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'Let r be 16/4 + -8 + 8. Suppose -r*q = -12 - 8. Solve 4*p - q*i = 16, 4*p + 4 = -2*i - 8 for p.\n' | b'-1\n' | b'Let r be 16/4 + -8 + 8. Suppose -r*q = -12 - 8. Solve 4*p - q*i = 16, 4*p + 4 = -2*i - 8 for p.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 1 z when two letters picked without replacement from {u: 5, z: 5}.\n' | b'5/9\n' | b'Calculate prob of picking 1 u and 1 z when two letters picked without replacement from {u: 5, z: 5}.\n' | b'5/9\n' | deepmind/math_dataset |
b'Calculate prob of sequence yy when two letters picked without replacement from {y: 3, i: 13}.\n' | b'1/40\n' | b'Calculate prob of sequence yy when two letters picked without replacement from {y: 3, i: 13}.\n' | b'1/40\n' | deepmind/math_dataset |
b'Suppose -5*d + 5*r - 13 = 2, 0 = 4*d - r - 3. Let u(y) = -32*y + 59. Let z be u(d). Let w(g) = g**2 + g + 4. What is w(z)?\n' | b'24\n' | b'Suppose -5*d + 5*r - 13 = 2, 0 = 4*d - r - 3. Let u(y) = -32*y + 59. Let z be u(d). Let w(g) = g**2 + g + 4. What is w(z)?\n' | b'24\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 2, n: 4, z: 1, j: 1, a: 1}. What is prob of sequence jnn?\n' | b'1/42\n' | b'Three letters picked without replacement from {r: 2, n: 4, z: 1, j: 1, a: 1}. What is prob of sequence jnn?\n' | b'1/42\n' | deepmind/math_dataset |
b'What is prob of sequence mee when three letters picked without replacement from {m: 4, e: 2, a: 2}?\n' | b'1/42\n' | b'What is prob of sequence mee when three letters picked without replacement from {m: 4, e: 2, a: 2}?\n' | b'1/42\n' | deepmind/math_dataset |
b'Let w be 14/(-35) - 24/(-10). Suppose h - w*h + 6 = 0. Let m be h/((-10)/(-4) + -1). Solve -m*i = i - c - 23, -5*i - 4*c + 33 = 0 for i.\n' | b'5\n' | b'Let w be 14/(-35) - 24/(-10). Suppose h - w*h + 6 = 0. Let m be h/((-10)/(-4) + -1). Solve -m*i = i - c - 23, -5*i - 4*c + 33 = 0 for i.\n' | b'5\n' | deepmind/math_dataset |
b'Let l(d) be the first derivative of 29*d**5/5 - 103*d**4/4 + 2293*d**3 + 4626. What is the third derivative of l(b) wrt b?\n' | b'696*b - 618\n' | b'Let l(d) be the first derivative of 29*d**5/5 - 103*d**4/4 + 2293*d**3 + 4626. What is the third derivative of l(b) wrt b?\n' | b'696*b - 618\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 i and 1 g when three letters picked without replacement from {g: 1, i: 11}.\n' | b'1/4\n' | b'Calculate prob of picking 2 i and 1 g when three letters picked without replacement from {g: 1, i: 11}.\n' | b'1/4\n' | deepmind/math_dataset |
b'What is prob of sequence susr when four letters picked without replacement from {d: 3, u: 4, f: 4, x: 1, r: 1, s: 4}?\n' | b'1/1190\n' | b'What is prob of sequence susr when four letters picked without replacement from {d: 3, u: 4, f: 4, x: 1, r: 1, s: 4}?\n' | b'1/1190\n' | deepmind/math_dataset |
b'Suppose 0 = 4*o - 5*o + 2*b + 2, 3*o - 5*b = 11. Solve 0 = -5*g + 2*a + o, 0 = 4*g - a + 2 - 11 for g.\n' | b'2\n' | b'Suppose 0 = 4*o - 5*o + 2*b + 2, 3*o - 5*b = 11. Solve 0 = -5*g + 2*a + o, 0 = 4*g - a + 2 - 11 for g.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 2*t - 3*t - 1 = -5*g, -4*t - 4*g + 68 = 0. Suppose t*b = 16*b. Suppose b = 3*o - 1 - 38. Solve -2*l - 3*y - o = -3*l, -5 = y for l.\n' | b'-2\n' | b'Suppose 2*t - 3*t - 1 = -5*g, -4*t - 4*g + 68 = 0. Suppose t*b = 16*b. Suppose b = 3*o - 1 - 38. Solve -2*l - 3*y - o = -3*l, -5 = y for l.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence ysxs when four letters picked without replacement from {y: 4, m: 1, u: 4, x: 8, b: 1, s: 2}?\n' | b'8/14535\n' | b'What is prob of sequence ysxs when four letters picked without replacement from {y: 4, m: 1, u: 4, x: 8, b: 1, s: 2}?\n' | b'8/14535\n' | deepmind/math_dataset |
b'Calculate prob of sequence jddw when four letters picked without replacement from {l: 4, w: 4, j: 5, d: 2, p: 2}.\n' | b'1/1428\n' | b'Calculate prob of sequence jddw when four letters picked without replacement from {l: 4, w: 4, j: 5, d: 2, p: 2}.\n' | b'1/1428\n' | deepmind/math_dataset |
b'Simplify ((m**(-26)*m)/((m**(-1/4)*m)/m))**(-4) assuming m is positive.\n' | b'm**99\n' | b'Simplify ((m**(-26)*m)/((m**(-1/4)*m)/m))**(-4) assuming m is positive.\n' | b'm**99\n' | deepmind/math_dataset |
b'Calculate prob of sequence kdj when three letters picked without replacement from {k: 1, j: 1, d: 5, a: 5}.\n' | b'1/264\n' | b'Calculate prob of sequence kdj when three letters picked without replacement from {k: 1, j: 1, d: 5, a: 5}.\n' | b'1/264\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 3, g: 5, k: 1}. Give prob of picking 1 k and 3 p.\n' | b'1/126\n' | b'Four letters picked without replacement from {p: 3, g: 5, k: 1}. Give prob of picking 1 k and 3 p.\n' | b'1/126\n' | deepmind/math_dataset |
b'Suppose -l - w + 5 = 0, 3*l + w = -4*w + 25. Let c(f) be the first derivative of l*f**2 - 5/3*f**3 + f + 2. What is c(-1)?\n' | b'-4\n' | b'Suppose -l - w + 5 = 0, 3*l + w = -4*w + 25. Let c(f) be the first derivative of l*f**2 - 5/3*f**3 + f + 2. What is c(-1)?\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -22 = -3*n + 5*f, -4*n + n + 10 = f. Let b be 4 + -3 - 5 - 6. Let i = b + 12. Solve 5*y - y + 3*s = 13, -i*y = n*s - 14 for y.\n' | b'1\n' | b'Suppose -22 = -3*n + 5*f, -4*n + n + 10 = f. Let b be 4 + -3 - 5 - 6. Let i = b + 12. Solve 5*y - y + 3*s = 13, -i*y = n*s - 14 for y.\n' | b'1\n' | deepmind/math_dataset |
b'Let t be (-16)/(-6)*(-36)/(-24). Suppose -t = -f - 0*f. What is the third derivative of -3*w**3 + f + 5*w**2 - 4 wrt w?\n' | b'-18\n' | b'Let t be (-16)/(-6)*(-36)/(-24). Suppose -t = -f - 0*f. What is the third derivative of -3*w**3 + f + 5*w**2 - 4 wrt w?\n' | b'-18\n' | deepmind/math_dataset |
b'Let t(o) = o**3 + 4*o**2 + 4*o + 3. Let g be 6/2 + (-1 - -2). Suppose -x = -5*l, 0 = -g*l + 3*l + x. Suppose 2*b + b + 9 = l. Give t(b).\n' | b'0\n' | b'Let t(o) = o**3 + 4*o**2 + 4*o + 3. Let g be 6/2 + (-1 - -2). Suppose -x = -5*l, 0 = -g*l + 3*l + x. Suppose 2*b + b + 9 = l. Give t(b).\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from igigig. What is prob of picking 3 g?\n' | b'1/20\n' | b'Three letters picked without replacement from igigig. What is prob of picking 3 g?\n' | b'1/20\n' | deepmind/math_dataset |
b'What is prob of sequence og when two letters picked without replacement from {v: 1, a: 1, f: 1, o: 2, z: 2, g: 1}?\n' | b'1/28\n' | b'What is prob of sequence og when two letters picked without replacement from {v: 1, a: 1, f: 1, o: 2, z: 2, g: 1}?\n' | b'1/28\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 3, l: 1, g: 3, h: 1, n: 2, b: 1}. Give prob of sequence gbr.\n' | b'1/110\n' | b'Three letters picked without replacement from {r: 3, l: 1, g: 3, h: 1, n: 2, b: 1}. Give prob of sequence gbr.\n' | b'1/110\n' | deepmind/math_dataset |
b'What is prob of picking 1 q, 2 x, and 1 h when four letters picked without replacement from {q: 5, x: 2, h: 2}?\n' | b'5/63\n' | b'What is prob of picking 1 q, 2 x, and 1 h when four letters picked without replacement from {q: 5, x: 2, h: 2}?\n' | b'5/63\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {g: 3, a: 9, u: 2, f: 2, c: 1}.\n' | b'9/68\n' | b'Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {g: 3, a: 9, u: 2, f: 2, c: 1}.\n' | b'9/68\n' | deepmind/math_dataset |
b'Simplify ((q**(1/4)/q*q)/q)**(1/5)*q**(-8)*q/((q**(1/3)/q)/q) assuming q is positive.\n' | b'q**(-329/60)\n' | b'Simplify ((q**(1/4)/q*q)/q)**(1/5)*q**(-8)*q/((q**(1/3)/q)/q) assuming q is positive.\n' | b'q**(-329/60)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 4, x: 1, t: 6}. Give prob of picking 1 t and 3 n.\n' | b'4/55\n' | b'Four letters picked without replacement from {n: 4, x: 1, t: 6}. Give prob of picking 1 t and 3 n.\n' | b'4/55\n' | deepmind/math_dataset |
b'Simplify (f**(-4/5)/f**(-1/4))/((f**3*f)/((f*f**(2/21)*f*f)/f)) assuming f is positive.\n' | b'f**(-1031/420)\n' | b'Simplify (f**(-4/5)/f**(-1/4))/((f**3*f)/((f*f**(2/21)*f*f)/f)) assuming f is positive.\n' | b'f**(-1031/420)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 1 q when two letters picked without replacement from lqk.\n' | b'1/3\n' | b'Calculate prob of picking 1 k and 1 q when two letters picked without replacement from lqk.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let z(u) = -u**3 + 3*u**2 + 4*u + 1. Let c = -140 - -143. What is z(c)?\n' | b'13\n' | b'Let z(u) = -u**3 + 3*u**2 + 4*u + 1. Let c = -140 - -143. What is z(c)?\n' | b'13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 1, u: 8, e: 1, d: 2, g: 1, x: 2}. What is prob of picking 1 e and 1 x?\n' | b'2/105\n' | b'Two letters picked without replacement from {h: 1, u: 8, e: 1, d: 2, g: 1, x: 2}. What is prob of picking 1 e and 1 x?\n' | b'2/105\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hsws. What is prob of picking 2 s and 1 h?\n' | b'1/4\n' | b'Three letters picked without replacement from hsws. What is prob of picking 2 s and 1 h?\n' | b'1/4\n' | deepmind/math_dataset |
b'Let m = 4 - -10. Suppose 0 = 2*y - 12 - m. Let w = 23 + -5. Solve -5*q = -2*t - w, -t - 4*t = 2*q - y for q.\n' | b'4\n' | b'Let m = 4 - -10. Suppose 0 = 2*y - 12 - m. Let w = 23 + -5. Solve -5*q = -2*t - w, -t - 4*t = 2*q - y for q.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 0 = -11*k - 258 + 1314. What is the third derivative of k*a**3 - 95*a**3 - a**2 - 28*a**4 - 14*a**2 wrt a?\n' | b'-672*a + 6\n' | b'Suppose 0 = -11*k - 258 + 1314. What is the third derivative of k*a**3 - 95*a**3 - a**2 - 28*a**4 - 14*a**2 wrt a?\n' | b'-672*a + 6\n' | deepmind/math_dataset |
b'Let s(j) = 2*j + 4. Let n = 511 - 506. Give s(n).\n' | b'14\n' | b'Let s(j) = 2*j + 4. Let n = 511 - 506. Give s(n).\n' | b'14\n' | deepmind/math_dataset |
b'Simplify ((i/i**(-8))/i*i*i/(i/i**1*i*i))/(i**(-4/3))**(-37) assuming i is positive.\n' | b'i**(-124/3)\n' | b'Simplify ((i/i**(-8))/i*i*i/(i/i**1*i*i))/(i**(-4/3))**(-37) assuming i is positive.\n' | b'i**(-124/3)\n' | deepmind/math_dataset |
b'Let h(d) = d**3 - 2*d**2 + 2*d - 4. Let i be h(2). Suppose i*m = -5*m. Suppose 0*s = s, a - 5*s = m. Solve c = 4*j - a + 14, 3*j = -3*c - 3 for c.\n' | b'2\n' | b'Let h(d) = d**3 - 2*d**2 + 2*d - 4. Let i be h(2). Suppose i*m = -5*m. Suppose 0*s = s, a - 5*s = m. Solve c = 4*j - a + 14, 3*j = -3*c - 3 for c.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 5*y = -b + 8, b + 4 = 2. Suppose -2 = y*a + 4*w, -4*a + 4*w = -16 - 4. Solve -2*t + 4 = 2*q - t, -a*t = -2*q - 4 for q.\n' | b'1\n' | b'Suppose 5*y = -b + 8, b + 4 = 2. Suppose -2 = y*a + 4*w, -4*a + 4*w = -16 - 4. Solve -2*t + 4 = 2*q - t, -a*t = -2*q - 4 for q.\n' | b'1\n' | deepmind/math_dataset |
b'Let t(f) be the second derivative of 1419*f**8/14 + 13*f**4/3 - f**3/3 - 9*f**2/2 - 2*f - 727. Find the third derivative of t(r) wrt r.\n' | b'681120*r**3\n' | b'Let t(f) be the second derivative of 1419*f**8/14 + 13*f**4/3 - f**3/3 - 9*f**2/2 - 2*f - 727. Find the third derivative of t(r) wrt r.\n' | b'681120*r**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence thb when three letters picked without replacement from {j: 1, h: 1, r: 2, u: 1, b: 2, t: 1}.\n' | b'1/168\n' | b'Calculate prob of sequence thb when three letters picked without replacement from {j: 1, h: 1, r: 2, u: 1, b: 2, t: 1}.\n' | b'1/168\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 4, y: 2, j: 1, p: 4}. What is prob of picking 1 h, 1 j, and 2 y?\n' | b'2/165\n' | b'Four letters picked without replacement from {h: 4, y: 2, j: 1, p: 4}. What is prob of picking 1 h, 1 j, and 2 y?\n' | b'2/165\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 1, m: 3, p: 1}. What is prob of sequence pl?\n' | b'1/20\n' | b'Two letters picked without replacement from {l: 1, m: 3, p: 1}. What is prob of sequence pl?\n' | b'1/20\n' | deepmind/math_dataset |
b'What is prob of sequence mxm when three letters picked without replacement from mmmeemex?\n' | b'1/28\n' | b'What is prob of sequence mxm when three letters picked without replacement from mmmeemex?\n' | b'1/28\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 1, d: 7}. Give prob of picking 3 d.\n' | b'5/8\n' | b'Three letters picked without replacement from {y: 1, d: 7}. Give prob of picking 3 d.\n' | b'5/8\n' | deepmind/math_dataset |
b'What is prob of sequence jtwv when four letters picked without replacement from {j: 5, t: 5, w: 3, p: 1, v: 1}?\n' | b'5/2184\n' | b'What is prob of sequence jtwv when four letters picked without replacement from {j: 5, t: 5, w: 3, p: 1, v: 1}?\n' | b'5/2184\n' | deepmind/math_dataset |
b'Simplify (w/(w*(w**(6/5)*w)/w))/w**0*(w**0/w*w)**(-38)*(w**3*w*w**(-1/9))/(((w/(w*w**0/w))/w)/w)**(-3) assuming w is positive.\n' | b'w**(-14/45)\n' | b'Simplify (w/(w*(w**(6/5)*w)/w))/w**0*(w**0/w*w)**(-38)*(w**3*w*w**(-1/9))/(((w/(w*w**0/w))/w)/w)**(-3) assuming w is positive.\n' | b'w**(-14/45)\n' | deepmind/math_dataset |
b'Let l(v) = -7*v**3 - v**2. Let i be l(-1). Suppose -12 = -3*u, 2*x + i + 20 = 4*u. Let j(r) be the third derivative of -r**4/24 - r**3/3 + r**2. What is j(x)?\n' | b'3\n' | b'Let l(v) = -7*v**3 - v**2. Let i be l(-1). Suppose -12 = -3*u, 2*x + i + 20 = 4*u. Let j(r) be the third derivative of -r**4/24 - r**3/3 + r**2. What is j(x)?\n' | b'3\n' | deepmind/math_dataset |
b'Let i be ((6*-132 - 4)/(-2))/(-2). Let k = 204 + i. Let b(m) = -m**3 + 4*m**2 + 2*m + 5. Calculate b(k).\n' | b'-10\n' | b'Let i be ((6*-132 - 4)/(-2))/(-2). Let k = 204 + i. Let b(m) = -m**3 + 4*m**2 + 2*m + 5. Calculate b(k).\n' | b'-10\n' | deepmind/math_dataset |
b'Calculate prob of sequence ee when two letters picked without replacement from {h: 4, e: 3, n: 6, j: 3, w: 2}.\n' | b'1/51\n' | b'Calculate prob of sequence ee when two letters picked without replacement from {h: 4, e: 3, n: 6, j: 3, w: 2}.\n' | b'1/51\n' | deepmind/math_dataset |
b'Suppose 18 - 72 = -9*g. Let u(k) = 4*k + 6. Determine u(g).\n' | b'30\n' | b'Suppose 18 - 72 = -9*g. Let u(k) = 4*k + 6. Determine u(g).\n' | b'30\n' | deepmind/math_dataset |
b'Simplify (c**(-4)/c*c/(c*c**(-2/23)*c))**(-1/23) assuming c is positive.\n' | b'c**(136/529)\n' | b'Simplify (c**(-4)/c*c/(c*c**(-2/23)*c))**(-1/23) assuming c is positive.\n' | b'c**(136/529)\n' | deepmind/math_dataset |
b'What is prob of sequence od when two letters picked without replacement from {g: 4, x: 1, o: 6, d: 2, n: 4}?\n' | b'3/68\n' | b'What is prob of sequence od when two letters picked without replacement from {g: 4, x: 1, o: 6, d: 2, n: 4}?\n' | b'3/68\n' | deepmind/math_dataset |
b'Let k = -32 - -22. Let w(h) = -h**3 - 10*h**2 + h + 2. Let x be w(k). Let a be (3 - x/(-4)) + 3. Solve 4*v - a*u - 16 = 0, -5*v + 6 + 2 = -u for v.\n' | b'1\n' | b'Let k = -32 - -22. Let w(h) = -h**3 - 10*h**2 + h + 2. Let x be w(k). Let a be (3 - x/(-4)) + 3. Solve 4*v - a*u - 16 = 0, -5*v + 6 + 2 = -u for v.\n' | b'1\n' | deepmind/math_dataset |
b'Let r be (31 - (-544)/(-17)) + 6/1. Solve 5*i = 3*n + 2*i - 21, r*n = -4*i - 1 for n.\n' | b'3\n' | b'Let r be (31 - (-544)/(-17)) + 6/1. Solve 5*i = 3*n + 2*i - 21, r*n = -4*i - 1 for n.\n' | b'3\n' | deepmind/math_dataset |
b'Let x(o) be the third derivative of -667*o**6/60 - 19*o**4/8 + o**3/2 + 1103*o**2. What is the second derivative of x(w) wrt w?\n' | b'-8004*w\n' | b'Let x(o) be the third derivative of -667*o**6/60 - 19*o**4/8 + o**3/2 + 1103*o**2. What is the second derivative of x(w) wrt w?\n' | b'-8004*w\n' | deepmind/math_dataset |
b'Simplify (a/(a/(a*a*a*a*a**(8/7)/a)))/a*a/(a**1/a)*(a**(-3)*a*a)**29 assuming a is positive.\n' | b'a**(-174/7)\n' | b'Simplify (a/(a/(a*a*a*a*a**(8/7)/a)))/a*a/(a**1/a)*(a**(-3)*a*a)**29 assuming a is positive.\n' | b'a**(-174/7)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ssssssssss. Give prob of picking 4 s.\n' | b'1\n' | b'Four letters picked without replacement from ssssssssss. Give prob of picking 4 s.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 0*j - j - 2*o + 8 = 0, 6 = -j + 5*o. Suppose 0 = m + j*h + 2 + 1, -2*m - 4*h = 2. Solve -m = p + 5*d - 12, -2*p + 2*d - 14 = 0 for p.\n' | b'-4\n' | b'Suppose 0*j - j - 2*o + 8 = 0, 6 = -j + 5*o. Suppose 0 = m + j*h + 2 + 1, -2*m - 4*h = 2. Solve -m = p + 5*d - 12, -2*p + 2*d - 14 = 0 for p.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((l**1*l*l)**(-7/13)*l**(-2/9)*l*l/((l*l**3*l)/l))/(((l*l**0)/l**(-3/7))/(l*l/(l**(-2/11)/l)*l**5/l)) assuming l is positive.\n' | b'l**(17258/9009)\n' | b'Simplify ((l**1*l*l)**(-7/13)*l**(-2/9)*l*l/((l*l**3*l)/l))/(((l*l**0)/l**(-3/7))/(l*l/(l**(-2/11)/l)*l**5/l)) assuming l is positive.\n' | b'l**(17258/9009)\n' | deepmind/math_dataset |
b'Simplify (((g/((g**(-1)/g*g)/g*g))/(g*g/((g/g**(1/3))/g)))/(g*g**0)**(-1/35))/(g*g**8*g*g*g/g**1*g)**(2/133) assuming g is positive.\n' | b'g**(-968/1995)\n' | b'Simplify (((g/((g**(-1)/g*g)/g*g))/(g*g/((g/g**(1/3))/g)))/(g*g**0)**(-1/35))/(g*g**8*g*g*g/g**1*g)**(2/133) assuming g is positive.\n' | b'g**(-968/1995)\n' | deepmind/math_dataset |
b'Let m(q) be the second derivative of q**4/12 + 2*q**3/3 + q**2/2 - 715*q. What is m(4)?\n' | b'33\n' | b'Let m(q) be the second derivative of q**4/12 + 2*q**3/3 + q**2/2 - 715*q. What is m(4)?\n' | b'33\n' | deepmind/math_dataset |
b'Calculate prob of sequence hjh when three letters picked without replacement from jjjjjjjhjhhjjj.\n' | b'11/364\n' | b'Calculate prob of sequence hjh when three letters picked without replacement from jjjjjjjhjhhjjj.\n' | b'11/364\n' | deepmind/math_dataset |
b'Simplify ((l/((((l/(l**(-5)*l*l))/l)/l*l)/l)*(l*(l**(-12)*l*l*l)/l)/l)**10)**(-28/9) assuming l is positive.\n' | b'l**(3080/9)\n' | b'Simplify ((l/((((l/(l**(-5)*l*l))/l)/l*l)/l)*(l*(l**(-12)*l*l*l)/l)/l)**10)**(-28/9) assuming l is positive.\n' | b'l**(3080/9)\n' | deepmind/math_dataset |
b'Simplify z**(-6)*z**(-6)/z*(z*z**(-1/3)*z)**(-14) assuming z is positive.\n' | b'z**(-109/3)\n' | b'Simplify z**(-6)*z**(-6)/z*(z*z**(-1/3)*z)**(-14) assuming z is positive.\n' | b'z**(-109/3)\n' | deepmind/math_dataset |
b'Simplify ((o**7*o)/o**12)**(7/4) assuming o is positive.\n' | b'o**(-7)\n' | b'Simplify ((o**7*o)/o**12)**(7/4) assuming o is positive.\n' | b'o**(-7)\n' | deepmind/math_dataset |
b'Suppose -4*y + 4*f - 6*f = -66, -f + 18 = y. Let u be 0*1/(-1 - 3). Suppose 3*a - b = 59, 4*a + b = -u*a + 88. Solve 3*h - a = q - 1, -y = -4*h - q for h.\n' | b'5\n' | b'Suppose -4*y + 4*f - 6*f = -66, -f + 18 = y. Let u be 0*1/(-1 - 3). Suppose 3*a - b = 59, 4*a + b = -u*a + 88. Solve 3*h - a = q - 1, -y = -4*h - q for h.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence fb when two letters picked without replacement from bbwffffgf?\n' | b'5/36\n' | b'What is prob of sequence fb when two letters picked without replacement from bbwffffgf?\n' | b'5/36\n' | deepmind/math_dataset |
b'Let g = -64 + 70. Solve -f + 2*j - 4 = g*j, 3*f + 3*j - 6 = 0 for f.\n' | b'4\n' | b'Let g = -64 + 70. Solve -f + 2*j - 4 = g*j, 3*f + 3*j - 6 = 0 for f.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((c**2/c**(2/7)*(c*c/(c**(-3)/c))/c*c*c/c**(-2))**(1/14))**(-2/33) assuming c is positive.\n' | b'c**(-25/539)\n' | b'Simplify ((c**2/c**(2/7)*(c*c/(c**(-3)/c))/c*c*c/c**(-2))**(1/14))**(-2/33) assuming c is positive.\n' | b'c**(-25/539)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 1, m: 1, g: 2, c: 1}. What is prob of picking 1 m and 1 g?\n' | b'1/5\n' | b'Two letters picked without replacement from {e: 1, m: 1, g: 2, c: 1}. What is prob of picking 1 m and 1 g?\n' | b'1/5\n' | deepmind/math_dataset |
b'What is prob of picking 2 o when two letters picked without replacement from {o: 4, r: 2, y: 1, m: 7}?\n' | b'6/91\n' | b'What is prob of picking 2 o when two letters picked without replacement from {o: 4, r: 2, y: 1, m: 7}?\n' | b'6/91\n' | deepmind/math_dataset |
b'Let v = 14 - 11. Let h(n) = -4*n**2 + 3 - n + n**v + 3*n - 6 + 0. Suppose 0 = b - 4. Give h(b).\n' | b'5\n' | b'Let v = 14 - 11. Let h(n) = -4*n**2 + 3 - n + n**v + 3*n - 6 + 0. Suppose 0 = b - 4. Give h(b).\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence le when two letters picked without replacement from xeejluuzz?\n' | b'1/36\n' | b'What is prob of sequence le when two letters picked without replacement from xeejluuzz?\n' | b'1/36\n' | deepmind/math_dataset |
b'Simplify ((i*i**(-2/3)*i*i**(4/5)*i)/(i**6*i*i*i**(-5)))/((i**(-1))**(-2/3)/(i**(-6)/((i/(i**(4/7)*i))/i))) assuming i is positive.\n' | b'i**(-521/105)\n' | b'Simplify ((i*i**(-2/3)*i*i**(4/5)*i)/(i**6*i*i*i**(-5)))/((i**(-1))**(-2/3)/(i**(-6)/((i/(i**(4/7)*i))/i))) assuming i is positive.\n' | b'i**(-521/105)\n' | deepmind/math_dataset |
b'Suppose -1710 = 9*u + u. Let p be ((-2)/(-5))/((u/(-1755))/(-19)). Let t = p - -80. Solve -t*i - 3*l + 9 = 20, -4*i - 3*l - 13 = 0 for i.\n' | b'-1\n' | b'Suppose -1710 = 9*u + u. Let p be ((-2)/(-5))/((u/(-1755))/(-19)). Let t = p - -80. Solve -t*i - 3*l + 9 = 20, -4*i - 3*l - 13 = 0 for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {c: 6, h: 1, p: 8}. What is prob of picking 1 c and 2 p?\n' | b'24/65\n' | b'Three letters picked without replacement from {c: 6, h: 1, p: 8}. What is prob of picking 1 c and 2 p?\n' | b'24/65\n' | deepmind/math_dataset |
b'Let g(d) be the third derivative of 17*d**7/10 + 439*d**4/24 - 16*d**2 - 6*d. Find the second derivative of g(a) wrt a.\n' | b'4284*a**2\n' | b'Let g(d) be the third derivative of 17*d**7/10 + 439*d**4/24 - 16*d**2 - 6*d. Find the second derivative of g(a) wrt a.\n' | b'4284*a**2\n' | deepmind/math_dataset |
b'Suppose -6 = 3*c, -6*c - 2 = 4*f - c. Suppose -56*u - 227 = -899. Suppose 0 = u*z - 13*z + 20. Solve f*v = -3*v + 5*h - 20, 5*v + z = -5*h for v.\n' | b'-4\n' | b'Suppose -6 = 3*c, -6*c - 2 = 4*f - c. Suppose -56*u - 227 = -899. Suppose 0 = u*z - 13*z + 20. Solve f*v = -3*v + 5*h - 20, 5*v + z = -5*h for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (i**0/i)**42*i*i**10/i*(i/(i*i**(1/2)))/i assuming i is positive.\n' | b'i**(-67/2)\n' | b'Simplify (i**0/i)**42*i*i**10/i*(i/(i*i**(1/2)))/i assuming i is positive.\n' | b'i**(-67/2)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hhbymyh. What is prob of sequence yh?\n' | b'1/7\n' | b'Two letters picked without replacement from hhbymyh. What is prob of sequence yh?\n' | b'1/7\n' | deepmind/math_dataset |
b'Let p(g) be the first derivative of g**7/35 + 4*g**5/15 - 7*g**2 + 9. Let r(i) be the second derivative of p(i). What is the third derivative of r(v) wrt v?\n' | b'144*v\n' | b'Let p(g) be the first derivative of g**7/35 + 4*g**5/15 - 7*g**2 + 9. Let r(i) be the second derivative of p(i). What is the third derivative of r(v) wrt v?\n' | b'144*v\n' | deepmind/math_dataset |
b'Four letters picked without replacement from arrarrrraaacrrrar. What is prob of sequence acra?\n' | b'5/952\n' | b'Four letters picked without replacement from arrarrrraaacrrrar. What is prob of sequence acra?\n' | b'5/952\n' | deepmind/math_dataset |
b'Simplify ((r/(r**(-2/3)*r))/r)**(1/82)/((((r*r**2/r*r)/r)/r)/(r*r**(1/7))) assuming r is positive.\n' | b'r**(239/1722)\n' | b'Simplify ((r/(r**(-2/3)*r))/r)**(1/82)/((((r*r**2/r*r)/r)/r)/(r*r**(1/7))) assuming r is positive.\n' | b'r**(239/1722)\n' | deepmind/math_dataset |
b'What is prob of picking 2 j when two letters picked without replacement from jjjlljlljl?\n' | b'2/9\n' | b'What is prob of picking 2 j when two letters picked without replacement from jjjlljlljl?\n' | b'2/9\n' | deepmind/math_dataset |
b'What is prob of sequence kgk when three letters picked without replacement from {z: 2, k: 4, g: 2}?\n' | b'1/14\n' | b'What is prob of sequence kgk when three letters picked without replacement from {z: 2, k: 4, g: 2}?\n' | b'1/14\n' | deepmind/math_dataset |
b'Let o be ((-15)/6)/(5/(-4)). Solve -o*h - 3*n - 11 + 4 = 0, -3*n - 6 = 3*h for h.\n' | b'1\n' | b'Let o be ((-15)/6)/(5/(-4)). Solve -o*h - 3*n - 11 + 4 = 0, -3*n - 6 = 3*h for h.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 27*o + 19 = 38*o - 3. Let k(p) = 9*p - 12. Calculate k(o).\n' | b'6\n' | b'Suppose 27*o + 19 = 38*o - 3. Let k(p) = 9*p - 12. Calculate k(o).\n' | b'6\n' | deepmind/math_dataset |
b'Find the third derivative of 5*p**6 + 2*p**2 + 5*p**2 + 0*p**2 - 4*p**2 wrt p.\n' | b'600*p**3\n' | b'Find the third derivative of 5*p**6 + 2*p**2 + 5*p**2 + 0*p**2 - 4*p**2 wrt p.\n' | b'600*p**3\n' | deepmind/math_dataset |
b'Let r(o) = -o**2 + 23*o + 41. Suppose -45*v = -233*v + 952 + 3560. Give r(v).\n' | b'17\n' | b'Let r(o) = -o**2 + 23*o + 41. Suppose -45*v = -233*v + 952 + 3560. Give r(v).\n' | b'17\n' | deepmind/math_dataset |
b'What is prob of picking 3 k when three letters picked without replacement from skskkkksss?\n' | b'1/12\n' | b'What is prob of picking 3 k when three letters picked without replacement from skskkkksss?\n' | b'1/12\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bxbxbbxxbx. Give prob of picking 2 x and 1 b.\n' | b'5/12\n' | b'Three letters picked without replacement from bxbxbbxxbx. Give prob of picking 2 x and 1 b.\n' | b'5/12\n' | deepmind/math_dataset |
b'Simplify (o**10/o**(3/8))/(o**(-3/7)/o**4) assuming o is positive.\n' | b'o**(787/56)\n' | b'Simplify (o**10/o**(3/8))/(o**(-3/7)/o**4) assuming o is positive.\n' | b'o**(787/56)\n' | deepmind/math_dataset |
b'What is prob of sequence tfqt when four letters picked without replacement from tqftq?\n' | b'1/30\n' | b'What is prob of sequence tfqt when four letters picked without replacement from tqftq?\n' | b'1/30\n' | deepmind/math_dataset |
b'Let h(t) = t**2 + t - 1. Let o(x) = 9*x**2 + 7*x - 5. Let n(g) = 6*h(g) - o(g). Let w(d) = -d**3 + d**2 + d + 1. Let k be w(2). Give n(k).\n' | b'-3\n' | b'Let h(t) = t**2 + t - 1. Let o(x) = 9*x**2 + 7*x - 5. Let n(g) = 6*h(g) - o(g). Let w(d) = -d**3 + d**2 + d + 1. Let k be w(2). Give n(k).\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 7, e: 1, p: 5, r: 2, m: 1, o: 1}. Give prob of picking 1 m, 1 y, and 2 r.\n' | b'1/340\n' | b'Four letters picked without replacement from {y: 7, e: 1, p: 5, r: 2, m: 1, o: 1}. Give prob of picking 1 m, 1 y, and 2 r.\n' | b'1/340\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 x when four letters picked without replacement from xnjnxnxnnx.\n' | b'1/210\n' | b'Calculate prob of picking 4 x when four letters picked without replacement from xnjnxnxnnx.\n' | b'1/210\n' | deepmind/math_dataset |
b'Suppose 3*o - 2*c = 86, 72 = -0*o + 2*o - 5*c. Suppose 2*u + 5*v = -0*u + 18, -5*u - 3*v = -o. Solve 7 = -b + 2*g, u*b - g + 4 + 3 = 0 for b.\n' | b'-1\n' | b'Suppose 3*o - 2*c = 86, 72 = -0*o + 2*o - 5*c. Suppose 2*u + 5*v = -0*u + 18, -5*u - 3*v = -o. Solve 7 = -b + 2*g, u*b - g + 4 + 3 = 0 for b.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 1, o: 2, n: 14}. What is prob of picking 1 e and 1 n?\n' | b'7/68\n' | b'Two letters picked without replacement from {e: 1, o: 2, n: 14}. What is prob of picking 1 e and 1 n?\n' | b'7/68\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 1, r: 5, m: 3, a: 1, w: 1}. What is prob of picking 1 a, 1 e, and 1 w?\n' | b'1/165\n' | b'Three letters picked without replacement from {e: 1, r: 5, m: 3, a: 1, w: 1}. What is prob of picking 1 a, 1 e, and 1 w?\n' | b'1/165\n' | deepmind/math_dataset |
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