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'Let v be (-8)/(-160) - (605/100 - 6). Solve v = z + 5*j - 4, 3*z + 4*j = -151 + 163 for z.\n' | b'4\n' | b'Let v be (-8)/(-160) - (605/100 - 6). Solve v = z + 5*j - 4, 3*z + 4*j = -151 + 163 for z.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (c**(2/15))**(-43)*(c**(-9)/c)/c**(-2) assuming c is positive.\n' | b'c**(-206/15)\n' | b'Simplify (c**(2/15))**(-43)*(c**(-9)/c)/c**(-2) assuming c is positive.\n' | b'c**(-206/15)\n' | deepmind/math_dataset |
b'Simplify w**6*w/w**(1/6)*w**(-1/8)*w*(w*(w*(w*w**1/w)/w*w)/w)/w assuming w is positive.\n' | b'w**(209/24)\n' | b'Simplify w**6*w/w**(1/6)*w**(-1/8)*w*(w*(w*(w*w**1/w)/w*w)/w)/w assuming w is positive.\n' | b'w**(209/24)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from eiiiei. Give prob of picking 2 e and 2 i.\n' | b'2/5\n' | b'Four letters picked without replacement from eiiiei. Give prob of picking 2 e and 2 i.\n' | b'2/5\n' | deepmind/math_dataset |
b'Suppose 5*m = 2*c - 318, -c = 3*m + 2*c + 174. Let j = 107 + m. What is the derivative of t - t - j - 4*t + 42 wrt t?\n' | b'-4\n' | b'Suppose 5*m = 2*c - 318, -c = 3*m + 2*c + 174. Let j = 107 + m. What is the derivative of t - t - j - 4*t + 42 wrt t?\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fmwkwtlmkwmff. Give prob of sequence kmw.\n' | b'3/286\n' | b'Three letters picked without replacement from fmwkwtlmkwmff. Give prob of sequence kmw.\n' | b'3/286\n' | deepmind/math_dataset |
b'Let x(d) = -d**3 - 2*d**2 - 10*d + 5. Let b(s) = s**2 + s - 1. Let i(h) = 6*b(h) + x(h). What is i(3)?\n' | b'-4\n' | b'Let x(d) = -d**3 - 2*d**2 - 10*d + 5. Let b(s) = s**2 + s - 1. Let i(h) = 6*b(h) + x(h). What is i(3)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let r(m) be the third derivative of -5*m**8/336 - 2*m**4/3 - 30*m**2. What is the second derivative of r(x) wrt x?\n' | b'-100*x**3\n' | b'Let r(m) be the third derivative of -5*m**8/336 - 2*m**4/3 - 30*m**2. What is the second derivative of r(x) wrt x?\n' | b'-100*x**3\n' | deepmind/math_dataset |
b'Let w = -333 - -338. Solve b = -d + 3, 4*d + 3 = -w*b + 13 for d.\n' | b'5\n' | b'Let w = -333 - -338. Solve b = -d + 3, 4*d + 3 = -w*b + 13 for d.\n' | b'5\n' | deepmind/math_dataset |
b'Let a(l) be the third derivative of l**8/112 - 7*l**4/24 + 3*l**2. What is the second derivative of a(t) wrt t?\n' | b'60*t**3\n' | b'Let a(l) be the third derivative of l**8/112 - 7*l**4/24 + 3*l**2. What is the second derivative of a(t) wrt t?\n' | b'60*t**3\n' | deepmind/math_dataset |
b'Let b be 3/(1 - 1/4). Suppose 2*a - 2 = -4*q, q + 3*q - b*a - 20 = 0. Suppose -q*m + 10 + 20 = 0. Solve 3*w = -m, c - 4*w + 9*w + 23 = 0 for c.\n' | b'2\n' | b'Let b be 3/(1 - 1/4). Suppose 2*a - 2 = -4*q, q + 3*q - b*a - 20 = 0. Suppose -q*m + 10 + 20 = 0. Solve 3*w = -m, c - 4*w + 9*w + 23 = 0 for c.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jijljyyijpjijyjjjyji. What is prob of picking 1 i and 1 y?\n' | b'8/95\n' | b'Two letters picked without replacement from jijljyyijpjijyjjjyji. What is prob of picking 1 i and 1 y?\n' | b'8/95\n' | deepmind/math_dataset |
b'Let v(f) = -f**3 + 2*f**2 + 10*f - 4. Let m be v(4). Solve 5 = -5*k - h + m*h, k + 2*h = -14 for k.\n' | b'-4\n' | b'Let v(f) = -f**3 + 2*f**2 + 10*f - 4. Let m be v(4). Solve 5 = -5*k - h + m*h, k + 2*h = -14 for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Let b be 182/637 - 85*24/(-14). Find the second derivative of 41*i**2 - 3 + 88*i**2 - 18*i**2 + 2 + b*i wrt i.\n' | b'222\n' | b'Let b be 182/637 - 85*24/(-14). Find the second derivative of 41*i**2 - 3 + 88*i**2 - 18*i**2 + 2 + b*i wrt i.\n' | b'222\n' | deepmind/math_dataset |
b'Let p be (-1)/5 + (-42)/(-10) + 2. Let h(u) = -4*u**2 + 8. Let y(r) = -5*r**2 - r + 9. Let i(l) = p*h(l) - 5*y(l). Give i(-6).\n' | b'9\n' | b'Let p be (-1)/5 + (-42)/(-10) + 2. Let h(u) = -4*u**2 + 8. Let y(r) = -5*r**2 - r + 9. Let i(l) = p*h(l) - 5*y(l). Give i(-6).\n' | b'9\n' | deepmind/math_dataset |
b'Let f(o) be the first derivative of 3*o**4/4 - o**3 - 49*o**2 - 88. What is the second derivative of f(d) wrt d?\n' | b'18*d - 6\n' | b'Let f(o) be the first derivative of 3*o**4/4 - o**3 - 49*o**2 - 88. What is the second derivative of f(d) wrt d?\n' | b'18*d - 6\n' | deepmind/math_dataset |
b'What is the derivative of 17570 + 11640*h - 14322 - 12269 wrt h?\n' | b'11640\n' | b'What is the derivative of 17570 + 11640*h - 14322 - 12269 wrt h?\n' | b'11640\n' | deepmind/math_dataset |
b'Let d(m) be the third derivative of -m**4/4 + m**3/6 - 7*m**2. Suppose -n + 5 - 4 = 0. What is d(n)?\n' | b'-5\n' | b'Let d(m) be the third derivative of -m**4/4 + m**3/6 - 7*m**2. Suppose -n + 5 - 4 = 0. What is d(n)?\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 7, l: 2, f: 7}. Give prob of sequence hl.\n' | b'7/120\n' | b'Two letters picked without replacement from {h: 7, l: 2, f: 7}. Give prob of sequence hl.\n' | b'7/120\n' | deepmind/math_dataset |
b'Simplify (q*q*q**(3/11))/(((q**(6/11)*q)/q)/q)*(q*q**(-21))/(q**(2/45)/q) assuming q is positive.\n' | b'q**(-8077/495)\n' | b'Simplify (q*q*q**(3/11))/(((q**(6/11)*q)/q)/q)*(q*q**(-21))/(q**(2/45)/q) assuming q is positive.\n' | b'q**(-8077/495)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v, 2 f, and 1 o when four letters picked without replacement from {f: 7, o: 7, v: 2}.\n' | b'21/130\n' | b'Calculate prob of picking 1 v, 2 f, and 1 o when four letters picked without replacement from {f: 7, o: 7, v: 2}.\n' | b'21/130\n' | deepmind/math_dataset |
b'Suppose -5*b + 23 = 3. Solve -9*j - 15 = -b*j + 5*o, 0 = 2*j - o + 12 for j.\n' | b'-5\n' | b'Suppose -5*b + 23 = 3. Solve -9*j - 15 = -b*j + 5*o, 0 = 2*j - o + 12 for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (y**(-8)*(y**11*y)/y)**(-1/7) assuming y is positive.\n' | b'y**(-3/7)\n' | b'Simplify (y**(-8)*(y**11*y)/y)**(-1/7) assuming y is positive.\n' | b'y**(-3/7)\n' | deepmind/math_dataset |
b'Simplify (k*k**(-1)/k)/((k/((k**(3/8)/k)/k*k*k))/k)*(k**0)**26*(k**(-3/4)/k*k)/k**(-1/6)*k*k*k**0*k*k*k/(k**(-1)/k)*k assuming k is positive.\n' | b'k**(163/24)\n' | b'Simplify (k*k**(-1)/k)/((k/((k**(3/8)/k)/k*k*k))/k)*(k**0)**26*(k**(-3/4)/k*k)/k**(-1/6)*k*k*k**0*k*k*k/(k**(-1)/k)*k assuming k is positive.\n' | b'k**(163/24)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 3, e: 3, c: 1, x: 1, v: 3, i: 2}. What is prob of sequence xvi?\n' | b'1/286\n' | b'Three letters picked without replacement from {p: 3, e: 3, c: 1, x: 1, v: 3, i: 2}. What is prob of sequence xvi?\n' | b'1/286\n' | deepmind/math_dataset |
b'Calculate prob of sequence wqq when three letters picked without replacement from wwwqwwwwwqqwwq.\n' | b'5/91\n' | b'Calculate prob of sequence wqq when three letters picked without replacement from wwwqwwwwwqqwwq.\n' | b'5/91\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lolollyloyyyll. What is prob of picking 4 l?\n' | b'5/143\n' | b'Four letters picked without replacement from lolollyloyyyll. What is prob of picking 4 l?\n' | b'5/143\n' | deepmind/math_dataset |
b'What is prob of sequence grg when three letters picked without replacement from {g: 5, r: 14}?\n' | b'140/2907\n' | b'What is prob of sequence grg when three letters picked without replacement from {g: 5, r: 14}?\n' | b'140/2907\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t, 1 k, 1 q, and 1 g when four letters picked without replacement from fkkgqkqfqfqkqfqqgt.\n' | b'14/765\n' | b'Calculate prob of picking 1 t, 1 k, 1 q, and 1 g when four letters picked without replacement from fkkgqkqfqfqkqfqqgt.\n' | b'14/765\n' | deepmind/math_dataset |
b'Calculate prob of sequence bbk when three letters picked without replacement from qbnkbnkbbbbbkk.\n' | b'1/13\n' | b'Calculate prob of sequence bbk when three letters picked without replacement from qbnkbnkbbbbbkk.\n' | b'1/13\n' | deepmind/math_dataset |
b'Simplify d**(-2/11)*d**(2/9)*d**(2/7)/(d/(d**(3/7)*d)) assuming d is positive.\n' | b'd**(523/693)\n' | b'Simplify d**(-2/11)*d**(2/9)*d**(2/7)/(d/(d**(3/7)*d)) assuming d is positive.\n' | b'd**(523/693)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 6, h: 2, b: 3, p: 3, d: 2, w: 2}. Give prob of picking 1 p, 2 h, and 1 b.\n' | b'1/340\n' | b'Four letters picked without replacement from {l: 6, h: 2, b: 3, p: 3, d: 2, w: 2}. Give prob of picking 1 p, 2 h, and 1 b.\n' | b'1/340\n' | deepmind/math_dataset |
b'Let y(q) be the second derivative of 3*q**4/4 + q**3/2 - 54*q**2 - 6*q - 1. Find the first derivative of y(n) wrt n.\n' | b'18*n + 3\n' | b'Let y(q) be the second derivative of 3*q**4/4 + q**3/2 - 54*q**2 - 6*q - 1. Find the first derivative of y(n) wrt n.\n' | b'18*n + 3\n' | deepmind/math_dataset |
b'Let n(p) = -9*p + p**3 - 7*p**2 - 32 + 0*p**2 + 0*p**2 - 4*p**2. Let q be n(12). Solve q = -o - 2*h, 1 = -o - 4*h + 3*h for o.\n' | b'2\n' | b'Let n(p) = -9*p + p**3 - 7*p**2 - 32 + 0*p**2 + 0*p**2 - 4*p**2. Let q be n(12). Solve q = -o - 2*h, 1 = -o - 4*h + 3*h for o.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence ggl when three letters picked without replacement from glgc.\n' | b'1/12\n' | b'Calculate prob of sequence ggl when three letters picked without replacement from glgc.\n' | b'1/12\n' | deepmind/math_dataset |
b'Let x be (-1104)/(-78) - (44/(-52) - -1). Solve -f - x = -2*c - 3*f, 2*f = -3*c + 16 for c.\n' | b'2\n' | b'Let x be (-1104)/(-78) - (44/(-52) - -1). Solve -f - x = -2*c - 3*f, 2*f = -3*c + 16 for c.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from cccccccccccchccccc. Give prob of picking 3 c and 1 h.\n' | b'2/9\n' | b'Four letters picked without replacement from cccccccccccchccccc. Give prob of picking 3 c and 1 h.\n' | b'2/9\n' | deepmind/math_dataset |
b'Simplify (((s**(2/7))**(-47))**(11/4))**(-15/8) assuming s is positive.\n' | b's**(7755/112)\n' | b'Simplify (((s**(2/7))**(-47))**(11/4))**(-15/8) assuming s is positive.\n' | b's**(7755/112)\n' | deepmind/math_dataset |
b'Let b(l) = -l**3 + 8*l**2 + l - 9. Let g be b(8). Let z be g - (1 + 0 - 8). Let t(i) = z*i - 30 + 30. Give t(1).\n' | b'6\n' | b'Let b(l) = -l**3 + 8*l**2 + l - 9. Let g be b(8). Let z be g - (1 + 0 - 8). Let t(i) = z*i - 30 + 30. Give t(1).\n' | b'6\n' | deepmind/math_dataset |
b'Let h be (-20)/(-30)*(0 - -3). What is the second derivative of -104*z**2 + 0 - 6*z + h - 10*z + 5*z wrt z?\n' | b'-208\n' | b'Let h be (-20)/(-30)*(0 - -3). What is the second derivative of -104*z**2 + 0 - 6*z + h - 10*z + 5*z wrt z?\n' | b'-208\n' | deepmind/math_dataset |
b'Let v(y) = 10*y**3 + 7*y**2 + 17. Let i(m) = 6*m**2 + 3*m**3 + 5 + 0 + 1 - 4*m**2. Let p(g) = 17*i(g) - 6*v(g). What is the third derivative of p(d) wrt d?\n' | b'-54\n' | b'Let v(y) = 10*y**3 + 7*y**2 + 17. Let i(m) = 6*m**2 + 3*m**3 + 5 + 0 + 1 - 4*m**2. Let p(g) = 17*i(g) - 6*v(g). What is the third derivative of p(d) wrt d?\n' | b'-54\n' | deepmind/math_dataset |
b'Calculate prob of sequence xdxv when four letters picked without replacement from dvddddxdxxdxd.\n' | b'4/715\n' | b'Calculate prob of sequence xdxv when four letters picked without replacement from dvddddxdxxdxd.\n' | b'4/715\n' | deepmind/math_dataset |
b'Let h(l) be the first derivative of l**4/4 - 4*l**3/3 - l**2 - 11*l - 27. Calculate h(5).\n' | b'4\n' | b'Let h(l) be the first derivative of l**4/4 - 4*l**3/3 - l**2 - 11*l - 27. Calculate h(5).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (v/v**18*(v*(v*v*v/v**(-25))/v)/v*v*v)/((v/v**(9/4))/v*(v*(v*v*v**(3/4)/v*v)/v*v*v)/v*v) assuming v is positive.\n' | b'v**(19/2)\n' | b'Simplify (v/v**18*(v*(v*v*v/v**(-25))/v)/v*v*v)/((v/v**(9/4))/v*(v*(v*v*v**(3/4)/v*v)/v*v*v)/v*v) assuming v is positive.\n' | b'v**(19/2)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 1, w: 1, a: 1, u: 1, n: 1, s: 2}. What is prob of picking 1 u and 1 o?\n' | b'1/21\n' | b'Two letters picked without replacement from {o: 1, w: 1, a: 1, u: 1, n: 1, s: 2}. What is prob of picking 1 u and 1 o?\n' | b'1/21\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s and 1 u when two letters picked without replacement from vvvspup.\n' | b'1/21\n' | b'Calculate prob of picking 1 s and 1 u when two letters picked without replacement from vvvspup.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let d(l) be the second derivative of -76*l**7/21 + l**4/2 + 94*l. Find the third derivative of d(k) wrt k.\n' | b'-9120*k**2\n' | b'Let d(l) be the second derivative of -76*l**7/21 + l**4/2 + 94*l. Find the third derivative of d(k) wrt k.\n' | b'-9120*k**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 7, e: 3, u: 4}. What is prob of picking 2 n and 2 u?\n' | b'18/143\n' | b'Four letters picked without replacement from {n: 7, e: 3, u: 4}. What is prob of picking 2 n and 2 u?\n' | b'18/143\n' | deepmind/math_dataset |
b'Simplify (((r*r**(-11)*r)/(r*r**(2/17)))/(r**(1/7)*r**(2/5)*r))**(3/4) assuming r is positive.\n' | b'r**(-10407/1190)\n' | b'Simplify (((r*r**(-11)*r)/(r*r**(2/17)))/(r**(1/7)*r**(2/5)*r))**(3/4) assuming r is positive.\n' | b'r**(-10407/1190)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 4, f: 2, z: 1}. What is prob of sequence xx?\n' | b'2/7\n' | b'Two letters picked without replacement from {x: 4, f: 2, z: 1}. What is prob of sequence xx?\n' | b'2/7\n' | deepmind/math_dataset |
b'Simplify (((w/w**4)/w)/w)/(w*w**(-7))*w**6/(w/(w/w**(-8)))*(w/(w/((w*w*w/(w/w**(1/6))*w)/w)))/(w*w/(w**(-1/9)/w))*(w**(-1))**(-11) assuming w is positive.\n' | b'w**(451/18)\n' | b'Simplify (((w/w**4)/w)/w)/(w*w**(-7))*w**6/(w/(w/w**(-8)))*(w/(w/((w*w*w/(w/w**(1/6))*w)/w)))/(w*w/(w**(-1/9)/w))*(w**(-1))**(-11) assuming w is positive.\n' | b'w**(451/18)\n' | deepmind/math_dataset |
b'Suppose -9*h = -17 - 1. Differentiate -1 + 17*k**2 - 8*k**2 + 17*k**h wrt k.\n' | b'52*k\n' | b'Suppose -9*h = -17 - 1. Differentiate -1 + 17*k**2 - 8*k**2 + 17*k**h wrt k.\n' | b'52*k\n' | deepmind/math_dataset |
b'Let x(r) = r. Let s(z) = -z**3 - z**2 + 2. Let t be s(0). Suppose -t*o + 38 = -2*q, 0 = -4*o + q + 119 - 34. Let f = o - 19. What is x(f)?\n' | b'3\n' | b'Let x(r) = r. Let s(z) = -z**3 - z**2 + 2. Let t be s(0). Suppose -t*o + 38 = -2*q, 0 = -4*o + q + 119 - 34. Let f = o - 19. What is x(f)?\n' | b'3\n' | deepmind/math_dataset |
b'Let f = -198 - -4757/24. Let b(t) be the third derivative of 0*t + 0 - 1/6*t**3 + 3*t**2 + f*t**4. What is b(-2)?\n' | b'-11\n' | b'Let f = -198 - -4757/24. Let b(t) be the third derivative of 0*t + 0 - 1/6*t**3 + 3*t**2 + f*t**4. What is b(-2)?\n' | b'-11\n' | deepmind/math_dataset |
b'Simplify t**30*t**(-15)*(t**30*t)/(t**(-1/13)/t*t) assuming t is positive.\n' | b't**(599/13)\n' | b'Simplify t**30*t**(-15)*(t**30*t)/(t**(-1/13)/t*t) assuming t is positive.\n' | b't**(599/13)\n' | deepmind/math_dataset |
b'Let f(h) = 9*h - 21. Let n = 8707 - 8698. Calculate f(n).\n' | b'60\n' | b'Let f(h) = 9*h - 21. Let n = 8707 - 8698. Calculate f(n).\n' | b'60\n' | deepmind/math_dataset |
b'Let q(c) = c**3 + 7*c**2 + 6*c + 2. Let y be q(-2). Let t be y/(-60) - 38/(-12). Find the second derivative of -1 + 1 + 4*u + t*u**2 + 16*u wrt u.\n' | b'6\n' | b'Let q(c) = c**3 + 7*c**2 + 6*c + 2. Let y be q(-2). Let t be y/(-60) - 38/(-12). Find the second derivative of -1 + 1 + 4*u + t*u**2 + 16*u wrt u.\n' | b'6\n' | deepmind/math_dataset |
b'Let k(p) = p**2 - p - 1. Let v(z) = -2*z**2 - 7*z + 6. Let h(b) = 3*k(b) + v(b). Determine h(10).\n' | b'3\n' | b'Let k(p) = p**2 - p - 1. Let v(z) = -2*z**2 - 7*z + 6. Let h(b) = 3*k(b) + v(b). Determine h(10).\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -5*d + 3*f + 4 = -29, 0 = 3*d + 5*f - 13. Let z = d + -2. Solve -10 = -4*k - 5*a, -5*k + 2*a - z = -3*k for k.\n' | b'0\n' | b'Suppose -5*d + 3*f + 4 = -29, 0 = 3*d + 5*f - 13. Let z = d + -2. Solve -10 = -4*k - 5*a, -5*k + 2*a - z = -3*k for k.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose c + 3 = 2*c. Let g be -1*0*3/9. Solve -3*j + 0*k = 5*k - 21, 4*j - c*k + 1 = g for j.\n' | b'2\n' | b'Suppose c + 3 = 2*c. Let g be -1*0*3/9. Solve -3*j + 0*k = 5*k - 21, 4*j - c*k + 1 = g for j.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence weem when four letters picked without replacement from nevwnemceewnvm.\n' | b'2/1001\n' | b'Calculate prob of sequence weem when four letters picked without replacement from nevwnemceewnvm.\n' | b'2/1001\n' | deepmind/math_dataset |
b'Let u(x) = -x - 1. Suppose -l + 0*l + 37 = -t, -4*l + t + 142 = 0. Let b = -39 + l. Determine u(b).\n' | b'3\n' | b'Let u(x) = -x - 1. Suppose -l + 0*l + 37 = -t, -4*l + t + 142 = 0. Let b = -39 + l. Determine u(b).\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -41*k + 24*k = 1768. Let u = k + 108. Solve 0*a + 2*w = 4*a + u, 2*w - 4 = -2*a for a.\n' | b'0\n' | b'Suppose -41*k + 24*k = 1768. Let u = k + 108. Solve 0*a + 2*w = 4*a + u, 2*w - 4 = -2*a for a.\n' | b'0\n' | deepmind/math_dataset |
b'Let z be 2/(-10) + (-1504)/5. Let v = -211 - z. Let g be (-3)/5 - v/(-25). Solve j = -4*i + 5, -4*i - 10 = -g*j + 5 for j.\n' | b'5\n' | b'Let z be 2/(-10) + (-1504)/5. Let v = -211 - z. Let g be (-3)/5 - v/(-25). Solve j = -4*i + 5, -4*i - 10 = -g*j + 5 for j.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -16 - 7 = i - 5*g, -4*g = -20. Let d(z) = z**2 - 5*z - 2*z**i + 0*z. Let m be d(-5). Solve 2 - 5 = 2*y + n, m = 2*y + 3*n - 7 for y.\n' | b'-4\n' | b'Suppose -16 - 7 = i - 5*g, -4*g = -20. Let d(z) = z**2 - 5*z - 2*z**i + 0*z. Let m be d(-5). Solve 2 - 5 = 2*y + n, m = 2*y + 3*n - 7 for y.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence kqnn when four letters picked without replacement from qqqknqqqqqqqknnn?\n' | b'1/182\n' | b'What is prob of sequence kqnn when four letters picked without replacement from qqqknqqqqqqqknnn?\n' | b'1/182\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 5, x: 3, s: 1}. What is prob of sequence uus?\n' | b'5/126\n' | b'Three letters picked without replacement from {u: 5, x: 3, s: 1}. What is prob of sequence uus?\n' | b'5/126\n' | deepmind/math_dataset |
b'Simplify o/(o/((o*o**(2/5)*o)/o)*o)*o*o*o**3*o*(o**(-1/3)/o)**(2/9) assuming o is positive.\n' | b'o**(824/135)\n' | b'Simplify o/(o/((o*o**(2/5)*o)/o)*o)*o*o*o**3*o*(o**(-1/3)/o)**(2/9) assuming o is positive.\n' | b'o**(824/135)\n' | deepmind/math_dataset |
b'Suppose q - 12 = -2*f - 13, 3*q - 3*f = 15. Suppose 3*d = 2*m, -q*d - 43*m = -44*m - 3. Solve -2*y + 8 = -d*u - 4, 0 = 5*u + 20 for y.\n' | b'2\n' | b'Suppose q - 12 = -2*f - 13, 3*q - 3*f = 15. Suppose 3*d = 2*m, -q*d - 43*m = -44*m - 3. Solve -2*y + 8 = -d*u - 4, 0 = 5*u + 20 for y.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (b**(-17)/(b**9/b))**(-28) assuming b is positive.\n' | b'b**700\n' | b'Simplify (b**(-17)/(b**9/b))**(-28) assuming b is positive.\n' | b'b**700\n' | deepmind/math_dataset |
b'Simplify ((s**(-1)/s)**(-50))**(-14/11)/((s/s**(-2/21))/s**(1/2))**13 assuming s is positive.\n' | b's**(-62375/462)\n' | b'Simplify ((s**(-1)/s)**(-50))**(-14/11)/((s/s**(-2/21))/s**(1/2))**13 assuming s is positive.\n' | b's**(-62375/462)\n' | deepmind/math_dataset |
b'Let w = -117 - -192. Let f be (-2)/3*w/(-10). Solve 3*x = a - 14, f*a - 2*a - 2*x - 14 = 0 for a.\n' | b'2\n' | b'Let w = -117 - -192. Let f be (-2)/3*w/(-10). Solve 3*x = a - 14, f*a - 2*a - 2*x - 14 = 0 for a.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rxxrxruruuuxxx. What is prob of sequence rrr?\n' | b'1/91\n' | b'Three letters picked without replacement from rxxrxruruuuxxx. What is prob of sequence rrr?\n' | b'1/91\n' | deepmind/math_dataset |
b'Let a(i) = i**2 - 201*i + 597. Let r be a(3). Let g = -3 - 5. Let k = 15 + g. Solve 2*t - s + 5 + r = 0, 0 = -5*t - 4*s - k for t.\n' | b'-3\n' | b'Let a(i) = i**2 - 201*i + 597. Let r be a(3). Let g = -3 - 5. Let k = 15 + g. Solve 2*t - s + 5 + r = 0, 0 = -5*t - 4*s - k for t.\n' | b'-3\n' | deepmind/math_dataset |
b'Let z(l) be the second derivative of -23*l**5/5 + 7*l**3/6 + 1903*l**2/2 + 13201*l + 2. Differentiate z(s) with respect to s.\n' | b'-276*s**2 + 7\n' | b'Let z(l) be the second derivative of -23*l**5/5 + 7*l**3/6 + 1903*l**2/2 + 13201*l + 2. Differentiate z(s) with respect to s.\n' | b'-276*s**2 + 7\n' | deepmind/math_dataset |
b'Suppose -372*o = -382*o + 60. Let v(d) = 2*d**3 - 3*d**2 - 16*d + 11. Let j(i) = -i**3 + i**2 + 8*i - 5. Let c(g) = -7*j(g) - 4*v(g). What is c(o)?\n' | b'3\n' | b'Suppose -372*o = -382*o + 60. Let v(d) = 2*d**3 - 3*d**2 - 16*d + 11. Let j(i) = -i**3 + i**2 + 8*i - 5. Let c(g) = -7*j(g) - 4*v(g). What is c(o)?\n' | b'3\n' | deepmind/math_dataset |
b'Find the third derivative of 4*o - 4*o + 9*o**2 - 4*o**5 + 12*o**5 wrt o.\n' | b'480*o**2\n' | b'Find the third derivative of 4*o - 4*o + 9*o**2 - 4*o**5 + 12*o**5 wrt o.\n' | b'480*o**2\n' | deepmind/math_dataset |
b'Simplify ((g**(-2/7))**(-2/65))**33 assuming g is positive.\n' | b'g**(132/455)\n' | b'Simplify ((g**(-2/7))**(-2/65))**33 assuming g is positive.\n' | b'g**(132/455)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 2, r: 5}. What is prob of sequence rkrk?\n' | b'1/21\n' | b'Four letters picked without replacement from {k: 2, r: 5}. What is prob of sequence rkrk?\n' | b'1/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 5, q: 1, v: 5}. Give prob of sequence vq.\n' | b'1/22\n' | b'Two letters picked without replacement from {z: 5, q: 1, v: 5}. Give prob of sequence vq.\n' | b'1/22\n' | deepmind/math_dataset |
b'What is prob of picking 2 r and 2 o when four letters picked without replacement from {r: 2, w: 1, o: 3, s: 6}?\n' | b'1/165\n' | b'What is prob of picking 2 r and 2 o when four letters picked without replacement from {r: 2, w: 1, o: 3, s: 6}?\n' | b'1/165\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ataaaaataaiiaq. What is prob of picking 2 a and 1 t?\n' | b'18/91\n' | b'Three letters picked without replacement from ataaaaataaiiaq. What is prob of picking 2 a and 1 t?\n' | b'18/91\n' | deepmind/math_dataset |
b'Let d(f) be the first derivative of -19*f**5/5 + 13*f - 2. What is the first derivative of d(m) wrt m?\n' | b'-76*m**3\n' | b'Let d(f) be the first derivative of -19*f**5/5 + 13*f - 2. What is the first derivative of d(m) wrt m?\n' | b'-76*m**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 3, w: 7}. Give prob of sequence oow.\n' | b'7/120\n' | b'Three letters picked without replacement from {o: 3, w: 7}. Give prob of sequence oow.\n' | b'7/120\n' | deepmind/math_dataset |
b'Simplify (o**(-25)*o*o*o**(-1/7))**32 assuming o is positive.\n' | b'o**(-5184/7)\n' | b'Simplify (o**(-25)*o*o*o**(-1/7))**32 assuming o is positive.\n' | b'o**(-5184/7)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from rprcyry. Give prob of picking 2 y, 1 p, and 1 c.\n' | b'1/35\n' | b'Four letters picked without replacement from rprcyry. Give prob of picking 2 y, 1 p, and 1 c.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let b be 35 + 1 + 208/(-26). Solve -9*x = -5*x + 4*r + b, 4*r + 35 = -5*x for x.\n' | b'-7\n' | b'Let b be 35 + 1 + 208/(-26). Solve -9*x = -5*x + 4*r + b, 4*r + 35 = -5*x for x.\n' | b'-7\n' | deepmind/math_dataset |
b'Let h(k) = 2*k + 1. Let r = -12 - 6. Let n be (-3)/(-6) - r/4. Suppose -x - 8 = 2*l, -4*x = -0*l - l + n. Give h(l).\n' | b'-5\n' | b'Let h(k) = 2*k + 1. Let r = -12 - 6. Let n be (-3)/(-6) - r/4. Suppose -x - 8 = 2*l, -4*x = -0*l - l + n. Give h(l).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((t/(t/t**(2/7)))/t**(-4/7))/(t**(-1)/((t/((((t*t**(-1))/t)/t*t)/t)*t*t*t)/t)) assuming t is positive.\n' | b't**(48/7)\n' | b'Simplify ((t/(t/t**(2/7)))/t**(-4/7))/(t**(-1)/((t/((((t*t**(-1))/t)/t*t)/t)*t*t*t)/t)) assuming t is positive.\n' | b't**(48/7)\n' | deepmind/math_dataset |
b'Let k(n) = -5*n**2 - 1. Let d(w) = 3*w + 1. Let v be d(2). Let p = 8 - v. Determine k(p).\n' | b'-6\n' | b'Let k(n) = -5*n**2 - 1. Let d(w) = 3*w + 1. Let v be d(2). Let p = 8 - v. Determine k(p).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose 0 = 10*k - 12*k - 10. Let y(s) = -s**2 - s + 5. Determine y(k).\n' | b'-15\n' | b'Suppose 0 = 10*k - 12*k - 10. Let y(s) = -s**2 - s + 5. Determine y(k).\n' | b'-15\n' | deepmind/math_dataset |
b'Let o(u) = -2*u + 6. Let l be o(0). What is the third derivative of 3*q**l - 11*q**2 + 6*q**6 + 0*q**6 + 5*q**6 wrt q?\n' | b'1680*q**3\n' | b'Let o(u) = -2*u + 6. Let l be o(0). What is the third derivative of 3*q**l - 11*q**2 + 6*q**6 + 0*q**6 + 5*q**6 wrt q?\n' | b'1680*q**3\n' | deepmind/math_dataset |
b'Simplify b**(-1/6)*b**13*(b**4)**(-1/29) assuming b is positive.\n' | b'b**(2209/174)\n' | b'Simplify b**(-1/6)*b**13*(b**4)**(-1/29) assuming b is positive.\n' | b'b**(2209/174)\n' | deepmind/math_dataset |
b'Calculate prob of sequence nbqh when four letters picked without replacement from {b: 2, z: 1, n: 1, q: 3, h: 3}.\n' | b'1/280\n' | b'Calculate prob of sequence nbqh when four letters picked without replacement from {b: 2, z: 1, n: 1, q: 3, h: 3}.\n' | b'1/280\n' | deepmind/math_dataset |
b'What is prob of picking 3 h when three letters picked without replacement from {h: 3, o: 9}?\n' | b'1/220\n' | b'What is prob of picking 3 h when three letters picked without replacement from {h: 3, o: 9}?\n' | b'1/220\n' | deepmind/math_dataset |
b'Let a(x) be the second derivative of 117*x**5/2 - 481*x**3/6 + 1721*x. Find the second derivative of a(f) wrt f.\n' | b'7020*f\n' | b'Let a(x) be the second derivative of 117*x**5/2 - 481*x**3/6 + 1721*x. Find the second derivative of a(f) wrt f.\n' | b'7020*f\n' | deepmind/math_dataset |
b'Suppose -5*k = -2*f - 4, 14 = 2*f + 4*k - 0*k. Find the third derivative of -w**6 - 2*w**6 + f*w**2 + 6*w**6 wrt w.\n' | b'360*w**3\n' | b'Suppose -5*k = -2*f - 4, 14 = 2*f + 4*k - 0*k. Find the third derivative of -w**6 - 2*w**6 + f*w**2 + 6*w**6 wrt w.\n' | b'360*w**3\n' | deepmind/math_dataset |
b'Let c be (9 + -6)/((-3)/20). Suppose -4*w = -4 + 92. Let b = c - w. Solve -3*k + 3*g - g = -b, 3*g = 5*k - 5 for k.\n' | b'4\n' | b'Let c be (9 + -6)/((-3)/20). Suppose -4*w = -4 + 92. Let b = c - w. Solve -3*k + 3*g - g = -b, 3*g = 5*k - 5 for k.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -r - t + 19 = -3*t, 4 = -4*t. Let x = -13 + r. Let h(k) = -k**2 + 5*k - 2. Let d be h(x). Solve 2*v = 2*p - 6, 0 = 4*p - d*v - 0 - 4 for p.\n' | b'-1\n' | b'Suppose -r - t + 19 = -3*t, 4 = -4*t. Let x = -13 + r. Let h(k) = -k**2 + 5*k - 2. Let d be h(x). Solve 2*v = 2*p - 6, 0 = 4*p - d*v - 0 - 4 for p.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (o**(-28/5)/o**44)/(o**4)**18 assuming o is positive.\n' | b'o**(-608/5)\n' | b'Simplify (o**(-28/5)/o**44)/(o**4)**18 assuming o is positive.\n' | b'o**(-608/5)\n' | deepmind/math_dataset |
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