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'Four letters picked without replacement from {n: 10, c: 1, b: 2, k: 1, h: 2}. Give prob of sequence cnhb.\n' | b'1/1092\n' | b'Four letters picked without replacement from {n: 10, c: 1, b: 2, k: 1, h: 2}. Give prob of sequence cnhb.\n' | b'1/1092\n' | deepmind/math_dataset |
b'Let d = 48 - 40. Let m(t) = t**3 - 7*t**2 - 6*t - 6. Determine m(d).\n' | b'10\n' | b'Let d = 48 - 40. Let m(t) = t**3 - 7*t**2 - 6*t - 6. Determine m(d).\n' | b'10\n' | deepmind/math_dataset |
b'What is prob of picking 1 d and 1 n when two letters picked without replacement from {v: 1, d: 6, n: 7}?\n' | b'6/13\n' | b'What is prob of picking 1 d and 1 n when two letters picked without replacement from {v: 1, d: 6, n: 7}?\n' | b'6/13\n' | deepmind/math_dataset |
b'Simplify ((f**21/(f/(f**6/f)))/((f/(f/(f*(f*f/(f*f*f**(-19)))/f)))/f**(-4/13)))**(-16/3) assuming f is positive.\n' | b'f**(-1184/39)\n' | b'Simplify ((f**21/(f/(f**6/f)))/((f/(f/(f*(f*f/(f*f*f**(-19)))/f)))/f**(-4/13)))**(-16/3) assuming f is positive.\n' | b'f**(-1184/39)\n' | deepmind/math_dataset |
b'What is prob of sequence icyi when four letters picked without replacement from {c: 2, b: 1, y: 10, i: 3}?\n' | b'1/364\n' | b'What is prob of sequence icyi when four letters picked without replacement from {c: 2, b: 1, y: 10, i: 3}?\n' | b'1/364\n' | deepmind/math_dataset |
b'Let o(q) be the second derivative of -q**3/6 + 4*q**2 + 21*q. Let x be o(6). Solve -4*y = -5*g - x, -4*y = -5*g - 2*y + 4 for g.\n' | b'2\n' | b'Let o(q) be the second derivative of -q**3/6 + 4*q**2 + 21*q. Let x be o(6). Solve -4*y = -5*g - x, -4*y = -5*g - 2*y + 4 for g.\n' | b'2\n' | deepmind/math_dataset |
b'Let v(q) be the second derivative of q**4/12 + q**3 - q**2/2 + 369*q + 1. Give v(5).\n' | b'54\n' | b'Let v(q) be the second derivative of q**4/12 + q**3 - q**2/2 + 369*q + 1. Give v(5).\n' | b'54\n' | deepmind/math_dataset |
b'Simplify ((h/((h/(h*(h/h**(1/2))/h))/h))/h)**(2/31)/(h/(h*h*h**1))**8 assuming h is positive.\n' | b'h**(497/31)\n' | b'Simplify ((h/((h/(h*(h/h**(1/2))/h))/h))/h)**(2/31)/(h/(h*h*h**1))**8 assuming h is positive.\n' | b'h**(497/31)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 1, s: 4, d: 1, z: 2, e: 2}. What is prob of sequence de?\n' | b'1/45\n' | b'Two letters picked without replacement from {a: 1, s: 4, d: 1, z: 2, e: 2}. What is prob of sequence de?\n' | b'1/45\n' | deepmind/math_dataset |
b'Let n be (1 + 2)/(0 + 1) + 2. Solve o + 0*o - 4*u - 4 = 0, -n*u + 16 = 4*o for o.\n' | b'4\n' | b'Let n be (1 + 2)/(0 + 1) + 2. Solve o + 0*o - 4*u - 4 = 0, -n*u + 16 = 4*o for o.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -9 = -0*n - 2*n - h, -h + 5 = 0. Let g be n/6 - 8/(-3). Solve 3*d + g*c = -c + 28, 0 = -4*d + 5*c - 4 for d.\n' | b'4\n' | b'Suppose -9 = -0*n - 2*n - h, -h + 5 = 0. Let g be n/6 - 8/(-3). Solve 3*d + g*c = -c + 28, 0 = -4*d + 5*c - 4 for d.\n' | b'4\n' | deepmind/math_dataset |
b'Let v be (-18)/2 - 11/77*-259. Solve 2*f - 49*g + v = -45*g, 10 = 4*f + 3*g for f.\n' | b'-2\n' | b'Let v be (-18)/2 - 11/77*-259. Solve 2*f - 49*g + v = -45*g, 10 = 4*f + 3*g for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 c when three letters picked without replacement from {x: 2, b: 3, c: 7}.\n' | b'7/44\n' | b'Calculate prob of picking 3 c when three letters picked without replacement from {x: 2, b: 3, c: 7}.\n' | b'7/44\n' | deepmind/math_dataset |
b'Suppose 17*q - 12 = 56. Find the second derivative of 15*r**5 - 71*r**q - 2*r**3 - r**5 + 71*r**4 - 63*r wrt r.\n' | b'280*r**3 - 12*r\n' | b'Suppose 17*q - 12 = 56. Find the second derivative of 15*r**5 - 71*r**q - 2*r**3 - r**5 + 71*r**4 - 63*r wrt r.\n' | b'280*r**3 - 12*r\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lcee. What is prob of picking 1 e and 1 l?\n' | b'1/3\n' | b'Two letters picked without replacement from lcee. What is prob of picking 1 e and 1 l?\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify (c*c**(2/3)*c)**(-44)/((c*c**8)/c*c**(1/4)/c) assuming c is positive.\n' | b'c**(-1495/12)\n' | b'Simplify (c*c**(2/3)*c)**(-44)/((c*c**8)/c*c**(1/4)/c) assuming c is positive.\n' | b'c**(-1495/12)\n' | deepmind/math_dataset |
b'What is prob of sequence pp when two letters picked without replacement from {n: 3, o: 5, p: 3}?\n' | b'3/55\n' | b'What is prob of sequence pp when two letters picked without replacement from {n: 3, o: 5, p: 3}?\n' | b'3/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 7, w: 7}. Give prob of sequence jw.\n' | b'7/26\n' | b'Two letters picked without replacement from {j: 7, w: 7}. Give prob of sequence jw.\n' | b'7/26\n' | deepmind/math_dataset |
b'Simplify (i**(7/3))**42/(i**(-2)*(i/(i**31*i*i))/i) assuming i is positive.\n' | b'i**133\n' | b'Simplify (i**(7/3))**42/(i**(-2)*(i/(i**31*i*i))/i) assuming i is positive.\n' | b'i**133\n' | deepmind/math_dataset |
b'What is prob of picking 2 k and 2 c when four letters picked without replacement from kkkxakcccqqkqqkcqq?\n' | b'1/34\n' | b'What is prob of picking 2 k and 2 c when four letters picked without replacement from kkkxakcccqqkqqkcqq?\n' | b'1/34\n' | deepmind/math_dataset |
b'Three letters picked without replacement from upupuuuuuuuuuupuuu. What is prob of sequence uuu?\n' | b'455/816\n' | b'Three letters picked without replacement from upupuuuuuuuuuupuuu. What is prob of sequence uuu?\n' | b'455/816\n' | deepmind/math_dataset |
b'Let v = -187 + 191. Suppose -4*i + 2*w + 18 = -v, 4*w + 29 = 3*i. Solve -3*p + 10 = -i*s + 1, -p = 3*s - 7 for p.\n' | b'4\n' | b'Let v = -187 + 191. Suppose -4*i + 2*w + 18 = -v, 4*w + 29 = 3*i. Solve -3*p + 10 = -i*s + 1, -p = 3*s - 7 for p.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (y*y**(3/4)*y**(-2/19))**(-43)/((y/(y/((((y**(-1)*y)/y)/y)/y*y)))**(1/33))**44 assuming y is positive.\n' | b'y**(-15517/228)\n' | b'Simplify (y*y**(3/4)*y**(-2/19))**(-43)/((y/(y/((((y**(-1)*y)/y)/y)/y*y)))**(1/33))**44 assuming y is positive.\n' | b'y**(-15517/228)\n' | deepmind/math_dataset |
b'What is prob of sequence khy when three letters picked without replacement from {s: 1, k: 3, y: 2, h: 1}?\n' | b'1/35\n' | b'What is prob of sequence khy when three letters picked without replacement from {s: 1, k: 3, y: 2, h: 1}?\n' | b'1/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hvvxvvvvxtxvvvbvbhv. Give prob of picking 1 t and 1 h.\n' | b'2/171\n' | b'Two letters picked without replacement from hvvxvvvvxtxvvvbvbhv. Give prob of picking 1 t and 1 h.\n' | b'2/171\n' | deepmind/math_dataset |
b'Suppose -3*h + 28 = 4*b + 2*h, -4 = -h. Let x(c) = -5*c. Determine x(b).\n' | b'-10\n' | b'Suppose -3*h + 28 = 4*b + 2*h, -4 = -h. Let x(c) = -5*c. Determine x(b).\n' | b'-10\n' | deepmind/math_dataset |
b'Let d(l) = -158 - 158 + 2*l + 315 + 3*l**2. Calculate d(1).\n' | b'4\n' | b'Let d(l) = -158 - 158 + 2*l + 315 + 3*l**2. Calculate d(1).\n' | b'4\n' | deepmind/math_dataset |
b'Let h be 1868/(-26) + (-10)/65. Let f be (-416)/h + (-2)/(-9). Suppose 4*o - o - f = 0. Solve 2*n - 2*q = 4, -n + 1 + o = -2*q for n.\n' | b'1\n' | b'Let h be 1868/(-26) + (-10)/65. Let f be (-416)/h + (-2)/(-9). Suppose 4*o - o - f = 0. Solve 2*n - 2*q = 4, -n + 1 + o = -2*q for n.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 16, m: 1, r: 1}. What is prob of picking 3 i?\n' | b'35/51\n' | b'Three letters picked without replacement from {i: 16, m: 1, r: 1}. What is prob of picking 3 i?\n' | b'35/51\n' | deepmind/math_dataset |
b'Let p(m) = m**2 - m - 21. Suppose -w + 3*w = -w. Give p(w).\n' | b'-21\n' | b'Let p(m) = m**2 - m - 21. Suppose -w + 3*w = -w. Give p(w).\n' | b'-21\n' | deepmind/math_dataset |
b'Simplify (g**(-2/13)/(g/(g*g*g**(-1/7))))/((g*g**10)/(g*g*g*g*(g/(g*(g**(-19)/g)/g))/g*g*g)) assuming g is positive.\n' | b'g**(1429/91)\n' | b'Simplify (g**(-2/13)/(g/(g*g*g**(-1/7))))/((g*g**10)/(g*g*g*g*(g/(g*(g**(-19)/g)/g))/g*g*g)) assuming g is positive.\n' | b'g**(1429/91)\n' | deepmind/math_dataset |
b'Simplify (((k*k**8)/((k/(k*k**9))/k))**26)**39 assuming k is positive.\n' | b'k**19266\n' | b'Simplify (((k*k**8)/((k/(k*k**9))/k))**26)**39 assuming k is positive.\n' | b'k**19266\n' | deepmind/math_dataset |
b'Calculate prob of sequence xwvm when four letters picked without replacement from wmmmeemexmmev.\n' | b'1/2860\n' | b'Calculate prob of sequence xwvm when four letters picked without replacement from wmmmeemexmmev.\n' | b'1/2860\n' | deepmind/math_dataset |
b'What is prob of sequence bb when two letters picked without replacement from {b: 10}?\n' | b'1\n' | b'What is prob of sequence bb when two letters picked without replacement from {b: 10}?\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 5, d: 1, q: 11}. What is prob of sequence xqdq?\n' | b'55/5712\n' | b'Four letters picked without replacement from {x: 5, d: 1, q: 11}. What is prob of sequence xqdq?\n' | b'55/5712\n' | deepmind/math_dataset |
b'What is prob of sequence yycc when four letters picked without replacement from {y: 4, c: 6}?\n' | b'1/14\n' | b'What is prob of sequence yycc when four letters picked without replacement from {y: 4, c: 6}?\n' | b'1/14\n' | deepmind/math_dataset |
b'Let r(n) be the second derivative of -5*n**4/12 - 6*n**2 + 7*n. What is the first derivative of r(k) wrt k?\n' | b'-10*k\n' | b'Let r(n) be the second derivative of -5*n**4/12 - 6*n**2 + 7*n. What is the first derivative of r(k) wrt k?\n' | b'-10*k\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 2, e: 1, z: 6, y: 1, p: 2}. Give prob of picking 1 z and 2 p.\n' | b'3/110\n' | b'Three letters picked without replacement from {o: 2, e: 1, z: 6, y: 1, p: 2}. Give prob of picking 1 z and 2 p.\n' | b'3/110\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mmmmlmlmmm. Give prob of sequence lm.\n' | b'8/45\n' | b'Two letters picked without replacement from mmmmlmlmmm. Give prob of sequence lm.\n' | b'8/45\n' | deepmind/math_dataset |
b'Simplify (w**13)**(1/52) assuming w is positive.\n' | b'w**(1/4)\n' | b'Simplify (w**13)**(1/52) assuming w is positive.\n' | b'w**(1/4)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lrlxllreeglllllrl. Give prob of picking 1 g and 1 r.\n' | b'3/136\n' | b'Two letters picked without replacement from lrlxllreeglllllrl. Give prob of picking 1 g and 1 r.\n' | b'3/136\n' | deepmind/math_dataset |
b'Suppose -2*c - 3*t + 4 = -0*c, 0 = c - t - 7. Solve 0 = -3*n + 2*z - 5, 0 = 2*n - c*z + 1 - 5 for n.\n' | b'-3\n' | b'Suppose -2*c - 3*t + 4 = -0*c, 0 = c - t - 7. Solve 0 = -3*n + 2*z - 5, 0 = 2*n - c*z + 1 - 5 for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 2*w + 68 = -n - 3*n, -2*n - 26 = -w. Let p = n + 42. Let r = -4 - -7. Solve 0 = -3*o + 3*d - r, -3*o + 0*d = 5*d + p for o.\n' | b'-4\n' | b'Suppose 2*w + 68 = -n - 3*n, -2*n - 26 = -w. Let p = n + 42. Let r = -4 - -7. Solve 0 = -3*o + 3*d - r, -3*o + 0*d = 5*d + p for o.\n' | b'-4\n' | deepmind/math_dataset |
b'Let y(i) be the first derivative of 397*i**6/6 - 110*i**3/3 + 171. Find the third derivative of y(w) wrt w.\n' | b'23820*w**2\n' | b'Let y(i) be the first derivative of 397*i**6/6 - 110*i**3/3 + 171. Find the third derivative of y(w) wrt w.\n' | b'23820*w**2\n' | deepmind/math_dataset |
b'Let r(k) be the third derivative of -4451*k**5/60 - 107*k**4/24 - k**3/6 + 11*k**2 - 11*k. Find the second derivative of r(s) wrt s.\n' | b'-8902\n' | b'Let r(k) be the third derivative of -4451*k**5/60 - 107*k**4/24 - k**3/6 + 11*k**2 - 11*k. Find the second derivative of r(s) wrt s.\n' | b'-8902\n' | deepmind/math_dataset |
b'Let z = 13 - 7. Let g = 4 - z. Let q be -2 - g*(0 + 1). Solve -2*v - 2 = 3*m, q = -5*v + 3*m - 12 + 49 for v.\n' | b'5\n' | b'Let z = 13 - 7. Let g = 4 - z. Let q be -2 - g*(0 + 1). Solve -2*v - 2 = 3*m, q = -5*v + 3*m - 12 + 49 for v.\n' | b'5\n' | deepmind/math_dataset |
b'Let k = -7 + 7. Suppose s + 2 = -k. Let b = 3 - s. Solve b*q - 37 = 3*r - 0*r, 2*r + 5*q = 17 for r.\n' | b'-4\n' | b'Let k = -7 + 7. Suppose s + 2 = -k. Let b = 3 - s. Solve b*q - 37 = 3*r - 0*r, 2*r + 5*q = 17 for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 2, c: 9, t: 2}. Give prob of sequence ccct.\n' | b'42/715\n' | b'Four letters picked without replacement from {i: 2, c: 9, t: 2}. Give prob of sequence ccct.\n' | b'42/715\n' | deepmind/math_dataset |
b'Let r(a) be the third derivative of -1/120*a**6 + 0*a + 13/24*a**4 - 134*a**2 + 0*a**3 + 0 - 1/15*a**5. What is r(-6)?\n' | b'-6\n' | b'Let r(a) be the third derivative of -1/120*a**6 + 0*a + 13/24*a**4 - 134*a**2 + 0*a**3 + 0 - 1/15*a**5. What is r(-6)?\n' | b'-6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from stppct. Give prob of sequence sttp.\n' | b'1/90\n' | b'Four letters picked without replacement from stppct. Give prob of sequence sttp.\n' | b'1/90\n' | deepmind/math_dataset |
b'What is prob of sequence llw when three letters picked without replacement from lwlwwbbbwwww?\n' | b'7/660\n' | b'What is prob of sequence llw when three letters picked without replacement from lwlwwbbbwwww?\n' | b'7/660\n' | deepmind/math_dataset |
b'Simplify (x**(-10)*x*x**(-12))**(-2/81) assuming x is positive.\n' | b'x**(14/27)\n' | b'Simplify (x**(-10)*x*x**(-12))**(-2/81) assuming x is positive.\n' | b'x**(14/27)\n' | deepmind/math_dataset |
b'Let q(r) = 266*r**2 + 12*r**3 + 99 - 96 - 266*r**2 - 2*r. Determine q(1).\n' | b'13\n' | b'Let q(r) = 266*r**2 + 12*r**3 + 99 - 96 - 266*r**2 - 2*r. Determine q(1).\n' | b'13\n' | deepmind/math_dataset |
b'Calculate prob of sequence sars when four letters picked without replacement from assryrsaryaaaaasssa.\n' | b'5/646\n' | b'Calculate prob of sequence sars when four letters picked without replacement from assryrsaryaaaaasssa.\n' | b'5/646\n' | deepmind/math_dataset |
b'Let u(w) = 3 + 316*w**2 + w - 6*w - 317*w**2. Calculate u(-4).\n' | b'7\n' | b'Let u(w) = 3 + 316*w**2 + w - 6*w - 317*w**2. Calculate u(-4).\n' | b'7\n' | deepmind/math_dataset |
b'What is prob of sequence el when two letters picked without replacement from {e: 17, l: 1}?\n' | b'1/18\n' | b'What is prob of sequence el when two letters picked without replacement from {e: 17, l: 1}?\n' | b'1/18\n' | deepmind/math_dataset |
b'Let w = 1 + -1. Let j = 27688 - 27676. Solve 2*a = -5*g - w - j, -4*g + 2*a - 6 = 0 for g.\n' | b'-2\n' | b'Let w = 1 + -1. Let j = 27688 - 27676. Solve 2*a = -5*g - w - j, -4*g + 2*a - 6 = 0 for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 h when two letters picked without replacement from {k: 6, h: 6}.\n' | b'5/22\n' | b'Calculate prob of picking 2 h when two letters picked without replacement from {k: 6, h: 6}.\n' | b'5/22\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 2, e: 6, y: 1, f: 3}. Give prob of picking 1 f and 1 n.\n' | b'1/11\n' | b'Two letters picked without replacement from {n: 2, e: 6, y: 1, f: 3}. Give prob of picking 1 f and 1 n.\n' | b'1/11\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 1, e: 1, n: 1}. Give prob of sequence nse.\n' | b'1/6\n' | b'Three letters picked without replacement from {s: 1, e: 1, n: 1}. Give prob of sequence nse.\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify ((g**(-1/7)/g)/g**(-3))/(g/g**(-1))**(-29) assuming g is positive.\n' | b'g**(419/7)\n' | b'Simplify ((g**(-1/7)/g)/g**(-3))/(g/g**(-1))**(-29) assuming g is positive.\n' | b'g**(419/7)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 3, z: 1, q: 3}. Give prob of picking 1 z and 1 q.\n' | b'1/7\n' | b'Two letters picked without replacement from {l: 3, z: 1, q: 3}. Give prob of picking 1 z and 1 q.\n' | b'1/7\n' | deepmind/math_dataset |
b'Let u be (-10)/2*114/(-15). Suppose -14 = 4*x - u. Suppose 5*k + q = 20, 4*k + q - 2 = 5*k. Solve k*b - z + 15 = 0, -z = z - x for b.\n' | b'-4\n' | b'Let u be (-10)/2*114/(-15). Suppose -14 = 4*x - u. Suppose 5*k + q = 20, 4*k + q - 2 = 5*k. Solve k*b - z + 15 = 0, -z = z - x for b.\n' | b'-4\n' | deepmind/math_dataset |
b'Let f(t) be the third derivative of 1/24*t**4 + 2*t**2 - 1/120*t**6 - 1/6*t**3 + 0*t - 1/15*t**5 + 0. Let d(b) = -3*b + 72. Let j be d(25). What is f(j)?\n' | b'-13\n' | b'Let f(t) be the third derivative of 1/24*t**4 + 2*t**2 - 1/120*t**6 - 1/6*t**3 + 0*t - 1/15*t**5 + 0. Let d(b) = -3*b + 72. Let j be d(25). What is f(j)?\n' | b'-13\n' | deepmind/math_dataset |
b'What is prob of sequence cakb when four letters picked without replacement from {x: 2, f: 1, c: 2, k: 1, b: 1, a: 1}?\n' | b'1/840\n' | b'What is prob of sequence cakb when four letters picked without replacement from {x: 2, f: 1, c: 2, k: 1, b: 1, a: 1}?\n' | b'1/840\n' | deepmind/math_dataset |
b'Let s(y) = -y**3 - 3*y**2 - 4*y - 2. Let h be -1 - (6 - (-42)/(-7)). Let v be s(h). Solve 0 = -v*w + 4*w - o + 1, -4*w - 2*o + 2 = 0 for w.\n' | b'0\n' | b'Let s(y) = -y**3 - 3*y**2 - 4*y - 2. Let h be -1 - (6 - (-42)/(-7)). Let v be s(h). Solve 0 = -v*w + 4*w - o + 1, -4*w - 2*o + 2 = 0 for w.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (t/(t**(-7)*t*t))**(-1/6) assuming t is positive.\n' | b'1/t\n' | b'Simplify (t/(t**(-7)*t*t))**(-1/6) assuming t is positive.\n' | b'1/t\n' | deepmind/math_dataset |
b'Let x(b) be the first derivative of 1493*b**4/4 + 2*b**2 + 99*b - 1843. Find the second derivative of x(p) wrt p.\n' | b'8958*p\n' | b'Let x(b) be the first derivative of 1493*b**4/4 + 2*b**2 + 99*b - 1843. Find the second derivative of x(p) wrt p.\n' | b'8958*p\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 6, z: 7, f: 2, o: 1, w: 4}. What is prob of picking 1 z and 1 o?\n' | b'7/190\n' | b'Two letters picked without replacement from {e: 6, z: 7, f: 2, o: 1, w: 4}. What is prob of picking 1 z and 1 o?\n' | b'7/190\n' | deepmind/math_dataset |
b'Let a(b) = 21*b + 2 - 3*b**2 + 0*b + 4*b**2 - 26*b. Determine a(5).\n' | b'2\n' | b'Let a(b) = 21*b + 2 - 3*b**2 + 0*b + 4*b**2 - 26*b. Determine a(5).\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 3, u: 1, m: 12, g: 2, k: 2}. What is prob of picking 1 g and 2 r?\n' | b'1/190\n' | b'Three letters picked without replacement from {r: 3, u: 1, m: 12, g: 2, k: 2}. What is prob of picking 1 g and 2 r?\n' | b'1/190\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 3, s: 3, j: 2}. Give prob of picking 2 s.\n' | b'3/28\n' | b'Two letters picked without replacement from {o: 3, s: 3, j: 2}. Give prob of picking 2 s.\n' | b'3/28\n' | deepmind/math_dataset |
b'Let f = 13 + -13. Suppose 3*i + 19 + 2 = f. Let t(b) = b + 6. What is t(i)?\n' | b'-1\n' | b'Let f = 13 + -13. Suppose 3*i + 19 + 2 = f. Let t(b) = b + 6. What is t(i)?\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence rf when two letters picked without replacement from zbrbnbnnbuff?\n' | b'1/66\n' | b'What is prob of sequence rf when two letters picked without replacement from zbrbnbnnbuff?\n' | b'1/66\n' | deepmind/math_dataset |
b'Let n be 1 - (1 + -1 + -1). Let y be 0*(-2)/4*-1. Suppose 82 = 2*a - 4*f, 2*a - 6*f + 4*f - 72 = y. Solve -n*j + x = -4*x + a, -16 = -3*j - 5*x for j.\n' | b'-3\n' | b'Let n be 1 - (1 + -1 + -1). Let y be 0*(-2)/4*-1. Suppose 82 = 2*a - 4*f, 2*a - 6*f + 4*f - 72 = y. Solve -n*j + x = -4*x + a, -16 = -3*j - 5*x for j.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((t*t**0)**(1/28))**(-2/91)*t**(-6)*t/t**(-3/2)*((t/t**(-2/5))/t)**47 assuming t is positive.\n' | b't**(48728/3185)\n' | b'Simplify ((t*t**0)**(1/28))**(-2/91)*t**(-6)*t/t**(-3/2)*((t/t**(-2/5))/t)**47 assuming t is positive.\n' | b't**(48728/3185)\n' | deepmind/math_dataset |
b'Let o(a) = -a**3 - 16*a**2 - 28*a + 3. Let b be o(-14). Let r(z) be the first derivative of 1 - 1/4*z**4 + 3/2*z**2 - b*z - 2/3*z**3. What is r(-3)?\n' | b'-3\n' | b'Let o(a) = -a**3 - 16*a**2 - 28*a + 3. Let b be o(-14). Let r(z) be the first derivative of 1 - 1/4*z**4 + 3/2*z**2 - b*z - 2/3*z**3. What is r(-3)?\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (m/m**(-17/4))**(-37)*m/(m*m**(4/25)*m)*m*m/(m/(m/m**(-5/8))) assuming m is positive.\n' | b'm**(-38557/200)\n' | b'Simplify (m/m**(-17/4))**(-37)*m/(m*m**(4/25)*m)*m*m/(m/(m/m**(-5/8))) assuming m is positive.\n' | b'm**(-38557/200)\n' | deepmind/math_dataset |
b'Simplify x**11*x/(x/(x*x**25)) assuming x is positive.\n' | b'x**37\n' | b'Simplify x**11*x/(x/(x*x**25)) assuming x is positive.\n' | b'x**37\n' | deepmind/math_dataset |
b'Let u(r) = -r**3 - 28*r**2 - 25*r + 55. Let y be u(-27). Suppose m = 2*m - 30. Let b(p) = -9*p + 30 - m. Determine b(y).\n' | b'-9\n' | b'Let u(r) = -r**3 - 28*r**2 - 25*r + 55. Let y be u(-27). Suppose m = 2*m - 30. Let b(p) = -9*p + 30 - m. Determine b(y).\n' | b'-9\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bbhbhhh. Give prob of sequence hhhb.\n' | b'3/35\n' | b'Four letters picked without replacement from bbhbhhh. Give prob of sequence hhhb.\n' | b'3/35\n' | deepmind/math_dataset |
b'Calculate prob of sequence djx when three letters picked without replacement from {d: 4, x: 4, j: 5, n: 2}.\n' | b'8/273\n' | b'Calculate prob of sequence djx when three letters picked without replacement from {d: 4, x: 4, j: 5, n: 2}.\n' | b'8/273\n' | deepmind/math_dataset |
b'Suppose 227 = -3*x + 212. Let q(o) = -27*o**2 - 4*o - 9. Let m(y) = -26*y**2 - 5*y - 8. Let a(i) = x*m(i) + 6*q(i). What is the second derivative of a(v) wrt v?\n' | b'-64\n' | b'Suppose 227 = -3*x + 212. Let q(o) = -27*o**2 - 4*o - 9. Let m(y) = -26*y**2 - 5*y - 8. Let a(i) = x*m(i) + 6*q(i). What is the second derivative of a(v) wrt v?\n' | b'-64\n' | deepmind/math_dataset |
b'Let l be (-126)/49 - -7 - (-8)/14. Let q(m) = m**3 - 4*m**2 - 3*m - 10. Let f be q(l). Let n(h) = h**3 - 2 + 4*h - 4*h - h**2 - h. What is n(f)?\n' | b'-2\n' | b'Let l be (-126)/49 - -7 - (-8)/14. Let q(m) = m**3 - 4*m**2 - 3*m - 10. Let f be q(l). Let n(h) = h**3 - 2 + 4*h - 4*h - h**2 - h. What is n(f)?\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -42 = -11*z - 10*z + 7*z. Solve -z*v = p + v - 11, -3*p - 23 = -2*v for p.\n' | b'-5\n' | b'Suppose -42 = -11*z - 10*z + 7*z. Solve -z*v = p + v - 11, -3*p - 23 = -2*v for p.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w and 2 t when four letters picked without replacement from ttwttwttwtt.\n' | b'14/55\n' | b'Calculate prob of picking 2 w and 2 t when four letters picked without replacement from ttwttwttwtt.\n' | b'14/55\n' | deepmind/math_dataset |
b'Suppose -44 = -5*h + 4*k, 4*h = -145*k + 141*k + 64. Solve 11*v - 9*v = 4*x + h, 3*x - 5*v = 5 for x.\n' | b'-5\n' | b'Suppose -44 = -5*h + 4*k, 4*h = -145*k + 141*k + 64. Solve 11*v - 9*v = 4*x + h, 3*x - 5*v = 5 for x.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence iox when three letters picked without replacement from pxolitit?\n' | b'1/168\n' | b'What is prob of sequence iox when three letters picked without replacement from pxolitit?\n' | b'1/168\n' | deepmind/math_dataset |
b'Suppose 0 = 3*m - 3*r - 24, -7*m + 2*m + 32 = -3*r. Solve 2 = -6*j + 4*j + 5*a, -4*j = -m*a + 4 for j.\n' | b'-1\n' | b'Suppose 0 = 3*m - 3*r - 24, -7*m + 2*m + 32 = -3*r. Solve 2 = -6*j + 4*j + 5*a, -4*j = -m*a + 4 for j.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w when two letters picked without replacement from wwwww.\n' | b'1\n' | b'Calculate prob of picking 2 w when two letters picked without replacement from wwwww.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 3, b: 13, y: 2}. Give prob of picking 2 y.\n' | b'1/153\n' | b'Two letters picked without replacement from {d: 3, b: 13, y: 2}. Give prob of picking 2 y.\n' | b'1/153\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 9, q: 4, o: 1, r: 4, b: 2}. Give prob of picking 2 q and 1 r.\n' | b'2/95\n' | b'Three letters picked without replacement from {y: 9, q: 4, o: 1, r: 4, b: 2}. Give prob of picking 2 q and 1 r.\n' | b'2/95\n' | deepmind/math_dataset |
b'Let h(o) be the second derivative of -2*o**3/3 - 3*o**2 + 36*o. Give h(-6).\n' | b'18\n' | b'Let h(o) be the second derivative of -2*o**3/3 - 3*o**2 + 36*o. Give h(-6).\n' | b'18\n' | deepmind/math_dataset |
b'Simplify (p**(2/7)*p)**(-5/7)/((p*p**(1/4))/p*p*p/(p**(3/2)*p)*p) assuming p is positive.\n' | b'p**(-327/196)\n' | b'Simplify (p**(2/7)*p)**(-5/7)/((p*p**(1/4))/p*p*p/(p**(3/2)*p)*p) assuming p is positive.\n' | b'p**(-327/196)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 1, e: 3, x: 4, n: 1, s: 6, p: 1}. Give prob of picking 1 n and 1 p.\n' | b'1/120\n' | b'Two letters picked without replacement from {w: 1, e: 3, x: 4, n: 1, s: 6, p: 1}. Give prob of picking 1 n and 1 p.\n' | b'1/120\n' | deepmind/math_dataset |
b'Simplify q*q**(-3/7)*q*q/(q/q**25)*(q/q**(-20))**(-12) assuming q is positive.\n' | b'q**(-1578/7)\n' | b'Simplify q*q**(-3/7)*q*q/(q/q**25)*(q/q**(-20))**(-12) assuming q is positive.\n' | b'q**(-1578/7)\n' | deepmind/math_dataset |
b'What is prob of sequence ru when two letters picked without replacement from ruuuuuuruuuuuuuuuruu?\n' | b'51/380\n' | b'What is prob of sequence ru when two letters picked without replacement from ruuuuuuruuuuuuuuuruu?\n' | b'51/380\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dedjr. What is prob of sequence ed?\n' | b'1/10\n' | b'Two letters picked without replacement from dedjr. What is prob of sequence ed?\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose -3*g + 49 = -2*v, 4*v = 5*v - 4. Suppose -16*c - 21 = -g*c. Solve -10 = -2*q + c*q, 3*q = t - 10 for t.\n' | b'4\n' | b'Suppose -3*g + 49 = -2*v, 4*v = 5*v - 4. Suppose -16*c - 21 = -g*c. Solve -10 = -2*q + c*q, 3*q = t - 10 for t.\n' | b'4\n' | deepmind/math_dataset |
b'Let q = -129 - -178. Find the second derivative of 27*m**3 + 39*m**3 - q*m**3 - m**5 - 72*m + 48*m**3 wrt m.\n' | b'-20*m**3 + 390*m\n' | b'Let q = -129 - -178. Find the second derivative of 27*m**3 + 39*m**3 - q*m**3 - m**5 - 72*m + 48*m**3 wrt m.\n' | b'-20*m**3 + 390*m\n' | deepmind/math_dataset |
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