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'Simplify ((a*a**(-1))/a**4)/(a*a**(1/2)*a*a/((a*a*a*a*a**(1/5)/a)/a*a))*(a**1/a)**49*(a*a**1)/((a/(a/a**5))/a) assuming a is positive.\n' | b'a**(-63/10)\n' | b'Simplify ((a*a**(-1))/a**4)/(a*a**(1/2)*a*a/((a*a*a*a*a**(1/5)/a)/a*a))*(a**1/a)**49*(a*a**1)/((a/(a/a**5))/a) assuming a is positive.\n' | b'a**(-63/10)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 7, p: 6}. Give prob of picking 2 p and 1 b.\n' | b'105/286\n' | b'Three letters picked without replacement from {b: 7, p: 6}. Give prob of picking 2 p and 1 b.\n' | b'105/286\n' | deepmind/math_dataset |
b'Suppose -2*c - 5 = -5*k, -k + 28 = -0*c + 5*c. Solve 0*u + 31 = 5*p + 3*u, k*p - 25 = -5*u for p.\n' | b'5\n' | b'Suppose -2*c - 5 = -5*k, -k + 28 = -0*c + 5*c. Solve 0*u + 31 = 5*p + 3*u, k*p - 25 = -5*u for p.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((((s/(s*((((((s/s**(-4))/s*s)/s)/s)/s*s)/s)/s))/s)/s)/s**(-3))**(32/5)*s/(s/(s**(-3/7)/s))*s**(-2)*s*s**(1/2)*s/s**6 assuming s is positive.\n' | b's**(-97/14)\n' | b'Simplify ((((s/(s*((((((s/s**(-4))/s*s)/s)/s)/s*s)/s)/s))/s)/s)/s**(-3))**(32/5)*s/(s/(s**(-3/7)/s))*s**(-2)*s*s**(1/2)*s/s**6 assuming s is positive.\n' | b's**(-97/14)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 1, z: 2}. What is prob of sequence zz?\n' | b'1/3\n' | b'Two letters picked without replacement from {h: 1, z: 2}. What is prob of sequence zz?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let i(l) be the third derivative of -l**5/60 - l**4/12 + l**3/3 + 8*l**2. Determine i(-3).\n' | b'-1\n' | b'Let i(l) be the third derivative of -l**5/60 - l**4/12 + l**3/3 + 8*l**2. Determine i(-3).\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 1 u, 2 f, and 1 v when four letters picked without replacement from {a: 1, v: 1, f: 2, u: 2}?\n' | b'2/15\n' | b'What is prob of picking 1 u, 2 f, and 1 v when four letters picked without replacement from {a: 1, v: 1, f: 2, u: 2}?\n' | b'2/15\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 6}. What is prob of sequence pp?\n' | b'1\n' | b'Two letters picked without replacement from {p: 6}. What is prob of sequence pp?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -g + 37 = 3*k + k, -231 = -5*g + 3*k. Suppose u - g = -2*u. What is the first derivative of 6 - u*v**2 - 8*v**2 + 13*v**2 wrt v?\n' | b'-20*v\n' | b'Suppose -g + 37 = 3*k + k, -231 = -5*g + 3*k. Suppose u - g = -2*u. What is the first derivative of 6 - u*v**2 - 8*v**2 + 13*v**2 wrt v?\n' | b'-20*v\n' | deepmind/math_dataset |
b'What is prob of sequence exd when three letters picked without replacement from dqdqexddb?\n' | b'1/126\n' | b'What is prob of sequence exd when three letters picked without replacement from dqdqexddb?\n' | b'1/126\n' | deepmind/math_dataset |
b'Let j(c) be the second derivative of 0 + 0*c**2 + 1/4*c**5 - 8/3*c**3 + 0*c**4 + 8*c. Find the second derivative of j(u) wrt u.\n' | b'30*u\n' | b'Let j(c) be the second derivative of 0 + 0*c**2 + 1/4*c**5 - 8/3*c**3 + 0*c**4 + 8*c. Find the second derivative of j(u) wrt u.\n' | b'30*u\n' | deepmind/math_dataset |
b'Let z(q) = q**3 + 20*q**2 + 37*q + 19. Let w be z(-18). Let u(p) = -p**3 + 6*p**2 - 5*p. Let b(y) = y**2 - y + 1. Let m(k) = w*u(k) - 2*b(k). Give m(3).\n' | b'-2\n' | b'Let z(q) = q**3 + 20*q**2 + 37*q + 19. Let w be z(-18). Let u(p) = -p**3 + 6*p**2 - 5*p. Let b(y) = y**2 - y + 1. Let m(k) = w*u(k) - 2*b(k). Give m(3).\n' | b'-2\n' | deepmind/math_dataset |
b'Let w(p) be the third derivative of p**6/120 - p**5/20 - p**4/24 + 2*p**3/3 - p**2. Let m(z) = -z**2 + 6*z - 5. Let h be m(4). What is w(h)?\n' | b'1\n' | b'Let w(p) be the third derivative of p**6/120 - p**5/20 - p**4/24 + 2*p**3/3 - p**2. Let m(z) = -z**2 + 6*z - 5. Let h be m(4). What is w(h)?\n' | b'1\n' | deepmind/math_dataset |
b'Let m be (-100)/550 + 2/11 + 0. Solve -4*g - 7*z + 2*z = -9, m = 2*g + 5*z - 7 for g.\n' | b'1\n' | b'Let m be (-100)/550 + 2/11 + 0. Solve -4*g - 7*z + 2*z = -9, m = 2*g + 5*z - 7 for g.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 15 = 5*g + 5*x, 0 = 2*g - 4*g + 2*x - 2. Let y(l) be the third derivative of -l**5/15 + l**3/6 + 57*l**2. Determine y(g).\n' | b'-3\n' | b'Suppose 15 = 5*g + 5*x, 0 = 2*g - 4*g + 2*x - 2. Let y(l) be the third derivative of -l**5/15 + l**3/6 + 57*l**2. Determine y(g).\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jeeejejejjjejjjlj. What is prob of sequence ele?\n' | b'1/136\n' | b'Three letters picked without replacement from jeeejejejjjejjjlj. What is prob of sequence ele?\n' | b'1/136\n' | deepmind/math_dataset |
b'Let f be (-19)/(-4) + (-6)/(-24). Let d(q) = -22*q**2 + 25*q - 11. Let l = -48 - -39. Let y(c) = 5*c**2 - 6*c + 3. Let m(p) = l*y(p) - 2*d(p). Give m(f).\n' | b'-10\n' | b'Let f be (-19)/(-4) + (-6)/(-24). Let d(q) = -22*q**2 + 25*q - 11. Let l = -48 - -39. Let y(c) = 5*c**2 - 6*c + 3. Let m(p) = l*y(p) - 2*d(p). Give m(f).\n' | b'-10\n' | deepmind/math_dataset |
b'Let g(r) = 3*r - 2. Let x be g(3). Let h be x + (-9)/((-9)/(-4)). Suppose -h*z + 6 = -9. Solve z = -4*u + 5*s, u + u + 3*s + 19 = 0 for u.\n' | b'-5\n' | b'Let g(r) = 3*r - 2. Let x be g(3). Let h be x + (-9)/((-9)/(-4)). Suppose -h*z + 6 = -9. Solve z = -4*u + 5*s, u + u + 3*s + 19 = 0 for u.\n' | b'-5\n' | deepmind/math_dataset |
b'Let f(h) = 107*h + 6424. Let j be f(-60). Solve 22*z - 10 = 20*z + d, 0 = z - 5*d + j for z.\n' | b'6\n' | b'Let f(h) = 107*h + 6424. Let j be f(-60). Solve 22*z - 10 = 20*z + d, 0 = z - 5*d + j for z.\n' | b'6\n' | deepmind/math_dataset |
b'Let s(b) = b**2 + 33*b + 92. Let t be s(-30). Let u(v) = 101*v**2 - 16*v - 7 - 100*v**t + 24. Calculate u(15).\n' | b'2\n' | b'Let s(b) = b**2 + 33*b + 92. Let t be s(-30). Let u(v) = 101*v**2 - 16*v - 7 - 100*v**t + 24. Calculate u(15).\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence hhv when three letters picked without replacement from uuvuuxvhh.\n' | b'1/126\n' | b'Calculate prob of sequence hhv when three letters picked without replacement from uuvuuxvhh.\n' | b'1/126\n' | deepmind/math_dataset |
b'Let c(s) be the first derivative of 3 - 1/2*s**2 + s. Calculate c(2).\n' | b'-1\n' | b'Let c(s) be the first derivative of 3 - 1/2*s**2 + s. Calculate c(2).\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hqqrqhyhhyq. Give prob of sequence hh.\n' | b'6/55\n' | b'Two letters picked without replacement from hqqrqhyhhyq. Give prob of sequence hh.\n' | b'6/55\n' | deepmind/math_dataset |
b'Let s = -24 + 32. Suppose s = 5*y - 42. Suppose 3 = q - 1. Solve 3*w = -a - 17, -3*a + y = -4*w - q for a.\n' | b'-2\n' | b'Let s = -24 + 32. Suppose s = 5*y - 42. Suppose 3 = q - 1. Solve 3*w = -a - 17, -3*a + y = -4*w - q for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 h and 1 q when three letters picked without replacement from hqhqqqqqqqqqq.\n' | b'1/26\n' | b'Calculate prob of picking 2 h and 1 q when three letters picked without replacement from hqhqqqqqqqqqq.\n' | b'1/26\n' | deepmind/math_dataset |
b'Let a(q) be the third derivative of 19*q**8/56 + 31*q**4/24 - 35*q**2 + q. Find the second derivative of a(c) wrt c.\n' | b'2280*c**3\n' | b'Let a(q) be the third derivative of 19*q**8/56 + 31*q**4/24 - 35*q**2 + q. Find the second derivative of a(c) wrt c.\n' | b'2280*c**3\n' | deepmind/math_dataset |
b'Let o(n) be the first derivative of 8*n**7 + 52*n**3/3 - 325. What is the third derivative of o(a) wrt a?\n' | b'6720*a**3\n' | b'Let o(n) be the first derivative of 8*n**7 + 52*n**3/3 - 325. What is the third derivative of o(a) wrt a?\n' | b'6720*a**3\n' | deepmind/math_dataset |
b'Simplify (x**(3/7)*x*x**(2/17)*(x**(-2/3))**(2/5))**(-24/5) assuming x is positive.\n' | b'x**(-18272/2975)\n' | b'Simplify (x**(3/7)*x*x**(2/17)*(x**(-2/3))**(2/5))**(-24/5) assuming x is positive.\n' | b'x**(-18272/2975)\n' | deepmind/math_dataset |
b'Suppose -3*h + 5*g = 10*g - 13, -2*g + 6 = 2*h. Let m be 3/(1/2*3). Let q(s) = 4*s**m - 4*s**2 - 1 + 7*s**2. Calculate q(h).\n' | b'6\n' | b'Suppose -3*h + 5*g = 10*g - 13, -2*g + 6 = 2*h. Let m be 3/(1/2*3). Let q(s) = 4*s**m - 4*s**2 - 1 + 7*s**2. Calculate q(h).\n' | b'6\n' | deepmind/math_dataset |
b'Let i = 609 - 596. Suppose -4*w - 27 = -3*l, -2*w - 2*w + 3 = 3*l. What is the second derivative of -6*n + 3*n - i*n**5 - 8*n**5 + 0*n**l wrt n?\n' | b'-420*n**3\n' | b'Let i = 609 - 596. Suppose -4*w - 27 = -3*l, -2*w - 2*w + 3 = 3*l. What is the second derivative of -6*n + 3*n - i*n**5 - 8*n**5 + 0*n**l wrt n?\n' | b'-420*n**3\n' | deepmind/math_dataset |
b'Let p be -9 + 9 + -1 + 0. Let y(z) = 15*z**2 + 2*z - 14. Let r(n) = -n**2 - n + 1. Let i(a) = p*y(a) - 2*r(a). Differentiate i(d) with respect to d.\n' | b'-26*d\n' | b'Let p be -9 + 9 + -1 + 0. Let y(z) = 15*z**2 + 2*z - 14. Let r(n) = -n**2 - n + 1. Let i(a) = p*y(a) - 2*r(a). Differentiate i(d) with respect to d.\n' | b'-26*d\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 1 l when two letters picked without replacement from {u: 5, y: 3, l: 10, a: 2}?\n' | b'2/19\n' | b'What is prob of picking 1 a and 1 l when two letters picked without replacement from {u: 5, y: 3, l: 10, a: 2}?\n' | b'2/19\n' | deepmind/math_dataset |
b'Let l(o) = -20363*o**2 - o + 40722*o**2 + 3*o**3 - 20364*o**2. Calculate l(2).\n' | b'2\n' | b'Let l(o) = -20363*o**2 - o + 40722*o**2 + 3*o**3 - 20364*o**2. Calculate l(2).\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -3*x + 44 = -3*f + 635, -f + 201 = -5*x. Let v = 217 - f. Solve -3*l + 4*z = -26, -5*z = v + 4 for l.\n' | b'2\n' | b'Suppose -3*x + 44 = -3*f + 635, -f + 201 = -5*x. Let v = 217 - f. Solve -3*l + 4*z = -26, -5*z = v + 4 for l.\n' | b'2\n' | deepmind/math_dataset |
b'Let n(i) = i**3 + 4*i**2 - 4*i - 34. Let q(u) = u**2 - u - 10. Let d(l) = -n(l) + 3*q(l). Determine d(0).\n' | b'4\n' | b'Let n(i) = i**3 + 4*i**2 - 4*i - 34. Let q(u) = u**2 - u - 10. Let d(l) = -n(l) + 3*q(l). Determine d(0).\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xbggxxxggxbg. What is prob of sequence bxx?\n' | b'1/33\n' | b'Three letters picked without replacement from xbggxxxggxbg. What is prob of sequence bxx?\n' | b'1/33\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 7, c: 4, n: 2, h: 2, t: 3}. Give prob of sequence nth.\n' | b'1/408\n' | b'Three letters picked without replacement from {e: 7, c: 4, n: 2, h: 2, t: 3}. Give prob of sequence nth.\n' | b'1/408\n' | deepmind/math_dataset |
b'Simplify t**0*t**1/t*t*t**(4/9)/t*t**(-5/2) assuming t is positive.\n' | b't**(-37/18)\n' | b'Simplify t**0*t**1/t*t*t**(4/9)/t*t**(-5/2) assuming t is positive.\n' | b't**(-37/18)\n' | deepmind/math_dataset |
b'Let x(f) be the second derivative of 1217*f**3/2 - 5803*f**2/2 + 7083*f. Differentiate x(z) wrt z.\n' | b'3651\n' | b'Let x(f) be the second derivative of 1217*f**3/2 - 5803*f**2/2 + 7083*f. Differentiate x(z) wrt z.\n' | b'3651\n' | deepmind/math_dataset |
b'Calculate prob of sequence ann when three letters picked without replacement from nnnnnannaaaannnn.\n' | b'55/336\n' | b'Calculate prob of sequence ann when three letters picked without replacement from nnnnnannaaaannnn.\n' | b'55/336\n' | deepmind/math_dataset |
b'Calculate prob of sequence ccb when three letters picked without replacement from bccbbccbbbccb.\n' | b'35/286\n' | b'Calculate prob of sequence ccb when three letters picked without replacement from bccbbccbbbccb.\n' | b'35/286\n' | deepmind/math_dataset |
b'Let p(r) = 21*r**2 + 23*r. Let j(v) = -14*v**2 - 15*v. Suppose 0*w = 3*w - 24. Let n(g) = w*j(g) + 5*p(g). What is the second derivative of n(x) wrt x?\n' | b'-14\n' | b'Let p(r) = 21*r**2 + 23*r. Let j(v) = -14*v**2 - 15*v. Suppose 0*w = 3*w - 24. Let n(g) = w*j(g) + 5*p(g). What is the second derivative of n(x) wrt x?\n' | b'-14\n' | deepmind/math_dataset |
b'Let y(i) = 7*i. Let n(o) = -o**2 + 1. Let j be n(-1). Suppose j = 5*p - 0 - 30. Let l be (5 - p) + (3 - 1). Calculate y(l).\n' | b'7\n' | b'Let y(i) = 7*i. Let n(o) = -o**2 + 1. Let j be n(-1). Suppose j = 5*p - 0 - 30. Let l be (5 - p) + (3 - 1). Calculate y(l).\n' | b'7\n' | deepmind/math_dataset |
b'What is the third derivative of -11837*d**2 + 82*d**5 + 11*d**5 + 364 + 227*d**5 + 11836*d**2 wrt d?\n' | b'19200*d**2\n' | b'What is the third derivative of -11837*d**2 + 82*d**5 + 11*d**5 + 364 + 227*d**5 + 11836*d**2 wrt d?\n' | b'19200*d**2\n' | deepmind/math_dataset |
b'Let o(k) = 1311*k + 2650. Let s(j) = -1308*j - 2652. Let u(c) = -3*o(c) - 4*s(c). Find the first derivative of u(i) wrt i.\n' | b'1299\n' | b'Let o(k) = 1311*k + 2650. Let s(j) = -1308*j - 2652. Let u(c) = -3*o(c) - 4*s(c). Find the first derivative of u(i) wrt i.\n' | b'1299\n' | deepmind/math_dataset |
b'Calculate prob of sequence hz when two letters picked without replacement from hzhd.\n' | b'1/6\n' | b'Calculate prob of sequence hz when two letters picked without replacement from hzhd.\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify q**3/q*q*(q*q/(q/q**5)*q*q*q*q)/q*q/q**(2/3)*q*q/q**6*(q**1*q)**44*(q**(-1)*q*q*q)**21 assuming q is positive.\n' | b'q**(415/3)\n' | b'Simplify q**3/q*q*(q*q/(q/q**5)*q*q*q*q)/q*q/q**(2/3)*q*q/q**6*(q**1*q)**44*(q**(-1)*q*q*q)**21 assuming q is positive.\n' | b'q**(415/3)\n' | deepmind/math_dataset |
b'Let z be (-114)/(-5)*30/(-9). Let k = z + 80. Solve x = 3*w - 5, -4*x = k*w + 10 + 10 for w.\n' | b'0\n' | b'Let z be (-114)/(-5)*30/(-9). Let k = z + 80. Solve x = 3*w - 5, -4*x = k*w + 10 + 10 for w.\n' | b'0\n' | deepmind/math_dataset |
b'Let j = 15 + -18. Let a be (4 - 5 - 1*j) + 0. Solve 2*i = 4*z + a, -3*i - 4*z + 3 = z for i.\n' | b'1\n' | b'Let j = 15 + -18. Let a be (4 - 5 - 1*j) + 0. Solve 2*i = 4*z + a, -3*i - 4*z + 3 = z for i.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (j*((j*j*j**(-2/7))/j)/j*j**1)/(j**(-1/4))**(6/13) assuming j is positive.\n' | b'j**(333/182)\n' | b'Simplify (j*((j*j*j**(-2/7))/j)/j*j**1)/(j**(-1/4))**(6/13) assuming j is positive.\n' | b'j**(333/182)\n' | deepmind/math_dataset |
b'What is prob of sequence glgg when four letters picked without replacement from llgllllglllgllll?\n' | b'1/560\n' | b'What is prob of sequence glgg when four letters picked without replacement from llgllllglllgllll?\n' | b'1/560\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {j: 2, i: 1, c: 1, q: 3}.\n' | b'2/21\n' | b'Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {j: 2, i: 1, c: 1, q: 3}.\n' | b'2/21\n' | deepmind/math_dataset |
b'Suppose -266 = -5*n + 309. Suppose 3*r - 5*h + n = -0*h, 4*r + 3*h + 105 = 0. Let x be 2/10 + (-234)/r. Solve -l - 12 = 3*m + 2, 4*m = 4*l - x for l.\n' | b'-2\n' | b'Suppose -266 = -5*n + 309. Suppose 3*r - 5*h + n = -0*h, 4*r + 3*h + 105 = 0. Let x be 2/10 + (-234)/r. Solve -l - 12 = 3*m + 2, 4*m = 4*l - x for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 c when four letters picked without replacement from cpccccpppccccc.\n' | b'30/143\n' | b'Calculate prob of picking 4 c when four letters picked without replacement from cpccccpppccccc.\n' | b'30/143\n' | deepmind/math_dataset |
b'Let f be 0/(-3)*(-1 + 0). Suppose -6*r - 5*r = -44. Solve 2*a - 5*t - 13 = f, -2*a - 2*t - 2*t + r = 0 for a.\n' | b'4\n' | b'Let f be 0/(-3)*(-1 + 0). Suppose -6*r - 5*r = -44. Solve 2*a - 5*t - 13 = f, -2*a - 2*t - 2*t + r = 0 for a.\n' | b'4\n' | deepmind/math_dataset |
b'Let t be (1 - (0 - 0))*2. Suppose -255 = 14*k - 9*k. Let v be (-17)/(k/(-24))*(-15)/4. Solve -3*p + v = -5*c, -t*c + p = 6*p - 19 for c.\n' | b'-3\n' | b'Let t be (1 - (0 - 0))*2. Suppose -255 = 14*k - 9*k. Let v be (-17)/(k/(-24))*(-15)/4. Solve -3*p + v = -5*c, -t*c + p = 6*p - 19 for c.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence hhiw when four letters picked without replacement from wwhwwihh?\n' | b'1/70\n' | b'What is prob of sequence hhiw when four letters picked without replacement from wwhwwihh?\n' | b'1/70\n' | deepmind/math_dataset |
b'What is prob of sequence lg when two letters picked without replacement from oooggoogooolgo?\n' | b'2/91\n' | b'What is prob of sequence lg when two letters picked without replacement from oooggoogooolgo?\n' | b'2/91\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 1 d when two letters picked without replacement from hvhdvvlelbvhhvb.\n' | b'2/105\n' | b'Calculate prob of picking 1 b and 1 d when two letters picked without replacement from hvhdvvlelbvhhvb.\n' | b'2/105\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 1 o when two letters picked without replacement from ugbubbugubgogubbob.\n' | b'14/153\n' | b'Calculate prob of picking 1 b and 1 o when two letters picked without replacement from ugbubbugubgogubbob.\n' | b'14/153\n' | deepmind/math_dataset |
b'Let t = 22 - 19. Suppose y - 2*v - 1 = 4, t*y = v + 10. Solve -16 = f + 3*x, -y*f + 6 = -x + 4 for f.\n' | b'-1\n' | b'Let t = 22 - 19. Suppose y - 2*v - 1 = 4, t*y = v + 10. Solve -16 = f + 3*x, -y*f + 6 = -x + 4 for f.\n' | b'-1\n' | deepmind/math_dataset |
b'Let p(a) = -a**2 - 7*a - 3. Let u(n) = 2*n**3 - 15*n**2 + 7*n - 6. Let j be u(7). What is p(j)?\n' | b'3\n' | b'Let p(a) = -a**2 - 7*a - 3. Let u(n) = 2*n**3 - 15*n**2 + 7*n - 6. Let j be u(7). What is p(j)?\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence jhht when four letters picked without replacement from {h: 2, j: 3, q: 1, t: 1}?\n' | b'1/140\n' | b'What is prob of sequence jhht when four letters picked without replacement from {h: 2, j: 3, q: 1, t: 1}?\n' | b'1/140\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 6, e: 4, h: 10}. What is prob of sequence gh?\n' | b'3/19\n' | b'Two letters picked without replacement from {g: 6, e: 4, h: 10}. What is prob of sequence gh?\n' | b'3/19\n' | deepmind/math_dataset |
b'Let n(x) = x**2 - 2*x. Let i be 144/42 + (-6)/14. Let r(l) = l**2 - 5*l. Let s(u) = i*r(u) - 7*n(u). What is s(-1)?\n' | b'-3\n' | b'Let n(x) = x**2 - 2*x. Let i be 144/42 + (-6)/14. Let r(l) = l**2 - 5*l. Let s(u) = i*r(u) - 7*n(u). What is s(-1)?\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (((c/(c*c*c*c*c**9*c))/(c**(2/9)*c*c)*((c*c**(-6)*c)/c)/(c**7/c))**1)**2 assuming c is positive.\n' | b'c**(-472/9)\n' | b'Simplify (((c/(c*c*c*c*c**9*c))/(c**(2/9)*c*c)*((c*c**(-6)*c)/c)/(c**7/c))**1)**2 assuming c is positive.\n' | b'c**(-472/9)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 1, v: 1, c: 1, o: 3, g: 5}. What is prob of picking 1 v and 1 o?\n' | b'3/55\n' | b'Two letters picked without replacement from {s: 1, v: 1, c: 1, o: 3, g: 5}. What is prob of picking 1 v and 1 o?\n' | b'3/55\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 1, a: 1, f: 2, s: 4, h: 1}. What is prob of picking 1 s, 1 f, and 1 g?\n' | b'2/21\n' | b'Three letters picked without replacement from {g: 1, a: 1, f: 2, s: 4, h: 1}. What is prob of picking 1 s, 1 f, and 1 g?\n' | b'2/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 6, r: 4}. What is prob of sequence rr?\n' | b'2/15\n' | b'Two letters picked without replacement from {k: 6, r: 4}. What is prob of sequence rr?\n' | b'2/15\n' | deepmind/math_dataset |
b'What is the third derivative of -1097*t**2 + 274*t**4 + 313*t**4 + 107*t**4 - 134*t**4 - 82*t**4 wrt t?\n' | b'11472*t\n' | b'What is the third derivative of -1097*t**2 + 274*t**4 + 313*t**4 + 107*t**4 - 134*t**4 - 82*t**4 wrt t?\n' | b'11472*t\n' | deepmind/math_dataset |
b'Let w(h) = -4*h - 77. Let t be w(-20). Let g(b) = 20*b**2 - 29*b - 8. Let l(x) = 7*x**2 - 10*x - 3. Let k(q) = 6*g(q) - 17*l(q). Determine k(t).\n' | b'0\n' | b'Let w(h) = -4*h - 77. Let t be w(-20). Let g(b) = 20*b**2 - 29*b - 8. Let l(x) = 7*x**2 - 10*x - 3. Let k(q) = 6*g(q) - 17*l(q). Determine k(t).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (((y**26/y)/y)**(-4/11)/(y*y**3)**34)**28 assuming y is positive.\n' | b'y**(-44576/11)\n' | b'Simplify (((y**26/y)/y)**(-4/11)/(y*y**3)**34)**28 assuming y is positive.\n' | b'y**(-44576/11)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o and 2 p when three letters picked without replacement from {o: 1, p: 7, t: 2}.\n' | b'7/40\n' | b'Calculate prob of picking 1 o and 2 p when three letters picked without replacement from {o: 1, p: 7, t: 2}.\n' | b'7/40\n' | deepmind/math_dataset |
b'Simplify ((b/(b**(-2/3)/b))/b**(-1/3))**(-33) assuming b is positive.\n' | b'b**(-99)\n' | b'Simplify ((b/(b**(-2/3)/b))/b**(-1/3))**(-33) assuming b is positive.\n' | b'b**(-99)\n' | deepmind/math_dataset |
b'Let q be -69 - (-6)/24*-4. Let k = 71 + q. Let a(m) = 3 - k + 6 + 8*m - 5*m**2 + 4*m**3 - 5*m**3. Determine a(-6).\n' | b'-4\n' | b'Let q be -69 - (-6)/24*-4. Let k = 71 + q. Let a(m) = 3 - k + 6 + 8*m - 5*m**2 + 4*m**3 - 5*m**3. Determine a(-6).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xvoovxvvxvxxx. What is prob of sequence oo?\n' | b'1/78\n' | b'Two letters picked without replacement from xvoovxvvxvxxx. What is prob of sequence oo?\n' | b'1/78\n' | deepmind/math_dataset |
b'Suppose 0 = -13*w - 123 + 45. Let a = 15 - w. Find the second derivative of -7*b**4 + 2*b + a*b**4 + 12*b - 4*b**4 wrt b.\n' | b'120*b**2\n' | b'Suppose 0 = -13*w - 123 + 45. Let a = 15 - w. Find the second derivative of -7*b**4 + 2*b + a*b**4 + 12*b - 4*b**4 wrt b.\n' | b'120*b**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 7, f: 2}. What is prob of picking 2 f?\n' | b'1/36\n' | b'Two letters picked without replacement from {z: 7, f: 2}. What is prob of picking 2 f?\n' | b'1/36\n' | deepmind/math_dataset |
b'Suppose 5 = -q + 2*q. Solve 4*m - 5*t + t = -4, -q*t + 5 = -4*m for m.\n' | b'0\n' | b'Suppose 5 = -q + 2*q. Solve 4*m - 5*t + t = -4, -q*t + 5 = -4*m for m.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (u**6*u*((u/(u/(u*u**7*u*u)))/u)/u)/((u**(-6)*u)/(u**(-3)*u)) assuming u is positive.\n' | b'u**18\n' | b'Simplify (u**6*u*((u/(u/(u*u**7*u*u)))/u)/u)/((u**(-6)*u)/(u**(-3)*u)) assuming u is positive.\n' | b'u**18\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vtxtxddxxvvhdhshsd. Give prob of picking 1 t, 1 x, and 1 s.\n' | b'1/51\n' | b'Three letters picked without replacement from vtxtxddxxvvhdhshsd. Give prob of picking 1 t, 1 x, and 1 s.\n' | b'1/51\n' | deepmind/math_dataset |
b'Four letters picked without replacement from loahlaehw. Give prob of picking 1 l, 2 h, and 1 o.\n' | b'1/63\n' | b'Four letters picked without replacement from loahlaehw. Give prob of picking 1 l, 2 h, and 1 o.\n' | b'1/63\n' | deepmind/math_dataset |
b'Calculate prob of sequence gq when two letters picked without replacement from {g: 15, q: 3}.\n' | b'5/34\n' | b'Calculate prob of sequence gq when two letters picked without replacement from {g: 15, q: 3}.\n' | b'5/34\n' | deepmind/math_dataset |
b'Let y(k) be the first derivative of k**5 - 9*k**2/2 - 5. Find the second derivative of y(o) wrt o.\n' | b'60*o**2\n' | b'Let y(k) be the first derivative of k**5 - 9*k**2/2 - 5. Find the second derivative of y(o) wrt o.\n' | b'60*o**2\n' | deepmind/math_dataset |
b'Let w(p) = p**3 - 11*p**2 - 11*p + 8. Let s be w(11). Let i = -102 - s. Solve -c = 4*c + 2*k + i, 5*c + 14 = -3*k for c.\n' | b'-1\n' | b'Let w(p) = p**3 - 11*p**2 - 11*p + 8. Let s be w(11). Let i = -102 - s. Solve -c = 4*c + 2*k + i, 5*c + 14 = -3*k for c.\n' | b'-1\n' | deepmind/math_dataset |
b'Let z(x) be the first derivative of 0*x - 1/3*x**3 + x**4 - 1 - 1/2*x**2. Suppose -4*h - 2 = 2. Give z(h).\n' | b'-4\n' | b'Let z(x) be the first derivative of 0*x - 1/3*x**3 + x**4 - 1 - 1/2*x**2. Suppose -4*h - 2 = 2. Give z(h).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((o**5*o*o*o*o**(-4)*o*o*o)/(o**(1/3)*o*o/o**(-2)))/((o*o*o/((o/o**4)/o*o)*o/o**(-1/10)*o)/(o**(-1))**43) assuming o is positive.\n' | b'o**(-1453/30)\n' | b'Simplify ((o**5*o*o*o*o**(-4)*o*o*o)/(o**(1/3)*o*o/o**(-2)))/((o*o*o/((o/o**4)/o*o)*o/o**(-1/10)*o)/(o**(-1))**43) assuming o is positive.\n' | b'o**(-1453/30)\n' | deepmind/math_dataset |
b'Simplify (w**(-3/23)*w*w**(-12)*(w**45)**(2/5))**(-7) assuming w is positive.\n' | b'w**(-1106/23)\n' | b'Simplify (w**(-3/23)*w*w**(-12)*(w**45)**(2/5))**(-7) assuming w is positive.\n' | b'w**(-1106/23)\n' | deepmind/math_dataset |
b'Let i(m) be the third derivative of 13*m**6/120 + 5*m**4/24 - 7*m**2. What is the second derivative of i(j) wrt j?\n' | b'78*j\n' | b'Let i(m) be the third derivative of 13*m**6/120 + 5*m**4/24 - 7*m**2. What is the second derivative of i(j) wrt j?\n' | b'78*j\n' | deepmind/math_dataset |
b'Calculate prob of sequence en when two letters picked without replacement from {e: 5, n: 2, z: 2}.\n' | b'5/36\n' | b'Calculate prob of sequence en when two letters picked without replacement from {e: 5, n: 2, z: 2}.\n' | b'5/36\n' | deepmind/math_dataset |
b'Let s = -159 - -164. Solve -2*t + 4*a = 35 - 7, 5*a - 45 = s*t for t.\n' | b'-4\n' | b'Let s = -159 - -164. Solve -2*t + 4*a = 35 - 7, 5*a - 45 = s*t for t.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 2*r - r - 30 = 0. Let o = 38 - r. Differentiate -g + 19*g + 15*g - 21 - o*g wrt g.\n' | b'25\n' | b'Suppose 2*r - r - 30 = 0. Let o = 38 - r. Differentiate -g + 19*g + 15*g - 21 - o*g wrt g.\n' | b'25\n' | deepmind/math_dataset |
b'Let d be (2 - -1)*(-2)/(-6). Solve -5*n - 5 = 5*a, n = -2 - d for a.\n' | b'2\n' | b'Let d be (2 - -1)*(-2)/(-6). Solve -5*n - 5 = 5*a, n = -2 - d for a.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 0 = -2*m + 4. Let f = 89 + -105. Let w = f + 31. Solve 0 = -2*t - m*j + 18, 0 = t - 4*j - j + w for t.\n' | b'5\n' | b'Suppose 0 = -2*m + 4. Let f = 89 + -105. Let w = f + 31. Solve 0 = -2*t - m*j + 18, 0 = t - 4*j - j + w for t.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ybfyffyfybbffyfvvyf. Give prob of picking 2 y.\n' | b'5/57\n' | b'Two letters picked without replacement from ybfyffyfybbffyfvvyf. Give prob of picking 2 y.\n' | b'5/57\n' | deepmind/math_dataset |
b'Let w(z) = -97*z**2 - 17*z - 13. Let i(t) = 145*t**2 + 25*t + 19. Let b(h) = 5*i(h) + 8*w(h). Find the second derivative of b(l) wrt l.\n' | b'-102\n' | b'Let w(z) = -97*z**2 - 17*z - 13. Let i(t) = 145*t**2 + 25*t + 19. Let b(h) = 5*i(h) + 8*w(h). Find the second derivative of b(l) wrt l.\n' | b'-102\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 4, v: 2, t: 1, c: 2, a: 1, x: 7}. What is prob of sequence atx?\n' | b'7/4080\n' | b'Three letters picked without replacement from {o: 4, v: 2, t: 1, c: 2, a: 1, x: 7}. What is prob of sequence atx?\n' | b'7/4080\n' | deepmind/math_dataset |
b'Simplify (x**9*x**(3/11))/(x*x*x**(-11)*x*x**(-1/20)) assuming x is positive.\n' | b'x**(3811/220)\n' | b'Simplify (x**9*x**(3/11))/(x*x*x**(-11)*x*x**(-1/20)) assuming x is positive.\n' | b'x**(3811/220)\n' | deepmind/math_dataset |
b'Let x(f) = -f**3 + 2*f**2 - 1. Let c be x(-1). Suppose -p = -0*p - 4. Let l(j) = 4 - 3*j - p + 3*j**2. Determine l(c).\n' | b'6\n' | b'Let x(f) = -f**3 + 2*f**2 - 1. Let c be x(-1). Suppose -p = -0*p - 4. Let l(j) = 4 - 3*j - p + 3*j**2. Determine l(c).\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of picking 1 o, 1 g, and 2 f when four letters picked without replacement from {g: 2, f: 7, m: 3, o: 2, j: 4}?\n' | b'7/255\n' | b'What is prob of picking 1 o, 1 g, and 2 f when four letters picked without replacement from {g: 2, f: 7, m: 3, o: 2, j: 4}?\n' | b'7/255\n' | deepmind/math_dataset |
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