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 g = 0 + -2. Let o(y) = 11*y**3 + 17*y**2 + 6*y + 3. Let m(f) = -7*f**3 - 11*f**2 - 4*f - 2. Let t(q) = 8*m(q) + 5*o(q). What is t(g)?\n' | b'-1\n' | b'Let g = 0 + -2. Let o(y) = 11*y**3 + 17*y**2 + 6*y + 3. Let m(f) = -7*f**3 - 11*f**2 - 4*f - 2. Let t(q) = 8*m(q) + 5*o(q). What is t(g)?\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (g*g/(((g**6*g*g)/g)/g))/(g/(g/g**7)) assuming g is positive.\n' | b'g**(-11)\n' | b'Simplify (g*g/(((g**6*g*g)/g)/g))/(g/(g/g**7)) assuming g is positive.\n' | b'g**(-11)\n' | deepmind/math_dataset |
b'Calculate prob of sequence gr when two letters picked without replacement from {q: 1, g: 2, r: 1, i: 1}.\n' | b'1/10\n' | b'Calculate prob of sequence gr when two letters picked without replacement from {q: 1, g: 2, r: 1, i: 1}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mmyyyymymyyyyyymym. Give prob of picking 2 m and 1 y.\n' | b'15/68\n' | b'Three letters picked without replacement from mmyyyymymyyyyyymym. Give prob of picking 2 m and 1 y.\n' | b'15/68\n' | deepmind/math_dataset |
b'Let t(y) = -14*y + 4. Suppose 167*o - 2786 = 160*o. Let i = 401 - o. Give t(i).\n' | b'-38\n' | b'Let t(y) = -14*y + 4. Suppose 167*o - 2786 = 160*o. Let i = 401 - o. Give t(i).\n' | b'-38\n' | deepmind/math_dataset |
b'Let c be (-2)/(-18)*(5 + -2). Let k(u) be the first derivative of 2*u**2 + 1 + c*u**3 - u. Determine k(-3).\n' | b'-4\n' | b'Let c be (-2)/(-18)*(5 + -2). Let k(u) be the first derivative of 2*u**2 + 1 + c*u**3 - u. Determine k(-3).\n' | b'-4\n' | deepmind/math_dataset |
b'Let o(p) be the third derivative of p**7/15 + 35*p**4/24 + 151*p**2. Find the second derivative of o(t) wrt t.\n' | b'168*t**2\n' | b'Let o(p) be the third derivative of p**7/15 + 35*p**4/24 + 151*p**2. Find the second derivative of o(t) wrt t.\n' | b'168*t**2\n' | deepmind/math_dataset |
b'Let d(c) = -7*c - 19. Let w be d(-3). Let i(t) = -42*t**2 + 41*t**w + 0 + 3*t - t**3 + 1. What is i(-2)?\n' | b'-1\n' | b'Let d(c) = -7*c - 19. Let w be d(-3). Let i(t) = -42*t**2 + 41*t**w + 0 + 3*t - t**3 + 1. What is i(-2)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let y = 6 - 13. Let x be ((-5)/y - (-10)/35) + -6. Let t(r) be the third derivative of r**6/120 + r**5/10 + r**4/4 + r**3/3 - r**2. Calculate t(x).\n' | b'-3\n' | b'Let y = 6 - 13. Let x be ((-5)/y - (-10)/35) + -6. Let t(r) be the third derivative of r**6/120 + r**5/10 + r**4/4 + r**3/3 - r**2. Calculate t(x).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify o/o**(4/7)*o**(6/11)*o**(-5)*((o*o/(o**1/o)*o)/o)/o assuming o is positive.\n' | b'o**(-233/77)\n' | b'Simplify o/o**(4/7)*o**(6/11)*o**(-5)*((o*o/(o**1/o)*o)/o)/o assuming o is positive.\n' | b'o**(-233/77)\n' | deepmind/math_dataset |
b'Simplify j*j*(j*j*j**(-2))/j*j/(j*j/(j/(j/((j/j**(3/2)*j)/j)*j))*j*j)*(j**(-1)*j*j)/(j/(j/(j/(j/((j/j**(-1/4))/j))))) assuming j is positive.\n' | b'j**(-11/4)\n' | b'Simplify j*j*(j*j*j**(-2))/j*j/(j*j/(j/(j/((j/j**(3/2)*j)/j)*j))*j*j)*(j**(-1)*j*j)/(j/(j/(j/(j/((j/j**(-1/4))/j))))) assuming j is positive.\n' | b'j**(-11/4)\n' | deepmind/math_dataset |
b'Let s(i) = i**3 - i**2 + 11*i - 37. Let p be s(3). Solve -3*w + m - p = 0, -5*w = -3*w - m + 11 for w.\n' | b'-3\n' | b'Let s(i) = i**3 - i**2 + 11*i - 37. Let p be s(3). Solve -3*w + m - p = 0, -5*w = -3*w - m + 11 for w.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (v/v**(2/19)*v**(2/5)*v**(-4)/v*(v/(v*v*v*v**(-4)*v*v*v*v))/v)**(-3/8) assuming v is positive.\n' | b'v**(1911/760)\n' | b'Simplify (v/v**(2/19)*v**(2/5)*v**(-4)/v*(v/(v*v*v*v**(-4)*v*v*v*v))/v)**(-3/8) assuming v is positive.\n' | b'v**(1911/760)\n' | deepmind/math_dataset |
b'Simplify (q/(q/(q/(q**7/q))))/(q*q**(-10))*(q**(-2/7))**(-13) assuming q is positive.\n' | b'q**(54/7)\n' | b'Simplify (q/(q/(q/(q**7/q))))/(q*q**(-10))*(q**(-2/7))**(-13) assuming q is positive.\n' | b'q**(54/7)\n' | deepmind/math_dataset |
b'Calculate prob of sequence dddd when four letters picked without replacement from {d: 5}.\n' | b'1\n' | b'Calculate prob of sequence dddd when four letters picked without replacement from {d: 5}.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((x**(-1/5)/x)/x**(-16))**(-4/3) assuming x is positive.\n' | b'x**(-296/15)\n' | b'Simplify ((x**(-1/5)/x)/x**(-16))**(-4/3) assuming x is positive.\n' | b'x**(-296/15)\n' | deepmind/math_dataset |
b'Let r(f) be the third derivative of -7*f**2 + 0*f + 0 + 2/3*f**3 - 1/24*f**4. Calculate r(4).\n' | b'0\n' | b'Let r(f) be the third derivative of -7*f**2 + 0*f + 0 + 2/3*f**3 - 1/24*f**4. Calculate r(4).\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from addualudulduuddulal. What is prob of picking 1 a and 3 d?\n' | b'5/323\n' | b'Four letters picked without replacement from addualudulduuddulal. What is prob of picking 1 a and 3 d?\n' | b'5/323\n' | deepmind/math_dataset |
b'Calculate prob of sequence kt when two letters picked without replacement from {z: 5, t: 2, k: 3}.\n' | b'1/15\n' | b'Calculate prob of sequence kt when two letters picked without replacement from {z: 5, t: 2, k: 3}.\n' | b'1/15\n' | deepmind/math_dataset |
b'Simplify (((t*t**1)/t)**(-34))**(-16)/(t**(-2)/(t/(t*t**(2/3))))**47 assuming t is positive.\n' | b't**(1820/3)\n' | b'Simplify (((t*t**1)/t)**(-34))**(-16)/(t**(-2)/(t/(t*t**(2/3))))**47 assuming t is positive.\n' | b't**(1820/3)\n' | deepmind/math_dataset |
b'Let g(n) be the second derivative of 2147*n**3/6 - 1391*n**2/2 - 55*n. Find the first derivative of g(j) wrt j.\n' | b'2147\n' | b'Let g(n) be the second derivative of 2147*n**3/6 - 1391*n**2/2 - 55*n. Find the first derivative of g(j) wrt j.\n' | b'2147\n' | deepmind/math_dataset |
b'Suppose 3*u + 12 = 4*y - 1, 2*y = -3*u + 11. Let t(o) = -o + 14. Let a be t(9). Let r be (a - 8)*1/(-1). Solve -y*q = -2*f + f + 17, -r*q - 17 = -5*f for f.\n' | b'1\n' | b'Suppose 3*u + 12 = 4*y - 1, 2*y = -3*u + 11. Let t(o) = -o + 14. Let a be t(9). Let r be (a - 8)*1/(-1). Solve -y*q = -2*f + f + 17, -r*q - 17 = -5*f for f.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 7, p: 1, w: 2, h: 1, k: 8, f: 1}. What is prob of sequence pwhk?\n' | b'2/14535\n' | b'Four letters picked without replacement from {l: 7, p: 1, w: 2, h: 1, k: 8, f: 1}. What is prob of sequence pwhk?\n' | b'2/14535\n' | deepmind/math_dataset |
b'Let p = 306 + -304. Find the third derivative of 7*c**p - 40*c**5 - 70*c**5 - 5 - 68*c**5 + 32*c**5 wrt c.\n' | b'-8760*c**2\n' | b'Let p = 306 + -304. Find the third derivative of 7*c**p - 40*c**5 - 70*c**5 - 5 - 68*c**5 + 32*c**5 wrt c.\n' | b'-8760*c**2\n' | deepmind/math_dataset |
b'Let y(g) = g**2 - 7*g - 4. Let n be (-63)/(-5 + 2)*(-4)/(-12). Determine y(n).\n' | b'-4\n' | b'Let y(g) = g**2 - 7*g - 4. Let n be (-63)/(-5 + 2)*(-4)/(-12). Determine y(n).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (i**(6/13)*i**0*i)/((i/(i/(i/(i**(-1/19)/i*i))))/i**(5/2)) assuming i is positive.\n' | b'i**(1437/494)\n' | b'Simplify (i**(6/13)*i**0*i)/((i/(i/(i/(i**(-1/19)/i*i))))/i**(5/2)) assuming i is positive.\n' | b'i**(1437/494)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 11, a: 2, o: 7}. Give prob of sequence aa.\n' | b'1/190\n' | b'Two letters picked without replacement from {y: 11, a: 2, o: 7}. Give prob of sequence aa.\n' | b'1/190\n' | deepmind/math_dataset |
b'Simplify ((((g**(1/11))**23)**47)**(6/11))**(1/22) assuming g is positive.\n' | b'g**(3243/1331)\n' | b'Simplify ((((g**(1/11))**23)**47)**(6/11))**(1/22) assuming g is positive.\n' | b'g**(3243/1331)\n' | deepmind/math_dataset |
b'Simplify ((g/(g/g**(-4/9)*g))**(-1)/(g**(-31)/(g*g/(g*g**(-9/4)*g))))**(5/2) assuming g is positive.\n' | b'g**(6245/72)\n' | b'Simplify ((g/(g/g**(-4/9)*g))**(-1)/(g**(-31)/(g*g/(g*g**(-9/4)*g))))**(5/2) assuming g is positive.\n' | b'g**(6245/72)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 4, p: 3, h: 1, r: 1, l: 1, e: 4}. What is prob of picking 1 e, 1 p, and 1 h?\n' | b'3/91\n' | b'Three letters picked without replacement from {v: 4, p: 3, h: 1, r: 1, l: 1, e: 4}. What is prob of picking 1 e, 1 p, and 1 h?\n' | b'3/91\n' | deepmind/math_dataset |
b'Simplify ((s**(-3)/s)/(s**(-3)/s))**(1/14)/((s*s**(-6))/(((s/(s*s**(2/25)*s)*s)/s)/s*s)*(s/s**2*s)**(5/2)) assuming s is positive.\n' | b's**(98/25)\n' | b'Simplify ((s**(-3)/s)/(s**(-3)/s))**(1/14)/((s*s**(-6))/(((s/(s*s**(2/25)*s)*s)/s)/s*s)*(s/s**2*s)**(5/2)) assuming s is positive.\n' | b's**(98/25)\n' | deepmind/math_dataset |
b'Simplify ((j/j**(2/9)*j)/(j*j**0))**32 assuming j is positive.\n' | b'j**(224/9)\n' | b'Simplify ((j/j**(2/9)*j)/(j*j**0))**32 assuming j is positive.\n' | b'j**(224/9)\n' | deepmind/math_dataset |
b'Let t(b) be the second derivative of b**4/24 - 2*b**3 - 9*b**2/2 - 4*b. Let j(f) be the first derivative of t(f). What is j(11)?\n' | b'-1\n' | b'Let t(b) be the second derivative of b**4/24 - 2*b**3 - 9*b**2/2 - 4*b. Let j(f) be the first derivative of t(f). What is j(11)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let z = 14 + -10. What is the derivative of -y**3 + y**4 + y**3 - 4*y**z - 1 wrt y?\n' | b'-12*y**3\n' | b'Let z = 14 + -10. What is the derivative of -y**3 + y**4 + y**3 - 4*y**z - 1 wrt y?\n' | b'-12*y**3\n' | deepmind/math_dataset |
b'Suppose a = -8*a + 45. Let g(q) = -a + 7*q - 8*q + 1 + 2. Give g(-3).\n' | b'1\n' | b'Suppose a = -8*a + 45. Let g(q) = -a + 7*q - 8*q + 1 + 2. Give g(-3).\n' | b'1\n' | deepmind/math_dataset |
b'Let q(p) be the first derivative of -2331*p**2 - 3957*p - 1425. Find the first derivative of q(u) wrt u.\n' | b'-4662\n' | b'Let q(p) be the first derivative of -2331*p**2 - 3957*p - 1425. Find the first derivative of q(u) wrt u.\n' | b'-4662\n' | deepmind/math_dataset |
b'Calculate prob of sequence buu when three letters picked without replacement from {b: 2, u: 10}.\n' | b'3/22\n' | b'Calculate prob of sequence buu when three letters picked without replacement from {b: 2, u: 10}.\n' | b'3/22\n' | deepmind/math_dataset |
b'Simplify (((k**(-1/2)*k)/k)**(3/34))**(-20) assuming k is positive.\n' | b'k**(15/17)\n' | b'Simplify (((k**(-1/2)*k)/k)**(3/34))**(-20) assuming k is positive.\n' | b'k**(15/17)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from fpnwwwwhhneew. What is prob of sequence pwfe?\n' | b'1/1716\n' | b'Four letters picked without replacement from fpnwwwwhhneew. What is prob of sequence pwfe?\n' | b'1/1716\n' | deepmind/math_dataset |
b'Simplify ((j/(j**7*j)*j*j)/(j*j/(j*j/(j**(2/11)*j*j)))*(j**(-2/11)*j)/(j*j**(-6)))/((j*j/j**(-1/8))/j**(1/5)*(j**(-1)*j)**(-15)) assuming j is positive.\n' | b'j**(-1447/440)\n' | b'Simplify ((j/(j**7*j)*j*j)/(j*j/(j*j/(j**(2/11)*j*j)))*(j**(-2/11)*j)/(j*j**(-6)))/((j*j/j**(-1/8))/j**(1/5)*(j**(-1)*j)**(-15)) assuming j is positive.\n' | b'j**(-1447/440)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ejeoweqejeoejq. Give prob of picking 1 o and 1 q.\n' | b'4/91\n' | b'Two letters picked without replacement from ejeoweqejeoejq. Give prob of picking 1 o and 1 q.\n' | b'4/91\n' | deepmind/math_dataset |
b'Let i(u) = u**2 - 19*u + 18. Let z be i(18). Suppose z = -37*o + 38*o - 1. Solve -2*w = 3*k - 1, k + o = -2*w - 4 for w.\n' | b'-4\n' | b'Let i(u) = u**2 - 19*u + 18. Let z be i(18). Suppose z = -37*o + 38*o - 1. Solve -2*w = 3*k - 1, k + o = -2*w - 4 for w.\n' | b'-4\n' | deepmind/math_dataset |
b'Let k be 1 + -1 + (6 - (-9)/(-3)). Let c be 1*(-4)/(-8)*14 - k. Solve 4*s + 2 = 2*d, -3*s + 3*d + 10 = c for s.\n' | b'-3\n' | b'Let k be 1 + -1 + (6 - (-9)/(-3)). Let c be 1*(-4)/(-8)*14 - k. Solve 4*s + 2 = 2*d, -3*s + 3*d + 10 = c for s.\n' | b'-3\n' | deepmind/math_dataset |
b'Let k(o) = 13*o**2 + 2*o - 23*o**2 + 11*o**2 + 3 - 6*o. Suppose 5*z = z - 8. Let g be 3/(-2)*z - 1. Give k(g).\n' | b'-1\n' | b'Let k(o) = 13*o**2 + 2*o - 23*o**2 + 11*o**2 + 3 - 6*o. Suppose 5*z = z - 8. Let g be 3/(-2)*z - 1. Give k(g).\n' | b'-1\n' | deepmind/math_dataset |
b'Let c = -97 + 97. Suppose 24*g + 27 - 123 = c. Solve -12 = -4*x + g*n, 2*x = -2*n - 12 + 2 for x.\n' | b'-1\n' | b'Let c = -97 + 97. Suppose 24*g + 27 - 123 = c. Solve -12 = -4*x + g*n, 2*x = -2*n - 12 + 2 for x.\n' | b'-1\n' | deepmind/math_dataset |
b'Let v(m) be the first derivative of -358*m**5/5 + 3*m**2/2 - 34*m + 147. What is the second derivative of v(q) wrt q?\n' | b'-4296*q**2\n' | b'Let v(m) be the first derivative of -358*m**5/5 + 3*m**2/2 - 34*m + 147. What is the second derivative of v(q) wrt q?\n' | b'-4296*q**2\n' | deepmind/math_dataset |
b'Let t(x) = -2*x - 6. Let l(g) = g**3 - 12*g**2 + 20*g. Let y be l(10). What is t(y)?\n' | b'-6\n' | b'Let t(x) = -2*x - 6. Let l(g) = g**3 - 12*g**2 + 20*g. Let y be l(10). What is t(y)?\n' | b'-6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 7}. What is prob of sequence yyy?\n' | b'1\n' | b'Three letters picked without replacement from {y: 7}. What is prob of sequence yyy?\n' | b'1\n' | deepmind/math_dataset |
b'Let r = -8 - -18. Let w(f) = 1 + 4*f - 1 + r - 7. What is w(4)?\n' | b'19\n' | b'Let r = -8 - -18. Let w(f) = 1 + 4*f - 1 + r - 7. What is w(4)?\n' | b'19\n' | deepmind/math_dataset |
b'Simplify k**32*k*(k/k**(-7/6))/k*k*k assuming k is positive.\n' | b'k**(217/6)\n' | b'Simplify k**32*k*(k/k**(-7/6))/k*k*k assuming k is positive.\n' | b'k**(217/6)\n' | deepmind/math_dataset |
b'What is prob of sequence uut when three letters picked without replacement from {t: 6, u: 2}?\n' | b'1/28\n' | b'What is prob of sequence uut when three letters picked without replacement from {t: 6, u: 2}?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let l(z) = 0*z + z + 21*z**2 + 2*z - 2*z. Let c be l(-1). Solve -4*h - c = 5*r, 0 = -2*r - 0*h + 2*h - 8 for r.\n' | b'-4\n' | b'Let l(z) = 0*z + z + 21*z**2 + 2*z - 2*z. Let c be l(-1). Solve -4*h - c = 5*r, 0 = -2*r - 0*h + 2*h - 8 for r.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence jufj when four letters picked without replacement from fuffvfcujjuf?\n' | b'1/396\n' | b'What is prob of sequence jufj when four letters picked without replacement from fuffvfcujjuf?\n' | b'1/396\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ewwewwedwedwwwwee. Give prob of picking 3 e and 1 w.\n' | b'9/119\n' | b'Four letters picked without replacement from ewwewwedwedwwwwee. Give prob of picking 3 e and 1 w.\n' | b'9/119\n' | deepmind/math_dataset |
b'Let f be ((-4)/8)/((-1)/4). Let b(j) = 0*j**3 - 3 + 5*j + 2 - 2*j**2 - j**3 - 2*j. Calculate b(f).\n' | b'-11\n' | b'Let f be ((-4)/8)/((-1)/4). Let b(j) = 0*j**3 - 3 + 5*j + 2 - 2*j**2 - j**3 - 2*j. Calculate b(f).\n' | b'-11\n' | deepmind/math_dataset |
b'What is prob of sequence aao when three letters picked without replacement from {a: 5, o: 5}?\n' | b'5/36\n' | b'What is prob of sequence aao when three letters picked without replacement from {a: 5, o: 5}?\n' | b'5/36\n' | deepmind/math_dataset |
b'What is the third derivative of 289*g**2 - 71*g**2 + g**4 - 3*g**6 + 3*g**4 + 24*g**5 - 4*g**4 wrt g?\n' | b'-360*g**3 + 1440*g**2\n' | b'What is the third derivative of 289*g**2 - 71*g**2 + g**4 - 3*g**6 + 3*g**4 + 24*g**5 - 4*g**4 wrt g?\n' | b'-360*g**3 + 1440*g**2\n' | deepmind/math_dataset |
b'Let f = -13 - -23. Let x(n) = -4*n + 7*n**2 + 2 + 0 + n**3 - 1 + f*n. Give x(-6).\n' | b'1\n' | b'Let f = -13 - -23. Let x(n) = -4*n + 7*n**2 + 2 + 0 + n**3 - 1 + f*n. Give x(-6).\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s and 2 x when three letters picked without replacement from {m: 1, x: 2, s: 4, d: 3, a: 2, f: 2}.\n' | b'1/91\n' | b'Calculate prob of picking 1 s and 2 x when three letters picked without replacement from {m: 1, x: 2, s: 4, d: 3, a: 2, f: 2}.\n' | b'1/91\n' | deepmind/math_dataset |
b'Suppose -4*c = -4*k + 28, -190*c = -4*k - 187*c + 27. Solve -5*h - k = -j - 0, 0 = -4*h + 5*j - 9 for h.\n' | b'-1\n' | b'Suppose -4*c = -4*k + 28, -190*c = -4*k - 187*c + 27. Solve -5*h - k = -j - 0, 0 = -4*h + 5*j - 9 for h.\n' | b'-1\n' | deepmind/math_dataset |
b'Let g(b) = b**2 - 4*b - 2. Let j be g(5). Solve -j + 15 = -3*y + 3*w, -1 = 4*y - w for y.\n' | b'1\n' | b'Let g(b) = b**2 - 4*b - 2. Let j be g(5). Solve -j + 15 = -3*y + 3*w, -1 = 4*y - w for y.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 2, c: 1, y: 1, w: 4, o: 5, v: 2}. What is prob of picking 1 v, 1 w, and 1 c?\n' | b'8/455\n' | b'Three letters picked without replacement from {u: 2, c: 1, y: 1, w: 4, o: 5, v: 2}. What is prob of picking 1 v, 1 w, and 1 c?\n' | b'8/455\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 4, a: 7}. Give prob of sequence hhha.\n' | b'7/330\n' | b'Four letters picked without replacement from {h: 4, a: 7}. Give prob of sequence hhha.\n' | b'7/330\n' | deepmind/math_dataset |
b'Simplify ((d/(d**5/d))**(-3/26))**32 assuming d is positive.\n' | b'd**(144/13)\n' | b'Simplify ((d/(d**5/d))**(-3/26))**32 assuming d is positive.\n' | b'd**(144/13)\n' | deepmind/math_dataset |
b'Simplify (a**2)**(6/7)/(a/(a/a**(3/5))*a/(a/(a*(a*a/((a*a**2)/a))/a)))*a**(4/7)/a**(2/9)*((a/(a**(-4)/a))/a)/((a**(-1/4)/a)/a) assuming a is positive.\n' | b'a**(10979/1260)\n' | b'Simplify (a**2)**(6/7)/(a/(a/a**(3/5))*a/(a/(a*(a*a/((a*a**2)/a))/a)))*a**(4/7)/a**(2/9)*((a/(a**(-4)/a))/a)/((a**(-1/4)/a)/a) assuming a is positive.\n' | b'a**(10979/1260)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e and 1 d when two letters picked without replacement from ededdddddeeedddd.\n' | b'11/24\n' | b'Calculate prob of picking 1 e and 1 d when two letters picked without replacement from ededdddddeeedddd.\n' | b'11/24\n' | deepmind/math_dataset |
b'Let u(k) be the third derivative of -k**4/24 - 7*k**2. What is u(-6)?\n' | b'6\n' | b'Let u(k) be the third derivative of -k**4/24 - 7*k**2. What is u(-6)?\n' | b'6\n' | deepmind/math_dataset |
b'Let i(p) = -322*p + 628*p - 319*p - 1 - 32 - p**3 - 11*p**2. Give i(-10).\n' | b'-3\n' | b'Let i(p) = -322*p + 628*p - 319*p - 1 - 32 - p**3 - 11*p**2. Give i(-10).\n' | b'-3\n' | deepmind/math_dataset |
b'Let y(u) = -u**2 + 5*u + 4. Let q = -15 + 15. Let l be (-10)/2*(q + -1). Suppose g - 1 - 4 = n, 0 = -5*g - l*n + 25. Give y(g).\n' | b'4\n' | b'Let y(u) = -u**2 + 5*u + 4. Let q = -15 + 15. Let l be (-10)/2*(q + -1). Suppose g - 1 - 4 = n, 0 = -5*g - l*n + 25. Give y(g).\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 1 b when two letters picked without replacement from kmbmq.\n' | b'1/10\n' | b'Calculate prob of picking 1 k and 1 b when two letters picked without replacement from kmbmq.\n' | b'1/10\n' | deepmind/math_dataset |
b'What is prob of picking 2 v and 2 c when four letters picked without replacement from {c: 5, v: 14}?\n' | b'455/1938\n' | b'What is prob of picking 2 v and 2 c when four letters picked without replacement from {c: 5, v: 14}?\n' | b'455/1938\n' | deepmind/math_dataset |
b'Find the third derivative of 566 + 454*z**2 - 879*z**2 - 3*z**4 + 424*z**2 - 1835*z**3 + 2*z**4 wrt z.\n' | b'-24*z - 11010\n' | b'Find the third derivative of 566 + 454*z**2 - 879*z**2 - 3*z**4 + 424*z**2 - 1835*z**3 + 2*z**4 wrt z.\n' | b'-24*z - 11010\n' | deepmind/math_dataset |
b'Simplify s**(-2/83)/(s*s**30*s*s)*(s**(-8)/s*s)**(-35) assuming s is positive.\n' | b's**(20499/83)\n' | b'Simplify s**(-2/83)/(s*s**30*s*s)*(s**(-8)/s*s)**(-35) assuming s is positive.\n' | b's**(20499/83)\n' | deepmind/math_dataset |
b'Let k = -33 - -57. Suppose -r + 4*r - k = 0. Solve -5*g - 5*c + 16 = -14, -3*g = c - r for g.\n' | b'1\n' | b'Let k = -33 - -57. Suppose -r + 4*r - k = 0. Solve -5*g - 5*c + 16 = -14, -3*g = c - r for g.\n' | b'1\n' | deepmind/math_dataset |
b'Let s(g) be the first derivative of -g**8/84 + g**5/6 + 5*g**2 + 3. Let d(c) be the second derivative of s(c). Find the third derivative of d(i) wrt i.\n' | b'-240*i**2\n' | b'Let s(g) be the first derivative of -g**8/84 + g**5/6 + 5*g**2 + 3. Let d(c) be the second derivative of s(c). Find the third derivative of d(i) wrt i.\n' | b'-240*i**2\n' | deepmind/math_dataset |
b'Suppose -4*d - 2*c = -28, -c = -0*c. What is the second derivative of 6*u**4 + d*u**5 - 5*u - 6*u**4 - 5*u**5 wrt u?\n' | b'40*u**3\n' | b'Suppose -4*d - 2*c = -28, -c = -0*c. What is the second derivative of 6*u**4 + d*u**5 - 5*u - 6*u**4 - 5*u**5 wrt u?\n' | b'40*u**3\n' | deepmind/math_dataset |
b'Simplify (k**(2/5))**19*((k/((k*k**(1/10)*k)/k*k))/k)/k**(3/2) assuming k is positive.\n' | b'k**4\n' | b'Simplify (k**(2/5))**19*((k/((k*k**(1/10)*k)/k*k))/k)/k**(3/2) assuming k is positive.\n' | b'k**4\n' | deepmind/math_dataset |
b'Simplify (((x*x**4/x)/(x*x**(-2/9)*x))**(-3/4))**44 assuming x is positive.\n' | b'x**(-220/3)\n' | b'Simplify (((x*x**4/x)/(x*x**(-2/9)*x))**(-3/4))**44 assuming x is positive.\n' | b'x**(-220/3)\n' | deepmind/math_dataset |
b'Let m be 3/2 - (-2)/4. Suppose 5*t + 2*h - 12 = -2, t = -2*h + m. Find the third derivative of -z**2 + 3*z**5 - z**5 + z**2 + 3*z**t wrt z.\n' | b'120*z**2\n' | b'Let m be 3/2 - (-2)/4. Suppose 5*t + 2*h - 12 = -2, t = -2*h + m. Find the third derivative of -z**2 + 3*z**5 - z**5 + z**2 + 3*z**t wrt z.\n' | b'120*z**2\n' | deepmind/math_dataset |
b'Let k = 48 - 27. Let t = -3 - -1. Let r = t + 4. Solve -4*u - 3*b - r*b = -k, u = -b + 4 for u.\n' | b'-1\n' | b'Let k = 48 - 27. Let t = -3 - -1. Let r = t + 4. Solve -4*u - 3*b - r*b = -k, u = -b + 4 for u.\n' | b'-1\n' | deepmind/math_dataset |
b'Let y(i) = 6 + 2*i**2 + 0*i**2 - i**2 + 6*i. Suppose 29 - 41 = 2*c. Give y(c).\n' | b'6\n' | b'Let y(i) = 6 + 2*i**2 + 0*i**2 - i**2 + 6*i. Suppose 29 - 41 = 2*c. Give y(c).\n' | b'6\n' | deepmind/math_dataset |
b'Let j(u) = u**3 - 5*u**2 - 15*u - 4. Let o(m) = m**3 + 3*m**2 + 24*m - 11*m - 3*m**3 + 2 + m**3. Let c(p) = 4*j(p) + 5*o(p). Give c(-5).\n' | b'-31\n' | b'Let j(u) = u**3 - 5*u**2 - 15*u - 4. Let o(m) = m**3 + 3*m**2 + 24*m - 11*m - 3*m**3 + 2 + m**3. Let c(p) = 4*j(p) + 5*o(p). Give c(-5).\n' | b'-31\n' | deepmind/math_dataset |
b'Four letters picked without replacement from omtrlobl. What is prob of sequence tmrb?\n' | b'1/1680\n' | b'Four letters picked without replacement from omtrlobl. What is prob of sequence tmrb?\n' | b'1/1680\n' | deepmind/math_dataset |
b'Let d(g) be the second derivative of 0 + 1/2*g**2 - 1/12*g**4 - g - 7/6*g**3. Let s = 11 + -17. Determine d(s).\n' | b'7\n' | b'Let d(g) be the second derivative of 0 + 1/2*g**2 - 1/12*g**4 - g - 7/6*g**3. Let s = 11 + -17. Determine d(s).\n' | b'7\n' | deepmind/math_dataset |
b'What is prob of sequence azaa when four letters picked without replacement from azaaaazz?\n' | b'3/28\n' | b'What is prob of sequence azaa when four letters picked without replacement from azaaaazz?\n' | b'3/28\n' | deepmind/math_dataset |
b'Simplify ((x/(x*x/x**(2/53))*x)/(x*x**(-22)))/(x*x*(x/x**25)/x*x*x*x**(-5)/x) assuming x is positive.\n' | b'x**(2546/53)\n' | b'Simplify ((x/(x*x/x**(2/53))*x)/(x*x**(-22)))/(x*x*(x/x**25)/x*x*x*x**(-5)/x) assuming x is positive.\n' | b'x**(2546/53)\n' | deepmind/math_dataset |
b'Let s = 7 - -2. Suppose -4*u + s*u - 40 = 0. Let y = u + -5. Solve j - y = -2*c, -3*c = -2*c + 1 for j.\n' | b'5\n' | b'Let s = 7 - -2. Suppose -4*u + s*u - 40 = 0. Let y = u + -5. Solve j - y = -2*c, -3*c = -2*c + 1 for j.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence vmma when four letters picked without replacement from avmammaavmvm.\n' | b'2/99\n' | b'Calculate prob of sequence vmma when four letters picked without replacement from avmammaavmvm.\n' | b'2/99\n' | deepmind/math_dataset |
b'What is prob of sequence mcf when three letters picked without replacement from {m: 5, c: 4, f: 3}?\n' | b'1/22\n' | b'What is prob of sequence mcf when three letters picked without replacement from {m: 5, c: 4, f: 3}?\n' | b'1/22\n' | deepmind/math_dataset |
b'Let q(w) be the third derivative of -1/21*w**8 + 13/60*w**5 + 0*w + 0*w**3 + 0*w**7 - 15*w**2 + 0*w**6 + 0*w**4 + 0. Find the third derivative of q(p) wrt p.\n' | b'-960*p**2\n' | b'Let q(w) be the third derivative of -1/21*w**8 + 13/60*w**5 + 0*w + 0*w**3 + 0*w**7 - 15*w**2 + 0*w**6 + 0*w**4 + 0. Find the third derivative of q(p) wrt p.\n' | b'-960*p**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 4, x: 4, v: 2, d: 2}. Give prob of sequence xdpx.\n' | b'4/495\n' | b'Four letters picked without replacement from {p: 4, x: 4, v: 2, d: 2}. Give prob of sequence xdpx.\n' | b'4/495\n' | deepmind/math_dataset |
b'Suppose s = 5*k - 20, -5*s = 2*k + 7 + 39. Let y(h) = 18 + 5559*h - 1850*h - 1852*h - 1854*h + 6. Determine y(s).\n' | b'-6\n' | b'Suppose s = 5*k - 20, -5*s = 2*k + 7 + 39. Let y(h) = 18 + 5559*h - 1850*h - 1852*h - 1854*h + 6. Determine y(s).\n' | b'-6\n' | deepmind/math_dataset |
b'Let d(v) = v**3 - 11*v**2 + v - 9. Let f be d(11). Differentiate 18*h**2 + 3 - 20*h**f - h + h with respect to h.\n' | b'-4*h\n' | b'Let d(v) = v**3 - 11*v**2 + v - 9. Let f be d(11). Differentiate 18*h**2 + 3 - 20*h**f - h + h with respect to h.\n' | b'-4*h\n' | deepmind/math_dataset |
b'Let d = 39 - 25. Let n(z) = -z + 16. Let g be n(d). Find the first derivative of -13 + 11*k**g - 4*k**3 - 11*k**2 wrt k.\n' | b'-12*k**2\n' | b'Let d = 39 - 25. Let n(z) = -z + 16. Let g be n(d). Find the first derivative of -13 + 11*k**g - 4*k**3 - 11*k**2 wrt k.\n' | b'-12*k**2\n' | deepmind/math_dataset |
b'Suppose 4*r - 1 = 5*x, 2*x - 3 + 17 = 5*r. Let k(t) = 3*t**2 + t**3 + 1 + 0*t - 3*t + r. Let n = 6 + -10. Calculate k(n).\n' | b'1\n' | b'Suppose 4*r - 1 = 5*x, 2*x - 3 + 17 = 5*r. Let k(t) = 3*t**2 + t**3 + 1 + 0*t - 3*t + r. Let n = 6 + -10. Calculate k(n).\n' | b'1\n' | deepmind/math_dataset |
b'Let c be (-1 + (-7)/4 - 1)/((-2857)/11428). Solve -3*l = -5*a - c + 3, 4*a = 3*l - 12 for a.\n' | b'0\n' | b'Let c be (-1 + (-7)/4 - 1)/((-2857)/11428). Solve -3*l = -5*a - c + 3, 4*a = 3*l - 12 for a.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (p**(-24)*p)/(p*p**(-4/9))*p/p**(-3/10)*p**33 assuming p is positive.\n' | b'p**(967/90)\n' | b'Simplify (p**(-24)*p)/(p*p**(-4/9))*p/p**(-3/10)*p**33 assuming p is positive.\n' | b'p**(967/90)\n' | deepmind/math_dataset |
b'Let u(w) = -28*w**2 + 25*w - 21. Let k(o) = -13*o**2 + 11*o - 10. Let n(j) = 13*k(j) - 6*u(j). Give n(-9).\n' | b'-22\n' | b'Let u(w) = -28*w**2 + 25*w - 21. Let k(o) = -13*o**2 + 11*o - 10. Let n(j) = 13*k(j) - 6*u(j). Give n(-9).\n' | b'-22\n' | deepmind/math_dataset |
b'Let w(c) = 3 - 2*c + 2*c**2 - 2*c**2 + 2*c**2 - c**2. Let n be w(2). What is the second derivative of s**2 + 5*s**n + 3*s - s**2 - 2*s**3 wrt s?\n' | b'18*s\n' | b'Let w(c) = 3 - 2*c + 2*c**2 - 2*c**2 + 2*c**2 - c**2. Let n be w(2). What is the second derivative of s**2 + 5*s**n + 3*s - s**2 - 2*s**3 wrt s?\n' | b'18*s\n' | deepmind/math_dataset |
b'What is prob of sequence hhmh when four letters picked without replacement from hmhhzcmcmzh?\n' | b'1/110\n' | b'What is prob of sequence hhmh when four letters picked without replacement from hmhhzcmcmzh?\n' | b'1/110\n' | deepmind/math_dataset |
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