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'Suppose 5*n - q + 11 = 12, -3*q = -4*n - 8. Solve -4 = d - x - 0, 0 = -x - n for d.\n' | b'-5\n' | b'Suppose 5*n - q + 11 = 12, -3*q = -4*n - 8. Solve -4 = d - x - 0, 0 = -x - n for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Let d(n) = n + 8. Let o be d(-7). Suppose 0 = -5*j - 4 + 14, 0 = 4*y + 4*j - 20. Let w(i) = -i**2 + 4 - i**3 + 2*i**y - 5. Calculate w(o).\n' | b'-1\n' | b'Let d(n) = n + 8. Let o be d(-7). Suppose 0 = -5*j - 4 + 14, 0 = 4*y + 4*j - 20. Let w(i) = -i**2 + 4 - i**3 + 2*i**y - 5. Calculate w(o).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (m/m**(-6))/(m*m**(-4/3)/m*m)*m**(-3/10)*m*m*m**9 assuming m is positive.\n' | b'm**(541/30)\n' | b'Simplify (m/m**(-6))/(m*m**(-4/3)/m*m)*m**(-3/10)*m*m*m**9 assuming m is positive.\n' | b'm**(541/30)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ocxmw. Give prob of picking 4 x.\n' | b'0\n' | b'Four letters picked without replacement from ocxmw. Give prob of picking 4 x.\n' | b'0\n' | deepmind/math_dataset |
b'Let b be (-986)/145*2/(4/(-5)). Solve -y = 3*i - b, -3*i + 29 - 8 = 3*y for y.\n' | b'2\n' | b'Let b be (-986)/145*2/(4/(-5)). Solve -y = 3*i - b, -3*i + 29 - 8 = 3*y for y.\n' | b'2\n' | deepmind/math_dataset |
b'Let z(q) = -q**3 + 7*q**2 - 13*q + 13. Let r be z(5). Let w(a) = a**3 + 3*a**2 - 1. Give w(r).\n' | b'3\n' | b'Let z(q) = -q**3 + 7*q**2 - 13*q + 13. Let r be z(5). Let w(a) = a**3 + 3*a**2 - 1. Give w(r).\n' | b'3\n' | deepmind/math_dataset |
b'Let g(p) = p**3 - 8*p**2 + 7*p + 3. Let s be g(7). Suppose 2*u - 3*z + s = 0, -u - 4*u - 3*z = -45. Solve -5*k - 2 - 3 = 2*x, 0 = 2*x + 4*k + u for x.\n' | b'-5\n' | b'Let g(p) = p**3 - 8*p**2 + 7*p + 3. Let s be g(7). Suppose 2*u - 3*z + s = 0, -u - 4*u - 3*z = -45. Solve -5*k - 2 - 3 = 2*x, 0 = 2*x + 4*k + u for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence ymy when three letters picked without replacement from myygymmmmgyy.\n' | b'5/66\n' | b'Calculate prob of sequence ymy when three letters picked without replacement from myygymmmmgyy.\n' | b'5/66\n' | deepmind/math_dataset |
b'Simplify t**(1/4)/t*t/(t**(-1)*t)*t assuming t is positive.\n' | b't**(5/4)\n' | b'Simplify t**(1/4)/t*t/(t**(-1)*t)*t assuming t is positive.\n' | b't**(5/4)\n' | deepmind/math_dataset |
b'Let c(l) = -11*l - 37. Let r be c(-9). Let b = 266 - r. Find the second derivative of 401 + 37*d - 197 - b - 8*d**4 wrt d.\n' | b'-96*d**2\n' | b'Let c(l) = -11*l - 37. Let r be c(-9). Let b = 266 - r. Find the second derivative of 401 + 37*d - 197 - b - 8*d**4 wrt d.\n' | b'-96*d**2\n' | deepmind/math_dataset |
b'Let v be (12/8)/(6/12). Solve -l = 0, g + v*l - 4 = 2*g for g.\n' | b'-4\n' | b'Let v be (12/8)/(6/12). Solve -l = 0, g + v*l - 4 = 2*g for g.\n' | b'-4\n' | deepmind/math_dataset |
b'Let x(o) = 20*o + 275. Let b be x(-10). What is the second derivative of -4*m**3 + b*m + 20*m**3 + 85*m - 4*m**3 + 10*m wrt m?\n' | b'72*m\n' | b'Let x(o) = 20*o + 275. Let b be x(-10). What is the second derivative of -4*m**3 + b*m + 20*m**3 + 85*m - 4*m**3 + 10*m wrt m?\n' | b'72*m\n' | deepmind/math_dataset |
b'Let v(c) = -67*c**2 + 74*c**2 + 0*c**3 - c**3 - 10*c + 7. Give v(6).\n' | b'-17\n' | b'Let v(c) = -67*c**2 + 74*c**2 + 0*c**3 - c**3 - 10*c + 7. Give v(6).\n' | b'-17\n' | deepmind/math_dataset |
b'Suppose n + 2 = 2*n. Suppose 0 = 2*h - 3*m - 280, 0*h + 3*h + 3*m - 390 = 0. Let x = 138 - h. Solve 4*r + p = n, r = x*r - 4*p - 11 for r.\n' | b'1\n' | b'Suppose n + 2 = 2*n. Suppose 0 = 2*h - 3*m - 280, 0*h + 3*h + 3*m - 390 = 0. Let x = 138 - h. Solve 4*r + p = n, r = x*r - 4*p - 11 for r.\n' | b'1\n' | deepmind/math_dataset |
b'Let r = -30423 + 30445. Solve -5*v = 3*w - 2, -v - 4*w + r = 8 for v.\n' | b'-2\n' | b'Let r = -30423 + 30445. Solve -5*v = 3*w - 2, -v - 4*w + r = 8 for v.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 3*m + 2*m - 160 = -2*a, -140 = -5*m + 2*a. Let i = m + -24. Let n(c) be the third derivative of c**4/24 - 2*c**3/3 + c**2. Calculate n(i).\n' | b'2\n' | b'Suppose 3*m + 2*m - 160 = -2*a, -140 = -5*m + 2*a. Let i = m + -24. Let n(c) be the third derivative of c**4/24 - 2*c**3/3 + c**2. Calculate n(i).\n' | b'2\n' | deepmind/math_dataset |
b'Let b be -1*(7 - 0)/1. Let y(w) = w + 13. Let h be y(b). Suppose 0 = -3*a + a + h. Solve -3*g + 2*j - a = 11, 0 = -g + 2*j - 6 for g.\n' | b'-4\n' | b'Let b be -1*(7 - 0)/1. Let y(w) = w + 13. Let h be y(b). Suppose 0 = -3*a + a + h. Solve -3*g + 2*j - a = 11, 0 = -g + 2*j - 6 for g.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 6, i: 13}. Give prob of sequence ip.\n' | b'13/57\n' | b'Two letters picked without replacement from {p: 6, i: 13}. Give prob of sequence ip.\n' | b'13/57\n' | deepmind/math_dataset |
b'Suppose 0*r = 3*r - 16*r. Suppose 15*o - 24*o - 9 = r. Let u(g) = -7*g**3 + 2*g**2 + g. Give u(o).\n' | b'8\n' | b'Suppose 0*r = 3*r - 16*r. Suppose 15*o - 24*o - 9 = r. Let u(g) = -7*g**3 + 2*g**2 + g. Give u(o).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify l*l/(((l/(l/(((l*l**(-1/2))/l)/l))*l)/l)/l)*l*l*l*(l**(-6/13)/l)/l*l*l assuming l is positive.\n' | b'l**(183/26)\n' | b'Simplify l*l/(((l/(l/(((l*l**(-1/2))/l)/l))*l)/l)/l)*l*l*l*(l**(-6/13)/l)/l*l*l assuming l is positive.\n' | b'l**(183/26)\n' | deepmind/math_dataset |
b'Simplify (((b*b**(1/2))/b)**5)**(-12)/((b*b*b/(b/(b**(2/3)/b)))**(5/4))**(-6/23) assuming b is positive.\n' | b'b**(-1355/46)\n' | b'Simplify (((b*b**(1/2))/b)**5)**(-12)/((b*b*b/(b/(b**(2/3)/b)))**(5/4))**(-6/23) assuming b is positive.\n' | b'b**(-1355/46)\n' | deepmind/math_dataset |
b'Let t(v) be the third derivative of -3043*v**5/30 + 1375*v**3/6 + 6770*v**2. What is the first derivative of t(n) wrt n?\n' | b'-12172*n\n' | b'Let t(v) be the third derivative of -3043*v**5/30 + 1375*v**3/6 + 6770*v**2. What is the first derivative of t(n) wrt n?\n' | b'-12172*n\n' | deepmind/math_dataset |
b'Let s(k) be the second derivative of 279*k**8/56 + k**4/2 - 5*k**3/3 + 23*k - 1. What is the third derivative of s(h) wrt h?\n' | b'33480*h**3\n' | b'Let s(k) be the second derivative of 279*k**8/56 + k**4/2 - 5*k**3/3 + 23*k - 1. What is the third derivative of s(h) wrt h?\n' | b'33480*h**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 4, m: 7}. Give prob of picking 2 m and 1 g.\n' | b'28/55\n' | b'Three letters picked without replacement from {g: 4, m: 7}. Give prob of picking 2 m and 1 g.\n' | b'28/55\n' | deepmind/math_dataset |
b'Let d(l) = 27*l**2 - 5*l + 58. Let i(g) = g**2 - g. Let w be (20*1/2)/(-2). Let c(x) = w*i(x) + d(x). What is the derivative of c(s) wrt s?\n' | b'44*s\n' | b'Let d(l) = 27*l**2 - 5*l + 58. Let i(g) = g**2 - g. Let w be (20*1/2)/(-2). Let c(x) = w*i(x) + d(x). What is the derivative of c(s) wrt s?\n' | b'44*s\n' | deepmind/math_dataset |
b'Let o(f) = 9*f - 15. Let r be o(2). Solve v - 4*a - 9 + 0 = 0, -r*a = v + 5 for v.\n' | b'1\n' | b'Let o(f) = 9*f - 15. Let r be o(2). Solve v - 4*a - 9 + 0 = 0, -r*a = v + 5 for v.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 1, t: 1, z: 1, p: 2, x: 1, s: 2}. Give prob of picking 1 p and 1 x.\n' | b'1/14\n' | b'Two letters picked without replacement from {n: 1, t: 1, z: 1, p: 2, x: 1, s: 2}. Give prob of picking 1 p and 1 x.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let m(o) = -o**2 - o + 5. Let j be m(0). Let i be (j + -10)/(-1 + 0). Suppose 3*a + p - 3*p - i = 0, 13 = -5*a - 2*p. Let h(f) = -f**2 + f + 1. Determine h(a).\n' | b'-1\n' | b'Let m(o) = -o**2 - o + 5. Let j be m(0). Let i be (j + -10)/(-1 + 0). Suppose 3*a + p - 3*p - i = 0, 13 = -5*a - 2*p. Let h(f) = -f**2 + f + 1. Determine h(a).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (m*m**(-11)*m)/m*m**(5/3) assuming m is positive.\n' | b'm**(-25/3)\n' | b'Simplify (m*m**(-11)*m)/m*m**(5/3) assuming m is positive.\n' | b'm**(-25/3)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nnnhhnnnhnnnnhnnhnh. What is prob of picking 3 h?\n' | b'20/969\n' | b'Three letters picked without replacement from nnnhhnnnhnnnnhnnhnh. What is prob of picking 3 h?\n' | b'20/969\n' | deepmind/math_dataset |
b'Simplify (v**(2/9)*v/(v*v**(3/5)))**(-12/5)/((v**(1/6)*v)/(v*v**(-4)*v)*v**0/((v/(v**1*v)*v)/v)) assuming v is positive.\n' | b'v**(-163/50)\n' | b'Simplify (v**(2/9)*v/(v*v**(3/5)))**(-12/5)/((v**(1/6)*v)/(v*v**(-4)*v)*v**0/((v/(v**1*v)*v)/v)) assuming v is positive.\n' | b'v**(-163/50)\n' | deepmind/math_dataset |
b'Let w be (0 - 0) + -8*6/(-24). Let s(o) be the first derivative of 5*o**3/3 - o**2/2 - o + 71. Determine s(w).\n' | b'17\n' | b'Let w be (0 - 0) + -8*6/(-24). Let s(o) be the first derivative of 5*o**3/3 - o**2/2 - o + 71. Determine s(w).\n' | b'17\n' | deepmind/math_dataset |
b'Let f(r) be the first derivative of 1/120*r**5 - 3 - 8/3*r**3 + 1/24*r**4 + 0*r + 0*r**2. Let s(i) be the third derivative of f(i). Give s(-3).\n' | b'-2\n' | b'Let f(r) be the first derivative of 1/120*r**5 - 3 - 8/3*r**3 + 1/24*r**4 + 0*r + 0*r**2. Let s(i) be the third derivative of f(i). Give s(-3).\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence zaaz when four letters picked without replacement from {a: 13, z: 3}?\n' | b'3/140\n' | b'What is prob of sequence zaaz when four letters picked without replacement from {a: 13, z: 3}?\n' | b'3/140\n' | deepmind/math_dataset |
b'Let b(x) be the second derivative of 913*x**7/21 - 91*x**4/4 + 45*x - 1. What is the third derivative of b(a) wrt a?\n' | b'109560*a**2\n' | b'Let b(x) be the second derivative of 913*x**7/21 - 91*x**4/4 + 45*x - 1. What is the third derivative of b(a) wrt a?\n' | b'109560*a**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence gxxg when four letters picked without replacement from gxdxdccuddodg.\n' | b'1/4290\n' | b'Calculate prob of sequence gxxg when four letters picked without replacement from gxdxdccuddodg.\n' | b'1/4290\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fwgwiree. What is prob of sequence wr?\n' | b'1/28\n' | b'Two letters picked without replacement from fwgwiree. What is prob of sequence wr?\n' | b'1/28\n' | deepmind/math_dataset |
b'Simplify ((k/(k*k/((k/(k**8*k))/k)))/k)/k**(-8) assuming k is positive.\n' | b'k**(-3)\n' | b'Simplify ((k/(k*k/((k/(k**8*k))/k)))/k)/k**(-8) assuming k is positive.\n' | b'k**(-3)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 y when three letters picked without replacement from {y: 4, w: 4, q: 1, x: 3, u: 1, e: 1}.\n' | b'1/91\n' | b'Calculate prob of picking 3 y when three letters picked without replacement from {y: 4, w: 4, q: 1, x: 3, u: 1, e: 1}.\n' | b'1/91\n' | deepmind/math_dataset |
b'What is prob of sequence fi when two letters picked without replacement from {f: 1, i: 1, t: 3, a: 4, z: 6, c: 5}?\n' | b'1/380\n' | b'What is prob of sequence fi when two letters picked without replacement from {f: 1, i: 1, t: 3, a: 4, z: 6, c: 5}?\n' | b'1/380\n' | deepmind/math_dataset |
b'Let g(q) be the second derivative of 3/2*q**3 + 0*q**6 + 0*q**5 + 0*q**2 + 0*q**4 - 8/21*q**7 + 0 - 15*q. What is the second derivative of g(y) wrt y?\n' | b'-320*y**3\n' | b'Let g(q) be the second derivative of 3/2*q**3 + 0*q**6 + 0*q**5 + 0*q**2 + 0*q**4 - 8/21*q**7 + 0 - 15*q. What is the second derivative of g(y) wrt y?\n' | b'-320*y**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 3 r when four letters picked without replacement from cahprchrerrar.\n' | b'4/143\n' | b'Calculate prob of picking 1 c and 3 r when four letters picked without replacement from cahprchrerrar.\n' | b'4/143\n' | deepmind/math_dataset |
b'Simplify ((i/(i/(i/(i*i**13)*i)))/(i*(i/(i*(i*i**(2/3)/i)/i))/i*i*i))/(i**19*(i/(i*i*i/(i/i**(5/3))))/i) assuming i is positive.\n' | b'i**(-89/3)\n' | b'Simplify ((i/(i/(i/(i*i**13)*i)))/(i*(i/(i*(i*i**(2/3)/i)/i))/i*i*i))/(i**19*(i/(i*i*i/(i/i**(5/3))))/i) assuming i is positive.\n' | b'i**(-89/3)\n' | deepmind/math_dataset |
b'Let p(z) be the first derivative of 28*z**3/3 - 5*z**2/2 + z + 36. What is the second derivative of p(g) wrt g?\n' | b'56\n' | b'Let p(z) be the first derivative of 28*z**3/3 - 5*z**2/2 + z + 36. What is the second derivative of p(g) wrt g?\n' | b'56\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 3, s: 4}. What is prob of picking 2 s?\n' | b'2/7\n' | b'Two letters picked without replacement from {l: 3, s: 4}. What is prob of picking 2 s?\n' | b'2/7\n' | deepmind/math_dataset |
b'Let t be -4*(-18)/(-12)*(-3)/9. Let c(k) = -2*k + 2. Calculate c(t).\n' | b'-2\n' | b'Let t be -4*(-18)/(-12)*(-3)/9. Let c(k) = -2*k + 2. Calculate c(t).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (g*g**(-26))/g**(-6) assuming g is positive.\n' | b'g**(-19)\n' | b'Simplify (g*g**(-26))/g**(-6) assuming g is positive.\n' | b'g**(-19)\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 2 t when three letters picked without replacement from ztht?\n' | b'1/4\n' | b'What is prob of picking 1 z and 2 t when three letters picked without replacement from ztht?\n' | b'1/4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kpapaadvavamkkpavkd. What is prob of sequence dkkk?\n' | b'1/1938\n' | b'Four letters picked without replacement from kpapaadvavamkkpavkd. What is prob of sequence dkkk?\n' | b'1/1938\n' | deepmind/math_dataset |
b'Suppose -4*l = 2 + 10, 3*d - 5*l = 39. Let g(n) = -2*n - 7*n + d*n + 2. Let k be (-4)/(-1) + 12/(-2). Give g(k).\n' | b'4\n' | b'Suppose -4*l = 2 + 10, 3*d - 5*l = 39. Let g(n) = -2*n - 7*n + d*n + 2. Let k be (-4)/(-1) + 12/(-2). Give g(k).\n' | b'4\n' | deepmind/math_dataset |
b'Let c(i) be the first derivative of 5*i**8/56 - i**4/6 - i + 2. Let u(k) be the first derivative of c(k). Find the third derivative of u(s) wrt s.\n' | b'600*s**3\n' | b'Let c(i) be the first derivative of 5*i**8/56 - i**4/6 - i + 2. Let u(k) be the first derivative of c(k). Find the third derivative of u(s) wrt s.\n' | b'600*s**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence bbbf when four letters picked without replacement from fbbbfbbbbfbbfbbffb.\n' | b'11/102\n' | b'Calculate prob of sequence bbbf when four letters picked without replacement from fbbbfbbbbfbbfbbffb.\n' | b'11/102\n' | deepmind/math_dataset |
b'What is prob of sequence xu when two letters picked without replacement from qzwzwuxuoxxz?\n' | b'1/22\n' | b'What is prob of sequence xu when two letters picked without replacement from qzwzwuxuoxxz?\n' | b'1/22\n' | deepmind/math_dataset |
b'Suppose 2*m - 24 = -5*k, 0*k - k + 4 = 0. Solve 4*x = 2*p - 20, -3*x - 2*p - 15 = m*p for x.\n' | b'-5\n' | b'Suppose 2*m - 24 = -5*k, 0*k - k + 4 = 0. Solve 4*x = 2*p - 20, -3*x - 2*p - 15 = m*p for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Let f = -139 + 36. Let l be (-4)/42 - f/(-21). Let c(x) = -x**2 - 2*x + 1. Give c(l).\n' | b'-14\n' | b'Let f = -139 + 36. Let l be (-4)/42 - f/(-21). Let c(x) = -x**2 - 2*x + 1. Give c(l).\n' | b'-14\n' | deepmind/math_dataset |
b'What is prob of picking 4 j when four letters picked without replacement from jjjrrjr?\n' | b'1/35\n' | b'What is prob of picking 4 j when four letters picked without replacement from jjjrrjr?\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose -59*w + 26 = -46*w. Let d(k) = -k**3 - 4*k**2 - 2*k - 4. Let z be d(-4). Solve w*c - 4 = 0, 4*a + c = 3*c - z for a.\n' | b'0\n' | b'Suppose -59*w + 26 = -46*w. Let d(k) = -k**3 - 4*k**2 - 2*k - 4. Let z be d(-4). Solve w*c - 4 = 0, 4*a + c = 3*c - z for a.\n' | b'0\n' | deepmind/math_dataset |
b'Let f = 8 + -18. Let j be (-18)/f - (-1)/5. Solve -d + 8 = -q + 2*d, j*q = 4*d - 12 for q.\n' | b'-2\n' | b'Let f = 8 + -18. Let j be (-18)/f - (-1)/5. Solve -d + 8 = -q + 2*d, j*q = 4*d - 12 for q.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {m: 7, c: 9}.\n' | b'21/40\n' | b'Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {m: 7, c: 9}.\n' | b'21/40\n' | deepmind/math_dataset |
b'Let r(y) = y**2 + 2. Let t be (-87)/232 - 26/16. What is r(t)?\n' | b'6\n' | b'Let r(y) = y**2 + 2. Let t be (-87)/232 - 26/16. What is r(t)?\n' | b'6\n' | deepmind/math_dataset |
b'Let n be (-3)/2*(-8)/24*410. Suppose -42*l - 79 = -n. Solve 4*z - 32 = -5*m, 3*m - 1 = l*z + 2 for z.\n' | b'3\n' | b'Let n be (-3)/2*(-8)/24*410. Suppose -42*l - 79 = -n. Solve 4*z - 32 = -5*m, 3*m - 1 = l*z + 2 for z.\n' | b'3\n' | deepmind/math_dataset |
b'What is the second derivative of -2*x - 2*x - x + 7*x**4 wrt x?\n' | b'84*x**2\n' | b'What is the second derivative of -2*x - 2*x - x + 7*x**4 wrt x?\n' | b'84*x**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 1, v: 5, f: 1, t: 2}. Give prob of picking 1 t and 1 f.\n' | b'1/18\n' | b'Two letters picked without replacement from {c: 1, v: 5, f: 1, t: 2}. Give prob of picking 1 t and 1 f.\n' | b'1/18\n' | deepmind/math_dataset |
b'Simplify (l**(-1)/(l*l/(l**(-5)/l)*l))/(l**(-2/3)/(l/l**10)) assuming l is positive.\n' | b'l**(-55/3)\n' | b'Simplify (l**(-1)/(l*l/(l**(-5)/l)*l))/(l**(-2/3)/(l/l**10)) assuming l is positive.\n' | b'l**(-55/3)\n' | deepmind/math_dataset |
b'Simplify v**10*v*v/(v/v**(-1))*v**(-4)*v**2 assuming v is positive.\n' | b'v**8\n' | b'Simplify v**10*v*v/(v/v**(-1))*v**(-4)*v**2 assuming v is positive.\n' | b'v**8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mqm. Give prob of sequence mm.\n' | b'1/3\n' | b'Two letters picked without replacement from mqm. Give prob of sequence mm.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let r = -4 + 9. Solve 0 = -4*s + r*l - 2, 0*s - 2*s - 6 = -5*l for s.\n' | b'2\n' | b'Let r = -4 + 9. Solve 0 = -4*s + r*l - 2, 0*s - 2*s - 6 = -5*l for s.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -5 = -2*q + 5. What is the second derivative of 4*g**q + 3*g + 3*g - 5*g wrt g?\n' | b'80*g**3\n' | b'Suppose -5 = -2*q + 5. What is the second derivative of 4*g**q + 3*g + 3*g - 5*g wrt g?\n' | b'80*g**3\n' | deepmind/math_dataset |
b'Simplify (f**16*f)/(f/(f*f**(-1/3))) assuming f is positive.\n' | b'f**(50/3)\n' | b'Simplify (f**16*f)/(f/(f*f**(-1/3))) assuming f is positive.\n' | b'f**(50/3)\n' | deepmind/math_dataset |
b'Let w(m) = -2*m**2 + 35*m + 6. Let c be w(18). Let l be (3/(-2) - -1)*34. Let n = c - l. Solve -g = -3*g + 3*q - 8, n*g + 3*q - 22 = 0 for g.\n' | b'2\n' | b'Let w(m) = -2*m**2 + 35*m + 6. Let c be w(18). Let l be (3/(-2) - -1)*34. Let n = c - l. Solve -g = -3*g + 3*q - 8, n*g + 3*q - 22 = 0 for g.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 128 = 4*t - 0*t. Suppose -93 = -5*a + t. Solve 3*w - u + 11 = 0, 0*w + a = -w - 5*u for w.\n' | b'-5\n' | b'Suppose 128 = 4*t - 0*t. Suppose -93 = -5*a + t. Solve 3*w - u + 11 = 0, 0*w + a = -w - 5*u for w.\n' | b'-5\n' | deepmind/math_dataset |
b'Let v = -10569 + 10550. Let b(s) = -10*s - 186. What is b(v)?\n' | b'4\n' | b'Let v = -10569 + 10550. Let b(s) = -10*s - 186. What is b(v)?\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (c**11/c*c*c**(-8)*c)**(6/13) assuming c is positive.\n' | b'c**(24/13)\n' | b'Simplify (c**11/c*c*c**(-8)*c)**(6/13) assuming c is positive.\n' | b'c**(24/13)\n' | deepmind/math_dataset |
b'Find the second derivative of 2*x + 53*x**4 + 4*x - 48*x**4 wrt x.\n' | b'60*x**2\n' | b'Find the second derivative of 2*x + 53*x**4 + 4*x - 48*x**4 wrt x.\n' | b'60*x**2\n' | deepmind/math_dataset |
b'Let k = -17 + 23. Solve -3*y = -d - k - 3, 0 = -2*d for y.\n' | b'3\n' | b'Let k = -17 + 23. Solve -3*y = -d - k - 3, 0 = -2*d for y.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 0 = f + 2*k - 11, -k - 6 = -3*k. Suppose 4*r = 5*i - 24, i - 2*r = f + 1. Solve -4*t + 8 = 0, -4*x + 0*t = -i*t - 12 for x.\n' | b'5\n' | b'Suppose 0 = f + 2*k - 11, -k - 6 = -3*k. Suppose 4*r = 5*i - 24, i - 2*r = f + 1. Solve -4*t + 8 = 0, -4*x + 0*t = -i*t - 12 for x.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((d*d*d**(-2/67)*d)/((d*d**31*d)/d))**(1/6) assuming d is positive.\n' | b'd**(-1945/402)\n' | b'Simplify ((d*d*d**(-2/67)*d)/((d*d**31*d)/d))**(1/6) assuming d is positive.\n' | b'd**(-1945/402)\n' | deepmind/math_dataset |
b'Let m(t) = t**3 - 3*t**2 - t - 3. Let z(n) = 2*n**3 + 15*n**2 - n - 12. Let h be z(-9). Let k be (-12)/(-14)*(h/(-18) + -9). What is m(k)?\n' | b'9\n' | b'Let m(t) = t**3 - 3*t**2 - t - 3. Let z(n) = 2*n**3 + 15*n**2 - n - 12. Let h be z(-9). Let k be (-12)/(-14)*(h/(-18) + -9). What is m(k)?\n' | b'9\n' | deepmind/math_dataset |
b'Simplify ((r**(-4/7))**41)**(7/3) assuming r is positive.\n' | b'r**(-164/3)\n' | b'Simplify ((r**(-4/7))**41)**(7/3) assuming r is positive.\n' | b'r**(-164/3)\n' | deepmind/math_dataset |
b'Let h(y) be the first derivative of 48*y**2 + 4*y - 24*y**2 + 42 - 39*y**2. What is the derivative of h(i) wrt i?\n' | b'-30\n' | b'Let h(y) be the first derivative of 48*y**2 + 4*y - 24*y**2 + 42 - 39*y**2. What is the derivative of h(i) wrt i?\n' | b'-30\n' | deepmind/math_dataset |
b'Simplify ((o**(-1)*((o**(-2/19)*o*o)/o)/o)/(o*o**(-3/2)*o*(o/(o**(-2/7)/o*o)*o*o)/o*o*o))/(o**(-4/9)/(o**3*o)*o*o**5*o*o**(-3/4)) assuming o is positive.\n' | b'o**(-36851/4788)\n' | b'Simplify ((o**(-1)*((o**(-2/19)*o*o)/o)/o)/(o*o**(-3/2)*o*(o/(o**(-2/7)/o*o)*o*o)/o*o*o))/(o**(-4/9)/(o**3*o)*o*o**5*o*o**(-3/4)) assuming o is positive.\n' | b'o**(-36851/4788)\n' | deepmind/math_dataset |
b'Simplify (z/(z*z*z*z**(-2/29))*z*z/z**(2/7))/((((z*z*z*z*z**1*z*z*z)/z)/z)/z*z)**(13/5)*(z**0/z)**5/(z**(-2)/(z/z**(-7)*z)) assuming z is positive.\n' | b'z**(-9964/1015)\n' | b'Simplify (z/(z*z*z*z**(-2/29))*z*z/z**(2/7))/((((z*z*z*z*z**1*z*z*z)/z)/z)/z*z)**(13/5)*(z**0/z)**5/(z**(-2)/(z/z**(-7)*z)) assuming z is positive.\n' | b'z**(-9964/1015)\n' | deepmind/math_dataset |
b'Let k = 7 + -11. Let u be (3 - 0)/(k/(-1*4)). Solve 3*t - 12 = 0, -3*i - 2*i + 3 = -u*t for i.\n' | b'3\n' | b'Let k = 7 + -11. Let u be (3 - 0)/(k/(-1*4)). Solve 3*t - 12 = 0, -3*i - 2*i + 3 = -u*t for i.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (s**4*s**(-1/5))**28 assuming s is positive.\n' | b's**(532/5)\n' | b'Simplify (s**4*s**(-1/5))**28 assuming s is positive.\n' | b's**(532/5)\n' | deepmind/math_dataset |
b'Let u(f) = f**4 + f**3 + f**2 - 2*f - 1. Let b(l) = -2304*l**4 - 8*l**3 - 8*l**2 + 16*l - 2297. Let t(w) = -b(w) - 8*u(w). What is the derivative of t(z) wrt z?\n' | b'9184*z**3\n' | b'Let u(f) = f**4 + f**3 + f**2 - 2*f - 1. Let b(l) = -2304*l**4 - 8*l**3 - 8*l**2 + 16*l - 2297. Let t(w) = -b(w) - 8*u(w). What is the derivative of t(z) wrt z?\n' | b'9184*z**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence whh when three letters picked without replacement from {w: 2, h: 3}.\n' | b'1/5\n' | b'Calculate prob of sequence whh when three letters picked without replacement from {w: 2, h: 3}.\n' | b'1/5\n' | deepmind/math_dataset |
b'Simplify (s/(s**(-4/25)*s))/(s/s**(-6))*((s/((s*s**(-17))/s))/s)**(28/5) assuming s is positive.\n' | b's**(2209/25)\n' | b'Simplify (s/(s**(-4/25)*s))/(s/s**(-6))*((s/((s*s**(-17))/s))/s)**(28/5) assuming s is positive.\n' | b's**(2209/25)\n' | deepmind/math_dataset |
b'Let a(n) = -n**3 - 2*n**2 + 6*n - 9. Suppose 0 = 3180*y - 3205*y - 125. Give a(y).\n' | b'36\n' | b'Let a(n) = -n**3 - 2*n**2 + 6*n - 9. Suppose 0 = 3180*y - 3205*y - 125. Give a(y).\n' | b'36\n' | deepmind/math_dataset |
b'Let p(o) = 3*o**3 + 7*o**2 + 6*o - 5. Let q(z) = z**3 + z**2 + z - 5. Let w(d) = -p(d) + 2*q(d). Let r be -4 + 0/(0 + 2). What is w(r)?\n' | b'-5\n' | b'Let p(o) = 3*o**3 + 7*o**2 + 6*o - 5. Let q(z) = z**3 + z**2 + z - 5. Let w(d) = -p(d) + 2*q(d). Let r be -4 + 0/(0 + 2). What is w(r)?\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify n**(-2)/n**(2/45) assuming n is positive.\n' | b'n**(-92/45)\n' | b'Simplify n**(-2)/n**(2/45) assuming n is positive.\n' | b'n**(-92/45)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aoookokak. What is prob of sequence kak?\n' | b'1/42\n' | b'Three letters picked without replacement from aoookokak. What is prob of sequence kak?\n' | b'1/42\n' | deepmind/math_dataset |
b'Let s(b) = 3*b**2 - 6*b + 4. Let p be s(2). Solve -4*g - g = p*q, -5*g - 3*q - 5 = 0 for g.\n' | b'-4\n' | b'Let s(b) = 3*b**2 - 6*b + 4. Let p be s(2). Solve -4*g - g = p*q, -5*g - 3*q - 5 = 0 for g.\n' | b'-4\n' | deepmind/math_dataset |
b'Let w be ((-9)/(-6))/((-6)/(-76)). Let x = 35 - w. Solve -4*p = m + p - 8, 0 = 3*m - 5*p + x for m.\n' | b'-2\n' | b'Let w be ((-9)/(-6))/((-6)/(-76)). Let x = 35 - w. Solve -4*p = m + p - 8, 0 = 3*m - 5*p + x for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify w**(3/5)/w*w**(1/5)*(w*w*w**(-2/5))**16 assuming w is positive.\n' | b'w**(127/5)\n' | b'Simplify w**(3/5)/w*w**(1/5)*(w*w*w**(-2/5))**16 assuming w is positive.\n' | b'w**(127/5)\n' | deepmind/math_dataset |
b'Let p(k) be the first derivative of -2*k**7/7 - 15*k**4 + 166*k**3/3 + 451. Find the third derivative of p(l) wrt l.\n' | b'-240*l**3 - 360\n' | b'Let p(k) be the first derivative of -2*k**7/7 - 15*k**4 + 166*k**3/3 + 451. Find the third derivative of p(l) wrt l.\n' | b'-240*l**3 - 360\n' | deepmind/math_dataset |
b'Let a(g) = -3*g**2. Let c be a(0). What is the derivative of j**4 - 11*j**4 + 28 + c*j**4 + 0*j**4 wrt j?\n' | b'-40*j**3\n' | b'Let a(g) = -3*g**2. Let c be a(0). What is the derivative of j**4 - 11*j**4 + 28 + c*j**4 + 0*j**4 wrt j?\n' | b'-40*j**3\n' | deepmind/math_dataset |
b'Let c(a) = -a**2 - 10*a + 12. Let x be c(-11). Let f be x + (-3 - -5) + 1. Suppose 5*u = -2 + 7. Solve -l - l + f = 5*t, t + u = -l for l.\n' | b'-3\n' | b'Let c(a) = -a**2 - 10*a + 12. Let x be c(-11). Let f be x + (-3 - -5) + 1. Suppose 5*u = -2 + 7. Solve -l - l + f = 5*t, t + u = -l for l.\n' | b'-3\n' | deepmind/math_dataset |
b'Let v(i) = 6*i + 190. Let d be (-4)/(2 + -4) + -33. Let t be v(d). Solve 0 = -4*p + 2*k + t, p + 2*k = -3*k + 12 for p.\n' | b'2\n' | b'Let v(i) = 6*i + 190. Let d be (-4)/(2 + -4) + -33. Let t be v(d). Solve 0 = -4*p + 2*k + t, p + 2*k = -3*k + 12 for p.\n' | b'2\n' | deepmind/math_dataset |
b'Let x(p) be the second derivative of 3*p**5/5 + 5*p**3/3 - 12*p. Find the second derivative of x(d) wrt d.\n' | b'72*d\n' | b'Let x(p) be the second derivative of 3*p**5/5 + 5*p**3/3 - 12*p. Find the second derivative of x(d) wrt d.\n' | b'72*d\n' | deepmind/math_dataset |
b'Suppose -76*j = -61*j - 45. Solve -4*t + 2*m = -5 - 11, j*m = 5*t - 20 for t.\n' | b'4\n' | b'Suppose -76*j = -61*j - 45. Solve -4*t + 2*m = -5 - 11, j*m = 5*t - 20 for t.\n' | b'4\n' | deepmind/math_dataset |
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