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'Two letters picked without replacement from uuaqamausaaam. What is prob of sequence ua?\n' | b'3/26\n' | b'Two letters picked without replacement from uuaqamausaaam. What is prob of sequence ua?\n' | b'3/26\n' | deepmind/math_dataset |
b'Let l(p) = p**3 + p + 4. Suppose -5*f + 2*f - 2*f = 0. Give l(f).\n' | b'4\n' | b'Let l(p) = p**3 + p + 4. Suppose -5*f + 2*f - 2*f = 0. Give l(f).\n' | b'4\n' | deepmind/math_dataset |
b'Let v = -123 - -129. Solve -u = -3, -v*g + 2*u - 14 = -2*g for g.\n' | b'-2\n' | b'Let v = -123 - -129. Solve -u = -3, -v*g + 2*u - 14 = -2*g for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = -18*u + 5*u + 65. Solve l - 2*k = -5*k - 16, -k = u*l + 10 for l.\n' | b'-1\n' | b'Suppose 0 = -18*u + 5*u + 65. Solve l - 2*k = -5*k - 16, -k = u*l + 10 for l.\n' | b'-1\n' | deepmind/math_dataset |
b'Let p = 21 - -2. Find the first derivative of -40*z**3 - p*z**3 + 51*z**3 - 3 wrt z.\n' | b'-36*z**2\n' | b'Let p = 21 - -2. Find the first derivative of -40*z**3 - p*z**3 + 51*z**3 - 3 wrt z.\n' | b'-36*z**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a, 1 u, and 1 w when three letters picked without replacement from {w: 2, j: 1, a: 1, s: 1, f: 1, u: 1}.\n' | b'2/35\n' | b'Calculate prob of picking 1 a, 1 u, and 1 w when three letters picked without replacement from {w: 2, j: 1, a: 1, s: 1, f: 1, u: 1}.\n' | b'2/35\n' | deepmind/math_dataset |
b'Suppose -7*f = -9*f + 8. Suppose -f*k - 6*k = -k. Suppose k = -22*b - 9 + 53. Solve -3*v = 5*s + 18, b = -4*s + 3*v - 7 for s.\n' | b'-3\n' | b'Suppose -7*f = -9*f + 8. Suppose -f*k - 6*k = -k. Suppose k = -22*b - 9 + 53. Solve -3*v = 5*s + 18, b = -4*s + 3*v - 7 for s.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence rw when two letters picked without replacement from rwsrrjtjtrt.\n' | b'2/55\n' | b'Calculate prob of sequence rw when two letters picked without replacement from rwsrrjtjtrt.\n' | b'2/55\n' | deepmind/math_dataset |
b'Calculate prob of sequence rrr when three letters picked without replacement from yryyyrrryyyyyrrryyy.\n' | b'35/969\n' | b'Calculate prob of sequence rrr when three letters picked without replacement from yryyyrrryyyyyrrryyy.\n' | b'35/969\n' | deepmind/math_dataset |
b'Simplify t**(-10/7)*t**(2/39) assuming t is positive.\n' | b't**(-376/273)\n' | b'Simplify t**(-10/7)*t**(2/39) assuming t is positive.\n' | b't**(-376/273)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 2, k: 2, f: 1, n: 1, b: 1, a: 1}. Give prob of sequence sfb.\n' | b'1/168\n' | b'Three letters picked without replacement from {s: 2, k: 2, f: 1, n: 1, b: 1, a: 1}. Give prob of sequence sfb.\n' | b'1/168\n' | deepmind/math_dataset |
b'Simplify (z/z**(-16))/z**4 assuming z is positive.\n' | b'z**13\n' | b'Simplify (z/z**(-16))/z**4 assuming z is positive.\n' | b'z**13\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 1, d: 3, h: 3}. Give prob of picking 1 b and 3 h.\n' | b'1/35\n' | b'Four letters picked without replacement from {b: 1, d: 3, h: 3}. Give prob of picking 1 b and 3 h.\n' | b'1/35\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 1, w: 1, o: 1}. What is prob of sequence owj?\n' | b'1/6\n' | b'Three letters picked without replacement from {j: 1, w: 1, o: 1}. What is prob of sequence owj?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let p(c) be the second derivative of 3*c**4/4 - c**3/3 - c - 71. What is p(2)?\n' | b'32\n' | b'Let p(c) be the second derivative of 3*c**4/4 - c**3/3 - c - 71. What is p(2)?\n' | b'32\n' | deepmind/math_dataset |
b'Suppose -68*p + 128 = 9*p - 26. Let v(o) be the third derivative of -9*o**p + 1/6*o**3 - 1/60*o**5 + 0*o - 1/24*o**4 + 0. Determine v(-2).\n' | b'-1\n' | b'Suppose -68*p + 128 = 9*p - 26. Let v(o) be the third derivative of -9*o**p + 1/6*o**3 - 1/60*o**5 + 0*o - 1/24*o**4 + 0. Determine v(-2).\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 1 f, 1 y, 1 q, and 1 b when four letters picked without replacement from {q: 7, b: 2, f: 3, m: 2, y: 4}?\n' | b'14/255\n' | b'What is prob of picking 1 f, 1 y, 1 q, and 1 b when four letters picked without replacement from {q: 7, b: 2, f: 3, m: 2, y: 4}?\n' | b'14/255\n' | deepmind/math_dataset |
b'Let h(x) = 2*x + 1. Let o be h(1). Differentiate -i**o + 0 + 3 - 1 - 2*i**3 with respect to i.\n' | b'-9*i**2\n' | b'Let h(x) = 2*x + 1. Let o be h(1). Differentiate -i**o + 0 + 3 - 1 - 2*i**3 with respect to i.\n' | b'-9*i**2\n' | deepmind/math_dataset |
b'What is prob of sequence uua when three letters picked without replacement from uuuwnatataa?\n' | b'4/165\n' | b'What is prob of sequence uua when three letters picked without replacement from uuuwnatataa?\n' | b'4/165\n' | deepmind/math_dataset |
b'Suppose -4*l = -4*m, -4*l + 5 = -14*m + 11*m. Solve 0 = -5*y + z - m, -2*y + z - 2 = 3 for y.\n' | b'0\n' | b'Suppose -4*l = -4*m, -4*l + 5 = -14*m + 11*m. Solve 0 = -5*y + z - m, -2*y + z - 2 = 3 for y.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 3, n: 1, y: 1, k: 1, s: 1}. What is prob of sequence fny?\n' | b'1/70\n' | b'Three letters picked without replacement from {f: 3, n: 1, y: 1, k: 1, s: 1}. What is prob of sequence fny?\n' | b'1/70\n' | deepmind/math_dataset |
b'What is the third derivative of 4*m**6 + 386*m**5 + 361*m**5 - 829*m**5 - 6 - 32 - 17*m**2 - 23 - 2*m**4 wrt m?\n' | b'480*m**3 - 4920*m**2 - 48*m\n' | b'What is the third derivative of 4*m**6 + 386*m**5 + 361*m**5 - 829*m**5 - 6 - 32 - 17*m**2 - 23 - 2*m**4 wrt m?\n' | b'480*m**3 - 4920*m**2 - 48*m\n' | deepmind/math_dataset |
b'Suppose 0*r + 5 = d - 2*r, 0 = -3*d - 3*r + 6. Let n = -46 + 50. What is the derivative of 3 - 2 + d - 4*o**n - 2*o**4 wrt o?\n' | b'-24*o**3\n' | b'Suppose 0*r + 5 = d - 2*r, 0 = -3*d - 3*r + 6. Let n = -46 + 50. What is the derivative of 3 - 2 + d - 4*o**n - 2*o**4 wrt o?\n' | b'-24*o**3\n' | deepmind/math_dataset |
b'What is the third derivative of -7*o**6 + 18*o**2 + 32*o**6 + 10*o**2 wrt o?\n' | b'3000*o**3\n' | b'What is the third derivative of -7*o**6 + 18*o**2 + 32*o**6 + 10*o**2 wrt o?\n' | b'3000*o**3\n' | deepmind/math_dataset |
b'Let t be (-6)/(-10)*(-6 - -21). Suppose z - 15 = t. Let o be (1/2)/(2/z). Let b(k) = -k**3 + 5*k**2 + 6*k - 5. Give b(o).\n' | b'-5\n' | b'Let t be (-6)/(-10)*(-6 - -21). Suppose z - 15 = t. Let o be (1/2)/(2/z). Let b(k) = -k**3 + 5*k**2 + 6*k - 5. Give b(o).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (o**(2/7)/o**2*o/(o**4/o)*o**(1/2))/(o**6/o**2*(o*o**(2/15)*o)/(o**6*o)) assuming o is positive.\n' | b'o**(-493/210)\n' | b'Simplify (o**(2/7)/o**2*o/(o**4/o)*o**(1/2))/(o**6/o**2*(o*o**(2/15)*o)/(o**6*o)) assuming o is positive.\n' | b'o**(-493/210)\n' | deepmind/math_dataset |
b'Let m = -7 + 11. Suppose -4*p = -7*z + 2*z + 48, -24 = -z - 4*p. Let a be 76/z + (-3)/9 + 3. Solve -6 = 5*q + a, m*q = -3*l - 27 for l.\n' | b'-5\n' | b'Let m = -7 + 11. Suppose -4*p = -7*z + 2*z + 48, -24 = -z - 4*p. Let a be 76/z + (-3)/9 + 3. Solve -6 = 5*q + a, m*q = -3*l - 27 for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Let y = -8 - -13. Suppose 9*t = y*t + 132. Solve 0 = -5*q + 4*u + t, 3*q - 5 = -6*u + u for q.\n' | b'5\n' | b'Let y = -8 - -13. Suppose 9*t = y*t + 132. Solve 0 = -5*q + 4*u + t, 3*q - 5 = -6*u + u for q.\n' | b'5\n' | deepmind/math_dataset |
b'Let r(g) be the third derivative of -g**5/60 + g**4/12 + g**3/6 - 7*g**2. Determine r(4).\n' | b'-7\n' | b'Let r(g) be the third derivative of -g**5/60 + g**4/12 + g**3/6 - 7*g**2. Determine r(4).\n' | b'-7\n' | deepmind/math_dataset |
b'Suppose 0*b = b - d - 2, 2*b + 4*d + 26 = 0. Let y(s) = s + 7. Let u be y(b). Solve -o = 2*o + u*a + 23, 6 = -o - a for o.\n' | b'-1\n' | b'Suppose 0*b = b - d - 2, 2*b + 4*d + 26 = 0. Let y(s) = s + 7. Let u be y(b). Solve -o = 2*o + u*a + 23, 6 = -o - a for o.\n' | b'-1\n' | deepmind/math_dataset |
b'Let f(k) = -k - 1. Let o be f(-2). Let b be 24/14 - (-28)/98. Solve a + 4*i = -b*a - o, -2*a + 2*i = -4 for a.\n' | b'1\n' | b'Let f(k) = -k - 1. Let o be f(-2). Let b be 24/14 - (-28)/98. Solve a + 4*i = -b*a - o, -2*a + 2*i = -4 for a.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -c = -4*p - 22 + 66, 4*c = 16. Solve 0 = -0*j + 3*j + 2*l + p, l = -2*j - 8 for j.\n' | b'-4\n' | b'Suppose -c = -4*p - 22 + 66, 4*c = 16. Solve 0 = -0*j + 3*j + 2*l + p, l = -2*j - 8 for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l and 2 m when three letters picked without replacement from llmmlmjmdldmlmmdj.\n' | b'21/136\n' | b'Calculate prob of picking 1 l and 2 m when three letters picked without replacement from llmmlmjmdldmlmmdj.\n' | b'21/136\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 2, x: 3}. Give prob of picking 1 x and 2 s.\n' | b'3/10\n' | b'Three letters picked without replacement from {s: 2, x: 3}. Give prob of picking 1 x and 2 s.\n' | b'3/10\n' | deepmind/math_dataset |
b'What is the second derivative of 2667*q + 9*q**2 - 12*q**2 + 3*q**2 + 4222*q**3 - 1278*q**3 wrt q?\n' | b'17664*q\n' | b'What is the second derivative of 2667*q + 9*q**2 - 12*q**2 + 3*q**2 + 4222*q**3 - 1278*q**3 wrt q?\n' | b'17664*q\n' | deepmind/math_dataset |
b'Simplify ((y**1)**(2/135))**(-23) assuming y is positive.\n' | b'y**(-46/135)\n' | b'Simplify ((y**1)**(2/135))**(-23) assuming y is positive.\n' | b'y**(-46/135)\n' | deepmind/math_dataset |
b'What is the second derivative of -372*g**4 + 1756*g - 2896*g - 704*g**4 wrt g?\n' | b'-12912*g**2\n' | b'What is the second derivative of -372*g**4 + 1756*g - 2896*g - 704*g**4 wrt g?\n' | b'-12912*g**2\n' | deepmind/math_dataset |
b'What is the second derivative of -1347*r**5 + 1445*r**5 - 4 - 127*r + 4 wrt r?\n' | b'1960*r**3\n' | b'What is the second derivative of -1347*r**5 + 1445*r**5 - 4 - 127*r + 4 wrt r?\n' | b'1960*r**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 y when three letters picked without replacement from hyhmyhhyhyhhyhhyymy.\n' | b'56/969\n' | b'Calculate prob of picking 3 y when three letters picked without replacement from hyhmyhhyhyhhyhhyymy.\n' | b'56/969\n' | deepmind/math_dataset |
b'Let r(f) be the first derivative of -5/2*f**2 - 5*f - 1/3*f**3 - 38. Determine r(-5).\n' | b'-5\n' | b'Let r(f) be the first derivative of -5/2*f**2 - 5*f - 1/3*f**3 - 38. Determine r(-5).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -p - u - 1 = -3, 4*p = -3*u + 11. Solve r + 3*j = -6, -r - p*j - 12 = -4 for r.\n' | b'-3\n' | b'Suppose -p - u - 1 = -3, 4*p = -3*u + 11. Solve r + 3*j = -6, -r - p*j - 12 = -4 for r.\n' | b'-3\n' | deepmind/math_dataset |
b'Let z(u) = -u**3 - 4*u**2 - 3*u + 4. Let b be 160/(-50) - (-2)/10. Let p be z(b). What is the second derivative of 4*v + p*v - 9*v**3 + 4*v wrt v?\n' | b'-54*v\n' | b'Let z(u) = -u**3 - 4*u**2 - 3*u + 4. Let b be 160/(-50) - (-2)/10. Let p be z(b). What is the second derivative of 4*v + p*v - 9*v**3 + 4*v wrt v?\n' | b'-54*v\n' | deepmind/math_dataset |
b'What is prob of sequence uuuu when four letters picked without replacement from uuuuu?\n' | b'1\n' | b'What is prob of sequence uuuu when four letters picked without replacement from uuuuu?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (((z**(2/85)/z)/z)/(((z/((z*z/((z**(-15)/z)/z))/z)*z*z*z)/z)/z))**14 assuming z is positive.\n' | b'z**(16688/85)\n' | b'Simplify (((z**(2/85)/z)/z)/(((z/((z*z/((z**(-15)/z)/z))/z)*z*z*z)/z)/z))**14 assuming z is positive.\n' | b'z**(16688/85)\n' | deepmind/math_dataset |
b'Let i(y) = y**3 + 4*y**2 - y - 2. Let o be i(-4). Let p be (-21)/(-42) + (-1)/(o/(-17)). Suppose 30 = k + p*k. Solve g = 2*d - 1, -k*g + d + 2*d + 3 = 0 for g.\n' | b'3\n' | b'Let i(y) = y**3 + 4*y**2 - y - 2. Let o be i(-4). Let p be (-21)/(-42) + (-1)/(o/(-17)). Suppose 30 = k + p*k. Solve g = 2*d - 1, -k*g + d + 2*d + 3 = 0 for g.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence vm when two letters picked without replacement from lwvwvvlvmvlvlllvwlwv.\n' | b'2/95\n' | b'Calculate prob of sequence vm when two letters picked without replacement from lwvwvvlvmvlvlllvwlwv.\n' | b'2/95\n' | deepmind/math_dataset |
b'What is the second derivative of -107*x**2 + 46*x**4 - 114*x**2 - 2 + 221*x**2 + 12*x wrt x?\n' | b'552*x**2\n' | b'What is the second derivative of -107*x**2 + 46*x**4 - 114*x**2 - 2 + 221*x**2 + 12*x wrt x?\n' | b'552*x**2\n' | deepmind/math_dataset |
b'Let h(l) = -2*l**3 - 6*l**2 + 138*l. Let v be h(-10). Suppose 4*o - 5*o = -3. Solve -4*w + q = 4 - v, o*q = 5*w - 20 for w.\n' | b'4\n' | b'Let h(l) = -2*l**3 - 6*l**2 + 138*l. Let v be h(-10). Suppose 4*o - 5*o = -3. Solve -4*w + q = 4 - v, o*q = 5*w - 20 for w.\n' | b'4\n' | deepmind/math_dataset |
b'Let a(i) = -2*i**3 - 91*i**2 + 6*i + 58. Let t(p) = -2*p**2 + p - 2. Let r(s) = -a(s) + 4*t(s). Find the second derivative of r(y) wrt y.\n' | b'12*y + 166\n' | b'Let a(i) = -2*i**3 - 91*i**2 + 6*i + 58. Let t(p) = -2*p**2 + p - 2. Let r(s) = -a(s) + 4*t(s). Find the second derivative of r(y) wrt y.\n' | b'12*y + 166\n' | deepmind/math_dataset |
b'Let n(y) be the second derivative of -22*y**6/5 - 277*y**3/3 - y**2/2 - 23*y + 1. Find the second derivative of n(f) wrt f.\n' | b'-1584*f**2\n' | b'Let n(y) be the second derivative of -22*y**6/5 - 277*y**3/3 - y**2/2 - 23*y + 1. Find the second derivative of n(f) wrt f.\n' | b'-1584*f**2\n' | deepmind/math_dataset |
b'Simplify (h**10)**(2/19)*h**30*h*(h*h/(h*h**(-21/5)/h*h))/h*h assuming h is positive.\n' | b'h**(3539/95)\n' | b'Simplify (h**10)**(2/19)*h**30*h*(h*h/(h*h**(-21/5)/h*h))/h*h assuming h is positive.\n' | b'h**(3539/95)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 1, x: 1, c: 1, p: 1, g: 6, u: 1}. Give prob of sequence ps.\n' | b'1/110\n' | b'Two letters picked without replacement from {s: 1, x: 1, c: 1, p: 1, g: 6, u: 1}. Give prob of sequence ps.\n' | b'1/110\n' | deepmind/math_dataset |
b'Let d(a) = -9 - 8 + 3*a + 3 - 5 - 7*a. What is d(-12)?\n' | b'29\n' | b'Let d(a) = -9 - 8 + 3*a + 3 - 5 - 7*a. What is d(-12)?\n' | b'29\n' | deepmind/math_dataset |
b'Calculate prob of sequence blbb when four letters picked without replacement from blbbll.\n' | b'1/20\n' | b'Calculate prob of sequence blbb when four letters picked without replacement from blbbll.\n' | b'1/20\n' | deepmind/math_dataset |
b'Simplify (g/(g*(g**0*g)/g*g))/g*g*g/(((g/(g*g**(3/2)))/g)/g)*(g**(1/4))**(-10) assuming g is positive.\n' | b'g\n' | b'Simplify (g/(g*(g**0*g)/g*g))/g*g*g/(((g/(g*g**(3/2)))/g)/g)*(g**(1/4))**(-10) assuming g is positive.\n' | b'g\n' | deepmind/math_dataset |
b'What is prob of picking 2 d and 1 y when three letters picked without replacement from {y: 3, d: 9}?\n' | b'27/55\n' | b'What is prob of picking 2 d and 1 y when three letters picked without replacement from {y: 3, d: 9}?\n' | b'27/55\n' | deepmind/math_dataset |
b'Simplify ((c**6/(c/(c*c**(1/4)/c)))/(c**0)**(3/8))**(15/8) assuming c is positive.\n' | b'c**(315/32)\n' | b'Simplify ((c**6/(c/(c*c**(1/4)/c)))/(c**0)**(3/8))**(15/8) assuming c is positive.\n' | b'c**(315/32)\n' | deepmind/math_dataset |
b'Simplify (n*(n/(n**(7/2)/n*n*n)*n)/n*n)**(-13) assuming n is positive.\n' | b'n**(39/2)\n' | b'Simplify (n*(n/(n**(7/2)/n*n*n)*n)/n*n)**(-13) assuming n is positive.\n' | b'n**(39/2)\n' | deepmind/math_dataset |
b'Suppose b = -3*b + 8. Suppose 4 = -b*p + 2. Let t(s) = 4*s. Let o(j) = -2*j. Let x(i) = 7*o(i) + 3*t(i). Calculate x(p).\n' | b'2\n' | b'Suppose b = -3*b + 8. Suppose 4 = -b*p + 2. Let t(s) = 4*s. Let o(j) = -2*j. Let x(i) = 7*o(i) + 3*t(i). Calculate x(p).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (m**(1/16)*m**11*(m/m**18*m*m)/(m*m/m**(-30)))**(-2/191) assuming m is positive.\n' | b'm**(575/1528)\n' | b'Simplify (m**(1/16)*m**11*(m/m**18*m*m)/(m*m/m**(-30)))**(-2/191) assuming m is positive.\n' | b'm**(575/1528)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y, 2 r, and 1 o when four letters picked without replacement from yeeorcrnooooneceo.\n' | b'3/1190\n' | b'Calculate prob of picking 1 y, 2 r, and 1 o when four letters picked without replacement from yeeorcrnooooneceo.\n' | b'3/1190\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bcjccjcjjcj. What is prob of picking 4 c?\n' | b'1/66\n' | b'Four letters picked without replacement from bcjccjcjjcj. What is prob of picking 4 c?\n' | b'1/66\n' | deepmind/math_dataset |
b'What is prob of sequence aga when three letters picked without replacement from adaaaagaaagaaadag?\n' | b'33/340\n' | b'What is prob of sequence aga when three letters picked without replacement from adaaaagaaagaaadag?\n' | b'33/340\n' | deepmind/math_dataset |
b'What is the third derivative of -3*y**5 + 4*y**5 - 2*y**2 - 5*y**5 - 5*y**2 wrt y?\n' | b'-240*y**2\n' | b'What is the third derivative of -3*y**5 + 4*y**5 - 2*y**2 - 5*y**5 - 5*y**2 wrt y?\n' | b'-240*y**2\n' | deepmind/math_dataset |
b'Let t(j) = 2*j**3 - 6*j + 5. Suppose -31*a = -52 - 10. Let h be t(a). Solve -11 = d - 5*i, d - 2*i - h = -7*i for d.\n' | b'-1\n' | b'Let t(j) = 2*j**3 - 6*j + 5. Suppose -31*a = -52 - 10. Let h be t(a). Solve -11 = d - 5*i, d - 2*i - h = -7*i for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((p**(-7/5)*p*p**(-2/3))/((p/p**(-2/11)*p)/p)**(-18))**(2/5) assuming p is positive.\n' | b'p**(6668/825)\n' | b'Simplify ((p**(-7/5)*p*p**(-2/3))/((p/p**(-2/11)*p)/p)**(-18))**(2/5) assuming p is positive.\n' | b'p**(6668/825)\n' | deepmind/math_dataset |
b'Simplify (w/(w**(-29)*w)*w/(w*w**(-2/11))*w*w)/(w**(19/4)/w*w**4) assuming w is positive.\n' | b'w**(1031/44)\n' | b'Simplify (w/(w**(-29)*w)*w/(w*w**(-2/11))*w*w)/(w**(19/4)/w*w**4) assuming w is positive.\n' | b'w**(1031/44)\n' | deepmind/math_dataset |
b'Simplify ((m*m**(-2/97))/(m/(m*m**(-2/17))))**(1/12) assuming m is positive.\n' | b'm**(1421/19788)\n' | b'Simplify ((m*m**(-2/97))/(m/(m*m**(-2/17))))**(1/12) assuming m is positive.\n' | b'm**(1421/19788)\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 1 h when two letters picked without replacement from {x: 3, z: 3, h: 2, s: 1, k: 1, y: 1}?\n' | b'2/55\n' | b'What is prob of picking 1 s and 1 h when two letters picked without replacement from {x: 3, z: 3, h: 2, s: 1, k: 1, y: 1}?\n' | b'2/55\n' | deepmind/math_dataset |
b'Simplify (n**5)**(12/7)/(n/n**(2/3))**(-48) assuming n is positive.\n' | b'n**(172/7)\n' | b'Simplify (n**5)**(12/7)/(n/n**(2/3))**(-48) assuming n is positive.\n' | b'n**(172/7)\n' | deepmind/math_dataset |
b'Suppose 3*x - 320 = 4*f, -3*x = -2*f - 361 + 39. Let q = 127 + -52. Let k = x - q. Solve 3 = 5*a - 5*v + k, -2*a + 12 = 4*v for a.\n' | b'-2\n' | b'Suppose 3*x - 320 = 4*f, -3*x = -2*f - 361 + 39. Let q = 127 + -52. Let k = x - q. Solve 3 = 5*a - 5*v + k, -2*a + 12 = 4*v for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify p*p*p**(3/2)*p*(p/(((p**(-18)/p*p)/p)/p))/p assuming p is positive.\n' | b'p**(49/2)\n' | b'Simplify p*p*p**(3/2)*p*(p/(((p**(-18)/p*p)/p)/p))/p assuming p is positive.\n' | b'p**(49/2)\n' | deepmind/math_dataset |
b'Suppose 11*b + 34 = 56. Solve -2*d = b*x, 0 = 3*x + 3*d - 8*d + 16 for x.\n' | b'-2\n' | b'Suppose 11*b + 34 = 56. Solve -2*d = b*x, 0 = 3*x + 3*d - 8*d + 16 for x.\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from alvswawk. Give prob of sequence alv.\n' | b'1/168\n' | b'Three letters picked without replacement from alvswawk. Give prob of sequence alv.\n' | b'1/168\n' | deepmind/math_dataset |
b'Two letters picked without replacement from sssassasosoalaals. What is prob of picking 1 o and 1 l?\n' | b'1/34\n' | b'Two letters picked without replacement from sssassasosoalaals. What is prob of picking 1 o and 1 l?\n' | b'1/34\n' | deepmind/math_dataset |
b'Simplify r**(-18)/(r/r**(6/11))*r/((r*(r*r**(2/3))/r)/r)*r*r**(-1/17) assuming r is positive.\n' | b'r**(-9638/561)\n' | b'Simplify r**(-18)/(r/r**(6/11))*r/((r*(r*r**(2/3))/r)/r)*r*r**(-1/17) assuming r is positive.\n' | b'r**(-9638/561)\n' | deepmind/math_dataset |
b'Let c(a) be the second derivative of 11*a**4 - a**3/6 - 9*a**2 + 4*a + 12. What is the second derivative of c(y) wrt y?\n' | b'264\n' | b'Let c(a) be the second derivative of 11*a**4 - a**3/6 - 9*a**2 + 4*a + 12. What is the second derivative of c(y) wrt y?\n' | b'264\n' | deepmind/math_dataset |
b'Simplify (l**(-13)/l)/(l/(l**(-8/9)/l)) assuming l is positive.\n' | b'l**(-152/9)\n' | b'Simplify (l**(-13)/l)/(l/(l**(-8/9)/l)) assuming l is positive.\n' | b'l**(-152/9)\n' | deepmind/math_dataset |
b'Suppose -4*d = -8 + 4. Solve 5*j + 6 - d = -4*a, -a - 4*j = -7 for a.\n' | b'-5\n' | b'Suppose -4*d = -8 + 4. Solve 5*j + 6 - d = -4*a, -a - 4*j = -7 for a.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence znr when three letters picked without replacement from {r: 1, x: 1, g: 1, n: 2, z: 2, s: 1}?\n' | b'1/84\n' | b'What is prob of sequence znr when three letters picked without replacement from {r: 1, x: 1, g: 1, n: 2, z: 2, s: 1}?\n' | b'1/84\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qyeueoq. Give prob of picking 2 e, 1 q, and 1 y.\n' | b'2/35\n' | b'Four letters picked without replacement from qyeueoq. Give prob of picking 2 e, 1 q, and 1 y.\n' | b'2/35\n' | deepmind/math_dataset |
b'Three letters picked without replacement from dmdmmm. What is prob of sequence mmd?\n' | b'1/5\n' | b'Three letters picked without replacement from dmdmmm. What is prob of sequence mmd?\n' | b'1/5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qyyiiqshyhyyhy. What is prob of sequence is?\n' | b'1/91\n' | b'Two letters picked without replacement from qyyiiqshyhyyhy. What is prob of sequence is?\n' | b'1/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 1, p: 4, f: 4, t: 3, x: 2, w: 1}. What is prob of sequence wp?\n' | b'2/105\n' | b'Two letters picked without replacement from {k: 1, p: 4, f: 4, t: 3, x: 2, w: 1}. What is prob of sequence wp?\n' | b'2/105\n' | deepmind/math_dataset |
b'Simplify (f**(-1/35)*f*f*f)/f*f*(f/((f*f*((f*(f*f**11)/f*f)/f)/f)/f))/f*(((f/(f**4*f))/f)/f)**(-5/8) assuming f is positive.\n' | b'f**(-739/140)\n' | b'Simplify (f**(-1/35)*f*f*f)/f*f*(f/((f*f*((f*(f*f**11)/f*f)/f)/f)/f))/f*(((f/(f**4*f))/f)/f)**(-5/8) assuming f is positive.\n' | b'f**(-739/140)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 u when two letters picked without replacement from {e: 5, r: 2, z: 1, u: 10, n: 2}.\n' | b'9/38\n' | b'Calculate prob of picking 2 u when two letters picked without replacement from {e: 5, r: 2, z: 1, u: 10, n: 2}.\n' | b'9/38\n' | deepmind/math_dataset |
b'Suppose 126*g - 5015 = 125*g. Let c(f) = 10 - 3*f - 5019*f**2 + g*f**2 + f**3 - f. What is c(4)?\n' | b'-6\n' | b'Suppose 126*g - 5015 = 125*g. Let c(f) = 10 - 3*f - 5019*f**2 + g*f**2 + f**3 - f. What is c(4)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let m(q) be the first derivative of q**9/252 - q**6/45 + 10*q**3/3 + 5. Let z(x) be the third derivative of m(x). Find the third derivative of z(s) wrt s.\n' | b'720*s**2\n' | b'Let m(q) be the first derivative of q**9/252 - q**6/45 + 10*q**3/3 + 5. Let z(x) be the third derivative of m(x). Find the third derivative of z(s) wrt s.\n' | b'720*s**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 2, n: 1, w: 8, i: 9}. What is prob of sequence iiwi?\n' | b'56/1615\n' | b'Four letters picked without replacement from {l: 2, n: 1, w: 8, i: 9}. What is prob of sequence iiwi?\n' | b'56/1615\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 7, q: 3, l: 3, s: 4, d: 1}. Give prob of sequence ee.\n' | b'7/51\n' | b'Two letters picked without replacement from {e: 7, q: 3, l: 3, s: 4, d: 1}. Give prob of sequence ee.\n' | b'7/51\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 1, p: 1, q: 1, i: 1, z: 1, h: 2}. Give prob of sequence hip.\n' | b'1/105\n' | b'Three letters picked without replacement from {l: 1, p: 1, q: 1, i: 1, z: 1, h: 2}. Give prob of sequence hip.\n' | b'1/105\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 2 p when three letters picked without replacement from {q: 1, a: 3, p: 2, f: 1}?\n' | b'3/35\n' | b'What is prob of picking 1 a and 2 p when three letters picked without replacement from {q: 1, a: 3, p: 2, f: 1}?\n' | b'3/35\n' | deepmind/math_dataset |
b'Simplify ((c/(c/c**(-2/9)))/c*c)**(-1)*c**4*c/(c*(c*c**6/c*c*c)/c) assuming c is positive.\n' | b'c**(-25/9)\n' | b'Simplify ((c/(c/c**(-2/9)))/c*c)**(-1)*c**4*c/(c*(c*c**6/c*c*c)/c) assuming c is positive.\n' | b'c**(-25/9)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 1, k: 11, s: 7}. What is prob of sequence jss?\n' | b'7/969\n' | b'Three letters picked without replacement from {j: 1, k: 11, s: 7}. What is prob of sequence jss?\n' | b'7/969\n' | deepmind/math_dataset |
b'What is prob of picking 2 j and 2 f when four letters picked without replacement from wqfqfoqjjooo?\n' | b'1/495\n' | b'What is prob of picking 2 j and 2 f when four letters picked without replacement from wqfqfoqjjooo?\n' | b'1/495\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 2 u when three letters picked without replacement from {u: 2, x: 1, j: 1, f: 5, e: 1, b: 6}?\n' | b'1/560\n' | b'What is prob of picking 1 e and 2 u when three letters picked without replacement from {u: 2, x: 1, j: 1, f: 5, e: 1, b: 6}?\n' | b'1/560\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 2, t: 2, e: 8}. What is prob of picking 2 t and 1 e?\n' | b'2/55\n' | b'Three letters picked without replacement from {u: 2, t: 2, e: 8}. What is prob of picking 2 t and 1 e?\n' | b'2/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nneeeeeneeee. Give prob of picking 2 e.\n' | b'6/11\n' | b'Two letters picked without replacement from nneeeeeneeee. Give prob of picking 2 e.\n' | b'6/11\n' | deepmind/math_dataset |
b'Let y = 11 - 8. Solve -32 = 4*k - y*b, -3*k + 3*b - 32 + 5 = 0 for k.\n' | b'-5\n' | b'Let y = 11 - 8. Solve -32 = 4*k - y*b, -3*k + 3*b - 32 + 5 = 0 for k.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((p/(p**(-2)*p))/p*p/p**3)**(2/95)*(p/(p/(p*p**1/p))*p)**(14/3)*p**1*p**(2/11)/p assuming p is positive.\n' | b'p**(29764/3135)\n' | b'Simplify ((p/(p**(-2)*p))/p*p/p**3)**(2/95)*(p/(p/(p*p**1/p))*p)**(14/3)*p**1*p**(2/11)/p assuming p is positive.\n' | b'p**(29764/3135)\n' | deepmind/math_dataset |
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