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'Suppose -2*t + 22 = 3*g, -4*g + 0*g + 31 = 3*t. Let c(p) = -4*p + 4*p - t*p + 3*p - 2. Calculate c(2).\n' | b'-6\n' | b'Suppose -2*t + 22 = 3*g, -4*g + 0*g + 31 = 3*t. Let c(p) = -4*p + 4*p - t*p + 3*p - 2. Calculate c(2).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify i**30/i**(-5) assuming i is positive.\n' | b'i**35\n' | b'Simplify i**30/i**(-5) assuming i is positive.\n' | b'i**35\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 h when three letters picked without replacement from yhyahayayaayyah.\n' | b'1/455\n' | b'Calculate prob of picking 3 h when three letters picked without replacement from yhyahayayaayyah.\n' | b'1/455\n' | deepmind/math_dataset |
b'Let m(x) = -x**2 - 9*x + 2. Suppose -2*p - 13 - 1 = 0. What is m(p)?\n' | b'16\n' | b'Let m(x) = -x**2 - 9*x + 2. Suppose -2*p - 13 - 1 = 0. What is m(p)?\n' | b'16\n' | deepmind/math_dataset |
b'Let u(w) be the second derivative of 19*w**8/56 - 8*w**7/21 + 10*w**4/3 - 599*w. Find the third derivative of u(c) wrt c.\n' | b'2280*c**3 - 960*c**2\n' | b'Let u(w) be the second derivative of 19*w**8/56 - 8*w**7/21 + 10*w**4/3 - 599*w. Find the third derivative of u(c) wrt c.\n' | b'2280*c**3 - 960*c**2\n' | deepmind/math_dataset |
b'Simplify (m**(-4))**(-8)/((m*m**16)/m**22) assuming m is positive.\n' | b'm**37\n' | b'Simplify (m**(-4))**(-8)/((m*m**16)/m**22) assuming m is positive.\n' | b'm**37\n' | deepmind/math_dataset |
b'Let h(s) = s**2 + 6*s - 66. Let z be h(-12). Let y be (z + -1)/(((-15)/(-2))/3). Solve 4*m + 4 = -4*f, 4*m - 2*f - y = 3*m for m.\n' | b'0\n' | b'Let h(s) = s**2 + 6*s - 66. Let z be h(-12). Let y be (z + -1)/(((-15)/(-2))/3). Solve 4*m + 4 = -4*f, 4*m - 2*f - y = 3*m for m.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 0 = -2*i + 3 + 1. Suppose -4*x + 4 = 0, -2*u + 7*u - i*x - 38 = 0. Solve 7 = -3*v + u*v + 2*a, -3*v = 3*a - 6 for v.\n' | b'1\n' | b'Suppose 0 = -2*i + 3 + 1. Suppose -4*x + 4 = 0, -2*u + 7*u - i*x - 38 = 0. Solve 7 = -3*v + u*v + 2*a, -3*v = 3*a - 6 for v.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vwlwwbvwwbwbvwwlbww. Give prob of picking 1 l, 1 w, 1 v, and 1 b.\n' | b'20/323\n' | b'Four letters picked without replacement from vwlwwbvwwbwbvwwlbww. Give prob of picking 1 l, 1 w, 1 v, and 1 b.\n' | b'20/323\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 3, m: 1, j: 3, r: 1, d: 2, q: 3}. What is prob of sequence tdmt?\n' | b'1/1430\n' | b'Four letters picked without replacement from {t: 3, m: 1, j: 3, r: 1, d: 2, q: 3}. What is prob of sequence tdmt?\n' | b'1/1430\n' | deepmind/math_dataset |
b'Let y = -5 + 22. Solve -3*v + 6 - y = -r, 2*v + 26 = -4*r for r.\n' | b'-4\n' | b'Let y = -5 + 22. Solve -3*v + 6 - y = -r, 2*v + 26 = -4*r for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (p**(4/5)/(p*((p/p**(-6))/p*p)/p*p)*(p*(p**(-1/5)/p)/p)/p*p**(-11))**(-48) assuming p is positive.\n' | b'p**(4896/5)\n' | b'Simplify (p**(4/5)/(p*((p/p**(-6))/p*p)/p*p)*(p*(p**(-1/5)/p)/p)/p*p**(-11))**(-48) assuming p is positive.\n' | b'p**(4896/5)\n' | deepmind/math_dataset |
b'Suppose -12 - 2 = -2*l - p, -l - 4 = -5*p. Let v = l - 8. Let g be 1 + -2 + 2 - v. Solve 0 = -4*n - g*d + 12 + 1, -d = 1 for n.\n' | b'4\n' | b'Suppose -12 - 2 = -2*l - p, -l - 4 = -5*p. Let v = l - 8. Let g be 1 + -2 + 2 - v. Solve 0 = -4*n - g*d + 12 + 1, -d = 1 for n.\n' | b'4\n' | deepmind/math_dataset |
b'Let l(s) = 2*s**3 + 2*s**2 - 3*s - 3. Suppose -3*y + 2 = -4*t, 3*y = 5*y + 4*t + 12. Determine l(y).\n' | b'-5\n' | b'Let l(s) = 2*s**3 + 2*s**2 - 3*s - 3. Suppose -3*y + 2 = -4*t, 3*y = 5*y + 4*t + 12. Determine l(y).\n' | b'-5\n' | deepmind/math_dataset |
b'Let w(d) = 2*d - 10. Let v be w(6). What is the first derivative of 580 - 4*u**v - 627 + 13*u**3 - u**3 wrt u?\n' | b'36*u**2 - 8*u\n' | b'Let w(d) = 2*d - 10. Let v be w(6). What is the first derivative of 580 - 4*u**v - 627 + 13*u**3 - u**3 wrt u?\n' | b'36*u**2 - 8*u\n' | deepmind/math_dataset |
b'Let u(z) be the third derivative of z**8/336 - 29*z**5/60 + 23*z**4/4 + 90*z**2. What is the second derivative of u(r) wrt r?\n' | b'20*r**3 - 58\n' | b'Let u(z) be the third derivative of z**8/336 - 29*z**5/60 + 23*z**4/4 + 90*z**2. What is the second derivative of u(r) wrt r?\n' | b'20*r**3 - 58\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l, 1 a, and 1 f when three letters picked without replacement from uvluuaf.\n' | b'1/35\n' | b'Calculate prob of picking 1 l, 1 a, and 1 f when three letters picked without replacement from uvluuaf.\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose 360 = -19*y + 56. Let d(h) = 4*h + 81. Let i be d(y). Solve 5*p - 4*b - i = 2*p, 0 = 2*b + 4 for p.\n' | b'3\n' | b'Suppose 360 = -19*y + 56. Let d(h) = 4*h + 81. Let i be d(y). Solve 5*p - 4*b - i = 2*p, 0 = 2*b + 4 for p.\n' | b'3\n' | deepmind/math_dataset |
b'Let m = -3 - -3. Suppose 8*b - 21 = -5. Solve f + 3*v + 15 = m, b*f = -0*f - 2*v - 10 for f.\n' | b'0\n' | b'Let m = -3 - -3. Suppose 8*b - 21 = -5. Solve f + 3*v + 15 = m, b*f = -0*f - 2*v - 10 for f.\n' | b'0\n' | deepmind/math_dataset |
b'Let z(v) = -v + 7. Let s be z(7). Let q(o) = o + s*o + 19 - 17. Suppose 2 = -3*g - 4. Determine q(g).\n' | b'0\n' | b'Let z(v) = -v + 7. Let s be z(7). Let q(o) = o + s*o + 19 - 17. Suppose 2 = -3*g - 4. Determine q(g).\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 1 h and 2 t when three letters picked without replacement from {z: 5, v: 3, t: 8, k: 1, h: 2, i: 1}?\n' | b'14/285\n' | b'What is prob of picking 1 h and 2 t when three letters picked without replacement from {z: 5, v: 3, t: 8, k: 1, h: 2, i: 1}?\n' | b'14/285\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rzzziizzrizzzzz. What is prob of picking 1 r and 1 z?\n' | b'4/21\n' | b'Two letters picked without replacement from rzzziizzrizzzzz. What is prob of picking 1 r and 1 z?\n' | b'4/21\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 1, t: 2, k: 1, u: 1, r: 4}. Give prob of sequence uor.\n' | b'1/126\n' | b'Three letters picked without replacement from {o: 1, t: 2, k: 1, u: 1, r: 4}. Give prob of sequence uor.\n' | b'1/126\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qhlvvghxvlqhlhvlvq. Give prob of picking 1 q, 1 x, and 1 h.\n' | b'1/68\n' | b'Three letters picked without replacement from qhlvvghxvlqhlhvlvq. Give prob of picking 1 q, 1 x, and 1 h.\n' | b'1/68\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wcrrhcrjwhcg. What is prob of sequence ghjw?\n' | b'1/2970\n' | b'Four letters picked without replacement from wcrrhcrjwhcg. What is prob of sequence ghjw?\n' | b'1/2970\n' | deepmind/math_dataset |
b'Calculate prob of sequence phhp when four letters picked without replacement from {i: 3, p: 2, h: 3}.\n' | b'1/140\n' | b'Calculate prob of sequence phhp when four letters picked without replacement from {i: 3, p: 2, h: 3}.\n' | b'1/140\n' | deepmind/math_dataset |
b'Let s(p) be the first derivative of 57/2*p**4 - 22*p**3 + 0*p + p**2 + 271 - 2/5*p**5. Find the third derivative of s(m) wrt m.\n' | b'-48*m + 684\n' | b'Let s(p) be the first derivative of 57/2*p**4 - 22*p**3 + 0*p + p**2 + 271 - 2/5*p**5. Find the third derivative of s(m) wrt m.\n' | b'-48*m + 684\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ydppkdyyykppkdpppedn. Give prob of picking 1 e and 2 y.\n' | b'1/190\n' | b'Three letters picked without replacement from ydppkdyyykppkdpppedn. Give prob of picking 1 e and 2 y.\n' | b'1/190\n' | deepmind/math_dataset |
b'Let h(u) be the second derivative of 83*u**6/10 + 61*u**4/12 + 31*u + 3. Find the third derivative of h(c) wrt c.\n' | b'5976*c\n' | b'Let h(u) be the second derivative of 83*u**6/10 + 61*u**4/12 + 31*u + 3. Find the third derivative of h(c) wrt c.\n' | b'5976*c\n' | deepmind/math_dataset |
b'Simplify (((v/v**(-3/5)*v*v)/(v**(2/17)*v))/(((v*v**(-7))/v)/v**0))/(v**(-1/3)*v**0*v**3*v**7) assuming v is positive.\n' | b'v**(-47/255)\n' | b'Simplify (((v/v**(-3/5)*v*v)/(v**(2/17)*v))/(((v*v**(-7))/v)/v**0))/(v**(-1/3)*v**0*v**3*v**7) assuming v is positive.\n' | b'v**(-47/255)\n' | deepmind/math_dataset |
b'Simplify (t**(-24/7)*t*t*t**(2/17)*t)/(((t**(-6/7)*t)/t*t)/t)**(-3/10) assuming t is positive.\n' | b't**(-338/595)\n' | b'Simplify (t**(-24/7)*t*t*t**(2/17)*t)/(((t**(-6/7)*t)/t*t)/t)**(-3/10) assuming t is positive.\n' | b't**(-338/595)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 3, y: 2, n: 5}. What is prob of picking 2 y and 2 h?\n' | b'1/70\n' | b'Four letters picked without replacement from {h: 3, y: 2, n: 5}. What is prob of picking 2 y and 2 h?\n' | b'1/70\n' | deepmind/math_dataset |
b'Let r(j) = j + 1. Suppose -4*d - 29*w + 16 = -32*w, 0 = -5*d + w + 20. Give r(d).\n' | b'5\n' | b'Let r(j) = j + 1. Suppose -4*d - 29*w + 16 = -32*w, 0 = -5*d + w + 20. Give r(d).\n' | b'5\n' | deepmind/math_dataset |
b'Let b(u) be the second derivative of -15*u + 1/4*u**4 + 0*u**3 + 1/2*u**2 + 0. Differentiate b(k) with respect to k.\n' | b'6*k\n' | b'Let b(u) be the second derivative of -15*u + 1/4*u**4 + 0*u**3 + 1/2*u**2 + 0. Differentiate b(k) with respect to k.\n' | b'6*k\n' | deepmind/math_dataset |
b'What is the third derivative of 6*c + 3544*c**4 + 0*c + 6*c**2 - 3726*c**4 wrt c?\n' | b'-4368*c\n' | b'What is the third derivative of 6*c + 3544*c**4 + 0*c + 6*c**2 - 3726*c**4 wrt c?\n' | b'-4368*c\n' | deepmind/math_dataset |
b'What is prob of picking 1 a, 1 l, and 1 x when three letters picked without replacement from {r: 2, x: 3, a: 1, n: 2, c: 2, l: 2}?\n' | b'3/110\n' | b'What is prob of picking 1 a, 1 l, and 1 x when three letters picked without replacement from {r: 2, x: 3, a: 1, n: 2, c: 2, l: 2}?\n' | b'3/110\n' | deepmind/math_dataset |
b'Let c(a) = 3*a - 11. Let g = -63 - -68. Let v be c(g). Find the third derivative of -10*u**4 - 8*u**v + 25*u**2 - 16*u**4 + 16*u**4 wrt u.\n' | b'-432*u\n' | b'Let c(a) = 3*a - 11. Let g = -63 - -68. Let v be c(g). Find the third derivative of -10*u**4 - 8*u**v + 25*u**2 - 16*u**4 + 16*u**4 wrt u.\n' | b'-432*u\n' | deepmind/math_dataset |
b'Let u(l) = -16*l**2 - 21*l + 31. Let b(o) = -3*o**2 - 4*o + 6. Let a(n) = -11*b(n) + 2*u(n). Suppose -z + 281 - 276 = 0, -2*z + 1 = -3*q. What is a(q)?\n' | b'11\n' | b'Let u(l) = -16*l**2 - 21*l + 31. Let b(o) = -3*o**2 - 4*o + 6. Let a(n) = -11*b(n) + 2*u(n). Suppose -z + 281 - 276 = 0, -2*z + 1 = -3*q. What is a(q)?\n' | b'11\n' | deepmind/math_dataset |
b'Let s(c) = 2*c. Let k(h) be the second derivative of h**5/20 + h**4/4 + 2*h**3/3 + h**2 - h. Let d be k(-3). Let p = -7 - d. What is s(p)?\n' | b'6\n' | b'Let s(c) = 2*c. Let k(h) be the second derivative of h**5/20 + h**4/4 + 2*h**3/3 + h**2 - h. Let d be k(-3). Let p = -7 - d. What is s(p)?\n' | b'6\n' | deepmind/math_dataset |
b'Let c(w) = -w**2 - 2*w + 3. Let m be 9*((-2)/(-6) + 0)*1. Give c(m).\n' | b'-12\n' | b'Let c(w) = -w**2 - 2*w + 3. Let m be 9*((-2)/(-6) + 0)*1. Give c(m).\n' | b'-12\n' | deepmind/math_dataset |
b'Let x(t) be the first derivative of -37/5*t**5 - 3/2*t**2 + 0*t**3 + 13 + 0*t**4 - 17*t. Find the second derivative of x(f) wrt f.\n' | b'-444*f**2\n' | b'Let x(t) be the first derivative of -37/5*t**5 - 3/2*t**2 + 0*t**3 + 13 + 0*t**4 - 17*t. Find the second derivative of x(f) wrt f.\n' | b'-444*f**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xjxtddqxttqdqdddxx. Give prob of sequence xd.\n' | b'5/51\n' | b'Two letters picked without replacement from xjxtddqxttqdqdddxx. Give prob of sequence xd.\n' | b'5/51\n' | deepmind/math_dataset |
b'What is prob of picking 2 o and 2 x when four letters picked without replacement from ooxox?\n' | b'3/5\n' | b'What is prob of picking 2 o and 2 x when four letters picked without replacement from ooxox?\n' | b'3/5\n' | deepmind/math_dataset |
b'Suppose -4*f - 8*x + 3*x = 7, 0 = -3*x - 9. Solve -f*y = -u - 3, -2*y + 4*y - 3*u = 9 for y.\n' | b'0\n' | b'Suppose -4*f - 8*x + 3*x = 7, 0 = -3*x - 9. Solve -f*y = -u - 3, -2*y + 4*y - 3*u = 9 for y.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((v**(1/3))**0/(v/v**1)**(-1/32))/(v**6/((v**5/v)/v)*v**5*v/v**(2/23)) assuming v is positive.\n' | b'v**(-205/23)\n' | b'Simplify ((v**(1/3))**0/(v/v**1)**(-1/32))/(v**6/((v**5/v)/v)*v**5*v/v**(2/23)) assuming v is positive.\n' | b'v**(-205/23)\n' | deepmind/math_dataset |
b'Let k = 91 + -56. Let v = k - 43. Let j(f) = -2*f - 11. Calculate j(v).\n' | b'5\n' | b'Let k = 91 + -56. Let v = k - 43. Let j(f) = -2*f - 11. Calculate j(v).\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 s and 2 p when four letters picked without replacement from shmmppmsppphxzh.\n' | b'2/273\n' | b'Calculate prob of picking 2 s and 2 p when four letters picked without replacement from shmmppmsppphxzh.\n' | b'2/273\n' | deepmind/math_dataset |
b'Find the second derivative of -15*s**3 + 247*s**2 + 109*s - s**3 - 248*s**2 wrt s.\n' | b'-96*s - 2\n' | b'Find the second derivative of -15*s**3 + 247*s**2 + 109*s - s**3 - 248*s**2 wrt s.\n' | b'-96*s - 2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 4, i: 15}. What is prob of sequence ii?\n' | b'35/57\n' | b'Two letters picked without replacement from {r: 4, i: 15}. What is prob of sequence ii?\n' | b'35/57\n' | deepmind/math_dataset |
b'Simplify (((r**(-2)/r**(-6))**(-47))**(-38))**11 assuming r is positive.\n' | b'r**78584\n' | b'Simplify (((r**(-2)/r**(-6))**(-47))**(-38))**11 assuming r is positive.\n' | b'r**78584\n' | deepmind/math_dataset |
b'Simplify d**(-2/59)*d*d**(-2/21)*d assuming d is positive.\n' | b'd**(2318/1239)\n' | b'Simplify d**(-2/59)*d*d**(-2/21)*d assuming d is positive.\n' | b'd**(2318/1239)\n' | deepmind/math_dataset |
b'What is prob of sequence zkzz when four letters picked without replacement from zzzzzzkzbkzzbbkzzz?\n' | b'11/204\n' | b'What is prob of sequence zkzz when four letters picked without replacement from zzzzzzkzbkzzbbkzzz?\n' | b'11/204\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 2, w: 2, c: 10}. Give prob of sequence cfwc.\n' | b'15/1001\n' | b'Four letters picked without replacement from {f: 2, w: 2, c: 10}. Give prob of sequence cfwc.\n' | b'15/1001\n' | deepmind/math_dataset |
b'Let w(t) = 2*t**4 + t**3 + t. Let o(v) = -4*v**6 + 6*v**4 + 6*v**3 + 4*v**2 + 14*v. Let z(y) = -o(y) + 3*w(y). Find the third derivative of z(c) wrt c.\n' | b'480*c**3 - 18\n' | b'Let w(t) = 2*t**4 + t**3 + t. Let o(v) = -4*v**6 + 6*v**4 + 6*v**3 + 4*v**2 + 14*v. Let z(y) = -o(y) + 3*w(y). Find the third derivative of z(c) wrt c.\n' | b'480*c**3 - 18\n' | deepmind/math_dataset |
b'Let t(n) be the second derivative of 5*n**4/12 + n**3/6 - n**2/2 + 53*n. Calculate t(1).\n' | b'5\n' | b'Let t(n) be the second derivative of 5*n**4/12 + n**3/6 - n**2/2 + 53*n. Calculate t(1).\n' | b'5\n' | deepmind/math_dataset |
b'Let k(q) = -56*q**3 + 3*q**2 - 5*q + 334. Let d(t) = 111*t**3 - 5*t**2 + 9*t - 670. Let o(z) = -4*d(z) - 7*k(z). What is the second derivative of o(x) wrt x?\n' | b'-312*x - 2\n' | b'Let k(q) = -56*q**3 + 3*q**2 - 5*q + 334. Let d(t) = 111*t**3 - 5*t**2 + 9*t - 670. Let o(z) = -4*d(z) - 7*k(z). What is the second derivative of o(x) wrt x?\n' | b'-312*x - 2\n' | deepmind/math_dataset |
b'Let p(r) = -r**2 - 7*r - 7. Let i be p(-5). What is the third derivative of o**3 + o**i + 4*o**2 - 2*o**2 wrt o?\n' | b'12\n' | b'Let p(r) = -r**2 - 7*r - 7. Let i be p(-5). What is the third derivative of o**3 + o**i + 4*o**2 - 2*o**2 wrt o?\n' | b'12\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kvkvkkkjkvvkvvki. Give prob of sequence ivk.\n' | b'1/70\n' | b'Three letters picked without replacement from kvkvkkkjkvvkvvki. Give prob of sequence ivk.\n' | b'1/70\n' | deepmind/math_dataset |
b'Simplify y**(-7)*y*y**5*y*y*y*y**6*y*y**5*y assuming y is positive.\n' | b'y**15\n' | b'Simplify y**(-7)*y*y**5*y*y*y*y**6*y*y**5*y assuming y is positive.\n' | b'y**15\n' | deepmind/math_dataset |
b'What is the second derivative of 8 + 160*y**5 - 2*y + 218*y**5 + 5 + 6*y wrt y?\n' | b'7560*y**3\n' | b'What is the second derivative of 8 + 160*y**5 - 2*y + 218*y**5 + 5 + 6*y wrt y?\n' | b'7560*y**3\n' | deepmind/math_dataset |
b'Differentiate 10 + 132609348*o - 339 - 132609364*o + 88*o**2 with respect to o.\n' | b'176*o - 16\n' | b'Differentiate 10 + 132609348*o - 339 - 132609364*o + 88*o**2 with respect to o.\n' | b'176*o - 16\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wssswtzhs. Give prob of picking 1 w, 1 h, and 1 z.\n' | b'1/42\n' | b'Three letters picked without replacement from wssswtzhs. Give prob of picking 1 w, 1 h, and 1 z.\n' | b'1/42\n' | deepmind/math_dataset |
b'Let g(n) be the first derivative of -n**3 + n**2 - 54*n - 86. Differentiate g(w) with respect to w.\n' | b'-6*w + 2\n' | b'Let g(n) be the first derivative of -n**3 + n**2 - 54*n - 86. Differentiate g(w) with respect to w.\n' | b'-6*w + 2\n' | deepmind/math_dataset |
b'Let t(f) = -8*f**2 + f. Let u = 47 + -49. Calculate t(u).\n' | b'-34\n' | b'Let t(f) = -8*f**2 + f. Let u = 47 + -49. Calculate t(u).\n' | b'-34\n' | deepmind/math_dataset |
b'Simplify (d**(-1)/d**(-15/4))/(d**(2/19))**31 assuming d is positive.\n' | b'd**(-39/76)\n' | b'Simplify (d**(-1)/d**(-15/4))/(d**(2/19))**31 assuming d is positive.\n' | b'd**(-39/76)\n' | deepmind/math_dataset |
b'Let g = -12 + 5. Let j be (-2)/(-2) + (-5 - g). Solve -4*u - 2*r - 28 = -6*r, 3*u = -j*r - 3 for u.\n' | b'-4\n' | b'Let g = -12 + 5. Let j be (-2)/(-2) + (-5 - g). Solve -4*u - 2*r - 28 = -6*r, 3*u = -j*r - 3 for u.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 1 w when two letters picked without replacement from saowwfd?\n' | b'2/21\n' | b'What is prob of picking 1 s and 1 w when two letters picked without replacement from saowwfd?\n' | b'2/21\n' | deepmind/math_dataset |
b'Let p(q) = q**3 + 72*q**2 - 381*q + 327. Let w be p(-77). Solve 17*b + 17 = 5*j + w*b, -4*b = -5*j + 11 for j.\n' | b'3\n' | b'Let p(q) = q**3 + 72*q**2 - 381*q + 327. Let w be p(-77). Solve 17*b + 17 = 5*j + w*b, -4*b = -5*j + 11 for j.\n' | b'3\n' | deepmind/math_dataset |
b'Let f(l) be the first derivative of -l**2/2 - 6. Calculate f(-4).\n' | b'4\n' | b'Let f(l) be the first derivative of -l**2/2 - 6. Calculate f(-4).\n' | b'4\n' | deepmind/math_dataset |
b'Let n = 589 + -586. Solve n = -3*v + 6, -2*b - 2*v = 0 for b.\n' | b'-1\n' | b'Let n = 589 + -586. Solve n = -3*v + 6, -2*b - 2*v = 0 for b.\n' | b'-1\n' | deepmind/math_dataset |
b'Let w(u) = -u**3 - 66*u**2 + 201*u - 412. Let b be w(-69). Let q(r) be the first derivative of 24 - 2*r**3 + 6*r + 2*r**b + 1/4*r**4. Give q(5).\n' | b'1\n' | b'Let w(u) = -u**3 - 66*u**2 + 201*u - 412. Let b be w(-69). Let q(r) be the first derivative of 24 - 2*r**3 + 6*r + 2*r**b + 1/4*r**4. Give q(5).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (((t/(t*t*t**1/t*t))/t)**(-44))**27/(t/(t/(t/t**1))*t**10*t)**(-43) assuming t is positive.\n' | b't**4037\n' | b'Simplify (((t/(t*t*t**1/t*t))/t)**(-44))**27/(t/(t/(t/t**1))*t**10*t)**(-43) assuming t is positive.\n' | b't**4037\n' | deepmind/math_dataset |
b'Let k(a) = -7*a - 189. Suppose -4*p + 118 = -4*d + 10, 5*d = -3*p - 135. Give k(d).\n' | b'0\n' | b'Let k(a) = -7*a - 189. Suppose -4*p + 118 = -4*d + 10, 5*d = -3*p - 135. Give k(d).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -9*y - 240 = -5*y. Let a = 64 + y. Solve -2*j = a*p + 4, -5*p - 12 - 2 = -2*j for p.\n' | b'-2\n' | b'Suppose -9*y - 240 = -5*y. Let a = 64 + y. Solve -2*j = a*p + 4, -5*p - 12 - 2 = -2*j for p.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence bsss when four letters picked without replacement from {m: 2, p: 1, s: 5, b: 5, e: 3}.\n' | b'5/728\n' | b'Calculate prob of sequence bsss when four letters picked without replacement from {m: 2, p: 1, s: 5, b: 5, e: 3}.\n' | b'5/728\n' | deepmind/math_dataset |
b'Simplify (((o*o/(o/o**1))/o)**(-7/8)/(o**(-1)*o*o/o**8))**44 assuming o is positive.\n' | b'o**(539/2)\n' | b'Simplify (((o*o/(o/o**1))/o)**(-7/8)/(o**(-1)*o*o/o**8))**44 assuming o is positive.\n' | b'o**(539/2)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ggggkgkgnnkggggkkk. Give prob of picking 1 g and 2 k.\n' | b'25/136\n' | b'Three letters picked without replacement from ggggkgkgnnkggggkkk. Give prob of picking 1 g and 2 k.\n' | b'25/136\n' | deepmind/math_dataset |
b'Let u(p) be the first derivative of -p**2/2 + p - 2. Let o(n) = n**2 + 6*n - 1. Suppose 1 = i + 6. Let f be o(i). Give u(f).\n' | b'7\n' | b'Let u(p) be the first derivative of -p**2/2 + p - 2. Let o(n) = n**2 + 6*n - 1. Suppose 1 = i + 6. Let f be o(i). Give u(f).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify ((x*x/(x*x**13))/(x*x*x/x**(-3/5)*x))/(((x/(x/((x*x**8*x)/x)))/x)/(x*x/(x**(-13)*x))) assuming x is positive.\n' | b'x**(-53/5)\n' | b'Simplify ((x*x/(x*x**13))/(x*x*x/x**(-3/5)*x))/(((x/(x/((x*x**8*x)/x)))/x)/(x*x/(x**(-13)*x))) assuming x is positive.\n' | b'x**(-53/5)\n' | deepmind/math_dataset |
b'Simplify (t/(t**(-4/5)/t*t))**6*t**18*(t/t**(-5))/t assuming t is positive.\n' | b't**(169/5)\n' | b'Simplify (t/(t**(-4/5)/t*t))**6*t**18*(t/t**(-5))/t assuming t is positive.\n' | b't**(169/5)\n' | deepmind/math_dataset |
b'Simplify ((p**7*p)**(2/23)/(p**(7/6)/p*p**(-4/19)))**(-6/13) assuming p is positive.\n' | b'p**(-1939/5681)\n' | b'Simplify ((p**7*p)**(2/23)/(p**(7/6)/p*p**(-4/19)))**(-6/13) assuming p is positive.\n' | b'p**(-1939/5681)\n' | deepmind/math_dataset |
b'Calculate prob of sequence dl when two letters picked without replacement from dlldlddldlldd.\n' | b'7/26\n' | b'Calculate prob of sequence dl when two letters picked without replacement from dlldlddldlldd.\n' | b'7/26\n' | deepmind/math_dataset |
b'What is prob of sequence zmmm when four letters picked without replacement from tyzmtytmymxxmmz?\n' | b'1/273\n' | b'What is prob of sequence zmmm when four letters picked without replacement from tyzmtytmymxxmmz?\n' | b'1/273\n' | deepmind/math_dataset |
b'Let i(c) be the second derivative of 1/20*c**5 + 1/6*c**3 + 0*c**2 + 0*c**4 + 0 - 30*c. Let m be (5/10)/((-2)/4). Determine i(m).\n' | b'-2\n' | b'Let i(c) be the second derivative of 1/20*c**5 + 1/6*c**3 + 0*c**2 + 0*c**4 + 0 - 30*c. Let m be (5/10)/((-2)/4). Determine i(m).\n' | b'-2\n' | deepmind/math_dataset |
b'Let i(b) = b - 3. Suppose -2 = -4*m + 5*c + 19, 5*m = -5*c + 15. Determine i(m).\n' | b'1\n' | b'Let i(b) = b - 3. Suppose -2 = -4*m + 5*c + 19, 5*m = -5*c + 15. Determine i(m).\n' | b'1\n' | deepmind/math_dataset |
b'Let m(u) = u - 21. Let y be m(25). Solve 5*o = -5*s, -o + 2*s - y = 4*s for o.\n' | b'4\n' | b'Let m(u) = u - 21. Let y be m(25). Solve 5*o = -5*s, -o + 2*s - y = 4*s for o.\n' | b'4\n' | deepmind/math_dataset |
b'Let l = 8 + -3. Suppose 2*w + 1 = -3*f, 0 = f + 4*w + 20 - 3. Suppose -l*a + 7 = -f. Solve -2*d + y = 10, 2*d + 4*y = a*y - 10 for d.\n' | b'-5\n' | b'Let l = 8 + -3. Suppose 2*w + 1 = -3*f, 0 = f + 4*w + 20 - 3. Suppose -l*a + 7 = -f. Solve -2*d + y = 10, 2*d + 4*y = a*y - 10 for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Let u be (-8)/(3*(-6)/9). Let o be 1 + 2 + -1 + 2. Suppose -o*s = -2*r + 4*r - 60, 3*s + 32 = 2*r. Solve -r = 5*l - u*y, -l - 5*y = -1 - 12 for l.\n' | b'-2\n' | b'Let u be (-8)/(3*(-6)/9). Let o be 1 + 2 + -1 + 2. Suppose -o*s = -2*r + 4*r - 60, 3*s + 32 = 2*r. Solve -r = 5*l - u*y, -l - 5*y = -1 - 12 for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (b**(-3/5)/b**(-7))**27/(b**(1/3)*b*b**(-4)*b**(-1/2)/b*b**(-2)) assuming b is positive.\n' | b'b**(5369/30)\n' | b'Simplify (b**(-3/5)/b**(-7))**27/(b**(1/3)*b*b**(-4)*b**(-1/2)/b*b**(-2)) assuming b is positive.\n' | b'b**(5369/30)\n' | deepmind/math_dataset |
b'Let v(i) = -i**2 - 21*i + 27. Let z be v(-17). Let t = z - 92. Solve 0 = t*l - 4*l - 2*a, -2*a - 6 = 4*l for l.\n' | b'-2\n' | b'Let v(i) = -i**2 - 21*i + 27. Let z be v(-17). Let t = z - 92. Solve 0 = t*l - 4*l - 2*a, -2*a - 6 = 4*l for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (((t/((t**8*t)/t))/(t*t**(-9/2)))**(2/73))**(-4/3) assuming t is positive.\n' | b't**(28/219)\n' | b'Simplify (((t/((t**8*t)/t))/(t*t**(-9/2)))**(2/73))**(-4/3) assuming t is positive.\n' | b't**(28/219)\n' | deepmind/math_dataset |
b'Simplify v*v**(1/3)/v*v**(-2/17)*(v/v**9)/(v/v**(1/4)) assuming v is positive.\n' | b'v**(-1741/204)\n' | b'Simplify v*v**(1/3)/v*v**(-2/17)*(v/v**9)/(v/v**(1/4)) assuming v is positive.\n' | b'v**(-1741/204)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 6, o: 2, q: 2, x: 2}. What is prob of sequence qog?\n' | b'1/55\n' | b'Three letters picked without replacement from {g: 6, o: 2, q: 2, x: 2}. What is prob of sequence qog?\n' | b'1/55\n' | deepmind/math_dataset |
b'Calculate prob of sequence ad when two letters picked without replacement from aghlhdaaagaag.\n' | b'1/26\n' | b'Calculate prob of sequence ad when two letters picked without replacement from aghlhdaaagaag.\n' | b'1/26\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 1 f when two letters picked without replacement from kgfgfwwwfwffwggi.\n' | b'1/6\n' | b'Calculate prob of picking 1 g and 1 f when two letters picked without replacement from kgfgfwwwfwffwggi.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let r(g) = 32*g**3 + 14185*g**2 + 7*g - 16895. Let h(u) = -9*u**3 - 4728*u**2 - 2*u + 5628. Let p(s) = -7*h(s) - 2*r(s). What is the derivative of p(n) wrt n?\n' | b'-3*n**2 + 9452*n\n' | b'Let r(g) = 32*g**3 + 14185*g**2 + 7*g - 16895. Let h(u) = -9*u**3 - 4728*u**2 - 2*u + 5628. Let p(s) = -7*h(s) - 2*r(s). What is the derivative of p(n) wrt n?\n' | b'-3*n**2 + 9452*n\n' | deepmind/math_dataset |
b'Suppose -5*b = -3*b - 16. Let m = 12 + 4. Let c be (-5)/(-2)*m/b. Solve 0 = -2*q + 4*y - 4, -3*q + c*q - y + 1 = 0 for q.\n' | b'0\n' | b'Suppose -5*b = -3*b - 16. Let m = 12 + 4. Let c be (-5)/(-2)*m/b. Solve 0 = -2*q + 4*y - 4, -3*q + c*q - y + 1 = 0 for q.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify q**4/q**(-15) assuming q is positive.\n' | b'q**19\n' | b'Simplify q**4/q**(-15) assuming q is positive.\n' | b'q**19\n' | deepmind/math_dataset |
b'Simplify ((v/v**(-36))**(-2/103)/(v*v*v**19*v)**0)**5 assuming v is positive.\n' | b'v**(-370/103)\n' | b'Simplify ((v/v**(-36))**(-2/103)/(v*v*v**19*v)**0)**5 assuming v is positive.\n' | b'v**(-370/103)\n' | deepmind/math_dataset |
b'Let h(v) be the third derivative of -305*v**4/24 - 25*v**3 + 2*v**2 - 118. What is the derivative of h(q) wrt q?\n' | b'-305\n' | b'Let h(v) be the third derivative of -305*v**4/24 - 25*v**3 + 2*v**2 - 118. What is the derivative of h(q) wrt q?\n' | b'-305\n' | deepmind/math_dataset |
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