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'Simplify ((u/u**(-2))**(-38))**(8/17) assuming u is positive.\n' | b'u**(-912/17)\n' | b'Simplify ((u/u**(-2))**(-38))**(8/17) assuming u is positive.\n' | b'u**(-912/17)\n' | deepmind/math_dataset |
b'Simplify h/(h/(h/(h*(h**(-14)/h*h)/h)*h))*h*h**(-1/7)*h**(-4)/(h/(h/(h*(h**2/h)/h*h))) assuming h is positive.\n' | b'h**(76/7)\n' | b'Simplify h/(h/(h/(h*(h**(-14)/h*h)/h)*h))*h*h**(-1/7)*h**(-4)/(h/(h/(h*(h**2/h)/h*h))) assuming h is positive.\n' | b'h**(76/7)\n' | deepmind/math_dataset |
b'Suppose -5*g = -w - 24, g = 2*w + 3 - 0. What is the second derivative of -n + 489*n**4 - 481*n**4 - 10*n - 2*n + n - 6*n**g - 1 wrt n?\n' | b'-120*n**3 + 96*n**2\n' | b'Suppose -5*g = -w - 24, g = 2*w + 3 - 0. What is the second derivative of -n + 489*n**4 - 481*n**4 - 10*n - 2*n + n - 6*n**g - 1 wrt n?\n' | b'-120*n**3 + 96*n**2\n' | deepmind/math_dataset |
b'Let z(b) be the first derivative of 13*b**2/2 - 86*b - 27. Let g be z(7). Solve -25 = 5*t, -3*n + g*t + 14 = -20 for n.\n' | b'3\n' | b'Let z(b) be the first derivative of 13*b**2/2 - 86*b - 27. Let g be z(7). Solve -25 = 5*t, -3*n + g*t + 14 = -20 for n.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 1, d: 1, f: 2, l: 1, t: 5, m: 6}. Give prob of picking 2 m and 1 f.\n' | b'3/56\n' | b'Three letters picked without replacement from {r: 1, d: 1, f: 2, l: 1, t: 5, m: 6}. Give prob of picking 2 m and 1 f.\n' | b'3/56\n' | deepmind/math_dataset |
b'Suppose -794*t + 791*t + 9 = 0. Suppose 4*r - 84 = -5*k - 22, -3 = -r. Let h be ((-25)/k)/((-1)/2). Solve -x = t, -h*x - 16 = -z - x for z.\n' | b'4\n' | b'Suppose -794*t + 791*t + 9 = 0. Suppose 4*r - 84 = -5*k - 22, -3 = -r. Let h be ((-25)/k)/((-1)/2). Solve -x = t, -h*x - 16 = -z - x for z.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify z**(-1/3)*z*z**2*z*z*z/z**(-1/10)*z**(1/3)/z assuming z is positive.\n' | b'z**(51/10)\n' | b'Simplify z**(-1/3)*z*z**2*z*z*z/z**(-1/10)*z**(1/3)/z assuming z is positive.\n' | b'z**(51/10)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 b when three letters picked without replacement from lbblbbbbbb.\n' | b'7/15\n' | b'Calculate prob of picking 3 b when three letters picked without replacement from lbblbbbbbb.\n' | b'7/15\n' | deepmind/math_dataset |
b'Let i = -133 + 153. What is the second derivative of 16*v - 21*v**2 + 20*v - 63*v - v**5 + i*v wrt v?\n' | b'-20*v**3 - 42\n' | b'Let i = -133 + 153. What is the second derivative of 16*v - 21*v**2 + 20*v - 63*v - v**5 + i*v wrt v?\n' | b'-20*v**3 - 42\n' | deepmind/math_dataset |
b'What is prob of picking 3 d when three letters picked without replacement from zddhhzzzheedhzh?\n' | b'1/455\n' | b'What is prob of picking 3 d when three letters picked without replacement from zddhhzzzheedhzh?\n' | b'1/455\n' | deepmind/math_dataset |
b'Let z(c) = -c + 30. Let n(t) = 2*t + 57. Let l be n(-16). Let a(k) = -5*k + 180. Let y(s) = l*z(s) - 4*a(s). Differentiate y(r) wrt r.\n' | b'-5\n' | b'Let z(c) = -c + 30. Let n(t) = 2*t + 57. Let l be n(-16). Let a(k) = -5*k + 180. Let y(s) = l*z(s) - 4*a(s). Differentiate y(r) wrt r.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence yl when two letters picked without replacement from {h: 2, x: 3, l: 10, y: 5}.\n' | b'5/38\n' | b'Calculate prob of sequence yl when two letters picked without replacement from {h: 2, x: 3, l: 10, y: 5}.\n' | b'5/38\n' | deepmind/math_dataset |
b'Let h(g) be the first derivative of -g**5/5 - g**2 + 3*g + 3. Let c(n) be the first derivative of h(n). Differentiate c(i) with respect to i.\n' | b'-12*i**2\n' | b'Let h(g) be the first derivative of -g**5/5 - g**2 + 3*g + 3. Let c(n) be the first derivative of h(n). Differentiate c(i) with respect to i.\n' | b'-12*i**2\n' | deepmind/math_dataset |
b'Simplify (a**(-1/3))**17*(a/a**1)**(-15) assuming a is positive.\n' | b'a**(-17/3)\n' | b'Simplify (a**(-1/3))**17*(a/a**1)**(-15) assuming a is positive.\n' | b'a**(-17/3)\n' | deepmind/math_dataset |
b'Simplify ((a**(-2/3))**(4/9)/(a**(4/5)/(a*a**(2/19))))/((a/(a**0*a))**(-1)/((a/(a*a**(-2)))/a**(-6))) assuming a is positive.\n' | b'a**(20543/2565)\n' | b'Simplify ((a**(-2/3))**(4/9)/(a**(4/5)/(a*a**(2/19))))/((a/(a**0*a))**(-1)/((a/(a*a**(-2)))/a**(-6))) assuming a is positive.\n' | b'a**(20543/2565)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 1, q: 10, j: 1, l: 5}. Give prob of picking 1 l and 1 k.\n' | b'5/136\n' | b'Two letters picked without replacement from {k: 1, q: 10, j: 1, l: 5}. Give prob of picking 1 l and 1 k.\n' | b'5/136\n' | deepmind/math_dataset |
b'Let h be 3/(0 + (-1)/2). Let l(t) be the third derivative of t**4/24 - t**3/6 + 8*t**2. Determine l(h).\n' | b'-7\n' | b'Let h be 3/(0 + (-1)/2). Let l(t) be the third derivative of t**4/24 - t**3/6 + 8*t**2. Determine l(h).\n' | b'-7\n' | deepmind/math_dataset |
b'Let c(j) be the second derivative of -17*j**6/30 + j**4/12 - 11*j**3/3 + 206*j. What is the second derivative of c(n) wrt n?\n' | b'-204*n**2 + 2\n' | b'Let c(j) be the second derivative of -17*j**6/30 + j**4/12 - 11*j**3/3 + 206*j. What is the second derivative of c(n) wrt n?\n' | b'-204*n**2 + 2\n' | deepmind/math_dataset |
b'Suppose -9*t + 2 = -8*t. Let g(s) = -9 + 5 - 2*s - t*s - 2*s. Suppose -5*d = 3*q - 0*q + 5, 37 = -3*d + 5*q. Give g(d).\n' | b'20\n' | b'Suppose -9*t + 2 = -8*t. Let g(s) = -9 + 5 - 2*s - t*s - 2*s. Suppose -5*d = 3*q - 0*q + 5, 37 = -3*d + 5*q. Give g(d).\n' | b'20\n' | deepmind/math_dataset |
b'Let a(i) = 3*i - 39. Let c be a(14). Let v(g) = -11*g**3 + 7*g**2 + 6*g. Let y be v(-1). Solve o - c*k + y = 0, o - 6*k + k = -18 for o.\n' | b'-3\n' | b'Let a(i) = 3*i - 39. Let c be a(14). Let v(g) = -11*g**3 + 7*g**2 + 6*g. Let y be v(-1). Solve o - c*k + y = 0, o - 6*k + k = -18 for o.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 56*w + 55 = 67*w. Solve 5*m + 5 = w*d, -5*m = -4*d - 4*m + 7 for d.\n' | b'2\n' | b'Suppose 56*w + 55 = 67*w. Solve 5*m + 5 = w*d, -5*m = -4*d - 4*m + 7 for d.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (((j/j**0)/j*j)**30*(j**(-2/3))**(-38))/(j**(2/31)*j**(-2))**(-3/7) assuming j is positive.\n' | b'j**(35482/651)\n' | b'Simplify (((j/j**0)/j*j)**30*(j**(-2/3))**(-38))/(j**(2/31)*j**(-2))**(-3/7) assuming j is positive.\n' | b'j**(35482/651)\n' | deepmind/math_dataset |
b'Suppose -5*o + 15 + 0 = 0. Let m(p) = -p**3 + 8*p**2 + 2*p + 41. Let v be m(12). Let z = -507 - v. Solve -4*t + 4 = -4*a, 5 = o*a - z for t.\n' | b'4\n' | b'Suppose -5*o + 15 + 0 = 0. Let m(p) = -p**3 + 8*p**2 + 2*p + 41. Let v be m(12). Let z = -507 - v. Solve -4*t + 4 = -4*a, 5 = o*a - z for t.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 5, q: 2}. Give prob of picking 1 n and 2 q.\n' | b'1/7\n' | b'Three letters picked without replacement from {n: 5, q: 2}. Give prob of picking 1 n and 2 q.\n' | b'1/7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 2, y: 2, n: 3, v: 4, l: 1}. Give prob of sequence jn.\n' | b'1/22\n' | b'Two letters picked without replacement from {j: 2, y: 2, n: 3, v: 4, l: 1}. Give prob of sequence jn.\n' | b'1/22\n' | deepmind/math_dataset |
b'Let x(p) = 5*p**3 - p**2 + p + 1. Let s be x(-1). Let h(b) be the third derivative of 0 + 0*b - 1/60*b**5 - 1/6*b**4 - b**2 + b**3. Determine h(s).\n' | b'-6\n' | b'Let x(p) = 5*p**3 - p**2 + p + 1. Let s be x(-1). Let h(b) be the third derivative of 0 + 0*b - 1/60*b**5 - 1/6*b**4 - b**2 + b**3. Determine h(s).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose 4*t - 2 = 3*t, -16 = -3*w + 4*t. Solve -5 + 15 = 3*y - p, 4*y + w = -4*p for y.\n' | b'2\n' | b'Suppose 4*t - 2 = 3*t, -16 = -3*w + 4*t. Solve -5 + 15 = 3*y - p, 4*y + w = -4*p for y.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 5*a - 3*v = -2 - 8, v - 8 = -3*a. Let y be (1 + a/(-1))/(14/(-14)). Solve 2*g - c + y*c = 9, 0 = -g - 4*c - 18 for g.\n' | b'2\n' | b'Suppose 5*a - 3*v = -2 - 8, v - 8 = -3*a. Let y be (1 + a/(-1))/(14/(-14)). Solve 2*g - c + y*c = 9, 0 = -g - 4*c - 18 for g.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 2 a, 1 d, and 1 q when four letters picked without replacement from bccbcbacdadcbqdhacaa?\n' | b'2/323\n' | b'What is prob of picking 2 a, 1 d, and 1 q when four letters picked without replacement from bccbcbacdadcbqdhacaa?\n' | b'2/323\n' | deepmind/math_dataset |
b'Simplify (u**(1/7)*u**(2/21)*u**(-8)*u**(-3))**(7/2) assuming u is positive.\n' | b'u**(-113/3)\n' | b'Simplify (u**(1/7)*u**(2/21)*u**(-8)*u**(-3))**(7/2) assuming u is positive.\n' | b'u**(-113/3)\n' | deepmind/math_dataset |
b'Suppose 0 = -5*z - 3*h - 2*h, 15 = -3*h. What is the second derivative of 2*f**2 - 8*f - 23 - 9*f**z - 18*f + 24 wrt f?\n' | b'-180*f**3 + 4\n' | b'Suppose 0 = -5*z - 3*h - 2*h, 15 = -3*h. What is the second derivative of 2*f**2 - 8*f - 23 - 9*f**z - 18*f + 24 wrt f?\n' | b'-180*f**3 + 4\n' | deepmind/math_dataset |
b'Let d(j) be the first derivative of -j + 1/2*j**2 + 10/3*j**3 - 6. Give d(1).\n' | b'10\n' | b'Let d(j) be the first derivative of -j + 1/2*j**2 + 10/3*j**3 - 6. Give d(1).\n' | b'10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kvggggwgvmkkmcggm. What is prob of sequence mkv?\n' | b'3/680\n' | b'Three letters picked without replacement from kvggggwgvmkkmcggm. What is prob of sequence mkv?\n' | b'3/680\n' | deepmind/math_dataset |
b'Simplify ((o/o**(-2/11))/(o*o/(o**(-1)*o))*(o**1)**(24/11))/((((o*o**5)/o*o)/o)/o**(-4))**(-4/5) assuming o is positive.\n' | b'o**(471/55)\n' | b'Simplify ((o/o**(-2/11))/(o*o/(o**(-1)*o))*(o**1)**(24/11))/((((o*o**5)/o*o)/o)/o**(-4))**(-4/5) assuming o is positive.\n' | b'o**(471/55)\n' | deepmind/math_dataset |
b'Find the third derivative of -12 - 6*z**2 - 6*z**3 + 28 - 18 wrt z.\n' | b'-36\n' | b'Find the third derivative of -12 - 6*z**2 - 6*z**3 + 28 - 18 wrt z.\n' | b'-36\n' | deepmind/math_dataset |
b'Let n(m) = 6*m. Let k be 513/99 - 2/11. Suppose -2*r - 17 = -k*t, -3*t + 6 = -t. Calculate n(r).\n' | b'-6\n' | b'Let n(m) = 6*m. Let k be 513/99 - 2/11. Suppose -2*r - 17 = -k*t, -3*t + 6 = -t. Calculate n(r).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose 4*l = k - 4*k + 18, 0 = -5*k + 4*l - 2. Suppose 0 = -3*q + 4 + k. Suppose d = q*d. Let z(u) = -u**3 - 7. Give z(d).\n' | b'-7\n' | b'Suppose 4*l = k - 4*k + 18, 0 = -5*k + 4*l - 2. Suppose 0 = -3*q + 4 + k. Suppose d = q*d. Let z(u) = -u**3 - 7. Give z(d).\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify r**(1/11)*r*(r**11/r*r)/r*r**4*r/(r*r/(r/((((r*r**4)/r)/r)/r))) assuming r is positive.\n' | b'r**(144/11)\n' | b'Simplify r**(1/11)*r*(r**11/r*r)/r*r**4*r/(r*r/(r/((((r*r**4)/r)/r)/r))) assuming r is positive.\n' | b'r**(144/11)\n' | deepmind/math_dataset |
b'Let c(w) = 11*w - 84. Let q be c(8). Solve 2*j + m + q = 0, 0*j - 3*j + 8 = 5*m for j.\n' | b'-4\n' | b'Let c(w) = 11*w - 84. Let q be c(8). Solve 2*j + m + q = 0, 0*j - 3*j + 8 = 5*m for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Let r(d) = 7*d - 3. Let c(a) = 6*a - 3. Let x(t) = 5*c(t) - 4*r(t). Let s be x(5). Solve u + 0*u + 2*i - s = 0, -4*u - 5*i + 13 = 0 for u.\n' | b'-3\n' | b'Let r(d) = 7*d - 3. Let c(a) = 6*a - 3. Let x(t) = 5*c(t) - 4*r(t). Let s be x(5). Solve u + 0*u + 2*i - s = 0, -4*u - 5*i + 13 = 0 for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Let f be -2*20/8*-1. Solve 3*c + y = -3*y - f, -y + 3 = 5*c for c.\n' | b'1\n' | b'Let f be -2*20/8*-1. Solve 3*c + y = -3*y - f, -y + 3 = 5*c for c.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -6 = -4*m + 2*f, -2*m + 4*f = f + 3. Suppose m*u - 7 = 11. Differentiate -4 - 5*h**4 - 2 + 2*h**4 - u*h**4 wrt h.\n' | b'-36*h**3\n' | b'Suppose -6 = -4*m + 2*f, -2*m + 4*f = f + 3. Suppose m*u - 7 = 11. Differentiate -4 - 5*h**4 - 2 + 2*h**4 - u*h**4 wrt h.\n' | b'-36*h**3\n' | deepmind/math_dataset |
b'What is prob of sequence gaok when four letters picked without replacement from glkbbogboaogobobgkgg?\n' | b'1/1938\n' | b'What is prob of sequence gaok when four letters picked without replacement from glkbbogboaogobobgkgg?\n' | b'1/1938\n' | deepmind/math_dataset |
b'Let k(j) = 2*j**2 + 5*j - 3. Let n be 18/4*28/(-42). Let x be k(n). Suppose c + 3*c = x. Solve -f - 5*b - 22 = 0, -4*f + 4*b - 2*b = c for f.\n' | b'-2\n' | b'Let k(j) = 2*j**2 + 5*j - 3. Let n be 18/4*28/(-42). Let x be k(n). Suppose c + 3*c = x. Solve -f - 5*b - 22 = 0, -4*f + 4*b - 2*b = c for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (y/(y*y/(y/(y/y**(-1/3))))*y**(-7)*(y/(y/(y*y**(2/3)/y*y)))**(-46))**(-17) assuming y is positive.\n' | b'y**1445\n' | b'Simplify (y/(y*y/(y/(y/y**(-1/3))))*y**(-7)*(y/(y/(y*y**(2/3)/y*y)))**(-46))**(-17) assuming y is positive.\n' | b'y**1445\n' | deepmind/math_dataset |
b'Suppose 7*c = 28 - 0. Solve -2*h + 3*h + 2*a - 2 = 0, -c*h + a - 19 = 0 for h.\n' | b'-4\n' | b'Suppose 7*c = 28 - 0. Solve -2*h + 3*h + 2*a - 2 = 0, -c*h + a - 19 = 0 for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence onnn when four letters picked without replacement from onncnnono.\n' | b'5/84\n' | b'Calculate prob of sequence onnn when four letters picked without replacement from onncnnono.\n' | b'5/84\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yzhyyzzyyyyhyyzz. Give prob of sequence zhy.\n' | b'3/112\n' | b'Three letters picked without replacement from yzhyyzzyyyyhyyzz. Give prob of sequence zhy.\n' | b'3/112\n' | deepmind/math_dataset |
b'Let j = -297 - -299. Solve 2*r + 6 = 4*n, 4 + 6 = -j*r for n.\n' | b'-1\n' | b'Let j = -297 - -299. Solve 2*r + 6 = 4*n, 4 + 6 = -j*r for n.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((u**(-1/2))**(-18/13))**26*(u**(-2/11)*u**0)/((u*u**(1/6))/u**4) assuming u is positive.\n' | b'u**(1363/66)\n' | b'Simplify ((u**(-1/2))**(-18/13))**26*(u**(-2/11)*u**0)/((u*u**(1/6))/u**4) assuming u is positive.\n' | b'u**(1363/66)\n' | deepmind/math_dataset |
b'Let w be 4/14 - 66/(-14). Suppose 0*i - w*i + 15 = 0, -4*i = -4*m. Suppose -d = 0, -m*x + 24 = 3*d - 0*d. Let o(u) = 2*u - 11. Give o(x).\n' | b'5\n' | b'Let w be 4/14 - 66/(-14). Suppose 0*i - w*i + 15 = 0, -4*i = -4*m. Suppose -d = 0, -m*x + 24 = 3*d - 0*d. Let o(u) = 2*u - 11. Give o(x).\n' | b'5\n' | deepmind/math_dataset |
b'Let z be -2 - 15/(-5) - -1. Suppose 50 = 5*o - 3*h, 0 = -z*o - 5*h + 20. Let t = -6 - -9. Solve -5*y + t*d = d - 17, -3*y + d = -o for y.\n' | b'3\n' | b'Let z be -2 - 15/(-5) - -1. Suppose 50 = 5*o - 3*h, 0 = -z*o - 5*h + 20. Let t = -6 - -9. Solve -5*y + t*d = d - 17, -3*y + d = -o for y.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 3 g when three letters picked without replacement from {g: 11, d: 1, z: 2}?\n' | b'165/364\n' | b'What is prob of picking 3 g when three letters picked without replacement from {g: 11, d: 1, z: 2}?\n' | b'165/364\n' | deepmind/math_dataset |
b'Simplify h**(1/13)*h**17/h*((h**(9/2)*h)/h)**21 assuming h is positive.\n' | b'h**(2875/26)\n' | b'Simplify h**(1/13)*h**17/h*((h**(9/2)*h)/h)**21 assuming h is positive.\n' | b'h**(2875/26)\n' | deepmind/math_dataset |
b'Let u(r) = r**3 + 4*r**2 - 5*r - 6. Let j be u(-4). Let i = 25 - j. Suppose -1 = -3*f + i. Solve -2*g + f*a = -2, -g = -4*a + 1 - 4 for g.\n' | b'-1\n' | b'Let u(r) = r**3 + 4*r**2 - 5*r - 6. Let j be u(-4). Let i = 25 - j. Suppose -1 = -3*f + i. Solve -2*g + f*a = -2, -g = -4*a + 1 - 4 for g.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 5, p: 3}. Give prob of sequence pf.\n' | b'15/56\n' | b'Two letters picked without replacement from {f: 5, p: 3}. Give prob of sequence pf.\n' | b'15/56\n' | deepmind/math_dataset |
b'What is the second derivative of -7*w + 4*w**5 + 3*w**3 - 5*w**3 + 2*w**3 wrt w?\n' | b'80*w**3\n' | b'What is the second derivative of -7*w + 4*w**5 + 3*w**3 - 5*w**3 + 2*w**3 wrt w?\n' | b'80*w**3\n' | deepmind/math_dataset |
b'Let r(p) = -3*p**2 + 5*p - p**2 + 3*p**2 - 11 + 2*p**2. Let u be r(-7). Solve -y - q = q, -u*y = q for y.\n' | b'0\n' | b'Let r(p) = -3*p**2 + 5*p - p**2 + 3*p**2 - 11 + 2*p**2. Let u be r(-7). Solve -y - q = q, -u*y = q for y.\n' | b'0\n' | deepmind/math_dataset |
b'What is the third derivative of -11*v**2 - 24*v**3 + 16*v**2 + 16*v**2 wrt v?\n' | b'-144\n' | b'What is the third derivative of -11*v**2 - 24*v**3 + 16*v**2 + 16*v**2 wrt v?\n' | b'-144\n' | deepmind/math_dataset |
b'Suppose 0 = -p + 5*j - 4, 5*j - 20 = 5*p - 0*p. Let n(t) = -t**3 - 5*t**2 - 5*t - 2. Let d(f) = -f**3 - 5*f**2 - 5*f - 2. Let a(m) = 5*d(m) - 6*n(m). Give a(p).\n' | b'-2\n' | b'Suppose 0 = -p + 5*j - 4, 5*j - 20 = 5*p - 0*p. Let n(t) = -t**3 - 5*t**2 - 5*t - 2. Let d(f) = -f**3 - 5*f**2 - 5*f - 2. Let a(m) = 5*d(m) - 6*n(m). Give a(p).\n' | b'-2\n' | deepmind/math_dataset |
b'Let c(j) be the second derivative of -j**3/3 + 7*j**2 + 12*j. Let p be c(7). Solve p = -5*d - b - 1, 6 - 3 = -5*d - 3*b for d.\n' | b'0\n' | b'Let c(j) be the second derivative of -j**3/3 + 7*j**2 + 12*j. Let p be c(7). Solve p = -5*d - b - 1, 6 - 3 = -5*d - 3*b for d.\n' | b'0\n' | deepmind/math_dataset |
b'Let f(g) = -g**2 - 12*g - 4. Let h(t) = -t + 1. Let w(v) = -f(v) + h(v). Let s be w(-4). Let b = s - -26. Solve 3*z + c = 17 - 3, 0 = -b*z - 2*c + 16 for z.\n' | b'4\n' | b'Let f(g) = -g**2 - 12*g - 4. Let h(t) = -t + 1. Let w(v) = -f(v) + h(v). Let s be w(-4). Let b = s - -26. Solve 3*z + c = 17 - 3, 0 = -b*z - 2*c + 16 for z.\n' | b'4\n' | deepmind/math_dataset |
b'Let r(m) = -m**2 - 14*m + 4. Let d be r(-14). Find the third derivative of 9*t**d - 9*t**2 + 13*t**2 + 7*t**2 wrt t.\n' | b'216*t\n' | b'Let r(m) = -m**2 - 14*m + 4. Let d be r(-14). Find the third derivative of 9*t**d - 9*t**2 + 13*t**2 + 7*t**2 wrt t.\n' | b'216*t\n' | deepmind/math_dataset |
b'Suppose 7*v - 21 - 35 = 0. Suppose -11 = -4*t - g, 2*t - v = 4*g + 2. Solve -k - 7 = -t*m, -m - k = -0*m - 9 for m.\n' | b'4\n' | b'Suppose 7*v - 21 - 35 = 0. Suppose -11 = -4*t - g, 2*t - v = 4*g + 2. Solve -k - 7 = -t*m, -m - k = -0*m - 9 for m.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 2 s when two letters picked without replacement from bbbbbssbb?\n' | b'1/36\n' | b'What is prob of picking 2 s when two letters picked without replacement from bbbbbssbb?\n' | b'1/36\n' | deepmind/math_dataset |
b'What is the derivative of -19 + 24 - 120*f**3 + 74 + 37 wrt f?\n' | b'-360*f**2\n' | b'What is the derivative of -19 + 24 - 120*f**3 + 74 + 37 wrt f?\n' | b'-360*f**2\n' | deepmind/math_dataset |
b'What is the second derivative of 3256*y**4 - 277*y - 593*y - 635 + 165*y + 635 wrt y?\n' | b'39072*y**2\n' | b'What is the second derivative of 3256*y**4 - 277*y - 593*y - 635 + 165*y + 635 wrt y?\n' | b'39072*y**2\n' | deepmind/math_dataset |
b'What is prob of sequence ed when two letters picked without replacement from eededddwdewdedeedbdd?\n' | b'7/38\n' | b'What is prob of sequence ed when two letters picked without replacement from eededddwdewdedeedbdd?\n' | b'7/38\n' | deepmind/math_dataset |
b'Simplify (s**(1/3))**30*s**(-6/5)*s*s*s*s/s**(3/7) assuming s is positive.\n' | b's**(433/35)\n' | b'Simplify (s**(1/3))**30*s**(-6/5)*s*s*s*s/s**(3/7) assuming s is positive.\n' | b's**(433/35)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ywy when three letters picked without replacement from {w: 5, j: 2, y: 2}.\n' | b'5/252\n' | b'Calculate prob of sequence ywy when three letters picked without replacement from {w: 5, j: 2, y: 2}.\n' | b'5/252\n' | deepmind/math_dataset |
b'Simplify ((g**(-15)/g*(g*g**(-8)*g)/g)/((g/((g*g**(-1/16))/g))/((g*((g/g**(-1/3))/g)/g)/g)))**(1/3) assuming g is positive.\n' | b'g**(-1187/144)\n' | b'Simplify ((g**(-15)/g*(g*g**(-8)*g)/g)/((g/((g*g**(-1/16))/g))/((g*((g/g**(-1/3))/g)/g)/g)))**(1/3) assuming g is positive.\n' | b'g**(-1187/144)\n' | deepmind/math_dataset |
b'What is prob of sequence zhv when three letters picked without replacement from {c: 2, h: 1, z: 1, g: 1, v: 1, d: 2}?\n' | b'1/336\n' | b'What is prob of sequence zhv when three letters picked without replacement from {c: 2, h: 1, z: 1, g: 1, v: 1, d: 2}?\n' | b'1/336\n' | deepmind/math_dataset |
b'Let a = -12 + 14. What is the derivative of -2*t**2 + 3 - 1 + a*t**2 - 4*t**3 wrt t?\n' | b'-12*t**2\n' | b'Let a = -12 + 14. What is the derivative of -2*t**2 + 3 - 1 + a*t**2 - 4*t**3 wrt t?\n' | b'-12*t**2\n' | deepmind/math_dataset |
b'Suppose 94*j = -13*j + 1645 + 495. Let u(v) = v + 12. Let a be u(-8). Solve -o = -5*o + 4*t - j, a = t for o.\n' | b'-1\n' | b'Suppose 94*j = -13*j + 1645 + 495. Let u(v) = v + 12. Let a be u(-8). Solve -o = -5*o + 4*t - j, a = t for o.\n' | b'-1\n' | deepmind/math_dataset |
b'Let b(s) = -8*s + 18. Let l be b(-3). What is the first derivative of 26 + l - 1679*t + 1622*t - 4 wrt t?\n' | b'-57\n' | b'Let b(s) = -8*s + 18. Let l be b(-3). What is the first derivative of 26 + l - 1679*t + 1622*t - 4 wrt t?\n' | b'-57\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 1 t when two letters picked without replacement from togtwofu?\n' | b'1/14\n' | b'What is prob of picking 1 g and 1 t when two letters picked without replacement from togtwofu?\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify (((i**(-1/2)/(i/(i**(-2/9)/i)))**35)**(2/33))**(2/37) assuming i is positive.\n' | b'i**(-3430/10989)\n' | b'Simplify (((i**(-1/2)/(i/(i**(-2/9)/i)))**35)**(2/33))**(2/37) assuming i is positive.\n' | b'i**(-3430/10989)\n' | deepmind/math_dataset |
b'Simplify (c**(-3/8)*c*c*c**(-13))**37/(c/(c/c**(-1/4))*c**4/c)**13 assuming c is positive.\n' | b'c**(-3653/8)\n' | b'Simplify (c**(-3/8)*c*c*c**(-13))**37/(c/(c/c**(-1/4))*c**4/c)**13 assuming c is positive.\n' | b'c**(-3653/8)\n' | deepmind/math_dataset |
b'Differentiate -10494*g + 530*g + 16885*g + 1904 wrt g.\n' | b'6921\n' | b'Differentiate -10494*g + 530*g + 16885*g + 1904 wrt g.\n' | b'6921\n' | deepmind/math_dataset |
b'Let b = 136 + -132. What is the third derivative of b*c**3 - 46*c**4 - 4*c**3 - 48*c**2 wrt c?\n' | b'-1104*c\n' | b'Let b = 136 + -132. What is the third derivative of b*c**3 - 46*c**4 - 4*c**3 - 48*c**2 wrt c?\n' | b'-1104*c\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 2 o when three letters picked without replacement from {o: 6, b: 13}.\n' | b'65/323\n' | b'Calculate prob of picking 1 b and 2 o when three letters picked without replacement from {o: 6, b: 13}.\n' | b'65/323\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ccvvvcsvvcs. Give prob of sequence cscv.\n' | b'1/66\n' | b'Four letters picked without replacement from ccvvvcsvvcs. Give prob of sequence cscv.\n' | b'1/66\n' | deepmind/math_dataset |
b'Let v(n) = -2*n + 3. Let k = -3 - -7. Suppose -3*w = 25 - k. Let j = -3 - w. What is v(j)?\n' | b'-5\n' | b'Let v(n) = -2*n + 3. Let k = -3 - -7. Suppose -3*w = 25 - k. Let j = -3 - w. What is v(j)?\n' | b'-5\n' | deepmind/math_dataset |
b'Let v(q) = q + 4. Let i be v(0). Solve 0 = -n - i*j + j + 10, 2*n + 2*j = 0 for n.\n' | b'-5\n' | b'Let v(q) = q + 4. Let i be v(0). Solve 0 = -n - i*j + j + 10, 2*n + 2*j = 0 for n.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -2*y + d + 17 = 0, -d - 40 = -5*y + 2*d. Suppose -30 = 2*z - 8*z. Find the second derivative of y*p**2 + 0*p**3 - 11*p**2 + z*p**3 + 5*p wrt p.\n' | b'30*p\n' | b'Suppose -2*y + d + 17 = 0, -d - 40 = -5*y + 2*d. Suppose -30 = 2*z - 8*z. Find the second derivative of y*p**2 + 0*p**3 - 11*p**2 + z*p**3 + 5*p wrt p.\n' | b'30*p\n' | deepmind/math_dataset |
b'Suppose -2*x - 5*y = -6, -12 = 3*x - 7*x - 4*y. Let u = 29 + x. Solve u = -4*t - 3*v, -t - 3 = 5*v + 22 for t.\n' | b'-5\n' | b'Suppose -2*x - 5*y = -6, -12 = 3*x - 7*x - 4*y. Let u = 29 + x. Solve u = -4*t - 3*v, -t - 3 = 5*v + 22 for t.\n' | b'-5\n' | deepmind/math_dataset |
b'Let m(a) = 99 - 31 - 3*a + 0*a. Let c be m(21). Find the second derivative of 12*i + 22*i**c + 31*i - 4*i wrt i.\n' | b'440*i**3\n' | b'Let m(a) = 99 - 31 - 3*a + 0*a. Let c be m(21). Find the second derivative of 12*i + 22*i**c + 31*i - 4*i wrt i.\n' | b'440*i**3\n' | deepmind/math_dataset |
b'Suppose 5*m + 131 - 196 = -8*m. Solve 3*o + 0 + 4 = 4*u, -1 = m*o - u for o.\n' | b'0\n' | b'Suppose 5*m + 131 - 196 = -8*m. Solve 3*o + 0 + 4 = 4*u, -1 = m*o - u for o.\n' | b'0\n' | deepmind/math_dataset |
b'Let m(g) = -9*g**5 + 2*g**4 + g**2 + 2*g + 2. Let f(a) = -a**4 - a**2 - a - 1. Let u(o) = -2*f(o) - m(o). What is the third derivative of u(r) wrt r?\n' | b'540*r**2\n' | b'Let m(g) = -9*g**5 + 2*g**4 + g**2 + 2*g + 2. Let f(a) = -a**4 - a**2 - a - 1. Let u(o) = -2*f(o) - m(o). What is the third derivative of u(r) wrt r?\n' | b'540*r**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence sssv when four letters picked without replacement from sssssvssvsssssv.\n' | b'11/91\n' | b'Calculate prob of sequence sssv when four letters picked without replacement from sssssvssvsssssv.\n' | b'11/91\n' | deepmind/math_dataset |
b'Let a = -14 - -17. Let u(v) be the third derivative of -v**4/24 + 7*v**3/6 - v**2. Let p be u(4). Solve 7*x = p*x - 2*m, 2*m = a*x - 14 for x.\n' | b'2\n' | b'Let a = -14 - -17. Let u(v) be the third derivative of -v**4/24 + 7*v**3/6 - v**2. Let p be u(4). Solve 7*x = p*x - 2*m, 2*m = a*x - 14 for x.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (y/(y*(y/(y*((y*y**(-2/21)*y)/y)/y))/y))**14*y*y*y/y**(6/11)*y/(y**(-5/7)*y*y*y) assuming y is positive.\n' | b'y**(3196/231)\n' | b'Simplify (y/(y*(y/(y*((y*y**(-2/21)*y)/y)/y))/y))**14*y*y*y/y**(6/11)*y/(y**(-5/7)*y*y*y) assuming y is positive.\n' | b'y**(3196/231)\n' | deepmind/math_dataset |
b'Simplify (m**2/m)**(-18)*(m*m*m**(-1/3)*m)**(-3) assuming m is positive.\n' | b'm**(-26)\n' | b'Simplify (m**2/m)**(-18)*(m*m*m**(-1/3)*m)**(-3) assuming m is positive.\n' | b'm**(-26)\n' | deepmind/math_dataset |
b'Let y(i) be the first derivative of 0*i**4 + 2 + 0*i + 0*i**2 + 0*i**5 - i**3 + 1/6*i**6. Find the third derivative of y(m) wrt m.\n' | b'60*m**2\n' | b'Let y(i) be the first derivative of 0*i**4 + 2 + 0*i + 0*i**2 + 0*i**5 - i**3 + 1/6*i**6. Find the third derivative of y(m) wrt m.\n' | b'60*m**2\n' | deepmind/math_dataset |
b'Simplify ((z*(z**(-13)*z*z)/z)/(z/(z/(z*z**(3/7)*z)))*(z**(-5))**(2/139))**(1/38) assuming z is positive.\n' | b'z**(-6568/18487)\n' | b'Simplify ((z*(z**(-13)*z*z)/z)/(z/(z/(z*z**(3/7)*z)))*(z**(-5))**(2/139))**(1/38) assuming z is positive.\n' | b'z**(-6568/18487)\n' | deepmind/math_dataset |
b'Simplify t/t**(-8)*t**(1/43)/t assuming t is positive.\n' | b't**(345/43)\n' | b'Simplify t/t**(-8)*t**(1/43)/t assuming t is positive.\n' | b't**(345/43)\n' | deepmind/math_dataset |
b'Suppose -3*w + 0*i + 53 = 2*i, w + 4*i = 21. Suppose 18*x = w*x + 2. Suppose 3*c - 2 = 10. Solve -d = x*p + c, d - 14 = -0*p + 4*p for p.\n' | b'-3\n' | b'Suppose -3*w + 0*i + 53 = 2*i, w + 4*i = 21. Suppose 18*x = w*x + 2. Suppose 3*c - 2 = 10. Solve -d = x*p + c, d - 14 = -0*p + 4*p for p.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence ue when two letters picked without replacement from eeuuee?\n' | b'4/15\n' | b'What is prob of sequence ue when two letters picked without replacement from eeuuee?\n' | b'4/15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 3, o: 4}. What is prob of picking 4 o?\n' | b'1/35\n' | b'Four letters picked without replacement from {y: 3, o: 4}. What is prob of picking 4 o?\n' | b'1/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 1, u: 1, p: 2, n: 1, a: 1, r: 1}. Give prob of picking 1 a and 1 r.\n' | b'1/21\n' | b'Two letters picked without replacement from {o: 1, u: 1, p: 2, n: 1, a: 1, r: 1}. Give prob of picking 1 a and 1 r.\n' | b'1/21\n' | deepmind/math_dataset |
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