question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'What is prob of sequence lw when two letters picked without replacement from wlxxlil?\n' | b'1/14\n' | b'What is prob of sequence lw when two letters picked without replacement from wlxxlil?\n' | b'1/14\n' | deepmind/math_dataset |
b'Let g(c) = c + 1. Suppose -7*z - 8 + 92 = 0. Let u be ((-2)/(-3))/(z/90)*1. Suppose 0 = -3*o - d - 3, -u = -6*o + 11*o + 5*d. Calculate g(o).\n' | b'0\n' | b'Let g(c) = c + 1. Suppose -7*z - 8 + 92 = 0. Let u be ((-2)/(-3))/(z/90)*1. Suppose 0 = -3*o - d - 3, -u = -6*o + 11*o + 5*d. Calculate g(o).\n' | b'0\n' | deepmind/math_dataset |
b'Let p = 14 + -16. Let u be p/5 + 3 + (-210)/(-25). Solve -4*j = -v - u, v - 6 + 1 = 0 for j.\n' | b'4\n' | b'Let p = 14 + -16. Let u be p/5 + 3 + (-210)/(-25). Solve -4*j = -v - u, v - 6 + 1 = 0 for j.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify b**(-24)/(b**(-25)/b) assuming b is positive.\n' | b'b**2\n' | b'Simplify b**(-24)/(b**(-25)/b) assuming b is positive.\n' | b'b**2\n' | deepmind/math_dataset |
b'Simplify ((k**(2/7)/k)**(-1/20))**43/((k/((k*k**(-4)*k)/k))/(k*(k*k/(((k*((k*k**(-3/8))/k)/k)/k)/k))/k))**49 assuming k is positive.\n' | b'k**(1115/56)\n' | b'Simplify ((k**(2/7)/k)**(-1/20))**43/((k/((k*k**(-4)*k)/k))/(k*(k*k/(((k*((k*k**(-3/8))/k)/k)/k)/k))/k))**49 assuming k is positive.\n' | b'k**(1115/56)\n' | deepmind/math_dataset |
b'Simplify j/j**(-13/3)*((j**(8/13)/j)/j)/j assuming j is positive.\n' | b'j**(115/39)\n' | b'Simplify j/j**(-13/3)*((j**(8/13)/j)/j)/j assuming j is positive.\n' | b'j**(115/39)\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 1 c when two letters picked without replacement from hhphhghhxchgphhhghh?\n' | b'1/57\n' | b'What is prob of picking 1 g and 1 c when two letters picked without replacement from hhphhghhxchgphhhghh?\n' | b'1/57\n' | deepmind/math_dataset |
b'Let f(u) = u - 6. Let i be f(5). Let h = i - -7. What is the derivative of -6*x**2 - 6*x**2 + h + 4*x**2 - 5 wrt x?\n' | b'-16*x\n' | b'Let f(u) = u - 6. Let i be f(5). Let h = i - -7. What is the derivative of -6*x**2 - 6*x**2 + h + 4*x**2 - 5 wrt x?\n' | b'-16*x\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gvtv. Give prob of sequence gt.\n' | b'1/12\n' | b'Two letters picked without replacement from gvtv. Give prob of sequence gt.\n' | b'1/12\n' | deepmind/math_dataset |
b'Calculate prob of sequence uv when two letters picked without replacement from tuvujjvjvvjtvvvjvvjv.\n' | b'1/19\n' | b'Calculate prob of sequence uv when two letters picked without replacement from tuvujjvjvvjtvvvjvvjv.\n' | b'1/19\n' | deepmind/math_dataset |
b'Find the second derivative of -7*a**2 + 64225 - 64225 + 411*a - 115*a + 7*a**4 wrt a.\n' | b'84*a**2 - 14\n' | b'Find the second derivative of -7*a**2 + 64225 - 64225 + 411*a - 115*a + 7*a**4 wrt a.\n' | b'84*a**2 - 14\n' | deepmind/math_dataset |
b'Let c = -23 + 46. Suppose 5*w = 2*d - 25, -3*w = 28*d - 32*d + 15. Solve -2*x - 3*r = 5 - c, 4*x + 4*r - 28 = d for x.\n' | b'3\n' | b'Let c = -23 + 46. Suppose 5*w = 2*d - 25, -3*w = 28*d - 32*d + 15. Solve -2*x - 3*r = 5 - c, 4*x + 4*r - 28 = d for x.\n' | b'3\n' | deepmind/math_dataset |
b'Let x(p) = -5*p - 2. Let n(a) = -4*a - 1. Let c(w) = -3*n(w) + 2*x(w). Let k be -1 - 76/8*-2. Let s = -14 + k. What is c(s)?\n' | b'7\n' | b'Let x(p) = -5*p - 2. Let n(a) = -4*a - 1. Let c(w) = -3*n(w) + 2*x(w). Let k be -1 - 76/8*-2. Let s = -14 + k. What is c(s)?\n' | b'7\n' | deepmind/math_dataset |
b'Calculate prob of sequence fv when two letters picked without replacement from fvfvljfjfj.\n' | b'4/45\n' | b'Calculate prob of sequence fv when two letters picked without replacement from fvfvljfjfj.\n' | b'4/45\n' | deepmind/math_dataset |
b'Let c(b) = -b**3 + 5*b**2 + 6*b + 5. Let w be 8/12 + (-16)/(-3). Let r be c(w). Let q be 2 - (-2 - 0/2). Solve q = -a + l + 5, -l - 19 = r*a for a.\n' | b'-3\n' | b'Let c(b) = -b**3 + 5*b**2 + 6*b + 5. Let w be 8/12 + (-16)/(-3). Let r be c(w). Let q be 2 - (-2 - 0/2). Solve q = -a + l + 5, -l - 19 = r*a for a.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lfpppllplfpplpfp. What is prob of sequence llll?\n' | b'1/364\n' | b'Four letters picked without replacement from lfpppllplfpplpfp. What is prob of sequence llll?\n' | b'1/364\n' | deepmind/math_dataset |
b'Simplify (r*r**(-15)/r)**(-45)*r**11*r**(2/7) assuming r is positive.\n' | b'r**(4804/7)\n' | b'Simplify (r*r**(-15)/r)**(-45)*r**11*r**(2/7) assuming r is positive.\n' | b'r**(4804/7)\n' | deepmind/math_dataset |
b'Let f(a) = -2*a**3 - a**2 + 13*a - 1. Let b(i) = -i**3 - i**2 + 7*i - 1. Let h(n) = -7*b(n) + 4*f(n). Determine h(4).\n' | b'-1\n' | b'Let f(a) = -2*a**3 - a**2 + 13*a - 1. Let b(i) = -i**3 - i**2 + 7*i - 1. Let h(n) = -7*b(n) + 4*f(n). Determine h(4).\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 12, e: 6}. What is prob of sequence eeee?\n' | b'1/204\n' | b'Four letters picked without replacement from {d: 12, e: 6}. What is prob of sequence eeee?\n' | b'1/204\n' | deepmind/math_dataset |
b'Three letters picked without replacement from eveseovosoee. What is prob of picking 1 o and 2 e?\n' | b'3/22\n' | b'Three letters picked without replacement from eveseovosoee. What is prob of picking 1 o and 2 e?\n' | b'3/22\n' | deepmind/math_dataset |
b'Let h(c) = c**3 + 7*c**2 + 4*c + 9. Let b(p) = 34*p - 1162. Let q be b(34). What is h(q)?\n' | b'21\n' | b'Let h(c) = c**3 + 7*c**2 + 4*c + 9. Let b(p) = 34*p - 1162. Let q be b(34). What is h(q)?\n' | b'21\n' | deepmind/math_dataset |
b'Simplify (y*y*y**(6/11)*y*y*y*y*y*y/y**(-2/5)*(y**(-6))**(2/129))**(-11/8) assuming y is positive.\n' | b'y**(-2617/215)\n' | b'Simplify (y*y*y**(6/11)*y*y*y*y*y*y/y**(-2/5)*(y**(-6))**(2/129))**(-11/8) assuming y is positive.\n' | b'y**(-2617/215)\n' | deepmind/math_dataset |
b'Simplify w**(5/4)*w*w**7/w*w*w**(1/3)*w/w**0 assuming w is positive.\n' | b'w**(127/12)\n' | b'Simplify w**(5/4)*w*w**7/w*w*w**(1/3)*w/w**0 assuming w is positive.\n' | b'w**(127/12)\n' | deepmind/math_dataset |
b'Let x(k) = k**3 - 16*k**2 + 41*k - 26. Let z be x(13). Solve z = m + 4*q + 13, -3*q - q = 4*m + 4 for m.\n' | b'3\n' | b'Let x(k) = k**3 - 16*k**2 + 41*k - 26. Let z be x(13). Solve z = m + 4*q + 13, -3*q - q = 4*m + 4 for m.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q, 1 c, and 2 g when four letters picked without replacement from gcccggggcq.\n' | b'4/21\n' | b'Calculate prob of picking 1 q, 1 c, and 2 g when four letters picked without replacement from gcccggggcq.\n' | b'4/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence dj when two letters picked without replacement from dddddddjjdjddjdjdj.\n' | b'4/17\n' | b'Calculate prob of sequence dj when two letters picked without replacement from dddddddjjdjddjdjdj.\n' | b'4/17\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 1 z when two letters picked without replacement from zjzjjzjezz?\n' | b'1/9\n' | b'What is prob of picking 1 e and 1 z when two letters picked without replacement from zjzjjzjezz?\n' | b'1/9\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 7, d: 4, w: 6}. Give prob of picking 2 d and 2 w.\n' | b'9/238\n' | b'Four letters picked without replacement from {y: 7, d: 4, w: 6}. Give prob of picking 2 d and 2 w.\n' | b'9/238\n' | deepmind/math_dataset |
b'Let p(d) = -19*d**3 + 2*d - 1. Let i(q) = 18*q**3 - 3*q + 1. Let a(o) = -3*i(o) - 4*p(o). Determine a(-1).\n' | b'-22\n' | b'Let p(d) = -19*d**3 + 2*d - 1. Let i(q) = 18*q**3 - 3*q + 1. Let a(o) = -3*i(o) - 4*p(o). Determine a(-1).\n' | b'-22\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 1 i when two letters picked without replacement from {i: 1, o: 1, x: 1}?\n' | b'1/3\n' | b'What is prob of picking 1 o and 1 i when two letters picked without replacement from {i: 1, o: 1, x: 1}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Suppose -3 - 29 = -8*f. Suppose -f*a + 48 = 6*d - 10*d, 0 = -a + 4*d + 12. Let y(s) = -2*s + 14. Give y(a).\n' | b'-10\n' | b'Suppose -3 - 29 = -8*f. Suppose -f*a + 48 = 6*d - 10*d, 0 = -a + 4*d + 12. Let y(s) = -2*s + 14. Give y(a).\n' | b'-10\n' | deepmind/math_dataset |
b'Let k(v) = v**2 + 3*v - 3. Suppose -5*q + r + 2 = 0, -4*r = 4*q - 0*r + 8. Let a = -5 - q. What is k(a)?\n' | b'7\n' | b'Let k(v) = v**2 + 3*v - 3. Suppose -5*q + r + 2 = 0, -4*r = 4*q - 0*r + 8. Let a = -5 - q. What is k(a)?\n' | b'7\n' | deepmind/math_dataset |
b'Let s(m) = 7*m + 24. Let l be s(-17). Let j = 106 + l. Solve -u - 5*f = j + 4, 0 = 2*u + f + 3 for u.\n' | b'0\n' | b'Let s(m) = 7*m + 24. Let l be s(-17). Let j = 106 + l. Solve -u - 5*f = j + 4, 0 = 2*u + f + 3 for u.\n' | b'0\n' | deepmind/math_dataset |
b'Let v(b) = -b**3 + 14*b**2 - 7. Suppose 5*q - 3*d - 73 = 0, 10*q = 12*q + 3*d - 25. Determine v(q).\n' | b'-7\n' | b'Let v(b) = -b**3 + 14*b**2 - 7. Suppose 5*q - 3*d - 73 = 0, 10*q = 12*q + 3*d - 25. Determine v(q).\n' | b'-7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bbbbbbbpa. Give prob of picking 1 a and 3 b.\n' | b'5/18\n' | b'Four letters picked without replacement from bbbbbbbpa. Give prob of picking 1 a and 3 b.\n' | b'5/18\n' | deepmind/math_dataset |
b'Let r(k) = -k**2 - 2*k. Let w(x) = x**3 + 4*x**2 + 6*x + 6. Suppose 4*i = -i - 20. Let j = 1 + i. Let l be w(j). Calculate r(l).\n' | b'-3\n' | b'Let r(k) = -k**2 - 2*k. Let w(x) = x**3 + 4*x**2 + 6*x + 6. Suppose 4*i = -i - 20. Let j = 1 + i. Let l be w(j). Calculate r(l).\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pawpfapaaava. What is prob of sequence pv?\n' | b'1/44\n' | b'Two letters picked without replacement from pawpfapaaava. What is prob of sequence pv?\n' | b'1/44\n' | deepmind/math_dataset |
b'Three letters picked without replacement from dtdtqdt. What is prob of picking 1 d and 2 t?\n' | b'9/35\n' | b'Three letters picked without replacement from dtdtqdt. What is prob of picking 1 d and 2 t?\n' | b'9/35\n' | deepmind/math_dataset |
b'Let p(j) = -j**3 - 4*j**2 - 2*j - 4. Suppose 2*r - 9 - 3 = 0. Suppose -x + 2 = r. Calculate p(x).\n' | b'4\n' | b'Let p(j) = -j**3 - 4*j**2 - 2*j - 4. Suppose 2*r - 9 - 3 = 0. Suppose -x + 2 = r. Calculate p(x).\n' | b'4\n' | deepmind/math_dataset |
b'Let q be (-1)/(-2)*(12 + 8*11/(-11)). Solve 30 = -q*n + 4*r, 5*n - 3*r = n - 35 for n.\n' | b'-5\n' | b'Let q be (-1)/(-2)*(12 + 8*11/(-11)). Solve 30 = -q*n + 4*r, 5*n - 3*r = n - 35 for n.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((x**(-1)/x)**(-37))**(-7)/((x/((x/((x**(2/11)/x*x)/x*x*x))/x))**(24/13)/(x/(x**(3/5)/x)*x*x*x**(-4))) assuming x is positive.\n' | b'x**(-373679/715)\n' | b'Simplify ((x**(-1)/x)**(-37))**(-7)/((x/((x/((x**(2/11)/x*x)/x*x*x))/x))**(24/13)/(x/(x**(3/5)/x)*x*x*x**(-4))) assuming x is positive.\n' | b'x**(-373679/715)\n' | deepmind/math_dataset |
b'Simplify (l**(-22)*l**8*l)/(l/(l**(7/11)*l)*l*l*l/(l**(-4/9)*l)) assuming l is positive.\n' | b'l**(-1466/99)\n' | b'Simplify (l**(-22)*l**8*l)/(l/(l**(7/11)*l)*l*l*l/(l**(-4/9)*l)) assuming l is positive.\n' | b'l**(-1466/99)\n' | deepmind/math_dataset |
b'What is prob of picking 3 k and 1 h when four letters picked without replacement from hkkhhkhhkhhkh?\n' | b'16/143\n' | b'What is prob of picking 3 k and 1 h when four letters picked without replacement from hkkhhkhhkhhkh?\n' | b'16/143\n' | deepmind/math_dataset |
b'Two letters picked without replacement from scccccs. What is prob of picking 2 s?\n' | b'1/21\n' | b'Two letters picked without replacement from scccccs. What is prob of picking 2 s?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let k(d) = -2*d**3 + 2*d**2 + 3*d - 3. Let h(l) = -l**3 + 8. Let f be h(0). Suppose 4*q = -5*m + 3 + 7, -4*q - f = -4*m. Give k(m).\n' | b'-5\n' | b'Let k(d) = -2*d**3 + 2*d**2 + 3*d - 3. Let h(l) = -l**3 + 8. Let f be h(0). Suppose 4*q = -5*m + 3 + 7, -4*q - f = -4*m. Give k(m).\n' | b'-5\n' | deepmind/math_dataset |
b'Let t(u) be the third derivative of 0*u**6 + 3*u**2 + 0*u**4 + 0*u + 0*u**5 + 0 - 1/3*u**3 - 1/42*u**7. Differentiate t(f) wrt f.\n' | b'-20*f**3\n' | b'Let t(u) be the third derivative of 0*u**6 + 3*u**2 + 0*u**4 + 0*u + 0*u**5 + 0 - 1/3*u**3 - 1/42*u**7. Differentiate t(f) wrt f.\n' | b'-20*f**3\n' | deepmind/math_dataset |
b'Simplify ((q*q/(q**2*q*q))/(q/(q/(q*q/q**(3/2))*q*q)))/(q**(-1/10)*q/(q/(q**(3/2)*q))) assuming q is positive.\n' | b'q**(-29/10)\n' | b'Simplify ((q*q/(q**2*q*q))/(q/(q/(q*q/q**(3/2))*q*q)))/(q**(-1/10)*q/(q/(q**(3/2)*q))) assuming q is positive.\n' | b'q**(-29/10)\n' | deepmind/math_dataset |
b'Let i(g) be the third derivative of -11*g**2 + 0 + 0*g + 1/2*g**3 - 1/12*g**4. Suppose 3*o - 14 = -4*o. Calculate i(o).\n' | b'-1\n' | b'Let i(g) be the third derivative of -11*g**2 + 0 + 0*g + 1/2*g**3 - 1/12*g**4. Suppose 3*o - 14 = -4*o. Calculate i(o).\n' | b'-1\n' | deepmind/math_dataset |
b'Let c be (4 + 2)*(-1)/(-3). Suppose -d = 2*d - 6. Solve 6*p - c*g - 10 = d*p, 6 = p - 4*g for p.\n' | b'2\n' | b'Let c be (4 + 2)*(-1)/(-3). Suppose -d = 2*d - 6. Solve 6*p - c*g - 10 = d*p, 6 = p - 4*g for p.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence wp when two letters picked without replacement from pppwppwpwwpepwpppw.\n' | b'11/51\n' | b'Calculate prob of sequence wp when two letters picked without replacement from pppwppwpwwpepwpppw.\n' | b'11/51\n' | deepmind/math_dataset |
b'Let k(x) = 3*x**2 - 46*x - 30. Let d be k(16). Solve d*c = -3*j + 6*c - 16, -3*c + 12 = -4*j for j.\n' | b'0\n' | b'Let k(x) = 3*x**2 - 46*x - 30. Let d be k(16). Solve d*c = -3*j + 6*c - 16, -3*c + 12 = -4*j for j.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 2 t when two letters picked without replacement from {b: 3, t: 17}?\n' | b'68/95\n' | b'What is prob of picking 2 t when two letters picked without replacement from {b: 3, t: 17}?\n' | b'68/95\n' | deepmind/math_dataset |
b'Calculate prob of sequence atvv when four letters picked without replacement from mzvatzamzvmzmvtzmmmm.\n' | b'1/4845\n' | b'Calculate prob of sequence atvv when four letters picked without replacement from mzvatzamzvmzmvtzmmmm.\n' | b'1/4845\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uuxouuuouxux. What is prob of picking 1 x and 1 u?\n' | b'7/22\n' | b'Two letters picked without replacement from uuxouuuouxux. What is prob of picking 1 x and 1 u?\n' | b'7/22\n' | deepmind/math_dataset |
b'Let s(f) = 4204*f**3 + 24*f - 2548. Let j(d) = 1401*d**3 + 9*d - 849. Let v(m) = 8*j(m) - 3*s(m). What is the first derivative of v(y) wrt y?\n' | b'-4212*y**2\n' | b'Let s(f) = 4204*f**3 + 24*f - 2548. Let j(d) = 1401*d**3 + 9*d - 849. Let v(m) = 8*j(m) - 3*s(m). What is the first derivative of v(y) wrt y?\n' | b'-4212*y**2\n' | deepmind/math_dataset |
b'Let i(c) = -2*c**2 + 0*c + 13*c**2 + c**3 - 35267 - c + 35274. What is i(-11)?\n' | b'18\n' | b'Let i(c) = -2*c**2 + 0*c + 13*c**2 + c**3 - 35267 - c + 35274. What is i(-11)?\n' | b'18\n' | deepmind/math_dataset |
b'Let w(m) = -13*m**2 - 7*m - 3. Let o be w(-4). Let d = 190 + o. Let f(c) = -c**3 + 8*c**2 - 5*c + 8. Give f(d).\n' | b'22\n' | b'Let w(m) = -13*m**2 - 7*m - 3. Let o be w(-4). Let d = 190 + o. Let f(c) = -c**3 + 8*c**2 - 5*c + 8. Give f(d).\n' | b'22\n' | deepmind/math_dataset |
b'What is the second derivative of 2*a**2 + 28*a**2 + 61*a + 16 + 34*a**2 - 58*a wrt a?\n' | b'128\n' | b'What is the second derivative of 2*a**2 + 28*a**2 + 61*a + 16 + 34*a**2 - 58*a wrt a?\n' | b'128\n' | deepmind/math_dataset |
b'Suppose -60 = 3*a + 33. Let s = a - -35. Solve u + s*q + 7 = 0, -2*u + 6*q - q = -25 for u.\n' | b'5\n' | b'Suppose -60 = 3*a + 33. Let s = a - -35. Solve u + s*q + 7 = 0, -2*u + 6*q - q = -25 for u.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence uk when two letters picked without replacement from kuuu.\n' | b'1/4\n' | b'Calculate prob of sequence uk when two letters picked without replacement from kuuu.\n' | b'1/4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 1, e: 1, u: 1, l: 1, x: 3}. What is prob of picking 1 x, 1 l, and 1 u?\n' | b'3/35\n' | b'Three letters picked without replacement from {s: 1, e: 1, u: 1, l: 1, x: 3}. What is prob of picking 1 x, 1 l, and 1 u?\n' | b'3/35\n' | deepmind/math_dataset |
b'What is prob of sequence icxi when four letters picked without replacement from cxiieee?\n' | b'1/420\n' | b'What is prob of sequence icxi when four letters picked without replacement from cxiieee?\n' | b'1/420\n' | deepmind/math_dataset |
b'Calculate prob of sequence en when two letters picked without replacement from emmmtmmtmmnmnetemtnt.\n' | b'9/380\n' | b'Calculate prob of sequence en when two letters picked without replacement from emmmtmmtmmnmnetemtnt.\n' | b'9/380\n' | deepmind/math_dataset |
b'Let x = 4 - 4. Find the third derivative of -f**5 - 3*f**2 + x*f**5 + 4*f**2 wrt f.\n' | b'-60*f**2\n' | b'Let x = 4 - 4. Find the third derivative of -f**5 - 3*f**2 + x*f**5 + 4*f**2 wrt f.\n' | b'-60*f**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 3, u: 1, m: 6, r: 1, v: 1}. What is prob of sequence grg?\n' | b'1/220\n' | b'Three letters picked without replacement from {g: 3, u: 1, m: 6, r: 1, v: 1}. What is prob of sequence grg?\n' | b'1/220\n' | deepmind/math_dataset |
b'Calculate prob of sequence jtgi when four letters picked without replacement from jtpgpiet.\n' | b'1/840\n' | b'Calculate prob of sequence jtgi when four letters picked without replacement from jtpgpiet.\n' | b'1/840\n' | deepmind/math_dataset |
b'Let l = -8 - -10. Suppose 0 = -3*k - l*k. Suppose 3*z - 5*z + 46 = k. Solve 0 = t - 4*o + 19, -4*o - z = 5*t - 6*o for t.\n' | b'-3\n' | b'Let l = -8 - -10. Suppose 0 = -3*k - l*k. Suppose 3*z - 5*z + 46 = k. Solve 0 = t - 4*o + 19, -4*o - z = 5*t - 6*o for t.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((t*t**(-5)*t*t**(1/9))/(t**(2/5))**(-42/11))/((t**(-7)/t*t*t*t*t**7*t*t*t)/(t**6*t**(2/21))) assuming t is positive.\n' | b't**(-923/3465)\n' | b'Simplify ((t*t**(-5)*t*t**(1/9))/(t**(2/5))**(-42/11))/((t**(-7)/t*t*t*t*t**7*t*t*t)/(t**6*t**(2/21))) assuming t is positive.\n' | b't**(-923/3465)\n' | deepmind/math_dataset |
b'Let j(h) be the second derivative of h**6/6 + 7*h**2/2 - 11*h. Find the first derivative of j(s) wrt s.\n' | b'20*s**3\n' | b'Let j(h) be the second derivative of h**6/6 + 7*h**2/2 - 11*h. Find the first derivative of j(s) wrt s.\n' | b'20*s**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gwwwwg. Give prob of sequence gw.\n' | b'4/15\n' | b'Two letters picked without replacement from gwwwwg. Give prob of sequence gw.\n' | b'4/15\n' | deepmind/math_dataset |
b'Let p(b) be the third derivative of 0*b + 1/24*b**4 + 0 + 8*b**2 + b**3. What is p(-5)?\n' | b'1\n' | b'Let p(b) be the third derivative of 0*b + 1/24*b**4 + 0 + 8*b**2 + b**3. What is p(-5)?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -7*d + 8*d - 17 = 0. Let i be ((-2)/(-4))/(2/36). Let o = 13 - i. Solve 5*c + 23 = o*b, b - d = 3*c - 6 for c.\n' | b'-3\n' | b'Suppose -7*d + 8*d - 17 = 0. Let i be ((-2)/(-4))/(2/36). Let o = 13 - i. Solve 5*c + 23 = o*b, b - d = 3*c - 6 for c.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify k**(-2)/(k/(k*k**(-32)))*k**(-21)*(k/k**(-14))/k assuming k is positive.\n' | b'k**(-41)\n' | b'Simplify k**(-2)/(k/(k*k**(-32)))*k**(-21)*(k/k**(-14))/k assuming k is positive.\n' | b'k**(-41)\n' | deepmind/math_dataset |
b'Let t(r) = -15*r - 8. Let l(g) = 32*g + 14. Let i(a) = -3*l(a) - 5*t(a). Calculate i(1).\n' | b'-23\n' | b'Let t(r) = -15*r - 8. Let l(g) = 32*g + 14. Let i(a) = -3*l(a) - 5*t(a). Calculate i(1).\n' | b'-23\n' | deepmind/math_dataset |
b'Simplify s*s**(-26)/s*s*s*s**(-21) assuming s is positive.\n' | b's**(-45)\n' | b'Simplify s*s**(-26)/s*s*s*s**(-21) assuming s is positive.\n' | b's**(-45)\n' | deepmind/math_dataset |
b'Let y(q) = 2*q**2 + q + 1. Let m be y(-1). Suppose -p + m*p = 0. Solve p = 2*f - l - 2, -2*l + 0*l = f + 4 for f.\n' | b'0\n' | b'Let y(q) = 2*q**2 + q + 1. Let m be y(-1). Suppose -p + m*p = 0. Solve p = 2*f - l - 2, -2*l + 0*l = f + 4 for f.\n' | b'0\n' | deepmind/math_dataset |
b'Let o = 18 - 13. Suppose 0 = o*a - 3 - 7. Suppose -5*l + 45 = 5*q, -l - 4*l = a*q - 30. Solve 0 = 3*v + 5*j - j + 9, 19 = l*v - 5*j for v.\n' | b'1\n' | b'Let o = 18 - 13. Suppose 0 = o*a - 3 - 7. Suppose -5*l + 45 = 5*q, -l - 4*l = a*q - 30. Solve 0 = 3*v + 5*j - j + 9, 19 = l*v - 5*j for v.\n' | b'1\n' | deepmind/math_dataset |
b'Let q(x) be the first derivative of 7/2*x**2 - 7 + 5*x - 1/3*x**3. Let z be q(7). Solve 0 = 2*d + z*n + 24, 3*d - 7 = 3*n - 1 for d.\n' | b'-2\n' | b'Let q(x) be the first derivative of 7/2*x**2 - 7 + 5*x - 1/3*x**3. Let z be q(7). Solve 0 = 2*d + z*n + 24, 3*d - 7 = 3*n - 1 for d.\n' | b'-2\n' | deepmind/math_dataset |
b'Let v(u) = -20*u**3 - 32*u**2 - 14*u - 214. Let y(j) = 9*j**3 + 16*j**2 + 7*j + 108. Let q(k) = -4*v(k) - 9*y(k). Give q(-16).\n' | b'-4\n' | b'Let v(u) = -20*u**3 - 32*u**2 - 14*u - 214. Let y(j) = 9*j**3 + 16*j**2 + 7*j + 108. Let q(k) = -4*v(k) - 9*y(k). Give q(-16).\n' | b'-4\n' | deepmind/math_dataset |
b'Let i(u) be the second derivative of u**4/8 - u**3/6 + 3*u**2 + u. Let h(r) be the first derivative of i(r). Let z be 6 - ((3 - -1) + 3). Determine h(z).\n' | b'-4\n' | b'Let i(u) be the second derivative of u**4/8 - u**3/6 + 3*u**2 + u. Let h(r) be the first derivative of i(r). Let z be 6 - ((3 - -1) + 3). Determine h(z).\n' | b'-4\n' | deepmind/math_dataset |
b'Let x(k) = 5*k + 70. Let p be x(-14). Solve p = -2*u + l, -6*l + 9*l = 12 for u.\n' | b'2\n' | b'Let x(k) = 5*k + 70. Let p be x(-14). Solve p = -2*u + l, -6*l + 9*l = 12 for u.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 2 x, 1 q, and 1 m when four letters picked without replacement from xmxqkq?\n' | b'2/15\n' | b'What is prob of picking 2 x, 1 q, and 1 m when four letters picked without replacement from xmxqkq?\n' | b'2/15\n' | deepmind/math_dataset |
b'Simplify (c*c**(-3/7))/((c*c**(3/8))/c)*c**(-3)/c**(3/5)*(((c*c*c*(((c**(-1/14)/c)/c)/c)/c)/c)/(c*c/(c/c**(-7))))**17 assuming c is positive.\n' | b'c**(17747/280)\n' | b'Simplify (c*c**(-3/7))/((c*c**(3/8))/c)*c**(-3)/c**(3/5)*(((c*c*c*(((c**(-1/14)/c)/c)/c)/c)/c)/(c*c/(c/c**(-7))))**17 assuming c is positive.\n' | b'c**(17747/280)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 1, c: 1, k: 1, z: 2, q: 1, n: 1}. Give prob of picking 2 f and 1 z.\n' | b'0\n' | b'Three letters picked without replacement from {f: 1, c: 1, k: 1, z: 2, q: 1, n: 1}. Give prob of picking 2 f and 1 z.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence lwn when three letters picked without replacement from zozooolznooomowolooo.\n' | b'1/3420\n' | b'Calculate prob of sequence lwn when three letters picked without replacement from zozooolznooomowolooo.\n' | b'1/3420\n' | deepmind/math_dataset |
b'Let d(k) = -79 + 29 - k**2 - 19*k + 6. Let a be d(-16). Solve 3*l + 16 = -5*g, a*g - 2*l = -6 + 2 for g.\n' | b'-2\n' | b'Let d(k) = -79 + 29 - k**2 - 19*k + 6. Let a be d(-16). Solve 3*l + 16 = -5*g, a*g - 2*l = -6 + 2 for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((n*n*n**0*n)/n**(2/27))**5 assuming n is positive.\n' | b'n**(395/27)\n' | b'Simplify ((n*n*n**0*n)/n**(2/27))**5 assuming n is positive.\n' | b'n**(395/27)\n' | deepmind/math_dataset |
b'Let h(k) = -8*k**2 + 18*k + 5. Let p(d) = 2*d**2 - 4*d - 1. Let g(j) = 2*h(j) + 9*p(j). Let o be 7/5 + 6/(-15). Let y = o + -2. Calculate g(y).\n' | b'3\n' | b'Let h(k) = -8*k**2 + 18*k + 5. Let p(d) = 2*d**2 - 4*d - 1. Let g(j) = 2*h(j) + 9*p(j). Let o be 7/5 + 6/(-15). Let y = o + -2. Calculate g(y).\n' | b'3\n' | deepmind/math_dataset |
b'Differentiate 14*r - 7736 - 8*r**2 + 3600 + 3650 with respect to r.\n' | b'-16*r + 14\n' | b'Differentiate 14*r - 7736 - 8*r**2 + 3600 + 3650 with respect to r.\n' | b'-16*r + 14\n' | deepmind/math_dataset |
b'Let a = -187 + 187. Suppose 18*l - 20 = 13*l. Solve 0 = -2*o - 5*f + 25, -2*f - l + 14 = a for o.\n' | b'0\n' | b'Let a = -187 + 187. Suppose 18*l - 20 = 13*l. Solve 0 = -2*o - 5*f + 25, -2*f - l + 14 = a for o.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence fffd when four letters picked without replacement from {f: 4, l: 4, d: 3, i: 4}.\n' | b'1/455\n' | b'Calculate prob of sequence fffd when four letters picked without replacement from {f: 4, l: 4, d: 3, i: 4}.\n' | b'1/455\n' | deepmind/math_dataset |
b'Three letters picked without replacement from oowooooooowooooowo. What is prob of picking 2 o and 1 w?\n' | b'105/272\n' | b'Three letters picked without replacement from oowooooooowooooowo. What is prob of picking 2 o and 1 w?\n' | b'105/272\n' | deepmind/math_dataset |
b'Let c(a) = 2*a - 3. Let k be c(3). Let w(o) be the second derivative of 2/3*o**k - 2*o - 1/12*o**4 + o**2 + 0. Give w(5).\n' | b'-3\n' | b'Let c(a) = 2*a - 3. Let k be c(3). Let w(o) be the second derivative of 2/3*o**k - 2*o - 1/12*o**4 + o**2 + 0. Give w(5).\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 2, f: 2, r: 1, c: 1, a: 4}. What is prob of picking 2 a?\n' | b'2/15\n' | b'Two letters picked without replacement from {z: 2, f: 2, r: 1, c: 1, a: 4}. What is prob of picking 2 a?\n' | b'2/15\n' | deepmind/math_dataset |
b'Let l(f) be the first derivative of 913*f**6/3 + 1022*f**2 - 948. What is the second derivative of l(j) wrt j?\n' | b'36520*j**3\n' | b'Let l(f) be the first derivative of 913*f**6/3 + 1022*f**2 - 948. What is the second derivative of l(j) wrt j?\n' | b'36520*j**3\n' | deepmind/math_dataset |
b'Simplify (c**(-1/5)*c**(-7))/(c**1)**19*c**(1/4)/c*c**(1/4)/c*c*c**(1/10)/(c*c**3) assuming c is positive.\n' | b'c**(-153/5)\n' | b'Simplify (c**(-1/5)*c**(-7))/(c**1)**19*c**(1/4)/c*c**(1/4)/c*c*c**(1/10)/(c*c**3) assuming c is positive.\n' | b'c**(-153/5)\n' | deepmind/math_dataset |
b'Let l(u) be the third derivative of 0*u - 3/20*u**5 + 0*u**3 + 1/6*u**4 + 0 + 4*u**2. Find the second derivative of l(b) wrt b.\n' | b'-18\n' | b'Let l(u) be the third derivative of 0*u - 3/20*u**5 + 0*u**3 + 1/6*u**4 + 0 + 4*u**2. Find the second derivative of l(b) wrt b.\n' | b'-18\n' | deepmind/math_dataset |
b'What is prob of sequence qd when two letters picked without replacement from vvadiaqdvviivv?\n' | b'1/91\n' | b'What is prob of sequence qd when two letters picked without replacement from vvadiaqdvviivv?\n' | b'1/91\n' | deepmind/math_dataset |
b'Suppose 0 = -7*a - 34 + 55. Suppose -q + v = -2, -6*q + a*v = -q - 12. Let t(p) = 2*p - 5. Let l be t(7). Solve -q*o - 2*n = 3*n + 15, l = 3*o - 3*n for o.\n' | b'0\n' | b'Suppose 0 = -7*a - 34 + 55. Suppose -q + v = -2, -6*q + a*v = -q - 12. Let t(p) = 2*p - 5. Let l be t(7). Solve -q*o - 2*n = 3*n + 15, l = 3*o - 3*n for o.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence lill when four letters picked without replacement from {i: 3, l: 11}.\n' | b'45/364\n' | b'Calculate prob of sequence lill when four letters picked without replacement from {i: 3, l: 11}.\n' | b'45/364\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.