question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Let j = 507 - 38. Let d(v) = -7 + j*v + v**2 - 464*v - 3 + 2. Determine d(-6).\n' | b'-2\n' | b'Let j = 507 - 38. Let d(v) = -7 + j*v + v**2 - 464*v - 3 + 2. Determine d(-6).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (((v*v**(-2/3)/v*v)/v)/v**7)**(-35) assuming v is positive.\n' | b'v**(805/3)\n' | b'Simplify (((v*v**(-2/3)/v*v)/v)/v**7)**(-35) assuming v is positive.\n' | b'v**(805/3)\n' | deepmind/math_dataset |
b'Suppose 0 = -5*o - 5*k - 17 + 57, -8 = -4*k. Let u(s) = -2*s**3 + 13*s**2 - 9*s + 1. Determine u(o).\n' | b'-17\n' | b'Suppose 0 = -5*o - 5*k - 17 + 57, -8 = -4*k. Let u(s) = -2*s**3 + 13*s**2 - 9*s + 1. Determine u(o).\n' | b'-17\n' | deepmind/math_dataset |
b'Let g(i) = -i**3 - 4*i + 5*i - 4 + 3 + i**2. Let y be -1 - (-3 + (3 - 3)). What is g(y)?\n' | b'-3\n' | b'Let g(i) = -i**3 - 4*i + 5*i - 4 + 3 + i**2. Let y be -1 - (-3 + (3 - 3)). What is g(y)?\n' | b'-3\n' | deepmind/math_dataset |
b'Let c(l) = -155*l**2 - 33*l + 5. Let t(b) = 5 + 2*b**2 - 12 + b + 6 + 2 - b**2. Let k(o) = c(o) - 5*t(o). What is the second derivative of k(j) wrt j?\n' | b'-320\n' | b'Let c(l) = -155*l**2 - 33*l + 5. Let t(b) = 5 + 2*b**2 - 12 + b + 6 + 2 - b**2. Let k(o) = c(o) - 5*t(o). What is the second derivative of k(j) wrt j?\n' | b'-320\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mfcxccmmlxxcxmcchcm. What is prob of sequence xlmm?\n' | b'5/5814\n' | b'Four letters picked without replacement from mfcxccmmlxxcxmcchcm. What is prob of sequence xlmm?\n' | b'5/5814\n' | deepmind/math_dataset |
b'Let k(i) = -4*i**2 - 6*i + 11. Let t = 10707 - 10705. Give k(t).\n' | b'-17\n' | b'Let k(i) = -4*i**2 - 6*i + 11. Let t = 10707 - 10705. Give k(t).\n' | b'-17\n' | deepmind/math_dataset |
b'Two letters picked without replacement from juueueueueujeue. What is prob of picking 2 u?\n' | b'1/5\n' | b'Two letters picked without replacement from juueueueueujeue. What is prob of picking 2 u?\n' | b'1/5\n' | deepmind/math_dataset |
b'Calculate prob of sequence xx when two letters picked without replacement from xmxxxnnnxnx.\n' | b'3/11\n' | b'Calculate prob of sequence xx when two letters picked without replacement from xmxxxnnnxnx.\n' | b'3/11\n' | deepmind/math_dataset |
b'Let g(j) = -j. Let a = 21 + -20. Let h(s) = s + 9. Let c(w) = a*h(w) - 3*g(w). What is the first derivative of c(f) wrt f?\n' | b'4\n' | b'Let g(j) = -j. Let a = 21 + -20. Let h(s) = s + 9. Let c(w) = a*h(w) - 3*g(w). What is the first derivative of c(f) wrt f?\n' | b'4\n' | deepmind/math_dataset |
b'Let q(n) be the second derivative of -206*n**3/3 - 33*n**2 + 2*n + 51. Differentiate q(l) wrt l.\n' | b'-412\n' | b'Let q(n) be the second derivative of -206*n**3/3 - 33*n**2 + 2*n + 51. Differentiate q(l) wrt l.\n' | b'-412\n' | deepmind/math_dataset |
b'Simplify ((j**(-2/5))**(4/3))**(1/4)/(((j/j**(2/3))/j**(1/5))/(j**(2/7))**(1/21)) assuming j is positive.\n' | b'j**(-62/245)\n' | b'Simplify ((j**(-2/5))**(4/3))**(1/4)/(((j/j**(2/3))/j**(1/5))/(j**(2/7))**(1/21)) assuming j is positive.\n' | b'j**(-62/245)\n' | deepmind/math_dataset |
b'Let b(o) = -5*o + 88. Let n be b(31). Let p = n + 76. Let f(a) = -a**3 + 9*a**2 + 2*a - 10. What is f(p)?\n' | b'8\n' | b'Let b(o) = -5*o + 88. Let n be b(31). Let p = n + 76. Let f(a) = -a**3 + 9*a**2 + 2*a - 10. What is f(p)?\n' | b'8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 1, v: 2, d: 2, y: 1, o: 1}. What is prob of sequence dp?\n' | b'1/21\n' | b'Two letters picked without replacement from {p: 1, v: 2, d: 2, y: 1, o: 1}. What is prob of sequence dp?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let n(z) = z**3 - 31*z**2 + 32*z - 77. Let f = -8374 + 8404. What is n(f)?\n' | b'-17\n' | b'Let n(z) = z**3 - 31*z**2 + 32*z - 77. Let f = -8374 + 8404. What is n(f)?\n' | b'-17\n' | deepmind/math_dataset |
b'Let o(x) = -981*x**3 - 709*x + 4. Let g(y) = -980*y**3 - 708*y + 5. Let r(w) = 4*g(w) - 5*o(w). Find the second derivative of r(b) wrt b.\n' | b'5910*b\n' | b'Let o(x) = -981*x**3 - 709*x + 4. Let g(y) = -980*y**3 - 708*y + 5. Let r(w) = 4*g(w) - 5*o(w). Find the second derivative of r(b) wrt b.\n' | b'5910*b\n' | deepmind/math_dataset |
b'Let d = -1 + 3. Let u(z) = 16*z + 1364. Let v be u(-85). Suppose 2 = s - 3*l + 2*l, -d*s = -v*l. Solve x = 3*x + s*n - 20, 5*n - 11 = x for x.\n' | b'4\n' | b'Let d = -1 + 3. Let u(z) = 16*z + 1364. Let v be u(-85). Suppose 2 = s - 3*l + 2*l, -d*s = -v*l. Solve x = 3*x + s*n - 20, 5*n - 11 = x for x.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (g**21/g)**(-4/5) assuming g is positive.\n' | b'g**(-16)\n' | b'Simplify (g**21/g)**(-4/5) assuming g is positive.\n' | b'g**(-16)\n' | deepmind/math_dataset |
b'Simplify (h**(-5)/h**(-1/48)*h*h/(h**10*h)*h**(-38))**(-37/4) assuming h is positive.\n' | b'h**(92315/192)\n' | b'Simplify (h**(-5)/h**(-1/48)*h*h/(h**10*h)*h**(-38))**(-37/4) assuming h is positive.\n' | b'h**(92315/192)\n' | deepmind/math_dataset |
b'Simplify p**(-1/3)/p**(2/9)*p/(p*p**1*p)*p*p**(-2)/p assuming p is positive.\n' | b'p**(-41/9)\n' | b'Simplify p**(-1/3)/p**(2/9)*p/(p*p**1*p)*p*p**(-2)/p assuming p is positive.\n' | b'p**(-41/9)\n' | deepmind/math_dataset |
b'Simplify (((w/w**(7/4)*w*w**(3/4))/(w/w**(-1/5))**(2/177))**29)**(-2/53) assuming w is positive.\n' | b'w**(-16878/15635)\n' | b'Simplify (((w/w**(7/4)*w*w**(3/4))/(w/w**(-1/5))**(2/177))**29)**(-2/53) assuming w is positive.\n' | b'w**(-16878/15635)\n' | deepmind/math_dataset |
b'Let p be 55/(-330) + (-43)/(-6). Suppose 2*g = 2*x - 26, 5*g + p*x + 53 = 9*x. Let w(s) = s + 5. Determine w(g).\n' | b'-4\n' | b'Let p be 55/(-330) + (-43)/(-6). Suppose 2*g = 2*x - 26, 5*g + p*x + 53 = 9*x. Let w(s) = s + 5. Determine w(g).\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 y, 1 l, and 1 t when four letters picked without replacement from {l: 6, y: 4, t: 4}.\n' | b'144/1001\n' | b'Calculate prob of picking 2 y, 1 l, and 1 t when four letters picked without replacement from {l: 6, y: 4, t: 4}.\n' | b'144/1001\n' | deepmind/math_dataset |
b'Let m = -6 + 10. Let u be m/(-1*2/(-8)). Let a = u - 10. Solve -4*z + 9*z + 14 = s, 0 = s - z - a for s.\n' | b'4\n' | b'Let m = -6 + 10. Let u be m/(-1*2/(-8)). Let a = u - 10. Solve -4*z + 9*z + 14 = s, 0 = s - z - a for s.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (q/(q**(-1)*q))**(1/32)/(q*(q*q**(-4))/q*(q*q*(q/q**(-6/7))/q)/q) assuming q is positive.\n' | b'q**(263/224)\n' | b'Simplify (q/(q**(-1)*q))**(1/32)/(q*(q*q**(-4))/q*(q*q*(q/q**(-6/7))/q)/q) assuming q is positive.\n' | b'q**(263/224)\n' | deepmind/math_dataset |
b'Let q(x) = x**2 + 2*x + 2. Let v = 4 + 0. Let s(b) = b**2 - 4*b + 5. Let z be s(v). Let n be z/(-3) + 1/(-3). Calculate q(n).\n' | b'2\n' | b'Let q(x) = x**2 + 2*x + 2. Let v = 4 + 0. Let s(b) = b**2 - 4*b + 5. Let z be s(v). Let n be z/(-3) + 1/(-3). Calculate q(n).\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 8 = 6*g + 2. Let m be (-5)/2*72/(-30)*g. Solve 20 - m = 4*w + 2*o, -3*w + 7 = -2*o for w.\n' | b'3\n' | b'Suppose 8 = 6*g + 2. Let m be (-5)/2*72/(-30)*g. Solve 20 - m = 4*w + 2*o, -3*w + 7 = -2*o for w.\n' | b'3\n' | deepmind/math_dataset |
b'Let c(s) be the third derivative of -s**5/120 - s**4/12 + 3*s**3/2 + 5*s**2. Let g(v) be the first derivative of c(v). Calculate g(6).\n' | b'-8\n' | b'Let c(s) be the third derivative of -s**5/120 - s**4/12 + 3*s**3/2 + 5*s**2. Let g(v) be the first derivative of c(v). Calculate g(6).\n' | b'-8\n' | deepmind/math_dataset |
b'Let u(h) = h**3 + h - 4. Suppose 1 - 3 = -o. Let q = 2 + 3. Suppose -o*z + 3*z = r, q*z - 2*r = 0. Give u(z).\n' | b'-4\n' | b'Let u(h) = h**3 + h - 4. Suppose 1 - 3 = -o. Let q = 2 + 3. Suppose -o*z + 3*z = r, q*z - 2*r = 0. Give u(z).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 4*q - 40 = -4*k, -3*q = 12*k - 10*k - 27. Solve 0 = -5*r - 3*t + 16, q*t = -r + 2*t - 10 for r.\n' | b'5\n' | b'Suppose 4*q - 40 = -4*k, -3*q = 12*k - 10*k - 27. Solve 0 = -5*r - 3*t + 16, q*t = -r + 2*t - 10 for r.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence wd when two letters picked without replacement from wddlwdwwwdwwh?\n' | b'7/39\n' | b'What is prob of sequence wd when two letters picked without replacement from wddlwdwwwdwwh?\n' | b'7/39\n' | deepmind/math_dataset |
b'Let o(q) = -27*q**3 - 5*q**2 - 6*q - 57. Let u(k) = 14*k**3 + 3*k**2 + 3*k + 28. Let c(g) = -3*o(g) - 5*u(g). Differentiate c(f) with respect to f.\n' | b'33*f**2 + 3\n' | b'Let o(q) = -27*q**3 - 5*q**2 - 6*q - 57. Let u(k) = 14*k**3 + 3*k**2 + 3*k + 28. Let c(g) = -3*o(g) - 5*u(g). Differentiate c(f) with respect to f.\n' | b'33*f**2 + 3\n' | deepmind/math_dataset |
b'Let j(c) be the second derivative of -c**5/20 + c**4/3 + c**3 + c**2/2 - 5*c. Let b(d) = -d**3 + 6*d**2 - 3*d + 23. Let z be b(6). Give j(z).\n' | b'6\n' | b'Let j(c) be the second derivative of -c**5/20 + c**4/3 + c**3 + c**2/2 - 5*c. Let b(d) = -d**3 + 6*d**2 - 3*d + 23. Let z be b(6). Give j(z).\n' | b'6\n' | deepmind/math_dataset |
b'Let x(g) = -g**2 - 10*g - 6. Let z(j) be the second derivative of j**4/12 - 13*j**3/6 + 33*j**2/2 + 26*j. Let u be z(6). Calculate x(u).\n' | b'3\n' | b'Let x(g) = -g**2 - 10*g - 6. Let z(j) be the second derivative of j**4/12 - 13*j**3/6 + 33*j**2/2 + 26*j. Let u be z(6). Calculate x(u).\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from enessseenssieyiesi. What is prob of sequence niyn?\n' | b'1/12240\n' | b'Four letters picked without replacement from enessseenssieyiesi. What is prob of sequence niyn?\n' | b'1/12240\n' | deepmind/math_dataset |
b'Let w be 56/21 + (-4)/6. Let b be w*(-15)/(-6) - 2. Let o(l) = -983*l + 495*l - l**2 + 2 + 488*l. Give o(b).\n' | b'-7\n' | b'Let w be 56/21 + (-4)/6. Let b be w*(-15)/(-6) - 2. Let o(l) = -983*l + 495*l - l**2 + 2 + 488*l. Give o(b).\n' | b'-7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iszkzows. What is prob of sequence kw?\n' | b'1/56\n' | b'Two letters picked without replacement from iszkzows. What is prob of sequence kw?\n' | b'1/56\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 1 v when two letters picked without replacement from vwfwawvvvfnn.\n' | b'2/11\n' | b'Calculate prob of picking 1 w and 1 v when two letters picked without replacement from vwfwawvvvfnn.\n' | b'2/11\n' | deepmind/math_dataset |
b'Simplify (((h**(-2)/h)/((h*(h/h**(3/5))/h*h)/h*h))/(h**(-2/3)/h**(-5/4)))**(-7/12) assuming h is positive.\n' | b'h**(2093/720)\n' | b'Simplify (((h**(-2)/h)/((h*(h/h**(3/5))/h*h)/h*h))/(h**(-2/3)/h**(-5/4)))**(-7/12) assuming h is positive.\n' | b'h**(2093/720)\n' | deepmind/math_dataset |
b'Simplify (((s/(s/(s/((s**(-2)/s*s*s)/s)))*s**(-1/4))/(s**(-1/3)/(s**(-6)/s)))**15)**(-1) assuming s is positive.\n' | b's**(235/4)\n' | b'Simplify (((s/(s/(s/((s**(-2)/s*s*s)/s)))*s**(-1/4))/(s**(-1/3)/(s**(-6)/s)))**15)**(-1) assuming s is positive.\n' | b's**(235/4)\n' | deepmind/math_dataset |
b'Let u(r) = -6*r - 3. Let w(x) = -x + 1. Let j(h) = -u(h) + 4*w(h). Suppose 47 = -2*v - 5*o, -5*v + o = -6*v - 22. Let l be (14/v)/(3/(-3))*-12. Determine j(l).\n' | b'-9\n' | b'Let u(r) = -6*r - 3. Let w(x) = -x + 1. Let j(h) = -u(h) + 4*w(h). Suppose 47 = -2*v - 5*o, -5*v + o = -6*v - 22. Let l be (14/v)/(3/(-3))*-12. Determine j(l).\n' | b'-9\n' | deepmind/math_dataset |
b'Suppose 3*j - 11 = 5*f, -5 + 42 = j + 5*f. Differentiate j*b - 16*b + 9*b - 6 wrt b.\n' | b'5\n' | b'Suppose 3*j - 11 = 5*f, -5 + 42 = j + 5*f. Differentiate j*b - 16*b + 9*b - 6 wrt b.\n' | b'5\n' | deepmind/math_dataset |
b'Let g(r) be the first derivative of r**4/4 - 5*r**3 + 7*r**2 - 13*r - 1428. Calculate g(14).\n' | b'-13\n' | b'Let g(r) be the first derivative of r**4/4 - 5*r**3 + 7*r**2 - 13*r - 1428. Calculate g(14).\n' | b'-13\n' | deepmind/math_dataset |
b'Let r(l) = -l**3 + 3*l**2 + 6*l - 6. Let w be r(4). Let o be 1 + (-1)/(-1)*1. Suppose 0 = 6*g - 18 + 6. Solve 3*a - w*y = 6, g*y + o + 4 = 5*a for a.\n' | b'0\n' | b'Let r(l) = -l**3 + 3*l**2 + 6*l - 6. Let w be r(4). Let o be 1 + (-1)/(-1)*1. Suppose 0 = 6*g - 18 + 6. Solve 3*a - w*y = 6, g*y + o + 4 = 5*a for a.\n' | b'0\n' | deepmind/math_dataset |
b'Let o(d) = 4*d**2. Let i be o(-1). Suppose 4*t - 5*t - 2*u = -10, 8 = -4*t + i*u. Solve -t*p - 3*w - 27 = 2*w, -2*w - 11 = p for p.\n' | b'-1\n' | b'Let o(d) = 4*d**2. Let i be o(-1). Suppose 4*t - 5*t - 2*u = -10, 8 = -4*t + i*u. Solve -t*p - 3*w - 27 = 2*w, -2*w - 11 = p for p.\n' | b'-1\n' | deepmind/math_dataset |
b'Let a(q) = -2*q - 1. Let v be a(-2). Let l = -378 - -404. Let k(f) = 6*f**2 - 1. Let s be k(-1). Solve v*u = -s*b - l, 0 = u + 2 for b.\n' | b'-4\n' | b'Let a(q) = -2*q - 1. Let v be a(-2). Let l = -378 - -404. Let k(f) = 6*f**2 - 1. Let s be k(-1). Solve v*u = -s*b - l, 0 = u + 2 for b.\n' | b'-4\n' | deepmind/math_dataset |
b'Let q(g) = -569*g + 567*g + 18 - 69. What is q(-29)?\n' | b'7\n' | b'Let q(g) = -569*g + 567*g + 18 - 69. What is q(-29)?\n' | b'7\n' | deepmind/math_dataset |
b'What is the third derivative of -5*l**5 + 205*l**4 - 9*l**2 - 205*l**4 wrt l?\n' | b'-300*l**2\n' | b'What is the third derivative of -5*l**5 + 205*l**4 - 9*l**2 - 205*l**4 wrt l?\n' | b'-300*l**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 1, t: 1, a: 1, o: 7, j: 7}. What is prob of sequence tora?\n' | b'1/8160\n' | b'Four letters picked without replacement from {r: 1, t: 1, a: 1, o: 7, j: 7}. What is prob of sequence tora?\n' | b'1/8160\n' | deepmind/math_dataset |
b'Simplify (((x**(-2/9)*(x**(2/13)/x)/x*x*x)/(x/(x/(x*x**(2/3))))**(7/4))**(-20))**(-40) assuming x is positive.\n' | b'x**(-279400/117)\n' | b'Simplify (((x**(-2/9)*(x**(2/13)/x)/x*x*x)/(x/(x/(x*x**(2/3))))**(7/4))**(-20))**(-40) assuming x is positive.\n' | b'x**(-279400/117)\n' | deepmind/math_dataset |
b'Suppose -w + 6 = 3*h, h + 1 = -3*w - 5. Solve a + 2 = -k, k = -2*a + h*k - 4 for a.\n' | b'-2\n' | b'Suppose -w + 6 = 3*h, h + 1 = -3*w - 5. Solve a + 2 = -k, k = -2*a + h*k - 4 for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Let w(m) = 2 - 5*m**3 + 7*m**3 + m - 12*m**2 + 14 - 3*m**3. Give w(-12).\n' | b'4\n' | b'Let w(m) = 2 - 5*m**3 + 7*m**3 + m - 12*m**2 + 14 - 3*m**3. Give w(-12).\n' | b'4\n' | deepmind/math_dataset |
b'Let k(p) be the third derivative of -p**9/60480 + p**7/5040 + 7*p**6/720 + 7*p**5/15 + 20*p**2. Let l(f) be the third derivative of k(f). Determine l(0).\n' | b'7\n' | b'Let k(p) be the third derivative of -p**9/60480 + p**7/5040 + 7*p**6/720 + 7*p**5/15 + 20*p**2. Let l(f) be the third derivative of k(f). Determine l(0).\n' | b'7\n' | deepmind/math_dataset |
b'Let f(y) be the second derivative of -y**6/40 + 11*y**5/60 + y**2/2 - 2*y. Let r(q) be the first derivative of f(q). What is the third derivative of r(k) wrt k?\n' | b'-18\n' | b'Let f(y) be the second derivative of -y**6/40 + 11*y**5/60 + y**2/2 - 2*y. Let r(q) be the first derivative of f(q). What is the third derivative of r(k) wrt k?\n' | b'-18\n' | deepmind/math_dataset |
b'Suppose 5*k = 1 - 16. Let u be 10/k*(-12)/8. Solve u*g = 5*r, -5 = 2*r + g - 2 for r.\n' | b'-1\n' | b'Suppose 5*k = 1 - 16. Let u be 10/k*(-12)/8. Solve u*g = 5*r, -5 = 2*r + g - 2 for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Let h(a) = -a**3. Let z be (3 + (-1 - (-21)/(49/(-7))))*1. Give h(z).\n' | b'1\n' | b'Let h(a) = -a**3. Let z be (3 + (-1 - (-21)/(49/(-7))))*1. Give h(z).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((b/b**(-8))/(b*b**(-20))*((b**3*b*b)/b*b)/b**2)**(-2/41) assuming b is positive.\n' | b'b**(-62/41)\n' | b'Simplify ((b/b**(-8))/(b*b**(-20))*((b**3*b*b)/b*b)/b**2)**(-2/41) assuming b is positive.\n' | b'b**(-62/41)\n' | deepmind/math_dataset |
b'Let m(p) = 2*p + 11. Suppose 9*n + 382 = -2*r + 13*n, -20 = 4*n. Let k = r - -193. Calculate m(k).\n' | b'-5\n' | b'Let m(p) = 2*p + 11. Suppose 9*n + 382 = -2*r + 13*n, -20 = 4*n. Let k = r - -193. Calculate m(k).\n' | b'-5\n' | deepmind/math_dataset |
b'Let i(h) be the third derivative of -5*h**7/7 + 11*h**4/8 + 146*h**2. What is the second derivative of i(y) wrt y?\n' | b'-1800*y**2\n' | b'Let i(h) be the third derivative of -5*h**7/7 + 11*h**4/8 + 146*h**2. What is the second derivative of i(y) wrt y?\n' | b'-1800*y**2\n' | deepmind/math_dataset |
b'Suppose -i = -5*x + 16 + 17, -4*i + 36 = 4*x. Solve -3*n + 34 = 5*j, 0*n - j - x = -4*n for n.\n' | b'3\n' | b'Suppose -i = -5*x + 16 + 17, -4*i + 36 = 4*x. Solve -3*n + 34 = 5*j, 0*n - j - x = -4*n for n.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 d when three letters picked without replacement from {p: 2, s: 1, v: 1, d: 3}.\n' | b'1/35\n' | b'Calculate prob of picking 3 d when three letters picked without replacement from {p: 2, s: 1, v: 1, d: 3}.\n' | b'1/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vwv. What is prob of picking 1 w and 1 v?\n' | b'2/3\n' | b'Two letters picked without replacement from vwv. What is prob of picking 1 w and 1 v?\n' | b'2/3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 f and 1 m when three letters picked without replacement from mffdyffmvmvfxmmvm.\n' | b'3/34\n' | b'Calculate prob of picking 2 f and 1 m when three letters picked without replacement from mffdyffmvmvfxmmvm.\n' | b'3/34\n' | deepmind/math_dataset |
b'Suppose -2*u = -6*u - 8. Let v(k) = 3*k**3 + 15*k**2 - 15*k - 12. Let c(g) = g**2 - g - 1. Let t(p) = u*v(p) + 30*c(p). Find the first derivative of t(x) wrt x.\n' | b'-18*x**2\n' | b'Suppose -2*u = -6*u - 8. Let v(k) = 3*k**3 + 15*k**2 - 15*k - 12. Let c(g) = g**2 - g - 1. Let t(p) = u*v(p) + 30*c(p). Find the first derivative of t(x) wrt x.\n' | b'-18*x**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 3 j when four letters picked without replacement from {n: 4, y: 2, j: 4}.\n' | b'8/105\n' | b'Calculate prob of picking 1 n and 3 j when four letters picked without replacement from {n: 4, y: 2, j: 4}.\n' | b'8/105\n' | deepmind/math_dataset |
b'Let h(k) = -k**3 - 2*k + 1. Let f(i) = -2*i**3 + 6*i**2 - 16*i - 5. Let b(l) = f(l) - 3*h(l). Let d be 2/((-6)/(-21))*(-3)/3. Give b(d).\n' | b'13\n' | b'Let h(k) = -k**3 - 2*k + 1. Let f(i) = -2*i**3 + 6*i**2 - 16*i - 5. Let b(l) = f(l) - 3*h(l). Let d be 2/((-6)/(-21))*(-3)/3. Give b(d).\n' | b'13\n' | deepmind/math_dataset |
b'Let u be 38 + -33 + (-3 - -3). Solve 0 = -5*a + 5*t + u, -5*t - 4 = -4*a - 3*t for a.\n' | b'1\n' | b'Let u be 38 + -33 + (-3 - -3). Solve 0 = -5*a + 5*t + u, -5*t - 4 = -4*a - 3*t for a.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {e: 4, q: 2, s: 5}. Give prob of sequence qsse.\n' | b'2/99\n' | b'Four letters picked without replacement from {e: 4, q: 2, s: 5}. Give prob of sequence qsse.\n' | b'2/99\n' | deepmind/math_dataset |
b'Let j(u) be the first derivative of 1703*u**3 + 838*u**2 + 2*u - 12625. What is the second derivative of j(v) wrt v?\n' | b'10218\n' | b'Let j(u) be the first derivative of 1703*u**3 + 838*u**2 + 2*u - 12625. What is the second derivative of j(v) wrt v?\n' | b'10218\n' | deepmind/math_dataset |
b'Calculate prob of sequence kqe when three letters picked without replacement from kwseqkk.\n' | b'1/70\n' | b'Calculate prob of sequence kqe when three letters picked without replacement from kwseqkk.\n' | b'1/70\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a and 3 e when four letters picked without replacement from aeaaeaaeeaeeaaea.\n' | b'9/52\n' | b'Calculate prob of picking 1 a and 3 e when four letters picked without replacement from aeaaeaaeeaeeaaea.\n' | b'9/52\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r, 1 e, and 1 d when three letters picked without replacement from dredrierereeeieer.\n' | b'2/17\n' | b'Calculate prob of picking 1 r, 1 e, and 1 d when three letters picked without replacement from dredrierereeeieer.\n' | b'2/17\n' | deepmind/math_dataset |
b'Let d be (-22 - -12) + 12/1. Solve -3*s = 3*i - 3, d*i + 6*s - s = 5 for i.\n' | b'0\n' | b'Let d be (-22 - -12) + 12/1. Solve -3*s = 3*i - 3, d*i + 6*s - s = 5 for i.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 26*l - 1254 - 332 = 0. Suppose -16*y + 13 = l. Let z(k) = k**3 + k + 1. What is z(y)?\n' | b'-29\n' | b'Suppose 26*l - 1254 - 332 = 0. Suppose -16*y + 13 = l. Let z(k) = k**3 + k + 1. What is z(y)?\n' | b'-29\n' | deepmind/math_dataset |
b'Simplify (m*m/(m/(m**17*m))*((m**(-3)*m)/m)/m)**(-1/51) assuming m is positive.\n' | b'm**(-5/17)\n' | b'Simplify (m*m/(m/(m**17*m))*((m**(-3)*m)/m)/m)**(-1/51) assuming m is positive.\n' | b'm**(-5/17)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p and 2 c when four letters picked without replacement from {e: 3, p: 2, c: 1, l: 1, g: 1, v: 3}.\n' | b'0\n' | b'Calculate prob of picking 2 p and 2 c when four letters picked without replacement from {e: 3, p: 2, c: 1, l: 1, g: 1, v: 3}.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (n**(-9/10)*n**(-28))**(-47) assuming n is positive.\n' | b'n**(13583/10)\n' | b'Simplify (n**(-9/10)*n**(-28))**(-47) assuming n is positive.\n' | b'n**(13583/10)\n' | deepmind/math_dataset |
b'Let r(w) be the third derivative of -499*w**6/60 + 10*w**5/3 + 21*w**2 + 3*w. Find the third derivative of r(p) wrt p.\n' | b'-5988\n' | b'Let r(w) be the third derivative of -499*w**6/60 + 10*w**5/3 + 21*w**2 + 3*w. Find the third derivative of r(p) wrt p.\n' | b'-5988\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 3, l: 1, g: 6, z: 1, i: 1, p: 1}. What is prob of picking 2 g?\n' | b'5/26\n' | b'Two letters picked without replacement from {h: 3, l: 1, g: 6, z: 1, i: 1, p: 1}. What is prob of picking 2 g?\n' | b'5/26\n' | deepmind/math_dataset |
b'Simplify ((a**(-5)/(a**(3/2)*a*a*a*a))/(a/a**(2/5)*a*a**(2/3)))/((a**(-1))**(2/19)*(a**0/a)**(-1/10)) assuming a is positive.\n' | b'a**(-3637/285)\n' | b'Simplify ((a**(-5)/(a**(3/2)*a*a*a*a))/(a/a**(2/5)*a*a**(2/3)))/((a**(-1))**(2/19)*(a**0/a)**(-1/10)) assuming a is positive.\n' | b'a**(-3637/285)\n' | deepmind/math_dataset |
b'What is prob of picking 2 s when two letters picked without replacement from hhsseusvsmue?\n' | b'1/11\n' | b'What is prob of picking 2 s when two letters picked without replacement from hhsseusvsmue?\n' | b'1/11\n' | deepmind/math_dataset |
b'Let n(v) be the third derivative of -v**5/20 - v**4/24 - 2*v**3/3 + 169*v**2 - 1. Determine n(-2).\n' | b'-14\n' | b'Let n(v) be the third derivative of -v**5/20 - v**4/24 - 2*v**3/3 + 169*v**2 - 1. Determine n(-2).\n' | b'-14\n' | deepmind/math_dataset |
b'Suppose -3*s - 1 = -13. Solve h - 6*f - 16 = -f, s*h + 8 = 2*f for h.\n' | b'-4\n' | b'Suppose -3*s - 1 = -13. Solve h - 6*f - 16 = -f, s*h + 8 = 2*f for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a and 3 e when four letters picked without replacement from ebeeeehheeaeabeha.\n' | b'9/85\n' | b'Calculate prob of picking 1 a and 3 e when four letters picked without replacement from ebeeeehheeaeabeha.\n' | b'9/85\n' | deepmind/math_dataset |
b'Let n(v) be the second derivative of -8*v**6/15 - 31*v**2/2 + 23*v. Differentiate n(u) wrt u.\n' | b'-64*u**3\n' | b'Let n(v) be the second derivative of -8*v**6/15 - 31*v**2/2 + 23*v. Differentiate n(u) wrt u.\n' | b'-64*u**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 1 u when two letters picked without replacement from xvnuzvbvbxubbnuxx.\n' | b'3/68\n' | b'Calculate prob of picking 1 n and 1 u when two letters picked without replacement from xvnuzvbvbxubbnuxx.\n' | b'3/68\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {s: 7, e: 3}.\n' | b'7/15\n' | b'Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {s: 7, e: 3}.\n' | b'7/15\n' | deepmind/math_dataset |
b'Calculate prob of sequence rrh when three letters picked without replacement from {h: 3, r: 8}.\n' | b'28/165\n' | b'Calculate prob of sequence rrh when three letters picked without replacement from {h: 3, r: 8}.\n' | b'28/165\n' | deepmind/math_dataset |
b'Let c = -374 + 376. Solve c*w + 3*w + 25 = -4*d, w + 5 = 2*d for w.\n' | b'-5\n' | b'Let c = -374 + 376. Solve c*w + 3*w + 25 = -4*d, w + 5 = 2*d for w.\n' | b'-5\n' | deepmind/math_dataset |
b'Let a be (2676/(-180) - -15) + (-26)/(-30). Let j(x) = 7*x - 4. Let h be j(3). What is the first derivative of -h*c - 7*c + 2 + a + 18 wrt c?\n' | b'-24\n' | b'Let a be (2676/(-180) - -15) + (-26)/(-30). Let j(x) = 7*x - 4. Let h be j(3). What is the first derivative of -h*c - 7*c + 2 + a + 18 wrt c?\n' | b'-24\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 3 h when four letters picked without replacement from {c: 3, z: 2, y: 1, o: 1, h: 3}.\n' | b'1/70\n' | b'Calculate prob of picking 1 c and 3 h when four letters picked without replacement from {c: 3, z: 2, y: 1, o: 1, h: 3}.\n' | b'1/70\n' | deepmind/math_dataset |
b'Let k(f) = 2*f + 8. Suppose 3*c + 5*n = 9 - 40, 3*c - 2*n = -17. Let i be 4/((-4)/15) - c. Determine k(i).\n' | b'-8\n' | b'Let k(f) = 2*f + 8. Suppose 3*c + 5*n = 9 - 40, 3*c - 2*n = -17. Let i be 4/((-4)/15) - c. Determine k(i).\n' | b'-8\n' | deepmind/math_dataset |
b'Let v(y) = -3*y + 2 + 3*y**2 + 3*y**2 - 5*y**2. Let r be v(3). Let i(z) = -z**2 + 8*z + 9. Let u be i(8). Solve 4*s = 3*l - 24, u = -r*s + 3*l - 9 for s.\n' | b'-3\n' | b'Let v(y) = -3*y + 2 + 3*y**2 + 3*y**2 - 5*y**2. Let r be v(3). Let i(z) = -z**2 + 8*z + 9. Let u be i(8). Solve 4*s = 3*l - 24, u = -r*s + 3*l - 9 for s.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mayayymaymyyyam. What is prob of sequence mamm?\n' | b'4/1365\n' | b'Four letters picked without replacement from mayayymaymyyyam. What is prob of sequence mamm?\n' | b'4/1365\n' | deepmind/math_dataset |
b'Calculate prob of sequence cke when three letters picked without replacement from krrrcrkckrrrkekr.\n' | b'1/336\n' | b'Calculate prob of sequence cke when three letters picked without replacement from krrrcrkckrrrkekr.\n' | b'1/336\n' | deepmind/math_dataset |
b'Let c be 0 - (-3 - (-2)/2). What is the second derivative of -3*t**3 - c*t**3 + 2*t**3 - 4*t + 2*t**3 wrt t?\n' | b'-6*t\n' | b'Let c be 0 - (-3 - (-2)/2). What is the second derivative of -3*t**3 - c*t**3 + 2*t**3 - 4*t + 2*t**3 wrt t?\n' | b'-6*t\n' | deepmind/math_dataset |
b'Let x(o) be the second derivative of o - 5/6*o**4 - 1/3*o**3 - 5*o**2 - 2. What is the derivative of x(w) wrt w?\n' | b'-20*w - 2\n' | b'Let x(o) be the second derivative of o - 5/6*o**4 - 1/3*o**3 - 5*o**2 - 2. What is the derivative of x(w) wrt w?\n' | b'-20*w - 2\n' | deepmind/math_dataset |
b'Calculate prob of sequence cqwc when four letters picked without replacement from cqwcqccq.\n' | b'3/140\n' | b'Calculate prob of sequence cqwc when four letters picked without replacement from cqwcqccq.\n' | b'3/140\n' | deepmind/math_dataset |
b'Suppose -v = 3*s + 5, -v = 3*v - 5*s + 20. Let b(r) = -r - 2. Let j(x) = 2*x + 3. Let y(d) = v*b(d) - 6*j(d). What is the derivative of y(l) wrt l?\n' | b'-7\n' | b'Suppose -v = 3*s + 5, -v = 3*v - 5*s + 20. Let b(r) = -r - 2. Let j(x) = 2*x + 3. Let y(d) = v*b(d) - 6*j(d). What is the derivative of y(l) wrt l?\n' | b'-7\n' | deepmind/math_dataset |
b'Let c be 0 - 10 - 3668/(-393) - 10/(-15). Let m(a) = a**2 + 3*a + 21. Give m(c).\n' | b'21\n' | b'Let c be 0 - 10 - 3668/(-393) - 10/(-15). Let m(a) = a**2 + 3*a + 21. Give m(c).\n' | b'21\n' | deepmind/math_dataset |
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