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 n(f) = -8*f + 42. Let l be n(4). Suppose -4 = 3*p - l. Solve m - 1 = p*i, -4*i - 4*m + 5*m = -1 for i.\n' | b'1\n' | b'Let n(f) = -8*f + 42. Let l be n(4). Suppose -4 = 3*p - l. Solve m - 1 = p*i, -4*i - 4*m + 5*m = -1 for i.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 z and 2 k when four letters picked without replacement from {k: 3, z: 13}.\n' | b'9/70\n' | b'Calculate prob of picking 2 z and 2 k when four letters picked without replacement from {k: 3, z: 13}.\n' | b'9/70\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fffrffffh. Give prob of picking 2 f.\n' | b'7/12\n' | b'Two letters picked without replacement from fffrffffh. Give prob of picking 2 f.\n' | b'7/12\n' | deepmind/math_dataset |
b'Let m(v) = -2*v + 3. Let p(r) = -32*r + 190. Let c(f) = -4*m(f) + p(f). Determine c(8).\n' | b'-14\n' | b'Let m(v) = -2*v + 3. Let p(r) = -32*r + 190. Let c(f) = -4*m(f) + p(f). Determine c(8).\n' | b'-14\n' | deepmind/math_dataset |
b'Let n = 4 + -11. Let y = n + 10. Suppose -3*u + 3*v = -36, 2*v = -3*v + 5. Solve 7*i = x + 4*i + 14, y*x + 2*i = u for x.\n' | b'1\n' | b'Let n = 4 + -11. Let y = n + 10. Suppose -3*u + 3*v = -36, 2*v = -3*v + 5. Solve 7*i = x + 4*i + 14, y*x + 2*i = u for x.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fflfflllpppzl. Give prob of sequence lz.\n' | b'5/156\n' | b'Two letters picked without replacement from fflfflllpppzl. Give prob of sequence lz.\n' | b'5/156\n' | deepmind/math_dataset |
b'Suppose 0 = v + 3*y + 4, -2*v + 8 = -5*y + 3*y. Suppose -5*u - 13 = -3*l, -2*u + 3 - 9 = -2*l. What is the derivative of l + 1 + 6*f**2 - 4*f**v wrt f?\n' | b'4*f\n' | b'Suppose 0 = v + 3*y + 4, -2*v + 8 = -5*y + 3*y. Suppose -5*u - 13 = -3*l, -2*u + 3 - 9 = -2*l. What is the derivative of l + 1 + 6*f**2 - 4*f**v wrt f?\n' | b'4*f\n' | deepmind/math_dataset |
b'Three letters picked without replacement from llrkyyfyyfylylklyr. What is prob of sequence ryk?\n' | b'7/1224\n' | b'Three letters picked without replacement from llrkyyfyyfylylklyr. What is prob of sequence ryk?\n' | b'7/1224\n' | deepmind/math_dataset |
b'Let o(r) = -9*r - 14*r + 76 - 15*r + 41*r - 13*r. What is o(8)?\n' | b'-4\n' | b'Let o(r) = -9*r - 14*r + 76 - 15*r + 41*r - 13*r. What is o(8)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let f = -769 + 773. Let c(r) be the third derivative of 0 + 1/24*r**4 - 1/6*r**3 + 4*r**2 + 0*r. What is c(f)?\n' | b'3\n' | b'Let f = -769 + 773. Let c(r) be the third derivative of 0 + 1/24*r**4 - 1/6*r**3 + 4*r**2 + 0*r. What is c(f)?\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((t**(-4/3)*t)/t**(-3/5))**(1/8)*((t**(-5)*t)/t**(-1/4))/(t**(-1))**37 assuming t is positive.\n' | b't**(1997/60)\n' | b'Simplify ((t**(-4/3)*t)/t**(-3/5))**(1/8)*((t**(-5)*t)/t**(-1/4))/(t**(-1))**37 assuming t is positive.\n' | b't**(1997/60)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cxxxpxxccxxccccxuc. Give prob of picking 1 u and 1 c.\n' | b'8/153\n' | b'Two letters picked without replacement from cxxxpxxccxxccccxuc. Give prob of picking 1 u and 1 c.\n' | b'8/153\n' | deepmind/math_dataset |
b'Suppose 7*m - 24 = -5*m. Suppose 2*a = -3*g - 2*a + 14, 2*g + m = 3*a. Solve -u + 4*c = u + g, 5*c = u + 7 for u.\n' | b'3\n' | b'Suppose 7*m - 24 = -5*m. Suppose 2*a = -3*g - 2*a + 14, 2*g + m = 3*a. Solve -u + 4*c = u + g, 5*c = u + 7 for u.\n' | b'3\n' | deepmind/math_dataset |
b'Let x(g) = -g - 10. Let y be x(-14). Suppose -y*u + 12 = -2*u. Find the third derivative of 2*f**6 - 3*f**6 + 4*f**u - f**2 - 7*f**6 wrt f.\n' | b'-480*f**3\n' | b'Let x(g) = -g - 10. Let y be x(-14). Suppose -y*u + 12 = -2*u. Find the third derivative of 2*f**6 - 3*f**6 + 4*f**u - f**2 - 7*f**6 wrt f.\n' | b'-480*f**3\n' | deepmind/math_dataset |
b'Simplify ((t/(((t/((t**(-14)/t)/t*t))/t)/t)*t*t*t**(-8))/(t/(t**(-1)/t*t))**12)**(-13/3) assuming t is positive.\n' | b't**(559/3)\n' | b'Simplify ((t/(((t/((t**(-14)/t)/t*t))/t)/t)*t*t*t**(-8))/(t/(t**(-1)/t*t))**12)**(-13/3) assuming t is positive.\n' | b't**(559/3)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xlxddddxdxx. What is prob of picking 1 x and 1 l?\n' | b'1/11\n' | b'Two letters picked without replacement from xlxddddxdxx. What is prob of picking 1 x and 1 l?\n' | b'1/11\n' | deepmind/math_dataset |
b'Suppose m = 41*y - 30*y - 20, 3*m - 6 = 0. Solve -v + 49 = y*c + 41, -3*c = -12 for v.\n' | b'0\n' | b'Suppose m = 41*y - 30*y - 20, 3*m - 6 = 0. Solve -v + 49 = y*c + 41, -3*c = -12 for v.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (((m**(-2/5)*m)/m)**(-1)*(m**(-1)*m)**45)**(-6) assuming m is positive.\n' | b'm**(-12/5)\n' | b'Simplify (((m**(-2/5)*m)/m)**(-1)*(m**(-1)*m)**45)**(-6) assuming m is positive.\n' | b'm**(-12/5)\n' | deepmind/math_dataset |
b'Simplify (f**(1/24)*f**14)**(-14) assuming f is positive.\n' | b'f**(-2359/12)\n' | b'Simplify (f**(1/24)*f**14)**(-14) assuming f is positive.\n' | b'f**(-2359/12)\n' | deepmind/math_dataset |
b'Suppose 0 = 5*o + 5, b + 30*o - 34*o - 14 = 0. Solve 8*f + 3*l = b*f - 7, 0 = -2*l - 2 for f.\n' | b'2\n' | b'Suppose 0 = 5*o + 5, b + 30*o - 34*o - 14 = 0. Solve 8*f + 3*l = b*f - 7, 0 = -2*l - 2 for f.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 1, v: 2, x: 2}. Give prob of picking 1 x and 2 v.\n' | b'1/5\n' | b'Three letters picked without replacement from {g: 1, v: 2, x: 2}. Give prob of picking 1 x and 2 v.\n' | b'1/5\n' | deepmind/math_dataset |
b'Simplify (o**(3/13)/o**(-4/9)*o/(o*o**(2/31))*((o/(o**(-3)*o))/o)/o*o)**(-40/3) assuming o is positive.\n' | b'o**(-378760/10881)\n' | b'Simplify (o**(3/13)/o**(-4/9)*o/(o*o**(2/31))*((o/(o**(-3)*o))/o)/o*o)**(-40/3) assuming o is positive.\n' | b'o**(-378760/10881)\n' | deepmind/math_dataset |
b'Let t(w) = w**3 + 5*w**2 + 4*w + 6. Let z be t(-4). What is the first derivative of 2 - z - 108*l + 108*l - 8*l**3 wrt l?\n' | b'-24*l**2\n' | b'Let t(w) = w**3 + 5*w**2 + 4*w + 6. Let z be t(-4). What is the first derivative of 2 - z - 108*l + 108*l - 8*l**3 wrt l?\n' | b'-24*l**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence hu when two letters picked without replacement from {u: 9, q: 3, a: 1, h: 6}.\n' | b'3/19\n' | b'Calculate prob of sequence hu when two letters picked without replacement from {u: 9, q: 3, a: 1, h: 6}.\n' | b'3/19\n' | deepmind/math_dataset |
b'Let s = 23 + -23. Let n(p) be the third derivative of s*p**4 + 1/12*p**5 + 5*p**2 + 0 + 1/2*p**3 + 0*p. Differentiate n(d) with respect to d.\n' | b'10*d\n' | b'Let s = 23 + -23. Let n(p) be the third derivative of s*p**4 + 1/12*p**5 + 5*p**2 + 0 + 1/2*p**3 + 0*p. Differentiate n(d) with respect to d.\n' | b'10*d\n' | deepmind/math_dataset |
b'Let l = -6 + 10. Solve -2*k + 14 = 5*g, -3*g + g = l*k + 4 for k.\n' | b'-3\n' | b'Let l = -6 + 10. Solve -2*k + 14 = 5*g, -3*g + g = l*k + 4 for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Let h = 10 + -5. Let v be (-2)/(1/(3/(-2))). Solve -h*j = -v*k - 2 - 2, 5*k + 5*j - 20 = 0 for k.\n' | b'2\n' | b'Let h = 10 + -5. Let v be (-2)/(1/(3/(-2))). Solve -h*j = -v*k - 2 - 2, 5*k + 5*j - 20 = 0 for k.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -146 + 94 = -4*p. Suppose p = 3*d + 31*b - 32*b, 5*d = -5*b - 5. Solve -20 = 2*f - 5*z, -d*z = 2*f - 0 + 4 for f.\n' | b'-5\n' | b'Suppose -146 + 94 = -4*p. Suppose p = 3*d + 31*b - 32*b, 5*d = -5*b - 5. Solve -20 = 2*f - 5*z, -d*z = 2*f - 0 + 4 for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mltbmbmbbbblbbmt. What is prob of picking 1 m, 1 b, and 1 l?\n' | b'4/35\n' | b'Three letters picked without replacement from mltbmbmbbbblbbmt. What is prob of picking 1 m, 1 b, and 1 l?\n' | b'4/35\n' | deepmind/math_dataset |
b'Simplify ((j**(2/3))**(-26)/(j**(-1/3))**(-16))/(((j*j**(3/4))/j)/j**(2/5)*j**0*j*(j**0*j)/j) assuming j is positive.\n' | b'j**(-1441/60)\n' | b'Simplify ((j**(2/3))**(-26)/(j**(-1/3))**(-16))/(((j*j**(3/4))/j)/j**(2/5)*j**0*j*(j**0*j)/j) assuming j is positive.\n' | b'j**(-1441/60)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 5, w: 1, v: 1, b: 2, r: 3}. Give prob of sequence vyy.\n' | b'1/66\n' | b'Three letters picked without replacement from {y: 5, w: 1, v: 1, b: 2, r: 3}. Give prob of sequence vyy.\n' | b'1/66\n' | deepmind/math_dataset |
b'Let o(x) be the first derivative of 3*x**2/2 + 128. Give o(-1).\n' | b'-3\n' | b'Let o(x) be the first derivative of 3*x**2/2 + 128. Give o(-1).\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 25 = 4*c + c. Let b(v) be the second derivative of 0*v**2 + 1/20*v**c + 0*v**3 + v + 0 + 1/6*v**4. What is the third derivative of b(u) wrt u?\n' | b'6\n' | b'Suppose 25 = 4*c + c. Let b(v) be the second derivative of 0*v**2 + 1/20*v**c + 0*v**3 + v + 0 + 1/6*v**4. What is the third derivative of b(u) wrt u?\n' | b'6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from dgggddgggggogudgd. Give prob of sequence dddd.\n' | b'1/476\n' | b'Four letters picked without replacement from dgggddgggggogudgd. Give prob of sequence dddd.\n' | b'1/476\n' | deepmind/math_dataset |
b'Let z(i) = 3*i**3 + 8*i**2 - 5*i - 22. Let t(m) = 29*m**3 + 71*m**2 - 45*m - 200. Let a(s) = -2*t(s) + 19*z(s). What is a(8)?\n' | b'70\n' | b'Let z(i) = 3*i**3 + 8*i**2 - 5*i - 22. Let t(m) = 29*m**3 + 71*m**2 - 45*m - 200. Let a(s) = -2*t(s) + 19*z(s). What is a(8)?\n' | b'70\n' | deepmind/math_dataset |
b'Calculate prob of sequence wiiw when four letters picked without replacement from {w: 8, i: 5}.\n' | b'28/429\n' | b'Calculate prob of sequence wiiw when four letters picked without replacement from {w: 8, i: 5}.\n' | b'28/429\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 8, q: 4, c: 3, f: 2}. Give prob of sequence ffq.\n' | b'1/510\n' | b'Three letters picked without replacement from {h: 8, q: 4, c: 3, f: 2}. Give prob of sequence ffq.\n' | b'1/510\n' | deepmind/math_dataset |
b'Let t be 7 + (-8)/(56/35). Differentiate -37944*n - 35 + 35*n**t + 37944*n with respect to n.\n' | b'70*n\n' | b'Let t be 7 + (-8)/(56/35). Differentiate -37944*n - 35 + 35*n**t + 37944*n with respect to n.\n' | b'70*n\n' | deepmind/math_dataset |
b'Let j(z) = z**3 + 10*z**2 + 9*z + 4. Let l be j(-9). Find the second derivative of 7*v**l - 3*v - 11*v**4 + 0*v wrt v.\n' | b'-48*v**2\n' | b'Let j(z) = z**3 + 10*z**2 + 9*z + 4. Let l be j(-9). Find the second derivative of 7*v**l - 3*v - 11*v**4 + 0*v wrt v.\n' | b'-48*v**2\n' | deepmind/math_dataset |
b'What is prob of sequence fo when two letters picked without replacement from ofonpuhhhopn?\n' | b'1/44\n' | b'What is prob of sequence fo when two letters picked without replacement from ofonpuhhhopn?\n' | b'1/44\n' | deepmind/math_dataset |
b'Let z = -11 - -19. Let t(x) = -3 + 6*x + 0*x**3 + x**3 + 6*x**2 + z - 12*x. Determine t(-7).\n' | b'-2\n' | b'Let z = -11 - -19. Let t(x) = -3 + 6*x + 0*x**3 + x**3 + 6*x**2 + z - 12*x. Determine t(-7).\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 3, g: 4}. What is prob of sequence vgvv?\n' | b'1/35\n' | b'Four letters picked without replacement from {v: 3, g: 4}. What is prob of sequence vgvv?\n' | b'1/35\n' | deepmind/math_dataset |
b'Simplify (u**(2/5))**(-8)/(u**(-1/3))**(-3) assuming u is positive.\n' | b'u**(-21/5)\n' | b'Simplify (u**(2/5))**(-8)/(u**(-1/3))**(-3) assuming u is positive.\n' | b'u**(-21/5)\n' | deepmind/math_dataset |
b'Simplify ((t**1)**40)**(-4/5)/(t**(-2)/(t**(-1)/t))**(-1/15) assuming t is positive.\n' | b't**(-32)\n' | b'Simplify ((t**1)**40)**(-4/5)/(t**(-2)/(t**(-1)/t))**(-1/15) assuming t is positive.\n' | b't**(-32)\n' | deepmind/math_dataset |
b'Suppose -23 = 5*b + 2*a, -1 = -b - 0*b + a. Let r(v) = v**3 + 4*v**2 + 2*v + 3. Give r(b).\n' | b'6\n' | b'Suppose -23 = 5*b + 2*a, -1 = -b - 0*b + a. Let r(v) = v**3 + 4*v**2 + 2*v + 3. Give r(b).\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of sequence pnh when three letters picked without replacement from hhcnphhhw.\n' | b'5/504\n' | b'Calculate prob of sequence pnh when three letters picked without replacement from hhcnphhhw.\n' | b'5/504\n' | deepmind/math_dataset |
b'What is prob of picking 2 k when two letters picked without replacement from {k: 2, q: 8}?\n' | b'1/45\n' | b'What is prob of picking 2 k when two letters picked without replacement from {k: 2, q: 8}?\n' | b'1/45\n' | deepmind/math_dataset |
b'Suppose -l - 2 = -5. Suppose 2*y - 5*y + 3 = 3*o, 0 = 2*y + l*o - 3. Solve -2*s - 22 = -4*a, 3*a + y*a = 3*s + 24 for a.\n' | b'3\n' | b'Suppose -l - 2 = -5. Suppose 2*y - 5*y + 3 = 3*o, 0 = 2*y + l*o - 3. Solve -2*s - 22 = -4*a, 3*a + y*a = 3*s + 24 for a.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 1 h when two letters picked without replacement from {p: 1, z: 2, v: 2, d: 2, b: 3, h: 2}.\n' | b'2/33\n' | b'Calculate prob of picking 1 v and 1 h when two letters picked without replacement from {p: 1, z: 2, v: 2, d: 2, b: 3, h: 2}.\n' | b'2/33\n' | deepmind/math_dataset |
b'Let g = -10 + 18. Let c(d) be the second derivative of -d**5/20 + 7*d**4/12 + 4*d**3/3 + d. Let s be c(g). Solve 5*h - 5*n + 12 = 2, -5*n - 10 = s for h.\n' | b'-4\n' | b'Let g = -10 + 18. Let c(d) be the second derivative of -d**5/20 + 7*d**4/12 + 4*d**3/3 + d. Let s be c(g). Solve 5*h - 5*n + 12 = 2, -5*n - 10 = s for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (s/((s/(s/(((s/s**(-18/11))/s)/s*s)))/s*s*s))/s**(1/6) assuming s is positive.\n' | b's**(-119/66)\n' | b'Simplify (s/((s/(s/(((s/s**(-18/11))/s)/s*s)))/s*s*s))/s**(1/6) assuming s is positive.\n' | b's**(-119/66)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 4, d: 1, k: 7, u: 6}. What is prob of picking 1 x and 1 d?\n' | b'4/153\n' | b'Two letters picked without replacement from {x: 4, d: 1, k: 7, u: 6}. What is prob of picking 1 x and 1 d?\n' | b'4/153\n' | deepmind/math_dataset |
b'Let p be 168/(-18)*-3*2. Let w be p/10 + (-32)/(-80). Let d(f) = -4*f - 1. Let n(v) = v + 1. Let s(r) = -d(r) - 3*n(r). Give s(w).\n' | b'4\n' | b'Let p be 168/(-18)*-3*2. Let w be p/10 + (-32)/(-80). Let d(f) = -4*f - 1. Let n(v) = v + 1. Let s(r) = -d(r) - 3*n(r). Give s(w).\n' | b'4\n' | deepmind/math_dataset |
b'Let l = 9 - 9. Let h(w) = -w - w + 1 + w**2 + l. Suppose a = 4*r - 43 + 40, 15 = 3*a. Give h(r).\n' | b'1\n' | b'Let l = 9 - 9. Let h(w) = -w - w + 1 + w**2 + l. Suppose a = 4*r - 43 + 40, 15 = 3*a. Give h(r).\n' | b'1\n' | deepmind/math_dataset |
b'Let s(p) be the third derivative of -1/70*p**7 + 0*p**5 + 8*p**2 + 0 + 0*p + 7/6*p**3 + 0*p**6 + 0*p**4. Find the first derivative of s(c) wrt c.\n' | b'-12*c**3\n' | b'Let s(p) be the third derivative of -1/70*p**7 + 0*p**5 + 8*p**2 + 0 + 0*p + 7/6*p**3 + 0*p**6 + 0*p**4. Find the first derivative of s(c) wrt c.\n' | b'-12*c**3\n' | deepmind/math_dataset |
b'What is prob of picking 2 h, 1 g, and 1 z when four letters picked without replacement from zchhchcghccchc?\n' | b'10/1001\n' | b'What is prob of picking 2 h, 1 g, and 1 z when four letters picked without replacement from zchhchcghccchc?\n' | b'10/1001\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xxxxxxxxxwwxxxxxxx. Give prob of picking 2 x.\n' | b'40/51\n' | b'Two letters picked without replacement from xxxxxxxxxwwxxxxxxx. Give prob of picking 2 x.\n' | b'40/51\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uvvcvvccbvcl. What is prob of picking 2 v and 1 c?\n' | b'2/11\n' | b'Three letters picked without replacement from uvvcvvccbvcl. What is prob of picking 2 v and 1 c?\n' | b'2/11\n' | deepmind/math_dataset |
b'Let o(a) = -7 - 6*a**2 + 1 + a**3 - 7*a**3 + 3*a**3 + 4*a**3 + 4*a. What is o(6)?\n' | b'18\n' | b'Let o(a) = -7 - 6*a**2 + 1 + a**3 - 7*a**3 + 3*a**3 + 4*a**3 + 4*a. What is o(6)?\n' | b'18\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 2, m: 1, z: 1, o: 4}. Give prob of sequence om.\n' | b'1/14\n' | b'Two letters picked without replacement from {g: 2, m: 1, z: 1, o: 4}. Give prob of sequence om.\n' | b'1/14\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ynymyyynmyyyymvmyvn. What is prob of picking 2 n?\n' | b'1/57\n' | b'Two letters picked without replacement from ynymyyynmyyyymvmyvn. What is prob of picking 2 n?\n' | b'1/57\n' | deepmind/math_dataset |
b'Let s be (-3)/5 - 65/(-25). Suppose 5*u - 49 = 4*a, -2*u - 6*a + 42 = -s*a. Solve 9 = 4*t - f, -4*t + 3*f - 2 + u = 0 for t.\n' | b'2\n' | b'Let s be (-3)/5 - 65/(-25). Suppose 5*u - 49 = 4*a, -2*u - 6*a + 42 = -s*a. Solve 9 = 4*t - f, -4*t + 3*f - 2 + u = 0 for t.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 2 g and 1 l when three letters picked without replacement from {z: 1, x: 5, n: 1, g: 2, l: 1, k: 3}?\n' | b'1/286\n' | b'What is prob of picking 2 g and 1 l when three letters picked without replacement from {z: 1, x: 5, n: 1, g: 2, l: 1, k: 3}?\n' | b'1/286\n' | deepmind/math_dataset |
b'Let v = 60 + -38. Suppose -58 = 6*p - 22. Let z be 9*(1 + 4/p). Solve -2*t = -3*w + 9, z*t + 5*w + 7 = v for t.\n' | b'0\n' | b'Let v = 60 + -38. Suppose -58 = 6*p - 22. Let z be 9*(1 + 4/p). Solve -2*t = -3*w + 9, z*t + 5*w + 7 = v for t.\n' | b'0\n' | deepmind/math_dataset |
b'Let a(l) be the first derivative of -l**3/3 + 2*l**2 + 3*l + 3. Determine a(5).\n' | b'-2\n' | b'Let a(l) be the first derivative of -l**3/3 + 2*l**2 + 3*l + 3. Determine a(5).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (d**(-2/7))**15/(d/((d**5/d)/d))**(-10) assuming d is positive.\n' | b'd**(-170/7)\n' | b'Simplify (d**(-2/7))**15/(d/((d**5/d)/d))**(-10) assuming d is positive.\n' | b'd**(-170/7)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zouzou. Give prob of sequence uz.\n' | b'2/15\n' | b'Two letters picked without replacement from zouzou. Give prob of sequence uz.\n' | b'2/15\n' | deepmind/math_dataset |
b'Let y be (24/(-8))/(1/3). Let h be (2 - -4)/(y/(-6)). Solve f + 2*u + 1 = -2, -4*u = h for f.\n' | b'-1\n' | b'Let y be (24/(-8))/(1/3). Let h be (2 - -4)/(y/(-6)). Solve f + 2*u + 1 = -2, -4*u = h for f.\n' | b'-1\n' | deepmind/math_dataset |
b'Let c(z) = -1 + 2*z + 4 + 0 - 2 + 14*z**2. Let x = -2 + 1. Let p be c(x). Solve -4*s = -3*t - 0 - p, 5*s = 20 for t.\n' | b'1\n' | b'Let c(z) = -1 + 2*z + 4 + 0 - 2 + 14*z**2. Let x = -2 + 1. Let p be c(x). Solve -4*s = -3*t - 0 - p, 5*s = 20 for t.\n' | b'1\n' | deepmind/math_dataset |
b'Let f(a) = a**3 + 25*a**2 - 117*a - 26. Let k be f(-29). Solve 5*s = -k*u + s + 31, 0 = -2*u - 5*s + 30 for u.\n' | b'5\n' | b'Let f(a) = a**3 + 25*a**2 - 117*a - 26. Let k be f(-29). Solve 5*s = -k*u + s + 31, 0 = -2*u - 5*s + 30 for u.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 4, j: 9, c: 1}. What is prob of sequence jct?\n' | b'3/182\n' | b'Three letters picked without replacement from {t: 4, j: 9, c: 1}. What is prob of sequence jct?\n' | b'3/182\n' | deepmind/math_dataset |
b'Simplify ((s*s**(-5)*s*((s*s**(-13)*s)/s)/s)/(s**(-1/5))**(-7/4))**(-3/5) assuming s is positive.\n' | b's**(981/100)\n' | b'Simplify ((s*s**(-5)*s*((s*s**(-13)*s)/s)/s)/(s**(-1/5))**(-7/4))**(-3/5) assuming s is positive.\n' | b's**(981/100)\n' | deepmind/math_dataset |
b'Simplify (((u/(u/(u*u**(2/13)*u)*u))/u)/u**(-13))/(u**(-43)*u)**(1/65) assuming u is positive.\n' | b'u**(69/5)\n' | b'Simplify (((u/(u/(u*u**(2/13)*u)*u))/u)/u**(-13))/(u**(-43)*u)**(1/65) assuming u is positive.\n' | b'u**(69/5)\n' | deepmind/math_dataset |
b'What is prob of sequence bro when three letters picked without replacement from robro?\n' | b'1/15\n' | b'What is prob of sequence bro when three letters picked without replacement from robro?\n' | b'1/15\n' | deepmind/math_dataset |
b'What is the second derivative of -209*x - 561*x**3 - 1279*x + 270*x**3 - 206*x**3 + 102*x**3 wrt x?\n' | b'-2370*x\n' | b'What is the second derivative of -209*x - 561*x**3 - 1279*x + 270*x**3 - 206*x**3 + 102*x**3 wrt x?\n' | b'-2370*x\n' | deepmind/math_dataset |
b'Simplify (z/z**(-1/2)*z*z**(-4)*(((z/z**(-1/9))/z)/z)/z**(2/5))**(3/31) assuming z is positive.\n' | b'z**(-251/930)\n' | b'Simplify (z/z**(-1/2)*z*z**(-4)*(((z/z**(-1/9))/z)/z)/z**(2/5))**(3/31) assuming z is positive.\n' | b'z**(-251/930)\n' | deepmind/math_dataset |
b'Simplify (((x*x**(3/5)*x)/x)/x*x)**(-2/21)/(x**0)**(-22) assuming x is positive.\n' | b'x**(-16/105)\n' | b'Simplify (((x*x**(3/5)*x)/x)/x*x)**(-2/21)/(x**0)**(-22) assuming x is positive.\n' | b'x**(-16/105)\n' | deepmind/math_dataset |
b'Calculate prob of sequence jxt when three letters picked without replacement from {x: 7, i: 2, j: 1, t: 3, r: 1}.\n' | b'1/104\n' | b'Calculate prob of sequence jxt when three letters picked without replacement from {x: 7, i: 2, j: 1, t: 3, r: 1}.\n' | b'1/104\n' | deepmind/math_dataset |
b'Let g = 287 - 283. Suppose 0*d + 3*t - g = 2*d, -4*d - 4*t + 32 = 0. Solve -d*r + w + 2 - 3 = 0, -3 = w for r.\n' | b'-1\n' | b'Let g = 287 - 283. Suppose 0*d + 3*t - g = 2*d, -4*d - 4*t + 32 = 0. Solve -d*r + w + 2 - 3 = 0, -3 = w for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -2*r = 4*m - 18, 3*r - r - 14 = -2*m. Suppose r*k + 2 = -4*z - 11, -5*z + 2*k + 25 = 0. Solve p - 3*s = -z*p - 4, 2*p + 4 = 2*s for p.\n' | b'2\n' | b'Suppose -2*r = 4*m - 18, 3*r - r - 14 = -2*m. Suppose r*k + 2 = -4*z - 11, -5*z + 2*k + 25 = 0. Solve p - 3*s = -z*p - 4, 2*p + 4 = 2*s for p.\n' | b'2\n' | deepmind/math_dataset |
b'Let s(d) = d - 30. Let j be s(0). Let x be ((-63)/15)/(6/j). Differentiate v**4 + 5*v**4 - x*v**2 - 4 + 21*v**2 wrt v.\n' | b'24*v**3\n' | b'Let s(d) = d - 30. Let j be s(0). Let x be ((-63)/15)/(6/j). Differentiate v**4 + 5*v**4 - x*v**2 - 4 + 21*v**2 wrt v.\n' | b'24*v**3\n' | deepmind/math_dataset |
b'What is prob of sequence ggum when four letters picked without replacement from {m: 2, u: 7, g: 5}?\n' | b'5/429\n' | b'What is prob of sequence ggum when four letters picked without replacement from {m: 2, u: 7, g: 5}?\n' | b'5/429\n' | deepmind/math_dataset |
b'Let l = -193 - -203. Solve 0 = 2*d + 2*n - l + 2, 0 = -3*n + 6 for d.\n' | b'2\n' | b'Let l = -193 - -203. Solve 0 = 2*d + 2*n - l + 2, 0 = -3*n + 6 for d.\n' | b'2\n' | deepmind/math_dataset |
b'Let i = 2542 + -2538. Solve -14 = -6*m + 9*m - s, -29 = 3*m - i*s for m.\n' | b'-3\n' | b'Let i = 2542 + -2538. Solve -14 = -6*m + 9*m - s, -29 = 3*m - i*s for m.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (m/m**(2/5))**(10/7)*(m*m**0*m)/(m/((m**(1/6)/m)/m)*m) assuming m is positive.\n' | b'm**(-41/42)\n' | b'Simplify (m/m**(2/5))**(10/7)*(m*m**0*m)/(m/((m**(1/6)/m)/m)*m) assuming m is positive.\n' | b'm**(-41/42)\n' | deepmind/math_dataset |
b'Suppose -20*l = -16*l - 376. Suppose -l = -14*g - 598. Let x = g - -39. Solve 0 = -f + 5*v - 18, -v = x*f + 2*v for f.\n' | b'-3\n' | b'Suppose -20*l = -16*l - 376. Suppose -l = -14*g - 598. Let x = g - -39. Solve 0 = -f + 5*v - 18, -v = x*f + 2*v for f.\n' | b'-3\n' | deepmind/math_dataset |
b'Let d be (-9 + (-12)/(-4))*-1. Find the second derivative of -d*u - 3*u**2 + 8*u + 2*u wrt u.\n' | b'-6\n' | b'Let d be (-9 + (-12)/(-4))*-1. Find the second derivative of -d*u - 3*u**2 + 8*u + 2*u wrt u.\n' | b'-6\n' | deepmind/math_dataset |
b'Let a(c) = -c**3 + 6*c**2 - 3*c - 2. Suppose -1032 = 4*d + 4*m, -d = -6*d + 3*m - 1322. Let u = 267 + d. Give a(u).\n' | b'8\n' | b'Let a(c) = -c**3 + 6*c**2 - 3*c - 2. Suppose -1032 = 4*d + 4*m, -d = -6*d + 3*m - 1322. Let u = 267 + d. Give a(u).\n' | b'8\n' | deepmind/math_dataset |
b'What is prob of sequence bd when two letters picked without replacement from {b: 13, d: 5}?\n' | b'65/306\n' | b'What is prob of sequence bd when two letters picked without replacement from {b: 13, d: 5}?\n' | b'65/306\n' | deepmind/math_dataset |
b'Let k(m) = -m**2 + 2*m + 22. Let f be k(-2). Let r(p) = p**3 - 15*p**2 + 13*p + 19. What is r(f)?\n' | b'5\n' | b'Let k(m) = -m**2 + 2*m + 22. Let f be k(-2). Let r(p) = p**3 - 15*p**2 + 13*p + 19. What is r(f)?\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((((x*x*x/(x*x**(2/5)))/x*x)**(-24/11))**31)**(-4/29) assuming x is positive.\n' | b'x**(23808/1595)\n' | b'Simplify ((((x*x*x/(x*x**(2/5)))/x*x)**(-24/11))**31)**(-4/29) assuming x is positive.\n' | b'x**(23808/1595)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zffhz. Give prob of picking 2 z and 2 h.\n' | b'0\n' | b'Four letters picked without replacement from zffhz. Give prob of picking 2 z and 2 h.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 3, b: 2, c: 9, f: 4}. Give prob of sequence rrf.\n' | b'1/204\n' | b'Three letters picked without replacement from {r: 3, b: 2, c: 9, f: 4}. Give prob of sequence rrf.\n' | b'1/204\n' | deepmind/math_dataset |
b'Let d(s) be the second derivative of -s**6/144 - s**5/30 - 7*s**4/12 - s. Let w(t) be the third derivative of d(t). What is the derivative of w(u) wrt u?\n' | b'-5\n' | b'Let d(s) be the second derivative of -s**6/144 - s**5/30 - 7*s**4/12 - s. Let w(t) be the third derivative of d(t). What is the derivative of w(u) wrt u?\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 0 = 4*r - 597 + 629. Let j(l) = -l - 3. What is j(r)?\n' | b'5\n' | b'Suppose 0 = 4*r - 597 + 629. Let j(l) = -l - 3. What is j(r)?\n' | b'5\n' | deepmind/math_dataset |
b'Let l(y) be the third derivative of 7*y**6/120 + 11*y**5/30 - y**4/12 + 3281*y**3/6 - 4941*y**2. What is the first derivative of l(t) wrt t?\n' | b'21*t**2 + 44*t - 2\n' | b'Let l(y) be the third derivative of 7*y**6/120 + 11*y**5/30 - y**4/12 + 3281*y**3/6 - 4941*y**2. What is the first derivative of l(t) wrt t?\n' | b'21*t**2 + 44*t - 2\n' | deepmind/math_dataset |
b'Simplify (s**0)**(-48)/((s*s*(s/s**(1/5)*s)/s)/(s**3/s*s*s))*(((s/s**(-8))/s)/(s*s/(s**(-2/5)/s)))**(-28) assuming s is positive.\n' | b's**(-638/5)\n' | b'Simplify (s**0)**(-48)/((s*s*(s/s**(1/5)*s)/s)/(s**3/s*s*s))*(((s/s**(-8))/s)/(s*s/(s**(-2/5)/s)))**(-28) assuming s is positive.\n' | b's**(-638/5)\n' | deepmind/math_dataset |
b'What is prob of sequence wqwf when four letters picked without replacement from wwoqwqdwfdqwwdfdffw?\n' | b'7/1292\n' | b'What is prob of sequence wqwf when four letters picked without replacement from wwoqwqdwfdqwwdfdffw?\n' | b'7/1292\n' | deepmind/math_dataset |
b'Let v be 42/8 + (-18)/72. Solve -5*y = -0*j - 5*j + 15, 0 = -2*j + 3*y + v for j.\n' | b'4\n' | b'Let v be 42/8 + (-18)/72. Solve -5*y = -0*j - 5*j + 15, 0 = -2*j + 3*y + v for j.\n' | b'4\n' | deepmind/math_dataset |
b'Let g(t) = t**3 + 7*t**2 + 4*t - 7. Let i be g(-6). Let w(c) = c**2 - 4*c - 1. Determine w(i).\n' | b'4\n' | b'Let g(t) = t**3 + 7*t**2 + 4*t - 7. Let i be g(-6). Let w(c) = c**2 - 4*c - 1. Determine w(i).\n' | b'4\n' | deepmind/math_dataset |
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