question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1 value |
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b'Let z(u) = -u + 5. Let b be 9/(-2) + 1/(-2). Let q be z(b). Let x = 102 + -100. Solve x*s - o = -1, -3*s - o + q = -8*s for s.\n' | b'-3\n' | b'Let z(u) = -u + 5. Let b be 9/(-2) + 1/(-2). Let q be z(b). Let x = 102 + -100. Solve x*s - o = -1, -3*s - o + q = -8*s for s.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 4, s: 3, c: 11, l: 1}. What is prob of sequence lic?\n' | b'22/2907\n' | b'Three letters picked without replacement from {i: 4, s: 3, c: 11, l: 1}. What is prob of sequence lic?\n' | b'22/2907\n' | deepmind/math_dataset |
b'Let v(d) = -2*d**3 + 4*d**2 + 35*d - 21. Let z be v(5). Solve z*p - 2 = -5*c, 4*p = -c - c - 4 for p.\n' | b'-2\n' | b'Let v(d) = -2*d**3 + 4*d**2 + 35*d - 21. Let z be v(5). Solve z*p - 2 = -5*c, 4*p = -c - c - 4 for p.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence mmmm when four letters picked without replacement from mddddddddmddmdmddm?\n' | b'1/612\n' | b'What is prob of sequence mmmm when four letters picked without replacement from mddddddddmddmdmddm?\n' | b'1/612\n' | deepmind/math_dataset |
b'Let y(z) = z**3 + 52*z**2 - 104*z + 219. Let n be y(-54). Solve -n*o - 12 = -2*l + 3*l, -l - 8 = 2*o for l.\n' | b'0\n' | b'Let y(z) = z**3 + 52*z**2 - 104*z + 219. Let n be y(-54). Solve -n*o - 12 = -2*l + 3*l, -l - 8 = 2*o for l.\n' | b'0\n' | deepmind/math_dataset |
b'Let x be (-1 - 0)/(2/(-10)). Suppose -x*s + 18 = -4*o - 0, -o - 2*s = -2. Let k(q) be the second derivative of q**5/20 + q**4/6 + q**3/6 + q**2 - q. Give k(o).\n' | b'0\n' | b'Let x be (-1 - 0)/(2/(-10)). Suppose -x*s + 18 = -4*o - 0, -o - 2*s = -2. Let k(q) be the second derivative of q**5/20 + q**4/6 + q**3/6 + q**2 - q. Give k(o).\n' | b'0\n' | deepmind/math_dataset |
b'Let l(h) = -44*h**2 - 10*h - 22. Let y(v) = v**2 - 3*v + 1. Let i(g) = l(g) - 4*y(g). Find the second derivative of i(k) wrt k.\n' | b'-96\n' | b'Let l(h) = -44*h**2 - 10*h - 22. Let y(v) = v**2 - 3*v + 1. Let i(g) = l(g) - 4*y(g). Find the second derivative of i(k) wrt k.\n' | b'-96\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ggkgggggggkkkk. What is prob of picking 2 k?\n' | b'10/91\n' | b'Two letters picked without replacement from ggkgggggggkkkk. What is prob of picking 2 k?\n' | b'10/91\n' | deepmind/math_dataset |
b'Simplify (b/b**6)/b**2*(b**(-1))**(-31)*(b/b**3*(b*b/(b**(2/9)/b*b))/b)/(b**(2/3)/b**(1/4)) assuming b is positive.\n' | b'b**(805/36)\n' | b'Simplify (b/b**6)/b**2*(b**(-1))**(-31)*(b/b**3*(b*b/(b**(2/9)/b*b))/b)/(b**(2/3)/b**(1/4)) assuming b is positive.\n' | b'b**(805/36)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p when two letters picked without replacement from {g: 1, t: 4, p: 7, n: 1}.\n' | b'7/26\n' | b'Calculate prob of picking 2 p when two letters picked without replacement from {g: 1, t: 4, p: 7, n: 1}.\n' | b'7/26\n' | deepmind/math_dataset |
b'Let y(r) be the first derivative of 57 + 5/2*r**2 + 3*r - 29/3*r**3. What is the second derivative of y(g) wrt g?\n' | b'-58\n' | b'Let y(r) be the first derivative of 57 + 5/2*r**2 + 3*r - 29/3*r**3. What is the second derivative of y(g) wrt g?\n' | b'-58\n' | deepmind/math_dataset |
b'Calculate prob of sequence viv when three letters picked without replacement from ivffv.\n' | b'1/30\n' | b'Calculate prob of sequence viv when three letters picked without replacement from ivffv.\n' | b'1/30\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xkfxppxpxpr. What is prob of picking 1 r, 1 p, and 1 k?\n' | b'4/165\n' | b'Three letters picked without replacement from xkfxppxpxpr. What is prob of picking 1 r, 1 p, and 1 k?\n' | b'4/165\n' | deepmind/math_dataset |
b'Let w(n) = -4*n**2 + n - 7. Let g(l) = -l**2 - 1. Let o(x) = -6*g(x) + w(x). Let i be (-1)/(4/(-6))*4/6. What is o(i)?\n' | b'2\n' | b'Let w(n) = -4*n**2 + n - 7. Let g(l) = -l**2 - 1. Let o(x) = -6*g(x) + w(x). Let i be (-1)/(4/(-6))*4/6. What is o(i)?\n' | b'2\n' | deepmind/math_dataset |
b'Let b(y) = 0 - 3 + 4 + 0 - 6*y**2. Give b(-1).\n' | b'-5\n' | b'Let b(y) = 0 - 3 + 4 + 0 - 6*y**2. Give b(-1).\n' | b'-5\n' | deepmind/math_dataset |
b'Let o(j) be the second derivative of 1/42*j**7 + 0*j**6 - 1 - 1/2*j**3 + 50*j - 3/10*j**5 + 0*j**4 - 3*j**2. What is the second derivative of o(h) wrt h?\n' | b'20*h**3 - 36*h\n' | b'Let o(j) be the second derivative of 1/42*j**7 + 0*j**6 - 1 - 1/2*j**3 + 50*j - 3/10*j**5 + 0*j**4 - 3*j**2. What is the second derivative of o(h) wrt h?\n' | b'20*h**3 - 36*h\n' | deepmind/math_dataset |
b'Suppose -17*k - 320 = -37*k. Solve -3*n + 18 = 4*v, 2*n = -2*v - 2*v + k for n.\n' | b'2\n' | b'Suppose -17*k - 320 = -37*k. Solve -3*n + 18 = 4*v, 2*n = -2*v - 2*v + k for n.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iiniiiiiiiini. Give prob of sequence ni.\n' | b'11/78\n' | b'Two letters picked without replacement from iiniiiiiiiini. Give prob of sequence ni.\n' | b'11/78\n' | deepmind/math_dataset |
b'What is prob of picking 3 z when three letters picked without replacement from zzzyzjzjjjzzzjj?\n' | b'8/65\n' | b'What is prob of picking 3 z when three letters picked without replacement from zzzyzjzjjjzzzjj?\n' | b'8/65\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {c: 7, d: 5, t: 2}. Give prob of picking 1 d and 2 c.\n' | b'15/52\n' | b'Three letters picked without replacement from {c: 7, d: 5, t: 2}. Give prob of picking 1 d and 2 c.\n' | b'15/52\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o and 1 a when two letters picked without replacement from nbbbbaaabiobfaf.\n' | b'4/105\n' | b'Calculate prob of picking 1 o and 1 a when two letters picked without replacement from nbbbbaaabiobfaf.\n' | b'4/105\n' | deepmind/math_dataset |
b'Suppose -4*q + 4 = -4. Solve -2*k - 5*x + 23 = -3*k, 5 = k + q*x for k.\n' | b'-3\n' | b'Suppose -4*q + 4 = -4. Solve -2*k - 5*x + 23 = -3*k, 5 = k + q*x for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Let c(r) = r - 1. Let q = 330 - 323. Calculate c(q).\n' | b'6\n' | b'Let c(r) = r - 1. Let q = 330 - 323. Calculate c(q).\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from msppziu. What is prob of sequence zm?\n' | b'1/42\n' | b'Two letters picked without replacement from msppziu. What is prob of sequence zm?\n' | b'1/42\n' | deepmind/math_dataset |
b'Simplify ((d/(d**(-8)*d))/(d*d**(3/10)))/((d/d**(-6/13))/d*d*d*d*d**(-7/4)) assuming d is positive.\n' | b'd**(1297/260)\n' | b'Simplify ((d/(d**(-8)*d))/(d*d**(3/10)))/((d/d**(-6/13))/d*d*d*d*d**(-7/4)) assuming d is positive.\n' | b'd**(1297/260)\n' | deepmind/math_dataset |
b'Suppose 0 = 3*v - 12 - 0. Solve -4*y = 3*l - 29, v*y = -3*l + 2*y + 19 for l.\n' | b'3\n' | b'Suppose 0 = 3*v - 12 - 0. Solve -4*y = 3*l - 29, v*y = -3*l + 2*y + 19 for l.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from dcduccdccdu. Give prob of picking 1 d and 3 c.\n' | b'4/33\n' | b'Four letters picked without replacement from dcduccdccdu. Give prob of picking 1 d and 3 c.\n' | b'4/33\n' | deepmind/math_dataset |
b'Suppose 5*n + v - 29 + 17 = 0, n - 9 = 2*v. Suppose -6*w + n*w = 2*f - 37, 2*f = -8. Solve g - 2*a - 3*a + w = 0, -12 = -4*g + 2*a for g.\n' | b'5\n' | b'Suppose 5*n + v - 29 + 17 = 0, n - 9 = 2*v. Suppose -6*w + n*w = 2*f - 37, 2*f = -8. Solve g - 2*a - 3*a + w = 0, -12 = -4*g + 2*a for g.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -3*a - 4*p - 4 = 1, -4*a + 3*p = 15. Let u = 7 + a. Solve 0 = -4*f - 4, -u*l + f = 3*f - 14 for l.\n' | b'4\n' | b'Suppose -3*a - 4*p - 4 = 1, -4*a + 3*p = 15. Let u = 7 + a. Solve 0 = -4*f - 4, -u*l + f = 3*f - 14 for l.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from iyver. Give prob of sequence iev.\n' | b'1/60\n' | b'Three letters picked without replacement from iyver. Give prob of sequence iev.\n' | b'1/60\n' | deepmind/math_dataset |
b'Let b(a) = -a + 2*a - 2*a + 3 - 2. Let p be b(1). Suppose z - 7 = -p*z. Solve 5*j = -3*n + 17, -4*j = -5*n - z*j + 7 for n.\n' | b'-1\n' | b'Let b(a) = -a + 2*a - 2*a + 3 - 2. Let p be b(1). Suppose z - 7 = -p*z. Solve 5*j = -3*n + 17, -4*j = -5*n - z*j + 7 for n.\n' | b'-1\n' | deepmind/math_dataset |
b'Let l(s) be the first derivative of 3*s**2 - s + 11. Let g(f) = -f**3 + 19*f**2 - 91*f + 5. Let t be g(10). What is l(t)?\n' | b'-31\n' | b'Let l(s) be the first derivative of 3*s**2 - s + 11. Let g(f) = -f**3 + 19*f**2 - 91*f + 5. Let t be g(10). What is l(t)?\n' | b'-31\n' | deepmind/math_dataset |
b'Let t = -20 - -13. Let j(d) = d. Give j(t).\n' | b'-7\n' | b'Let t = -20 - -13. Let j(d) = d. Give j(t).\n' | b'-7\n' | deepmind/math_dataset |
b'Let g(i) = 3*i**2 + 35*i - 1. Let u = -1 + -5. Let k(x) = x**2 + 12*x. Let j(n) = u*g(n) + 17*k(n). Give j(-6).\n' | b'6\n' | b'Let g(i) = 3*i**2 + 35*i - 1. Let u = -1 + -5. Let k(x) = x**2 + 12*x. Let j(n) = u*g(n) + 17*k(n). Give j(-6).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((u*u*u*u/(u*u**(-3/2)*u*u)*u)/u**(2/7)*(u**(-1/2))**(-1/12))/((u**(1/8)*u**(2/9)*u)/((u*u**0*u*u)/(u/u**(-2/7)))) assuming u is positive.\n' | b'u**(913/252)\n' | b'Simplify ((u*u*u*u/(u*u**(-3/2)*u*u)*u)/u**(2/7)*(u**(-1/2))**(-1/12))/((u**(1/8)*u**(2/9)*u)/((u*u**0*u*u)/(u/u**(-2/7)))) assuming u is positive.\n' | b'u**(913/252)\n' | deepmind/math_dataset |
b'Find the second derivative of -247*v + 551*v - 65*v**5 - 203*v**5 wrt v.\n' | b'-5360*v**3\n' | b'Find the second derivative of -247*v + 551*v - 65*v**5 - 203*v**5 wrt v.\n' | b'-5360*v**3\n' | deepmind/math_dataset |
b'Suppose m - 165 = -5*u, 2*m = -u + 3*u - 66. Let z be (-11)/u - (-2)/((-12)/(-14)). Solve f - 5*w = 5, z*f + 0*w = w + 10 for f.\n' | b'5\n' | b'Suppose m - 165 = -5*u, 2*m = -u + 3*u - 66. Let z be (-11)/u - (-2)/((-12)/(-14)). Solve f - 5*w = 5, z*f + 0*w = w + 10 for f.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 3, a: 1, d: 2, y: 7, z: 6}. What is prob of sequence bbya?\n' | b'7/15504\n' | b'Four letters picked without replacement from {b: 3, a: 1, d: 2, y: 7, z: 6}. What is prob of sequence bbya?\n' | b'7/15504\n' | deepmind/math_dataset |
b'Let h = 9 - 4. Let s be 2/((-30)/(-9))*h. Suppose s*y = -4*p + 19, -y = -2*p - 0*p + 7. Solve -l + 4*v = -1, 4*v + p = -4*l + 8 for l.\n' | b'1\n' | b'Let h = 9 - 4. Let s be 2/((-30)/(-9))*h. Suppose s*y = -4*p + 19, -y = -2*p - 0*p + 7. Solve -l + 4*v = -1, 4*v + p = -4*l + 8 for l.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 4 k when four letters picked without replacement from ttktttttktkkk?\n' | b'1/143\n' | b'What is prob of picking 4 k when four letters picked without replacement from ttktttttktkkk?\n' | b'1/143\n' | deepmind/math_dataset |
b'Four letters picked without replacement from twstbls. Give prob of sequence lwtt.\n' | b'1/420\n' | b'Four letters picked without replacement from twstbls. Give prob of sequence lwtt.\n' | b'1/420\n' | deepmind/math_dataset |
b'What is prob of sequence kzii when four letters picked without replacement from kiiz?\n' | b'1/12\n' | b'What is prob of sequence kzii when four letters picked without replacement from kiiz?\n' | b'1/12\n' | deepmind/math_dataset |
b'Let j = 72 - 68. Suppose -5*r - w = j*w + 240, -183 = 4*r - 5*w. Let a be 3/(-14)*-4*(-658)/r. Solve -3*q + 0*l - a = -l, -3 = -l for q.\n' | b'-3\n' | b'Let j = 72 - 68. Suppose -5*r - w = j*w + 240, -183 = 4*r - 5*w. Let a be 3/(-14)*-4*(-658)/r. Solve -3*q + 0*l - a = -l, -3 = -l for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Let c be (-5)/5 + 1 + 1. Let q be (-2 + 6)*(c - 0). Solve 31 = -5*p - 5*w - 9, -q*p - 3*w = 28 for p.\n' | b'-4\n' | b'Let c be (-5)/5 + 1 + 1. Let q be (-2 + 6)*(c - 0). Solve 31 = -5*p - 5*w - 9, -q*p - 3*w = 28 for p.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 x when four letters picked without replacement from exhhhehlxxrlexxrhrr.\n' | b'5/3876\n' | b'Calculate prob of picking 4 x when four letters picked without replacement from exhhhehlxxrlexxrhrr.\n' | b'5/3876\n' | deepmind/math_dataset |
b'Simplify (((w**(-1/2)*w)/w*w)**19)**(-2/3) assuming w is positive.\n' | b'w**(-19/3)\n' | b'Simplify (((w**(-1/2)*w)/w*w)**19)**(-2/3) assuming w is positive.\n' | b'w**(-19/3)\n' | deepmind/math_dataset |
b'Let p(z) = 2*z**3 - z**2 - 2*z - 1. Let u(o) = 659*o**3 + 17*o**2 - 8*o - 8. Let n(b) = 4*p(b) - u(b). Find the third derivative of n(i) wrt i.\n' | b'-3906\n' | b'Let p(z) = 2*z**3 - z**2 - 2*z - 1. Let u(o) = 659*o**3 + 17*o**2 - 8*o - 8. Let n(b) = 4*p(b) - u(b). Find the third derivative of n(i) wrt i.\n' | b'-3906\n' | deepmind/math_dataset |
b'Let r(a) be the second derivative of 7*a**3/6 + a**2/2 + 10*a. Calculate r(1).\n' | b'8\n' | b'Let r(a) be the second derivative of 7*a**3/6 + a**2/2 + 10*a. Calculate r(1).\n' | b'8\n' | deepmind/math_dataset |
b'Let k(w) = w**3 - 6*w**2 + 6*w - 4. Suppose x = 6*x - 4*f - 10, 0 = -5*x + 2*f + 10. Suppose -6 = -3*v, -x*n + 3*v = -4*n + 14. Determine k(n).\n' | b'-12\n' | b'Let k(w) = w**3 - 6*w**2 + 6*w - 4. Suppose x = 6*x - 4*f - 10, 0 = -5*x + 2*f + 10. Suppose -6 = -3*v, -x*n + 3*v = -4*n + 14. Determine k(n).\n' | b'-12\n' | deepmind/math_dataset |
b'Simplify (d**6/((d/d**(-1/17)*d)/d))**16/((d**(2/9)/(d**1*d))/((d*d*d**(-1/6))/((d**(-2)/d)/d))) assuming d is positive.\n' | b'd**(26521/306)\n' | b'Simplify (d**6/((d/d**(-1/17)*d)/d))**16/((d**(2/9)/(d**1*d))/((d*d*d**(-1/6))/((d**(-2)/d)/d))) assuming d is positive.\n' | b'd**(26521/306)\n' | deepmind/math_dataset |
b'Let v = -7 + -1. Suppose -5*f + 9*f + 8 = 0. Let h be v/f*(-2)/(-4). Solve -4*n - h*w - w - 11 = 0, 4*n - 4*w - 24 = 0 for n.\n' | b'1\n' | b'Let v = -7 + -1. Suppose -5*f + 9*f + 8 = 0. Let h be v/f*(-2)/(-4). Solve -4*n - h*w - w - 11 = 0, 4*n - 4*w - 24 = 0 for n.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p and 1 w when two letters picked without replacement from pwpwupuppwwwpwu.\n' | b'12/35\n' | b'Calculate prob of picking 1 p and 1 w when two letters picked without replacement from pwpwupuppwwwpwu.\n' | b'12/35\n' | deepmind/math_dataset |
b'Suppose -p + 251*d + 88 = 249*d, 4*d = -p + 70. Solve 5 = 3*g - 2*b, -3 = p*g - 83*g + b for g.\n' | b'-1\n' | b'Suppose -p + 251*d + 88 = 249*d, 4*d = -p + 70. Solve 5 = 3*g - 2*b, -3 = p*g - 83*g + b for g.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 2 z when three letters picked without replacement from ssszzz?\n' | b'9/20\n' | b'What is prob of picking 1 s and 2 z when three letters picked without replacement from ssszzz?\n' | b'9/20\n' | deepmind/math_dataset |
b'Calculate prob of sequence iv when two letters picked without replacement from {i: 1, v: 17}.\n' | b'1/18\n' | b'Calculate prob of sequence iv when two letters picked without replacement from {i: 1, v: 17}.\n' | b'1/18\n' | deepmind/math_dataset |
b'Suppose 8*h - 10*h + 35 = -5*x, -2*x - 15 = -h. Solve -3*z + 37 = -h*b - 0*z, -4*z - 4 = 4*b for b.\n' | b'-5\n' | b'Suppose 8*h - 10*h + 35 = -5*x, -2*x - 15 = -h. Solve -3*z + 37 = -h*b - 0*z, -4*z - 4 = 4*b for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Let c(h) be the third derivative of -29*h**6/120 - 9*h**5/20 + h**4/12 + 67*h**2. What is the third derivative of c(j) wrt j?\n' | b'-174\n' | b'Let c(h) be the third derivative of -29*h**6/120 - 9*h**5/20 + h**4/12 + 67*h**2. What is the third derivative of c(j) wrt j?\n' | b'-174\n' | deepmind/math_dataset |
b'Let h(v) be the third derivative of 7*v**2 + 1/20*v**6 + 0 + 0*v**5 + 0*v**4 - 1/3*v**3 + 0*v. What is the first derivative of h(j) wrt j?\n' | b'18*j**2\n' | b'Let h(v) be the third derivative of 7*v**2 + 1/20*v**6 + 0 + 0*v**5 + 0*v**4 - 1/3*v**3 + 0*v. What is the first derivative of h(j) wrt j?\n' | b'18*j**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 9}. What is prob of sequence aaaa?\n' | b'1\n' | b'Four letters picked without replacement from {a: 9}. What is prob of sequence aaaa?\n' | b'1\n' | deepmind/math_dataset |
b'Let y(i) = 3*i**2 + i. Let p be y(1). Suppose -3*j = 7*f - 2*f - 11, 2*j - 4*f = 0. Solve 0 = -x + 4*g + j, 3*x + 2 = p*g for x.\n' | b'-2\n' | b'Let y(i) = 3*i**2 + i. Let p be y(1). Suppose -3*j = 7*f - 2*f - 11, 2*j - 4*f = 0. Solve 0 = -x + 4*g + j, 3*x + 2 = p*g for x.\n' | b'-2\n' | deepmind/math_dataset |
b'Let d(y) = 2*y - 26. Let o(g) = 3*g - 39. Let p(v) = -8*d(v) + 5*o(v). Let z = -1419 - -1428. Determine p(z).\n' | b'4\n' | b'Let d(y) = 2*y - 26. Let o(g) = 3*g - 39. Let p(v) = -8*d(v) + 5*o(v). Let z = -1419 - -1428. Determine p(z).\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 16, j: 4}. What is prob of picking 1 j and 1 t?\n' | b'32/95\n' | b'Two letters picked without replacement from {t: 16, j: 4}. What is prob of picking 1 j and 1 t?\n' | b'32/95\n' | deepmind/math_dataset |
b'Let j(t) be the second derivative of t**7/70 - t**3/3 - t**2 - 3*t. Let u(c) be the first derivative of j(c). Differentiate u(x) with respect to x.\n' | b'12*x**3\n' | b'Let j(t) be the second derivative of t**7/70 - t**3/3 - t**2 - 3*t. Let u(c) be the first derivative of j(c). Differentiate u(x) with respect to x.\n' | b'12*x**3\n' | deepmind/math_dataset |
b'Simplify ((b/(b*b/(b**48/b)))/b**18)/((b**31*b)/(b*(b*b**(1/7))/b*b*b*b)) assuming b is positive.\n' | b'b**(1/7)\n' | b'Simplify ((b/(b*b/(b**48/b)))/b**18)/((b**31*b)/(b*(b*b**(1/7))/b*b*b*b)) assuming b is positive.\n' | b'b**(1/7)\n' | deepmind/math_dataset |
b'Let c = 4 + 0. Suppose 3*s - c*j = 76, -j = 4*s - 0*s - 76. Let q be (-1)/(-4) - (-35)/s. Solve 3*m - 5 = d, 3*m - 2*d = q*m for m.\n' | b'2\n' | b'Let c = 4 + 0. Suppose 3*s - c*j = 76, -j = 4*s - 0*s - 76. Let q be (-1)/(-4) - (-35)/s. Solve 3*m - 5 = d, 3*m - 2*d = q*m for m.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((l/((l/(l*l/(l/(l**(-40)/l))))/l))/l)/l*l**43*(l**(-1/4)/l)**(1/5) assuming l is positive.\n' | b'l**(7/4)\n' | b'Simplify ((l/((l/(l*l/(l/(l**(-40)/l))))/l))/l)/l*l**43*(l**(-1/4)/l)**(1/5) assuming l is positive.\n' | b'l**(7/4)\n' | deepmind/math_dataset |
b'Let z(o) = -o**2 + 8*o. Let p be z(8). Solve 9 = -i - 5*l, -2 = -p*i + 2*i + 2*l for i.\n' | b'1\n' | b'Let z(o) = -o**2 + 8*o. Let p be z(8). Solve 9 = -i - 5*l, -2 = -p*i + 2*i + 2*l for i.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 3*j + 8*w = 6*w + 17, -3*j - w = -13. Suppose 0 = j*g - 0*g - g. Solve 4*q = -4*x + 12, 6 + g = -q + 2*x for q.\n' | b'0\n' | b'Suppose 3*j + 8*w = 6*w + 17, -3*j - w = -13. Suppose 0 = j*g - 0*g - g. Solve 4*q = -4*x + 12, 6 + g = -q + 2*x for q.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 2*y - 2*o - 22 = o, o = 4*y - 64. Suppose q - 24 = y. Let l = q - 21. Solve -d + 3 = -0, 0 = -w + 5*d - l for w.\n' | b'-5\n' | b'Suppose 2*y - 2*o - 22 = o, o = 4*y - 64. Suppose q - 24 = y. Let l = q - 21. Solve -d + 3 = -0, 0 = -w + 5*d - l for w.\n' | b'-5\n' | deepmind/math_dataset |
b'Let j(m) = m**2 + 0 + 14 + m - 13*m. Let i be j(12). Find the third derivative of 14*p**3 - i*p**3 + p**2 - 6*p**5 wrt p.\n' | b'-360*p**2\n' | b'Let j(m) = m**2 + 0 + 14 + m - 13*m. Let i be j(12). Find the third derivative of 14*p**3 - i*p**3 + p**2 - 6*p**5 wrt p.\n' | b'-360*p**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 3, z: 2, j: 1, g: 4, o: 2}. What is prob of sequence ozo?\n' | b'1/330\n' | b'Three letters picked without replacement from {b: 3, z: 2, j: 1, g: 4, o: 2}. What is prob of sequence ozo?\n' | b'1/330\n' | deepmind/math_dataset |
b'Simplify ((x/(x*x**(-3/4))*x**3/x)**(-20))**(5/14) assuming x is positive.\n' | b'x**(-275/14)\n' | b'Simplify ((x/(x*x**(-3/4))*x**3/x)**(-20))**(5/14) assuming x is positive.\n' | b'x**(-275/14)\n' | deepmind/math_dataset |
b'What is prob of picking 2 o and 2 d when four letters picked without replacement from {o: 5, d: 5}?\n' | b'10/21\n' | b'What is prob of picking 2 o and 2 d when four letters picked without replacement from {o: 5, d: 5}?\n' | b'10/21\n' | deepmind/math_dataset |
b'Let p = 113 - 108. Suppose -p = -11*k + 17. Let z = 1 + 1. Solve 0 = 4*t + z*c - 12, 0 = k*c + 3*c + 10 for t.\n' | b'4\n' | b'Let p = 113 - 108. Suppose -p = -11*k + 17. Let z = 1 + 1. Solve 0 = 4*t + z*c - 12, 0 = k*c + 3*c + 10 for t.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -2*k + 5*k + 5*s = -30, 3*s + 29 = -4*k. Let d(h) = h**3 + 7*h**2 + 9*h - 2. Let j be d(k). Let w(i) = -i**3 + 6*i**2 - 7*i - 1. What is w(j)?\n' | b'5\n' | b'Suppose -2*k + 5*k + 5*s = -30, 3*s + 29 = -4*k. Let d(h) = h**3 + 7*h**2 + 9*h - 2. Let j be d(k). Let w(i) = -i**3 + 6*i**2 - 7*i - 1. What is w(j)?\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {c: 4, l: 5, x: 1, j: 1}. What is prob of sequence xjll?\n' | b'1/396\n' | b'Four letters picked without replacement from {c: 4, l: 5, x: 1, j: 1}. What is prob of sequence xjll?\n' | b'1/396\n' | deepmind/math_dataset |
b'Simplify y**1*y**(2/25) assuming y is positive.\n' | b'y**(27/25)\n' | b'Simplify y**1*y**(2/25) assuming y is positive.\n' | b'y**(27/25)\n' | deepmind/math_dataset |
b'What is prob of picking 4 e when four letters picked without replacement from {q: 9, e: 7}?\n' | b'1/52\n' | b'What is prob of picking 4 e when four letters picked without replacement from {q: 9, e: 7}?\n' | b'1/52\n' | deepmind/math_dataset |
b'Simplify (w**(-2/33)*w**(-13))**(1/33)*((w/(w*w**1))**(7/4))**(1/46) assuming w is positive.\n' | b'w**(-86927/200376)\n' | b'Simplify (w**(-2/33)*w**(-13))**(1/33)*((w/(w*w**1))**(7/4))**(1/46) assuming w is positive.\n' | b'w**(-86927/200376)\n' | deepmind/math_dataset |
b'Suppose -16 = -4*a - 4. Let z = a - 1. Suppose 85 = 7*t + 29. Solve t = -f - r, -f + z*r + 0*r = -1 for f.\n' | b'-5\n' | b'Suppose -16 = -4*a - 4. Let z = a - 1. Suppose 85 = 7*t + 29. Solve t = -f - r, -f + z*r + 0*r = -1 for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 4*r + 6 = -2. Let n be (-2)/r - -2 - (-2 + 1). What is the third derivative of -22*m**n - 5*m**2 - 5*m**2 + 15*m**2 + 17*m**2 wrt m?\n' | b'-528*m\n' | b'Suppose 4*r + 6 = -2. Let n be (-2)/r - -2 - (-2 + 1). What is the third derivative of -22*m**n - 5*m**2 - 5*m**2 + 15*m**2 + 17*m**2 wrt m?\n' | b'-528*m\n' | deepmind/math_dataset |
b'Suppose -3*h + 11 + 13 = 0. Let d = -10 + 12. Suppose t - d = 5*x, 3*t = -x - 0*x + 6. Solve -4*u + 4*f - f = -h, f = x for u.\n' | b'2\n' | b'Suppose -3*h + 11 + 13 = 0. Let d = -10 + 12. Suppose t - d = 5*x, 3*t = -x - 0*x + 6. Solve -4*u + 4*f - f = -h, f = x for u.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 1 w and 1 u when two letters picked without replacement from {u: 9, w: 11}?\n' | b'99/190\n' | b'What is prob of picking 1 w and 1 u when two letters picked without replacement from {u: 9, w: 11}?\n' | b'99/190\n' | deepmind/math_dataset |
b'Calculate prob of sequence vv when two letters picked without replacement from {v: 2, s: 3}.\n' | b'1/10\n' | b'Calculate prob of sequence vv when two letters picked without replacement from {v: 2, s: 3}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (h**(1/27))**(2/57) assuming h is positive.\n' | b'h**(2/1539)\n' | b'Simplify (h**(1/27))**(2/57) assuming h is positive.\n' | b'h**(2/1539)\n' | deepmind/math_dataset |
b'Let q(k) = -118*k - 119*k + 7*k**2 - 1 + 352*k - 116*k. Determine q(-1).\n' | b'7\n' | b'Let q(k) = -118*k - 119*k + 7*k**2 - 1 + 352*k - 116*k. Determine q(-1).\n' | b'7\n' | deepmind/math_dataset |
b'Suppose -4*d + d = d. Solve z - 4*g - 15 = d, -2*g = 3*z - 0*g + 11 for z.\n' | b'-1\n' | b'Suppose -4*d + d = d. Solve z - 4*g - 15 = d, -2*g = 3*z - 0*g + 11 for z.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from szyyyyyzzsyzzzy. Give prob of picking 1 s and 3 y.\n' | b'2/39\n' | b'Four letters picked without replacement from szyyyyyzzsyzzzy. Give prob of picking 1 s and 3 y.\n' | b'2/39\n' | deepmind/math_dataset |
b'Calculate prob of sequence xxy when three letters picked without replacement from nxxrxxyir.\n' | b'1/42\n' | b'Calculate prob of sequence xxy when three letters picked without replacement from nxxrxxyir.\n' | b'1/42\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {c: 2, u: 5, g: 6, m: 1, x: 5}. Give prob of sequence ccx.\n' | b'5/2907\n' | b'Three letters picked without replacement from {c: 2, u: 5, g: 6, m: 1, x: 5}. Give prob of sequence ccx.\n' | b'5/2907\n' | deepmind/math_dataset |
b'Differentiate 179 - 4 - 3*i - 89*i**3 + 13*i + 102*i**3 wrt i.\n' | b'39*i**2 + 10\n' | b'Differentiate 179 - 4 - 3*i - 89*i**3 + 13*i + 102*i**3 wrt i.\n' | b'39*i**2 + 10\n' | deepmind/math_dataset |
b'Simplify ((f/f**5)**42)**(2/5) assuming f is positive.\n' | b'f**(-336/5)\n' | b'Simplify ((f/f**5)**42)**(2/5) assuming f is positive.\n' | b'f**(-336/5)\n' | deepmind/math_dataset |
b'Let i = -11 - -29. Suppose -i = -m + 4*q, -2*q = -4*m - 0*q + 30. Suppose -m = -2*s + 4. Solve -5*v - w - 2 = -8, s*w = -20 for v.\n' | b'2\n' | b'Let i = -11 - -29. Suppose -i = -m + 4*q, -2*q = -4*m - 0*q + 30. Suppose -m = -2*s + 4. Solve -5*v - w - 2 = -8, s*w = -20 for v.\n' | b'2\n' | deepmind/math_dataset |
b'Let f = 1 - 1. Let m(x) = 27 - 7*x + 6*x - 16 - x**2. Let j be m(f). Solve -5*i = 0, -4*a + 5*i + j = 3 for a.\n' | b'2\n' | b'Let f = 1 - 1. Let m(x) = 27 - 7*x + 6*x - 16 - x**2. Let j be m(f). Solve -5*i = 0, -4*a + 5*i + j = 3 for a.\n' | b'2\n' | deepmind/math_dataset |
b'Let r(v) = -19*v**3 - 6*v**2 + 8*v**3 + 7 - 2. Let z(i) = -i**3 - i**2 + 1. Let g(o) = r(o) - 5*z(o). What is the third derivative of g(k) wrt k?\n' | b'-36\n' | b'Let r(v) = -19*v**3 - 6*v**2 + 8*v**3 + 7 - 2. Let z(i) = -i**3 - i**2 + 1. Let g(o) = r(o) - 5*z(o). What is the third derivative of g(k) wrt k?\n' | b'-36\n' | deepmind/math_dataset |
b'Simplify (q**(-6/5)*q)/(q/q**3)*(q**(2/7)*q*q)**(7/8) assuming q is positive.\n' | b'q**(19/5)\n' | b'Simplify (q**(-6/5)*q)/(q/q**3)*(q**(2/7)*q*q)**(7/8) assuming q is positive.\n' | b'q**(19/5)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 2 x when three letters picked without replacement from {c: 2, x: 2, e: 4}.\n' | b'1/28\n' | b'Calculate prob of picking 1 c and 2 x when three letters picked without replacement from {c: 2, x: 2, e: 4}.\n' | b'1/28\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ppppplmpppuppusmoppm. Give prob of sequence lp.\n' | b'3/95\n' | b'Two letters picked without replacement from ppppplmpppuppusmoppm. Give prob of sequence lp.\n' | b'3/95\n' | deepmind/math_dataset |
b'Let b(w) be the first derivative of -w**6/120 - w**4/24 + w**3/6 + 2*w**2 - 1. Let m(s) be the second derivative of b(s). What is m(-2)?\n' | b'11\n' | b'Let b(w) be the first derivative of -w**6/120 - w**4/24 + w**3/6 + 2*w**2 - 1. Let m(s) be the second derivative of b(s). What is m(-2)?\n' | b'11\n' | deepmind/math_dataset |
b'Four letters picked without replacement from cllqcslsllsslslss. What is prob of sequence ssls?\n' | b'7/272\n' | b'Four letters picked without replacement from cllqcslsllsslslss. What is prob of sequence ssls?\n' | b'7/272\n' | deepmind/math_dataset |
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