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 w(z) be the second derivative of z**2 - 1/20*z**5 + 1/2*z**3 + 27*z + 0 + 1/2*z**4. Calculate w(6).\n' | b'20\n' | b'Let w(z) be the second derivative of z**2 - 1/20*z**5 + 1/2*z**3 + 27*z + 0 + 1/2*z**4. Calculate w(6).\n' | b'20\n' | deepmind/math_dataset |
b'What is the second derivative of -14*d**4 + 1 + 5338*d + 3*d**3 - 12613*d + 5265*d wrt d?\n' | b'-168*d**2 + 18*d\n' | b'What is the second derivative of -14*d**4 + 1 + 5338*d + 3*d**3 - 12613*d + 5265*d wrt d?\n' | b'-168*d**2 + 18*d\n' | deepmind/math_dataset |
b'Calculate prob of sequence osz when three letters picked without replacement from {o: 4, s: 5, z: 2}.\n' | b'4/99\n' | b'Calculate prob of sequence osz when three letters picked without replacement from {o: 4, s: 5, z: 2}.\n' | b'4/99\n' | deepmind/math_dataset |
b'Let z(s) = s**3 + 1. Let k(l) = 2*l - 2*l + 4*l**3 + 3 - 1. Let y(b) = k(b) - 3*z(b). Differentiate y(c) with respect to c.\n' | b'3*c**2\n' | b'Let z(s) = s**3 + 1. Let k(l) = 2*l - 2*l + 4*l**3 + 3 - 1. Let y(b) = k(b) - 3*z(b). Differentiate y(c) with respect to c.\n' | b'3*c**2\n' | deepmind/math_dataset |
b'Let q(m) = -2*m**2 + 4*m + 7. Let b be q(4). Let d be -2 - b/6 - (-28)/8. Solve -5*h - d*p = -12, 2*h - h - p = -4 for h.\n' | b'0\n' | b'Let q(m) = -2*m**2 + 4*m + 7. Let b be q(4). Let d be -2 - b/6 - (-28)/8. Solve -5*h - d*p = -12, 2*h - h - p = -4 for h.\n' | b'0\n' | deepmind/math_dataset |
b'Let x(u) be the second derivative of -u**5/20 + 2*u**4/3 + u**3/6 - 7*u**2/2 - u. Let h = 7734 - 7726. Determine x(h).\n' | b'1\n' | b'Let x(u) be the second derivative of -u**5/20 + 2*u**4/3 + u**3/6 - 7*u**2/2 - u. Let h = 7734 - 7726. Determine x(h).\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence dmad when four letters picked without replacement from {a: 8, m: 1, d: 5, q: 4}.\n' | b'1/459\n' | b'Calculate prob of sequence dmad when four letters picked without replacement from {a: 8, m: 1, d: 5, q: 4}.\n' | b'1/459\n' | deepmind/math_dataset |
b'Let f(c) be the second derivative of 1/20*c**5 - 2*c + 0 + 5/12*c**4 - 1/2*c**2 + 1/3*c**3. Suppose -4 = p + q, 4*q = -0*q. Calculate f(p).\n' | b'7\n' | b'Let f(c) be the second derivative of 1/20*c**5 - 2*c + 0 + 5/12*c**4 - 1/2*c**2 + 1/3*c**3. Suppose -4 = p + q, 4*q = -0*q. Calculate f(p).\n' | b'7\n' | deepmind/math_dataset |
b'Let j(v) = 6*v - 5*v - 1 - 2*v. Let c(m) = -7. Let z(q) = -c(q) + j(q). Calculate z(5).\n' | b'1\n' | b'Let j(v) = 6*v - 5*v - 1 - 2*v. Let c(m) = -7. Let z(q) = -c(q) + j(q). Calculate z(5).\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kbkpkkhhjhah. What is prob of sequence hk?\n' | b'4/33\n' | b'Two letters picked without replacement from kbkpkkhhjhah. What is prob of sequence hk?\n' | b'4/33\n' | deepmind/math_dataset |
b'Simplify w**(-5/3)/(w*w**(-20)) assuming w is positive.\n' | b'w**(52/3)\n' | b'Simplify w**(-5/3)/(w*w**(-20)) assuming w is positive.\n' | b'w**(52/3)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from suu. Give prob of picking 1 u and 1 s.\n' | b'2/3\n' | b'Two letters picked without replacement from suu. Give prob of picking 1 u and 1 s.\n' | b'2/3\n' | deepmind/math_dataset |
b'Suppose 0 = 5*o - 5*z - 25, -5*z - 4 - 3 = 4*o. Let i = o + 3. Solve 5*w + 5 = -i*s, 0 = w - 5*w + 3*s + 3 for w.\n' | b'0\n' | b'Suppose 0 = 5*o - 5*z - 25, -5*z - 4 - 3 = 4*o. Let i = o + 3. Solve 5*w + 5 = -i*s, 0 = w - 5*w + 3*s + 3 for w.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (y**(-3)*y/(((y**(3/4)*y*y*y*y)/y)/y))/((y**(-3/2)/y)/(y*y**9)) assuming y is positive.\n' | b'y**(31/4)\n' | b'Simplify (y**(-3)*y/(((y**(3/4)*y*y*y*y)/y)/y))/((y**(-3/2)/y)/(y*y**9)) assuming y is positive.\n' | b'y**(31/4)\n' | deepmind/math_dataset |
b'Simplify (j**(15/4)*j**7)**(1/18)/(((j*j*j**(-2))/j)**(7/11)*(j/(j*j**(3/2)))/(j*j**(2/13)/j)) assuming j is positive.\n' | b'j**(29729/10296)\n' | b'Simplify (j**(15/4)*j**7)**(1/18)/(((j*j*j**(-2))/j)**(7/11)*(j/(j*j**(3/2)))/(j*j**(2/13)/j)) assuming j is positive.\n' | b'j**(29729/10296)\n' | deepmind/math_dataset |
b'Let d(q) = -q**2 - 5*q - 1. Let j = 115 - 115. Suppose j = 3*a - 6*a - 2*o - 7, -3*a - o - 8 = 0. Determine d(a).\n' | b'5\n' | b'Let d(q) = -q**2 - 5*q - 1. Let j = 115 - 115. Suppose j = 3*a - 6*a - 2*o - 7, -3*a - o - 8 = 0. Determine d(a).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((t/(t**(-2/3)*t))/t*(t/t**(-5/2))/t)/(t/t**(2/5)*t/(t/t**(11/4))) assuming t is positive.\n' | b't**(-71/60)\n' | b'Simplify ((t/(t**(-2/3)*t))/t*(t/t**(-5/2))/t)/(t/t**(2/5)*t/(t/t**(11/4))) assuming t is positive.\n' | b't**(-71/60)\n' | deepmind/math_dataset |
b'Simplify (u**(-4/3)/u**(1/27))/(u**15*u**(-14)*u) assuming u is positive.\n' | b'u**(-91/27)\n' | b'Simplify (u**(-4/3)/u**(1/27))/(u**15*u**(-14)*u) assuming u is positive.\n' | b'u**(-91/27)\n' | deepmind/math_dataset |
b'Let m = 11 - 9. Let p(k) = 2*k - 4*k**3 + 0*k + 3*k**m - 2 + 5*k**3. Suppose 5*v - 2*t + 6 = 0, 6*v + 5*t + 18 = 2*v. Determine p(v).\n' | b'-2\n' | b'Let m = 11 - 9. Let p(k) = 2*k - 4*k**3 + 0*k + 3*k**m - 2 + 5*k**3. Suppose 5*v - 2*t + 6 = 0, 6*v + 5*t + 18 = 2*v. Determine p(v).\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 b, 1 r, and 1 p when four letters picked without replacement from {b: 2, r: 2, i: 2, k: 1, w: 2, p: 3}.\n' | b'2/165\n' | b'Calculate prob of picking 2 b, 1 r, and 1 p when four letters picked without replacement from {b: 2, r: 2, i: 2, k: 1, w: 2, p: 3}.\n' | b'2/165\n' | deepmind/math_dataset |
b'What is prob of picking 2 m when two letters picked without replacement from {m: 14, d: 1, h: 2}?\n' | b'91/136\n' | b'What is prob of picking 2 m when two letters picked without replacement from {m: 14, d: 1, h: 2}?\n' | b'91/136\n' | deepmind/math_dataset |
b'Let j(x) = 3*x**3 + x**2 + 1. Let m(b) = 17*b**3 - 8*b**2 - b - 7. Let t(w) = -6*j(w) + m(w). What is t(-14)?\n' | b'1\n' | b'Let j(x) = 3*x**3 + x**2 + 1. Let m(b) = 17*b**3 - 8*b**2 - b - 7. Let t(w) = -6*j(w) + m(w). What is t(-14)?\n' | b'1\n' | deepmind/math_dataset |
b'Let h(o) be the second derivative of -19*o**4/3 - o**3/6 - 65*o**2/2 - 25*o. Find the second derivative of h(n) wrt n.\n' | b'-152\n' | b'Let h(o) be the second derivative of -19*o**4/3 - o**3/6 - 65*o**2/2 - 25*o. Find the second derivative of h(n) wrt n.\n' | b'-152\n' | deepmind/math_dataset |
b'What is the first derivative of 6*a**4 - 2*a**4 - 3*a**4 - 1 - 2 wrt a?\n' | b'4*a**3\n' | b'What is the first derivative of 6*a**4 - 2*a**4 - 3*a**4 - 1 - 2 wrt a?\n' | b'4*a**3\n' | deepmind/math_dataset |
b'Simplify ((k**23)**15*(k*k*k**(-4/3))/(k**(-7)*k))**(-3) assuming k is positive.\n' | b'k**(-1055)\n' | b'Simplify ((k**23)**15*(k*k*k**(-4/3))/(k**(-7)*k))**(-3) assuming k is positive.\n' | b'k**(-1055)\n' | deepmind/math_dataset |
b'Simplify s**8*s/((s/(s*s*s**(-2)))/s)*(s**(-2/3))**(-10/7)*(s**(2/13)/s**(-1/8))/(s/(s**(-2/7)/s)*s*s*s/(s/(s*s**(-2/5)))) assuming s is positive.\n' | b's**(8339/1560)\n' | b'Simplify s**8*s/((s/(s*s*s**(-2)))/s)*(s**(-2/3))**(-10/7)*(s**(2/13)/s**(-1/8))/(s/(s**(-2/7)/s)*s*s*s/(s/(s*s**(-2/5)))) assuming s is positive.\n' | b's**(8339/1560)\n' | deepmind/math_dataset |
b'Suppose 5*v = 794 - 784. What is the second derivative of 575 - 573 - 5*k - v*k**2 + 3*k**2 wrt k?\n' | b'2\n' | b'Suppose 5*v = 794 - 784. What is the second derivative of 575 - 573 - 5*k - v*k**2 + 3*k**2 wrt k?\n' | b'2\n' | deepmind/math_dataset |
b'Let y(x) = -x**3 + 9*x**2 + x - 12. Let n(w) = 2*w**3 - 19*w**2 - w + 25. Let l(z) = 6*n(z) + 13*y(z). Give l(4).\n' | b'6\n' | b'Let y(x) = -x**3 + 9*x**2 + x - 12. Let n(w) = 2*w**3 - 19*w**2 - w + 25. Let l(z) = 6*n(z) + 13*y(z). Give l(4).\n' | b'6\n' | deepmind/math_dataset |
b'Suppose 5*t - 96 = m + 3*m, -2*m = 2*t - 42. Suppose -t - 15 = -7*w. Let s(f) = 6*f. Let k(v) = 5*v. Let r(x) = -5*k(x) + 4*s(x). Determine r(w).\n' | b'-5\n' | b'Suppose 5*t - 96 = m + 3*m, -2*m = 2*t - 42. Suppose -t - 15 = -7*w. Let s(f) = 6*f. Let k(v) = 5*v. Let r(x) = -5*k(x) + 4*s(x). Determine r(w).\n' | b'-5\n' | deepmind/math_dataset |
b'Let c(x) = 4*x + 1. Let u be (-3 - (-55)/5)/1. Suppose -16*k + 8*k + u = 0. Determine c(k).\n' | b'5\n' | b'Let c(x) = 4*x + 1. Let u be (-3 - (-55)/5)/1. Suppose -16*k + 8*k + u = 0. Determine c(k).\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 1, e: 3, p: 5}. Give prob of sequence epe.\n' | b'5/84\n' | b'Three letters picked without replacement from {o: 1, e: 3, p: 5}. Give prob of sequence epe.\n' | b'5/84\n' | deepmind/math_dataset |
b'Let c = -373 + 376. Solve 4*i + c*q - 5*q - 12 = 0, 0 = -5*i + 2*q + 15 for i.\n' | b'3\n' | b'Let c = -373 + 376. Solve 4*i + c*q - 5*q - 12 = 0, 0 = -5*i + 2*q + 15 for i.\n' | b'3\n' | deepmind/math_dataset |
b'Let y(v) = 2*v + 7. Let s be y(7). Suppose 0 = 4*w - h - s, h + 4*h = 3*w - 37. Let r(p) = -p**3 + 4*p**2 + p + 5. What is r(w)?\n' | b'9\n' | b'Let y(v) = 2*v + 7. Let s be y(7). Suppose 0 = 4*w - h - s, h + 4*h = 3*w - 37. Let r(p) = -p**3 + 4*p**2 + p + 5. What is r(w)?\n' | b'9\n' | deepmind/math_dataset |
b'Let i(k) = -k**2 - 235*k - 3295. Let n be i(-15). Let m(c) = -2*c**3 + c**2 + c + 1. Let r be m(-1). Solve x - 5*x + 1 = n*y, -y = -r*x - 4 for x.\n' | b'-1\n' | b'Let i(k) = -k**2 - 235*k - 3295. Let n be i(-15). Let m(c) = -2*c**3 + c**2 + c + 1. Let r be m(-1). Solve x - 5*x + 1 = n*y, -y = -r*x - 4 for x.\n' | b'-1\n' | deepmind/math_dataset |
b'Let y(w) = w**3 - 9*w**2 + w + 11. Let f be 11/1 - (-1 - -3). Let x be 2/((-4)/f)*-2. Let q be y(x). Solve -4*i = -q, s - 4*s + 17 = 4*i for s.\n' | b'-1\n' | b'Let y(w) = w**3 - 9*w**2 + w + 11. Let f be 11/1 - (-1 - -3). Let x be 2/((-4)/f)*-2. Let q be y(x). Solve -4*i = -q, s - 4*s + 17 = 4*i for s.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -5*l = -5, 0 = -4*a - 3*l + 17 - 2. Let g(n) be the first derivative of 2*n**4 + 0*n**2 + 7/3*n**a + 0*n + 4. Find the third derivative of g(z) wrt z.\n' | b'48\n' | b'Suppose -5*l = -5, 0 = -4*a - 3*l + 17 - 2. Let g(n) be the first derivative of 2*n**4 + 0*n**2 + 7/3*n**a + 0*n + 4. Find the third derivative of g(z) wrt z.\n' | b'48\n' | deepmind/math_dataset |
b'Let d = 84 + -77. Let i(v) = -v**2 + 9*v - 6. Let r(z) = -2*z**2 + 17*z - 11. Let n(p) = d*i(p) - 4*r(p). Determine n(7).\n' | b'16\n' | b'Let d = 84 + -77. Let i(v) = -v**2 + 9*v - 6. Let r(z) = -2*z**2 + 17*z - 11. Let n(p) = d*i(p) - 4*r(p). Determine n(7).\n' | b'16\n' | deepmind/math_dataset |
b'Let q(u) = u**2 + 70*u - 51*u - 2 - 20*u. Let n(y) = 2*y**2 + y - 2. Let a(m) = 2*n(m) - 3*q(m). Determine a(-6).\n' | b'8\n' | b'Let q(u) = u**2 + 70*u - 51*u - 2 - 20*u. Let n(y) = 2*y**2 + y - 2. Let a(m) = 2*n(m) - 3*q(m). Determine a(-6).\n' | b'8\n' | deepmind/math_dataset |
b'Let b = 13 - -103. What is the third derivative of 117*v**2 + 16*v**6 - b*v**2 + 6*v**6 wrt v?\n' | b'2640*v**3\n' | b'Let b = 13 - -103. What is the third derivative of 117*v**2 + 16*v**6 - b*v**2 + 6*v**6 wrt v?\n' | b'2640*v**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 6, m: 4, v: 5}. What is prob of sequence mm?\n' | b'2/35\n' | b'Two letters picked without replacement from {x: 6, m: 4, v: 5}. What is prob of sequence mm?\n' | b'2/35\n' | deepmind/math_dataset |
b'Calculate prob of sequence dd when two letters picked without replacement from ededdeedrrereedrdd.\n' | b'7/51\n' | b'Calculate prob of sequence dd when two letters picked without replacement from ededdeedrrereedrdd.\n' | b'7/51\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bwbibwddidwbb. What is prob of picking 2 i and 1 w?\n' | b'3/286\n' | b'Three letters picked without replacement from bwbibwddidwbb. What is prob of picking 2 i and 1 w?\n' | b'3/286\n' | deepmind/math_dataset |
b'What is prob of picking 1 z, 1 e, and 2 l when four letters picked without replacement from {e: 3, z: 3, l: 2, v: 5}?\n' | b'9/715\n' | b'What is prob of picking 1 z, 1 e, and 2 l when four letters picked without replacement from {e: 3, z: 3, l: 2, v: 5}?\n' | b'9/715\n' | deepmind/math_dataset |
b'What is prob of sequence ghg when three letters picked without replacement from ggavshqgqsqvsqv?\n' | b'1/455\n' | b'What is prob of sequence ghg when three letters picked without replacement from ggavshqgqsqvsqv?\n' | b'1/455\n' | deepmind/math_dataset |
b'What is prob of picking 4 n when four letters picked without replacement from nnnnn?\n' | b'1\n' | b'What is prob of picking 4 n when four letters picked without replacement from nnnnn?\n' | b'1\n' | deepmind/math_dataset |
b'Let i be (6/8)/(9/24). What is the derivative of 0*g + 7 + g - i + 0*g wrt g?\n' | b'1\n' | b'Let i be (6/8)/(9/24). What is the derivative of 0*g + 7 + g - i + 0*g wrt g?\n' | b'1\n' | deepmind/math_dataset |
b'Let n = 34 - 24. Differentiate n + 27*j**2 - 5*j**3 - 27*j**2 with respect to j.\n' | b'-15*j**2\n' | b'Let n = 34 - 24. Differentiate n + 27*j**2 - 5*j**3 - 27*j**2 with respect to j.\n' | b'-15*j**2\n' | deepmind/math_dataset |
b'Suppose -7*o - 1 = -1. Let v be (4 + (o - 0))*36/48. Solve 3*p + v = -3*s, s - 1 - 4 = 5*p for p.\n' | b'-1\n' | b'Suppose -7*o - 1 = -1. Let v be (4 + (o - 0))*36/48. Solve 3*p + v = -3*s, s - 1 - 4 = 5*p for p.\n' | b'-1\n' | deepmind/math_dataset |
b'Let u(y) be the third derivative of y**8/560 + y**4/8 - y**3/2 - 2*y**2. Let w(s) be the first derivative of u(s). What is the first derivative of w(m) wrt m?\n' | b'12*m**3\n' | b'Let u(y) be the third derivative of y**8/560 + y**4/8 - y**3/2 - 2*y**2. Let w(s) be the first derivative of u(s). What is the first derivative of w(m) wrt m?\n' | b'12*m**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 s when three letters picked without replacement from sssssvsssvsss.\n' | b'15/26\n' | b'Calculate prob of picking 3 s when three letters picked without replacement from sssssvsssvsss.\n' | b'15/26\n' | deepmind/math_dataset |
b'Simplify q/q**(2/7)*q*q**24*q assuming q is positive.\n' | b'q**(187/7)\n' | b'Simplify q/q**(2/7)*q*q**24*q assuming q is positive.\n' | b'q**(187/7)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from dddpuddqd. Give prob of sequence dpq.\n' | b'1/84\n' | b'Three letters picked without replacement from dddpuddqd. Give prob of sequence dpq.\n' | b'1/84\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {j: 4, i: 1, n: 6}.\n' | b'6/55\n' | b'Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {j: 4, i: 1, n: 6}.\n' | b'6/55\n' | deepmind/math_dataset |
b'Simplify r*r/r**(1/5)*r**(-3/8)*r*r*r/(r*r/(r/r**(-5/3))*r)*r/(r/((r*r**(-3/7))/r)) assuming r is positive.\n' | b'r**(3077/840)\n' | b'Simplify r*r/r**(1/5)*r**(-3/8)*r*r*r/(r*r/(r/r**(-5/3))*r)*r/(r/((r*r**(-3/7))/r)) assuming r is positive.\n' | b'r**(3077/840)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 4, m: 4, k: 6}. Give prob of picking 3 x.\n' | b'1/91\n' | b'Three letters picked without replacement from {x: 4, m: 4, k: 6}. Give prob of picking 3 x.\n' | b'1/91\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 1 w when two letters picked without replacement from wwwwwkwwwwwwwwwwww?\n' | b'1/9\n' | b'What is prob of picking 1 k and 1 w when two letters picked without replacement from wwwwwkwwwwwwwwwwww?\n' | b'1/9\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 2, t: 1, f: 2, e: 2, r: 1, h: 1}. Give prob of picking 2 e.\n' | b'1/36\n' | b'Two letters picked without replacement from {m: 2, t: 1, f: 2, e: 2, r: 1, h: 1}. Give prob of picking 2 e.\n' | b'1/36\n' | deepmind/math_dataset |
b'Simplify (((l/l**(-2/7))/l)**(35/3)/((l*l*l*l/(l/(l**12/l)))/(l*((l/(l/(l*l**(-13))*l))/l)/l)))**(-3/32) assuming l is positive.\n' | b'l**(37/16)\n' | b'Simplify (((l/l**(-2/7))/l)**(35/3)/((l*l*l*l/(l/(l**12/l)))/(l*((l/(l/(l*l**(-13))*l))/l)/l)))**(-3/32) assuming l is positive.\n' | b'l**(37/16)\n' | deepmind/math_dataset |
b'Simplify ((b*b**3/b)/b*b**(-2/5)*b/(b/(b/(b**(-2)*b)*b))*b*((b**(-5/3)*b)/b)/b*b)**(37/2) assuming b is positive.\n' | b'b**(2183/30)\n' | b'Simplify ((b*b**3/b)/b*b**(-2/5)*b/(b/(b/(b**(-2)*b)*b))*b*((b**(-5/3)*b)/b)/b*b)**(37/2) assuming b is positive.\n' | b'b**(2183/30)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from fgffggggfggsfgss. What is prob of sequence gfsg?\n' | b'1/52\n' | b'Four letters picked without replacement from fgffggggfggsfgss. What is prob of sequence gfsg?\n' | b'1/52\n' | deepmind/math_dataset |
b'Let z = -19 - -4. Let p(r) = -2*r - 32. Let u be p(z). Let v(j) = j**2. Let a be v(u). Solve -2 = -a*c - 3*w + 3, 5 = 3*c + w for c.\n' | b'2\n' | b'Let z = -19 - -4. Let p(r) = -2*r - 32. Let u be p(z). Let v(j) = j**2. Let a be v(u). Solve -2 = -a*c - 3*w + 3, 5 = 3*c + w for c.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -37 - 44 = -3*u. Let w(j) = j**2 - 29*j + 57. Let n be w(u). Solve -k - 5*a - 10 = 0, n*k - a = 5*k - 7 for k.\n' | b'5\n' | b'Suppose -37 - 44 = -3*u. Let w(j) = j**2 - 29*j + 57. Let n be w(u). Solve -k - 5*a - 10 = 0, n*k - a = 5*k - 7 for k.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence hhz when three letters picked without replacement from {y: 5, z: 8, h: 2}.\n' | b'8/1365\n' | b'Calculate prob of sequence hhz when three letters picked without replacement from {y: 5, z: 8, h: 2}.\n' | b'8/1365\n' | deepmind/math_dataset |
b'Simplify ((o**(-4)*o)/o)/o*o**(1/23)*(o*o**(-1)/o)**36 assuming o is positive.\n' | b'o**(-942/23)\n' | b'Simplify ((o**(-4)*o)/o)/o*o**(1/23)*(o*o**(-1)/o)**36 assuming o is positive.\n' | b'o**(-942/23)\n' | deepmind/math_dataset |
b'Let b(v) = -v**2 + 13*v - 18. Let f be b(10). Let t(k) = -5*k**3 - k**2 - k. Let a be t(-1). Suppose 3*q - a = 7. Solve 1 - 4 = -w, q*c + f = 4*w for c.\n' | b'0\n' | b'Let b(v) = -v**2 + 13*v - 18. Let f be b(10). Let t(k) = -5*k**3 - k**2 - k. Let a be t(-1). Suppose 3*q - a = 7. Solve 1 - 4 = -w, q*c + f = 4*w for c.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 4, u: 2}. Give prob of picking 3 y.\n' | b'1/5\n' | b'Three letters picked without replacement from {y: 4, u: 2}. Give prob of picking 3 y.\n' | b'1/5\n' | deepmind/math_dataset |
b'What is the third derivative of 3*x**2 - 152 + 1587*x**3 + 112 + 130 wrt x?\n' | b'9522\n' | b'What is the third derivative of 3*x**2 - 152 + 1587*x**3 + 112 + 130 wrt x?\n' | b'9522\n' | deepmind/math_dataset |
b'Let g(o) = 0*o**3 - 1 + 0*o - 4*o**3 - 4*o + 2*o**2 + 2*o. Let k(h) = -9*h**3 + 3*h**2 - 4*h - 1. Let r(x) = 7*g(x) - 3*k(x). Calculate r(3).\n' | b'8\n' | b'Let g(o) = 0*o**3 - 1 + 0*o - 4*o**3 - 4*o + 2*o**2 + 2*o. Let k(h) = -9*h**3 + 3*h**2 - 4*h - 1. Let r(x) = 7*g(x) - 3*k(x). Calculate r(3).\n' | b'8\n' | deepmind/math_dataset |
b'Suppose s + 4*t - 4 = 0, -2*s - 2*t = -3 + 1. Let l be (0 - s)*14/(-28). Let m(u) = 2*u + 1. Let x be m(l). Solve 4*q + x = -7, q = 5*o + 18 for o.\n' | b'-4\n' | b'Suppose s + 4*t - 4 = 0, -2*s - 2*t = -3 + 1. Let l be (0 - s)*14/(-28). Let m(u) = 2*u + 1. Let x be m(l). Solve 4*q + x = -7, q = 5*o + 18 for o.\n' | b'-4\n' | deepmind/math_dataset |
b'Let i be 0/(-1)*9*(-10)/(-90). What is the second derivative of i*y + 185*y**4 + 2*y - 185*y**4 - 2 + 26*y**5 wrt y?\n' | b'520*y**3\n' | b'Let i be 0/(-1)*9*(-10)/(-90). What is the second derivative of i*y + 185*y**4 + 2*y - 185*y**4 - 2 + 26*y**5 wrt y?\n' | b'520*y**3\n' | deepmind/math_dataset |
b'Suppose 4*l - 24 = -2*x, 120*l - 21 = 2*x + 115*l. Let p = -3 + 7. Suppose -p*b + 38 = -2. Solve -15 = 3*k, -4*u + b + x = -4*k for u.\n' | b'-2\n' | b'Suppose 4*l - 24 = -2*x, 120*l - 21 = 2*x + 115*l. Let p = -3 + 7. Suppose -p*b + 38 = -2. Solve -15 = 3*k, -4*u + b + x = -4*k for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uiuppiipi. Give prob of picking 3 p.\n' | b'1/84\n' | b'Three letters picked without replacement from uiuppiipi. Give prob of picking 3 p.\n' | b'1/84\n' | deepmind/math_dataset |
b'Let q(s) = -s - 3. Let x(j) = j**2 + 7*j + 1. Let a be x(-5). Let i = 14 + a. Suppose -d - 9 = -3*z, -z - i = d - 0*z. Determine q(d).\n' | b'3\n' | b'Let q(s) = -s - 3. Let x(j) = j**2 + 7*j + 1. Let a be x(-5). Let i = 14 + a. Suppose -d - 9 = -3*z, -z - i = d - 0*z. Determine q(d).\n' | b'3\n' | deepmind/math_dataset |
b'Let w(t) be the second derivative of 0*t**3 - 6*t + 3/4*t**5 + 3/2*t**2 + 0*t**4 + 0. Differentiate w(f) wrt f.\n' | b'45*f**2\n' | b'Let w(t) be the second derivative of 0*t**3 - 6*t + 3/4*t**5 + 3/2*t**2 + 0*t**4 + 0. Differentiate w(f) wrt f.\n' | b'45*f**2\n' | deepmind/math_dataset |
b'Let l(d) = d**3 + 2*d**2 - 15*d + 25. Let c = 12375 + -12372. Give l(c).\n' | b'25\n' | b'Let l(d) = d**3 + 2*d**2 - 15*d + 25. Let c = 12375 + -12372. Give l(c).\n' | b'25\n' | deepmind/math_dataset |
b'Let c(j) = 0 + 2*j - 1 - j**2 + 0*j - j. Suppose -q + 15*q - 42 = 0. Determine c(q).\n' | b'-7\n' | b'Let c(j) = 0 + 2*j - 1 - j**2 + 0*j - j. Suppose -q + 15*q - 42 = 0. Determine c(q).\n' | b'-7\n' | deepmind/math_dataset |
b'Let c(m) be the third derivative of -m**9/60480 - m**8/20160 + m**6/180 - m**5/15 - 5*m**2. Let h(t) be the third derivative of c(t). Give h(0).\n' | b'4\n' | b'Let c(m) be the third derivative of -m**9/60480 - m**8/20160 + m**6/180 - m**5/15 - 5*m**2. Let h(t) be the third derivative of c(t). Give h(0).\n' | b'4\n' | deepmind/math_dataset |
b'Let w(y) = y**3 + 3*y**2 + y. Let v = -18 - -16. Let n be w(v). Solve 0*p - n*r = -p - 6, -4 = 4*p - 3*r for p.\n' | b'2\n' | b'Let w(y) = y**3 + 3*y**2 + y. Let v = -18 - -16. Let n be w(v). Solve 0*p - n*r = -p - 6, -4 = 4*p - 3*r for p.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 4, b: 14}. Give prob of picking 2 l and 1 b.\n' | b'7/68\n' | b'Three letters picked without replacement from {l: 4, b: 14}. Give prob of picking 2 l and 1 b.\n' | b'7/68\n' | deepmind/math_dataset |
b'What is prob of sequence lin when three letters picked without replacement from iinnnnnnninnnnnnnnln?\n' | b'2/285\n' | b'What is prob of sequence lin when three letters picked without replacement from iinnnnnnninnnnnnnnln?\n' | b'2/285\n' | deepmind/math_dataset |
b'Calculate prob of sequence nd when two letters picked without replacement from {d: 3, n: 3}.\n' | b'3/10\n' | b'Calculate prob of sequence nd when two letters picked without replacement from {d: 3, n: 3}.\n' | b'3/10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lldldldllddlllll. Give prob of sequence ddld.\n' | b'11/728\n' | b'Four letters picked without replacement from lldldldllddlllll. Give prob of sequence ddld.\n' | b'11/728\n' | deepmind/math_dataset |
b'Let x(k) be the first derivative of 0*k + 0*k**3 - 3 - k**4 + 1/2*k**2. Find the second derivative of x(t) wrt t.\n' | b'-24*t\n' | b'Let x(k) be the first derivative of 0*k + 0*k**3 - 3 - k**4 + 1/2*k**2. Find the second derivative of x(t) wrt t.\n' | b'-24*t\n' | deepmind/math_dataset |
b'Calculate prob of sequence mmy when three letters picked without replacement from ymiiyiimi.\n' | b'1/126\n' | b'Calculate prob of sequence mmy when three letters picked without replacement from ymiiyiimi.\n' | b'1/126\n' | deepmind/math_dataset |
b'Simplify (w*w**(-4)*w*(((w/w**6)/w)/w)/w)/(w*w*w*(w/(w**(2/3)/w))/w)**17*((w/(((w/w**(-2/9))/w)/w*w))/(w*w/w**(-2/7)))**(1/30) assuming w is positive.\n' | b'w**(-25219/378)\n' | b'Simplify (w*w**(-4)*w*(((w/w**6)/w)/w)/w)/(w*w*w*(w/(w**(2/3)/w))/w)**17*((w/(((w/w**(-2/9))/w)/w*w))/(w*w/w**(-2/7)))**(1/30) assuming w is positive.\n' | b'w**(-25219/378)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gbzbzbwnwnzmw. What is prob of sequence zz?\n' | b'1/26\n' | b'Two letters picked without replacement from gbzbzbwnwnzmw. What is prob of sequence zz?\n' | b'1/26\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 2, n: 1, u: 1, j: 1, b: 2, q: 1}. Give prob of sequence ibui.\n' | b'1/420\n' | b'Four letters picked without replacement from {i: 2, n: 1, u: 1, j: 1, b: 2, q: 1}. Give prob of sequence ibui.\n' | b'1/420\n' | deepmind/math_dataset |
b'Let o(r) = 3*r**2 - r**2 - r**3 - r + 2*r**3 - 6*r**2 - 5. Let v be (-1 - 0)/(-1) + 3. Determine o(v).\n' | b'-9\n' | b'Let o(r) = 3*r**2 - r**2 - r**3 - r + 2*r**3 - 6*r**2 - 5. Let v be (-1 - 0)/(-1) + 3. Determine o(v).\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify ((n/(n*n**1)*n**(1/6))/((n*n**(-2/9))/n*n**(-1/4)))/(n**2*(n*n**(-1/4)*n)/n)**(-47) assuming n is positive.\n' | b'n**(1160/9)\n' | b'Simplify ((n/(n*n**1)*n**(1/6))/((n*n**(-2/9))/n*n**(-1/4)))/(n**2*(n*n**(-1/4)*n)/n)**(-47) assuming n is positive.\n' | b'n**(1160/9)\n' | deepmind/math_dataset |
b'Suppose 4*n + 220 = 4*k, -2*n - 4*k - 50 - 36 = 0. Let d = n - -55. Let m(b) = b + 7. Let j be m(-4). Solve 0*l = -2*z + 5*l - d, -4*z = -j*l + 8 for z.\n' | b'-2\n' | b'Suppose 4*n + 220 = 4*k, -2*n - 4*k - 50 - 36 = 0. Let d = n - -55. Let m(b) = b + 7. Let j be m(-4). Solve 0*l = -2*z + 5*l - d, -4*z = -j*l + 8 for z.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from swcsksszks. Give prob of sequence kk.\n' | b'1/45\n' | b'Two letters picked without replacement from swcsksszks. Give prob of sequence kk.\n' | b'1/45\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 j and 1 m when four letters picked without replacement from {h: 1, j: 4, m: 3}.\n' | b'6/35\n' | b'Calculate prob of picking 3 j and 1 m when four letters picked without replacement from {h: 1, j: 4, m: 3}.\n' | b'6/35\n' | deepmind/math_dataset |
b'Let i(g) be the second derivative of -10*g + 6 + 31*g**2 - 3/20*g**5 - 3/2*g**3 + 0*g**4. Find the first derivative of i(o) wrt o.\n' | b'-9*o**2 - 9\n' | b'Let i(g) be the second derivative of -10*g + 6 + 31*g**2 - 3/20*g**5 - 3/2*g**3 + 0*g**4. Find the first derivative of i(o) wrt o.\n' | b'-9*o**2 - 9\n' | deepmind/math_dataset |
b'Let u(z) = 23*z**3 - 4*z**2 + 36*z - 38. Let d(n) = 15*n**3 - 3*n**2 + 23*n - 24. Let a(v) = 8*d(v) - 5*u(v). Determine a(2).\n' | b'30\n' | b'Let u(z) = 23*z**3 - 4*z**2 + 36*z - 38. Let d(n) = 15*n**3 - 3*n**2 + 23*n - 24. Let a(v) = 8*d(v) - 5*u(v). Determine a(2).\n' | b'30\n' | deepmind/math_dataset |
b'Simplify ((h*h*h*h**(-15)*h*h)/(h/(h*h**(1/15)*h*h)*h))**(-2/31) assuming h is positive.\n' | b'h**(268/465)\n' | b'Simplify ((h*h*h*h**(-15)*h*h)/(h/(h*h**(1/15)*h*h)*h))**(-2/31) assuming h is positive.\n' | b'h**(268/465)\n' | deepmind/math_dataset |
b'Let z(h) = h**3 - 12*h**2 - 9*h + 7. Let s(a) = -a**3 + 13*a**2 + 9*a - 7. Let r(m) = 5*s(m) + 6*z(m). Give r(8).\n' | b'-1\n' | b'Let z(h) = h**3 - 12*h**2 - 9*h + 7. Let s(a) = -a**3 + 13*a**2 + 9*a - 7. Let r(m) = 5*s(m) + 6*z(m). Give r(8).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (y**(3/11)*y)/y*y*(y*y/y**12)/y*(((y*y/(y*y**(3/7)))/y)/y*y)**(17/2) assuming y is positive.\n' | b'y**(-2059/154)\n' | b'Simplify (y**(3/11)*y)/y*y*(y*y/y**12)/y*(((y*y/(y*y**(3/7)))/y)/y*y)**(17/2) assuming y is positive.\n' | b'y**(-2059/154)\n' | deepmind/math_dataset |
b'Let k(q) be the first derivative of 5*q**6/2 + 14*q**2 + 27. What is the second derivative of k(i) wrt i?\n' | b'300*i**3\n' | b'Let k(q) be the first derivative of 5*q**6/2 + 14*q**2 + 27. What is the second derivative of k(i) wrt i?\n' | b'300*i**3\n' | deepmind/math_dataset |
b'What is prob of sequence hh when two letters picked without replacement from hjjjhhhhjh?\n' | b'1/3\n' | b'What is prob of sequence hh when two letters picked without replacement from hjjjhhhhjh?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let f(q) be the first derivative of 141*q**8/56 + 31*q**4/12 + 66*q + 14. Let t(k) be the first derivative of f(k). What is the third derivative of t(s) wrt s?\n' | b'16920*s**3\n' | b'Let f(q) be the first derivative of 141*q**8/56 + 31*q**4/12 + 66*q + 14. Let t(k) be the first derivative of f(k). What is the third derivative of t(s) wrt s?\n' | b'16920*s**3\n' | deepmind/math_dataset |
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