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 j be (((-4)/(-10))/1)/((-4)/(-10)). Let a be j/(132/120 + 3/(-5)). Solve -a*h + 2 = -w, -h = -3 + 1 for w.\n' | b'2\n' | b'Let j be (((-4)/(-10))/1)/((-4)/(-10)). Let a be j/(132/120 + 3/(-5)). Solve -a*h + 2 = -w, -h = -3 + 1 for w.\n' | b'2\n' | deepmind/math_dataset |
b'Let j(b) = b**2 + 4*b. Suppose -6*p + 5*p = 2. Let y(q) = q**2 + q. Let m(h) = p*y(h) + j(h). What is the second derivative of m(d) wrt d?\n' | b'-2\n' | b'Let j(b) = b**2 + 4*b. Suppose -6*p + 5*p = 2. Let y(q) = q**2 + q. Let m(h) = p*y(h) + j(h). What is the second derivative of m(d) wrt d?\n' | b'-2\n' | deepmind/math_dataset |
b'Let w(l) = -l**2 - 6*l + 3. Let g(x) = 2*x**2 + 13*x - 7. Let i(j) = 4*g(j) + 9*w(j). Let k be i(-1). Solve -4*a + 4*b - 12 = k, 3*a - 5*b = a - 9 for a.\n' | b'-2\n' | b'Let w(l) = -l**2 - 6*l + 3. Let g(x) = 2*x**2 + 13*x - 7. Let i(j) = 4*g(j) + 9*w(j). Let k be i(-1). Solve -4*a + 4*b - 12 = k, 3*a - 5*b = a - 9 for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Let x be (0 - 0)*16/(-48). Suppose 3*m = -0*m + 9. Solve -i + z = i - 9, -m*z - 3 = x for i.\n' | b'4\n' | b'Let x be (0 - 0)*16/(-48). Suppose 3*m = -0*m + 9. Solve -i + z = i - 9, -m*z - 3 = x for i.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -2*b + 5*w = 33, 4*b + 4*w - 5 = -1. Let m be (6/9)/(b/12) + 7. Solve -p + 5 = j - 2*p, j - m = 3*p for j.\n' | b'5\n' | b'Suppose -2*b + 5*w = 33, 4*b + 4*w - 5 = -1. Let m be (6/9)/(b/12) + 7. Solve -p + 5 = j - 2*p, j - m = 3*p for j.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((p**(-1/6)*p**(-5))**(19/3))**19 assuming p is positive.\n' | b'p**(-11191/18)\n' | b'Simplify ((p**(-1/6)*p**(-5))**(19/3))**19 assuming p is positive.\n' | b'p**(-11191/18)\n' | deepmind/math_dataset |
b'What is prob of picking 1 b and 1 r when two letters picked without replacement from {o: 11, r: 7, b: 1}?\n' | b'7/171\n' | b'What is prob of picking 1 b and 1 r when two letters picked without replacement from {o: 11, r: 7, b: 1}?\n' | b'7/171\n' | deepmind/math_dataset |
b'Suppose -n + 12 = 4*y, 8 = 2*y - n + 2*n. Suppose -2 = 4*s + 2*b, 4*s - 2 - 1 = -b. Suppose -s*z = -5*z + 81. Solve 0*o - 3 = m - y*o, 5*m = -2*o - z for m.\n' | b'-5\n' | b'Suppose -n + 12 = 4*y, 8 = 2*y - n + 2*n. Suppose -2 = 4*s + 2*b, 4*s - 2 - 1 = -b. Suppose -s*z = -5*z + 81. Solve 0*o - 3 = m - y*o, 5*m = -2*o - z for m.\n' | b'-5\n' | deepmind/math_dataset |
b'Let p(n) = -4*n**2 - 2. Suppose 0*x - 1 = -l + x, 8 = -2*l + 4*x. Let b(i) = 4*i**2 + 1. Let g(z) = l*b(z) + 5*p(z). What is the first derivative of g(v) wrt v?\n' | b'8*v\n' | b'Let p(n) = -4*n**2 - 2. Suppose 0*x - 1 = -l + x, 8 = -2*l + 4*x. Let b(i) = 4*i**2 + 1. Let g(z) = l*b(z) + 5*p(z). What is the first derivative of g(v) wrt v?\n' | b'8*v\n' | deepmind/math_dataset |
b'What is prob of sequence pp when two letters picked without replacement from {x: 1, p: 2, q: 2, f: 8, n: 1}?\n' | b'1/91\n' | b'What is prob of sequence pp when two letters picked without replacement from {x: 1, p: 2, q: 2, f: 8, n: 1}?\n' | b'1/91\n' | deepmind/math_dataset |
b'Calculate prob of sequence zkv when three letters picked without replacement from {z: 1, l: 2, w: 1, k: 4, o: 1, v: 3}.\n' | b'1/110\n' | b'Calculate prob of sequence zkv when three letters picked without replacement from {z: 1, l: 2, w: 1, k: 4, o: 1, v: 3}.\n' | b'1/110\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mkqqhkq. What is prob of picking 2 q?\n' | b'1/7\n' | b'Two letters picked without replacement from mkqqhkq. What is prob of picking 2 q?\n' | b'1/7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 7, s: 2}. Give prob of sequence hhhs.\n' | b'5/36\n' | b'Four letters picked without replacement from {h: 7, s: 2}. Give prob of sequence hhhs.\n' | b'5/36\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y, 2 g, and 1 h when four letters picked without replacement from {k: 1, y: 1, d: 1, g: 2, v: 1, h: 2}.\n' | b'1/35\n' | b'Calculate prob of picking 1 y, 2 g, and 1 h when four letters picked without replacement from {k: 1, y: 1, d: 1, g: 2, v: 1, h: 2}.\n' | b'1/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 5}. Give prob of picking 2 v.\n' | b'1\n' | b'Two letters picked without replacement from {v: 5}. Give prob of picking 2 v.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence nnky when four letters picked without replacement from {h: 5, n: 3, y: 1, e: 1, k: 2}?\n' | b'1/990\n' | b'What is prob of sequence nnky when four letters picked without replacement from {h: 5, n: 3, y: 1, e: 1, k: 2}?\n' | b'1/990\n' | deepmind/math_dataset |
b'What is prob of picking 3 m when three letters picked without replacement from mwwhwmmwhmmmwmmmww?\n' | b'7/68\n' | b'What is prob of picking 3 m when three letters picked without replacement from mwwhwmmwhmmmwmmmww?\n' | b'7/68\n' | deepmind/math_dataset |
b'Let i be (3*2/3)/((-6)/(-27)). Let l(t) = t**2 - 7*t - 13. Give l(i).\n' | b'5\n' | b'Let i be (3*2/3)/((-6)/(-27)). Let l(t) = t**2 - 7*t - 13. Give l(i).\n' | b'5\n' | deepmind/math_dataset |
b'Let k(d) = 18*d + 85. Let y(b) = -20*b - 84. Let u(s) = 5*k(s) + 6*y(s). Differentiate u(j) wrt j.\n' | b'-30\n' | b'Let k(d) = 18*d + 85. Let y(b) = -20*b - 84. Let u(s) = 5*k(s) + 6*y(s). Differentiate u(j) wrt j.\n' | b'-30\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 1 j when two letters picked without replacement from kyjqky.\n' | b'2/15\n' | b'Calculate prob of picking 1 k and 1 j when two letters picked without replacement from kyjqky.\n' | b'2/15\n' | deepmind/math_dataset |
b'What is prob of picking 2 v when two letters picked without replacement from {v: 3, e: 2, r: 5, x: 2}?\n' | b'1/22\n' | b'What is prob of picking 2 v when two letters picked without replacement from {v: 3, e: 2, r: 5, x: 2}?\n' | b'1/22\n' | deepmind/math_dataset |
b'Suppose 0 = 12*t + t + 91. Let o be (3/4)/(t/(-112)). Differentiate -12 + 3 + o - 29*x**2 with respect to x.\n' | b'-58*x\n' | b'Suppose 0 = 12*t + t + 91. Let o be (3/4)/(t/(-112)). Differentiate -12 + 3 + o - 29*x**2 with respect to x.\n' | b'-58*x\n' | deepmind/math_dataset |
b'Let r(o) = -o - 9. Let q(g) = -3. Let a(k) = 7*q(k) - 2*r(k). Let z be a(4). Differentiate z*d**4 + 19*d - 5 + 2*d**4 - 19*d with respect to d.\n' | b'28*d**3\n' | b'Let r(o) = -o - 9. Let q(g) = -3. Let a(k) = 7*q(k) - 2*r(k). Let z be a(4). Differentiate z*d**4 + 19*d - 5 + 2*d**4 - 19*d with respect to d.\n' | b'28*d**3\n' | deepmind/math_dataset |
b'Suppose -6 = -2*f + 4. Solve 22 - 52 = f*q - 5*h, 5*q + 3*h - 2 = 0 for q.\n' | b'-2\n' | b'Suppose -6 = -2*f + 4. Solve 22 - 52 = f*q - 5*h, 5*q + 3*h - 2 = 0 for q.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((z*z/z**(-11))**(-8/7))**(1/11) assuming z is positive.\n' | b'z**(-104/77)\n' | b'Simplify ((z*z/z**(-11))**(-8/7))**(1/11) assuming z is positive.\n' | b'z**(-104/77)\n' | deepmind/math_dataset |
b'Let a(l) be the first derivative of 4*l**3 - 17 + 11/3*l**6 + 0*l + 0*l**4 + 0*l**2 + 0*l**5. What is the third derivative of a(p) wrt p?\n' | b'1320*p**2\n' | b'Let a(l) be the first derivative of 4*l**3 - 17 + 11/3*l**6 + 0*l + 0*l**4 + 0*l**2 + 0*l**5. What is the third derivative of a(p) wrt p?\n' | b'1320*p**2\n' | deepmind/math_dataset |
b'Let j(l) be the first derivative of 5*l**2 - 32*l - 2184. Calculate j(5).\n' | b'18\n' | b'Let j(l) be the first derivative of 5*l**2 - 32*l - 2184. Calculate j(5).\n' | b'18\n' | deepmind/math_dataset |
b'Let o(p) be the second derivative of 0*p**2 - 1/2*p**4 - 5/3*p**3 + 0 + 10*p. What is the second derivative of o(a) wrt a?\n' | b'-12\n' | b'Let o(p) be the second derivative of 0*p**2 - 1/2*p**4 - 5/3*p**3 + 0 + 10*p. What is the second derivative of o(a) wrt a?\n' | b'-12\n' | deepmind/math_dataset |
b'Suppose -5*l + 0*l - 15 = 0. Let c(a) = -7*a**2 - 6*a - 7. Let q(o) = o**2 + o + 1. Let d = 20 - 21. Let m(z) = d*c(z) - 5*q(z). What is m(l)?\n' | b'17\n' | b'Suppose -5*l + 0*l - 15 = 0. Let c(a) = -7*a**2 - 6*a - 7. Let q(o) = o**2 + o + 1. Let d = 20 - 21. Let m(z) = d*c(z) - 5*q(z). What is m(l)?\n' | b'17\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {e: 2, l: 4, m: 8}. What is prob of sequence lell?\n' | b'2/1001\n' | b'Four letters picked without replacement from {e: 2, l: 4, m: 8}. What is prob of sequence lell?\n' | b'2/1001\n' | deepmind/math_dataset |
b'What is prob of picking 2 m and 1 o when three letters picked without replacement from {o: 6, f: 7, e: 2, m: 2, t: 1}?\n' | b'1/136\n' | b'What is prob of picking 2 m and 1 o when three letters picked without replacement from {o: 6, f: 7, e: 2, m: 2, t: 1}?\n' | b'1/136\n' | deepmind/math_dataset |
b'Simplify (b*b**(-2/7)*b)**(2/93)*((b*b**(-1/5)*b)/b)**(2/11) assuming b is positive.\n' | b'b**(2176/11935)\n' | b'Simplify (b*b**(-2/7)*b)**(2/93)*((b*b**(-1/5)*b)/b)**(2/11) assuming b is positive.\n' | b'b**(2176/11935)\n' | deepmind/math_dataset |
b'Let h(k) = -k**3 + 5*k**2 - 2*k - 2. Let a be h(2). Let t(v) = -v**3 + 6*v**2 + v - 3. Let b be t(a). Solve 3*i = -4*y - 10, 0*y + 5 = -b*y - i for y.\n' | b'-1\n' | b'Let h(k) = -k**3 + 5*k**2 - 2*k - 2. Let a be h(2). Let t(v) = -v**3 + 6*v**2 + v - 3. Let b be t(a). Solve 3*i = -4*y - 10, 0*y + 5 = -b*y - i for y.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ilvlvizlwzizdliziili. What is prob of picking 1 v, 1 l, 1 w, and 1 z?\n' | b'8/969\n' | b'Four letters picked without replacement from ilvlvizlwzizdliziili. What is prob of picking 1 v, 1 l, 1 w, and 1 z?\n' | b'8/969\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zoxdotxoozpddzdooz. What is prob of sequence px?\n' | b'1/153\n' | b'Two letters picked without replacement from zoxdotxoozpddzdooz. What is prob of sequence px?\n' | b'1/153\n' | deepmind/math_dataset |
b'Let h(t) = -t + 7. Let c = -15 - -18. What is h(c)?\n' | b'4\n' | b'Let h(t) = -t + 7. Let c = -15 - -18. What is h(c)?\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f and 2 z when three letters picked without replacement from zlllzzldzllflzz.\n' | b'3/91\n' | b'Calculate prob of picking 1 f and 2 z when three letters picked without replacement from zlllzzldzllflzz.\n' | b'3/91\n' | deepmind/math_dataset |
b'Let r be -3*(420/18)/(-5). Let o = -5 - -7. What is the first derivative of -r*p**o + 716*p + 21 - 9*p**2 - 716*p wrt p?\n' | b'-46*p\n' | b'Let r be -3*(420/18)/(-5). Let o = -5 - -7. What is the first derivative of -r*p**o + 716*p + 21 - 9*p**2 - 716*p wrt p?\n' | b'-46*p\n' | deepmind/math_dataset |
b'Simplify (r**(-21)/r*r**(-4/11)*r)**(-3/7) assuming r is positive.\n' | b'r**(705/77)\n' | b'Simplify (r**(-21)/r*r**(-4/11)*r)**(-3/7) assuming r is positive.\n' | b'r**(705/77)\n' | deepmind/math_dataset |
b'Let f(h) be the first derivative of 0*h**5 + 0*h**4 - 12 - 5/2*h**2 + 0*h + 0*h**3 - 17/6*h**6. Find the second derivative of f(d) wrt d.\n' | b'-340*d**3\n' | b'Let f(h) be the first derivative of 0*h**5 + 0*h**4 - 12 - 5/2*h**2 + 0*h + 0*h**3 - 17/6*h**6. Find the second derivative of f(d) wrt d.\n' | b'-340*d**3\n' | deepmind/math_dataset |
b'Let r = -7 - -3. Let d be 26/(-8) - r/16. Let t(s) = -s**3 - s - 2*s**2 - 2 + 4*s - 2. What is t(d)?\n' | b'-4\n' | b'Let r = -7 - -3. Let d be 26/(-8) - r/16. Let t(s) = -s**3 - s - 2*s**2 - 2 + 4*s - 2. What is t(d)?\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 3, m: 2}. What is prob of sequence mm?\n' | b'1/10\n' | b'Two letters picked without replacement from {o: 3, m: 2}. What is prob of sequence mm?\n' | b'1/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mhdmfhsmdyyyysds. Give prob of picking 1 m and 1 y.\n' | b'1/10\n' | b'Two letters picked without replacement from mhdmfhsmdyyyysds. Give prob of picking 1 m and 1 y.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify ((a/a**(1/11))/(a/(a**(7/2)*a*a)))/(a**(-3)*a**(-24)) assuming a is positive.\n' | b'a**(713/22)\n' | b'Simplify ((a/a**(1/11))/(a/(a**(7/2)*a*a)))/(a**(-3)*a**(-24)) assuming a is positive.\n' | b'a**(713/22)\n' | deepmind/math_dataset |
b'Find the second derivative of -4*o**4 + o + 4*o**4 + 0*o - 34*o**4 wrt o.\n' | b'-408*o**2\n' | b'Find the second derivative of -4*o**4 + o + 4*o**4 + 0*o - 34*o**4 wrt o.\n' | b'-408*o**2\n' | deepmind/math_dataset |
b'Let q(l) = -10*l - 38. Let f be q(-4). Solve 4*u + 4 = j, -f*u + 0 = 3*j + 2 for u.\n' | b'-1\n' | b'Let q(l) = -10*l - 38. Let f be q(-4). Solve 4*u + 4 = j, -f*u + 0 = 3*j + 2 for u.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 13, n: 5}. What is prob of sequence ddn?\n' | b'65/408\n' | b'Three letters picked without replacement from {d: 13, n: 5}. What is prob of sequence ddn?\n' | b'65/408\n' | deepmind/math_dataset |
b'Suppose 6*r + 96 = 22*r. Solve 3*s = r, -u - 4*u = -5*s for u.\n' | b'2\n' | b'Suppose 6*r + 96 = 22*r. Solve 3*s = r, -u - 4*u = -5*s for u.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (((j**0*j)/j)**(-44)/(j**1/j)**(3/5))/((j**(2/7))**12*j**(5/2)/(j**(-1/14)/j)) assuming j is positive.\n' | b'j**(-7)\n' | b'Simplify (((j**0*j)/j)**(-44)/(j**1/j)**(3/5))/((j**(2/7))**12*j**(5/2)/(j**(-1/14)/j)) assuming j is positive.\n' | b'j**(-7)\n' | deepmind/math_dataset |
b'Simplify ((j**0/j)/j)**(14/11)/(j**(-1/3))**(-32) assuming j is positive.\n' | b'j**(-436/33)\n' | b'Simplify ((j**0/j)/j)**(14/11)/(j**(-1/3))**(-32) assuming j is positive.\n' | b'j**(-436/33)\n' | deepmind/math_dataset |
b'Let a(h) be the first derivative of h**3/3 + 3*h**2 + 2*h + 31. Give a(-6).\n' | b'2\n' | b'Let a(h) be the first derivative of h**3/3 + 3*h**2 + 2*h + 31. Give a(-6).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (i**(2/11))**26*(i*i**(-1/26))/i*(((i*i*i**(-18/7))/i)/i)/i assuming i is positive.\n' | b'i**(2237/2002)\n' | b'Simplify (i**(2/11))**26*(i*i**(-1/26))/i*(((i*i*i**(-18/7))/i)/i)/i assuming i is positive.\n' | b'i**(2237/2002)\n' | deepmind/math_dataset |
b'Let z(h) = -5*h - h**2 + 43 - 36 + 0*h**2. What is z(-6)?\n' | b'1\n' | b'Let z(h) = -5*h - h**2 + 43 - 36 + 0*h**2. What is z(-6)?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -5*k = -12 - 8. Suppose -x = k*x - 5. Let h(g) = 3 + x + 1 + g. Give h(-3).\n' | b'2\n' | b'Suppose -5*k = -12 - 8. Suppose -x = k*x - 5. Let h(g) = 3 + x + 1 + g. Give h(-3).\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 1, l: 4, j: 2}. What is prob of sequence jj?\n' | b'1/21\n' | b'Two letters picked without replacement from {b: 1, l: 4, j: 2}. What is prob of sequence jj?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let w be (-17)/(-2) - (-1)/(-2). Let d(h) = -h**3 + 7*h**2 + 9*h - 6. Let g be d(w). Let x(s) = 4 + 1 + 0*s + s - g. Calculate x(-6).\n' | b'-3\n' | b'Let w be (-17)/(-2) - (-1)/(-2). Let d(h) = -h**3 + 7*h**2 + 9*h - 6. Let g be d(w). Let x(s) = 4 + 1 + 0*s + s - g. Calculate x(-6).\n' | b'-3\n' | deepmind/math_dataset |
b'What is the first derivative of 25441*b**3 + 189*b**4 + 464 - 66 - 25441*b**3 wrt b?\n' | b'756*b**3\n' | b'What is the first derivative of 25441*b**3 + 189*b**4 + 464 - 66 - 25441*b**3 wrt b?\n' | b'756*b**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vjvbhiw. What is prob of picking 1 v and 1 i?\n' | b'2/21\n' | b'Two letters picked without replacement from vjvbhiw. What is prob of picking 1 v and 1 i?\n' | b'2/21\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 2, w: 1, q: 1, k: 1, u: 1, c: 2}. Give prob of picking 2 e and 1 w.\n' | b'1/56\n' | b'Three letters picked without replacement from {e: 2, w: 1, q: 1, k: 1, u: 1, c: 2}. Give prob of picking 2 e and 1 w.\n' | b'1/56\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uqxabuq. What is prob of picking 2 q?\n' | b'1/21\n' | b'Two letters picked without replacement from uqxabuq. What is prob of picking 2 q?\n' | b'1/21\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h and 3 s when four letters picked without replacement from {r: 1, s: 10, i: 1, h: 3}.\n' | b'24/91\n' | b'Calculate prob of picking 1 h and 3 s when four letters picked without replacement from {r: 1, s: 10, i: 1, h: 3}.\n' | b'24/91\n' | deepmind/math_dataset |
b'Suppose 1 + 7 = 2*c. Find the second derivative of -r**2 - r + c*r + 2*r**2 wrt r.\n' | b'2\n' | b'Suppose 1 + 7 = 2*c. Find the second derivative of -r**2 - r + c*r + 2*r**2 wrt r.\n' | b'2\n' | deepmind/math_dataset |
b'Let b = -419 - -425. Solve -3*z + b*z - 12 = 4*f, -2*z + 3 = -f for z.\n' | b'0\n' | b'Let b = -419 - -425. Solve -3*z + b*z - 12 = 4*f, -2*z + 3 = -f for z.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence bc when two letters picked without replacement from {c: 7, b: 5}?\n' | b'35/132\n' | b'What is prob of sequence bc when two letters picked without replacement from {c: 7, b: 5}?\n' | b'35/132\n' | deepmind/math_dataset |
b'What is prob of sequence jj when two letters picked without replacement from {j: 4, m: 7, k: 3}?\n' | b'6/91\n' | b'What is prob of sequence jj when two letters picked without replacement from {j: 4, m: 7, k: 3}?\n' | b'6/91\n' | deepmind/math_dataset |
b'Let d(w) = w**3 - 10*w**2 + 22*w + 2. Let x(m) = 8*m**2 + 262*m - 263. Let s be x(1). Give d(s).\n' | b'9\n' | b'Let d(w) = w**3 - 10*w**2 + 22*w + 2. Let x(m) = 8*m**2 + 262*m - 263. Let s be x(1). Give d(s).\n' | b'9\n' | deepmind/math_dataset |
b'Differentiate -651 + 629*p - 662 + 1394 wrt p.\n' | b'629\n' | b'Differentiate -651 + 629*p - 662 + 1394 wrt p.\n' | b'629\n' | deepmind/math_dataset |
b'Let a(d) be the third derivative of -2*d**4 - d**3/6 - 13*d**2 - 11*d. Give a(1).\n' | b'-49\n' | b'Let a(d) be the third derivative of -2*d**4 - d**3/6 - 13*d**2 - 11*d. Give a(1).\n' | b'-49\n' | deepmind/math_dataset |
b'Suppose 0 = -15*h + 129 + 21. Solve -5*f - h = 3*d, f = -d + 3*d - 15 for f.\n' | b'-5\n' | b'Suppose 0 = -15*h + 129 + 21. Solve -5*f - h = 3*d, f = -d + 3*d - 15 for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Let u = 4907 + -4907. Let t(o) be the third derivative of -23/6*o**3 - 3*o**2 + u*o**6 + 0*o**5 + 0*o**4 + 2/21*o**7 + 0 + 0*o. Differentiate t(n) wrt n.\n' | b'80*n**3\n' | b'Let u = 4907 + -4907. Let t(o) be the third derivative of -23/6*o**3 - 3*o**2 + u*o**6 + 0*o**5 + 0*o**4 + 2/21*o**7 + 0 + 0*o. Differentiate t(n) wrt n.\n' | b'80*n**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 4, n: 2, l: 2, p: 2, f: 4}. What is prob of sequence fkk?\n' | b'2/91\n' | b'Three letters picked without replacement from {k: 4, n: 2, l: 2, p: 2, f: 4}. What is prob of sequence fkk?\n' | b'2/91\n' | deepmind/math_dataset |
b'Suppose t - 1 + 2 = 0. Let i be 2 - (t - -5)/(-2). What is the second derivative of -i*p - 3*p**2 + 2*p**2 + 2*p**2 + 0*p wrt p?\n' | b'2\n' | b'Suppose t - 1 + 2 = 0. Let i be 2 - (t - -5)/(-2). What is the second derivative of -i*p - 3*p**2 + 2*p**2 + 2*p**2 + 0*p wrt p?\n' | b'2\n' | deepmind/math_dataset |
b'Let z(t) = -t**3 + 9*t**2 + 9*t - 5. Let f(q) = 3*q**2 + 32*q - 1. Let y be f(-11). Calculate z(y).\n' | b'-15\n' | b'Let z(t) = -t**3 + 9*t**2 + 9*t - 5. Let f(q) = 3*q**2 + 32*q - 1. Let y be f(-11). Calculate z(y).\n' | b'-15\n' | deepmind/math_dataset |
b'Let l(b) = 2*b**2 - 20*b. Let d be l(10). Suppose -4*z - 26 + 46 = d. Solve 4 = -2*k + 5*v + 9, 0 = z*k + 2*v + 2 for k.\n' | b'0\n' | b'Let l(b) = 2*b**2 - 20*b. Let d be l(10). Suppose -4*z - 26 + 46 = d. Solve 4 = -2*k + 5*v + 9, 0 = z*k + 2*v + 2 for k.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (u*u**4*u*u**(-2/3))/((u/u**(-2/9))/(u/(u**2*u))) assuming u is positive.\n' | b'u**(19/9)\n' | b'Simplify (u*u**4*u*u**(-2/3))/((u/u**(-2/9))/(u/(u**2*u))) assuming u is positive.\n' | b'u**(19/9)\n' | deepmind/math_dataset |
b'Let r(j) be the third derivative of 0*j - 4/3*j**3 + 0 + 7/60*j**5 - 5*j**2 - 1/120*j**6 - 5/24*j**4. Determine r(6).\n' | b'-2\n' | b'Let r(j) be the third derivative of 0*j - 4/3*j**3 + 0 + 7/60*j**5 - 5*j**2 - 1/120*j**6 - 5/24*j**4. Determine r(6).\n' | b'-2\n' | deepmind/math_dataset |
b'Let r = -15 - -20. Find the third derivative of 2*l**2 + 2*l**5 + 4 - 8*l**r - 4 wrt l.\n' | b'-360*l**2\n' | b'Let r = -15 - -20. Find the third derivative of 2*l**2 + 2*l**5 + 4 - 8*l**r - 4 wrt l.\n' | b'-360*l**2\n' | deepmind/math_dataset |
b'Simplify (v/(v*(v**(1/3)/v)/v*v))/v**4*v*v*v**(-9)*v**(2/7)*v*(v**(-3/14)/(v**(-1/11)*v*v))**(-41/3) assuming v is positive.\n' | b'v**(9227/462)\n' | b'Simplify (v/(v*(v**(1/3)/v)/v*v))/v**4*v*v*v**(-9)*v**(2/7)*v*(v**(-3/14)/(v**(-1/11)*v*v))**(-41/3) assuming v is positive.\n' | b'v**(9227/462)\n' | deepmind/math_dataset |
b'What is prob of sequence bn when two letters picked without replacement from {b: 6, c: 3, n: 8}?\n' | b'3/17\n' | b'What is prob of sequence bn when two letters picked without replacement from {b: 6, c: 3, n: 8}?\n' | b'3/17\n' | deepmind/math_dataset |
b'What is prob of sequence tx when two letters picked without replacement from {k: 1, t: 4, u: 1, r: 2, x: 2}?\n' | b'4/45\n' | b'What is prob of sequence tx when two letters picked without replacement from {k: 1, t: 4, u: 1, r: 2, x: 2}?\n' | b'4/45\n' | deepmind/math_dataset |
b'Let a be 1*(4/4 - -18). Suppose 26 + a = 15*r. Solve 12 = 5*x - r*q, x - 5*q - 2 = -4*q for x.\n' | b'3\n' | b'Let a be 1*(4/4 - -18). Suppose 26 + a = 15*r. Solve 12 = 5*x - r*q, x - 5*q - 2 = -4*q for x.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v when two letters picked without replacement from jvvvnvjjjjjn.\n' | b'1/11\n' | b'Calculate prob of picking 2 v when two letters picked without replacement from jvvvnvjjjjjn.\n' | b'1/11\n' | deepmind/math_dataset |
b'Simplify (o**(-13)/o*o*o*o**(-22)/o)**(3/38) assuming o is positive.\n' | b'o**(-105/38)\n' | b'Simplify (o**(-13)/o*o*o*o**(-22)/o)**(3/38) assuming o is positive.\n' | b'o**(-105/38)\n' | deepmind/math_dataset |
b'Let s(p) = -p + 7. Let q be s(5). Suppose 8 = -q*o - 2*o. Let g be (-186)/(-12) - (-1)/o. Solve -g = 2*z + 2*f - 5*f, 2*f - 10 = 2*z for z.\n' | b'0\n' | b'Let s(p) = -p + 7. Let q be s(5). Suppose 8 = -q*o - 2*o. Let g be (-186)/(-12) - (-1)/o. Solve -g = 2*z + 2*f - 5*f, 2*f - 10 = 2*z for z.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from toqdw. Give prob of picking 1 q and 1 w.\n' | b'1/10\n' | b'Two letters picked without replacement from toqdw. Give prob of picking 1 q and 1 w.\n' | b'1/10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 7, t: 1, x: 2}. Give prob of picking 1 i, 2 x, and 1 t.\n' | b'1/30\n' | b'Four letters picked without replacement from {i: 7, t: 1, x: 2}. Give prob of picking 1 i, 2 x, and 1 t.\n' | b'1/30\n' | deepmind/math_dataset |
b'Let v(r) = -26*r - 23*r - 36*r - 64 - 28*r + 110*r. What is v(-28)?\n' | b'20\n' | b'Let v(r) = -26*r - 23*r - 36*r - 64 - 28*r + 110*r. What is v(-28)?\n' | b'20\n' | deepmind/math_dataset |
b'Suppose -39*i - 181 - 74 = -21. Let v(z) = z**3 + 6*z**2 + 7*z + 38. Calculate v(i).\n' | b'-4\n' | b'Suppose -39*i - 181 - 74 = -21. Let v(z) = z**3 + 6*z**2 + 7*z + 38. Calculate v(i).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 3*u = -9, 4*b - 3*u = 37 + 8. Solve 3*z + 2*x = -9, z - 4*x = -b*x - 3 for z.\n' | b'-3\n' | b'Suppose 3*u = -9, 4*b - 3*u = 37 + 8. Solve 3*z + 2*x = -9, z - 4*x = -b*x - 3 for z.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 g when two letters picked without replacement from gdgdddddddddgddddd.\n' | b'1/51\n' | b'Calculate prob of picking 2 g when two letters picked without replacement from gdgdddddddddgddddd.\n' | b'1/51\n' | deepmind/math_dataset |
b'Let j(b) = -3*b**2 - 21*b + 3. Let p be j(-6). Solve m = -5*h + 26, -h - m = 3*h - p for h.\n' | b'5\n' | b'Let j(b) = -3*b**2 - 21*b + 3. Let p be j(-6). Solve m = -5*h + 26, -h - m = 3*h - p for h.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (l**(-6)/l*l/((l/l**(-2/11))/l))/(l/(l/l**(1/3)*l*l))**(-7/6) assuming l is positive.\n' | b'l**(-1609/198)\n' | b'Simplify (l**(-6)/l*l/((l/l**(-2/11))/l))/(l/(l/l**(1/3)*l*l))**(-7/6) assuming l is positive.\n' | b'l**(-1609/198)\n' | deepmind/math_dataset |
b'Simplify (z/(z*z/(z/(z**(-2/7)/z)*z)))/(z**6/z)*(z**0/z)**(-1/2) assuming z is positive.\n' | b'z**(-31/14)\n' | b'Simplify (z/(z*z/(z/(z**(-2/7)/z)*z)))/(z**6/z)*(z**0/z)**(-1/2) assuming z is positive.\n' | b'z**(-31/14)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from geee. What is prob of picking 2 g and 1 e?\n' | b'0\n' | b'Three letters picked without replacement from geee. What is prob of picking 2 g and 1 e?\n' | b'0\n' | deepmind/math_dataset |
b'Let z(u) be the first derivative of 15*u**2/2 + 103*u + 1518. Give z(-7).\n' | b'-2\n' | b'Let z(u) be the first derivative of 15*u**2/2 + 103*u + 1518. Give z(-7).\n' | b'-2\n' | deepmind/math_dataset |
b'Let c(t) be the second derivative of -3*t**3 + 15*t**2/2 - 2*t. Find the first derivative of c(m) wrt m.\n' | b'-18\n' | b'Let c(t) be the second derivative of -3*t**3 + 15*t**2/2 - 2*t. Find the first derivative of c(m) wrt m.\n' | b'-18\n' | deepmind/math_dataset |
b'Let b(o) = -331*o**4 - 11*o**2 + 444*o + 11. Let a(k) = 66*k**4 + 2*k**2 - 89*k - 2. Let r(w) = 11*a(w) + 2*b(w). What is the second derivative of r(f) wrt f?\n' | b'768*f**2\n' | b'Let b(o) = -331*o**4 - 11*o**2 + 444*o + 11. Let a(k) = 66*k**4 + 2*k**2 - 89*k - 2. Let r(w) = 11*a(w) + 2*b(w). What is the second derivative of r(f) wrt f?\n' | b'768*f**2\n' | deepmind/math_dataset |
b'Let c be -7*(-2)/(-4)*24/(-21). Differentiate 19 + 0*m**4 + 30*m**c - 18 wrt m.\n' | b'120*m**3\n' | b'Let c be -7*(-2)/(-4)*24/(-21). Differentiate 19 + 0*m**4 + 30*m**c - 18 wrt m.\n' | b'120*m**3\n' | deepmind/math_dataset |
b'What is prob of sequence so when two letters picked without replacement from sro?\n' | b'1/6\n' | b'What is prob of sequence so when two letters picked without replacement from sro?\n' | b'1/6\n' | deepmind/math_dataset |
b'Suppose -4*c - u + 2 = 0, -15*c + 4*u = -13*c - 10. Let j be (-48)/36 + ((-44)/(-6) - c). Solve h = 3*y + 17, j*h + 4*y - 5 = 3*y for h.\n' | b'2\n' | b'Suppose -4*c - u + 2 = 0, -15*c + 4*u = -13*c - 10. Let j be (-48)/36 + ((-44)/(-6) - c). Solve h = 3*y + 17, j*h + 4*y - 5 = 3*y for h.\n' | b'2\n' | deepmind/math_dataset |
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