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'Two letters picked without replacement from {x: 1, m: 2, l: 1, o: 1, q: 1, t: 1}. What is prob of sequence mt?\n' | b'1/21\n' | b'Two letters picked without replacement from {x: 1, m: 2, l: 1, o: 1, q: 1, t: 1}. What is prob of sequence mt?\n' | b'1/21\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x, 1 q, and 2 o when four letters picked without replacement from aaxaqaoahaaxxooox.\n' | b'6/595\n' | b'Calculate prob of picking 1 x, 1 q, and 2 o when four letters picked without replacement from aaxaqaoahaaxxooox.\n' | b'6/595\n' | deepmind/math_dataset |
b'Simplify (((t/(t**(-4)/t)*t)/t**(-2/15))/(((t/(t/(t/(t/(t**(1/2)*t)))))/t)/(t**(1/4)*t)))**(2/5) assuming t is positive.\n' | b't**(473/150)\n' | b'Simplify (((t/(t**(-4)/t)*t)/t**(-2/15))/(((t/(t/(t/(t/(t**(1/2)*t)))))/t)/(t**(1/4)*t)))**(2/5) assuming t is positive.\n' | b't**(473/150)\n' | deepmind/math_dataset |
b'What is prob of sequence tmgd when four letters picked without replacement from {y: 2, g: 1, d: 3, m: 13, t: 1}?\n' | b'13/38760\n' | b'What is prob of sequence tmgd when four letters picked without replacement from {y: 2, g: 1, d: 3, m: 13, t: 1}?\n' | b'13/38760\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 2, m: 5, l: 2, c: 8}. Give prob of picking 2 c and 1 g.\n' | b'7/85\n' | b'Three letters picked without replacement from {g: 2, m: 5, l: 2, c: 8}. Give prob of picking 2 c and 1 g.\n' | b'7/85\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vmmmxvm. Give prob of picking 2 m, 1 v, and 1 x.\n' | b'12/35\n' | b'Four letters picked without replacement from vmmmxvm. Give prob of picking 2 m, 1 v, and 1 x.\n' | b'12/35\n' | deepmind/math_dataset |
b'Let k(q) = -3*q - 12. Let x(t) = -1. Let h(u) = k(u) - x(u). Let c be h(-7). Find the second derivative of 9*z**3 - c*z**3 - 4*z + 11*z**3 wrt z.\n' | b'60*z\n' | b'Let k(q) = -3*q - 12. Let x(t) = -1. Let h(u) = k(u) - x(u). Let c be h(-7). Find the second derivative of 9*z**3 - c*z**3 - 4*z + 11*z**3 wrt z.\n' | b'60*z\n' | deepmind/math_dataset |
b'What is prob of picking 1 v and 2 w when three letters picked without replacement from {w: 3, h: 1, o: 3, v: 3, x: 8, z: 1}?\n' | b'3/323\n' | b'What is prob of picking 1 v and 2 w when three letters picked without replacement from {w: 3, h: 1, o: 3, v: 3, x: 8, z: 1}?\n' | b'3/323\n' | deepmind/math_dataset |
b'Let d(o) be the second derivative of o**5/10 - 3*o**4/4 - 2*o**3/3 - 2*o**2 + 4*o - 205. Calculate d(5).\n' | b'1\n' | b'Let d(o) be the second derivative of o**5/10 - 3*o**4/4 - 2*o**3/3 - 2*o**2 + 4*o - 205. Calculate d(5).\n' | b'1\n' | deepmind/math_dataset |
b'Let k(l) = -9*l**2 + 46 - 2*l + 4*l**2 + l**3 - 39 - 2*l. Give k(6).\n' | b'19\n' | b'Let k(l) = -9*l**2 + 46 - 2*l + 4*l**2 + l**3 - 39 - 2*l. Give k(6).\n' | b'19\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 2 f when three letters picked without replacement from ttffftktkfkttk.\n' | b'6/91\n' | b'Calculate prob of picking 1 k and 2 f when three letters picked without replacement from ttffftktkfkttk.\n' | b'6/91\n' | deepmind/math_dataset |
b'Let a(z) be the second derivative of z**6/120 - 2*z**5/15 - z**4/6 + 2*z**3 + 24*z**2 + 18*z + 1. Let u(c) be the first derivative of a(c). Determine u(8).\n' | b'-20\n' | b'Let a(z) be the second derivative of z**6/120 - 2*z**5/15 - z**4/6 + 2*z**3 + 24*z**2 + 18*z + 1. Let u(c) be the first derivative of a(c). Determine u(8).\n' | b'-20\n' | deepmind/math_dataset |
b'Simplify (s*(s/s**3)/s)**(6/13) assuming s is positive.\n' | b's**(-12/13)\n' | b'Simplify (s*(s/s**3)/s)**(6/13) assuming s is positive.\n' | b's**(-12/13)\n' | deepmind/math_dataset |
b'Let v be 2 + 4 + -7 + 1. Solve 3 = 4*u + g, 0*g + g + 5 = v for u.\n' | b'2\n' | b'Let v be 2 + 4 + -7 + 1. Solve 3 = 4*u + g, 0*g + g + 5 = v for u.\n' | b'2\n' | deepmind/math_dataset |
b'Let y(u) = -u**3 + 10*u - 1. Let o be y(3). Solve 5 + 2 = -5*n + o*m, -n + 2*m - 3 = 0 for n.\n' | b'-1\n' | b'Let y(u) = -u**3 + 10*u - 1. Let o be y(3). Solve 5 + 2 = -5*n + o*m, -n + 2*m - 3 = 0 for n.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 7, i: 7, w: 2, b: 1, g: 1}. Give prob of sequence wgin.\n' | b'49/36720\n' | b'Four letters picked without replacement from {n: 7, i: 7, w: 2, b: 1, g: 1}. Give prob of sequence wgin.\n' | b'49/36720\n' | deepmind/math_dataset |
b'Let i(v) = 165*v**3 + 152*v**2 + 9*v. Let n(w) = -41*w**3 - 38*w**2 - 2*w. Let q(r) = 2*i(r) + 9*n(r). What is the third derivative of q(f) wrt f?\n' | b'-234\n' | b'Let i(v) = 165*v**3 + 152*v**2 + 9*v. Let n(w) = -41*w**3 - 38*w**2 - 2*w. Let q(r) = 2*i(r) + 9*n(r). What is the third derivative of q(f) wrt f?\n' | b'-234\n' | deepmind/math_dataset |
b'Simplify (a*a*a*(a/(a*a**(-2/13)))/a*a**(-3/5))**(-46) assuming a is positive.\n' | b'a**(-4646/65)\n' | b'Simplify (a*a*a*(a/(a*a**(-2/13)))/a*a**(-3/5))**(-46) assuming a is positive.\n' | b'a**(-4646/65)\n' | deepmind/math_dataset |
b'Let l(s) = -6490*s**2 - 5984*s + 14. Let j(x) = 3245*x**2 + 2992*x - 6. Let n(g) = -7*j(g) - 3*l(g). What is the second derivative of n(r) wrt r?\n' | b'-6490\n' | b'Let l(s) = -6490*s**2 - 5984*s + 14. Let j(x) = 3245*x**2 + 2992*x - 6. Let n(g) = -7*j(g) - 3*l(g). What is the second derivative of n(r) wrt r?\n' | b'-6490\n' | deepmind/math_dataset |
b'Simplify ((f**(-37)*f*f)/((f*f*f**(-2/109)*f)/f))/(f**(6/13))**(-23) assuming f is positive.\n' | b'f**(-37361/1417)\n' | b'Simplify ((f**(-37)*f*f)/((f*f*f**(-2/109)*f)/f))/(f**(6/13))**(-23) assuming f is positive.\n' | b'f**(-37361/1417)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from beeaaaewabebaeba. Give prob of sequence bb.\n' | b'1/20\n' | b'Two letters picked without replacement from beeaaaewabebaeba. Give prob of sequence bb.\n' | b'1/20\n' | deepmind/math_dataset |
b'What is prob of sequence zkzk when four letters picked without replacement from kzkzkgc?\n' | b'1/70\n' | b'What is prob of sequence zkzk when four letters picked without replacement from kzkzkgc?\n' | b'1/70\n' | deepmind/math_dataset |
b'Four letters picked without replacement from eeeeeeeeeeaeeeaeeee. Give prob of picking 4 e.\n' | b'35/57\n' | b'Four letters picked without replacement from eeeeeeeeeeaeeeaeeee. Give prob of picking 4 e.\n' | b'35/57\n' | deepmind/math_dataset |
b'Simplify ((y*y**(-1))/(y/(y/y**(-11))))**47/(((y*y**7)/(y*y*y*y*y**(3/4)*y))/((y*y**(2/9)/y)/y**7)) assuming y is positive.\n' | b'y**(18287/36)\n' | b'Simplify ((y*y**(-1))/(y/(y/y**(-11))))**47/(((y*y**7)/(y*y*y*y*y**(3/4)*y))/((y*y**(2/9)/y)/y**7)) assuming y is positive.\n' | b'y**(18287/36)\n' | deepmind/math_dataset |
b'Let n = -228 - -231. Suppose 2*k = 0, -n*k + 20 + 4 = 3*b. Solve -4*c + b = -2*v, -3*c + 0*c = -5*v - 13 for v.\n' | b'-2\n' | b'Let n = -228 - -231. Suppose 2*k = 0, -n*k + 20 + 4 = 3*b. Solve -4*c + b = -2*v, -3*c + 0*c = -5*v - 13 for v.\n' | b'-2\n' | deepmind/math_dataset |
b'Let l(a) = -47 - 67 - 10*a - 17 + 201. Determine l(7).\n' | b'0\n' | b'Let l(a) = -47 - 67 - 10*a - 17 + 201. Determine l(7).\n' | b'0\n' | deepmind/math_dataset |
b'Let a = 8 - 5. What is the third derivative of 3*b**a + 0*b**2 - b**3 - b**3 + b**2 wrt b?\n' | b'6\n' | b'Let a = 8 - 5. What is the third derivative of 3*b**a + 0*b**2 - b**3 - b**3 + b**2 wrt b?\n' | b'6\n' | deepmind/math_dataset |
b'Suppose -5*v = -2*v - 9. Suppose -5*f - 3*z + 116 = 0, -2*f = 3*f - 2*z - 106. Suppose 0*y + 2*y + 11 = -v*x, -4*x + y - f = 0. Let m(s) = s + 12. Give m(x).\n' | b'7\n' | b'Suppose -5*v = -2*v - 9. Suppose -5*f - 3*z + 116 = 0, -2*f = 3*f - 2*z - 106. Suppose 0*y + 2*y + 11 = -v*x, -4*x + y - f = 0. Let m(s) = s + 12. Give m(x).\n' | b'7\n' | deepmind/math_dataset |
b'Let z(k) = -3*k + 1. Let l(b) = -7*b + 2. Let a(f) = 2*l(f) - 5*z(f). Let i(t) = t**2 + 2*t - 2. Let r(m) = 6*a(m) - 3*i(m). Calculate r(1).\n' | b'-3\n' | b'Let z(k) = -3*k + 1. Let l(b) = -7*b + 2. Let a(f) = 2*l(f) - 5*z(f). Let i(t) = t**2 + 2*t - 2. Let r(m) = 6*a(m) - 3*i(m). Calculate r(1).\n' | b'-3\n' | deepmind/math_dataset |
b'What is the third derivative of -33*r**4 + 21*r**6 - 553*r**2 + 558*r**2 + 1 + 39*r**4 wrt r?\n' | b'2520*r**3 + 144*r\n' | b'What is the third derivative of -33*r**4 + 21*r**6 - 553*r**2 + 558*r**2 + 1 + 39*r**4 wrt r?\n' | b'2520*r**3 + 144*r\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gfdzfgdzgzfdfdfgdt. Give prob of sequence ftz.\n' | b'5/1632\n' | b'Three letters picked without replacement from gfdzfgdzgzfdfdfgdt. Give prob of sequence ftz.\n' | b'5/1632\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 3, w: 1}. What is prob of sequence wd?\n' | b'1/4\n' | b'Two letters picked without replacement from {d: 3, w: 1}. What is prob of sequence wd?\n' | b'1/4\n' | deepmind/math_dataset |
b'Suppose 20 = 3*h - j, -2*h - 5*j = h + 10. Suppose -y = g - h, g - 3 = 2*y - 7. Solve -8 = 2*d - 4*v, 0 = -g*d + 2*v - 2 for d.\n' | b'2\n' | b'Suppose 20 = 3*h - j, -2*h - 5*j = h + 10. Suppose -y = g - h, g - 3 = 2*y - 7. Solve -8 = 2*d - 4*v, 0 = -g*d + 2*v - 2 for d.\n' | b'2\n' | deepmind/math_dataset |
b'Let v(a) = -a**2 - 11*a + 2. Suppose h - 28 + 31 = 0, 5*l = h - 92. Let x = l + 10. Calculate v(x).\n' | b'20\n' | b'Let v(a) = -a**2 - 11*a + 2. Suppose h - 28 + 31 = 0, 5*l = h - 92. Let x = l + 10. Calculate v(x).\n' | b'20\n' | deepmind/math_dataset |
b'Suppose -4*w - 3*k + 8 = 0, 3*w - 5*k - 10 = -2*w. Let o(n) = -n - 1. Determine o(w).\n' | b'-3\n' | b'Suppose -4*w - 3*k + 8 = 0, 3*w - 5*k - 10 = -2*w. Let o(n) = -n - 1. Determine o(w).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (k**(-14)/k)**(3/13) assuming k is positive.\n' | b'k**(-45/13)\n' | b'Simplify (k**(-14)/k)**(3/13) assuming k is positive.\n' | b'k**(-45/13)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 r and 2 y when four letters picked without replacement from rryyrryrrrrrrrr.\n' | b'66/455\n' | b'Calculate prob of picking 2 r and 2 y when four letters picked without replacement from rryyrryrrrrrrrr.\n' | b'66/455\n' | deepmind/math_dataset |
b'Suppose 3 = -2*i - w + 12, -2*i - 2*w + 12 = 0. Suppose 2*r - i = 23. Let x be 8/5*235/94. Solve 7*u + r = x*v + 4*u, 0 = 2*v + 5*u - 13 for v.\n' | b'4\n' | b'Suppose 3 = -2*i - w + 12, -2*i - 2*w + 12 = 0. Suppose 2*r - i = 23. Let x be 8/5*235/94. Solve 7*u + r = x*v + 4*u, 0 = 2*v + 5*u - 13 for v.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 1, i: 1, u: 1, s: 1, d: 1}. What is prob of picking 2 i and 2 u?\n' | b'0\n' | b'Four letters picked without replacement from {l: 1, i: 1, u: 1, s: 1, d: 1}. What is prob of picking 2 i and 2 u?\n' | b'0\n' | deepmind/math_dataset |
b'Let o(j) = 3*j**2 + 3*j - 1. Let c(b) = -2*b**2 - 3*b + 1. Let t(n) = 4*c(n) + 3*o(n). Suppose 0*r - 28 = -4*r. Suppose -3*m + r = -2. Give t(m).\n' | b'1\n' | b'Let o(j) = 3*j**2 + 3*j - 1. Let c(b) = -2*b**2 - 3*b + 1. Let t(n) = 4*c(n) + 3*o(n). Suppose 0*r - 28 = -4*r. Suppose -3*m + r = -2. Give t(m).\n' | b'1\n' | deepmind/math_dataset |
b'Let m = -13 + 16. Solve j + 3 = -b, m*b + 0*b - 7 = 5*j for j.\n' | b'-2\n' | b'Let m = -13 + 16. Solve j + 3 = -b, m*b + 0*b - 7 = 5*j for j.\n' | b'-2\n' | deepmind/math_dataset |
b'Let x(t) = -9*t + 8*t - 1 + 1. Let z be x(-3). Solve 2 = -3*l - 2*g, z*l = -3*g + 2 + 1 for l.\n' | b'-4\n' | b'Let x(t) = -9*t + 8*t - 1 + 1. Let z be x(-3). Solve 2 = -3*l - 2*g, z*l = -3*g + 2 + 1 for l.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence rhpp when four letters picked without replacement from {p: 5, r: 14, h: 1}?\n' | b'7/2907\n' | b'What is prob of sequence rhpp when four letters picked without replacement from {p: 5, r: 14, h: 1}?\n' | b'7/2907\n' | deepmind/math_dataset |
b'Suppose w - 15 = 1. Suppose 4*y - 3*y = 0. What is the third derivative of 807*u**6 - 786*u**6 + w*u**2 + y*u**2 wrt u?\n' | b'2520*u**3\n' | b'Suppose w - 15 = 1. Suppose 4*y - 3*y = 0. What is the third derivative of 807*u**6 - 786*u**6 + w*u**2 + y*u**2 wrt u?\n' | b'2520*u**3\n' | deepmind/math_dataset |
b'What is prob of picking 1 c, 1 g, and 1 r when three letters picked without replacement from lkckrgg?\n' | b'2/35\n' | b'What is prob of picking 1 c, 1 g, and 1 r when three letters picked without replacement from lkckrgg?\n' | b'2/35\n' | deepmind/math_dataset |
b'Let p(t) = 3*t. Suppose -3*y = y - 12. Suppose -5*r = -5*h + 45, -y*r = -2*h + 13 + 10. Give p(r).\n' | b'-15\n' | b'Let p(t) = 3*t. Suppose -3*y = y - 12. Suppose -5*r = -5*h + 45, -y*r = -2*h + 13 + 10. Give p(r).\n' | b'-15\n' | deepmind/math_dataset |
b'Let n(l) = l + 4 + 0 + 1 + 13. Let t be n(-16). Solve -13 = 2*i - z - t, 29 = -5*i + 4*z for i.\n' | b'-5\n' | b'Let n(l) = l + 4 + 0 + 1 + 13. Let t be n(-16). Solve -13 = 2*i - z - t, 29 = -5*i + 4*z for i.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vpvvxzzlvlvvzlgz. Give prob of picking 1 v and 3 z.\n' | b'6/455\n' | b'Four letters picked without replacement from vpvvxzzlvlvvzlgz. Give prob of picking 1 v and 3 z.\n' | b'6/455\n' | deepmind/math_dataset |
b'Simplify (m**(-8))**21*(m**(-1/7))**(3/7) assuming m is positive.\n' | b'm**(-8235/49)\n' | b'Simplify (m**(-8))**21*(m**(-1/7))**(3/7) assuming m is positive.\n' | b'm**(-8235/49)\n' | deepmind/math_dataset |
b'Suppose i - 6 = -0. What is the third derivative of 4*o**6 - 4*o**6 + 14*o**2 - 7*o**2 + o**i wrt o?\n' | b'120*o**3\n' | b'Suppose i - 6 = -0. What is the third derivative of 4*o**6 - 4*o**6 + 14*o**2 - 7*o**2 + o**i wrt o?\n' | b'120*o**3\n' | deepmind/math_dataset |
b'What is prob of sequence tkkk when four letters picked without replacement from ttkkk?\n' | b'1/10\n' | b'What is prob of sequence tkkk when four letters picked without replacement from ttkkk?\n' | b'1/10\n' | deepmind/math_dataset |
b'What is prob of sequence oy when two letters picked without replacement from whhhouohuohhoohohyh?\n' | b'1/57\n' | b'What is prob of sequence oy when two letters picked without replacement from whhhouohuohhoohohyh?\n' | b'1/57\n' | deepmind/math_dataset |
b'Let z(u) = -512 - 129*u + 61*u + 1789 + 45*u + 63*u. Calculate z(-32).\n' | b'-3\n' | b'Let z(u) = -512 - 129*u + 61*u + 1789 + 45*u + 63*u. Calculate z(-32).\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 u when two letters picked without replacement from uuuguuuuuuuuuguuuuu.\n' | b'136/171\n' | b'Calculate prob of picking 2 u when two letters picked without replacement from uuuguuuuuuuuuguuuuu.\n' | b'136/171\n' | deepmind/math_dataset |
b'Suppose -3*r - 81 = -93. Let n(j) = 10 + r + 6 - 8 + j. Determine n(-6).\n' | b'6\n' | b'Suppose -3*r - 81 = -93. Let n(j) = 10 + r + 6 - 8 + j. Determine n(-6).\n' | b'6\n' | deepmind/math_dataset |
b'Let n(b) = 19 - 113030*b + 113122*b + 439. Calculate n(-5).\n' | b'-2\n' | b'Let n(b) = 19 - 113030*b + 113122*b + 439. Calculate n(-5).\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = -35*c - 2000 + 2175. Solve -c*l - 45 = 4*a - 33, 28 = 4*a - 5*l for a.\n' | b'2\n' | b'Suppose 0 = -35*c - 2000 + 2175. Solve -c*l - 45 = 4*a - 33, 28 = 4*a - 5*l for a.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 2, b: 1, x: 1, u: 1, g: 1, p: 2}. What is prob of picking 1 b and 1 p?\n' | b'1/14\n' | b'Two letters picked without replacement from {k: 2, b: 1, x: 1, u: 1, g: 1, p: 2}. What is prob of picking 1 b and 1 p?\n' | b'1/14\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 1 o when two letters picked without replacement from {d: 1, v: 1, q: 2, o: 1, i: 1, f: 8}?\n' | b'1/91\n' | b'What is prob of picking 1 i and 1 o when two letters picked without replacement from {d: 1, v: 1, q: 2, o: 1, i: 1, f: 8}?\n' | b'1/91\n' | deepmind/math_dataset |
b'Let w(g) = -9 + 17*g - 7*g + 24 - 11*g. Let o be w(7). Solve 15 = 5*i + 4*s, 4*i - o = 2*s + 4 for i.\n' | b'3\n' | b'Let w(g) = -9 + 17*g - 7*g + 24 - 11*g. Let o be w(7). Solve 15 = 5*i + 4*s, 4*i - o = 2*s + 4 for i.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 2, c: 1, b: 1, i: 1}. What is prob of sequence boc?\n' | b'1/30\n' | b'Three letters picked without replacement from {o: 2, c: 1, b: 1, i: 1}. What is prob of sequence boc?\n' | b'1/30\n' | deepmind/math_dataset |
b'Let i = -28 + 40. Suppose -3*j = -5*a - 26, 4*a = i - 28. Find the first derivative of m**3 + m**3 + 1 - j wrt m.\n' | b'6*m**2\n' | b'Let i = -28 + 40. Suppose -3*j = -5*a - 26, 4*a = i - 28. Find the first derivative of m**3 + m**3 + 1 - j wrt m.\n' | b'6*m**2\n' | deepmind/math_dataset |
b'Let w(m) be the second derivative of 149*m**5/5 + m**4/12 - 113*m**2 - 43*m + 6. What is the third derivative of w(s) wrt s?\n' | b'3576\n' | b'Let w(m) be the second derivative of 149*m**5/5 + m**4/12 - 113*m**2 - 43*m + 6. What is the third derivative of w(s) wrt s?\n' | b'3576\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 2, v: 2, r: 3, o: 4}. Give prob of sequence vr.\n' | b'3/55\n' | b'Two letters picked without replacement from {m: 2, v: 2, r: 3, o: 4}. Give prob of sequence vr.\n' | b'3/55\n' | deepmind/math_dataset |
b'Let x = -43 - -39. Let g(h) = 2*h**2 + 8*h + 9. Let o be g(x). Let s(a) = -2 - 3*a**3 + 2*a**2 - 5*a**3 + 3*a**2 - 3*a + o*a**3. Determine s(-5).\n' | b'13\n' | b'Let x = -43 - -39. Let g(h) = 2*h**2 + 8*h + 9. Let o be g(x). Let s(a) = -2 - 3*a**3 + 2*a**2 - 5*a**3 + 3*a**2 - 3*a + o*a**3. Determine s(-5).\n' | b'13\n' | deepmind/math_dataset |
b'Let c(h) = -40*h**2 + 166*h - 4397. Let x(u) = 13*u**2 - 55*u + 1470. Let a(m) = 3*c(m) + 8*x(m). What is the derivative of a(r) wrt r?\n' | b'-32*r + 58\n' | b'Let c(h) = -40*h**2 + 166*h - 4397. Let x(u) = 13*u**2 - 55*u + 1470. Let a(m) = 3*c(m) + 8*x(m). What is the derivative of a(r) wrt r?\n' | b'-32*r + 58\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y and 2 o when three letters picked without replacement from {c: 6, y: 4, o: 3}.\n' | b'6/143\n' | b'Calculate prob of picking 1 y and 2 o when three letters picked without replacement from {c: 6, y: 4, o: 3}.\n' | b'6/143\n' | deepmind/math_dataset |
b'What is prob of sequence gxae when four letters picked without replacement from dxaxxaxaexagxaaxxaa?\n' | b'2/2907\n' | b'What is prob of sequence gxae when four letters picked without replacement from dxaxxaxaexagxaaxxaa?\n' | b'2/2907\n' | deepmind/math_dataset |
b'What is prob of picking 4 c when four letters picked without replacement from ccccccccc?\n' | b'1\n' | b'What is prob of picking 4 c when four letters picked without replacement from ccccccccc?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (u/(u/u**(2/117)*u*u)*(u*u/u**(-32))/u)/(u/u**(3/5)*u**21) assuming u is positive.\n' | b'u**(5626/585)\n' | b'Simplify (u/(u/u**(2/117)*u*u)*(u*u/u**(-32))/u)/(u/u**(3/5)*u**21) assuming u is positive.\n' | b'u**(5626/585)\n' | deepmind/math_dataset |
b'Simplify (b**(2/13))**(-3/8) assuming b is positive.\n' | b'b**(-3/52)\n' | b'Simplify (b**(2/13))**(-3/8) assuming b is positive.\n' | b'b**(-3/52)\n' | deepmind/math_dataset |
b'Let i(n) = -n**3 + 10*n**2 + 12*n - 19. Let g(m) = -m**3 + 2*m**2 + 2*m + 11. Let s be g(0). Determine i(s).\n' | b'-8\n' | b'Let i(n) = -n**3 + 10*n**2 + 12*n - 19. Let g(m) = -m**3 + 2*m**2 + 2*m + 11. Let s be g(0). Determine i(s).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify f**(-1/8)*((f/(f/(f*f/(f*f/(f*f**6)*f*f)*f)))/f)/f*(f**(3/20)/f)/((f*f**(-1/22)*f)/f) assuming f is positive.\n' | b'f**(911/440)\n' | b'Simplify f**(-1/8)*((f/(f/(f*f/(f*f/(f*f**6)*f*f)*f)))/f)/f*(f**(3/20)/f)/((f*f**(-1/22)*f)/f) assuming f is positive.\n' | b'f**(911/440)\n' | deepmind/math_dataset |
b'Let w be 66/3 - -1*(6 - 3). Suppose -16 = -4*r + 4. Let k be (-3)/((-9)/r)*3. Solve -5*j + z - 5 = -0*z, k*z - w = j for j.\n' | b'0\n' | b'Let w be 66/3 - -1*(6 - 3). Suppose -16 = -4*r + 4. Let k be (-3)/((-9)/r)*3. Solve -5*j + z - 5 = -0*z, k*z - w = j for j.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i, 1 p, and 1 m when three letters picked without replacement from {p: 1, r: 1, i: 1, m: 1, q: 1}.\n' | b'1/10\n' | b'Calculate prob of picking 1 i, 1 p, and 1 m when three letters picked without replacement from {p: 1, r: 1, i: 1, m: 1, q: 1}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Calculate prob of sequence zd when two letters picked without replacement from adzdd.\n' | b'3/20\n' | b'Calculate prob of sequence zd when two letters picked without replacement from adzdd.\n' | b'3/20\n' | deepmind/math_dataset |
b'Let b = 1440 - 1012. Differentiate -428*h**2 + 2*h**3 + b*h**2 - 3 wrt h.\n' | b'6*h**2\n' | b'Let b = 1440 - 1012. Differentiate -428*h**2 + 2*h**3 + b*h**2 - 3 wrt h.\n' | b'6*h**2\n' | deepmind/math_dataset |
b'Differentiate 119*p - 112 + 22*p**3 - 205*p - p**2 + 286 wrt p.\n' | b'66*p**2 - 2*p - 86\n' | b'Differentiate 119*p - 112 + 22*p**3 - 205*p - p**2 + 286 wrt p.\n' | b'66*p**2 - 2*p - 86\n' | deepmind/math_dataset |
b'What is prob of sequence ch when two letters picked without replacement from kcwwwwchczwwzw?\n' | b'3/182\n' | b'What is prob of sequence ch when two letters picked without replacement from kcwwwwchczwwzw?\n' | b'3/182\n' | deepmind/math_dataset |
b'Let s(w) = -4*w - 11. Let m(p) be the second derivative of 5*p**3/6 + 6*p**2 + p. Let b(r) = -5*m(r) - 6*s(r). Calculate b(0).\n' | b'6\n' | b'Let s(w) = -4*w - 11. Let m(p) be the second derivative of 5*p**3/6 + 6*p**2 + p. Let b(r) = -5*m(r) - 6*s(r). Calculate b(0).\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 3, b: 4, m: 1}. Give prob of sequence bm.\n' | b'1/14\n' | b'Two letters picked without replacement from {r: 3, b: 4, m: 1}. Give prob of sequence bm.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let n be (-1)/2 - 6*5/20. Let z(s) = 4 + s + 0*s - 2*s. Let q(b) = -6*b + 21. Let f(w) = -2*q(w) + 11*z(w). Give f(n).\n' | b'0\n' | b'Let n be (-1)/2 - 6*5/20. Let z(s) = 4 + s + 0*s - 2*s. Let q(b) = -6*b + 21. Let f(w) = -2*q(w) + 11*z(w). Give f(n).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (r**4/((r**(-2)*r)/r))**27/((r**2*r)**(-2/43)/((r/(r**(-9)/r)*r*r)/(r/(r*r**(-2)*r)))) assuming r is positive.\n' | b'r**(7488/43)\n' | b'Simplify (r**4/((r**(-2)*r)/r))**27/((r**2*r)**(-2/43)/((r/(r**(-9)/r)*r*r)/(r/(r*r**(-2)*r)))) assuming r is positive.\n' | b'r**(7488/43)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from aaaaggaafgaaga. What is prob of picking 1 f, 2 g, and 1 a?\n' | b'54/1001\n' | b'Four letters picked without replacement from aaaaggaafgaaga. What is prob of picking 1 f, 2 g, and 1 a?\n' | b'54/1001\n' | deepmind/math_dataset |
b'Let m be (((-162)/(-12))/9)/(51/(-68)). Let d(h) = -5 + 5 - h. Let c(s) = 15*s**2 - s + 17. Let k(b) = m*d(b) + 2*c(b). Find the first derivative of k(o) wrt o.\n' | b'60*o\n' | b'Let m be (((-162)/(-12))/9)/(51/(-68)). Let d(h) = -5 + 5 - h. Let c(s) = 15*s**2 - s + 17. Let k(b) = m*d(b) + 2*c(b). Find the first derivative of k(o) wrt o.\n' | b'60*o\n' | deepmind/math_dataset |
b'Let b be 0 + 0 - (1 + 1). Suppose 0 = -4*k - 2*j - 6, -3*k - 1 = j + 4. Let c be (k/b)/(3/15). Solve -4*h + s - 18 = 0, -1 - 17 = 2*h - c*s for h.\n' | b'-4\n' | b'Let b be 0 + 0 - (1 + 1). Suppose 0 = -4*k - 2*j - 6, -3*k - 1 = j + 4. Let c be (k/b)/(3/15). Solve -4*h + s - 18 = 0, -1 - 17 = 2*h - c*s for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pbhhbhhb. What is prob of sequence phhh?\n' | b'1/70\n' | b'Four letters picked without replacement from pbhhbhhb. What is prob of sequence phhh?\n' | b'1/70\n' | deepmind/math_dataset |
b'Suppose 0 = 5*x - 36 - 14. Suppose -3*t - 1 + x = 0. Let y = -38789 + 38793. Solve -3*q - b = y*b - 8, t*b - 8 = -q for q.\n' | b'-4\n' | b'Suppose 0 = 5*x - 36 - 14. Suppose -3*t - 1 + x = 0. Let y = -38789 + 38793. Solve -3*q - b = y*b - 8, t*b - 8 = -q for q.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -4*u = -180 - 12. Let h be (u/60)/((-1)/(-5)). Suppose 5*d - 31 + 7 = h*k, 2*k - 18 = -5*d. Let m(x) = -x**2 + 4*x + 2. Calculate m(d).\n' | b'2\n' | b'Suppose -4*u = -180 - 12. Let h be (u/60)/((-1)/(-5)). Suppose 5*d - 31 + 7 = h*k, 2*k - 18 = -5*d. Let m(x) = -x**2 + 4*x + 2. Calculate m(d).\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dkkdkddkddkdkddkddd. What is prob of sequence dd?\n' | b'22/57\n' | b'Two letters picked without replacement from dkkdkddkddkdkddkddd. What is prob of sequence dd?\n' | b'22/57\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hhbhhhbhhbhhhh. Give prob of sequence bhhh.\n' | b'45/364\n' | b'Four letters picked without replacement from hhbhhhbhhbhhhh. Give prob of sequence bhhh.\n' | b'45/364\n' | deepmind/math_dataset |
b'Let l(s) be the third derivative of 995*s**4/24 + 680*s**3/3 - s**2 - 514*s. Differentiate l(g) with respect to g.\n' | b'995\n' | b'Let l(s) be the third derivative of 995*s**4/24 + 680*s**3/3 - s**2 - 514*s. Differentiate l(g) with respect to g.\n' | b'995\n' | deepmind/math_dataset |
b'Simplify ((k*k**(2/13)*k**7)/(k*k*(k*(k/(k/k**(2/9)))/k)/k*k)**(4/17))/(((k/k**(-1))/((k*k/(k**(-6)*k))/k))/(k/((k/k**7)/k)*k**6)) assuming k is positive.\n' | b'k**(50980/1989)\n' | b'Simplify ((k*k**(2/13)*k**7)/(k*k*(k*(k/(k/k**(2/9)))/k)/k*k)**(4/17))/(((k/k**(-1))/((k*k/(k**(-6)*k))/k))/(k/((k/k**7)/k)*k**6)) assuming k is positive.\n' | b'k**(50980/1989)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uhyhqohqhu. What is prob of sequence qhy?\n' | b'1/90\n' | b'Three letters picked without replacement from uhyhqohqhu. What is prob of sequence qhy?\n' | b'1/90\n' | deepmind/math_dataset |
b'Let g(f) = -4*f + 123. Let z be g(30). Solve -5*p = -5*x + 5, -z*x + 5 = -6*p + p for x.\n' | b'0\n' | b'Let g(f) = -4*f + 123. Let z be g(30). Solve -5*p = -5*x + 5, -z*x + 5 = -6*p + p for x.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (((a**(2/17)/a*a)/a)/(a*a/a**(-2/25)))**(15/8)*((a/(a*a**(1/3))*a)/(a**(-1/2)/a))/(a**(2/7)/a**(-5)) assuming a is positive.\n' | b'a**(-123857/14280)\n' | b'Simplify (((a**(2/17)/a*a)/a)/(a*a/a**(-2/25)))**(15/8)*((a/(a*a**(1/3))*a)/(a**(-1/2)/a))/(a**(2/7)/a**(-5)) assuming a is positive.\n' | b'a**(-123857/14280)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 3, s: 7}. Give prob of picking 2 x and 2 s.\n' | b'3/10\n' | b'Four letters picked without replacement from {x: 3, s: 7}. Give prob of picking 2 x and 2 s.\n' | b'3/10\n' | deepmind/math_dataset |
b'What is prob of sequence mmmf when four letters picked without replacement from {f: 1, m: 19}?\n' | b'1/20\n' | b'What is prob of sequence mmmf when four letters picked without replacement from {f: 1, m: 19}?\n' | b'1/20\n' | deepmind/math_dataset |
b'Simplify (i*i*i**(-24)*i*i*i**(-3/8))**(-26/7) assuming i is positive.\n' | b'i**(2119/28)\n' | b'Simplify (i*i*i**(-24)*i*i*i**(-3/8))**(-26/7) assuming i is positive.\n' | b'i**(2119/28)\n' | deepmind/math_dataset |
b'Let j(w) = -30*w - 69. Let b(f) be the second derivative of 31*f**3/6 + 34*f**2 + 2*f. Let t(m) = -4*b(m) - 5*j(m). Differentiate t(d) with respect to d.\n' | b'26\n' | b'Let j(w) = -30*w - 69. Let b(f) be the second derivative of 31*f**3/6 + 34*f**2 + 2*f. Let t(m) = -4*b(m) - 5*j(m). Differentiate t(d) with respect to d.\n' | b'26\n' | deepmind/math_dataset |
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