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 = -2610 - -2613. Solve 0 = -f - 2*x - 3 - 6, -x = w for f.\n' | b'-3\n' | b'Let w = -2610 - -2613. Solve 0 = -f - 2*x - 3 - 6, -x = w for f.\n' | b'-3\n' | deepmind/math_dataset |
b'Let u(d) = -2 + 1 + 3*d + 0*d**3 + 3 + d**3 + 4*d**2. Suppose 7*a - 4 = 3*i + 2*a, 5 = -5*a. Determine u(i).\n' | b'2\n' | b'Let u(d) = -2 + 1 + 3*d + 0*d**3 + 3 + d**3 + 4*d**2. Suppose 7*a - 4 = 3*i + 2*a, 5 = -5*a. Determine u(i).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 3 p when three letters picked without replacement from {v: 2, k: 2, p: 8}?\n' | b'14/55\n' | b'What is prob of picking 3 p when three letters picked without replacement from {v: 2, k: 2, p: 8}?\n' | b'14/55\n' | deepmind/math_dataset |
b'Let q(m) = 4*m**2 - 4*m + 6. Let s be (6/27)/(112/36 - 3). Give q(s).\n' | b'14\n' | b'Let q(m) = 4*m**2 - 4*m + 6. Let s be (6/27)/(112/36 - 3). Give q(s).\n' | b'14\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {j: 8, x: 1, u: 4, a: 7}.\n' | b'14/95\n' | b'Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {j: 8, x: 1, u: 4, a: 7}.\n' | b'14/95\n' | deepmind/math_dataset |
b'Simplify n**(1/4)*n*n/n**(-2/37)*n*n/(n/(n**(-3)*n))*n**(-3)/n assuming n is positive.\n' | b'n**(-399/148)\n' | b'Simplify n**(1/4)*n*n/n**(-2/37)*n*n/(n/(n**(-3)*n))*n**(-3)/n assuming n is positive.\n' | b'n**(-399/148)\n' | deepmind/math_dataset |
b'Let b = -13 - -14. Let q(c) = -7*c - 12. Let j(w) = -8*w - 14. Let n(s) = 6*j(s) - 7*q(s). Calculate n(b).\n' | b'1\n' | b'Let b = -13 - -14. Let q(c) = -7*c - 12. Let j(w) = -8*w - 14. Let n(s) = 6*j(s) - 7*q(s). Calculate n(b).\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aaanaaaaaaaannaaaaaa. Give prob of sequence naa.\n' | b'34/285\n' | b'Three letters picked without replacement from aaanaaaaaaaannaaaaaa. Give prob of sequence naa.\n' | b'34/285\n' | deepmind/math_dataset |
b'What is prob of picking 1 p and 2 b when three letters picked without replacement from pblcbbcbbpb?\n' | b'2/11\n' | b'What is prob of picking 1 p and 2 b when three letters picked without replacement from pblcbbcbbpb?\n' | b'2/11\n' | deepmind/math_dataset |
b'Let b(l) = 20*l + 75. Let p(k) = -30*k - 112. Let i(n) = 7*b(n) + 5*p(n). Let c(f) = -7*f - 23. Let v(a) = -7*c(a) + 5*i(a). Calculate v(-6).\n' | b'-8\n' | b'Let b(l) = 20*l + 75. Let p(k) = -30*k - 112. Let i(n) = 7*b(n) + 5*p(n). Let c(f) = -7*f - 23. Let v(a) = -7*c(a) + 5*i(a). Calculate v(-6).\n' | b'-8\n' | deepmind/math_dataset |
b'Find the first derivative of -18*c**3 + 102 + 40*c**3 + 6*c**3 - c wrt c.\n' | b'84*c**2 - 1\n' | b'Find the first derivative of -18*c**3 + 102 + 40*c**3 + 6*c**3 - c wrt c.\n' | b'84*c**2 - 1\n' | deepmind/math_dataset |
b'Simplify ((p**(-8)*p)/((p/p**(-2/9))/p))**(-50) assuming p is positive.\n' | b'p**(3250/9)\n' | b'Simplify ((p**(-8)*p)/((p/p**(-2/9))/p))**(-50) assuming p is positive.\n' | b'p**(3250/9)\n' | deepmind/math_dataset |
b'Suppose 2*t - c = 26, t - 10 - 3 = 4*c. Suppose -4*k + 20 = 0, 3*i + t = 2*k - 27. Let s(h) = h**2 + 10*h - 14. Give s(i).\n' | b'-14\n' | b'Suppose 2*t - c = 26, t - 10 - 3 = 4*c. Suppose -4*k + 20 = 0, 3*i + t = 2*k - 27. Let s(h) = h**2 + 10*h - 14. Give s(i).\n' | b'-14\n' | deepmind/math_dataset |
b'Let r(m) = m**2 - 4*m. Suppose -4*z = -30 - 6. Suppose -z = -3*i - 0. Suppose i*g = 20 - 8. What is r(g)?\n' | b'0\n' | b'Let r(m) = m**2 - 4*m. Suppose -4*z = -30 - 6. Suppose -z = -3*i - 0. Suppose i*g = 20 - 8. What is r(g)?\n' | b'0\n' | deepmind/math_dataset |
b'Let k(x) be the second derivative of -x**6/30 - 3*x**5/4 - x**3/3 + 17*x**2 + 357*x. Find the second derivative of k(n) wrt n.\n' | b'-12*n**2 - 90*n\n' | b'Let k(x) be the second derivative of -x**6/30 - 3*x**5/4 - x**3/3 + 17*x**2 + 357*x. Find the second derivative of k(n) wrt n.\n' | b'-12*n**2 - 90*n\n' | deepmind/math_dataset |
b'Let p(n) = 3*n**2 - 7*n + 3. Let c be p(5). What is the second derivative of -7*t + t**3 - c*t + 24*t**3 - 4*t**3 wrt t?\n' | b'126*t\n' | b'Let p(n) = 3*n**2 - 7*n + 3. Let c be p(5). What is the second derivative of -7*t + t**3 - c*t + 24*t**3 - 4*t**3 wrt t?\n' | b'126*t\n' | deepmind/math_dataset |
b'Let z(j) = -198*j**5 - 3*j**4 - 3*j**3 - 125*j**2 - 3*j. Let h(b) = -b**4 - b**3 - b**2 - b. Let c(i) = 3*h(i) - z(i). Find the third derivative of c(a) wrt a.\n' | b'11880*a**2\n' | b'Let z(j) = -198*j**5 - 3*j**4 - 3*j**3 - 125*j**2 - 3*j. Let h(b) = -b**4 - b**3 - b**2 - b. Let c(i) = 3*h(i) - z(i). Find the third derivative of c(a) wrt a.\n' | b'11880*a**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence jhhk when four letters picked without replacement from {k: 4, j: 4, h: 7}.\n' | b'4/195\n' | b'Calculate prob of sequence jhhk when four letters picked without replacement from {k: 4, j: 4, h: 7}.\n' | b'4/195\n' | deepmind/math_dataset |
b'Suppose -15 = -5*c + 3*q, -4*c - 3*q + 15 = c. Suppose -c*l = 114 - 468. Let i = l - 108. Solve 15 = -5*u - 3*t - 6, 2*t + i = -2*u for u.\n' | b'-3\n' | b'Suppose -15 = -5*c + 3*q, -4*c - 3*q + 15 = c. Suppose -c*l = 114 - 468. Let i = l - 108. Solve 15 = -5*u - 3*t - 6, 2*t + i = -2*u for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Let w(k) be the first derivative of -13*k**6/30 + 13*k**4/6 + 11*k - 18. Let m(q) be the first derivative of w(q). Find the third derivative of m(j) wrt j.\n' | b'-312*j\n' | b'Let w(k) be the first derivative of -13*k**6/30 + 13*k**4/6 + 11*k - 18. Let m(q) be the first derivative of w(q). Find the third derivative of m(j) wrt j.\n' | b'-312*j\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 10, u: 2, s: 1, h: 4, n: 2}. Give prob of sequence hshn.\n' | b'1/3876\n' | b'Four letters picked without replacement from {b: 10, u: 2, s: 1, h: 4, n: 2}. Give prob of sequence hshn.\n' | b'1/3876\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qmn. What is prob of picking 1 m and 1 q?\n' | b'1/3\n' | b'Two letters picked without replacement from qmn. What is prob of picking 1 m and 1 q?\n' | b'1/3\n' | deepmind/math_dataset |
b'What is the second derivative of -832609 + 3999*d + 1169*d**3 + 832609 wrt d?\n' | b'7014*d\n' | b'What is the second derivative of -832609 + 3999*d + 1169*d**3 + 832609 wrt d?\n' | b'7014*d\n' | deepmind/math_dataset |
b'Let p = 12 + -12. Suppose 2*j + 0 - 8 = p. Solve g - 7 = 3*n - 2, -j*g + 20 = 2*n for n.\n' | b'0\n' | b'Let p = 12 + -12. Suppose 2*j + 0 - 8 = p. Solve g - 7 = 3*n - 2, -j*g + 20 = 2*n for n.\n' | b'0\n' | deepmind/math_dataset |
b'Let m(h) = -7*h - 19. Suppose 0*k - 2*j = 3*k - 15, j - 3 = 0. Let s(b) = -4*b - 10. Let a(w) = k*m(w) - 5*s(w). Determine a(-5).\n' | b'-2\n' | b'Let m(h) = -7*h - 19. Suppose 0*k - 2*j = 3*k - 15, j - 3 = 0. Let s(b) = -4*b - 10. Let a(w) = k*m(w) - 5*s(w). Determine a(-5).\n' | b'-2\n' | deepmind/math_dataset |
b'Let y(v) be the first derivative of 0*v**4 - 14/3*v**3 + 11/5*v**5 + 0*v + 0*v**2 + 7. Find the third derivative of y(p) wrt p.\n' | b'264*p\n' | b'Let y(v) be the first derivative of 0*v**4 - 14/3*v**3 + 11/5*v**5 + 0*v + 0*v**2 + 7. Find the third derivative of y(p) wrt p.\n' | b'264*p\n' | deepmind/math_dataset |
b'Suppose 4*l - 380 = 5*o - 393, o + 7 = 0. Let i(t) = -t**3 - 13*t**2 - 13*t - 5. Determine i(l).\n' | b'7\n' | b'Suppose 4*l - 380 = 5*o - 393, o + 7 = 0. Let i(t) = -t**3 - 13*t**2 - 13*t - 5. Determine i(l).\n' | b'7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 3, o: 2, j: 2, y: 5, p: 3}. What is prob of sequence jyy?\n' | b'4/273\n' | b'Three letters picked without replacement from {u: 3, o: 2, j: 2, y: 5, p: 3}. What is prob of sequence jyy?\n' | b'4/273\n' | deepmind/math_dataset |
b'Calculate prob of sequence lcl when three letters picked without replacement from {w: 1, c: 1, l: 2, g: 1}.\n' | b'1/30\n' | b'Calculate prob of sequence lcl when three letters picked without replacement from {w: 1, c: 1, l: 2, g: 1}.\n' | b'1/30\n' | deepmind/math_dataset |
b'Let i(m) be the first derivative of -20*m**3/3 - 3*m**2/2 - 8. What is the second derivative of i(c) wrt c?\n' | b'-40\n' | b'Let i(m) be the first derivative of -20*m**3/3 - 3*m**2/2 - 8. What is the second derivative of i(c) wrt c?\n' | b'-40\n' | deepmind/math_dataset |
b'Simplify (y**(1/4))**9/((y*y/y**(-1/4)*y)/(y*y**5*y*y*y))*(y/(y/(y*y/y**(-4)))*y*y**(2/3))**(-1/2) assuming y is positive.\n' | b'y**(25/6)\n' | b'Simplify (y**(1/4))**9/((y*y/y**(-1/4)*y)/(y*y**5*y*y*y))*(y/(y/(y*y/y**(-4)))*y*y**(2/3))**(-1/2) assuming y is positive.\n' | b'y**(25/6)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 3, w: 1, a: 1, s: 3, u: 2, i: 1}. Give prob of picking 1 i, 1 v, and 2 u.\n' | b'1/110\n' | b'Four letters picked without replacement from {v: 3, w: 1, a: 1, s: 3, u: 2, i: 1}. Give prob of picking 1 i, 1 v, and 2 u.\n' | b'1/110\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 4, c: 6, a: 2, n: 2, r: 3, z: 1}. Give prob of sequence trrz.\n' | b'1/3060\n' | b'Four letters picked without replacement from {t: 4, c: 6, a: 2, n: 2, r: 3, z: 1}. Give prob of sequence trrz.\n' | b'1/3060\n' | deepmind/math_dataset |
b'Suppose q + 1 = -1. Let u(f) be the first derivative of -9 - 1/3*f**3 - f**2 - f. Determine u(q).\n' | b'-1\n' | b'Suppose q + 1 = -1. Let u(f) be the first derivative of -9 - 1/3*f**3 - f**2 - f. Determine u(q).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (((b/(b/b**(1/3))*b**(-1/3))/((b**5/b*b)/b**(-2/17)))**19)**(-35/4) assuming b is positive.\n' | b'b**(57855/68)\n' | b'Simplify (((b/(b/b**(1/3))*b**(-1/3))/((b**5/b*b)/b**(-2/17)))**19)**(-35/4) assuming b is positive.\n' | b'b**(57855/68)\n' | deepmind/math_dataset |
b'Simplify ((y**(-1/8)*y)/y)/y**2 assuming y is positive.\n' | b'y**(-17/8)\n' | b'Simplify ((y**(-1/8)*y)/y)/y**2 assuming y is positive.\n' | b'y**(-17/8)\n' | deepmind/math_dataset |
b'Let t(s) = -3*s. Let a(p) = -3*p - 3. Let b be a(-6). Let g = 7 - b. Let x = -12 - g. Calculate t(x).\n' | b'12\n' | b'Let t(s) = -3*s. Let a(p) = -3*p - 3. Let b be a(-6). Let g = 7 - b. Let x = -12 - g. Calculate t(x).\n' | b'12\n' | deepmind/math_dataset |
b'Simplify u*u*u*(u*u**1)/u*u*u**(-9/4)*u*u**(-1/5)*u*u*u**(-1/13) assuming u is positive.\n' | b'u**(1423/260)\n' | b'Simplify u*u*u*(u*u**1)/u*u*u**(-9/4)*u*u**(-1/5)*u*u*u**(-1/13) assuming u is positive.\n' | b'u**(1423/260)\n' | deepmind/math_dataset |
b'Let v(r) be the third derivative of r**5/60 + r**4/8 - r**2. Suppose -p - 3*b + 7 = -5*p, 0 = 2*b - 2. Let l be -3 - 1 - 2*p. What is v(l)?\n' | b'-2\n' | b'Let v(r) be the third derivative of r**5/60 + r**4/8 - r**2. Suppose -p - 3*b + 7 = -5*p, 0 = 2*b - 2. Let l be -3 - 1 - 2*p. What is v(l)?\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nnnnnnvnvnsvvnvnvvnv. Give prob of sequence vnv.\n' | b'77/855\n' | b'Three letters picked without replacement from nnnnnnvnvnsvvnvnvvnv. Give prob of sequence vnv.\n' | b'77/855\n' | deepmind/math_dataset |
b'Suppose -5*m + 11 = -4. Suppose -u - 1 + 4 = 2*l, 0 = 3*u + 9. Let q(c) = 2 + 2 - 3 - l*c. Give q(m).\n' | b'-8\n' | b'Suppose -5*m + 11 = -4. Suppose -u - 1 + 4 = 2*l, 0 = 3*u + 9. Let q(c) = 2 + 2 - 3 - l*c. Give q(m).\n' | b'-8\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 b and 1 f when three letters picked without replacement from bdddbdxfbd.\n' | b'1/40\n' | b'Calculate prob of picking 2 b and 1 f when three letters picked without replacement from bdddbdxfbd.\n' | b'1/40\n' | deepmind/math_dataset |
b'Let r(v) = 5*v**2 - 3*v**2 - 11 + v + 5*v**2 - 6*v**2. Give r(-5).\n' | b'9\n' | b'Let r(v) = 5*v**2 - 3*v**2 - 11 + v + 5*v**2 - 6*v**2. Give r(-5).\n' | b'9\n' | deepmind/math_dataset |
b'Let k(p) = p - 7. Let c be k(-11). Let n be ((-80)/36)/(-10) - 32/c. Solve -5*w - 10 = -5*f, n*w = 5*w + f + 14 for w.\n' | b'-4\n' | b'Let k(p) = p - 7. Let c be k(-11). Let n be ((-80)/36)/(-10) - 32/c. Solve -5*w - 10 = -5*f, n*w = 5*w + f + 14 for w.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 2*l + l - 18 = 0. Let z(p) be the first derivative of 7 + 8*p - 1/2*p**2. What is z(l)?\n' | b'2\n' | b'Suppose 2*l + l - 18 = 0. Let z(p) be the first derivative of 7 + 8*p - 1/2*p**2. What is z(l)?\n' | b'2\n' | deepmind/math_dataset |
b'Let b = -3 - -8. Let n(o) be the third derivative of -o**6/120 + o**5/10 - o**4/12 + 7*o**3/6 + 4261*o**2. Give n(b).\n' | b'22\n' | b'Let b = -3 - -8. Let n(o) be the third derivative of -o**6/120 + o**5/10 - o**4/12 + 7*o**3/6 + 4261*o**2. Give n(b).\n' | b'22\n' | deepmind/math_dataset |
b'What is the third derivative of -134*j**6 - 76*j**6 + 206*j**6 - 115*j**3 - 89*j - 7*j**2 wrt j?\n' | b'-480*j**3 - 690\n' | b'What is the third derivative of -134*j**6 - 76*j**6 + 206*j**6 - 115*j**3 - 89*j - 7*j**2 wrt j?\n' | b'-480*j**3 - 690\n' | deepmind/math_dataset |
b'Calculate prob of sequence zt when two letters picked without replacement from {z: 3, u: 1, k: 4, t: 5, s: 3, o: 1}.\n' | b'15/272\n' | b'Calculate prob of sequence zt when two letters picked without replacement from {z: 3, u: 1, k: 4, t: 5, s: 3, o: 1}.\n' | b'15/272\n' | deepmind/math_dataset |
b'Let a(z) = z**4 + z**3 - 2*z**2 - z. Let u(w) = -13*w**5 - 20*w**4 - 4*w**3 + 171*w**2 + 2*w. Let n(v) = 4*a(v) + u(v). Find the third derivative of n(j) wrt j.\n' | b'-780*j**2 - 384*j\n' | b'Let a(z) = z**4 + z**3 - 2*z**2 - z. Let u(w) = -13*w**5 - 20*w**4 - 4*w**3 + 171*w**2 + 2*w. Let n(v) = 4*a(v) + u(v). Find the third derivative of n(j) wrt j.\n' | b'-780*j**2 - 384*j\n' | deepmind/math_dataset |
b'Simplify (c*(c/(c*c*(c/(c**(-36)*c))/c))/c*c*c**(-24))/(c/(c**(-23)*c))**(2/115) assuming c is positive.\n' | b'c**(-297/5)\n' | b'Simplify (c*(c/(c*c*(c/(c**(-36)*c))/c))/c*c*c**(-24))/(c/(c**(-23)*c))**(2/115) assuming c is positive.\n' | b'c**(-297/5)\n' | deepmind/math_dataset |
b'Simplify g**(-2/27)*g**(-4)/g*(g**(1/2))**(-18) assuming g is positive.\n' | b'g**(-380/27)\n' | b'Simplify g**(-2/27)*g**(-4)/g*(g**(1/2))**(-18) assuming g is positive.\n' | b'g**(-380/27)\n' | deepmind/math_dataset |
b'Let f be ((-14)/28)/((-2)/4). Suppose -2*d - 5*r = -3, 2*d + r - 8 + f = 0. What is the second derivative of 13*v**4 - 4*v**3 - 8*v + d*v**3 wrt v?\n' | b'156*v**2\n' | b'Let f be ((-14)/28)/((-2)/4). Suppose -2*d - 5*r = -3, 2*d + r - 8 + f = 0. What is the second derivative of 13*v**4 - 4*v**3 - 8*v + d*v**3 wrt v?\n' | b'156*v**2\n' | deepmind/math_dataset |
b'Let g = -17 + 7. Let s = 10 + g. Let z be (((-1197)/(-14))/9)/((-2)/(-4)). Solve 5*h + z = t, 3*t - 9 = -h - s*t for h.\n' | b'-3\n' | b'Let g = -17 + 7. Let s = 10 + g. Let z be (((-1197)/(-14))/9)/((-2)/(-4)). Solve 5*h + z = t, 3*t - 9 = -h - s*t for h.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xckiyrci. Give prob of picking 1 y and 1 x.\n' | b'1/28\n' | b'Two letters picked without replacement from xckiyrci. Give prob of picking 1 y and 1 x.\n' | b'1/28\n' | deepmind/math_dataset |
b'What is prob of picking 2 p when two letters picked without replacement from ypyppptpy?\n' | b'5/18\n' | b'What is prob of picking 2 p when two letters picked without replacement from ypyppptpy?\n' | b'5/18\n' | deepmind/math_dataset |
b'Simplify ((z**(-3)/((z/z**3)/z))/(z/(z/z**(-4/3))*((z*z**(-2/23))/z)/z))**(-1/2) assuming z is positive.\n' | b'z**(-167/138)\n' | b'Simplify ((z**(-3)/((z/z**3)/z))/(z/(z/z**(-4/3))*((z*z**(-2/23))/z)/z))**(-1/2) assuming z is positive.\n' | b'z**(-167/138)\n' | deepmind/math_dataset |
b'Let y(x) be the second derivative of -148*x**3/3 + 380*x**2 - 26*x. Differentiate y(i) wrt i.\n' | b'-296\n' | b'Let y(x) be the second derivative of -148*x**3/3 + 380*x**2 - 26*x. Differentiate y(i) wrt i.\n' | b'-296\n' | deepmind/math_dataset |
b'Let r(g) be the second derivative of -g**4/12 + 7*g**3/2 - 17*g**2 + 96*g. Let v be r(19). Solve a + 0 = -2*x - v, 0 = x + a for x.\n' | b'-4\n' | b'Let r(g) be the second derivative of -g**4/12 + 7*g**3/2 - 17*g**2 + 96*g. Let v be r(19). Solve a + 0 = -2*x - v, 0 = x + a for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (((y**3/y)/y)/((y*(y**(2/11)*y)/y)/y))**19/((y**(2/9)/y**(-6))/(y*y*y**(-4/9)/y*y*y*y**(3/4))) assuming y is positive.\n' | b'y**(1667/132)\n' | b'Simplify (((y**3/y)/y)/((y*(y**(2/11)*y)/y)/y))**19/((y**(2/9)/y**(-6))/(y*y*y**(-4/9)/y*y*y*y**(3/4))) assuming y is positive.\n' | b'y**(1667/132)\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 1 i when two letters picked without replacement from {u: 2, c: 1, r: 1, l: 3, i: 3, q: 7}?\n' | b'3/68\n' | b'What is prob of picking 1 u and 1 i when two letters picked without replacement from {u: 2, c: 1, r: 1, l: 3, i: 3, q: 7}?\n' | b'3/68\n' | deepmind/math_dataset |
b'Simplify (i*(i**24*i)/i*i*i**(2/31))/(i**(-2/3))**(2/3) assuming i is positive.\n' | b'i**(7396/279)\n' | b'Simplify (i*(i**24*i)/i*i*i**(2/31))/(i**(-2/3))**(2/3) assuming i is positive.\n' | b'i**(7396/279)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 7, z: 7}. What is prob of picking 2 n and 2 z?\n' | b'63/143\n' | b'Four letters picked without replacement from {n: 7, z: 7}. What is prob of picking 2 n and 2 z?\n' | b'63/143\n' | deepmind/math_dataset |
b'Let b(n) = 3*n + 22 - 2*n - 21. Let i be b(1). What is the first derivative of 5*h**2 + 7*h**2 - 7*h**2 - 21 + 0*h**i wrt h?\n' | b'10*h\n' | b'Let b(n) = 3*n + 22 - 2*n - 21. Let i be b(1). What is the first derivative of 5*h**2 + 7*h**2 - 7*h**2 - 21 + 0*h**i wrt h?\n' | b'10*h\n' | deepmind/math_dataset |
b'Let m be 21/7 + 41/1. Let k = m - 40. Let j(z) be the second derivative of -z**3/6 + 2*z**2 - 2*z. Determine j(k).\n' | b'0\n' | b'Let m be 21/7 + 41/1. Let k = m - 40. Let j(z) be the second derivative of -z**3/6 + 2*z**2 - 2*z. Determine j(k).\n' | b'0\n' | deepmind/math_dataset |
b'Let l(t) be the first derivative of t**5 - 7*t**4/4 + 2*t**3/3 + 210*t - 6293. Differentiate l(k) with respect to k.\n' | b'20*k**3 - 21*k**2 + 4*k\n' | b'Let l(t) be the first derivative of t**5 - 7*t**4/4 + 2*t**3/3 + 210*t - 6293. Differentiate l(k) with respect to k.\n' | b'20*k**3 - 21*k**2 + 4*k\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 3, n: 4, j: 9, e: 2}. Give prob of sequence xn.\n' | b'2/51\n' | b'Two letters picked without replacement from {x: 3, n: 4, j: 9, e: 2}. Give prob of sequence xn.\n' | b'2/51\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 1, d: 1, y: 3, x: 1, v: 1}. Give prob of sequence xy.\n' | b'1/14\n' | b'Two letters picked without replacement from {b: 1, d: 1, y: 3, x: 1, v: 1}. Give prob of sequence xy.\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose -5 = -u + 5*p, 11*u - 13*u + p = -10. Suppose w = 3*m + u*w + 4, 0 = -4*m - 5*w - 5. Solve m*x = 2*x - 5*f - 23, -3*f - 16 = x for x.\n' | b'-1\n' | b'Suppose -5 = -u + 5*p, 11*u - 13*u + p = -10. Suppose w = 3*m + u*w + 4, 0 = -4*m - 5*w - 5. Solve m*x = 2*x - 5*f - 23, -3*f - 16 = x for x.\n' | b'-1\n' | deepmind/math_dataset |
b'Let v(o) = -o**3 + 4. Let l be -3 + 6 - 4 - -1. Let z be v(l). Solve 16 = -2*b - 4*j, j = z*b + 4*j + 12 for b.\n' | b'0\n' | b'Let v(o) = -o**3 + 4. Let l be -3 + 6 - 4 - -1. Let z be v(l). Solve 16 = -2*b - 4*j, j = z*b + 4*j + 12 for b.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ggyyyygyyyggggyygggg. What is prob of picking 3 g and 1 y?\n' | b'99/323\n' | b'Four letters picked without replacement from ggyyyygyyyggggyygggg. What is prob of picking 3 g and 1 y?\n' | b'99/323\n' | deepmind/math_dataset |
b'Simplify (f*f*f**25*f*f**5)**(3/4) assuming f is positive.\n' | b'f**(99/4)\n' | b'Simplify (f*f*f**25*f*f**5)**(3/4) assuming f is positive.\n' | b'f**(99/4)\n' | deepmind/math_dataset |
b'Suppose 4*c - 480 = -2*s, 5*s = -c + 2*s + 130. Suppose -2*x = -68 - c. Find the second derivative of -84*q**5 - 3*q**3 - 6*q + 3*q**3 + x*q**5 wrt q.\n' | b'180*q**3\n' | b'Suppose 4*c - 480 = -2*s, 5*s = -c + 2*s + 130. Suppose -2*x = -68 - c. Find the second derivative of -84*q**5 - 3*q**3 - 6*q + 3*q**3 + x*q**5 wrt q.\n' | b'180*q**3\n' | deepmind/math_dataset |
b'Let r(i) be the first derivative of -2*i**3 + 0*i**3 + 16*i**5 + 2 - 15*i**5. What is the third derivative of r(p) wrt p?\n' | b'120*p\n' | b'Let r(i) be the first derivative of -2*i**3 + 0*i**3 + 16*i**5 + 2 - 15*i**5. What is the third derivative of r(p) wrt p?\n' | b'120*p\n' | deepmind/math_dataset |
b'Let t = -40 - -50. Solve c - v - 1 = 0, -3*c + t = 2*v - 8 for c.\n' | b'4\n' | b'Let t = -40 - -50. Solve c - v - 1 = 0, -3*c + t = 2*v - 8 for c.\n' | b'4\n' | deepmind/math_dataset |
b'Let g = -7 - -12. Suppose 5*z = -g, -105 = -5*m - 8*z + 3*z. Solve 3*c + 4*n - m = 0, 5*c - 1 - 1 = 2*n for c.\n' | b'2\n' | b'Let g = -7 - -12. Suppose 5*z = -g, -105 = -5*m - 8*z + 3*z. Solve 3*c + 4*n - m = 0, 5*c - 1 - 1 = 2*n for c.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -2*q = -4*m - 21 - 1, -3*m - 12 = 0. Suppose -q*l - p - 3*p = -8, -3*l + 36 = -3*p. Let d = 13 - l. Solve 4*h - 2*h - 2*k = -2, -3*h = d*k + 11 for h.\n' | b'-2\n' | b'Suppose -2*q = -4*m - 21 - 1, -3*m - 12 = 0. Suppose -q*l - p - 3*p = -8, -3*l + 36 = -3*p. Let d = 13 - l. Solve 4*h - 2*h - 2*k = -2, -3*h = d*k + 11 for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Let t(j) = -2*j**2 - j - 1. Let m(p) be the second derivative of -p**4/6 - 225*p. Let i(a) = -4*m(a) + 3*t(a). Determine i(3).\n' | b'6\n' | b'Let t(j) = -2*j**2 - j - 1. Let m(p) be the second derivative of -p**4/6 - 225*p. Let i(a) = -4*m(a) + 3*t(a). Determine i(3).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((j/(j*j**(1/4)))**(-31)*j**(-1)*j**(2/5))/((j/(j/(j**(1/2)*j)))**(1/45))**(-8) assuming j is positive.\n' | b'j**(89/12)\n' | b'Simplify ((j/(j*j**(1/4)))**(-31)*j**(-1)*j**(2/5))/((j/(j/(j**(1/2)*j)))**(1/45))**(-8) assuming j is positive.\n' | b'j**(89/12)\n' | deepmind/math_dataset |
b'Suppose -3*s = -3*v, 3*v - v - 2 = s. Let o = v + -1. Let l(h) = -2*h**3. Calculate l(o).\n' | b'-2\n' | b'Suppose -3*s = -3*v, 3*v - v - 2 = s. Let o = v + -1. Let l(h) = -2*h**3. Calculate l(o).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (x*x**(-18/13))/x**(1/30) assuming x is positive.\n' | b'x**(-163/390)\n' | b'Simplify (x*x**(-18/13))/x**(1/30) assuming x is positive.\n' | b'x**(-163/390)\n' | deepmind/math_dataset |
b'Let h(c) = -c**5 - c**4 + c**2 + 2*c + 1. Let g(m) = 54*m**5 + 4*m**4 - 5*m**2 - 12*m - 29. Let t(a) = g(a) + 5*h(a). Find the second derivative of t(q) wrt q.\n' | b'980*q**3 - 12*q**2\n' | b'Let h(c) = -c**5 - c**4 + c**2 + 2*c + 1. Let g(m) = 54*m**5 + 4*m**4 - 5*m**2 - 12*m - 29. Let t(a) = g(a) + 5*h(a). Find the second derivative of t(q) wrt q.\n' | b'980*q**3 - 12*q**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from oagggjaggjogagajjogg. Give prob of sequence gggg.\n' | b'42/1615\n' | b'Four letters picked without replacement from oagggjaggjogagajjogg. Give prob of sequence gggg.\n' | b'42/1615\n' | deepmind/math_dataset |
b'What is prob of sequence ppc when three letters picked without replacement from {c: 10, p: 9}?\n' | b'40/323\n' | b'What is prob of sequence ppc when three letters picked without replacement from {c: 10, p: 9}?\n' | b'40/323\n' | deepmind/math_dataset |
b'What is prob of sequence ly when two letters picked without replacement from lwy?\n' | b'1/6\n' | b'What is prob of sequence ly when two letters picked without replacement from lwy?\n' | b'1/6\n' | deepmind/math_dataset |
b'Suppose -2 = 2*j - m, 0*m + 3*m - 6 = -2*j. Solve j = h + 4*d, 2*h - d = d for h.\n' | b'0\n' | b'Suppose -2 = 2*j - m, 0*m + 3*m - 6 = -2*j. Solve j = h + 4*d, 2*h - d = d for h.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -5*q + 10 = -3*a - a, -3*q = -4*a + 2. Solve -c = 5, -5*s - c = -9 - q for s.\n' | b'4\n' | b'Suppose -5*q + 10 = -3*a - a, -3*q = -4*a + 2. Solve -c = 5, -5*s - c = -9 - q for s.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 1, g: 2, r: 2}. Give prob of picking 2 g and 2 r.\n' | b'1/5\n' | b'Four letters picked without replacement from {q: 1, g: 2, r: 2}. Give prob of picking 2 g and 2 r.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let g(m) be the third derivative of -13*m**7/105 - 23*m**4/24 - m**3/3 + 3*m**2 + 6*m. Find the second derivative of g(j) wrt j.\n' | b'-312*j**2\n' | b'Let g(m) be the third derivative of -13*m**7/105 - 23*m**4/24 - m**3/3 + 3*m**2 + 6*m. Find the second derivative of g(j) wrt j.\n' | b'-312*j**2\n' | deepmind/math_dataset |
b'Simplify ((k*k*k**(-2/31)/k*k**(-9))/((k**(-13/2)*k)/(k**19*k)))**(1/18) assuming k is positive.\n' | b'k**(1081/1116)\n' | b'Simplify ((k*k*k**(-2/31)/k*k**(-9))/((k**(-13/2)*k)/(k**19*k)))**(1/18) assuming k is positive.\n' | b'k**(1081/1116)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s, 1 f, and 1 x when three letters picked without replacement from {x: 4, s: 4, f: 1, m: 2}.\n' | b'16/165\n' | b'Calculate prob of picking 1 s, 1 f, and 1 x when three letters picked without replacement from {x: 4, s: 4, f: 1, m: 2}.\n' | b'16/165\n' | deepmind/math_dataset |
b'Let q(i) be the first derivative of 83*i**5/5 - 2766*i + 2446. What is the derivative of q(c) wrt c?\n' | b'332*c**3\n' | b'Let q(i) be the first derivative of 83*i**5/5 - 2766*i + 2446. What is the derivative of q(c) wrt c?\n' | b'332*c**3\n' | deepmind/math_dataset |
b'Let o(r) = -3*r - 34. Let z be o(-12). Let c be 10/z + (-5)/1. Solve i - 4 = c, -a = -5*i + i + 17 for a.\n' | b'-1\n' | b'Let o(r) = -3*r - 34. Let z be o(-12). Let c be 10/z + (-5)/1. Solve i - 4 = c, -a = -5*i + i + 17 for a.\n' | b'-1\n' | deepmind/math_dataset |
b'Let b(x) = x**2 - 97*x - 598. Let g be b(103). Let k(p) = -2*p**3 + 39*p**2 + 22*p - 33. What is k(g)?\n' | b'7\n' | b'Let b(x) = x**2 - 97*x - 598. Let g be b(103). Let k(p) = -2*p**3 + 39*p**2 + 22*p - 33. What is k(g)?\n' | b'7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 7, i: 3}. Give prob of sequence ik.\n' | b'7/30\n' | b'Two letters picked without replacement from {k: 7, i: 3}. Give prob of sequence ik.\n' | b'7/30\n' | deepmind/math_dataset |
b'Simplify (b**(4/17)*b)/b*b**(-10)*b**(12/5)/b*b/(b**18/b) assuming b is positive.\n' | b'b**(-2071/85)\n' | b'Simplify (b**(4/17)*b)/b*b**(-10)*b**(12/5)/b*b/(b**18/b) assuming b is positive.\n' | b'b**(-2071/85)\n' | deepmind/math_dataset |
b'Simplify ((n**16/(n/(n**(-4/3)*n*n)))/(n**(-4/13)*n**(2/39)))**(13/4) assuming n is positive.\n' | b'n**(207/4)\n' | b'Simplify ((n**16/(n/(n**(-4/3)*n*n)))/(n**(-4/13)*n**(2/39)))**(13/4) assuming n is positive.\n' | b'n**(207/4)\n' | deepmind/math_dataset |
b'Let m(i) = 55*i + 77*i - 124*i + 11. Give m(-3).\n' | b'-13\n' | b'Let m(i) = 55*i + 77*i - 124*i + 11. Give m(-3).\n' | b'-13\n' | deepmind/math_dataset |
b'Simplify (i*i/(i/(i**(-20)/i*i))*i*i)**3/(i**(-2/35))**15 assuming i is positive.\n' | b'i**(-351/7)\n' | b'Simplify (i*i/(i/(i**(-20)/i*i))*i*i)**3/(i**(-2/35))**15 assuming i is positive.\n' | b'i**(-351/7)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 2, t: 18}. What is prob of picking 3 t?\n' | b'68/95\n' | b'Three letters picked without replacement from {f: 2, t: 18}. What is prob of picking 3 t?\n' | b'68/95\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 4, c: 3, b: 5, f: 4, t: 3}. Give prob of sequence tc.\n' | b'1/38\n' | b'Two letters picked without replacement from {w: 4, c: 3, b: 5, f: 4, t: 3}. Give prob of sequence tc.\n' | b'1/38\n' | deepmind/math_dataset |
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