question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Simplify ((j**(-14)/j*j)**(11/8))**(1/7) assuming j is positive.\n' | b'j**(-11/4)\n' | b'Simplify ((j**(-14)/j*j)**(11/8))**(1/7) assuming j is positive.\n' | b'j**(-11/4)\n' | deepmind/math_dataset |
b'Let y(r) = -r**3 + 4*r**2 + 9*r - 5. Suppose 2*v = n - 16, n + 26 = -5*v + 7. Determine y(n).\n' | b'-23\n' | b'Let y(r) = -r**3 + 4*r**2 + 9*r - 5. Suppose 2*v = n - 16, n + 26 = -5*v + 7. Determine y(n).\n' | b'-23\n' | deepmind/math_dataset |
b'Find the second derivative of -2*x**3 - 8 + 7 + 15*x**2 - x - 11*x - 1 wrt x.\n' | b'-12*x + 30\n' | b'Find the second derivative of -2*x**3 - 8 + 7 + 15*x**2 - x - 11*x - 1 wrt x.\n' | b'-12*x + 30\n' | deepmind/math_dataset |
b'Let h(r) be the first derivative of r**7/35 + 2*r**3/3 + r**2/2 + 3. Let z(o) be the second derivative of h(o). Differentiate z(m) wrt m.\n' | b'24*m**3\n' | b'Let h(r) be the first derivative of r**7/35 + 2*r**3/3 + r**2/2 + 3. Let z(o) be the second derivative of h(o). Differentiate z(m) wrt m.\n' | b'24*m**3\n' | deepmind/math_dataset |
b'Suppose 0 = 2*s + 2, -4*k - 4*s - 2 = 2. Let i(g) = k*g**2 - 3*g**2 + 2*g - 1 + 4*g**2 + 4*g**2. What is i(1)?\n' | b'6\n' | b'Suppose 0 = 2*s + 2, -4*k - 4*s - 2 = 2. Let i(g) = k*g**2 - 3*g**2 + 2*g - 1 + 4*g**2 + 4*g**2. What is i(1)?\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of sequence lllq when four letters picked without replacement from qllqllq.\n' | b'3/35\n' | b'Calculate prob of sequence lllq when four letters picked without replacement from qllqllq.\n' | b'3/35\n' | deepmind/math_dataset |
b'What is prob of sequence llsy when four letters picked without replacement from lslyyyyns?\n' | b'1/189\n' | b'What is prob of sequence llsy when four letters picked without replacement from lslyyyyns?\n' | b'1/189\n' | deepmind/math_dataset |
b'Let s = 3 + 7. Let h = -5 + s. Solve 0*k - 5*u = 4*k - 22, h*u = -2*k + 16 for k.\n' | b'3\n' | b'Let s = 3 + 7. Let h = -5 + s. Solve 0*k - 5*u = 4*k - 22, h*u = -2*k + 16 for k.\n' | b'3\n' | deepmind/math_dataset |
b'Let w(d) = -d**3 - 4*d**2 - 3*d - 1. Suppose 0 = -27*k + 22*k. Suppose k = 3*j - 7*j - 8. Determine w(j).\n' | b'-3\n' | b'Let w(d) = -d**3 - 4*d**2 - 3*d - 1. Suppose 0 = -27*k + 22*k. Suppose k = 3*j - 7*j - 8. Determine w(j).\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 3*m = -183 + 54. Let s = -40 - m. Solve r - 4*h + 9 + s = 0, 2*h - 20 = 4*r for r.\n' | b'-4\n' | b'Suppose 3*m = -183 + 54. Let s = -40 - m. Solve r - 4*h + 9 + s = 0, 2*h - 20 = 4*r for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Let j(s) be the first derivative of -9315*s**2/2 - 5432*s + 4198. What is the first derivative of j(l) wrt l?\n' | b'-9315\n' | b'Let j(s) be the first derivative of -9315*s**2/2 - 5432*s + 4198. What is the first derivative of j(l) wrt l?\n' | b'-9315\n' | deepmind/math_dataset |
b'Suppose -2*o = -3*s + 4, -3*o - s + 16 = -0*s. Let k(w) be the second derivative of -2*w**2 + o*w + 1/3*w**4 + 0 + 0*w**3. What is the derivative of k(x) wrt x?\n' | b'8*x\n' | b'Suppose -2*o = -3*s + 4, -3*o - s + 16 = -0*s. Let k(w) be the second derivative of -2*w**2 + o*w + 1/3*w**4 + 0 + 0*w**3. What is the derivative of k(x) wrt x?\n' | b'8*x\n' | deepmind/math_dataset |
b'Simplify ((l**(-8)*l)/(l/(l/(l/l**1)))*((l*l**(1/4)/l*l)/l)**(10/7))**(2/13) assuming l is positive.\n' | b'l**(-93/91)\n' | b'Simplify ((l**(-8)*l)/(l/(l/(l/l**1)))*((l*l**(1/4)/l*l)/l)**(10/7))**(2/13) assuming l is positive.\n' | b'l**(-93/91)\n' | deepmind/math_dataset |
b'Suppose 2*p = 59 - 15. Suppose 4*c - 38 = -p. Let g be (-1)/(-3) - 14/(-3). Solve -3*q - g*j + 2*j = -15, -20 = 3*q - c*j for q.\n' | b'0\n' | b'Suppose 2*p = 59 - 15. Suppose 4*c - 38 = -p. Let g be (-1)/(-3) - 14/(-3). Solve -3*q - g*j + 2*j = -15, -20 = 3*q - c*j for q.\n' | b'0\n' | deepmind/math_dataset |
b'Let w = -46 - -79. Suppose 4*y + 3*k + 21 = y, 0 = 5*y + 3*k + w. Let i(v) = -3*v**2 - 2 - 7*v + 2*v**2 + 6. Calculate i(y).\n' | b'10\n' | b'Let w = -46 - -79. Suppose 4*y + 3*k + 21 = y, 0 = 5*y + 3*k + w. Let i(v) = -3*v**2 - 2 - 7*v + 2*v**2 + 6. Calculate i(y).\n' | b'10\n' | deepmind/math_dataset |
b'Simplify ((q*q/q**0*q)**(2/129))**(6/11) assuming q is positive.\n' | b'q**(12/473)\n' | b'Simplify ((q*q/q**0*q)**(2/129))**(6/11) assuming q is positive.\n' | b'q**(12/473)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yhhyydhuff. Give prob of sequence yy.\n' | b'1/15\n' | b'Two letters picked without replacement from yhhyydhuff. Give prob of sequence yy.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let w(m) be the first derivative of -7*m**4/3 + 62*m**2 + 111*m + 21. Let v(b) be the first derivative of w(b). What is the derivative of v(c) wrt c?\n' | b'-56*c\n' | b'Let w(m) be the first derivative of -7*m**4/3 + 62*m**2 + 111*m + 21. Let v(b) be the first derivative of w(b). What is the derivative of v(c) wrt c?\n' | b'-56*c\n' | deepmind/math_dataset |
b'Suppose 0 = 13*t - 20*t + 63. What is the third derivative of -t*q**2 - 77*q**3 + 77*q**3 - 19*q**4 wrt q?\n' | b'-456*q\n' | b'Suppose 0 = 13*t - 20*t + 63. What is the third derivative of -t*q**2 - 77*q**3 + 77*q**3 - 19*q**4 wrt q?\n' | b'-456*q\n' | deepmind/math_dataset |
b'Let m(r) be the third derivative of 12*r + 0*r**5 + 0 + 0*r**7 + 1/168*r**8 - r**2 + 7/40*r**6 + 1/24*r**4 + 3/2*r**3. Find the second derivative of m(q) wrt q.\n' | b'40*q**3 + 126*q\n' | b'Let m(r) be the third derivative of 12*r + 0*r**5 + 0 + 0*r**7 + 1/168*r**8 - r**2 + 7/40*r**6 + 1/24*r**4 + 3/2*r**3. Find the second derivative of m(q) wrt q.\n' | b'40*q**3 + 126*q\n' | deepmind/math_dataset |
b'What is prob of picking 1 c and 1 x when two letters picked without replacement from cttxtxxc?\n' | b'3/14\n' | b'What is prob of picking 1 c and 1 x when two letters picked without replacement from cttxtxxc?\n' | b'3/14\n' | deepmind/math_dataset |
b'Simplify (x**(-1/6)*x*x*(x/(x/(x**(-2/3)*x)*x*x))/x)**39*(x**(4/5)*x**(1/5))**(1/3) assuming x is positive.\n' | b'x**(-193/6)\n' | b'Simplify (x**(-1/6)*x*x*(x/(x/(x**(-2/3)*x)*x*x))/x)**39*(x**(4/5)*x**(1/5))**(1/3) assuming x is positive.\n' | b'x**(-193/6)\n' | deepmind/math_dataset |
b'What is prob of sequence abb when three letters picked without replacement from aabaaafbbaabbabbaaba?\n' | b'77/855\n' | b'What is prob of sequence abb when three letters picked without replacement from aabaaafbbaabbabbaaba?\n' | b'77/855\n' | deepmind/math_dataset |
b'Let u = 8 + -1. Suppose -o = y - 5, y - o - 2*o + u = 0. Solve 5*a - 4 = -y*i, -1 = i - 5*a - 3 for i.\n' | b'2\n' | b'Let u = 8 + -1. Suppose -o = y - 5, y - o - 2*o + u = 0. Solve 5*a - 4 = -y*i, -1 = i - 5*a - 3 for i.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((u/(u/u**6*u))**(3/32)*(u**(-1)/u)/((u*u**(-10)*u)/u))**(-10) assuming u is positive.\n' | b'u**(-1195/16)\n' | b'Simplify ((u/(u/u**6*u))**(3/32)*(u**(-1)/u)/((u*u**(-10)*u)/u))**(-10) assuming u is positive.\n' | b'u**(-1195/16)\n' | deepmind/math_dataset |
b'Calculate prob of sequence jlj when three letters picked without replacement from jjljljjjjjjjljjj.\n' | b'39/280\n' | b'Calculate prob of sequence jlj when three letters picked without replacement from jjljljjjjjjjljjj.\n' | b'39/280\n' | deepmind/math_dataset |
b'Let s(p) = 5*p**2 + 29*p - 37. Let k be s(-7). Solve -l = -3*y + k, 3*l + 2*y = 2*l - 5 for l.\n' | b'-5\n' | b'Let s(p) = 5*p**2 + 29*p - 37. Let k be s(-7). Solve -l = -3*y + k, 3*l + 2*y = 2*l - 5 for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence nu when two letters picked without replacement from {u: 4, p: 2, n: 1, t: 2}.\n' | b'1/18\n' | b'Calculate prob of sequence nu when two letters picked without replacement from {u: 4, p: 2, n: 1, t: 2}.\n' | b'1/18\n' | deepmind/math_dataset |
b'Simplify (q**(1/3))**50/((q/q**(-3))/q)**31 assuming q is positive.\n' | b'q**(-229/3)\n' | b'Simplify (q**(1/3))**50/((q/q**(-3))/q)**31 assuming q is positive.\n' | b'q**(-229/3)\n' | deepmind/math_dataset |
b'Let g(l) be the second derivative of 3/10*l**6 + 2*l - 6 - 1/20*l**5 - 5/6*l**3 + 0*l**2 + 3/2*l**4. Find the third derivative of g(p) wrt p.\n' | b'216*p - 6\n' | b'Let g(l) be the second derivative of 3/10*l**6 + 2*l - 6 - 1/20*l**5 - 5/6*l**3 + 0*l**2 + 3/2*l**4. Find the third derivative of g(p) wrt p.\n' | b'216*p - 6\n' | deepmind/math_dataset |
b'What is the third derivative of -w**4 + 148*w**2 + 180*w**6 + 79*w**6 + 57*w**6 wrt w?\n' | b'37920*w**3 - 24*w\n' | b'What is the third derivative of -w**4 + 148*w**2 + 180*w**6 + 79*w**6 + 57*w**6 wrt w?\n' | b'37920*w**3 - 24*w\n' | deepmind/math_dataset |
b'Simplify (((s*s/s**0*s**9*s)**(-39))**(2/83))**(-5/4) assuming s is positive.\n' | b's**(1170/83)\n' | b'Simplify (((s*s/s**0*s**9*s)**(-39))**(2/83))**(-5/4) assuming s is positive.\n' | b's**(1170/83)\n' | deepmind/math_dataset |
b'Let q(l) be the third derivative of l**8/112 + 2*l**4/3 - 23*l**2. What is the second derivative of q(d) wrt d?\n' | b'60*d**3\n' | b'Let q(l) be the third derivative of l**8/112 + 2*l**4/3 - 23*l**2. What is the second derivative of q(d) wrt d?\n' | b'60*d**3\n' | deepmind/math_dataset |
b'Let s = 20 - 9. Suppose -6*x = -s*x. Solve -2*b = 3*j - 5, x = -0*j + 2*j + 2*b - 4 for j.\n' | b'1\n' | b'Let s = 20 - 9. Suppose -6*x = -s*x. Solve -2*b = 3*j - 5, x = -0*j + 2*j + 2*b - 4 for j.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence viii when four letters picked without replacement from {i: 9, v: 5}.\n' | b'15/143\n' | b'Calculate prob of sequence viii when four letters picked without replacement from {i: 9, v: 5}.\n' | b'15/143\n' | deepmind/math_dataset |
b'Let x(t) be the first derivative of -3103*t**4/4 + 5158*t - 7642. Find the first derivative of x(a) wrt a.\n' | b'-9309*a**2\n' | b'Let x(t) be the first derivative of -3103*t**4/4 + 5158*t - 7642. Find the first derivative of x(a) wrt a.\n' | b'-9309*a**2\n' | deepmind/math_dataset |
b'Let x(v) be the second derivative of -1425*v**4/4 - 2743*v**3/6 - 2*v - 1617. Find the second derivative of x(y) wrt y.\n' | b'-8550\n' | b'Let x(v) be the second derivative of -1425*v**4/4 - 2743*v**3/6 - 2*v - 1617. Find the second derivative of x(y) wrt y.\n' | b'-8550\n' | deepmind/math_dataset |
b'Let z(u) = -u**2 - 16*u + 9. Let d be z(-13). Let p = d - 77. Let c = p - -29. Solve -3*l - b - b = 0, c = -3*b for l.\n' | b'0\n' | b'Let z(u) = -u**2 - 16*u + 9. Let d be z(-13). Let p = d - 77. Let c = p - -29. Solve -3*l - b - b = 0, c = -3*b for l.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify b**(-2/47)/b**(4/11)*(b**(-10))**(16/5) assuming b is positive.\n' | b'b**(-16754/517)\n' | b'Simplify b**(-2/47)/b**(4/11)*(b**(-10))**(16/5) assuming b is positive.\n' | b'b**(-16754/517)\n' | deepmind/math_dataset |
b'Calculate prob of sequence fb when two letters picked without replacement from qqbqbbqbbbbfqqqqqbqb.\n' | b'9/380\n' | b'Calculate prob of sequence fb when two letters picked without replacement from qqbqbbqbbbbfqqqqqbqb.\n' | b'9/380\n' | deepmind/math_dataset |
b'Let k = 584 - 571. Find the second derivative of 135*o + k*o**2 - 110*o + 61*o - o**3 wrt o.\n' | b'-6*o + 26\n' | b'Let k = 584 - 571. Find the second derivative of 135*o + k*o**2 - 110*o + 61*o - o**3 wrt o.\n' | b'-6*o + 26\n' | deepmind/math_dataset |
b'Suppose 9 = 2*h - 31. Suppose 3*d + 13442 = -4*g + 13476, 0 = -d + 6. Solve n - f - f = -g, 5*f = h for n.\n' | b'4\n' | b'Suppose 9 = 2*h - 31. Suppose 3*d + 13442 = -4*g + 13476, 0 = -d + 6. Solve n - f - f = -g, 5*f = h for n.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xzqcnzd. What is prob of sequence dq?\n' | b'1/42\n' | b'Two letters picked without replacement from xzqcnzd. What is prob of sequence dq?\n' | b'1/42\n' | deepmind/math_dataset |
b'Simplify r**(-36)*r**(-35)/r assuming r is positive.\n' | b'r**(-72)\n' | b'Simplify r**(-36)*r**(-35)/r assuming r is positive.\n' | b'r**(-72)\n' | deepmind/math_dataset |
b'Let p(h) be the second derivative of -1/2*h**3 + 0 - 7*h + 7/2*h**2. What is p(6)?\n' | b'-11\n' | b'Let p(h) be the second derivative of -1/2*h**3 + 0 - 7*h + 7/2*h**2. What is p(6)?\n' | b'-11\n' | deepmind/math_dataset |
b'Three letters picked without replacement from euqst. Give prob of picking 2 t and 1 e.\n' | b'0\n' | b'Three letters picked without replacement from euqst. Give prob of picking 2 t and 1 e.\n' | b'0\n' | deepmind/math_dataset |
b'Let z(o) = -o**3 - 9*o**2 - 11*o + 74. Let i(n) = n**3 + 10*n**2 + 11*n - 63. Let p(f) = 5*i(f) + 4*z(f). Calculate p(-13).\n' | b'7\n' | b'Let z(o) = -o**3 - 9*o**2 - 11*o + 74. Let i(n) = n**3 + 10*n**2 + 11*n - 63. Let p(f) = 5*i(f) + 4*z(f). Calculate p(-13).\n' | b'7\n' | deepmind/math_dataset |
b'Let d be (2 + (-10)/3)*(-102)/17. Suppose -10 = -3*i + d. Suppose -i*y + y + 5 = 0. Let l(s) = s. What is l(y)?\n' | b'1\n' | b'Let d be (2 + (-10)/3)*(-102)/17. Suppose -10 = -3*i + d. Suppose -i*y + y + 5 = 0. Let l(s) = s. What is l(y)?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence jv when two letters picked without replacement from pjvjjjpp?\n' | b'1/14\n' | b'What is prob of sequence jv when two letters picked without replacement from pjvjjjpp?\n' | b'1/14\n' | deepmind/math_dataset |
b'Let b(n) be the third derivative of -n**6/120 + n**3/6 + 6*n**2. Let i be b(1). Solve -3*w = i, -4*a - 3*w + 4 = 12 for a.\n' | b'-2\n' | b'Let b(n) be the third derivative of -n**6/120 + n**3/6 + 6*n**2. Let i be b(1). Solve -3*w = i, -4*a - 3*w + 4 = 12 for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Let p = -503 - -511. Solve -d - 5*q - 2 = -2*d, 0 = -3*d + q - p for d.\n' | b'-3\n' | b'Let p = -503 - -511. Solve -d - 5*q - 2 = -2*d, 0 = -3*d + q - p for d.\n' | b'-3\n' | deepmind/math_dataset |
b'Let j = -5 + 9. Suppose -5*a = -4*s + 27, -3*a = 4*s - s. Differentiate -j - s - 8*z + z wrt z.\n' | b'-7\n' | b'Let j = -5 + 9. Suppose -5*a = -4*s + 27, -3*a = 4*s - s. Differentiate -j - s - 8*z + z wrt z.\n' | b'-7\n' | deepmind/math_dataset |
b'Let r(g) be the first derivative of 0*g + 23/2*g**2 + 0*g**4 + 8/5*g**5 + 2 + 0*g**3. Find the second derivative of r(y) wrt y.\n' | b'96*y**2\n' | b'Let r(g) be the first derivative of 0*g + 23/2*g**2 + 0*g**4 + 8/5*g**5 + 2 + 0*g**3. Find the second derivative of r(y) wrt y.\n' | b'96*y**2\n' | deepmind/math_dataset |
b'Let l(k) be the second derivative of -k**6/40 + 2*k**5/15 + 7*k**2/2 + 4*k. Let y(s) be the first derivative of l(s). Find the third derivative of y(x) wrt x.\n' | b'-18\n' | b'Let l(k) be the second derivative of -k**6/40 + 2*k**5/15 + 7*k**2/2 + 4*k. Let y(s) be the first derivative of l(s). Find the third derivative of y(x) wrt x.\n' | b'-18\n' | deepmind/math_dataset |
b'Let p(u) be the second derivative of -u**3/6 - u**2/2 - u. What is p(-5)?\n' | b'4\n' | b'Let p(u) be the second derivative of -u**3/6 - u**2/2 - u. What is p(-5)?\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 19, z: 1}. Give prob of sequence zii.\n' | b'1/20\n' | b'Three letters picked without replacement from {i: 19, z: 1}. Give prob of sequence zii.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let w be (1 + -5)*(-6)/(-8). Let q(g) = -4*g - 31. Let d(i) = -i - 7. Let j(v) = 5*d(v) - q(v). What is j(w)?\n' | b'-1\n' | b'Let w be (1 + -5)*(-6)/(-8). Let q(g) = -4*g - 31. Let d(i) = -i - 7. Let j(v) = 5*d(v) - q(v). What is j(w)?\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 2, s: 3}. Give prob of picking 2 r.\n' | b'1/10\n' | b'Two letters picked without replacement from {r: 2, s: 3}. Give prob of picking 2 r.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify z**(-9)*z**(1/2)*(z**(-1/2))**(-49) assuming z is positive.\n' | b'z**16\n' | b'Simplify z**(-9)*z**(1/2)*(z**(-1/2))**(-49) assuming z is positive.\n' | b'z**16\n' | deepmind/math_dataset |
b'Simplify ((z**(2/7))**(-42)*(z/z**5)/z*(z**(-5)/z*z*z)/z)/((z/(z/(z/z**(2/5))))**(-38))**(-19) assuming z is positive.\n' | b'z**(-2276/5)\n' | b'Simplify ((z**(2/7))**(-42)*(z/z**5)/z*(z**(-5)/z*z*z)/z)/((z/(z/(z/z**(2/5))))**(-38))**(-19) assuming z is positive.\n' | b'z**(-2276/5)\n' | deepmind/math_dataset |
b'Simplify x/(x/(x/(x/x**(-2/29)*x))*x)*x**12 assuming x is positive.\n' | b'x**(288/29)\n' | b'Simplify x/(x/(x/(x/x**(-2/29)*x))*x)*x**12 assuming x is positive.\n' | b'x**(288/29)\n' | deepmind/math_dataset |
b'Let z(x) = 1 + 6*x**4 - 28*x**4 - 2*x**2 + 20*x**4. Let s(v) = 3*v**4 + 4*v**2 - 152*v - 63. Let f(g) = -s(g) - 2*z(g). Differentiate f(a) wrt a.\n' | b'4*a**3 + 152\n' | b'Let z(x) = 1 + 6*x**4 - 28*x**4 - 2*x**2 + 20*x**4. Let s(v) = 3*v**4 + 4*v**2 - 152*v - 63. Let f(g) = -s(g) - 2*z(g). Differentiate f(a) wrt a.\n' | b'4*a**3 + 152\n' | deepmind/math_dataset |
b'Let t(l) be the first derivative of l**8/168 - 2*l**4/3 + 21*l**2/2 - 21. Let i(f) be the second derivative of t(f). Find the second derivative of i(h) wrt h.\n' | b'40*h**3\n' | b'Let t(l) be the first derivative of l**8/168 - 2*l**4/3 + 21*l**2/2 - 21. Let i(f) be the second derivative of t(f). Find the second derivative of i(h) wrt h.\n' | b'40*h**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ppncnmnnasnnasppspsa. Give prob of sequence appp.\n' | b'1/646\n' | b'Four letters picked without replacement from ppncnmnnasnnasppspsa. Give prob of sequence appp.\n' | b'1/646\n' | deepmind/math_dataset |
b'Suppose -k + 19 = 3*a + k, 3*a - 23 = -4*k. Let q = 34 - 32. Find the first derivative of -2*c - q*c - 12 - a wrt c.\n' | b'-4\n' | b'Suppose -k + 19 = 3*a + k, 3*a - 23 = -4*k. Let q = 34 - 32. Find the first derivative of -2*c - q*c - 12 - a wrt c.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -344*h = -345*h - 6. Let w(x) = 3*x**2 - 5*x + 67 - 65 - 2*x**2 - 2*x**2. Calculate w(h).\n' | b'-4\n' | b'Suppose -344*h = -345*h - 6. Let w(x) = 3*x**2 - 5*x + 67 - 65 - 2*x**2 - 2*x**2. Calculate w(h).\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence hdy when three letters picked without replacement from dtthfhfhhy?\n' | b'1/180\n' | b'What is prob of sequence hdy when three letters picked without replacement from dtthfhfhhy?\n' | b'1/180\n' | deepmind/math_dataset |
b'Let r(a) be the first derivative of 1/4*a**4 + 11 + 2*a**3 - 2*a**2 - 6*a. Determine r(-6).\n' | b'18\n' | b'Let r(a) be the first derivative of 1/4*a**4 + 11 + 2*a**3 - 2*a**2 - 6*a. Determine r(-6).\n' | b'18\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 p when three letters picked without replacement from pppp.\n' | b'1\n' | b'Calculate prob of picking 3 p when three letters picked without replacement from pppp.\n' | b'1\n' | deepmind/math_dataset |
b'Let v(q) = -4*q**3 + 2*q**2 + q - 2. Let g be v(-1). Solve -5*k = -15, g*f = -k + 4*k - 6 for f.\n' | b'1\n' | b'Let v(q) = -4*q**3 + 2*q**2 + q - 2. Let g be v(-1). Solve -5*k = -15, g*f = -k + 4*k - 6 for f.\n' | b'1\n' | deepmind/math_dataset |
b'Let s(q) = 2*q - 1. Suppose -j + 13 - 11 = 0. Suppose y + j*x = 13, 5*x - 39 = -14. Determine s(y).\n' | b'5\n' | b'Let s(q) = 2*q - 1. Suppose -j + 13 - 11 = 0. Suppose y + j*x = 13, 5*x - 39 = -14. Determine s(y).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (k**(-14)*k/(k*k*k**(2/37)*k))**(1/21) assuming k is positive.\n' | b'k**(-198/259)\n' | b'Simplify (k**(-14)*k/(k*k*k**(2/37)*k))**(1/21) assuming k is positive.\n' | b'k**(-198/259)\n' | deepmind/math_dataset |
b'Let q(g) = g**3 - g**2 - 2*g + 15. Let o be q(0). Suppose -o*d + 10*d + 25 = 0. Solve -d*j + 7 = 3*n, 5*n + 4*j - 15 = -j for n.\n' | b'4\n' | b'Let q(g) = g**3 - g**2 - 2*g + 15. Let o be q(0). Suppose -o*d + 10*d + 25 = 0. Solve -d*j + 7 = 3*n, 5*n + 4*j - 15 = -j for n.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 2, a: 1, e: 2, q: 2, n: 1, j: 1}. What is prob of sequence eb?\n' | b'1/18\n' | b'Two letters picked without replacement from {b: 2, a: 1, e: 2, q: 2, n: 1, j: 1}. What is prob of sequence eb?\n' | b'1/18\n' | deepmind/math_dataset |
b'Let v(o) be the third derivative of 5/6*o**3 + 0 + 0*o + 1/24*o**4 - 3*o**2. What is v(-5)?\n' | b'0\n' | b'Let v(o) be the third derivative of 5/6*o**3 + 0 + 0*o + 1/24*o**4 - 3*o**2. What is v(-5)?\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 3, r: 5}. Give prob of sequence ww.\n' | b'3/28\n' | b'Two letters picked without replacement from {w: 3, r: 5}. Give prob of sequence ww.\n' | b'3/28\n' | deepmind/math_dataset |
b'Simplify ((q/(((q*q**5)/q*q)/q)*q)**(7/3)*((q*q**(-4))/q*q*q)**(-41/3))**(-2/29) assuming q is positive.\n' | b'q**(-122/87)\n' | b'Simplify ((q/(((q*q**5)/q*q)/q)*q)**(7/3)*((q*q**(-4))/q*q*q)**(-41/3))**(-2/29) assuming q is positive.\n' | b'q**(-122/87)\n' | deepmind/math_dataset |
b'Let j(s) = -s**3 + 5*s**2 + 7*s + 5. Let b be j(6). Suppose -4*q - a = -b, 10 = 5*q + 2*a + 3*a. Solve -3*d - 15 = q*o, d = 3*o - 2*d - 9 for o.\n' | b'-1\n' | b'Let j(s) = -s**3 + 5*s**2 + 7*s + 5. Let b be j(6). Suppose -4*q - a = -b, 10 = 5*q + 2*a + 3*a. Solve -3*d - 15 = q*o, d = 3*o - 2*d - 9 for o.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 2, t: 1}. Give prob of sequence mtm.\n' | b'1/3\n' | b'Three letters picked without replacement from {m: 2, t: 1}. Give prob of sequence mtm.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let m(s) be the third derivative of s**6/40 + s**4/8 + 6*s**2. What is the second derivative of m(b) wrt b?\n' | b'18*b\n' | b'Let m(s) be the third derivative of s**6/40 + s**4/8 + 6*s**2. What is the second derivative of m(b) wrt b?\n' | b'18*b\n' | deepmind/math_dataset |
b'Let v(a) = a**2 - 68*a + 5. Let f be v(0). Solve 4*n + 9*s = f*s - 4, -3*n + 3*s = -3 for n.\n' | b'0\n' | b'Let v(a) = a**2 - 68*a + 5. Let f be v(0). Solve 4*n + 9*s = f*s - 4, -3*n + 3*s = -3 for n.\n' | b'0\n' | deepmind/math_dataset |
b'Let q be -2 + 11*-2 + 2. Let t = 38 + q. Suppose i - t = 6. Solve 4*g = 3*p + 14 - 43, 4*p = 2*g + i for p.\n' | b'3\n' | b'Let q be -2 + 11*-2 + 2. Let t = 38 + q. Suppose i - t = 6. Solve 4*g = 3*p + 14 - 43, 4*p = 2*g + i for p.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (((r**0)**(2/9)*r/r**1*r*(r/r**(2/13)*r)/r)**(2/7))**(-3/19) assuming r is positive.\n' | b'r**(-144/1729)\n' | b'Simplify (((r**0)**(2/9)*r/r**1*r*(r/r**(2/13)*r)/r)**(2/7))**(-3/19) assuming r is positive.\n' | b'r**(-144/1729)\n' | deepmind/math_dataset |
b'Let j = 1 + 3. What is the first derivative of -v - 7*v + j + 4*v wrt v?\n' | b'-4\n' | b'Let j = 1 + 3. What is the first derivative of -v - 7*v + j + 4*v wrt v?\n' | b'-4\n' | deepmind/math_dataset |
b'Let i(s) = -26*s**2 + 183*s - 5. Let t be i(7). Solve -t*c + 3 = -2*q - q, -15 = 5*c for q.\n' | b'-3\n' | b'Let i(s) = -26*s**2 + 183*s - 5. Let t be i(7). Solve -t*c + 3 = -2*q - q, -15 = 5*c for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (x**(-1/12)*x)/x**(-3/2) assuming x is positive.\n' | b'x**(29/12)\n' | b'Simplify (x**(-1/12)*x)/x**(-3/2) assuming x is positive.\n' | b'x**(29/12)\n' | deepmind/math_dataset |
b'Simplify (w*w**(-1/8)*w**(1/5)*w)/((w/(w*w**(-3/13)))/(w/w**(-33))) assuming w is positive.\n' | b'w**(18639/520)\n' | b'Simplify (w*w**(-1/8)*w**(1/5)*w)/((w/(w*w**(-3/13)))/(w/w**(-33))) assuming w is positive.\n' | b'w**(18639/520)\n' | deepmind/math_dataset |
b'Let w(u) = 3*u**2 - u**2 - 1 - 2*u + 3. Suppose -h = 2*h + 4*o - 5, 0 = 5*o + 5. Let r be w(h). Solve -5*p + r = 2*c, -p + 0*p = -c for c.\n' | b'2\n' | b'Let w(u) = 3*u**2 - u**2 - 1 - 2*u + 3. Suppose -h = 2*h + 4*o - 5, 0 = 5*o + 5. Let r be w(h). Solve -5*p + r = 2*c, -p + 0*p = -c for c.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 2 g when two letters picked without replacement from yggggyyggyg?\n' | b'21/55\n' | b'What is prob of picking 2 g when two letters picked without replacement from yggggyyggyg?\n' | b'21/55\n' | deepmind/math_dataset |
b'Let b(s) = -s - 3. Let h be 22/(-6) + 1/(-3). Suppose -28 = 5*v - 7*v. Let c be (-1)/2 - v/h. What is b(c)?\n' | b'-6\n' | b'Let b(s) = -s - 3. Let h be 22/(-6) + 1/(-3). Suppose -28 = 5*v - 7*v. Let c be (-1)/2 - v/h. What is b(c)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let t be ((-246)/5)/((-6)/20). Let h be t/14 - 2/(-7). Suppose 2*u = -2*a + h, -a + 6*u - 14 = 2*u. Solve 0 = -3*o + 4*y + a, 2*y + 20 = -5*o + 6 for o.\n' | b'-2\n' | b'Let t be ((-246)/5)/((-6)/20). Let h be t/14 - 2/(-7). Suppose 2*u = -2*a + h, -a + 6*u - 14 = 2*u. Solve 0 = -3*o + 4*y + a, 2*y + 20 = -5*o + 6 for o.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (u**(-1/8)*u*u**(-3))/(u/u**(-1/8)*u*u*u*u*u/(u*u/((u**9*u)/u))*u*u) assuming u is positive.\n' | b'u**(-69/4)\n' | b'Simplify (u**(-1/8)*u*u**(-3))/(u/u**(-1/8)*u*u*u*u*u/(u*u/((u**9*u)/u))*u*u) assuming u is positive.\n' | b'u**(-69/4)\n' | deepmind/math_dataset |
b'Let z(k) be the third derivative of 13*k**6/60 - 13*k**4/12 - 5*k**2 - 2. What is the second derivative of z(c) wrt c?\n' | b'156*c\n' | b'Let z(k) be the third derivative of 13*k**6/60 - 13*k**4/12 - 5*k**2 - 2. What is the second derivative of z(c) wrt c?\n' | b'156*c\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 4, l: 4, g: 1, d: 2, n: 6, x: 2}. What is prob of sequence nlgd?\n' | b'1/1938\n' | b'Four letters picked without replacement from {q: 4, l: 4, g: 1, d: 2, n: 6, x: 2}. What is prob of sequence nlgd?\n' | b'1/1938\n' | deepmind/math_dataset |
b'Simplify (((t*t**1)/t*t*t)/(t*t**14*t*t))**10 assuming t is positive.\n' | b't**(-140)\n' | b'Simplify (((t*t**1)/t*t*t)/(t*t**14*t*t))**10 assuming t is positive.\n' | b't**(-140)\n' | deepmind/math_dataset |
b'Let y(m) be the first derivative of -m**4/4 + 5*m**3/3 + 5*m**2/2 - m - 541. Let z be (-2 + -1 + 9)*1. Give y(z).\n' | b'-7\n' | b'Let y(m) be the first derivative of -m**4/4 + 5*m**3/3 + 5*m**2/2 - m - 541. Let z be (-2 + -1 + 9)*1. Give y(z).\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify ((x**(2/5))**(-24/11))**26 assuming x is positive.\n' | b'x**(-1248/55)\n' | b'Simplify ((x**(2/5))**(-24/11))**26 assuming x is positive.\n' | b'x**(-1248/55)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xxjxjxxxxjxjjxxxxxx. Give prob of picking 3 x and 1 j.\n' | b'455/969\n' | b'Four letters picked without replacement from xxjxjxxxxjxjjxxxxxx. Give prob of picking 3 x and 1 j.\n' | b'455/969\n' | deepmind/math_dataset |
b'Let n(z) = 51*z - 17*z + 27*z**2 - 18*z - 18*z - 1. Let x = -2 + 1. Give n(x).\n' | b'28\n' | b'Let n(z) = 51*z - 17*z + 27*z**2 - 18*z - 18*z - 1. Let x = -2 + 1. Give n(x).\n' | b'28\n' | deepmind/math_dataset |
b'Let h(g) = g**2 - 1. Let p(t) = 4*t**3 + 6*t**2 + t - 5. Let x(c) = 5*h(c) - p(c). Let n be x(-1). Solve -n*v + 18 = 2*d, -5*d + 15 = v - d for v.\n' | b'3\n' | b'Let h(g) = g**2 - 1. Let p(t) = 4*t**3 + 6*t**2 + t - 5. Let x(c) = 5*h(c) - p(c). Let n be x(-1). Solve -n*v + 18 = 2*d, -5*d + 15 = v - d for v.\n' | b'3\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.