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 be (-1 - -3)/((-9)/(-396)). Suppose -91*i = -j*i - 12. Solve 4*x - 5*a + 4 = -2, i*x - 2*a = 0 for x.\n' | b'1\n' | b'Let j be (-1 - -3)/((-9)/(-396)). Suppose -91*i = -j*i - 12. Solve 4*x - 5*a + 4 = -2, i*x - 2*a = 0 for x.\n' | b'1\n' | deepmind/math_dataset |
b'Let v(s) = s**3 + 2*s**2 - 3*s - 3. Suppose 2*u = 5*n - 21, -2*u - 4*n = -4*u - 18. What is v(u)?\n' | b'-3\n' | b'Let v(s) = s**3 + 2*s**2 - 3*s - 3. Suppose 2*u = 5*n - 21, -2*u - 4*n = -4*u - 18. What is v(u)?\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 4 - 88 = -6*x. Find the second derivative of -x*d + 443 - 15*d - 443 - d**2 wrt d.\n' | b'-2\n' | b'Suppose 4 - 88 = -6*x. Find the second derivative of -x*d + 443 - 15*d - 443 - d**2 wrt d.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 4, r: 2, b: 3}. What is prob of picking 2 r?\n' | b'1/36\n' | b'Two letters picked without replacement from {t: 4, r: 2, b: 3}. What is prob of picking 2 r?\n' | b'1/36\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 3, x: 3, s: 3, b: 1, r: 1, v: 4}. Give prob of sequence sxr.\n' | b'3/910\n' | b'Three letters picked without replacement from {i: 3, x: 3, s: 3, b: 1, r: 1, v: 4}. Give prob of sequence sxr.\n' | b'3/910\n' | deepmind/math_dataset |
b'Simplify ((r*r*(r**(-3)/r)/r*r)**(-1/31))**42 assuming r is positive.\n' | b'r**(84/31)\n' | b'Simplify ((r*r*(r**(-3)/r)/r*r)**(-1/31))**42 assuming r is positive.\n' | b'r**(84/31)\n' | deepmind/math_dataset |
b'Let f(k) be the third derivative of 1/20*k**5 + 0 + 0*k + 0*k**4 - 4*k**2 + 2/3*k**3. Find the first derivative of f(x) wrt x.\n' | b'6*x\n' | b'Let f(k) be the third derivative of 1/20*k**5 + 0 + 0*k + 0*k**4 - 4*k**2 + 2/3*k**3. Find the first derivative of f(x) wrt x.\n' | b'6*x\n' | deepmind/math_dataset |
b'Let s(j) = -579*j**2 + 7*j + 131. Let x(g) = -289*g**2 + 4*g + 65. Let r(h) = 4*s(h) - 7*x(h). Find the first derivative of r(z) wrt z.\n' | b'-586*z\n' | b'Let s(j) = -579*j**2 + 7*j + 131. Let x(g) = -289*g**2 + 4*g + 65. Let r(h) = 4*s(h) - 7*x(h). Find the first derivative of r(z) wrt z.\n' | b'-586*z\n' | deepmind/math_dataset |
b'Let a = 6 + -7. Let w be a/6 - (-441)/54. Solve 4*q - w = 5*j, 4*j + 3*q - 4*q = -13 for j.\n' | b'-4\n' | b'Let a = 6 + -7. Let w be a/6 - (-441)/54. Solve 4*q - w = 5*j, 4*j + 3*q - 4*q = -13 for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Let a(n) = -32*n + 547. Let f be a(17). Solve f*v - 15 = 2*l, 768*v - 2*l - 9 = 767*v for v.\n' | b'3\n' | b'Let a(n) = -32*n + 547. Let f be a(17). Solve f*v - 15 = 2*l, 768*v - 2*l - 9 = 767*v for v.\n' | b'3\n' | deepmind/math_dataset |
b'Let q(i) = -i**3 - 3*i**2 - 6*i - 3. Let u be q(-2). Let f = 22 + -29. Let z be 2/(-14) - 36/f. Solve 3*m = 4*j + u, z*m = 3*j + 7 + 5 for m.\n' | b'3\n' | b'Let q(i) = -i**3 - 3*i**2 - 6*i - 3. Let u be q(-2). Let f = 22 + -29. Let z be 2/(-14) - 36/f. Solve 3*m = 4*j + u, z*m = 3*j + 7 + 5 for m.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((f**(1/2)/f**(1/20))/((f**(-13/4)*f)/f*f*f**15*f))**(2/7) assuming f is positive.\n' | b'f**(-19/5)\n' | b'Simplify ((f**(1/2)/f**(1/20))/((f**(-13/4)*f)/f*f*f**15*f))**(2/7) assuming f is positive.\n' | b'f**(-19/5)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 9, u: 3, v: 3, p: 1, s: 1, c: 2}. Give prob of picking 1 d and 1 c.\n' | b'2/19\n' | b'Two letters picked without replacement from {d: 9, u: 3, v: 3, p: 1, s: 1, c: 2}. Give prob of picking 1 d and 1 c.\n' | b'2/19\n' | deepmind/math_dataset |
b'Let g = 820 - 439. Let l = -371 + g. Solve l = 5*f, -f + 1 + 9 = 4*a for a.\n' | b'2\n' | b'Let g = 820 - 439. Let l = -371 + g. Solve l = 5*f, -f + 1 + 9 = 4*a for a.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 2, k: 9}. Give prob of sequence ii.\n' | b'1/55\n' | b'Two letters picked without replacement from {i: 2, k: 9}. Give prob of sequence ii.\n' | b'1/55\n' | deepmind/math_dataset |
b'Suppose 0 = 3*p + 5*p - 120. Let u be ((-11)/2)/(1/2). Let b = u + p. Solve 0 = x - k + 4*k - 5, 3*x = -b*k + 10 for x.\n' | b'2\n' | b'Suppose 0 = 3*p + 5*p - 120. Let u be ((-11)/2)/(1/2). Let b = u + p. Solve 0 = x - k + 4*k - 5, 3*x = -b*k + 10 for x.\n' | b'2\n' | deepmind/math_dataset |
b'Let z = -27 - -46. Let f = z - 34. Let c be (-65)/f - (-2)/3. Solve 4*m + 36 = c*n, -5*n - m + 16 = -0 for n.\n' | b'4\n' | b'Let z = -27 - -46. Let f = z - 34. Let c be (-65)/f - (-2)/3. Solve 4*m + 36 = c*n, -5*n - m + 16 = -0 for n.\n' | b'4\n' | deepmind/math_dataset |
b'Let u(b) be the third derivative of b**5/60 + 11*b**4/24 + 3*b**3/2 - b**2. Let i(r) = -r**2 + 8*r + 24. Let z be i(12). Let p be z/16*(2 + 4). Determine u(p).\n' | b'-9\n' | b'Let u(b) be the third derivative of b**5/60 + 11*b**4/24 + 3*b**3/2 - b**2. Let i(r) = -r**2 + 8*r + 24. Let z be i(12). Let p be z/16*(2 + 4). Determine u(p).\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify n**(2/89)/(n**(-1/3)*n)*(n/n**0*n)/(n/n**2) assuming n is positive.\n' | b'n**(629/267)\n' | b'Simplify n**(2/89)/(n**(-1/3)*n)*(n/n**0*n)/(n/n**2) assuming n is positive.\n' | b'n**(629/267)\n' | deepmind/math_dataset |
b'Let r(o) be the second derivative of -o + 1/6*o**7 + 0 + 0*o**5 + 0*o**3 + 0*o**2 + 2/3*o**4 + 0*o**6. Find the third derivative of r(m) wrt m.\n' | b'420*m**2\n' | b'Let r(o) be the second derivative of -o + 1/6*o**7 + 0 + 0*o**5 + 0*o**3 + 0*o**2 + 2/3*o**4 + 0*o**6. Find the third derivative of r(m) wrt m.\n' | b'420*m**2\n' | deepmind/math_dataset |
b'Let l(v) be the second derivative of -131*v + 1/2*v**2 - 14*v**3 + 0 + 1/12*v**4 - 5/6*v**6 + 0*v**5. Find the second derivative of l(d) wrt d.\n' | b'-300*d**2 + 2\n' | b'Let l(v) be the second derivative of -131*v + 1/2*v**2 - 14*v**3 + 0 + 1/12*v**4 - 5/6*v**6 + 0*v**5. Find the second derivative of l(d) wrt d.\n' | b'-300*d**2 + 2\n' | deepmind/math_dataset |
b'Calculate prob of sequence xgxg when four letters picked without replacement from {g: 3, x: 9}.\n' | b'2/55\n' | b'Calculate prob of sequence xgxg when four letters picked without replacement from {g: 3, x: 9}.\n' | b'2/55\n' | deepmind/math_dataset |
b'Let j(p) = p + 1. Let t(z) = 4*z + 1. Let d(m) = -j(m) + t(m). Let i be d(-2). Let c(x) = x**2 + 6*x - 1. Give c(i).\n' | b'-1\n' | b'Let j(p) = p + 1. Let t(z) = 4*z + 1. Let d(m) = -j(m) + t(m). Let i be d(-2). Let c(x) = x**2 + 6*x - 1. Give c(i).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (a**0/a**(-2/7))**(-5/6)/(a**(-3/10)/a**(-1/7))**(-1/36) assuming a is positive.\n' | b'a**(-611/2520)\n' | b'Simplify (a**0/a**(-2/7))**(-5/6)/(a**(-3/10)/a**(-1/7))**(-1/36) assuming a is positive.\n' | b'a**(-611/2520)\n' | deepmind/math_dataset |
b'Simplify z**2/(z*((z**27*z*z)/z*z)/z)*z**(-5/7)*z**(-5/3) assuming z is positive.\n' | b'z**(-617/21)\n' | b'Simplify z**2/(z*((z**27*z*z)/z*z)/z)*z**(-5/7)*z**(-5/3) assuming z is positive.\n' | b'z**(-617/21)\n' | deepmind/math_dataset |
b'What is prob of picking 2 w and 1 h when three letters picked without replacement from {w: 12, h: 1}?\n' | b'3/13\n' | b'What is prob of picking 2 w and 1 h when three letters picked without replacement from {w: 12, h: 1}?\n' | b'3/13\n' | deepmind/math_dataset |
b'Let f(j) = -2*j**2 - 29*j - 35. Let l be f(-13). Suppose 0 = -2*a + l*o + 2, 5*o + 2 = 6*a - 4*a. Solve -2 = -2*r, -n + 2*n + 3*r = -a for n.\n' | b'-4\n' | b'Let f(j) = -2*j**2 - 29*j - 35. Let l be f(-13). Suppose 0 = -2*a + l*o + 2, 5*o + 2 = 6*a - 4*a. Solve -2 = -2*r, -n + 2*n + 3*r = -a for n.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 8*q - 2 = 7*q. Let t be -2 - (q + (-1 - 2)) - -14. Solve 5*j - 48 + t = -5*v, -9 = -3*j for v.\n' | b'4\n' | b'Suppose 8*q - 2 = 7*q. Let t be -2 - (q + (-1 - 2)) - -14. Solve 5*j - 48 + t = -5*v, -9 = -3*j for v.\n' | b'4\n' | deepmind/math_dataset |
b'Let b(w) = -w**3 + 8*w**2 + 7*w + 21. Let v(s) = -s**3 + 9*s**2 + 8*s + 25. Let q(d) = -7*b(d) + 6*v(d). Determine q(2).\n' | b'1\n' | b'Let b(w) = -w**3 + 8*w**2 + 7*w + 21. Let v(s) = -s**3 + 9*s**2 + 8*s + 25. Let q(d) = -7*b(d) + 6*v(d). Determine q(2).\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -l = 3*l. Suppose j + l*j = 4. What is the second derivative of 0*n**4 + 2*n**j + n + 2*n wrt n?\n' | b'24*n**2\n' | b'Suppose -l = 3*l. Suppose j + l*j = 4. What is the second derivative of 0*n**4 + 2*n**j + n + 2*n wrt n?\n' | b'24*n**2\n' | deepmind/math_dataset |
b'Let j(s) = -2*s - s**3 - 2 - 2*s - 2*s**2 - 3*s + 5*s. Let m be j(-2). Differentiate -2 - 9*t**2 + 5 - 2 + m wrt t.\n' | b'-18*t\n' | b'Let j(s) = -2*s - s**3 - 2 - 2*s - 2*s**2 - 3*s + 5*s. Let m be j(-2). Differentiate -2 - 9*t**2 + 5 - 2 + m wrt t.\n' | b'-18*t\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ggiggiigigggigggiig. Give prob of picking 1 g and 3 i.\n' | b'35/323\n' | b'Four letters picked without replacement from ggiggiigigggigggiig. Give prob of picking 1 g and 3 i.\n' | b'35/323\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wugunwugguwggwugug. What is prob of picking 3 u and 1 w?\n' | b'4/153\n' | b'Four letters picked without replacement from wugunwugguwggwugug. What is prob of picking 3 u and 1 w?\n' | b'4/153\n' | deepmind/math_dataset |
b'Let c be 5/(-2)*2/(-1). Suppose 8*h - 2*h - 28 = 8. Solve -3*o + 35 = -c*l, -h - 1 = o + 3*l for o.\n' | b'5\n' | b'Let c be 5/(-2)*2/(-1). Suppose 8*h - 2*h - 28 = 8. Solve -3*o + 35 = -c*l, -h - 1 = o + 3*l for o.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zzizkvw. What is prob of picking 1 i and 2 z?\n' | b'3/35\n' | b'Three letters picked without replacement from zzizkvw. What is prob of picking 1 i and 2 z?\n' | b'3/35\n' | deepmind/math_dataset |
b'Suppose 888 = 92*x - 216. Solve x = 2*s + 2*w, 0 = 2*s + 5*w - 15 - 9 for s.\n' | b'2\n' | b'Suppose 888 = 92*x - 216. Solve x = 2*s + 2*w, 0 = 2*s + 5*w - 15 - 9 for s.\n' | b'2\n' | deepmind/math_dataset |
b'Let q(o) be the first derivative of -o**6 + 5*o**4/2 - 4*o**3/3 + 2*o - 80. What is the third derivative of q(l) wrt l?\n' | b'-360*l**2 + 60\n' | b'Let q(o) be the first derivative of -o**6 + 5*o**4/2 - 4*o**3/3 + 2*o - 80. What is the third derivative of q(l) wrt l?\n' | b'-360*l**2 + 60\n' | deepmind/math_dataset |
b'Let y be (-816)/(-432) + (2 - (-34)/(-18)). Solve -2*h - 3*k - 3 = 3, 4*h - 4 = y*k for h.\n' | b'0\n' | b'Let y be (-816)/(-432) + (2 - (-34)/(-18)). Solve -2*h - 3*k - 3 = 3, 4*h - 4 = y*k for h.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 1, z: 1, l: 2, t: 1, a: 1, m: 1}. Give prob of sequence ma.\n' | b'1/42\n' | b'Two letters picked without replacement from {d: 1, z: 1, l: 2, t: 1, a: 1, m: 1}. Give prob of sequence ma.\n' | b'1/42\n' | deepmind/math_dataset |
b'Simplify ((i/(i**(2/3)/i))**(2/43)*i*i**5*i**5)/(((i/(i*i**(-4)))/(i**(-5)/i))/(i**(1/4)/i)**(1/9)) assuming i is positive.\n' | b'i**(505/516)\n' | b'Simplify ((i/(i**(2/3)/i))**(2/43)*i*i**5*i**5)/(((i/(i*i**(-4)))/(i**(-5)/i))/(i**(1/4)/i)**(1/9)) assuming i is positive.\n' | b'i**(505/516)\n' | deepmind/math_dataset |
b'Simplify (((x/x**0*x)/x)**(2/37)/(x**(-3/4)*x**(-1)/x*x*x))**(7/2) assuming x is positive.\n' | b'x**(833/296)\n' | b'Simplify (((x/x**0*x)/x)**(2/37)/(x**(-3/4)*x**(-1)/x*x*x))**(7/2) assuming x is positive.\n' | b'x**(833/296)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 4, q: 6, b: 6, a: 2}. What is prob of sequence oq?\n' | b'4/51\n' | b'Two letters picked without replacement from {o: 4, q: 6, b: 6, a: 2}. What is prob of sequence oq?\n' | b'4/51\n' | deepmind/math_dataset |
b'Let l(w) = -w**3 + 6*w**2 + 1635*w - 6561. Let g be l(4). Let j = 0 - -1. Solve -3*v + 5*y = g + j, 0 = v - 4*y + 11 for v.\n' | b'1\n' | b'Let l(w) = -w**3 + 6*w**2 + 1635*w - 6561. Let g be l(4). Let j = 0 - -1. Solve -3*v + 5*y = g + j, 0 = v - 4*y + 11 for v.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((b**3/(b/((b*(b**(2/15)*b)/b)/b)))/(b**(1/3)*(b*b**0)/b*b))/((b**(-5))**(3/37))**(-11) assuming b is positive.\n' | b'b**(-677/185)\n' | b'Simplify ((b**3/(b/((b*(b**(2/15)*b)/b)/b)))/(b**(1/3)*(b*b**0)/b*b))/((b**(-5))**(3/37))**(-11) assuming b is positive.\n' | b'b**(-677/185)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 3, o: 2}. What is prob of sequence op?\n' | b'3/10\n' | b'Two letters picked without replacement from {p: 3, o: 2}. What is prob of sequence op?\n' | b'3/10\n' | deepmind/math_dataset |
b'Simplify (((j*j**(-1/3))/j)/((j**(-4)*j)/j*j))**(-2/37)*((j**(-1/4))**(1/16))**(16/7) assuming j is positive.\n' | b'j**(-559/3108)\n' | b'Simplify (((j*j**(-1/3))/j)/((j**(-4)*j)/j*j))**(-2/37)*((j**(-1/4))**(1/16))**(16/7) assuming j is positive.\n' | b'j**(-559/3108)\n' | deepmind/math_dataset |
b'Let q(t) = 8*t + 28. Let f(o) = -o**3 + o**2 + 25*o - 62. Let v be f(4). Give q(v).\n' | b'-52\n' | b'Let q(t) = 8*t + 28. Let f(o) = -o**3 + o**2 + 25*o - 62. Let v be f(4). Give q(v).\n' | b'-52\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 1, q: 2, j: 1, k: 4}. Give prob of sequence kkkj.\n' | b'1/70\n' | b'Four letters picked without replacement from {u: 1, q: 2, j: 1, k: 4}. Give prob of sequence kkkj.\n' | b'1/70\n' | deepmind/math_dataset |
b'Two letters picked without replacement from affzfafafazfzzaazfz. What is prob of picking 2 f?\n' | b'7/57\n' | b'Two letters picked without replacement from affzfafafazfzzaazfz. What is prob of picking 2 f?\n' | b'7/57\n' | deepmind/math_dataset |
b'Suppose 3*r + 16 = 7*r. Find the first derivative of 12 - 11*a**r + 642*a**2 - 642*a**2 wrt a.\n' | b'-44*a**3\n' | b'Suppose 3*r + 16 = 7*r. Find the first derivative of 12 - 11*a**r + 642*a**2 - 642*a**2 wrt a.\n' | b'-44*a**3\n' | deepmind/math_dataset |
b'Simplify (w*w*w**(-2/5)/w*w)**(-46)/(w**3*w**(-5))*(w**(-6)/w**(-2/9))/(w**(-1))**24 assuming w is positive.\n' | b'w**(-2402/45)\n' | b'Simplify (w*w*w**(-2/5)/w*w)**(-46)/(w**3*w**(-5))*(w**(-6)/w**(-2/9))/(w**(-1))**24 assuming w is positive.\n' | b'w**(-2402/45)\n' | deepmind/math_dataset |
b'Let i(r) = -5*r - 336 + 7*r + 334. Calculate i(13).\n' | b'24\n' | b'Let i(r) = -5*r - 336 + 7*r + 334. Calculate i(13).\n' | b'24\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ndsrjud. What is prob of picking 1 r, 1 n, and 1 d?\n' | b'2/35\n' | b'Three letters picked without replacement from ndsrjud. What is prob of picking 1 r, 1 n, and 1 d?\n' | b'2/35\n' | deepmind/math_dataset |
b'Let c(v) = -2*v**3 + 6*v**2 - 6. Let m(a) = 7*a - 6*a - a - a**2. Let n(q) = -c(q) - 6*m(q). What is the first derivative of n(p) wrt p?\n' | b'6*p**2\n' | b'Let c(v) = -2*v**3 + 6*v**2 - 6. Let m(a) = 7*a - 6*a - a - a**2. Let n(q) = -c(q) - 6*m(q). What is the first derivative of n(p) wrt p?\n' | b'6*p**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 1 x when two letters picked without replacement from gxwzk?\n' | b'1/10\n' | b'What is prob of picking 1 g and 1 x when two letters picked without replacement from gxwzk?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let g(p) be the second derivative of -237*p**4/4 - p**3/6 - 2359*p**2/2 - 17*p - 4. Find the first derivative of g(t) wrt t.\n' | b'-1422*t - 1\n' | b'Let g(p) be the second derivative of -237*p**4/4 - p**3/6 - 2359*p**2/2 - 17*p - 4. Find the first derivative of g(t) wrt t.\n' | b'-1422*t - 1\n' | deepmind/math_dataset |
b'Suppose k + 49 = s, 5*s - 86 = 3*s - k. Let j be 4/(-5) - (-171)/s. Solve j*f + f + 2 = 2*x, -4*x - 2*f = 16 for x.\n' | b'-3\n' | b'Suppose k + 49 = s, 5*s - 86 = 3*s - k. Let j be 4/(-5) - (-171)/s. Solve j*f + f + 2 = 2*x, -4*x - 2*f = 16 for x.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 5*m - 218 = -158. Solve 0 = -r + 2*n - 4, m*r - 4*n = 8*r - 12 for r.\n' | b'-2\n' | b'Suppose 5*m - 218 = -158. Solve 0 = -r + 2*n - 4, m*r - 4*n = 8*r - 12 for r.\n' | b'-2\n' | deepmind/math_dataset |
b'Let b = -5 + 13. Suppose -3*q + b = -2*y, y + 12 = 5*q - 2*y. Solve -3*l + i - 11 = 0, q*i = 2*i - 4 for l.\n' | b'-3\n' | b'Let b = -5 + 13. Suppose -3*q + b = -2*y, y + 12 = 5*q - 2*y. Solve -3*l + i - 11 = 0, q*i = 2*i - 4 for l.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence oooa when four letters picked without replacement from {a: 6, o: 11, v: 2}.\n' | b'165/2584\n' | b'Calculate prob of sequence oooa when four letters picked without replacement from {a: 6, o: 11, v: 2}.\n' | b'165/2584\n' | deepmind/math_dataset |
b'What is prob of picking 2 y when two letters picked without replacement from {y: 2, h: 2}?\n' | b'1/6\n' | b'What is prob of picking 2 y when two letters picked without replacement from {y: 2, h: 2}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 1, j: 2, m: 1, c: 10}. Give prob of sequence cmcc.\n' | b'30/1001\n' | b'Four letters picked without replacement from {p: 1, j: 2, m: 1, c: 10}. Give prob of sequence cmcc.\n' | b'30/1001\n' | deepmind/math_dataset |
b'Suppose 2*o = 24*i - 21*i + 22, -o + 25 = -5*i. Let z be 0/1 + 6/2. Solve -5*n = -3*q + 25, z*q - 25 = 4*n - o for n.\n' | b'-5\n' | b'Suppose 2*o = 24*i - 21*i + 22, -o + 25 = -5*i. Let z be 0/1 + 6/2. Solve -5*n = -3*q + 25, z*q - 25 = 4*n - o for n.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence bddb when four letters picked without replacement from {b: 11, z: 1, d: 7}?\n' | b'385/7752\n' | b'What is prob of sequence bddb when four letters picked without replacement from {b: 11, z: 1, d: 7}?\n' | b'385/7752\n' | deepmind/math_dataset |
b'Simplify (i**(5/3)/i**(-3/8))**(-7/2)/(i**(-1/4)/(i**(-1/4)*i)*(i/(i*i/i**(2/7)*i))**18) assuming i is positive.\n' | b'i**(8303/336)\n' | b'Simplify (i**(5/3)/i**(-3/8))**(-7/2)/(i**(-1/4)/(i**(-1/4)*i)*(i/(i*i/i**(2/7)*i))**18) assuming i is positive.\n' | b'i**(8303/336)\n' | deepmind/math_dataset |
b'Simplify (i**13)**47 assuming i is positive.\n' | b'i**611\n' | b'Simplify (i**13)**47 assuming i is positive.\n' | b'i**611\n' | deepmind/math_dataset |
b'Simplify ((y/(y/(((y/(y**(2/9)*y))/y)/y)))/(y/(y*y**(-4))))**(2/167) assuming y is positive.\n' | b'y**(-112/1503)\n' | b'Simplify ((y/(y/(((y/(y**(2/9)*y))/y)/y)))/(y/(y*y**(-4))))**(2/167) assuming y is positive.\n' | b'y**(-112/1503)\n' | deepmind/math_dataset |
b'Simplify ((u/u**5)/(u*(u**(-2/3)*u)/u))**(-6)/((u*u*u/u**(-6))/(u**(-4)/u)*(u**1)**16) assuming u is positive.\n' | b'u**(-4)\n' | b'Simplify ((u/u**5)/(u*(u**(-2/3)*u)/u))**(-6)/((u*u*u/u**(-6))/(u**(-4)/u)*(u**1)**16) assuming u is positive.\n' | b'u**(-4)\n' | deepmind/math_dataset |
b'Suppose 5*v - 3*i + 5*i = -15, 0 = v - 4*i + 3. Let d(h) = h**3 + 3*h**2 - h - 3. What is d(v)?\n' | b'0\n' | b'Suppose 5*v - 3*i + 5*i = -15, 0 = v - 4*i + 3. Let d(h) = h**3 + 3*h**2 - h - 3. What is d(v)?\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 3 g and 1 m when four letters picked without replacement from mygygmggm?\n' | b'2/21\n' | b'What is prob of picking 3 g and 1 m when four letters picked without replacement from mygygmggm?\n' | b'2/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence slr when three letters picked without replacement from {r: 6, l: 2, x: 1, s: 4}.\n' | b'4/143\n' | b'Calculate prob of sequence slr when three letters picked without replacement from {r: 6, l: 2, x: 1, s: 4}.\n' | b'4/143\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zztebutzbt. Give prob of picking 1 b, 1 z, 1 e, and 1 t.\n' | b'3/35\n' | b'Four letters picked without replacement from zztebutzbt. Give prob of picking 1 b, 1 z, 1 e, and 1 t.\n' | b'3/35\n' | deepmind/math_dataset |
b'Let t be (-17 - 0)/(0 - 1). Let x be (-1)/(-2)*6/9*6. Solve -4*h = -m - 4*m + t, -4*m + 10 = -x*h for h.\n' | b'-3\n' | b'Let t be (-17 - 0)/(0 - 1). Let x be (-1)/(-2)*6/9*6. Solve -4*h = -m - 4*m + t, -4*m + 10 = -x*h for h.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 9*w + 43 = 115. Solve 2*v + 3*v - 15 = -5*b, -4*b = -w for v.\n' | b'1\n' | b'Suppose 9*w + 43 = 115. Solve 2*v + 3*v - 15 = -5*b, -4*b = -w for v.\n' | b'1\n' | deepmind/math_dataset |
b'Let o be 848/(-530)*30/(-8). Solve -5*l - 20*d + 17*d = -16, o = 4*l - d for l.\n' | b'2\n' | b'Let o be 848/(-530)*30/(-8). Solve -5*l - 20*d + 17*d = -16, o = 4*l - d for l.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 4, c: 2, i: 2}. Give prob of picking 2 i.\n' | b'1/28\n' | b'Two letters picked without replacement from {x: 4, c: 2, i: 2}. Give prob of picking 2 i.\n' | b'1/28\n' | deepmind/math_dataset |
b'Let c(y) = -y**3 + 5*y**2 - 2*y - 1. Let s be c(3). Let z = s - 8. What is the first derivative of j**3 + 2*j**z + 2*j**4 - 3*j**3 + 1 wrt j?\n' | b'8*j**3\n' | b'Let c(y) = -y**3 + 5*y**2 - 2*y - 1. Let s be c(3). Let z = s - 8. What is the first derivative of j**3 + 2*j**z + 2*j**4 - 3*j**3 + 1 wrt j?\n' | b'8*j**3\n' | deepmind/math_dataset |
b'Let z = -11 + 8. Let o(p) = 3*p + 57. Let t be o(-18). Let r(h) = 0*h**3 + h + 4*h**3 + 4*h**2 + 2 - 3*h**3 - t. Give r(z).\n' | b'5\n' | b'Let z = -11 + 8. Let o(p) = 3*p + 57. Let t be o(-18). Let r(h) = 0*h**3 + h + 4*h**3 + 4*h**2 + 2 - 3*h**3 - t. Give r(z).\n' | b'5\n' | deepmind/math_dataset |
b'Let x(f) = 3*f + 9. Let m(o) = -10*o - 27. Let p(u) = 2*m(u) + 7*x(u). Let v be p(-9). Solve 5*q - 2*s - 19 = v, 0*q = -q - 2*s - 1 for q.\n' | b'3\n' | b'Let x(f) = 3*f + 9. Let m(o) = -10*o - 27. Let p(u) = 2*m(u) + 7*x(u). Let v be p(-9). Solve 5*q - 2*s - 19 = v, 0*q = -q - 2*s - 1 for q.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 3*x - 4 = 11. Let z = 35879 - 35876. Solve -z*o - 6 = -4*h + x, 3*h - 4*o = 17 for h.\n' | b'-1\n' | b'Suppose 3*x - 4 = 11. Let z = 35879 - 35876. Solve -z*o - 6 = -4*h + x, 3*h - 4*o = 17 for h.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 5*s - 16 - 4 = 0. Let p(r) = 3 + s*r - 3. Calculate p(1).\n' | b'4\n' | b'Suppose 5*s - 16 - 4 = 0. Let p(r) = 3 + s*r - 3. Calculate p(1).\n' | b'4\n' | deepmind/math_dataset |
b'Let o(b) be the third derivative of b**6/120 + 92*b**4 + 4645*b**3/6 - 8*b**2 + 162*b + 2. Find the first derivative of o(z) wrt z.\n' | b'3*z**2 + 2208\n' | b'Let o(b) be the third derivative of b**6/120 + 92*b**4 + 4645*b**3/6 - 8*b**2 + 162*b + 2. Find the first derivative of o(z) wrt z.\n' | b'3*z**2 + 2208\n' | deepmind/math_dataset |
b'Let z = 117 + -115. Solve -2*m + 10 = 4*r - 3*m, z*r + m - 2 = 0 for r.\n' | b'2\n' | b'Let z = 117 + -115. Solve -2*m + 10 = 4*r - 3*m, z*r + m - 2 = 0 for r.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose n = -4*r, 2*n - 60*r - 12 = -56*r. Solve 5*g - 10 = 0, -n*y = -3*g + 39 - 45 for y.\n' | b'3\n' | b'Suppose n = -4*r, 2*n - 60*r - 12 = -56*r. Solve 5*g - 10 = 0, -n*y = -3*g + 39 - 45 for y.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence tt when two letters picked without replacement from tttxxttxxxxxxxtxxttt?\n' | b'18/95\n' | b'What is prob of sequence tt when two letters picked without replacement from tttxxttxxxxxxxtxxttt?\n' | b'18/95\n' | deepmind/math_dataset |
b'Let n(z) = -2*z**2 - 35*z + 100. Let g be n(-20). Solve 3*u = 5*i + 12, g*u - 2*i - 1 = -5*u for u.\n' | b'-1\n' | b'Let n(z) = -2*z**2 - 35*z + 100. Let g be n(-20). Solve 3*u = 5*i + 12, g*u - 2*i - 1 = -5*u for u.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence kz when two letters picked without replacement from {e: 1, v: 3, z: 2, k: 1}?\n' | b'1/21\n' | b'What is prob of sequence kz when two letters picked without replacement from {e: 1, v: 3, z: 2, k: 1}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 k, 1 w, and 1 n when four letters picked without replacement from {k: 9, w: 1, s: 1, b: 1, n: 5}.\n' | b'9/119\n' | b'Calculate prob of picking 2 k, 1 w, and 1 n when four letters picked without replacement from {k: 9, w: 1, s: 1, b: 1, n: 5}.\n' | b'9/119\n' | deepmind/math_dataset |
b'Let i(u) = -3*u**3 + 4*u**3 + u**2 - 2*u**2 + 3*u**2 + 1. Let d(w) = w**2 + 6*w - 10. Let a be (-10 - (0 + -1)) + 2. Let t be d(a). Determine i(t).\n' | b'-8\n' | b'Let i(u) = -3*u**3 + 4*u**3 + u**2 - 2*u**2 + 3*u**2 + 1. Let d(w) = w**2 + 6*w - 10. Let a be (-10 - (0 + -1)) + 2. Let t be d(a). Determine i(t).\n' | b'-8\n' | deepmind/math_dataset |
b'What is prob of sequence lgk when three letters picked without replacement from fgfggsglslkn?\n' | b'1/165\n' | b'What is prob of sequence lgk when three letters picked without replacement from fgfggsglslkn?\n' | b'1/165\n' | deepmind/math_dataset |
b'Suppose 2*s + 71 - 249 = 0. Find the second derivative of 9*u + s*u**3 - 74*u**3 + 6*u wrt u.\n' | b'90*u\n' | b'Suppose 2*s + 71 - 249 = 0. Find the second derivative of 9*u + s*u**3 - 74*u**3 + 6*u wrt u.\n' | b'90*u\n' | deepmind/math_dataset |
b'Let t(c) be the second derivative of -c**4/12 + c**3 - 3*c**2/2 + 2*c. Suppose -z = 4*y + 17, 4*z - 26 - 1 = 3*y. Calculate t(z).\n' | b'6\n' | b'Let t(c) be the second derivative of -c**4/12 + c**3 - 3*c**2/2 + 2*c. Suppose -z = 4*y + 17, 4*z - 26 - 1 = 3*y. Calculate t(z).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((s**(-2/11))**(2/73)/((s**(4/9)*s)/s*s/s**(2/13)))**(-2/77) assuming s is positive.\n' | b's**(243442/7234227)\n' | b'Simplify ((s**(-2/11))**(2/73)/((s**(4/9)*s)/s*s/s**(2/13)))**(-2/77) assuming s is positive.\n' | b's**(243442/7234227)\n' | deepmind/math_dataset |
b'Simplify (((g**(1/2))**(3/35))**19)**(2/71) assuming g is positive.\n' | b'g**(57/2485)\n' | b'Simplify (((g**(1/2))**(3/35))**19)**(2/71) assuming g is positive.\n' | b'g**(57/2485)\n' | deepmind/math_dataset |
b'Simplify (a/(a/a**15))**(-46)*a**(-3/17)/((a*a**(-9/10))/a) assuming a is positive.\n' | b'a**(-117177/170)\n' | b'Simplify (a/(a/a**15))**(-46)*a**(-3/17)/((a*a**(-9/10))/a) assuming a is positive.\n' | b'a**(-117177/170)\n' | deepmind/math_dataset |
b'Simplify (m**(1/74)/m**6)/((m/((m/(m/((m/(m*m**(-7/5)*m*m*m))/m)))/m)*m)/m**(-27)) assuming m is positive.\n' | b'm**(-14277/370)\n' | b'Simplify (m**(1/74)/m**6)/((m/((m/(m/((m/(m*m**(-7/5)*m*m*m))/m)))/m)*m)/m**(-27)) assuming m is positive.\n' | b'm**(-14277/370)\n' | deepmind/math_dataset |
b'Suppose 9 = 3*u + 4*f, -3 = -u - 7*f + 2*f. Solve 2*o = -2*p + 6, o + u*o - p + 3 = 0 for o.\n' | b'0\n' | b'Suppose 9 = 3*u + 4*f, -3 = -u - 7*f + 2*f. Solve 2*o = -2*p + 6, o + u*o - p + 3 = 0 for o.\n' | b'0\n' | deepmind/math_dataset |
b'Let k(u) = -u**3 - 6*u**2 + 6*u - 1. Let z be k(-7). Suppose 4*l = -186 + 190. Let y(h) = 2*h**3 - 2 - 3*h + l - 1 + 10*h - h**3 - 7*h**2. Determine y(z).\n' | b'4\n' | b'Let k(u) = -u**3 - 6*u**2 + 6*u - 1. Let z be k(-7). Suppose 4*l = -186 + 190. Let y(h) = 2*h**3 - 2 - 3*h + l - 1 + 10*h - h**3 - 7*h**2. Determine y(z).\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -4*w = 4*a - 5*w + 1, -3*w + 3 = -a. Suppose a = 5*y + 7 + 8. Let l be (-1 + y)*(-4)/(-16). Let v(u) = 7*u**3 + u**2 - u - 1. Determine v(l).\n' | b'-6\n' | b'Suppose -4*w = 4*a - 5*w + 1, -3*w + 3 = -a. Suppose a = 5*y + 7 + 8. Let l be (-1 + y)*(-4)/(-16). Let v(u) = 7*u**3 + u**2 - u - 1. Determine v(l).\n' | b'-6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 2, v: 1, b: 3, r: 3, c: 5, a: 6}. What is prob of picking 1 p and 2 c?\n' | b'1/57\n' | b'Three letters picked without replacement from {p: 2, v: 1, b: 3, r: 3, c: 5, a: 6}. What is prob of picking 1 p and 2 c?\n' | b'1/57\n' | deepmind/math_dataset |
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