question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Suppose -3*k + 81 = -j - j, 27 = k - 2*j. Let l = k + -23. Solve -y + 3*c + 7 = -1, y + 20 = -l*c for y.\n' | b'-4\n' | b'Suppose -3*k + 81 = -j - j, 27 = k - 2*j. Let l = k + -23. Solve -y + 3*c + 7 = -1, y + 20 = -l*c for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ongqagokggngo. Give prob of picking 1 k and 2 g.\n' | b'5/143\n' | b'Three letters picked without replacement from ongqagokggngo. Give prob of picking 1 k and 2 g.\n' | b'5/143\n' | deepmind/math_dataset |
b'Let y = -3805 - -3805. Solve 3*j - 3*k - 9 = y, 0 = -6*j + 3*j + 5*k + 7 for j.\n' | b'4\n' | b'Let y = -3805 - -3805. Solve 3*j - 3*k - 9 = y, 0 = -6*j + 3*j + 5*k + 7 for j.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 7, o: 7, g: 2, d: 3}. What is prob of sequence ddo?\n' | b'7/969\n' | b'Three letters picked without replacement from {w: 7, o: 7, g: 2, d: 3}. What is prob of sequence ddo?\n' | b'7/969\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xxxxxjxxfxtxtfxjxx. Give prob of picking 2 t and 1 f.\n' | b'1/408\n' | b'Three letters picked without replacement from xxxxxjxxfxtxtfxjxx. Give prob of picking 2 t and 1 f.\n' | b'1/408\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 1, z: 4, g: 1, i: 1, m: 5, h: 3}. Give prob of picking 1 h, 1 i, 1 r, and 1 g.\n' | b'1/455\n' | b'Four letters picked without replacement from {r: 1, z: 4, g: 1, i: 1, m: 5, h: 3}. Give prob of picking 1 h, 1 i, 1 r, and 1 g.\n' | b'1/455\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {c: 2, j: 7}. Give prob of sequence jjc.\n' | b'1/6\n' | b'Three letters picked without replacement from {c: 2, j: 7}. Give prob of sequence jjc.\n' | b'1/6\n' | deepmind/math_dataset |
b'What is prob of sequence vvvy when four letters picked without replacement from {y: 15, v: 4}?\n' | b'5/1292\n' | b'What is prob of sequence vvvy when four letters picked without replacement from {y: 15, v: 4}?\n' | b'5/1292\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 2 w when three letters picked without replacement from dwwddddddwdaddddd?\n' | b'3/680\n' | b'What is prob of picking 1 a and 2 w when three letters picked without replacement from dwwddddddwdaddddd?\n' | b'3/680\n' | deepmind/math_dataset |
b'Simplify ((v*v/(v/v**(1/3))*v)/((v/(v*v*v*v/(v/(v**(-4)*v))))/v))**(1/3) assuming v is positive.\n' | b'v**(7/9)\n' | b'Simplify ((v*v/(v/v**(1/3))*v)/((v/(v*v*v*v/(v/(v**(-4)*v))))/v))**(1/3) assuming v is positive.\n' | b'v**(7/9)\n' | deepmind/math_dataset |
b'Let u be (-34)/(-8) + 2/(-8). Let f(n) be the first derivative of -n**3/3 + n - 1325. Calculate f(u).\n' | b'-15\n' | b'Let u be (-34)/(-8) + 2/(-8). Let f(n) be the first derivative of -n**3/3 + n - 1325. Calculate f(u).\n' | b'-15\n' | deepmind/math_dataset |
b'Suppose 2*i - 7*i = 9*i. Solve i*n + 4*n = -2*x - 8, -n = 4*x + 9 for n.\n' | b'-1\n' | b'Suppose 2*i - 7*i = 9*i. Solve i*n + 4*n = -2*x - 8, -n = 4*x + 9 for n.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c when two letters picked without replacement from cccccccmmmm.\n' | b'21/55\n' | b'Calculate prob of picking 2 c when two letters picked without replacement from cccccccmmmm.\n' | b'21/55\n' | deepmind/math_dataset |
b'Let h(v) = 4*v + 3. Let b(z) = -z - 1. Let y(i) = -2*b(i) - h(i). Let f be y(-2). What is the second derivative of f*k**5 + k**5 + 2*k - 4*k wrt k?\n' | b'80*k**3\n' | b'Let h(v) = 4*v + 3. Let b(z) = -z - 1. Let y(i) = -2*b(i) - h(i). Let f be y(-2). What is the second derivative of f*k**5 + k**5 + 2*k - 4*k wrt k?\n' | b'80*k**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pppbbbbpkbpbzpb. Give prob of picking 1 z and 3 p.\n' | b'4/273\n' | b'Four letters picked without replacement from pppbbbbpkbpbzpb. Give prob of picking 1 z and 3 p.\n' | b'4/273\n' | deepmind/math_dataset |
b'Let f(x) be the second derivative of 0*x**3 - 7/30*x**6 + 0 + 0*x**5 + 13*x + 0*x**2 - 1/6*x**4. What is the third derivative of f(m) wrt m?\n' | b'-168*m\n' | b'Let f(x) be the second derivative of 0*x**3 - 7/30*x**6 + 0 + 0*x**5 + 13*x + 0*x**2 - 1/6*x**4. What is the third derivative of f(m) wrt m?\n' | b'-168*m\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ssxxkvosskxt. What is prob of sequence so?\n' | b'1/33\n' | b'Two letters picked without replacement from ssxxkvosskxt. What is prob of sequence so?\n' | b'1/33\n' | deepmind/math_dataset |
b'Calculate prob of sequence urbr when four letters picked without replacement from rrbkmbrukmkrkm.\n' | b'1/1001\n' | b'Calculate prob of sequence urbr when four letters picked without replacement from rrbkmbrukmkrkm.\n' | b'1/1001\n' | deepmind/math_dataset |
b'Let n(z) = -z**3 - 11*z**2 + 25*z - 13. Let t be n(-13). Suppose t = 4*a - 0*a - 76. What is the first derivative of 3*g**4 + 6*g**4 + g**4 - a + 6 wrt g?\n' | b'40*g**3\n' | b'Let n(z) = -z**3 - 11*z**2 + 25*z - 13. Let t be n(-13). Suppose t = 4*a - 0*a - 76. What is the first derivative of 3*g**4 + 6*g**4 + g**4 - a + 6 wrt g?\n' | b'40*g**3\n' | deepmind/math_dataset |
b'Let b(s) = s**2 + 6*s + 6. Let k be b(-5). Let l(w) = -21*w**2 - 6*w + 241. Let f(c) = -32*c**2 - 10*c + 386. Let h(o) = 5*f(o) - 8*l(o). What is h(k)?\n' | b'8\n' | b'Let b(s) = s**2 + 6*s + 6. Let k be b(-5). Let l(w) = -21*w**2 - 6*w + 241. Let f(c) = -32*c**2 - 10*c + 386. Let h(o) = 5*f(o) - 8*l(o). What is h(k)?\n' | b'8\n' | deepmind/math_dataset |
b'Let a(m) be the first derivative of m**7/42 + 9*m**5/40 - 5*m**3 + 14. Let j(i) be the third derivative of a(i). What is the second derivative of j(t) wrt t?\n' | b'120*t\n' | b'Let a(m) be the first derivative of m**7/42 + 9*m**5/40 - 5*m**3 + 14. Let j(i) be the third derivative of a(i). What is the second derivative of j(t) wrt t?\n' | b'120*t\n' | deepmind/math_dataset |
b'Let s(o) = -o**2 + 1. Let u = 53 + -54. Let b(m) = -20*m**3 + 5*m**2 + 11*m - 5. Let x(i) = u*b(i) - 5*s(i). What is the second derivative of x(k) wrt k?\n' | b'120*k\n' | b'Let s(o) = -o**2 + 1. Let u = 53 + -54. Let b(m) = -20*m**3 + 5*m**2 + 11*m - 5. Let x(i) = u*b(i) - 5*s(i). What is the second derivative of x(k) wrt k?\n' | b'120*k\n' | deepmind/math_dataset |
b'Suppose 2*c + 1 = -3*r + 2*r, 2*r - 5*c = 25. Solve p + 16 = -2*z - p, -r*p = -4*z + 4 for z.\n' | b'-4\n' | b'Suppose 2*c + 1 = -3*r + 2*r, 2*r - 5*c = 25. Solve p + 16 = -2*z - p, -r*p = -4*z + 4 for z.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 1, o: 3, u: 7, p: 5}. What is prob of sequence uup?\n' | b'1/16\n' | b'Three letters picked without replacement from {f: 1, o: 3, u: 7, p: 5}. What is prob of sequence uup?\n' | b'1/16\n' | deepmind/math_dataset |
b'Let b(j) = -j**2 - 25*j - 61. Let v be b(-22). Solve 3*x = -v*i + i + 3, -15 = -3*x for i.\n' | b'-3\n' | b'Let b(j) = -j**2 - 25*j - 61. Let v be b(-22). Solve 3*x = -v*i + i + 3, -15 = -3*x for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Let b = -1091 + 1096. Let w(d) = -d**2 + 3*d + 6. Calculate w(b).\n' | b'-4\n' | b'Let b = -1091 + 1096. Let w(d) = -d**2 + 3*d + 6. Calculate w(b).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -2*r - 3 - 5 = 0. Let u(h) be the first derivative of 5*h**2/2 + 3*h - 201. Calculate u(r).\n' | b'-17\n' | b'Suppose -2*r - 3 - 5 = 0. Let u(h) be the first derivative of 5*h**2/2 + 3*h - 201. Calculate u(r).\n' | b'-17\n' | deepmind/math_dataset |
b'Let k(z) = z**3 + 9*z**2 - 22*z + 1. Let b(u) = 5*u**2 - 8*u + 1. Let h(n) = -5*b(n) + 2*k(n). What is h(5)?\n' | b'52\n' | b'Let k(z) = z**3 + 9*z**2 - 22*z + 1. Let b(u) = 5*u**2 - 8*u + 1. Let h(n) = -5*b(n) + 2*k(n). What is h(5)?\n' | b'52\n' | deepmind/math_dataset |
b'Simplify (((h/(h/h**2))/h)**(-27)*(h*h/h**0)**(2/137))**2 assuming h is positive.\n' | b'h**(-7390/137)\n' | b'Simplify (((h/(h/h**2))/h)**(-27)*(h*h/h**0)**(2/137))**2 assuming h is positive.\n' | b'h**(-7390/137)\n' | deepmind/math_dataset |
b'Find the second derivative of 0*d + 29*d**2 + 11*d - 2*d**3 + 27*d**2 + 6 - 55*d**2 wrt d.\n' | b'-12*d + 2\n' | b'Find the second derivative of 0*d + 29*d**2 + 11*d - 2*d**3 + 27*d**2 + 6 - 55*d**2 wrt d.\n' | b'-12*d + 2\n' | deepmind/math_dataset |
b'Let r(a) be the first derivative of -7*a**4/4 + a**3/3 + 1. Find the third derivative of r(o) wrt o.\n' | b'-42\n' | b'Let r(a) be the first derivative of -7*a**4/4 + a**3/3 + 1. Find the third derivative of r(o) wrt o.\n' | b'-42\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 7, o: 2, c: 3, l: 7}. What is prob of picking 2 o?\n' | b'1/171\n' | b'Two letters picked without replacement from {w: 7, o: 2, c: 3, l: 7}. What is prob of picking 2 o?\n' | b'1/171\n' | deepmind/math_dataset |
b'Simplify (d/d**(-1/2)*d)**(15/4) assuming d is positive.\n' | b'd**(75/8)\n' | b'Simplify (d/d**(-1/2)*d)**(15/4) assuming d is positive.\n' | b'd**(75/8)\n' | deepmind/math_dataset |
b'Let z(o) be the first derivative of 18 + 14*o - 7/2*o**2. What is the first derivative of z(l) wrt l?\n' | b'-7\n' | b'Let z(o) be the first derivative of 18 + 14*o - 7/2*o**2. What is the first derivative of z(l) wrt l?\n' | b'-7\n' | deepmind/math_dataset |
b'Let o(p) be the third derivative of 13*p**5/60 - p**3/3 + 6*p**2. Differentiate o(f) with respect to f.\n' | b'26*f\n' | b'Let o(p) be the third derivative of 13*p**5/60 - p**3/3 + 6*p**2. Differentiate o(f) with respect to f.\n' | b'26*f\n' | deepmind/math_dataset |
b'Simplify (h*h*h*(h/(h*h**(1/2)))/h*h)**40/(h**4/((h**(-11)*h)/h)) assuming h is positive.\n' | b'h**85\n' | b'Simplify (h*h*h*(h/(h*h**(1/2)))/h*h)**40/(h**4/((h**(-11)*h)/h)) assuming h is positive.\n' | b'h**85\n' | deepmind/math_dataset |
b'What is the second derivative of -4*k**2 + 5*k**2 - 8*k + 4*k**2 - 3*k**2 wrt k?\n' | b'4\n' | b'What is the second derivative of -4*k**2 + 5*k**2 - 8*k + 4*k**2 - 3*k**2 wrt k?\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (y**(5/2)*y/y**(1/3))**43 assuming y is positive.\n' | b'y**(817/6)\n' | b'Simplify (y**(5/2)*y/y**(1/3))**43 assuming y is positive.\n' | b'y**(817/6)\n' | deepmind/math_dataset |
b'Let t(p) be the third derivative of 1/12*p**5 - 22*p**2 + 0 + 0*p + 25/6*p**3 + 0*p**4. Find the first derivative of t(g) wrt g.\n' | b'10*g\n' | b'Let t(p) be the third derivative of 1/12*p**5 - 22*p**2 + 0 + 0*p + 25/6*p**3 + 0*p**4. Find the first derivative of t(g) wrt g.\n' | b'10*g\n' | deepmind/math_dataset |
b'Simplify (n**2)**(5/8)*(n**(2/7))**(-14)*(n**(2/17)/n*n**(-2/5)/n*n)/(n/(n/((n*n*n**(2/9))/n)))**(3/14) assuming n is positive.\n' | b'n**(-30661/7140)\n' | b'Simplify (n**2)**(5/8)*(n**(2/7))**(-14)*(n**(2/17)/n*n**(-2/5)/n*n)/(n/(n/((n*n*n**(2/9))/n)))**(3/14) assuming n is positive.\n' | b'n**(-30661/7140)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 5, s: 9}. What is prob of sequence usu?\n' | b'15/182\n' | b'Three letters picked without replacement from {u: 5, s: 9}. What is prob of sequence usu?\n' | b'15/182\n' | deepmind/math_dataset |
b'Let s(c) = -22*c**3 + 21*c**3 + 10*c**2 + 0*c**2 - 3 - 13*c. Suppose 5975*l - 5978*l = -27. What is s(l)?\n' | b'-39\n' | b'Let s(c) = -22*c**3 + 21*c**3 + 10*c**2 + 0*c**2 - 3 - 13*c. Suppose 5975*l - 5978*l = -27. What is s(l)?\n' | b'-39\n' | deepmind/math_dataset |
b'What is prob of sequence vkhv when four letters picked without replacement from hvvkkvvvhk?\n' | b'1/42\n' | b'What is prob of sequence vkhv when four letters picked without replacement from hvvkkvvvhk?\n' | b'1/42\n' | deepmind/math_dataset |
b'Simplify ((l**(-6)/(l/(l*(l*(l**2/l)/l*l)/l)))/(((l*l/(l**(-7)/l*l))/l)/(l/l**5)))**(-31) assuming l is positive.\n' | b'l**527\n' | b'Simplify ((l**(-6)/(l/(l*(l*(l**2/l)/l*l)/l)))/(((l*l/(l**(-7)/l*l))/l)/(l/l**5)))**(-31) assuming l is positive.\n' | b'l**527\n' | deepmind/math_dataset |
b'Let u(d) = 78*d**3 - 4*d**2 + 4*d + 1. Let m(a) = 79*a**3 - 3*a**2 + 3*a + 2. Let y(s) = 4*m(s) - 3*u(s). Differentiate y(i) with respect to i.\n' | b'246*i**2\n' | b'Let u(d) = 78*d**3 - 4*d**2 + 4*d + 1. Let m(a) = 79*a**3 - 3*a**2 + 3*a + 2. Let y(s) = 4*m(s) - 3*u(s). Differentiate y(i) with respect to i.\n' | b'246*i**2\n' | deepmind/math_dataset |
b'Let q(z) be the second derivative of -z**4/6 + 25*z**3/2 - 52*z**2 + 5*z - 8. Calculate q(36).\n' | b'4\n' | b'Let q(z) be the second derivative of -z**4/6 + 25*z**3/2 - 52*z**2 + 5*z - 8. Calculate q(36).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (g/(g/(((g**(-17/4)/g)/g)/g))*g**48)**(-1/32) assuming g is positive.\n' | b'g**(-163/128)\n' | b'Simplify (g/(g/(((g**(-17/4)/g)/g)/g))*g**48)**(-1/32) assuming g is positive.\n' | b'g**(-163/128)\n' | deepmind/math_dataset |
b'What is prob of sequence cd when two letters picked without replacement from {c: 3, d: 3}?\n' | b'3/10\n' | b'What is prob of sequence cd when two letters picked without replacement from {c: 3, d: 3}?\n' | b'3/10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from raaraaaara. Give prob of sequence rrr.\n' | b'1/120\n' | b'Three letters picked without replacement from raaraaaara. Give prob of sequence rrr.\n' | b'1/120\n' | deepmind/math_dataset |
b'Simplify (((v**0*v*v**15)**(1/7))**(-26/3))**(8/3) assuming v is positive.\n' | b'v**(-3328/63)\n' | b'Simplify (((v**0*v*v**15)**(1/7))**(-26/3))**(8/3) assuming v is positive.\n' | b'v**(-3328/63)\n' | deepmind/math_dataset |
b'Simplify (l**(1/5))**(1/13)*(l**14/l)/(l/(l**(-6)/l)) assuming l is positive.\n' | b'l**(326/65)\n' | b'Simplify (l**(1/5))**(1/13)*(l**14/l)/(l/(l**(-6)/l)) assuming l is positive.\n' | b'l**(326/65)\n' | deepmind/math_dataset |
b'Let z be 45/6 - 1/2. Let r be 3/2*(-12)/(-9). Let d(s) = s**2 + 9*s + 2. Let u(v) = 3*v**2 + 19*v + 5. Let b(y) = r*u(y) - 5*d(y). Give b(z).\n' | b'0\n' | b'Let z be 45/6 - 1/2. Let r be 3/2*(-12)/(-9). Let d(s) = s**2 + 9*s + 2. Let u(v) = 3*v**2 + 19*v + 5. Let b(y) = r*u(y) - 5*d(y). Give b(z).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (x**5/(x*x*x/(x*x/(x*x*x**(-3/2))*x*x*x*x))*(x/x**(2/3))**(-2))/((x/x**(1/5))**(-17))**12 assuming x is positive.\n' | b'x**(5101/30)\n' | b'Simplify (x**5/(x*x*x/(x*x/(x*x*x**(-3/2))*x*x*x*x))*(x/x**(2/3))**(-2))/((x/x**(1/5))**(-17))**12 assuming x is positive.\n' | b'x**(5101/30)\n' | deepmind/math_dataset |
b'Let c(r) = r**3 - 3*r**2 - 2*r**2 - 2*r**2 + 7. Let m be -67 - -84 - 13/((-13)/(-10)). Give c(m).\n' | b'7\n' | b'Let c(r) = r**3 - 3*r**2 - 2*r**2 - 2*r**2 + 7. Let m be -67 - -84 - 13/((-13)/(-10)). Give c(m).\n' | b'7\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 1 y when two letters picked without replacement from gggggygg?\n' | b'1/4\n' | b'What is prob of picking 1 g and 1 y when two letters picked without replacement from gggggygg?\n' | b'1/4\n' | deepmind/math_dataset |
b'Simplify ((o**10)**2/(o/((o**(-4/3)/o)/o)*o**(-29/4)))**(1/49) assuming o is positive.\n' | b'o**(275/588)\n' | b'Simplify ((o**10)**2/(o/((o**(-4/3)/o)/o)*o**(-29/4)))**(1/49) assuming o is positive.\n' | b'o**(275/588)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c when two letters picked without replacement from {c: 5, x: 4, k: 2, u: 1, m: 2, p: 1}.\n' | b'2/21\n' | b'Calculate prob of picking 2 c when two letters picked without replacement from {c: 5, x: 4, k: 2, u: 1, m: 2, p: 1}.\n' | b'2/21\n' | deepmind/math_dataset |
b'Let z be ((-102)/153)/(1 + 51/(-45)). Solve 0 = z*m + 10, 94*m + 10 = -4*y + 93*m for y.\n' | b'-2\n' | b'Let z be ((-102)/153)/(1 + 51/(-45)). Solve 0 = z*m + 10, 94*m + 10 = -4*y + 93*m for y.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((a/a**(-3/5)*a*a)**(1/7))**(-1/7) assuming a is positive.\n' | b'a**(-18/245)\n' | b'Simplify ((a/a**(-3/5)*a*a)**(1/7))**(-1/7) assuming a is positive.\n' | b'a**(-18/245)\n' | deepmind/math_dataset |
b'Let j be ((-14)/4 - -1)*-2. Let m be -1*(-2)/(-5)*j. Let v(k) = -6*k**2 - 3 + 8*k**2 + k**3 - k**3 + k**3 - 3*k. Determine v(m).\n' | b'3\n' | b'Let j be ((-14)/4 - -1)*-2. Let m be -1*(-2)/(-5)*j. Let v(k) = -6*k**2 - 3 + 8*k**2 + k**3 - k**3 + k**3 - 3*k. Determine v(m).\n' | b'3\n' | deepmind/math_dataset |
b'Let j = 190 + -185. Suppose 8*y - 7 = 3*y + 3*k, 0 = y + 3*k - j. Solve 7*q + 5*x = 2*q + 15, -y*q - 15 = -5*x for q.\n' | b'0\n' | b'Let j = 190 + -185. Suppose 8*y - 7 = 3*y + 3*k, 0 = y + 3*k - j. Solve 7*q + 5*x = 2*q + 15, -y*q - 15 = -5*x for q.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 3, u: 1, h: 1, y: 2, x: 4}. What is prob of sequence hy?\n' | b'1/55\n' | b'Two letters picked without replacement from {c: 3, u: 1, h: 1, y: 2, x: 4}. What is prob of sequence hy?\n' | b'1/55\n' | deepmind/math_dataset |
b'Let m(j) = -2*j**3 - 13*j**2 - 12. Let a(t) = -t**3 - 6*t**2 - 6. Let l(p) = -7*a(p) + 3*m(p). Let f be (15/150*-4)/((-4)/(-40)). Determine l(f).\n' | b'-10\n' | b'Let m(j) = -2*j**3 - 13*j**2 - 12. Let a(t) = -t**3 - 6*t**2 - 6. Let l(p) = -7*a(p) + 3*m(p). Let f be (15/150*-4)/((-4)/(-40)). Determine l(f).\n' | b'-10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pbbpflzpbzzbb. Give prob of sequence bfb.\n' | b'5/429\n' | b'Three letters picked without replacement from pbbpflzpbzzbb. Give prob of sequence bfb.\n' | b'5/429\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 4, j: 3}. Give prob of sequence jd.\n' | b'2/7\n' | b'Two letters picked without replacement from {d: 4, j: 3}. Give prob of sequence jd.\n' | b'2/7\n' | deepmind/math_dataset |
b'Let d(p) be the third derivative of -p**8/20160 + p**7/840 - p**6/144 - p**5/30 + 6*p**2. Let b(k) be the third derivative of d(k). Calculate b(5).\n' | b'0\n' | b'Let d(p) be the third derivative of -p**8/20160 + p**7/840 - p**6/144 - p**5/30 + 6*p**2. Let b(k) be the third derivative of d(k). Calculate b(5).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 2*b + 2 = 6. Let r(q) = -5*q + 12. Let a be r(b). Solve p - 2 = 5*y - 24, -4*p = -a*y - 2 for y.\n' | b'5\n' | b'Suppose 2*b + 2 = 6. Let r(q) = -5*q + 12. Let a be r(b). Solve p - 2 = 5*y - 24, -4*p = -a*y - 2 for y.\n' | b'5\n' | deepmind/math_dataset |
b'What is the third derivative of 14*y**2 + 2*y**3 - 33*y**4 + 59*y**2 + 117*y**2 + 66*y**2 - 69*y**2 wrt y?\n' | b'-792*y + 12\n' | b'What is the third derivative of 14*y**2 + 2*y**3 - 33*y**4 + 59*y**2 + 117*y**2 + 66*y**2 - 69*y**2 wrt y?\n' | b'-792*y + 12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ssmvssssbsmmsvss. What is prob of picking 2 v?\n' | b'1/120\n' | b'Two letters picked without replacement from ssmvssssbsmmsvss. What is prob of picking 2 v?\n' | b'1/120\n' | deepmind/math_dataset |
b'Simplify (v*(v/v**9*v)/v*(v/(v**(2/17)*v)*v)/v)**(2/3) assuming v is positive.\n' | b'v**(-242/51)\n' | b'Simplify (v*(v/v**9*v)/v*(v/(v**(2/17)*v)*v)/v)**(2/3) assuming v is positive.\n' | b'v**(-242/51)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z and 3 q when four letters picked without replacement from {q: 4, z: 2, b: 1, u: 2, r: 1}.\n' | b'4/105\n' | b'Calculate prob of picking 1 z and 3 q when four letters picked without replacement from {q: 4, z: 2, b: 1, u: 2, r: 1}.\n' | b'4/105\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 1, e: 5, p: 1, q: 2, s: 1}. Give prob of picking 3 e.\n' | b'1/12\n' | b'Three letters picked without replacement from {t: 1, e: 5, p: 1, q: 2, s: 1}. Give prob of picking 3 e.\n' | b'1/12\n' | deepmind/math_dataset |
b'Suppose -4*n - 12 + 5 = 5*w, 0 = 3*w - 2*n - 9. Suppose -w + 46 = 5*t. Let u(i) = -i + 9. Let h be u(t). Solve -5*y = h, 2*j - 5*j + 15 = y for j.\n' | b'5\n' | b'Suppose -4*n - 12 + 5 = 5*w, 0 = 3*w - 2*n - 9. Suppose -w + 46 = 5*t. Let u(i) = -i + 9. Let h be u(t). Solve -5*y = h, 2*j - 5*j + 15 = y for j.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cchmk. Give prob of picking 1 h and 1 c.\n' | b'1/5\n' | b'Two letters picked without replacement from cchmk. Give prob of picking 1 h and 1 c.\n' | b'1/5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from egeekke. Give prob of picking 2 e.\n' | b'2/7\n' | b'Two letters picked without replacement from egeekke. Give prob of picking 2 e.\n' | b'2/7\n' | deepmind/math_dataset |
b'Suppose 0 = -30*r + 14*r + 640. Suppose 35*a = r*a. Solve 4*w + l + 4 = a, 1 = -w - l + 4*l for w.\n' | b'-1\n' | b'Suppose 0 = -30*r + 14*r + 640. Suppose 35*a = r*a. Solve 4*w + l + 4 = a, 1 = -w - l + 4*l for w.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nnninininnnnnnnnnn. Give prob of picking 2 i and 2 n.\n' | b'7/68\n' | b'Four letters picked without replacement from nnninininnnnnnnnnn. Give prob of picking 2 i and 2 n.\n' | b'7/68\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hhdhbbdb. What is prob of sequence ddb?\n' | b'1/56\n' | b'Three letters picked without replacement from hhdhbbdb. What is prob of sequence ddb?\n' | b'1/56\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 1, r: 1, l: 1}. What is prob of sequence rn?\n' | b'1/6\n' | b'Two letters picked without replacement from {n: 1, r: 1, l: 1}. What is prob of sequence rn?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let h(b) be the third derivative of 7*b**6/120 + 89*b**5/60 + 2839*b**3/2 - b**2 + 2*b. Differentiate h(w) with respect to w.\n' | b'21*w**2 + 178*w\n' | b'Let h(b) be the third derivative of 7*b**6/120 + 89*b**5/60 + 2839*b**3/2 - b**2 + 2*b. Differentiate h(w) with respect to w.\n' | b'21*w**2 + 178*w\n' | deepmind/math_dataset |
b'Let k(x) = -x**3 + x**2 - x - 1. Let t = 1257 + -1254. Give k(t).\n' | b'-22\n' | b'Let k(x) = -x**3 + x**2 - x - 1. Let t = 1257 + -1254. Give k(t).\n' | b'-22\n' | deepmind/math_dataset |
b'Simplify ((o*o*o**10)/o)/o*o**(4/3)*o/(o*o**9)*o*o**(-3) assuming o is positive.\n' | b'o**(1/3)\n' | b'Simplify ((o*o*o**10)/o)/o*o**(4/3)*o/(o*o**9)*o*o**(-3) assuming o is positive.\n' | b'o**(1/3)\n' | deepmind/math_dataset |
b'Simplify u**(-10)/u*u**(2/21)*((u/u**0)/u)**(4/27) assuming u is positive.\n' | b'u**(-229/21)\n' | b'Simplify u**(-10)/u*u**(2/21)*((u/u**0)/u)**(4/27) assuming u is positive.\n' | b'u**(-229/21)\n' | deepmind/math_dataset |
b'Let g(z) = -z**2 + 6*z - 6. Let q be g(4). Find the third derivative of 3 + 5*s**2 - 3 - 6*s**q - s**6 wrt s.\n' | b'-120*s**3\n' | b'Let g(z) = -z**2 + 6*z - 6. Let q be g(4). Find the third derivative of 3 + 5*s**2 - 3 - 6*s**q - s**6 wrt s.\n' | b'-120*s**3\n' | deepmind/math_dataset |
b'Let i(g) be the third derivative of 13*g**8/56 - 41*g**5/60 + 61*g**2. What is the third derivative of i(x) wrt x?\n' | b'4680*x**2\n' | b'Let i(g) be the third derivative of 13*g**8/56 - 41*g**5/60 + 61*g**2. What is the third derivative of i(x) wrt x?\n' | b'4680*x**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence lx when two letters picked without replacement from xlhhhllhxhlxxx.\n' | b'10/91\n' | b'Calculate prob of sequence lx when two letters picked without replacement from xlhhhllhxhlxxx.\n' | b'10/91\n' | deepmind/math_dataset |
b'Let f(p) = 3*p**3 - 2*p + 2. Suppose c + 2*o + 699 = 0, 34*c - 32*c - 2*o + 1368 = 0. Let a = c - -691. What is f(a)?\n' | b'22\n' | b'Let f(p) = 3*p**3 - 2*p + 2. Suppose c + 2*o + 699 = 0, 34*c - 32*c - 2*o + 1368 = 0. Let a = c - -691. What is f(a)?\n' | b'22\n' | deepmind/math_dataset |
b'Simplify l*l*l**(-6/5)*l*((l/(l**(-1)*l))/l)/l*l*l**(2/3)/(l/l**(1/12)) assuming l is positive.\n' | b'l**(31/20)\n' | b'Simplify l*l*l**(-6/5)*l*((l/(l**(-1)*l))/l)/l*l*l**(2/3)/(l/l**(1/12)) assuming l is positive.\n' | b'l**(31/20)\n' | deepmind/math_dataset |
b'Let p be 3*(10/6 - 1). Let o be (-32)/16 - (0 + -4). Solve -6 = -o*f + r - 1, 4 = 2*f - p*r for f.\n' | b'3\n' | b'Let p be 3*(10/6 - 1). Let o be (-32)/16 - (0 + -4). Solve -6 = -o*f + r - 1, 4 = 2*f - p*r for f.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify l/((l*(l/l**(8/5))/l*l)/l)*l*l**(16/5)*l assuming l is positive.\n' | b'l**(34/5)\n' | b'Simplify l/((l*(l/l**(8/5))/l*l)/l)*l*l**(16/5)*l assuming l is positive.\n' | b'l**(34/5)\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 2 r when three letters picked without replacement from oooorooro?\n' | b'1/12\n' | b'What is prob of picking 1 o and 2 r when three letters picked without replacement from oooorooro?\n' | b'1/12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kqwqiwwkwa. Give prob of picking 1 k and 1 a.\n' | b'2/45\n' | b'Two letters picked without replacement from kqwqiwwkwa. Give prob of picking 1 k and 1 a.\n' | b'2/45\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ovfovovv. Give prob of sequence ovvo.\n' | b'3/70\n' | b'Four letters picked without replacement from ovfovovv. Give prob of sequence ovvo.\n' | b'3/70\n' | deepmind/math_dataset |
b'Let y(d) = d**3 + 3*d**2 + d. Let s be y(-2). Suppose 24*p = 25*p - s. Solve -l = p*h, -h + 22 = 4*l - 4*h for l.\n' | b'4\n' | b'Let y(d) = d**3 + 3*d**2 + d. Let s be y(-2). Suppose 24*p = 25*p - s. Solve -l = p*h, -h + 22 = 4*l - 4*h for l.\n' | b'4\n' | deepmind/math_dataset |
b'Let q(n) = n + 3. Suppose 0 = 5*k - t - 24 - 1, 31 = 4*k - 3*t. Suppose 3*x - k*c - 13 = 4*x, -35 = -5*x + 5*c. Calculate q(x).\n' | b'6\n' | b'Let q(n) = n + 3. Suppose 0 = 5*k - t - 24 - 1, 31 = 4*k - 3*t. Suppose 3*x - k*c - 13 = 4*x, -35 = -5*x + 5*c. Calculate q(x).\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m, 1 v, and 1 q when three letters picked without replacement from {o: 2, q: 2, x: 1, m: 1, v: 2}.\n' | b'1/14\n' | b'Calculate prob of picking 1 m, 1 v, and 1 q when three letters picked without replacement from {o: 2, q: 2, x: 1, m: 1, v: 2}.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let m(v) = 25*v**2 + 521*v - 521. Let b be m(1). Solve 2*d = -u + 39 - b, 3*d - 11 = u for d.\n' | b'5\n' | b'Let m(v) = 25*v**2 + 521*v - 521. Let b be m(1). Solve 2*d = -u + 39 - b, 3*d - 11 = u for d.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 0 = 5*o + 2*h - 38, h - 34 = -4*o - 3. Let g = 13 - o. Let f be (-8)/1*(-11)/44. Solve -f*x + 5*r + 5 = 3*x, -g*r - 15 = 5*x for x.\n' | b'-1\n' | b'Suppose 0 = 5*o + 2*h - 38, h - 34 = -4*o - 3. Let g = 13 - o. Let f be (-8)/1*(-11)/44. Solve -f*x + 5*r + 5 = 3*x, -g*r - 15 = 5*x for x.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence he when two letters picked without replacement from {h: 4, w: 1, s: 1, e: 2, x: 3}.\n' | b'4/55\n' | b'Calculate prob of sequence he when two letters picked without replacement from {h: 4, w: 1, s: 1, e: 2, x: 3}.\n' | b'4/55\n' | deepmind/math_dataset |
b'What is prob of sequence rrc when three letters picked without replacement from {r: 7, c: 1, s: 1}?\n' | b'1/12\n' | b'What is prob of sequence rrc when three letters picked without replacement from {r: 7, c: 1, s: 1}?\n' | b'1/12\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.