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 i(s) = -5123*s**3 - 4*s**2 + 8*s - 2732. Let n(j) = -25611*j**3 - 21*j**2 + 42*j - 13662. Let q(y) = 21*i(y) - 4*n(y). Differentiate q(g) wrt g.\n' | b'-15417*g**2\n' | b'Let i(s) = -5123*s**3 - 4*s**2 + 8*s - 2732. Let n(j) = -25611*j**3 - 21*j**2 + 42*j - 13662. Let q(y) = 21*i(y) - 4*n(y). Differentiate q(g) wrt g.\n' | b'-15417*g**2\n' | deepmind/math_dataset |
b'Suppose 3*u = 4*u - 2. Let l(a) = 16 + u*a - a - a**2 - 10. What is l(0)?\n' | b'6\n' | b'Suppose 3*u = 4*u - 2. Let l(a) = 16 + u*a - a - a**2 - 10. What is l(0)?\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (i*i**(-3/4)*i**(4/5))**(5/13) assuming i is positive.\n' | b'i**(21/52)\n' | b'Simplify (i*i**(-3/4)*i**(4/5))**(5/13) assuming i is positive.\n' | b'i**(21/52)\n' | deepmind/math_dataset |
b'Let x(z) = z - 1. Suppose -24 = -3*m + 5*w, -4 = 3*m + 5*w + 2. Let b be x(m). Let g be 4/5*(-5)/b. Let y(r) = -2*r**2 - 3*r - 2. Calculate y(g).\n' | b'-4\n' | b'Let x(z) = z - 1. Suppose -24 = -3*m + 5*w, -4 = 3*m + 5*w + 2. Let b be x(m). Let g be 4/5*(-5)/b. Let y(r) = -2*r**2 - 3*r - 2. Calculate y(g).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -3*b + 15 = -0, -3*k + 2*b = -134. Suppose 0*t = -3*t - k. Let x = t - -16. Solve -4*o - 17 = -w, 3*o + 5 + 7 = x for w.\n' | b'1\n' | b'Suppose -3*b + 15 = -0, -3*k + 2*b = -134. Suppose 0*t = -3*t - k. Let x = t - -16. Solve -4*o - 17 = -w, 3*o + 5 + 7 = x for w.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aaaaa. What is prob of sequence aaa?\n' | b'1\n' | b'Three letters picked without replacement from aaaaa. What is prob of sequence aaa?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 4*w = 4*i + 40, -251 + 220 = i - 4*w. Let l(o) = -4*o - 21. Determine l(i).\n' | b'-9\n' | b'Suppose 4*w = 4*i + 40, -251 + 220 = i - 4*w. Let l(o) = -4*o - 21. Determine l(i).\n' | b'-9\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 4, b: 3, c: 3, r: 3, d: 1, o: 2}. What is prob of picking 1 d and 1 r?\n' | b'1/40\n' | b'Two letters picked without replacement from {f: 4, b: 3, c: 3, r: 3, d: 1, o: 2}. What is prob of picking 1 d and 1 r?\n' | b'1/40\n' | deepmind/math_dataset |
b'Let g(b) = -12*b**4 - 5*b**3 + 5*b**2 - 599*b - 1. Let h(s) = -2*s**3 - 21*s - 1. Let c(k) = g(k) - 3*h(k). What is the second derivative of c(y) wrt y?\n' | b'-144*y**2 + 6*y + 10\n' | b'Let g(b) = -12*b**4 - 5*b**3 + 5*b**2 - 599*b - 1. Let h(s) = -2*s**3 - 21*s - 1. Let c(k) = g(k) - 3*h(k). What is the second derivative of c(y) wrt y?\n' | b'-144*y**2 + 6*y + 10\n' | deepmind/math_dataset |
b'Let v(q) be the first derivative of -35*q**3/3 - 9*q - 62. What is the first derivative of v(u) wrt u?\n' | b'-70*u\n' | b'Let v(q) be the first derivative of -35*q**3/3 - 9*q - 62. What is the first derivative of v(u) wrt u?\n' | b'-70*u\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 m when two letters picked without replacement from smmmmmmsmmmmmmsmsm.\n' | b'91/153\n' | b'Calculate prob of picking 2 m when two letters picked without replacement from smmmmmmsmmmmmmsmsm.\n' | b'91/153\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 2, n: 1, x: 1, r: 2, m: 1}. What is prob of sequence nj?\n' | b'1/21\n' | b'Two letters picked without replacement from {j: 2, n: 1, x: 1, r: 2, m: 1}. What is prob of sequence nj?\n' | b'1/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence ttwv when four letters picked without replacement from wtwwwowwtwwwvvtvtt.\n' | b'1/136\n' | b'Calculate prob of sequence ttwv when four letters picked without replacement from wtwwwowwtwwwvvtvtt.\n' | b'1/136\n' | deepmind/math_dataset |
b'Let s = -163 + 212. Differentiate -5*t + 61*t + 3*t + s wrt t.\n' | b'59\n' | b'Let s = -163 + 212. Differentiate -5*t + 61*t + 3*t + s wrt t.\n' | b'59\n' | deepmind/math_dataset |
b'Three letters picked without replacement from sesssessssse. What is prob of sequence eee?\n' | b'1/220\n' | b'Three letters picked without replacement from sesssessssse. What is prob of sequence eee?\n' | b'1/220\n' | deepmind/math_dataset |
b'Suppose 3*p = -2*p + 35. Suppose -6*n + 82 = -2. Differentiate 7 - 4 - n*g + p with respect to g.\n' | b'-14\n' | b'Suppose 3*p = -2*p + 35. Suppose -6*n + 82 = -2. Differentiate 7 - 4 - n*g + p with respect to g.\n' | b'-14\n' | deepmind/math_dataset |
b'Let y(l) = 10*l - 18. Let w be y(3). Suppose 5*c - w = 4*c. Solve -2*g + t = g + 14, 4*t = -5*g - c for g.\n' | b'-4\n' | b'Let y(l) = 10*l - 18. Let w be y(3). Suppose 5*c - w = 4*c. Solve -2*g + t = g + 14, 4*t = -5*g - c for g.\n' | b'-4\n' | deepmind/math_dataset |
b'Let p be (12 - 3 - 10) + 3. Solve -p*k = -2, 9*k - 7 = -w + 4*k for w.\n' | b'2\n' | b'Let p be (12 - 3 - 10) + 3. Solve -p*k = -2, 9*k - 7 = -w + 4*k for w.\n' | b'2\n' | deepmind/math_dataset |
b'Let c(w) = -2*w + 2. Let u(z) = 6*z + 38. Let v be u(-7). Let m be 2 + -1 + -5 + -3 - v. Calculate c(m).\n' | b'8\n' | b'Let c(w) = -2*w + 2. Let u(z) = 6*z + 38. Let v be u(-7). Let m be 2 + -1 + -5 + -3 - v. Calculate c(m).\n' | b'8\n' | deepmind/math_dataset |
b'Let n = 45 + -25. Find the second derivative of -n + 20 - 2*a + 3*a**2 wrt a.\n' | b'6\n' | b'Let n = 45 + -25. Find the second derivative of -n + 20 - 2*a + 3*a**2 wrt a.\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((t/(t/(t**(-1/9)/t)))**(-48)/(t**9/(t/(((t*t/(t**(-1)/t))/t)/t))))**(-7/5) assuming t is positive.\n' | b't**(-182/3)\n' | b'Simplify ((t/(t/(t**(-1/9)/t)))**(-48)/(t**9/(t/(((t*t/(t**(-1)/t))/t)/t))))**(-7/5) assuming t is positive.\n' | b't**(-182/3)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ckck when four letters picked without replacement from {k: 2, c: 18}.\n' | b'1/190\n' | b'Calculate prob of sequence ckck when four letters picked without replacement from {k: 2, c: 18}.\n' | b'1/190\n' | deepmind/math_dataset |
b'Suppose 4*k - 6 = -w, -k - 2*w = -6*w - 10. Suppose 2*c + 4 = 10. Find the third derivative of 0*n**2 + 0*n**3 + 3*n**c - 3*n**k wrt n.\n' | b'18\n' | b'Suppose 4*k - 6 = -w, -k - 2*w = -6*w - 10. Suppose 2*c + 4 = 10. Find the third derivative of 0*n**2 + 0*n**3 + 3*n**c - 3*n**k wrt n.\n' | b'18\n' | deepmind/math_dataset |
b'Simplify (((u/u**5)/u)/(u/(u*u*u**(-1)*u)))**(3/7) assuming u is positive.\n' | b'u**(-12/7)\n' | b'Simplify (((u/u**5)/u)/(u/(u*u*u**(-1)*u)))**(3/7) assuming u is positive.\n' | b'u**(-12/7)\n' | deepmind/math_dataset |
b'Let y(n) = 27*n - 806. Let f be y(30). Solve 0 = 2*b + z + f*z - 16, 2*z = 5*b - 11 for b.\n' | b'3\n' | b'Let y(n) = 27*n - 806. Let f be y(30). Solve 0 = 2*b + z + f*z - 16, 2*z = 5*b - 11 for b.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((q/(q**3*q*q))/(q**(2/3)/q)*q**(3/5)/q*q*q*q**(-1))**(-21/2) assuming q is positive.\n' | b'q**(161/5)\n' | b'Simplify ((q/(q**3*q*q))/(q**(2/3)/q)*q**(3/5)/q*q*q*q**(-1))**(-21/2) assuming q is positive.\n' | b'q**(161/5)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lnnnlnalnnlinaall. What is prob of sequence lnli?\n' | b'1/272\n' | b'Four letters picked without replacement from lnnnlnalnnlinaall. What is prob of sequence lnli?\n' | b'1/272\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 3, n: 1, j: 1}. What is prob of picking 1 j, 1 n, and 2 l?\n' | b'3/5\n' | b'Four letters picked without replacement from {l: 3, n: 1, j: 1}. What is prob of picking 1 j, 1 n, and 2 l?\n' | b'3/5\n' | deepmind/math_dataset |
b'Let q(m) = -12*m + 1. Let t be q(2). Let j = t + 29. Solve 3*v = j, 0 = -4*n - 3*v - 3 + 17 for n.\n' | b'2\n' | b'Let q(m) = -12*m + 1. Let t be q(2). Let j = t + 29. Solve 3*v = j, 0 = -4*n - 3*v - 3 + 17 for n.\n' | b'2\n' | deepmind/math_dataset |
b'Let a(k) = 3*k**3 - 14*k**2 - 4*k - 3. Suppose -v = -10*v + 45. Let t be a(v). Let f(d) = -3*d. What is f(t)?\n' | b'-6\n' | b'Let a(k) = 3*k**3 - 14*k**2 - 4*k - 3. Suppose -v = -10*v + 45. Let t be a(v). Let f(d) = -3*d. What is f(t)?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify ((i**(-12)*i)/((i*i**(-15))/i))/(i/i**(-4/17)*i**43/i) assuming i is positive.\n' | b'i**(-667/17)\n' | b'Simplify ((i**(-12)*i)/((i*i**(-15))/i))/(i/i**(-4/17)*i**43/i) assuming i is positive.\n' | b'i**(-667/17)\n' | deepmind/math_dataset |
b'Simplify ((z**(-5/3)/(z/(z/(z/(z**(6/5)*z)))))/((z*z*z/(z*z**6)*z*z)/z*z*z**(-2/19)))/((z*(z/(z/z**(4/3)*z))/z)/(z**7*z))**(6/13) assuming z is positive.\n' | b'z**(19181/3705)\n' | b'Simplify ((z**(-5/3)/(z/(z/(z/(z**(6/5)*z)))))/((z*z*z/(z*z**6)*z*z)/z*z*z**(-2/19)))/((z*(z/(z/z**(4/3)*z))/z)/(z**7*z))**(6/13) assuming z is positive.\n' | b'z**(19181/3705)\n' | deepmind/math_dataset |
b'Simplify p**6*p**39*p*p*p*(p**(-2/17))**9 assuming p is positive.\n' | b'p**(798/17)\n' | b'Simplify p**6*p**39*p*p*p*(p**(-2/17))**9 assuming p is positive.\n' | b'p**(798/17)\n' | deepmind/math_dataset |
b'Simplify ((i**0*i)**(-4/15)/((i*i*(i*i**(2/9))/i)/(i*i/(i*i**(-2/5))*i*i*i)))/((i**(-1))**(2/47)*(i/(i*i/((i/i**(2/7))/i))*i)**36) assuming i is positive.\n' | b'i**(181204/14805)\n' | b'Simplify ((i**0*i)**(-4/15)/((i*i*(i*i**(2/9))/i)/(i*i/(i*i**(-2/5))*i*i*i)))/((i**(-1))**(2/47)*(i/(i*i/((i/i**(2/7))/i))*i)**36) assuming i is positive.\n' | b'i**(181204/14805)\n' | deepmind/math_dataset |
b'Let t(f) = f**3 - 2*f**2 - 3*f - 1. Let y(v) = -v + 46. Let o be y(47). Give t(o).\n' | b'-1\n' | b'Let t(f) = f**3 - 2*f**2 - 3*f - 1. Let y(v) = -v + 46. Let o be y(47). Give t(o).\n' | b'-1\n' | deepmind/math_dataset |
b'Let w be (318/(-4) - -3) + 17/(-34). Let x(f) = -37*f + 7. Let i be x(2). Let s = i - w. Solve -4*v - s = -3*l, -l = -v + 2*v - 1 for v.\n' | b'-1\n' | b'Let w be (318/(-4) - -3) + 17/(-34). Let x(f) = -37*f + 7. Let i be x(2). Let s = i - w. Solve -4*v - s = -3*l, -l = -v + 2*v - 1 for v.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 4, q: 5, h: 8}. What is prob of picking 3 h?\n' | b'7/85\n' | b'Three letters picked without replacement from {i: 4, q: 5, h: 8}. What is prob of picking 3 h?\n' | b'7/85\n' | deepmind/math_dataset |
b'Let g be 18/(-4)*(-208)/(-39). Let o be -3*21*3/9. Let u = g - o. Let p(n) = 3*n + 3. What is p(u)?\n' | b'-6\n' | b'Let g be 18/(-4)*(-208)/(-39). Let o be -3*21*3/9. Let u = g - o. Let p(n) = 3*n + 3. What is p(u)?\n' | b'-6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xxxoxxbxoxxxoooxxox. Give prob of sequence box.\n' | b'4/323\n' | b'Three letters picked without replacement from xxxoxxbxoxxxoooxxox. Give prob of sequence box.\n' | b'4/323\n' | deepmind/math_dataset |
b'Let j(x) be the third derivative of x**5/20 - x**3/3 - 4*x**2. Let w(r) = 7*r**2 - 5. Let f = 10 + -1. Let c(d) = f*j(d) - 4*w(d). Differentiate c(g) wrt g.\n' | b'-2*g\n' | b'Let j(x) be the third derivative of x**5/20 - x**3/3 - 4*x**2. Let w(r) = 7*r**2 - 5. Let f = 10 + -1. Let c(d) = f*j(d) - 4*w(d). Differentiate c(g) wrt g.\n' | b'-2*g\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mmllllldmdlmm. Give prob of picking 2 l and 1 d.\n' | b'15/143\n' | b'Three letters picked without replacement from mmllllldmdlmm. Give prob of picking 2 l and 1 d.\n' | b'15/143\n' | deepmind/math_dataset |
b'Simplify u*u*u*u**15*(u*(u**(-5/8)/u)/u*u)/u assuming u is positive.\n' | b'u**(131/8)\n' | b'Simplify u*u*u*u**15*(u*(u**(-5/8)/u)/u*u)/u assuming u is positive.\n' | b'u**(131/8)\n' | deepmind/math_dataset |
b'Let y = 5 - 2. Let c(a) be the second derivative of -3/2*a**2 + 0 + 6*a - 1/6*a**4 + 1/3*a**3. Calculate c(y).\n' | b'-15\n' | b'Let y = 5 - 2. Let c(a) be the second derivative of -3/2*a**2 + 0 + 6*a - 1/6*a**4 + 1/3*a**3. Calculate c(y).\n' | b'-15\n' | deepmind/math_dataset |
b'Let j(l) = l**3 + l**2 - 3*l + 2. Let g(a) = -17*a - 156. Let r be g(-9). Determine j(r).\n' | b'-7\n' | b'Let j(l) = l**3 + l**2 - 3*l + 2. Let g(a) = -17*a - 156. Let r be g(-9). Determine j(r).\n' | b'-7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yytyyywtccyyyytywywy. What is prob of sequence ct?\n' | b'3/190\n' | b'Two letters picked without replacement from yytyyywtccyyyytywywy. What is prob of sequence ct?\n' | b'3/190\n' | deepmind/math_dataset |
b'What is prob of sequence fib when three letters picked without replacement from {u: 4, b: 1, d: 4, f: 4, i: 3}?\n' | b'1/280\n' | b'What is prob of sequence fib when three letters picked without replacement from {u: 4, b: 1, d: 4, f: 4, i: 3}?\n' | b'1/280\n' | deepmind/math_dataset |
b'Simplify (v*(v*v**(3/2))/v*v**(-39))**(-20) assuming v is positive.\n' | b'v**730\n' | b'Simplify (v*(v*v**(3/2))/v*v**(-39))**(-20) assuming v is positive.\n' | b'v**730\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hqr. What is prob of sequence rqh?\n' | b'1/6\n' | b'Three letters picked without replacement from hqr. What is prob of sequence rqh?\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify w**(-15)/(w*w**(2/3))*(w*w**13)**(3/4) assuming w is positive.\n' | b'w**(-37/6)\n' | b'Simplify w**(-15)/(w*w**(2/3))*(w*w**13)**(3/4) assuming w is positive.\n' | b'w**(-37/6)\n' | deepmind/math_dataset |
b'Let m(t) = 77*t - 458. Suppose -2*r + 104 - 92 = 3*d, -30 = -5*r + 3*d. Give m(r).\n' | b'4\n' | b'Let m(t) = 77*t - 458. Suppose -2*r + 104 - 92 = 3*d, -30 = -5*r + 3*d. Give m(r).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify m/(m**0/m)*m*m**(-6)*m*m**(-1/7)*m**(-3/2)*(m*(m/m**(-1)*m)/m)**(7/2)/(m**(-2/11)/(m*(m*m**(2/11))/m)) assuming m is positive.\n' | b'm**(633/77)\n' | b'Simplify m/(m**0/m)*m*m**(-6)*m*m**(-1/7)*m**(-3/2)*(m*(m/m**(-1)*m)/m)**(7/2)/(m**(-2/11)/(m*(m*m**(2/11))/m)) assuming m is positive.\n' | b'm**(633/77)\n' | deepmind/math_dataset |
b'Let m(d) be the first derivative of -2 + 3/2*d**4 + 0*d + 5/2*d**2 + 0*d**3. What is the second derivative of m(l) wrt l?\n' | b'36*l\n' | b'Let m(d) be the first derivative of -2 + 3/2*d**4 + 0*d + 5/2*d**2 + 0*d**3. What is the second derivative of m(l) wrt l?\n' | b'36*l\n' | deepmind/math_dataset |
b'Let p(n) be the second derivative of n**5/10 + n**4/12 + n**3/6 - n**2/2 + 8*n. Suppose 2*g = 4*g. Suppose 0*q + 2*q - 2 = g. Calculate p(q).\n' | b'3\n' | b'Let p(n) be the second derivative of n**5/10 + n**4/12 + n**3/6 - n**2/2 + 8*n. Suppose 2*g = 4*g. Suppose 0*q + 2*q - 2 = g. Calculate p(q).\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence ii when two letters picked without replacement from {d: 2, i: 2}?\n' | b'1/6\n' | b'What is prob of sequence ii when two letters picked without replacement from {d: 2, i: 2}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Suppose 3*c = s + 6*c, 4*s + 11 = -c. Let j(l) = -4*l**3 + 6*l**2 - 5*l. Let z(i) = -3*i**3 + 6*i**2 - 4*i - 1. Let b(q) = s*z(q) + 2*j(q). Calculate b(3).\n' | b'-18\n' | b'Suppose 3*c = s + 6*c, 4*s + 11 = -c. Let j(l) = -4*l**3 + 6*l**2 - 5*l. Let z(i) = -3*i**3 + 6*i**2 - 4*i - 1. Let b(q) = s*z(q) + 2*j(q). Calculate b(3).\n' | b'-18\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 1, t: 4, x: 12, h: 2}. Give prob of sequence hh.\n' | b'1/171\n' | b'Two letters picked without replacement from {d: 1, t: 4, x: 12, h: 2}. Give prob of sequence hh.\n' | b'1/171\n' | deepmind/math_dataset |
b'Let f(v) = 5*v**3 - v**2. Suppose -5 = 4*t - 25. Suppose t*c = c. Suppose c*w - 3*w - 3 = 0. Give f(w).\n' | b'-6\n' | b'Let f(v) = 5*v**3 - v**2. Suppose -5 = 4*t - 25. Suppose t*c = c. Suppose c*w - 3*w - 3 = 0. Give f(w).\n' | b'-6\n' | deepmind/math_dataset |
b'Let r(p) = -5*p**3 - 20*p**2 + 25. Let w(z) = -z**2 + 1. Let j(u) = r(u) - 25*w(u). Find the third derivative of j(c) wrt c.\n' | b'-30\n' | b'Let r(p) = -5*p**3 - 20*p**2 + 25. Let w(z) = -z**2 + 1. Let j(u) = r(u) - 25*w(u). Find the third derivative of j(c) wrt c.\n' | b'-30\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 1 m when two letters picked without replacement from ntmtmttnttttttn.\n' | b'2/35\n' | b'Calculate prob of picking 1 n and 1 m when two letters picked without replacement from ntmtmttnttttttn.\n' | b'2/35\n' | deepmind/math_dataset |
b'Simplify k/(k/(k/k**(2/11)*k)*k*k*k)*k**(4/7)/k*k*(k/k**(2/7)*k)/(k/(k*(k/(k/(k**(-5)*k)))/k))*((k**(-2/3)*k)**10)**(-35) assuming k is positive.\n' | b'k**(-27850/231)\n' | b'Simplify k/(k/(k/k**(2/11)*k)*k*k*k)*k**(4/7)/k*k*(k/k**(2/7)*k)/(k/(k*(k/(k/(k**(-5)*k)))/k))*((k**(-2/3)*k)**10)**(-35) assuming k is positive.\n' | b'k**(-27850/231)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 1, b: 1, m: 5, h: 1, u: 3, p: 3}. What is prob of picking 1 h, 1 u, and 1 j?\n' | b'3/364\n' | b'Three letters picked without replacement from {j: 1, b: 1, m: 5, h: 1, u: 3, p: 3}. What is prob of picking 1 h, 1 u, and 1 j?\n' | b'3/364\n' | deepmind/math_dataset |
b'Simplify (h*h*h**(-13/3)/h*h/h**(-17/6))/(h/(h/h**(-35)))**(-1/37) assuming h is positive.\n' | b'h**(-33/74)\n' | b'Simplify (h*h*h**(-13/3)/h*h/h**(-17/6))/(h/(h/h**(-35)))**(-1/37) assuming h is positive.\n' | b'h**(-33/74)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {j: 7, s: 4, w: 3, m: 1, g: 1, f: 2}.\n' | b'14/153\n' | b'Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {j: 7, s: 4, w: 3, m: 1, g: 1, f: 2}.\n' | b'14/153\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qouvuuvvvvuvuvu. What is prob of sequence vq?\n' | b'1/30\n' | b'Two letters picked without replacement from qouvuuvvvvuvuvu. What is prob of sequence vq?\n' | b'1/30\n' | deepmind/math_dataset |
b'Simplify (s/(s/s**(-5)))/s**(-1/2)*s/s**(2/9)*s*s/(s/(s/(s**(-2/19)/s))) assuming s is positive.\n' | b's**(-211/342)\n' | b'Simplify (s/(s/s**(-5)))/s**(-1/2)*s/s**(2/9)*s*s/(s/(s/(s**(-2/19)/s))) assuming s is positive.\n' | b's**(-211/342)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 7, d: 1, x: 2}. Give prob of picking 2 x and 1 g.\n' | b'7/120\n' | b'Three letters picked without replacement from {g: 7, d: 1, x: 2}. Give prob of picking 2 x and 1 g.\n' | b'7/120\n' | deepmind/math_dataset |
b'Let w = 26 + -25. Let v = 8 - 6. Let m(a) = v*a + a - 2*a + 5*a**2 - a**2. Calculate m(w).\n' | b'5\n' | b'Let w = 26 + -25. Let v = 8 - 6. Let m(a) = v*a + a - 2*a + 5*a**2 - a**2. Calculate m(w).\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 s and 1 i when three letters picked without replacement from {i: 1, k: 6, s: 4}.\n' | b'2/55\n' | b'Calculate prob of picking 2 s and 1 i when three letters picked without replacement from {i: 1, k: 6, s: 4}.\n' | b'2/55\n' | deepmind/math_dataset |
b'Simplify w**(-2/7)/w**10 assuming w is positive.\n' | b'w**(-72/7)\n' | b'Simplify w**(-2/7)/w**10 assuming w is positive.\n' | b'w**(-72/7)\n' | deepmind/math_dataset |
b'Let r(y) be the first derivative of 0*y + y**3 - 2*y - 2 - y + 5. What is the derivative of r(o) wrt o?\n' | b'6*o\n' | b'Let r(y) be the first derivative of 0*y + y**3 - 2*y - 2 - y + 5. What is the derivative of r(o) wrt o?\n' | b'6*o\n' | deepmind/math_dataset |
b'Let c be (-3 + 5/3)*(-9)/2. Suppose c*s + 0*s - 12 = 0. What is the third derivative of 68*r**4 - 52*r**4 - 8*r**s + 3*r**2 wrt r?\n' | b'384*r\n' | b'Let c be (-3 + 5/3)*(-9)/2. Suppose c*s + 0*s - 12 = 0. What is the third derivative of 68*r**4 - 52*r**4 - 8*r**s + 3*r**2 wrt r?\n' | b'384*r\n' | deepmind/math_dataset |
b'What is prob of picking 3 a when three letters picked without replacement from {a: 6, f: 4, o: 3}?\n' | b'10/143\n' | b'What is prob of picking 3 a when three letters picked without replacement from {a: 6, f: 4, o: 3}?\n' | b'10/143\n' | deepmind/math_dataset |
b'Let h(r) = 679*r**3 + 7*r**2 - 7*r - 876. Let y(u) = -454*u**3 - 5*u**2 + 5*u + 584. Let b(a) = 5*h(a) + 7*y(a). What is the first derivative of b(o) wrt o?\n' | b'651*o**2\n' | b'Let h(r) = 679*r**3 + 7*r**2 - 7*r - 876. Let y(u) = -454*u**3 - 5*u**2 + 5*u + 584. Let b(a) = 5*h(a) + 7*y(a). What is the first derivative of b(o) wrt o?\n' | b'651*o**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence hihh when four letters picked without replacement from hhhhhihhhhhi.\n' | b'4/33\n' | b'Calculate prob of sequence hihh when four letters picked without replacement from hhhhhihhhhhi.\n' | b'4/33\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lloyuollb. What is prob of sequence lby?\n' | b'1/126\n' | b'Three letters picked without replacement from lloyuollb. What is prob of sequence lby?\n' | b'1/126\n' | deepmind/math_dataset |
b'Let x(j) = -j**2 - 1. Let o be (-6*(-4)/30)/((-3)/(-15)). Suppose -o*n = -3*c - 18, 5*c = -0*c - 10. Determine x(n).\n' | b'-10\n' | b'Let x(j) = -j**2 - 1. Let o be (-6*(-4)/30)/((-3)/(-15)). Suppose -o*n = -3*c - 18, 5*c = -0*c - 10. Determine x(n).\n' | b'-10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from sxissxs. Give prob of picking 1 s and 1 x.\n' | b'8/21\n' | b'Two letters picked without replacement from sxissxs. Give prob of picking 1 s and 1 x.\n' | b'8/21\n' | deepmind/math_dataset |
b'Let g = 7 - -1. Let l = 11 - g. Suppose 0 = l*k - 4*k + 3. Solve -k*r + r = -4*t - 14, -5*r + 23 = -4*t for r.\n' | b'3\n' | b'Let g = 7 - -1. Let l = 11 - g. Suppose 0 = l*k - 4*k + 3. Solve -k*r + r = -4*t - 14, -5*r + 23 = -4*t for r.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 2 f and 1 r when three letters picked without replacement from frhrfrrururfffryb?\n' | b'7/68\n' | b'What is prob of picking 2 f and 1 r when three letters picked without replacement from frhrfrrururfffryb?\n' | b'7/68\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 2, v: 3}. Give prob of picking 2 v.\n' | b'3/10\n' | b'Two letters picked without replacement from {p: 2, v: 3}. Give prob of picking 2 v.\n' | b'3/10\n' | deepmind/math_dataset |
b'Calculate prob of sequence gy when two letters picked without replacement from raraeaergeeggary.\n' | b'1/80\n' | b'Calculate prob of sequence gy when two letters picked without replacement from raraeaergeeggary.\n' | b'1/80\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 1 t when two letters picked without replacement from tzzgzgeegggg?\n' | b'1/11\n' | b'What is prob of picking 1 g and 1 t when two letters picked without replacement from tzzgzgeegggg?\n' | b'1/11\n' | deepmind/math_dataset |
b'What is prob of sequence tu when two letters picked without replacement from {u: 7, s: 4, c: 1, t: 1, i: 4, f: 3}?\n' | b'7/380\n' | b'What is prob of sequence tu when two letters picked without replacement from {u: 7, s: 4, c: 1, t: 1, i: 4, f: 3}?\n' | b'7/380\n' | deepmind/math_dataset |
b'Suppose 0*x - 765 = -3*x. Let y be x/34*(-4)/5. Let n be (-1)/(-1 - y) - (-3)/15. Solve 0 = -z - 6*g + g - 20, n = -5*g - 15 for z.\n' | b'-5\n' | b'Suppose 0*x - 765 = -3*x. Let y be x/34*(-4)/5. Let n be (-1)/(-1 - y) - (-3)/15. Solve 0 = -z - 6*g + g - 20, n = -5*g - 15 for z.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -3*d = 4*a - 153, 287 = 4*a - 4*d + 99. Suppose 0 = -4*l + 49 + 7. Suppose l*v + 0 = a. Solve -3*w = -3*i, i + v*w + 0*w - 16 = 0 for i.\n' | b'4\n' | b'Suppose -3*d = 4*a - 153, 287 = 4*a - 4*d + 99. Suppose 0 = -4*l + 49 + 7. Suppose l*v + 0 = a. Solve -3*w = -3*i, i + v*w + 0*w - 16 = 0 for i.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zggg. Give prob of sequence ggz.\n' | b'1/4\n' | b'Three letters picked without replacement from zggg. Give prob of sequence ggz.\n' | b'1/4\n' | deepmind/math_dataset |
b'Let d = -95 + 31. Let t = d - -67. Solve -2*x - t*h + 9 = -x, h = -x + 1 for x.\n' | b'-3\n' | b'Let d = -95 + 31. Let t = d - -67. Solve -2*x - t*h + 9 = -x, h = -x + 1 for x.\n' | b'-3\n' | deepmind/math_dataset |
b'Let l(d) be the first derivative of d**6/6 + d**5/5 + 11*d**4/2 + 2588*d**3 - 10551. What is the third derivative of l(p) wrt p?\n' | b'60*p**2 + 24*p + 132\n' | b'Let l(d) be the first derivative of d**6/6 + d**5/5 + 11*d**4/2 + 2588*d**3 - 10551. What is the third derivative of l(p) wrt p?\n' | b'60*p**2 + 24*p + 132\n' | deepmind/math_dataset |
b'What is prob of sequence pl when two letters picked without replacement from heedlqpl?\n' | b'1/28\n' | b'What is prob of sequence pl when two letters picked without replacement from heedlqpl?\n' | b'1/28\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 4, b: 1, v: 1, e: 7}. Give prob of sequence ce.\n' | b'7/39\n' | b'Two letters picked without replacement from {c: 4, b: 1, v: 1, e: 7}. Give prob of sequence ce.\n' | b'7/39\n' | deepmind/math_dataset |
b'Let c be 15 - 3/((-3)/(-2)). Let h = c - 8. Solve -r = -w + 6, -6*r - 28 = -h*w - 2*r for w.\n' | b'4\n' | b'Let c be 15 - 3/((-3)/(-2)). Let h = c - 8. Solve -r = -w + 6, -6*r - 28 = -h*w - 2*r for w.\n' | b'4\n' | deepmind/math_dataset |
b'Let s be 42/(-14)*((2 - 4) + 1). Let n(u) = -25*u**2 + 6 + 3*u + 9*u**2 + 2*u**s + 10*u**2. Let i be n(3). Solve -2*l = 3*j - 23, -j + 2*j - 5*l + i = 0 for j.\n' | b'5\n' | b'Let s be 42/(-14)*((2 - 4) + 1). Let n(u) = -25*u**2 + 6 + 3*u + 9*u**2 + 2*u**s + 10*u**2. Let i be n(3). Solve -2*l = 3*j - 23, -j + 2*j - 5*l + i = 0 for j.\n' | b'5\n' | deepmind/math_dataset |
b'Let o = -142 + 161. Let i = o - 17. Find the third derivative of 0*v**2 + 13*v**2 + 14*v**4 + 9*v**2 + 6*v**i wrt v.\n' | b'336*v\n' | b'Let o = -142 + 161. Let i = o - 17. Find the third derivative of 0*v**2 + 13*v**2 + 14*v**4 + 9*v**2 + 6*v**i wrt v.\n' | b'336*v\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pppgqpppcqpgppqp. What is prob of sequence cp?\n' | b'1/24\n' | b'Two letters picked without replacement from pppgqpppcqpgppqp. What is prob of sequence cp?\n' | b'1/24\n' | deepmind/math_dataset |
b'Let k(m) = -m**4 + m**3 + m + 1. Let a(z) = -19*z**4 + 3*z**3 + 3*z - 6. Let o(f) = a(f) - 3*k(f). Find the first derivative of o(c) wrt c.\n' | b'-64*c**3\n' | b'Let k(m) = -m**4 + m**3 + m + 1. Let a(z) = -19*z**4 + 3*z**3 + 3*z - 6. Let o(f) = a(f) - 3*k(f). Find the first derivative of o(c) wrt c.\n' | b'-64*c**3\n' | deepmind/math_dataset |
b'Let r = -2 - 3. Let f(k) = k**2 + 7*k + 4. What is f(r)?\n' | b'-6\n' | b'Let r = -2 - 3. Let f(k) = k**2 + 7*k + 4. What is f(r)?\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 q when three letters picked without replacement from {q: 6, a: 13}.\n' | b'20/969\n' | b'Calculate prob of picking 3 q when three letters picked without replacement from {q: 6, a: 13}.\n' | b'20/969\n' | deepmind/math_dataset |
b'What is prob of sequence yn when two letters picked without replacement from fyfnnayaafyfn?\n' | b'3/52\n' | b'What is prob of sequence yn when two letters picked without replacement from fyfnnayaafyfn?\n' | b'3/52\n' | deepmind/math_dataset |
b'Let z(o) be the second derivative of 1523*o**4/12 - 5225*o**3/6 - o**2/2 + 6*o + 88. What is the second derivative of z(y) wrt y?\n' | b'3046\n' | b'Let z(o) be the second derivative of 1523*o**4/12 - 5225*o**3/6 - o**2/2 + 6*o + 88. What is the second derivative of z(y) wrt y?\n' | b'3046\n' | deepmind/math_dataset |
b'Let h(b) = 1 - 4*b - b**2 + 7*b + 0*b. Give h(2).\n' | b'3\n' | b'Let h(b) = 1 - 4*b - b**2 + 7*b + 0*b. Give h(2).\n' | b'3\n' | deepmind/math_dataset |
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