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'What is prob of picking 2 h and 1 t when three letters picked without replacement from {t: 2, u: 3, s: 4, h: 6, v: 3}?\n' | b'5/136\n' | b'What is prob of picking 2 h and 1 t when three letters picked without replacement from {t: 2, u: 3, s: 4, h: 6, v: 3}?\n' | b'5/136\n' | deepmind/math_dataset |
b'Let v = -20 + 20. Suppose -6*a + a + 15 = v. Let d(i) = i**3 - 2*i**2 - 5*i + 3. Calculate d(a).\n' | b'-3\n' | b'Let v = -20 + 20. Suppose -6*a + a + 15 = v. Let d(i) = i**3 - 2*i**2 - 5*i + 3. Calculate d(a).\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -11*o + 1 + 21 = 0. Let s(v) = v**3 + 8*v**2 - 2*v - 7. Let q be s(-8). Let n be (3 - 1) + 1 + 0. Solve 3*w = q, 0 = o*d + d - n*w + 12 for d.\n' | b'-1\n' | b'Suppose -11*o + 1 + 21 = 0. Let s(v) = v**3 + 8*v**2 - 2*v - 7. Let q be s(-8). Let n be (3 - 1) + 1 + 0. Solve 3*w = q, 0 = o*d + d - n*w + 12 for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qqnnqqn. What is prob of sequence qnnn?\n' | b'1/35\n' | b'Four letters picked without replacement from qqnnqqn. What is prob of sequence qnnn?\n' | b'1/35\n' | deepmind/math_dataset |
b'Let s be (1/(-2))/(1/(-32)). Solve 4*r + 4 = b, 2*r + 0*r = -4*b + s for r.\n' | b'0\n' | b'Let s be (1/(-2))/(1/(-32)). Solve 4*r + 4 = b, 2*r + 0*r = -4*b + s for r.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gogcoccggcgbgg. Give prob of picking 1 b and 1 g.\n' | b'1/13\n' | b'Two letters picked without replacement from gogcoccggcgbgg. Give prob of picking 1 b and 1 g.\n' | b'1/13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 17, w: 2}. Give prob of picking 2 x.\n' | b'136/171\n' | b'Two letters picked without replacement from {x: 17, w: 2}. Give prob of picking 2 x.\n' | b'136/171\n' | deepmind/math_dataset |
b'Simplify (g**0)**30/(g*g*(g*g**(2/11)*g)/g*g)**2 assuming g is positive.\n' | b'g**(-92/11)\n' | b'Simplify (g**0)**30/(g*g*(g*g**(2/11)*g)/g*g)**2 assuming g is positive.\n' | b'g**(-92/11)\n' | deepmind/math_dataset |
b'Let t(y) be the second derivative of -1/6*y**3 + 0*y**2 + 0 + 3/10*y**5 + 2*y + 0*y**4. What is the second derivative of t(h) wrt h?\n' | b'36*h\n' | b'Let t(y) be the second derivative of -1/6*y**3 + 0*y**2 + 0 + 3/10*y**5 + 2*y + 0*y**4. What is the second derivative of t(h) wrt h?\n' | b'36*h\n' | deepmind/math_dataset |
b'Let b(q) = 40*q + 3*q - 13*q + 23 + 2*q - 4*q. Let i = 9 - 6. Let w(y) = 28*y + 24. Let k(p) = i*w(p) - 4*b(p). Differentiate k(m) wrt m.\n' | b'-28\n' | b'Let b(q) = 40*q + 3*q - 13*q + 23 + 2*q - 4*q. Let i = 9 - 6. Let w(y) = 28*y + 24. Let k(p) = i*w(p) - 4*b(p). Differentiate k(m) wrt m.\n' | b'-28\n' | deepmind/math_dataset |
b'Simplify ((m**(2/5)*m)**(2/9)/((m/(m*m/((m/(m/((m/(m**(-1)*m)*m)/m*m))*m)/m)))/m**(-1/9)))/((m**(-5)*m)/(m*m*m**(5/4)))**(-2/3) assuming m is positive.\n' | b'm**(-169/30)\n' | b'Simplify ((m**(2/5)*m)**(2/9)/((m/(m*m/((m/(m/((m/(m**(-1)*m)*m)/m*m))*m)/m)))/m**(-1/9)))/((m**(-5)*m)/(m*m*m**(5/4)))**(-2/3) assuming m is positive.\n' | b'm**(-169/30)\n' | deepmind/math_dataset |
b'Let a = 26 - 10. Suppose -9*l + 5*l = -a. Let m(b) = -1 - 5*b + 0 + l*b. Determine m(1).\n' | b'-2\n' | b'Let a = 26 - 10. Suppose -9*l + 5*l = -a. Let m(b) = -1 - 5*b + 0 + l*b. Determine m(1).\n' | b'-2\n' | deepmind/math_dataset |
b'Let g = -70 - -65. Let d be (-3)/6*(0/g)/2. Solve -2*u + d = 5*n + 18, -2*u + 6 = -n for u.\n' | b'1\n' | b'Let g = -70 - -65. Let d be (-3)/6*(0/g)/2. Solve -2*u + d = 5*n + 18, -2*u + 6 = -n for u.\n' | b'1\n' | deepmind/math_dataset |
b'Let a be (-2)/(-2)*(-11 + 36). Find the first derivative of -a + 0 + 29*o**3 - 4*o**3 wrt o.\n' | b'75*o**2\n' | b'Let a be (-2)/(-2)*(-11 + 36). Find the first derivative of -a + 0 + 29*o**3 - 4*o**3 wrt o.\n' | b'75*o**2\n' | deepmind/math_dataset |
b'Let f be (55/10)/(2/(-4)). Let t(o) = -3*o + 3. Let h be t(f). Suppose 8*k + k = h. Solve -i - s + 1 = 0, -k*s = -0*i + 3*i - 4 for i.\n' | b'0\n' | b'Let f be (55/10)/(2/(-4)). Let t(o) = -3*o + 3. Let h be t(f). Suppose 8*k + k = h. Solve -i - s + 1 = 0, -k*s = -0*i + 3*i - 4 for i.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hgxvgvbh. What is prob of picking 1 h and 2 g?\n' | b'1/28\n' | b'Three letters picked without replacement from hgxvgvbh. What is prob of picking 1 h and 2 g?\n' | b'1/28\n' | deepmind/math_dataset |
b'Calculate prob of sequence agha when four letters picked without replacement from ppagpggppphppguuag.\n' | b'1/7344\n' | b'Calculate prob of sequence agha when four letters picked without replacement from ppagpggppphppguuag.\n' | b'1/7344\n' | deepmind/math_dataset |
b'Suppose -s = -63 + 63. Suppose -7*p + 8*p - 3 = s. Solve 5*n + 5 = p*x, 3*n = -3*x - 6 + 3 for n.\n' | b'-1\n' | b'Suppose -s = -63 + 63. Suppose -7*p + 8*p - 3 = s. Solve 5*n + 5 = p*x, 3*n = -3*x - 6 + 3 for n.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((b**(1/10)*b)/(b**10/b))/(b**(-2/15)*b**9) assuming b is positive.\n' | b'b**(-503/30)\n' | b'Simplify ((b**(1/10)*b)/(b**10/b))/(b**(-2/15)*b**9) assuming b is positive.\n' | b'b**(-503/30)\n' | deepmind/math_dataset |
b'Simplify (l/(l*l**(-5/2)*l))**(38/7) assuming l is positive.\n' | b'l**(57/7)\n' | b'Simplify (l/(l*l**(-5/2)*l))**(38/7) assuming l is positive.\n' | b'l**(57/7)\n' | deepmind/math_dataset |
b'Let m be (0*(-3)/(-12))/3. Suppose 0 = 3*v - 2*s - 23, -4*v - 2*s = -m*v - 12. Solve 18 = 3*r - v*h, h + h + 8 = 2*r for r.\n' | b'1\n' | b'Let m be (0*(-3)/(-12))/3. Suppose 0 = 3*v - 2*s - 23, -4*v - 2*s = -m*v - 12. Solve 18 = 3*r - v*h, h + h + 8 = 2*r for r.\n' | b'1\n' | deepmind/math_dataset |
b'Let o(g) = -g**3 - g**2 + g + 2. Let w be o(0). Let h(t) = 0 - w*t**2 + 4 + 2*t - 6 + t. Give h(2).\n' | b'-4\n' | b'Let o(g) = -g**3 - g**2 + g + 2. Let w be o(0). Let h(t) = 0 - w*t**2 + 4 + 2*t - 6 + t. Give h(2).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (o**(1/4)/(o**(-5)/o)*((o/(o*o/o**5))/o*o*o*o)/o**3)/(((o*o*o**(-3/7)*o)/o)/(o/o**2)*(o/((o/o**(-1))/o))/(o**(-2)/o)) assuming o is positive.\n' | b'o**(103/28)\n' | b'Simplify (o**(1/4)/(o**(-5)/o)*((o/(o*o/o**5))/o*o*o*o)/o**3)/(((o*o*o**(-3/7)*o)/o)/(o/o**2)*(o/((o/o**(-1))/o))/(o**(-2)/o)) assuming o is positive.\n' | b'o**(103/28)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jjjoojjjjjjoojjjjjo. What is prob of sequence jjo?\n' | b'455/2907\n' | b'Three letters picked without replacement from jjjoojjjjjjoojjjjjo. What is prob of sequence jjo?\n' | b'455/2907\n' | deepmind/math_dataset |
b'Let m = -1 + 2. Let c be (m/1)/1 - -2. Find the second derivative of -4*n**3 + 2*n**c - 4*n + 2*n wrt n.\n' | b'-12*n\n' | b'Let m = -1 + 2. Let c be (m/1)/1 - -2. Find the second derivative of -4*n**3 + 2*n**c - 4*n + 2*n wrt n.\n' | b'-12*n\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 3, v: 2}. What is prob of picking 3 z and 1 v?\n' | b'2/5\n' | b'Four letters picked without replacement from {z: 3, v: 2}. What is prob of picking 3 z and 1 v?\n' | b'2/5\n' | deepmind/math_dataset |
b'Let b be (-7)/(-5) - (-15)/25. Suppose -m - 1 = -4*q, -3 + 16 = 5*m - 2*q. Solve -4*w - v = -m*v - b, -20 = -5*w - v for w.\n' | b'3\n' | b'Let b be (-7)/(-5) - (-15)/25. Suppose -m - 1 = -4*q, -3 + 16 = 5*m - 2*q. Solve -4*w - v = -m*v - b, -20 = -5*w - v for w.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uxxgjxjgbjggjjj. Give prob of sequence gx.\n' | b'2/35\n' | b'Two letters picked without replacement from uxxgjxjgbjggjjj. Give prob of sequence gx.\n' | b'2/35\n' | deepmind/math_dataset |
b'Let i(f) = f**3 - 4*f**2 - 10*f - 4. Suppose 4*n = 44 - 20. Let p be i(n). Suppose 3*v - 12 = -0*v. Solve v*d + p*h - 3*h = 3, 4*h - 3 = -3*d for d.\n' | b'-3\n' | b'Let i(f) = f**3 - 4*f**2 - 10*f - 4. Suppose 4*n = 44 - 20. Let p be i(n). Suppose 3*v - 12 = -0*v. Solve v*d + p*h - 3*h = 3, 4*h - 3 = -3*d for d.\n' | b'-3\n' | deepmind/math_dataset |
b'Let n be 3/1 - (0 - 0). Let x = -1244 - -1250. Suppose -x*b = -n*b. Solve -2*y - 10 = -5*l + 3*y, b = l + 2*y - 2 for l.\n' | b'2\n' | b'Let n be 3/1 - (0 - 0). Let x = -1244 - -1250. Suppose -x*b = -n*b. Solve -2*y - 10 = -5*l + 3*y, b = l + 2*y - 2 for l.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 4, y: 4, d: 1, t: 3, b: 2}. Give prob of picking 1 d and 1 b.\n' | b'2/91\n' | b'Two letters picked without replacement from {g: 4, y: 4, d: 1, t: 3, b: 2}. Give prob of picking 1 d and 1 b.\n' | b'2/91\n' | deepmind/math_dataset |
b'Let u = -6 - -9. Suppose -3*l = -u*w - 12, 4*l - 5*w = 22 - 5. Let k(d) = 1 - 2*d**3 - 4*d**l - d**2 + 0. What is k(1)?\n' | b'-6\n' | b'Let u = -6 - -9. Suppose -3*l = -u*w - 12, 4*l - 5*w = 22 - 5. Let k(d) = 1 - 2*d**3 - 4*d**l - d**2 + 0. What is k(1)?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (((((n*(n**(-2/11)/n)/n)/n*n)/(n**(1/8)/n))/((n*n**(-1/2))/n**1))**(-15))**(-38) assuming n is positive.\n' | b'n**(4845/44)\n' | b'Simplify (((((n*(n**(-2/11)/n)/n)/n*n)/(n**(1/8)/n))/((n*n**(-1/2))/n**1))**(-15))**(-38) assuming n is positive.\n' | b'n**(4845/44)\n' | deepmind/math_dataset |
b'Let k(y) be the first derivative of y**2/2 + 4*y + 1. Let v be k(0). Let x(s) = s + 7. Let j(a) = -3. Let d(m) = 8*j(m) + 3*x(m). Give d(v).\n' | b'9\n' | b'Let k(y) be the first derivative of y**2/2 + 4*y + 1. Let v be k(0). Let x(s) = s + 7. Let j(a) = -3. Let d(m) = 8*j(m) + 3*x(m). Give d(v).\n' | b'9\n' | deepmind/math_dataset |
b'Let j = -4 - -10. Find the second derivative of -53*p**2 - 2*p - j*p**5 - p + 53*p**2 wrt p.\n' | b'-120*p**3\n' | b'Let j = -4 - -10. Find the second derivative of -53*p**2 - 2*p - j*p**5 - p + 53*p**2 wrt p.\n' | b'-120*p**3\n' | deepmind/math_dataset |
b'Simplify (w/((((w*(w**(1/4)/w)/w*w*w)/w)/w*w*w)/w))**44/(w**2*w**(-1/4)) assuming w is positive.\n' | b'w**(125/4)\n' | b'Simplify (w/((((w*(w**(1/4)/w)/w*w*w)/w)/w*w*w)/w))**44/(w**2*w**(-1/4)) assuming w is positive.\n' | b'w**(125/4)\n' | deepmind/math_dataset |
b'Let t(l) = -21*l**3 + 5*l**2 - l - 1. Let z(y) = 17*y**3 - 5*y**2 + y. Let n(r) = -4*t(r) - 5*z(r). What is n(4)?\n' | b'16\n' | b'Let t(l) = -21*l**3 + 5*l**2 - l - 1. Let z(y) = 17*y**3 - 5*y**2 + y. Let n(r) = -4*t(r) - 5*z(r). What is n(4)?\n' | b'16\n' | deepmind/math_dataset |
b'Let x(z) be the second derivative of 5*z - 11/2*z**2 + 0*z**5 + 0*z**4 + 0*z**3 - 11/15*z**6 + 0. What is the derivative of x(y) wrt y?\n' | b'-88*y**3\n' | b'Let x(z) be the second derivative of 5*z - 11/2*z**2 + 0*z**5 + 0*z**4 + 0*z**3 - 11/15*z**6 + 0. What is the derivative of x(y) wrt y?\n' | b'-88*y**3\n' | deepmind/math_dataset |
b'Let g(u) = u**3 - 2*u**2 - 4*u + 4. Let y = -69 + 73. Suppose 0 = y*l - 2*l - 10. Suppose l*r = 6*r - 3. What is g(r)?\n' | b'1\n' | b'Let g(u) = u**3 - 2*u**2 - 4*u + 4. Let y = -69 + 73. Suppose 0 = y*l - 2*l - 10. Suppose l*r = 6*r - 3. What is g(r)?\n' | b'1\n' | deepmind/math_dataset |
b'Let l(a) = -a**3 - 4*a**2 - 4*a - 4. Let o = -3 + 8. Suppose o*p - 4*w + 5 = 2*p, p = 3*w. Give l(p).\n' | b'-1\n' | b'Let l(a) = -a**3 - 4*a**2 - 4*a - 4. Let o = -3 + 8. Suppose o*p - 4*w + 5 = 2*p, p = 3*w. Give l(p).\n' | b'-1\n' | deepmind/math_dataset |
b'Let p = -20 + 22. Find the third derivative of 7*x**5 - 8*x**3 - 3*x**p - 3*x**2 + 8*x**3 wrt x.\n' | b'420*x**2\n' | b'Let p = -20 + 22. Find the third derivative of 7*x**5 - 8*x**3 - 3*x**p - 3*x**2 + 8*x**3 wrt x.\n' | b'420*x**2\n' | deepmind/math_dataset |
b'Let w = 75 + -71. Suppose 0 = -4*p + 3*q - 1, 2*p - 5*q + w = -7. Suppose j + p - 7 = 0. Solve -2*b = -j*u + 23, 3*u - b - 5 = 8 for u.\n' | b'3\n' | b'Let w = 75 + -71. Suppose 0 = -4*p + 3*q - 1, 2*p - 5*q + w = -7. Suppose j + p - 7 = 0. Solve -2*b = -j*u + 23, 3*u - b - 5 = 8 for u.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 2, g: 9, w: 6, y: 2}. What is prob of sequence wy?\n' | b'2/57\n' | b'Two letters picked without replacement from {m: 2, g: 9, w: 6, y: 2}. What is prob of sequence wy?\n' | b'2/57\n' | deepmind/math_dataset |
b'Calculate prob of sequence gmgx when four letters picked without replacement from xkkgukgggmgkgxmmm.\n' | b'1/238\n' | b'Calculate prob of sequence gmgx when four letters picked without replacement from xkkgukgggmgkgxmmm.\n' | b'1/238\n' | deepmind/math_dataset |
b'Let t(z) be the first derivative of z**6/30 + z**5/20 + z**4/8 + z**3/6 - 139*z**2/2 - 103. Let g(m) be the second derivative of t(m). Calculate g(-1).\n' | b'-3\n' | b'Let t(z) be the first derivative of z**6/30 + z**5/20 + z**4/8 + z**3/6 - 139*z**2/2 - 103. Let g(m) be the second derivative of t(m). Calculate g(-1).\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 1 s, 1 x, and 1 f when three letters picked without replacement from {j: 1, s: 2, f: 2, n: 2, z: 1, x: 1}?\n' | b'1/21\n' | b'What is prob of picking 1 s, 1 x, and 1 f when three letters picked without replacement from {j: 1, s: 2, f: 2, n: 2, z: 1, x: 1}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let o be (-3 + 22/8)/(3/(-24)). Solve -m - 12 = -5*w, 3 = -5*w - o*m + 9 for w.\n' | b'2\n' | b'Let o be (-3 + 22/8)/(3/(-24)). Solve -m - 12 = -5*w, 3 = -5*w - o*m + 9 for w.\n' | b'2\n' | deepmind/math_dataset |
b'Let d(t) = -259*t**3 + 258*t**3 - 11*t + 8*t**2 - 7 - 5*t + 18*t - 5*t - 3*t. Let v(x) = x**2 + x - 3. Let g be v(0). Let p be (-1)/g*(20 - -1). Determine d(p).\n' | b'0\n' | b'Let d(t) = -259*t**3 + 258*t**3 - 11*t + 8*t**2 - 7 - 5*t + 18*t - 5*t - 3*t. Let v(x) = x**2 + x - 3. Let g be v(0). Let p be (-1)/g*(20 - -1). Determine d(p).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 4*r + 11462 = 26*r. Let m = r - 516. Solve 5*y = d - 20, m*y - 4*d + 13 = -22 for y.\n' | b'-3\n' | b'Suppose 4*r + 11462 = 26*r. Let m = r - 516. Solve 5*y = d - 20, m*y - 4*d + 13 = -22 for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q when two letters picked without replacement from {q: 6}.\n' | b'1\n' | b'Calculate prob of picking 2 q when two letters picked without replacement from {q: 6}.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 2, x: 4}. Give prob of sequence xdx.\n' | b'1/5\n' | b'Three letters picked without replacement from {d: 2, x: 4}. Give prob of sequence xdx.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let w(v) = 2*v**2 + 17*v + 38. Let x be w(-5). Let k be 7/4 + (-1)/(-4). Let d(n) = -3*n**2 - 4 + 5*n**2 + 0 - k*n. What is d(x)?\n' | b'8\n' | b'Let w(v) = 2*v**2 + 17*v + 38. Let x be w(-5). Let k be 7/4 + (-1)/(-4). Let d(n) = -3*n**2 - 4 + 5*n**2 + 0 - k*n. What is d(x)?\n' | b'8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wwwwwcwcwwwwcwww. What is prob of sequence cccw?\n' | b'1/560\n' | b'Four letters picked without replacement from wwwwwcwcwwwwcwww. What is prob of sequence cccw?\n' | b'1/560\n' | deepmind/math_dataset |
b'Calculate prob of sequence tyf when three letters picked without replacement from {f: 1, t: 4, y: 6}.\n' | b'4/165\n' | b'Calculate prob of sequence tyf when three letters picked without replacement from {f: 1, t: 4, y: 6}.\n' | b'4/165\n' | deepmind/math_dataset |
b'Suppose 2*i + 0 = 6. Find the second derivative of 4*m**3 - 2*m + 5*m**4 - 6*m**3 + 2*m**i wrt m.\n' | b'60*m**2\n' | b'Suppose 2*i + 0 = 6. Find the second derivative of 4*m**3 - 2*m + 5*m**4 - 6*m**3 + 2*m**i wrt m.\n' | b'60*m**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from efeeeeeeeffeeeeefef. What is prob of picking 1 e and 1 f?\n' | b'70/171\n' | b'Two letters picked without replacement from efeeeeeeeffeeeeefef. What is prob of picking 1 e and 1 f?\n' | b'70/171\n' | deepmind/math_dataset |
b'Two letters picked without replacement from abbavbbabbmabbb. What is prob of sequence ma?\n' | b'2/105\n' | b'Two letters picked without replacement from abbavbbabbmabbb. What is prob of sequence ma?\n' | b'2/105\n' | deepmind/math_dataset |
b'Let r be 2/(-3) + 3542/21. Differentiate -10*d**4 + r*d**3 - 3 - 168*d**3 with respect to d.\n' | b'-40*d**3\n' | b'Let r be 2/(-3) + 3542/21. Differentiate -10*d**4 + r*d**3 - 3 - 168*d**3 with respect to d.\n' | b'-40*d**3\n' | deepmind/math_dataset |
b'Let o be ((-4)/(-6))/(10/(-15)). Let j be (o*4)/(2 - 4). Solve 3*z + k + 4*k = 23, -j*z = -4*k + 14 for z.\n' | b'1\n' | b'Let o be ((-4)/(-6))/(10/(-15)). Let j be (o*4)/(2 - 4). Solve 3*z + k + 4*k = 23, -j*z = -4*k + 14 for z.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (c/(c/(c/((c**(-6)/c*c*c)/c*c))*c)*c**(2/7)/c)/(c/c**(-2/9)*(c*c/((c/c**(-4))/c)*c)/c*c) assuming c is positive.\n' | b'c**(256/63)\n' | b'Simplify (c/(c/(c/((c**(-6)/c*c*c)/c*c))*c)*c**(2/7)/c)/(c/c**(-2/9)*(c*c/((c/c**(-4))/c)*c)/c*c) assuming c is positive.\n' | b'c**(256/63)\n' | deepmind/math_dataset |
b'Suppose g = 6*g - 30. Suppose -2*i + 12 = g. Find the third derivative of -13*x**i + 13*x**3 + 2*x**5 - x**2 wrt x.\n' | b'120*x**2\n' | b'Suppose g = 6*g - 30. Suppose -2*i + 12 = g. Find the third derivative of -13*x**i + 13*x**3 + 2*x**5 - x**2 wrt x.\n' | b'120*x**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {j: 11, i: 1, v: 5}. Give prob of sequence jviv.\n' | b'11/2856\n' | b'Four letters picked without replacement from {j: 11, i: 1, v: 5}. Give prob of sequence jviv.\n' | b'11/2856\n' | deepmind/math_dataset |
b'Let d be (-2)/2 - 3/1. Let c = -1 - d. Let g(z) = -c*z + 6*z - z + 1. What is g(-2)?\n' | b'-3\n' | b'Let d be (-2)/2 - 3/1. Let c = -1 - d. Let g(z) = -c*z + 6*z - z + 1. What is g(-2)?\n' | b'-3\n' | deepmind/math_dataset |
b'Let j(a) = -6*a**2 - 5*a. Let x(p) = -p**3 + 5*p**2 - 2*p. Let u be x(3). Let s = -6 + u. Let y(w) = 7*w**2 + 6*w. Let f(r) = s*j(r) + 5*y(r). What is f(-2)?\n' | b'-4\n' | b'Let j(a) = -6*a**2 - 5*a. Let x(p) = -p**3 + 5*p**2 - 2*p. Let u be x(3). Let s = -6 + u. Let y(w) = 7*w**2 + 6*w. Let f(r) = s*j(r) + 5*y(r). What is f(-2)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let j(b) = -215*b**3 - 141*b**2. Let o(t) = -54*t**3 - 35*t**2. Let c(w) = -2*j(w) + 9*o(w). What is the third derivative of c(a) wrt a?\n' | b'-336\n' | b'Let j(b) = -215*b**3 - 141*b**2. Let o(t) = -54*t**3 - 35*t**2. Let c(w) = -2*j(w) + 9*o(w). What is the third derivative of c(a) wrt a?\n' | b'-336\n' | deepmind/math_dataset |
b'Let h(k) = 2*k**3 - 24*k**2 + 7*k. Let y(u) = 4*u**3 - 46*u**2 + 11*u + 1. Let b(v) = 5*h(v) - 3*y(v). Give b(9).\n' | b'15\n' | b'Let h(k) = 2*k**3 - 24*k**2 + 7*k. Let y(u) = 4*u**3 - 46*u**2 + 11*u + 1. Let b(v) = 5*h(v) - 3*y(v). Give b(9).\n' | b'15\n' | deepmind/math_dataset |
b'Suppose 3*m - 5*m - 12 = 0. Let n = m - -10. Let i = -748 - -752. Solve -n*v = -3*y - 21, i*y + 7 = -2*v + 1 for v.\n' | b'3\n' | b'Suppose 3*m - 5*m - 12 = 0. Let n = m - -10. Let i = -748 - -752. Solve -n*v = -3*y - 21, i*y + 7 = -2*v + 1 for v.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((q/(q*(q**(-11)*q)/q*q)*q**12)/(q/(q**(3/2)/q))**(31/5))**(-3/34) assuming q is positive.\n' | b'q**(-567/340)\n' | b'Simplify ((q/(q*(q**(-11)*q)/q*q)*q**12)/(q/(q**(3/2)/q))**(31/5))**(-3/34) assuming q is positive.\n' | b'q**(-567/340)\n' | deepmind/math_dataset |
b'Simplify ((v**(-1))**(3/38)*(v**1*v)**(1/33))/((((v*v/v**(-1/2))/v*v)/v)**(-48)/(v**(-1)/v)**(-9/4)) assuming v is positive.\n' | b'v**(47954/627)\n' | b'Simplify ((v**(-1))**(3/38)*(v**1*v)**(1/33))/((((v*v/v**(-1/2))/v*v)/v)**(-48)/(v**(-1)/v)**(-9/4)) assuming v is positive.\n' | b'v**(47954/627)\n' | deepmind/math_dataset |
b'What is prob of sequence bgbg when four letters picked without replacement from kghkgghkgbgrhbb?\n' | b'1/273\n' | b'What is prob of sequence bgbg when four letters picked without replacement from kghkgghkgbgrhbb?\n' | b'1/273\n' | deepmind/math_dataset |
b'Simplify a/a**(-8)*a**(1/31)*a assuming a is positive.\n' | b'a**(311/31)\n' | b'Simplify a/a**(-8)*a**(1/31)*a assuming a is positive.\n' | b'a**(311/31)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jnncccjcxn. Give prob of picking 1 x and 1 c.\n' | b'4/45\n' | b'Two letters picked without replacement from jnncccjcxn. Give prob of picking 1 x and 1 c.\n' | b'4/45\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 y when four letters picked without replacement from yyyyyy.\n' | b'1\n' | b'Calculate prob of picking 4 y when four letters picked without replacement from yyyyyy.\n' | b'1\n' | deepmind/math_dataset |
b'Let i(j) be the first derivative of -j**5/10 + 2*j**2 - 4*j - 3. Let y(t) be the first derivative of i(t). What is the derivative of y(r) wrt r?\n' | b'-6*r**2\n' | b'Let i(j) be the first derivative of -j**5/10 + 2*j**2 - 4*j - 3. Let y(t) be the first derivative of i(t). What is the derivative of y(r) wrt r?\n' | b'-6*r**2\n' | deepmind/math_dataset |
b'Simplify k*k/(k*((((k**21*k*k)/k)/k)/k)/k*k)*k*k*k*k**21*k*k assuming k is positive.\n' | b'k**7\n' | b'Simplify k*k/(k*((((k**21*k*k)/k)/k)/k)/k*k)*k*k*k*k**21*k*k assuming k is positive.\n' | b'k**7\n' | deepmind/math_dataset |
b'What is prob of sequence yy when two letters picked without replacement from yby?\n' | b'1/3\n' | b'What is prob of sequence yy when two letters picked without replacement from yby?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let c(r) = -2*r**3 + r**2 - r + 2. Let f(k) = -k**3 - k**2 + k - 1. Let j(p) = c(p) - 3*f(p). Let z be j(-5). Solve -5*n = 2*h + 8, z*h - n + 3 = 5*h for h.\n' | b'1\n' | b'Let c(r) = -2*r**3 + r**2 - r + 2. Let f(k) = -k**3 - k**2 + k - 1. Let j(p) = c(p) - 3*f(p). Let z be j(-5). Solve -5*n = 2*h + 8, z*h - n + 3 = 5*h for h.\n' | b'1\n' | deepmind/math_dataset |
b'Let f be (-16)/(-7) + 12/(-42). Differentiate -3*n**2 - n**f + n**2 + 2*n**2 + 3 with respect to n.\n' | b'-2*n\n' | b'Let f be (-16)/(-7) + 12/(-42). Differentiate -3*n**2 - n**f + n**2 + 2*n**2 + 3 with respect to n.\n' | b'-2*n\n' | deepmind/math_dataset |
b'Let i = -763/4 - -194. Let u(d) be the first derivative of 0*d**2 + 17 + 0*d**3 + 7*d + i*d**4. Differentiate u(z) with respect to z.\n' | b'39*z**2\n' | b'Let i = -763/4 - -194. Let u(d) be the first derivative of 0*d**2 + 17 + 0*d**3 + 7*d + i*d**4. Differentiate u(z) with respect to z.\n' | b'39*z**2\n' | deepmind/math_dataset |
b'Let h be ((-5)/(-3) + -1)*(-3)/(-2). Let y(g) be the first derivative of 7*g**2/2 - 2*g - 26. Let z be y(h). Solve 0 = -o - 5, o + 21 = f - z*f for f.\n' | b'-4\n' | b'Let h be ((-5)/(-3) + -1)*(-3)/(-2). Let y(g) be the first derivative of 7*g**2/2 - 2*g - 26. Let z be y(h). Solve 0 = -o - 5, o + 21 = f - z*f for f.\n' | b'-4\n' | deepmind/math_dataset |
b'Let v(k) = -7*k**3 - 8*k**2 + 6*k + 6. Let l(j) = -6*j**3 - 7*j**2 + 5*j + 5. Let p(q) = -6*l(q) + 5*v(q). Let y be 16/12*(-3)/2. Determine p(y).\n' | b'0\n' | b'Let v(k) = -7*k**3 - 8*k**2 + 6*k + 6. Let l(j) = -6*j**3 - 7*j**2 + 5*j + 5. Let p(q) = -6*l(q) + 5*v(q). Let y be 16/12*(-3)/2. Determine p(y).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((r/r**(-1/5)*r)/r*r*r)**(-3/11)*(r**(-2/9)/r*r)/(r*r/r**(-3/10)) assuming r is positive.\n' | b'r**(-3361/990)\n' | b'Simplify ((r/r**(-1/5)*r)/r*r*r)**(-3/11)*(r**(-2/9)/r*r)/(r*r/r**(-3/10)) assuming r is positive.\n' | b'r**(-3361/990)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 z and 1 s when three letters picked without replacement from kssskkzkskkszkskk.\n' | b'3/340\n' | b'Calculate prob of picking 2 z and 1 s when three letters picked without replacement from kssskkzkskkszkskk.\n' | b'3/340\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 f when two letters picked without replacement from {n: 2, f: 6}.\n' | b'15/28\n' | b'Calculate prob of picking 2 f when two letters picked without replacement from {n: 2, f: 6}.\n' | b'15/28\n' | deepmind/math_dataset |
b'What is prob of sequence vzz when three letters picked without replacement from zzvzzzzzv?\n' | b'1/6\n' | b'What is prob of sequence vzz when three letters picked without replacement from zzvzzzzzv?\n' | b'1/6\n' | deepmind/math_dataset |
b'What is the third derivative of d**6 + 8*d**6 + 10*d**2 - 3*d**2 wrt d?\n' | b'1080*d**3\n' | b'What is the third derivative of d**6 + 8*d**6 + 10*d**2 - 3*d**2 wrt d?\n' | b'1080*d**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 1, i: 4, r: 8}. Give prob of sequence rr.\n' | b'14/39\n' | b'Two letters picked without replacement from {g: 1, i: 4, r: 8}. Give prob of sequence rr.\n' | b'14/39\n' | deepmind/math_dataset |
b'Let k be 3/(-6)*-2*8. Let s be 3/(-3) + k/2. Suppose -10 = m - s*m. Solve f - 3*f = m*q - 10, 5*f = -q + 2 for q.\n' | b'2\n' | b'Let k be 3/(-6)*-2*8. Let s be 3/(-3) + k/2. Suppose -10 = m - s*m. Solve f - 3*f = m*q - 10, 5*f = -q + 2 for q.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 2*a - 39 = -3*p, -2*p + 2*a + 10 = -2*a. Find the third derivative of -5*q**2 - 9*q**2 + 4*q**2 + 2*q**2 - p*q**4 wrt q.\n' | b'-264*q\n' | b'Suppose 2*a - 39 = -3*p, -2*p + 2*a + 10 = -2*a. Find the third derivative of -5*q**2 - 9*q**2 + 4*q**2 + 2*q**2 - p*q**4 wrt q.\n' | b'-264*q\n' | deepmind/math_dataset |
b'Let r(u) = -67*u**3 - 4*u**2 - 40*u + 3. Let p(q) = -133*q**3 - 9*q**2 - 81*q + 7. Let m(d) = 6*p(d) - 14*r(d). Find the third derivative of m(g) wrt g.\n' | b'840\n' | b'Let r(u) = -67*u**3 - 4*u**2 - 40*u + 3. Let p(q) = -133*q**3 - 9*q**2 - 81*q + 7. Let m(d) = 6*p(d) - 14*r(d). Find the third derivative of m(g) wrt g.\n' | b'840\n' | deepmind/math_dataset |
b'Let o(a) = -a**2 + a. Suppose 0*q - q + x + 14 = 0, 0 = -q + 5*x + 34. Let v(t) = t - 9. Let d be v(q). Let u be d/(-6 + 1 + 3). Give o(u).\n' | b'0\n' | b'Let o(a) = -a**2 + a. Suppose 0*q - q + x + 14 = 0, 0 = -q + 5*x + 34. Let v(t) = t - 9. Let d be v(q). Let u be d/(-6 + 1 + 3). Give o(u).\n' | b'0\n' | deepmind/math_dataset |
b'Let n be (-11 + 11)*(-2)/4. Solve a + 5*l - 22 = n, 3*l - 4 + 0 = 4*a for a.\n' | b'2\n' | b'Let n be (-11 + 11)*(-2)/4. Solve a + 5*l - 22 = n, 3*l - 4 + 0 = 4*a for a.\n' | b'2\n' | deepmind/math_dataset |
b'Find the second derivative of -75*j + 17776*j**2 + 567*j**3 - 17777*j**2 - 69*j wrt j.\n' | b'3402*j - 2\n' | b'Find the second derivative of -75*j + 17776*j**2 + 567*j**3 - 17777*j**2 - 69*j wrt j.\n' | b'3402*j - 2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wqddqdfdrdfdf. What is prob of sequence dw?\n' | b'1/26\n' | b'Two letters picked without replacement from wqddqdfdrdfdf. What is prob of sequence dw?\n' | b'1/26\n' | deepmind/math_dataset |
b'Let d(t) be the second derivative of 19*t**8/6720 - t**5/12 - 13*t**4/12 - t. Let q(b) be the third derivative of d(b). What is the derivative of q(x) wrt x?\n' | b'57*x**2\n' | b'Let d(t) be the second derivative of 19*t**8/6720 - t**5/12 - 13*t**4/12 - t. Let q(b) be the third derivative of d(b). What is the derivative of q(x) wrt x?\n' | b'57*x**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence yy when two letters picked without replacement from bbvhvvyghqhhyhv.\n' | b'1/105\n' | b'Calculate prob of sequence yy when two letters picked without replacement from bbvhvvyghqhhyhv.\n' | b'1/105\n' | deepmind/math_dataset |
b'Let m(c) be the second derivative of 0*c**3 + 0*c**5 + 0 - 3/2*c**2 + 4*c + 0*c**4 + 1/30*c**6. Differentiate m(k) wrt k.\n' | b'4*k**3\n' | b'Let m(c) be the second derivative of 0*c**3 + 0*c**5 + 0 - 3/2*c**2 + 4*c + 0*c**4 + 1/30*c**6. Differentiate m(k) wrt k.\n' | b'4*k**3\n' | deepmind/math_dataset |
b'Simplify (((z/z**(-1/4)*z)**(-45))**(-18/7))**40 assuming z is positive.\n' | b'z**(72900/7)\n' | b'Simplify (((z/z**(-1/4)*z)**(-45))**(-18/7))**40 assuming z is positive.\n' | b'z**(72900/7)\n' | deepmind/math_dataset |
b'Suppose -10*f + 38 = -2. Suppose 0 = -5*a, x - 5*a - f = -3*x. Solve 16 = -5*h + 5*p + x, -2*h - p = 0 for h.\n' | b'-1\n' | b'Suppose -10*f + 38 = -2. Suppose 0 = -5*a, x - 5*a - f = -3*x. Solve 16 = -5*h + 5*p + x, -2*h - p = 0 for h.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y and 1 n when two letters picked without replacement from yoynnnyonoonny.\n' | b'24/91\n' | b'Calculate prob of picking 1 y and 1 n when two letters picked without replacement from yoynnnyonoonny.\n' | b'24/91\n' | deepmind/math_dataset |
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