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 i/i**(-1/11)*i**(-1/6) assuming i is positive.\n' | b'i**(61/66)\n' | b'Simplify i/i**(-1/11)*i**(-1/6) assuming i is positive.\n' | b'i**(61/66)\n' | deepmind/math_dataset |
b'Suppose 0 = -w - 2*w + 6. Let p = -9 - -11. Suppose -p*y = -2*n - 12, -3*y + 5*n - 4 = -22. Solve -h - y = -5*m + 2, w = -m - h for m.\n' | b'1\n' | b'Suppose 0 = -w - 2*w + 6. Let p = -9 - -11. Suppose -p*y = -2*n - 12, -3*y + 5*n - 4 = -22. Solve -h - y = -5*m + 2, w = -m - h for m.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 5, l: 2}. Give prob of picking 3 e.\n' | b'2/7\n' | b'Three letters picked without replacement from {e: 5, l: 2}. Give prob of picking 3 e.\n' | b'2/7\n' | deepmind/math_dataset |
b'Let t(y) be the second derivative of 0*y**6 + 0*y**4 + 0*y**5 + 2/21*y**7 + 0*y**2 + 11*y + 0 + 13/3*y**3. Find the second derivative of t(u) wrt u.\n' | b'80*u**3\n' | b'Let t(y) be the second derivative of 0*y**6 + 0*y**4 + 0*y**5 + 2/21*y**7 + 0*y**2 + 11*y + 0 + 13/3*y**3. Find the second derivative of t(u) wrt u.\n' | b'80*u**3\n' | deepmind/math_dataset |
b'Suppose 3*u + 2*a = 2*u + 71, -4*u + 319 = a. Find the second derivative of 3*f**3 + 5 - 74 + u*f - 79*f - f**2 wrt f.\n' | b'18*f - 2\n' | b'Suppose 3*u + 2*a = 2*u + 71, -4*u + 319 = a. Find the second derivative of 3*f**3 + 5 - 74 + u*f - 79*f - f**2 wrt f.\n' | b'18*f - 2\n' | deepmind/math_dataset |
b'Let v(a) be the second derivative of a**3/6 - a**2/2 + 6*a. Let n be v(7). Let c(h) = h - 7 + 1 + 1 + n. Calculate c(1).\n' | b'2\n' | b'Let v(a) be the second derivative of a**3/6 - a**2/2 + 6*a. Let n be v(7). Let c(h) = h - 7 + 1 + 1 + n. Calculate c(1).\n' | b'2\n' | deepmind/math_dataset |
b'Differentiate 1226 - 256*f**4 + 244*f**4 - 77*f**3 - 3046 - 1870 wrt f.\n' | b'-48*f**3 - 231*f**2\n' | b'Differentiate 1226 - 256*f**4 + 244*f**4 - 77*f**3 - 3046 - 1870 wrt f.\n' | b'-48*f**3 - 231*f**2\n' | deepmind/math_dataset |
b'Suppose 5 = 2*z - z, 5*z - 27 = -2*s. Let l be -5 - -20 - (-1)/s. What is the first derivative of -6 + l - 13 + n**4 wrt n?\n' | b'4*n**3\n' | b'Suppose 5 = 2*z - z, 5*z - 27 = -2*s. Let l be -5 - -20 - (-1)/s. What is the first derivative of -6 + l - 13 + n**4 wrt n?\n' | b'4*n**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 3, n: 7}. What is prob of sequence nddn?\n' | b'1/20\n' | b'Four letters picked without replacement from {d: 3, n: 7}. What is prob of sequence nddn?\n' | b'1/20\n' | deepmind/math_dataset |
b'Calculate prob of sequence jjw when three letters picked without replacement from {w: 4, j: 15}.\n' | b'140/969\n' | b'Calculate prob of sequence jjw when three letters picked without replacement from {w: 4, j: 15}.\n' | b'140/969\n' | deepmind/math_dataset |
b'Simplify (x**(6/5)*x)/x**(2/27)*(x*x/(x*x*x*x**(1/3)*x)*x)**13*((x/(x**(2/7)*x*x))/((x/x**7)/x))/(x**(-1)/(x/(x**(1/5)*x*x)*x)) assuming x is positive.\n' | b'x**(-1643/189)\n' | b'Simplify (x**(6/5)*x)/x**(2/27)*(x*x/(x*x*x*x**(1/3)*x)*x)**13*((x/(x**(2/7)*x*x))/((x/x**7)/x))/(x**(-1)/(x/(x**(1/5)*x*x)*x)) assuming x is positive.\n' | b'x**(-1643/189)\n' | deepmind/math_dataset |
b'Let g(t) = -t**3 + 8*t**2 - 3. Let o be g(8). Let z be (-2)/(-1 - o/6). Suppose z*h - 60 = -0*h. Solve s - h = -5*i, 0 = 2*i + 2*s - 1 - 5 for i.\n' | b'3\n' | b'Let g(t) = -t**3 + 8*t**2 - 3. Let o be g(8). Let z be (-2)/(-1 - o/6). Suppose z*h - 60 = -0*h. Solve s - h = -5*i, 0 = 2*i + 2*s - 1 - 5 for i.\n' | b'3\n' | deepmind/math_dataset |
b'Let a(l) be the third derivative of l**6/120 + l**5/15 + l**4/24 - 5*l**3/6 + 193*l**2. What is a(-4)?\n' | b'-9\n' | b'Let a(l) be the third derivative of l**6/120 + l**5/15 + l**4/24 - 5*l**3/6 + 193*l**2. What is a(-4)?\n' | b'-9\n' | deepmind/math_dataset |
b'Calculate prob of sequence po when two letters picked without replacement from fopfppoopoooopo.\n' | b'4/21\n' | b'Calculate prob of sequence po when two letters picked without replacement from fopfppoopoooopo.\n' | b'4/21\n' | deepmind/math_dataset |
b'Suppose -l = -4*s + 33, 2*s - 2*l = 3*s - 6. Solve 0 = 4*u - 4*t + s, -3*u - 2*t + 0*t = -19 for u.\n' | b'3\n' | b'Suppose -l = -4*s + 33, 2*s - 2*l = 3*s - 6. Solve 0 = 4*u - 4*t + s, -3*u - 2*t + 0*t = -19 for u.\n' | b'3\n' | deepmind/math_dataset |
b'Let a = 1452 - 1452. Let j(m) be the first derivative of -1/3*m**3 + 0*m + 0*m**4 + 0*m**5 + a*m**2 + 19 + 1/3*m**6. Find the third derivative of j(w) wrt w.\n' | b'120*w**2\n' | b'Let a = 1452 - 1452. Let j(m) be the first derivative of -1/3*m**3 + 0*m + 0*m**4 + 0*m**5 + a*m**2 + 19 + 1/3*m**6. Find the third derivative of j(w) wrt w.\n' | b'120*w**2\n' | deepmind/math_dataset |
b'Let p(z) = 12*z**3 + 1169*z**2 + 11*z - 468. Let y(j) = 2*j**3 - j**2 + 2*j + 1. Let i(c) = -p(c) + 5*y(c). Find the second derivative of i(g) wrt g.\n' | b'-12*g - 2348\n' | b'Let p(z) = 12*z**3 + 1169*z**2 + 11*z - 468. Let y(j) = 2*j**3 - j**2 + 2*j + 1. Let i(c) = -p(c) + 5*y(c). Find the second derivative of i(g) wrt g.\n' | b'-12*g - 2348\n' | deepmind/math_dataset |
b'Simplify k/k**8*(k*k/(k**(11/3)/k))/k assuming k is positive.\n' | b'k**(-26/3)\n' | b'Simplify k/k**8*(k*k/(k**(11/3)/k))/k assuming k is positive.\n' | b'k**(-26/3)\n' | deepmind/math_dataset |
b'Suppose -10*b - 36 = -26. Let k(n) = -2*n**2. What is k(b)?\n' | b'-2\n' | b'Suppose -10*b - 36 = -26. Let k(n) = -2*n**2. What is k(b)?\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wvvvwvvwwvvwvvwvwvv. What is prob of picking 1 v and 1 w?\n' | b'28/57\n' | b'Two letters picked without replacement from wvvvwvvwwvvwvvwvwvv. What is prob of picking 1 v and 1 w?\n' | b'28/57\n' | deepmind/math_dataset |
b'What is prob of picking 2 s when two letters picked without replacement from mfssmffmmmssmfssm?\n' | b'15/136\n' | b'What is prob of picking 2 s when two letters picked without replacement from mfssmffmmmssmfssm?\n' | b'15/136\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {c: 2, s: 1, z: 2, h: 1, u: 1, j: 1}. Give prob of sequence zzh.\n' | b'1/168\n' | b'Three letters picked without replacement from {c: 2, s: 1, z: 2, h: 1, u: 1, j: 1}. Give prob of sequence zzh.\n' | b'1/168\n' | deepmind/math_dataset |
b'What is prob of sequence be when two letters picked without replacement from {w: 6, b: 1, a: 4, e: 2}?\n' | b'1/78\n' | b'What is prob of sequence be when two letters picked without replacement from {w: 6, b: 1, a: 4, e: 2}?\n' | b'1/78\n' | deepmind/math_dataset |
b'Calculate prob of sequence lwm when three letters picked without replacement from {w: 1, n: 2, m: 1, t: 2, j: 3, l: 3}.\n' | b'1/440\n' | b'Calculate prob of sequence lwm when three letters picked without replacement from {w: 1, n: 2, m: 1, t: 2, j: 3, l: 3}.\n' | b'1/440\n' | deepmind/math_dataset |
b'Two letters picked without replacement from sshhzhshhshzhhhh. Give prob of sequence zz.\n' | b'1/120\n' | b'Two letters picked without replacement from sshhzhshhshzhhhh. Give prob of sequence zz.\n' | b'1/120\n' | deepmind/math_dataset |
b'What is prob of picking 1 a, 1 x, and 1 m when three letters picked without replacement from {k: 1, m: 4, x: 3, v: 2, a: 1}?\n' | b'4/55\n' | b'What is prob of picking 1 a, 1 x, and 1 m when three letters picked without replacement from {k: 1, m: 4, x: 3, v: 2, a: 1}?\n' | b'4/55\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c, 1 z, and 1 w when three letters picked without replacement from {z: 1, w: 2, g: 7, c: 10}.\n' | b'1/57\n' | b'Calculate prob of picking 1 c, 1 z, and 1 w when three letters picked without replacement from {z: 1, w: 2, g: 7, c: 10}.\n' | b'1/57\n' | deepmind/math_dataset |
b'Let w be (-44)/2 - (-179 + 157). Solve 2*c - 2*a + 22 = w, -4*a + 32 = 3*c - 5*c for c.\n' | b'-6\n' | b'Let w be (-44)/2 - (-179 + 157). Solve 2*c - 2*a + 22 = w, -4*a + 32 = 3*c - 5*c for c.\n' | b'-6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 3, g: 5, j: 4}. What is prob of picking 1 f and 2 j?\n' | b'9/110\n' | b'Three letters picked without replacement from {f: 3, g: 5, j: 4}. What is prob of picking 1 f and 2 j?\n' | b'9/110\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c, 1 g, and 2 o when four letters picked without replacement from {c: 2, g: 2, o: 2}.\n' | b'4/15\n' | b'Calculate prob of picking 1 c, 1 g, and 2 o when four letters picked without replacement from {c: 2, g: 2, o: 2}.\n' | b'4/15\n' | deepmind/math_dataset |
b'What is prob of sequence vuuw when four letters picked without replacement from {v: 1, w: 8, u: 4}?\n' | b'4/715\n' | b'What is prob of sequence vuuw when four letters picked without replacement from {v: 1, w: 8, u: 4}?\n' | b'4/715\n' | deepmind/math_dataset |
b'Let c(u) = 2*u + 1. Suppose -2 = -4*j - y + 3, -4*y + 20 = 3*j. Suppose 2*f - 6*f - 2*x = j, -x - 6 = -f. Determine c(f).\n' | b'5\n' | b'Let c(u) = 2*u + 1. Suppose -2 = -4*j - y + 3, -4*y + 20 = 3*j. Suppose 2*f - 6*f - 2*x = j, -x - 6 = -f. Determine c(f).\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 6}. Give prob of picking 4 h.\n' | b'1\n' | b'Four letters picked without replacement from {h: 6}. Give prob of picking 4 h.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (b*b*b**(-2))/b*b**(-1/2)*(b**1)**(-2/15) assuming b is positive.\n' | b'b**(-49/30)\n' | b'Simplify (b*b*b**(-2))/b*b**(-1/2)*(b**1)**(-2/15) assuming b is positive.\n' | b'b**(-49/30)\n' | deepmind/math_dataset |
b'Let c(r) = -r**3 - 10*r**2 + 12*r + 7. Suppose -10*q - 3*f = -8*q + 28, -5 = q - 3*f. Give c(q).\n' | b'-4\n' | b'Let c(r) = -r**3 - 10*r**2 + 12*r + 7. Suppose -10*q - 3*f = -8*q + 28, -5 = q - 3*f. Give c(q).\n' | b'-4\n' | deepmind/math_dataset |
b'Let p(l) = -2*l**2 + 1. Let x = 2 - -1. Let m(s) = -3*s**2 + 1. Let z(g) = x*p(g) - 4*m(g). Calculate z(-1).\n' | b'5\n' | b'Let p(l) = -2*l**2 + 1. Let x = 2 - -1. Let m(s) = -3*s**2 + 1. Let z(g) = x*p(g) - 4*m(g). Calculate z(-1).\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence mrrm when four letters picked without replacement from rmmmmrmr.\n' | b'1/14\n' | b'Calculate prob of sequence mrrm when four letters picked without replacement from rmmmmrmr.\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose -3*f - 19 = 3*x - 28, -3*f = -5*x + 7. Solve 0 = 2*m + t - x, 4*m - 11*t = -6*t + 4 for m.\n' | b'1\n' | b'Suppose -3*f - 19 = 3*x - 28, -3*f = -5*x + 7. Solve 0 = 2*m + t - x, 4*m - 11*t = -6*t + 4 for m.\n' | b'1\n' | deepmind/math_dataset |
b'Let b(g) be the first derivative of -g**4/4 - g**3 - 3*g**2/2 - 2*g - 69. What is b(-4)?\n' | b'26\n' | b'Let b(g) be the first derivative of -g**4/4 - g**3 - 3*g**2/2 - 2*g - 69. What is b(-4)?\n' | b'26\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 1 d when two letters picked without replacement from {o: 6, y: 2, j: 5, n: 1, d: 2, u: 1}.\n' | b'1/68\n' | b'Calculate prob of picking 1 u and 1 d when two letters picked without replacement from {o: 6, y: 2, j: 5, n: 1, d: 2, u: 1}.\n' | b'1/68\n' | deepmind/math_dataset |
b'Let v = 52 + -50. Let j be ((-15)/2)/3*-2. Solve -j*n - 4*u = 2 + 29, 5*u = v*n - 14 for n.\n' | b'-3\n' | b'Let v = 52 + -50. Let j be ((-15)/2)/3*-2. Solve -j*n - 4*u = 2 + 29, 5*u = v*n - 14 for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z, 1 b, and 1 p when three letters picked without replacement from gbggfppppqggzbp.\n' | b'2/91\n' | b'Calculate prob of picking 1 z, 1 b, and 1 p when three letters picked without replacement from gbggfppppqggzbp.\n' | b'2/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kqqqqwpqiw. What is prob of sequence iw?\n' | b'1/45\n' | b'Two letters picked without replacement from kqqqqwpqiw. What is prob of sequence iw?\n' | b'1/45\n' | deepmind/math_dataset |
b'Suppose 0 = -14*w + 6*w + 256. Solve -s = 3*h - 15, -3*h - 4*s = 2*h - w for h.\n' | b'4\n' | b'Suppose 0 = -14*w + 6*w + 256. Solve -s = 3*h - 15, -3*h - 4*s = 2*h - w for h.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {o: 5, n: 4, j: 2}. Give prob of sequence jnjn.\n' | b'1/330\n' | b'Four letters picked without replacement from {o: 5, n: 4, j: 2}. Give prob of sequence jnjn.\n' | b'1/330\n' | deepmind/math_dataset |
b'Let p be ((-2)/(-2))/(2/12). Suppose 2*f - 4*f + p = 0. Solve -2*a = 5*d + 11, 0*d = f*d - 3*a - 6 for d.\n' | b'-1\n' | b'Let p be ((-2)/(-2))/(2/12). Suppose 2*f - 4*f + p = 0. Solve -2*a = 5*d + 11, 0*d = f*d - 3*a - 6 for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -4*f = -22 + 6. Suppose -f - 11 = -5*w. What is the second derivative of 666*x - 677*x + w*x**5 + 16*x**5 wrt x?\n' | b'380*x**3\n' | b'Suppose -4*f = -22 + 6. Suppose -f - 11 = -5*w. What is the second derivative of 666*x - 677*x + w*x**5 + 16*x**5 wrt x?\n' | b'380*x**3\n' | deepmind/math_dataset |
b'Suppose -5*w + 30 = -5*m - 55, 5*m + 32 = 2. Suppose -5*p + 7 = -8. Solve -2*l = -p*k + 19, l + 2*k + w = 4*k for l.\n' | b'-5\n' | b'Suppose -5*w + 30 = -5*m - 55, 5*m + 32 = 2. Suppose -5*p + 7 = -8. Solve -2*l = -p*k + 19, l + 2*k + w = 4*k for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -3*b + 30 = -15. Suppose -3*r + b = -0*r. Solve -3*t - r*d - 18 = 0, -8 + 23 = -3*t - 4*d for t.\n' | b'-1\n' | b'Suppose -3*b + 30 = -15. Suppose -3*r + b = -0*r. Solve -3*t - r*d - 18 = 0, -8 + 23 = -3*t - 4*d for t.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence fmf when three letters picked without replacement from {m: 12, f: 7}.\n' | b'28/323\n' | b'Calculate prob of sequence fmf when three letters picked without replacement from {m: 12, f: 7}.\n' | b'28/323\n' | deepmind/math_dataset |
b'Let n be ((-8)/20)/(6/(-90)). Let d(o) = o**3 + o**2 - o. Let b be d(0). Let w(f) = -1 - 1 - 3*f + 4*f + b*f. Determine w(n).\n' | b'4\n' | b'Let n be ((-8)/20)/(6/(-90)). Let d(o) = o**3 + o**2 - o. Let b be d(0). Let w(f) = -1 - 1 - 3*f + 4*f + b*f. Determine w(n).\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 3*k + 1621 + 1178 = 0. Let d = k + 243. Let q be d/(-54) + 4/18. Solve -5*h = 3*n - q, -4*h = -h + 2*n - 7 for h.\n' | b'5\n' | b'Suppose 3*k + 1621 + 1178 = 0. Let d = k + 243. Let q be d/(-54) + 4/18. Solve -5*h = 3*n - q, -4*h = -h + 2*n - 7 for h.\n' | b'5\n' | deepmind/math_dataset |
b'Let l = 17 - -25. Let u = 46 - l. Suppose -y - 7 = -z, -z + u = 3*z + 4*y. Solve 2*m + 2*r = z, -5*m = -3*m - 5*r - 25 for m.\n' | b'5\n' | b'Let l = 17 - -25. Let u = 46 - l. Suppose -y - 7 = -z, -z + u = 3*z + 4*y. Solve 2*m + 2*r = z, -5*m = -3*m - 5*r - 25 for m.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 9*c - 9 - 27 = 0. Let v be 14/(-4) + (-1)/(-2). Let d be 0/(v/c + (-25)/20). Solve 2*f - 4*h = -16, d = 4*h - 0*h - 12 for f.\n' | b'-2\n' | b'Suppose 9*c - 9 - 27 = 0. Let v be 14/(-4) + (-1)/(-2). Let d be 0/(v/c + (-25)/20). Solve 2*f - 4*h = -16, d = 4*h - 0*h - 12 for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Let z be (4*(-1)/8)/((-1)/12). Let t(u) = u**3 - 6*u**2 + u - 3. Give t(z).\n' | b'3\n' | b'Let z be (4*(-1)/8)/((-1)/12). Let t(u) = u**3 - 6*u**2 + u - 3. Give t(z).\n' | b'3\n' | deepmind/math_dataset |
b'Let d be (247 + 2)/(3/(-2)). Let c = 171 + d. Solve -5*i = -0*i - 4*z + 17, -3*i - c*z - 25 = 0 for i.\n' | b'-5\n' | b'Let d be (247 + 2)/(3/(-2)). Let c = 171 + d. Solve -5*i = -0*i - 4*z + 17, -3*i - c*z - 25 = 0 for i.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify d**(2/73)/(d/(d**(4/9)*d*d*d))*d*d**(-10/9)*d/d**7 assuming d is positive.\n' | b'd**(-797/219)\n' | b'Simplify d**(2/73)/(d/(d**(4/9)*d*d*d))*d*d**(-10/9)*d/d**7 assuming d is positive.\n' | b'd**(-797/219)\n' | deepmind/math_dataset |
b'Let g(b) be the second derivative of -b**8/420 - b**4/8 - b**3/3 + 16*b. Let f(d) be the second derivative of g(d). Differentiate f(c) wrt c.\n' | b'-16*c**3\n' | b'Let g(b) be the second derivative of -b**8/420 - b**4/8 - b**3/3 + 16*b. Let f(d) be the second derivative of g(d). Differentiate f(c) wrt c.\n' | b'-16*c**3\n' | deepmind/math_dataset |
b'Simplify (f**13*f**(-6))**(7/10) assuming f is positive.\n' | b'f**(49/10)\n' | b'Simplify (f**13*f**(-6))**(7/10) assuming f is positive.\n' | b'f**(49/10)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 1, m: 3}. Give prob of sequence mmmi.\n' | b'1/4\n' | b'Four letters picked without replacement from {i: 1, m: 3}. Give prob of sequence mmmi.\n' | b'1/4\n' | deepmind/math_dataset |
b'Let z = 397 + -569. Let q be (z/(-8))/(4/48). What is the derivative of -1 - q*b**3 + 17*b**4 + 258*b**3 wrt b?\n' | b'68*b**3\n' | b'Let z = 397 + -569. Let q be (z/(-8))/(4/48). What is the derivative of -1 - q*b**3 + 17*b**4 + 258*b**3 wrt b?\n' | b'68*b**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {s: 1, f: 9, w: 1, y: 2, j: 4}. Give prob of sequence fwjs.\n' | b'3/4760\n' | b'Four letters picked without replacement from {s: 1, f: 9, w: 1, y: 2, j: 4}. Give prob of sequence fwjs.\n' | b'3/4760\n' | deepmind/math_dataset |
b'Calculate prob of sequence pnbe when four letters picked without replacement from {s: 1, n: 2, p: 1, e: 1, b: 2}.\n' | b'1/210\n' | b'Calculate prob of sequence pnbe when four letters picked without replacement from {s: 1, n: 2, p: 1, e: 1, b: 2}.\n' | b'1/210\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qiaiifqiafiqiaiqiiai. Give prob of picking 1 a and 1 i.\n' | b'4/19\n' | b'Two letters picked without replacement from qiaiifqiafiqiaiqiiai. Give prob of picking 1 a and 1 i.\n' | b'4/19\n' | deepmind/math_dataset |
b'Let r(x) = -x - 1. Suppose -2*v - 2*v = 4. Let y(i) = -3. Let d(j) = 6. Let k(g) = 5*d(g) + 9*y(g). Let m(l) = v*k(l) + r(l). What is m(4)?\n' | b'-8\n' | b'Let r(x) = -x - 1. Suppose -2*v - 2*v = 4. Let y(i) = -3. Let d(j) = 6. Let k(g) = 5*d(g) + 9*y(g). Let m(l) = v*k(l) + r(l). What is m(4)?\n' | b'-8\n' | deepmind/math_dataset |
b'What is prob of picking 3 i when three letters picked without replacement from {i: 3, m: 2, q: 1, k: 6, f: 5}?\n' | b'1/680\n' | b'What is prob of picking 3 i when three letters picked without replacement from {i: 3, m: 2, q: 1, k: 6, f: 5}?\n' | b'1/680\n' | deepmind/math_dataset |
b'Suppose -m + 0 + 2 = 0. Let v(b) = b. Let z be v(m). Suppose 3*d - 2*o - 14 = 0, 4*o - 6 = 2*d - z. Solve 2*n + 0*n = d, -10 = -5*u - 5*n for u.\n' | b'-2\n' | b'Suppose -m + 0 + 2 = 0. Let v(b) = b. Let z be v(m). Suppose 3*d - 2*o - 14 = 0, 4*o - 6 = 2*d - z. Solve 2*n + 0*n = d, -10 = -5*u - 5*n for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Let q(i) = -i**2 - 6 + 4*i**3 - 3*i**3 - 4*i + 5*i**2. Let c(j) = j**3 - 225*j**2 - 474*j + 4536. Let f be c(227). Determine q(f).\n' | b'10\n' | b'Let q(i) = -i**2 - 6 + 4*i**3 - 3*i**3 - 4*i + 5*i**2. Let c(j) = j**3 - 225*j**2 - 474*j + 4536. Let f be c(227). Determine q(f).\n' | b'10\n' | deepmind/math_dataset |
b'What is prob of sequence dx when two letters picked without replacement from dqdqdzxdqzzddqzxdddd?\n' | b'1/19\n' | b'What is prob of sequence dx when two letters picked without replacement from dqdqdzxdqzzddqzxdddd?\n' | b'1/19\n' | deepmind/math_dataset |
b'Let m(v) be the second derivative of -v**3/6 - v**2 - v. Suppose 5*r - 4*g = -25, -r + 5*r + 4*g + 20 = 0. What is m(r)?\n' | b'3\n' | b'Let m(v) be the second derivative of -v**3/6 - v**2 - v. Suppose 5*r - 4*g = -25, -r + 5*r + 4*g + 20 = 0. What is m(r)?\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from osssiososiss. Give prob of picking 1 o, 2 s, and 1 i.\n' | b'14/55\n' | b'Four letters picked without replacement from osssiososiss. Give prob of picking 1 o, 2 s, and 1 i.\n' | b'14/55\n' | deepmind/math_dataset |
b'Suppose 0 = -603*r + 565*r + 190. Let q(v) = v**3 - 4*v**2 + 3*v + 4. Let z be q(3). Solve -r*y - 7 = -o, 0 = 4*o + 5*y - y - z for o.\n' | b'2\n' | b'Suppose 0 = -603*r + 565*r + 190. Let q(v) = v**3 - 4*v**2 + 3*v + 4. Let z be q(3). Solve -r*y - 7 = -o, 0 = 4*o + 5*y - y - z for o.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 3, b: 7, y: 1, i: 6}. What is prob of sequence bbyi?\n' | b'3/680\n' | b'Four letters picked without replacement from {l: 3, b: 7, y: 1, i: 6}. What is prob of sequence bbyi?\n' | b'3/680\n' | deepmind/math_dataset |
b'What is prob of sequence ks when two letters picked without replacement from {s: 2, k: 3, x: 4, t: 1, a: 2}?\n' | b'1/22\n' | b'What is prob of sequence ks when two letters picked without replacement from {s: 2, k: 3, x: 4, t: 1, a: 2}?\n' | b'1/22\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 1, y: 7}. What is prob of sequence yyfy?\n' | b'1/8\n' | b'Four letters picked without replacement from {f: 1, y: 7}. What is prob of sequence yyfy?\n' | b'1/8\n' | deepmind/math_dataset |
b'Suppose l + 3*n + 14 = 0, 3*l + 2 = -n - 0. Let a be 3 + -1*l*(-7 - 0). Differentiate -5 + 4 - a*z - 8 with respect to z.\n' | b'-10\n' | b'Suppose l + 3*n + 14 = 0, 3*l + 2 = -n - 0. Let a be 3 + -1*l*(-7 - 0). Differentiate -5 + 4 - a*z - 8 with respect to z.\n' | b'-10\n' | deepmind/math_dataset |
b'Let z be 0 + 4 + -2 - -6. Suppose -r - 12 = -5*r. Suppose 6*j - 15 = r*j. Solve -4*t - z = 2*a, t + j*a + 1 = -1 for t.\n' | b'-2\n' | b'Let z be 0 + 4 + -2 - -6. Suppose -r - 12 = -5*r. Suppose 6*j - 15 = r*j. Solve -4*t - z = 2*a, t + j*a + 1 = -1 for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -m + 4 = 2*t, 0 = 5*m + t - 9 - 2. Find the third derivative of 3*w**5 - 3*w**2 + 2*w**2 + 3*w**m wrt w.\n' | b'180*w**2\n' | b'Suppose -m + 4 = 2*t, 0 = 5*m + t - 9 - 2. Find the third derivative of 3*w**5 - 3*w**2 + 2*w**2 + 3*w**m wrt w.\n' | b'180*w**2\n' | deepmind/math_dataset |
b'Let n(h) = 4*h**2 - 6*h - 8. Let i be n(6). Suppose -4 = -4*r + i. Suppose 4*l - r = 2*v, l = -v + 2*v + 8. Solve 0 = z + 4*j + 1, l*z + j = -0*z - 24 for z.\n' | b'-5\n' | b'Let n(h) = 4*h**2 - 6*h - 8. Let i be n(6). Suppose -4 = -4*r + i. Suppose 4*l - r = 2*v, l = -v + 2*v + 8. Solve 0 = z + 4*j + 1, l*z + j = -0*z - 24 for z.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence mnh when three letters picked without replacement from {n: 1, o: 10, h: 1, z: 2, x: 3, m: 2}?\n' | b'1/2907\n' | b'What is prob of sequence mnh when three letters picked without replacement from {n: 1, o: 10, h: 1, z: 2, x: 3, m: 2}?\n' | b'1/2907\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 i and 2 b when four letters picked without replacement from ttbttbtbtbbbiittbt.\n' | b'7/1020\n' | b'Calculate prob of picking 2 i and 2 b when four letters picked without replacement from ttbttbtbtbbbiittbt.\n' | b'7/1020\n' | deepmind/math_dataset |
b'Let s be (-3)/(0 - -8 - 7). Let x(n) = n**3 - 10*n + 1. Let u be x(s). Solve 3*q = -u*y + 21, -3*y = -5*q - y + 9 for q.\n' | b'3\n' | b'Let s be (-3)/(0 - -8 - 7). Let x(n) = n**3 - 10*n + 1. Let u be x(s). Solve 3*q = -u*y + 21, -3*y = -5*q - y + 9 for q.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((r**(2/13)*r)**(-16)/(((r/r**(-3/4)*r)/r)/r**(-1/2)))**(8/13) assuming r is positive.\n' | b'r**(-2154/169)\n' | b'Simplify ((r**(2/13)*r)**(-16)/(((r/r**(-3/4)*r)/r)/r**(-1/2)))**(8/13) assuming r is positive.\n' | b'r**(-2154/169)\n' | deepmind/math_dataset |
b'Let f(m) = 2*m - 6*m - 3*m. Let w = -96 - -99. Suppose 0 = u + 3*r - 1, -4*u = -w*u + 5*r - 1. Calculate f(u).\n' | b'-7\n' | b'Let f(m) = 2*m - 6*m - 3*m. Let w = -96 - -99. Suppose 0 = u + 3*r - 1, -4*u = -w*u + 5*r - 1. Calculate f(u).\n' | b'-7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xxxsqxspzxzzssj. Give prob of sequence zqs.\n' | b'2/455\n' | b'Three letters picked without replacement from xxxsqxspzxzzssj. Give prob of sequence zqs.\n' | b'2/455\n' | deepmind/math_dataset |
b'Let v be 2/(-5) + 3/(-15)*-87. Solve -2*h = -s + 2*h - v, 0 = -3*s - 3*h - 6 for s.\n' | b'-5\n' | b'Let v be 2/(-5) + 3/(-15)*-87. Solve -2*h = -s + 2*h - v, 0 = -3*s - 3*h - 6 for s.\n' | b'-5\n' | deepmind/math_dataset |
b'Let s be 24 + (12/72)/((-2)/(-12)). What is the first derivative of -10*o + 53 + 0*o**2 + s*o**2 + 21*o**2 + 8*o wrt o?\n' | b'92*o - 2\n' | b'Let s be 24 + (12/72)/((-2)/(-12)). What is the first derivative of -10*o + 53 + 0*o**2 + s*o**2 + 21*o**2 + 8*o wrt o?\n' | b'92*o - 2\n' | deepmind/math_dataset |
b'Simplify n**(-19/4)/(n*n/(n/((n*n**(-8)*n)/n))) assuming n is positive.\n' | b'n**(5/4)\n' | b'Simplify n**(-19/4)/(n*n/(n/((n*n**(-8)*n)/n))) assuming n is positive.\n' | b'n**(5/4)\n' | deepmind/math_dataset |
b'Simplify (w**(-5/6)*w**(-1/2))**37 assuming w is positive.\n' | b'w**(-148/3)\n' | b'Simplify (w**(-5/6)*w**(-1/2))**37 assuming w is positive.\n' | b'w**(-148/3)\n' | deepmind/math_dataset |
b'Let c(v) = 5*v**2 - 1. Let k(l) = l**2 - l + 1. Let o be k(0). Suppose 2 = -0*i - i, 2*i - 4 = -4*w. Suppose 3*h - o = w*h. Determine c(h).\n' | b'4\n' | b'Let c(v) = 5*v**2 - 1. Let k(l) = l**2 - l + 1. Let o be k(0). Suppose 2 = -0*i - i, 2*i - 4 = -4*w. Suppose 3*h - o = w*h. Determine c(h).\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 2 e and 2 c when four letters picked without replacement from {e: 2, g: 1, v: 1, c: 2}?\n' | b'1/15\n' | b'What is prob of picking 2 e and 2 c when four letters picked without replacement from {e: 2, g: 1, v: 1, c: 2}?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let v(i) be the third derivative of -37*i**9/504 - i**6/120 + 23*i**5/60 + i**2 + 8*i. What is the third derivative of v(z) wrt z?\n' | b'-4440*z**3 - 6\n' | b'Let v(i) be the third derivative of -37*i**9/504 - i**6/120 + 23*i**5/60 + i**2 + 8*i. What is the third derivative of v(z) wrt z?\n' | b'-4440*z**3 - 6\n' | deepmind/math_dataset |
b'What is prob of sequence ququ when four letters picked without replacement from uququququuu?\n' | b'7/110\n' | b'What is prob of sequence ququ when four letters picked without replacement from uququququuu?\n' | b'7/110\n' | deepmind/math_dataset |
b'Simplify (((h/h**(-2)*h)**(-15)*(h/(h**9/h))/h**(-6/17))**(-34))**(-4/27) assuming h is positive.\n' | b'h**(-9064/27)\n' | b'Simplify (((h/h**(-2)*h)**(-15)*(h/(h**9/h))/h**(-6/17))**(-34))**(-4/27) assuming h is positive.\n' | b'h**(-9064/27)\n' | deepmind/math_dataset |
b'Simplify ((r**(-10/9)*r**4)**(-3/26))**40 assuming r is positive.\n' | b'r**(-40/3)\n' | b'Simplify ((r**(-10/9)*r**4)**(-3/26))**40 assuming r is positive.\n' | b'r**(-40/3)\n' | deepmind/math_dataset |
b'Simplify (i**(-2/7))**37*(((i/(i*i**0/i*i))/i*i)/i)**43*(i**(-2/7)/i)**(-2/5)/(i**(-1/8)*i**(-4/9)) assuming i is positive.\n' | b'i**(-132269/2520)\n' | b'Simplify (i**(-2/7))**37*(((i/(i*i**0/i*i))/i*i)/i)**43*(i**(-2/7)/i)**(-2/5)/(i**(-1/8)*i**(-4/9)) assuming i is positive.\n' | b'i**(-132269/2520)\n' | deepmind/math_dataset |
b'Let v = -31 - -16. Let f(r) = -r**3 - 14*r**2 + 16*r + 11. Let m be f(v). Let c be 7 + -1 + (m - -2). Solve -36 = 4*s - 4*g, -c*s + 2*g = 1 + 25 for s.\n' | b'-4\n' | b'Let v = -31 - -16. Let f(r) = -r**3 - 14*r**2 + 16*r + 11. Let m be f(v). Let c be 7 + -1 + (m - -2). Solve -36 = 4*s - 4*g, -c*s + 2*g = 1 + 25 for s.\n' | b'-4\n' | deepmind/math_dataset |
b'Let p = -126 + 122. Let u(b) = -b - 5*b - b + 3*b**2 - 5 + b**3. Calculate u(p).\n' | b'7\n' | b'Let p = -126 + 122. Let u(b) = -b - 5*b - b + 3*b**2 - 5 + b**3. Calculate u(p).\n' | b'7\n' | deepmind/math_dataset |
b'Calculate prob of sequence bgds when four letters picked without replacement from {b: 1, s: 1, d: 1, g: 1, z: 3}.\n' | b'1/840\n' | b'Calculate prob of sequence bgds when four letters picked without replacement from {b: 1, s: 1, d: 1, g: 1, z: 3}.\n' | b'1/840\n' | deepmind/math_dataset |
b'Four letters picked without replacement from sqnnasannsnnsesssaq. What is prob of sequence nnqq?\n' | b'5/7752\n' | b'Four letters picked without replacement from sqnnasannsnnsesssaq. What is prob of sequence nnqq?\n' | b'5/7752\n' | deepmind/math_dataset |
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