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 (p**(-2/13)/(p/(p/(p**31/p))))/((p/(p/((p*p/(((p/(p*p**(-6)*p))/p)/p))/p))*p)/((((p**7*p)/p)/p)/p)) assuming p is positive.\n' | b'p**(-314/13)\n' | b'Simplify (p**(-2/13)/(p/(p/(p**31/p))))/((p/(p/((p*p/(((p/(p*p**(-6)*p))/p)/p))/p))*p)/((((p**7*p)/p)/p)/p)) assuming p is positive.\n' | b'p**(-314/13)\n' | deepmind/math_dataset |
b'What is prob of sequence xll when three letters picked without replacement from xxxlxlxxxl?\n' | b'7/120\n' | b'What is prob of sequence xll when three letters picked without replacement from xxxlxlxxxl?\n' | b'7/120\n' | deepmind/math_dataset |
b'Suppose -19*s + 17*s + 140 = 0. Suppose 32*p - 27*p - s = 0. Solve 2*c - 2*v - 6 = 0, -c + 4*v + p = c for c.\n' | b'-1\n' | b'Suppose -19*s + 17*s + 140 = 0. Suppose 32*p - 27*p - s = 0. Solve 2*c - 2*v - 6 = 0, -c + 4*v + p = c for c.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ahkpr. Give prob of sequence rhp.\n' | b'1/60\n' | b'Three letters picked without replacement from ahkpr. Give prob of sequence rhp.\n' | b'1/60\n' | deepmind/math_dataset |
b'Let k(a) = -a**4 + a**3 + 1. Let s(l) = 7*l**4 - 5*l**3 + 32*l - 5. Let d(t) = -10*k(t) - 2*s(t). Find the second derivative of d(i) wrt i.\n' | b'-48*i**2\n' | b'Let k(a) = -a**4 + a**3 + 1. Let s(l) = 7*l**4 - 5*l**3 + 32*l - 5. Let d(t) = -10*k(t) - 2*s(t). Find the second derivative of d(i) wrt i.\n' | b'-48*i**2\n' | deepmind/math_dataset |
b'Suppose -3*a + 10*a + 2*a = 0. Solve 0 = 3*l + p - 10, a = -3*l + p + 15 - 1 for l.\n' | b'4\n' | b'Suppose -3*a + 10*a + 2*a = 0. Solve 0 = 3*l + p - 10, a = -3*l + p + 15 - 1 for l.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (((m**(-4)/m)/m*m*m*m)/m)/((m*(m*m*m/m**(7/5))/m)/m)*((m/m**9)/m)**(-25) assuming m is positive.\n' | b'm**(1102/5)\n' | b'Simplify (((m**(-4)/m)/m*m*m*m)/m)/((m*(m*m*m/m**(7/5))/m)/m)*((m/m**9)/m)**(-25) assuming m is positive.\n' | b'm**(1102/5)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 j when three letters picked without replacement from jddddjjdjjjj.\n' | b'7/44\n' | b'Calculate prob of picking 3 j when three letters picked without replacement from jddddjjdjjjj.\n' | b'7/44\n' | deepmind/math_dataset |
b'Two letters picked without replacement from oncjg. Give prob of sequence no.\n' | b'1/20\n' | b'Two letters picked without replacement from oncjg. Give prob of sequence no.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let p(x) = x**3 + 7*x**2 + 3*x + 3. Let b be p(-6). Suppose b = 2*h - 5*h. Let q(t) = -t**2 + 22*t + 57*t + 8 - 63*t - 22*t. Determine q(h).\n' | b'1\n' | b'Let p(x) = x**3 + 7*x**2 + 3*x + 3. Let b be p(-6). Suppose b = 2*h - 5*h. Let q(t) = -t**2 + 22*t + 57*t + 8 - 63*t - 22*t. Determine q(h).\n' | b'1\n' | deepmind/math_dataset |
b'Let b be (-36)/8*(-8)/6. Find the third derivative of 59*w**b + 2 - 62*w**6 - 12*w**2 - 2 wrt w.\n' | b'-360*w**3\n' | b'Let b be (-36)/8*(-8)/6. Find the third derivative of 59*w**b + 2 - 62*w**6 - 12*w**2 - 2 wrt w.\n' | b'-360*w**3\n' | deepmind/math_dataset |
b'Let n(p) = p**3 + 7*p**2 - 9*p - 2. Suppose -1 = o + 7. Let x be n(o). Let i = 0 + x. Let s(v) = -v**2 + 8*v - 9. Determine s(i).\n' | b'3\n' | b'Let n(p) = p**3 + 7*p**2 - 9*p - 2. Suppose -1 = o + 7. Let x be n(o). Let i = 0 + x. Let s(v) = -v**2 + 8*v - 9. Determine s(i).\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence lww when three letters picked without replacement from jjclcclwclwwccwwcwc?\n' | b'5/323\n' | b'What is prob of sequence lww when three letters picked without replacement from jjclcclwclwwccwwcwc?\n' | b'5/323\n' | deepmind/math_dataset |
b'Simplify (i**(-3/10)/i)**(2/79)/(((i/((i**(2/65)/i)/i))/i)/(i*i*i/(i*i/i**(6/5)))) assuming i is positive.\n' | b'i**(1016/5135)\n' | b'Simplify (i**(-3/10)/i)**(2/79)/(((i/((i**(2/65)/i)/i))/i)/(i*i*i/(i*i/i**(6/5)))) assuming i is positive.\n' | b'i**(1016/5135)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 4, g: 2, c: 1, d: 1, z: 4, p: 2}. Give prob of picking 1 c, 1 p, and 1 d.\n' | b'1/182\n' | b'Three letters picked without replacement from {l: 4, g: 2, c: 1, d: 1, z: 4, p: 2}. Give prob of picking 1 c, 1 p, and 1 d.\n' | b'1/182\n' | deepmind/math_dataset |
b'Let h(y) = -1 + 3*y**2 - 6*y**2 + 2 + y**3 + 2875*y - 2880*y. Let a(r) = -7*r + 1. Let o(k) = -k. Let g(w) = a(w) - 6*o(w). Let c be g(-3). Calculate h(c).\n' | b'-3\n' | b'Let h(y) = -1 + 3*y**2 - 6*y**2 + 2 + y**3 + 2875*y - 2880*y. Let a(r) = -7*r + 1. Let o(k) = -k. Let g(w) = a(w) - 6*o(w). Let c be g(-3). Calculate h(c).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((w**(-3)/w)**(-1/22))**(23/5) assuming w is positive.\n' | b'w**(46/55)\n' | b'Simplify ((w**(-3)/w)**(-1/22))**(23/5) assuming w is positive.\n' | b'w**(46/55)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 3, o: 1, w: 1, i: 5, d: 2}. Give prob of picking 1 w and 2 i.\n' | b'1/22\n' | b'Three letters picked without replacement from {n: 3, o: 1, w: 1, i: 5, d: 2}. Give prob of picking 1 w and 2 i.\n' | b'1/22\n' | deepmind/math_dataset |
b'Find the first derivative of 12831 - 71474*b + 156860*b - 78074*b wrt b.\n' | b'7312\n' | b'Find the first derivative of 12831 - 71474*b + 156860*b - 78074*b wrt b.\n' | b'7312\n' | deepmind/math_dataset |
b'Simplify (t**4*t*t*t**(-2)*t*t*t)/(t**4*t**(-1)) assuming t is positive.\n' | b't**4\n' | b'Simplify (t**4*t*t*t**(-2)*t*t*t)/(t**4*t**(-1)) assuming t is positive.\n' | b't**4\n' | deepmind/math_dataset |
b'Let i(r) be the second derivative of 0 + 0*r**2 + 30*r + 0*r**4 - 7/20*r**5 + 9/2*r**3. Find the second derivative of i(a) wrt a.\n' | b'-42*a\n' | b'Let i(r) be the second derivative of 0 + 0*r**2 + 30*r + 0*r**4 - 7/20*r**5 + 9/2*r**3. Find the second derivative of i(a) wrt a.\n' | b'-42*a\n' | deepmind/math_dataset |
b'Suppose -484*h - 499 + 2435 = 0. Let n(y) = -4*y + 1. Let m be n(-1). Solve 0 = 5*l - 4*i - 3, -h*i = -l - 4 - m for l.\n' | b'3\n' | b'Suppose -484*h - 499 + 2435 = 0. Let n(y) = -4*y + 1. Let m be n(-1). Solve 0 = 5*l - 4*i - 3, -h*i = -l - 4 - m for l.\n' | b'3\n' | deepmind/math_dataset |
b'Let g be 246/10 - 4/(-10). Suppose -g = -2*c - 1. Solve 4*s - c = -q - 0*q, 2*q = -3*s + 9 for s.\n' | b'3\n' | b'Let g be 246/10 - 4/(-10). Suppose -g = -2*c - 1. Solve 4*s - c = -q - 0*q, 2*q = -3*s + 9 for s.\n' | b'3\n' | deepmind/math_dataset |
b'Let h(n) = 2700*n**4 - 6*n**3 + 8*n + 45. Let a(q) = 2702*q**4 - 5*q**3 + 7*q + 44. Let f(c) = -6*a(c) + 5*h(c). Find the second derivative of f(s) wrt s.\n' | b'-32544*s**2\n' | b'Let h(n) = 2700*n**4 - 6*n**3 + 8*n + 45. Let a(q) = 2702*q**4 - 5*q**3 + 7*q + 44. Let f(c) = -6*a(c) + 5*h(c). Find the second derivative of f(s) wrt s.\n' | b'-32544*s**2\n' | deepmind/math_dataset |
b'Simplify (((k*(k*k**(-3/10)/k*k)/k)/(k/(k/(k/k**1))))**44)**(-23) assuming k is positive.\n' | b'k**(-3542/5)\n' | b'Simplify (((k*(k*k**(-3/10)/k*k)/k)/(k/(k/(k/k**1))))**44)**(-23) assuming k is positive.\n' | b'k**(-3542/5)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q and 2 h when three letters picked without replacement from {l: 1, q: 1, n: 3, m: 3, h: 2, o: 3}.\n' | b'1/286\n' | b'Calculate prob of picking 1 q and 2 h when three letters picked without replacement from {l: 1, q: 1, n: 3, m: 3, h: 2, o: 3}.\n' | b'1/286\n' | deepmind/math_dataset |
b'Let z(f) = f**3 - 5*f**2 + f - 4. Let a(q) = q**2 + 2*q - 3. Let r be a(-4). Calculate z(r).\n' | b'1\n' | b'Let z(f) = f**3 - 5*f**2 + f - 4. Let a(q) = q**2 + 2*q - 3. Let r be a(-4). Calculate z(r).\n' | b'1\n' | deepmind/math_dataset |
b'Let d(w) = 2*w**3 + w**2 + w - 3. Suppose 4*i - 16 = 4*b, i - 3*i = 2*b - 8. What is d(b)?\n' | b'-3\n' | b'Let d(w) = 2*w**3 + w**2 + w - 3. Suppose 4*i - 16 = 4*b, i - 3*i = 2*b - 8. What is d(b)?\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 2 y when two letters picked without replacement from gfyyfyfffrdrrgffghf?\n' | b'1/57\n' | b'What is prob of picking 2 y when two letters picked without replacement from gfyyfyfffrdrrgffghf?\n' | b'1/57\n' | deepmind/math_dataset |
b'What is the second derivative of 2*r - 33*r**4 + 110 + 2*r**2 - 6*r**2 + 4*r**2 - 28 wrt r?\n' | b'-396*r**2\n' | b'What is the second derivative of 2*r - 33*r**4 + 110 + 2*r**2 - 6*r**2 + 4*r**2 - 28 wrt r?\n' | b'-396*r**2\n' | deepmind/math_dataset |
b'Let b be (-4)/(-2) - (1 - 4). What is the third derivative of 0*d**2 + b*d**4 + 0*d**2 - 3*d**2 wrt d?\n' | b'120*d\n' | b'Let b be (-4)/(-2) - (1 - 4). What is the third derivative of 0*d**2 + b*d**4 + 0*d**2 - 3*d**2 wrt d?\n' | b'120*d\n' | deepmind/math_dataset |
b'Let z(w) = -w**3 - 5*w**2 - w - 4. Let t be (15 - -67)*-1*1/2. Let b = -46 - t. What is z(b)?\n' | b'1\n' | b'Let z(w) = -w**3 - 5*w**2 - w - 4. Let t be (15 - -67)*-1*1/2. Let b = -46 - t. What is z(b)?\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 1, v: 1, s: 17}. Give prob of sequence sh.\n' | b'17/342\n' | b'Two letters picked without replacement from {h: 1, v: 1, s: 17}. Give prob of sequence sh.\n' | b'17/342\n' | deepmind/math_dataset |
b'Let z = -16 - -11. Let i(p) = -p**3 - 6*p**2 - 7*p. Give i(z).\n' | b'10\n' | b'Let z = -16 - -11. Let i(p) = -p**3 - 6*p**2 - 7*p. Give i(z).\n' | b'10\n' | deepmind/math_dataset |
b'Let i = -1 + 1. Let v(p) = -4*p**2 - 7*p - 9. Let c(a) = -3*a**2 - 5*a - 9. Let b(t) = -3*c(t) + 2*v(t). Give b(i).\n' | b'9\n' | b'Let i = -1 + 1. Let v(p) = -4*p**2 - 7*p - 9. Let c(a) = -3*a**2 - 5*a - 9. Let b(t) = -3*c(t) + 2*v(t). Give b(i).\n' | b'9\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 1, c: 1, f: 7, q: 3, h: 1}. Give prob of picking 1 h and 1 c.\n' | b'1/78\n' | b'Two letters picked without replacement from {k: 1, c: 1, f: 7, q: 3, h: 1}. Give prob of picking 1 h and 1 c.\n' | b'1/78\n' | deepmind/math_dataset |
b'Simplify (((c**(-2/49)*c)/(c*c*c**(-1/13)))/(c/c**22*(c*c*c**12/c*c)/c))**(-20) assuming c is positive.\n' | b'c**(-89640/637)\n' | b'Simplify (((c**(-2/49)*c)/(c*c*c**(-1/13)))/(c/c**22*(c*c*c**12/c*c)/c))**(-20) assuming c is positive.\n' | b'c**(-89640/637)\n' | deepmind/math_dataset |
b'Let d(l) be the second derivative of l**5/10 + 245*l**4/12 + 311*l**3/2 + 3*l + 664. What is the second derivative of d(c) wrt c?\n' | b'12*c + 490\n' | b'Let d(l) be the second derivative of l**5/10 + 245*l**4/12 + 311*l**3/2 + 3*l + 664. What is the second derivative of d(c) wrt c?\n' | b'12*c + 490\n' | deepmind/math_dataset |
b'Calculate prob of sequence vvyj when four letters picked without replacement from {y: 2, v: 4, j: 4}.\n' | b'2/105\n' | b'Calculate prob of sequence vvyj when four letters picked without replacement from {y: 2, v: 4, j: 4}.\n' | b'2/105\n' | deepmind/math_dataset |
b'What is prob of sequence cc when two letters picked without replacement from axxcaaxacaxaxaaa?\n' | b'1/120\n' | b'What is prob of sequence cc when two letters picked without replacement from axxcaaxacaxaxaaa?\n' | b'1/120\n' | deepmind/math_dataset |
b'Let v(b) be the first derivative of -b**2/2 + 12*b - 14. Suppose 0*c - 2*c = 0. Calculate v(c).\n' | b'12\n' | b'Let v(b) be the first derivative of -b**2/2 + 12*b - 14. Suppose 0*c - 2*c = 0. Calculate v(c).\n' | b'12\n' | deepmind/math_dataset |
b'Let u(r) = -r**2 + 106*r + 681. Let m be u(-6). Solve 0 = -m*y + 4*y + 3*x - 18, 2*x = -2*y - 4 for y.\n' | b'-3\n' | b'Let u(r) = -r**2 + 106*r + 681. Let m be u(-6). Solve 0 = -m*y + 4*y + 3*x - 18, 2*x = -2*y - 4 for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Let m(v) = 14*v - 22. Suppose -73*o - 65*o + 226 = -25*o. Determine m(o).\n' | b'6\n' | b'Let m(v) = 14*v - 22. Suppose -73*o - 65*o + 226 = -25*o. Determine m(o).\n' | b'6\n' | deepmind/math_dataset |
b'Suppose -3*a = -p - 8*a + 8, -3*p - a + 24 = 0. Suppose -4*b - p = -16. Solve b*q = t - 1, t = -5*q + q + 1 for q.\n' | b'0\n' | b'Suppose -3*a = -p - 8*a + 8, -3*p - a + 24 = 0. Suppose -4*b - p = -16. Solve b*q = t - 1, t = -5*q + q + 1 for q.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (((((h/(h*h*h/(h/(h*(h/(h*h**(-1/4)*h))/h))*h*h))/h)/h*h)/h)/(h*h**(-3/2)*h*h)*h**(-3)/h**(-10))**(2/19) assuming h is positive.\n' | b'h**(5/38)\n' | b'Simplify (((((h/(h*h*h/(h/(h*(h/(h*h**(-1/4)*h))/h))*h*h))/h)/h*h)/h)/(h*h**(-3/2)*h*h)*h**(-3)/h**(-10))**(2/19) assuming h is positive.\n' | b'h**(5/38)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 9}. What is prob of sequence llll?\n' | b'1\n' | b'Four letters picked without replacement from {l: 9}. What is prob of sequence llll?\n' | b'1\n' | deepmind/math_dataset |
b'Let c = -6 - -8. Suppose 0*f + f - 9 = k, -30 = -5*f + c*k. Solve -5*a - 4*x = -10, -f*a - 2*x = -4*x + 18 for a.\n' | b'-2\n' | b'Let c = -6 - -8. Suppose 0*f + f - 9 = k, -30 = -5*f + c*k. Solve -5*a - 4*x = -10, -f*a - 2*x = -4*x + 18 for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Let p(q) = q**2 - q + 2. Let a = -46 + 47. Let k be p(a). Let x be (22/33)/(k + 48/(-27)). Solve -4*f = -4*n + 20, 5*n = x*f + 20 - 3 for n.\n' | b'1\n' | b'Let p(q) = q**2 - q + 2. Let a = -46 + 47. Let k be p(a). Let x be (22/33)/(k + 48/(-27)). Solve -4*f = -4*n + 20, 5*n = x*f + 20 - 3 for n.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify w**(-11)*w*w**(13/3)/w*w**(1/26)/(w**(4/7)*w*w) assuming w is positive.\n' | b'w**(-5023/546)\n' | b'Simplify w**(-11)*w*w**(13/3)/w*w**(1/26)/(w**(4/7)*w*w) assuming w is positive.\n' | b'w**(-5023/546)\n' | deepmind/math_dataset |
b'Find the second derivative of 2757 - 14*n**3 + 5*n**4 + 97*n - 2757 wrt n.\n' | b'60*n**2 - 84*n\n' | b'Find the second derivative of 2757 - 14*n**3 + 5*n**4 + 97*n - 2757 wrt n.\n' | b'60*n**2 - 84*n\n' | deepmind/math_dataset |
b'Let g(p) = -p - 2. Let j = -56 - -59. Let s be -1 + 3 - j - (-1 - -2). Give g(s).\n' | b'0\n' | b'Let g(p) = -p - 2. Let j = -56 - -59. Let s be -1 + 3 - j - (-1 - -2). Give g(s).\n' | b'0\n' | deepmind/math_dataset |
b'Let p(u) = -u**2 - 6*u. Let b be p(-6). Suppose 0*v + 5*v = 0. Find the third derivative of -2*w**2 + w**4 + b + v wrt w.\n' | b'24*w\n' | b'Let p(u) = -u**2 - 6*u. Let b be p(-6). Suppose 0*v + 5*v = 0. Find the third derivative of -2*w**2 + w**4 + b + v wrt w.\n' | b'24*w\n' | deepmind/math_dataset |
b'Suppose -y - 2*y = -6. Suppose -4 = -2*g + y. Solve 0 = 3*w - 4*v + 13 + g, -w + 2*v = 8 for w.\n' | b'0\n' | b'Suppose -y - 2*y = -6. Suppose -4 = -2*g + y. Solve 0 = 3*w - 4*v + 13 + g, -w + 2*v = 8 for w.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 2*r - 3*z = 49, z = -3*r + 4*r - 22. Solve 5*i - 7 = -2*d - r, -10 = -2*i + 2*d for i.\n' | b'0\n' | b'Suppose 2*r - 3*z = 49, z = -3*r + 4*r - 22. Solve 5*i - 7 = -2*d - r, -10 = -2*i + 2*d for i.\n' | b'0\n' | deepmind/math_dataset |
b'Let c(d) be the second derivative of -d**4/12 - 5*d**3/6 - 3*d**2/2 - 18*d + 554. Let y = 3 - 8. Let m be (-2)/y - 12/5. Give c(m).\n' | b'3\n' | b'Let c(d) be the second derivative of -d**4/12 - 5*d**3/6 - 3*d**2/2 - 18*d + 554. Let y = 3 - 8. Let m be (-2)/y - 12/5. Give c(m).\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 2, q: 3, n: 1, g: 10}. What is prob of sequence qnqg?\n' | b'1/728\n' | b'Four letters picked without replacement from {z: 2, q: 3, n: 1, g: 10}. What is prob of sequence qnqg?\n' | b'1/728\n' | deepmind/math_dataset |
b'Suppose -4*c = -5*v + 1 - 49, 0 = -4*c - v + 24. What is the derivative of 3*x**2 - 2 - 9*x**2 + 3 - c wrt x?\n' | b'-12*x\n' | b'Suppose -4*c = -5*v + 1 - 49, 0 = -4*c - v + 24. What is the derivative of 3*x**2 - 2 - 9*x**2 + 3 - c wrt x?\n' | b'-12*x\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jjqjqqjqqqjjqjqjjq. What is prob of sequence jj?\n' | b'4/17\n' | b'Two letters picked without replacement from jjqjqqjqqqjjqjqjjq. What is prob of sequence jj?\n' | b'4/17\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 1, z: 5, f: 4, j: 10}. What is prob of picking 1 f, 1 z, and 1 j?\n' | b'10/57\n' | b'Three letters picked without replacement from {m: 1, z: 5, f: 4, j: 10}. What is prob of picking 1 f, 1 z, and 1 j?\n' | b'10/57\n' | deepmind/math_dataset |
b'Simplify (v**(-3)/((v**(-2/13)*v)/v)*(v**(2/17)*v)**(-1/11))**(9/5) assuming v is positive.\n' | b'v**(-64494/12155)\n' | b'Simplify (v**(-3)/((v**(-2/13)*v)/v)*(v**(2/17)*v)**(-1/11))**(9/5) assuming v is positive.\n' | b'v**(-64494/12155)\n' | deepmind/math_dataset |
b'Let q = -4 + 10. Let p(w) be the second derivative of -w**5/60 + w**4/4 - w**3/3 - 7*w**2/2 + 21*w. Let b(j) be the first derivative of p(j). Determine b(q).\n' | b'-2\n' | b'Let q = -4 + 10. Let p(w) be the second derivative of -w**5/60 + w**4/4 - w**3/3 - 7*w**2/2 + 21*w. Let b(j) be the first derivative of p(j). Determine b(q).\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = -a - 3*a + 5*p + 185, 4*a + 4*p - 176 = 0. Let v be 5*(4/6 - (-6)/a). What is the third derivative of -2*y**2 - 9*y**4 - 9*y**4 - 3*y**v wrt y?\n' | b'-504*y\n' | b'Suppose 0 = -a - 3*a + 5*p + 185, 4*a + 4*p - 176 = 0. Let v be 5*(4/6 - (-6)/a). What is the third derivative of -2*y**2 - 9*y**4 - 9*y**4 - 3*y**v wrt y?\n' | b'-504*y\n' | deepmind/math_dataset |
b'Let u(y) be the second derivative of 1/2*y**2 - 1/2*y**3 + y + 0. Determine u(1).\n' | b'-2\n' | b'Let u(y) be the second derivative of 1/2*y**2 - 1/2*y**3 + y + 0. Determine u(1).\n' | b'-2\n' | deepmind/math_dataset |
b'Let r(s) = -5*s + 16. Let o(g) = -6*g + 2*g - 1 + 3*g + 5. Let c be 32/(-14) + (-4)/(-14). Let t(u) = c*r(u) + 9*o(u). Give t(-6).\n' | b'-2\n' | b'Let r(s) = -5*s + 16. Let o(g) = -6*g + 2*g - 1 + 3*g + 5. Let c be 32/(-14) + (-4)/(-14). Let t(u) = c*r(u) + 9*o(u). Give t(-6).\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence ss when two letters picked without replacement from ejsjsjee.\n' | b'1/28\n' | b'Calculate prob of sequence ss when two letters picked without replacement from ejsjsjee.\n' | b'1/28\n' | deepmind/math_dataset |
b'Let y be 11/5 - 1/5. Let r(s) = -3*s**2. Let g(o) = 2*o**2 - o. Let w(v) = v**2 - v. Let k(m) = g(m) - w(m). Let h(l) = y*k(l) + r(l). What is h(0)?\n' | b'0\n' | b'Let y be 11/5 - 1/5. Let r(s) = -3*s**2. Let g(o) = 2*o**2 - o. Let w(v) = v**2 - v. Let k(m) = g(m) - w(m). Let h(l) = y*k(l) + r(l). What is h(0)?\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 9*b - 5*b - 20 = 0. Solve -b*h + 8 = 3*y, 5*y = 4*h + 2*y - 28 for h.\n' | b'4\n' | b'Suppose 9*b - 5*b - 20 = 0. Solve -b*h + 8 = 3*y, 5*y = 4*h + 2*y - 28 for h.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 1, s: 12, g: 4, y: 2}. Give prob of picking 1 g and 1 s.\n' | b'16/57\n' | b'Two letters picked without replacement from {r: 1, s: 12, g: 4, y: 2}. Give prob of picking 1 g and 1 s.\n' | b'16/57\n' | deepmind/math_dataset |
b'Let q(x) be the second derivative of x**5/20 - x**3/6 - 3*x**2/2 - 1629*x. Determine q(0).\n' | b'-3\n' | b'Let q(x) be the second derivative of x**5/20 - x**3/6 - 3*x**2/2 - 1629*x. Determine q(0).\n' | b'-3\n' | deepmind/math_dataset |
b'Let x(p) be the second derivative of 49*p**6/15 - 65*p**2 + 23*p + 2. Differentiate x(a) with respect to a.\n' | b'392*a**3\n' | b'Let x(p) be the second derivative of 49*p**6/15 - 65*p**2 + 23*p + 2. Differentiate x(a) with respect to a.\n' | b'392*a**3\n' | deepmind/math_dataset |
b'Let j = 23 + -16. Suppose o = -o + 18. Let u = j - o. Let h(b) = -b**2 - 2*b. Calculate h(u).\n' | b'0\n' | b'Let j = 23 + -16. Suppose o = -o + 18. Let u = j - o. Let h(b) = -b**2 - 2*b. Calculate h(u).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (((x**(-5)/x)/(x/x**(-8)))/(x**(-2/7)/x)**16)**(-15) assuming x is positive.\n' | b'x**(-585/7)\n' | b'Simplify (((x**(-5)/x)/(x/x**(-8)))/(x**(-2/7)/x)**16)**(-15) assuming x is positive.\n' | b'x**(-585/7)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 1, q: 2, t: 1, r: 3}. Give prob of sequence qq.\n' | b'1/21\n' | b'Two letters picked without replacement from {p: 1, q: 2, t: 1, r: 3}. Give prob of sequence qq.\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (g**(-2/27)/(g/(g**29*g)))/(g**(-1/19)*g*g*g**(5/11)) assuming g is positive.\n' | b'g**(149675/5643)\n' | b'Simplify (g**(-2/27)/(g/(g**29*g)))/(g**(-1/19)*g*g*g**(5/11)) assuming g is positive.\n' | b'g**(149675/5643)\n' | deepmind/math_dataset |
b'What is prob of sequence dhp when three letters picked without replacement from {p: 1, t: 1, r: 2, h: 1, d: 2}?\n' | b'1/105\n' | b'What is prob of sequence dhp when three letters picked without replacement from {p: 1, t: 1, r: 2, h: 1, d: 2}?\n' | b'1/105\n' | deepmind/math_dataset |
b'Suppose 3*a - 11 = -k - k, 5*a - 17 = -3*k. Let r = -21 - 21. Let y = -37 - r. Solve k*p - 2*q - 26 = 0, y*p + 3*q - 19 = q for p.\n' | b'5\n' | b'Suppose 3*a - 11 = -k - k, 5*a - 17 = -3*k. Let r = -21 - 21. Let y = -37 - r. Solve k*p - 2*q - 26 = 0, y*p + 3*q - 19 = q for p.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((f*f*f*f/(f*f**2)*f)/f**(-12))/((f*f/(f/(f**0/f))*f)/f**(-1/10)) assuming f is positive.\n' | b'f**(129/10)\n' | b'Simplify ((f*f*f*f/(f*f**2)*f)/f**(-12))/((f*f/(f/(f**0/f))*f)/f**(-1/10)) assuming f is positive.\n' | b'f**(129/10)\n' | deepmind/math_dataset |
b'Let u(d) be the second derivative of -50*d**7/21 - 13*d**3/6 - 124*d. Find the second derivative of u(m) wrt m.\n' | b'-2000*m**3\n' | b'Let u(d) be the second derivative of -50*d**7/21 - 13*d**3/6 - 124*d. Find the second derivative of u(m) wrt m.\n' | b'-2000*m**3\n' | deepmind/math_dataset |
b'Let g = 9 - 9. Let q = 4 + g. Suppose f = 2*s - f - 14, 2*f - q = -4*s. Solve -8 = 3*c - 4*b, -c - s*c - 3*b + 6 = 0 for c.\n' | b'0\n' | b'Let g = 9 - 9. Let q = 4 + g. Suppose f = 2*s - f - 14, 2*f - q = -4*s. Solve -8 = 3*c - 4*b, -c - s*c - 3*b + 6 = 0 for c.\n' | b'0\n' | deepmind/math_dataset |
b'Let s(d) = -d**3 + 16*d**2 - 13*d - 2. Suppose c - 4*c = -42. Let m be s(c). Let v(y) = -m*y**2 - 3 + y**3 + 208*y**2. Determine v(0).\n' | b'-3\n' | b'Let s(d) = -d**3 + 16*d**2 - 13*d - 2. Suppose c - 4*c = -42. Let m be s(c). Let v(y) = -m*y**2 - 3 + y**3 + 208*y**2. Determine v(0).\n' | b'-3\n' | deepmind/math_dataset |
b'Let y(h) = -3*h + 20. Let b be y(6). Suppose -18 = -4*i + b*m, -4*i - 5*m + 6 = -3*m. Solve i*a - 22 = -2*c, 0 = 4*a - 2*a - 2*c + 2 for a.\n' | b'4\n' | b'Let y(h) = -3*h + 20. Let b be y(6). Suppose -18 = -4*i + b*m, -4*i - 5*m + 6 = -3*m. Solve i*a - 22 = -2*c, 0 = 4*a - 2*a - 2*c + 2 for a.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (((g**11/g)/g*g*g**(2/5))/(g**(-1/5)/((g/((g*g/g**(-3/2)*g)/g))/g*g*g*g)))**(-2/21) assuming g is positive.\n' | b'g**(-101/105)\n' | b'Simplify (((g**11/g)/g*g*g**(2/5))/(g**(-1/5)/((g/((g*g/g**(-3/2)*g)/g))/g*g*g*g)))**(-2/21) assuming g is positive.\n' | b'g**(-101/105)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lffofffffokltf. Give prob of sequence kf.\n' | b'4/91\n' | b'Two letters picked without replacement from lffofffffokltf. Give prob of sequence kf.\n' | b'4/91\n' | deepmind/math_dataset |
b'Let r = -8 - -9. Let f(v) = 0*v - 6*v + r + 3*v + 4*v. Let l be f(2). Solve -5*p + l*h - 4*h = -15, -3*p = -2*h - 9 for p.\n' | b'3\n' | b'Let r = -8 - -9. Let f(v) = 0*v - 6*v + r + 3*v + 4*v. Let l be f(2). Solve -5*p + l*h - 4*h = -15, -3*p = -2*h - 9 for p.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 0 = 13*i - 9 - 17. Find the third derivative of -209*o**2 + 68*o**5 + 158*o**i - 23*o**5 wrt o.\n' | b'2700*o**2\n' | b'Suppose 0 = 13*i - 9 - 17. Find the third derivative of -209*o**2 + 68*o**5 + 158*o**i - 23*o**5 wrt o.\n' | b'2700*o**2\n' | deepmind/math_dataset |
b'Suppose 0 = 4*p + 1 - 25. Let a be 3 - (0 - (-4 + p)). Solve 4*k = -3*q + 6, -a*k + 3*q - 4*q + 13 = 0 for k.\n' | b'3\n' | b'Suppose 0 = 4*p + 1 - 25. Let a be 3 - (0 - (-4 + p)). Solve 4*k = -3*q + 6, -a*k + 3*q - 4*q + 13 = 0 for k.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (((b*b**(1/4)/b)/((b*b/((b**(-5)/b)/b))/b))**(-3))**(-9) assuming b is positive.\n' | b'b**(-837/4)\n' | b'Simplify (((b*b**(1/4)/b)/((b*b/((b**(-5)/b)/b))/b))**(-3))**(-9) assuming b is positive.\n' | b'b**(-837/4)\n' | deepmind/math_dataset |
b'Let r be (-38)/(-12) + 5/(-30). Let s be -1 - -1 - 10*-5. Suppose -r*u + s = 8. Solve 2*i = 2*m + 12, -2*m + 4*m = 3*i - u for m.\n' | b'-4\n' | b'Let r be (-38)/(-12) + 5/(-30). Let s be -1 - -1 - 10*-5. Suppose -r*u + s = 8. Solve 2*i = 2*m + 12, -2*m + 4*m = 3*i - u for m.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 2 g when two letters picked without replacement from {m: 6, g: 10, i: 1, v: 1, t: 1}?\n' | b'5/19\n' | b'What is prob of picking 2 g when two letters picked without replacement from {m: 6, g: 10, i: 1, v: 1, t: 1}?\n' | b'5/19\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 1, x: 1, f: 3, y: 1, s: 4, k: 5}. What is prob of sequence hsy?\n' | b'2/1365\n' | b'Three letters picked without replacement from {h: 1, x: 1, f: 3, y: 1, s: 4, k: 5}. What is prob of sequence hsy?\n' | b'2/1365\n' | deepmind/math_dataset |
b'Suppose 2*k + 4*m + 11 + 5 = 0, -3*k - m = -1. Solve 0 = k*x - 3*p + 10, 0*x = -3*x - 3*p for x.\n' | b'-2\n' | b'Suppose 2*k + 4*m + 11 + 5 = 0, -3*k - m = -1. Solve 0 = k*x - 3*p + 10, 0*x = -3*x - 3*p for x.\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kzqqzqzqzkqqqzzkqz. What is prob of picking 2 z and 2 k?\n' | b'7/340\n' | b'Four letters picked without replacement from kzqqzqzqzkqqqzzkqz. What is prob of picking 2 z and 2 k?\n' | b'7/340\n' | deepmind/math_dataset |
b'Let d be 4 - (-3*(-8)/(-6) + 6). Solve i - 2*g - 11 = 0, -17 = d*i - i + 5*g for i.\n' | b'3\n' | b'Let d be 4 - (-3*(-8)/(-6) + 6). Solve i - 2*g - 11 = 0, -17 = d*i - i + 5*g for i.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence ll when two letters picked without replacement from {a: 2, l: 2, g: 2}?\n' | b'1/15\n' | b'What is prob of sequence ll when two letters picked without replacement from {a: 2, l: 2, g: 2}?\n' | b'1/15\n' | deepmind/math_dataset |
b'Simplify (p*p/p**(2/5)*p/p**(-22))/((p**(-32)*p)/((p/p**(-1/6))/p)) assuming p is positive.\n' | b'p**(1673/30)\n' | b'Simplify (p*p/p**(2/5)*p/p**(-22))/((p**(-32)*p)/((p/p**(-1/6))/p)) assuming p is positive.\n' | b'p**(1673/30)\n' | deepmind/math_dataset |
b'Let g = 47 + -55. Let z be (-39)/g - (-1)/8. Solve -3*a = -k - 1, -2*a + z = -3*k + 2 for a.\n' | b'0\n' | b'Let g = 47 + -55. Let z be (-39)/g - (-1)/8. Solve -3*a = -k - 1, -2*a + z = -3*k + 2 for a.\n' | b'0\n' | deepmind/math_dataset |
b'Let p(m) = -3*m + 2. Let i(v) = -13*v + 9. Let x(y) = -2*i(y) + 9*p(y). Suppose 0 = 4*a - 2*n - 50, 25 = -0*a + 3*a + n. Let t be 2/(-5)*a*1. Calculate x(t).\n' | b'4\n' | b'Let p(m) = -3*m + 2. Let i(v) = -13*v + 9. Let x(y) = -2*i(y) + 9*p(y). Suppose 0 = 4*a - 2*n - 50, 25 = -0*a + 3*a + n. Let t be 2/(-5)*a*1. Calculate x(t).\n' | b'4\n' | deepmind/math_dataset |
b'Let z(k) = -k**3 - 4*k**2 - k + 3. Let s be -2 + 0/2 - 0. Let n be 0 - (2*3)/s. Suppose -n*m - 8 = 1. Determine z(m).\n' | b'-3\n' | b'Let z(k) = -k**3 - 4*k**2 - k + 3. Let s be -2 + 0/2 - 0. Let n be 0 - (2*3)/s. Suppose -n*m - 8 = 1. Determine z(m).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((k**(-1/9)/(k**(-1/6)*k))/(k**(-4)/k*k**(-2)/k))**(-19/2) assuming k is positive.\n' | b'k**(-2413/36)\n' | b'Simplify ((k**(-1/9)/(k**(-1/6)*k))/(k**(-4)/k*k**(-2)/k))**(-19/2) assuming k is positive.\n' | b'k**(-2413/36)\n' | deepmind/math_dataset |
b'Let y be (-20)/(-3) + (-4)/(-12). Suppose 0 = -5*g + y*g. Suppose -3*w - 6 = g, -3*u + w + 12 - 1 = 0. Solve 3*z + 3 = -3*p, z + 4*z = u*p - 37 for z.\n' | b'-5\n' | b'Let y be (-20)/(-3) + (-4)/(-12). Suppose 0 = -5*g + y*g. Suppose -3*w - 6 = g, -3*u + w + 12 - 1 = 0. Solve 3*z + 3 = -3*p, z + 4*z = u*p - 37 for z.\n' | b'-5\n' | deepmind/math_dataset |
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