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 h(i) = i**2 - 3*i + 80. Let m be h(0). Let p = m + -80. Find the third derivative of p*z**2 - 6*z**2 - 7*z**4 + 3*z**4 wrt z.\n' | b'-96*z\n' | b'Let h(i) = i**2 - 3*i + 80. Let m be h(0). Let p = m + -80. Find the third derivative of p*z**2 - 6*z**2 - 7*z**4 + 3*z**4 wrt z.\n' | b'-96*z\n' | deepmind/math_dataset |
b'Let s(z) = -z**3 + 9*z**2 - 8*z + 11. Suppose 3*o - 1 = 23. Determine s(o).\n' | b'11\n' | b'Let s(z) = -z**3 + 9*z**2 - 8*z + 11. Suppose 3*o - 1 = 23. Determine s(o).\n' | b'11\n' | deepmind/math_dataset |
b'What is prob of picking 1 b and 1 y when two letters picked without replacement from {v: 9, b: 1, s: 5, y: 1}?\n' | b'1/120\n' | b'What is prob of picking 1 b and 1 y when two letters picked without replacement from {v: 9, b: 1, s: 5, y: 1}?\n' | b'1/120\n' | deepmind/math_dataset |
b'Let s(n) = -5*n - 6. Let f be s(-2). Suppose -12 = -u - y, -7*u + 6*u - f*y = 0. Solve 5*w + 3*v = -u, 0 = w - 2*w - 4*v - 10 for w.\n' | b'-2\n' | b'Let s(n) = -5*n - 6. Let f be s(-2). Suppose -12 = -u - y, -7*u + 6*u - f*y = 0. Solve 5*w + 3*v = -u, 0 = w - 2*w - 4*v - 10 for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Let a be ((-4 + 4)/(-2))/2. Suppose -4*n + 3*n + 3 = a. Suppose 4*x + 4 = 4*j, 2*j + 5*x - 22 = -2*j. Solve -j*m - m + 18 = -2*h, -m - 6 = n*h for m.\n' | b'3\n' | b'Let a be ((-4 + 4)/(-2))/2. Suppose -4*n + 3*n + 3 = a. Suppose 4*x + 4 = 4*j, 2*j + 5*x - 22 = -2*j. Solve -j*m - m + 18 = -2*h, -m - 6 = n*h for m.\n' | b'3\n' | deepmind/math_dataset |
b'Let z(k) = -k**3 + 6*k**2 - 6*k. Let w(t) = t**3 - 8*t**2 - 4*t - 4. Let m be w(9). Suppose -m = -4*u - 5*a, -3*a + 27 = 3*u - 0*a. What is z(u)?\n' | b'8\n' | b'Let z(k) = -k**3 + 6*k**2 - 6*k. Let w(t) = t**3 - 8*t**2 - 4*t - 4. Let m be w(9). Suppose -m = -4*u - 5*a, -3*a + 27 = 3*u - 0*a. What is z(u)?\n' | b'8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kkukpepxekpk. What is prob of sequence kxuk?\n' | b'1/594\n' | b'Four letters picked without replacement from kkukpepxekpk. What is prob of sequence kxuk?\n' | b'1/594\n' | deepmind/math_dataset |
b'Let g(z) = z**3 - 5*z**2 - z + 7. Let b be g(5). Let h(y) = -y + 4. Let i be h(b). Solve -4*q - i*t - 20 = 0, q + 5*t - 1 = -6 for q.\n' | b'-5\n' | b'Let g(z) = z**3 - 5*z**2 - z + 7. Let b be g(5). Let h(y) = -y + 4. Let i be h(b). Solve -4*q - i*t - 20 = 0, q + 5*t - 1 = -6 for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((x**(2/31)*x)/(x/x**(-2/63)))/(x**(-14)*x**(-25)) assuming x is positive.\n' | b'x**(76231/1953)\n' | b'Simplify ((x**(2/31)*x)/(x/x**(-2/63)))/(x**(-14)*x**(-25)) assuming x is positive.\n' | b'x**(76231/1953)\n' | deepmind/math_dataset |
b'Let n(j) be the second derivative of 83*j**4/12 - 45*j**2/2 + 40*j. What is the first derivative of n(t) wrt t?\n' | b'166*t\n' | b'Let n(j) be the second derivative of 83*j**4/12 - 45*j**2/2 + 40*j. What is the first derivative of n(t) wrt t?\n' | b'166*t\n' | deepmind/math_dataset |
b'Suppose -5*a = -4*d - 10, 3*a - 6 = -0*a + 2*d. Suppose -a - 6 = -2*z. Solve -4*j - 3*m = 19, -m - 3*m = z for j.\n' | b'-4\n' | b'Suppose -5*a = -4*d - 10, 3*a - 6 = -0*a + 2*d. Suppose -a - 6 = -2*z. Solve -4*j - 3*m = 19, -m - 3*m = z for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Let q(o) = -28*o + 11. Let i(a) = 13*a - 5. Let n(v) = -9*i(v) - 4*q(v). Determine n(1).\n' | b'-4\n' | b'Let q(o) = -28*o + 11. Let i(a) = 13*a - 5. Let n(v) = -9*i(v) - 4*q(v). Determine n(1).\n' | b'-4\n' | deepmind/math_dataset |
b'Let l(w) = 5*w - 20. Let f be l(5). Find the second derivative of 14*k + k**2 - f*k - 4*k + k**2 wrt k.\n' | b'4\n' | b'Let l(w) = 5*w - 20. Let f be l(5). Find the second derivative of 14*k + k**2 - f*k - 4*k + k**2 wrt k.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from urwroudwdrowo. What is prob of picking 2 r?\n' | b'1/26\n' | b'Two letters picked without replacement from urwroudwdrowo. What is prob of picking 2 r?\n' | b'1/26\n' | deepmind/math_dataset |
b'Let k = -2 - -5. Suppose r = -k*r + 20. Suppose 26 = -2*u + 36. Solve -3*a + r = -4*z, u*a = -0*a + z - 3 for a.\n' | b'-1\n' | b'Let k = -2 - -5. Suppose r = -k*r + 20. Suppose 26 = -2*u + 36. Solve -3*a + r = -4*z, u*a = -0*a + z - 3 for a.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (m**(-1))**(-22)/(m/m**(-1/3)*m)**(6/13) assuming m is positive.\n' | b'm**(272/13)\n' | b'Simplify (m**(-1))**(-22)/(m/m**(-1/3)*m)**(6/13) assuming m is positive.\n' | b'm**(272/13)\n' | deepmind/math_dataset |
b'Let i(m) = 5*m**2 + 16*m - 31. Let o(x) = 2*x**2 + 5*x - 12. Let b(w) = 3*i(w) - 8*o(w). Let n be b(0). Solve -3*s - r - 12 = n*r, 3*s + r = -12 for s.\n' | b'-4\n' | b'Let i(m) = 5*m**2 + 16*m - 31. Let o(x) = 2*x**2 + 5*x - 12. Let b(w) = 3*i(w) - 8*o(w). Let n be b(0). Solve -3*s - r - 12 = n*r, 3*s + r = -12 for s.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence nk when two letters picked without replacement from {n: 1, k: 3, v: 5, h: 1}.\n' | b'1/30\n' | b'Calculate prob of sequence nk when two letters picked without replacement from {n: 1, k: 3, v: 5, h: 1}.\n' | b'1/30\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 3, q: 2, f: 1, k: 2, c: 3, h: 1}. What is prob of picking 2 k?\n' | b'1/66\n' | b'Two letters picked without replacement from {l: 3, q: 2, f: 1, k: 2, c: 3, h: 1}. What is prob of picking 2 k?\n' | b'1/66\n' | deepmind/math_dataset |
b'Let b = 193 - 191. Solve -4*a - b*c + 5 = -5*a, 20 = 5*c for a.\n' | b'3\n' | b'Let b = 193 - 191. Solve -4*a - b*c + 5 = -5*a, 20 = 5*c for a.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 3*v + 25 = 169. Suppose 4*c = 3*c - 2*d + 16, 3*c + 2*d = v. Solve -3*m - 5*h = -h + c, -4*h - 4 = 0 for m.\n' | b'-4\n' | b'Suppose 3*v + 25 = 169. Suppose 4*c = 3*c - 2*d + 16, 3*c + 2*d = v. Solve -3*m - 5*h = -h + c, -4*h - 4 = 0 for m.\n' | b'-4\n' | deepmind/math_dataset |
b'Let g(v) = -v**3 - 10*v**2 - 2*v - 19. Suppose -4*w = 5*n + 35, 11*n = -2*w + 13*n - 22. What is g(w)?\n' | b'1\n' | b'Let g(v) = -v**3 - 10*v**2 - 2*v - 19. Suppose -4*w = 5*n + 35, 11*n = -2*w + 13*n - 22. What is g(w)?\n' | b'1\n' | deepmind/math_dataset |
b'Let j(x) be the first derivative of 3*x**5/5 + 10*x**2 + 28. What is the second derivative of j(f) wrt f?\n' | b'36*f**2\n' | b'Let j(x) be the first derivative of 3*x**5/5 + 10*x**2 + 28. What is the second derivative of j(f) wrt f?\n' | b'36*f**2\n' | deepmind/math_dataset |
b'Simplify (x/x**(-1)*x**4/x)/(x**1*x)**(10/13) assuming x is positive.\n' | b'x**(45/13)\n' | b'Simplify (x/x**(-1)*x**4/x)/(x**1*x)**(10/13) assuming x is positive.\n' | b'x**(45/13)\n' | deepmind/math_dataset |
b'Simplify (g/(g*g**3*g))/g*(g*g*g**(-2/11))/g*g/g**(-5)*g**(2/11)/g assuming g is positive.\n' | b'g\n' | b'Simplify (g/(g*g**3*g))/g*(g*g*g**(-2/11))/g*g/g**(-5)*g**(2/11)/g assuming g is positive.\n' | b'g\n' | deepmind/math_dataset |
b'Let x(i) be the first derivative of i**2/2 - 6*i + 1. Suppose 235*b + 264*b = 2994. Calculate x(b).\n' | b'0\n' | b'Let x(i) be the first derivative of i**2/2 - 6*i + 1. Suppose 235*b + 264*b = 2994. Calculate x(b).\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 1 f, 1 w, and 1 t when three letters picked without replacement from fwfbbftwbfbttt?\n' | b'8/91\n' | b'What is prob of picking 1 f, 1 w, and 1 t when three letters picked without replacement from fwfbbftwbfbttt?\n' | b'8/91\n' | deepmind/math_dataset |
b'Simplify (w**(2/3))**(-47)/(w**(1/4)/w)**(-2/3) assuming w is positive.\n' | b'w**(-191/6)\n' | b'Simplify (w**(2/3))**(-47)/(w**(1/4)/w)**(-2/3) assuming w is positive.\n' | b'w**(-191/6)\n' | deepmind/math_dataset |
b'Simplify ((d**(-2/5))**32)**(1/12)/((d*d**(-2/25))/(d/(d**(-4/5)/d))*d*d/d**(-6)*d*d**2) assuming d is positive.\n' | b'd**(-764/75)\n' | b'Simplify ((d**(-2/5))**32)**(1/12)/((d*d**(-2/25))/(d/(d**(-4/5)/d))*d*d/d**(-6)*d*d**2) assuming d is positive.\n' | b'd**(-764/75)\n' | deepmind/math_dataset |
b'Let i = -28 + 45. Suppose 19*f - 54 = i*f. Let m = 29 - f. Solve 0 = -m*x - t - 3, 4*t = 3*x - 7 - 5 for x.\n' | b'0\n' | b'Let i = -28 + 45. Suppose 19*f - 54 = i*f. Let m = 29 - f. Solve 0 = -m*x - t - 3, 4*t = 3*x - 7 - 5 for x.\n' | b'0\n' | deepmind/math_dataset |
b'Let y(n) = -1 + 3*n**2 - 2*n + 2*n + n**3. Let i = 13 + -8. Suppose 1 + 9 = -i*a. Calculate y(a).\n' | b'3\n' | b'Let y(n) = -1 + 3*n**2 - 2*n + 2*n + n**3. Let i = 13 + -8. Suppose 1 + 9 = -i*a. Calculate y(a).\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence ngdg when four letters picked without replacement from {d: 1, y: 8, n: 1, g: 6}?\n' | b'1/1456\n' | b'What is prob of sequence ngdg when four letters picked without replacement from {d: 1, y: 8, n: 1, g: 6}?\n' | b'1/1456\n' | deepmind/math_dataset |
b'Simplify ((u*u**21/u)/u)/((u/(u*u**(-24/5)))/u)*(u/((u/((u/(u/((u/(((u/u**(-25))/u)/u))/u*u)*u))/u))/u))**(1/12) assuming u is positive.\n' | b'u**(71/5)\n' | b'Simplify ((u*u**21/u)/u)/((u/(u*u**(-24/5)))/u)*(u/((u/((u/(u/((u/(((u/u**(-25))/u)/u))/u*u)*u))/u))/u))**(1/12) assuming u is positive.\n' | b'u**(71/5)\n' | deepmind/math_dataset |
b'Let m(o) = -o**3 + 13*o**2 - 22*o + 8. Let d be m(7). Let h = 150 - d. Let k be 0 + 13 + (-2)/1. Solve 7 = -f - 2*b, h*f + 4*b + k = b for f.\n' | b'-1\n' | b'Let m(o) = -o**3 + 13*o**2 - 22*o + 8. Let d be m(7). Let h = 150 - d. Let k be 0 + 13 + (-2)/1. Solve 7 = -f - 2*b, h*f + 4*b + k = b for f.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 1, i: 1, w: 5, r: 2, a: 1}. Give prob of picking 1 i, 1 w, and 1 r.\n' | b'1/12\n' | b'Three letters picked without replacement from {h: 1, i: 1, w: 5, r: 2, a: 1}. Give prob of picking 1 i, 1 w, and 1 r.\n' | b'1/12\n' | deepmind/math_dataset |
b'Simplify (y**(-5/7)*y)**(-23) assuming y is positive.\n' | b'y**(-46/7)\n' | b'Simplify (y**(-5/7)*y)**(-23) assuming y is positive.\n' | b'y**(-46/7)\n' | deepmind/math_dataset |
b'Calculate prob of sequence fk when two letters picked without replacement from kffffffgfkfkgffk.\n' | b'1/6\n' | b'Calculate prob of sequence fk when two letters picked without replacement from kffffffgfkfkgffk.\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify q**(-4)/(q*q**(-10)*q*q) assuming q is positive.\n' | b'q**3\n' | b'Simplify q**(-4)/(q*q**(-10)*q*q) assuming q is positive.\n' | b'q**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vshahashvsshjjhshhh. Give prob of picking 1 a and 1 v.\n' | b'4/171\n' | b'Two letters picked without replacement from vshahashvsshjjhshhh. Give prob of picking 1 a and 1 v.\n' | b'4/171\n' | deepmind/math_dataset |
b'What is prob of picking 2 c when two letters picked without replacement from waicawccwiwiawiwaac?\n' | b'2/57\n' | b'What is prob of picking 2 c when two letters picked without replacement from waicawccwiwiawiwaac?\n' | b'2/57\n' | deepmind/math_dataset |
b'Simplify ((m*m*m/((m**2/m)/m))/(m/(m*m*m**(-5)*m*m)))/(m*m*m**5/m*m)**(-5/12) assuming m is positive.\n' | b'm**(47/12)\n' | b'Simplify ((m*m*m/((m**2/m)/m))/(m/(m*m*m**(-5)*m*m)))/(m*m*m**5/m*m)**(-5/12) assuming m is positive.\n' | b'm**(47/12)\n' | deepmind/math_dataset |
b'Let u(s) be the first derivative of s**7/42 - s**5/12 - 19*s**2/2 - 1. Let o(c) be the second derivative of u(c). What is the third derivative of o(r) wrt r?\n' | b'120*r\n' | b'Let u(s) be the first derivative of s**7/42 - s**5/12 - 19*s**2/2 - 1. Let o(c) be the second derivative of u(c). What is the third derivative of o(r) wrt r?\n' | b'120*r\n' | deepmind/math_dataset |
b'Let s(t) = 3*t - 1. Let z be s(1). Suppose 0*a = 3*a - 15. Solve -4*x + 9 = -6*q + a*q, -z*x + 4 = 0 for q.\n' | b'-1\n' | b'Let s(t) = 3*t - 1. Let z be s(1). Suppose 0*a = 3*a - 15. Solve -4*x + 9 = -6*q + a*q, -z*x + 4 = 0 for q.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (f**(-2/13)/((f*f**(1/2))/f))/(f/((((f/(f/((f**0/f*f)/f))*f)/f)/f)/f)*f)**(4/31) assuming f is positive.\n' | b'f**(-1047/806)\n' | b'Simplify (f**(-2/13)/((f*f**(1/2))/f))/(f/((((f/(f/((f**0/f*f)/f))*f)/f)/f)/f)*f)**(4/31) assuming f is positive.\n' | b'f**(-1047/806)\n' | deepmind/math_dataset |
b'Let v(b) = b + 5. Let i be v(5). Let z(q) = -q + 14. Let l be z(i). Solve -p - 4*d - 13 = 0, -l*p - p - 17 = -4*d for p.\n' | b'-5\n' | b'Let v(b) = b + 5. Let i be v(5). Let z(q) = -q + 14. Let l be z(i). Solve -p - 4*d - 13 = 0, -l*p - p - 17 = -4*d for p.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -4*g - 12 = -0*g + 4*c, -5*g = 3*c + 5. Let o(w) = -5*w - 13. Let k be o(-3). Solve -k*z - 4*j + 2 = 0, -z + j = -0*j + g for z.\n' | b'-1\n' | b'Suppose -4*g - 12 = -0*g + 4*c, -5*g = 3*c + 5. Let o(w) = -5*w - 13. Let k be o(-3). Solve -k*z - 4*j + 2 = 0, -z + j = -0*j + g for z.\n' | b'-1\n' | deepmind/math_dataset |
b'Let w(k) = -4*k - 23. Let x be w(-4). Let i(v) = -2*v - 6*v - 2 + 4. Let j(p) = -17*p + 5. Let y(s) = x*i(s) + 3*j(s). Determine y(-1).\n' | b'-4\n' | b'Let w(k) = -4*k - 23. Let x be w(-4). Let i(v) = -2*v - 6*v - 2 + 4. Let j(p) = -17*p + 5. Let y(s) = x*i(s) + 3*j(s). Determine y(-1).\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 a and 1 d when four letters picked without replacement from aaaadaada.\n' | b'5/9\n' | b'Calculate prob of picking 3 a and 1 d when four letters picked without replacement from aaaadaada.\n' | b'5/9\n' | deepmind/math_dataset |
b'What is prob of sequence dheu when four letters picked without replacement from ihihedu?\n' | b'1/420\n' | b'What is prob of sequence dheu when four letters picked without replacement from ihihedu?\n' | b'1/420\n' | deepmind/math_dataset |
b'Let o(q) be the second derivative of -11*q**6 - 410*q**3/3 + 2*q + 234. What is the second derivative of o(f) wrt f?\n' | b'-3960*f**2\n' | b'Let o(q) be the second derivative of -11*q**6 - 410*q**3/3 + 2*q + 234. What is the second derivative of o(f) wrt f?\n' | b'-3960*f**2\n' | deepmind/math_dataset |
b'Simplify ((d*d**20/d*d)/(d**(-1/11)*d))/(d**(2/35)*d**(-2/57)) assuming d is positive.\n' | b'd**(440411/21945)\n' | b'Simplify ((d*d**20/d*d)/(d**(-1/11)*d))/(d**(2/35)*d**(-2/57)) assuming d is positive.\n' | b'd**(440411/21945)\n' | deepmind/math_dataset |
b'Let u(l) = -21*l - 3. Let x = 2 + -11. Let n be u(x). Let a(f) = -n + 186 - 4*f**2 - f**3. What is a(-4)?\n' | b'0\n' | b'Let u(l) = -21*l - 3. Let x = 2 + -11. Let n be u(x). Let a(f) = -n + 186 - 4*f**2 - f**3. What is a(-4)?\n' | b'0\n' | deepmind/math_dataset |
b'Let w = 168 + -178. Let n(i) = i**2 + 10*i + 5. Calculate n(w).\n' | b'5\n' | b'Let w = 168 + -178. Let n(i) = i**2 + 10*i + 5. Calculate n(w).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((((o*o/o**(-15/2))/o)/(o/((o*o*o**8*o)/o)))**(-1/4))**(12/5) assuming o is positive.\n' | b'o**(-21/2)\n' | b'Simplify ((((o*o/o**(-15/2))/o)/(o/((o*o*o**8*o)/o)))**(-1/4))**(12/5) assuming o is positive.\n' | b'o**(-21/2)\n' | deepmind/math_dataset |
b'Let p(u) be the first derivative of 1903*u**5/5 + 690*u**2 + 993. Find the second derivative of p(k) wrt k.\n' | b'22836*k**2\n' | b'Let p(u) be the first derivative of 1903*u**5/5 + 690*u**2 + 993. Find the second derivative of p(k) wrt k.\n' | b'22836*k**2\n' | deepmind/math_dataset |
b'Simplify ((i*(i**3*i*i*i)/i)**(17/4))**26 assuming i is positive.\n' | b'i**663\n' | b'Simplify ((i*(i**3*i*i*i)/i)**(17/4))**26 assuming i is positive.\n' | b'i**663\n' | deepmind/math_dataset |
b'Let c = 244 + -98. Let m = c - 46. Suppose -m = -5*p + p. Solve 17 = -w - 3*b - 2*b, 3*w = 4*b + p for w.\n' | b'3\n' | b'Let c = 244 + -98. Let m = c - 46. Suppose -m = -5*p + p. Solve 17 = -w - 3*b - 2*b, 3*w = 4*b + p for w.\n' | b'3\n' | deepmind/math_dataset |
b'What is the third derivative of -51*t**2 - 7*t**2 + 515*t**5 - 13*t**2 + 7*t**2 - 15*t**2 wrt t?\n' | b'30900*t**2\n' | b'What is the third derivative of -51*t**2 - 7*t**2 + 515*t**5 - 13*t**2 + 7*t**2 - 15*t**2 wrt t?\n' | b'30900*t**2\n' | deepmind/math_dataset |
b'Let z = 110 - 107. Find the second derivative of 1 + 60*m**z + 0 + 0 + 0*m - 37*m wrt m.\n' | b'360*m\n' | b'Let z = 110 - 107. Find the second derivative of 1 + 60*m**z + 0 + 0 + 0*m - 37*m wrt m.\n' | b'360*m\n' | deepmind/math_dataset |
b'Let s(p) = -3*p**3 - 4*p**2 + 10. Let a(x) = -x**3 + x. Let t(f) = -2*a(f) + s(f). Let b be t(-5). Let n = -43 + b. Solve 2*r - 3*k = 5, n*r - 1 = k + 2 for r.\n' | b'1\n' | b'Let s(p) = -3*p**3 - 4*p**2 + 10. Let a(x) = -x**3 + x. Let t(f) = -2*a(f) + s(f). Let b be t(-5). Let n = -43 + b. Solve 2*r - 3*k = 5, n*r - 1 = k + 2 for r.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from dsssksksd. What is prob of picking 2 k, 1 d, and 1 s?\n' | b'5/63\n' | b'Four letters picked without replacement from dsssksksd. What is prob of picking 2 k, 1 d, and 1 s?\n' | b'5/63\n' | deepmind/math_dataset |
b'Let z(x) = 14*x**4 + 6*x**3 + 6*x**2 + 6. Let p(u) = -28*u**4 - 11*u**3 - 11*u**2 - 13. Let b(v) = 6*p(v) + 11*z(v). Differentiate b(l) with respect to l.\n' | b'-56*l**3\n' | b'Let z(x) = 14*x**4 + 6*x**3 + 6*x**2 + 6. Let p(u) = -28*u**4 - 11*u**3 - 11*u**2 - 13. Let b(v) = 6*p(v) + 11*z(v). Differentiate b(l) with respect to l.\n' | b'-56*l**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 17, i: 3}. What is prob of sequence inn?\n' | b'34/285\n' | b'Three letters picked without replacement from {n: 17, i: 3}. What is prob of sequence inn?\n' | b'34/285\n' | deepmind/math_dataset |
b'What is prob of sequence wdw when three letters picked without replacement from wdwwddwdddwd?\n' | b'7/66\n' | b'What is prob of sequence wdw when three letters picked without replacement from wdwwddwdddwd?\n' | b'7/66\n' | deepmind/math_dataset |
b'Let s(d) = d - 18. Let f(n) = n - 16. Let a(w) = 5*f(w) - 4*s(w). What is a(7)?\n' | b'-1\n' | b'Let s(d) = d - 18. Let f(n) = n - 16. Let a(w) = 5*f(w) - 4*s(w). What is a(7)?\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence ccmc when four letters picked without replacement from {m: 2, c: 3}?\n' | b'1/10\n' | b'What is prob of sequence ccmc when four letters picked without replacement from {m: 2, c: 3}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let h be (4/(-8)*4)/2. Let s(r) = -r - 1. Let m(b) = -16*b - 3. Let a(d) = h*m(d) + 4*s(d). Calculate a(-1).\n' | b'-13\n' | b'Let h be (4/(-8)*4)/2. Let s(r) = -r - 1. Let m(b) = -16*b - 3. Let a(d) = h*m(d) + 4*s(d). Calculate a(-1).\n' | b'-13\n' | deepmind/math_dataset |
b'Let n(r) be the third derivative of -r**5/30 + 29*r**4/24 - 49*r**3/2 - 121*r**2. Differentiate n(f) with respect to f.\n' | b'-4*f + 29\n' | b'Let n(r) be the third derivative of -r**5/30 + 29*r**4/24 - 49*r**3/2 - 121*r**2. Differentiate n(f) with respect to f.\n' | b'-4*f + 29\n' | deepmind/math_dataset |
b'Simplify ((s/(s*s*s/(s**(-2/19)/s)*s)*s*s*s**(-12/5))/(s**(12/5)*s**(-1/5)))**1 assuming s is positive.\n' | b's**(-637/95)\n' | b'Simplify ((s/(s*s*s/(s**(-2/19)/s)*s)*s*s*s**(-12/5))/(s**(12/5)*s**(-1/5)))**1 assuming s is positive.\n' | b's**(-637/95)\n' | deepmind/math_dataset |
b'Simplify (r**(-2/3)/r)**37/(r**1*r)**(-19/5) assuming r is positive.\n' | b'r**(-811/15)\n' | b'Simplify (r**(-2/3)/r)**37/(r**1*r)**(-19/5) assuming r is positive.\n' | b'r**(-811/15)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 b and 1 q when three letters picked without replacement from oomqbqbobq.\n' | b'3/40\n' | b'Calculate prob of picking 2 b and 1 q when three letters picked without replacement from oomqbqbobq.\n' | b'3/40\n' | deepmind/math_dataset |
b'Let n(l) = -l**2 + l + 1. Let c(j) = 7*j**2 - 5*j - 10. Let k(a) = c(a) + 5*n(a). What is the first derivative of k(h) wrt h?\n' | b'4*h\n' | b'Let n(l) = -l**2 + l + 1. Let c(j) = 7*j**2 - 5*j - 10. Let k(a) = c(a) + 5*n(a). What is the first derivative of k(h) wrt h?\n' | b'4*h\n' | deepmind/math_dataset |
b'What is prob of sequence ppwp when four letters picked without replacement from kykyppqkpppw?\n' | b'1/198\n' | b'What is prob of sequence ppwp when four letters picked without replacement from kykyppqkpppw?\n' | b'1/198\n' | deepmind/math_dataset |
b'Four letters picked without replacement from cggaucagaggca. What is prob of sequence ggcc?\n' | b'1/143\n' | b'Four letters picked without replacement from cggaucagaggca. What is prob of sequence ggcc?\n' | b'1/143\n' | deepmind/math_dataset |
b'Let m(v) be the first derivative of 4 - 9*v - 1/2*v**2. What is m(-5)?\n' | b'-4\n' | b'Let m(v) be the first derivative of 4 - 9*v - 1/2*v**2. What is m(-5)?\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -3*j - r + 12 = -505, 4*r = 5*j - 890. Let i(g) = -2*g**2 - 52*g + 120. Let c be i(-28). Let o(v) = -j + c*v**2 - v - 4*v + 170 - v**3. Give o(7).\n' | b'10\n' | b'Suppose -3*j - r + 12 = -505, 4*r = 5*j - 890. Let i(g) = -2*g**2 - 52*g + 120. Let c be i(-28). Let o(v) = -j + c*v**2 - v - 4*v + 170 - v**3. Give o(7).\n' | b'10\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 t when two letters picked without replacement from qqqqqqtqtq.\n' | b'1/45\n' | b'Calculate prob of picking 2 t when two letters picked without replacement from qqqqqqtqtq.\n' | b'1/45\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 1, a: 2}. What is prob of sequence aa?\n' | b'1/3\n' | b'Two letters picked without replacement from {m: 1, a: 2}. What is prob of sequence aa?\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify ((r*r**0)/r)**25*(r**1)**(-37) assuming r is positive.\n' | b'r**(-37)\n' | b'Simplify ((r*r**0)/r)**25*(r**1)**(-37) assuming r is positive.\n' | b'r**(-37)\n' | deepmind/math_dataset |
b'Calculate prob of sequence lt when two letters picked without replacement from lto.\n' | b'1/6\n' | b'Calculate prob of sequence lt when two letters picked without replacement from lto.\n' | b'1/6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from laioiobolola. Give prob of sequence boo.\n' | b'1/110\n' | b'Three letters picked without replacement from laioiobolola. Give prob of sequence boo.\n' | b'1/110\n' | deepmind/math_dataset |
b'Let y(p) = 6 + 4*p + 2*p - 5*p. Let f be (-2)/(-4)*(0 + 6). Let d = -2 - f. What is y(d)?\n' | b'1\n' | b'Let y(p) = 6 + 4*p + 2*p - 5*p. Let f be (-2)/(-4)*(0 + 6). Let d = -2 - f. What is y(d)?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -2*v + 84 = -0*v. Let b = -24 + v. Suppose -b = 2*h - 5*h. Let a(k) = k**3 - 5*k**2 - 7*k + 2. Determine a(h).\n' | b'-4\n' | b'Suppose -2*v + 84 = -0*v. Let b = -24 + v. Suppose -b = 2*h - 5*h. Let a(k) = k**3 - 5*k**2 - 7*k + 2. Determine a(h).\n' | b'-4\n' | deepmind/math_dataset |
b'What is the second derivative of 11*r**2 + 0 + 0 - 4*r - 10*r**2 wrt r?\n' | b'2\n' | b'What is the second derivative of 11*r**2 + 0 + 0 - 4*r - 10*r**2 wrt r?\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (r/r**(-2)*r)/((r*r/(r/r**(-26)))/r*r)*r/r**9*r*r/r**(-8/5)*r*r assuming r is positive.\n' | b'r**(133/5)\n' | b'Simplify (r/r**(-2)*r)/((r*r/(r/r**(-26)))/r*r)*r/r**9*r*r/r**(-8/5)*r*r assuming r is positive.\n' | b'r**(133/5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 4, r: 2, b: 1, l: 3}. What is prob of picking 1 l and 2 r?\n' | b'1/40\n' | b'Three letters picked without replacement from {h: 4, r: 2, b: 1, l: 3}. What is prob of picking 1 l and 2 r?\n' | b'1/40\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hhhphhfphhfphmhh. Give prob of picking 3 h and 1 m.\n' | b'6/91\n' | b'Four letters picked without replacement from hhhphhfphhfphmhh. Give prob of picking 3 h and 1 m.\n' | b'6/91\n' | deepmind/math_dataset |
b'Let d = -228 - -329. Let i be (-2)/11 - d/(-11). Suppose 3*m - 6 = i. Solve 4*p = -p + 5*r + 5, m*p - 3 = 4*r for p.\n' | b'-1\n' | b'Let d = -228 - -329. Let i be (-2)/11 - d/(-11). Suppose 3*m - 6 = i. Solve 4*p = -p + 5*r + 5, m*p - 3 = 4*r for p.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -30 = -4*l + 3*n, -l + 2*n - 28 + 38 = 0. Let x(w) = -w**3 + 7*w**2 - 7*w + 13. Calculate x(l).\n' | b'7\n' | b'Suppose -30 = -4*l + 3*n, -l + 2*n - 28 + 38 = 0. Let x(w) = -w**3 + 7*w**2 - 7*w + 13. Calculate x(l).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (o**(-6)/(o*o*o*o**(-1/2))*(o*o**(1/8)/o)/(o/(o**(-1/5)*o)))**20 assuming o is positive.\n' | b'o**(-343/2)\n' | b'Simplify (o**(-6)/(o*o*o*o**(-1/2))*(o*o**(1/8)/o)/(o/(o**(-1/5)*o)))**20 assuming o is positive.\n' | b'o**(-343/2)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 2, e: 1, k: 2, p: 2, w: 1}. What is prob of sequence ekp?\n' | b'1/84\n' | b'Three letters picked without replacement from {i: 2, e: 1, k: 2, p: 2, w: 1}. What is prob of sequence ekp?\n' | b'1/84\n' | deepmind/math_dataset |
b'Let g(l) be the first derivative of -2*l**7/7 - 2*l**5/5 - 485*l**3/3 + 179. What is the third derivative of g(u) wrt u?\n' | b'-240*u**3 - 48*u\n' | b'Let g(l) be the first derivative of -2*l**7/7 - 2*l**5/5 - 485*l**3/3 + 179. What is the third derivative of g(u) wrt u?\n' | b'-240*u**3 - 48*u\n' | deepmind/math_dataset |
b'Simplify (q**(-1/6)*q/(q/(q/(q*q/(((q*q**4*q*q*q)/q)/q))))*q)/(q/q**(1/2))**(2/35)*((((q**(-1/4)*q*q)/q*q*q)/q)/(q/(q**0/q)))**20 assuming q is positive.\n' | b'q**(169/210)\n' | b'Simplify (q**(-1/6)*q/(q/(q/(q*q/(((q*q**4*q*q*q)/q)/q))))*q)/(q/q**(1/2))**(2/35)*((((q**(-1/4)*q*q)/q*q*q)/q)/(q/(q**0/q)))**20 assuming q is positive.\n' | b'q**(169/210)\n' | deepmind/math_dataset |
b'Let c be -2 + (1 - -4) + 125/5. Solve -5*z = -2 - 18, 0 = 4*x + 3*z - c for x.\n' | b'4\n' | b'Let c be -2 + (1 - -4) + 125/5. Solve -5*z = -2 - 18, 0 = 4*x + 3*z - c for x.\n' | b'4\n' | deepmind/math_dataset |
b'Let x(u) = u**3 - u**2 + u - 2. Let q be x(2). Suppose -y - 12 = -q*y + 3*l, 0 = 2*l + 2. Find the first derivative of -4 - t - y*t**3 + t + 2 wrt t.\n' | b'-9*t**2\n' | b'Let x(u) = u**3 - u**2 + u - 2. Let q be x(2). Suppose -y - 12 = -q*y + 3*l, 0 = 2*l + 2. Find the first derivative of -4 - t - y*t**3 + t + 2 wrt t.\n' | b'-9*t**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 9, t: 3}. Give prob of sequence tuu.\n' | b'9/55\n' | b'Three letters picked without replacement from {u: 9, t: 3}. Give prob of sequence tuu.\n' | b'9/55\n' | deepmind/math_dataset |
b'Let f(p) be the first derivative of 1/2*p**2 - 2 - 1/12*p**4 + 2*p + 0*p**3. Let w(j) be the first derivative of f(j). What is the derivative of w(o) wrt o?\n' | b'-2*o\n' | b'Let f(p) be the first derivative of 1/2*p**2 - 2 - 1/12*p**4 + 2*p + 0*p**3. Let w(j) be the first derivative of f(j). What is the derivative of w(o) wrt o?\n' | b'-2*o\n' | deepmind/math_dataset |
b'Let p(w) = w**3 + 2*w**2 - 4. Let u be p(0). Let t(y) = -y**2 - 6*y - 3. Determine t(u).\n' | b'5\n' | b'Let p(w) = w**3 + 2*w**2 - 4. Let u be p(0). Let t(y) = -y**2 - 6*y - 3. Determine t(u).\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p and 1 u when two letters picked without replacement from cpubn.\n' | b'1/10\n' | b'Calculate prob of picking 1 p and 1 u when two letters picked without replacement from cpubn.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify ((u*u/(u*u**(-1/9)))/u**(-13))/(u/u**(1/12)*u**(2/21)) assuming u is positive.\n' | b'u**(3301/252)\n' | b'Simplify ((u*u/(u*u**(-1/9)))/u**(-13))/(u/u**(1/12)*u**(2/21)) assuming u is positive.\n' | b'u**(3301/252)\n' | deepmind/math_dataset |
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