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 c(q) be the first derivative of 27*q**4/4 + 26*q**3/3 + 11. What is the third derivative of c(x) wrt x?\n' | b'162\n' | b'Let c(q) be the first derivative of 27*q**4/4 + 26*q**3/3 + 11. What is the third derivative of c(x) wrt x?\n' | b'162\n' | deepmind/math_dataset |
b'Suppose 3*j + 6 = -0*j. Let q(w) = w**3. Let a(r) be the third derivative of -r**3/6 + 4*r**2. Let t(f) = j*q(f) + 3*a(f). What is the derivative of t(i) wrt i?\n' | b'-6*i**2\n' | b'Suppose 3*j + 6 = -0*j. Let q(w) = w**3. Let a(r) be the third derivative of -r**3/6 + 4*r**2. Let t(f) = j*q(f) + 3*a(f). What is the derivative of t(i) wrt i?\n' | b'-6*i**2\n' | deepmind/math_dataset |
b'Simplify ((x**(-2))**45)**(-2/5) assuming x is positive.\n' | b'x**36\n' | b'Simplify ((x**(-2))**45)**(-2/5) assuming x is positive.\n' | b'x**36\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 4, l: 1, j: 5}. What is prob of picking 1 l and 1 j?\n' | b'1/9\n' | b'Two letters picked without replacement from {h: 4, l: 1, j: 5}. What is prob of picking 1 l and 1 j?\n' | b'1/9\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lllsc. Give prob of sequence lls.\n' | b'1/10\n' | b'Three letters picked without replacement from lllsc. Give prob of sequence lls.\n' | b'1/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 2, q: 2, r: 10}. Give prob of sequence nn.\n' | b'1/91\n' | b'Two letters picked without replacement from {n: 2, q: 2, r: 10}. Give prob of sequence nn.\n' | b'1/91\n' | deepmind/math_dataset |
b'Let v = -25 - -30. Suppose -p = v - 10. Let w(h) = 5*h - 26. What is w(p)?\n' | b'-1\n' | b'Let v = -25 - -30. Suppose -p = v - 10. Let w(h) = 5*h - 26. What is w(p)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let l(g) = 52*g**2 - 4*g - 7. Let y(j) = -78*j**2 + 6*j + 10. Let c(o) = -7*l(o) - 5*y(o). Determine c(-1).\n' | b'27\n' | b'Let l(g) = 52*g**2 - 4*g - 7. Let y(j) = -78*j**2 + 6*j + 10. Let c(o) = -7*l(o) - 5*y(o). Determine c(-1).\n' | b'27\n' | deepmind/math_dataset |
b'Let v(z) be the second derivative of z**4/6 + z**3 - 4*z**2 - 99*z. Let d(f) = -f**2 - 8*f + 7. Let i(a) = 3*d(a) + 2*v(a). Determine i(9).\n' | b'-22\n' | b'Let v(z) be the second derivative of z**4/6 + z**3 - 4*z**2 - 99*z. Let d(f) = -f**2 - 8*f + 7. Let i(a) = 3*d(a) + 2*v(a). Determine i(9).\n' | b'-22\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xojxxjjjxojxxoj. What is prob of sequence xoj?\n' | b'18/455\n' | b'Three letters picked without replacement from xojxxjjjxojxxoj. What is prob of sequence xoj?\n' | b'18/455\n' | deepmind/math_dataset |
b'What is prob of picking 3 a when three letters picked without replacement from aaaaa?\n' | b'1\n' | b'What is prob of picking 3 a when three letters picked without replacement from aaaaa?\n' | b'1\n' | deepmind/math_dataset |
b'Let v(m) = 4*m + 27. Let x(z) = -z - 6 + 0 - 3. Let a(n) = 3*v(n) + 8*x(n). What is the first derivative of a(l) wrt l?\n' | b'4\n' | b'Let v(m) = 4*m + 27. Let x(z) = -z - 6 + 0 - 3. Let a(n) = 3*v(n) + 8*x(n). What is the first derivative of a(l) wrt l?\n' | b'4\n' | deepmind/math_dataset |
b'Let s be (6/8)/(15/40). Find the first derivative of 65*z**2 - 101 + 51*z**s - 35*z**2 wrt z.\n' | b'162*z\n' | b'Let s be (6/8)/(15/40). Find the first derivative of 65*z**2 - 101 + 51*z**s - 35*z**2 wrt z.\n' | b'162*z\n' | deepmind/math_dataset |
b'Simplify (k**1/k)**(-19)*(k*k**(-2/5))/(k*k**(1/2)/k)*(k**(1/10)*k**(3/5)/k)/((k*k**(3/2))/k**2) assuming k is positive.\n' | b'k**(-7/10)\n' | b'Simplify (k**1/k)**(-19)*(k*k**(-2/5))/(k*k**(1/2)/k)*(k**(1/10)*k**(3/5)/k)/((k*k**(3/2))/k**2) assuming k is positive.\n' | b'k**(-7/10)\n' | deepmind/math_dataset |
b'Simplify (v**3*v**(-2/5)*v*v**(-2/11)/v*v**(-1))/((v/(v/v**2)*v*v**3/v*v*v)/((v**(-2/9)*v)/(v*(v**(-2/9)/v)/v))) assuming v is positive.\n' | b'v**(-197/55)\n' | b'Simplify (v**3*v**(-2/5)*v*v**(-2/11)/v*v**(-1))/((v/(v/v**2)*v*v**3/v*v*v)/((v**(-2/9)*v)/(v*(v**(-2/9)/v)/v))) assuming v is positive.\n' | b'v**(-197/55)\n' | deepmind/math_dataset |
b'Simplify (h**(-3/2)/h**31)/(h**(2/13))**(-1/45) assuming h is positive.\n' | b'h**(-38021/1170)\n' | b'Simplify (h**(-3/2)/h**31)/(h**(2/13))**(-1/45) assuming h is positive.\n' | b'h**(-38021/1170)\n' | deepmind/math_dataset |
b'Let b = -151 - -156. Solve b*x - 26 = 3*q - q, q + 3 = 0 for x.\n' | b'4\n' | b'Let b = -151 - -156. Solve b*x - 26 = 3*q - q, q + 3 = 0 for x.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 0 = -z - 4*z. Let i be 2 + (-4)/(-2) + z. Suppose 6*v = -p + 3*v - 8, 2*p + 8 = -i*v. Solve 32 = -5*o + p*c, 4*o - 4*c + 28 = -0*c for o.\n' | b'-4\n' | b'Suppose 0 = -z - 4*z. Let i be 2 + (-4)/(-2) + z. Suppose 6*v = -p + 3*v - 8, 2*p + 8 = -i*v. Solve 32 = -5*o + p*c, 4*o - 4*c + 28 = -0*c for o.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 3 e when four letters picked without replacement from eueeeuu?\n' | b'12/35\n' | b'What is prob of picking 1 u and 3 e when four letters picked without replacement from eueeeuu?\n' | b'12/35\n' | deepmind/math_dataset |
b'Simplify ((((l**(-1/7)/l)/l)/l**(-1/5))/(l/(l**(1/4)*l))**(-30))/((l*l**(-2/5)*l*(l*l**(-1/12)/l)/l)/(l**(1/2)*l*l/l**(3/7))) assuming l is positive.\n' | b'l**(-3313/420)\n' | b'Simplify ((((l**(-1/7)/l)/l)/l**(-1/5))/(l/(l**(1/4)*l))**(-30))/((l*l**(-2/5)*l*(l*l**(-1/12)/l)/l)/(l**(1/2)*l*l/l**(3/7))) assuming l is positive.\n' | b'l**(-3313/420)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 3, f: 4, m: 2, i: 6, s: 1, a: 3}. Give prob of sequence siq.\n' | b'1/323\n' | b'Three letters picked without replacement from {q: 3, f: 4, m: 2, i: 6, s: 1, a: 3}. Give prob of sequence siq.\n' | b'1/323\n' | deepmind/math_dataset |
b'Let w(k) = -k**3 + k**2 + k + 1. Let r(o) = 15*o**3 - 6*o**2 - 6*o - 16. Let g(h) = r(h) + 6*w(h). Find the first derivative of g(m) wrt m.\n' | b'27*m**2\n' | b'Let w(k) = -k**3 + k**2 + k + 1. Let r(o) = 15*o**3 - 6*o**2 - 6*o - 16. Let g(h) = r(h) + 6*w(h). Find the first derivative of g(m) wrt m.\n' | b'27*m**2\n' | deepmind/math_dataset |
b'Let h = 17 - 10. Let w(z) = z - 2. Let s be w(h). Differentiate 2*u**3 - s*u + 5*u - 2 wrt u.\n' | b'6*u**2\n' | b'Let h = 17 - 10. Let w(z) = z - 2. Let s be w(h). Differentiate 2*u**3 - s*u + 5*u - 2 wrt u.\n' | b'6*u**2\n' | deepmind/math_dataset |
b'Find the third derivative of 11*k**4 - 143*k**2 + 148*k**2 - 4*k**4 + 7*k**4 wrt k.\n' | b'336*k\n' | b'Find the third derivative of 11*k**4 - 143*k**2 + 148*k**2 - 4*k**4 + 7*k**4 wrt k.\n' | b'336*k\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 2, h: 1, r: 7, x: 6, d: 3}. Give prob of sequence hr.\n' | b'7/342\n' | b'Two letters picked without replacement from {n: 2, h: 1, r: 7, x: 6, d: 3}. Give prob of sequence hr.\n' | b'7/342\n' | deepmind/math_dataset |
b'What is prob of picking 1 j, 1 m, and 1 c when three letters picked without replacement from mkmkmjc?\n' | b'3/35\n' | b'What is prob of picking 1 j, 1 m, and 1 c when three letters picked without replacement from mkmkmjc?\n' | b'3/35\n' | deepmind/math_dataset |
b'Simplify (c**(-1/23)/c)**(-48) assuming c is positive.\n' | b'c**(1152/23)\n' | b'Simplify (c**(-1/23)/c)**(-48) assuming c is positive.\n' | b'c**(1152/23)\n' | deepmind/math_dataset |
b'Simplify (u**(-6)/u**(-1/4))/((u**(2/5)/u)/u)**20*u/(u*u*u**(-2/3)*u)*u*u**(-8)*u**(-7)/(((u*u*u*(u**(3/4)*u*u*u)/u)/u)/u) assuming u is positive.\n' | b'u**(43/6)\n' | b'Simplify (u**(-6)/u**(-1/4))/((u**(2/5)/u)/u)**20*u/(u*u*u**(-2/3)*u)*u*u**(-8)*u**(-7)/(((u*u*u*(u**(3/4)*u*u*u)/u)/u)/u) assuming u is positive.\n' | b'u**(43/6)\n' | deepmind/math_dataset |
b'What is prob of sequence mlgg when four letters picked without replacement from mgtlutgp?\n' | b'1/840\n' | b'What is prob of sequence mlgg when four letters picked without replacement from mgtlutgp?\n' | b'1/840\n' | deepmind/math_dataset |
b'Let h(l) = -50*l**2 + 50*l + 4. Let p(a) = -50*a**2 + 50*a + 5. Let y(c) = -5*h(c) + 4*p(c). What is the second derivative of y(g) wrt g?\n' | b'100\n' | b'Let h(l) = -50*l**2 + 50*l + 4. Let p(a) = -50*a**2 + 50*a + 5. Let y(c) = -5*h(c) + 4*p(c). What is the second derivative of y(g) wrt g?\n' | b'100\n' | deepmind/math_dataset |
b'Simplify (o/(o*(o*o*o**(2/5))/o)*o)**(-20)*o**(-7)*(o**(-1)*o)/o assuming o is positive.\n' | b'1\n' | b'Simplify (o/(o*(o*o*o**(2/5))/o)*o)**(-20)*o**(-7)*(o**(-1)*o)/o assuming o is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Find the third derivative of -67368996*n**2 - 890*n**4 + 34*n**4 + n**3 + 49*n + 67369019*n**2 wrt n.\n' | b'-20544*n + 6\n' | b'Find the third derivative of -67368996*n**2 - 890*n**4 + 34*n**4 + n**3 + 49*n + 67369019*n**2 wrt n.\n' | b'-20544*n + 6\n' | deepmind/math_dataset |
b'Differentiate -173912*y - 1087*y**3 + 173912*y - 1429*y**3 - 216 with respect to y.\n' | b'-7548*y**2\n' | b'Differentiate -173912*y - 1087*y**3 + 173912*y - 1429*y**3 - 216 with respect to y.\n' | b'-7548*y**2\n' | deepmind/math_dataset |
b'Let y(k) = -k**3 + 2*k - 21*k**2 - 2 - 18*k**2 - 23*k**2 + 63*k**2. Let t be y(1). Solve -4*o = -3*x + 22, -4*o - x - 4*x - 6 = t for o.\n' | b'-4\n' | b'Let y(k) = -k**3 + 2*k - 21*k**2 - 2 - 18*k**2 - 23*k**2 + 63*k**2. Let t be y(1). Solve -4*o = -3*x + 22, -4*o - x - 4*x - 6 = t for o.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (j**(-17)/(j**12/j))**(-6) assuming j is positive.\n' | b'j**168\n' | b'Simplify (j**(-17)/(j**12/j))**(-6) assuming j is positive.\n' | b'j**168\n' | deepmind/math_dataset |
b'Four letters picked without replacement from sflwswswfflfkfffyfss. What is prob of picking 1 k, 2 f, and 1 s?\n' | b'28/969\n' | b'Four letters picked without replacement from sflwswswfflfkfffyfss. What is prob of picking 1 k, 2 f, and 1 s?\n' | b'28/969\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xxxxexxxxexx. What is prob of picking 4 e?\n' | b'0\n' | b'Four letters picked without replacement from xxxxexxxxexx. What is prob of picking 4 e?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (b*b**(-2))/b**(-8)*(b*b**(1/3))/(b*b/(b*b**(-8))) assuming b is positive.\n' | b'b**(-2/3)\n' | b'Simplify (b*b**(-2))/b**(-8)*(b*b**(1/3))/(b*b/(b*b**(-8))) assuming b is positive.\n' | b'b**(-2/3)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o and 1 e when two letters picked without replacement from weloeleeoehhlelelh.\n' | b'14/153\n' | b'Calculate prob of picking 1 o and 1 e when two letters picked without replacement from weloeleeoehhlelelh.\n' | b'14/153\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {s: 9, y: 5}. What is prob of sequence yyys?\n' | b'45/2002\n' | b'Four letters picked without replacement from {s: 9, y: 5}. What is prob of sequence yyys?\n' | b'45/2002\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a and 1 r when two letters picked without replacement from rarara.\n' | b'3/5\n' | b'Calculate prob of picking 1 a and 1 r when two letters picked without replacement from rarara.\n' | b'3/5\n' | deepmind/math_dataset |
b'Let l(q) = q**2 + 4. Let o be 5 - (-1 - 1) - 3. Give l(o).\n' | b'20\n' | b'Let l(q) = q**2 + 4. Let o be 5 - (-1 - 1) - 3. Give l(o).\n' | b'20\n' | deepmind/math_dataset |
b'Let m(n) be the third derivative of 0*n**3 + 4*n**2 + 13/210*n**7 + 0*n + 1/24*n**4 + 0*n**5 + 0*n**6 + 0. What is the second derivative of m(y) wrt y?\n' | b'156*y**2\n' | b'Let m(n) be the third derivative of 0*n**3 + 4*n**2 + 13/210*n**7 + 0*n + 1/24*n**4 + 0*n**5 + 0*n**6 + 0. What is the second derivative of m(y) wrt y?\n' | b'156*y**2\n' | deepmind/math_dataset |
b'Let b be (-15)/(-9) + 2/6. Suppose -3*p = 2*p + b*t - 54, -p + 27 = -5*t. Let k = p - 10. Solve -q + k*u = -9, 4*q - 2*q - 5*u - 23 = 0 for q.\n' | b'-1\n' | b'Let b be (-15)/(-9) + 2/6. Suppose -3*p = 2*p + b*t - 54, -p + 27 = -5*t. Let k = p - 10. Solve -q + k*u = -9, 4*q - 2*q - 5*u - 23 = 0 for q.\n' | b'-1\n' | deepmind/math_dataset |
b'Let c be ((-58)/(-522))/(2/36). Let y(s) be the first derivative of 3*s**2/2 - 3*s - 2. What is y(c)?\n' | b'3\n' | b'Let c be ((-58)/(-522))/(2/36). Let y(s) be the first derivative of 3*s**2/2 - 3*s - 2. What is y(c)?\n' | b'3\n' | deepmind/math_dataset |
b'Let v(j) be the third derivative of -j**6/120 + 13*j**5/60 - j**4/24 + 7*j**3/6 - 2*j**2 - 7. Calculate v(13).\n' | b'-6\n' | b'Let v(j) be the third derivative of -j**6/120 + 13*j**5/60 - j**4/24 + 7*j**3/6 - 2*j**2 - 7. Calculate v(13).\n' | b'-6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 4, d: 2, f: 4, t: 1, n: 3}. Give prob of sequence ds.\n' | b'4/91\n' | b'Two letters picked without replacement from {s: 4, d: 2, f: 4, t: 1, n: 3}. Give prob of sequence ds.\n' | b'4/91\n' | deepmind/math_dataset |
b'What is prob of picking 1 c and 1 a when two letters picked without replacement from aztztzc?\n' | b'1/21\n' | b'What is prob of picking 1 c and 1 a when two letters picked without replacement from aztztzc?\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (g*g**(-7))/(g/(g/(g*g**9/g)*g)) assuming g is positive.\n' | b'g**(-14)\n' | b'Simplify (g*g**(-7))/(g/(g/(g*g**9/g)*g)) assuming g is positive.\n' | b'g**(-14)\n' | deepmind/math_dataset |
b'Simplify (z*z**(3/7)*z*z)/(z**1/z)*(z/(z*(z*z**(-2/5))/z*z))**(2/67) assuming z is positive.\n' | b'z**(7998/2345)\n' | b'Simplify (z*z**(3/7)*z*z)/(z**1/z)*(z/(z*(z*z**(-2/5))/z*z))**(2/67) assuming z is positive.\n' | b'z**(7998/2345)\n' | deepmind/math_dataset |
b'Suppose 4*y - y - 67 = -4*u, 0 = y + u - 23. Let d = -22 + y. Suppose 0 = -8*i + d*i. Solve 0*c - c + 4 = i, -s = -4*c + 14 for s.\n' | b'2\n' | b'Suppose 4*y - y - 67 = -4*u, 0 = y + u - 23. Let d = -22 + y. Suppose 0 = -8*i + d*i. Solve 0*c - c + 4 = i, -s = -4*c + 14 for s.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (o**(-1/8)/o**(2/13))/(o**0/(o/((o/o**(-5))/o))) assuming o is positive.\n' | b'o**(-445/104)\n' | b'Simplify (o**(-1/8)/o**(2/13))/(o**0/(o/((o/o**(-5))/o))) assuming o is positive.\n' | b'o**(-445/104)\n' | deepmind/math_dataset |
b'Let i(u) be the third derivative of 50*u**2 + 4/3*u**3 + 0*u + 1/12*u**4 + 0. Give i(-4).\n' | b'0\n' | b'Let i(u) be the third derivative of 50*u**2 + 4/3*u**3 + 0*u + 1/12*u**4 + 0. Give i(-4).\n' | b'0\n' | deepmind/math_dataset |
b'Let k = -322 + 322. Let w(p) be the second derivative of k + 0*p**4 + 2*p - 2*p**2 + 0*p**3 - 1/5*p**5. Differentiate w(r) wrt r.\n' | b'-12*r**2\n' | b'Let k = -322 + 322. Let w(p) be the second derivative of k + 0*p**4 + 2*p - 2*p**2 + 0*p**3 - 1/5*p**5. Differentiate w(r) wrt r.\n' | b'-12*r**2\n' | deepmind/math_dataset |
b'Simplify ((k**(-2))**(-2)*((k/k**(-6)*k*k)/k)/(k**3/k))**(-21) assuming k is positive.\n' | b'k**(-210)\n' | b'Simplify ((k**(-2))**(-2)*((k/k**(-6)*k*k)/k)/(k**3/k))**(-21) assuming k is positive.\n' | b'k**(-210)\n' | deepmind/math_dataset |
b'Suppose -5*b = -2*x + 64, 9*b = 2*x + 11*b - 36. Solve -x = -3*f + 5*c, -4*f - 4*c = -2*f for f.\n' | b'4\n' | b'Suppose -5*b = -2*x + 64, 9*b = 2*x + 11*b - 36. Solve -x = -3*f + 5*c, -4*f - 4*c = -2*f for f.\n' | b'4\n' | deepmind/math_dataset |
b'What is the third derivative of -26*g**2 - 8*g**4 - 8 + 40*g**5 + 1356*g**3 - 9*g**2 - 1354*g**3 wrt g?\n' | b'2400*g**2 - 192*g + 12\n' | b'What is the third derivative of -26*g**2 - 8*g**4 - 8 + 40*g**5 + 1356*g**3 - 9*g**2 - 1354*g**3 wrt g?\n' | b'2400*g**2 - 192*g + 12\n' | deepmind/math_dataset |
b'Let l be (-16)/24*3*-1. Let r(x) = -3*x + 4*x - 5*x - l + 4. What is r(7)?\n' | b'-26\n' | b'Let l be (-16)/24*3*-1. Let r(x) = -3*x + 4*x - 5*x - l + 4. What is r(7)?\n' | b'-26\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rlrruluurruu. Give prob of sequence ur.\n' | b'25/132\n' | b'Two letters picked without replacement from rlrruluurruu. Give prob of sequence ur.\n' | b'25/132\n' | deepmind/math_dataset |
b'Let x(z) = 3500*z + 1 - 10484*z - 19*z**2 + 3491*z + 3494*z. Determine x(1).\n' | b'-17\n' | b'Let x(z) = 3500*z + 1 - 10484*z - 19*z**2 + 3491*z + 3494*z. Determine x(1).\n' | b'-17\n' | deepmind/math_dataset |
b'Suppose -42 = z + 3*l - 7, -3*z - 5*l = 101. Let y = z + 36. What is the third derivative of -4*s**2 - 4*s**2 - y*s**5 + 13*s**5 - s**2 wrt s?\n' | b'540*s**2\n' | b'Suppose -42 = z + 3*l - 7, -3*z - 5*l = 101. Let y = z + 36. What is the third derivative of -4*s**2 - 4*s**2 - y*s**5 + 13*s**5 - s**2 wrt s?\n' | b'540*s**2\n' | deepmind/math_dataset |
b'What is prob of sequence ssll when four letters picked without replacement from llllssllsl?\n' | b'1/20\n' | b'What is prob of sequence ssll when four letters picked without replacement from llllssllsl?\n' | b'1/20\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t and 1 o when two letters picked without replacement from {o: 8, t: 4, i: 2}.\n' | b'32/91\n' | b'Calculate prob of picking 1 t and 1 o when two letters picked without replacement from {o: 8, t: 4, i: 2}.\n' | b'32/91\n' | deepmind/math_dataset |
b'Simplify ((((c/(c**2*c))/c*c)**2)**(17/4))**(1/26) assuming c is positive.\n' | b'c**(-17/26)\n' | b'Simplify ((((c/(c**2*c))/c*c)**2)**(17/4))**(1/26) assuming c is positive.\n' | b'c**(-17/26)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from tmtzumzztiuiutmz. Give prob of sequence iui.\n' | b'1/560\n' | b'Three letters picked without replacement from tmtzumzztiuiutmz. Give prob of sequence iui.\n' | b'1/560\n' | deepmind/math_dataset |
b'Find the third derivative of 53*c**3 + 303*c**2 + 112944*c - 112944*c + 50*c**2 + 243*c**3 wrt c.\n' | b'1776\n' | b'Find the third derivative of 53*c**3 + 303*c**2 + 112944*c - 112944*c + 50*c**2 + 243*c**3 wrt c.\n' | b'1776\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 5, v: 3, t: 2}. What is prob of picking 2 v?\n' | b'1/15\n' | b'Two letters picked without replacement from {j: 5, v: 3, t: 2}. What is prob of picking 2 v?\n' | b'1/15\n' | deepmind/math_dataset |
b'Suppose f - 5 = -2*p + 2*f, 0 = -3*p - 2*f + 11. Let r(c) = c. Let q be r(p). Differentiate 1 + 3*w**3 - w**q - 2 wrt w.\n' | b'6*w**2\n' | b'Suppose f - 5 = -2*p + 2*f, 0 = -3*p - 2*f + 11. Let r(c) = c. Let q be r(p). Differentiate 1 + 3*w**3 - w**q - 2 wrt w.\n' | b'6*w**2\n' | deepmind/math_dataset |
b'Suppose -2*m + 65 = -3*t, 0 = -5*m - t + 4*t + 158. Suppose 4*n - m = -0*j - 5*j, -2*n + 8 = 0. Let o(f) = -f + 4. Calculate o(j).\n' | b'1\n' | b'Suppose -2*m + 65 = -3*t, 0 = -5*m - t + 4*t + 158. Suppose 4*n - m = -0*j - 5*j, -2*n + 8 = 0. Let o(f) = -f + 4. Calculate o(j).\n' | b'1\n' | deepmind/math_dataset |
b'Let b(q) be the first derivative of -5*q**4/4 + 4*q + 6. What is the derivative of b(w) wrt w?\n' | b'-15*w**2\n' | b'Let b(q) be the first derivative of -5*q**4/4 + 4*q + 6. What is the derivative of b(w) wrt w?\n' | b'-15*w**2\n' | deepmind/math_dataset |
b'Let b(o) = -o**3 + 4*o**2 - o - 3. Let f be b(3). Suppose f = k - 0*k. Let w(n) = k + 0*n**2 + n + 0*n**2 + n**2. Determine w(0).\n' | b'3\n' | b'Let b(o) = -o**3 + 4*o**2 - o - 3. Let f be b(3). Suppose f = k - 0*k. Let w(n) = k + 0*n**2 + n + 0*n**2 + n**2. Determine w(0).\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -67*k = -72*k + 25. Solve -k*j = -4*n - 3, 5*j + 1 - 2 = 3*n for n.\n' | b'-2\n' | b'Suppose -67*k = -72*k + 25. Solve -k*j = -4*n - 3, 5*j + 1 - 2 = 3*n for n.\n' | b'-2\n' | deepmind/math_dataset |
b'Let a be ((-89)/89)/(0 + (-5)/150). Solve 32*f - 27*f - 5*w - 20 = 0, -5*w = 5*f + a for f.\n' | b'-1\n' | b'Let a be ((-89)/89)/(0 + (-5)/150). Solve 32*f - 27*f - 5*w - 20 = 0, -5*w = 5*f + a for f.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence www when three letters picked without replacement from {w: 3, t: 9}.\n' | b'1/220\n' | b'Calculate prob of sequence www when three letters picked without replacement from {w: 3, t: 9}.\n' | b'1/220\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 2, j: 3}. What is prob of picking 2 j and 2 y?\n' | b'3/5\n' | b'Four letters picked without replacement from {y: 2, j: 3}. What is prob of picking 2 j and 2 y?\n' | b'3/5\n' | deepmind/math_dataset |
b'What is prob of picking 2 m when two letters picked without replacement from {b: 3, m: 5, d: 5}?\n' | b'5/39\n' | b'What is prob of picking 2 m when two letters picked without replacement from {b: 3, m: 5, d: 5}?\n' | b'5/39\n' | deepmind/math_dataset |
b'Let h = -2 - -8. Let m = 9 - h. Let l(u) = u**2 - 3*u - 2. Determine l(m).\n' | b'-2\n' | b'Let h = -2 - -8. Let m = 9 - h. Let l(u) = u**2 - 3*u - 2. Determine l(m).\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = -8*y - 12 + 68. Let n(t) = -2*t - 7. What is n(y)?\n' | b'-21\n' | b'Suppose 0 = -8*y - 12 + 68. Let n(t) = -2*t - 7. What is n(y)?\n' | b'-21\n' | deepmind/math_dataset |
b'Simplify (f**(4/5)/f*f)**18 assuming f is positive.\n' | b'f**(72/5)\n' | b'Simplify (f**(4/5)/f*f)**18 assuming f is positive.\n' | b'f**(72/5)\n' | deepmind/math_dataset |
b'Suppose 4*v = 21*v. Solve -5*u + 4*j + v*j = 1, -2*u + 2 = -j for u.\n' | b'3\n' | b'Suppose 4*v = 21*v. Solve -5*u + 4*j + v*j = 1, -2*u + 2 = -j for u.\n' | b'3\n' | deepmind/math_dataset |
b'Let d be (-2)/44*-4 + (-53)/(-11). Solve -2*u = t + 2*u + 9, 2*t - d*u - 21 = 0 for t.\n' | b'3\n' | b'Let d be (-2)/44*-4 + (-53)/(-11). Solve -2*u = t + 2*u + 9, 2*t - d*u - 21 = 0 for t.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (k*(k**(1/16)*k)/k*k**(-10))**(-7/2)*k**(2/3)*k**(-1/13)*(k*k/(((k**0/k)/k)/k)*k)**(-47) assuming k is positive.\n' | b'k**(-312161/1248)\n' | b'Simplify (k*(k**(1/16)*k)/k*k**(-10))**(-7/2)*k**(2/3)*k**(-1/13)*(k*k/(((k**0/k)/k)/k)*k)**(-47) assuming k is positive.\n' | b'k**(-312161/1248)\n' | deepmind/math_dataset |
b'Let q(p) be the first derivative of -2*p**5/5 + 2*p**3 + 6. What is the third derivative of q(n) wrt n?\n' | b'-48*n\n' | b'Let q(p) be the first derivative of -2*p**5/5 + 2*p**3 + 6. What is the third derivative of q(n) wrt n?\n' | b'-48*n\n' | deepmind/math_dataset |
b'Let m(a) be the first derivative of a**2/2 - 14*a - 135. Give m(8).\n' | b'-6\n' | b'Let m(a) be the first derivative of a**2/2 - 14*a - 135. Give m(8).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose s = 2*r, 0 = 2*s - 3*s - 4*r. Suppose 0 = 2*v - s*v - 3*u - 4, 0 = 2*v - u - 8. Solve 32 = -3*h + v*x, 0 = 2*h - x - 2*x + 20 for h.\n' | b'-4\n' | b'Suppose s = 2*r, 0 = 2*s - 3*s - 4*r. Suppose 0 = 2*v - s*v - 3*u - 4, 0 = 2*v - u - 8. Solve 32 = -3*h + v*x, 0 = 2*h - x - 2*x + 20 for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Let v be 1 - 0 - 7*1. Let b(c) be the first derivative of c**2/2 - c - 2. Calculate b(v).\n' | b'-7\n' | b'Let v be 1 - 0 - 7*1. Let b(c) be the first derivative of c**2/2 - c - 2. Calculate b(v).\n' | b'-7\n' | deepmind/math_dataset |
b'Let x(w) = w**3 + 9*w**2 + 9*w + 9. Suppose -115 = -10*q - 195. What is x(q)?\n' | b'1\n' | b'Let x(w) = w**3 + 9*w**2 + 9*w + 9. Suppose -115 = -10*q - 195. What is x(q)?\n' | b'1\n' | deepmind/math_dataset |
b'Let q be (2/20)/(102/85). Let g(x) be the second derivative of 1/6*x**3 + 2*x - q*x**4 + 0*x**2 + 0. Find the second derivative of g(r) wrt r.\n' | b'-2\n' | b'Let q be (2/20)/(102/85). Let g(x) be the second derivative of 1/6*x**3 + 2*x - q*x**4 + 0*x**2 + 0. Find the second derivative of g(r) wrt r.\n' | b'-2\n' | deepmind/math_dataset |
b'Let d(i) be the third derivative of -7*i**6/60 - i**4/24 + 179*i**3/6 - 204*i**2. Differentiate d(x) wrt x.\n' | b'-42*x**2 - 1\n' | b'Let d(i) be the third derivative of -7*i**6/60 - i**4/24 + 179*i**3/6 - 204*i**2. Differentiate d(x) wrt x.\n' | b'-42*x**2 - 1\n' | deepmind/math_dataset |
b'Suppose -4*i + 5 = -2*i + 5*y, -4*i - 2*y + 2 = 0. Suppose i = -3*o + 2 + 10. Suppose 3 = o*s - 1. Let w(b) = -3*b**2. Calculate w(s).\n' | b'-3\n' | b'Suppose -4*i + 5 = -2*i + 5*y, -4*i - 2*y + 2 = 0. Suppose i = -3*o + 2 + 10. Suppose 3 = o*s - 1. Let w(b) = -3*b**2. Calculate w(s).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (t**(-3)*t**(-2))**(11/5) assuming t is positive.\n' | b't**(-11)\n' | b'Simplify (t**(-3)*t**(-2))**(11/5) assuming t is positive.\n' | b't**(-11)\n' | deepmind/math_dataset |
b'Suppose 0*n + 5*n = -3*p + 38, 5*n - 32 = -2*p. Suppose 324 = p*x - 3*x. Let h = x - 100. Solve -4*l + 18 = -5*q, 3*l - 2*q = h + 2 for l.\n' | b'2\n' | b'Suppose 0*n + 5*n = -3*p + 38, 5*n - 32 = -2*p. Suppose 324 = p*x - 3*x. Let h = x - 100. Solve -4*l + 18 = -5*q, 3*l - 2*q = h + 2 for l.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jhlhjlllflllllllflfl. Give prob of sequence fllh.\n' | b'13/1615\n' | b'Four letters picked without replacement from jhlhjlllflllllllflfl. Give prob of sequence fllh.\n' | b'13/1615\n' | deepmind/math_dataset |
b'Let z(j) = -j**3 - 7*j**2 + 3. Let u be z(-7). Let k(r) be the second derivative of -1/12*r**4 - 2*r + 1/2*r**2 + r**u + 0. Give k(5).\n' | b'6\n' | b'Let z(j) = -j**3 - 7*j**2 + 3. Let u be z(-7). Let k(r) be the second derivative of -1/12*r**4 - 2*r + 1/2*r**2 + r**u + 0. Give k(5).\n' | b'6\n' | deepmind/math_dataset |
b'Let a(w) = -5*w + 12. Let x(j) = -j + 1. Let z(g) = a(g) - 4*x(g). Let u(f) = 3*f - 23. Let r(c) = -3*u(c) - 8*z(c). Calculate r(-4).\n' | b'9\n' | b'Let a(w) = -5*w + 12. Let x(j) = -j + 1. Let z(g) = a(g) - 4*x(g). Let u(f) = 3*f - 23. Let r(c) = -3*u(c) - 8*z(c). Calculate r(-4).\n' | b'9\n' | deepmind/math_dataset |
b'Suppose 3*i = -2 + 20. Suppose s - 2*v + 24 = 2*v, 0 = 5*s + v + 36. Let n be (s/(-6))/2 + 32/i. Solve -14 = -k - 4*q, -q = -k - 0*k - n for k.\n' | b'-2\n' | b'Suppose 3*i = -2 + 20. Suppose s - 2*v + 24 = 2*v, 0 = 5*s + v + 36. Let n be (s/(-6))/2 + 32/i. Solve -14 = -k - 4*q, -q = -k - 0*k - n for k.\n' | b'-2\n' | deepmind/math_dataset |
b'Let a(o) = 4*o. Suppose 6*s - 30 = s + 3*g, 4*s = -2*g + 24. Let y(x) be the third derivative of x**4/8 - 37*x**2. Let h(m) = s*a(m) - 7*y(m). What is h(-2)?\n' | b'-6\n' | b'Let a(o) = 4*o. Suppose 6*s - 30 = s + 3*g, 4*s = -2*g + 24. Let y(x) be the third derivative of x**4/8 - 37*x**2. Let h(m) = s*a(m) - 7*y(m). What is h(-2)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let t = 74 + -62. Let q(y) = y**2 - 10*y. Let a be q(t). Solve 2*s = i - 6*i + 25, -3*i + a = 3*s for i.\n' | b'3\n' | b'Let t = 74 + -62. Let q(y) = y**2 - 10*y. Let a be q(t). Solve 2*s = i - 6*i + 25, -3*i + a = 3*s for i.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 3 f when three letters picked without replacement from {t: 2, y: 6, l: 1, r: 2, j: 1, f: 3}?\n' | b'1/455\n' | b'What is prob of picking 3 f when three letters picked without replacement from {t: 2, y: 6, l: 1, r: 2, j: 1, f: 3}?\n' | b'1/455\n' | deepmind/math_dataset |
b'Simplify (v/((v*v/(v/(v**(4/3)/v)))/v)*v)**(-3/2) assuming v is positive.\n' | b'v**(-5/2)\n' | b'Simplify (v/((v*v/(v/(v**(4/3)/v)))/v)*v)**(-3/2) assuming v is positive.\n' | b'v**(-5/2)\n' | deepmind/math_dataset |
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