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2041 lines (2041 loc) · 102 KB
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train/algebra__linear_1d
Solve -9*u - 12 + 28 = 34 for u. -2
Solve 62*q + 1256 = -115*q + 6743 for q. 31
Solve 13*t - 80 = -15 for t. 5
Solve 2*d + 179 = 169 for d. -5
Solve 198 = 118*w - 55*w - 52*w for w. 18
Solve -5 = -2*h + 5 for h. 5
Solve 13*t + 305 - 279 = 0 for t. -2
Solve 303145 - 281193 = -686*g for g. -32
Solve -4937 = 9*m - 5135 for m. 22
Solve -541*v + 537*v = 16 for v. -4
train/algebra__linear_1d_composed
Suppose -3*l - 34 = -5*u, 4*u - u + l = 26. Suppose -3*k = -2*i - 17, i + 2*i +
18 = 2*k. Solve -y + k = u for y. -5
Let x = -5 + -3. Let z = x + 14. Solve 0 = 3*o + z - 18 for o. 4
Let t = 341 - 335. Suppose -3*j = 4*c - 49, -t*c - 4*j - 18 = -9*c. Solve -c*z
+ 3 = -17 for z. 2
Suppose -3*d = 3*a - 39 - 12, -2*a - 57 = -5*d. Let g = d - 7. Suppose 0*j + g
= j. Solve s - j = 3*s for s. -3
Let r(i) = i**2 - 7*i + 6. Let d(q) = 5*q**3 + q. Let a be d(1). Let u be r(a).
Let x be 16/(-3)*(-3 + u). Solve s - 5*s + x = 0 for s. 4
Suppose w + 3*w = 7*w. Suppose s = -4*i + 16, i = 5*s - 0 + 4. Suppose -3*l +
15 = -0*k + 3*k, s = 5*l - 15. Solve w = -a - k - 2 for a. -4
Suppose 9 = -4*u + 7*u + 3*a, 5*u - 15 = 4*a. Solve 2*d + u*d = 0 for d.
0
Suppose -4*v = 55 - 71. Let u be (-2 + 4 + v)*(-4)/(-3). Solve -5*s - 12 - u =
0 for s. -4
Let v(x) = -x**3 - 2*x**2 + 2. Let b be v(-2). Suppose -11*k + 27 = -b*k. Solve
2*y = -k*y for y. 0
Suppose u = -3, 2*x - 5*u = -2*x + 35. Suppose 2*a + 4*q - 21 = 3*q, 0 = q - x.
Solve 0 = -r + 3*r + a for r. -4
train/algebra__linear_2d
Solve 3*l = 3*v - 9, 4110*l - 4115*l - 6*v = -29 for l. 1
Solve 10 = -5*m + 5*w, -240*m + 244*m - 28 = -5*w for m. 2
Solve 320*f + 22 = -x + 315*f, -2*x + 7*f + 24 = 0 for x. -2
Solve 10 = -3*f - 4*l, -3*f - 2*l - 8 = -0*l for f. -2
Solve 0 = 3*b + 2*p - 1, 0*b - 17*p + 111 = 2*b + 32 for b. -3
Solve 0 = -4*j - 2*v + 12, -2*j + 2 = -0*j - v for j. 2
Solve -2*o + 20 = -108*f + 104*f, 0 = -4*o - 2*f for o. 2
Solve 148*j + 9 = -5*m + 279*j - 135*j + 28, 0*m + 2*m - 2*j + 14 = 0 for m.
-1
Solve -4*r = -2*v - 30, -10 = 10*r - 12*r for v. -5
Solve -2*p + 5 = -f, -309*p - f = -310*p + 2 for p. 3
train/algebra__linear_2d_composed
Let k be (-17)/(-85)*(15 - 0). Solve p = -1, -2*p - 4 - k = -5*u for u.
1
Let i = -11 - -13. Solve 0 = -5*r + 3*s - 20, r + 4 = -i*s - 0 for r.
-4
Let a(s) = s**2 + 17*s. Let p be a(-11). Let x = -59 - p. Solve u + g - 2 =
4*g, -4*u - x = 3*g for u. -1
Let b be 36/(-54) + 4/6. Suppose -5*y + 55 = -5*k, b*k + 16 = -4*k. Suppose y -
8 = -j. Solve 5*t = 5*l - 13 - 22, t = -l - j for l. 3
Let c(w) = 7*w - 9. Let i be c(2). Solve -i*z - 4 = -2*y + 24, -2*y = -2*z - 16
for y. 4
Let o = 1153 + -1137. Solve 4*i + n + o = -0*n, -3*n = 0 for i. -4
Let d be -1 + (4 - -1)*1. Let h be ((-6)/(-30))/(3/105). Solve y - d*f = -11,
4*y + h = -5*f + 47 for y. 5
Suppose -h = 3*r - 11, -63*h = 5*r - 58*h - 25. Suppose l = -2*t - 2, 3*l =
-r*t + 7*t + 14. Solve -2*d + l + 26 = 4*v, -d = v - 9 for d. 4
Suppose 0*u + 6 = -3*u. Suppose -2*y = -8*y - 18. Let n be u - y*12/9. Solve
-5*c = -n*v + v - 3, -5*v = 3*c + 15 for v. -3
Suppose 0 = -9*c + 48 - 3. Solve 5*a - 4*a = h + 8, c*h + 2*a = -19 for h.
-5
train/algebra__polynomial_roots
Solve 89213*b**3/2 + 356965*b**2/2 + 178652*b + 226 = 0. -2,
-113/89213
Determine r so that -70*r**5 - 281*r**4 + 1304166*r**3 - 1285189*r**2 - 18626*r
= 0. -139, -1/70, 0, 1, 134
Suppose 2*t**3/3 + 48*t**2 + 778*t/3 - 308 = 0. Calculate t. -66, -7,
1
Factor 9*u**5 + 507*u**4/4 + 21*u**3/2. 3*u**3*(u + 14)*(12*u + 1)/4
Determine r, given that 2*r**2 - 208*r + 3360 = 0. 20, 84
Factor -2*v**2/7 - 96*v/7 - 1152/7. -2*(v + 24)**2/7
Suppose 2*m**5/5 + 8826*m**4/5 + 44068*m**3/5 - 10592*m**2 - 282048*m/5 +
282112/5 = 0. What is m? -4408, -4, 1, 2
Let 7845*x**2 - 7818*x - 27 = 0. What is x? -9/2615, 1
Find z, given that -363*z**4/2 - 1947*z**3/2 - 336*z**2 - 30*z = 0. -5,
-2/11, 0
Let -252*f**4 - 3021*f**3 + 36*f**2 = 0. What is f? -12, 0, 1/84
train/algebra__polynomial_roots_composed
Factor -3/2*v**3 + 9/2 + 3/2*v**2 + 15/2*v. -3*(v - 3)*(v + 1)**2/2
Factor 15*f**4 - 50*f**2 - 182*f**5 - 30*f**3 + 105*f + 359*f**5 - 172*f**5 -
45. 5*(f - 1)**3*(f + 3)**2
Let z(y) be the first derivative of 3/22*y**4 + 3/11*y**2 - 18 + 4/11*y -
16/33*y**3. Solve z(j) = 0. -1/3, 1, 2
Let x be (0 - -4)/((-27)/(-54)). Suppose -x + 0 = -4*k. Let -1/6*d - 1/6*d**5 +
0*d**k + 0 + 0*d**4 + 1/3*d**3 = 0. Calculate d. -1, 0, 1
Let o(r) be the second derivative of 2*r + 1/18*r**4 - 2/3*r**3 + 0 + 3*r**2.
Solve o(z) = 0 for z. 3
Let j be 8 - (4 - (-4 - -12)). Suppose -5*v + 10 = 0, -3*q + 5*q - j = -4*v.
Factor 4*l**q + 5*l**2 - 5*l + l - 3*l**2 - 2*l**4. -2*l*(l - 1)**2*(l +
2)
Let x(r) = 3*r**3 + 10*r**2 + 4*r + 4. Let l(i) = -3*i**3 - 9*i**2 - 3*i - 3.
Let u(s) = 7*l(s) + 6*x(s). Suppose u(j) = 0. Calculate j. -1, 1
Let i be (-12 - (-18)/6) + 12. Let f(n) be the second derivative of -n - 4*n**2
+ 8/3*n**i + 1/10*n**5 + 0 - 5/6*n**4. Factor f(q). 2*(q - 2)**2*(q -
1)
Let f be 33/9 + 1/3. Find h such that h - 8*h**2 - h - 10*h**4 + 6*h**f +
12*h**3 = 0. 0, 1, 2
Let q(h) be the second derivative of 0*h**2 - 1/45*h**5 + 3*h + 0*h**3 +
1/54*h**4 + 1/135*h**6 + 0. Factor q(r). 2*r**2*(r - 1)**2/9
W0116 15:18:36.878751 140704436800320 generate.py:168] Dropped 3 examples
train/algebra__sequence_next_term
What is the next term in 8079, 8099, 8119? 8139
What comes next: 1155, 1158, 1163, 1170, 1179, 1190? 1203
What comes next: 54341, 217267, 488827, 869027, 1357873? 1955371
What is the next term in 8115593, 16231190, 24346787, 32462384, 40577981?
48693578
What comes next: 31495, 31498, 31503, 31510, 31519, 31530, 31543?
31558
What comes next: 2521, 4345, 6167, 7987, 9805, 11621? 13435
What comes next: 4091, -1678, -11285, -24724, -41989, -63074, -87973, -116680?
-149189
What is next in 1290, 2577, 3862, 5145, 6426? 7705
What comes next: 862, 1615, 2368, 3121, 3874, 4627? 5380
What is next in -1257, -1538, -1823, -2112, -2405, -2702? -3003
train/algebra__sequence_nth_term
What is the a'th term of 390989, 781488, 1171987, 1562486? 390499*a +
490
What is the h'th term of -14, -47, -102, -179, -278, -399? -11*h**2 -
3
What is the n'th term of -91, -97, -101, -103? n**2 - 9*n - 83
What is the c'th term of -493, -822, -1709, -3436, -6285, -10538?
-47*c**3 + 3*c**2 - 9*c - 440
What is the q'th term of 1333, 2667, 3991, 5299, 6585, 7843, 9067, 10251?
-q**3 + q**2 + 1338*q - 5
What is the b'th term of 1751, 3508, 5263, 7016, 8767? -b**2 + 1760*b -
8
What is the k'th term of 5523, 11046, 16569, 22092? 5523*k
What is the n'th term of 38, 103, 190, 311, 478, 703, 998? 2*n**3 - n**2
+ 54*n - 17
What is the w'th term of 2498, 2490, 2470, 2432, 2370? -w**3 - w +
2500
What is the i'th term of 384097, 768223, 1152349, 1536475, 1920601, 2304727?
384126*i - 29
W0116 15:18:37.018353 140704436800320 generate.py:168] Dropped 1 examples
train/arithmetic__add_or_sub
What is -1.1 + -1.159? -2.259
Sum -0.027 and 15.13. 15.103
Calculate -0.2 + -9.83. -10.03
Calculate -3411522997 + -129554. -3411652551
Add 163075985867 and 2. 163075985869
Work out -65723 + -18. -65741
Work out 0.2979 + -52967. -52966.7021
What is the difference between -17.7 and -894.3? 876.6
Work out 0.1 - -1554433053. 1554433053.1
What is 327.68 less than -1007039072? -1007039399.68
train/arithmetic__add_or_sub_in_base
In base 12, what is 128 + 20? 148
In base 15, what is -1b + -1b4e7? -1b513
In base 12, what is -6 + -183922? -183928
In base 14, what is -8b - 1836? -18c3
In base 3, what is 121112 - 210002? -11120
In base 4, what is -20311 - 31031? -112002
In base 14, what is -45 + 3? -42
In base 3, what is 20012212102 - -11021? 20020000200
In base 3, what is 11122102220120 - 0? 11122102220120
In base 5, what is 1413211 - 122020? 1241141
train/arithmetic__add_sub_multiple
What is the value of -1 - (-9 + 2 - -3) - 3? 0
What is the value of -230 - -253 - (49 + 5)? -31
Calculate (18 - 8 - -10) + -17. 3
Calculate 3 - -1 - (-19 + 20). 3
What is (0 - 6) + 2 + 1? -3
What is the value of 7 + 82 + -54 + -27? 8
What is the value of 16 + 0 - (-63 + 73 + 23)? -17
What is 2 + -2 - (4 - 3 - 1)? 0
What is (-8 - -5) + -5 + 7? -1
1 - (4 - (6 - 2)) 1
train/arithmetic__div
Divide 21965 by -5. -4393
Calculate -5324 divided by -2662. 2
Calculate -5376 divided by 448. -12
Calculate 6054 divided by -1. -6054
Calculate 138 divided by 3690. 23/615
25066244 divided by 94234 266
-6 divided by -79 6/79
Calculate -2 divided by 264. -1/132
What is -20 divided by 44? -5/11
Divide 212129 by 401. 529
train/arithmetic__mixed
Calculate (-11 - 2820/(-260))*26. -4
What is -1 - -23 - 14 - 19 - 7? -18
Evaluate (-75)/4 - ((25 - -56) + -81) - (-18)/(-8). -21
Calculate (-75)/125 + 5/((-30)/(-24)) - 3/5. 14/5
What is (-293)/(433347/58) + (-3268)/(-102)? 32
What is the value of (-9)/8*1000/(-125)? 9
What is the value of -1 + 15/18 + 0? -1/6
((-2)/(-4))/(17 + 26/((-7800)/5275)) -6/7
What is ((-2)/96)/(20/(-80))? 1/12
Calculate ((-15)/(-21) - (12 - 745/35)) + (0 - 2). 8
train/arithmetic__mul
What is 163 times 0? 0
Work out 25 * -20. -500
What is 13.2 times 0.02? 0.264
Multiply -0.813285 and -0.22. 0.1789227
What is the product of 18 and -5? -90
What is 20 times -0.875? -17.5
What is the product of -197699677 and -2? 395399354
What is the product of -3 and 11.094237? -33.282711
What is the product of 4 and -16720? -66880
What is 207385694 times -2? -414771388
train/arithmetic__mul_div_multiple
Evaluate 70*(-11)/154*(-18)/(-20)*4. -18
Evaluate (864/(-162))/(3*(-21)/(-27)). -16/7
What is (20/156*-3)/(-1)*6/15? 2/13
Evaluate ((-108)/7128)/((-53)/(-636)). -2/11
(-12)/4*-3*2/(-30) -3/5
Calculate 2*(1/(-7))/(8/(-28)). 1
What is the value of (-104)/10*(-13)/312*6*10? 26
What is the value of 52/143*16/16? 4/11
What is 1820/(-624)*(-20)/(-25)*4*2/(-812)? 2/87
What is 144/1080*1*10/(-1)? -4/3
train/arithmetic__nearest_integer_root
What is the fifth root of 46299927 to the nearest integer? 34
What is the cube root of 118178118 to the nearest integer? 491
What is the cube root of 337409 to the nearest integer? 70
What is the cube root of 211 to the nearest integer? 6
What is 686552 to the power of 1/2, to the nearest integer? 829
What is the square root of 324359 to the nearest integer? 570
What is 610764380 to the power of 1/7, to the nearest integer? 18
What is the sixth root of 301 to the nearest integer? 3
What is the third root of 3779035 to the nearest integer? 156
What is 2484 to the power of 1/2, to the nearest integer? 50
train/arithmetic__simplify_surd
Simplify -4*(1*sqrt(17)*-3 - sqrt(1700)*1)**2. -11492
Simplify 2*sqrt(468) - (sqrt(13) - (sqrt(52) + 0)). 13*sqrt(13)
Simplify ((sqrt(64)/sqrt(36) - sqrt(16)) +
sqrt(176)/(-1*sqrt(11)))/(sqrt(40)/(-6*sqrt(5)*2)*-3) + -2.
-20*sqrt(2)/3 - 2
Simplify (-5 + -3 + sqrt(1872) + sqrt(1872) - -1*(sqrt(1872) + sqrt(1872) +
0))**2 + 4. 30020 - 768*sqrt(13)
Simplify (-3*(sqrt(3520)*2*4 - sqrt(3520)))/(-1*sqrt(500) + (sqrt(45)*1 -
sqrt(5)))*-1. -21*sqrt(11)
Simplify -5 + 5 + (sqrt(152) + (sqrt(152) - (sqrt(152) + (sqrt(152) -
sqrt(152)*3))*-6))/(5*sqrt(32)/sqrt(4)). -4*sqrt(19)/5
Simplify ((-1*sqrt(110)*-2)/((1*sqrt(15))/sqrt(3)))/(-6*-2*sqrt(99)*-2)*-6.
sqrt(2)/6
Simplify sqrt(55)/(sqrt(320) + (sqrt(320) - ((sqrt(320)*5 - sqrt(320)) +
sqrt(320))))*5. -5*sqrt(11)/24
Simplify 5 + 5 + (sqrt(2736) + 3)**2 + 1 + ((-2 + sqrt(2736))*-6 + sqrt(2736) -
(5 + 4 + sqrt(2736)))**2. 101261 - 360*sqrt(19)
Simplify -5*5*(-2 + ((sqrt(63)/sqrt(3) - sqrt(21))/sqrt(3) -
4*sqrt(49)/sqrt(7))). 50 + 100*sqrt(7)
train/calculus__differentiate
What is the third derivative of -38*q**4 - 78988*q**3 - 541*q**2 + 27180*q wrt
q? -912*q - 473928
Find the third derivative of -35735389*i**4 - 8*i**3 + 5*i**2 - 80577410*i + 2.
-857649336*i - 48
Find the second derivative of -146052281*j**2 - 32191951*j.
-292104562
What is the first derivative of -199*y - 180 wrt y? -199
Find the second derivative of 52*j**5 - 1541*j**4 + 126421*j. 1040*j**3 -
18492*j**2
What is the third derivative of 3681691*y**4 - 2*y**3 - 1716655*y**2?
88360584*y - 12
What is the third derivative of 523606*c**4 + 166*c**3 + 282094233*c**2 wrt c?
12566544*c + 996
What is the third derivative of -372758*p**4 + p**2 - 35709 wrt p?
-8946192*p
What is the second derivative of -29779118*s**4 - 10169243*s wrt s?
-357349416*s**2
What is the third derivative of -444233164*t**3 - 21*t**2 - 2645*t - 134?
-2665398984
W0116 15:18:38.120936 140704436800320 generate.py:168] Dropped 10 examples
train/calculus__differentiate_composed
Let j(x) = -27*x + 63*x - 34*x + 41. Let f be j(-19). Differentiate -8 + 0*a**3
+ 13 + a**f wrt a. 3*a**2
Find the second derivative of -4*f + 10*f - 37*f**2 - 5*f**2 - 21*f wrt f.
-84
Suppose 2 = 3*t - 1. Let s(j) = 2*j. Let r be s(t). What is the third
derivative of -2*v**5 + 3*v**2 - v**r - v**2 wrt v? -120*v**2
Let y(v) be the second derivative of 0 - v**3 - 11/6*v**4 - 19*v + 0*v**2. Find
the second derivative of y(p) wrt p. -44
Let w be 1/(-1) + (119 - (-30)/(-5)). Find the third derivative of -34594*q**3
+ 108*q**2 + 34594*q**3 - w*q**6 wrt q. -13440*q**3
Let d = 204 + -199. Let o(h) be the third derivative of 0*h + 1/60*h**d -
4*h**2 + 0*h**3 + 0 - 1/8*h**4. What is the second derivative of o(m) wrt m?
2
Let g(t) be the first derivative of 0*t - 1 + t**2 + 0*t**3 + 0*t**4 +
3/5*t**5. What is the second derivative of g(w) wrt w? 36*w**2
Let h(a) = -252*a**5 + 87*a**2 + 3*a - 3. Let r(f) = -1264*f**5 + 436*f**2 +
16*f - 16. Let y(w) = 16*h(w) - 3*r(w). Find the third derivative of y(t) wrt
t. -14400*t**2
Let p(n) be the first derivative of n**9/1512 - n**5/120 - n**3 - 2. Let z(y)
be the third derivative of p(y). Find the second derivative of z(j) wrt j.
40*j**3
Suppose -16*u + 20 = -12. Let n(w) be the first derivative of 5/2*w**u + w + 1.
What is the first derivative of n(z) wrt z? 5
W0116 15:18:38.226002 140704436800320 generate.py:168] Dropped 2 examples
train/comparison__closest
What is the nearest to -1/2 in 3, -89854, -2, -12? -2
Which is the nearest to 1757? (a) -0.2 (b) -0.09 (c) 0.08 (d) 1/3 (e) -3
(f) -56 d
Which is the closest to -2/7? (a) 2/7 (b) -2/17 (c) 2 (d) 688 (e) -0.6
b
What is the closest to 0.1 in 24, -2/11, -5, -5.5? -2/11
Which is the closest to 357? (a) -3 (b) -79 (c) 5 (d) -2 (e) 4 c
What is the nearest to 9 in 0, -1/9, -4/9, -1/4? 0
What is the closest to 2/3 in 2/5, 0.5, 17/3? 0.5
Which is the nearest to -5/9? (a) -3 (b) -0.3 (c) 9 b
What is the closest to 9 in 1, -28, -2/7? 1
Which is the nearest to 0.4? (a) -23 (b) -3 (c) 143 (d) -3/4 (e) -1/4 (f)
2/17 f
train/comparison__closest_composed
Let z = -3.7 + -17.3. Let p = -23 - z. Let f be (-8)/4 + 8/2. Which is the
nearest to p? (a) -4 (b) f (c) -1/7 c
Let s = 1828 + -1830. Let m = 258/77 + -40/11. Which is the closest to 5? (a)
-0.02 (b) m (c) s a
Let t be ((-11)/2)/11*-326. Let w = -160 + t. What is the closest to -1 in 4/9,
w, -2/9? -2/9
Let m = -10 + 15. Let t = 0.4 - -0.6. Let n = t - 1. Which is the closest to
-1? (a) m (b) 4 (c) n c
Let d = 6.9 - 3.9. Which is the closest to 0? (a) d (b) 1/4 (c) 2/15
c
Let y = -6 + 7. Which is the nearest to y? (a) 4 (b) -0.5 (c) 1 c
Let s be 4/10 - -7*(-6)/105. What is the nearest to s in 0, 2, 1/2? 0
Let d = -10 + 6. Let i = 4.5 + d. Let s = i + -0.8. What is the nearest to 0.1
in -0.1, 1, s? -0.1
Let y = 19 - 18.5. Let f = 5 + -3. Let p = f + 1. Which is the nearest to -1/4?
(a) 4/3 (b) y (c) p b
Let p be (-7)/12 + (-8)/(-24). Which is the nearest to 4? (a) -5 (b) 1/2 (c)
p b
W0116 15:18:38.288442 140704436800320 generate.py:168] Dropped 1 examples
train/comparison__kth_biggest
What is the fourth smallest value in -0.13, 3/7, 2, 1, 0.27? 1
What is the fifth smallest value in 0.28, 3, -3/2, 5, -3/4? 5
Which is the second smallest value? (a) -3 (b) -4 (c) 122 (d) -2
a
Which is the biggest value? (a) 4 (b) -17 (c) -0.3 (d) -69 a
Which is the second smallest value? (a) 5 (b) 141 (c) 3/2 (d) -5
c
What is the fifth smallest value in 993, 18/35, -0.4, -7, -0.1? 993
What is the fourth biggest value in -0.22, 0.6, -3/10, 0.2, 4, -0.04?
-0.04
Which is the biggest value? (a) 5 (b) 0.28 (c) -5/132 (d) 4 a
What is the sixth biggest value in 5, 0.5, 1, -0.06, 0.02, 20? -0.06
What is the biggest value in 2, -7, -2? 2
train/comparison__kth_biggest_composed
Let g = 126757 + -32323081/255. Let p = 1/51 - g. Let z = -125.3 - -125. Which
is the biggest value? (a) p (b) -1/8 (c) z a
Let o be 1/1 - (-8 - 471). Suppose 8*w = -0*w - o. Let l be 5/w - (-1)/(-4).
What is the second biggest value in l, -1, -3? -1
Let k be (-2)/(-4)*(3 - 15). Let p be (0/(-4) - k)/(42/(-4)). Let n = -2.93 -
0.07. Which is the biggest value? (a) n (b) -0.4 (c) p b
Let y be 5/(-14) + 2/4. Let z be (351/15)/((-27)/90). Let n be
(-6)/z*(-26)/(-8). What is the biggest value in y, -1/6, n, 5? 5
Let h = 0.0237 + 330.9763. Let j = -318 + h. What is the biggest value in -15,
1/3, j? j
Let u = -0.06 - -4.06. Let k = -50 - -146/3. Suppose -3*i + 61 = 73. What is
the second smallest value in i, 2, u, k? k
Let k be (-1)/6 + (-7464)/144. Let i be k/13 + (0 - -5). What is the second
biggest value in i, 4, -2/45? i
Let z = -2 - -8. Let g = -132 - -136.1. Let a = 3.8 - g. What is the second
smallest value in a, z, -1/6? -1/6
Let w = -20.99 - 0.01. Let f = w - -20. Let y = f - -1.5. Which is the smallest
value? (a) -1 (b) y (c) -3 c
Suppose 6 = 4*k - 2*k. Suppose 0*x - k = -x. Let j = 4.7 - 5. Which is the
biggest value? (a) j (b) x (c) -2/7 b
train/comparison__pair
Which is smaller: -9 or 2? -9
Do -117 and 66416 have different values? True
Is -1438 at most -1438? True
Which is bigger: 21.2 or -0.00815? 21.2
Which is smaller: -60392 or -120783/2? -60392
Is 171 greater than or equal to -3? True
Is -1278 less than or equal to -1283? False
Is 3353 greater than 3293? True
Is 0 greater than or equal to -5/18731753? True
Which is bigger: -3.79 or -265.16? -3.79
train/comparison__pair_composed
Suppose -81 = 2*x + 3*i, 670*i - 7 = 671*i. Is -214/7 != x? True
Let q = -257.44 - -257.3. Suppose 3*i = -361 - 23. Let k be (24/i)/(1/4). Is k
less than or equal to q? True
Let q = 0.169 - -20.931. Let r = q + -21. Which is greater: r or -1?
r
Let q be 255/(-15) + 34 - 2539. Is -12607/5 at most as big as q?
False
Suppose 2*t = -t. Suppose t = 3*r - 15. Do r and 5 have the same value?
True
Let r = -47926/75943 + -2/3997. Let p = 22/95 + r. Which is bigger: p or 0?
0
Suppose 0 = 2*y - y + 4*i, -3*i = 5*y. Let o be (4/(-14) - 18/84)*20. Let x be
(8/20*-1*o)/(-9). Which is greater: y or x? y
Suppose 9 = 108*p - 105*p. Let z(i) = 3*i - 3. Let n be z(2). Is p < n?
False
Let x be 2/(-4)*2*1. Let p(v) = -5*v**2 + 5*v + 1. Let y(o) = 4*o**2 - 4*o - 1.
Let b(i) = 3*p(i) + 4*y(i). Let d be b(x). Which is smaller: d or 1/6?
1/6
Let k = 18/61 + -363/610. Let z be (-28)/(-21)*(-3 + (-18)/(-4)). Suppose l - 1
= z*l. Which is smaller: l or k? l
train/comparison__sort
Put -63, -1, -19, 2, 3, -5 in decreasing order. 3, 2, -1, -5, -19,
-63
Sort 1, -55, -61, 4 in descending order. 4, 1, -55, -61
Put 26, -5, -11472, -10, 7, -4 in ascending order. -11472, -10, -5, -4,
7, 26
Sort -15, -25, 0, -9. -25, -15, -9, 0
Put -1.9, 0.8, -14 in decreasing order. 0.8, -1.9, -14
Sort -1, 2/5, -3 in decreasing order. 2/5, -1, -3
Sort -8, 1, 0.1, 5, -2 in decreasing order. 5, 1, 0.1, -2, -8
Sort 304, -3/7, 1 in descending order. 304, 1, -3/7
Put -3, 42, -32, 5 in descending order. 42, 5, -3, -32
Sort -6, 26340, -3, 56. -6, -3, 56, 26340
train/comparison__sort_composed
Suppose 0 = -2*v + 2 + 2. Suppose 3*h = 3*t + 12, -4*h - v = 2*t - 0. Sort -4,
h, -1 in descending order. h, -1, -4
Let c = 2564 - 2561. Sort 7, 4, 2, c in ascending order. 2, c, 4, 7
Let a be ((-344)/40 - -9)/((-6)/70) + 4. Let o = 168 - 172. Sort -0.2, o, 3/11,
a. o, a, -0.2, 3/11
Let n = 16.032 - 0.032. Let m = 0.22 - -10.78. Let p = m - n. Put p, 0.3, -0.2
in decreasing order. 0.3, -0.2, p
Let n = 8 + -10. Suppose -20 = 2*r + 2*r. Let y be 0 - 1/((-1)/r). Put y, n, -3
in descending order. n, -3, y
Let d be (-2)/(-3) + 1 + -2. Let y = -11615 - -58421/5. Let l = -69 + y. Sort
d, l, 1 in descending order. 1, l, d
Let l(h) = -h**3 + 9*h**2 - 9*h + 7. Let o be l(8). Put -5, o, 2 in decreasing
order. 2, o, -5
Let a be -145 + (-63)/(-210)*50. Sort 40, -1, a, -4 in decreasing order.
40, -1, -4, a
Suppose 0*p - 5 = 5*p, -3*v = -3*p. Let y = -4 + 3.9. Sort v, 5, y. v, y,
5
Let s(p) = -p**2 + 18*p + 5. Let i be s(0). Sort 83, i, 4 in descending order.
83, i, 4
train/measurement__conversion
How many millilitres are there in 0.6877289 litres? 687.7289
What is 3/8 of a microgram in nanograms? 375
How many milliseconds are there in 49505.73 days? 4277295072000
What is 85/6 of a day in hours? 340
Convert 4.102195 millilitres to litres. 0.004102195
What is fourty-five quarters of a kilogram in grams? 11250
What is 3/5 of a milligram in micrograms? 600
What is one twentieth of a centimeter in micrometers? 500
What is 906.46794 minutes in weeks? 0.089927375
How many kilograms are there in 58.68704 tonnes? 58687.04
train/measurement__time
How many minutes are there between 1:12 PM and 9:56 PM? 524
How many minutes are there between 11:26 AM and 5:08 PM? 342
How many minutes are there between 6:21 PM and 4:09 AM? 588
What is 14 minutes before 11:06 PM? 10:52 PM
How many minutes are there between 6:11 AM and 8:35 AM? 144
How many minutes are there between 2:19 AM and 5:43 AM? 204
What is 514 minutes after 11:15 AM? 7:49 PM
What is 130 minutes before 12:05 AM? 9:55 PM
How many minutes are there between 11:50 PM and 12:46 AM? 56
How many minutes are there between 5:47 AM and 3:59 PM? 612
train/numbers__base_conversion
What is -15b832 (base 12) in base 3? -200221021002
599 (base 11) to base 6 3145
What is -9 (base 13) in base 11? -9
What is -11101000101 (base 2) in base 6? -12341
-1131142 (base 5) to base 12 -10051
Convert -5a (base 16) to base 4. -1122
Convert a7 (base 15) to base 3. 12211
Convert -110 (base 3) to base 14. -c
-1315 (base 7) to base 11 -417
What is -101443 (base 5) in base 8? -6455
train/numbers__div_remainder
What is the remainder when 100807 is divided by 69? 67
Calculate the remainder when 1600384 is divided by 340. 4
Calculate the remainder when 101 is divided by 35. 31
Calculate the remainder when 15441 is divided by 249. 3
What is the remainder when 2157 is divided by 16? 13
What is the remainder when 120744 is divided by 59933? 878
What is the remainder when 1177260 is divided by 196130? 480
What is the remainder when 419524 is divided by 2856? 2548
Calculate the remainder when 82 is divided by 81. 1
Calculate the remainder when 1645896 is divided by 5695. 41
train/numbers__div_remainder_composed
Suppose -7*x + 8*x - 24 = 0. Suppose d + d = x. What is the remainder when 33
is divided by d? 9
Suppose -4*o + 484 = d - 420, 0 = 4*d - o - 3599. What is the remainder when d
is divided by 53? 52
Let w = -107 - -154. What is the remainder when 231 is divided by w?
43
Suppose 26*b + 2 = 27*b. What is the remainder when 6 is divided by b?
0
Let h(o) be the first derivative of o**4/4 + 19*o**3/3 - o**2/2 - 9*o - 2. What
is the remainder when 59 is divided by h(-19)? 9
Let l = 0 - -39. Suppose 26*z = 7*z. Let y(h) = 8*h + 155. What is the
remainder when y(z) is divided by l? 38
Suppose -21 = -r + 26. Suppose 20 = o - 36. Suppose -5*u - x = -64, -u + o =
4*u - x. Calculate the remainder when r is divided by u. 11
Let f(v) = v**2 + 2*v - 3. Let c be f(-3). Suppose 4*y - 6 = 3*z, z + c*z = y -
1. Let w = -2637 - -2651. Calculate the remainder when w is divided by y.
2
Let u(g) = 6*g + 0*g - 13 + 2 - 22. Calculate the remainder when u(25) is
divided by 41. 35
Suppose -4*l + 52 = 5*o - o, o = 2*l - 38. Let z = 444 - 379. Calculate the
remainder when z is divided by l. 14
train/numbers__gcd
Calculate the greatest common factor of 3223 and 214183. 293
What is the greatest common divisor of 28 and 133? 7
What is the highest common divisor of 22286 and 44? 22
What is the highest common divisor of 183 and 1891? 61
Calculate the greatest common divisor of 105347440 and 520. 40
What is the highest common factor of 756 and 788172? 84
Calculate the greatest common factor of 210981 and 18. 3
Calculate the highest common divisor of 977771 and 20398. 31
What is the highest common factor of 680 and 10? 10
What is the greatest common factor of 98 and 2? 2
train/numbers__gcd_composed
Let q(o) = -4*o**3 - 15*o**2 - 12*o - 15. Let j be q(-6). Let l be j/6 -
(-1)/(-2). Calculate the highest common divisor of l and 7. 7
Let v be (-12)/8*92/(-6). Suppose 0 = -2*b + 557 - 51. Calculate the greatest
common factor of b and v. 23
Let r be ((-200)/15)/(4/(-12)). Suppose 4*n - r = -3*v, 0 = 3*v + 3*n - 4*n -
65. What is the greatest common divisor of 180 and v? 20
Let u(r) = 2*r**2 - 28*r + 6. Let j be u(18). Let z = 204 - j. Calculate the
greatest common factor of z and 135. 27
Suppose -139 = 9*l + 401. Let u = l - -248. Calculate the highest common factor
of u and 235. 47
Let i be (4/(-6))/((-2)/54). Let u(f) = -2*f**2 + 35*f + 8. Let b be u(18). Let
s = i - b. What is the highest common factor of 14 and s? 14
Let a be -1*5/1 - -1. Let r be (a/(-8))/(1*(-4)/(-48)). Let x be (-1 -
0)*1/(-1)*r. What is the highest common divisor of x and 2? 2
Suppose -121 = 7*d - 8*d. What is the highest common divisor of 11 and d?
11
Suppose -135 = -3*h - 12*h. What is the greatest common divisor of 9 and h?
9
Let y = -15477 + 15488. Suppose -3*p + 1408 = p. Calculate the highest common
divisor of p and y. 11
train/numbers__is_factor
Does 9 divide 117? True
Is 5628785 a multiple of 17? True
Is 516873194 a multiple of 94? True
Is 11 a factor of 509? False
Does 58 divide 239590112? True
Does 38 divide 28349748? True
Does 37 divide 999? True
Is 459452954 a multiple of 2? True
Is 25 a factor of 43125? True
Is 16281713 a multiple of 46? False
train/numbers__is_factor_composed
Let m(f) = 6*f - 11*f + 42*f + 36. Is m(12) a multiple of 34? False
Suppose -3*y + 51 = -0*p - 2*p, 5*y - 69 = -2*p. Suppose 5*l + y = 0, 0 = d +
5*l + 1 - 6. Does 10 divide d? True
Let u(o) = 87*o**2 - o - 1. Let s be u(-1). Suppose s - 6 = 3*y. Is 9 a factor
of y? True
Suppose 12*w + 7*w - 38 = 0. Let i(p) = 49*p - 7. Let r(y) = y. Let f(k) = i(k)
+ 2*r(k). Is f(w) a multiple of 29? False
Let c = -9 - -15. Does 5 divide c? False
Let j(c) = 1 - 3*c. Let y be 2/(4/38) + 1. Suppose -n - y = 4*n. Does 13 divide
j(n)? True
Let d = 111 - -256. Is d a multiple of 14? False
Suppose 8*i - 6*i + 6 = 0. Let t be 1 + i + 2 + 0. Suppose t = 3*c, -q + c =
3*q - 568. Is 18 a factor of q? False
Suppose -2*i - 5*q + 418 = 0, 384 + 10 = 2*i - q. Let r = 279 - i. Does 40
divide r? True
Suppose 0*s + 15 = c + 3*s, s = -c + 11. Let j be 831*((-30)/c - -4). Suppose
4*m - j = 2*x, 0 = 3*m + 3*x - 279 - 159. Does 12 divide m? False
train/numbers__is_prime
Is 62299133 composite? True
Is 1150531 a prime number? True
Is 20885 prime? False
Is 33922087673 composite? False
Is 1628051 a prime number? True
Is 6873017299 a composite number? False
Is 20623 a prime number? False
Is 26306971 a prime number? True
Is 4973474431 composite? True
Is 714247 prime? True
train/numbers__is_prime_composed
Let l(u) = -35*u**2 + 63*u - 124. Let w(g) = 7*g**2 - 12*g + 25. Let p(r) =
2*l(r) + 11*w(r). Is p(-22) a composite number? False
Suppose 152 = -4*d - 112. Let c = 187 + d. Is c a prime number? False
Suppose 10*i - 748 = 7042. Is i prime? False
Let g(i) be the third derivative of 611*i**4/24 + 7*i**3/6 + 22*i**2 - 2. Is
g(2) composite? False
Let l(b) = -b - 11. Let j be l(-6). Let m = j - -10. Suppose 0 = p - m, -3*i -
p + 170 = 0. Is i a composite number? True
Let d(j) = -46*j**3 - 28*j**2 + j - 96. Is d(-13) a prime number?
True
Let z(v) = -51549*v - 4654. Is z(-3) a composite number? False
Suppose 11*d = 13*d + 4*i - 49806, -d + 5*i = -24854. Is d prime?
True
Suppose 3*l = 3471 + 6360. Is l a prime number? False
Suppose 4*u + 4*k = -92, 0*u + 2*k - 74 = 4*u. Let i be (-24)/u*5/2. Suppose
0*b + i*t - 11 = -2*b, -4*t = 20. Is b prime? True
train/numbers__lcm
Calculate the common denominator of -93/10 and -133/54. 270
Calculate the common denominator of -91/7194 and 1/24. 28776
Calculate the least common multiple of 144 and 36. 144
What is the common denominator of -26/181 and 6/1224827? 1224827
Calculate the least common multiple of 33 and 90. 990
What is the least common multiple of 627520 and 185? 627520
What is the common denominator of -7/153 and -47/15? 765
What is the least common multiple of 3835 and 22383? 85838805
Calculate the smallest common multiple of 44 and 120. 1320
Calculate the smallest common multiple of 227 and 49032. 49032
train/numbers__lcm_composed
Suppose -3*q - 12*w = -13*w - 65, -q - 4*w + 13 = 0. Calculate the smallest
common multiple of 98 and q. 294
Let z = -58689/32300 + 764/425. What is the common denominator of -49/20 and z?
6460
Let m be ((-114352382)/(-4))/((-1)/(-2)). Let g = m - 106290543121/1859. Let z
= g - -15/169. Calculate the common denominator of -53/10 and z. 110
Suppose -373*a = -375*a + 44. Find the common denominator of (a - 18) +
(-17)/(-16) and -17/80. 80
Suppose 0 = -3*x - 5*d + 472, 1053*d + 612 = 4*x + 1051*d. What is the least
common multiple of x and 924? 924
Let a be (-6)/12*1*5078. Let h = a - -20345/8. Find the common denominator of h
and -11/10. 40
Suppose -2*u = -4*j + 244, -2*j = -j + 3*u - 61. What is the common denominator
of -1*2/6*j and -57/8? 24
Let b = 724 - 316. Let t = -627 + b. What is the common denominator of (t/(-96)
- -2)/((-6)/8) and -69/20? 120
Suppose 6*b = m - 144, -b - 370 = -3*m - 23. What is the least common multiple
of m and 266? 798
Find the common denominator of 35/10*(6 - 969/238) and (6/15)/(12/205).
12
train/numbers__list_prime_factors
List the prime factors of 61036029. 3, 383, 17707
List the prime factors of 5273. 5273
What are the prime factors of 1044017? 13, 80309
List the prime factors of 74524. 2, 31, 601
List the prime factors of 51320. 2, 5, 1283
What are the prime factors of 165348? 2, 3, 1531
List the prime factors of 779112522. 2, 3, 31, 1396259
What are the prime factors of 134543709? 3, 727, 20563
List the prime factors of 29925443. 53, 269, 2099
What are the prime factors of 3418043? 19, 179897
train/numbers__list_prime_factors_composed
Suppose -3*d = 2*d - 1640. Suppose -9*c = -5*c - 8. Suppose -c*f - d = -6*f.
What are the prime factors of f? 2, 41
Suppose -2*b = -4*b - 4, 0 = 2*d - 5*b + 208. Let z = d - -114. Suppose 3*q -
321 = -z*j, 3*j - 535 = 2*q - 7*q. What are the prime factors of q?
107
Let q be 143 + (-1 - (-6)/(-3)). Suppose -4*v + 58 = -4*a - 102, 0 = 3*v + a -
q. What are the prime factors of v? 3, 5
Suppose 3*r - 5*z + 7 = 3, -5*z + 10 = 0. Suppose 3*m + 7 = 4*y, 5*y - 3*m - 1
- 4 = 0. List the prime factors of (y/(-2))/(r/6). 3
Let g be -20 + 25 - (-1 - -2). List the prime factors of g - (12/(-4) - 37).
2, 11
Let v(y) = y**3 - 26*y**2 - 17*y - 140. What are the prime factors of v(30)?
2, 5, 59
Suppose 4*n - 31 = -x, 3*n - 3*x = -6*x + 12. What are the prime factors of n?
3
Let b(w) = -w**3 - 10*w**2 + 33*w + 10. Suppose -4*n - 9 = f, -2*f + 7*f - 3*n
= -68. What are the prime factors of b(f)? 2, 11
Suppose -c - 7 = -27. Suppose 2*t - 6*t = -112. Let n = t - c. What are the
prime factors of n? 2
Suppose -a = 2*a - 21. What are the prime factors of a? 7
train/numbers__place_value
What is the ten millions digit of 337787753? 3
What is the tens digit of 525? 2
What is the thousands digit of 30868? 0
What is the hundreds digit of 36947? 9
What is the thousands digit of 2353? 2
What is the thousands digit of 281588? 1
What is the ten thousands digit of 950975? 5
What is the billions digit of 6119896257? 6
What is the tens digit of 287? 8
What is the hundred thousands digit of 12984678? 9
train/numbers__place_value_composed
Let i(a) = a**2 + 3*a - 3. Let n be i(-5). Suppose 2*k + 3 = -n. Let u = -1 -
k. What is the units digit of u? 4
Let t = 0 + -1. Let b be (0 + t)/(3/(-132)). Let s = -8 + b. What is the units
digit of s? 6
Suppose -31*z + 104 = -18*z. What is the units digit of z*(3 -
2)/((-24)/(-348))? 6
Let j = 6 + -1. Suppose -4*x = 2*t + t + 16, j*t = 4*x + 16. Suppose -i = -4*r,
t = 5*i - i + 4*r - 100. What is the tens digit of i? 2
Let y = -18527 + 20923. What is the units digit of y? 6
Let w = -711 + 2712. What is the thousands digit of w? 2
Suppose -2*t = 3*n - 379, 0 = n - 2*t - 85 - 44. What is the units digit of n?
7
Let p = 8606 - 4931. What is the hundreds digit of p? 6
Let f(u) = u**3 - 3*u**2 + 9*u - 6. Let n(g) = 3*g**3 - 10*g**2 + 26*g - 17.
Let v(p) = 11*f(p) - 4*n(p). What is the units digit of v(6)? 8
Suppose -5*c + 339813 = a, 3*c - 47*a = -46*a + 203883. What is the tens digit
of c? 6
train/numbers__round_number
Round -158456.963 to the nearest ten thousand. -160000
Round -65.1 to the nearest ten. -70
Round -2220 to the nearest 1000. -2000
What is 10209.52706 rounded to 0 decimal places? 10210
What is 36.4221 rounded to 1 dp? 36.4
Round -30378.2932 to zero dps. -30378
Round 2645427.53 to the nearest 100. 2645400
Round 11980 to the nearest 1000. 12000
Round 0.00001002 to 7 dps. 0.00001
Round -577460 to the nearest one hundred thousand. -600000
train/numbers__round_number_composed
Let k = -2.018918 - -1.9874. What is k rounded to two dps? -0.03
Let r = -53.16 - -53.103359. What is r rounded to 2 decimal places?
-0.06
Let b = -40.71042 - 0.11758. Let y = b - 0.072. Round y to 0 decimal places.
-41
Let s = 89.7224 - -17.8608. Let r = s - 98.58. Let o = r + -9. Round o to 3
decimal places. 0.003
Let y = -3.14286 - -3.14. What is y rounded to 4 decimal places?
-0.0029
Suppose 5*d = -4*t + 30, -d = -2*t - t + 13. Suppose h = d*h - 7400. What is h
rounded to the nearest one thousand? 7000
Let t = 108.28 + -107.26776. What is t rounded to two decimal places?
1.01
Let s = 598933579.999214 - 598932930. Let j = s - 650. Round j to five dps.
-0.00079
Suppose 7829 = 3*r - 3907. What is r rounded to the nearest one thousand?
4000
Let p = 1.36400773 - 1.364. What is p rounded to six dps? 0.000008
train/polynomials__add
Let u(t) = 6*t**3 - 8*t + 2. Let p(j) = j**2 + 2*j. Calculate 3*p(n) + u(n).
6*n**3 + 3*n**2 - 2*n + 2
Let o(d) = 20*d**2 + 100*d - 2. Let s(q) = 17*q**2 + 96*q - 2. Determine 5*o(w)
- 6*s(w). -2*w**2 - 76*w + 2
Let h(b) = 5*b**2 + 5*b - 4. Let s(k) = -6*k**2 - 6*k + 5. Give -4*h(n) -
3*s(n). -2*n**2 - 2*n + 1
Let q(g) = 11*g. Let b(d) = 6 - 16*d. Let o(m) = m - 1. Let n(i) = -b(i) -
6*o(i). Determine 2*n(z) - 3*q(z). -13*z
Suppose 3*t + 5 = -2*t. Let i(h) = -h. Let k be 21/(-420)*-20*-4. Let d(c) =
8*c. Give k*i(q) + t*d(q). -4*q
Let y(m) = -2*m**3 + 63*m**2 + 7*m + 1. Let d(i) = -2*i**3 + 64*i**2 + 6*i + 1.
What is 6*d(b) - 5*y(b)? -2*b**3 + 69*b**2 + b + 1
Let g(t) = -13*t**3 - 11*t**2 + t + 5. Let c(z) = 6*z**3 + 5*z**2 - 2. Give
5*c(r) + 2*g(r). 4*r**3 + 3*r**2 + 2*r
Let q(r) = -3*r**2 - 2. Let f(d) = 111*d**2 + 6*d - 9. Determine f(h) - 5*q(h).
126*h**2 + 6*h + 1
Let i(b) be the first derivative of 111 - b**2/2. Let p(u) = 4*u**2 - 6*u.
Determine 6*i(z) - p(z). -4*z**2
Let b(t) = 3*t**3. Let n(i) = 9*i**3 + 11*i**2 - 7. Calculate 5*b(o) - n(o).
6*o**3 - 11*o**2 + 7
W0116 15:18:39.279866 140704436800320 generate.py:168] Dropped 4 examples
train/polynomials__coefficient_named
Rearrange -y + 11*y**2 + 6*y**2 - 2*y - 24*y**3 - 16*y**2 to k*y + t*y**2 + x +
g*y**3 and give k. -3
Rearrange -5*u**2 + 70*u + 3*u**2 - 9*u to k*u**2 + z*u + h and give k.
-2
Rearrange 26*s**3 - 7*s**3 - 13*s**3 - 3*s**3 - 5*s**3 - 4095*s**2 to the form
c*s**3 + i*s + q*s**2 + m and give c. -2
Express (0*b + 2*b + 0*b)*(6 - 2 - 1) - 3*b + 4*b - 3*b - 2 + 2 - b + (-3*b +
5*b + 0*b)*(257 + 36 - 24) - 5*b + b + 3*b as c*b + p and give c.
540
Rearrange 2*a - 6*a**4 - 3*a + 3*a**3 + 2*a**2 - 3*a**3 to t*a**4 + k*a + h +
n*a**2 + y*a**3 and give k. -1
Rearrange 6*o + 2*o + 3*o + o + o**3 to z*o + a + u*o**3 + f*o**2 and give u.
1
Express 2*o**3 + o**3 - o**3 + (4 + 0 - 2)*(-o**3 + 6*o**3 - 4*o**3) + 4*o**2 -
938*o**3 + 24*o**3 - 4*o**2 - 594*o**3 as l + i*o**2 + g*o + c*o**3 and give
c. -1504
Express -m**4 + 0*m**4 - 3*m**4 + 36*m**4 - 38*m**4 + 24*m**4 + (2*m - 2*m**3 -
2*m)*(0*m - 2*m + m) in the form f*m**3 + c*m + k*m**2 + t*m**4 + r and give
t. 20
Rearrange 17 + a**3 - 2*a**2 - 17 + 2*a**4 to c*a**4 + x*a + g + n*a**2 +
f*a**3 and give n. -2
Rearrange -32 - 25*g + 32 - 2*g + 5*g - 5*g + (-3 - 1 + 6)*(0 + 0 + 2*g) + 5 -
5 - 3*g to d + y*g and give y. -26
train/polynomials__collect
Collect the terms in -215573*y**2 - 215753*y**2 + 430997*y**2.
-329*y**2
Collect the terms in -4*f + 9*f - 24 + 4*f + 2*f - 12*f. -f - 24
Collect the terms in 87900*n + 47913*n + 57279*n - 33081*n + 7745*n.
167756*n
Collect the terms in -2*j**2 - 2*j**2 - j**2 - 12. -5*j**2 - 12
Collect the terms in 9*j + 13*j - 10*j - 26*j + 7*j + 6*j. -j
Collect the terms in -69*h + 4*h + 26*h + h. -38*h
Collect the terms in 7 - 42375*m**2 + 49 + 42376*m**2. m**2 + 56
Collect the terms in -1751 + 1751 - 598*k**2 + 589*k**2. -9*k**2
Collect the terms in -7290*t**2 - 24*t**3 + 7290*t**2. -24*t**3
Collect the terms in -6229052 - 14773*k + 14751*k + 6229054. 2 - 22*k
train/polynomials__compose
Let p(s) = -4*s. Let m be (-1 + 5)*(2 + 0). Let c(k) = 10 - k. Let i be c(m).
Let f(w) = 70 - i*w**2 - 70. Calculate p(f(y)). 8*y**2
Let z(d) = -9*d**2. Let c(i) = -15*i**2 + 15*i. Let s(u) = -8*u**2 + 9*u. Let
g(o) = 3*c(o) - 5*s(o). Calculate g(z(j)). -405*j**4
Let x(s) = 510*s**2. Let r(m) = 92159*m**2. Give x(r(w)).
4331573453310*w**4
Let n(x) be the first derivative of 578 - 267*x**2. Let o(c) = -c**2. Calculate
n(o(b)). 534*b**2
Let p(y) = -141*y - 4. Let j(a) = 139*a + 5. Let u(w) = -4*j(w) - 5*p(w). Let
c(f) = f. What is u(c(t))? 149*t
Let t(g) = -6*g. Let s(x) = -999670*x. Calculate t(s(y)). 5998020*y
Let t(g) = -78*g**2. Let d(c) = -3141*c. Determine t(d(q)).
-769538718*q**2
Let y(w) = 3*w**2 + 5*w + 5. Let n(b) = -b - 1. Let k(v) = -5*n(v) - y(v). Let
s(z) = z. Determine k(s(x)). -3*x**2
Let i(y) = 67*y**2. Let h(q) = 56 - 64*q. Let u(s) = 2*s**3 + s**2 + 5*s + 3.
Let r be u(-1). Let g(f) = 6 - 7*f. Let m(z) = r*h(z) + 28*g(z). What is
m(i(k))? -268*k**2
Let z(o) be the first derivative of -o**5/40 + 5*o**3/3 - 1. Let r(u) be the
third derivative of z(u). Let w(n) = -n + 5*n + 1 - 1. Calculate w(r(f)).
-12*f
W0116 15:18:39.617058 140704436800320 generate.py:168] Dropped 2 examples
train/polynomials__evaluate
Let w(v) = -15*v - 109. Determine w(-9). 26
Let u(j) = -j**3 - 32*j**2 - 84*j - 34. Give u(-3). -43
Let q(x) = -x**3 - 38*x**2 + 83*x + 49. Calculate q(-40). -71
Let r(c) = -3*c**3 + 5*c**2 - 14*c + 72. Give r(5). -248
Let d(a) = a**3 + 4*a**2 + 3*a - 1. What is d(-3)? -1
Let w(u) = -u**2 - 23*u - 27. Calculate w(-25). -77
Let d(t) = 4 - t. What is d(5)? -1
Let p(b) = -4*b - 3. Determine p(-3). 9
Let d(z) = -37*z**3 - 519*z**2 - 14*z + 4. What is d(-14)? 4
Let x(r) = 55*r - 6075. Determine x(110). -25
train/polynomials__evaluate_composed
Let a(k) = 10 - k**2 - 3 + 2*k**2. Give a(0). 7
Let j(r) = -r**3 - 5*r**2 + 5. Let u(g) = -4*g**2 + 8 + g**3 - g - 2 - 7. Let m
be u(4). Give j(m). 5
Let a(h) = h**3 + 6*h**2 - 6*h. Suppose -2*d - 35 = 3*d. What is a(d)?
-7
Let b(v) = 6 - 10*v. Let w(p) = 6 + 40 - 7*p - 40. Let s(q) = -2*b(q) + 3*w(q).
Give s(-6). 12
Let a(s) = 36 - s + 2*s - 120 + 37 + 35. Calculate a(15). 3
Let a(l) be the first derivative of -l**3/3 - 23*l**2/2 + 11*l + 673. Determine
a(-23). 11
Suppose 4*q + 3*d = -1, 3 = -d - 0. Let h(g) = -7*g**q + g + g - 2*g. Let v be
5/7 - (-2)/7. Determine h(v). -7
Suppose 3*r - 3*l = -30, -2*r + 7*l - 6*l - 16 = 0. Let c(z) = z**3 + 14*z**2 +
51*z + 11. Calculate c(r). -7
Let z(i) be the first derivative of i**5/40 + i**4/3 + 9*i**3 - i + 147. Let
f(j) be the third derivative of z(j). Give f(-7). -13
Let w(t) = -t**3 - 6*t**2 + 6. Let s be ((-15)/(-10)*-2)/(-1). Let h(v) = v**3
+ 6*v**2 + v - 6. Let i(g) = s*h(g) + 2*w(g). Calculate i(-5). 4
train/polynomials__expand
Expand (-32*j**2 + 393*j - 393*j)*(2*j**2 - 4 + 4). -64*j**4
Expand (2*u - 2*u + 2*u**2)*(-6*u**3 + 11*u - 11*u). -12*u**5
Expand (-5*q + 2 - 2)*(6 - 4 - 1)*(4 + 6 + 4). -70*q
Expand (176 - 176 + 40*s)*(-16*s + 14 - 14) + 3 - 3 + s**2 - 8*s**2 - 3 + 3 +
s**2 + 3*s**2 - 3*s**2 + (2*s**2 - 4*s**2 + 0*s**2)*(-1 + 2 + 1).
-650*s**2
Expand 0*c + 3*c**3 + 0*c + (-c + 2 - 2)*(-4*c + 12*c - 37*c)*(0*c + 2*c +
0*c)*(-4 - 5 + 2) + (0*c**2 + 3*c**2 - 2*c**2)*(c - 3*c + 3*c).
-402*c**3
Expand (-1619*g - 2641640 + 102680*g + 2641640 + 7951*g)*(-2 + 1 - 1).
-218024*g
Expand (2*v + 4 - 4)*(8 - 14 - 29)*((0 - 2 + 3)*(1 + 0 - 3) - 3 - 1 - 2).
560*v
Expand (q + 3*q + 0*q)*(30 - 28 + 40). 168*q
Expand 3*b - 3*b + b**5 + (-4*b**2 + 5*b**2 - 2*b**2)*(b**3 + 2*b**3 - 6*b**3).
4*b**5
Expand (-q + q + 2*q**4)*(-52 + 25 + 5261*q + 21 + 6). 10522*q**5
train/polynomials__simplify_power
Simplify ((k/k**0)/(k**(1/3)/k))/(k/(k*(k/((k*k**(-3/11)/k)/k))/k))**(-13/2)
assuming k is positive. k**(-218/33)
Simplify (((m*((m**9/m)/m)/m*m*m)/m*m*m*m)/m**10)**(6/37) assuming m is
positive. m**(6/37)
Simplify (o**16*o**(-5/9)*o*o)/(o**(-6))**(-6/5) assuming o is positive.
o**(461/45)
Simplify (a**19)**(4/3)*(a*a/(a*a/((a**(-2/45)/a)/a)*a))/(a/a**(-25)) assuming
a is positive. a**(-167/45)
Simplify (v*v**3*v**(-2/25))/(v**(-2/15))**(2/45) assuming v is positive.
v**(106/27)
Simplify w**(-28)/(w/(w*w**(-26))*w)*(w**(-26/9))**(-8/19) assuming w is
positive. w**(-9197/171)
Simplify ((g*g*g**1*g*g)**0/(g**(-2/5)/g)**(2/25))/((g*((g*g**(-
3)*g)/g)/g)/(g**(3/8)*g)*(g**(2/5))**4) assuming g is positive.
g**(1887/1000)
Simplify g*g/(g*g**1)*g*g**6*(g*(g*g**3)/g)/g*g*g/((g*g**(-
1/2)/g*g*g)/g)*((g/g**(-1))/g)**(-35)/(g**1*g)**(4/9) assuming g is positive.
g**(-439/18)
Simplify (c**32*c**(-3)*c)**(2/19) assuming c is positive. c**(60/19)
Simplify (((n*n**1)/n**(1/7))**(3/25))**(-2/3) assuming n is positive.
n**(-26/175)
W0116 15:18:39.985144 140704436800320 generate.py:168] Dropped 1 examples
train/probability__swr_p_level_set
Calculate prob of picking 1 n and 2 y when three letters picked without
replacement from {n: 6, y: 9, k: 1, c: 1}. 27/85
Four letters picked without replacement from {z: 1, f: 1, w: 2, h: 5, c: 3}.
Give prob of picking 4 h. 1/99
What is prob of picking 1 m and 2 l when three letters picked without
replacement from llmmhhhhmllhlllhm? 21/170
Three letters picked without replacement from ffxxxffxvfu. What is prob of
picking 3 f? 2/33
Four letters picked without replacement from {a: 4, x: 1, u: 2, g: 2, z: 2, s:
1}. Give prob of picking 2 z and 2 a. 2/165
Four letters picked without replacement from {l: 1, w: 2, m: 1, y: 3}. What is
prob of picking 1 y, 2 w and 1 m? 3/35
Two letters picked without replacement from jvvvvjvvvvvvv. Give prob of picking
1 j and 1 v. 11/39
Two letters picked without replacement from ijifiiiijijiij. Give prob of
picking 1 f and 1 i. 9/91
Three letters picked without replacement from esowokks. Give prob of picking 1
s and 2 k. 1/28
What is prob of picking 1 s and 1 d when two letters picked without replacement
from {a: 4, d: 2, s: 4, y: 2}? 4/33
train/probability__swr_p_sequence
Calculate prob of sequence csrr when four letters picked without replacement
from {r: 4, v: 1, s: 10, c: 1, w: 2}. 1/612
Calculate prob of sequence wywy when four letters picked without replacement
from {j: 2, y: 3, w: 3}. 3/140
What is prob of sequence jmkc when four letters picked without replacement from
{m: 2, j: 2, k: 2, r: 2, z: 5, c: 1}? 1/3003
What is prob of sequence gd when two letters picked without replacement from
ddxxdddggdd? 7/55
What is prob of sequence je when two letters picked without replacement from
gjjgcgjjggljgggregjj? 7/380
Three letters picked without replacement from {r: 7, w: 3, p: 2, x: 1, l: 1}.
What is prob of sequence rlp? 1/156
Two letters picked without replacement from {f: 2, i: 9, r: 8}. Give prob of
sequence ii. 4/19
Three letters picked without replacement from mxxmxymmaa. Give prob of sequence
axx. 1/60
What is prob of sequence ggx when three letters picked without replacement from
kxgzgggggxgkzhg? 8/195
Four letters picked without replacement from {r: 2, i: 3, j: 1, g: 2, q: 4}.
What is prob of sequence qjii? 1/495
interpolate/algebra__linear_1d
Solve 6669*l - 1424 = 6758*l for l. -16
Solve 21*s = -243*s - 1848 for s. -7
Solve 2046*l - 116272 = 4750*l for l. -43
Solve 0 = -930*i + 1094*i - 1312 for i. 8
Solve 257*d - 97*d = 101*d - 718 - 1406 for d. -36
Solve -789*d + 955 + 354 = -4214 for d. 7
Solve 471*b = 21426 + 240 for b. 46
Solve 0 = -1186*w + 5341 - 4201 - 28418 for w. -23
Solve 101 + 13 = 16*k - 158 for k. 17
Solve 40*l + 171 = -4*l - 22*l + 9*l for l. -3
interpolate/algebra__linear_1d_composed
Let w(j) = 10 - 9*j. Let r(o) = 3*o - 3. Let u(y) = -8*r(y) - 3*w(y). Let s be
u(7). Solve 3*m = -2*m + s for m. 3
Let h = -1156 + 1172. Solve 3*r + r = h for r. 4
Let x be (-93)/(-6) - 30/(-60). Solve -40 - x = -14*u for u. 4
Let t be 44 - (9 - 0 - 3). Solve 43*j + 5 = t*j for j. -1
Suppose h + w + 4*w - 18 = 0, -3*h - 4*w = -21. Let r be 22/(-33) + 17/h.
Suppose -4*d + 20 = r*s, d + 5*s - 3*s - 8 = 0. Solve 3 + d = -z for z.
-3
Let h = 10 - 13. Let l(c) = c + 9. Let g be l(h). Suppose 0 = 2*u + u - g.
Solve -u*q + 10 = -4*q for q. -5
Suppose -m = -3*n - 132, -33*m - 252 = -35*m + 3*n. Solve m*d = 125*d + 20 for
d. -4
Let s = 159 - 171. Let g be (50/(-30))/(10/s). Solve 7*f = g*f + 15 for f.
3
Suppose 119*l - 2438 = 13*l. Let n(r) = 1 - 2*r. Let x be n(-1). Solve x*q = 8
- l for q. -5
Let t(r) = -r**2 + 8*r - 7. Let v be t(6). Suppose -5*g - 2*q = -4*q + v, 0 = g
- 2*q + 9. Suppose 2*k - 47*k = -135. Solve -g = k*s - 4*s for s. 1
interpolate/algebra__linear_2d
Solve p + 4*p = 554*q - 557*q + p + 43, 0 = 4*p + 20 for q. 21
Solve -5*h = -3069*q + 3084*q + 95, 4*h - q = 2 for h. -1
Solve -39*f + 87*f = 47*f + 4*p + 17, 59 = 4*f - 13*p for f. 5
Solve -14*k - 22*k = -m + 13, 197*m - 52 = 193*m + 4*k for m. 13
Solve -5*r = 4*a - 3, 74858*r = -2*a + 74855*r - 1 for a. 7
Solve -5*m - 5*d = -10, 2*d - 3387 = -19*m - 3315 for m. 4
Solve -4*k = q - 5, 3 = -5*q - 22414*k + 22422*k for q. 1
Solve -3*w = 35*n - 37*n - 73, 3*w + n - 58 = -0*n for w. 21
Solve -14*w = -3*d - 39, 5*w + 6 - 20 = -9000*d + 9001*d for w. 3
Solve -2*w + 6*w = 3*m + 1, m - 3631*w + 11 = -3619*w for m. 1
interpolate/algebra__linear_2d_composed
Let a(y) = 1 - y - 1 - 4*y + 2*y**3. Let p be a(2). Suppose 4*o = 46 - p. Solve
-2*u - 2 = -j - 0*j, 5*j - o = 3*u for u. 0
Let v = -157 - -181. Suppose 183*p - v = 177*p. Solve 2*z - 13 = c, 0 = 5*z -
2*c - 27 - p for z. 5
Suppose 4*l - 27 - 1 = 0. Let v = 4112 - 4108. Solve 0*d - 3*d + l = -4*r, -5*d
- 31 = v*r for r. -4
Suppose -1053 = -12*b - 1017. Solve 0 = -4*i - b*h + 21 - 3, -4*i + 22 = 5*h
for i. 3
Let m be 5 - (-8)/((-80)/54) - (-274)/10. Solve 4*i + m = -3*c, -5*i + 6*c -
3*c = 0 for i. -3
Let o be (-54)/(-3)*6/9. Let y be 25/9 - o/(-54). Let l = 3 + 1. Solve 2*r =
-2, l = a - 4*r + y for a. -3
Let c(o) = 5*o - 80. Let i be c(18). Suppose h - 8 = -h, -5*h = -j - i. Solve
-4*u + 2*u - 5*p = -j, 5*u + 2 = p for u. 0
Let b be (1 - (-4)/(-6))*-3. Let k = b - -4. Let z = -5729 - -5734. Solve -n -
9 = -0*n - z*j, 4*n + 13 = -k*j for n. -4
Suppose -4*g + 20 = -0*g. Let x be 72/120 - (7/(-5) + -2). Solve g*r - 4*c - 15
= -c, 20 = 5*r - x*c for r. 0
Suppose 3*b = 13*b - 1700. Let t = 178 - b. Solve -4*m - 9 = -5*a, -3*a - 1 =
-4*m - t for a. 1
interpolate/algebra__polynomial_roots
Find b such that -3*b**3/5 - 2703*b**2/5 + 118947*b/5 + 121647/5 = 0.
-943, -1, 43
What is l in -l**4 - 2521*l**3 - 1585068*l**2 + 4788028*l + 6370576 = 0?
-1262, -1, 4
Determine h so that -4*h**2/5 - 9764*h + 3634584/5 = 0. -12279, 74
Factor 5*b**2 - 915*b - 920. 5*(b - 184)*(b + 1)
Let -t**4 + 997565*t**3 = 0. Calculate t. 0, 997565
Factor -3*f**2/2 - 1196154*f + 2392311/2. -3*(f - 1)*(f + 797437)/2
Suppose l**2 - 291833*l + 291832 = 0. What is l? 1, 291832
Factor 402*f**3 - 2082363*f**2 + 2696671740*f - 20124300. 3*(f -
2590)**2*(134*f - 1)
Find i, given that 3*i**2 + 237171*i + 474330 = 0. -79055, -2
Find g such that 2*g**3 + 2980*g**2 + 20762*g = 0. -1483, -7, 0
W0116 15:18:40.912555 140704436800320 generate.py:168] Dropped 5 examples
interpolate/algebra__polynomial_roots_composed
Let b(l) = -8*l**2 - 536*l + 416. Let o(x) = 7*x**2 + 504*x - 415. Let f(j) =
3*b(j) + 4*o(j). Let f(a) = 0. Calculate a. -103, 1
Solve 709*b + 23 - 46*b + 129*b + 15479*b**4 + 17 - 5124*b**3 - 14597*b**4 +
3410*b**2 = 0 for b. -2/21, 1, 5
Let y = 19678 - 19675. Factor f**4 + 1/5*f**2 + 2/5*f - 8/5*f**y + 0.
f*(f - 1)**2*(5*f + 2)/5
Suppose -3*d = -20 + 8. Suppose 10*l = 11*l - d. Factor 4*o**l - 3*o + 4*o -
12*o**2 - 9*o. 4*o*(o - 2)*(o + 1)**2
Factor -21/4*x**4 + 0*x**2 - 6*x**3 + 0*x + 3/4*x**5 + 0. 3*x**3*(x -
8)*(x + 1)/4
Determine k so that 22/7 + 2/7*k**2 + 24/7*k = 0. -11, -1
Suppose 0 = -448*w + 450*w - 18. Find z, given that -18*z**2 - 25*z**4 -
12*z**3 + 96*z + 22*z**4 + 96 - w*z**3 = 0. -4, -1, 2
What is t in -3*t**3 - 492*t - 286 + 213 - 171*t**2 - 251 = 0? -54, -2,
-1
Let u(o) = -o**3 + 23*o**2 - 59*o - 11. Let c be u(20). Suppose c*l = 7*l + 6.
Let 0*i + 5/2*i**5 - 15/2*i**2 - 5/2*i**l + 15/2*i**4 + 0 = 0. What is i?
-3, -1, 0, 1
Let o(k) be the second derivative of k**6/15 + 77*k**5/8 + 4*k**4 - 1178*k + 2.
Factor o(d). d**2*(d + 96)*(4*d + 1)/2
W0116 15:18:41.212935 140704436800320 generate.py:168] Dropped 5 examples
interpolate/algebra__sequence_next_term
What is next in -35140, -69692, -104244, -138796, -173348? -207900
What is next in -977, -533, 209, 1255, 2611, 4283, 6277, 8599? 11255
What is the next term in -3904003, -3904002, -3904001, -3904000, -3903999,