question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Simplify (u**(6/5)/u)/u*u**(-2/83) assuming u is positive.\n' | b'u**(-342/415)\n' | b'Simplify (u**(6/5)/u)/u*u**(-2/83) assuming u is positive.\n' | b'u**(-342/415)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {e: 5, w: 2, m: 2}. What is prob of sequence mwwe?\n' | b'5/756\n' | b'Four letters picked without replacement from {e: 5, w: 2, m: 2}. What is prob of sequence mwwe?\n' | b'5/756\n' | deepmind/math_dataset |
b'Suppose 2*n = 2 - 0. Solve -3*m = 3*y + 3, -4*y - 3*m - 4 = -n for y.\n' | b'0\n' | b'Suppose 2*n = 2 - 0. Solve -3*m = 3*y + 3, -4*y - 3*m - 4 = -n for y.\n' | b'0\n' | deepmind/math_dataset |
b'Let w(m) = -m**3 + 4*m**2 + 20*m - 3. Let k be w(7). Let l(f) = f**3 + 8*f**2 - 19*f + 14. Let j be l(k). Solve 4*g + 2*z = 5*z + 17, 14 = j*g - 2*z for g.\n' | b'2\n' | b'Let w(m) = -m**3 + 4*m**2 + 20*m - 3. Let k be w(7). Let l(f) = f**3 + 8*f**2 - 19*f + 14. Let j be l(k). Solve 4*g + 2*z = 5*z + 17, 14 = j*g - 2*z for g.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 9, v: 1, d: 6, c: 1, h: 2}. What is prob of picking 2 x, 1 h, and 1 d?\n' | b'36/323\n' | b'Four letters picked without replacement from {x: 9, v: 1, d: 6, c: 1, h: 2}. What is prob of picking 2 x, 1 h, and 1 d?\n' | b'36/323\n' | deepmind/math_dataset |
b'Let z = -4221 + 4236. Solve 3*y = 3*k + z, -12 = k - 10 for y.\n' | b'3\n' | b'Let z = -4221 + 4236. Solve 3*y = 3*k + z, -12 = k - 10 for y.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 0 = 18*f - 56 + 110. Let p(z) = z**3 + 2*z**2 + 5*z + 4. Calculate p(f).\n' | b'-20\n' | b'Suppose 0 = 18*f - 56 + 110. Let p(z) = z**3 + 2*z**2 + 5*z + 4. Calculate p(f).\n' | b'-20\n' | deepmind/math_dataset |
b'Let m(z) = 3*z**2 + 2*z + 1. Let f be m(-1). Find the third derivative of x**5 - 3*x**5 - 5*x**5 + f*x**5 - x**2 wrt x.\n' | b'-300*x**2\n' | b'Let m(z) = 3*z**2 + 2*z + 1. Let f be m(-1). Find the third derivative of x**5 - 3*x**5 - 5*x**5 + f*x**5 - x**2 wrt x.\n' | b'-300*x**2\n' | deepmind/math_dataset |
b'Simplify r/(r/(r*r*r**4/r)*r)*r/(r/r**(-2/7)) assuming r is positive.\n' | b'r**(26/7)\n' | b'Simplify r/(r/(r*r*r**4/r)*r)*r/(r/r**(-2/7)) assuming r is positive.\n' | b'r**(26/7)\n' | deepmind/math_dataset |
b'Let a be (11 + -23)*(-15)/6. Solve -5*j - 3*k + a = 2*k, 2*k = 2*j - 4 for j.\n' | b'4\n' | b'Let a be (11 + -23)*(-15)/6. Solve -5*j - 3*k + a = 2*k, 2*k = 2*j - 4 for j.\n' | b'4\n' | deepmind/math_dataset |
b'Let a(b) be the first derivative of -3/2*b**2 - 1/4*b**4 + 5*b - 2*b**3 + 6. Let g(y) = -y**2 + 9*y + 5. Let k be g(10). Give a(k).\n' | b'-5\n' | b'Let a(b) be the first derivative of -3/2*b**2 - 1/4*b**4 + 5*b - 2*b**3 + 6. Let g(y) = -y**2 + 9*y + 5. Let k be g(10). Give a(k).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((w/w**(-5))/w**(1/11))/(w**(-1/2))**(-18) assuming w is positive.\n' | b'w**(-34/11)\n' | b'Simplify ((w/w**(-5))/w**(1/11))/(w**(-1/2))**(-18) assuming w is positive.\n' | b'w**(-34/11)\n' | deepmind/math_dataset |
b'Suppose 0 = -0*m + m. Suppose 12 = 5*u - 8. What is the second derivative of 0*a - a**u - 4*a + m*a**4 - a**4 wrt a?\n' | b'-24*a**2\n' | b'Suppose 0 = -0*m + m. Suppose 12 = 5*u - 8. What is the second derivative of 0*a - a**u - 4*a + m*a**4 - a**4 wrt a?\n' | b'-24*a**2\n' | deepmind/math_dataset |
b'Let p be 21/7 - 4/((-8)/(-6)). Solve s + v + p*v - 3 = 0, -3*v + 17 = 5*s for s.\n' | b'4\n' | b'Let p be 21/7 - 4/((-8)/(-6)). Solve s + v + p*v - 3 = 0, -3*v + 17 = 5*s for s.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 2 o when three letters picked without replacement from {o: 2, n: 7, m: 1}.\n' | b'1/120\n' | b'Calculate prob of picking 1 m and 2 o when three letters picked without replacement from {o: 2, n: 7, m: 1}.\n' | b'1/120\n' | deepmind/math_dataset |
b'Find the first derivative of 6172 + 3742*f**4 + 7957948*f**2 - 7957948*f**2 wrt f.\n' | b'14968*f**3\n' | b'Find the first derivative of 6172 + 3742*f**4 + 7957948*f**2 - 7957948*f**2 wrt f.\n' | b'14968*f**3\n' | deepmind/math_dataset |
b'Let g be 8/28 + 246/21. Suppose 5*n - x - g = 0, 9 = 2*n - 4*n + 5*x. Suppose -n*k = -k - 8. Solve 0 = -k*t + 2*h - 22, -5*t + 3 = -t + 3*h for t.\n' | b'-3\n' | b'Let g be 8/28 + 246/21. Suppose 5*n - x - g = 0, 9 = 2*n - 4*n + 5*x. Suppose -n*k = -k - 8. Solve 0 = -k*t + 2*h - 22, -5*t + 3 = -t + 3*h for t.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e, 2 z, and 1 h when four letters picked without replacement from {o: 4, s: 1, h: 1, e: 1, z: 2}.\n' | b'1/126\n' | b'Calculate prob of picking 1 e, 2 z, and 1 h when four letters picked without replacement from {o: 4, s: 1, h: 1, e: 1, z: 2}.\n' | b'1/126\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 2, g: 2, z: 1, e: 1}. What is prob of sequence egg?\n' | b'1/60\n' | b'Three letters picked without replacement from {y: 2, g: 2, z: 1, e: 1}. What is prob of sequence egg?\n' | b'1/60\n' | deepmind/math_dataset |
b'Suppose 9 = -3*g - 3*k, -1 + 3 = -4*g - 2*k. Let b be -1*(3 + (-12 - g)). Let s(q) = -q**2 + q**3 + 3 - 2*q**2 + 10*q - b*q. What is s(3)?\n' | b'0\n' | b'Suppose 9 = -3*g - 3*k, -1 + 3 = -4*g - 2*k. Let b be -1*(3 + (-12 - g)). Let s(q) = -q**2 + q**3 + 3 - 2*q**2 + 10*q - b*q. What is s(3)?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((h*h/(h**1/h))**(-15)*h/(h/(h*h*h**(-2/5)))*h*h**(-5))/((h/(h*h*h*h**4)*h*h*h**(-2/3))/(h**6/(h**(-5)*h))) assuming h is positive.\n' | b'h**(-266/15)\n' | b'Simplify ((h*h/(h**1/h))**(-15)*h/(h/(h*h*h**(-2/5)))*h*h**(-5))/((h/(h*h*h*h**4)*h*h*h**(-2/3))/(h**6/(h**(-5)*h))) assuming h is positive.\n' | b'h**(-266/15)\n' | deepmind/math_dataset |
b'Simplify (w/w**(-1/12))/(w*w**(1/10))*(w*w**1)/((w*w**(-2/59)*w)/w) assuming w is positive.\n' | b'w**(3601/3540)\n' | b'Simplify (w/w**(-1/12))/(w*w**(1/10))*(w*w**1)/((w*w**(-2/59)*w)/w) assuming w is positive.\n' | b'w**(3601/3540)\n' | deepmind/math_dataset |
b'Suppose 3*z + 2*f = -0*z + 12, 3*f - 15 = -3*z. Suppose -d + 3 = 0, 5*c = d - z*d + 38. Let i(t) = -t**2 + 0*t**2 + 6*t - c + 3. Calculate i(3).\n' | b'5\n' | b'Suppose 3*z + 2*f = -0*z + 12, 3*f - 15 = -3*z. Suppose -d + 3 = 0, 5*c = d - z*d + 38. Let i(t) = -t**2 + 0*t**2 + 6*t - c + 3. Calculate i(3).\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence dro when three letters picked without replacement from dhocrraa?\n' | b'1/168\n' | b'What is prob of sequence dro when three letters picked without replacement from dhocrraa?\n' | b'1/168\n' | deepmind/math_dataset |
b'Simplify (k**27/k)**(1/36) assuming k is positive.\n' | b'k**(13/18)\n' | b'Simplify (k**27/k)**(1/36) assuming k is positive.\n' | b'k**(13/18)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mydtmtyyyrmllyyytyy. Give prob of sequence tdt.\n' | b'1/969\n' | b'Three letters picked without replacement from mydtmtyyyrmllyyytyy. Give prob of sequence tdt.\n' | b'1/969\n' | deepmind/math_dataset |
b'Let b(p) = -2*p**3 + 11*p**2 + p - 1. Let s(d) = d**3 + d - 1. Let a(c) = -b(c) + s(c). What is the third derivative of a(r) wrt r?\n' | b'18\n' | b'Let b(p) = -2*p**3 + 11*p**2 + p - 1. Let s(d) = d**3 + d - 1. Let a(c) = -b(c) + s(c). What is the third derivative of a(r) wrt r?\n' | b'18\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {s: 2, n: 2, l: 1}.\n' | b'1/5\n' | b'Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {s: 2, n: 2, l: 1}.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let l(m) = 8*m**2 - 8*m - 3. Let u = -15115 - -15112. Give l(u).\n' | b'93\n' | b'Let l(m) = 8*m**2 - 8*m - 3. Let u = -15115 - -15112. Give l(u).\n' | b'93\n' | deepmind/math_dataset |
b'Simplify (((x/(x/x**(-1/4)))/x)/x**6)**(-25) assuming x is positive.\n' | b'x**(725/4)\n' | b'Simplify (((x/(x/x**(-1/4)))/x)/x**6)**(-25) assuming x is positive.\n' | b'x**(725/4)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ntn. What is prob of sequence nt?\n' | b'1/3\n' | b'Two letters picked without replacement from ntn. What is prob of sequence nt?\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify (k*k**26*k)**(-4/15) assuming k is positive.\n' | b'k**(-112/15)\n' | b'Simplify (k*k**26*k)**(-4/15) assuming k is positive.\n' | b'k**(-112/15)\n' | deepmind/math_dataset |
b'Simplify ((((s*((s/((s/((s/(s/s**(-1/2))*s)/s))/s))/s*s)/s)/s)/s)**(-29)*(s**(-1)*s)**(-2/47))**(-41) assuming s is positive.\n' | b's**(-3567/2)\n' | b'Simplify ((((s*((s/((s/((s/(s/s**(-1/2))*s)/s))/s))/s*s)/s)/s)/s)**(-29)*(s**(-1)*s)**(-2/47))**(-41) assuming s is positive.\n' | b's**(-3567/2)\n' | deepmind/math_dataset |
b'Let k(z) = -z**3 + 5*z**2 - 5*z + 6. Let t be k(4). Let g(s) = 2 - 3 + s**2 - 2*s**2 + 3*s**t. Calculate g(-2).\n' | b'7\n' | b'Let k(z) = -z**3 + 5*z**2 - 5*z + 6. Let t be k(4). Let g(s) = 2 - 3 + s**2 - 2*s**2 + 3*s**t. Calculate g(-2).\n' | b'7\n' | deepmind/math_dataset |
b'Suppose 0 = -5*m - 4*m + 36. Solve 0*o = s + o + 3, s + 9 = -m*o for s.\n' | b'-1\n' | b'Suppose 0 = -5*m - 4*m + 36. Solve 0*o = s + o + 3, s + 9 = -m*o for s.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gggggggggg. What is prob of sequence gg?\n' | b'1\n' | b'Two letters picked without replacement from gggggggggg. What is prob of sequence gg?\n' | b'1\n' | deepmind/math_dataset |
b'Let c be 12/(-42) + 32/14. Solve 2*j + 2*j = n - c, 3*j + 6 = 3*n for n.\n' | b'2\n' | b'Let c be 12/(-42) + 32/14. Solve 2*j + 2*j = n - c, 3*j + 6 = 3*n for n.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vvvvvvvvvvvh. Give prob of picking 1 h and 1 v.\n' | b'1/6\n' | b'Two letters picked without replacement from vvvvvvvvvvvh. Give prob of picking 1 h and 1 v.\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify ((f**(1/3)/f)**38)**(4/7) assuming f is positive.\n' | b'f**(-304/21)\n' | b'Simplify ((f**(1/3)/f)**38)**(4/7) assuming f is positive.\n' | b'f**(-304/21)\n' | deepmind/math_dataset |
b'Let q(c) = -1. Let u(a) = -a - 3. Let o(n) = -5*q(n) + u(n). Suppose 127*x - 146*x = 0. Determine o(x).\n' | b'2\n' | b'Let q(c) = -1. Let u(a) = -a - 3. Let o(n) = -5*q(n) + u(n). Suppose 127*x - 146*x = 0. Determine o(x).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 2 c when two letters picked without replacement from {c: 2, w: 4}?\n' | b'1/15\n' | b'What is prob of picking 2 c when two letters picked without replacement from {c: 2, w: 4}?\n' | b'1/15\n' | deepmind/math_dataset |
b'Calculate prob of sequence sf when two letters picked without replacement from fifs.\n' | b'1/6\n' | b'Calculate prob of sequence sf when two letters picked without replacement from fifs.\n' | b'1/6\n' | deepmind/math_dataset |
b'Suppose -2*o - 4*t = -16, o - 5*t + 4*t = -4. Suppose 9*k - 4*k - 305 = o. Let r = 67 - k. Solve -3*w = 2*f + r, 0 = -w + 4*w - 2*f - 6 for w.\n' | b'0\n' | b'Suppose -2*o - 4*t = -16, o - 5*t + 4*t = -4. Suppose 9*k - 4*k - 305 = o. Let r = 67 - k. Solve -3*w = 2*f + r, 0 = -w + 4*w - 2*f - 6 for w.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (z/(z*z**(-7/3))*z/z**(-1/12))/(z*z/((z**(-2/13)*z)/z)*z*z**(1/5)) assuming z is positive.\n' | b'z**(49/780)\n' | b'Simplify (z/(z*z**(-7/3))*z/z**(-1/12))/(z*z/((z**(-2/13)*z)/z)*z*z**(1/5)) assuming z is positive.\n' | b'z**(49/780)\n' | deepmind/math_dataset |
b'Let a(z) = z**2 - z - 1. Suppose 7 = 2*c + 1. Let q be a(c). Solve 5*n + 6 - 31 = -2*j, q*j = n - 5 for n.\n' | b'5\n' | b'Let a(z) = z**2 - z - 1. Suppose 7 = 2*c + 1. Let q be a(c). Solve 5*n + 6 - 31 = -2*j, q*j = n - 5 for n.\n' | b'5\n' | deepmind/math_dataset |
b'Let z(r) be the first derivative of -4*r**2 + 0*r**3 - 2 + 0*r + 0*r**5 + 1/3*r**6 + 0*r**4. What is the second derivative of z(a) wrt a?\n' | b'40*a**3\n' | b'Let z(r) be the first derivative of -4*r**2 + 0*r**3 - 2 + 0*r + 0*r**5 + 1/3*r**6 + 0*r**4. What is the second derivative of z(a) wrt a?\n' | b'40*a**3\n' | deepmind/math_dataset |
b'Suppose 11*n = 12*n - 4*l + 17, -2*l = 2*n - 16. Solve n*d + 4*h = -20, 0 = 2*d + 5*h - 9*h for d.\n' | b'-4\n' | b'Suppose 11*n = 12*n - 4*l + 17, -2*l = 2*n - 16. Solve n*d + 4*h = -20, 0 = 2*d + 5*h - 9*h for d.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {a: 5, e: 2, f: 4}.\n' | b'4/11\n' | b'Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {a: 5, e: 2, f: 4}.\n' | b'4/11\n' | deepmind/math_dataset |
b'Suppose 2*k - 8 + 4 = 0. What is the third derivative of -n**5 + 0*n**2 - 2*n**2 + 7*n**k + 2*n**5 wrt n?\n' | b'60*n**2\n' | b'Suppose 2*k - 8 + 4 = 0. What is the third derivative of -n**5 + 0*n**2 - 2*n**2 + 7*n**k + 2*n**5 wrt n?\n' | b'60*n**2\n' | deepmind/math_dataset |
b'What is the third derivative of -4*w**6 + 3*w**2 - 90 + 90 wrt w?\n' | b'-480*w**3\n' | b'What is the third derivative of -4*w**6 + 3*w**2 - 90 + 90 wrt w?\n' | b'-480*w**3\n' | deepmind/math_dataset |
b'Simplify (((c**11/c)/((c/c**(28/9)*c*c)/c*c*c))**(-2/39))**(-10/9) assuming c is positive.\n' | b'c**(1640/3159)\n' | b'Simplify (((c**11/c)/((c/c**(28/9)*c*c)/c*c*c))**(-2/39))**(-10/9) assuming c is positive.\n' | b'c**(1640/3159)\n' | deepmind/math_dataset |
b'What is prob of sequence opoi when four letters picked without replacement from pooomppioop?\n' | b'1/99\n' | b'What is prob of sequence opoi when four letters picked without replacement from pooomppioop?\n' | b'1/99\n' | deepmind/math_dataset |
b'Simplify (r**(-2/7)/(r/(r**(-1/5)/r)))**46/((r**(-2/7)/r)**(-4/5)*(r*r*r**1*r)/r**6) assuming r is positive.\n' | b'r**(-3968/35)\n' | b'Simplify (r**(-2/7)/(r/(r**(-1/5)/r)))**46/((r**(-2/7)/r)**(-4/5)*(r*r*r**1*r)/r**6) assuming r is positive.\n' | b'r**(-3968/35)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y and 1 t when two letters picked without replacement from ybt.\n' | b'1/3\n' | b'Calculate prob of picking 1 y and 1 t when two letters picked without replacement from ybt.\n' | b'1/3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xxkxnkxxnnkkxnkninl. What is prob of sequence ixnx?\n' | b'5/2584\n' | b'Four letters picked without replacement from xxkxnkxxnnkkxnkninl. What is prob of sequence ixnx?\n' | b'5/2584\n' | deepmind/math_dataset |
b'Simplify (y**(2/3))**(-20/3)*(y/y**5)/y*y**6*(y**(-6)/y**(-2))**(1/8) assuming y is positive.\n' | b'y**(-71/18)\n' | b'Simplify (y**(2/3))**(-20/3)*(y/y**5)/y*y**6*(y**(-6)/y**(-2))**(1/8) assuming y is positive.\n' | b'y**(-71/18)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 11, u: 3, d: 2, x: 3}. What is prob of sequence xqd?\n' | b'11/969\n' | b'Three letters picked without replacement from {q: 11, u: 3, d: 2, x: 3}. What is prob of sequence xqd?\n' | b'11/969\n' | deepmind/math_dataset |
b'Calculate prob of sequence fpd when three letters picked without replacement from {d: 4, m: 1, s: 1, f: 5, p: 2, r: 7}.\n' | b'1/171\n' | b'Calculate prob of sequence fpd when three letters picked without replacement from {d: 4, m: 1, s: 1, f: 5, p: 2, r: 7}.\n' | b'1/171\n' | deepmind/math_dataset |
b'Let z(s) be the first derivative of s**5/10 + s**3/2 + s + 3. Let g(q) be the first derivative of z(q). Find the second derivative of g(y) wrt y.\n' | b'12*y\n' | b'Let z(s) be the first derivative of s**5/10 + s**3/2 + s + 3. Let g(q) be the first derivative of z(q). Find the second derivative of g(y) wrt y.\n' | b'12*y\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 2, q: 7, p: 4}. Give prob of sequence mqm.\n' | b'7/858\n' | b'Three letters picked without replacement from {m: 2, q: 7, p: 4}. Give prob of sequence mqm.\n' | b'7/858\n' | deepmind/math_dataset |
b'What is prob of sequence pppp when four letters picked without replacement from kppkkcppppkppppppkcp?\n' | b'143/969\n' | b'What is prob of sequence pppp when four letters picked without replacement from kppkkcppppkppppppkcp?\n' | b'143/969\n' | deepmind/math_dataset |
b'Simplify ((v/v**1)/(v*v**(4/3)*v))**(-45)/((v**(1/4)*v)**(-2/65)/((v/(v**1*v*v))/v**(-2/11))) assuming v is positive.\n' | b'v**(42391/286)\n' | b'Simplify ((v/v**1)/(v*v**(4/3)*v))**(-45)/((v**(1/4)*v)**(-2/65)/((v/(v**1*v*v))/v**(-2/11))) assuming v is positive.\n' | b'v**(42391/286)\n' | deepmind/math_dataset |
b'Let r(q) be the first derivative of -31*q**6/6 - 26*q**3/3 + 20. Find the third derivative of r(x) wrt x.\n' | b'-1860*x**2\n' | b'Let r(q) be the first derivative of -31*q**6/6 - 26*q**3/3 + 20. Find the third derivative of r(x) wrt x.\n' | b'-1860*x**2\n' | deepmind/math_dataset |
b'Simplify y/y**(-15)*y**(-2/25)*(y**(-2/7)*y)**(-13) assuming y is positive.\n' | b'y**(1161/175)\n' | b'Simplify y/y**(-15)*y**(-2/25)*(y**(-2/7)*y)**(-13) assuming y is positive.\n' | b'y**(1161/175)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rrxddxddxxrxd. Give prob of picking 2 r.\n' | b'1/26\n' | b'Two letters picked without replacement from rrxddxddxxrxd. Give prob of picking 2 r.\n' | b'1/26\n' | deepmind/math_dataset |
b'Suppose 5*v = 3*r + 4, 0 = 2*v + 4*r - 7 - 5. Solve h = m - 5, v*m - 25 = 6*h - h for m.\n' | b'0\n' | b'Suppose 5*v = 3*r + 4, 0 = 2*v + 4*r - 7 - 5. Solve h = m - 5, v*m - 25 = 6*h - h for m.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 1 s when two letters picked without replacement from wssmwssslwwsws.\n' | b'5/13\n' | b'Calculate prob of picking 1 w and 1 s when two letters picked without replacement from wssmwssslwwsws.\n' | b'5/13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 6, j: 4, u: 1, b: 3}. Give prob of sequence bu.\n' | b'3/182\n' | b'Two letters picked without replacement from {s: 6, j: 4, u: 1, b: 3}. Give prob of sequence bu.\n' | b'3/182\n' | deepmind/math_dataset |
b'Simplify (f**0/f)**(-34)*((f/f**(2/7))/f*f)**5 assuming f is positive.\n' | b'f**(263/7)\n' | b'Simplify (f**0/f)**(-34)*((f/f**(2/7))/f*f)**5 assuming f is positive.\n' | b'f**(263/7)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from rarauuzbua. What is prob of picking 1 a, 1 z, 1 r, and 1 u?\n' | b'3/35\n' | b'Four letters picked without replacement from rarauuzbua. What is prob of picking 1 a, 1 z, 1 r, and 1 u?\n' | b'3/35\n' | deepmind/math_dataset |
b'Suppose -65*w = -50*w - 60. Solve -10*v + 13*v = 4*x - 15, w*x = 4*v + 20 for v.\n' | b'-5\n' | b'Suppose -65*w = -50*w - 60. Solve -10*v + 13*v = 4*x - 15, w*x = 4*v + 20 for v.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 0 = -2*x - 5*q + 63 + 161, 5*q + 311 = 3*x. Find the third derivative of 104*g + 106*g + x*g - 4*g**2 - 56*g**3 - 13 - 317*g wrt g.\n' | b'-336\n' | b'Suppose 0 = -2*x - 5*q + 63 + 161, 5*q + 311 = 3*x. Find the third derivative of 104*g + 106*g + x*g - 4*g**2 - 56*g**3 - 13 - 317*g wrt g.\n' | b'-336\n' | deepmind/math_dataset |
b'Suppose -4*h + 4*d = -12, 3*d = 3*h - d - 7. Suppose -4*y - h = -5*y, 4*m = 4*y + 32. Solve 5*k = x - 2*x + m, -5*x = 5*k - 25 for x.\n' | b'3\n' | b'Suppose -4*h + 4*d = -12, 3*d = 3*h - d - 7. Suppose -4*y - h = -5*y, 4*m = 4*y + 32. Solve 5*k = x - 2*x + m, -5*x = 5*k - 25 for x.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -3*k = 4*w + 8, k + 10 = -w - 4*w. Suppose 0*m - 3 = -3*m. Let d(j) = 4*j**2 - j. Let o be d(m). Solve 20 = 5*l, -4*t - o*l + 8 = -k*t for t.\n' | b'-1\n' | b'Suppose -3*k = 4*w + 8, k + 10 = -w - 4*w. Suppose 0*m - 3 = -3*m. Let d(j) = 4*j**2 - j. Let o be d(m). Solve 20 = 5*l, -4*t - o*l + 8 = -k*t for t.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((y/(y*y**(-2/7)))**23*(y/(y/((y*y**(-1))/y)*y*y))**48)/((y*y/y**(1/7))/(y**(-5)*y))**(2/33) assuming y is positive.\n' | b'y**(-31828/231)\n' | b'Simplify ((y/(y*y**(-2/7)))**23*(y/(y/((y*y**(-1))/y)*y*y))**48)/((y*y/y**(1/7))/(y**(-5)*y))**(2/33) assuming y is positive.\n' | b'y**(-31828/231)\n' | deepmind/math_dataset |
b'Calculate prob of sequence dd when two letters picked without replacement from dddddddddd.\n' | b'1\n' | b'Calculate prob of sequence dd when two letters picked without replacement from dddddddddd.\n' | b'1\n' | deepmind/math_dataset |
b'Let a = 80679 + -80677. Let j(p) = -17*p - 4. Let b(h) = h + 1. Let v(y) = -4*b(y) - j(y). Calculate v(a).\n' | b'26\n' | b'Let a = 80679 + -80677. Let j(p) = -17*p - 4. Let b(h) = h + 1. Let v(y) = -4*b(y) - j(y). Calculate v(a).\n' | b'26\n' | deepmind/math_dataset |
b'Let b be 1 + (0 - (-2 + 1)). Let s be 1*2/(-6)*-12. What is the third derivative of -s + 4 - 7*y**5 - y**b + 0 wrt y?\n' | b'-420*y**2\n' | b'Let b be 1 + (0 - (-2 + 1)). Let s be 1*2/(-6)*-12. What is the third derivative of -s + 4 - 7*y**5 - y**b + 0 wrt y?\n' | b'-420*y**2\n' | deepmind/math_dataset |
b'Let f(a) = 2*a - 7. Let l be f(5). Let j(k) = -4 + 3 + k - l - 1. What is j(6)?\n' | b'1\n' | b'Let f(a) = 2*a - 7. Let l be f(5). Let j(k) = -4 + 3 + k - l - 1. What is j(6)?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -53 = -5*b + 27. Let k be b/5 + 9/(-45). Solve -n + 4*l + k = 2*n, -3*l = 0 for n.\n' | b'1\n' | b'Suppose -53 = -5*b + 27. Let k be b/5 + 9/(-45). Solve -n + 4*l + k = 2*n, -3*l = 0 for n.\n' | b'1\n' | deepmind/math_dataset |
b'Let o = -2 + -10. Suppose 2*r - 2*a + 14 = 0, 19 = -2*r + r + 5*a. Let q be (-6)/r*(-16)/o. Solve 3*b + 1 = -2*y, q*b + 0*b - 14 = -5*y for b.\n' | b'-3\n' | b'Let o = -2 + -10. Suppose 2*r - 2*a + 14 = 0, 19 = -2*r + r + 5*a. Let q be (-6)/r*(-16)/o. Solve 3*b + 1 = -2*y, q*b + 0*b - 14 = -5*y for b.\n' | b'-3\n' | deepmind/math_dataset |
b'Let t(q) = -13 - 13 - 3*q + 29. Determine t(5).\n' | b'-12\n' | b'Let t(q) = -13 - 13 - 3*q + 29. Determine t(5).\n' | b'-12\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 1, p: 1, c: 2, r: 4, f: 1}. What is prob of sequence xpf?\n' | b'1/504\n' | b'Three letters picked without replacement from {x: 1, p: 1, c: 2, r: 4, f: 1}. What is prob of sequence xpf?\n' | b'1/504\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 5, x: 9}. What is prob of sequence xc?\n' | b'45/182\n' | b'Two letters picked without replacement from {c: 5, x: 9}. What is prob of sequence xc?\n' | b'45/182\n' | deepmind/math_dataset |
b'Let c(v) = -v**2 - 39*v - 362. Let m be (9/5)/(-29 + (-8099)/(-280)). Give c(m).\n' | b'-2\n' | b'Let c(v) = -v**2 - 39*v - 362. Let m be (9/5)/(-29 + (-8099)/(-280)). Give c(m).\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 2, j: 4, i: 1, c: 2, o: 1, f: 4}. Give prob of sequence fm.\n' | b'4/91\n' | b'Two letters picked without replacement from {m: 2, j: 4, i: 1, c: 2, o: 1, f: 4}. Give prob of sequence fm.\n' | b'4/91\n' | deepmind/math_dataset |
b'Suppose 13*c - 475 = -12*c. Let p = 38 + -20. Solve -b + p = 4*q + b, 3*q + c = 5*b for q.\n' | b'2\n' | b'Suppose 13*c - 475 = -12*c. Let p = 38 + -20. Solve -b + p = 4*q + b, 3*q + c = 5*b for q.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 8, u: 2}. Give prob of picking 2 h.\n' | b'28/45\n' | b'Two letters picked without replacement from {h: 8, u: 2}. Give prob of picking 2 h.\n' | b'28/45\n' | deepmind/math_dataset |
b'Let w(d) be the third derivative of 3287*d**8/336 + 1217*d**5/12 - 2*d**2 + 5*d + 177. What is the third derivative of w(r) wrt r?\n' | b'197220*r**2\n' | b'Let w(d) be the third derivative of 3287*d**8/336 + 1217*d**5/12 - 2*d**2 + 5*d + 177. What is the third derivative of w(r) wrt r?\n' | b'197220*r**2\n' | deepmind/math_dataset |
b'What is prob of sequence yks when three letters picked without replacement from {p: 1, s: 1, a: 1, c: 1, y: 2, k: 1}?\n' | b'1/105\n' | b'What is prob of sequence yks when three letters picked without replacement from {p: 1, s: 1, a: 1, c: 1, y: 2, k: 1}?\n' | b'1/105\n' | deepmind/math_dataset |
b'Let u(h) = 13*h - 29. Let m(z) = 20*z - 27. Let q(a) = 2*m(a) - 3*u(a). Determine q(-7).\n' | b'26\n' | b'Let u(h) = 13*h - 29. Let m(z) = 20*z - 27. Let q(a) = 2*m(a) - 3*u(a). Determine q(-7).\n' | b'26\n' | deepmind/math_dataset |
b'Let v(w) = 7*w**2 + w - 12*w**2 + 18*w**3 + 6 - 17*w**3. Calculate v(4).\n' | b'-6\n' | b'Let v(w) = 7*w**2 + w - 12*w**2 + 18*w**3 + 6 - 17*w**3. Calculate v(4).\n' | b'-6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {e: 1, l: 3, s: 4, y: 1, u: 2}. What is prob of picking 1 e and 3 l?\n' | b'1/330\n' | b'Four letters picked without replacement from {e: 1, l: 3, s: 4, y: 1, u: 2}. What is prob of picking 1 e and 3 l?\n' | b'1/330\n' | deepmind/math_dataset |
b'Find the third derivative of -11*h**4 + 5*h**4 + 0*h**2 + h**2 wrt h.\n' | b'-144*h\n' | b'Find the third derivative of -11*h**4 + 5*h**4 + 0*h**2 + h**2 wrt h.\n' | b'-144*h\n' | deepmind/math_dataset |
b'Simplify ((u/(u*u/u**(-1/4)*u))/u)**(5/2)/(u**(-7)*(u*u**(-2))/u)*(u**0)**(-2/9)/(u*u**1)**15 assuming u is positive.\n' | b'u**(-233/8)\n' | b'Simplify ((u/(u*u/u**(-1/4)*u))/u)**(5/2)/(u**(-7)*(u*u**(-2))/u)*(u**0)**(-2/9)/(u*u**1)**15 assuming u is positive.\n' | b'u**(-233/8)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pkp. Give prob of sequence pp.\n' | b'1/3\n' | b'Two letters picked without replacement from pkp. Give prob of sequence pp.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let l be (-6)/(-51) + (-2784)/(-1479). Let r(u) be the first derivative of u**2 - 5*u - 1. Give r(l).\n' | b'-1\n' | b'Let l be (-6)/(-51) + (-2784)/(-1479). Let r(u) be the first derivative of u**2 - 5*u - 1. Give r(l).\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence osoo when four letters picked without replacement from ooooooso?\n' | b'1/8\n' | b'What is prob of sequence osoo when four letters picked without replacement from ooooooso?\n' | b'1/8\n' | deepmind/math_dataset |
b'What is prob of picking 3 m and 1 s when four letters picked without replacement from msmsmmmmm?\n' | b'5/9\n' | b'What is prob of picking 3 m and 1 s when four letters picked without replacement from msmsmmmmm?\n' | b'5/9\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ppppppcpppcczpppzpzc. What is prob of picking 2 c and 1 z?\n' | b'3/190\n' | b'Three letters picked without replacement from ppppppcpppcczpppzpzc. What is prob of picking 2 c and 1 z?\n' | b'3/190\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.