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'What is prob of picking 1 n, 1 w, and 1 y when three letters picked without replacement from {a: 4, q: 1, w: 2, n: 1, y: 5, v: 7}?\n' | b'1/114\n' | b'What is prob of picking 1 n, 1 w, and 1 y when three letters picked without replacement from {a: 4, q: 1, w: 2, n: 1, y: 5, v: 7}?\n' | b'1/114\n' | deepmind/math_dataset |
b'Two letters picked without replacement from oouoouuoiuuooi. Give prob of sequence ui.\n' | b'5/91\n' | b'Two letters picked without replacement from oouoouuoiuuooi. Give prob of sequence ui.\n' | b'5/91\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fpnuhapnunp. What is prob of sequence uun?\n' | b'1/165\n' | b'Three letters picked without replacement from fpnuhapnunp. What is prob of sequence uun?\n' | b'1/165\n' | deepmind/math_dataset |
b'Simplify ((r/(r/(r*(r**(-2/15)/r*r)/r))*r)/((r/((r**3*r)/r))/r))**(-3) assuming r is positive.\n' | b'r**(-58/5)\n' | b'Simplify ((r/(r/(r*(r**(-2/15)/r*r)/r))*r)/((r/((r**3*r)/r))/r))**(-3) assuming r is positive.\n' | b'r**(-58/5)\n' | deepmind/math_dataset |
b'Suppose i = -3*s + 18, i + 4*s = 4*i + 11. Let a(o) = -2*o**2 - 3*o + 7. Let l(m) = -2*m**2 - 2*m + 6. Let q(y) = 3*a(y) - 4*l(y). What is q(i)?\n' | b'12\n' | b'Suppose i = -3*s + 18, i + 4*s = 4*i + 11. Let a(o) = -2*o**2 - 3*o + 7. Let l(m) = -2*m**2 - 2*m + 6. Let q(y) = 3*a(y) - 4*l(y). What is q(i)?\n' | b'12\n' | deepmind/math_dataset |
b'What is prob of sequence onb when three letters picked without replacement from {z: 1, b: 1, o: 1, n: 1, w: 1}?\n' | b'1/60\n' | b'What is prob of sequence onb when three letters picked without replacement from {z: 1, b: 1, o: 1, n: 1, w: 1}?\n' | b'1/60\n' | deepmind/math_dataset |
b'Let k(v) = v**3 + v**2 + v. Let x be k(0). Suppose 45 = -x*y + 5*y. Solve -5*b = -o - y, 6*o - 3*o + 4*b = -8 for o.\n' | b'-4\n' | b'Let k(v) = v**3 + v**2 + v. Let x be k(0). Suppose 45 = -x*y + 5*y. Solve -5*b = -o - y, 6*o - 3*o + 4*b = -8 for o.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 1 h and 1 l when two letters picked without replacement from {l: 13, h: 5}?\n' | b'65/153\n' | b'What is prob of picking 1 h and 1 l when two letters picked without replacement from {l: 13, h: 5}?\n' | b'65/153\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zzzyzzyddzdz. Give prob of picking 4 z.\n' | b'7/99\n' | b'Four letters picked without replacement from zzzyzzyddzdz. Give prob of picking 4 z.\n' | b'7/99\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 1, m: 1, d: 1, j: 2}. What is prob of sequence emd?\n' | b'1/60\n' | b'Three letters picked without replacement from {e: 1, m: 1, d: 1, j: 2}. What is prob of sequence emd?\n' | b'1/60\n' | deepmind/math_dataset |
b'What is the third derivative of 910*n**2 + 534*n**2 - 94*n**4 + n**3 - 12*n**2 + 85*n**2 wrt n?\n' | b'-2256*n + 6\n' | b'What is the third derivative of 910*n**2 + 534*n**2 - 94*n**4 + n**3 - 12*n**2 + 85*n**2 wrt n?\n' | b'-2256*n + 6\n' | deepmind/math_dataset |
b'Calculate prob of sequence ig when two letters picked without replacement from iiiiigii.\n' | b'1/8\n' | b'Calculate prob of sequence ig when two letters picked without replacement from iiiiigii.\n' | b'1/8\n' | deepmind/math_dataset |
b'Let m be ((-6)/(-7))/(4/14). Let u(b) = b**2 - 6. Let h be u(m). Solve w + 7 = -2*r, 2*r - 4*w + h*w = -9 for r.\n' | b'-4\n' | b'Let m be ((-6)/(-7))/(4/14). Let u(b) = b**2 - 6. Let h be u(m). Solve w + 7 = -2*r, 2*r - 4*w + h*w = -9 for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (h*h*h*h**(-1/6)/h)/h**(2/11) assuming h is positive.\n' | b'h**(109/66)\n' | b'Simplify (h*h*h*h**(-1/6)/h)/h**(2/11) assuming h is positive.\n' | b'h**(109/66)\n' | deepmind/math_dataset |
b'Simplify i**(-47)/i**34 assuming i is positive.\n' | b'i**(-81)\n' | b'Simplify i**(-47)/i**34 assuming i is positive.\n' | b'i**(-81)\n' | deepmind/math_dataset |
b'Suppose -15*k + 11*k = -4. Suppose -4*t + 6 = j, j + k - 5 = -2*t. Let d(m) = 11*m + 6 - 5*m - 5*m - j*m. Calculate d(5).\n' | b'1\n' | b'Suppose -15*k + 11*k = -4. Suppose -4*t + 6 = j, j + k - 5 = -2*t. Let d(m) = 11*m + 6 - 5*m - 5*m - j*m. Calculate d(5).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (x**(2/143)/x*x**(15/7))/(x/x**23*x*x/(x/x**(-3/13))*x) assuming x is positive.\n' | b'x**(21409/1001)\n' | b'Simplify (x**(2/143)/x*x**(15/7))/(x/x**23*x*x/(x/x**(-3/13))*x) assuming x is positive.\n' | b'x**(21409/1001)\n' | deepmind/math_dataset |
b'Suppose 22*a - 6*a - 2 = 15*a. Solve 5*y - 4*h - 20 = 0, 3*y + 12 = 6*y - a*h for y.\n' | b'4\n' | b'Suppose 22*a - 6*a - 2 = 15*a. Solve 5*y - 4*h - 20 = 0, 3*y + 12 = 6*y - a*h for y.\n' | b'4\n' | deepmind/math_dataset |
b'Let i(w) = w**3 - 3*w**2 - 29*w + 3. Let k be i(-4). Let r(f) = f**2 - 8*f + 7. What is r(k)?\n' | b'0\n' | b'Let i(w) = w**3 - 3*w**2 - 29*w + 3. Let k be i(-4). Let r(f) = f**2 - 8*f + 7. What is r(k)?\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 2 v, 1 e, and 1 x when four letters picked without replacement from {m: 2, e: 2, x: 1, n: 1, b: 1, v: 7}?\n' | b'6/143\n' | b'What is prob of picking 2 v, 1 e, and 1 x when four letters picked without replacement from {m: 2, e: 2, x: 1, n: 1, b: 1, v: 7}?\n' | b'6/143\n' | deepmind/math_dataset |
b'Let c(r) = r**3 - 8*r**2 - r + 8. Suppose -4*m - 12 = -l + 8, -5*l - 5*m + 25 = 0. What is c(l)?\n' | b'0\n' | b'Let c(r) = r**3 - 8*r**2 - r + 8. Suppose -4*m - 12 = -l + 8, -5*l - 5*m + 25 = 0. What is c(l)?\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 0 = k - 0*z - z, -15 = -5*z. Suppose 2 = 3*f - d - 1, -k*f - 3*d + 15 = 0. Let u(g) = 9 + g**f - 1 + 6*g - 9. Calculate u(-7).\n' | b'6\n' | b'Suppose 0 = k - 0*z - z, -15 = -5*z. Suppose 2 = 3*f - d - 1, -k*f - 3*d + 15 = 0. Let u(g) = 9 + g**f - 1 + 6*g - 9. Calculate u(-7).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((v/v**(-5)*v)/v*(v**(-2/39)*v)/v)/(v**(3/5)/(v**(6/11)*v)) assuming v is positive.\n' | b'v**(14788/2145)\n' | b'Simplify ((v/v**(-5)*v)/v*(v**(-2/39)*v)/v)/(v**(3/5)/(v**(6/11)*v)) assuming v is positive.\n' | b'v**(14788/2145)\n' | deepmind/math_dataset |
b'What is the derivative of 19 + 13*f**2 + 6*f**2 - 4*f**2 wrt f?\n' | b'30*f\n' | b'What is the derivative of 19 + 13*f**2 + 6*f**2 - 4*f**2 wrt f?\n' | b'30*f\n' | deepmind/math_dataset |
b'Let z(i) = -9*i**2 + 5*i + 4. Let r be z(-1). Let k be 1/(-2)*-1 - 365/r. What is the derivative of 36*g**4 - k*g**4 - 5 + 8 wrt g?\n' | b'-4*g**3\n' | b'Let z(i) = -9*i**2 + 5*i + 4. Let r be z(-1). Let k be 1/(-2)*-1 - 365/r. What is the derivative of 36*g**4 - k*g**4 - 5 + 8 wrt g?\n' | b'-4*g**3\n' | deepmind/math_dataset |
b'Let g(t) = t**2 + 4*t + 3. Let m be g(-4). Differentiate 5 - 7*u**m - 2 + u**3 with respect to u.\n' | b'-18*u**2\n' | b'Let g(t) = t**2 + 4*t + 3. Let m be g(-4). Differentiate 5 - 7*u**m - 2 + u**3 with respect to u.\n' | b'-18*u**2\n' | deepmind/math_dataset |
b'Simplify ((m*m*(m/(m*m**(-3)))/m*m*m)**(-2/25)*(m**2)**32)**(-18) assuming m is positive.\n' | b'm**(-28584/25)\n' | b'Simplify ((m*m*(m/(m*m**(-3)))/m*m*m)**(-2/25)*(m**2)**32)**(-18) assuming m is positive.\n' | b'm**(-28584/25)\n' | deepmind/math_dataset |
b'Let v(p) = -4*p + 2. Let m(u) be the first derivative of -u**2 + u - 1. Let i(z) = 5*m(z) - 2*v(z). Calculate i(-4).\n' | b'9\n' | b'Let v(p) = -4*p + 2. Let m(u) be the first derivative of -u**2 + u - 1. Let i(z) = 5*m(z) - 2*v(z). Calculate i(-4).\n' | b'9\n' | deepmind/math_dataset |
b'Let d = -31 - -31. Solve o - 5*h = d, -o = -3*h + 4*h - 6 for o.\n' | b'5\n' | b'Let d = -31 - -31. Solve o - 5*h = d, -o = -3*h + 4*h - 6 for o.\n' | b'5\n' | deepmind/math_dataset |
b'Let a = -45 + 49. Let l be -6*15/(-9)*a/10. Solve l*t = 5*k - 15 - 6, 2*k = 5*t + 5 for t.\n' | b'1\n' | b'Let a = -45 + 49. Let l be -6*15/(-9)*a/10. Solve l*t = 5*k - 15 - 6, 2*k = 5*t + 5 for t.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 1 i when two letters picked without replacement from {c: 2, f: 1, i: 1, e: 1, w: 2}?\n' | b'1/21\n' | b'What is prob of picking 1 e and 1 i when two letters picked without replacement from {c: 2, f: 1, i: 1, e: 1, w: 2}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Suppose -n + 12 = 8. Let r be (16 - 14) + 1*10 - n. Let d(b) = 11*b - r*b - 3*b - b + 20. Calculate d(0).\n' | b'20\n' | b'Suppose -n + 12 = 8. Let r be (16 - 14) + 1*10 - n. Let d(b) = 11*b - r*b - 3*b - b + 20. Calculate d(0).\n' | b'20\n' | deepmind/math_dataset |
b'Simplify (t*t**(-9))/t**(11/3) assuming t is positive.\n' | b't**(-35/3)\n' | b'Simplify (t*t**(-9))/t**(11/3) assuming t is positive.\n' | b't**(-35/3)\n' | deepmind/math_dataset |
b'Let f = 45 - 52. Let k be 5/((-30)/168)*f/2. Let g = k + -93. Solve h = 2*h + 3*q - 9, -h = -4*q + g for h.\n' | b'3\n' | b'Let f = 45 - 52. Let k be 5/((-30)/168)*f/2. Let g = k + -93. Solve h = 2*h + 3*q - 9, -h = -4*q + g for h.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 3 + 9 = 4*d. What is the second derivative of v**4 - 2*v**4 + d*v + 9*v**4 wrt v?\n' | b'96*v**2\n' | b'Suppose 3 + 9 = 4*d. What is the second derivative of v**4 - 2*v**4 + d*v + 9*v**4 wrt v?\n' | b'96*v**2\n' | deepmind/math_dataset |
b'Let z(j) = 3*j**2 - 3*j + 2 - 10*j**3 - 4*j**3 + 10*j**3 + 7*j**3. Calculate z(-3).\n' | b'-43\n' | b'Let z(j) = 3*j**2 - 3*j + 2 - 10*j**3 - 4*j**3 + 10*j**3 + 7*j**3. Calculate z(-3).\n' | b'-43\n' | deepmind/math_dataset |
b'Suppose 4 = -2*r - j, -3*j - 12 = -3*r + 4*r. Suppose 0 = -r*p + p - 6. Let x be 15/6 + (-3)/p. Solve -16 = -x*u - 3*z, -u - 3*z = -4*z - 3 for u.\n' | b'5\n' | b'Suppose 4 = -2*r - j, -3*j - 12 = -3*r + 4*r. Suppose 0 = -r*p + p - 6. Let x be 15/6 + (-3)/p. Solve -16 = -x*u - 3*z, -u - 3*z = -4*z - 3 for u.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 k and 1 c when four letters picked without replacement from ckkckkcccckkckkcckc.\n' | b'70/323\n' | b'Calculate prob of picking 3 k and 1 c when four letters picked without replacement from ckkckkcccckkckkcckc.\n' | b'70/323\n' | deepmind/math_dataset |
b'Let z = 8 + -11. Let a = z + 5. Suppose a*x = 5*x. Solve x = -5*p + 3*w - 28, 5*p + 5*w + 0 = -20 for p.\n' | b'-5\n' | b'Let z = 8 + -11. Let a = z + 5. Suppose a*x = 5*x. Solve x = -5*p + 3*w - 28, 5*p + 5*w + 0 = -20 for p.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((v**(-2/13)/(v**(-6)/v))/(v**3/(v**2/v)))/((v/v**0)**(-17/5)*v**(2/3)/v*(v**(-1/3)*v)/v) assuming v is positive.\n' | b'v**(1738/195)\n' | b'Simplify ((v**(-2/13)/(v**(-6)/v))/(v**3/(v**2/v)))/((v/v**0)**(-17/5)*v**(2/3)/v*(v**(-1/3)*v)/v) assuming v is positive.\n' | b'v**(1738/195)\n' | deepmind/math_dataset |
b'Simplify (w**(-11/3))**34 assuming w is positive.\n' | b'w**(-374/3)\n' | b'Simplify (w**(-11/3))**34 assuming w is positive.\n' | b'w**(-374/3)\n' | deepmind/math_dataset |
b'Let x = -547 - -556. Suppose 8*m = -x*m. Solve 9*h - 4*h = -t + 10, -2*h + 3*t - 13 = m for h.\n' | b'1\n' | b'Let x = -547 - -556. Suppose 8*m = -x*m. Solve 9*h - 4*h = -t + 10, -2*h + 3*t - 13 = m for h.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (x**(3/2))**(-18) assuming x is positive.\n' | b'x**(-27)\n' | b'Simplify (x**(3/2))**(-18) assuming x is positive.\n' | b'x**(-27)\n' | deepmind/math_dataset |
b'What is prob of sequence dm when two letters picked without replacement from {d: 1, k: 9, h: 2, m: 6}?\n' | b'1/51\n' | b'What is prob of sequence dm when two letters picked without replacement from {d: 1, k: 9, h: 2, m: 6}?\n' | b'1/51\n' | deepmind/math_dataset |
b'Suppose -24 = -4*r + 2*a, 0 = 2*r + a - 5 + 1. Let m(l) = 4*l + 4 + 0*l**3 + l**3 + l**2 - 6*l**2. Let c be m(r). Solve 0*x = 4*x - c*d, 3*x - d + 8 = 0 for x.\n' | b'-4\n' | b'Suppose -24 = -4*r + 2*a, 0 = 2*r + a - 5 + 1. Let m(l) = 4*l + 4 + 0*l**3 + l**3 + l**2 - 6*l**2. Let c be m(r). Solve 0*x = 4*x - c*d, 3*x - d + 8 = 0 for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (v/(v/(v*v/(v/(v/(v/(v/(v/((v*v**7)/v))))*v))*v))*v**(-11)*v*v)/(v/(v*((v**(-11/5)/v*v)/v)/v)*(v*v**(1/4))/v*v) assuming v is positive.\n' | b'v**(-89/20)\n' | b'Simplify (v/(v/(v*v/(v/(v/(v/(v/(v/((v*v**7)/v))))*v))*v))*v**(-11)*v*v)/(v/(v*((v**(-11/5)/v*v)/v)/v)*(v*v**(1/4))/v*v) assuming v is positive.\n' | b'v**(-89/20)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kllkkkk. Give prob of picking 4 k.\n' | b'1/7\n' | b'Four letters picked without replacement from kllkkkk. Give prob of picking 4 k.\n' | b'1/7\n' | deepmind/math_dataset |
b'Let h(u) = 5*u**2 - 2*u + 3. Let s be h(2). What is the third derivative of 14*g**6 + 7*g**2 + s*g**6 - 17*g**6 wrt g?\n' | b'1920*g**3\n' | b'Let h(u) = 5*u**2 - 2*u + 3. Let s be h(2). What is the third derivative of 14*g**6 + 7*g**2 + s*g**6 - 17*g**6 wrt g?\n' | b'1920*g**3\n' | deepmind/math_dataset |
b'Let q(u) = -12*u + 920209 + 920207 - 1840416. Determine q(2).\n' | b'-24\n' | b'Let q(u) = -12*u + 920209 + 920207 - 1840416. Determine q(2).\n' | b'-24\n' | deepmind/math_dataset |
b'Find the third derivative of -23*r**4 + 702*r**3 + 18*r**2 - 702*r**3 wrt r.\n' | b'-552*r\n' | b'Find the third derivative of -23*r**4 + 702*r**3 + 18*r**2 - 702*r**3 wrt r.\n' | b'-552*r\n' | deepmind/math_dataset |
b'Simplify (a**(-2/5))**(-4/9)/(a**0*a**1/a) assuming a is positive.\n' | b'a**(8/45)\n' | b'Simplify (a**(-2/5))**(-4/9)/(a**0*a**1/a) assuming a is positive.\n' | b'a**(8/45)\n' | deepmind/math_dataset |
b'Let q(t) be the second derivative of 61*t**7/21 - 17*t**4/12 - 32*t. Find the third derivative of q(m) wrt m.\n' | b'7320*m**2\n' | b'Let q(t) be the second derivative of 61*t**7/21 - 17*t**4/12 - 32*t. Find the third derivative of q(m) wrt m.\n' | b'7320*m**2\n' | deepmind/math_dataset |
b'Let y(f) be the third derivative of 436*f**7/21 - 914*f**3 - 2637*f**2. Find the first derivative of y(i) wrt i.\n' | b'17440*i**3\n' | b'Let y(f) be the third derivative of 436*f**7/21 - 914*f**3 - 2637*f**2. Find the first derivative of y(i) wrt i.\n' | b'17440*i**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {u: 1, l: 1, t: 1}.\n' | b'1/3\n' | b'Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {u: 1, l: 1, t: 1}.\n' | b'1/3\n' | deepmind/math_dataset |
b'Suppose -5*w + r + 3*r = -36, -2*r + 12 = 5*w. Solve w*o - 3 - 9 = 0, -4*j = 4*o - 20 for j.\n' | b'2\n' | b'Suppose -5*w + r + 3*r = -36, -2*r + 12 = 5*w. Solve w*o - 3 - 9 = 0, -4*j = 4*o - 20 for j.\n' | b'2\n' | deepmind/math_dataset |
b'Let t(v) = -1016*v**3 + 190. Let s(q) = -339*q**3 + 62. Let m(h) = -7*s(h) + 2*t(h). Find the first derivative of m(r) wrt r.\n' | b'1023*r**2\n' | b'Let t(v) = -1016*v**3 + 190. Let s(q) = -339*q**3 + 62. Let m(h) = -7*s(h) + 2*t(h). Find the first derivative of m(r) wrt r.\n' | b'1023*r**2\n' | deepmind/math_dataset |
b'Let v be (-5 + (-39)/(-9))/(2/(-3)). Let t be (-9 - -1)*-4 - (v - -2). Solve 8*a - 3*x - 37 = 3*a, -x - t = -5*a for a.\n' | b'5\n' | b'Let v be (-5 + (-39)/(-9))/(2/(-3)). Let t be (-9 - -1)*-4 - (v - -2). Solve 8*a - 3*x - 37 = 3*a, -x - t = -5*a for a.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q and 1 t when three letters picked without replacement from hpphhttpqqhf.\n' | b'1/110\n' | b'Calculate prob of picking 2 q and 1 t when three letters picked without replacement from hpphhttpqqhf.\n' | b'1/110\n' | deepmind/math_dataset |
b'Let u(a) = 6237*a**3 + 5*a**2 + 15*a - 7281. Let i(y) = -3119*y**3 - 3*y**2 - 9*y + 3640. Let o(v) = -5*i(v) - 3*u(v). Differentiate o(m) wrt m.\n' | b'-9348*m**2\n' | b'Let u(a) = 6237*a**3 + 5*a**2 + 15*a - 7281. Let i(y) = -3119*y**3 - 3*y**2 - 9*y + 3640. Let o(v) = -5*i(v) - 3*u(v). Differentiate o(m) wrt m.\n' | b'-9348*m**2\n' | deepmind/math_dataset |
b'Let k(y) be the first derivative of y**2/2 - 7*y + 1. Let w = 1 - -3. Suppose -23 = 3*x - 5*j, -4*j = x - 2 + w. Give k(x).\n' | b'-13\n' | b'Let k(y) be the first derivative of y**2/2 - 7*y + 1. Let w = 1 - -3. Suppose -23 = 3*x - 5*j, -4*j = x - 2 + w. Give k(x).\n' | b'-13\n' | deepmind/math_dataset |
b'Suppose 2*m + 3*m = m. Solve m = 2*d + 3*f - 4, d - 4*d - 5*f = -6 for d.\n' | b'2\n' | b'Suppose 2*m + 3*m = m. Solve m = 2*d + 3*f - 4, d - 4*d - 5*f = -6 for d.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ffzfztzttfftf. Give prob of sequence ff.\n' | b'5/26\n' | b'Two letters picked without replacement from ffzfztzttfftf. Give prob of sequence ff.\n' | b'5/26\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vdpxxdzdxhdh. Give prob of picking 1 h, 1 v, and 1 d.\n' | b'2/55\n' | b'Three letters picked without replacement from vdpxxdzdxhdh. Give prob of picking 1 h, 1 v, and 1 d.\n' | b'2/55\n' | deepmind/math_dataset |
b'Let o(w) = 8 + 0*w**3 - w**3 + 7*w - 2 - 4*w**2 - 2. Let p be 10*((-6)/(-3))/(-4). Determine o(p).\n' | b'-6\n' | b'Let o(w) = 8 + 0*w**3 - w**3 + 7*w - 2 - 4*w**2 - 2. Let p be 10*((-6)/(-3))/(-4). Determine o(p).\n' | b'-6\n' | deepmind/math_dataset |
b'What is the derivative of -74 - 6*u**2 + 19*u**2 - 72*u**2 + 27*u**2 wrt u?\n' | b'-64*u\n' | b'What is the derivative of -74 - 6*u**2 + 19*u**2 - 72*u**2 + 27*u**2 wrt u?\n' | b'-64*u\n' | deepmind/math_dataset |
b'Let v(s) = s - 4*s + 4*s - 4 - 2*s. Let f be v(-6). Let k be (-16 - -12)*f/(-8). Solve -4*l = -2*m + 5 + 5, 0 = -2*l - 3*m - k for l.\n' | b'-2\n' | b'Let v(s) = s - 4*s + 4*s - 4 - 2*s. Let f be v(-6). Let k be (-16 - -12)*f/(-8). Solve -4*l = -2*m + 5 + 5, 0 = -2*l - 3*m - k for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 1, e: 4, h: 1, r: 2, s: 1}. What is prob of sequence seer?\n' | b'1/126\n' | b'Four letters picked without replacement from {q: 1, e: 4, h: 1, r: 2, s: 1}. What is prob of sequence seer?\n' | b'1/126\n' | deepmind/math_dataset |
b'Let o = 58 - 38. Suppose 3*q = -2*q - o. Let l be q/(-4) + -1 + 0. Solve 3*g + 12 = l, 4*k + 0*g = 4*g + 12 for k.\n' | b'-1\n' | b'Let o = 58 - 38. Suppose 3*q = -2*q - o. Let l be q/(-4) + -1 + 0. Solve 3*g + 12 = l, 4*k + 0*g = 4*g + 12 for k.\n' | b'-1\n' | deepmind/math_dataset |
b'Let d(b) = -11*b + 1. Let u be d(-1). Let h = 20 - u. What is the second derivative of 4*r + h*r + 14*r**2 - 3*r + 0*r wrt r?\n' | b'28\n' | b'Let d(b) = -11*b + 1. Let u be d(-1). Let h = 20 - u. What is the second derivative of 4*r + h*r + 14*r**2 - 3*r + 0*r wrt r?\n' | b'28\n' | deepmind/math_dataset |
b'Let o(v) be the first derivative of -v**4/4 - 5*v**3/3 - 2*v**2 + 2*v + 4. Let s be o(-4). Let m = 24 - 17. Solve 2*c - 4*k = 16, -2*c - 1 + m = -s*k for c.\n' | b'-2\n' | b'Let o(v) be the first derivative of -v**4/4 - 5*v**3/3 - 2*v**2 + 2*v + 4. Let s be o(-4). Let m = 24 - 17. Solve 2*c - 4*k = 16, -2*c - 1 + m = -s*k for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((y/((y*y*y**(6/5))/y))/y)/(((y*y*y**(2/11)*y)/y)/y) assuming y is positive.\n' | b'y**(-186/55)\n' | b'Simplify ((y/((y*y*y**(6/5))/y))/y)/(((y*y*y**(2/11)*y)/y)/y) assuming y is positive.\n' | b'y**(-186/55)\n' | deepmind/math_dataset |
b'Suppose -44 = -j - 3*m + 37, 5*m + 195 = 2*j. Find the third derivative of -j*p**3 - 75*p**3 - 94*p**2 - 12*p**2 - 46*p**3 wrt p.\n' | b'-1266\n' | b'Suppose -44 = -j - 3*m + 37, 5*m + 195 = 2*j. Find the third derivative of -j*p**3 - 75*p**3 - 94*p**2 - 12*p**2 - 46*p**3 wrt p.\n' | b'-1266\n' | deepmind/math_dataset |
b'What is prob of sequence irrr when four letters picked without replacement from {i: 1, r: 3, l: 1}?\n' | b'1/20\n' | b'What is prob of sequence irrr when four letters picked without replacement from {i: 1, r: 3, l: 1}?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let o(q) = -2*q**2 + 2*q + 3. Suppose 801 = -7*g - 3203. Let v = g - -577. Calculate o(v).\n' | b'-37\n' | b'Let o(q) = -2*q**2 + 2*q + 3. Suppose 801 = -7*g - 3203. Let v = g - -577. Calculate o(v).\n' | b'-37\n' | deepmind/math_dataset |
b'What is the third derivative of 86*v**4 - 445*v**6 + 2271*v**2 - 88*v**4 + 3297*v**2 wrt v?\n' | b'-53400*v**3 - 48*v\n' | b'What is the third derivative of 86*v**4 - 445*v**6 + 2271*v**2 - 88*v**4 + 3297*v**2 wrt v?\n' | b'-53400*v**3 - 48*v\n' | deepmind/math_dataset |
b'Let k(d) = d**2 - 4*d - 4. Let v(h) = -h**3 - 7*h**2 - h. Let o be v(-7). Suppose -3*j + 60 = o*j. What is k(j)?\n' | b'8\n' | b'Let k(d) = d**2 - 4*d - 4. Let v(h) = -h**3 - 7*h**2 - h. Let o be v(-7). Suppose -3*j + 60 = o*j. What is k(j)?\n' | b'8\n' | deepmind/math_dataset |
b'Let a be (-20)/(-3)*18/15. Suppose -3*y + a = y. Let x be 0 - (-1 - -8)/(-1). Solve 8 = 5*v + 4*b, -x*v + y*v - b + 17 = 0 for v.\n' | b'4\n' | b'Let a be (-20)/(-3)*18/15. Suppose -3*y + a = y. Let x be 0 - (-1 - -8)/(-1). Solve 8 = 5*v + 4*b, -x*v + y*v - b + 17 = 0 for v.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 3 w when three letters picked without replacement from wwwwwwwwwwwwwywwwwy?\n' | b'40/57\n' | b'What is prob of picking 3 w when three letters picked without replacement from wwwwwwwwwwwwwywwwwy?\n' | b'40/57\n' | deepmind/math_dataset |
b'Let f be (-4)/(-3 - 62/(-22)). Differentiate -9 - 11*k + 19*k**3 - 8*k + 12 - f*k**3 wrt k.\n' | b'-9*k**2 - 19\n' | b'Let f be (-4)/(-3 - 62/(-22)). Differentiate -9 - 11*k + 19*k**3 - 8*k + 12 - f*k**3 wrt k.\n' | b'-9*k**2 - 19\n' | deepmind/math_dataset |
b'Let n(q) = q**3 - 7*q - 1 - 8*q + 2 + 18*q. Let a(r) = 69*r**3 + 18*r - 125. Let c(p) = a(p) - 6*n(p). Differentiate c(v) wrt v.\n' | b'189*v**2\n' | b'Let n(q) = q**3 - 7*q - 1 - 8*q + 2 + 18*q. Let a(r) = 69*r**3 + 18*r - 125. Let c(p) = a(p) - 6*n(p). Differentiate c(v) wrt v.\n' | b'189*v**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 1, s: 1, i: 1, y: 1, h: 1}. What is prob of sequence uh?\n' | b'1/20\n' | b'Two letters picked without replacement from {u: 1, s: 1, i: 1, y: 1, h: 1}. What is prob of sequence uh?\n' | b'1/20\n' | deepmind/math_dataset |
b'What is the second derivative of -75 + 75 - 2*i**3 - 2*i - 2*i wrt i?\n' | b'-12*i\n' | b'What is the second derivative of -75 + 75 - 2*i**3 - 2*i - 2*i wrt i?\n' | b'-12*i\n' | deepmind/math_dataset |
b'Let o(p) = -p**2 + 7*p - 7. Suppose -4 + 10 = f. Determine o(f).\n' | b'-1\n' | b'Let o(p) = -p**2 + 7*p - 7. Suppose -4 + 10 = f. Determine o(f).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((s**7/s*s*s**(-4)/s)/(s/(s/(s*s*s**(-8)))*s/s**(-2/5)))**(-46) assuming s is positive.\n' | b's**(-1518/5)\n' | b'Simplify ((s**7/s*s*s**(-4)/s)/(s/(s/(s*s*s**(-8)))*s/s**(-2/5)))**(-46) assuming s is positive.\n' | b's**(-1518/5)\n' | deepmind/math_dataset |
b'What is prob of sequence uk when two letters picked without replacement from uukukukkuuuuuuuuuuu?\n' | b'10/57\n' | b'What is prob of sequence uk when two letters picked without replacement from uukukukkuuuuuuuuuuu?\n' | b'10/57\n' | deepmind/math_dataset |
b'Let y be 1*-4*(5/20 - 1). Suppose -u + 5*s = 5, 2*u + 3*u = y*s + 19. Solve -5 = -5*p, 0*g + u*p - 5 = -3*g for g.\n' | b'0\n' | b'Let y be 1*-4*(5/20 - 1). Suppose -u + 5*s = 5, 2*u + 3*u = y*s + 19. Solve -5 = -5*p, 0*g + u*p - 5 = -3*g for g.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence lli when three letters picked without replacement from {i: 2, l: 2, z: 1}?\n' | b'1/15\n' | b'What is prob of sequence lli when three letters picked without replacement from {i: 2, l: 2, z: 1}?\n' | b'1/15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {j: 6, r: 2, e: 3, m: 4}. Give prob of picking 4 m.\n' | b'1/1365\n' | b'Four letters picked without replacement from {j: 6, r: 2, e: 3, m: 4}. Give prob of picking 4 m.\n' | b'1/1365\n' | deepmind/math_dataset |
b'Suppose -a + 9 = 4*p - 3, -4*a = 4*p. Find the third derivative of -5*x**2 - 7*x**4 + 2*x**p + x**4 wrt x.\n' | b'-96*x\n' | b'Suppose -a + 9 = 4*p - 3, -4*a = 4*p. Find the third derivative of -5*x**2 - 7*x**4 + 2*x**p + x**4 wrt x.\n' | b'-96*x\n' | deepmind/math_dataset |
b'Let x(f) be the first derivative of f**6/6 - f**4/4 - f - 3. Let h(a) be the first derivative of x(a). What is the third derivative of h(g) wrt g?\n' | b'120*g\n' | b'Let x(f) be the first derivative of f**6/6 - f**4/4 - f - 3. Let h(a) be the first derivative of x(a). What is the third derivative of h(g) wrt g?\n' | b'120*g\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uuuzzzuzhhuzuhuzu. Give prob of sequence zzu.\n' | b'1/17\n' | b'Three letters picked without replacement from uuuzzzuzhhuzuhuzu. Give prob of sequence zzu.\n' | b'1/17\n' | deepmind/math_dataset |
b'Simplify ((r*(r/(r*r*(((r*r**1)/r)/r)/r*r))/r*r)**(-10))**26 assuming r is positive.\n' | b'1\n' | b'Simplify ((r*(r/(r*r*(((r*r**1)/r)/r)/r*r))/r*r)**(-10))**26 assuming r is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Let p(d) = -d**2 - 21*d - 61. Suppose -545 = 25*j - 120. Calculate p(j).\n' | b'7\n' | b'Let p(d) = -d**2 - 21*d - 61. Suppose -545 = 25*j - 120. Calculate p(j).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (((u/(u*u**(-13)*u*u*u))**(-5/13))**(-1/11))**(-27) assuming u is positive.\n' | b'u**(-1350/143)\n' | b'Simplify (((u/(u*u**(-13)*u*u*u))**(-5/13))**(-1/11))**(-27) assuming u is positive.\n' | b'u**(-1350/143)\n' | deepmind/math_dataset |
b'Let o(q) = -6*q**3 + 12*q - 11. Suppose 300 = -43*u + 343. Give o(u).\n' | b'-5\n' | b'Let o(q) = -6*q**3 + 12*q - 11. Suppose 300 = -43*u + 343. Give o(u).\n' | b'-5\n' | deepmind/math_dataset |
b'Let t(u) = -15*u**2 - 1. Let w(d) = d**3 - 6*d**2 + 4*d + 21. Let v be w(5). Let n be (-18 + v)*(-1)/(-4)*2. Determine t(n).\n' | b'-16\n' | b'Let t(u) = -15*u**2 - 1. Let w(d) = d**3 - 6*d**2 + 4*d + 21. Let v be w(5). Let n be (-18 + v)*(-1)/(-4)*2. Determine t(n).\n' | b'-16\n' | deepmind/math_dataset |
b'Let o be 7/5 - 2/5. Let h be (-4)/(-6) - 20/(-6). Suppose -h*t - o = -17. Solve -m - t*x = -0*x, -4*m = 5*x for m.\n' | b'0\n' | b'Let o be 7/5 - 2/5. Let h be (-4)/(-6) - 20/(-6). Suppose -h*t - o = -17. Solve -m - t*x = -0*x, -4*m = 5*x for m.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (x/(x/(x*x*x*x**(-2/7))))**(-43)*(x*x**(-5))/x**(-2/25)*(x**7/(x/x**(-1/8)))/(x**(-1/3)/x*x/x**(-7)) assuming x is positive.\n' | b'x**(-509989/4200)\n' | b'Simplify (x/(x/(x*x*x*x**(-2/7))))**(-43)*(x*x**(-5))/x**(-2/25)*(x**7/(x/x**(-1/8)))/(x**(-1/3)/x*x/x**(-7)) assuming x is positive.\n' | b'x**(-509989/4200)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pmmppm. Give prob of picking 2 p and 2 m.\n' | b'3/5\n' | b'Four letters picked without replacement from pmmppm. Give prob of picking 2 p and 2 m.\n' | b'3/5\n' | deepmind/math_dataset |
b'Simplify a**(-5)*a/(a/a**(2/15))*(a**(-1)/a)**(-3) assuming a is positive.\n' | b'a**(17/15)\n' | b'Simplify a**(-5)*a/(a/a**(2/15))*(a**(-1)/a)**(-3) assuming a is positive.\n' | b'a**(17/15)\n' | deepmind/math_dataset |
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