question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Simplify (f*f**(-4/5)*f)/f**6*(f*(f*f**(-2/3)/f)/f*f)**(-8/7) assuming f is positive.\n' | b'f**(-544/105)\n' | b'Simplify (f*f**(-4/5)*f)/f**6*(f*(f*f**(-2/3)/f)/f*f)**(-8/7) assuming f is positive.\n' | b'f**(-544/105)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 2, w: 1, t: 3, n: 1}. Give prob of picking 1 w and 1 t.\n' | b'1/7\n' | b'Two letters picked without replacement from {p: 2, w: 1, t: 3, n: 1}. Give prob of picking 1 w and 1 t.\n' | b'1/7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 2, y: 1}. What is prob of sequence yc?\n' | b'1/3\n' | b'Two letters picked without replacement from {c: 2, y: 1}. What is prob of sequence yc?\n' | b'1/3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 1, r: 2, s: 1, f: 1, x: 1, k: 1}. Give prob of sequence frr.\n' | b'1/105\n' | b'Three letters picked without replacement from {l: 1, r: 2, s: 1, f: 1, x: 1, k: 1}. Give prob of sequence frr.\n' | b'1/105\n' | deepmind/math_dataset |
b'Let k(p) = -p**2 + 9*p + 39. Let l be (-1005)/804 - (-7)/(-12)*3. Determine k(l).\n' | b'3\n' | b'Let k(p) = -p**2 + 9*p + 39. Let l be (-1005)/804 - (-7)/(-12)*3. Determine k(l).\n' | b'3\n' | deepmind/math_dataset |
b'Let r be 15*(0 - (-5)/3). Suppose t - 6*t + r = 0. Find the first derivative of 4 + t - 3 - 3 + f**2 wrt f.\n' | b'2*f\n' | b'Let r be 15*(0 - (-5)/3). Suppose t - 6*t + r = 0. Find the first derivative of 4 + t - 3 - 3 + f**2 wrt f.\n' | b'2*f\n' | deepmind/math_dataset |
b'Let q(x) = 4*x + 6. Let j(c) = -c**2 + 9*c + 12. Let z(s) = 4*j(s) - 9*q(s). Find the first derivative of z(k) wrt k.\n' | b'-8*k\n' | b'Let q(x) = 4*x + 6. Let j(c) = -c**2 + 9*c + 12. Let z(s) = 4*j(s) - 9*q(s). Find the first derivative of z(k) wrt k.\n' | b'-8*k\n' | deepmind/math_dataset |
b'Let s(a) = 3*a - 8*a - 3 + 6*a. Determine s(8).\n' | b'5\n' | b'Let s(a) = 3*a - 8*a - 3 + 6*a. Determine s(8).\n' | b'5\n' | deepmind/math_dataset |
b'Let g(r) = 2*r + 57. Suppose 232*u - 1495 = 297*u. Determine g(u).\n' | b'11\n' | b'Let g(r) = 2*r + 57. Suppose 232*u - 1495 = 297*u. Determine g(u).\n' | b'11\n' | deepmind/math_dataset |
b'Let p = -130 + 134. What is the third derivative of 41*u**2 + 19*u**5 + 2*u**6 - p*u**6 - 25*u**2 wrt u?\n' | b'-240*u**3 + 1140*u**2\n' | b'Let p = -130 + 134. What is the third derivative of 41*u**2 + 19*u**5 + 2*u**6 - p*u**6 - 25*u**2 wrt u?\n' | b'-240*u**3 + 1140*u**2\n' | deepmind/math_dataset |
b'Simplify (d**(2/3))**(6/11)*d**18*d**(3/8) assuming d is positive.\n' | b'd**(1649/88)\n' | b'Simplify (d**(2/3))**(6/11)*d**18*d**(3/8) assuming d is positive.\n' | b'd**(1649/88)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 i and 1 f when three letters picked without replacement from {p: 1, f: 4, i: 6, t: 2}.\n' | b'30/143\n' | b'Calculate prob of picking 2 i and 1 f when three letters picked without replacement from {p: 1, f: 4, i: 6, t: 2}.\n' | b'30/143\n' | deepmind/math_dataset |
b'Suppose 0*o + 12 = -2*o. Let i = o - -10. Solve 9 = 3*c - i*k, 3*k + 3 = 4*c - 2 for c.\n' | b'-1\n' | b'Suppose 0*o + 12 = -2*o. Let i = o - -10. Solve 9 = 3*c - i*k, 3*k + 3 = 4*c - 2 for c.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gligpiplglpppgil. What is prob of sequence il?\n' | b'1/20\n' | b'Two letters picked without replacement from gligpiplglpppgil. What is prob of sequence il?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let t(m) be the second derivative of -m**3/2 - 3*m**2 - m. Suppose -2*n = -6 + 8. Let w = n + -4. Determine t(w).\n' | b'9\n' | b'Let t(m) be the second derivative of -m**3/2 - 3*m**2 - m. Suppose -2*n = -6 + 8. Let w = n + -4. Determine t(w).\n' | b'9\n' | deepmind/math_dataset |
b'Let q be 11/(-4 - -3) - 2. Let k = -7 - q. Solve 2*n - 2*w = -w - 9, 0 = -2*w + k for n.\n' | b'-3\n' | b'Let q be 11/(-4 - -3) - 2. Let k = -7 - q. Solve 2*n - 2*w = -w - 9, 0 = -2*w + k for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (((u/u**(-16))/u**(-2/35))**44)**(-16/7) assuming u is positive.\n' | b'u**(-420288/245)\n' | b'Simplify (((u/u**(-16))/u**(-2/35))**44)**(-16/7) assuming u is positive.\n' | b'u**(-420288/245)\n' | deepmind/math_dataset |
b'Let t(y) be the first derivative of -2*y**4 + 2*y**3 + 89*y**2 + 122. Find the second derivative of t(o) wrt o.\n' | b'-48*o + 12\n' | b'Let t(y) be the first derivative of -2*y**4 + 2*y**3 + 89*y**2 + 122. Find the second derivative of t(o) wrt o.\n' | b'-48*o + 12\n' | deepmind/math_dataset |
b'Find the third derivative of 27*l**2 - 4*l**2 + 13*l**3 + 5*l**2 + 75*l**3 wrt l.\n' | b'528\n' | b'Find the third derivative of 27*l**2 - 4*l**2 + 13*l**3 + 5*l**2 + 75*l**3 wrt l.\n' | b'528\n' | deepmind/math_dataset |
b'Suppose 0 = -155*o + 251 + 59. Let b(a) be the second derivative of 1/2*a**o + 0 + 2/3*a**3 - 1/12*a**4 + 3*a. What is b(3)?\n' | b'4\n' | b'Suppose 0 = -155*o + 251 + 59. Let b(a) be the second derivative of 1/2*a**o + 0 + 2/3*a**3 - 1/12*a**4 + 3*a. What is b(3)?\n' | b'4\n' | deepmind/math_dataset |
b'Let x(o) = 77*o - 5618. Let t be x(73). Solve 4*l + 11 + 12 = t*p, -4*l = -4*p + 28 for l.\n' | b'-2\n' | b'Let x(o) = 77*o - 5618. Let t be x(73). Solve 4*l + 11 + 12 = t*p, -4*l = -4*p + 28 for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Let u(d) = -d**2 + 11*d - 11. Let i be -9 - (-672)/40 - (-3)/15. Determine u(i).\n' | b'13\n' | b'Let u(d) = -d**2 + 11*d - 11. Let i be -9 - (-672)/40 - (-3)/15. Determine u(i).\n' | b'13\n' | deepmind/math_dataset |
b'What is the third derivative of 163*k**2 + 49*k**2 + 21*k**4 - 2 + 1 + 382*k**5 - 21*k**4 wrt k?\n' | b'22920*k**2\n' | b'What is the third derivative of 163*k**2 + 49*k**2 + 21*k**4 - 2 + 1 + 382*k**5 - 21*k**4 wrt k?\n' | b'22920*k**2\n' | deepmind/math_dataset |
b'Let s(w) = -w**3 - 4*w**2 + 7*w - 7. Let i be s(-6). Let d be 0 + -3 + i + -1. Solve -3 = 2*b - f, -d = -3*b - b - 3*f for b.\n' | b'1\n' | b'Let s(w) = -w**3 - 4*w**2 + 7*w - 7. Let i be s(-6). Let d be 0 + -3 + i + -1. Solve -3 = 2*b - f, -d = -3*b - b - 3*f for b.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 4, w: 2}. Give prob of picking 2 m and 1 w.\n' | b'3/5\n' | b'Three letters picked without replacement from {m: 4, w: 2}. Give prob of picking 2 m and 1 w.\n' | b'3/5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v, 1 o, 1 a, and 1 g when four letters picked without replacement from {v: 1, a: 4, g: 3, k: 1, r: 2, o: 1}.\n' | b'4/165\n' | b'Calculate prob of picking 1 v, 1 o, 1 a, and 1 g when four letters picked without replacement from {v: 1, a: 4, g: 3, k: 1, r: 2, o: 1}.\n' | b'4/165\n' | deepmind/math_dataset |
b'Simplify (z**(-1/4)*z**8)**(1/6)/(z**(-1/11)/z**3*(z**(-1/3))**(-49)) assuming z is positive.\n' | b'z**(-3155/264)\n' | b'Simplify (z**(-1/4)*z**8)**(1/6)/(z**(-1/11)/z**3*(z**(-1/3))**(-49)) assuming z is positive.\n' | b'z**(-3155/264)\n' | deepmind/math_dataset |
b'Let a(u) be the first derivative of u**2/2 + 4*u - 82. What is a(3)?\n' | b'7\n' | b'Let a(u) be the first derivative of u**2/2 + 4*u - 82. What is a(3)?\n' | b'7\n' | deepmind/math_dataset |
b'What is prob of picking 2 i and 1 k when three letters picked without replacement from sissiriirisrikrissis?\n' | b'7/285\n' | b'What is prob of picking 2 i and 1 k when three letters picked without replacement from sissiriirisrikrissis?\n' | b'7/285\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 1, b: 1, l: 1, g: 1, e: 1}. What is prob of picking 1 g and 1 b?\n' | b'1/10\n' | b'Two letters picked without replacement from {n: 1, b: 1, l: 1, g: 1, e: 1}. What is prob of picking 1 g and 1 b?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (c**(4/3)*c*(c**(5/3)*c)/c)/(c**(-10)*c*c/(c*c**1)*c*c) assuming c is positive.\n' | b'c**12\n' | b'Simplify (c**(4/3)*c*(c**(5/3)*c)/c)/(c**(-10)*c*c/(c*c**1)*c*c) assuming c is positive.\n' | b'c**12\n' | deepmind/math_dataset |
b'What is prob of sequence xm when two letters picked without replacement from ttttxxtttunmtttttttx?\n' | b'3/380\n' | b'What is prob of sequence xm when two letters picked without replacement from ttttxxtttunmtttttttx?\n' | b'3/380\n' | deepmind/math_dataset |
b'Find the third derivative of -109*g**2 + 86*g**4 + 13*g**3 - 474*g**2 + 7*g**5 - 44*g**4 - 41*g**4 - 595*g**2 wrt g.\n' | b'420*g**2 + 24*g + 78\n' | b'Find the third derivative of -109*g**2 + 86*g**4 + 13*g**3 - 474*g**2 + 7*g**5 - 44*g**4 - 41*g**4 - 595*g**2 wrt g.\n' | b'420*g**2 + 24*g + 78\n' | deepmind/math_dataset |
b'Suppose 6*w + 297 = 9*w. Let j = w - 96. Solve 1 - 2 = j*p + 2*d, 0 = -4*d - 8 for p.\n' | b'1\n' | b'Suppose 6*w + 297 = 9*w. Let j = w - 96. Solve 1 - 2 = j*p + 2*d, 0 = -4*d - 8 for p.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 1 k when two letters picked without replacement from hbqqhbgkyqqybbb.\n' | b'1/21\n' | b'Calculate prob of picking 1 b and 1 k when two letters picked without replacement from hbqqhbgkyqqybbb.\n' | b'1/21\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {b: 2, u: 9, l: 3, n: 2}.\n' | b'3/20\n' | b'Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {b: 2, u: 9, l: 3, n: 2}.\n' | b'3/20\n' | deepmind/math_dataset |
b'Simplify s**7*s**(3/5)/s*s/(s**(7/2)*s*s)*s**(-2/7) assuming s is positive.\n' | b's**(127/70)\n' | b'Simplify s**7*s**(3/5)/s*s/(s**(7/2)*s*s)*s**(-2/7) assuming s is positive.\n' | b's**(127/70)\n' | deepmind/math_dataset |
b'What is prob of picking 3 c and 1 q when four letters picked without replacement from {q: 3, c: 3}?\n' | b'1/5\n' | b'What is prob of picking 3 c and 1 q when four letters picked without replacement from {q: 3, c: 3}?\n' | b'1/5\n' | deepmind/math_dataset |
b'Suppose -28*u - 1472 = -1556. Solve 2*p - 23 = 5*a, -2*p + 4*a + 32 = u*p for p.\n' | b'4\n' | b'Suppose -28*u - 1472 = -1556. Solve 2*p - 23 = 5*a, -2*p + 4*a + 32 = u*p for p.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 1, v: 3, g: 2, u: 3, y: 1, q: 1}. Give prob of sequence gy.\n' | b'1/55\n' | b'Two letters picked without replacement from {r: 1, v: 3, g: 2, u: 3, y: 1, q: 1}. Give prob of sequence gy.\n' | b'1/55\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 2 m when three letters picked without replacement from tttttjttaajtjmtmtttt?\n' | b'1/570\n' | b'What is prob of picking 1 a and 2 m when three letters picked without replacement from tttttjttaajtjmtmtttt?\n' | b'1/570\n' | deepmind/math_dataset |
b'Let p(l) = -8*l - 31. Let c be p(-4). Let j(z) = 136*z - 4. Let o be j(c). Find the first derivative of q**4 + 19*q + 217 - 112 - o wrt q.\n' | b'4*q**3 + 19\n' | b'Let p(l) = -8*l - 31. Let c be p(-4). Let j(z) = 136*z - 4. Let o be j(c). Find the first derivative of q**4 + 19*q + 217 - 112 - o wrt q.\n' | b'4*q**3 + 19\n' | deepmind/math_dataset |
b'Let y(k) be the second derivative of -62*k**7/21 + k**6/15 - 1165*k**4/12 - 289*k + 2. What is the third derivative of y(w) wrt w?\n' | b'-7440*w**2 + 48*w\n' | b'Let y(k) be the second derivative of -62*k**7/21 + k**6/15 - 1165*k**4/12 - 289*k + 2. What is the third derivative of y(w) wrt w?\n' | b'-7440*w**2 + 48*w\n' | deepmind/math_dataset |
b'Let y(c) = -108*c**2 - 79*c + 7. Let q(n) = -53*n**2 - 40*n + 3. Let z(j) = 9*q(j) - 4*y(j). Find the second derivative of z(g) wrt g.\n' | b'-90\n' | b'Let y(c) = -108*c**2 - 79*c + 7. Let q(n) = -53*n**2 - 40*n + 3. Let z(j) = 9*q(j) - 4*y(j). Find the second derivative of z(g) wrt g.\n' | b'-90\n' | deepmind/math_dataset |
b'Suppose 0 = -3*i + 4*s + 149, -i - 5*s + 185 = 2*i. Let d = i + -50. Solve f - d = c + 1, 2*c = -4*f for f.\n' | b'2\n' | b'Suppose 0 = -3*i + 4*s + 149, -i - 5*s + 185 = 2*i. Let d = i + -50. Solve f - d = c + 1, 2*c = -4*f for f.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (p**13*(p*p/p**(2/5))/p)/((p/((p/((p*p**(-2/23))/p*p*p))/p*p)*p)/p*p)**(7/9) assuming p is positive.\n' | b'p**(11731/1035)\n' | b'Simplify (p**13*(p*p/p**(2/5))/p)/((p/((p/((p*p**(-2/23))/p*p*p))/p*p)*p)/p*p)**(7/9) assuming p is positive.\n' | b'p**(11731/1035)\n' | deepmind/math_dataset |
b'Let b(z) = -z + 9. Let v be b(5). Suppose v*r - r = 18. Let o be (2/r)/(4/60). Solve 7*j = 3*j + o*p, -p + 16 = -4*j for j.\n' | b'-5\n' | b'Let b(z) = -z + 9. Let v be b(5). Suppose v*r - r = 18. Let o be (2/r)/(4/60). Solve 7*j = 3*j + o*p, -p + 16 = -4*j for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Let x(f) = -2*f**3 + 4*f**2 - 3*f - 17. Let u be x(6). Let z = -319 - u. Solve -z*k - 21 = b, -4*k + 2*b - 10 - 8 = 0 for k.\n' | b'-5\n' | b'Let x(f) = -2*f**3 + 4*f**2 - 3*f - 17. Let u be x(6). Let z = -319 - u. Solve -z*k - 21 = b, -4*k + 2*b - 10 - 8 = 0 for k.\n' | b'-5\n' | deepmind/math_dataset |
b'Let c(o) = o**2 + 3*o - 2. Let f = 15 + -19. Let q be c(f). Suppose -4*w + 2 + q = 0. Solve -m - w = 1, -5*s + 29 = -2*m for s.\n' | b'5\n' | b'Let c(o) = o**2 + 3*o - 2. Let f = 15 + -19. Let q be c(f). Suppose -4*w + 2 + q = 0. Solve -m - w = 1, -5*s + 29 = -2*m for s.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 5*g + 20 = 5*u, 3*u + 6 = -2*g + 7*u. Suppose -24 = -3*t - t - 3*z, -t - 11 = 5*z. Let m = t + g. Solve -2*c = -p + 7, 0*p + 37 = -5*c - m*p for c.\n' | b'-5\n' | b'Suppose 5*g + 20 = 5*u, 3*u + 6 = -2*g + 7*u. Suppose -24 = -3*t - t - 3*z, -t - 11 = 5*z. Let m = t + g. Solve -2*c = -p + 7, 0*p + 37 = -5*c - m*p for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (((d*d**11)/d*d)/(d/(d/(d*(d*d**(-8))/d))))/(d**(-11)*(d*d*d/(d**(-2/13)/d))/d*d) assuming d is positive.\n' | b'd**(336/13)\n' | b'Simplify (((d*d**11)/d*d)/(d/(d/(d*(d*d**(-8))/d))))/(d**(-11)*(d*d*d/(d**(-2/13)/d))/d*d) assuming d is positive.\n' | b'd**(336/13)\n' | deepmind/math_dataset |
b'Simplify (((u**10/u)/(u*(u/u**(1/8))/u))/(u/u**(4/17)*u/(u/u**(1/10))))**37 assuming u is positive.\n' | b'u**(182669/680)\n' | b'Simplify (((u**10/u)/(u*(u/u**(1/8))/u))/(u/u**(4/17)*u/(u/u**(1/10))))**37 assuming u is positive.\n' | b'u**(182669/680)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uugiiigwwqiigi. What is prob of sequence gqi?\n' | b'3/364\n' | b'Three letters picked without replacement from uugiiigwwqiigi. What is prob of sequence gqi?\n' | b'3/364\n' | deepmind/math_dataset |
b'Simplify h**(-1/6)/h**(-2/5)*(h**0)**(1/46) assuming h is positive.\n' | b'h**(7/30)\n' | b'Simplify h**(-1/6)/h**(-2/5)*(h**0)**(1/46) assuming h is positive.\n' | b'h**(7/30)\n' | deepmind/math_dataset |
b'Let z(j) = -4*j + 37. Let r be z(10). Let h be (-4)/(-12)*r*-3. Solve 5*o = 11 + 9, -h*v - 24 = -3*o for v.\n' | b'-4\n' | b'Let z(j) = -4*j + 37. Let r be z(10). Let h be (-4)/(-12)*r*-3. Solve 5*o = 11 + 9, -h*v - 24 = -3*o for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Differentiate 74627*x - 149914*x + 74986*x + 3*x**2 + 9693 wrt x.\n' | b'6*x - 301\n' | b'Differentiate 74627*x - 149914*x + 74986*x + 3*x**2 + 9693 wrt x.\n' | b'6*x - 301\n' | deepmind/math_dataset |
b'What is the third derivative of 55 - 5*u**2 - 61 + 101 + 4*u**2 - 144*u**4 wrt u?\n' | b'-3456*u\n' | b'What is the third derivative of 55 - 5*u**2 - 61 + 101 + 4*u**2 - 144*u**4 wrt u?\n' | b'-3456*u\n' | deepmind/math_dataset |
b'Simplify (y**1)**(-29)*(y**0*y)**31 assuming y is positive.\n' | b'y**2\n' | b'Simplify (y**1)**(-29)*(y**0*y)**31 assuming y is positive.\n' | b'y**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence eto when three letters picked without replacement from goptooojgotopggeg.\n' | b'1/340\n' | b'Calculate prob of sequence eto when three letters picked without replacement from goptooojgotopggeg.\n' | b'1/340\n' | deepmind/math_dataset |
b'Simplify (y**(-1/5)/(y**8*y))/(y**(-6)*y**(-3))*(y*y**(-1/3)/y)**(-2/159)*(y**1)**(2/13) assuming y is positive.\n' | b'y**(-1301/31005)\n' | b'Simplify (y**(-1/5)/(y**8*y))/(y**(-6)*y**(-3))*(y*y**(-1/3)/y)**(-2/159)*(y**1)**(2/13) assuming y is positive.\n' | b'y**(-1301/31005)\n' | deepmind/math_dataset |
b'Suppose 0 = 2*b - 8*b + 2*b. Suppose b = 2*r - 0*l - 5*l, 5*r = -2*l + 29. Let d(u) = -8 - r*u - 1 + 8 + u**2. Calculate d(4).\n' | b'-5\n' | b'Suppose 0 = 2*b - 8*b + 2*b. Suppose b = 2*r - 0*l - 5*l, 5*r = -2*l + 29. Let d(u) = -8 - r*u - 1 + 8 + u**2. Calculate d(4).\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l and 1 x when two letters picked without replacement from {s: 3, z: 2, l: 1, m: 4, x: 1, b: 1}.\n' | b'1/66\n' | b'Calculate prob of picking 1 l and 1 x when two letters picked without replacement from {s: 3, z: 2, l: 1, m: 4, x: 1, b: 1}.\n' | b'1/66\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 12, r: 3}. Give prob of sequence rp.\n' | b'6/35\n' | b'Two letters picked without replacement from {p: 12, r: 3}. Give prob of sequence rp.\n' | b'6/35\n' | deepmind/math_dataset |
b'Suppose 47*w - 15 = 44*w. Solve -4*x = -w*c - 3 + 2, -2*c + 4*x = 10 for c.\n' | b'3\n' | b'Suppose 47*w - 15 = 44*w. Solve -4*x = -w*c - 3 + 2, -2*c + 4*x = 10 for c.\n' | b'3\n' | deepmind/math_dataset |
b'Let p(c) be the first derivative of -23*c**8/56 + 25*c**4/12 + 29*c + 29. Let j(m) be the first derivative of p(m). Find the third derivative of j(y) wrt y.\n' | b'-2760*y**3\n' | b'Let p(c) be the first derivative of -23*c**8/56 + 25*c**4/12 + 29*c + 29. Let j(m) be the first derivative of p(m). Find the third derivative of j(y) wrt y.\n' | b'-2760*y**3\n' | deepmind/math_dataset |
b'Let y(v) = -v**2 + 6*v - 4. Let u be y(6). Let a = -1 - u. Solve -2*q + w = a*w, -3*q + 20 = -2*w for q.\n' | b'4\n' | b'Let y(v) = -v**2 + 6*v - 4. Let u be y(6). Let a = -1 - u. Solve -2*q + w = a*w, -3*q + 20 = -2*w for q.\n' | b'4\n' | deepmind/math_dataset |
b'Let n be 4/(-7) + 432/168 + 1. Solve 5*p + 0 = n*o + 7, -o + p = 1 for o.\n' | b'1\n' | b'Let n be 4/(-7) + 432/168 + 1. Solve 5*p + 0 = n*o + 7, -o + p = 1 for o.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 2*k - 3*t - 291 = 1569, -t - 2783 = -3*k. Let x(r) = -r**2 + 8*r - 466 - 454 + k. Calculate x(6).\n' | b'19\n' | b'Suppose 2*k - 3*t - 291 = 1569, -t - 2783 = -3*k. Let x(r) = -r**2 + 8*r - 466 - 454 + k. Calculate x(6).\n' | b'19\n' | deepmind/math_dataset |
b'Simplify o/(o**(-17)/o)*o*o/(o/(o*(o*o/(o/o**8)*o*o)/o)) assuming o is positive.\n' | b'o**31\n' | b'Simplify o/(o**(-17)/o)*o*o/(o/(o*(o*o/(o/o**8)*o*o)/o)) assuming o is positive.\n' | b'o**31\n' | deepmind/math_dataset |
b'Suppose 4*y = -y. Suppose 4*d - 15 - 5 = y. Suppose -d - 7 = -4*n. Solve 13 + 2 = 5*j + l, n*l = -4*j + 1 for j.\n' | b'4\n' | b'Suppose 4*y = -y. Suppose 4*d - 15 - 5 = y. Suppose -d - 7 = -4*n. Solve 13 + 2 = 5*j + l, n*l = -4*j + 1 for j.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -c - c = 10. Let o be c/2*(1 - 3). Solve -29 = -3*h - o*g, h = -0*h + 2*g - 5 for h.\n' | b'3\n' | b'Suppose -c - c = 10. Let o be c/2*(1 - 3). Solve -29 = -3*h - o*g, h = -0*h + 2*g - 5 for h.\n' | b'3\n' | deepmind/math_dataset |
b'Let s(z) = z**4 - 1. Let n(a) = 0 + a**2 + 7*a**4 - 2 - 3. Let u(x) = -n(x) + 5*s(x). Find the third derivative of u(t) wrt t.\n' | b'-48*t\n' | b'Let s(z) = z**4 - 1. Let n(a) = 0 + a**2 + 7*a**4 - 2 - 3. Let u(x) = -n(x) + 5*s(x). Find the third derivative of u(t) wrt t.\n' | b'-48*t\n' | deepmind/math_dataset |
b'Suppose -3*i - 2*i + 80 = 0. Suppose 4 = -q - 3*r, 3*q - 4*r = -q + i. Find the second derivative of v**4 - 2*v**4 + 0*v + q*v wrt v.\n' | b'-12*v**2\n' | b'Suppose -3*i - 2*i + 80 = 0. Suppose 4 = -q - 3*r, 3*q - 4*r = -q + i. Find the second derivative of v**4 - 2*v**4 + 0*v + q*v wrt v.\n' | b'-12*v**2\n' | deepmind/math_dataset |
b'Suppose 24*m - 12*m + 6*m = 0. Let x(a) be the second derivative of -2/3*a**3 + m - a**2 - 10*a. Calculate x(-2).\n' | b'6\n' | b'Suppose 24*m - 12*m + 6*m = 0. Let x(a) be the second derivative of -2/3*a**3 + m - a**2 - 10*a. Calculate x(-2).\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of sequence pppp when four letters picked without replacement from ppppppppppupp?\n' | b'9/13\n' | b'What is prob of sequence pppp when four letters picked without replacement from ppppppppppupp?\n' | b'9/13\n' | deepmind/math_dataset |
b'Simplify ((u**(-4/3))**32)**(12/17)*u*u*u*u/(u**(-1/7)/u)*u**(-1)*(u/(u*u**(-1/5)*u))**43 assuming u is positive.\n' | b'u**(-35923/595)\n' | b'Simplify ((u**(-4/3))**32)**(12/17)*u*u*u*u/(u**(-1/7)/u)*u**(-1)*(u/(u*u**(-1/5)*u))**43 assuming u is positive.\n' | b'u**(-35923/595)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kcyttccbknnk. Give prob of picking 1 n and 1 y.\n' | b'1/33\n' | b'Two letters picked without replacement from kcyttccbknnk. Give prob of picking 1 n and 1 y.\n' | b'1/33\n' | deepmind/math_dataset |
b'Let s(g) = 6 + g**2 - 4 - 5*g - 3 + 0. Let h be 3*2/((-12)/(-2)). Let f = h - -3. Give s(f).\n' | b'-5\n' | b'Let s(g) = 6 + g**2 - 4 - 5*g - 3 + 0. Let h be 3*2/((-12)/(-2)). Let f = h - -3. Give s(f).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 4*l - 4*s - 24 = 0, 0 = 5*l + s + 3*s + 15. Let h be l*((0 - -3) + -1). Suppose 0 = -2*v + 10 + 6. Solve -h*g + v = 2*j, j + 0*g - 2*g = 1 for j.\n' | b'3\n' | b'Suppose 4*l - 4*s - 24 = 0, 0 = 5*l + s + 3*s + 15. Let h be l*((0 - -3) + -1). Suppose 0 = -2*v + 10 + 6. Solve -h*g + v = 2*j, j + 0*g - 2*g = 1 for j.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 3*s + 3 = 0, -t - 2*s = -4*t + 29. Solve -3*w + 19 = 5*d, -3*w + 26 - t = 4*d for w.\n' | b'3\n' | b'Suppose 3*s + 3 = 0, -t - 2*s = -4*t + 29. Solve -3*w + 19 = 5*d, -3*w + 26 - t = 4*d for w.\n' | b'3\n' | deepmind/math_dataset |
b'Let f(r) = r**3 + 2*r**2 - 7*r - 9. Let s be f(-2). Solve 0 = -3*q + 2*q - 2*g + 3, s*q + 3*g = 8 for q.\n' | b'1\n' | b'Let f(r) = r**3 + 2*r**2 - 7*r - 9. Let s be f(-2). Solve 0 = -3*q + 2*q - 2*g + 3, s*q + 3*g = 8 for q.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ksssssskss. What is prob of picking 3 s?\n' | b'7/15\n' | b'Three letters picked without replacement from ksssssskss. What is prob of picking 3 s?\n' | b'7/15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nneennnn. Give prob of picking 1 e and 3 n.\n' | b'4/7\n' | b'Four letters picked without replacement from nneennnn. Give prob of picking 1 e and 3 n.\n' | b'4/7\n' | deepmind/math_dataset |
b'Let n be (6/4)/((-5)/(-30)). Let g = n - 7. What is the third derivative of g*p**3 - 2*p**2 + p**2 + 2*p**2 wrt p?\n' | b'12\n' | b'Let n be (6/4)/((-5)/(-30)). Let g = n - 7. What is the third derivative of g*p**3 - 2*p**2 + p**2 + 2*p**2 wrt p?\n' | b'12\n' | deepmind/math_dataset |
b'Simplify u**(-2)*u**(1/7)*(u**(-6/5)/u)/(u**(2/11)/u) assuming u is positive.\n' | b'u**(-1247/385)\n' | b'Simplify u**(-2)*u**(1/7)*(u**(-6/5)/u)/(u**(2/11)/u) assuming u is positive.\n' | b'u**(-1247/385)\n' | deepmind/math_dataset |
b'Let c(q) be the second derivative of 3/2*q**2 + 0 + 5*q - 2/3*q**3. Calculate c(-3).\n' | b'15\n' | b'Let c(q) be the second derivative of 3/2*q**2 + 0 + 5*q - 2/3*q**3. Calculate c(-3).\n' | b'15\n' | deepmind/math_dataset |
b'Let c(o) = 2*o - 9. Let s be (-51)/(-12) + (-1)/4. Suppose 4*a = 20, -5*u + 39 = 2*a + 9. Suppose s = v + 5*f + 3, 5*v + u*f - 26 = 0. Give c(v).\n' | b'3\n' | b'Let c(o) = 2*o - 9. Let s be (-51)/(-12) + (-1)/4. Suppose 4*a = 20, -5*u + 39 = 2*a + 9. Suppose s = v + 5*f + 3, 5*v + u*f - 26 = 0. Give c(v).\n' | b'3\n' | deepmind/math_dataset |
b'Let p = -4 - 0. Let a(k) = -k + 8. Let u be 6 - (3 + -2 - -1). Let y(z) = z - 1. Let v(n) = u*y(n) + a(n). Calculate v(p).\n' | b'-8\n' | b'Let p = -4 - 0. Let a(k) = -k + 8. Let u be 6 - (3 + -2 - -1). Let y(z) = z - 1. Let v(n) = u*y(n) + a(n). Calculate v(p).\n' | b'-8\n' | deepmind/math_dataset |
b'Let o(n) = n**3 + n**2 + 6. Let u be (-7)/(-28) + (-66)/8. Let g(r) = -r - 8. Let d be g(u). Calculate o(d).\n' | b'6\n' | b'Let o(n) = n**3 + n**2 + 6. Let u be (-7)/(-28) + (-66)/8. Let g(r) = -r - 8. Let d be g(u). Calculate o(d).\n' | b'6\n' | deepmind/math_dataset |
b'Let p(c) = 13*c**2 - 133*c + 34. Let u be p(10). Let v(g) be the first derivative of -41/4*g**u + 0*g**2 + 0*g**3 + 21 - 37*g. Differentiate v(h) wrt h.\n' | b'-123*h**2\n' | b'Let p(c) = 13*c**2 - 133*c + 34. Let u be p(10). Let v(g) be the first derivative of -41/4*g**u + 0*g**2 + 0*g**3 + 21 - 37*g. Differentiate v(h) wrt h.\n' | b'-123*h**2\n' | deepmind/math_dataset |
b'Let d(v) = -v + 87. Let h be d(17). What is the second derivative of -3*a**2 + 20*a**2 - 2*a**2 + h*a - 2*a**2 wrt a?\n' | b'26\n' | b'Let d(v) = -v + 87. Let h be d(17). What is the second derivative of -3*a**2 + 20*a**2 - 2*a**2 + h*a - 2*a**2 wrt a?\n' | b'26\n' | deepmind/math_dataset |
b'Let h be ((-261)/(-54) - 3)*6. Solve 3*m + 15 = 8*m + 5*o, 0 = -5*m - 4*o + h for m.\n' | b'-1\n' | b'Let h be ((-261)/(-54) - 3)*6. Solve 3*m + 15 = 8*m + 5*o, 0 = -5*m - 4*o + h for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((j*(((((j/j**2)/j)/j)/j)/j)/j*j)/j)**(2/39)*(j*j/(j/(j/j**(-2/9))))/(((j/j**(2/5))/j)/j) assuming j is positive.\n' | b'j**(1969/585)\n' | b'Simplify ((j*(((((j/j**2)/j)/j)/j)/j)/j*j)/j)**(2/39)*(j*j/(j/(j/j**(-2/9))))/(((j/j**(2/5))/j)/j) assuming j is positive.\n' | b'j**(1969/585)\n' | deepmind/math_dataset |
b'Simplify (((w/(w*(w*w**(6/11)*w)/w))/w*w**(-6))**(1/80))**(-33) assuming w is positive.\n' | b'w**(141/40)\n' | b'Simplify (((w/(w*(w*w**(6/11)*w)/w))/w*w**(-6))**(1/80))**(-33) assuming w is positive.\n' | b'w**(141/40)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mnhmhpnnmpnn. What is prob of sequence hnnh?\n' | b'1/297\n' | b'Four letters picked without replacement from mnhmhpnnmpnn. What is prob of sequence hnnh?\n' | b'1/297\n' | deepmind/math_dataset |
b'Let q be 18/63 + 103/7. Let l = -13 + 16. Solve -19 = l*t - 2*h, t - 4*h - h = -q for t.\n' | b'-5\n' | b'Let q be 18/63 + 103/7. Let l = -13 + 16. Solve -19 = l*t - 2*h, t - 4*h - h = -q for t.\n' | b'-5\n' | deepmind/math_dataset |
b'Let o be (3 - 3) + 4 + -2. Find the second derivative of -o*g**2 - g**2 + g + 3*g - 7*g wrt g.\n' | b'-6\n' | b'Let o be (3 - 3) + 4 + -2. Find the second derivative of -o*g**2 - g**2 + g + 3*g - 7*g wrt g.\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of sequence jojs when four letters picked without replacement from {j: 5, s: 3, o: 1}.\n' | b'5/252\n' | b'Calculate prob of sequence jojs when four letters picked without replacement from {j: 5, s: 3, o: 1}.\n' | b'5/252\n' | deepmind/math_dataset |
b'Simplify w**(11/3)*w**(9/4) assuming w is positive.\n' | b'w**(71/12)\n' | b'Simplify w**(11/3)*w**(9/4) assuming w is positive.\n' | b'w**(71/12)\n' | deepmind/math_dataset |
b'Let z = -38 + 41. Suppose 5*i = 10, 3*f - z + 7 = 5*i. Solve 4*j - s + 3 = 0, f*j + 2*j - 5*s = -15 for j.\n' | b'0\n' | b'Let z = -38 + 41. Suppose 5*i = 10, 3*f - z + 7 = 5*i. Solve 4*j - s + 3 = 0, f*j + 2*j - 5*s = -15 for j.\n' | b'0\n' | deepmind/math_dataset |
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