question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Calculate prob of sequence oa when two letters picked without replacement from {h: 1, o: 1, a: 1}.\n' | b'1/6\n' | b'Calculate prob of sequence oa when two letters picked without replacement from {h: 1, o: 1, a: 1}.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let l be 300/(-5)*(0 + 3)/(-6). Suppose 0 = 47*k - 41*k - l. Solve c = 3*v + 8, -5*c - v = -k - 3 for c.\n' | b'2\n' | b'Let l be 300/(-5)*(0 + 3)/(-6). Suppose 0 = 47*k - 41*k - l. Solve c = 3*v + 8, -5*c - v = -k - 3 for c.\n' | b'2\n' | deepmind/math_dataset |
b'Let a = 452 + -450. Solve 20 = 4*o + 5*i, a*i + 12 = -2*o + 5*i for o.\n' | b'0\n' | b'Let a = 452 + -450. Solve 20 = 4*o + 5*i, a*i + 12 = -2*o + 5*i for o.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xmmqmmmmtqtmxqxqvmvp. Give prob of sequence pmqv.\n' | b'8/14535\n' | b'Four letters picked without replacement from xmmqmmmmtqtmxqxqvmvp. Give prob of sequence pmqv.\n' | b'8/14535\n' | deepmind/math_dataset |
b'Suppose -3197*n = -3194*n - 51. Solve 0 = 4*z - 3*h, 2*h = -9*z + 6*z + n for z.\n' | b'3\n' | b'Suppose -3197*n = -3194*n - 51. Solve 0 = 4*z - 3*h, 2*h = -9*z + 6*z + n for z.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence jjj when three letters picked without replacement from {s: 3, j: 12}.\n' | b'44/91\n' | b'Calculate prob of sequence jjj when three letters picked without replacement from {s: 3, j: 12}.\n' | b'44/91\n' | deepmind/math_dataset |
b'Let w(y) = -y - 6. Let x(s) = -s - 5. Let p(o) = o + 5. Let v(a) = -5*p(a) - 6*x(a). Let u(j) = -5*v(j) - 4*w(j). What is u(4)?\n' | b'-5\n' | b'Let w(y) = -y - 6. Let x(s) = -s - 5. Let p(o) = o + 5. Let v(a) = -5*p(a) - 6*x(a). Let u(j) = -5*v(j) - 4*w(j). What is u(4)?\n' | b'-5\n' | deepmind/math_dataset |
b'Let w(i) = 0*i - 2*i + 4*i - 3 - 6. Let m be 18 - (0 + -4 + 1). Suppose 0 = -4*b - 4*t + 36, 4*b = 8*b - t - m. Determine w(b).\n' | b'3\n' | b'Let w(i) = 0*i - 2*i + 4*i - 3 - 6. Let m be 18 - (0 + -4 + 1). Suppose 0 = -4*b - 4*t + 36, 4*b = 8*b - t - m. Determine w(b).\n' | b'3\n' | deepmind/math_dataset |
b'Let r(w) = 6*w**2 - 10*w + w**3 + 12*w + 3 + 0. Let i(h) = h**3 + 3*h**3 - h - 5*h**3 - 5*h**2 - 3. Let p(g) = -5*i(g) - 4*r(g). Determine p(-3).\n' | b'-6\n' | b'Let r(w) = 6*w**2 - 10*w + w**3 + 12*w + 3 + 0. Let i(h) = h**3 + 3*h**3 - h - 5*h**3 - 5*h**2 - 3. Let p(g) = -5*i(g) - 4*r(g). Determine p(-3).\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of sequence jx when two letters picked without replacement from {g: 1, i: 2, x: 6, j: 2}?\n' | b'6/55\n' | b'What is prob of sequence jx when two letters picked without replacement from {g: 1, i: 2, x: 6, j: 2}?\n' | b'6/55\n' | deepmind/math_dataset |
b'Let x(p) = p**2 + 4*p - 4. Let u be x(-5). Let g(w) be the second derivative of -1/3*w**3 + 1/2*w**2 + 0 - 2*w + 2/3*w**4. Give g(u).\n' | b'7\n' | b'Let x(p) = p**2 + 4*p - 4. Let u be x(-5). Let g(w) be the second derivative of -1/3*w**3 + 1/2*w**2 + 0 - 2*w + 2/3*w**4. Give g(u).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify ((p**(6/7)/p)/p**(-1/6))/(p/p**(-1))**24 assuming p is positive.\n' | b'p**(-2015/42)\n' | b'Simplify ((p**(6/7)/p)/p**(-1/6))/(p/p**(-1))**24 assuming p is positive.\n' | b'p**(-2015/42)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from smbesb. Give prob of picking 2 b.\n' | b'1/15\n' | b'Two letters picked without replacement from smbesb. Give prob of picking 2 b.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let r(o) be the third derivative of o**5/40 + o**4/12 - o**3/2 - 2*o**2. Let d(t) be the first derivative of r(t). What is the derivative of d(v) wrt v?\n' | b'3\n' | b'Let r(o) be the third derivative of o**5/40 + o**4/12 - o**3/2 - 2*o**2. Let d(t) be the first derivative of r(t). What is the derivative of d(v) wrt v?\n' | b'3\n' | deepmind/math_dataset |
b'Let w(i) = -3*i - 28. Let k be w(-10). Let u(m) = -m - 4. Let n be u(-9). Let d(x) = -x**2 + 3*x + 16. Let h be d(n). Solve t = k*j + 3, t = j + h*t - 15 for j.\n' | b'0\n' | b'Let w(i) = -3*i - 28. Let k be w(-10). Let u(m) = -m - 4. Let n be u(-9). Let d(x) = -x**2 + 3*x + 16. Let h be d(n). Solve t = k*j + 3, t = j + h*t - 15 for j.\n' | b'0\n' | deepmind/math_dataset |
b'Let i = -20 + 27. Solve 0 = -4*h + 16, 2*j + h = -i + 1 for j.\n' | b'-5\n' | b'Let i = -20 + 27. Solve 0 = -4*h + 16, 2*j + h = -i + 1 for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify o**(-4)/(o*o**(-12)*o)*(o*o**(-2/5)/o)**49 assuming o is positive.\n' | b'o**(-68/5)\n' | b'Simplify o**(-4)/(o*o**(-12)*o)*(o*o**(-2/5)/o)**49 assuming o is positive.\n' | b'o**(-68/5)\n' | deepmind/math_dataset |
b'Let w(u) be the second derivative of u**5/10 + 7*u**4/12 + 163*u**3/6 - 9871*u**2/2 + 6*u - 93. What is the derivative of w(p) wrt p?\n' | b'6*p**2 + 14*p + 163\n' | b'Let w(u) be the second derivative of u**5/10 + 7*u**4/12 + 163*u**3/6 - 9871*u**2/2 + 6*u - 93. What is the derivative of w(p) wrt p?\n' | b'6*p**2 + 14*p + 163\n' | deepmind/math_dataset |
b'Simplify z**9*z**(-1/4)/z assuming z is positive.\n' | b'z**(31/4)\n' | b'Simplify z**9*z**(-1/4)/z assuming z is positive.\n' | b'z**(31/4)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p and 1 k when three letters picked without replacement from {t: 1, k: 3, p: 2, b: 7, m: 5}.\n' | b'1/272\n' | b'Calculate prob of picking 2 p and 1 k when three letters picked without replacement from {t: 1, k: 3, p: 2, b: 7, m: 5}.\n' | b'1/272\n' | deepmind/math_dataset |
b'Let y(d) = d**4 + d**3. Let o(z) = -49*z**4 + 6*z**3 + 82. Let p be (-228)/(-39) - (-8)/52. Let r(u) = p*y(u) - o(u). Differentiate r(w) wrt w.\n' | b'220*w**3\n' | b'Let y(d) = d**4 + d**3. Let o(z) = -49*z**4 + 6*z**3 + 82. Let p be (-228)/(-39) - (-8)/52. Let r(u) = p*y(u) - o(u). Differentiate r(w) wrt w.\n' | b'220*w**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 1, h: 1, v: 4, n: 1, t: 2, p: 3}. Give prob of picking 3 v.\n' | b'1/55\n' | b'Three letters picked without replacement from {l: 1, h: 1, v: 4, n: 1, t: 2, p: 3}. Give prob of picking 3 v.\n' | b'1/55\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 1, i: 2, y: 4, l: 4, f: 7}. Give prob of sequence ifyy.\n' | b'7/3060\n' | b'Four letters picked without replacement from {v: 1, i: 2, y: 4, l: 4, f: 7}. Give prob of sequence ifyy.\n' | b'7/3060\n' | deepmind/math_dataset |
b'Let r(m) be the first derivative of m**6/360 - m**5/40 - m**3 + 2. Let c(q) be the third derivative of r(q). What is c(3)?\n' | b'0\n' | b'Let r(m) be the first derivative of m**6/360 - m**5/40 - m**3 + 2. Let c(q) be the third derivative of r(q). What is c(3)?\n' | b'0\n' | deepmind/math_dataset |
b'Find the third derivative of 12*y**2 + 2 + 6 - 8 + 11*y**5 wrt y.\n' | b'660*y**2\n' | b'Find the third derivative of 12*y**2 + 2 + 6 - 8 + 11*y**5 wrt y.\n' | b'660*y**2\n' | deepmind/math_dataset |
b'Suppose 4*o = 5*u + 21 + 38, 5*o - 49 = -2*u. Let y be (o - 11)/(2/2). Solve y*z - 3*z - 2*v - 2 = 0, -4*z - 2*v = 0 for z.\n' | b'2\n' | b'Suppose 4*o = 5*u + 21 + 38, 5*o - 49 = -2*u. Let y be (o - 11)/(2/2). Solve y*z - 3*z - 2*v - 2 = 0, -4*z - 2*v = 0 for z.\n' | b'2\n' | deepmind/math_dataset |
b'Let c(k) = -k - 8. Suppose -4*v - 30 = -2*s, 4*s - 37 + 1 = 4*v. Calculate c(v).\n' | b'-2\n' | b'Let c(k) = -k - 8. Suppose -4*v - 30 = -2*s, 4*s - 37 + 1 = 4*v. Calculate c(v).\n' | b'-2\n' | deepmind/math_dataset |
b'Let y = -10 - -4. Let r be 66/3*(-9)/y. Suppose -6*q + 2*q - 2 = -c, 0 = -2*c - 4*q + 4. Solve -2*h - 4*z + 9 = r, 21 = c*h - 5*z for h.\n' | b'-2\n' | b'Let y = -10 - -4. Let r be 66/3*(-9)/y. Suppose -6*q + 2*q - 2 = -c, 0 = -2*c - 4*q + 4. Solve -2*h - 4*z + 9 = r, 21 = c*h - 5*z for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -5*h + 41 = -3*n, 7*h - 2*h + 5*n = 25. Let q(v) = -v**2 + v + 3. Let g be q(0). Suppose 17 = g*k - h. Solve -3*t - 5 = 3*c - k*c, -4*c + 4 = 0 for t.\n' | b'0\n' | b'Suppose -5*h + 41 = -3*n, 7*h - 2*h + 5*n = 25. Let q(v) = -v**2 + v + 3. Let g be q(0). Suppose 17 = g*k - h. Solve -3*t - 5 = 3*c - k*c, -4*c + 4 = 0 for t.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 0 = -132*z + 127*z + 30. Let w be ((-4)/(-3))/(4/6). Solve -4*m + 21 = -3*l, l - 9 = w*m - z*m for l.\n' | b'-3\n' | b'Suppose 0 = -132*z + 127*z + 30. Let w be ((-4)/(-3))/(4/6). Solve -4*m + 21 = -3*l, l - 9 = w*m - z*m for l.\n' | b'-3\n' | deepmind/math_dataset |
b'Let n(f) = 5*f**2 - 1. Suppose -2 = -8*j + 6. Calculate n(j).\n' | b'4\n' | b'Let n(f) = 5*f**2 - 1. Suppose -2 = -8*j + 6. Calculate n(j).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (n**(-1/3)/(n*n/(n**4*n*n))*(n**(-1/3))**(23/3))**(-1) assuming n is positive.\n' | b'n**(-10/9)\n' | b'Simplify (n**(-1/3)/(n*n/(n**4*n*n))*(n**(-1/3))**(23/3))**(-1) assuming n is positive.\n' | b'n**(-10/9)\n' | deepmind/math_dataset |
b'Simplify (f/(f/((f**(4/5)*f)/f*f)))**(-11) assuming f is positive.\n' | b'f**(-99/5)\n' | b'Simplify (f/(f/((f**(4/5)*f)/f*f)))**(-11) assuming f is positive.\n' | b'f**(-99/5)\n' | deepmind/math_dataset |
b'What is prob of sequence pli when three letters picked without replacement from qipiipliiiqpiipp?\n' | b'1/84\n' | b'What is prob of sequence pli when three letters picked without replacement from qipiipliiiqpiipp?\n' | b'1/84\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 2, e: 4, y: 3, n: 6, t: 1, j: 2}. What is prob of sequence jr?\n' | b'2/153\n' | b'Two letters picked without replacement from {r: 2, e: 4, y: 3, n: 6, t: 1, j: 2}. What is prob of sequence jr?\n' | b'2/153\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 10, x: 2, t: 4, r: 1, a: 1}. Give prob of picking 3 f and 1 a.\n' | b'2/51\n' | b'Four letters picked without replacement from {f: 10, x: 2, t: 4, r: 1, a: 1}. Give prob of picking 3 f and 1 a.\n' | b'2/51\n' | deepmind/math_dataset |
b'Let b(g) = g**3 - 7*g**2 + 9*g - 7. Let x be b(6). Suppose -x*s = -33 - 0. What is the third derivative of -8*l**2 + s*l - 9*l + 6*l - 36*l**6 wrt l?\n' | b'-4320*l**3\n' | b'Let b(g) = g**3 - 7*g**2 + 9*g - 7. Let x be b(6). Suppose -x*s = -33 - 0. What is the third derivative of -8*l**2 + s*l - 9*l + 6*l - 36*l**6 wrt l?\n' | b'-4320*l**3\n' | deepmind/math_dataset |
b'Let z(g) = -g**3 - 10*g**2 - g - 9. Suppose -2*v = -3 - 9. Suppose -p = -3*b - 25, v*p - p = -4*b - 65. Determine z(b).\n' | b'1\n' | b'Let z(g) = -g**3 - 10*g**2 - g - 9. Suppose -2*v = -3 - 9. Suppose -p = -3*b - 25, v*p - p = -4*b - 65. Determine z(b).\n' | b'1\n' | deepmind/math_dataset |
b'Let q(n) = -48*n + 2213. Let h be q(46). Let y(z) = -7*z + 39. What is y(h)?\n' | b'4\n' | b'Let q(n) = -48*n + 2213. Let h be q(46). Let y(z) = -7*z + 39. What is y(h)?\n' | b'4\n' | deepmind/math_dataset |
b'Let j be (-315)/(-147) - (-2)/(-14). What is the third derivative of 2*n**j - 5*n**2 - 9*n**4 + 13*n**2 wrt n?\n' | b'-216*n\n' | b'Let j be (-315)/(-147) - (-2)/(-14). What is the third derivative of 2*n**j - 5*n**2 - 9*n**4 + 13*n**2 wrt n?\n' | b'-216*n\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 1, l: 2, a: 3, d: 1, c: 3, w: 2}. What is prob of sequence ad?\n' | b'1/44\n' | b'Two letters picked without replacement from {v: 1, l: 2, a: 3, d: 1, c: 3, w: 2}. What is prob of sequence ad?\n' | b'1/44\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 2, j: 2, g: 1, c: 2, k: 1, w: 1}. Give prob of sequence gffc.\n' | b'1/756\n' | b'Four letters picked without replacement from {f: 2, j: 2, g: 1, c: 2, k: 1, w: 1}. Give prob of sequence gffc.\n' | b'1/756\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nlgtqcgcq. What is prob of picking 1 g, 2 c, and 1 q?\n' | b'2/63\n' | b'Four letters picked without replacement from nlgtqcgcq. What is prob of picking 1 g, 2 c, and 1 q?\n' | b'2/63\n' | deepmind/math_dataset |
b'Calculate prob of sequence sszs when four letters picked without replacement from zzsszsssss.\n' | b'1/8\n' | b'Calculate prob of sequence sszs when four letters picked without replacement from zzsszsssss.\n' | b'1/8\n' | deepmind/math_dataset |
b'What is prob of sequence xxx when three letters picked without replacement from {e: 3, x: 11}?\n' | b'165/364\n' | b'What is prob of sequence xxx when three letters picked without replacement from {e: 3, x: 11}?\n' | b'165/364\n' | deepmind/math_dataset |
b'Simplify b**(-1)*b/(b*b**(-2/11))*b**(3/20)/(b*b/b**(-46)) assuming b is positive.\n' | b'b**(-10707/220)\n' | b'Simplify b**(-1)*b/(b*b**(-2/11))*b**(3/20)/(b*b/b**(-46)) assuming b is positive.\n' | b'b**(-10707/220)\n' | deepmind/math_dataset |
b'Suppose -2*j + 37 - 31 = 4*j. Let q be 5/(4 + -9)*-2. Solve -3*r - q = j, -3*r = -5*x - 12 for x.\n' | b'-3\n' | b'Suppose -2*j + 37 - 31 = 4*j. Let q be 5/(4 + -9)*-2. Solve -3*r - q = j, -3*r = -5*x - 12 for x.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence hh when two letters picked without replacement from {h: 5, g: 3}?\n' | b'5/14\n' | b'What is prob of sequence hh when two letters picked without replacement from {h: 5, g: 3}?\n' | b'5/14\n' | deepmind/math_dataset |
b'Let b(k) = 1 - 43*k + 3 + 42*k. Give b(-4).\n' | b'8\n' | b'Let b(k) = 1 - 43*k + 3 + 42*k. Give b(-4).\n' | b'8\n' | deepmind/math_dataset |
b'Let n be (-2 + -18)*-1*8/(44 - 12). Let o(a) be the first derivative of n - 22*a + 0*a**2 + 16/3*a**3. What is the first derivative of o(i) wrt i?\n' | b'32*i\n' | b'Let n be (-2 + -18)*-1*8/(44 - 12). Let o(a) be the first derivative of n - 22*a + 0*a**2 + 16/3*a**3. What is the first derivative of o(i) wrt i?\n' | b'32*i\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 2, a: 10}. Give prob of picking 4 a.\n' | b'14/33\n' | b'Four letters picked without replacement from {z: 2, a: 10}. Give prob of picking 4 a.\n' | b'14/33\n' | deepmind/math_dataset |
b'Suppose 23 = -3*w - w - 5*b, 0 = -5*w - b - 13. Let y(x) = -2 + x + 1 + 0 - 3*x. Calculate y(w).\n' | b'3\n' | b'Suppose 23 = -3*w - w - 5*b, 0 = -5*w - b - 13. Let y(x) = -2 + x + 1 + 0 - 3*x. Calculate y(w).\n' | b'3\n' | deepmind/math_dataset |
b'Let h be (-4 - -9 - 3) + 9. Suppose 0 = -3*f + 5*o - h, f + 1 + 4 = 2*o. Solve 3*d - 6 = f*r, 2*r - 2*d = r - 2 for r.\n' | b'-2\n' | b'Let h be (-4 - -9 - 3) + 9. Suppose 0 = -3*f + 5*o - h, f + 1 + 4 = 2*o. Solve 3*d - 6 = f*r, 2*r - 2*d = r - 2 for r.\n' | b'-2\n' | deepmind/math_dataset |
b'Let r(n) = -n. Let a(j) = 10*j + 4. Let p(o) = a(o) + 12*r(o). Calculate p(4).\n' | b'-4\n' | b'Let r(n) = -n. Let a(j) = 10*j + 4. Let p(o) = a(o) + 12*r(o). Calculate p(4).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 5*q - 10 = d, d - 14 - 12 = -4*q. Find the second derivative of -d + 0*a**5 - 3*a + 10 + a**5 wrt a.\n' | b'20*a**3\n' | b'Suppose 5*q - 10 = d, d - 14 - 12 = -4*q. Find the second derivative of -d + 0*a**5 - 3*a + 10 + a**5 wrt a.\n' | b'20*a**3\n' | deepmind/math_dataset |
b'Simplify ((b/((b*b/(b**0*b))/b*b)*b**(-1))/(b/b**(-2/15)*b**(1/6)))/((b**(2/9))**(-22))**(-2/7) assuming b is positive.\n' | b'b**(-2329/630)\n' | b'Simplify ((b/((b*b/(b**0*b))/b*b)*b**(-1))/(b/b**(-2/15)*b**(1/6)))/((b**(2/9))**(-22))**(-2/7) assuming b is positive.\n' | b'b**(-2329/630)\n' | deepmind/math_dataset |
b'Simplify ((b**(-2/3))**(34/3))**(-42)/((((b**(-3)*b)/b*b*b)/b)/b*b**5/b)**(14/9) assuming b is positive.\n' | b'b**(2842/9)\n' | b'Simplify ((b**(-2/3))**(34/3))**(-42)/((((b**(-3)*b)/b*b*b)/b)/b*b**5/b)**(14/9) assuming b is positive.\n' | b'b**(2842/9)\n' | deepmind/math_dataset |
b'Let a(i) = 3*i**2 + 1. Let h = -3 + 4. Let r be a(h). Suppose -r*d + 8 = -0*d. Solve -15 + 3 = c - d*b, 12 = -4*c - b for c.\n' | b'-4\n' | b'Let a(i) = 3*i**2 + 1. Let h = -3 + 4. Let r be a(h). Suppose -r*d + 8 = -0*d. Solve -15 + 3 = c - d*b, 12 = -4*c - b for c.\n' | b'-4\n' | deepmind/math_dataset |
b'Let m(y) = -y**2 + 6*y - 3. Let l(t) = -t**3 + 15*t**2 + 16*t + 6. Let k be l(16). Give m(k).\n' | b'-3\n' | b'Let m(y) = -y**2 + 6*y - 3. Let l(t) = -t**3 + 15*t**2 + 16*t + 6. Let k be l(16). Give m(k).\n' | b'-3\n' | deepmind/math_dataset |
b'Let o be (-266)/(-38) - 8/(-1). Solve -4*w - o = -5*c, -3*w + 0*w - 17 = 2*c for w.\n' | b'-5\n' | b'Let o be (-266)/(-38) - 8/(-1). Solve -4*w - o = -5*c, -3*w + 0*w - 17 = 2*c for w.\n' | b'-5\n' | deepmind/math_dataset |
b'Let f(v) be the third derivative of -v**5/60 + v**4/6 + 5*v**3/6 - v**2. What is f(5)?\n' | b'0\n' | b'Let f(v) be the third derivative of -v**5/60 + v**4/6 + 5*v**3/6 - v**2. What is f(5)?\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 1, w: 13, b: 3, i: 2, j: 1}. What is prob of picking 1 i and 1 j?\n' | b'1/95\n' | b'Two letters picked without replacement from {k: 1, w: 13, b: 3, i: 2, j: 1}. What is prob of picking 1 i and 1 j?\n' | b'1/95\n' | deepmind/math_dataset |
b'Suppose -6*p + 9*p - 51 = 0. Solve 5*z = -2*n - p - 14, -n = 3 for z.\n' | b'-5\n' | b'Suppose -6*p + 9*p - 51 = 0. Solve 5*z = -2*n - p - 14, -n = 3 for z.\n' | b'-5\n' | deepmind/math_dataset |
b'Let o = 6 + 3. Let r(f) = 17*f**2 - 7*f + 5. Let y be r(2). Let i = y + -55. Solve -20 = 4*t, o*u - t = i*u + 15 for u.\n' | b'2\n' | b'Let o = 6 + 3. Let r(f) = 17*f**2 - 7*f + 5. Let y be r(2). Let i = y + -55. Solve -20 = 4*t, o*u - t = i*u + 15 for u.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 4 l when four letters picked without replacement from {l: 5, x: 7}?\n' | b'1/99\n' | b'What is prob of picking 4 l when four letters picked without replacement from {l: 5, x: 7}?\n' | b'1/99\n' | deepmind/math_dataset |
b'What is prob of sequence mct when three letters picked without replacement from {k: 2, c: 9, m: 1, t: 1}?\n' | b'3/572\n' | b'What is prob of sequence mct when three letters picked without replacement from {k: 2, c: 9, m: 1, t: 1}?\n' | b'3/572\n' | deepmind/math_dataset |
b'Simplify ((x**30/x)/(x*x**(1/9)*x*x))**25 assuming x is positive.\n' | b'x**(5825/9)\n' | b'Simplify ((x**30/x)/(x*x**(1/9)*x*x))**25 assuming x is positive.\n' | b'x**(5825/9)\n' | deepmind/math_dataset |
b'Suppose -44 = 4*w - 4*o, -4*w = o - 9 + 28. Let b(m) = -m**2 - 8*m - 7. What is b(w)?\n' | b'5\n' | b'Suppose -44 = 4*w - 4*o, -4*w = o - 9 + 28. Let b(m) = -m**2 - 8*m - 7. What is b(w)?\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v, 1 k, and 1 s when three letters picked without replacement from {s: 2, b: 8, d: 1, v: 2, k: 1}.\n' | b'1/91\n' | b'Calculate prob of picking 1 v, 1 k, and 1 s when three letters picked without replacement from {s: 2, b: 8, d: 1, v: 2, k: 1}.\n' | b'1/91\n' | deepmind/math_dataset |
b'Let h be 9*(-1 - (-1 - -1)). Let s = 10 + h. Let c(k) = -8*k**3 + 2*k - 1. Let n(a) = 8*a**3 - 2*a + 1. Let f(w) = -2*c(w) - 3*n(w). Give f(s).\n' | b'-7\n' | b'Let h be 9*(-1 - (-1 - -1)). Let s = 10 + h. Let c(k) = -8*k**3 + 2*k - 1. Let n(a) = 8*a**3 - 2*a + 1. Let f(w) = -2*c(w) - 3*n(w). Give f(s).\n' | b'-7\n' | deepmind/math_dataset |
b'Let i(t) = t**3 - 9*t**2 + 7*t + 9. Suppose 14*d - 34 = 11*d + 5*q, -5*d = -4*q - 48. Give i(d).\n' | b'1\n' | b'Let i(t) = t**3 - 9*t**2 + 7*t + 9. Suppose 14*d - 34 = 11*d + 5*q, -5*d = -4*q - 48. Give i(d).\n' | b'1\n' | deepmind/math_dataset |
b'Let i be (-2)/4*17*-6. Suppose -5*a + 49 = -m - 12, i = 4*a - 3*m. Find the third derivative of -3*b**3 - a + b**2 + 12 wrt b.\n' | b'-18\n' | b'Let i be (-2)/4*17*-6. Suppose -5*a + 49 = -m - 12, i = 4*a - 3*m. Find the third derivative of -3*b**3 - a + b**2 + 12 wrt b.\n' | b'-18\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pppipiipii. What is prob of picking 3 i?\n' | b'1/12\n' | b'Three letters picked without replacement from pppipiipii. What is prob of picking 3 i?\n' | b'1/12\n' | deepmind/math_dataset |
b'Let t(l) be the first derivative of -l**4/2 - 2*l**3/3 + 3*l**2/2 + 3*l - 3. Let z(a) = a**3 - 15*a**2 + 14*a - 2. Let q be z(14). Give t(q).\n' | b'5\n' | b'Let t(l) be the first derivative of -l**4/2 - 2*l**3/3 + 3*l**2/2 + 3*l - 3. Let z(a) = a**3 - 15*a**2 + 14*a - 2. Let q be z(14). Give t(q).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((d*d/d**(3/2))/d)**5*d**12*d/(d/(d**(-2/15)/d))*d assuming d is positive.\n' | b'd**(281/30)\n' | b'Simplify ((d*d/d**(3/2))/d)**5*d**12*d/(d/(d**(-2/15)/d))*d assuming d is positive.\n' | b'd**(281/30)\n' | deepmind/math_dataset |
b'Let b be 10/4*(-56)/(-35). Suppose 0 = -b*v - 2 - 70. Let x = -13 - v. Solve 4*i + 18 = -4*d + x*d, -2*i = 4*d for i.\n' | b'-4\n' | b'Let b be 10/4*(-56)/(-35). Suppose 0 = -b*v - 2 - 70. Let x = -13 - v. Solve 4*i + 18 = -4*d + x*d, -2*i = 4*d for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Let g = -5 + 13. Let d(b) = b**3 + 28*b**2 + 62*b - 2. Let h be d(-25). Let i = h + -317. Solve 4*r - o = 2, -r + g = -i*o + 2*o for r.\n' | b'0\n' | b'Let g = -5 + 13. Let d(b) = b**3 + 28*b**2 + 62*b - 2. Let h be d(-25). Let i = h + -317. Solve 4*r - o = 2, -r + g = -i*o + 2*o for r.\n' | b'0\n' | deepmind/math_dataset |
b'Let b be (-4)/(-1) - (5 - 3). Let d be 2/7 + (-66)/(-14). Solve -d*k - 14 = 3*y, -13 = b*y + 2*y + k for y.\n' | b'-3\n' | b'Let b be (-4)/(-1) - (5 - 3). Let d be 2/7 + (-66)/(-14). Solve -d*k - 14 = 3*y, -13 = b*y + 2*y + k for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Let u = -2 - -2. What is the derivative of 13 - x + 4*x + u*x - x wrt x?\n' | b'2\n' | b'Let u = -2 - -2. What is the derivative of 13 - x + 4*x + u*x - x wrt x?\n' | b'2\n' | deepmind/math_dataset |
b'Let g = 4488 + -4494. Let i(c) = -2*c**2 - 13*c. Determine i(g).\n' | b'6\n' | b'Let g = 4488 + -4494. Let i(c) = -2*c**2 - 13*c. Determine i(g).\n' | b'6\n' | deepmind/math_dataset |
b'Let y = -137 - 25. Let j = y - -164. Solve 0 = 4*u + j*d - 8, d = -4*u + 5 - 1 for u.\n' | b'0\n' | b'Let y = -137 - 25. Let j = y - -164. Solve 0 = 4*u + j*d - 8, d = -4*u + 5 - 1 for u.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j and 2 w when three letters picked without replacement from jjjjjjwjjjjjjjjjwjj.\n' | b'1/57\n' | b'Calculate prob of picking 1 j and 2 w when three letters picked without replacement from jjjjjjwjjjjjjjjjwjj.\n' | b'1/57\n' | deepmind/math_dataset |
b'Let u(d) be the first derivative of 9*d**3 + 0*d**2 + 2 + 1/2*d**4 - 109*d. What is the first derivative of u(r) wrt r?\n' | b'6*r**2 + 54*r\n' | b'Let u(d) be the first derivative of 9*d**3 + 0*d**2 + 2 + 1/2*d**4 - 109*d. What is the first derivative of u(r) wrt r?\n' | b'6*r**2 + 54*r\n' | deepmind/math_dataset |
b'Simplify ((f/f**(-2/43))/f)/f**(-27/7) assuming f is positive.\n' | b'f**(1175/301)\n' | b'Simplify ((f/f**(-2/43))/f)/f**(-27/7) assuming f is positive.\n' | b'f**(1175/301)\n' | deepmind/math_dataset |
b'Let t be -1 - 2/(-4)*0. Let y be (-1 - (-5 - -1)) + t. Let w be (18/63*-7)/((-4)/6). Solve -4*l - 1 = 3*j, -y*j = -w*j - 4*l - 11 for j.\n' | b'5\n' | b'Let t be -1 - 2/(-4)*0. Let y be (-1 - (-5 - -1)) + t. Let w be (18/63*-7)/((-4)/6). Solve -4*l - 1 = 3*j, -y*j = -w*j - 4*l - 11 for j.\n' | b'5\n' | deepmind/math_dataset |
b'What is the second derivative of 35*m**5 + 174*m**5 + 0 + 1 - 308*m - 74*m wrt m?\n' | b'4180*m**3\n' | b'What is the second derivative of 35*m**5 + 174*m**5 + 0 + 1 - 308*m - 74*m wrt m?\n' | b'4180*m**3\n' | deepmind/math_dataset |
b'Suppose -5*j - j + 24294 = 0. Find the third derivative of j*r + 46*r**4 - 16*r**2 - 4049*r wrt r.\n' | b'1104*r\n' | b'Suppose -5*j - j + 24294 = 0. Find the third derivative of j*r + 46*r**4 - 16*r**2 - 4049*r wrt r.\n' | b'1104*r\n' | deepmind/math_dataset |
b'Let j(r) = 5*r + 3*r - 7 - 1 - 5*r. Let n = 20 - 46. Let s = n - -33. Determine j(s).\n' | b'13\n' | b'Let j(r) = 5*r + 3*r - 7 - 1 - 5*r. Let n = 20 - 46. Let s = n - -33. Determine j(s).\n' | b'13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 1, k: 1, o: 1, l: 1, x: 1}. What is prob of sequence kd?\n' | b'1/20\n' | b'Two letters picked without replacement from {d: 1, k: 1, o: 1, l: 1, x: 1}. What is prob of sequence kd?\n' | b'1/20\n' | deepmind/math_dataset |
b'Simplify (((h*((h/(((h*h**(-31)*h)/h)/h*h))/h)/h)/h)/(h*(h/h**(2/37))/h))/((h/(h/(h*(h*h**35*h)/h)))/h)**0 assuming h is positive.\n' | b'h**(1038/37)\n' | b'Simplify (((h*((h/(((h*h**(-31)*h)/h)/h*h))/h)/h)/h)/(h*(h/h**(2/37))/h))/((h/(h/(h*(h*h**35*h)/h)))/h)**0 assuming h is positive.\n' | b'h**(1038/37)\n' | deepmind/math_dataset |
b'What is prob of picking 1 n and 2 r when three letters picked without replacement from {c: 1, z: 6, n: 1, r: 8}?\n' | b'1/20\n' | b'What is prob of picking 1 n and 2 r when three letters picked without replacement from {c: 1, z: 6, n: 1, r: 8}?\n' | b'1/20\n' | deepmind/math_dataset |
b'Simplify (a**(-17)/(a*a/a**11*a))**(-1/3) assuming a is positive.\n' | b'a**3\n' | b'Simplify (a**(-17)/(a*a/a**11*a))**(-1/3) assuming a is positive.\n' | b'a**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from krmrrmrrrrrmkkmm. What is prob of sequence mmr?\n' | b'1/21\n' | b'Three letters picked without replacement from krmrrmrrrrrmkkmm. What is prob of sequence mmr?\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (g/(g/(g*g/(g/g**(-1/11)*g*g))))**(-3)*(g*g*g*g**(2/7)*g)**48 assuming g is positive.\n' | b'g**(16092/77)\n' | b'Simplify (g/(g/(g*g/(g/g**(-1/11)*g*g))))**(-3)*(g*g*g*g**(2/7)*g)**48 assuming g is positive.\n' | b'g**(16092/77)\n' | deepmind/math_dataset |
b'Let l(m) = m**2 + 3*m + 3. Let d(q) = q**3 + 3*q**2 - 5*q - 1. Let g be d(-4). Suppose g*o - o = -12. Let p = o + 3. Calculate l(p).\n' | b'3\n' | b'Let l(m) = m**2 + 3*m + 3. Let d(q) = q**3 + 3*q**2 - 5*q - 1. Let g be d(-4). Suppose g*o - o = -12. Let p = o + 3. Calculate l(p).\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 6, j: 3, l: 7, k: 1, a: 2}. What is prob of sequence ma?\n' | b'2/57\n' | b'Two letters picked without replacement from {m: 6, j: 3, l: 7, k: 1, a: 2}. What is prob of sequence ma?\n' | b'2/57\n' | deepmind/math_dataset |
b'Let g(m) be the first derivative of -28 + 8*m**2 + 1/3*m**3 - 49/2*m**4 + 0*m. Find the third derivative of g(u) wrt u.\n' | b'-588\n' | b'Let g(m) be the first derivative of -28 + 8*m**2 + 1/3*m**3 - 49/2*m**4 + 0*m. Find the third derivative of g(u) wrt u.\n' | b'-588\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 2, j: 2, d: 4, u: 1}. What is prob of picking 1 d, 1 u, and 1 j?\n' | b'2/21\n' | b'Three letters picked without replacement from {h: 2, j: 2, d: 4, u: 1}. What is prob of picking 1 d, 1 u, and 1 j?\n' | b'2/21\n' | deepmind/math_dataset |
b'Suppose 4*s - 4*j - 14 = -6*j, -4*s = j - 13. Suppose 2*r - 4*r + 2 = s*k, r = -4*k + 6. Solve -4*o - i - k = 2, 0 = o + 2*i + 1 for o.\n' | b'-1\n' | b'Suppose 4*s - 4*j - 14 = -6*j, -4*s = j - 13. Suppose 2*r - 4*r + 2 = s*k, r = -4*k + 6. Solve -4*o - i - k = 2, 0 = o + 2*i + 1 for o.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence lymy when four letters picked without replacement from {l: 3, z: 1, m: 3, y: 3}.\n' | b'3/280\n' | b'Calculate prob of sequence lymy when four letters picked without replacement from {l: 3, z: 1, m: 3, y: 3}.\n' | b'3/280\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.