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 j(k) = -k**3 + 0*k**3 - 1 - 4 + 8*k**2. Let h = 1929 + -1921. What is j(h)?\n' | b'-5\n' | b'Let j(k) = -k**3 + 0*k**3 - 1 - 4 + 8*k**2. Let h = 1929 + -1921. What is j(h)?\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -4*b = -76 - 12. Suppose -b = -s - s + 4*p, -5*p - 15 = 0. Solve 0 = 5*y + i + 4, 5*i + s = -2*y - 15 for y.\n' | b'0\n' | b'Suppose -4*b = -76 - 12. Suppose -b = -s - s + 4*p, -5*p - 15 = 0. Solve 0 = 5*y + i + 4, 5*i + s = -2*y - 15 for y.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pakypppk. What is prob of sequence ayk?\n' | b'1/168\n' | b'Three letters picked without replacement from pakypppk. What is prob of sequence ayk?\n' | b'1/168\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lafaaapzf. What is prob of picking 1 l and 2 a?\n' | b'1/14\n' | b'Three letters picked without replacement from lafaaapzf. What is prob of picking 1 l and 2 a?\n' | b'1/14\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 2, j: 5}. What is prob of sequence jr?\n' | b'5/21\n' | b'Two letters picked without replacement from {r: 2, j: 5}. What is prob of sequence jr?\n' | b'5/21\n' | deepmind/math_dataset |
b'Let n(u) = 2*u - 5. Let x be n(4). Suppose -q - 2*r + 16 = x*q, -2 = -2*q + 2*r. Solve -26 = -5*c - q*b, 3*c + 3*b + 6 = 6*c for c.\n' | b'4\n' | b'Let n(u) = 2*u - 5. Let x be n(4). Suppose -q - 2*r + 16 = x*q, -2 = -2*q + 2*r. Solve -26 = -5*c - q*b, 3*c + 3*b + 6 = 6*c for c.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -3*p + 3*d + 14 = -13, -5*p + 13 = 3*d. Let f(w) = 3*w**2 + 3*w**2 - 7*w**2 + p. Suppose -r - 25 = -5*n + 4, -n + 17 = -3*r. What is f(r)?\n' | b'-11\n' | b'Suppose -3*p + 3*d + 14 = -13, -5*p + 13 = 3*d. Let f(w) = 3*w**2 + 3*w**2 - 7*w**2 + p. Suppose -r - 25 = -5*n + 4, -n + 17 = -3*r. What is f(r)?\n' | b'-11\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 2, u: 3, e: 2, h: 6}. Give prob of picking 3 e.\n' | b'0\n' | b'Three letters picked without replacement from {i: 2, u: 3, e: 2, h: 6}. Give prob of picking 3 e.\n' | b'0\n' | deepmind/math_dataset |
b'Let g(w) = -44*w**3 - 2*w**2 + 2*w. Let f = 0 + 1. Let q be g(f). Let o = -29 - q. Solve o = -5*u, -u + 9 = 2*y - 2*u for y.\n' | b'3\n' | b'Let g(w) = -44*w**3 - 2*w**2 + 2*w. Let f = 0 + 1. Let q be g(f). Let o = -29 - q. Solve o = -5*u, -u + 9 = 2*y - 2*u for y.\n' | b'3\n' | deepmind/math_dataset |
b'Let d(l) = 22*l - 141. Let o be d(9). Differentiate o*g - 38 + 31*g + 100 with respect to g.\n' | b'88\n' | b'Let d(l) = 22*l - 141. Let o be d(9). Differentiate o*g - 38 + 31*g + 100 with respect to g.\n' | b'88\n' | deepmind/math_dataset |
b'Calculate prob of sequence etfp when four letters picked without replacement from ftftffpceefctetpe.\n' | b'1/357\n' | b'Calculate prob of sequence etfp when four letters picked without replacement from ftftffpceefctetpe.\n' | b'1/357\n' | deepmind/math_dataset |
b'Simplify (x**(-2/5)*x*x)**46/(x*x**0*(x/(x**0*x))/x) assuming x is positive.\n' | b'x**(368/5)\n' | b'Simplify (x**(-2/5)*x*x)**46/(x*x**0*(x/(x**0*x))/x) assuming x is positive.\n' | b'x**(368/5)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 1 c when two letters picked without replacement from qdqcdpcqpbccdcqcqipq.\n' | b'3/95\n' | b'Calculate prob of picking 1 b and 1 c when two letters picked without replacement from qdqcdpcqpbccdcqcqipq.\n' | b'3/95\n' | deepmind/math_dataset |
b'Simplify ((b/b**(4/5))/b*b*b*b**(3/7)/b)/(b**(2/7))**42 assuming b is positive.\n' | b'b**(-398/35)\n' | b'Simplify ((b/b**(4/5))/b*b*b*b**(3/7)/b)/(b**(2/7))**42 assuming b is positive.\n' | b'b**(-398/35)\n' | deepmind/math_dataset |
b'Suppose -3*j - 22 + 34 = 0. Let p(u) = -3*u - u**2 + j*u + 0*u + 9 + 9*u. Determine p(12).\n' | b'-15\n' | b'Suppose -3*j - 22 + 34 = 0. Let p(u) = -3*u - u**2 + j*u + 0*u + 9 + 9*u. Determine p(12).\n' | b'-15\n' | deepmind/math_dataset |
b'Let q be (-3)/15 + 273/(-35). Let p be ((-9)/(-2))/(q/(-16)). Solve x + 3*u = -p - 6, x = 5*u + 25 for x.\n' | b'0\n' | b'Let q be (-3)/15 + 273/(-35). Let p be ((-9)/(-2))/(q/(-16)). Solve x + 3*u = -p - 6, x = 5*u + 25 for x.\n' | b'0\n' | deepmind/math_dataset |
b'Let b(x) be the third derivative of 5*x**4/24 - x**3/6 + 22*x**2. Determine b(-1).\n' | b'-6\n' | b'Let b(x) be the third derivative of 5*x**4/24 - x**3/6 + 22*x**2. Determine b(-1).\n' | b'-6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 4, k: 5, c: 1, e: 2, q: 2}. Give prob of sequence qgk.\n' | b'5/273\n' | b'Three letters picked without replacement from {g: 4, k: 5, c: 1, e: 2, q: 2}. Give prob of sequence qgk.\n' | b'5/273\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 1, v: 3, i: 2, d: 1, y: 2, u: 9}. What is prob of picking 1 v and 1 p?\n' | b'1/51\n' | b'Two letters picked without replacement from {p: 1, v: 3, i: 2, d: 1, y: 2, u: 9}. What is prob of picking 1 v and 1 p?\n' | b'1/51\n' | deepmind/math_dataset |
b'Simplify (s**(5/9))**(2/51)/((s*s**(-3/2))/s**(-32)) assuming s is positive.\n' | b's**(-28897/918)\n' | b'Simplify (s**(5/9))**(2/51)/((s*s**(-3/2))/s**(-32)) assuming s is positive.\n' | b's**(-28897/918)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 6, e: 4, w: 2}. Give prob of picking 1 w and 1 s.\n' | b'2/11\n' | b'Two letters picked without replacement from {s: 6, e: 4, w: 2}. Give prob of picking 1 w and 1 s.\n' | b'2/11\n' | deepmind/math_dataset |
b'Let k(f) be the third derivative of -f**6/720 + f**5/40 + 19*f**4/6 - 54*f**2. Let i(d) be the second derivative of k(d). Suppose 5*b = 44 - 9. Give i(b).\n' | b'-4\n' | b'Let k(f) be the third derivative of -f**6/720 + f**5/40 + 19*f**4/6 - 54*f**2. Let i(d) be the second derivative of k(d). Suppose 5*b = 44 - 9. Give i(b).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -3*w = -h + 24, 17*w = 4*h + 12*w - 82. Let m = -8 + 11. Suppose 0 = -4*o - 4*j + m*j + 3, -j = -5*o - 3. Solve -3*b = -o*b + q - h, 0 = 3*q - 9 for b.\n' | b'5\n' | b'Suppose -3*w = -h + 24, 17*w = 4*h + 12*w - 82. Let m = -8 + 11. Suppose 0 = -4*o - 4*j + m*j + 3, -j = -5*o - 3. Solve -3*b = -o*b + q - h, 0 = 3*q - 9 for b.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -68 = 6*b - 98. Solve q - 6*q + 5*y - b = 0, 5 = -5*q - y for q.\n' | b'-1\n' | b'Suppose -68 = 6*b - 98. Solve q - 6*q + 5*y - b = 0, 5 = -5*q - y for q.\n' | b'-1\n' | deepmind/math_dataset |
b'What is the third derivative of 1 - 5*j**5 - 2 - 2*j**2 + 1 wrt j?\n' | b'-300*j**2\n' | b'What is the third derivative of 1 - 5*j**5 - 2 - 2*j**2 + 1 wrt j?\n' | b'-300*j**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yjjjjyyyjyjvjyyvyj. Give prob of sequence yy.\n' | b'28/153\n' | b'Two letters picked without replacement from yjjjjyyyjyjvjyyvyj. Give prob of sequence yy.\n' | b'28/153\n' | deepmind/math_dataset |
b'Simplify (((d*d**(-44)*d*d)/d)/(d**(-44)*d))/((d*d/(d**33/d)*d)/(d/(d/(d/(d*d/(d**15*d)))*d))) assuming d is positive.\n' | b'd**44\n' | b'Simplify (((d*d**(-44)*d*d)/d)/(d**(-44)*d))/((d*d/(d**33/d)*d)/(d/(d/(d/(d*d/(d**15*d)))*d))) assuming d is positive.\n' | b'd**44\n' | deepmind/math_dataset |
b'Suppose 2*y + y - 6 = 0. Find the third derivative of -5*p**4 + p**4 + p**4 + p**y wrt p.\n' | b'-72*p\n' | b'Suppose 2*y + y - 6 = 0. Find the third derivative of -5*p**4 + p**4 + p**4 + p**y wrt p.\n' | b'-72*p\n' | deepmind/math_dataset |
b'Let r(t) = -75*t - 80. Let y(a) = -675*a - 720. Let u(i) = 55*r(i) - 6*y(i). Differentiate u(z) wrt z.\n' | b'-75\n' | b'Let r(t) = -75*t - 80. Let y(a) = -675*a - 720. Let u(i) = 55*r(i) - 6*y(i). Differentiate u(z) wrt z.\n' | b'-75\n' | deepmind/math_dataset |
b'Let l(n) = -15*n + 9. Let c(d) = 4*d - 2. Let y(v) = 18*c(v) + 4*l(v). Give y(-1).\n' | b'-12\n' | b'Let l(n) = -15*n + 9. Let c(d) = 4*d - 2. Let y(v) = 18*c(v) + 4*l(v). Give y(-1).\n' | b'-12\n' | deepmind/math_dataset |
b'Suppose -5 = 4*z - 4*m + 675, 2*z + 340 = m. Let p be z/(-70) + 3/(-7). Let i(l) = -3*l**2 + p*l**2 + 10*l - 3 - 2*l + 0*l**2. Calculate i(6).\n' | b'9\n' | b'Suppose -5 = 4*z - 4*m + 675, 2*z + 340 = m. Let p be z/(-70) + 3/(-7). Let i(l) = -3*l**2 + p*l**2 + 10*l - 3 - 2*l + 0*l**2. Calculate i(6).\n' | b'9\n' | deepmind/math_dataset |
b'Suppose 14 = 2*c + 4. What is the second derivative of 3*v**5 + 2*v + 0*v**c - 2*v + 2*v wrt v?\n' | b'60*v**3\n' | b'Suppose 14 = 2*c + 4. What is the second derivative of 3*v**5 + 2*v + 0*v**c - 2*v + 2*v wrt v?\n' | b'60*v**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pohphophhooohhhpo. What is prob of picking 1 o and 3 h?\n' | b'3/34\n' | b'Four letters picked without replacement from pohphophhooohhhpo. What is prob of picking 1 o and 3 h?\n' | b'3/34\n' | deepmind/math_dataset |
b'Simplify (u**(-2/11))**18*u*u/((u/(u*u/(u/u**(-1/12)*u*u)))/u)*u**(-7) assuming u is positive.\n' | b'u**(-1235/132)\n' | b'Simplify (u**(-2/11))**18*u*u/((u/(u*u/(u/u**(-1/12)*u*u)))/u)*u**(-7) assuming u is positive.\n' | b'u**(-1235/132)\n' | deepmind/math_dataset |
b'What is prob of picking 1 b, 1 d, and 2 c when four letters picked without replacement from ccbcddkbdpdccckdcbd?\n' | b'63/646\n' | b'What is prob of picking 1 b, 1 d, and 2 c when four letters picked without replacement from ccbcddkbdpdccckdcbd?\n' | b'63/646\n' | deepmind/math_dataset |
b'Let p = 3 + -1. Suppose 3 = p*g + 5*m, -2*g - 4*m = 3*g - 16. Solve g*h = -3*y + 7, -y - y = -3*h + 1 for h.\n' | b'1\n' | b'Let p = 3 + -1. Suppose 3 = p*g + 5*m, -2*g - 4*m = 3*g - 16. Solve g*h = -3*y + 7, -y - y = -3*h + 1 for h.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 3*y - 107 = -89. Let w be (y/8)/((-6)/72). Let z(q) be the first derivative of q**3/3 + 5*q**2 + 4*q + 5. Give z(w).\n' | b'-5\n' | b'Suppose 3*y - 107 = -89. Let w be (y/8)/((-6)/72). Let z(q) be the first derivative of q**3/3 + 5*q**2 + 4*q + 5. Give z(w).\n' | b'-5\n' | deepmind/math_dataset |
b'Let h(c) be the second derivative of -c**4/4 - 20*c**3/3 + 9*c**2 - 2833*c. Calculate h(-14).\n' | b'-10\n' | b'Let h(c) be the second derivative of -c**4/4 - 20*c**3/3 + 9*c**2 - 2833*c. Calculate h(-14).\n' | b'-10\n' | deepmind/math_dataset |
b'Let l(s) = s**3 - 15*s**2 + 4. Let x = -113 - -128. Let b be l(x). Find the third derivative of -11*r**3 + 5*r**3 + 42*r**b + 7*r**2 + 6*r**3 wrt r.\n' | b'1008*r\n' | b'Let l(s) = s**3 - 15*s**2 + 4. Let x = -113 - -128. Let b be l(x). Find the third derivative of -11*r**3 + 5*r**3 + 42*r**b + 7*r**2 + 6*r**3 wrt r.\n' | b'1008*r\n' | deepmind/math_dataset |
b'Let i be 51/(-12) - 5/(-20). Let q(f) = 7*f - 7. Let l(r) = 13*r - 14. Let n(c) = i*l(c) + 7*q(c). Give n(6).\n' | b'-11\n' | b'Let i be 51/(-12) - 5/(-20). Let q(f) = 7*f - 7. Let l(r) = 13*r - 14. Let n(c) = i*l(c) + 7*q(c). Give n(6).\n' | b'-11\n' | deepmind/math_dataset |
b'Let b(w) = -4356*w**2 - 1692. Let c(m) = 872*m**2 + 338. Let o(v) = 5*b(v) + 24*c(v). What is the first derivative of o(r) wrt r?\n' | b'-1704*r\n' | b'Let b(w) = -4356*w**2 - 1692. Let c(m) = 872*m**2 + 338. Let o(v) = 5*b(v) + 24*c(v). What is the first derivative of o(r) wrt r?\n' | b'-1704*r\n' | deepmind/math_dataset |
b'Let c(q) = -q**2 + 13*q + 173. Let k be c(21). Solve -3*m + 0*m - k*z - 14 = 0, 0 = -5*m + 3*z - 12 for m.\n' | b'-3\n' | b'Let c(q) = -q**2 + 13*q + 173. Let k be c(21). Solve -3*m + 0*m - k*z - 14 = 0, 0 = -5*m + 3*z - 12 for m.\n' | b'-3\n' | deepmind/math_dataset |
b'Let v(n) = n**3 + 13*n**2 + 17*n + 65. Let z be v(-12). Solve 5*k + 0*a - z*a = -30, k + 2*a = 3 for k.\n' | b'-3\n' | b'Let v(n) = n**3 + 13*n**2 + 17*n + 65. Let z be v(-12). Solve 5*k + 0*a - z*a = -30, k + 2*a = 3 for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (l**(7/2)*l)**(-5/2) assuming l is positive.\n' | b'l**(-45/4)\n' | b'Simplify (l**(7/2)*l)**(-5/2) assuming l is positive.\n' | b'l**(-45/4)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 2, n: 3}. Give prob of picking 3 n.\n' | b'1/10\n' | b'Three letters picked without replacement from {i: 2, n: 3}. Give prob of picking 3 n.\n' | b'1/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gggbgggg. Give prob of sequence gg.\n' | b'3/4\n' | b'Two letters picked without replacement from gggbgggg. Give prob of sequence gg.\n' | b'3/4\n' | deepmind/math_dataset |
b'What is the second derivative of 8*c - 57*c**2 - 18815 + 18819 + 4*c wrt c?\n' | b'-114\n' | b'What is the second derivative of 8*c - 57*c**2 - 18815 + 18819 + 4*c wrt c?\n' | b'-114\n' | deepmind/math_dataset |
b'Suppose -3*w + 22*z = 23*z - 35, w + 2*z - 20 = 0. Solve 0*v - w = -3*v + 4*i, 0 = 2*v + i + 8 for v.\n' | b'-2\n' | b'Suppose -3*w + 22*z = 23*z - 35, w + 2*z - 20 = 0. Solve 0*v - w = -3*v + 4*i, 0 = 2*v + i + 8 for v.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -57 = -5*j - 47. Find the third derivative of 52*u**6 + 42*u**6 - 78092*u**j + 78272*u**2 wrt u.\n' | b'11280*u**3\n' | b'Suppose -57 = -5*j - 47. Find the third derivative of 52*u**6 + 42*u**6 - 78092*u**j + 78272*u**2 wrt u.\n' | b'11280*u**3\n' | deepmind/math_dataset |
b'Let g(k) = -2*k**3 - 2*k**2 - k + 2. Suppose -424*x = -418*x + 1656. Let c = 277 + x. Give g(c).\n' | b'-3\n' | b'Let g(k) = -2*k**3 - 2*k**2 - k + 2. Suppose -424*x = -418*x + 1656. Let c = 277 + x. Give g(c).\n' | b'-3\n' | deepmind/math_dataset |
b'Let c(x) = -x + 4 + 11*x + 0*x - 12*x. Give c(5).\n' | b'-6\n' | b'Let c(x) = -x + 4 + 11*x + 0*x - 12*x. Give c(5).\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m, 1 s, and 2 q when four letters picked without replacement from {m: 3, d: 1, q: 11, s: 5}.\n' | b'55/323\n' | b'Calculate prob of picking 1 m, 1 s, and 2 q when four letters picked without replacement from {m: 3, d: 1, q: 11, s: 5}.\n' | b'55/323\n' | deepmind/math_dataset |
b'Let p(o) = 5*o**2 + 33*o + 79. Let z be p(-4). Solve 5*q - z = 4*n, 5 = -2*n - q + 2 for n.\n' | b'-3\n' | b'Let p(o) = 5*o**2 + 33*o + 79. Let z be p(-4). Solve 5*q - z = 4*n, 5 = -2*n - q + 2 for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence dd when two letters picked without replacement from {s: 1, e: 2, d: 2, f: 6, t: 6, b: 3}.\n' | b'1/190\n' | b'Calculate prob of sequence dd when two letters picked without replacement from {s: 1, e: 2, d: 2, f: 6, t: 6, b: 3}.\n' | b'1/190\n' | deepmind/math_dataset |
b'Suppose 5*s - 75 = -5*o, -10*s + 7*s = -o + 3. Let t(c) = -c**3 + 12*c**2 + c - 5. Calculate t(o).\n' | b'7\n' | b'Suppose 5*s - 75 = -5*o, -10*s + 7*s = -o + 3. Let t(c) = -c**3 + 12*c**2 + c - 5. Calculate t(o).\n' | b'7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ttbltttlttboslltbtb. Give prob of sequence bsbt.\n' | b'3/2584\n' | b'Four letters picked without replacement from ttbltttlttboslltbtb. Give prob of sequence bsbt.\n' | b'3/2584\n' | deepmind/math_dataset |
b'Let v be 6/4 + (-2)/(-4). Let c = -4716 - -4718. Find the second derivative of 11*d**2 + 9*d**c - 9*d**2 + v*d wrt d.\n' | b'22\n' | b'Let v be 6/4 + (-2)/(-4). Let c = -4716 - -4718. Find the second derivative of 11*d**2 + 9*d**c - 9*d**2 + v*d wrt d.\n' | b'22\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 5, m: 2}. What is prob of sequence mgm?\n' | b'1/21\n' | b'Three letters picked without replacement from {g: 5, m: 2}. What is prob of sequence mgm?\n' | b'1/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 3, i: 1, a: 2, n: 2, f: 6}. What is prob of picking 1 k and 1 i?\n' | b'3/91\n' | b'Two letters picked without replacement from {k: 3, i: 1, a: 2, n: 2, f: 6}. What is prob of picking 1 k and 1 i?\n' | b'3/91\n' | deepmind/math_dataset |
b'Let x(d) be the first derivative of -899*d**5/5 + 1166*d + 611. Find the first derivative of x(z) wrt z.\n' | b'-3596*z**3\n' | b'Let x(d) be the first derivative of -899*d**5/5 + 1166*d + 611. Find the first derivative of x(z) wrt z.\n' | b'-3596*z**3\n' | deepmind/math_dataset |
b'Let a = -1755 - -1759. Let w(v) = -v**2 - 30 - 21 + 55. What is w(a)?\n' | b'-12\n' | b'Let a = -1755 - -1759. Let w(v) = -v**2 - 30 - 21 + 55. What is w(a)?\n' | b'-12\n' | deepmind/math_dataset |
b'Suppose -86*x + 596 = -120 + 200. Let d be (-1)/((-2)/4) + 0. Let q = 1 + d. Solve -x*m + q = -2*m - w, -w + 1 = 0 for m.\n' | b'1\n' | b'Suppose -86*x + 596 = -120 + 200. Let d be (-1)/((-2)/4) + 0. Let q = 1 + d. Solve -x*m + q = -2*m - w, -w + 1 = 0 for m.\n' | b'1\n' | deepmind/math_dataset |
b'Let o(k) be the second derivative of -k**3/2 - 13*k**2/2 + 11*k. Let w be o(-6). Solve -5*x = -d - 1, 2*d - 3*d = w*x - 9 for d.\n' | b'4\n' | b'Let o(k) be the second derivative of -k**3/2 - 13*k**2/2 + 11*k. Let w be o(-6). Solve -5*x = -d - 1, 2*d - 3*d = w*x - 9 for d.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 3, i: 4, g: 2, a: 1, h: 1, z: 1}. Give prob of picking 2 d.\n' | b'1/22\n' | b'Two letters picked without replacement from {d: 3, i: 4, g: 2, a: 1, h: 1, z: 1}. Give prob of picking 2 d.\n' | b'1/22\n' | deepmind/math_dataset |
b'Simplify (g**4)**21/(g*g**(-16)/g*g*g/g**(-2/7)) assuming g is positive.\n' | b'g**(684/7)\n' | b'Simplify (g**4)**21/(g*g**(-16)/g*g*g/g**(-2/7)) assuming g is positive.\n' | b'g**(684/7)\n' | deepmind/math_dataset |
b'Calculate prob of sequence dll when three letters picked without replacement from ldllllllddllll.\n' | b'55/364\n' | b'Calculate prob of sequence dll when three letters picked without replacement from ldllllllddllll.\n' | b'55/364\n' | deepmind/math_dataset |
b'Simplify (f**(2/9))**(2/3)*(f**(-2)/f)**(7/8) assuming f is positive.\n' | b'f**(-535/216)\n' | b'Simplify (f**(2/9))**(2/3)*(f**(-2)/f)**(7/8) assuming f is positive.\n' | b'f**(-535/216)\n' | deepmind/math_dataset |
b'Let q = -7 + 23. Solve 3*n - q = -n, -2*m + 16 = 3*n for m.\n' | b'2\n' | b'Let q = -7 + 23. Solve 3*n - q = -n, -2*m + 16 = 3*n for m.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -8*d + 17 = -15. Solve 3*w + 11 = d*y, 3*w - 5*y + 16 = -0*y for w.\n' | b'3\n' | b'Suppose -8*d + 17 = -15. Solve 3*w + 11 = d*y, 3*w - 5*y + 16 = -0*y for w.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (p**(1/8))**(-34) assuming p is positive.\n' | b'p**(-17/4)\n' | b'Simplify (p**(1/8))**(-34) assuming p is positive.\n' | b'p**(-17/4)\n' | deepmind/math_dataset |
b'Let u = 379 - 386. Let a(b) = -14*b - 49. Let r(z) = 5*z + 16. Let p(x) = -4*a(x) - 11*r(x). Give p(u).\n' | b'13\n' | b'Let u = 379 - 386. Let a(b) = -14*b - 49. Let r(z) = 5*z + 16. Let p(x) = -4*a(x) - 11*r(x). Give p(u).\n' | b'13\n' | deepmind/math_dataset |
b'Let l = -51 + 45. Let w(p) = p**3 + 6*p**2 - 2*p + 5. What is w(l)?\n' | b'17\n' | b'Let l = -51 + 45. Let w(p) = p**3 + 6*p**2 - 2*p + 5. What is w(l)?\n' | b'17\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 5, s: 2, j: 1, p: 8, m: 2}. Give prob of sequence pja.\n' | b'5/612\n' | b'Three letters picked without replacement from {a: 5, s: 2, j: 1, p: 8, m: 2}. Give prob of sequence pja.\n' | b'5/612\n' | deepmind/math_dataset |
b'Let t(l) = -1412*l**3 + 2 - 12 + 707*l**3 + 707*l**3 + 18*l - 18*l**2. Determine t(8).\n' | b'6\n' | b'Let t(l) = -1412*l**3 + 2 - 12 + 707*l**3 + 707*l**3 + 18*l - 18*l**2. Determine t(8).\n' | b'6\n' | deepmind/math_dataset |
b'Let k be (-9)/12*22*(-6)/(-9). Let h be (12 - -1) + (-55)/k. Suppose -5*a + h + 19 = 3*b, 5*b - 20 = 0. Solve -a = -3*y - 3*l + 4, -5*y - l = 5 for y.\n' | b'-2\n' | b'Let k be (-9)/12*22*(-6)/(-9). Let h be (12 - -1) + (-55)/k. Suppose -5*a + h + 19 = 3*b, 5*b - 20 = 0. Solve -a = -3*y - 3*l + 4, -5*y - l = 5 for y.\n' | b'-2\n' | deepmind/math_dataset |
b'Let d be (-96)/4 + -2*2. Let m be -2*(-7)/d*-4*1. Solve 2*n + n - 9 = 3*z, -5*z - m*n = 29 for z.\n' | b'-5\n' | b'Let d be (-96)/4 + -2*2. Let m be -2*(-7)/d*-4*1. Solve 2*n + n - 9 = 3*z, -5*z - m*n = 29 for z.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify i**32/((i/(i*(i*i**(-1/12))/i*i))/i) assuming i is positive.\n' | b'i**(407/12)\n' | b'Simplify i**32/((i/(i*(i*i**(-1/12))/i*i))/i) assuming i is positive.\n' | b'i**(407/12)\n' | deepmind/math_dataset |
b'Simplify (((c*(c**(-4)*c)/c*c)/(c*(c*c*c*c**(-1/4))/c*c)*(c*c**1)**(-2/19))**19)**(-3/13) assuming c is positive.\n' | b'c**(1359/52)\n' | b'Simplify (((c*(c**(-4)*c)/c*c)/(c*(c*c*c*c**(-1/4))/c*c)*(c*c**1)**(-2/19))**19)**(-3/13) assuming c is positive.\n' | b'c**(1359/52)\n' | deepmind/math_dataset |
b'Let q(o) = 3*o + 46. Let z(x) = x**2 + 29*x + 138. Let c be z(-22). What is q(c)?\n' | b'-2\n' | b'Let q(o) = 3*o + 46. Let z(x) = x**2 + 29*x + 138. Let c be z(-22). What is q(c)?\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (j/j**(-1/2))**(9/4)*(j*j*j**(-2/3)*j)/(j**(-2/13)/j*j) assuming j is positive.\n' | b'j**(1829/312)\n' | b'Simplify (j/j**(-1/2))**(9/4)*(j*j*j**(-2/3)*j)/(j**(-2/13)/j*j) assuming j is positive.\n' | b'j**(1829/312)\n' | deepmind/math_dataset |
b'Let w = 2 + 3. Let v be (-2)/w + 96/40. Solve -5*o - 28 = -v*p, o = -3*p - 4 + 12 for p.\n' | b'4\n' | b'Let w = 2 + 3. Let v be (-2)/w + 96/40. Solve -5*o - 28 = -v*p, o = -3*p - 4 + 12 for p.\n' | b'4\n' | deepmind/math_dataset |
b'Find the third derivative of 534*b**3 + 385*b**3 - b**2 + 626567*b - 626647*b wrt b.\n' | b'5514\n' | b'Find the third derivative of 534*b**3 + 385*b**3 - b**2 + 626567*b - 626647*b wrt b.\n' | b'5514\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 1, p: 2, m: 1, d: 1, a: 2, q: 2}. Give prob of sequence py.\n' | b'1/36\n' | b'Two letters picked without replacement from {y: 1, p: 2, m: 1, d: 1, a: 2, q: 2}. Give prob of sequence py.\n' | b'1/36\n' | deepmind/math_dataset |
b'Simplify (x**8)**(1/13)*x**(-21)/(x*x**(-24/7)) assuming x is positive.\n' | b'x**(-1634/91)\n' | b'Simplify (x**8)**(1/13)*x**(-21)/(x*x**(-24/7)) assuming x is positive.\n' | b'x**(-1634/91)\n' | deepmind/math_dataset |
b'Simplify (b**(-14)*b**(1/8)*b*(b/(b**7*b))/(b*b**(2/7)))**(-17) assuming b is positive.\n' | b'b**(20145/56)\n' | b'Simplify (b**(-14)*b**(1/8)*b*(b/(b**7*b))/(b*b**(2/7)))**(-17) assuming b is positive.\n' | b'b**(20145/56)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 1, o: 4, q: 2, z: 3, i: 7}. Give prob of picking 2 z and 1 i.\n' | b'21/680\n' | b'Three letters picked without replacement from {f: 1, o: 4, q: 2, z: 3, i: 7}. Give prob of picking 2 z and 1 i.\n' | b'21/680\n' | deepmind/math_dataset |
b'Calculate prob of sequence bwb when three letters picked without replacement from {s: 3, b: 7, w: 6, y: 3}.\n' | b'14/323\n' | b'Calculate prob of sequence bwb when three letters picked without replacement from {s: 3, b: 7, w: 6, y: 3}.\n' | b'14/323\n' | deepmind/math_dataset |
b'Suppose 33*i = -13*i + 11*i. Solve -5*b - w + i = 5, 3*b + 5*w = 19 for b.\n' | b'-2\n' | b'Suppose 33*i = -13*i + 11*i. Solve -5*b - w + i = 5, 3*b + 5*w = 19 for b.\n' | b'-2\n' | deepmind/math_dataset |
b'Let y(v) = v**2 + v + 3. Let s be (0/8)/((-2)/(-2)). Let g be y(s). Find the second derivative of -4*x - 6*x**g + 5*x - 2*x - 3*x wrt x.\n' | b'-36*x\n' | b'Let y(v) = v**2 + v + 3. Let s be (0/8)/((-2)/(-2)). Let g be y(s). Find the second derivative of -4*x - 6*x**g + 5*x - 2*x - 3*x wrt x.\n' | b'-36*x\n' | deepmind/math_dataset |
b'Let q(z) = -z**3 - 5*z**2 + 2*z + 7. Let j be (-2 + 1)/((-2)/(-16)). Let n = 11 + j. Suppose 2*m - 16 = o - 1, -n*m = -o - 20. What is q(o)?\n' | b'-3\n' | b'Let q(z) = -z**3 - 5*z**2 + 2*z + 7. Let j be (-2 + 1)/((-2)/(-16)). Let n = 11 + j. Suppose 2*m - 16 = o - 1, -n*m = -o - 20. What is q(o)?\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o and 1 f when two letters picked without replacement from {j: 4, c: 1, o: 5, f: 1, r: 3}.\n' | b'5/91\n' | b'Calculate prob of picking 1 o and 1 f when two letters picked without replacement from {j: 4, c: 1, o: 5, f: 1, r: 3}.\n' | b'5/91\n' | deepmind/math_dataset |
b'What is prob of sequence fl when two letters picked without replacement from qbfqxllqfxfqfq?\n' | b'4/91\n' | b'What is prob of sequence fl when two letters picked without replacement from qbfqxllqfxfqfq?\n' | b'4/91\n' | deepmind/math_dataset |
b'Let o(c) be the third derivative of -c**7/2520 + 7*c**4/24 + c**3/3 + 32*c**2 - c. Let w(b) be the second derivative of o(b). Calculate w(2).\n' | b'-4\n' | b'Let o(c) be the third derivative of -c**7/2520 + 7*c**4/24 + c**3/3 + 32*c**2 - c. Let w(b) be the second derivative of o(b). Calculate w(2).\n' | b'-4\n' | deepmind/math_dataset |
b'Differentiate 3001*m - 14126 + 18337 - 401*m with respect to m.\n' | b'2600\n' | b'Differentiate 3001*m - 14126 + 18337 - 401*m with respect to m.\n' | b'2600\n' | deepmind/math_dataset |
b'Simplify (((v**(2/31)/(v/v**(-3/10)))**(-17))**17)**(-5/6) assuming v is positive.\n' | b'v**(-110687/372)\n' | b'Simplify (((v**(2/31)/(v/v**(-3/10)))**(-17))**17)**(-5/6) assuming v is positive.\n' | b'v**(-110687/372)\n' | deepmind/math_dataset |
b'Let d = -6 + 11. Let z be 23/2 - (-3)/(-6). Suppose 3*m + d = z. Solve 2 - 10 = -m*w, -3*k + 4*w - 13 = 0 for k.\n' | b'1\n' | b'Let d = -6 + 11. Let z be 23/2 - (-3)/(-6). Suppose 3*m + d = z. Solve 2 - 10 = -m*w, -3*k + 4*w - 13 = 0 for k.\n' | b'1\n' | deepmind/math_dataset |
b'Let q be ((0 - 2) + 2)/(-2). Solve -3*n + v = -9, q = 2*n - 3*v + 1 for n.\n' | b'4\n' | b'Let q be ((0 - 2) + 2)/(-2). Solve -3*n + v = -9, q = 2*n - 3*v + 1 for n.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((z**(-3/2))**(-7/6))**46 assuming z is positive.\n' | b'z**(161/2)\n' | b'Simplify ((z**(-3/2))**(-7/6))**46 assuming z is positive.\n' | b'z**(161/2)\n' | deepmind/math_dataset |
b'What is prob of sequence too when three letters picked without replacement from totot?\n' | b'1/10\n' | b'What is prob of sequence too when three letters picked without replacement from totot?\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose -148*l = -50*l - 2156. Let c(q) be the first derivative of 5/2*q**2 + l + 0*q. Determine c(1).\n' | b'5\n' | b'Suppose -148*l = -50*l - 2156. Let c(q) be the first derivative of 5/2*q**2 + l + 0*q. Determine c(1).\n' | b'5\n' | deepmind/math_dataset |
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