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 m(b) be the second derivative of -b**3/3 - 6*b**2 - 5*b. Let u be m(-8). Solve 2*j = -4*g - 4, u = g - j - 1 for g.\n' | b'1\n' | b'Let m(b) be the second derivative of -b**3/3 - 6*b**2 - 5*b. Let u be m(-8). Solve 2*j = -4*g - 4, u = g - j - 1 for g.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (((d/(d**(-3/5)*d))/(d*d/d**(-1/14)*d))**(2/3))**18 assuming d is positive.\n' | b'd**(-1038/35)\n' | b'Simplify (((d/(d**(-3/5)*d))/(d*d/d**(-1/14)*d))**(2/3))**18 assuming d is positive.\n' | b'd**(-1038/35)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hwwhhwwhhhww. Give prob of picking 2 w and 2 h.\n' | b'5/11\n' | b'Four letters picked without replacement from hwwhhwwhhhww. Give prob of picking 2 w and 2 h.\n' | b'5/11\n' | deepmind/math_dataset |
b'Simplify (((t**1*t)/t)/(t/(t/(t**(2/9)/t))))**27/((t*t/((t**1*t)/t))**0)**(-6) assuming t is positive.\n' | b't**48\n' | b'Simplify (((t**1*t)/t)/(t/(t/(t**(2/9)/t))))**27/((t*t/((t**1*t)/t))**0)**(-6) assuming t is positive.\n' | b't**48\n' | deepmind/math_dataset |
b'What is prob of sequence cc when two letters picked without replacement from {b: 5, y: 1, c: 5, k: 6}?\n' | b'5/68\n' | b'What is prob of sequence cc when two letters picked without replacement from {b: 5, y: 1, c: 5, k: 6}?\n' | b'5/68\n' | deepmind/math_dataset |
b'Let t(o) be the second derivative of -103*o**6/15 - 37*o**2 - 140*o + 1. Differentiate t(s) with respect to s.\n' | b'-824*s**3\n' | b'Let t(o) be the second derivative of -103*o**6/15 - 37*o**2 - 140*o + 1. Differentiate t(s) with respect to s.\n' | b'-824*s**3\n' | deepmind/math_dataset |
b'What is prob of sequence ug when two letters picked without replacement from puskygkp?\n' | b'1/56\n' | b'What is prob of sequence ug when two letters picked without replacement from puskygkp?\n' | b'1/56\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mmmumxlmxxlxlmuxh. Give prob of picking 1 u and 1 x.\n' | b'5/68\n' | b'Two letters picked without replacement from mmmumxlmxxlxlmuxh. Give prob of picking 1 u and 1 x.\n' | b'5/68\n' | deepmind/math_dataset |
b'Let o = 616 + -594. Solve -4*c - 4 + 30 = -5*v, -v = -5*c + o for c.\n' | b'4\n' | b'Let o = 616 + -594. Solve -4*c - 4 + 30 = -5*v, -v = -5*c + o for c.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((o/(o*(o**(2/31)/o)/o))/o)**(-46)*o/((o**(-2)*o)/o)*o/o**(5/11) assuming o is positive.\n' | b'o**(-13465/341)\n' | b'Simplify ((o/(o*(o**(2/31)/o)/o))/o)**(-46)*o/((o**(-2)*o)/o)*o/o**(5/11) assuming o is positive.\n' | b'o**(-13465/341)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ossssoosossossss. What is prob of sequence ooso?\n' | b'11/728\n' | b'Four letters picked without replacement from ossssoosossossss. What is prob of sequence ooso?\n' | b'11/728\n' | deepmind/math_dataset |
b'What is prob of picking 2 q when two letters picked without replacement from {q: 16, e: 2}?\n' | b'40/51\n' | b'What is prob of picking 2 q when two letters picked without replacement from {q: 16, e: 2}?\n' | b'40/51\n' | deepmind/math_dataset |
b'What is prob of picking 2 y when two letters picked without replacement from iyiyyllyxyli?\n' | b'5/33\n' | b'What is prob of picking 2 y when two letters picked without replacement from iyiyyllyxyli?\n' | b'5/33\n' | deepmind/math_dataset |
b'Suppose -k + m + 5 = 0, -5*k + m + 5 = 6*m. Let w = 25 + -23. Let t = 27 - 13. Solve g - 4*c - 6 = 0, -w*c + t = -k*g - 6*c for g.\n' | b'-2\n' | b'Suppose -k + m + 5 = 0, -5*k + m + 5 = 6*m. Let w = 25 + -23. Let t = 27 - 13. Solve g - 4*c - 6 = 0, -w*c + t = -k*g - 6*c for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (q/(q/(q**(-4)*q*q))*q*(q/q**(-12))/q)/((((q*q**11/q)/q*q)/q)/q**(-1/10)) assuming q is positive.\n' | b'q**(9/10)\n' | b'Simplify (q/(q/(q**(-4)*q*q))*q*(q/q**(-12))/q)/((((q*q**11/q)/q*q)/q)/q**(-1/10)) assuming q is positive.\n' | b'q**(9/10)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from tvfffttvvfv. Give prob of sequence vt.\n' | b'6/55\n' | b'Two letters picked without replacement from tvfffttvvfv. Give prob of sequence vt.\n' | b'6/55\n' | deepmind/math_dataset |
b'Simplify (p**0/(p**(-2/19)*p)*(p**(3/7))**(-1/65))**22 assuming p is positive.\n' | b'p**(-171424/8645)\n' | b'Simplify (p**0/(p**(-2/19)*p)*(p**(3/7))**(-1/65))**22 assuming p is positive.\n' | b'p**(-171424/8645)\n' | deepmind/math_dataset |
b'Simplify (j*j*j**(2/17)*j)/j*j*j/j**(-2)*(j/(j/(j*j*(j**(2/11)*j)/j*j*j)*j*j))/j*j**(-2/7)*((j*j*j**(2/21))/j**6)/(j**(1/3)/j**(-2/9)) assuming j is positive.\n' | b'j**(30082/11781)\n' | b'Simplify (j*j*j**(2/17)*j)/j*j*j/j**(-2)*(j/(j/(j*j*(j**(2/11)*j)/j*j*j)*j*j))/j*j**(-2/7)*((j*j*j**(2/21))/j**6)/(j**(1/3)/j**(-2/9)) assuming j is positive.\n' | b'j**(30082/11781)\n' | deepmind/math_dataset |
b'Suppose -5*s - 3*o + 20 = 0, -5*o - 5 = -6*o. Let l(h) = s - 6*h - 4 + 2 + 3*h. Suppose f = -0 - 1. Calculate l(f).\n' | b'2\n' | b'Suppose -5*s - 3*o + 20 = 0, -5*o - 5 = -6*o. Let l(h) = s - 6*h - 4 + 2 + 3*h. Suppose f = -0 - 1. Calculate l(f).\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 8, h: 3}. What is prob of sequence ha?\n' | b'12/55\n' | b'Two letters picked without replacement from {a: 8, h: 3}. What is prob of sequence ha?\n' | b'12/55\n' | deepmind/math_dataset |
b'Calculate prob of sequence oho when three letters picked without replacement from {o: 4, h: 8, f: 1}.\n' | b'8/143\n' | b'Calculate prob of sequence oho when three letters picked without replacement from {o: 4, h: 8, f: 1}.\n' | b'8/143\n' | deepmind/math_dataset |
b'Simplify ((u*u*u**1*u)/(u*u**14/u))**(-29) assuming u is positive.\n' | b'u**290\n' | b'Simplify ((u*u*u**1*u)/(u*u**14/u))**(-29) assuming u is positive.\n' | b'u**290\n' | deepmind/math_dataset |
b'Let p(h) be the third derivative of -h**5/60 - h**4/8 + 12*h**3 - 1663*h**2. What is p(-10)?\n' | b'2\n' | b'Let p(h) be the third derivative of -h**5/60 - h**4/8 + 12*h**3 - 1663*h**2. What is p(-10)?\n' | b'2\n' | deepmind/math_dataset |
b'Let a = -47 - -48. Let o be (-1 - 0)*(12 - 14). Let z = o - 0. Solve 5*y - 2*v + 6 = -a, z*y + 2*v = -14 for y.\n' | b'-3\n' | b'Let a = -47 - -48. Let o be (-1 - 0)*(12 - 14). Let z = o - 0. Solve 5*y - 2*v + 6 = -a, z*y + 2*v = -14 for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 2 z when three letters picked without replacement from {c: 4, e: 5, z: 2, l: 2}.\n' | b'2/143\n' | b'Calculate prob of picking 1 c and 2 z when three letters picked without replacement from {c: 4, e: 5, z: 2, l: 2}.\n' | b'2/143\n' | deepmind/math_dataset |
b'Let q(i) be the second derivative of -19*i**6/15 + 25*i**3/6 + 32*i. What is the second derivative of q(h) wrt h?\n' | b'-456*h**2\n' | b'Let q(i) be the second derivative of -19*i**6/15 + 25*i**3/6 + 32*i. What is the second derivative of q(h) wrt h?\n' | b'-456*h**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence qla when three letters picked without replacement from {d: 4, a: 2, q: 2, k: 1, l: 1}.\n' | b'1/180\n' | b'Calculate prob of sequence qla when three letters picked without replacement from {d: 4, a: 2, q: 2, k: 1, l: 1}.\n' | b'1/180\n' | deepmind/math_dataset |
b'Simplify (o*o/(o*(o*o/(((o*o**(-4)/o)/o)/o)*o*o)/o))**(-27)*o**(-12)*(o*o**(-2/25)*o)/o assuming o is positive.\n' | b'o**(5123/25)\n' | b'Simplify (o*o/(o*(o*o/(((o*o**(-4)/o)/o)/o)*o*o)/o))**(-27)*o**(-12)*(o*o**(-2/25)*o)/o assuming o is positive.\n' | b'o**(5123/25)\n' | deepmind/math_dataset |
b'Simplify (g*g**(-2))/(g**(3/4)*g)*g**5/(g*g**(7/2)/g) assuming g is positive.\n' | b'g**(-5/4)\n' | b'Simplify (g*g**(-2))/(g**(3/4)*g)*g**5/(g*g**(7/2)/g) assuming g is positive.\n' | b'g**(-5/4)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bildccuu. What is prob of picking 1 u and 1 b?\n' | b'1/14\n' | b'Two letters picked without replacement from bildccuu. What is prob of picking 1 u and 1 b?\n' | b'1/14\n' | deepmind/math_dataset |
b'Let l(w) be the first derivative of -6 + w**3 + w**2 - w + 1/4*w**4. Give l(-3).\n' | b'-7\n' | b'Let l(w) be the first derivative of -6 + w**3 + w**2 - w + 1/4*w**4. Give l(-3).\n' | b'-7\n' | deepmind/math_dataset |
b'Let f(u) = -u**3 + 3*u**2 - 2*u. Let x(h) = 6*h**3 - 16*h**2 + 11*h + 1. Let t(r) = -11*f(r) - 2*x(r). Let d(o) = 994*o - 3974. Let y be d(4). Give t(y).\n' | b'-14\n' | b'Let f(u) = -u**3 + 3*u**2 - 2*u. Let x(h) = 6*h**3 - 16*h**2 + 11*h + 1. Let t(r) = -11*f(r) - 2*x(r). Let d(o) = 994*o - 3974. Let y be d(4). Give t(y).\n' | b'-14\n' | deepmind/math_dataset |
b'Let o be ((-60)/25 + 3)/(12/40). Solve -o*n + 3*a = 5*a - 4, 0 = -5*n - 4*a + 7 for n.\n' | b'-1\n' | b'Let o be ((-60)/25 + 3)/(12/40). Solve -o*n + 3*a = 5*a - 4, 0 = -5*n - 4*a + 7 for n.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rrmhpivvi. Give prob of picking 1 p, 1 m, and 1 h.\n' | b'1/84\n' | b'Three letters picked without replacement from rrmhpivvi. Give prob of picking 1 p, 1 m, and 1 h.\n' | b'1/84\n' | deepmind/math_dataset |
b'Let n(l) = 3*l + 1. Let t be n(1). Suppose -4 = -5*d + 6. Let c(x) = -d*x**2 - x + x**2 + 6*x. Determine c(t).\n' | b'4\n' | b'Let n(l) = 3*l + 1. Let t be n(1). Suppose -4 = -5*d + 6. Let c(x) = -d*x**2 - x + x**2 + 6*x. Determine c(t).\n' | b'4\n' | deepmind/math_dataset |
b'Let y(w) = w**3 + 6*w**2 - 2*w - 6. Let p(g) = 4*g**2 - 8*g - 25. Let b be p(-6). Let t = b - 173. Calculate y(t).\n' | b'6\n' | b'Let y(w) = w**3 + 6*w**2 - 2*w - 6. Let p(g) = 4*g**2 - 8*g - 25. Let b be p(-6). Let t = b - 173. Calculate y(t).\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of sequence wr when two letters picked without replacement from {w: 5, r: 8}.\n' | b'10/39\n' | b'Calculate prob of sequence wr when two letters picked without replacement from {w: 5, r: 8}.\n' | b'10/39\n' | deepmind/math_dataset |
b'What is prob of picking 1 z, 1 i, and 1 q when three letters picked without replacement from {m: 1, r: 1, q: 2, i: 1, f: 2, z: 2}?\n' | b'1/21\n' | b'What is prob of picking 1 z, 1 i, and 1 q when three letters picked without replacement from {m: 1, r: 1, q: 2, i: 1, f: 2, z: 2}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Suppose -a + 3*a - 2 = -w, -3*a = 4*w - 3. Suppose w = 3*i + 3*u - u - 8, 18 = 2*i - 5*u. Solve 2*m - 6 = i*x, 0 = 4*m + 2*x - 4*x - 6 for m.\n' | b'1\n' | b'Suppose -a + 3*a - 2 = -w, -3*a = 4*w - 3. Suppose w = 3*i + 3*u - u - 8, 18 = 2*i - 5*u. Solve 2*m - 6 = i*x, 0 = 4*m + 2*x - 4*x - 6 for m.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ytyggycychhyycyyy. Give prob of picking 2 c.\n' | b'3/136\n' | b'Two letters picked without replacement from ytyggycychhyycyyy. Give prob of picking 2 c.\n' | b'3/136\n' | deepmind/math_dataset |
b'Let r(w) be the second derivative of w**7/30 + 5*w**4/12 - w**2/2 + 23*w. Let o(k) be the first derivative of r(k). Find the second derivative of o(n) wrt n.\n' | b'84*n**2\n' | b'Let r(w) be the second derivative of w**7/30 + 5*w**4/12 - w**2/2 + 23*w. Let o(k) be the first derivative of r(k). Find the second derivative of o(n) wrt n.\n' | b'84*n**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 6, n: 1, y: 2, u: 2, j: 3, g: 1}. Give prob of picking 1 y, 1 q, 1 g, and 1 j.\n' | b'12/455\n' | b'Four letters picked without replacement from {q: 6, n: 1, y: 2, u: 2, j: 3, g: 1}. Give prob of picking 1 y, 1 q, 1 g, and 1 j.\n' | b'12/455\n' | deepmind/math_dataset |
b'Simplify ((x**(-2/7))**(-32)*x**(-2/5)*x**(-4))**(-49) assuming x is positive.\n' | b'x**(-1162/5)\n' | b'Simplify ((x**(-2/7))**(-32)*x**(-2/5)*x**(-4))**(-49) assuming x is positive.\n' | b'x**(-1162/5)\n' | deepmind/math_dataset |
b'Calculate prob of sequence joj when three letters picked without replacement from {s: 6, t: 3, w: 4, a: 1, j: 3, o: 2}.\n' | b'2/969\n' | b'Calculate prob of sequence joj when three letters picked without replacement from {s: 6, t: 3, w: 4, a: 1, j: 3, o: 2}.\n' | b'2/969\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 2, m: 1, h: 6, d: 3}. Give prob of picking 1 m and 1 g.\n' | b'1/33\n' | b'Two letters picked without replacement from {g: 2, m: 1, h: 6, d: 3}. Give prob of picking 1 m and 1 g.\n' | b'1/33\n' | deepmind/math_dataset |
b'Let z(s) be the third derivative of 1433*s**7/42 - 7*s**4/6 + 31*s**3/2 + 41*s**2 + 8*s. What is the second derivative of z(p) wrt p?\n' | b'85980*p**2\n' | b'Let z(s) be the third derivative of 1433*s**7/42 - 7*s**4/6 + 31*s**3/2 + 41*s**2 + 8*s. What is the second derivative of z(p) wrt p?\n' | b'85980*p**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 3, r: 1, d: 4}. What is prob of picking 1 r, 1 q, and 2 d?\n' | b'9/35\n' | b'Four letters picked without replacement from {q: 3, r: 1, d: 4}. What is prob of picking 1 r, 1 q, and 2 d?\n' | b'9/35\n' | deepmind/math_dataset |
b'What is prob of picking 2 u when two letters picked without replacement from uuuuuuuoouuu?\n' | b'15/22\n' | b'What is prob of picking 2 u when two letters picked without replacement from uuuuuuuoouuu?\n' | b'15/22\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 j when two letters picked without replacement from jqjq.\n' | b'1/6\n' | b'Calculate prob of picking 2 j when two letters picked without replacement from jqjq.\n' | b'1/6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qiixirzqizq. Give prob of picking 1 z and 2 q.\n' | b'2/55\n' | b'Three letters picked without replacement from qiixirzqizq. Give prob of picking 1 z and 2 q.\n' | b'2/55\n' | deepmind/math_dataset |
b'Simplify ((k**(-5)*k/((k**(-5)/k)/k))/(k**(1/3))**(-3/14))**(-9) assuming k is positive.\n' | b'k**(-387/14)\n' | b'Simplify ((k**(-5)*k/((k**(-5)/k)/k))/(k**(1/3))**(-3/14))**(-9) assuming k is positive.\n' | b'k**(-387/14)\n' | deepmind/math_dataset |
b'What is prob of picking 2 n when two letters picked without replacement from nnnnnnhnnhnnnhnnhh?\n' | b'26/51\n' | b'What is prob of picking 2 n when two letters picked without replacement from nnnnnnhnnhnnnhnnhh?\n' | b'26/51\n' | deepmind/math_dataset |
b'What is prob of picking 2 a when two letters picked without replacement from baa?\n' | b'1/3\n' | b'What is prob of picking 2 a when two letters picked without replacement from baa?\n' | b'1/3\n' | deepmind/math_dataset |
b'Suppose -87 = -44*v + 89. Solve 3*w = 5*t - 7 - 10, -v*t = w - 17 for w.\n' | b'1\n' | b'Suppose -87 = -44*v + 89. Solve 3*w = 5*t - 7 - 10, -v*t = w - 17 for w.\n' | b'1\n' | deepmind/math_dataset |
b'Let r(s) = -s**2 - 9*s + 11. Let n be r(-7). What is the second derivative of -281 - 46*w**3 + n*w + 281 wrt w?\n' | b'-276*w\n' | b'Let r(s) = -s**2 - 9*s + 11. Let n be r(-7). What is the second derivative of -281 - 46*w**3 + n*w + 281 wrt w?\n' | b'-276*w\n' | deepmind/math_dataset |
b'What is prob of sequence ttb when three letters picked without replacement from {b: 16, t: 3, x: 1}?\n' | b'4/285\n' | b'What is prob of sequence ttb when three letters picked without replacement from {b: 16, t: 3, x: 1}?\n' | b'4/285\n' | deepmind/math_dataset |
b'Let h(w) be the second derivative of 0 - 19/2*w**2 + 9*w - 9/2*w**3. Differentiate h(p) with respect to p.\n' | b'-27\n' | b'Let h(w) be the second derivative of 0 - 19/2*w**2 + 9*w - 9/2*w**3. Differentiate h(p) with respect to p.\n' | b'-27\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fxxxxfrifnxfxhfn. What is prob of picking 3 x?\n' | b'1/28\n' | b'Three letters picked without replacement from fxxxxfrifnxfxhfn. What is prob of picking 3 x?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let a(c) = c**3 - 6*c**2 - 18*c - 1. Let b be a(8). Suppose 0 = 3*m - 9, -5*t - 58 = 2*m - 3*m. Let o = t - b. Solve -3*s + 5*v - 9 = 2*v, 5*v = 2*s + o for s.\n' | b'-3\n' | b'Let a(c) = c**3 - 6*c**2 - 18*c - 1. Let b be a(8). Suppose 0 = 3*m - 9, -5*t - 58 = 2*m - 3*m. Let o = t - b. Solve -3*s + 5*v - 9 = 2*v, 5*v = 2*s + o for s.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 2 g and 1 b when three letters picked without replacement from gbbgbgbggbggb?\n' | b'63/143\n' | b'What is prob of picking 2 g and 1 b when three letters picked without replacement from gbbgbgbggbggb?\n' | b'63/143\n' | deepmind/math_dataset |
b'Differentiate 1706 + 3769*a**3 + a**2 - 225*a**4 - 3769*a**3 with respect to a.\n' | b'-900*a**3 + 2*a\n' | b'Differentiate 1706 + 3769*a**3 + a**2 - 225*a**4 - 3769*a**3 with respect to a.\n' | b'-900*a**3 + 2*a\n' | deepmind/math_dataset |
b'Let i be (-3 + 1)*(-5)/2. Suppose o = -i*b - o, b = -o. Solve 5*w - p = -10 - 0, -2*w + p - 4 = b for w.\n' | b'-2\n' | b'Let i be (-3 + 1)*(-5)/2. Suppose o = -i*b - o, b = -o. Solve 5*w - p = -10 - 0, -2*w + p - 4 = b for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = -6*r + 7*r + 1, -4*r = -c + 433. Let x = c + -384. Let i = 8 - 5. Solve -5*u = -5*d + x, 0*d - 17 = u - i*d for u.\n' | b'-5\n' | b'Suppose 0 = -6*r + 7*r + 1, -4*r = -c + 433. Let x = c + -384. Let i = 8 - 5. Solve -5*u = -5*d + x, 0*d - 17 = u - i*d for u.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (q/q**(2/5))/(q*q*(q**(1/6)/q)/q*q*q*q) assuming q is positive.\n' | b'q**(-77/30)\n' | b'Simplify (q/q**(2/5))/(q*q*(q**(1/6)/q)/q*q*q*q) assuming q is positive.\n' | b'q**(-77/30)\n' | deepmind/math_dataset |
b'Simplify (o**10*o**(-2/39))**2 assuming o is positive.\n' | b'o**(776/39)\n' | b'Simplify (o**10*o**(-2/39))**2 assuming o is positive.\n' | b'o**(776/39)\n' | deepmind/math_dataset |
b'Suppose -3*w = 3*y - 75, -4*y + 3*y + 37 = -2*w. Let g(t) = -y*t**2 + 62*t**2 - 1 - 34*t**2 - 12*t - 22. Calculate g(-10).\n' | b'-3\n' | b'Suppose -3*w = 3*y - 75, -4*y + 3*y + 37 = -2*w. Let g(t) = -y*t**2 + 62*t**2 - 1 - 34*t**2 - 12*t - 22. Calculate g(-10).\n' | b'-3\n' | deepmind/math_dataset |
b'Let w(m) = 3*m + m**2 + 3*m - 17 - 19. Let z be w(-10). Solve -3*i - z*n + 7 = 20, -6 = -2*i + n for i.\n' | b'1\n' | b'Let w(m) = 3*m + m**2 + 3*m - 17 - 19. Let z be w(-10). Solve -3*i - z*n + 7 = 20, -6 = -2*i + n for i.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 8 = -d + 5*d. Suppose 0 = d*x - 2*s - 2*s, 4*x - 5*s = 0. Solve -b - 2*q = 0, x = 2*b - 4*q + 13 - 5 for b.\n' | b'-2\n' | b'Suppose 8 = -d + 5*d. Suppose 0 = d*x - 2*s - 2*s, 4*x - 5*s = 0. Solve -b - 2*q = 0, x = 2*b - 4*q + 13 - 5 for b.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ddddddpydp. Give prob of sequence dd.\n' | b'7/15\n' | b'Two letters picked without replacement from ddddddpydp. Give prob of sequence dd.\n' | b'7/15\n' | deepmind/math_dataset |
b'Simplify r/(r*r**(1/10))*r**(1/4)*r/(r/((r*r**(-2))/r)*r*r)*r*r**5 assuming r is positive.\n' | b'r**(43/20)\n' | b'Simplify r/(r*r**(1/10))*r**(1/4)*r/(r/((r*r**(-2))/r)*r*r)*r*r**5 assuming r is positive.\n' | b'r**(43/20)\n' | deepmind/math_dataset |
b'Simplify (i*i**(-1)*i**(7/5)*(i**(4/3)*i)/i*i*i**(-1/3))/((i/(i**0*i))**(-45)*((i**0*i)/i)**48) assuming i is positive.\n' | b'i**(17/5)\n' | b'Simplify (i*i**(-1)*i**(7/5)*(i**(4/3)*i)/i*i*i**(-1/3))/((i/(i**0*i))**(-45)*((i**0*i)/i)**48) assuming i is positive.\n' | b'i**(17/5)\n' | deepmind/math_dataset |
b'Simplify ((h*h/((h/(h**(2/3)*h))/h))**(-5/2))**(-11) assuming h is positive.\n' | b'h**(605/6)\n' | b'Simplify ((h*h/((h/(h**(2/3)*h))/h))**(-5/2))**(-11) assuming h is positive.\n' | b'h**(605/6)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kwnwwnnnkwwcww. Give prob of picking 1 c, 1 w, and 1 k.\n' | b'1/26\n' | b'Three letters picked without replacement from kwnwwnnnkwwcww. Give prob of picking 1 c, 1 w, and 1 k.\n' | b'1/26\n' | deepmind/math_dataset |
b'Calculate prob of sequence cqcc when four letters picked without replacement from {q: 5, c: 7}.\n' | b'35/396\n' | b'Calculate prob of sequence cqcc when four letters picked without replacement from {q: 5, c: 7}.\n' | b'35/396\n' | deepmind/math_dataset |
b'Let h(y) = -4*y + 2*y - y. Suppose 11 = 5*q - a + 12, -3*a - 16 = 4*q. Let b be (-7 - -2 - q) + 6. What is h(b)?\n' | b'-6\n' | b'Let h(y) = -4*y + 2*y - y. Suppose 11 = 5*q - a + 12, -3*a - 16 = 4*q. Let b be (-7 - -2 - q) + 6. What is h(b)?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify ((k**0)**(6/31))**(-19/5) assuming k is positive.\n' | b'1\n' | b'Simplify ((k**0)**(6/31))**(-19/5) assuming k is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mtvgmgvggvmg. What is prob of sequence gm?\n' | b'5/44\n' | b'Two letters picked without replacement from mtvgmgvggvmg. What is prob of sequence gm?\n' | b'5/44\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 1 o when two letters picked without replacement from annnafdnanuuonfoa?\n' | b'1/17\n' | b'What is prob of picking 1 a and 1 o when two letters picked without replacement from annnafdnanuuonfoa?\n' | b'1/17\n' | deepmind/math_dataset |
b'Let f(m) be the third derivative of m**5/60 - m**4/3 + m**3/2 + 2*m**2 + 36. What is f(4)?\n' | b'-13\n' | b'Let f(m) be the third derivative of m**5/60 - m**4/3 + m**3/2 + 2*m**2 + 36. What is f(4)?\n' | b'-13\n' | deepmind/math_dataset |
b'What is prob of picking 3 q when three letters picked without replacement from {k: 10, q: 9}?\n' | b'28/323\n' | b'What is prob of picking 3 q when three letters picked without replacement from {k: 10, q: 9}?\n' | b'28/323\n' | deepmind/math_dataset |
b'What is prob of picking 1 m and 2 a when three letters picked without replacement from {m: 2, s: 3, a: 5}?\n' | b'1/6\n' | b'What is prob of picking 1 m and 2 a when three letters picked without replacement from {m: 2, s: 3, a: 5}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let v = 26 - 24. Suppose 4*q = -8, -4*q + 6*q + 6 = -v*z. Let b(h) = -h**3 - 2*h**2. What is b(z)?\n' | b'-1\n' | b'Let v = 26 - 24. Suppose 4*q = -8, -4*q + 6*q + 6 = -v*z. Let b(h) = -h**3 - 2*h**2. What is b(z)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let i(h) = 6*h - 289 - h**3 + 0*h**2 + 320 - 3*h**2 + 3*h. Let y be i(-3). Solve 5*n + y*s - 11 = 1, s - 3 = -n for n.\n' | b'0\n' | b'Let i(h) = 6*h - 289 - h**3 + 0*h**2 + 320 - 3*h**2 + 3*h. Let y be i(-3). Solve 5*n + y*s - 11 = 1, s - 3 = -n for n.\n' | b'0\n' | deepmind/math_dataset |
b'Let c be ((-3)/(-2))/((-702)/(-54) - 385/30). Solve 4*g - c*g + 2 = j, 3*g - j + 2 = 0 for g.\n' | b'0\n' | b'Let c be ((-3)/(-2))/((-702)/(-54) - 385/30). Solve 4*g - c*g + 2 = j, 3*g - j + 2 = 0 for g.\n' | b'0\n' | deepmind/math_dataset |
b'Let q = -154 + 146. Let d = 18 + q. Solve 2*p = 3*s + p - 9, 4*p = -s - d for s.\n' | b'2\n' | b'Let q = -154 + 146. Let d = 18 + q. Solve 2*p = 3*s + p - 9, 4*p = -s - d for s.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (o/o**(-2/23)*o/(o/(o*(o*o**(5/7))/o)))/((o*(o*o**(-3/7)*o)/o)/(o/(o*o**0))) assuming o is positive.\n' | b'o**(198/161)\n' | b'Simplify (o/o**(-2/23)*o/(o/(o*(o*o**(5/7))/o)))/((o*(o*o**(-3/7)*o)/o)/(o/(o*o**0))) assuming o is positive.\n' | b'o**(198/161)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i, 1 p, and 1 k when three letters picked without replacement from kppkkiikik.\n' | b'1/4\n' | b'Calculate prob of picking 1 i, 1 p, and 1 k when three letters picked without replacement from kppkkiikik.\n' | b'1/4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from llllljljllljjlllllll. Give prob of picking 2 l and 1 j.\n' | b'8/19\n' | b'Three letters picked without replacement from llllljljllljjlllllll. Give prob of picking 2 l and 1 j.\n' | b'8/19\n' | deepmind/math_dataset |
b'Calculate prob of sequence zjl when three letters picked without replacement from {z: 1, p: 1, l: 9, j: 8}.\n' | b'4/323\n' | b'Calculate prob of sequence zjl when three letters picked without replacement from {z: 1, p: 1, l: 9, j: 8}.\n' | b'4/323\n' | deepmind/math_dataset |
b'Let d(a) = -a**2 - a + 2. Let v(n) = -7*n**2 - 12*n + 17. Let h(z) = 5*d(z) - v(z). Determine h(-6).\n' | b'23\n' | b'Let d(a) = -a**2 - a + 2. Let v(n) = -7*n**2 - 12*n + 17. Let h(z) = 5*d(z) - v(z). Determine h(-6).\n' | b'23\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 8, m: 7, r: 5}. Give prob of picking 1 g, 1 m, and 1 r.\n' | b'14/57\n' | b'Three letters picked without replacement from {g: 8, m: 7, r: 5}. Give prob of picking 1 g, 1 m, and 1 r.\n' | b'14/57\n' | deepmind/math_dataset |
b'Simplify (n*n**(-13/3)/n)/n**24 assuming n is positive.\n' | b'n**(-85/3)\n' | b'Simplify (n*n**(-13/3)/n)/n**24 assuming n is positive.\n' | b'n**(-85/3)\n' | deepmind/math_dataset |
b'Let g(j) = -j - 15. Let w(t) = t + 34. Let r(c) = -9*g(c) - 4*w(c). What is r(-2)?\n' | b'-11\n' | b'Let g(j) = -j - 15. Let w(t) = t + 34. Let r(c) = -9*g(c) - 4*w(c). What is r(-2)?\n' | b'-11\n' | deepmind/math_dataset |
b'Let m be (-1)/(3/(-12))*-1. Let s(f) = -f**3 - 6*f**2 - 4*f + 3. Let n be s(-5). Let q be n/(-2 + (-6)/m). Solve w = -4*i + q, 5*i + w + 12 = 4*w for i.\n' | b'0\n' | b'Let m be (-1)/(3/(-12))*-1. Let s(f) = -f**3 - 6*f**2 - 4*f + 3. Let n be s(-5). Let q be n/(-2 + (-6)/m). Solve w = -4*i + q, 5*i + w + 12 = 4*w for i.\n' | b'0\n' | deepmind/math_dataset |
b'Let r(f) = f**3 + 6*f**2 - 5*f + 8. Let p = 103 - 110. Calculate r(p).\n' | b'-6\n' | b'Let r(f) = f**3 + 6*f**2 - 5*f + 8. Let p = 103 - 110. Calculate r(p).\n' | b'-6\n' | deepmind/math_dataset |
b'Let g(l) be the second derivative of 0 + 0*l**4 - 1/21*l**7 + 0*l**2 + 1/2*l**3 + 5*l + 0*l**5 + 0*l**6. Find the second derivative of g(f) wrt f.\n' | b'-40*f**3\n' | b'Let g(l) be the second derivative of 0 + 0*l**4 - 1/21*l**7 + 0*l**2 + 1/2*l**3 + 5*l + 0*l**5 + 0*l**6. Find the second derivative of g(f) wrt f.\n' | b'-40*f**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qcfcuqhcqwuhuhc. Give prob of sequence wc.\n' | b'2/105\n' | b'Two letters picked without replacement from qcfcuqhcqwuhuhc. Give prob of sequence wc.\n' | b'2/105\n' | deepmind/math_dataset |
b'Calculate prob of sequence pos when three letters picked without replacement from {s: 4, f: 5, u: 1, p: 2, v: 2, o: 1}.\n' | b'4/1365\n' | b'Calculate prob of sequence pos when three letters picked without replacement from {s: 4, f: 5, u: 1, p: 2, v: 2, o: 1}.\n' | b'4/1365\n' | deepmind/math_dataset |
b'Suppose 0*s + 2*p + 14 = 2*s, 4*s - 24 = 3*p. Suppose s*d - 2*g - 37 - 29 = 0, 0 = 5*d - 2*g - 110. Let y = d + -18. Solve n = 2*t - 8, -7 - 5 = -y*t for n.\n' | b'-2\n' | b'Suppose 0*s + 2*p + 14 = 2*s, 4*s - 24 = 3*p. Suppose s*d - 2*g - 37 - 29 = 0, 0 = 5*d - 2*g - 110. Let y = d + -18. Solve n = 2*t - 8, -7 - 5 = -y*t for n.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence ed when two letters picked without replacement from medeedeeuduuudu.\n' | b'2/21\n' | b'Calculate prob of sequence ed when two letters picked without replacement from medeedeeuduuudu.\n' | b'2/21\n' | deepmind/math_dataset |
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