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 zglzgggzgggzngggzgl. What is prob of picking 1 l, 2 z, and 1 n?\n' | b'5/969\n' | b'Four letters picked without replacement from zglzgggzgggzngggzgl. What is prob of picking 1 l, 2 z, and 1 n?\n' | b'5/969\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 3 z when four letters picked without replacement from {z: 6, k: 4}?\n' | b'8/21\n' | b'What is prob of picking 1 k and 3 z when four letters picked without replacement from {z: 6, k: 4}?\n' | b'8/21\n' | deepmind/math_dataset |
b'Let i(s) = -3*s + 5. Let w be i(-5). Suppose 0 = -u + 6*u - w. Suppose 0 = -3*b + 43 - 10. Solve 3*y - u*v = 0, 0 = -3*y - v + b + 4 for y.\n' | b'4\n' | b'Let i(s) = -3*s + 5. Let w be i(-5). Suppose 0 = -u + 6*u - w. Suppose 0 = -3*b + 43 - 10. Solve 3*y - u*v = 0, 0 = -3*y - v + b + 4 for y.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence rc when two letters picked without replacement from crrrgrcrrrfifrfrrcc.\n' | b'20/171\n' | b'Calculate prob of sequence rc when two letters picked without replacement from crrrgrcrrrfifrfrrcc.\n' | b'20/171\n' | deepmind/math_dataset |
b'Let s(o) be the third derivative of o**4/6 - o**3/6 + 2*o**2 + 543*o - 2. Calculate s(4).\n' | b'15\n' | b'Let s(o) be the third derivative of o**4/6 - o**3/6 + 2*o**2 + 543*o - 2. Calculate s(4).\n' | b'15\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 5, y: 2, x: 3}. Give prob of sequence vvx.\n' | b'1/12\n' | b'Three letters picked without replacement from {v: 5, y: 2, x: 3}. Give prob of sequence vvx.\n' | b'1/12\n' | deepmind/math_dataset |
b'Let g(h) = h**2 + 3*h - 6. Suppose 0 = -o - 3*o. Let z be o*3/(-6) + 16. Let r = 11 - z. Give g(r).\n' | b'4\n' | b'Let g(h) = h**2 + 3*h - 6. Suppose 0 = -o - 3*o. Let z be o*3/(-6) + 16. Let r = 11 - z. Give g(r).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (q**(-3))**(1/33)*q**(7/6)/q**(8/9) assuming q is positive.\n' | b'q**(37/198)\n' | b'Simplify (q**(-3))**(1/33)*q**(7/6)/q**(8/9) assuming q is positive.\n' | b'q**(37/198)\n' | deepmind/math_dataset |
b'Let x(j) = -j - 12. Suppose 2*g - 10 = 6. Let b(o) = 23*o - 13*o + 23 - g*o. Let p(h) = -6*b(h) - 11*x(h). What is the derivative of p(u) wrt u?\n' | b'-1\n' | b'Let x(j) = -j - 12. Suppose 2*g - 10 = 6. Let b(o) = 23*o - 13*o + 23 - g*o. Let p(h) = -6*b(h) - 11*x(h). What is the derivative of p(u) wrt u?\n' | b'-1\n' | deepmind/math_dataset |
b'Let o(w) = w**3 + 2*w**2 - 5*w - 1. Let f(k) = -k - 5. Let g be f(-1). Calculate o(g).\n' | b'-13\n' | b'Let o(w) = w**3 + 2*w**2 - 5*w - 1. Let f(k) = -k - 5. Let g be f(-1). Calculate o(g).\n' | b'-13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from srwrbwiirrrirr. Give prob of sequence bi.\n' | b'3/182\n' | b'Two letters picked without replacement from srwrbwiirrrirr. Give prob of sequence bi.\n' | b'3/182\n' | deepmind/math_dataset |
b'Calculate prob of sequence ivuj when four letters picked without replacement from viiiijjuijiijui.\n' | b'8/4095\n' | b'Calculate prob of sequence ivuj when four letters picked without replacement from viiiijjuijiijui.\n' | b'8/4095\n' | deepmind/math_dataset |
b'Let c(o) = o**2 + o + 1. Let n(q) = 2*q**3 - 5*q**2 - 2*q - 5. Let d(t) = -3*c(t) - n(t). Suppose -2*h - p + 6 = 0, 2*h - 4*h - 4*p + 12 = 0. Calculate d(h).\n' | b'-8\n' | b'Let c(o) = o**2 + o + 1. Let n(q) = 2*q**3 - 5*q**2 - 2*q - 5. Let d(t) = -3*c(t) - n(t). Suppose -2*h - p + 6 = 0, 2*h - 4*h - 4*p + 12 = 0. Calculate d(h).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify (p/p**(-4)*p**(-5))**(-17/2)*((p/(p*p**5))/p)/(p*p**(-4))*(p**(-2/7))**(3/32) assuming p is positive.\n' | b'p**(-339/112)\n' | b'Simplify (p/p**(-4)*p**(-5))**(-17/2)*((p/(p*p**5))/p)/(p*p**(-4))*(p**(-2/7))**(3/32) assuming p is positive.\n' | b'p**(-339/112)\n' | deepmind/math_dataset |
b'Let s(g) = g**3 + 4*g**2 - 3*g - 3. Let b be s(-2). Suppose 15 = 4*h + b. Let p(f) = 3*f**3 - 4*f**3 + 3*f**2 - 3 + h + 3*f**3. Calculate p(-2).\n' | b'-6\n' | b'Let s(g) = g**3 + 4*g**2 - 3*g - 3. Let b be s(-2). Suppose 15 = 4*h + b. Let p(f) = 3*f**3 - 4*f**3 + 3*f**2 - 3 + h + 3*f**3. Calculate p(-2).\n' | b'-6\n' | deepmind/math_dataset |
b'Let y(o) be the first derivative of -o**3/3 + 3*o**2/2 - o - 1694. Let n = -14 - -20. Let q be (4/n)/(2/6). Determine y(q).\n' | b'1\n' | b'Let y(o) be the first derivative of -o**3/3 + 3*o**2/2 - o - 1694. Let n = -14 - -20. Let q be (4/n)/(2/6). Determine y(q).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((m*m**(2/11))/m)**(-1/10)/(m**3)**33 assuming m is positive.\n' | b'm**(-5446/55)\n' | b'Simplify ((m*m**(2/11))/m)**(-1/10)/(m**3)**33 assuming m is positive.\n' | b'm**(-5446/55)\n' | deepmind/math_dataset |
b'Let j(q) = -q**2 - 9*q - 18. Let d be j(-5). Let c(s) = -7*s**2 + 1 - 2*s + 8*s**2 - 4*s**d. Give c(1).\n' | b'-4\n' | b'Let j(q) = -q**2 - 9*q - 18. Let d be j(-5). Let c(s) = -7*s**2 + 1 - 2*s + 8*s**2 - 4*s**d. Give c(1).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify r**5*r/(r*r*r**5)*r**(-2/7)/r**(-3) assuming r is positive.\n' | b'r**(12/7)\n' | b'Simplify r**5*r/(r*r*r**5)*r**(-2/7)/r**(-3) assuming r is positive.\n' | b'r**(12/7)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 g, 1 j, and 1 t when four letters picked without replacement from {m: 1, g: 2, t: 2, j: 2, k: 1}.\n' | b'2/35\n' | b'Calculate prob of picking 2 g, 1 j, and 1 t when four letters picked without replacement from {m: 1, g: 2, t: 2, j: 2, k: 1}.\n' | b'2/35\n' | deepmind/math_dataset |
b'Simplify (b/(b/((b*b**(3/8))/b))*b**2)**7 assuming b is positive.\n' | b'b**(133/8)\n' | b'Simplify (b/(b/((b*b**(3/8))/b))*b**2)**7 assuming b is positive.\n' | b'b**(133/8)\n' | deepmind/math_dataset |
b'Let n(m) = -267*m**3 + 70*m**2 - 2*m + 4. Let c(w) = 268*w**3 - 70*w**2 + 3*w - 6. Let l(p) = -2*c(p) - 3*n(p). What is the third derivative of l(d) wrt d?\n' | b'1590\n' | b'Let n(m) = -267*m**3 + 70*m**2 - 2*m + 4. Let c(w) = 268*w**3 - 70*w**2 + 3*w - 6. Let l(p) = -2*c(p) - 3*n(p). What is the third derivative of l(d) wrt d?\n' | b'1590\n' | deepmind/math_dataset |
b'Let l(w) = 13*w**2 - 11*w + 2. Let t(a) = -8 + 1276*a - 1282*a + 7*a**2 + 9. Let y(p) = 6*l(p) - 11*t(p). Let h be 0 + (-2 - -4 - 6). Give y(h).\n' | b'17\n' | b'Let l(w) = 13*w**2 - 11*w + 2. Let t(a) = -8 + 1276*a - 1282*a + 7*a**2 + 9. Let y(p) = 6*l(p) - 11*t(p). Let h be 0 + (-2 - -4 - 6). Give y(h).\n' | b'17\n' | deepmind/math_dataset |
b'Simplify (k**(1/10)*k/k**(-7))**(-1/25)/((k*k*k/(k/k**0)*((k/k**(-2)*k*k)/k)/k)/(k**(-1))**(20/7)) assuming k is positive.\n' | b'k**(-14317/1750)\n' | b'Simplify (k**(1/10)*k/k**(-7))**(-1/25)/((k*k*k/(k/k**0)*((k/k**(-2)*k*k)/k)/k)/(k**(-1))**(20/7)) assuming k is positive.\n' | b'k**(-14317/1750)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ss when two letters picked without replacement from {w: 4, o: 5, g: 3, s: 4}.\n' | b'1/20\n' | b'Calculate prob of sequence ss when two letters picked without replacement from {w: 4, o: 5, g: 3, s: 4}.\n' | b'1/20\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 6}. What is prob of picking 2 t?\n' | b'1\n' | b'Two letters picked without replacement from {t: 6}. What is prob of picking 2 t?\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from iimnimmiinnm. What is prob of picking 1 n and 2 m?\n' | b'9/110\n' | b'Three letters picked without replacement from iimnimmiinnm. What is prob of picking 1 n and 2 m?\n' | b'9/110\n' | deepmind/math_dataset |
b'What is prob of sequence ay when two letters picked without replacement from {a: 9, y: 3}?\n' | b'9/44\n' | b'What is prob of sequence ay when two letters picked without replacement from {a: 9, y: 3}?\n' | b'9/44\n' | deepmind/math_dataset |
b'Simplify ((v/(v/(v/(v**(-7)/v*v))))/v*v*v/v**(3/2))/((v/(v**(2/9)*v)*v)/((v*v*v/((v**5/v*v)/v))/v)) assuming v is positive.\n' | b'v**(85/18)\n' | b'Simplify ((v/(v/(v/(v**(-7)/v*v))))/v*v*v/v**(3/2))/((v/(v**(2/9)*v)*v)/((v*v*v/((v**5/v*v)/v))/v)) assuming v is positive.\n' | b'v**(85/18)\n' | deepmind/math_dataset |
b'Simplify (h/h**(-2/13))/h**(-18)*h**(-38)/(h/h**18) assuming h is positive.\n' | b'h**(-24/13)\n' | b'Simplify (h/h**(-2/13))/h**(-18)*h**(-38)/(h/h**18) assuming h is positive.\n' | b'h**(-24/13)\n' | deepmind/math_dataset |
b'Suppose 0 = 3*m + 4*t - 68, -4*t = -5*m + 52 - 24. Solve -5*h + 4*d = 2, -2*h + 10 = -d + m for h.\n' | b'-2\n' | b'Suppose 0 = 3*m + 4*t - 68, -4*t = -5*m + 52 - 24. Solve -5*h + 4*d = 2, -2*h + 10 = -d + m for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -3*a - 10 + 37 = -3*w, 3*a + 3*w = 3. Let k be (-1)/2*(15 - 11). Let g = k + a. Solve 1 - 7 = g*f, 3*f = 2*r - 16 for r.\n' | b'5\n' | b'Suppose -3*a - 10 + 37 = -3*w, 3*a + 3*w = 3. Let k be (-1)/2*(15 - 11). Let g = k + a. Solve 1 - 7 = g*f, 3*f = 2*r - 16 for r.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -5*d = k - 19, 3*d - 1 + 4 = 3*k. Solve -4*i - 2 = -d*i + 4*o, 0 = o + 1 for i.\n' | b'2\n' | b'Suppose -5*d = k - 19, 3*d - 1 + 4 = 3*k. Solve -4*i - 2 = -d*i + 4*o, 0 = o + 1 for i.\n' | b'2\n' | deepmind/math_dataset |
b'Let i = 76 + -73. What is the third derivative of 10*k**2 - 16*k**i - 13*k**3 + 19*k**3 wrt k?\n' | b'-60\n' | b'Let i = 76 + -73. What is the third derivative of 10*k**2 - 16*k**i - 13*k**3 + 19*k**3 wrt k?\n' | b'-60\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ggggggggnn. What is prob of sequence nn?\n' | b'1/45\n' | b'Two letters picked without replacement from ggggggggnn. What is prob of sequence nn?\n' | b'1/45\n' | deepmind/math_dataset |
b'Let o be 1/(-3) + 38/6. Suppose -11 = 4*b + 1. Let z be ((-6)/b - 2)*1. Solve -5*h + 10 = z, o*p - p = 2*h - 4 for p.\n' | b'0\n' | b'Let o be 1/(-3) + 38/6. Suppose -11 = 4*b + 1. Let z be ((-6)/b - 2)*1. Solve -5*h + 10 = z, o*p - p = 2*h - 4 for p.\n' | b'0\n' | deepmind/math_dataset |
b'Find the first derivative of -12*o - 50 - 18*o + 21*o + 47*o wrt o.\n' | b'38\n' | b'Find the first derivative of -12*o - 50 - 18*o + 21*o + 47*o wrt o.\n' | b'38\n' | deepmind/math_dataset |
b'Let g(s) = s**2 + 3*s + 3. Suppose 15 = k - 6*k. Calculate g(k).\n' | b'3\n' | b'Let g(s) = s**2 + 3*s + 3. Suppose 15 = k - 6*k. Calculate g(k).\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fvvfkfccewkf. What is prob of picking 1 e and 1 w?\n' | b'1/66\n' | b'Two letters picked without replacement from fvvfkfccewkf. What is prob of picking 1 e and 1 w?\n' | b'1/66\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 2, f: 1, t: 1, p: 1, j: 1, z: 2}. Give prob of sequence jft.\n' | b'1/336\n' | b'Three letters picked without replacement from {w: 2, f: 1, t: 1, p: 1, j: 1, z: 2}. Give prob of sequence jft.\n' | b'1/336\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ymrrymryryryrymrr. What is prob of picking 2 y?\n' | b'15/136\n' | b'Two letters picked without replacement from ymrrymryryryrymrr. What is prob of picking 2 y?\n' | b'15/136\n' | deepmind/math_dataset |
b'Suppose -20*z = -24*z. Solve z = -4*k - 2*u - 3*u - 9, 3 = -4*k + u for k.\n' | b'-1\n' | b'Suppose -20*z = -24*z. Solve z = -4*k - 2*u - 3*u - 9, 3 = -4*k + u for k.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((h*h*h**(-16)*h)/(h*h**(1/5)))/((h**16*h*h)/h*h**(3/10)/h) assuming h is positive.\n' | b'h**(-61/2)\n' | b'Simplify ((h*h*h**(-16)*h)/(h*h**(1/5)))/((h**16*h*h)/h*h**(3/10)/h) assuming h is positive.\n' | b'h**(-61/2)\n' | deepmind/math_dataset |
b'Calculate prob of sequence hc when two letters picked without replacement from ccccccccccccccccchc.\n' | b'1/19\n' | b'Calculate prob of sequence hc when two letters picked without replacement from ccccccccccccccccchc.\n' | b'1/19\n' | deepmind/math_dataset |
b'Suppose 8*k = -0 + 40. Suppose -19*z + 24*z = k. What is the second derivative of 1 - 27*g + z - 2 + 3*g**5 wrt g?\n' | b'60*g**3\n' | b'Suppose 8*k = -0 + 40. Suppose -19*z + 24*z = k. What is the second derivative of 1 - 27*g + z - 2 + 3*g**5 wrt g?\n' | b'60*g**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 3, t: 9, d: 2, w: 3, o: 1, r: 1}. Give prob of picking 1 w and 1 o.\n' | b'1/57\n' | b'Two letters picked without replacement from {i: 3, t: 9, d: 2, w: 3, o: 1, r: 1}. Give prob of picking 1 w and 1 o.\n' | b'1/57\n' | deepmind/math_dataset |
b'Let q(p) = -p**2 - 9*p + 25. Let h be q(-11). Solve -2*j = -5*o - 0*j - 5, 0 = -3*o + h*j + 6 for o.\n' | b'-3\n' | b'Let q(p) = -p**2 - 9*p + 25. Let h be q(-11). Solve -2*j = -5*o - 0*j - 5, 0 = -3*o + h*j + 6 for o.\n' | b'-3\n' | deepmind/math_dataset |
b'Let p(x) = -2*x + 24. Let b be p(10). Suppose 0 = 3*o - b*f - 14 - 30, -45 = -5*o + f. Solve -5*w - 4*c = 16, w - o = -2*w + 2*c for w.\n' | b'0\n' | b'Let p(x) = -2*x + 24. Let b be p(10). Suppose 0 = 3*o - b*f - 14 - 30, -45 = -5*o + f. Solve -5*w - 4*c = 16, w - o = -2*w + 2*c for w.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 3*l = -0*l + 6. Suppose -3*w = 5*q - 8*w, 9 = l*q + w. Solve -3*h = -3*t + 6, q*t - 2*h - 3 = 4 for t.\n' | b'3\n' | b'Suppose 3*l = -0*l + 6. Suppose -3*w = 5*q - 8*w, 9 = l*q + w. Solve -3*h = -3*t + 6, q*t - 2*h - 3 = 4 for t.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -13 = -3*q - 3*s - 2*s, 8 = 4*s. Suppose -4*x = -3*w - 2*w - q, -5*w + 3 = -3*x. Solve x*p = m + 4, 3*m + 2 = -0*m + 2*p for m.\n' | b'0\n' | b'Suppose -13 = -3*q - 3*s - 2*s, 8 = 4*s. Suppose -4*x = -3*w - 2*w - q, -5*w + 3 = -3*x. Solve x*p = m + 4, 3*m + 2 = -0*m + 2*p for m.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 3 c and 1 y when four letters picked without replacement from hccccyccccccccccccc?\n' | b'10/57\n' | b'What is prob of picking 3 c and 1 y when four letters picked without replacement from hccccyccccccccccccc?\n' | b'10/57\n' | deepmind/math_dataset |
b'Let b(m) be the first derivative of m**3/3 - 3*m**2/2 + 12*m + 256. What is b(3)?\n' | b'12\n' | b'Let b(m) be the first derivative of m**3/3 - 3*m**2/2 + 12*m + 256. What is b(3)?\n' | b'12\n' | deepmind/math_dataset |
b'Let o(y) = 3*y**2 - 57*y + 115. Let g be o(2). Solve g + 10 = -5*h - 3*k, -18 = 5*h - 2*k for h.\n' | b'-4\n' | b'Let o(y) = 3*y**2 - 57*y + 115. Let g be o(2). Solve g + 10 = -5*h - 3*k, -18 = 5*h - 2*k for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Let r be (2*(-2)/3)/(-70). Let d(h) be the third derivative of r*h**7 + 2/3*h**3 + 0*h**6 + 0*h**4 + 0*h - 3*h**2 + 0*h**5 + 0. Differentiate d(g) wrt g.\n' | b'16*g**3\n' | b'Let r be (2*(-2)/3)/(-70). Let d(h) be the third derivative of r*h**7 + 2/3*h**3 + 0*h**6 + 0*h**4 + 0*h - 3*h**2 + 0*h**5 + 0. Differentiate d(g) wrt g.\n' | b'16*g**3\n' | deepmind/math_dataset |
b'Let f(v) = 1294*v - 8. Let i(n) = -1111*n + 7. Let l(h) = 6*f(h) + 7*i(h). Give l(2).\n' | b'-25\n' | b'Let f(v) = 1294*v - 8. Let i(n) = -1111*n + 7. Let l(h) = 6*f(h) + 7*i(h). Give l(2).\n' | b'-25\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 2, j: 6, q: 5, u: 1, c: 1, t: 2}. Give prob of sequence jqq.\n' | b'1/34\n' | b'Three letters picked without replacement from {d: 2, j: 6, q: 5, u: 1, c: 1, t: 2}. Give prob of sequence jqq.\n' | b'1/34\n' | deepmind/math_dataset |
b'Let w(d) be the first derivative of 1045*d**4/2 - 411*d**3 - 2*d - 4680. What is the third derivative of w(q) wrt q?\n' | b'12540\n' | b'Let w(d) be the first derivative of 1045*d**4/2 - 411*d**3 - 2*d - 4680. What is the third derivative of w(q) wrt q?\n' | b'12540\n' | deepmind/math_dataset |
b'Simplify ((g*(g*g**6)/g*g*g**(-6/11)*g)/((((g*g**(-4))/g)/g)/g*g/g**(1/5)))/(g/g**1*g**(-1)*(g**(2/5))**1) assuming g is positive.\n' | b'g**(784/55)\n' | b'Simplify ((g*(g*g**6)/g*g*g**(-6/11)*g)/((((g*g**(-4))/g)/g)/g*g/g**(1/5)))/(g/g**1*g**(-1)*(g**(2/5))**1) assuming g is positive.\n' | b'g**(784/55)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 4, u: 7, m: 3, i: 1, o: 1, l: 2}. Give prob of picking 1 l, 1 u, and 1 i.\n' | b'7/408\n' | b'Three letters picked without replacement from {g: 4, u: 7, m: 3, i: 1, o: 1, l: 2}. Give prob of picking 1 l, 1 u, and 1 i.\n' | b'7/408\n' | deepmind/math_dataset |
b'Let x = 25 + -14. Let n(p) = -51*p**2 + 29. Let o(i) = 26*i**2 - 15. Let y be (-10)/4*-2*6/5. Let r(h) = x*o(h) + y*n(h). What is the derivative of r(q) wrt q?\n' | b'-40*q\n' | b'Let x = 25 + -14. Let n(p) = -51*p**2 + 29. Let o(i) = 26*i**2 - 15. Let y be (-10)/4*-2*6/5. Let r(h) = x*o(h) + y*n(h). What is the derivative of r(q) wrt q?\n' | b'-40*q\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w and 1 s when three letters picked without replacement from {w: 2, o: 4, s: 2}.\n' | b'1/28\n' | b'Calculate prob of picking 2 w and 1 s when three letters picked without replacement from {w: 2, o: 4, s: 2}.\n' | b'1/28\n' | deepmind/math_dataset |
b'Suppose 0 = -g - 0 - 9. Let d be (-2)/(-4) + g/18. Let a = d + 5. Solve -2*i + 5*v = 24, a*i + 4*v + 1 - 7 = 0 for i.\n' | b'-2\n' | b'Suppose 0 = -g - 0 - 9. Let d be (-2)/(-4) + g/18. Let a = d + 5. Solve -2*i + 5*v = 24, a*i + 4*v + 1 - 7 = 0 for i.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 3, y: 5, d: 1}. What is prob of picking 1 d and 1 i?\n' | b'1/12\n' | b'Two letters picked without replacement from {i: 3, y: 5, d: 1}. What is prob of picking 1 d and 1 i?\n' | b'1/12\n' | deepmind/math_dataset |
b'Let r be (6 + -3)/(0/4 + 1). Suppose -r*j = -j - 40. Let z(c) = c**3 - 3*c**2 - 4*c + 3. Let s be z(4). Solve 3*o = s*n - 6, -3*o - j = -0*n + 4*n for o.\n' | b'-4\n' | b'Let r be (6 + -3)/(0/4 + 1). Suppose -r*j = -j - 40. Let z(c) = c**3 - 3*c**2 - 4*c + 3. Let s be z(4). Solve 3*o = s*n - 6, -3*o - j = -0*n + 4*n for o.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 9, u: 2, b: 3, i: 2, d: 1, k: 1}. Give prob of sequence ldk.\n' | b'1/544\n' | b'Three letters picked without replacement from {l: 9, u: 2, b: 3, i: 2, d: 1, k: 1}. Give prob of sequence ldk.\n' | b'1/544\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hshwuwhwsxi. Give prob of sequence uwis.\n' | b'1/1320\n' | b'Four letters picked without replacement from hshwuwhwsxi. Give prob of sequence uwis.\n' | b'1/1320\n' | deepmind/math_dataset |
b'Simplify (((r**2/r*(r**(-5)/r)/r)/(r**1)**(-12/5))**(7/9))**(-3) assuming r is positive.\n' | b'r**(42/5)\n' | b'Simplify (((r**2/r*(r**(-5)/r)/r)/(r**1)**(-12/5))**(7/9))**(-3) assuming r is positive.\n' | b'r**(42/5)\n' | deepmind/math_dataset |
b'What is prob of sequence grrg when four letters picked without replacement from rgggggrgggggggggggg?\n' | b'1/171\n' | b'What is prob of sequence grrg when four letters picked without replacement from rgggggrgggggggggggg?\n' | b'1/171\n' | deepmind/math_dataset |
b'Let q be (1/2)/((-3)/(-24)). Solve 5*p + 0*f + q*f = 4, 4*f = 5*p - 36 for p.\n' | b'4\n' | b'Let q be (1/2)/((-3)/(-24)). Solve 5*p + 0*f + q*f = 4, 4*f = 5*p - 36 for p.\n' | b'4\n' | deepmind/math_dataset |
b'Let k(l) be the first derivative of -4*l + 334*l**2 - 9*l - 333*l**2 - 24. Calculate k(9).\n' | b'5\n' | b'Let k(l) be the first derivative of -4*l + 334*l**2 - 9*l - 333*l**2 - 24. Calculate k(9).\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -4*h = -5*h + 7. Let o be (70/h)/((-2)/(-1)). Solve -4*j = -3*p, -5*j + 2*p + 3*p + o = 0 for j.\n' | b'-3\n' | b'Suppose -4*h = -5*h + 7. Let o be (70/h)/((-2)/(-1)). Solve -4*j = -3*p, -5*j + 2*p + 3*p + o = 0 for j.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 2, h: 10, w: 1, q: 3, o: 3}. What is prob of picking 2 i?\n' | b'1/171\n' | b'Two letters picked without replacement from {i: 2, h: 10, w: 1, q: 3, o: 3}. What is prob of picking 2 i?\n' | b'1/171\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 2 z when three letters picked without replacement from zzzcczzczzzzzc.\n' | b'45/91\n' | b'Calculate prob of picking 1 c and 2 z when three letters picked without replacement from zzzcczzczzzzzc.\n' | b'45/91\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 4, l: 4, v: 3}. Give prob of sequence lala.\n' | b'1/55\n' | b'Four letters picked without replacement from {a: 4, l: 4, v: 3}. Give prob of sequence lala.\n' | b'1/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qaaqeqqaddujqqda. What is prob of picking 1 q and 1 u?\n' | b'1/20\n' | b'Two letters picked without replacement from qaaqeqqaddujqqda. What is prob of picking 1 q and 1 u?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let c(z) = -z**3 - 8*z**2 + 6. Let s = -6 - -58. Suppose 10*o + s = -18. Determine c(o).\n' | b'-43\n' | b'Let c(z) = -z**3 - 8*z**2 + 6. Let s = -6 - -58. Suppose 10*o + s = -18. Determine c(o).\n' | b'-43\n' | deepmind/math_dataset |
b'Suppose 0 = q + 3. Let g = 1 - q. What is the derivative of -g*z**3 - 1 + 2*z**3 - 1 wrt z?\n' | b'-6*z**2\n' | b'Suppose 0 = q + 3. Let g = 1 - q. What is the derivative of -g*z**3 - 1 + 2*z**3 - 1 wrt z?\n' | b'-6*z**2\n' | deepmind/math_dataset |
b'Let u(c) = 8*c - 7. Let x(i) = -7*i + 6. Let y(a) = 6*u(a) + 7*x(a). Let m(j) = j**3 - 3*j**2 + 3*j - 3. Let o be m(3). Give y(o).\n' | b'-6\n' | b'Let u(c) = 8*c - 7. Let x(i) = -7*i + 6. Let y(a) = 6*u(a) + 7*x(a). Let m(j) = j**3 - 3*j**2 + 3*j - 3. Let o be m(3). Give y(o).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (((f**7*f)/(f/f**(2/3)))/(f*f**(-1/2)*f/(f/(f*f/f**(-2/9)))))/(((f*f*f*f**5*f*f)/f*f/f**(-3))/(f**(2/7)*f*f**(-6))) assuming f is positive.\n' | b'f**(-1609/126)\n' | b'Simplify (((f**7*f)/(f/f**(2/3)))/(f*f**(-1/2)*f/(f/(f*f/f**(-2/9)))))/(((f*f*f*f**5*f*f)/f*f/f**(-3))/(f**(2/7)*f*f**(-6))) assuming f is positive.\n' | b'f**(-1609/126)\n' | deepmind/math_dataset |
b'Let f = -39 - -41. What is the third derivative of -19*u**2 + 19*u**f - 10*u**3 + 12*u**2 wrt u?\n' | b'-60\n' | b'Let f = -39 - -41. What is the third derivative of -19*u**2 + 19*u**f - 10*u**3 + 12*u**2 wrt u?\n' | b'-60\n' | deepmind/math_dataset |
b'Let t(o) be the third derivative of -o**7/420 - o**5/60 - 2*o**3/3 - 3*o**2. Let f(b) be the first derivative of t(b). Find the second derivative of f(n) wrt n.\n' | b'-12*n\n' | b'Let t(o) be the third derivative of -o**7/420 - o**5/60 - 2*o**3/3 - 3*o**2. Let f(b) be the first derivative of t(b). Find the second derivative of f(n) wrt n.\n' | b'-12*n\n' | deepmind/math_dataset |
b'Simplify ((t**(-5)*t*(t*t**(13/3))/t)**(-16))**(3/34) assuming t is positive.\n' | b't**(-8/17)\n' | b'Simplify ((t**(-5)*t*(t*t**(13/3))/t)**(-16))**(3/34) assuming t is positive.\n' | b't**(-8/17)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from iwwbiibiiwiiwp. What is prob of picking 1 w, 1 b, 1 p, and 1 i?\n' | b'8/143\n' | b'Four letters picked without replacement from iwwbiibiiwiiwp. What is prob of picking 1 w, 1 b, 1 p, and 1 i?\n' | b'8/143\n' | deepmind/math_dataset |
b'Simplify ((m*(m/m**0)/m)**4*(m**1)**(-4))/((m*m/m**(-1/8)*m)/(m/m**(-1/6))*((m**(-4/7)/m)/m)/(m**4/m)) assuming m is positive.\n' | b'm**(607/168)\n' | b'Simplify ((m*(m/m**0)/m)**4*(m**1)**(-4))/((m*m/m**(-1/8)*m)/(m/m**(-1/6))*((m**(-4/7)/m)/m)/(m**4/m)) assuming m is positive.\n' | b'm**(607/168)\n' | deepmind/math_dataset |
b'Simplify (x**(-11)/x**5)**(-2/19) assuming x is positive.\n' | b'x**(32/19)\n' | b'Simplify (x**(-11)/x**5)**(-2/19) assuming x is positive.\n' | b'x**(32/19)\n' | deepmind/math_dataset |
b'What is prob of picking 2 f and 2 e when four letters picked without replacement from fefffef?\n' | b'2/7\n' | b'What is prob of picking 2 f and 2 e when four letters picked without replacement from fefffef?\n' | b'2/7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 2, t: 3, q: 2, x: 5}. Give prob of sequence xxqq.\n' | b'1/297\n' | b'Four letters picked without replacement from {k: 2, t: 3, q: 2, x: 5}. Give prob of sequence xxqq.\n' | b'1/297\n' | deepmind/math_dataset |
b'Let p be 0/(2*5/(-10)). Solve 5*m - 20 = p, 3*l = 4*l - 5*m + 22 for l.\n' | b'-2\n' | b'Let p be 0/(2*5/(-10)). Solve 5*m - 20 = p, 3*l = 4*l - 5*m + 22 for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Let u(y) = -y**3 + 9*y**2 - 4*y - 12. Let q be u(8). What is the second derivative of -41*v**4 + q*v + 82*v**4 - 3 + 2*v**2 + 8*v wrt v?\n' | b'492*v**2 + 4\n' | b'Let u(y) = -y**3 + 9*y**2 - 4*y - 12. Let q be u(8). What is the second derivative of -41*v**4 + q*v + 82*v**4 - 3 + 2*v**2 + 8*v wrt v?\n' | b'492*v**2 + 4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 1, m: 1, r: 1}. What is prob of sequence arm?\n' | b'1/6\n' | b'Three letters picked without replacement from {a: 1, m: 1, r: 1}. What is prob of sequence arm?\n' | b'1/6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 3, b: 2}. Give prob of sequence lllb.\n' | b'1/10\n' | b'Four letters picked without replacement from {l: 3, b: 2}. Give prob of sequence lllb.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let y = 33 + -30. Suppose 2*w = 3*h - 11, -2*w + y = -3*w + h. Find the third derivative of -w*u**4 - 4*u**2 + 0*u**2 + 2*u**2 wrt u.\n' | b'-48*u\n' | b'Let y = 33 + -30. Suppose 2*w = 3*h - 11, -2*w + y = -3*w + h. Find the third derivative of -w*u**4 - 4*u**2 + 0*u**2 + 2*u**2 wrt u.\n' | b'-48*u\n' | deepmind/math_dataset |
b'Three letters picked without replacement from izzzzyyyziaizwyfaf. What is prob of sequence fzi?\n' | b'1/136\n' | b'Three letters picked without replacement from izzzzyyyziaizwyfaf. What is prob of sequence fzi?\n' | b'1/136\n' | deepmind/math_dataset |
b'Let o be 2/(-11) + (6 - (-873)/(-99)). Let h(u) = 5*u**2 - 9*u - 12. Let x(n) = -12*n**2 + 18*n + 23. Let s(q) = o*x(q) - 7*h(q). Determine s(-6).\n' | b'-3\n' | b'Let o be 2/(-11) + (6 - (-873)/(-99)). Let h(u) = 5*u**2 - 9*u - 12. Let x(n) = -12*n**2 + 18*n + 23. Let s(q) = o*x(q) - 7*h(q). Determine s(-6).\n' | b'-3\n' | deepmind/math_dataset |
b'Let w(u) be the first derivative of -3/5*u**5 - 5 + 0*u**4 + 0*u + 0*u**3 + 2*u**2. What is the second derivative of w(i) wrt i?\n' | b'-36*i**2\n' | b'Let w(u) be the first derivative of -3/5*u**5 - 5 + 0*u**4 + 0*u + 0*u**3 + 2*u**2. What is the second derivative of w(i) wrt i?\n' | b'-36*i**2\n' | deepmind/math_dataset |
b'Simplify ((((o**(1/28)*o)/o)/o*o)/o)**(-31/3)*o**(-2/47)*(o**1/o)/o assuming o is positive.\n' | b'o**(11741/1316)\n' | b'Simplify ((((o**(1/28)*o)/o)/o*o)/o)**(-31/3)*o**(-2/47)*(o**1/o)/o assuming o is positive.\n' | b'o**(11741/1316)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 4, j: 1, z: 1, g: 1, d: 1, q: 4}. What is prob of picking 1 g, 2 d, and 1 r?\n' | b'0\n' | b'Four letters picked without replacement from {r: 4, j: 1, z: 1, g: 1, d: 1, q: 4}. What is prob of picking 1 g, 2 d, and 1 r?\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 2 t when three letters picked without replacement from {k: 3, t: 4, o: 2, q: 1}.\n' | b'3/20\n' | b'Calculate prob of picking 1 k and 2 t when three letters picked without replacement from {k: 3, t: 4, o: 2, q: 1}.\n' | b'3/20\n' | deepmind/math_dataset |
b'Simplify ((j/j**(-2))/(j/(j/(j*j/j**(-1/10)*j))))**17 assuming j is positive.\n' | b'j**(-17/10)\n' | b'Simplify ((j/j**(-2))/(j/(j/(j*j/j**(-1/10)*j))))**17 assuming j is positive.\n' | b'j**(-17/10)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from laapcap. Give prob of sequence lcap.\n' | b'1/140\n' | b'Four letters picked without replacement from laapcap. Give prob of sequence lcap.\n' | b'1/140\n' | deepmind/math_dataset |
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