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 {n: 3, z: 2, y: 3}. Give prob of picking 2 n.\n' | b'3/28\n' | b'Two letters picked without replacement from {n: 3, z: 2, y: 3}. Give prob of picking 2 n.\n' | b'3/28\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 12, u: 3}. What is prob of sequence vvvu?\n' | b'11/91\n' | b'Four letters picked without replacement from {v: 12, u: 3}. What is prob of sequence vvvu?\n' | b'11/91\n' | deepmind/math_dataset |
b'Let f(l) be the third derivative of 0 + 0*l - 3*l**2 + 1/8*l**4 - 1/30*l**5 + 0*l**3. Find the second derivative of f(m) wrt m.\n' | b'-4\n' | b'Let f(l) be the third derivative of 0 + 0*l - 3*l**2 + 1/8*l**4 - 1/30*l**5 + 0*l**3. Find the second derivative of f(m) wrt m.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (((x/(x/x**(-1/9)))/(x/x**(4/5)))/((x*x/((x*x/(x/(x/((x/(x**2/x))/x))))/x))/(x**(-1/6)/x)))**(6/5) assuming x is positive.\n' | b'x**(-133/75)\n' | b'Simplify (((x/(x/x**(-1/9)))/(x/x**(4/5)))/((x*x/((x*x/(x/(x/((x/(x**2/x))/x))))/x))/(x**(-1/6)/x)))**(6/5) assuming x is positive.\n' | b'x**(-133/75)\n' | deepmind/math_dataset |
b'What is prob of sequence hsd when three letters picked without replacement from {q: 2, i: 2, s: 1, d: 1, h: 1}?\n' | b'1/210\n' | b'What is prob of sequence hsd when three letters picked without replacement from {q: 2, i: 2, s: 1, d: 1, h: 1}?\n' | b'1/210\n' | deepmind/math_dataset |
b'Let n(y) = y**3 + 10*y**2 + 6*y - 100. Let o be n(-7). Solve -q = o*v + 21 - 0, q = 2*v + 14 for v.\n' | b'-5\n' | b'Let n(y) = y**3 + 10*y**2 + 6*y - 100. Let o be n(-7). Solve -q = o*v + 21 - 0, q = 2*v + 14 for v.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((x/(x/((x/x**(-3/2)*x)/x)))/(x**(-3)/x))/(x**(2/7)/(x/x**(3/4)))*(x**(-2)/(x/x**6))/(x/(x**(2/9)/x)*x*x*(x**4*x)/x) assuming x is positive.\n' | b'x**(425/252)\n' | b'Simplify ((x/(x/((x/x**(-3/2)*x)/x)))/(x**(-3)/x))/(x**(2/7)/(x/x**(3/4)))*(x**(-2)/(x/x**6))/(x/(x**(2/9)/x)*x*x*(x**4*x)/x) assuming x is positive.\n' | b'x**(425/252)\n' | deepmind/math_dataset |
b'Simplify (((g*g**(2/5)/g)/g)/g)**(3/22)*g**(-7)/g*g**(1/9)*(g**(2/5))**28*g/g**(-1/13)*g*(g*g**(8/7)/g)/g assuming g is positive.\n' | b'g**(239311/45045)\n' | b'Simplify (((g*g**(2/5)/g)/g)/g)**(3/22)*g**(-7)/g*g**(1/9)*(g**(2/5))**28*g/g**(-1/13)*g*(g*g**(8/7)/g)/g assuming g is positive.\n' | b'g**(239311/45045)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 1, p: 2, f: 3, w: 1, n: 6}. Give prob of sequence nfn.\n' | b'15/286\n' | b'Three letters picked without replacement from {x: 1, p: 2, f: 3, w: 1, n: 6}. Give prob of sequence nfn.\n' | b'15/286\n' | deepmind/math_dataset |
b'Simplify (s**(-9))**(10/11)/(s**(2/9)/(s**(-13)/s*s)) assuming s is positive.\n' | b's**(-2119/99)\n' | b'Simplify (s**(-9))**(10/11)/(s**(2/9)/(s**(-13)/s*s)) assuming s is positive.\n' | b's**(-2119/99)\n' | deepmind/math_dataset |
b'Suppose -5*n + 136 = 2*v, -531*n + 533*n = 4*v + 40. Let f(o) = o**3 - 25*o**2 - 28*o + 56. Calculate f(n).\n' | b'4\n' | b'Suppose -5*n + 136 = 2*v, -531*n + 533*n = 4*v + 40. Let f(o) = o**3 - 25*o**2 - 28*o + 56. Calculate f(n).\n' | b'4\n' | deepmind/math_dataset |
b'Let f(d) = -d**3 + 8*d**2 + 10*d + 5. Let k be f(9). Solve 4*v = 2*v + 5*q - k, -5*v + 11 = -q for v.\n' | b'3\n' | b'Let f(d) = -d**3 + 8*d**2 + 10*d + 5. Let k be f(9). Solve 4*v = 2*v + 5*q - k, -5*v + 11 = -q for v.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nsxsxsxxsxsxsxxsnss. Give prob of picking 1 n and 3 x.\n' | b'28/969\n' | b'Four letters picked without replacement from nsxsxsxxsxsxsxxsnss. Give prob of picking 1 n and 3 x.\n' | b'28/969\n' | deepmind/math_dataset |
b'Calculate prob of sequence rb when two letters picked without replacement from {r: 1, z: 8, f: 1, b: 1, w: 2, n: 3}.\n' | b'1/240\n' | b'Calculate prob of sequence rb when two letters picked without replacement from {r: 1, z: 8, f: 1, b: 1, w: 2, n: 3}.\n' | b'1/240\n' | deepmind/math_dataset |
b'Calculate prob of sequence hnqy when four letters picked without replacement from jhwywqn.\n' | b'1/840\n' | b'Calculate prob of sequence hnqy when four letters picked without replacement from jhwywqn.\n' | b'1/840\n' | deepmind/math_dataset |
b'Let z(x) = x**3 - 20*x**2 + 49*x + 43. Let c be z(17). Let d(b) = -b. Give d(c).\n' | b'-9\n' | b'Let z(x) = x**3 - 20*x**2 + 49*x + 43. Let c be z(17). Let d(b) = -b. Give d(c).\n' | b'-9\n' | deepmind/math_dataset |
b'Let p be 143/33 + ((-4)/(-6) - 1). Solve 0 = p*a + l - 3*l, 0 = 5*a - 2*l + 2 for a.\n' | b'-2\n' | b'Let p be 143/33 + ((-4)/(-6) - 1). Solve 0 = p*a + l - 3*l, 0 = 5*a - 2*l + 2 for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Let o(h) = h**3 - 14*h**2 + 10*h - 665. Let q be o(16). Let u(t) = -t**2 + t - 7. Calculate u(q).\n' | b'-49\n' | b'Let o(h) = h**3 - 14*h**2 + 10*h - 665. Let q be o(16). Let u(t) = -t**2 + t - 7. Calculate u(q).\n' | b'-49\n' | deepmind/math_dataset |
b'Suppose k + 29 = z - 0*k, 87 = 3*z - 4*k. What is the first derivative of -z*a**2 - 31 - 27*a**2 + 45*a**2 wrt a?\n' | b'-22*a\n' | b'Suppose k + 29 = z - 0*k, 87 = 3*z - 4*k. What is the first derivative of -z*a**2 - 31 - 27*a**2 + 45*a**2 wrt a?\n' | b'-22*a\n' | deepmind/math_dataset |
b'Let a be 6/33 - 62/(-22). Let d(i) be the second derivative of i**4/12 - 2*i**3/3 + i**2/2 + 4*i. Give d(a).\n' | b'-2\n' | b'Let a be 6/33 - 62/(-22). Let d(i) be the second derivative of i**4/12 - 2*i**3/3 + i**2/2 + 4*i. Give d(a).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify d**3*(d/d**(-4)*d*d)/d*d*d/(d*d**(-2/3))*d*d*d*d/(d*d**(-1))*d assuming d is positive.\n' | b'd**(47/3)\n' | b'Simplify d**3*(d/d**(-4)*d*d)/d*d*d/(d*d**(-2/3))*d*d*d*d/(d*d**(-1))*d assuming d is positive.\n' | b'd**(47/3)\n' | deepmind/math_dataset |
b'Suppose 4*a - n - 33 + 9 = 0, -2*a = 5*n + 10. Let p(f) be the first derivative of -1 - f + 0*f**2 + 0*f**3 - 2/5*f**a + 0*f**4. Differentiate p(d) wrt d.\n' | b'-8*d**3\n' | b'Suppose 4*a - n - 33 + 9 = 0, -2*a = 5*n + 10. Let p(f) be the first derivative of -1 - f + 0*f**2 + 0*f**3 - 2/5*f**a + 0*f**4. Differentiate p(d) wrt d.\n' | b'-8*d**3\n' | deepmind/math_dataset |
b'Let i(g) be the third derivative of -g**6/40 - g**4/24 + g**3/6 + 5*g**2. What is i(1)?\n' | b'-3\n' | b'Let i(g) be the third derivative of -g**6/40 - g**4/24 + g**3/6 + 5*g**2. What is i(1)?\n' | b'-3\n' | deepmind/math_dataset |
b'Let n(a) = -12 + 8*a**2 + 70*a**2 - a - 76*a**2 + a**3. Determine n(0).\n' | b'-12\n' | b'Let n(a) = -12 + 8*a**2 + 70*a**2 - a - 76*a**2 + a**3. Determine n(0).\n' | b'-12\n' | deepmind/math_dataset |
b'Let c(a) = -2*a + a + 0*a. Calculate c(5).\n' | b'-5\n' | b'Let c(a) = -2*a + a + 0*a. Calculate c(5).\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of picking 4 s when four letters picked without replacement from {s: 12, l: 3}?\n' | b'33/91\n' | b'What is prob of picking 4 s when four letters picked without replacement from {s: 12, l: 3}?\n' | b'33/91\n' | deepmind/math_dataset |
b'Suppose -2*i - 3*w = 3, 20*i = 18*i + 3*w + 27. Suppose -4*k + i*k + 4*k = 0. Solve 5*y - 2*m - 3*m = 40, k = -4*y + 2*m + 26 for y.\n' | b'5\n' | b'Suppose -2*i - 3*w = 3, 20*i = 18*i + 3*w + 27. Suppose -4*k + i*k + 4*k = 0. Solve 5*y - 2*m - 3*m = 40, k = -4*y + 2*m + 26 for y.\n' | b'5\n' | deepmind/math_dataset |
b'Let g = 70 - 66. Let x(w) = -13*w**2 + 8 - 1 - 5*w - w**3 + 2*w**2 + g*w**2. Calculate x(-6).\n' | b'1\n' | b'Let g = 70 - 66. Let x(w) = -13*w**2 + 8 - 1 - 5*w - w**3 + 2*w**2 + g*w**2. Calculate x(-6).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (g*g**(-5/7))/g**34*g**(-27)/(g/g**(-25)) assuming g is positive.\n' | b'g**(-607/7)\n' | b'Simplify (g*g**(-5/7))/g**34*g**(-27)/(g/g**(-25)) assuming g is positive.\n' | b'g**(-607/7)\n' | deepmind/math_dataset |
b'Let y be 8/6 - (-2)/3. Suppose -4*v = -0*v + 3*q - 17, 0 = -y*q - 2. Solve 2*t = -10, t + 3*t + 40 = -v*s for s.\n' | b'-4\n' | b'Let y be 8/6 - (-2)/3. Suppose -4*v = -0*v + 3*q - 17, 0 = -y*q - 2. Solve 2*t = -10, t + 3*t + 40 = -v*s for s.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -a = 8, -162*a = 3*l - 161*a - 4. Solve v - 10 - 8 = 5*w, -l*v - 6*w = 6 for v.\n' | b'3\n' | b'Suppose -a = 8, -162*a = 3*l - 161*a - 4. Solve v - 10 - 8 = 5*w, -l*v - 6*w = 6 for v.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xhxsx. Give prob of picking 3 x.\n' | b'1/10\n' | b'Three letters picked without replacement from xhxsx. Give prob of picking 3 x.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (y/y**(-8/5))/(y/((y**(-1)*y)/y))*(y**(-5)/y)/(y/(y*y*y**(-2))) assuming y is positive.\n' | b'y**(-32/5)\n' | b'Simplify (y/y**(-8/5))/(y/((y**(-1)*y)/y))*(y**(-5)/y)/(y/(y*y*y**(-2))) assuming y is positive.\n' | b'y**(-32/5)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r, 1 u, and 2 a when four letters picked without replacement from avuabbaravbbzr.\n' | b'12/1001\n' | b'Calculate prob of picking 1 r, 1 u, and 2 a when four letters picked without replacement from avuabbaravbbzr.\n' | b'12/1001\n' | deepmind/math_dataset |
b'Let q be 4 - 0 - (-8872)/2. Let l be q/220 - 4/22. Solve 5*u + 37 = -4*n, 6*u + l = 2*u for n.\n' | b'-3\n' | b'Let q be 4 - 0 - (-8872)/2. Let l be q/220 - 4/22. Solve 5*u + 37 = -4*n, 6*u + l = 2*u for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify c**(-5)*(c*c**(-6)*c*c)/c*(c**(-3)/c)**(6/19) assuming c is positive.\n' | b'c**(-195/19)\n' | b'Simplify c**(-5)*(c*c**(-6)*c*c)/c*(c**(-3)/c)**(6/19) assuming c is positive.\n' | b'c**(-195/19)\n' | deepmind/math_dataset |
b'Let o = 186 - 185. Suppose -4*j = -2*i + j - 39, -3*j = -9. Let w = 23 - i. Solve 5*z - 5*x = w, 0*z - 3*z - 2*x + o = 0 for z.\n' | b'3\n' | b'Let o = 186 - 185. Suppose -4*j = -2*i + j - 39, -3*j = -9. Let w = 23 - i. Solve 5*z - 5*x = w, 0*z - 3*z - 2*x + o = 0 for z.\n' | b'3\n' | deepmind/math_dataset |
b'Let k = -10 - -15. Solve -s + 2*m = -2 + 5, k*m + 9 = -3*s for s.\n' | b'-3\n' | b'Let k = -10 - -15. Solve -s + 2*m = -2 + 5, k*m + 9 = -3*s for s.\n' | b'-3\n' | deepmind/math_dataset |
b'Let z(n) = -n**3 - 12*n**2 - 12*n - 11. Let v be z(-11). Solve v = -l - 0*l, -2*c + 4*l = 10 for c.\n' | b'-5\n' | b'Let z(n) = -n**3 - 12*n**2 - 12*n - 11. Let v be z(-11). Solve v = -l - 0*l, -2*c + 4*l = 10 for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((u**(-1/5)/u**3)/(u/u**(-2/3))**(24/7))**(23/2) assuming u is positive.\n' | b'u**(-3588/35)\n' | b'Simplify ((u**(-1/5)/u**3)/(u/u**(-2/3))**(24/7))**(23/2) assuming u is positive.\n' | b'u**(-3588/35)\n' | deepmind/math_dataset |
b'Let s(m) = 129*m**3 - 206*m**2 + 2*m + 2. Let q(f) = -259*f**3 + 415*f**2 - 5*f - 5. Let g(y) = 2*q(y) + 5*s(y). Find the third derivative of g(v) wrt v.\n' | b'762\n' | b'Let s(m) = 129*m**3 - 206*m**2 + 2*m + 2. Let q(f) = -259*f**3 + 415*f**2 - 5*f - 5. Let g(y) = 2*q(y) + 5*s(y). Find the third derivative of g(v) wrt v.\n' | b'762\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xxzxzoxxxx. Give prob of picking 2 x and 2 z.\n' | b'1/10\n' | b'Four letters picked without replacement from xxzxzoxxxx. Give prob of picking 2 x and 2 z.\n' | b'1/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yymmmmmmmmmmmym. What is prob of picking 2 y?\n' | b'1/35\n' | b'Two letters picked without replacement from yymmmmmmmmmmmym. What is prob of picking 2 y?\n' | b'1/35\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 1 a when two letters picked without replacement from nnanssssnn?\n' | b'4/45\n' | b'What is prob of picking 1 s and 1 a when two letters picked without replacement from nnanssssnn?\n' | b'4/45\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 1, b: 2, c: 1, j: 1, s: 1, m: 1}. What is prob of sequence bb?\n' | b'1/21\n' | b'Two letters picked without replacement from {i: 1, b: 2, c: 1, j: 1, s: 1, m: 1}. What is prob of sequence bb?\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (r*r**18*r*r/r**(1/19))/(r**2*r**(-1/2)) assuming r is positive.\n' | b'r**(739/38)\n' | b'Simplify (r*r**18*r*r/r**(1/19))/(r**2*r**(-1/2)) assuming r is positive.\n' | b'r**(739/38)\n' | deepmind/math_dataset |
b'Simplify (x*x**(2/23)*x*x/(((((x/((x/(((x**18*x)/x)/x))/x))/x)/x)/x)/x))**(-22) assuming x is positive.\n' | b'x**(5522/23)\n' | b'Simplify (x*x**(2/23)*x*x/(((((x/((x/(((x**18*x)/x)/x))/x))/x)/x)/x)/x))**(-22) assuming x is positive.\n' | b'x**(5522/23)\n' | deepmind/math_dataset |
b'What is prob of sequence dxd when three letters picked without replacement from hxddhhdhddhddhhhdhh?\n' | b'28/2907\n' | b'What is prob of sequence dxd when three letters picked without replacement from hxddhhdhddhddhhhdhh?\n' | b'28/2907\n' | deepmind/math_dataset |
b'Suppose 2*z + d - 157 = 67, -562 = -5*z - 3*d. What is the second derivative of z*k**3 - 110*k**3 + 4*k**4 + 6*k wrt k?\n' | b'48*k**2\n' | b'Suppose 2*z + d - 157 = 67, -562 = -5*z - 3*d. What is the second derivative of z*k**3 - 110*k**3 + 4*k**4 + 6*k wrt k?\n' | b'48*k**2\n' | deepmind/math_dataset |
b'Let v(s) be the second derivative of 7571*s**4/12 + 341*s**3/6 - s**2/2 - 2*s - 617. What is the second derivative of v(u) wrt u?\n' | b'15142\n' | b'Let v(s) be the second derivative of 7571*s**4/12 + 341*s**3/6 - s**2/2 - 2*s - 617. What is the second derivative of v(u) wrt u?\n' | b'15142\n' | deepmind/math_dataset |
b'Let d = -197 - -250. What is the third derivative of 19*i**6 + 4069*i**2 - 3969*i**2 + d*i**6 wrt i?\n' | b'8640*i**3\n' | b'Let d = -197 - -250. What is the third derivative of 19*i**6 + 4069*i**2 - 3969*i**2 + d*i**6 wrt i?\n' | b'8640*i**3\n' | deepmind/math_dataset |
b'Simplify ((n*n*n*n/(n*n**(-2/11)))/((n**(-14)*n)/n))/(n/(n*n/n**11)*n/n**2) assuming n is positive.\n' | b'n**(90/11)\n' | b'Simplify ((n*n*n*n/(n*n**(-2/11)))/((n**(-14)*n)/n))/(n/(n*n/n**11)*n/n**2) assuming n is positive.\n' | b'n**(90/11)\n' | deepmind/math_dataset |
b'Simplify ((j*(j*j**18)/j*j)/j*j**(-8)/j)/((j**(-3/4)/j*j)/j)**(-1/8) assuming j is positive.\n' | b'j**(313/32)\n' | b'Simplify ((j*(j*j**18)/j*j)/j*j**(-8)/j)/((j**(-3/4)/j*j)/j)**(-1/8) assuming j is positive.\n' | b'j**(313/32)\n' | deepmind/math_dataset |
b'Let p(d) = 2388*d + 2390. Let k be p(-1). Let o(h) = -h + 9. Let w be o(6). Solve -k*t = 2*t + w*c - 18, t - 13 = -5*c for t.\n' | b'3\n' | b'Let p(d) = 2388*d + 2390. Let k be p(-1). Let o(h) = -h + 9. Let w be o(6). Solve -k*t = 2*t + w*c - 18, t - 13 = -5*c for t.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jxxxxxxxjxxxjx. Give prob of picking 1 j and 1 x.\n' | b'33/91\n' | b'Two letters picked without replacement from jxxxxxxxjxxxjx. Give prob of picking 1 j and 1 x.\n' | b'33/91\n' | deepmind/math_dataset |
b'Suppose 5*j + 3*k = 38, 2 = 2*k - 0. Suppose 2*i - i + 2*h = 0, -5*i = 3*h - j. Solve -5*m + 1 = i*b, 5*b + 3*m - 2*m + 9 = 0 for b.\n' | b'-2\n' | b'Suppose 5*j + 3*k = 38, 2 = 2*k - 0. Suppose 2*i - i + 2*h = 0, -5*i = 3*h - j. Solve -5*m + 1 = i*b, 5*b + 3*m - 2*m + 9 = 0 for b.\n' | b'-2\n' | deepmind/math_dataset |
b'Let o be (-70)/(-60) - (-2)/(-12). Let y(r) = 26*r**2 + r - 1. Let u be y(o). Solve 4 + 1 = -5*k, 0 = 5*q + k + u for q.\n' | b'-5\n' | b'Let o be (-70)/(-60) - (-2)/(-12). Let y(r) = 26*r**2 + r - 1. Let u be y(o). Solve 4 + 1 = -5*k, 0 = 5*q + k + u for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Let u(l) be the third derivative of -l**5/3 - 17*l**4/12 - 40*l**2. What is the second derivative of u(c) wrt c?\n' | b'-40\n' | b'Let u(l) be the third derivative of -l**5/3 - 17*l**4/12 - 40*l**2. What is the second derivative of u(c) wrt c?\n' | b'-40\n' | deepmind/math_dataset |
b'Let o be 4/18 - 70/(-9). Suppose -6 - 3 = -u - 2*k, -u + 3*k = 6. Find the second derivative of -8*m**u - 11 + 11 + o*m wrt m.\n' | b'-48*m\n' | b'Let o be 4/18 - 70/(-9). Suppose -6 - 3 = -u - 2*k, -u + 3*k = 6. Find the second derivative of -8*m**u - 11 + 11 + o*m wrt m.\n' | b'-48*m\n' | deepmind/math_dataset |
b'Simplify (m**(-7/6)*m**(-2/11))/(m*m/((m/m**16)/m))**(-42) assuming m is positive.\n' | b'm**(49807/66)\n' | b'Simplify (m**(-7/6)*m**(-2/11))/(m*m/((m/m**16)/m))**(-42) assuming m is positive.\n' | b'm**(49807/66)\n' | deepmind/math_dataset |
b'Find the second derivative of -91 + 118*z**2 + 44*z**2 + 97*z - 96*z wrt z.\n' | b'324\n' | b'Find the second derivative of -91 + 118*z**2 + 44*z**2 + 97*z - 96*z wrt z.\n' | b'324\n' | deepmind/math_dataset |
b'Let h be (245/(-25))/(-1) + (-1)/(-5). Let d(k) = -3*k - h + 0*k - k + 3*k. Determine d(-6).\n' | b'-4\n' | b'Let h be (245/(-25))/(-1) + (-1)/(-5). Let d(k) = -3*k - h + 0*k - k + 3*k. Determine d(-6).\n' | b'-4\n' | deepmind/math_dataset |
b'Let b(a) = 2 + 3 - 2 + 45*a - 44*a. Give b(-5).\n' | b'-2\n' | b'Let b(a) = 2 + 3 - 2 + 45*a - 44*a. Give b(-5).\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence cc when two letters picked without replacement from cjczxjj?\n' | b'1/21\n' | b'What is prob of sequence cc when two letters picked without replacement from cjczxjj?\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify ((l*l*l/(l/(l/(l**(-1)*l)))*l*l*l)/(l*(l/l**(2/15))/l))/(l**(-1/18)/(l**(6/13)/l*l)) assuming l is positive.\n' | b'l**(6611/1170)\n' | b'Simplify ((l*l*l/(l/(l/(l**(-1)*l)))*l*l*l)/(l*(l/l**(2/15))/l))/(l**(-1/18)/(l**(6/13)/l*l)) assuming l is positive.\n' | b'l**(6611/1170)\n' | deepmind/math_dataset |
b'Let j = -5 + 7. What is the second derivative of -5*u**5 - 2*u**5 - j*u - 2*u**5 - 6*u wrt u?\n' | b'-180*u**3\n' | b'Let j = -5 + 7. What is the second derivative of -5*u**5 - 2*u**5 - j*u - 2*u**5 - 6*u wrt u?\n' | b'-180*u**3\n' | deepmind/math_dataset |
b'Simplify ((v*v**(-12)/v)/((v*(v*v**(8/7))/v*v)/v))**(29/2)/((v*v**(-1))/v**(1/2)*v**(-6)/v*v**(-1/7)*v) assuming v is positive.\n' | b'v**(-1389/7)\n' | b'Simplify ((v*v**(-12)/v)/((v*(v*v**(8/7))/v*v)/v))**(29/2)/((v*v**(-1))/v**(1/2)*v**(-6)/v*v**(-1/7)*v) assuming v is positive.\n' | b'v**(-1389/7)\n' | deepmind/math_dataset |
b'Let a(z) be the second derivative of z**3 + 11*z**2/2 + 10*z. What is the first derivative of a(c) wrt c?\n' | b'6\n' | b'Let a(z) be the second derivative of z**3 + 11*z**2/2 + 10*z. What is the first derivative of a(c) wrt c?\n' | b'6\n' | deepmind/math_dataset |
b'Let n(t) be the third derivative of -t**6/180 - t**4/8 + t**3/6 - 4*t**2. Let z(x) be the first derivative of n(x). Differentiate z(g) wrt g.\n' | b'-4*g\n' | b'Let n(t) be the third derivative of -t**6/180 - t**4/8 + t**3/6 - 4*t**2. Let z(x) be the first derivative of n(x). Differentiate z(g) wrt g.\n' | b'-4*g\n' | deepmind/math_dataset |
b'Let m(v) = 133*v**4 + 457*v**2 + 2*v. Let d(o) = 136*o**4 + 457*o**2 + 3*o. Let w(x) = 2*d(x) - 3*m(x). What is the third derivative of w(l) wrt l?\n' | b'-3048*l\n' | b'Let m(v) = 133*v**4 + 457*v**2 + 2*v. Let d(o) = 136*o**4 + 457*o**2 + 3*o. Let w(x) = 2*d(x) - 3*m(x). What is the third derivative of w(l) wrt l?\n' | b'-3048*l\n' | deepmind/math_dataset |
b'Suppose 3*x = 31*j - 34*j + 21, -j = -x + 3. What is the second derivative of 3*m**3 + 16*m + 8*m**j + 2*m**4 - 3*m**3 + 302*m - 164*m wrt m?\n' | b'24*m**2 + 16\n' | b'Suppose 3*x = 31*j - 34*j + 21, -j = -x + 3. What is the second derivative of 3*m**3 + 16*m + 8*m**j + 2*m**4 - 3*m**3 + 302*m - 164*m wrt m?\n' | b'24*m**2 + 16\n' | deepmind/math_dataset |
b'Simplify ((w*w/w**(-3/5))/w)**(-15/11) assuming w is positive.\n' | b'w**(-24/11)\n' | b'Simplify ((w*w/w**(-3/5))/w)**(-15/11) assuming w is positive.\n' | b'w**(-24/11)\n' | deepmind/math_dataset |
b'Simplify (j*j**0*j)**7*j**16/j**(-1/12) assuming j is positive.\n' | b'j**(361/12)\n' | b'Simplify (j*j**0*j)**7*j**16/j**(-1/12) assuming j is positive.\n' | b'j**(361/12)\n' | deepmind/math_dataset |
b'Let m(j) = j**2 - 16*j - 55. Let x = -322 + 341. Let r be m(x). Solve -r*u + 6 = -2*i, u + 3*i - i - 6 = 0 for u.\n' | b'4\n' | b'Let m(j) = j**2 - 16*j - 55. Let x = -322 + 341. Let r be m(x). Solve -r*u + 6 = -2*i, u + 3*i - i - 6 = 0 for u.\n' | b'4\n' | deepmind/math_dataset |
b'Let j(p) be the third derivative of 22*p**7/105 - 37*p**4/24 - 10*p**2. Find the second derivative of j(z) wrt z.\n' | b'528*z**2\n' | b'Let j(p) be the third derivative of 22*p**7/105 - 37*p**4/24 - 10*p**2. Find the second derivative of j(z) wrt z.\n' | b'528*z**2\n' | deepmind/math_dataset |
b'Let f(m) be the first derivative of 11*m**2/2 - m - 9. Give f(1).\n' | b'10\n' | b'Let f(m) be the first derivative of 11*m**2/2 - m - 9. Give f(1).\n' | b'10\n' | deepmind/math_dataset |
b'Let q be (-4)/14 - 104/28. Let k(p) = -p**3 - 4*p**2 + 2*p + 5. Let v be k(q). Let g be (v - -2)/(4/(-12)). Solve 5 = -4*m + 3*i, 4*m + 11 = 2*i + g*i for m.\n' | b'1\n' | b'Let q be (-4)/14 - 104/28. Let k(p) = -p**3 - 4*p**2 + 2*p + 5. Let v be k(q). Let g be (v - -2)/(4/(-12)). Solve 5 = -4*m + 3*i, 4*m + 11 = 2*i + g*i for m.\n' | b'1\n' | deepmind/math_dataset |
b'Let n(t) = 2*t**2. Let a(x) = 5*x**2 - x. Let g = 18 + -7. Let w(h) = g*n(h) - 4*a(h). What is the second derivative of w(b) wrt b?\n' | b'4\n' | b'Let n(t) = 2*t**2. Let a(x) = 5*x**2 - x. Let g = 18 + -7. Let w(h) = g*n(h) - 4*a(h). What is the second derivative of w(b) wrt b?\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -h + 5 + 1 = 0. Let q = h - 4. Let f = 18 - 17. Solve u = -f + q, -w = 5*u for w.\n' | b'-5\n' | b'Suppose -h + 5 + 1 = 0. Let q = h - 4. Let f = 18 - 17. Solve u = -f + q, -w = 5*u for w.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 0 = -y - 4*y + 10. Suppose y*l + 4 = 3*l. Solve 4*m = -l*h - 3 - 17, -5 = h - 5*m for h.\n' | b'-5\n' | b'Suppose 0 = -y - 4*y + 10. Suppose y*l + 4 = 3*l. Solve 4*m = -l*h - 3 - 17, -5 = h - 5*m for h.\n' | b'-5\n' | deepmind/math_dataset |
b'What is the third derivative of 87*f**4 - 28*f**4 - 5 + 99*f**4 + 30*f**2 - 50*f**2 wrt f?\n' | b'3792*f\n' | b'What is the third derivative of 87*f**4 - 28*f**4 - 5 + 99*f**4 + 30*f**2 - 50*f**2 wrt f?\n' | b'3792*f\n' | deepmind/math_dataset |
b'Find the third derivative of 181039*g**3 - 180945*g**3 - g - 195*g**2 + g wrt g.\n' | b'564\n' | b'Find the third derivative of 181039*g**3 - 180945*g**3 - g - 195*g**2 + g wrt g.\n' | b'564\n' | deepmind/math_dataset |
b'Suppose -3 - 3 = -2*l. Suppose -4*i = l*c + c - 24, 5*c - 5 = 0. Let h(t) = t - t**3 - i - 5*t**2 + 4 - 7 + 2. What is h(-5)?\n' | b'-11\n' | b'Suppose -3 - 3 = -2*l. Suppose -4*i = l*c + c - 24, 5*c - 5 = 0. Let h(t) = t - t**3 - i - 5*t**2 + 4 - 7 + 2. What is h(-5)?\n' | b'-11\n' | deepmind/math_dataset |
b'Simplify (((u**1)**(-27)*(u**0)**(-18))**(-3/19))**(-4/17) assuming u is positive.\n' | b'u**(-324/323)\n' | b'Simplify (((u**1)**(-27)*(u**0)**(-18))**(-3/19))**(-4/17) assuming u is positive.\n' | b'u**(-324/323)\n' | deepmind/math_dataset |
b'Let d = -3 + 8. Let h(r) = -8*r + 6. Let i(s) = 7*s - 5. Let u(o) = d*h(o) + 6*i(o). Let l be u(-2). Let w(g) = g**2 + 4*g + 1. Determine w(l).\n' | b'1\n' | b'Let d = -3 + 8. Let h(r) = -8*r + 6. Let i(s) = 7*s - 5. Let u(o) = d*h(o) + 6*i(o). Let l be u(-2). Let w(g) = g**2 + 4*g + 1. Determine w(l).\n' | b'1\n' | deepmind/math_dataset |
b'Let d(x) = -x. Let j be d(-3). Suppose 0 = 4*h - m - 91, 3*h - 4*h + 4*m + 4 = 0. Solve 4*a - 25 = i, 4*i - j*a + 11 = -h for i.\n' | b'-5\n' | b'Let d(x) = -x. Let j be d(-3). Suppose 0 = 4*h - m - 91, 3*h - 4*h + 4*m + 4 = 0. Solve 4*a - 25 = i, 4*i - j*a + 11 = -h for i.\n' | b'-5\n' | deepmind/math_dataset |
b'Let p be 28/(-8)*24/(-14). Suppose o + o - p = 0. Solve q + 4*f = -3*q + 4, 17 = -o*q + f for q.\n' | b'-4\n' | b'Let p be 28/(-8)*24/(-14). Suppose o + o - p = 0. Solve q + 4*f = -3*q + 4, 17 = -o*q + f for q.\n' | b'-4\n' | deepmind/math_dataset |
b'Let l(a) be the second derivative of -a**4/12 - 4*a**3/3 - 5*a**2/2 + 3*a. Determine l(-6).\n' | b'7\n' | b'Let l(a) be the second derivative of -a**4/12 - 4*a**3/3 - 5*a**2/2 + 3*a. Determine l(-6).\n' | b'7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 3, l: 5, j: 4}. Give prob of sequence ssl.\n' | b'1/44\n' | b'Three letters picked without replacement from {s: 3, l: 5, j: 4}. Give prob of sequence ssl.\n' | b'1/44\n' | deepmind/math_dataset |
b'Let v(y) = -2*y + 7. Let l(z) = -3*z**3 - 10*z**2 - 12*z - 2. Let b be l(-2). Determine v(b).\n' | b'-5\n' | b'Let v(y) = -2*y + 7. Let l(z) = -3*z**3 - 10*z**2 - 12*z - 2. Let b be l(-2). Determine v(b).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (o*o/(o/((o**5*o)/o)))/((o*o**(-1/5)*o)/o)*(o**(-1)/o)**(2/41) assuming o is positive.\n' | b'o**(1046/205)\n' | b'Simplify (o*o/(o/((o**5*o)/o)))/((o*o**(-1/5)*o)/o)*(o**(-1)/o)**(2/41) assuming o is positive.\n' | b'o**(1046/205)\n' | deepmind/math_dataset |
b'Simplify (q*q**(4/5)*(q/q**(-8))/q*q**(3/2)/q**(-1/9))**(-39) assuming q is positive.\n' | b'q**(-13351/30)\n' | b'Simplify (q*q**(4/5)*(q/q**(-8))/q*q**(3/2)/q**(-1/9))**(-39) assuming q is positive.\n' | b'q**(-13351/30)\n' | deepmind/math_dataset |
b'Simplify (m**(-7)/m)**(1/33) assuming m is positive.\n' | b'm**(-8/33)\n' | b'Simplify (m**(-7)/m)**(1/33) assuming m is positive.\n' | b'm**(-8/33)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hoooohoooooooooh. Give prob of picking 3 h and 1 o.\n' | b'1/140\n' | b'Four letters picked without replacement from hoooohoooooooooh. Give prob of picking 3 h and 1 o.\n' | b'1/140\n' | deepmind/math_dataset |
b'What is prob of sequence po when two letters picked without replacement from {o: 1, h: 1, w: 4, j: 2, q: 3, p: 4}?\n' | b'2/105\n' | b'What is prob of sequence po when two letters picked without replacement from {o: 1, h: 1, w: 4, j: 2, q: 3, p: 4}?\n' | b'2/105\n' | deepmind/math_dataset |
b'Let l be 0/(-2)*1/2. Suppose -4*y = -l*y + 4. Let r(c) = 5*c**2 + 2 + 5*c**2 - 1 + 2*c. What is r(y)?\n' | b'9\n' | b'Let l be 0/(-2)*1/2. Suppose -4*y = -l*y + 4. Let r(c) = 5*c**2 + 2 + 5*c**2 - 1 + 2*c. What is r(y)?\n' | b'9\n' | deepmind/math_dataset |
b'What is prob of picking 3 f when three letters picked without replacement from fffofof?\n' | b'2/7\n' | b'What is prob of picking 3 f when three letters picked without replacement from fffofof?\n' | b'2/7\n' | deepmind/math_dataset |
b'Let i be -5*(2*-1 + 1). Let x(v) = 3*v**2 + 8*v + 4. Let d be x(-3). Suppose -8*a + d = -9. Solve i*l = 2*y + 8 + 17, 10 = 4*y + a*l for y.\n' | b'0\n' | b'Let i be -5*(2*-1 + 1). Let x(v) = 3*v**2 + 8*v + 4. Let d be x(-3). Suppose -8*a + d = -9. Solve i*l = 2*y + 8 + 17, 10 = 4*y + a*l for y.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 2 s when three letters picked without replacement from swwwwsww.\n' | b'3/28\n' | b'Calculate prob of picking 1 w and 2 s when three letters picked without replacement from swwwwsww.\n' | b'3/28\n' | deepmind/math_dataset |
b'Simplify ((s/((s**(-1/7)*s*s)/s))**(-1/40))**(-20/11) assuming s is positive.\n' | b's**(1/154)\n' | b'Simplify ((s/((s**(-1/7)*s*s)/s))**(-1/40))**(-20/11) assuming s is positive.\n' | b's**(1/154)\n' | deepmind/math_dataset |
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