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'Four letters picked without replacement from {x: 4, f: 3, a: 9, l: 2}. What is prob of sequence lfxa?\n' | b'1/340\n' | b'Four letters picked without replacement from {x: 4, f: 3, a: 9, l: 2}. What is prob of sequence lfxa?\n' | b'1/340\n' | deepmind/math_dataset |
b'Suppose z = 4*d - d + 12, 0 = d + 3. Suppose 8 = 2*m - 0. Suppose m*j - 58 = -z*b, 2*j = -j + 3. Solve -2*q - 2*a - b = 0, 19 = -q - 2*a - a for q.\n' | b'-4\n' | b'Suppose z = 4*d - d + 12, 0 = d + 3. Suppose 8 = 2*m - 0. Suppose m*j - 58 = -z*b, 2*j = -j + 3. Solve -2*q - 2*a - b = 0, 19 = -q - 2*a - a for q.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence izow when four letters picked without replacement from uziow.\n' | b'1/120\n' | b'Calculate prob of sequence izow when four letters picked without replacement from uziow.\n' | b'1/120\n' | deepmind/math_dataset |
b'Let b be 0 + (-3 - (-24 - 2)). Suppose 0 = 2*n + 3*n - w + b, -3*w = n + 11. Let s(k) = 2*k + 3. Let i(v) = -5*v - 6. Let r(z) = n*s(z) - 3*i(z). What is r(-2)?\n' | b'-7\n' | b'Let b be 0 + (-3 - (-24 - 2)). Suppose 0 = 2*n + 3*n - w + b, -3*w = n + 11. Let s(k) = 2*k + 3. Let i(v) = -5*v - 6. Let r(z) = n*s(z) - 3*i(z). What is r(-2)?\n' | b'-7\n' | deepmind/math_dataset |
b'Let v(n) = n**2 + 11*n + 27. Let b be v(-4). Let k(g) = 8*g. Give k(b).\n' | b'-8\n' | b'Let v(n) = n**2 + 11*n + 27. Let b be v(-4). Let k(g) = 8*g. Give k(b).\n' | b'-8\n' | deepmind/math_dataset |
b'What is prob of picking 2 d when two letters picked without replacement from {l: 2, z: 2, n: 2, a: 4, d: 4}?\n' | b'6/91\n' | b'What is prob of picking 2 d when two letters picked without replacement from {l: 2, z: 2, n: 2, a: 4, d: 4}?\n' | b'6/91\n' | deepmind/math_dataset |
b'Suppose 0 = -4*s + 3 + 5. Let t(x) = 2 - x - s*x + 5*x. Let o be (-2 + (-2)/4)/((-31)/(-62)). Calculate t(o).\n' | b'-8\n' | b'Suppose 0 = -4*s + 3 + 5. Let t(x) = 2 - x - s*x + 5*x. Let o be (-2 + (-2)/4)/((-31)/(-62)). Calculate t(o).\n' | b'-8\n' | deepmind/math_dataset |
b'Suppose -7*x = -11*x + 12. Suppose 5*u + o = 22, 2*u + x*o = 4*u - 19. Find the second derivative of 5*y**u - 7*y**5 + 3*y - y + 4*y**5 wrt y.\n' | b'40*y**3\n' | b'Suppose -7*x = -11*x + 12. Suppose 5*u + o = 22, 2*u + x*o = 4*u - 19. Find the second derivative of 5*y**u - 7*y**5 + 3*y - y + 4*y**5 wrt y.\n' | b'40*y**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pxfxxffxxxfxxfp. What is prob of picking 1 f and 1 p?\n' | b'2/21\n' | b'Two letters picked without replacement from pxfxxffxxxfxxfp. What is prob of picking 1 f and 1 p?\n' | b'2/21\n' | deepmind/math_dataset |
b'Let f = 3796 - 3788. Let s(d) be the first derivative of 8/5*d**5 + 0*d**4 + 17 + 0*d + 0*d**2 - f*d**3. What is the third derivative of s(x) wrt x?\n' | b'192*x\n' | b'Let f = 3796 - 3788. Let s(d) be the first derivative of 8/5*d**5 + 0*d**4 + 17 + 0*d + 0*d**2 - f*d**3. What is the third derivative of s(x) wrt x?\n' | b'192*x\n' | deepmind/math_dataset |
b'Let m(q) = -q**2 - 5*q - 6. Suppose -4*g = -0*g - 12. Suppose 0*d - 6 = g*d. Let c(i) = -4*i**2 - 20*i - 25. Let r(s) = d*c(s) + 9*m(s). What is r(-3)?\n' | b'2\n' | b'Let m(q) = -q**2 - 5*q - 6. Suppose -4*g = -0*g - 12. Suppose 0*d - 6 = g*d. Let c(i) = -4*i**2 - 20*i - 25. Let r(s) = d*c(s) + 9*m(s). What is r(-3)?\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 6, n: 13}. Give prob of sequence znnn.\n' | b'143/1292\n' | b'Four letters picked without replacement from {z: 6, n: 13}. Give prob of sequence znnn.\n' | b'143/1292\n' | deepmind/math_dataset |
b'Let t(x) be the first derivative of 1/3*x**3 - 3 + 4*x - 2*x**2. Calculate t(3).\n' | b'1\n' | b'Let t(x) be the first derivative of 1/3*x**3 - 3 + 4*x - 2*x**2. Calculate t(3).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (m*m**(-2/9))**(-2/83)*(m*m*m/(m**1*m)*m*m*m)**(4/5) assuming m is positive.\n' | b'm**(11882/3735)\n' | b'Simplify (m*m**(-2/9))**(-2/83)*(m*m*m/(m**1*m)*m*m*m)**(4/5) assuming m is positive.\n' | b'm**(11882/3735)\n' | deepmind/math_dataset |
b'Let t(q) be the first derivative of 8*q**4 + 183*q - 128. What is the derivative of t(l) wrt l?\n' | b'96*l**2\n' | b'Let t(q) be the first derivative of 8*q**4 + 183*q - 128. What is the derivative of t(l) wrt l?\n' | b'96*l**2\n' | deepmind/math_dataset |
b'Let z = 39005 + -38978. Solve -9*o = z, 21 = -5*g + 4*o - o for g.\n' | b'-6\n' | b'Let z = 39005 + -38978. Solve -9*o = z, 21 = -5*g + 4*o - o for g.\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 e when two letters picked without replacement from eeeeeee.\n' | b'1\n' | b'Calculate prob of picking 2 e when two letters picked without replacement from eeeeeee.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 k when two letters picked without replacement from {k: 5, f: 2}.\n' | b'10/21\n' | b'Calculate prob of picking 2 k when two letters picked without replacement from {k: 5, f: 2}.\n' | b'10/21\n' | deepmind/math_dataset |
b'Simplify (u*u**(-2/69)*(u*u**22/u)/u)**(1/78) assuming u is positive.\n' | b'u**(758/2691)\n' | b'Simplify (u*u**(-2/69)*(u*u**22/u)/u)**(1/78) assuming u is positive.\n' | b'u**(758/2691)\n' | deepmind/math_dataset |
b'Calculate prob of sequence mo when two letters picked without replacement from {y: 3, m: 1, j: 6, o: 3, l: 2}.\n' | b'1/70\n' | b'Calculate prob of sequence mo when two letters picked without replacement from {y: 3, m: 1, j: 6, o: 3, l: 2}.\n' | b'1/70\n' | deepmind/math_dataset |
b'Let g(w) be the second derivative of 11/20*w**5 - 4*w**2 + 0*w**3 + 0 + 0*w**4 + 6*w. What is the derivative of g(o) wrt o?\n' | b'33*o**2\n' | b'Let g(w) be the second derivative of 11/20*w**5 - 4*w**2 + 0*w**3 + 0 + 0*w**4 + 6*w. What is the derivative of g(o) wrt o?\n' | b'33*o**2\n' | deepmind/math_dataset |
b'Let p(g) be the second derivative of 0*g**5 + 4*g + 0*g**3 - 1/2*g**2 + 0 + 0*g**4 - 2/15*g**6. Differentiate p(f) wrt f.\n' | b'-16*f**3\n' | b'Let p(g) be the second derivative of 0*g**5 + 4*g + 0*g**3 - 1/2*g**2 + 0 + 0*g**4 - 2/15*g**6. Differentiate p(f) wrt f.\n' | b'-16*f**3\n' | deepmind/math_dataset |
b'Simplify (n*n/(n**0/n))**20*(n**(-1/11)*n)/n*(n*(n**(-2/25)/n)/n)/n assuming n is positive.\n' | b'n**(15903/275)\n' | b'Simplify (n*n/(n**0/n))**20*(n**(-1/11)*n)/n*(n*(n**(-2/25)/n)/n)/n assuming n is positive.\n' | b'n**(15903/275)\n' | deepmind/math_dataset |
b'Let u(a) = -10*a**3 - a**2 - 2*a - 2. Let h = 2 + -1. Let l(d) = -116*d**3 - h + 2 + d + 117*d**3. Let k(t) = -2*l(t) - u(t). What is k(-1)?\n' | b'-7\n' | b'Let u(a) = -10*a**3 - a**2 - 2*a - 2. Let h = 2 + -1. Let l(d) = -116*d**3 - h + 2 + d + 117*d**3. Let k(t) = -2*l(t) - u(t). What is k(-1)?\n' | b'-7\n' | deepmind/math_dataset |
b'Let i(v) = -v**2 - v. Let g(h) = -103*h**4 - 5*h**2 - 3*h - 9. Let q(p) = -g(p) + 5*i(p). Find the second derivative of q(j) wrt j.\n' | b'1236*j**2\n' | b'Let i(v) = -v**2 - v. Let g(h) = -103*h**4 - 5*h**2 - 3*h - 9. Let q(p) = -g(p) + 5*i(p). Find the second derivative of q(j) wrt j.\n' | b'1236*j**2\n' | deepmind/math_dataset |
b'Simplify (d**6/d*d*d**(-2/17)*d)**(-22) assuming d is positive.\n' | b'd**(-2574/17)\n' | b'Simplify (d**6/d*d*d**(-2/17)*d)**(-22) assuming d is positive.\n' | b'd**(-2574/17)\n' | deepmind/math_dataset |
b'Simplify ((m*m/(m/m**(3/4))*m)/m)/m**(-2/11)*m/m**(-2)*(m/((m*m/(m**(-3)*m))/m))/m assuming m is positive.\n' | b'm**(85/44)\n' | b'Simplify ((m*m/(m/m**(3/4))*m)/m)/m**(-2/11)*m/m**(-2)*(m/((m*m/(m**(-3)*m))/m))/m assuming m is positive.\n' | b'm**(85/44)\n' | deepmind/math_dataset |
b'What is the derivative of 11*k**4 + 7 - 28*k**4 + 16*k**4 wrt k?\n' | b'-4*k**3\n' | b'What is the derivative of 11*k**4 + 7 - 28*k**4 + 16*k**4 wrt k?\n' | b'-4*k**3\n' | deepmind/math_dataset |
b'Let m(f) = 3*f - 1. Let g(v) = -v**3 + 7*v**2 - 5*v - 5. Let o be (-3)/(-15) - 58/(-10). Let r be g(o). What is m(r)?\n' | b'2\n' | b'Let m(f) = 3*f - 1. Let g(v) = -v**3 + 7*v**2 - 5*v - 5. Let o be (-3)/(-15) - 58/(-10). Let r be g(o). What is m(r)?\n' | b'2\n' | deepmind/math_dataset |
b'Let f(m) = m**3 + 4*m**2 - 5*m + 3. Let r be (-3)/((-4)/((-16)/(-3))). Let t be 1 + 3*(2 - r). Let z be f(t). Solve -5*y = -x - 3, 2*y - z*x - 15 = 2*x for y.\n' | b'0\n' | b'Let f(m) = m**3 + 4*m**2 - 5*m + 3. Let r be (-3)/((-4)/((-16)/(-3))). Let t be 1 + 3*(2 - r). Let z be f(t). Solve -5*y = -x - 3, 2*y - z*x - 15 = 2*x for y.\n' | b'0\n' | deepmind/math_dataset |
b'Let i(b) = 2*b**4 - b**3 + b**2 - b. Let a(y) = 7*y**4 - 4*y**3 + 4*y**2 + 188*y - 240. Let d(r) = -a(r) + 4*i(r). Find the first derivative of d(q) wrt q.\n' | b'4*q**3 - 192\n' | b'Let i(b) = 2*b**4 - b**3 + b**2 - b. Let a(y) = 7*y**4 - 4*y**3 + 4*y**2 + 188*y - 240. Let d(r) = -a(r) + 4*i(r). Find the first derivative of d(q) wrt q.\n' | b'4*q**3 - 192\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c and 2 v when four letters picked without replacement from vkkvkckkckvkvvkkkkv.\n' | b'5/1292\n' | b'Calculate prob of picking 2 c and 2 v when four letters picked without replacement from vkkvkckkckvkvvkkkkv.\n' | b'5/1292\n' | deepmind/math_dataset |
b'Let t(c) = -c - 20. Let n be t(-20). Solve o + 6 = 5*o - r, -2*o - 4*r + 12 = n for o.\n' | b'2\n' | b'Let t(c) = -c - 20. Let n be t(-20). Solve o + 6 = 5*o - r, -2*o - 4*r + 12 = n for o.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from thvxa. What is prob of sequence tax?\n' | b'1/60\n' | b'Three letters picked without replacement from thvxa. What is prob of sequence tax?\n' | b'1/60\n' | deepmind/math_dataset |
b'What is prob of picking 2 v when two letters picked without replacement from {v: 3, p: 4}?\n' | b'1/7\n' | b'What is prob of picking 2 v when two letters picked without replacement from {v: 3, p: 4}?\n' | b'1/7\n' | deepmind/math_dataset |
b'Let c be 20/(-4)*8/(-20). Solve 5*s + 6 = -c*k - 0*s, k + 2*s = -3 for k.\n' | b'-3\n' | b'Let c be 20/(-4)*8/(-20). Solve 5*s + 6 = -c*k - 0*s, k + 2*s = -3 for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -26 - 28 = 3*x - 12*x. Solve -3*b + x*i = 5*i - 10, -2*b + 5 = -i for b.\n' | b'5\n' | b'Suppose -26 - 28 = 3*x - 12*x. Solve -3*b + x*i = 5*i - 10, -2*b + 5 = -i for b.\n' | b'5\n' | deepmind/math_dataset |
b'Let l(j) = 9*j. Let f be l(1). Let b(h) = -h + 13. Let g be b(f). Solve 5*q = -g*d - 14 + 1, -4*q - d - 6 = 0 for q.\n' | b'-1\n' | b'Let l(j) = 9*j. Let f be l(1). Let b(h) = -h + 13. Let g be b(f). Solve 5*q = -g*d - 14 + 1, -4*q - d - 6 = 0 for q.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 m when three letters picked without replacement from {m: 4, s: 3}.\n' | b'4/35\n' | b'Calculate prob of picking 3 m when three letters picked without replacement from {m: 4, s: 3}.\n' | b'4/35\n' | deepmind/math_dataset |
b'What is the first derivative of -2 - 298*b**2 - 78*b**2 + 9 - 3*b**3 + 81 + 21 wrt b?\n' | b'-9*b**2 - 752*b\n' | b'What is the first derivative of -2 - 298*b**2 - 78*b**2 + 9 - 3*b**3 + 81 + 21 wrt b?\n' | b'-9*b**2 - 752*b\n' | deepmind/math_dataset |
b'Let x(i) = 42*i - 34. Let s(w) = 43*w - 34. Let q(a) = 3*s(a) - 2*x(a). What is the derivative of q(b) wrt b?\n' | b'45\n' | b'Let x(i) = 42*i - 34. Let s(w) = 43*w - 34. Let q(a) = 3*s(a) - 2*x(a). What is the derivative of q(b) wrt b?\n' | b'45\n' | deepmind/math_dataset |
b'Let z(h) = 21*h**3 + 2*h**2 + 2*h - 3. Let u(s) = 20*s**2 - 63*s + 10. Let r be u(3). Determine z(r).\n' | b'22\n' | b'Let z(h) = 21*h**3 + 2*h**2 + 2*h - 3. Let u(s) = 20*s**2 - 63*s + 10. Let r be u(3). Determine z(r).\n' | b'22\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rtpttse. What is prob of picking 1 e and 1 t?\n' | b'1/7\n' | b'Two letters picked without replacement from rtpttse. What is prob of picking 1 e and 1 t?\n' | b'1/7\n' | deepmind/math_dataset |
b'Simplify (x/(x**(-3)*x))**(-16/7)*x*x**(1/19)*x*x*x*x**(11/5) assuming x is positive.\n' | b'x**(-402/665)\n' | b'Simplify (x/(x**(-3)*x))**(-16/7)*x*x**(1/19)*x*x*x*x**(11/5) assuming x is positive.\n' | b'x**(-402/665)\n' | deepmind/math_dataset |
b'Simplify (z/z**(-2/43)*z/((z**(-1/10)*z)/z))/(z*z*z/(z*z*(z**(-15)*z)/z)*z*z**(-1/4)*z) assuming z is positive.\n' | b'z**(-13419/860)\n' | b'Simplify (z/z**(-2/43)*z/((z**(-1/10)*z)/z))/(z*z*z/(z*z*(z**(-15)*z)/z)*z*z**(-1/4)*z) assuming z is positive.\n' | b'z**(-13419/860)\n' | deepmind/math_dataset |
b'Let f(b) be the third derivative of 107*b**9/42 + b**5/20 - 9*b**4/4 + 565*b**2. What is the third derivative of f(q) wrt q?\n' | b'154080*q**3\n' | b'Let f(b) be the third derivative of 107*b**9/42 + b**5/20 - 9*b**4/4 + 565*b**2. What is the third derivative of f(q) wrt q?\n' | b'154080*q**3\n' | deepmind/math_dataset |
b'Simplify (((z**(2/11)/z)/z*z**(-5/6))/((z*z**(-2/3))/z)**31)**(-12) assuming z is positive.\n' | b'z**(-2378/11)\n' | b'Simplify (((z**(2/11)/z)/z*z**(-5/6))/((z*z**(-2/3))/z)**31)**(-12) assuming z is positive.\n' | b'z**(-2378/11)\n' | deepmind/math_dataset |
b'Find the second derivative of 2684*z**3 - 349*z**3 - 1076*z**3 + 1558*z + 5608*z**3 + 1289*z wrt z.\n' | b'41202*z\n' | b'Find the second derivative of 2684*z**3 - 349*z**3 - 1076*z**3 + 1558*z + 5608*z**3 + 1289*z wrt z.\n' | b'41202*z\n' | deepmind/math_dataset |
b'Simplify (((n*n*(n*n**0)/n)/n)**(-20)*(n**(3/7)/n)/n*n/(n/n**(2/17)))/(n*n**(-1/7)/n*n/(n/n**(-4/3))*n**4/n**(2/9)) assuming n is positive.\n' | b'n**(-25442/1071)\n' | b'Simplify (((n*n*(n*n**0)/n)/n)**(-20)*(n**(3/7)/n)/n*n/(n/n**(2/17)))/(n*n**(-1/7)/n*n/(n/n**(-4/3))*n**4/n**(2/9)) assuming n is positive.\n' | b'n**(-25442/1071)\n' | deepmind/math_dataset |
b'Simplify (((b/b**(-2/27))/b)/b**0*(b**1)**(-8/11))/((b/((b*b/(b**(-1/4)/b))/b*b))/(b/(b*b/(b/(b**(-7/2)*b))))*(b**(2/7))**17) assuming b is positive.\n' | b'b**(-6323/8316)\n' | b'Simplify (((b/b**(-2/27))/b)/b**0*(b**1)**(-8/11))/((b/((b*b/(b**(-1/4)/b))/b*b))/(b/(b*b/(b/(b**(-7/2)*b))))*(b**(2/7))**17) assuming b is positive.\n' | b'b**(-6323/8316)\n' | deepmind/math_dataset |
b'Simplify (x**1)**(-11/4)/((x/x**(-1/5))/x**(-1/5))*((x**(-1)*x)**(-1/71))**(-12) assuming x is positive.\n' | b'x**(-83/20)\n' | b'Simplify (x**1)**(-11/4)/((x/x**(-1/5))/x**(-1/5))*((x**(-1)*x)**(-1/71))**(-12) assuming x is positive.\n' | b'x**(-83/20)\n' | deepmind/math_dataset |
b'Let i(t) = 5*t**4 + 3. Let s be (-2)/6 + 2/(-3). Let c(m) = m**4 - m + 1. Let v(w) = s*i(w) + 3*c(w). Find the second derivative of v(f) wrt f.\n' | b'-24*f**2\n' | b'Let i(t) = 5*t**4 + 3. Let s be (-2)/6 + 2/(-3). Let c(m) = m**4 - m + 1. Let v(w) = s*i(w) + 3*c(w). Find the second derivative of v(f) wrt f.\n' | b'-24*f**2\n' | deepmind/math_dataset |
b'Suppose c = 2*n - 6, -8*c + 6*c = 0. Solve -3*i + 6 = -4*z + z, 2*i - n*z - 5 = 0 for i.\n' | b'1\n' | b'Suppose c = 2*n - 6, -8*c + 6*c = 0. Solve -3*i + 6 = -4*z + z, 2*i - n*z - 5 = 0 for i.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lddddlld. Give prob of sequence ddll.\n' | b'1/14\n' | b'Four letters picked without replacement from lddddlld. Give prob of sequence ddll.\n' | b'1/14\n' | deepmind/math_dataset |
b'Four letters picked without replacement from fcccccfcccffcc. What is prob of picking 4 c?\n' | b'30/143\n' | b'Four letters picked without replacement from fcccccfcccffcc. What is prob of picking 4 c?\n' | b'30/143\n' | deepmind/math_dataset |
b'Let a = -33 + 38. What is the second derivative of -2*h**a + 125*h - 107*h - 21*h**5 wrt h?\n' | b'-460*h**3\n' | b'Let a = -33 + 38. What is the second derivative of -2*h**a + 125*h - 107*h - 21*h**5 wrt h?\n' | b'-460*h**3\n' | deepmind/math_dataset |
b'What is prob of picking 2 k, 1 d, and 1 r when four letters picked without replacement from frdfdkkkrddkdddkdd?\n' | b'1/17\n' | b'What is prob of picking 2 k, 1 d, and 1 r when four letters picked without replacement from frdfdkkkrddkdddkdd?\n' | b'1/17\n' | deepmind/math_dataset |
b'Let s(o) be the second derivative of o**5/20 - o**4/4 - o**3/6 - o**2/2 - o. Suppose 5*g + 5*y - 27 = y, 12 = 5*g - y. Give s(g).\n' | b'-4\n' | b'Let s(o) be the second derivative of o**5/20 - o**4/4 - o**3/6 - o**2/2 - o. Suppose 5*g + 5*y - 27 = y, 12 = 5*g - y. Give s(g).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((i**(-5))**(-16))**(-19) assuming i is positive.\n' | b'i**(-1520)\n' | b'Simplify ((i**(-5))**(-16))**(-19) assuming i is positive.\n' | b'i**(-1520)\n' | deepmind/math_dataset |
b'Let p(w) = -257*w**3 - 236*w**2 + 5*w + 5. Let c(z) = 642*z**3 + 590*z**2 - 12*z - 12. Let d(a) = -5*c(a) - 12*p(a). What is the third derivative of d(t) wrt t?\n' | b'-756\n' | b'Let p(w) = -257*w**3 - 236*w**2 + 5*w + 5. Let c(z) = 642*z**3 + 590*z**2 - 12*z - 12. Let d(a) = -5*c(a) - 12*p(a). What is the third derivative of d(t) wrt t?\n' | b'-756\n' | deepmind/math_dataset |
b'Suppose 3*j + 23*j - 156 = 0. Solve -2*m + 2 = -r - 2, -j = -2*m for r.\n' | b'2\n' | b'Suppose 3*j + 23*j - 156 = 0. Solve -2*m + 2 = -r - 2, -j = -2*m for r.\n' | b'2\n' | deepmind/math_dataset |
b'Let p(g) = -g**2 - g - 1. Suppose 5*f + 2*v = -2*v + 74, 2*f = -v + 32. Let b be (-27)/f*(3 + -1). Give p(b).\n' | b'-7\n' | b'Let p(g) = -g**2 - g - 1. Suppose 5*f + 2*v = -2*v + 74, 2*f = -v + 32. Let b be (-27)/f*(3 + -1). Give p(b).\n' | b'-7\n' | deepmind/math_dataset |
b'Let r(c) = 1 + 4 + 37*c**2 - 12*c**2. Let o(i) = -24*i**2 - 6. Let b(v) = -4*o(v) - 3*r(v). What is the first derivative of b(n) wrt n?\n' | b'42*n\n' | b'Let r(c) = 1 + 4 + 37*c**2 - 12*c**2. Let o(i) = -24*i**2 - 6. Let b(v) = -4*o(v) - 3*r(v). What is the first derivative of b(n) wrt n?\n' | b'42*n\n' | deepmind/math_dataset |
b'Let r be (18/(-21))/(-3 - (-375)/126). Suppose 15*z - r = 6*z. Solve -2*v + 22 = -3*y, 0 = -y + 3*y - z*v + 28 for y.\n' | b'-4\n' | b'Let r be (18/(-21))/(-3 - (-375)/126). Suppose 15*z - r = 6*z. Solve -2*v + 22 = -3*y, 0 = -y + 3*y - z*v + 28 for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify d**(2/7)*d**(5/3) assuming d is positive.\n' | b'd**(41/21)\n' | b'Simplify d**(2/7)*d**(5/3) assuming d is positive.\n' | b'd**(41/21)\n' | deepmind/math_dataset |
b'What is prob of sequence gzz when three letters picked without replacement from zgz?\n' | b'1/3\n' | b'What is prob of sequence gzz when three letters picked without replacement from zgz?\n' | b'1/3\n' | deepmind/math_dataset |
b'Suppose -4*l = -5*m, 3*l - m - 3 = 2*m. Let a(n) be the second derivative of -1/20*n**l - 7/2*n**2 + 1/2*n**4 + 0 + 16*n - n**3. Determine a(5).\n' | b'-12\n' | b'Suppose -4*l = -5*m, 3*l - m - 3 = 2*m. Let a(n) be the second derivative of -1/20*n**l - 7/2*n**2 + 1/2*n**4 + 0 + 16*n - n**3. Determine a(5).\n' | b'-12\n' | deepmind/math_dataset |
b'Simplify ((u*u**(2/19))/u*u*u/(u*u**10))**(-4) assuming u is positive.\n' | b'u**(676/19)\n' | b'Simplify ((u*u**(2/19))/u*u*u/(u*u**10))**(-4) assuming u is positive.\n' | b'u**(676/19)\n' | deepmind/math_dataset |
b'Let f = 167 - 165. Let c be 759/184 + f/(-16). Solve -c = 2*o + 4*s, 2*o = 4*s + 5 + 7 for o.\n' | b'2\n' | b'Let f = 167 - 165. Let c be 759/184 + f/(-16). Solve -c = 2*o + 4*s, 2*o = 4*s + 5 + 7 for o.\n' | b'2\n' | deepmind/math_dataset |
b'Let m(b) = b**3 - b**2 + 1. Suppose 3*j - 6 = -d - 15, 3*d = 3*j - 15. Give m(j).\n' | b'-1\n' | b'Let m(b) = b**3 - b**2 + 1. Suppose 3*j - 6 = -d - 15, 3*d = 3*j - 15. Give m(j).\n' | b'-1\n' | deepmind/math_dataset |
b'Let x(b) be the third derivative of 5*b**7/14 + b**5/60 - 6245*b**3/6 - 414*b**2. Find the first derivative of x(p) wrt p.\n' | b'300*p**3 + 2*p\n' | b'Let x(b) be the third derivative of 5*b**7/14 + b**5/60 - 6245*b**3/6 - 414*b**2. Find the first derivative of x(p) wrt p.\n' | b'300*p**3 + 2*p\n' | deepmind/math_dataset |
b'Calculate prob of sequence jj when two letters picked without replacement from {j: 2, d: 10}.\n' | b'1/66\n' | b'Calculate prob of sequence jj when two letters picked without replacement from {j: 2, d: 10}.\n' | b'1/66\n' | deepmind/math_dataset |
b'Suppose 8*b + 16 = 34 + 150. Solve -3*l + 20*m - 10 = b*m, 3*l - 2*m + 16 = 0 for l.\n' | b'-4\n' | b'Suppose 8*b + 16 = 34 + 150. Solve -3*l + 20*m - 10 = b*m, 3*l - 2*m + 16 = 0 for l.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((n**(3/8)/n)/(n**(-2)/n))**(1/15) assuming n is positive.\n' | b'n**(19/120)\n' | b'Simplify ((n**(3/8)/n)/(n**(-2)/n))**(1/15) assuming n is positive.\n' | b'n**(19/120)\n' | deepmind/math_dataset |
b'Let z = -1 + 1. Let p be (-16)/28*21/(-6). Suppose x = f + 1, -5*f + p*x + 1 = -x. Solve f*y - 1 - 1 = -h, z = 4*y - 5*h - 4 for y.\n' | b'1\n' | b'Let z = -1 + 1. Let p be (-16)/28*21/(-6). Suppose x = f + 1, -5*f + p*x + 1 = -x. Solve f*y - 1 - 1 = -h, z = 4*y - 5*h - 4 for y.\n' | b'1\n' | deepmind/math_dataset |
b'What is the third derivative of 1536*n**2 - 13 - 22*n + 288*n**4 + 22*n - 1547*n**2 wrt n?\n' | b'6912*n\n' | b'What is the third derivative of 1536*n**2 - 13 - 22*n + 288*n**4 + 22*n - 1547*n**2 wrt n?\n' | b'6912*n\n' | deepmind/math_dataset |
b'Simplify ((s*s**(2/7))/(s*s/(s**(-2)/s)))/(((s**(-5)/s)/s*s)/s**(1/5)) assuming s is positive.\n' | b's**(87/35)\n' | b'Simplify ((s*s**(2/7))/(s*s/(s**(-2)/s)))/(((s**(-5)/s)/s*s)/s**(1/5)) assuming s is positive.\n' | b's**(87/35)\n' | deepmind/math_dataset |
b'Let l be ((-9)/3 - -1)*-2. Suppose 3*z - t + l = 3*t, 4*z - 2*t = -2. Suppose z - 10 = -5*v. Solve -q - 2*h + 12 = 4*q, -2 = -v*h for q.\n' | b'2\n' | b'Let l be ((-9)/3 - -1)*-2. Suppose 3*z - t + l = 3*t, 4*z - 2*t = -2. Suppose z - 10 = -5*v. Solve -q - 2*h + 12 = 4*q, -2 = -v*h for q.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ubffbbbubufgububgub. What is prob of picking 1 u and 1 g?\n' | b'4/57\n' | b'Two letters picked without replacement from ubffbbbubufgububgub. What is prob of picking 1 u and 1 g?\n' | b'4/57\n' | deepmind/math_dataset |
b'What is prob of sequence xxp when three letters picked without replacement from {x: 11, p: 2}?\n' | b'5/39\n' | b'What is prob of sequence xxp when three letters picked without replacement from {x: 11, p: 2}?\n' | b'5/39\n' | deepmind/math_dataset |
b'Simplify ((j*(j/(j**(1/5)*j*j*j*j))/j*j)/j)/j**(-10) assuming j is positive.\n' | b'j**(34/5)\n' | b'Simplify ((j*(j/(j**(1/5)*j*j*j*j))/j*j)/j)/j**(-10) assuming j is positive.\n' | b'j**(34/5)\n' | deepmind/math_dataset |
b'Let i be (-3*1)/(3/(-8)). Let d(x) = 2*x**2 + x + 4. Let l(f) = -5*f**2 - 4*f - 11. Let c(a) = i*d(a) + 3*l(a). Suppose 22 = 20*b + 8*b - 34. Give c(b).\n' | b'-5\n' | b'Let i be (-3*1)/(3/(-8)). Let d(x) = 2*x**2 + x + 4. Let l(f) = -5*f**2 - 4*f - 11. Let c(a) = i*d(a) + 3*l(a). Suppose 22 = 20*b + 8*b - 34. Give c(b).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose f = 4*t - f - 16, -4*f + 20 = 5*t. Suppose t*g + 10 = 26. Let r be -2 + -1 + 5 - 1. Solve 0 = -5*y - o + r, g*y - o - 10 = -2 for y.\n' | b'1\n' | b'Suppose f = 4*t - f - 16, -4*f + 20 = 5*t. Suppose t*g + 10 = 26. Let r be -2 + -1 + 5 - 1. Solve 0 = -5*y - o + r, g*y - o - 10 = -2 for y.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 0 = h + 1 - 6. Let v be 5/(-40)*-28 - (-9)/(-6). Let t be -6 + 6 + (6 - v). Solve w = 0, -h*w + 20 = -t*z - w for z.\n' | b'-5\n' | b'Suppose 0 = h + 1 - 6. Let v be 5/(-40)*-28 - (-9)/(-6). Let t be -6 + 6 + (6 - v). Solve w = 0, -h*w + 20 = -t*z - w for z.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (n**(-1/9)*n/(n/(n*n*n/(n*n*n/(n/n**2)))))/(n**(-3/17)*n**1*n) assuming n is positive.\n' | b'n**(-449/153)\n' | b'Simplify (n**(-1/9)*n/(n/(n*n*n/(n*n*n/(n/n**2)))))/(n**(-3/17)*n**1*n) assuming n is positive.\n' | b'n**(-449/153)\n' | deepmind/math_dataset |
b'Let l(v) = 13*v + 1. Let i be 4 + (-1 - (4 + 0)). What is l(i)?\n' | b'-12\n' | b'Let l(v) = 13*v + 1. Let i be 4 + (-1 - (4 + 0)). What is l(i)?\n' | b'-12\n' | deepmind/math_dataset |
b'Suppose 0 = 5*m - m - 3*f - 81, -5*m - 5*f = -145. Solve 6*x + i = x - m, 4*i + 8 = 2*x for x.\n' | b'-4\n' | b'Suppose 0 = 5*m - m - 3*f - 81, -5*m - 5*f = -145. Solve 6*x + i = x - m, 4*i + 8 = 2*x for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((h/(h**14/h))/h*h)/(h**(11/7)/h) assuming h is positive.\n' | b'h**(-88/7)\n' | b'Simplify ((h/(h**14/h))/h*h)/(h**(11/7)/h) assuming h is positive.\n' | b'h**(-88/7)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 8, z: 7, r: 5}. What is prob of sequence wrzr?\n' | b'28/2907\n' | b'Four letters picked without replacement from {w: 8, z: 7, r: 5}. What is prob of sequence wrzr?\n' | b'28/2907\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 1, w: 2, a: 1}. Give prob of sequence kaw.\n' | b'1/12\n' | b'Three letters picked without replacement from {k: 1, w: 2, a: 1}. Give prob of sequence kaw.\n' | b'1/12\n' | deepmind/math_dataset |
b'Let r(m) = -m**3 - 4*m**2 + 4*m + 2. Let s(j) = -j - 21. Let g be s(-16). Calculate r(g).\n' | b'7\n' | b'Let r(m) = -m**3 - 4*m**2 + 4*m + 2. Let s(j) = -j - 21. Let g be s(-16). Calculate r(g).\n' | b'7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bbbbbbbbb. Give prob of sequence bbb.\n' | b'1\n' | b'Three letters picked without replacement from bbbbbbbbb. Give prob of sequence bbb.\n' | b'1\n' | deepmind/math_dataset |
b'Let a(o) = 17*o**3 - 11*o**2. Let s(m) = 9*m**3 - 6*m**2. Let d(v) = -2*a(v) + 5*s(v). What is the third derivative of d(y) wrt y?\n' | b'66\n' | b'Let a(o) = 17*o**3 - 11*o**2. Let s(m) = 9*m**3 - 6*m**2. Let d(v) = -2*a(v) + 5*s(v). What is the third derivative of d(y) wrt y?\n' | b'66\n' | deepmind/math_dataset |
b'Let t be (-1 + -1)/((-9)/(-18)). Let h be -2 + -5*t/10. What is the derivative of h*k**2 + 3*k**2 + 6 + 2*k**2 wrt k?\n' | b'10*k\n' | b'Let t be (-1 + -1)/((-9)/(-18)). Let h be -2 + -5*t/10. What is the derivative of h*k**2 + 3*k**2 + 6 + 2*k**2 wrt k?\n' | b'10*k\n' | deepmind/math_dataset |
b'Let c(z) = z**2 - 2*z + 4. Let b be c(5). Find the second derivative of -21 - d**5 - d + 40 - b wrt d.\n' | b'-20*d**3\n' | b'Let c(z) = z**2 - 2*z + 4. Let b be c(5). Find the second derivative of -21 - d**5 - d + 40 - b wrt d.\n' | b'-20*d**3\n' | deepmind/math_dataset |
b'Let w(b) be the second derivative of 19*b**7/14 + b**4/4 + 10*b**2 + 190*b. What is the third derivative of w(x) wrt x?\n' | b'3420*x**2\n' | b'Let w(b) be the second derivative of 19*b**7/14 + b**4/4 + 10*b**2 + 190*b. What is the third derivative of w(x) wrt x?\n' | b'3420*x**2\n' | deepmind/math_dataset |
b'Simplify (l*l*l/(l*l/(l**(-22)/l))*l)/l**(2/13) assuming l is positive.\n' | b'l**(-275/13)\n' | b'Simplify (l*l*l/(l*l/(l**(-22)/l))*l)/l**(2/13) assuming l is positive.\n' | b'l**(-275/13)\n' | deepmind/math_dataset |
b'Suppose 4*j + 5*y - 8 = -0*j, 0 = -5*j - y + 10. Suppose -3*f = 3*w - 15, 2*f - 19 = -6*w + w. Solve -w*g - 6 = t, -4*t + j = -g + t for g.\n' | b'-2\n' | b'Suppose 4*j + 5*y - 8 = -0*j, 0 = -5*j - y + 10. Suppose -3*f = 3*w - 15, 2*f - 19 = -6*w + w. Solve -w*g - 6 = t, -4*t + j = -g + t for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {c: 9}. What is prob of picking 4 c?\n' | b'1\n' | b'Four letters picked without replacement from {c: 9}. What is prob of picking 4 c?\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xixiiixxiiiixixrir. What is prob of picking 1 r and 2 i?\n' | b'15/136\n' | b'Three letters picked without replacement from xixiiixxiiiixixrir. What is prob of picking 1 r and 2 i?\n' | b'15/136\n' | deepmind/math_dataset |
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