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 d = -459 + 519. Suppose 25*t - 19*t = d. Solve u = 2*z - 2*u + 2, 3*z = u - t for z.\n' | b'-4\n' | b'Let d = -459 + 519. Suppose 25*t - 19*t = d. Solve u = 2*z - 2*u + 2, 3*z = u - t for z.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iijjkijjmmiijiii. What is prob of picking 1 k and 1 m?\n' | b'1/60\n' | b'Two letters picked without replacement from iijjkijjmmiijiii. What is prob of picking 1 k and 1 m?\n' | b'1/60\n' | deepmind/math_dataset |
b'Suppose -2*z - 5*v = 31 + 11, -v + 51 = -5*z. Let c = z + 14. Let r(f) = -f**2 - 2*f + 4. Determine r(c).\n' | b'-11\n' | b'Suppose -2*z - 5*v = 31 + 11, -v + 51 = -5*z. Let c = z + 14. Let r(f) = -f**2 - 2*f + 4. Determine r(c).\n' | b'-11\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 1, j: 2, o: 2, x: 1, q: 1, d: 1}. What is prob of sequence qj?\n' | b'1/28\n' | b'Two letters picked without replacement from {l: 1, j: 2, o: 2, x: 1, q: 1, d: 1}. What is prob of sequence qj?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let x(v) be the first derivative of -v**3 - v**2/2 + 168*v + 132. Differentiate x(w) wrt w.\n' | b'-6*w - 1\n' | b'Let x(v) be the first derivative of -v**3 - v**2/2 + 168*v + 132. Differentiate x(w) wrt w.\n' | b'-6*w - 1\n' | deepmind/math_dataset |
b'Let d be (-88)/(-32) + (-1)/(-4). Suppose -2*q - 3*z = -3 - 3, 9 = d*q + 3*z. Solve 8*g = 4*g + q*i - 5, 0 = 4*i + 20 for g.\n' | b'-5\n' | b'Let d be (-88)/(-32) + (-1)/(-4). Suppose -2*q - 3*z = -3 - 3, 9 = d*q + 3*z. Solve 8*g = 4*g + q*i - 5, 0 = 4*i + 20 for g.\n' | b'-5\n' | deepmind/math_dataset |
b'Find the third derivative of -16*z**5 + 16*z**2 - 8*z**2 + 4*z**2 wrt z.\n' | b'-960*z**2\n' | b'Find the third derivative of -16*z**5 + 16*z**2 - 8*z**2 + 4*z**2 wrt z.\n' | b'-960*z**2\n' | deepmind/math_dataset |
b'Suppose 5*l - 10 = -0*l. Find the third derivative of 8*h**l - 52*h + 52*h - 11*h**3 wrt h.\n' | b'-66\n' | b'Suppose 5*l - 10 = -0*l. Find the third derivative of 8*h**l - 52*h + 52*h - 11*h**3 wrt h.\n' | b'-66\n' | deepmind/math_dataset |
b'Let y(d) = 6*d**2 + 3*d - 5. Let k be y(1). Solve -z - 4*j + k = -5*z, 4*z = 2*j - 12 for z.\n' | b'-5\n' | b'Let y(d) = 6*d**2 + 3*d - 5. Let k be y(1). Solve -z - 4*j + k = -5*z, 4*z = 2*j - 12 for z.\n' | b'-5\n' | deepmind/math_dataset |
b'Let p = 329 - 233. Find the first derivative of -169 + 113 - p*k + 138*k + 167*k wrt k.\n' | b'209\n' | b'Let p = 329 - 233. Find the first derivative of -169 + 113 - p*k + 138*k + 167*k wrt k.\n' | b'209\n' | deepmind/math_dataset |
b'Simplify (k**(2/5)/k*k/k**(1/2))/(k**(-4)*(k/(k**10/k)*k*k)/k) assuming k is positive.\n' | b'k**(109/10)\n' | b'Simplify (k**(2/5)/k*k/k**(1/2))/(k**(-4)*(k/(k**10/k)*k*k)/k) assuming k is positive.\n' | b'k**(109/10)\n' | deepmind/math_dataset |
b'Simplify (c*c/c**(-2/7))**25/((((c**(-14)/c)/c)/c)/(c**(-15)*c)) assuming c is positive.\n' | b'c**(421/7)\n' | b'Simplify (c*c/c**(-2/7))**25/((((c**(-14)/c)/c)/c)/(c**(-15)*c)) assuming c is positive.\n' | b'c**(421/7)\n' | deepmind/math_dataset |
b'Let s(a) be the third derivative of 0*a - 30*a**2 + 0*a**3 + 0*a**4 + 0 + 0*a**6 + 11/30*a**5 - 1/30*a**7. Find the third derivative of s(y) wrt y.\n' | b'-168*y\n' | b'Let s(a) be the third derivative of 0*a - 30*a**2 + 0*a**3 + 0*a**4 + 0 + 0*a**6 + 11/30*a**5 - 1/30*a**7. Find the third derivative of s(y) wrt y.\n' | b'-168*y\n' | deepmind/math_dataset |
b'Let j be (-22)/(-33) - 4/(-3). Let a be 0*(-4)/(8/j). Let i be 9/3 + a - 0. Solve 0 = -4*l + 4*s, i*l - 9 + 23 = -4*s for l.\n' | b'-2\n' | b'Let j be (-22)/(-33) - 4/(-3). Let a be 0*(-4)/(8/j). Let i be 9/3 + a - 0. Solve 0 = -4*l + 4*s, i*l - 9 + 23 = -4*s for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (w*w**(-3/5)*w**(3/8))/((w/((w*w*w*w/(w/w**(1/4)))/w))/w*w)**(2/15) assuming w is positive.\n' | b'w**(113/120)\n' | b'Simplify (w*w**(-3/5)*w**(3/8))/((w/((w*w*w*w/(w/w**(1/4)))/w))/w*w)**(2/15) assuming w is positive.\n' | b'w**(113/120)\n' | deepmind/math_dataset |
b'Calculate prob of sequence hh when two letters picked without replacement from {h: 4, y: 1, r: 3}.\n' | b'3/14\n' | b'Calculate prob of sequence hh when two letters picked without replacement from {h: 4, y: 1, r: 3}.\n' | b'3/14\n' | deepmind/math_dataset |
b'Simplify ((((v*v/(v*v**(1/4)))/v*v**(2/7))/(v**(-2/3))**(2/9))**26)**(-1/5) assuming v is positive.\n' | b'v**(-1807/1890)\n' | b'Simplify ((((v*v/(v*v**(1/4)))/v*v**(2/7))/(v**(-2/3))**(2/9))**26)**(-1/5) assuming v is positive.\n' | b'v**(-1807/1890)\n' | deepmind/math_dataset |
b'Let z(g) = -g**3 - 6*g**2 + 56*g + 1. Let h be z(-12). Differentiate -55 - h*v + 39 - 117 - 44 - 2 with respect to v.\n' | b'-193\n' | b'Let z(g) = -g**3 - 6*g**2 + 56*g + 1. Let h be z(-12). Differentiate -55 - h*v + 39 - 117 - 44 - 2 with respect to v.\n' | b'-193\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nznnznnnnnnznnnnnnnn. Give prob of picking 2 n.\n' | b'68/95\n' | b'Two letters picked without replacement from nznnznnnnnnznnnnnnnn. Give prob of picking 2 n.\n' | b'68/95\n' | deepmind/math_dataset |
b'Suppose -19*y + 87 = 11. Solve -5*a - 4*r = 0, -y*a + 6*a = -2*r for a.\n' | b'0\n' | b'Suppose -19*y + 87 = 11. Solve -5*a - 4*r = 0, -y*a + 6*a = -2*r for a.\n' | b'0\n' | deepmind/math_dataset |
b'Let b(t) = -t + 1. Let p be ((-3)/5)/((-9)/(-45)). Let u be p*(-20)/(-12) - -9. Calculate b(u).\n' | b'-3\n' | b'Let b(t) = -t + 1. Let p be ((-3)/5)/((-9)/(-45)). Let u be p*(-20)/(-12) - -9. Calculate b(u).\n' | b'-3\n' | deepmind/math_dataset |
b'Let n(k) = -k. Let s(g) be the first derivative of -9*g**5/5 - 22*g**3/3 + 3*g**2 + 14. Let t(p) = -6*n(p) - s(p). Find the third derivative of t(c) wrt c.\n' | b'216*c\n' | b'Let n(k) = -k. Let s(g) be the first derivative of -9*g**5/5 - 22*g**3/3 + 3*g**2 + 14. Let t(p) = -6*n(p) - s(p). Find the third derivative of t(c) wrt c.\n' | b'216*c\n' | deepmind/math_dataset |
b'Let u(t) be the third derivative of t**4/8 - 4*t**3/3 - 6*t**2. Give u(6).\n' | b'10\n' | b'Let u(t) be the third derivative of t**4/8 - 4*t**3/3 - 6*t**2. Give u(6).\n' | b'10\n' | deepmind/math_dataset |
b'What is the derivative of 4 - 85*t**4 - 37 - 16 + 119*t**4 + 217*t**4 wrt t?\n' | b'1004*t**3\n' | b'What is the derivative of 4 - 85*t**4 - 37 - 16 + 119*t**4 + 217*t**4 wrt t?\n' | b'1004*t**3\n' | deepmind/math_dataset |
b'Let h be 70/140*(-2)/(-1). Solve -v - h = q, 0 = -3*v - 4*q + 5 - 7 for v.\n' | b'-2\n' | b'Let h be 70/140*(-2)/(-1). Solve -v - h = q, 0 = -3*v - 4*q + 5 - 7 for v.\n' | b'-2\n' | deepmind/math_dataset |
b'Let t be -1 + 0 - (8 - 10). Let f be (t + 0)/((-3)/2 + 2). Solve -6 = -3*m - 4*n + 8, 5*n = f*m + 6 for m.\n' | b'2\n' | b'Let t be -1 + 0 - (8 - 10). Let f be (t + 0)/((-3)/2 + 2). Solve -6 = -3*m - 4*n + 8, 5*n = f*m + 6 for m.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence lp when two letters picked without replacement from ooldlpllloodp?\n' | b'5/78\n' | b'What is prob of sequence lp when two letters picked without replacement from ooldlpllloodp?\n' | b'5/78\n' | deepmind/math_dataset |
b'Suppose 3*n = a + 26, -8*n + 9*n + 2*a = 4. Suppose -n*z + 139 - 27 = 0. Solve -z = -3*w - 5, 0 = 3*i - w + 18 for i.\n' | b'-5\n' | b'Suppose 3*n = a + 26, -8*n + 9*n + 2*a = 4. Suppose -n*z + 139 - 27 = 0. Solve -z = -3*w - 5, 0 = 3*i - w + 18 for i.\n' | b'-5\n' | deepmind/math_dataset |
b'Let n = -14 - -24. Let j be 8*2 - 10/((-10)/3). Find the second derivative of -n*r + 19*r**5 + 28*r - j*r wrt r.\n' | b'380*r**3\n' | b'Let n = -14 - -24. Let j be 8*2 - 10/((-10)/3). Find the second derivative of -n*r + 19*r**5 + 28*r - j*r wrt r.\n' | b'380*r**3\n' | deepmind/math_dataset |
b'Let d be (-2)/5*15/(-6). Solve -d = 4*u - 5*r + 2, -3*r = 2*u - 15 for u.\n' | b'3\n' | b'Let d be (-2)/5*15/(-6). Solve -d = 4*u - 5*r + 2, -3*r = 2*u - 15 for u.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence yss when three letters picked without replacement from sssssssysssssssssys.\n' | b'16/171\n' | b'Calculate prob of sequence yss when three letters picked without replacement from sssssssysssssssssys.\n' | b'16/171\n' | deepmind/math_dataset |
b'Simplify ((o/(o*o*(o*o/o**8)/o*o))/o)/o**3*o**(2/11)/((o**(-5/3)*o)/o) assuming o is positive.\n' | b'o**(94/33)\n' | b'Simplify ((o/(o*o*(o*o/o**8)/o*o))/o)/o**3*o**(2/11)/((o**(-5/3)*o)/o) assuming o is positive.\n' | b'o**(94/33)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 1, v: 2, p: 1, j: 1, l: 2}. Give prob of sequence zj.\n' | b'1/42\n' | b'Two letters picked without replacement from {z: 1, v: 2, p: 1, j: 1, l: 2}. Give prob of sequence zj.\n' | b'1/42\n' | deepmind/math_dataset |
b'Suppose -217*j - 45 = -232*j. Solve -17*f - 5*a = -22*f, -5*f = -j*a - 4 for f.\n' | b'2\n' | b'Suppose -217*j - 45 = -232*j. Solve -17*f - 5*a = -22*f, -5*f = -j*a - 4 for f.\n' | b'2\n' | deepmind/math_dataset |
b'Let s(o) = 4*o + 2. Let p(v) = -8*v - 3. Let z(a) = 3*p(a) + 5*s(a). Calculate z(1).\n' | b'-3\n' | b'Let s(o) = 4*o + 2. Let p(v) = -8*v - 3. Let z(a) = 3*p(a) + 5*s(a). Calculate z(1).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((w**(-6)/((w**(-6/7)*w)/w))/(w/((w*w**(3/5))/w))**30)**(-2/33) assuming w is positive.\n' | b'w**(80/77)\n' | b'Simplify ((w**(-6)/((w**(-6/7)*w)/w))/(w/((w*w**(3/5))/w))**30)**(-2/33) assuming w is positive.\n' | b'w**(80/77)\n' | deepmind/math_dataset |
b'What is prob of picking 2 d and 2 p when four letters picked without replacement from pzppdzpddzp?\n' | b'1/11\n' | b'What is prob of picking 2 d and 2 p when four letters picked without replacement from pzppdzpddzp?\n' | b'1/11\n' | deepmind/math_dataset |
b'Let w(s) = 1487*s**4 + 6*s**2 - 229*s. Let r(u) = -1487*u**4 - 4*u**2 + 230*u. Let d(a) = 3*r(a) + 2*w(a). Find the second derivative of d(g) wrt g.\n' | b'-17844*g**2\n' | b'Let w(s) = 1487*s**4 + 6*s**2 - 229*s. Let r(u) = -1487*u**4 - 4*u**2 + 230*u. Let d(a) = 3*r(a) + 2*w(a). Find the second derivative of d(g) wrt g.\n' | b'-17844*g**2\n' | deepmind/math_dataset |
b'Suppose -2*s - 8 - 8 = -2*j, 0 = 5*j + s - 64. Solve -j = 4*k + 4*m, 2*k + k = -m - 9 for k.\n' | b'-3\n' | b'Suppose -2*s - 8 - 8 = -2*j, 0 = 5*j + s - 64. Solve -j = 4*k + 4*m, 2*k + k = -m - 9 for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -2*v = -5*k + 1 - 51, k + 79 = 5*v. Let o = 19 - v. Solve t - n = -10, 3*t = o*t + 5*n - 20 for t.\n' | b'-5\n' | b'Suppose -2*v = -5*k + 1 - 51, k + 79 = 5*v. Let o = 19 - v. Solve t - n = -10, 3*t = o*t + 5*n - 20 for t.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 3, d: 2, k: 7}. Give prob of picking 3 k.\n' | b'7/44\n' | b'Three letters picked without replacement from {m: 3, d: 2, k: 7}. Give prob of picking 3 k.\n' | b'7/44\n' | deepmind/math_dataset |
b'Suppose -99 = -9*d + 21 + 150. Solve -2 = -t + s, -4*t - t = 5*s + d for t.\n' | b'-2\n' | b'Suppose -99 = -9*d + 21 + 150. Solve -2 = -t + s, -4*t - t = 5*s + d for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Let r(u) = -2*u**3 + u. Let j = -19 + 24. Let l be 5/(j/(-4)) + 4. Let x be r(l). Let g(o) = o**3 - o - 3. What is g(x)?\n' | b'-3\n' | b'Let r(u) = -2*u**3 + u. Let j = -19 + 24. Let l be 5/(j/(-4)) + 4. Let x be r(l). Let g(o) = o**3 - o - 3. What is g(x)?\n' | b'-3\n' | deepmind/math_dataset |
b'Let w = 1614 + -1612. Let c be 2/(-9) - 114/(-27). Solve w*q = 4*p + 8 - 30, 3*q + 27 = c*p for q.\n' | b'-5\n' | b'Let w = 1614 + -1612. Let c be 2/(-9) - 114/(-27). Solve w*q = 4*p + 8 - 30, 3*q + 27 = c*p for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Let u(o) be the first derivative of -1/6*o**6 + 0*o + 0*o**4 + 0*o**5 - 13/2*o**2 + 0*o**3 + 12. What is the second derivative of u(r) wrt r?\n' | b'-20*r**3\n' | b'Let u(o) be the first derivative of -1/6*o**6 + 0*o + 0*o**4 + 0*o**5 - 13/2*o**2 + 0*o**3 + 12. What is the second derivative of u(r) wrt r?\n' | b'-20*r**3\n' | deepmind/math_dataset |
b'Let l(q) be the first derivative of -q**6/120 - q**5/10 - 5*q**4/24 - 21*q**2/2 - 74. Let f(v) be the second derivative of l(v). Determine f(-4).\n' | b'-12\n' | b'Let l(q) be the first derivative of -q**6/120 - q**5/10 - 5*q**4/24 - 21*q**2/2 - 74. Let f(v) be the second derivative of l(v). Determine f(-4).\n' | b'-12\n' | deepmind/math_dataset |
b'Suppose 89*l = 66*l. Solve n - 5*t + l*t = -3, -n - 4*t + 6 = 0 for n.\n' | b'2\n' | b'Suppose 89*l = 66*l. Solve n - 5*t + l*t = -3, -n - 4*t + 6 = 0 for n.\n' | b'2\n' | deepmind/math_dataset |
b'Let s be 3 + -4 - 3 - -3 - -5. Let i(d) be the second derivative of 0*d**5 + 0*d**3 - 1/30*d**6 - d**2 - d + 0 + 0*d**s. Differentiate i(l) wrt l.\n' | b'-4*l**3\n' | b'Let s be 3 + -4 - 3 - -3 - -5. Let i(d) be the second derivative of 0*d**5 + 0*d**3 - 1/30*d**6 - d**2 - d + 0 + 0*d**s. Differentiate i(l) wrt l.\n' | b'-4*l**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 1, r: 1, f: 1, w: 1, b: 4}. What is prob of picking 1 n, 1 w, and 1 r?\n' | b'1/56\n' | b'Three letters picked without replacement from {n: 1, r: 1, f: 1, w: 1, b: 4}. What is prob of picking 1 n, 1 w, and 1 r?\n' | b'1/56\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 h when three letters picked without replacement from {h: 4, x: 6, e: 2, m: 3}.\n' | b'4/455\n' | b'Calculate prob of picking 3 h when three letters picked without replacement from {h: 4, x: 6, e: 2, m: 3}.\n' | b'4/455\n' | deepmind/math_dataset |
b'Suppose -5*p = -3*l, -7*l + 28 = p - 2*l. Let o(a) be the second derivative of 0 + 2*a**2 + 2/3*a**p - a. Find the first derivative of o(q) wrt q.\n' | b'4\n' | b'Suppose -5*p = -3*l, -7*l + 28 = p - 2*l. Let o(a) be the second derivative of 0 + 2*a**2 + 2/3*a**p - a. Find the first derivative of o(q) wrt q.\n' | b'4\n' | deepmind/math_dataset |
b'Let l = -200 - -228. Solve 0 = -4*t - l + 8, t = -4*y + 3 for y.\n' | b'2\n' | b'Let l = -200 - -228. Solve 0 = -4*t - l + 8, t = -4*y + 3 for y.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 v when four letters picked without replacement from qvvqvqqvvv.\n' | b'1/14\n' | b'Calculate prob of picking 4 v when four letters picked without replacement from qvvqvqqvvv.\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify (((((h**1/h)/h)/h)/(h/((h**14/h)/h)))/(((h*h/(h*h*((h*h*(h**1/h*h)/h*h*h)/h)/h*h))/h)/(h*h/h**(-5/2)*h)))**(15/7) assuming h is positive.\n' | b'h**(555/14)\n' | b'Simplify (((((h**1/h)/h)/h)/(h/((h**14/h)/h)))/(((h*h/(h*h*((h*h*(h**1/h*h)/h*h*h)/h)/h*h))/h)/(h*h/h**(-5/2)*h)))**(15/7) assuming h is positive.\n' | b'h**(555/14)\n' | deepmind/math_dataset |
b'Suppose 110*l - 299 = 471. Let j(c) = c + 8. Let z be j(-4). Let u = -48 + 50. Solve 2*i + l = p, -u*p - z = p - i for p.\n' | b'-3\n' | b'Suppose 110*l - 299 = 471. Let j(c) = c + 8. Let z be j(-4). Let u = -48 + 50. Solve 2*i + l = p, -u*p - z = p - i for p.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((k*k*k/k**(-10)*k**10*k)/(k*k/k**(2/7)*k)**(11/7))**47 assuming k is positive.\n' | b'k**(45449/49)\n' | b'Simplify ((k*k*k/k**(-10)*k**10*k)/(k*k/k**(2/7)*k)**(11/7))**47 assuming k is positive.\n' | b'k**(45449/49)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xyyyyukkyyaa. Give prob of sequence ku.\n' | b'1/66\n' | b'Two letters picked without replacement from xyyyyukkyyaa. Give prob of sequence ku.\n' | b'1/66\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hhhzhhzhhhhhhzzhzhhh. Give prob of sequence hhz.\n' | b'35/228\n' | b'Three letters picked without replacement from hhhzhhzhhhhhhzzhzhhh. Give prob of sequence hhz.\n' | b'35/228\n' | deepmind/math_dataset |
b'Let t(v) = 25*v**3 - 2*v - 1. Let n be t(-1). Let d = n + 29. What is the third derivative of -c + 0*c + c**4 + c - d*c**2 wrt c?\n' | b'24*c\n' | b'Let t(v) = 25*v**3 - 2*v - 1. Let n be t(-1). Let d = n + 29. What is the third derivative of -c + 0*c + c**4 + c - d*c**2 wrt c?\n' | b'24*c\n' | deepmind/math_dataset |
b'Let h(l) = -20*l + 17. Let f(t) = -t + 1. Suppose -2*s + 7*s + 5 = 0. Let i(v) = s*h(v) + 5*f(v). Find the first derivative of i(b) wrt b.\n' | b'15\n' | b'Let h(l) = -20*l + 17. Let f(t) = -t + 1. Suppose -2*s + 7*s + 5 = 0. Let i(v) = s*h(v) + 5*f(v). Find the first derivative of i(b) wrt b.\n' | b'15\n' | deepmind/math_dataset |
b'What is prob of sequence qqf when three letters picked without replacement from qwqwqfqfqqq?\n' | b'14/165\n' | b'What is prob of sequence qqf when three letters picked without replacement from qwqwqfqfqqq?\n' | b'14/165\n' | deepmind/math_dataset |
b'Suppose -3*x = 4*j - 8*x - 10, 0 = j - x - 2. Suppose j = 3*i - 3*s + 1 - 25, 4*s = -16. Solve -4*l = -12, 0 = -3*h - 7*l + i*l + 18 for h.\n' | b'3\n' | b'Suppose -3*x = 4*j - 8*x - 10, 0 = j - x - 2. Suppose j = 3*i - 3*s + 1 - 25, 4*s = -16. Solve -4*l = -12, 0 = -3*h - 7*l + i*l + 18 for h.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 1, y: 1, z: 2, d: 1, b: 2, v: 2}. What is prob of picking 1 v and 1 z?\n' | b'1/9\n' | b'Two letters picked without replacement from {t: 1, y: 1, z: 2, d: 1, b: 2, v: 2}. What is prob of picking 1 v and 1 z?\n' | b'1/9\n' | deepmind/math_dataset |
b'Let d(j) be the second derivative of 183*j**5/20 + 31*j**3/2 + 35*j + 2. What is the second derivative of d(o) wrt o?\n' | b'1098*o\n' | b'Let d(j) be the second derivative of 183*j**5/20 + 31*j**3/2 + 35*j + 2. What is the second derivative of d(o) wrt o?\n' | b'1098*o\n' | deepmind/math_dataset |
b'Let t(a) be the third derivative of -5*a**2 + 1/24*a**4 + 0*a + 0 + 0*a**3 + 19/60*a**5. Let b be (-2 + -1)*64/(-192). What is t(b)?\n' | b'20\n' | b'Let t(a) be the third derivative of -5*a**2 + 1/24*a**4 + 0*a + 0 + 0*a**3 + 19/60*a**5. Let b be (-2 + -1)*64/(-192). What is t(b)?\n' | b'20\n' | deepmind/math_dataset |
b'Let m = -13 - -17. What is the first derivative of -2 - 7*w**m + 1 - 6 + 0 wrt w?\n' | b'-28*w**3\n' | b'Let m = -13 - -17. What is the first derivative of -2 - 7*w**m + 1 - 6 + 0 wrt w?\n' | b'-28*w**3\n' | deepmind/math_dataset |
b'Let v(y) = -y + 4. Let u = 43 + -37. Suppose 0 = -4*p - 3*q + 47, 58 = 4*p + 4*q + u. What is v(p)?\n' | b'-4\n' | b'Let v(y) = -y + 4. Let u = 43 + -37. Suppose 0 = -4*p - 3*q + 47, 58 = 4*p + 4*q + u. What is v(p)?\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 z when four letters picked without replacement from zddzzwzzzz.\n' | b'1/6\n' | b'Calculate prob of picking 4 z when four letters picked without replacement from zddzzwzzzz.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let h(k) = 48*k**2 + k - 39. Let y(c) = 72*c**2 + 2*c - 59. Let t(m) = -8*h(m) + 5*y(m). Differentiate t(a) with respect to a.\n' | b'-48*a + 2\n' | b'Let h(k) = 48*k**2 + k - 39. Let y(c) = 72*c**2 + 2*c - 59. Let t(m) = -8*h(m) + 5*y(m). Differentiate t(a) with respect to a.\n' | b'-48*a + 2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 3, v: 2, j: 1, o: 2, w: 4}. What is prob of sequence whoh?\n' | b'2/495\n' | b'Four letters picked without replacement from {h: 3, v: 2, j: 1, o: 2, w: 4}. What is prob of sequence whoh?\n' | b'2/495\n' | deepmind/math_dataset |
b'Let i(x) = 22*x - 3. Let z(t) = -43*t + 5. Let n(r) = 11*i(r) + 6*z(r). What is the derivative of n(p) wrt p?\n' | b'-16\n' | b'Let i(x) = 22*x - 3. Let z(t) = -43*t + 5. Let n(r) = 11*i(r) + 6*z(r). What is the derivative of n(p) wrt p?\n' | b'-16\n' | deepmind/math_dataset |
b'Let l(r) = -132*r. Let p(a) = -19*a. Let v(n) = -3*l(n) + 22*p(n). Let y(m) = -15*m. Let u(f) = -5*v(f) + 7*y(f). Determine u(-3).\n' | b'-15\n' | b'Let l(r) = -132*r. Let p(a) = -19*a. Let v(n) = -3*l(n) + 22*p(n). Let y(m) = -15*m. Let u(f) = -5*v(f) + 7*y(f). Determine u(-3).\n' | b'-15\n' | deepmind/math_dataset |
b'Suppose -d - 2 + 9 = -5*n, -5*d + 3*n - 31 = 0. Let z be (5/(-10) - (-2)/(-4))*-9. Let t(f) = -3 - 65*f + 66*f + z. Give t(d).\n' | b'-2\n' | b'Suppose -d - 2 + 9 = -5*n, -5*d + 3*n - 31 = 0. Let z be (5/(-10) - (-2)/(-4))*-9. Let t(f) = -3 - 65*f + 66*f + z. Give t(d).\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0*o - 6*o + 12 = 0. Let p(u) be the third derivative of -1/20*u**5 + 0*u + 0 - 1/6*u**4 + 2*u**o - 1/2*u**3. Calculate p(-2).\n' | b'-7\n' | b'Suppose 0*o - 6*o + 12 = 0. Let p(u) be the third derivative of -1/20*u**5 + 0*u + 0 - 1/6*u**4 + 2*u**o - 1/2*u**3. Calculate p(-2).\n' | b'-7\n' | deepmind/math_dataset |
b'Let f(q) = -3*q**3 + q**2 + 2*q + 1. Suppose 3*o - 24 = o. Let j be o/(-10) + (-3)/(-15). Determine f(j).\n' | b'3\n' | b'Let f(q) = -3*q**3 + q**2 + 2*q + 1. Suppose 3*o - 24 = o. Let j be o/(-10) + (-3)/(-15). Determine f(j).\n' | b'3\n' | deepmind/math_dataset |
b'Let q(r) = r**3 - 109*r**2 - 116*r + 653. Let x be q(110). Let l(z) = -64*z + 131*z + 21 - 65*z. Calculate l(x).\n' | b'7\n' | b'Let q(r) = r**3 - 109*r**2 - 116*r + 653. Let x be q(110). Let l(z) = -64*z + 131*z + 21 - 65*z. Calculate l(x).\n' | b'7\n' | deepmind/math_dataset |
b'Let s = 20 - 22. Let z be -2 + s + (3 - -3). Solve 3*o + 2 = 4*g, 5*o + z = 4*g - 4 for g.\n' | b'-1\n' | b'Let s = 20 - 22. Let z be -2 + s + (3 - -3). Solve 3*o + 2 = 4*g, 5*o + z = 4*g - 4 for g.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ddiidcdczicdpiizdz. What is prob of picking 1 c, 1 i, 1 z, and 1 p?\n' | b'1/68\n' | b'Four letters picked without replacement from ddiidcdczicdpiizdz. What is prob of picking 1 c, 1 i, 1 z, and 1 p?\n' | b'1/68\n' | deepmind/math_dataset |
b'Let v = 0 - -5. Suppose -4*i + 9 = -v*h + 35, -5*i + 2*h - 41 = 0. Let y be -1 - (-5)/(15/i). Let a(d) = -d**2 - 3*d + 4. What is a(y)?\n' | b'0\n' | b'Let v = 0 - -5. Suppose -4*i + 9 = -v*h + 35, -5*i + 2*h - 41 = 0. Let y be -1 - (-5)/(15/i). Let a(d) = -d**2 - 3*d + 4. What is a(y)?\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r, 1 j, and 1 f when three letters picked without replacement from {j: 6, f: 7, r: 1}.\n' | b'3/26\n' | b'Calculate prob of picking 1 r, 1 j, and 1 f when three letters picked without replacement from {j: 6, f: 7, r: 1}.\n' | b'3/26\n' | deepmind/math_dataset |
b'Let w be (22/20)/((-141)/(-4230)). Solve 17*v - 19*v = -5*d - w, 25 = -5*d for v.\n' | b'4\n' | b'Let w be (22/20)/((-141)/(-4230)). Solve 17*v - 19*v = -5*d - w, 25 = -5*d for v.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -o - 101 = -4*h, -2*o + 146 = 5*h + 36. Suppose -5*w = -w - h. Find the third derivative of -k**6 + 0*k**6 - k**w - 3*k**2 wrt k.\n' | b'-240*k**3\n' | b'Suppose -o - 101 = -4*h, -2*o + 146 = 5*h + 36. Suppose -5*w = -w - h. Find the third derivative of -k**6 + 0*k**6 - k**w - 3*k**2 wrt k.\n' | b'-240*k**3\n' | deepmind/math_dataset |
b'Let k be 1*10/12*246/41. Let z(l) = -l**2 + 4. Let c(q) = q**2 - q. Let i(h) = 2*c(h) + z(h). What is i(k)?\n' | b'19\n' | b'Let k be 1*10/12*246/41. Let z(l) = -l**2 + 4. Let c(q) = q**2 - q. Let i(h) = 2*c(h) + z(h). What is i(k)?\n' | b'19\n' | deepmind/math_dataset |
b'What is prob of sequence ex when two letters picked without replacement from {e: 8, x: 1, w: 4}?\n' | b'2/39\n' | b'What is prob of sequence ex when two letters picked without replacement from {e: 8, x: 1, w: 4}?\n' | b'2/39\n' | deepmind/math_dataset |
b'Let k(r) be the third derivative of 11*r**7/210 + 7*r**5/30 + 12*r**2. Find the third derivative of k(j) wrt j.\n' | b'264*j\n' | b'Let k(r) be the third derivative of 11*r**7/210 + 7*r**5/30 + 12*r**2. Find the third derivative of k(j) wrt j.\n' | b'264*j\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e and 2 i when three letters picked without replacement from eeiii.\n' | b'3/5\n' | b'Calculate prob of picking 1 e and 2 i when three letters picked without replacement from eeiii.\n' | b'3/5\n' | deepmind/math_dataset |
b'Simplify (b/(b**2/b))**(12/13)*(b/(b/((b**7*b)/b*b)))/b**3 assuming b is positive.\n' | b'b**5\n' | b'Simplify (b/(b**2/b))**(12/13)*(b/(b/((b**7*b)/b*b)))/b**3 assuming b is positive.\n' | b'b**5\n' | deepmind/math_dataset |
b'Simplify i**(-7)*i*i/i**2*(i**(1/2)*i)/(i*i*i*i**5) assuming i is positive.\n' | b'i**(-27/2)\n' | b'Simplify i**(-7)*i*i/i**2*(i**(1/2)*i)/(i*i*i*i**5) assuming i is positive.\n' | b'i**(-27/2)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 4, c: 1, r: 2}. What is prob of picking 1 r and 1 c?\n' | b'2/21\n' | b'Two letters picked without replacement from {y: 4, c: 1, r: 2}. What is prob of picking 1 r and 1 c?\n' | b'2/21\n' | deepmind/math_dataset |
b'Let w(z) = z. Let r be w(2). Suppose -j + 6 = -3*j, r*g - 2*j = 6. Solve g = -4*h - 4*b - 8 - 4, -3 = 3*b for h.\n' | b'-2\n' | b'Let w(z) = z. Let r be w(2). Suppose -j + 6 = -3*j, r*g - 2*j = 6. Solve g = -4*h - 4*b - 8 - 4, -3 = 3*b for h.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence fhsu when four letters picked without replacement from hhsoufoolohs?\n' | b'1/1980\n' | b'What is prob of sequence fhsu when four letters picked without replacement from hhsoufoolohs?\n' | b'1/1980\n' | deepmind/math_dataset |
b'Simplify (i**(-18)/i**(3/7)*i**(-22)/i**(16/5))**(4/3) assuming i is positive.\n' | b'i**(-2036/35)\n' | b'Simplify (i**(-18)/i**(3/7)*i**(-22)/i**(16/5))**(4/3) assuming i is positive.\n' | b'i**(-2036/35)\n' | deepmind/math_dataset |
b'Let k be 2/(-4)*(-12 - 62). Suppose -2*q + 7 = -k. Solve -6 = -2*t + x, -4*x - x = 3*t - q for t.\n' | b'4\n' | b'Let k be 2/(-4)*(-12 - 62). Suppose -2*q + 7 = -k. Solve -6 = -2*t + x, -4*x - x = 3*t - q for t.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (g*(g/(g*g**(-1)*g))/g)**(-13/3)*(g**6/g*g)/g*g*g**(-1/2) assuming g is positive.\n' | b'g**(11/2)\n' | b'Simplify (g*(g/(g*g**(-1)*g))/g)**(-13/3)*(g**6/g*g)/g*g*g**(-1/2) assuming g is positive.\n' | b'g**(11/2)\n' | deepmind/math_dataset |
b'What is prob of picking 1 v and 1 b when two letters picked without replacement from {q: 1, i: 2, s: 5, b: 2, j: 2, v: 1}?\n' | b'1/39\n' | b'What is prob of picking 1 v and 1 b when two letters picked without replacement from {q: 1, i: 2, s: 5, b: 2, j: 2, v: 1}?\n' | b'1/39\n' | deepmind/math_dataset |
b'Simplify ((y*(y*(y/(y/y**(1/5))*y)/y*y)/y)/y**(-1/8))/(y**9/(y/(y/y**(-2))*y*y)) assuming y is positive.\n' | b'y**(-267/40)\n' | b'Simplify ((y*(y*(y/(y/y**(1/5))*y)/y*y)/y)/y**(-1/8))/(y**9/(y/(y/y**(-2))*y*y)) assuming y is positive.\n' | b'y**(-267/40)\n' | deepmind/math_dataset |
b'Let k = 219 + -338. Let l = k + 170. Let d = -25 - -44. Solve -y + 7 = -3*x, 3*x + 4*y = d - l for x.\n' | b'-4\n' | b'Let k = 219 + -338. Let l = k + 170. Let d = -25 - -44. Solve -y + 7 = -3*x, 3*x + 4*y = d - l for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (c/(c*c**(-9))*c*c**3*(c**0)**7)**(25/6) assuming c is positive.\n' | b'c**(325/6)\n' | b'Simplify (c/(c*c**(-9))*c*c**3*(c**0)**7)**(25/6) assuming c is positive.\n' | b'c**(325/6)\n' | deepmind/math_dataset |
b'Suppose -9 = i - 4*z, -2*z - z = 3*i - 33. Let c(h) = h**2 - 6*h - 3. Let a be c(i). Find the third derivative of 0 + 4 - a - 4*u**5 - 4*u**2 wrt u.\n' | b'-240*u**2\n' | b'Suppose -9 = i - 4*z, -2*z - z = 3*i - 33. Let c(h) = h**2 - 6*h - 3. Let a be c(i). Find the third derivative of 0 + 4 - a - 4*u**5 - 4*u**2 wrt u.\n' | b'-240*u**2\n' | deepmind/math_dataset |
b'Let r = -268 + 282. Let j = 11 - 6. Solve 2*l + 3*c = l + r, j*l = -c for l.\n' | b'-1\n' | b'Let r = -268 + 282. Let j = 11 - 6. Solve 2*l + 3*c = l + r, j*l = -c for l.\n' | b'-1\n' | deepmind/math_dataset |
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