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 o(n) = 5*n - 11. Let r(a) = 2*a - 5. Let c(f) = -4*o(f) + 9*r(f). Give c(-5).\n' | b'9\n' | b'Let o(n) = 5*n - 11. Let r(a) = 2*a - 5. Let c(f) = -4*o(f) + 9*r(f). Give c(-5).\n' | b'9\n' | deepmind/math_dataset |
b'Calculate prob of sequence tp when two letters picked without replacement from {a: 7, t: 2, p: 4, e: 1, d: 2}.\n' | b'1/30\n' | b'Calculate prob of sequence tp when two letters picked without replacement from {a: 7, t: 2, p: 4, e: 1, d: 2}.\n' | b'1/30\n' | deepmind/math_dataset |
b'Simplify (d**(-2/71)/d*d)/d*d**(2/3)*d**(3/17)*d**(-2/7) assuming d is positive.\n' | b'd**(-11932/25347)\n' | b'Simplify (d**(-2/71)/d*d)/d*d**(2/3)*d**(3/17)*d**(-2/7) assuming d is positive.\n' | b'd**(-11932/25347)\n' | deepmind/math_dataset |
b'Let c = 18840 - 18836. Solve 8 = -4*h + p - 11, 0 = -c*p - 4 for h.\n' | b'-5\n' | b'Let c = 18840 - 18836. Solve 8 = -4*h + p - 11, 0 = -c*p - 4 for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Let c be ((-24)/(-20))/((-1)/5). Let z be c*4/18*-3. Let p = 11085 + -11080. Solve p*k = -z*l - 31, k = 3*k + 2*l + 14 for k.\n' | b'-3\n' | b'Let c be ((-24)/(-20))/((-1)/5). Let z be c*4/18*-3. Let p = 11085 + -11080. Solve p*k = -z*l - 31, k = 3*k + 2*l + 14 for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (f*f/(f/(f/f**(-2)))*f**(-3/5)*(f*f/(((f**(-4)*f)/f*f)/f)*f)/(f*(f*f/f**(-1/3))/f))**(2/95) assuming f is positive.\n' | b'f**(242/1425)\n' | b'Simplify (f*f/(f/(f/f**(-2)))*f**(-3/5)*(f*f/(((f**(-4)*f)/f*f)/f)*f)/(f*(f*f/f**(-1/3))/f))**(2/95) assuming f is positive.\n' | b'f**(242/1425)\n' | deepmind/math_dataset |
b'What is prob of sequence er when two letters picked without replacement from {r: 1, e: 7}?\n' | b'1/8\n' | b'What is prob of sequence er when two letters picked without replacement from {r: 1, e: 7}?\n' | b'1/8\n' | deepmind/math_dataset |
b'Simplify (((p/p**(-1)*p*p**(-2/7))/(p**6/((p/p**(2/11)*p)/p)))**(-5/4))**(1/5) assuming p is positive.\n' | b'p**(95/154)\n' | b'Simplify (((p/p**(-1)*p*p**(-2/7))/(p**6/((p/p**(2/11)*p)/p)))**(-5/4))**(1/5) assuming p is positive.\n' | b'p**(95/154)\n' | deepmind/math_dataset |
b'What is prob of sequence vscy when four letters picked without replacement from {s: 7, c: 2, v: 1, m: 1, y: 3}?\n' | b'1/572\n' | b'What is prob of sequence vscy when four letters picked without replacement from {s: 7, c: 2, v: 1, m: 1, y: 3}?\n' | b'1/572\n' | deepmind/math_dataset |
b'Let d(j) = 2*j + 5. Let g be ((-2)/(-5))/(2/10). Let l = -5 - g. Let m(y) = 2*y + 10. Let z be m(l). Determine d(z).\n' | b'-3\n' | b'Let d(j) = 2*j + 5. Let g be ((-2)/(-5))/(2/10). Let l = -5 - g. Let m(y) = 2*y + 10. Let z be m(l). Determine d(z).\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i and 1 p when two letters picked without replacement from pppipiiiipii.\n' | b'35/66\n' | b'Calculate prob of picking 1 i and 1 p when two letters picked without replacement from pppipiiiipii.\n' | b'35/66\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {k: 2, n: 2, g: 1}.\n' | b'1/5\n' | b'Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {k: 2, n: 2, g: 1}.\n' | b'1/5\n' | deepmind/math_dataset |
b'What is prob of picking 2 h when two letters picked without replacement from {v: 2, e: 7, f: 1, y: 4, b: 4, h: 2}?\n' | b'1/190\n' | b'What is prob of picking 2 h when two letters picked without replacement from {v: 2, e: 7, f: 1, y: 4, b: 4, h: 2}?\n' | b'1/190\n' | deepmind/math_dataset |
b'Let a(z) be the second derivative of 7*z**5/20 - 37*z**3/6 - 3*z**2/2 - 15*z + 1. Find the second derivative of a(v) wrt v.\n' | b'42*v\n' | b'Let a(z) be the second derivative of 7*z**5/20 - 37*z**3/6 - 3*z**2/2 - 15*z + 1. Find the second derivative of a(v) wrt v.\n' | b'42*v\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 4, t: 1, f: 2, z: 1}. Give prob of picking 1 f and 3 g.\n' | b'4/35\n' | b'Four letters picked without replacement from {g: 4, t: 1, f: 2, z: 1}. Give prob of picking 1 f and 3 g.\n' | b'4/35\n' | deepmind/math_dataset |
b'Let f(t) = t**2 - 6*t + 3. Let y be f(8). Let s = -11 + y. Solve -3*w = -3*n + 3, 4*n = -w - s + 2 for w.\n' | b'-2\n' | b'Let f(t) = t**2 - 6*t + 3. Let y be f(8). Let s = -11 + y. Solve -3*w = -3*n + 3, 4*n = -w - s + 2 for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 5*i - 2 = 3*i. Let r = -3 + i. Let b(j) = 3*j**2 + 4*j - 1. Let v(a) = -5*a**2 - 7*a + 2. Let h(t) = 7*b(t) + 4*v(t). Calculate h(r).\n' | b'5\n' | b'Suppose 5*i - 2 = 3*i. Let r = -3 + i. Let b(j) = 3*j**2 + 4*j - 1. Let v(a) = -5*a**2 - 7*a + 2. Let h(t) = 7*b(t) + 4*v(t). Calculate h(r).\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from gokoonhnnngvkkvg. Give prob of sequence nghg.\n' | b'1/1820\n' | b'Four letters picked without replacement from gokoonhnnngvkkvg. Give prob of sequence nghg.\n' | b'1/1820\n' | deepmind/math_dataset |
b'Let j(y) = 9 - 39 + 5 + 20 - y. Give j(4).\n' | b'-9\n' | b'Let j(y) = 9 - 39 + 5 + 20 - y. Give j(4).\n' | b'-9\n' | deepmind/math_dataset |
b'Four letters picked without replacement from frzczrorfroc. Give prob of sequence rccz.\n' | b'2/1485\n' | b'Four letters picked without replacement from frzczrorfroc. Give prob of sequence rccz.\n' | b'2/1485\n' | deepmind/math_dataset |
b'Simplify ((s*s**(-6/11)*s)**7*s/(s/s**(2/9))*s**20)**(-46) assuming s is positive.\n' | b's**(-138460/99)\n' | b'Simplify ((s*s**(-6/11)*s)**7*s/(s/s**(2/9))*s**20)**(-46) assuming s is positive.\n' | b's**(-138460/99)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mbmmmmbmmmmmbm. Give prob of sequence bmbb.\n' | b'1/364\n' | b'Four letters picked without replacement from mbmmmmbmmmmmbm. Give prob of sequence bmbb.\n' | b'1/364\n' | deepmind/math_dataset |
b'What is prob of sequence xxxx when four letters picked without replacement from kxkxkjxkxjk?\n' | b'1/330\n' | b'What is prob of sequence xxxx when four letters picked without replacement from kxkxkjxkxjk?\n' | b'1/330\n' | deepmind/math_dataset |
b'Let h(j) = 8 - 5 + j - 4. Give h(-2).\n' | b'-3\n' | b'Let h(j) = 8 - 5 + j - 4. Give h(-2).\n' | b'-3\n' | deepmind/math_dataset |
b'Let x(k) = -10*k - 16. Let w(c) = -7*c - 11. Let g(h) = -7*w(h) + 5*x(h). Let f be g(-3). Let d = 3 - f. Solve -2*q - 19 = 3*q - 2*b, -d*q = 3*b + 3 for q.\n' | b'-3\n' | b'Let x(k) = -10*k - 16. Let w(c) = -7*c - 11. Let g(h) = -7*w(h) + 5*x(h). Let f be g(-3). Let d = 3 - f. Solve -2*q - 19 = 3*q - 2*b, -d*q = 3*b + 3 for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Let y(s) be the first derivative of 5*s**2/2 + 16*s - 286. Determine y(-3).\n' | b'1\n' | b'Let y(s) be the first derivative of 5*s**2/2 + 16*s - 286. Determine y(-3).\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -2*a + 7 = 1. Suppose 4*u - 136 = 5*m, a*u + 3 = -2*m - 33. Let p be ((-8)/m)/((-1)/(-6)). Solve 0 = 5*w + 20, -2*k + 0*w + p*w + 6 = 0 for k.\n' | b'-1\n' | b'Suppose -2*a + 7 = 1. Suppose 4*u - 136 = 5*m, a*u + 3 = -2*m - 33. Let p be ((-8)/m)/((-1)/(-6)). Solve 0 = 5*w + 20, -2*k + 0*w + p*w + 6 = 0 for k.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (((t*t**0/t)**(-6)/(t**(6/11)*t*(t*(t*t**(2/5))/t*t)/t))**(23/2))**14 assuming t is positive.\n' | b't**(-26082/55)\n' | b'Simplify (((t*t**0/t)**(-6)/(t**(6/11)*t*(t*(t*t**(2/5))/t*t)/t))**(23/2))**14 assuming t is positive.\n' | b't**(-26082/55)\n' | deepmind/math_dataset |
b'Let w(y) = -38*y**3 + 79*y**2 + 20*y - 5. Let m(o) = 75*o**3 - 159*o**2 - 36*o + 9. Let l(z) = -5*m(z) - 9*w(z). Find the third derivative of l(i) wrt i.\n' | b'-198\n' | b'Let w(y) = -38*y**3 + 79*y**2 + 20*y - 5. Let m(o) = 75*o**3 - 159*o**2 - 36*o + 9. Let l(z) = -5*m(z) - 9*w(z). Find the third derivative of l(i) wrt i.\n' | b'-198\n' | deepmind/math_dataset |
b'Let i = -11 - -21. Suppose -n + 6*n = i. What is the third derivative of 7*w**2 - w**2 - w**5 - 8*w**n wrt w?\n' | b'-60*w**2\n' | b'Let i = -11 - -21. Suppose -n + 6*n = i. What is the third derivative of 7*w**2 - w**2 - w**5 - 8*w**n wrt w?\n' | b'-60*w**2\n' | deepmind/math_dataset |
b'Simplify ((c**1*c**(-3))/(c**(-1)/c*c/(c**(1/3)/c*c)))**(2/27) assuming c is positive.\n' | b'c**(-4/81)\n' | b'Simplify ((c**1*c**(-3))/(c**(-1)/c*c/(c**(1/3)/c*c)))**(2/27) assuming c is positive.\n' | b'c**(-4/81)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 4, f: 2, w: 8}. Give prob of sequence qff.\n' | b'1/273\n' | b'Three letters picked without replacement from {q: 4, f: 2, w: 8}. Give prob of sequence qff.\n' | b'1/273\n' | deepmind/math_dataset |
b'What is prob of picking 1 y, 1 q, and 2 f when four letters picked without replacement from {y: 4, w: 4, f: 10, q: 1, n: 1}?\n' | b'12/323\n' | b'What is prob of picking 1 y, 1 q, and 2 f when four letters picked without replacement from {y: 4, w: 4, f: 10, q: 1, n: 1}?\n' | b'12/323\n' | deepmind/math_dataset |
b'Let v(w) = -15*w**2 - 5*w + 5. Let l(t) = 7*t**2 + 3*t - 2. Let q(b) = -5*l(b) - 2*v(b). Find the second derivative of q(c) wrt c.\n' | b'-10\n' | b'Let v(w) = -15*w**2 - 5*w + 5. Let l(t) = 7*t**2 + 3*t - 2. Let q(b) = -5*l(b) - 2*v(b). Find the second derivative of q(c) wrt c.\n' | b'-10\n' | deepmind/math_dataset |
b'Simplify (q*(q**1/q)/q*q*q)**(-5/3)/(q**0)**(-42) assuming q is positive.\n' | b'q**(-10/3)\n' | b'Simplify (q*(q**1/q)/q*q*q)**(-5/3)/(q**0)**(-42) assuming q is positive.\n' | b'q**(-10/3)\n' | deepmind/math_dataset |
b'Let j(s) = -s - 1. Let g be 2 + 1 - (-3)/1. Let r(d) = -d**2 + 6*d - 6. Let w be r(g). What is j(w)?\n' | b'5\n' | b'Let j(s) = -s - 1. Let g be 2 + 1 - (-3)/1. Let r(d) = -d**2 + 6*d - 6. Let w be r(g). What is j(w)?\n' | b'5\n' | deepmind/math_dataset |
b'Simplify m**(-5/3)*m**3*(m**(-1)*m)**25 assuming m is positive.\n' | b'm**(4/3)\n' | b'Simplify m**(-5/3)*m**3*(m**(-1)*m)**25 assuming m is positive.\n' | b'm**(4/3)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 8, l: 5}. What is prob of picking 4 w?\n' | b'14/143\n' | b'Four letters picked without replacement from {w: 8, l: 5}. What is prob of picking 4 w?\n' | b'14/143\n' | deepmind/math_dataset |
b'Let m be -4 + 3 + 1 + 14. What is the third derivative of m*q**5 + 8*q**5 - 25*q**6 - 22*q**5 - 36*q**2 wrt q?\n' | b'-3000*q**3\n' | b'Let m be -4 + 3 + 1 + 14. What is the third derivative of m*q**5 + 8*q**5 - 25*q**6 - 22*q**5 - 36*q**2 wrt q?\n' | b'-3000*q**3\n' | deepmind/math_dataset |
b'Simplify ((((j*j**(3/5))/j)/j)/((j**(-5)/j)/j*j*j)*(j/(j*j*j**(2/21)))/j*j/j**9)**(-11/7) assuming j is positive.\n' | b'j**(6347/735)\n' | b'Simplify ((((j*j**(3/5))/j)/j)/((j**(-5)/j)/j*j*j)*(j/(j*j*j**(2/21)))/j*j/j**9)**(-11/7) assuming j is positive.\n' | b'j**(6347/735)\n' | deepmind/math_dataset |
b'Suppose 5*o + 0*o + 11 = -c, 5*c + 4*o = 8. What is the third derivative of 14*a**c + 27*a + 6*a**2 + a**4 - 27*a wrt a?\n' | b'360*a\n' | b'Suppose 5*o + 0*o + 11 = -c, 5*c + 4*o = 8. What is the third derivative of 14*a**c + 27*a + 6*a**2 + a**4 - 27*a wrt a?\n' | b'360*a\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ddrdddrdddddrd. Give prob of picking 3 d and 1 r.\n' | b'45/91\n' | b'Four letters picked without replacement from ddrdddrdddddrd. Give prob of picking 3 d and 1 r.\n' | b'45/91\n' | deepmind/math_dataset |
b'Let i be 13/5 + 9/(-15). Suppose -i*l = -12 + 2. Solve l*k = -4*o - 2, 0 = 2*k + 3*o - 4*o + 6 for k.\n' | b'-2\n' | b'Let i be 13/5 + 9/(-15). Suppose -i*l = -12 + 2. Solve l*k = -4*o - 2, 0 = 2*k + 3*o - 4*o + 6 for k.\n' | b'-2\n' | deepmind/math_dataset |
b'Let j(t) be the second derivative of 3*t**3/2 - 5*t**2 - 5*t. What is the first derivative of j(f) wrt f?\n' | b'9\n' | b'Let j(t) be the second derivative of 3*t**3/2 - 5*t**2 - 5*t. What is the first derivative of j(f) wrt f?\n' | b'9\n' | deepmind/math_dataset |
b'Suppose -18 = -n - 14. Solve 0 = 3*w - 5*t + 1 + n, -4*t = 3*w - 4 for w.\n' | b'0\n' | b'Suppose -18 = -n - 14. Solve 0 = 3*w - 5*t + 1 + n, -4*t = 3*w - 4 for w.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((t*t**(-2))**(5/7))**(-22) assuming t is positive.\n' | b't**(110/7)\n' | b'Simplify ((t*t**(-2))**(5/7))**(-22) assuming t is positive.\n' | b't**(110/7)\n' | deepmind/math_dataset |
b'Simplify (((i**(2/3))**(11/3))**(-41))**(-2/109) assuming i is positive.\n' | b'i**(1804/981)\n' | b'Simplify (((i**(2/3))**(11/3))**(-41))**(-2/109) assuming i is positive.\n' | b'i**(1804/981)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t, 1 z, and 1 j when three letters picked without replacement from {w: 2, y: 2, t: 6, p: 3, j: 3, z: 2}.\n' | b'3/68\n' | b'Calculate prob of picking 1 t, 1 z, and 1 j when three letters picked without replacement from {w: 2, y: 2, t: 6, p: 3, j: 3, z: 2}.\n' | b'3/68\n' | deepmind/math_dataset |
b'Simplify ((o**(5/4)/o)/o)**(-4/5)*((o/o**(-6))/o)**(-13/3) assuming o is positive.\n' | b'o**(-127/5)\n' | b'Simplify ((o**(5/4)/o)/o)**(-4/5)*((o/o**(-6))/o)**(-13/3) assuming o is positive.\n' | b'o**(-127/5)\n' | deepmind/math_dataset |
b'What is prob of sequence eree when four letters picked without replacement from eeeerereeeereerrer?\n' | b'11/102\n' | b'What is prob of sequence eree when four letters picked without replacement from eeeerereeeereerrer?\n' | b'11/102\n' | deepmind/math_dataset |
b'Let g(v) = 2*v + 419. Let i(r) = -r - 205. Let h(o) = -3*g(o) - 7*i(o). Differentiate h(n) with respect to n.\n' | b'1\n' | b'Let g(v) = 2*v + 419. Let i(r) = -r - 205. Let h(o) = -3*g(o) - 7*i(o). Differentiate h(n) with respect to n.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from njjnnnqqn. Give prob of sequence jq.\n' | b'1/18\n' | b'Two letters picked without replacement from njjnnnqqn. Give prob of sequence jq.\n' | b'1/18\n' | deepmind/math_dataset |
b'Let r be (-1)/5 - (5 - (-456)/(-80)). Let w(f) be the second derivative of -7*f + 0 + f**3 - r*f**2. What is w(1)?\n' | b'5\n' | b'Let r be (-1)/5 - (5 - (-456)/(-80)). Let w(f) be the second derivative of -7*f + 0 + f**3 - r*f**2. What is w(1)?\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 6, n: 2, h: 3, b: 1, w: 6}. What is prob of picking 2 n?\n' | b'1/153\n' | b'Two letters picked without replacement from {g: 6, n: 2, h: 3, b: 1, w: 6}. What is prob of picking 2 n?\n' | b'1/153\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w and 1 y when three letters picked without replacement from yhbhwhbwyswhhh.\n' | b'3/182\n' | b'Calculate prob of picking 2 w and 1 y when three letters picked without replacement from yhbhwhbwyswhhh.\n' | b'3/182\n' | deepmind/math_dataset |
b'Let a(o) be the first derivative of -o**6/120 + 5*o**3/6 + 3*o**2/2 - 4. Let z(i) be the second derivative of a(i). Find the first derivative of z(p) wrt p.\n' | b'-3*p**2\n' | b'Let a(o) be the first derivative of -o**6/120 + 5*o**3/6 + 3*o**2/2 - 4. Let z(i) be the second derivative of a(i). Find the first derivative of z(p) wrt p.\n' | b'-3*p**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 s when three letters picked without replacement from sssssaasassaasssaas.\n' | b'220/969\n' | b'Calculate prob of picking 3 s when three letters picked without replacement from sssssaasassaasssaas.\n' | b'220/969\n' | deepmind/math_dataset |
b'Let h(g) be the second derivative of g**7/14 + 29*g**4/2 - g**3/6 - 140*g**2 + 1347*g. Find the second derivative of h(u) wrt u.\n' | b'60*u**3 + 348\n' | b'Let h(g) be the second derivative of g**7/14 + 29*g**4/2 - g**3/6 - 140*g**2 + 1347*g. Find the second derivative of h(u) wrt u.\n' | b'60*u**3 + 348\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s and 3 y when four letters picked without replacement from {y: 9, v: 1, s: 10}.\n' | b'56/323\n' | b'Calculate prob of picking 1 s and 3 y when four letters picked without replacement from {y: 9, v: 1, s: 10}.\n' | b'56/323\n' | deepmind/math_dataset |
b'Simplify ((i**(-2/9)/i)**(2/15))**(-44)*(i**5/i*i*i)/i*i**(-1/4)*i*i**(-2/11)*i*i*i**(4/5) assuming i is positive.\n' | b'i**(92299/5940)\n' | b'Simplify ((i**(-2/9)/i)**(2/15))**(-44)*(i**5/i*i*i)/i*i**(-1/4)*i*i**(-2/11)*i*i*i**(4/5) assuming i is positive.\n' | b'i**(92299/5940)\n' | deepmind/math_dataset |
b'Let n(q) = q**2 - 3*q - 2. Let o = -416 + 420. Give n(o).\n' | b'2\n' | b'Let n(q) = q**2 - 3*q - 2. Let o = -416 + 420. Give n(o).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence kk when two letters picked without replacement from {t: 1, k: 2, n: 4}?\n' | b'1/21\n' | b'What is prob of sequence kk when two letters picked without replacement from {t: 1, k: 2, n: 4}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (x**(1/8)/x)**(-6) assuming x is positive.\n' | b'x**(21/4)\n' | b'Simplify (x**(1/8)/x)**(-6) assuming x is positive.\n' | b'x**(21/4)\n' | deepmind/math_dataset |
b'Suppose -12*c = -9*c + 81. Let v be 21/2*(-18)/c. Let f(d) = -1 + d + 0 - 5. Give f(v).\n' | b'1\n' | b'Suppose -12*c = -9*c + 81. Let v be 21/2*(-18)/c. Let f(d) = -1 + d + 0 - 5. Give f(v).\n' | b'1\n' | deepmind/math_dataset |
b'Let y(z) = -z**2 - 10*z + 2. Let h = 23 - 33. Let i be y(h). What is the third derivative of x**i + 120 - 120 + 11*x**4 wrt x?\n' | b'264*x\n' | b'Let y(z) = -z**2 - 10*z + 2. Let h = 23 - 33. Let i be y(h). What is the third derivative of x**i + 120 - 120 + 11*x**4 wrt x?\n' | b'264*x\n' | deepmind/math_dataset |
b'Let f(v) be the second derivative of -v**7/168 + v**5/120 + 2*v**3/3 - 2*v. Let m(g) be the second derivative of f(g). Find the second derivative of m(s) wrt s.\n' | b'-30*s\n' | b'Let f(v) be the second derivative of -v**7/168 + v**5/120 + 2*v**3/3 - 2*v. Let m(g) be the second derivative of f(g). Find the second derivative of m(s) wrt s.\n' | b'-30*s\n' | deepmind/math_dataset |
b'Let y(a) = 35*a - 6. Let j(q) = -17*q + 3. Let p(f) = 13*j(f) + 6*y(f). Determine p(2).\n' | b'-19\n' | b'Let y(a) = 35*a - 6. Let j(q) = -17*q + 3. Let p(f) = 13*j(f) + 6*y(f). Determine p(2).\n' | b'-19\n' | deepmind/math_dataset |
b'Let o(g) = -7*g. Let x be o(3). Let i = -14 - x. Find the first derivative of -4 + m**2 + 0*m**3 + i*m**3 - m**2 wrt m.\n' | b'21*m**2\n' | b'Let o(g) = -7*g. Let x be o(3). Let i = -14 - x. Find the first derivative of -4 + m**2 + 0*m**3 + i*m**3 - m**2 wrt m.\n' | b'21*m**2\n' | deepmind/math_dataset |
b'Simplify (r/(r**(4/3)/r)*r*r**(-3)*(r**(-8)*r)/(r*r**(6/7)*r*r*r*r))**(-1/78) assuming r is positive.\n' | b'r**(149/819)\n' | b'Simplify (r/(r**(4/3)/r)*r*r**(-3)*(r**(-8)*r)/(r*r**(6/7)*r*r*r*r))**(-1/78) assuming r is positive.\n' | b'r**(149/819)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f and 2 r when three letters picked without replacement from {f: 2, r: 2, j: 3, e: 2, n: 4}.\n' | b'1/143\n' | b'Calculate prob of picking 1 f and 2 r when three letters picked without replacement from {f: 2, r: 2, j: 3, e: 2, n: 4}.\n' | b'1/143\n' | deepmind/math_dataset |
b'Let u(p) = -p**2 + 16*p - 2. Let v(i) = -21*i**2 - i + 16. Let a be v(0). Give u(a).\n' | b'-2\n' | b'Let u(p) = -p**2 + 16*p - 2. Let v(i) = -21*i**2 - i + 16. Let a be v(0). Give u(a).\n' | b'-2\n' | deepmind/math_dataset |
b'What is the second derivative of 11 + 8*g**2 - 8 + g - 3 wrt g?\n' | b'16\n' | b'What is the second derivative of 11 + 8*g**2 - 8 + g - 3 wrt g?\n' | b'16\n' | deepmind/math_dataset |
b'Simplify k**(-2/7)/k**(2/7) assuming k is positive.\n' | b'k**(-4/7)\n' | b'Simplify k**(-2/7)/k**(2/7) assuming k is positive.\n' | b'k**(-4/7)\n' | deepmind/math_dataset |
b'Simplify (((b/(b*((b*((b*b/b**(1/3))/b)/b)/b)/b)*b)/(b**(-3/13)/b))**(-36))**(-12) assuming b is positive.\n' | b'b**(20016/13)\n' | b'Simplify (((b/(b*((b*((b*b/b**(1/3))/b)/b)/b)/b)*b)/(b**(-3/13)/b))**(-36))**(-12) assuming b is positive.\n' | b'b**(20016/13)\n' | deepmind/math_dataset |
b'Simplify (l/l**(-1/2))**(-46)/(l**(-2/3))**(-24/5)*(l**0)**(-28)/(l/(l*l**(1/4)))**(7/8) assuming l is positive.\n' | b'l**(-11517/160)\n' | b'Simplify (l/l**(-1/2))**(-46)/(l**(-2/3))**(-24/5)*(l**0)**(-28)/(l/(l*l**(1/4)))**(7/8) assuming l is positive.\n' | b'l**(-11517/160)\n' | deepmind/math_dataset |
b'Let d = 2 - 2. Suppose d = -x - 3*x + 12. Differentiate 4*s**3 + 10 - x*s**3 - 5 with respect to s.\n' | b'3*s**2\n' | b'Let d = 2 - 2. Suppose d = -x - 3*x + 12. Differentiate 4*s**3 + 10 - x*s**3 - 5 with respect to s.\n' | b'3*s**2\n' | deepmind/math_dataset |
b'Let g(p) be the third derivative of -p**6/120 + p**5/10 + p**4/24 - p**3/2 - p**2. Let o be g(6). Solve -5*l - 5 = -5*b, 2*l - o*l + 9 = b for b.\n' | b'5\n' | b'Let g(p) be the third derivative of -p**6/120 + p**5/10 + p**4/24 - p**3/2 - p**2. Let o be g(6). Solve -5*l - 5 = -5*b, 2*l - o*l + 9 = b for b.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (p/(p/(p/p**1)*p)*p)**(3/8)/(p**(-1/5)/(p**(-1/5)/p*p)) assuming p is positive.\n' | b'1\n' | b'Simplify (p/(p/(p/p**1)*p)*p)**(3/8)/(p**(-1/5)/(p**(-1/5)/p*p)) assuming p is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 2*f - 5*o = 259 - 45, 137 = f + 5*o. Suppose 4*x + b - f = 0, -2*x - 6*b = -4*b - 66. Solve 5*n - 8 = 4*g, -4*g + 3*n - 7*n = -x for g.\n' | b'3\n' | b'Suppose 2*f - 5*o = 259 - 45, 137 = f + 5*o. Suppose 4*x + b - f = 0, -2*x - 6*b = -4*b - 66. Solve 5*n - 8 = 4*g, -4*g + 3*n - 7*n = -x for g.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 1 n and 1 e when two letters picked without replacement from {n: 14, e: 1}?\n' | b'2/15\n' | b'What is prob of picking 1 n and 1 e when two letters picked without replacement from {n: 14, e: 1}?\n' | b'2/15\n' | deepmind/math_dataset |
b'What is prob of sequence xb when two letters picked without replacement from ppkckbbkxpv?\n' | b'1/55\n' | b'What is prob of sequence xb when two letters picked without replacement from ppkckbbkxpv?\n' | b'1/55\n' | deepmind/math_dataset |
b'Let q(i) = -30*i - 94 + 32*i**2 + 36 + 35 - i**3. Let z be q(31). Let o(j) = j - 18. Calculate o(z).\n' | b'-10\n' | b'Let q(i) = -30*i - 94 + 32*i**2 + 36 + 35 - i**3. Let z be q(31). Let o(j) = j - 18. Calculate o(z).\n' | b'-10\n' | deepmind/math_dataset |
b'Simplify (t/(t/(t*((t/(t*t**(-2/9))*t)/t)/t))*t**(1/4))/(t**1*t/t**(5/2)*t)*t*t**(-5/4)/t*t*t**(-3/2)*t*t*t**(2/27)/(t/(t*t*t**7)) assuming t is positive.\n' | b't**(224/27)\n' | b'Simplify (t/(t/(t*((t/(t*t**(-2/9))*t)/t)/t))*t**(1/4))/(t**1*t/t**(5/2)*t)*t*t**(-5/4)/t*t*t**(-3/2)*t*t*t**(2/27)/(t/(t*t*t**7)) assuming t is positive.\n' | b't**(224/27)\n' | deepmind/math_dataset |
b'Simplify ((b**(-1/4)*b)**47*(b**(1/4))**(3/11))/(b**6*b**(-9/4))**(2/3) assuming b is positive.\n' | b'b**(361/11)\n' | b'Simplify ((b**(-1/4)*b)**47*(b**(1/4))**(3/11))/(b**6*b**(-9/4))**(2/3) assuming b is positive.\n' | b'b**(361/11)\n' | deepmind/math_dataset |
b'Let y = 13 + -8. Let q(n) = 2*n - 7. Let d be q(y). Suppose -3*h + 2*h = d*i + 11, 2*i = -2*h - 6. Let w(a) = -a**3 - 5*a**2 - 6*a - 2. What is w(i)?\n' | b'6\n' | b'Let y = 13 + -8. Let q(n) = 2*n - 7. Let d be q(y). Suppose -3*h + 2*h = d*i + 11, 2*i = -2*h - 6. Let w(a) = -a**3 - 5*a**2 - 6*a - 2. What is w(i)?\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of sequence rrp when three letters picked without replacement from rprrprrpppprp?\n' | b'35/286\n' | b'What is prob of sequence rrp when three letters picked without replacement from rprrprrpppprp?\n' | b'35/286\n' | deepmind/math_dataset |
b'Let v be 168/44 - 2/(-11). Suppose -g = -v*t + 1, 3*t + 0 = 3. Solve 0 = -3*p + s + 7, -2*s - g = 5 for p.\n' | b'1\n' | b'Let v be 168/44 - 2/(-11). Suppose -g = -v*t + 1, 3*t + 0 = 3. Solve 0 = -3*p + s + 7, -2*s - g = 5 for p.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((n*((((n*n**(-5))/n)/n)/n)/n)/n*n/(n**(1/10)*n))/((n*n/n**6)/((n/(n**3/n))/n)) assuming n is positive.\n' | b'n**(-61/10)\n' | b'Simplify ((n*((((n*n**(-5))/n)/n)/n)/n)/n*n/(n**(1/10)*n))/((n*n/n**6)/((n/(n**3/n))/n)) assuming n is positive.\n' | b'n**(-61/10)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from etssstsstiiziszei. What is prob of sequence eii?\n' | b'1/170\n' | b'Three letters picked without replacement from etssstsstiiziszei. What is prob of sequence eii?\n' | b'1/170\n' | deepmind/math_dataset |
b'Three letters picked without replacement from duuufrfduuuuu. What is prob of picking 2 f and 1 u?\n' | b'4/143\n' | b'Three letters picked without replacement from duuufrfduuuuu. What is prob of picking 2 f and 1 u?\n' | b'4/143\n' | deepmind/math_dataset |
b'Suppose 35 = -21*b + 77. Solve -2*y = -q, -5*y + 3*q = b - 1 for y.\n' | b'1\n' | b'Suppose 35 = -21*b + 77. Solve -2*y = -q, -5*y + 3*q = b - 1 for y.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((h/((h/h**(2/15))/h))/h**0)**(-12) assuming h is positive.\n' | b'h**(-68/5)\n' | b'Simplify ((h/((h/h**(2/15))/h))/h**0)**(-12) assuming h is positive.\n' | b'h**(-68/5)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 1, r: 1, o: 3}. What is prob of sequence oroo?\n' | b'1/20\n' | b'Four letters picked without replacement from {k: 1, r: 1, o: 3}. What is prob of sequence oroo?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let u = -179 - -906. Let g = -722 + u. Solve -2*y + x = -g*y - 12, 0 = -2*y - 3*x - 15 for y.\n' | b'-3\n' | b'Let u = -179 - -906. Let g = -722 + u. Solve -2*y + x = -g*y - 12, 0 = -2*y - 3*x - 15 for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 6, h: 6}. Give prob of sequence gggg.\n' | b'1/33\n' | b'Four letters picked without replacement from {g: 6, h: 6}. Give prob of sequence gggg.\n' | b'1/33\n' | deepmind/math_dataset |
b'Let n(m) be the third derivative of -17*m**8/112 + 4*m**7/105 + m**4/24 - 171*m**3/2 - 77*m**2. Find the second derivative of n(r) wrt r.\n' | b'-1020*r**3 + 96*r**2\n' | b'Let n(m) be the third derivative of -17*m**8/112 + 4*m**7/105 + m**4/24 - 171*m**3/2 - 77*m**2. Find the second derivative of n(r) wrt r.\n' | b'-1020*r**3 + 96*r**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence xmxu when four letters picked without replacement from {x: 2, m: 1, u: 7}.\n' | b'1/360\n' | b'Calculate prob of sequence xmxu when four letters picked without replacement from {x: 2, m: 1, u: 7}.\n' | b'1/360\n' | deepmind/math_dataset |
b'Simplify (u/(u**(2/27)*u))**15 assuming u is positive.\n' | b'u**(-10/9)\n' | b'Simplify (u/(u**(2/27)*u))**15 assuming u is positive.\n' | b'u**(-10/9)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ee when two letters picked without replacement from oeeeeeee.\n' | b'3/4\n' | b'Calculate prob of sequence ee when two letters picked without replacement from oeeeeeee.\n' | b'3/4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 2, u: 3, t: 3, p: 2, v: 3, n: 1}. What is prob of picking 2 v and 1 t?\n' | b'9/364\n' | b'Three letters picked without replacement from {g: 2, u: 3, t: 3, p: 2, v: 3, n: 1}. What is prob of picking 2 v and 1 t?\n' | b'9/364\n' | deepmind/math_dataset |
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