question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Let f(b) = 7*b**3 - b**2. Suppose -6*u + 2 = -4. Let y be f(u). Let k(l) = l**2 - 9*l + 9. Calculate k(y).\n' | b'-9\n' | b'Let f(b) = 7*b**3 - b**2. Suppose -6*u + 2 = -4. Let y be f(u). Let k(l) = l**2 - 9*l + 9. Calculate k(y).\n' | b'-9\n' | deepmind/math_dataset |
b'What is the derivative of 3740*o**3 - 256 + 1645 + o - o + 2711 wrt o?\n' | b'11220*o**2\n' | b'What is the derivative of 3740*o**3 - 256 + 1645 + o - o + 2711 wrt o?\n' | b'11220*o**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hhssssshhssssssh. What is prob of picking 3 h and 1 s?\n' | b'11/182\n' | b'Four letters picked without replacement from hhssssshhssssssh. What is prob of picking 3 h and 1 s?\n' | b'11/182\n' | deepmind/math_dataset |
b'What is prob of sequence sjd when three letters picked without replacement from srssrswrdwjss?\n' | b'1/286\n' | b'What is prob of sequence sjd when three letters picked without replacement from srssrswrdwjss?\n' | b'1/286\n' | deepmind/math_dataset |
b'Let b(j) = -j**2 + 8*j - 4. Let y be b(4). Suppose 0 = y*d - 11*d - 2. Solve 1 + 1 = -u - 2*v, -5*u = -d*v - 2 for u.\n' | b'0\n' | b'Let b(j) = -j**2 + 8*j - 4. Let y be b(4). Suppose 0 = y*d - 11*d - 2. Solve 1 + 1 = -u - 2*v, -5*u = -d*v - 2 for u.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence cc when two letters picked without replacement from cumamlgcu.\n' | b'1/36\n' | b'Calculate prob of sequence cc when two letters picked without replacement from cumamlgcu.\n' | b'1/36\n' | deepmind/math_dataset |
b'Suppose 4*b = -2*u, -5*u + 58*b + 26 = 55*b. Solve 7*h - u*h = -4*j - 6, 5*j + 4*h + 8 = 0 for j.\n' | b'0\n' | b'Suppose 4*b = -2*u, -5*u + 58*b + 26 = 55*b. Solve 7*h - u*h = -4*j - 6, 5*j + 4*h + 8 = 0 for j.\n' | b'0\n' | deepmind/math_dataset |
b'Let o(s) = s**3 + 5*s**2 + 3*s - 1. Suppose 2*w + 0*w = -4*n + 18, 0 = -2*n + 3*w - 3. Suppose -5*h - 18 = -n. Calculate o(h).\n' | b'8\n' | b'Let o(s) = s**3 + 5*s**2 + 3*s - 1. Suppose 2*w + 0*w = -4*n + 18, 0 = -2*n + 3*w - 3. Suppose -5*h - 18 = -n. Calculate o(h).\n' | b'8\n' | deepmind/math_dataset |
b'Let x = 316 + -312. Solve x*u = p + 5, -3*p - 3*u + u = -13 for p.\n' | b'3\n' | b'Let x = 316 + -312. Solve x*u = p + 5, -3*p - 3*u + u = -13 for p.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 0 = 4*m + 16, 1 - 9 = -4*c - m. Let n(a) = 46687 - 46687 + 5*a. Determine n(c).\n' | b'15\n' | b'Suppose 0 = 4*m + 16, 1 - 9 = -4*c - m. Let n(a) = 46687 - 46687 + 5*a. Determine n(c).\n' | b'15\n' | deepmind/math_dataset |
b'Simplify (n*n*n**(1/3)*n*n)**(5/9)*(n**1/n)**47*((n/n**(-2/7))/n)**33*(n/n**(-1/13)*n*n)/n*(n/(n/(((n**5*n)/n)/n)*n*n))/n assuming n is positive.\n' | b'n**(36641/2457)\n' | b'Simplify (n*n*n**(1/3)*n*n)**(5/9)*(n**1/n)**47*((n/n**(-2/7))/n)**33*(n/n**(-1/13)*n*n)/n*(n/(n/(((n**5*n)/n)/n)*n*n))/n assuming n is positive.\n' | b'n**(36641/2457)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 2, s: 1}. What is prob of picking 1 q and 1 s?\n' | b'2/3\n' | b'Two letters picked without replacement from {q: 2, s: 1}. What is prob of picking 1 q and 1 s?\n' | b'2/3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 9, g: 10}. What is prob of picking 4 v?\n' | b'21/646\n' | b'Four letters picked without replacement from {v: 9, g: 10}. What is prob of picking 4 v?\n' | b'21/646\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 1, r: 5, a: 1, j: 2, v: 2, l: 5}. Give prob of sequence jrbj.\n' | b'1/4368\n' | b'Four letters picked without replacement from {b: 1, r: 5, a: 1, j: 2, v: 2, l: 5}. Give prob of sequence jrbj.\n' | b'1/4368\n' | deepmind/math_dataset |
b'Simplify (t/(t/(t*t**(-2/3)*t*t)))**4*(t/(t*t**0))**(-1/7) assuming t is positive.\n' | b't**(28/3)\n' | b'Simplify (t/(t/(t*t**(-2/3)*t*t)))**4*(t/(t*t**0))**(-1/7) assuming t is positive.\n' | b't**(28/3)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 4, n: 2, q: 4, u: 1, m: 2, h: 1}. What is prob of sequence nmnm?\n' | b'1/6006\n' | b'Four letters picked without replacement from {f: 4, n: 2, q: 4, u: 1, m: 2, h: 1}. What is prob of sequence nmnm?\n' | b'1/6006\n' | deepmind/math_dataset |
b'Suppose 0 = 4*c - p - 11, 2*c + 2*p = 3*p + 5. Find the first derivative of -25*g**c - 1 - g**4 + 25*g**3 wrt g.\n' | b'-4*g**3\n' | b'Suppose 0 = 4*c - p - 11, 2*c + 2*p = 3*p + 5. Find the first derivative of -25*g**c - 1 - g**4 + 25*g**3 wrt g.\n' | b'-4*g**3\n' | deepmind/math_dataset |
b'Let w be (-2)/5 + (-84)/(-35). Differentiate 1 + 4 - 10*h**w - 1 + h**2 wrt h.\n' | b'-18*h\n' | b'Let w be (-2)/5 + (-84)/(-35). Differentiate 1 + 4 - 10*h**w - 1 + h**2 wrt h.\n' | b'-18*h\n' | deepmind/math_dataset |
b'Simplify ((((((f/(((f**(15/2)*f)/f)/f))/f)/f)/f)/(f/f**(20/9)))/((f/f**10*f)/f)**11)**5 assuming f is positive.\n' | b'f**(8255/18)\n' | b'Simplify ((((((f/(((f**(15/2)*f)/f)/f))/f)/f)/f)/(f/f**(20/9)))/((f/f**10*f)/f)**11)**5 assuming f is positive.\n' | b'f**(8255/18)\n' | deepmind/math_dataset |
b'Suppose -24 - 1 = -5*d. Suppose -d*w + 6 = -4. What is the second derivative of -2*v**4 - w*v + 2*v**4 - 2*v**5 wrt v?\n' | b'-40*v**3\n' | b'Suppose -24 - 1 = -5*d. Suppose -d*w + 6 = -4. What is the second derivative of -2*v**4 - w*v + 2*v**4 - 2*v**5 wrt v?\n' | b'-40*v**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from sissisxvix. Give prob of sequence ivss.\n' | b'1/140\n' | b'Four letters picked without replacement from sissisxvix. Give prob of sequence ivss.\n' | b'1/140\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 10, y: 2, q: 4}. What is prob of picking 1 q and 1 y?\n' | b'1/15\n' | b'Two letters picked without replacement from {n: 10, y: 2, q: 4}. What is prob of picking 1 q and 1 y?\n' | b'1/15\n' | deepmind/math_dataset |
b'Suppose -7*h - 2 + 23 = 0. Let b be ((-1)/(-1))/(8/16). Suppose -b*u - 13 = -19. Solve 0 = -l + u*l + 3*q - 5, -h*q = -2*l - 13 for l.\n' | b'-2\n' | b'Suppose -7*h - 2 + 23 = 0. Let b be ((-1)/(-1))/(8/16). Suppose -b*u - 13 = -19. Solve 0 = -l + u*l + 3*q - 5, -h*q = -2*l - 13 for l.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence gg when two letters picked without replacement from mbgmggmgmm?\n' | b'2/15\n' | b'What is prob of sequence gg when two letters picked without replacement from mbgmggmgmm?\n' | b'2/15\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 3 w when four letters picked without replacement from {w: 5, u: 1, v: 1, q: 3}.\n' | b'1/21\n' | b'Calculate prob of picking 1 v and 3 w when four letters picked without replacement from {w: 5, u: 1, v: 1, q: 3}.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let x(u) = -u**2 - 5526 + 5521 + 2*u**2 + 4*u. What is x(-5)?\n' | b'0\n' | b'Let x(u) = -u**2 - 5526 + 5521 + 2*u**2 + 4*u. What is x(-5)?\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from axdaxvdxdax. What is prob of picking 3 x and 1 v?\n' | b'2/165\n' | b'Four letters picked without replacement from axdaxvdxdax. What is prob of picking 3 x and 1 v?\n' | b'2/165\n' | deepmind/math_dataset |
b'Simplify (((i/i**(2/11))/i)**(-48))**11*(i**(2/7)*i*i)**(2/87)*(i/i**(-5))/i**8 assuming i is positive.\n' | b'i**(57278/609)\n' | b'Simplify (((i/i**(2/11))/i)**(-48))**11*(i**(2/7)*i*i)**(2/87)*(i/i**(-5))/i**8 assuming i is positive.\n' | b'i**(57278/609)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 1, d: 2, o: 7, u: 7, q: 2}. What is prob of sequence oqd?\n' | b'14/2907\n' | b'Three letters picked without replacement from {w: 1, d: 2, o: 7, u: 7, q: 2}. What is prob of sequence oqd?\n' | b'14/2907\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 6}. Give prob of picking 3 a.\n' | b'1\n' | b'Three letters picked without replacement from {a: 6}. Give prob of picking 3 a.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k, 1 w, and 1 q when three letters picked without replacement from {q: 1, c: 4, k: 4, d: 1, w: 9}.\n' | b'12/323\n' | b'Calculate prob of picking 1 k, 1 w, and 1 q when three letters picked without replacement from {q: 1, c: 4, k: 4, d: 1, w: 9}.\n' | b'12/323\n' | deepmind/math_dataset |
b'Let o(h) = -5*h + 21. Let b be o(3). Let j be (2 - b)/(-1*2). Let d(m) = -2*m**3 + 5*m**3 + 1 + 5*m - 2*m**2 - 2*m**3 - 8*m. Determine d(j).\n' | b'-5\n' | b'Let o(h) = -5*h + 21. Let b be o(3). Let j be (2 - b)/(-1*2). Let d(m) = -2*m**3 + 5*m**3 + 1 + 5*m - 2*m**2 - 2*m**3 - 8*m. Determine d(j).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (u**(-18))**(-1/53)/((u/(u/(u/(u/(u*u*u/((u*u**(-4/3))/u)*u*u*u)))))/(u/(u*u**31*u))) assuming u is positive.\n' | b'u**(-6200/159)\n' | b'Simplify (u**(-18))**(-1/53)/((u/(u/(u/(u/(u*u*u/((u*u**(-4/3))/u)*u*u*u)))))/(u/(u*u**31*u))) assuming u is positive.\n' | b'u**(-6200/159)\n' | deepmind/math_dataset |
b'Simplify p**(-25)*p/(p/p**(-3/2)*p) assuming p is positive.\n' | b'p**(-55/2)\n' | b'Simplify p**(-25)*p/(p/p**(-3/2)*p) assuming p is positive.\n' | b'p**(-55/2)\n' | deepmind/math_dataset |
b'Let l(d) = d**3 + 7*d**2 + 6*d + 3. Let v be l(-6). Suppose -2*f = -3*z + 4, 0*f = v*z + 5*f - 11. Let m(y) = -6*y + 6*y - y. What is m(z)?\n' | b'-2\n' | b'Let l(d) = d**3 + 7*d**2 + 6*d + 3. Let v be l(-6). Suppose -2*f = -3*z + 4, 0*f = v*z + 5*f - 11. Let m(y) = -6*y + 6*y - y. What is m(z)?\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (((a/a**(-21))/a)/(a*a*a*(a/(a/a**(11/6)))/a))/(a**(-8)/a*a/(a*a/a**(-22)*a*a)) assuming a is positive.\n' | b'a**(307/6)\n' | b'Simplify (((a/a**(-21))/a)/(a*a*a*(a/(a/a**(11/6)))/a))/(a**(-8)/a*a/(a*a/a**(-22)*a*a)) assuming a is positive.\n' | b'a**(307/6)\n' | deepmind/math_dataset |
b'Let y(k) = -23*k - 1. Let h be y(7). Let z be (-2)/10 - h/10*1. Solve -4*q = -z, 3*f - 7*f + 2*q - 24 = 0 for f.\n' | b'-4\n' | b'Let y(k) = -23*k - 1. Let h be y(7). Let z be (-2)/10 - h/10*1. Solve -4*q = -z, 3*f - 7*f + 2*q - 24 = 0 for f.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -350*g + 66 = -339*g. Solve 0 = 3*p + g*z - 3*z + 30, -45 = 4*p + 5*z for p.\n' | b'-5\n' | b'Suppose -350*g + 66 = -339*g. Solve 0 = 3*p + g*z - 3*z + 30, -45 = 4*p + 5*z for p.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence bbbb when four letters picked without replacement from bnnnnnbbnnbnnn?\n' | b'1/1001\n' | b'What is prob of sequence bbbb when four letters picked without replacement from bnnnnnbbnnbnnn?\n' | b'1/1001\n' | deepmind/math_dataset |
b'Let h = 10 + -8. Suppose -5*k - 4 = -h*j, 0*k - 16 = -3*j + 5*k. Suppose 0*v - j = 3*v. Let c(b) = b**3 + 3*b**2 - 4*b + 3. What is c(v)?\n' | b'3\n' | b'Let h = 10 + -8. Suppose -5*k - 4 = -h*j, 0*k - 16 = -3*j + 5*k. Suppose 0*v - j = 3*v. Let c(b) = b**3 + 3*b**2 - 4*b + 3. What is c(v)?\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 711 - 176 = 5*f. Let n(a) = a + f - 210 + 105. What is n(-10)?\n' | b'-8\n' | b'Suppose 711 - 176 = 5*f. Let n(a) = a + f - 210 + 105. What is n(-10)?\n' | b'-8\n' | deepmind/math_dataset |
b'Calculate prob of sequence xo when two letters picked without replacement from ioooioxixioooo.\n' | b'8/91\n' | b'Calculate prob of sequence xo when two letters picked without replacement from ioooioxixioooo.\n' | b'8/91\n' | deepmind/math_dataset |
b'Simplify o**(-17)*o*o*o**(-17) assuming o is positive.\n' | b'o**(-32)\n' | b'Simplify o**(-17)*o*o*o**(-17) assuming o is positive.\n' | b'o**(-32)\n' | deepmind/math_dataset |
b'Simplify ((c*c*(c/c**2)/c*c*c*(c**(-3/8)*c)/c)/(c**(2/15)*c*c*c**(-2)/c))/(c**1/(c**(-2/31)/c))**(1/5) assuming c is positive.\n' | b'c**(7733/3720)\n' | b'Simplify ((c*c*(c/c**2)/c*c*c*(c**(-3/8)*c)/c)/(c**(2/15)*c*c*c**(-2)/c))/(c**1/(c**(-2/31)/c))**(1/5) assuming c is positive.\n' | b'c**(7733/3720)\n' | deepmind/math_dataset |
b'What is the second derivative of -15 + 15 - 1205*x**2 - 177*x - 521*x**2 + 424*x**2 wrt x?\n' | b'-2604\n' | b'What is the second derivative of -15 + 15 - 1205*x**2 - 177*x - 521*x**2 + 424*x**2 wrt x?\n' | b'-2604\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 2, y: 5}. Give prob of sequence zzy.\n' | b'1/21\n' | b'Three letters picked without replacement from {z: 2, y: 5}. Give prob of sequence zzy.\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify ((i**0)**(2/97)/(((i*(i*i*i/i**0)/i*i)/i)/i)**(-3/5))**(-3/28) assuming i is positive.\n' | b'i**(-9/70)\n' | b'Simplify ((i**0)**(2/97)/(((i*(i*i*i/i**0)/i*i)/i)/i)**(-3/5))**(-3/28) assuming i is positive.\n' | b'i**(-9/70)\n' | deepmind/math_dataset |
b'Let v(f) = -f**2 - 5*f - 3. Let t(m) = 9 - 6*m**2 - 2*m - 5*m**3 + m**3 + 3*m**3. Let w be t(-5). Determine v(w).\n' | b'-9\n' | b'Let v(f) = -f**2 - 5*f - 3. Let t(m) = 9 - 6*m**2 - 2*m - 5*m**3 + m**3 + 3*m**3. Let w be t(-5). Determine v(w).\n' | b'-9\n' | deepmind/math_dataset |
b'What is the second derivative of -117*y**4 - 12*y**5 + 117*y**4 - 12*y wrt y?\n' | b'-240*y**3\n' | b'What is the second derivative of -117*y**4 - 12*y**5 + 117*y**4 - 12*y wrt y?\n' | b'-240*y**3\n' | deepmind/math_dataset |
b'Let n be ((-3)/2)/1*-2. Suppose 2*m + 7 = -n*o, -3*o = -8*o - 5*m - 5. Let y(b) = b + 3*b + b - 7*b - 3. What is y(o)?\n' | b'7\n' | b'Let n be ((-3)/2)/1*-2. Suppose 2*m + 7 = -n*o, -3*o = -8*o - 5*m - 5. Let y(b) = b + 3*b + b - 7*b - 3. What is y(o)?\n' | b'7\n' | deepmind/math_dataset |
b'Simplify ((c/c**(-6))/(c*(c/(c*(c*(c*c**(-3/8)*c)/c*c*c)/c))/c))**(-1/22) assuming c is positive.\n' | b'c**(-7/16)\n' | b'Simplify ((c/c**(-6))/(c*(c/(c*(c*(c*c**(-3/8)*c)/c*c*c)/c))/c))**(-1/22) assuming c is positive.\n' | b'c**(-7/16)\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 r when four letters picked without replacement from {j: 10, r: 10}.\n' | b'14/323\n' | b'Calculate prob of picking 4 r when four letters picked without replacement from {j: 10, r: 10}.\n' | b'14/323\n' | deepmind/math_dataset |
b'What is prob of sequence mi when two letters picked without replacement from qmqoi?\n' | b'1/20\n' | b'What is prob of sequence mi when two letters picked without replacement from qmqoi?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let p(m) = -m - 6*m**2 - 1033 - 1035 + 3103 + m**3 - 1036. Let h = -14 + 20. Give p(h).\n' | b'-7\n' | b'Let p(m) = -m - 6*m**2 - 1033 - 1035 + 3103 + m**3 - 1036. Let h = -14 + 20. Give p(h).\n' | b'-7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 1, s: 3, r: 1, c: 1, m: 1, x: 5}. Give prob of sequence ssc.\n' | b'1/220\n' | b'Three letters picked without replacement from {o: 1, s: 3, r: 1, c: 1, m: 1, x: 5}. Give prob of sequence ssc.\n' | b'1/220\n' | deepmind/math_dataset |
b'Let a(z) = 4*z + 2. Let l be a(2). Let t be (6/l)/((-3)/(-15)). What is the first derivative of 2 - 3*n**3 + 2*n**4 + t*n**3 + 0*n**4 wrt n?\n' | b'8*n**3\n' | b'Let a(z) = 4*z + 2. Let l be a(2). Let t be (6/l)/((-3)/(-15)). What is the first derivative of 2 - 3*n**3 + 2*n**4 + t*n**3 + 0*n**4 wrt n?\n' | b'8*n**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence ww when two letters picked without replacement from {w: 3, d: 1}.\n' | b'1/2\n' | b'Calculate prob of sequence ww when two letters picked without replacement from {w: 3, d: 1}.\n' | b'1/2\n' | deepmind/math_dataset |
b'Let p(f) be the first derivative of -f**4/4 - 2*f**3/3 + 5*f**2/2 + 2*f - 59. Give p(-3).\n' | b'-4\n' | b'Let p(f) be the first derivative of -f**4/4 - 2*f**3/3 + 5*f**2/2 + 2*f - 59. Give p(-3).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 1, p: 2, l: 1, y: 2, s: 2}. What is prob of picking 2 y?\n' | b'1/28\n' | b'Two letters picked without replacement from {x: 1, p: 2, l: 1, y: 2, s: 2}. What is prob of picking 2 y?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let h = 2439 - 2418. Solve -67*i - 3 = -2*f - 68*i, 5*i = -4*f + h for f.\n' | b'-1\n' | b'Let h = 2439 - 2418. Solve -67*i - 3 = -2*f - 68*i, 5*i = -4*f + h for f.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence jr when two letters picked without replacement from urtufuutrjttuf?\n' | b'1/91\n' | b'What is prob of sequence jr when two letters picked without replacement from urtufuutrjttuf?\n' | b'1/91\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pzpzzpp. Give prob of sequence pzz.\n' | b'4/35\n' | b'Three letters picked without replacement from pzpzzpp. Give prob of sequence pzz.\n' | b'4/35\n' | deepmind/math_dataset |
b'Let k(q) = 2*q - 6. Let p be k(5). Suppose 5*y = 6 + p. Find the third derivative of y*g**3 - g**2 + 6*g - 6*g wrt g.\n' | b'12\n' | b'Let k(q) = 2*q - 6. Let p be k(5). Suppose 5*y = 6 + p. Find the third derivative of y*g**3 - g**2 + 6*g - 6*g wrt g.\n' | b'12\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 2, f: 4}. What is prob of sequence afa?\n' | b'1/15\n' | b'Three letters picked without replacement from {a: 2, f: 4}. What is prob of sequence afa?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let a(n) = -287*n + 47. Suppose -8*c - c = 99. Let l(v) = -96*v + 16. Let r(b) = c*l(b) + 4*a(b). What is the derivative of r(i) wrt i?\n' | b'-92\n' | b'Let a(n) = -287*n + 47. Suppose -8*c - c = 99. Let l(v) = -96*v + 16. Let r(b) = c*l(b) + 4*a(b). What is the derivative of r(i) wrt i?\n' | b'-92\n' | deepmind/math_dataset |
b'Let f(d) be the first derivative of 8*d**4 + 0*d - 34 + 11/3*d**3 + 0*d**2. What is the third derivative of f(i) wrt i?\n' | b'192\n' | b'Let f(d) be the first derivative of 8*d**4 + 0*d - 34 + 11/3*d**3 + 0*d**2. What is the third derivative of f(i) wrt i?\n' | b'192\n' | deepmind/math_dataset |
b'Let l(i) = 35*i**2. Suppose 0 = 8*c + 163 + 29. Let p be 21/c + (2 + -5)/24. Give l(p).\n' | b'35\n' | b'Let l(i) = 35*i**2. Suppose 0 = 8*c + 163 + 29. Let p be 21/c + (2 + -5)/24. Give l(p).\n' | b'35\n' | deepmind/math_dataset |
b'Let v(p) = p**3 - p**2 - p - 2. Let i(z) = -7*z**3 + 7*z**2 + 8*z + 12. Let c(b) = i(b) + 5*v(b). Give c(-2).\n' | b'20\n' | b'Let v(p) = p**3 - p**2 - p - 2. Let i(z) = -7*z**3 + 7*z**2 + 8*z + 12. Let c(b) = i(b) + 5*v(b). Give c(-2).\n' | b'20\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 2, p: 4, j: 1, n: 2, i: 1}. Give prob of picking 1 j and 1 i.\n' | b'1/45\n' | b'Two letters picked without replacement from {w: 2, p: 4, j: 1, n: 2, i: 1}. Give prob of picking 1 j and 1 i.\n' | b'1/45\n' | deepmind/math_dataset |
b'Let v(a) = -a**2 + 35*a - 33. Let t be v(34). Solve 5*f = -b + 13, -7 = 2*f - 4*b + t for f.\n' | b'2\n' | b'Let v(a) = -a**2 + 35*a - 33. Let t be v(34). Solve 5*f = -b + 13, -7 = 2*f - 4*b + t for f.\n' | b'2\n' | deepmind/math_dataset |
b'Let o(k) be the second derivative of 0*k**3 + 0 + 0*k**2 + 6*k - 1/2*k**4 + 3/20*k**5. Find the third derivative of o(v) wrt v.\n' | b'18\n' | b'Let o(k) be the second derivative of 0*k**3 + 0 + 0*k**2 + 6*k - 1/2*k**4 + 3/20*k**5. Find the third derivative of o(v) wrt v.\n' | b'18\n' | deepmind/math_dataset |
b'Let f be 12/54 + (-32)/(-18). Let z be ((-64)/48)/(f/(-6)). Find the second derivative of 2*y - 5*y**4 - y - 4*y**z + y**4 wrt y.\n' | b'-96*y**2\n' | b'Let f be 12/54 + (-32)/(-18). Let z be ((-64)/48)/(f/(-6)). Find the second derivative of 2*y - 5*y**4 - y - 4*y**z + y**4 wrt y.\n' | b'-96*y**2\n' | deepmind/math_dataset |
b'Let s be -1 - (0 + -3) - -3. Suppose b + 4*b = -3*l + 18, -s*l + 4 = 4*b. Suppose -b = -x - 3. Solve -2*g - x*g = 5*i, -g + i = -4 for g.\n' | b'2\n' | b'Let s be -1 - (0 + -3) - -3. Suppose b + 4*b = -3*l + 18, -s*l + 4 = 4*b. Suppose -b = -x - 3. Solve -2*g - x*g = 5*i, -g + i = -4 for g.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 6, a: 1, p: 4}. What is prob of picking 2 p and 1 h?\n' | b'12/55\n' | b'Three letters picked without replacement from {h: 6, a: 1, p: 4}. What is prob of picking 2 p and 1 h?\n' | b'12/55\n' | deepmind/math_dataset |
b'Suppose 11 + 14 = 5*u. Let r = -25 + 22. Let x = u + r. Solve 3*b + 8 = -b + 4*v, -3*v + 1 = -x*b for b.\n' | b'-5\n' | b'Suppose 11 + 14 = 5*u. Let r = -25 + 22. Let x = u + r. Solve 3*b + 8 = -b + 4*v, -3*v + 1 = -x*b for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Let l(u) be the first derivative of 11*u**2 - u**2 + 28*u + 2 + 5*u**2. What is the first derivative of l(t) wrt t?\n' | b'30\n' | b'Let l(u) be the first derivative of 11*u**2 - u**2 + 28*u + 2 + 5*u**2. What is the first derivative of l(t) wrt t?\n' | b'30\n' | deepmind/math_dataset |
b'Simplify ((j**2/j*j)/j*j*j/(j*j*j*j*j*j**(-16)*j))**(1/7) assuming j is positive.\n' | b'j**(13/7)\n' | b'Simplify ((j**2/j*j)/j*j*j/(j*j*j*j*j*j**(-16)*j))**(1/7) assuming j is positive.\n' | b'j**(13/7)\n' | deepmind/math_dataset |
b'Simplify (a*a*a**(-9)*a*a*a*a/(a*a*a**(3/4)/a*a*a))**(2/33) assuming a is positive.\n' | b'a**(-9/22)\n' | b'Simplify (a*a*a**(-9)*a*a*a*a/(a*a*a**(3/4)/a*a*a))**(2/33) assuming a is positive.\n' | b'a**(-9/22)\n' | deepmind/math_dataset |
b'Simplify (r**1/r**(-5))/(r**2*(r*r*r**(-1/6))/r) assuming r is positive.\n' | b'r**(19/6)\n' | b'Simplify (r**1/r**(-5))/(r**2*(r*r*r**(-1/6))/r) assuming r is positive.\n' | b'r**(19/6)\n' | deepmind/math_dataset |
b'What is the third derivative of -7*p**3 + 8*p**2 - 15*p**5 - 31*p**2 + 7*p**3 wrt p?\n' | b'-900*p**2\n' | b'What is the third derivative of -7*p**3 + 8*p**2 - 15*p**5 - 31*p**2 + 7*p**3 wrt p?\n' | b'-900*p**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hhphnthnpppthnp. Give prob of picking 3 p.\n' | b'2/91\n' | b'Three letters picked without replacement from hhphnthnpppthnp. Give prob of picking 3 p.\n' | b'2/91\n' | deepmind/math_dataset |
b'Let s = 21 + -34. Let r(d) = -19*d**2 + 20 + 9 + 405*d - 416*d + 18*d**2. Let y be r(s). Solve 6 = -2*f, -y*q + 3*f = -q - 17 for q.\n' | b'4\n' | b'Let s = 21 + -34. Let r(d) = -19*d**2 + 20 + 9 + 405*d - 416*d + 18*d**2. Let y be r(s). Solve 6 = -2*f, -y*q + 3*f = -q - 17 for q.\n' | b'4\n' | deepmind/math_dataset |
b'Let j(a) be the first derivative of a**7/35 + a**4/4 + 3*a**2 + 3. Let v(p) be the second derivative of j(p). What is the second derivative of v(k) wrt k?\n' | b'72*k**2\n' | b'Let j(a) be the first derivative of a**7/35 + a**4/4 + 3*a**2 + 3. Let v(p) be the second derivative of j(p). What is the second derivative of v(k) wrt k?\n' | b'72*k**2\n' | deepmind/math_dataset |
b'Let k(b) be the second derivative of 9*b**5/10 + 3*b**4/4 - 26*b. Find the third derivative of k(z) wrt z.\n' | b'108\n' | b'Let k(b) be the second derivative of 9*b**5/10 + 3*b**4/4 - 26*b. Find the third derivative of k(z) wrt z.\n' | b'108\n' | deepmind/math_dataset |
b'Simplify ((b/(b*(b*b*b/b**6)/b)*b)/b*b**4*(b/b**(-4/5))/b*b**2)/(b**(2/3)*b/b**6)**(-1/37) assuming b is positive.\n' | b'b**(5929/555)\n' | b'Simplify ((b/(b*(b*b*b/b**6)/b)*b)/b*b**4*(b/b**(-4/5))/b*b**2)/(b**(2/3)*b/b**6)**(-1/37) assuming b is positive.\n' | b'b**(5929/555)\n' | deepmind/math_dataset |
b'Let q = -158 + 168. Solve p = u - q, 0 = u + 4*p - 3*p for u.\n' | b'5\n' | b'Let q = -158 + 168. Solve p = u - q, 0 = u + 4*p - 3*p for u.\n' | b'5\n' | deepmind/math_dataset |
b'Let i be (-36)/(-63) - (-6)/14. Let w be 7 - 4 - (i + -2). Let s(f) = -w*f**2 + 0*f**3 + 3 - f**3 + 0 - 4 - 3*f. Calculate s(-3).\n' | b'-1\n' | b'Let i be (-36)/(-63) - (-6)/14. Let w be 7 - 4 - (i + -2). Let s(f) = -w*f**2 + 0*f**3 + 3 - f**3 + 0 - 4 - 3*f. Calculate s(-3).\n' | b'-1\n' | deepmind/math_dataset |
b'Let y(h) = 3*h + 8. Let t = -3427 + 3421. Give y(t).\n' | b'-10\n' | b'Let y(h) = 3*h + 8. Let t = -3427 + 3421. Give y(t).\n' | b'-10\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j, 1 p, and 2 d when four letters picked without replacement from jpjdj.\n' | b'0\n' | b'Calculate prob of picking 1 j, 1 p, and 2 d when four letters picked without replacement from jpjdj.\n' | b'0\n' | deepmind/math_dataset |
b'Let z(h) = -h**2 + 3*h + 1. Let i be 0/(30/(-10)) - 2. Determine z(i).\n' | b'-9\n' | b'Let z(h) = -h**2 + 3*h + 1. Let i be 0/(30/(-10)) - 2. Determine z(i).\n' | b'-9\n' | deepmind/math_dataset |
b'What is prob of sequence ykh when three letters picked without replacement from {k: 2, n: 6, h: 1, q: 1, f: 5, y: 1}?\n' | b'1/1680\n' | b'What is prob of sequence ykh when three letters picked without replacement from {k: 2, n: 6, h: 1, q: 1, f: 5, y: 1}?\n' | b'1/1680\n' | deepmind/math_dataset |
b'Suppose -5*m + b - 523 = 185, b = 2*m + 285. Let g = -140 - m. Let j(r) = r. Determine j(g).\n' | b'1\n' | b'Suppose -5*m + b - 523 = 185, b = 2*m + 285. Let g = -140 - m. Let j(r) = r. Determine j(g).\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 5, t: 5, o: 3}. Give prob of sequence jtt.\n' | b'25/429\n' | b'Three letters picked without replacement from {j: 5, t: 5, o: 3}. Give prob of sequence jtt.\n' | b'25/429\n' | deepmind/math_dataset |
b'What is prob of sequence ebe when three letters picked without replacement from eyyyyeyebryeqeq?\n' | b'2/273\n' | b'What is prob of sequence ebe when three letters picked without replacement from eyyyyeyebryeqeq?\n' | b'2/273\n' | deepmind/math_dataset |
b'Calculate prob of sequence wvv when three letters picked without replacement from vvbwvet.\n' | b'1/35\n' | b'Calculate prob of sequence wvv when three letters picked without replacement from vvbwvet.\n' | b'1/35\n' | deepmind/math_dataset |
b'Simplify (y*y/(y*y**(-17)*y)*y/y**(-17))/(y**(-4/7)/y**(3/16)) assuming y is positive.\n' | b'y**(4005/112)\n' | b'Simplify (y*y/(y*y**(-17)*y)*y/y**(-17))/(y**(-4/7)/y**(3/16)) assuming y is positive.\n' | b'y**(4005/112)\n' | deepmind/math_dataset |
b'Suppose -b = -5*s + s - 8, 0 = 5*b + 4*s - 16. Find the second derivative of 10*h + 0*h**2 + 9*h**b + 0*h**2 wrt h.\n' | b'108*h**2\n' | b'Suppose -b = -5*s + s - 8, 0 = 5*b + 4*s - 16. Find the second derivative of 10*h + 0*h**2 + 9*h**b + 0*h**2 wrt h.\n' | b'108*h**2\n' | deepmind/math_dataset |
b'Let x(f) = 6*f**2 + 2*f + 1. Let v be x(-1). Let l be 1 - (1 - (3 - 2)). Solve v*y - 4*m - l = 2, 4*m = 12 for y.\n' | b'3\n' | b'Let x(f) = 6*f**2 + 2*f + 1. Let v be x(-1). Let l be 1 - (1 - (3 - 2)). Solve v*y - 4*m - l = 2, 4*m = 12 for y.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yoooeoloyoooloye. Give prob of picking 1 e and 1 y.\n' | b'1/20\n' | b'Two letters picked without replacement from yoooeoloyoooloye. Give prob of picking 1 e and 1 y.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let k = -102 + 107. Let o = 9 - k. What is the second derivative of 13*h + 3*h**4 - 2*h**o + 22*h + 6*h wrt h?\n' | b'12*h**2\n' | b'Let k = -102 + 107. Let o = 9 - k. What is the second derivative of 13*h + 3*h**4 - 2*h**o + 22*h + 6*h wrt h?\n' | b'12*h**2\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.