question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Simplify j*(j*j**(-1/3)/j)/j*(j*j**(-2/13))/j*j**(-4/9)/j*j*j/(j**(4/3)*j*j) assuming j is positive.\n' | b'j**(-382/117)\n' | b'Simplify j*(j*j**(-1/3)/j)/j*(j*j**(-2/13))/j*j**(-4/9)/j*j*j/(j**(4/3)*j*j) assuming j is positive.\n' | b'j**(-382/117)\n' | deepmind/math_dataset |
b'Let x(w) be the second derivative of w**3/3 + 2*w**2 + 12*w. Let d = -11 + 13. Suppose 6 = -d*v - 4. What is x(v)?\n' | b'-6\n' | b'Let x(w) be the second derivative of w**3/3 + 2*w**2 + 12*w. Let d = -11 + 13. Suppose 6 = -d*v - 4. What is x(v)?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify c**10*c**(-1/38)*(c**(-8))**(-1/17) assuming c is positive.\n' | b'c**(6747/646)\n' | b'Simplify c**10*c**(-1/38)*(c**(-8))**(-1/17) assuming c is positive.\n' | b'c**(6747/646)\n' | deepmind/math_dataset |
b'Let s be 7 + (97/(-19) - (-10)/95). Solve s*b - 3*v = 5, -6*b = -4*b + v + 15 for b.\n' | b'-5\n' | b'Let s be 7 + (97/(-19) - (-10)/95). Solve s*b - 3*v = 5, -6*b = -4*b + v + 15 for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 y when three letters picked without replacement from ffifffdbydddbdbyiby.\n' | b'1/969\n' | b'Calculate prob of picking 3 y when three letters picked without replacement from ffifffdbydddbdbyiby.\n' | b'1/969\n' | deepmind/math_dataset |
b'Let m = -142 - -127. Let b = -21 - m. Let i(p) = -p - 11. What is i(b)?\n' | b'-5\n' | b'Let m = -142 - -127. Let b = -21 - m. Let i(p) = -p - 11. What is i(b)?\n' | b'-5\n' | deepmind/math_dataset |
b'Let y = 1 - -7. Let h = 11 - y. Solve -2*p = 2, -h*s + 4*s - 1 = 2*p for s.\n' | b'-1\n' | b'Let y = 1 - -7. Let h = 11 - y. Solve -2*p = 2, -h*s + 4*s - 1 = 2*p for s.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (((s/s**14)/s*s/(s**(-3/13)/s))**(-1/22))**38 assuming s is positive.\n' | b's**(2907/143)\n' | b'Simplify (((s/s**14)/s*s/(s**(-3/13)/s))**(-1/22))**38 assuming s is positive.\n' | b's**(2907/143)\n' | deepmind/math_dataset |
b'Let a(w) = w**2 + 1. Let n(p) = 4*p**3 - 3*p**2 + 44. Let l(z) = -5*a(z) - n(z). Find the first derivative of l(t) wrt t.\n' | b'-12*t**2 - 4*t\n' | b'Let a(w) = w**2 + 1. Let n(p) = 4*p**3 - 3*p**2 + 44. Let l(z) = -5*a(z) - n(z). Find the first derivative of l(t) wrt t.\n' | b'-12*t**2 - 4*t\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 1 h when two letters picked without replacement from nleleeeeneeneleehene.\n' | b'2/95\n' | b'Calculate prob of picking 1 n and 1 h when two letters picked without replacement from nleleeeeneeneleehene.\n' | b'2/95\n' | deepmind/math_dataset |
b'Let b(o) = -o + 4*o**3 - 3*o**3 - 2*o**2 - 1 - o**2. Let x = 202 + -199. Calculate b(x).\n' | b'-4\n' | b'Let b(o) = -o + 4*o**3 - 3*o**3 - 2*o**2 - 1 - o**2. Let x = 202 + -199. Calculate b(x).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((h**(5/6)/h**(-14))/((h**(-10)*h*h)/h**10))**4 assuming h is positive.\n' | b'h**(394/3)\n' | b'Simplify ((h**(5/6)/h**(-14))/((h**(-10)*h*h)/h**10))**4 assuming h is positive.\n' | b'h**(394/3)\n' | deepmind/math_dataset |
b'What is prob of sequence ud when two letters picked without replacement from {u: 7, d: 4, h: 3}?\n' | b'2/13\n' | b'What is prob of sequence ud when two letters picked without replacement from {u: 7, d: 4, h: 3}?\n' | b'2/13\n' | deepmind/math_dataset |
b'Suppose -6*t = 8 - 26. Let y(v) be the first derivative of v - 5/2*v**2 + t. Determine y(-1).\n' | b'6\n' | b'Suppose -6*t = 8 - 26. Let y(v) be the first derivative of v - 5/2*v**2 + t. Determine y(-1).\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 e when two letters picked without replacement from {i: 3, j: 1, e: 4}.\n' | b'3/14\n' | b'Calculate prob of picking 2 e when two letters picked without replacement from {i: 3, j: 1, e: 4}.\n' | b'3/14\n' | deepmind/math_dataset |
b'Let s(m) = m**2 + 11*m + 8. Let d(f) = -f**2 + 5*f - 11. Let u be d(4). Give s(u).\n' | b'-20\n' | b'Let s(m) = m**2 + 11*m + 8. Let d(f) = -f**2 + 5*f - 11. Let u be d(4). Give s(u).\n' | b'-20\n' | deepmind/math_dataset |
b'What is the second derivative of 2*l**2 + 4*l - 8*l + 2*l**2 - 12*l wrt l?\n' | b'8\n' | b'What is the second derivative of 2*l**2 + 4*l - 8*l + 2*l**2 - 12*l wrt l?\n' | b'8\n' | deepmind/math_dataset |
b'Let u(x) = 8*x - 19. Let n be u(3). Solve -7 = 3*d + 2*v, 2*d - d + n*v = 15 for d.\n' | b'-5\n' | b'Let u(x) = 8*x - 19. Let n be u(3). Solve -7 = 3*d + 2*v, 2*d - d + n*v = 15 for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Let g(b) = -3*b + 7. Let n be (-2 - (-2 + -8)) + 15 + -16. Let j(f) = -2*f - 8 - 7 + 2 + n*f. Let a(m) = -7*g(m) - 4*j(m). Calculate a(-3).\n' | b'0\n' | b'Let g(b) = -3*b + 7. Let n be (-2 - (-2 + -8)) + 15 + -16. Let j(f) = -2*f - 8 - 7 + 2 + n*f. Let a(m) = -7*g(m) - 4*j(m). Calculate a(-3).\n' | b'0\n' | deepmind/math_dataset |
b'Let s be -4 + 3 - (2 - -1). Let f = 6 + s. Find the second derivative of 0*n + 2*n + 6*n**2 - 2*n**f wrt n.\n' | b'8\n' | b'Let s be -4 + 3 - (2 - -1). Let f = 6 + s. Find the second derivative of 0*n + 2*n + 6*n**2 - 2*n**f wrt n.\n' | b'8\n' | deepmind/math_dataset |
b'Let m(d) = -d**3 + 17*d**2 + 16*d + 29. Let v be (11*9/528)/((-1)/4)*-24. Calculate m(v).\n' | b'-7\n' | b'Let m(d) = -d**3 + 17*d**2 + 16*d + 29. Let v be (11*9/528)/((-1)/4)*-24. Calculate m(v).\n' | b'-7\n' | deepmind/math_dataset |
b'Suppose -7*r = 11*r. Let m be ((-24)/20)/((-4)/10). Suppose m*c - 8*c = 3*x - 98, -5*x = 4*c - 146. Solve r*b + o - 10 = -2*b, -2*b + x = 5*o for b.\n' | b'3\n' | b'Suppose -7*r = 11*r. Let m be ((-24)/20)/((-4)/10). Suppose m*c - 8*c = 3*x - 98, -5*x = 4*c - 146. Solve r*b + o - 10 = -2*b, -2*b + x = 5*o for b.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((v*v**(-3/5)*v/v**(-2/3))/(v*v**(-3/2)*v*v**(-3/2)))**(-21/2) assuming v is positive.\n' | b'v**(-161/5)\n' | b'Simplify ((v*v**(-3/5)*v/v**(-2/3))/(v*v**(-3/2)*v*v**(-3/2)))**(-21/2) assuming v is positive.\n' | b'v**(-161/5)\n' | deepmind/math_dataset |
b'Suppose -2*z + 10 = 3*z. Find the second derivative of -8*p + 0*p + 11*p + 6*p**5 + z*p**5 wrt p.\n' | b'160*p**3\n' | b'Suppose -2*z + 10 = 3*z. Find the second derivative of -8*p + 0*p + 11*p + 6*p**5 + z*p**5 wrt p.\n' | b'160*p**3\n' | deepmind/math_dataset |
b'What is prob of picking 1 f, 1 b, and 1 t when three letters picked without replacement from {t: 3, b: 1, f: 1}?\n' | b'3/10\n' | b'What is prob of picking 1 f, 1 b, and 1 t when three letters picked without replacement from {t: 3, b: 1, f: 1}?\n' | b'3/10\n' | deepmind/math_dataset |
b'Let o = 9 - 14. Let k(n) = n**2 + 6*n + 8. Let v be k(o). Solve 2*t = -5*h + 22, -3*h - 2*h = -v*t - 17 for h.\n' | b'4\n' | b'Let o = 9 - 14. Let k(n) = n**2 + 6*n + 8. Let v be k(o). Solve 2*t = -5*h + 22, -3*h - 2*h = -v*t - 17 for h.\n' | b'4\n' | deepmind/math_dataset |
b'Let a(n) = -2*n**3 + 32*n**2 - 31*n + 18. Let k be a(15). Solve 3*u = 2*m + 2 + 2, 0 = -k*m - 2*u - 19 for m.\n' | b'-5\n' | b'Let a(n) = -2*n**3 + 32*n**2 - 31*n + 18. Let k be a(15). Solve 3*u = 2*m + 2 + 2, 0 = -k*m - 2*u - 19 for m.\n' | b'-5\n' | deepmind/math_dataset |
b'Let s be (-1)/2*(-13 + 5). Differentiate 5 + 0 + 4 - 5*a**s with respect to a.\n' | b'-20*a**3\n' | b'Let s be (-1)/2*(-13 + 5). Differentiate 5 + 0 + 4 - 5*a**s with respect to a.\n' | b'-20*a**3\n' | deepmind/math_dataset |
b'What is prob of picking 1 r and 3 e when four letters picked without replacement from reere?\n' | b'2/5\n' | b'What is prob of picking 1 r and 3 e when four letters picked without replacement from reere?\n' | b'2/5\n' | deepmind/math_dataset |
b'What is prob of picking 3 u and 1 b when four letters picked without replacement from bbbububbbbbb?\n' | b'0\n' | b'What is prob of picking 3 u and 1 b when four letters picked without replacement from bbbububbbbbb?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((u**(-12)/(u**(2/17)/u))/((u**(-6)/u)/u**(2/3)))**(-1/7) assuming u is positive.\n' | b'u**(176/357)\n' | b'Simplify ((u**(-12)/(u**(2/17)/u))/((u**(-6)/u)/u**(2/3)))**(-1/7) assuming u is positive.\n' | b'u**(176/357)\n' | deepmind/math_dataset |
b'Let x(f) be the second derivative of 43*f**6/6 + 121*f**4/12 - f**2 + 80*f + 1. What is the third derivative of x(c) wrt c?\n' | b'5160*c\n' | b'Let x(f) be the second derivative of 43*f**6/6 + 121*f**4/12 - f**2 + 80*f + 1. What is the third derivative of x(c) wrt c?\n' | b'5160*c\n' | deepmind/math_dataset |
b'Let b(g) = 61*g**2 + 179*g - 3. Let n be b(-3). Solve 0 = -3*h + 5*y - n, -3*h + 3*y + 37 = 40 for h.\n' | b'2\n' | b'Let b(g) = 61*g**2 + 179*g - 3. Let n be b(-3). Solve 0 = -3*h + 5*y - n, -3*h + 3*y + 37 = 40 for h.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (j**(1/2))**(1/39)*j**(-6)/((((j/j**(-2/15))/j*j)/j)/j) assuming j is positive.\n' | b'j**(-1997/390)\n' | b'Simplify (j**(1/2))**(1/39)*j**(-6)/((((j/j**(-2/15))/j*j)/j)/j) assuming j is positive.\n' | b'j**(-1997/390)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 14, r: 2, x: 1, v: 2}. What is prob of sequence vrh?\n' | b'28/2907\n' | b'Three letters picked without replacement from {h: 14, r: 2, x: 1, v: 2}. What is prob of sequence vrh?\n' | b'28/2907\n' | deepmind/math_dataset |
b'Let j be 0/(-6)*2/(-4). Let c(g) = -5*g**2 - 3*g**3 + j*g**3 + 7*g + 2*g**3 + 0*g**3 + 3. Calculate c(-6).\n' | b'-3\n' | b'Let j be 0/(-6)*2/(-4). Let c(g) = -5*g**2 - 3*g**3 + j*g**3 + 7*g + 2*g**3 + 0*g**3 + 3. Calculate c(-6).\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kkkkzkktk. What is prob of picking 1 t and 3 z?\n' | b'0\n' | b'Four letters picked without replacement from kkkkzkktk. What is prob of picking 1 t and 3 z?\n' | b'0\n' | deepmind/math_dataset |
b'Let r = -97 + 102. Let y be 0*(2 - r/5) + -3. Let q(b) = 3*b + 4. Give q(y).\n' | b'-5\n' | b'Let r = -97 + 102. Let y be 0*(2 - r/5) + -3. Let q(b) = 3*b + 4. Give q(y).\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qqqqllcllccqqqcfllc. Give prob of sequence qq.\n' | b'7/57\n' | b'Two letters picked without replacement from qqqqllcllccqqqcfllc. Give prob of sequence qq.\n' | b'7/57\n' | deepmind/math_dataset |
b'Calculate prob of sequence yr when two letters picked without replacement from yyyyryyyyyyyyyy.\n' | b'1/15\n' | b'Calculate prob of sequence yr when two letters picked without replacement from yyyyryyyyyyyyyy.\n' | b'1/15\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 3, v: 1}. Give prob of sequence vtv.\n' | b'0\n' | b'Three letters picked without replacement from {t: 3, v: 1}. Give prob of sequence vtv.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((((z*z**(-14))/z)/z)/z)/(z*z*z/(z*((z/((z*(z*z**(2/13))/z*z)/z))/z)/z)*z)*z**(5/3)/z**13 assuming z is positive.\n' | b'z**(-1267/39)\n' | b'Simplify ((((z*z**(-14))/z)/z)/z)/(z*z*z/(z*((z/((z*(z*z**(2/13))/z*z)/z))/z)/z)*z)*z**(5/3)/z**13 assuming z is positive.\n' | b'z**(-1267/39)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 i and 2 w when four letters picked without replacement from wiiwwii.\n' | b'18/35\n' | b'Calculate prob of picking 2 i and 2 w when four letters picked without replacement from wiiwwii.\n' | b'18/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 1, s: 1, f: 2, q: 1, k: 2, x: 1}. Give prob of sequence xf.\n' | b'1/28\n' | b'Two letters picked without replacement from {a: 1, s: 1, f: 2, q: 1, k: 2, x: 1}. Give prob of sequence xf.\n' | b'1/28\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o and 1 z when two letters picked without replacement from xozgzoozgzzg.\n' | b'5/22\n' | b'Calculate prob of picking 1 o and 1 z when two letters picked without replacement from xozgzoozgzzg.\n' | b'5/22\n' | deepmind/math_dataset |
b'Suppose 0 = 3*s - 4*w - 1, -43*s + 4*w + 7 = -46*s. Let h(c) = 72*c**2 + 2*c + 1. Determine h(s).\n' | b'71\n' | b'Suppose 0 = 3*s - 4*w - 1, -43*s + 4*w + 7 = -46*s. Let h(c) = 72*c**2 + 2*c + 1. Determine h(s).\n' | b'71\n' | deepmind/math_dataset |
b'Simplify (g**(1/9)*g**(-2/17))/(g**(-3)*g**(3/2)) assuming g is positive.\n' | b'g**(457/306)\n' | b'Simplify (g**(1/9)*g**(-2/17))/(g**(-3)*g**(3/2)) assuming g is positive.\n' | b'g**(457/306)\n' | deepmind/math_dataset |
b'Simplify (x**3/x**(-1/13))**(3/2)*((x*x/(x*x**(2/5))*x*x*x)**(-3/16))**(-4/3) assuming x is positive.\n' | b'x**(717/130)\n' | b'Simplify (x**3/x**(-1/13))**(3/2)*((x*x/(x*x**(2/5))*x*x*x)**(-3/16))**(-4/3) assuming x is positive.\n' | b'x**(717/130)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 4, l: 4, g: 9}. What is prob of picking 1 l and 2 g?\n' | b'18/85\n' | b'Three letters picked without replacement from {f: 4, l: 4, g: 9}. What is prob of picking 1 l and 2 g?\n' | b'18/85\n' | deepmind/math_dataset |
b'Let h be (-2)/(0 + 6/(-15)) + -567. Let n = h - -565. Solve -6*p - l = -5*p + 2, 2 = n*p - 5*l for p.\n' | b'-1\n' | b'Let h be (-2)/(0 + 6/(-15)) + -567. Let n = h - -565. Solve -6*p - l = -5*p + 2, 2 = n*p - 5*l for p.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (f/f**3*(f/(f/(((f*f**6*f)/f)/f*f*f)))/f*f)/(f*f/f**(2/7)*f*f)**(-15)*((f**(-1/2))**(-2/5))**(2/95) assuming f is positive.\n' | b'f**(205214/3325)\n' | b'Simplify (f/f**3*(f/(f/(((f*f**6*f)/f)/f*f*f)))/f*f)/(f*f/f**(2/7)*f*f)**(-15)*((f**(-1/2))**(-2/5))**(2/95) assuming f is positive.\n' | b'f**(205214/3325)\n' | deepmind/math_dataset |
b'Calculate prob of sequence udlc when four letters picked without replacement from clcluclddsd.\n' | b'3/880\n' | b'Calculate prob of sequence udlc when four letters picked without replacement from clcluclddsd.\n' | b'3/880\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uwffwhfuuf. Give prob of picking 1 u and 1 w.\n' | b'2/15\n' | b'Two letters picked without replacement from uwffwhfuuf. Give prob of picking 1 u and 1 w.\n' | b'2/15\n' | deepmind/math_dataset |
b'Let o(a) = -6647*a**3 + 6*a + 9 - 5 - 78 + 6648*a**3 - 67 - 26*a**2. Determine o(26).\n' | b'15\n' | b'Let o(a) = -6647*a**3 + 6*a + 9 - 5 - 78 + 6648*a**3 - 67 - 26*a**2. Determine o(26).\n' | b'15\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 2 c when three letters picked without replacement from {m: 3, x: 2, a: 6, c: 2}?\n' | b'3/143\n' | b'What is prob of picking 1 a and 2 c when three letters picked without replacement from {m: 3, x: 2, a: 6, c: 2}?\n' | b'3/143\n' | deepmind/math_dataset |
b'Let y be 124/14 + (-736)/(-644). Solve -3*u + y = 4*o + 17, -5*u + 2*o - 3 = 0 for u.\n' | b'-1\n' | b'Let y be 124/14 + (-736)/(-644). Solve -3*u + y = 4*o + 17, -5*u + 2*o - 3 = 0 for u.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 4, a: 3}. What is prob of picking 1 p and 1 a?\n' | b'4/7\n' | b'Two letters picked without replacement from {p: 4, a: 3}. What is prob of picking 1 p and 1 a?\n' | b'4/7\n' | deepmind/math_dataset |
b'Let r = 7 + -4. Let x(k) = k**2 - k - 4. Let b be x(r). What is the third derivative of 4*l**b - l**3 - 3*l**2 + 2*l**3 wrt l?\n' | b'6\n' | b'Let r = 7 + -4. Let x(k) = k**2 - k - 4. Let b be x(r). What is the third derivative of 4*l**b - l**3 - 3*l**2 + 2*l**3 wrt l?\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 4, q: 3, z: 5}. Give prob of sequence ze.\n' | b'5/33\n' | b'Two letters picked without replacement from {e: 4, q: 3, z: 5}. Give prob of sequence ze.\n' | b'5/33\n' | deepmind/math_dataset |
b'Suppose -24 = -2*u + 4. Suppose -u = -6*q + 4. Find the second derivative of 13*b - 268*b**3 + 0*b + 263*b**q wrt b.\n' | b'-30*b\n' | b'Suppose -24 = -2*u + 4. Suppose -u = -6*q + 4. Find the second derivative of 13*b - 268*b**3 + 0*b + 263*b**q wrt b.\n' | b'-30*b\n' | deepmind/math_dataset |
b'Simplify (n**(-2/35)*n**(5/3))/(n**(-2)/n*n/(((n**(-14)/n)/n)/n)*n) assuming n is positive.\n' | b'n**(-1511/105)\n' | b'Simplify (n**(-2/35)*n**(5/3))/(n**(-2)/n*n/(((n**(-14)/n)/n)/n)*n) assuming n is positive.\n' | b'n**(-1511/105)\n' | deepmind/math_dataset |
b'Calculate prob of sequence birx when four letters picked without replacement from xpifirrprrbipr.\n' | b'5/8008\n' | b'Calculate prob of sequence birx when four letters picked without replacement from xpifirrprrbipr.\n' | b'5/8008\n' | deepmind/math_dataset |
b'What is prob of sequence wae when three letters picked without replacement from {e: 1, c: 7, g: 1, a: 2, w: 8}?\n' | b'8/2907\n' | b'What is prob of sequence wae when three letters picked without replacement from {e: 1, c: 7, g: 1, a: 2, w: 8}?\n' | b'8/2907\n' | deepmind/math_dataset |
b'What is prob of picking 2 g when two letters picked without replacement from {y: 2, b: 3, g: 3}?\n' | b'3/28\n' | b'What is prob of picking 2 g when two letters picked without replacement from {y: 2, b: 3, g: 3}?\n' | b'3/28\n' | deepmind/math_dataset |
b'Let j(r) be the third derivative of -r**4/24 - 2*r**3/3 + 21*r**2. Let h = -8 - -3. Calculate j(h).\n' | b'1\n' | b'Let j(r) be the third derivative of -r**4/24 - 2*r**3/3 + 21*r**2. Let h = -8 - -3. Calculate j(h).\n' | b'1\n' | deepmind/math_dataset |
b'Let p be (-16)/7 - (-2)/7. Let h(k) = -k. Let a be h(2). Let j be p - (a - (-1 + 3)). Solve 2*q = i, -j*i = -3*q - 0 - 2 for q.\n' | b'2\n' | b'Let p be (-16)/7 - (-2)/7. Let h(k) = -k. Let a be h(2). Let j be p - (a - (-1 + 3)). Solve 2*q = i, -j*i = -3*q - 0 - 2 for q.\n' | b'2\n' | deepmind/math_dataset |
b'Let n(m) = 4*m + 192. Let g be n(-47). Solve 2*x + 2*c = 4, g*c - 8 = x - 15 for x.\n' | b'3\n' | b'Let n(m) = 4*m + 192. Let g be n(-47). Solve 2*x + 2*c = 4, g*c - 8 = x - 15 for x.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 1, u: 1, k: 4, j: 3, n: 1, y: 4}. What is prob of picking 1 k and 1 a?\n' | b'4/91\n' | b'Two letters picked without replacement from {a: 1, u: 1, k: 4, j: 3, n: 1, y: 4}. What is prob of picking 1 k and 1 a?\n' | b'4/91\n' | deepmind/math_dataset |
b'What is prob of picking 4 s when four letters picked without replacement from {s: 5}?\n' | b'1\n' | b'What is prob of picking 4 s when four letters picked without replacement from {s: 5}?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 m and 2 t when three letters picked without replacement from {t: 1, c: 3, j: 1, x: 1, m: 1}?\n' | b'0\n' | b'What is prob of picking 1 m and 2 t when three letters picked without replacement from {t: 1, c: 3, j: 1, x: 1, m: 1}?\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 0 = 6*f - 4*f + 4*o - 32, 52 = 4*f + 5*o. Solve -2*q + w - f = 2*q, 4*w - 16 = 0 for q.\n' | b'-1\n' | b'Suppose 0 = 6*f - 4*f + 4*o - 32, 52 = 4*f + 5*o. Solve -2*q + w - f = 2*q, 4*w - 16 = 0 for q.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (w/(w/(w/w**(-2/7)))*w/w**(-1/7)*w)/(w**0)**33 assuming w is positive.\n' | b'w**(24/7)\n' | b'Simplify (w/(w/(w/w**(-2/7)))*w/w**(-1/7)*w)/(w**0)**33 assuming w is positive.\n' | b'w**(24/7)\n' | deepmind/math_dataset |
b'Suppose 7*t - 5*m = 4*t - 11, -31 = -5*t - 4*m. Let f be 15*(0 + t/9). What is the second derivative of -4*g**f + 5*g + 4*g**5 + 2*g**5 wrt g?\n' | b'40*g**3\n' | b'Suppose 7*t - 5*m = 4*t - 11, -31 = -5*t - 4*m. Let f be 15*(0 + t/9). What is the second derivative of -4*g**f + 5*g + 4*g**5 + 2*g**5 wrt g?\n' | b'40*g**3\n' | deepmind/math_dataset |
b'Simplify (((l/l**(6/7))/(l/(((l**(2/11)/l)/l)/l)*l))/(l**(2/9)/l)**11)/((l*l**(-9)*l/l**(-2))/(l**0*l**6*l)) assuming l is positive.\n' | b'l**(11005/693)\n' | b'Simplify (((l/l**(6/7))/(l/(((l**(2/11)/l)/l)/l)*l))/(l**(2/9)/l)**11)/((l*l**(-9)*l/l**(-2))/(l**0*l**6*l)) assuming l is positive.\n' | b'l**(11005/693)\n' | deepmind/math_dataset |
b'Simplify (c**2)**(-13/3)/(c**(-2/5))**1 assuming c is positive.\n' | b'c**(-124/15)\n' | b'Simplify (c**2)**(-13/3)/(c**(-2/5))**1 assuming c is positive.\n' | b'c**(-124/15)\n' | deepmind/math_dataset |
b'Let a(n) = n**2 + 5*n + 5. Let z be a(-5). Let o(l) = -2*l**3 + l**2 + 12*l - 4. Let w(t) = t**3 - t**2 - 6*t + 2. Let d(b) = -3*o(b) - 7*w(b). Calculate d(z).\n' | b'3\n' | b'Let a(n) = n**2 + 5*n + 5. Let z be a(-5). Let o(l) = -2*l**3 + l**2 + 12*l - 4. Let w(t) = t**3 - t**2 - 6*t + 2. Let d(b) = -3*o(b) - 7*w(b). Calculate d(z).\n' | b'3\n' | deepmind/math_dataset |
b'Let v be (-12)/(-1) - (7 - 11). Find the third derivative of -32*p**2 + v*p**2 + 31*p**2 - 32*p**4 wrt p.\n' | b'-768*p\n' | b'Let v be (-12)/(-1) - (7 - 11). Find the third derivative of -32*p**2 + v*p**2 + 31*p**2 - 32*p**4 wrt p.\n' | b'-768*p\n' | deepmind/math_dataset |
b'Suppose 30 = -3*u - 12*r + 9*r, -2*u = -5*r - 8. Let h(c) = c**3 + 5*c**2 - 8*c + 1. Calculate h(u).\n' | b'13\n' | b'Suppose 30 = -3*u - 12*r + 9*r, -2*u = -5*r - 8. Let h(c) = c**3 + 5*c**2 - 8*c + 1. Calculate h(u).\n' | b'13\n' | deepmind/math_dataset |
b'Let k(s) = -7*s + 8. Let l(z) = 15*z - 17. Let g(q) = -13*k(q) - 6*l(q). Let w be g(6). Solve 1 = 2*v - p, -3*p - 6 = -w*v - 5*p for v.\n' | b'1\n' | b'Let k(s) = -7*s + 8. Let l(z) = 15*z - 17. Let g(q) = -13*k(q) - 6*l(q). Let w be g(6). Solve 1 = 2*v - p, -3*p - 6 = -w*v - 5*p for v.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence ee when two letters picked without replacement from {e: 5, h: 2}.\n' | b'10/21\n' | b'Calculate prob of sequence ee when two letters picked without replacement from {e: 5, h: 2}.\n' | b'10/21\n' | deepmind/math_dataset |
b'Let k(i) = -7*i + 15. Let q(b) = 4*b - 8. Let h(w) = -3*k(w) - 5*q(w). What is h(5)?\n' | b'0\n' | b'Let k(i) = -7*i + 15. Let q(b) = 4*b - 8. Let h(w) = -3*k(w) - 5*q(w). What is h(5)?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((o*o*o**(-25)*o)/o**(-12))/(o*o/(o/o**21))**(-2/57) assuming o is positive.\n' | b'o**(-526/57)\n' | b'Simplify ((o*o*o**(-25)*o)/o**(-12))/(o*o/(o/o**21))**(-2/57) assuming o is positive.\n' | b'o**(-526/57)\n' | deepmind/math_dataset |
b'Let o = -325 - -349. Solve 4*c = -5*r + 20, -9 = 3*c - o for r.\n' | b'0\n' | b'Let o = -325 - -349. Solve 4*c = -5*r + 20, -9 = 3*c - o for r.\n' | b'0\n' | deepmind/math_dataset |
b'Find the third derivative of 1026*l + 6025*l**5 + 1041*l + 9757*l**2 - 2067*l wrt l.\n' | b'361500*l**2\n' | b'Find the third derivative of 1026*l + 6025*l**5 + 1041*l + 9757*l**2 - 2067*l wrt l.\n' | b'361500*l**2\n' | deepmind/math_dataset |
b'Let c(y) be the second derivative of y**5/40 - y**4/8 - 2*y**3/3 + y. Let t(g) be the second derivative of c(g). Differentiate t(h) with respect to h.\n' | b'3\n' | b'Let c(y) be the second derivative of y**5/40 - y**4/8 - 2*y**3/3 + y. Let t(g) be the second derivative of c(g). Differentiate t(h) with respect to h.\n' | b'3\n' | deepmind/math_dataset |
b'Let p(s) = -40*s**2 + 22*s**2 + 17*s**2 - 8*s - 7. Let n be p(-6). Solve -q + 2*b = -6, -11 = -n*q + 5*b + 9 for q.\n' | b'2\n' | b'Let p(s) = -40*s**2 + 22*s**2 + 17*s**2 - 8*s - 7. Let n be p(-6). Solve -q + 2*b = -6, -11 = -n*q + 5*b + 9 for q.\n' | b'2\n' | deepmind/math_dataset |
b'Let m be (-1 - -1)/((3 - 7)/(-4)). Solve m = -3*a - 5*b + 19, 0 = -3*a - 3*b + 7 + 2 for a.\n' | b'-2\n' | b'Let m be (-1 - -1)/((3 - 7)/(-4)). Solve m = -3*a - 5*b + 19, 0 = -3*a - 3*b + 7 + 2 for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose s + 5 = 5*j + 5*s, 0 = -3*s. Let u(q) = 7 + 74*q**2 - 75*q**2 + 2*q - j. Let o be -1 + -3 + 0/(-4). Determine u(o).\n' | b'-18\n' | b'Suppose s + 5 = 5*j + 5*s, 0 = -3*s. Let u(q) = 7 + 74*q**2 - 75*q**2 + 2*q - j. Let o be -1 + -3 + 0/(-4). Determine u(o).\n' | b'-18\n' | deepmind/math_dataset |
b'Let f(o) = -158*o**2 + 184*o - 12949. Let p(n) = -106*n**2 + 123*n - 8624. Let h(m) = -5*f(m) + 7*p(m). Differentiate h(v) wrt v.\n' | b'96*v - 59\n' | b'Let f(o) = -158*o**2 + 184*o - 12949. Let p(n) = -106*n**2 + 123*n - 8624. Let h(m) = -5*f(m) + 7*p(m). Differentiate h(v) wrt v.\n' | b'96*v - 59\n' | deepmind/math_dataset |
b'Two letters picked without replacement from idiifdiiifid. What is prob of picking 2 d?\n' | b'1/22\n' | b'Two letters picked without replacement from idiifdiiifid. What is prob of picking 2 d?\n' | b'1/22\n' | deepmind/math_dataset |
b'Let n(w) = 2*w - 9. Suppose -4*g + 8 = 0, m = 2*m + g - 8. Let o be n(m). Solve q + 5 = 5*t - 0*t, q + o = 3*t for t.\n' | b'1\n' | b'Let n(w) = 2*w - 9. Suppose -4*g + 8 = 0, m = 2*m + g - 8. Let o be n(m). Solve q + 5 = 5*t - 0*t, q + o = 3*t for t.\n' | b'1\n' | deepmind/math_dataset |
b'Let v(d) = -d**3. Let n = -16 + 20. Suppose -n = -2*w - 2. Let i(y) = 26*y**3 + 30*y. Let f(l) = w*i(l) + 2*v(l). What is the second derivative of f(x) wrt x?\n' | b'144*x\n' | b'Let v(d) = -d**3. Let n = -16 + 20. Suppose -n = -2*w - 2. Let i(y) = 26*y**3 + 30*y. Let f(l) = w*i(l) + 2*v(l). What is the second derivative of f(x) wrt x?\n' | b'144*x\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gummeggmmdemdmr. Give prob of picking 3 m.\n' | b'4/91\n' | b'Three letters picked without replacement from gummeggmmdemdmr. Give prob of picking 3 m.\n' | b'4/91\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lllllllllllllwl. What is prob of picking 2 l and 1 w?\n' | b'1/5\n' | b'Three letters picked without replacement from lllllllllllllwl. What is prob of picking 2 l and 1 w?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let q(z) be the first derivative of -z**6/45 - z**5/60 - z**4/24 - z**3 - 3. Let m(g) be the third derivative of q(g). Let i be (-2)/4 + 2/(-4). Determine m(i).\n' | b'-7\n' | b'Let q(z) be the first derivative of -z**6/45 - z**5/60 - z**4/24 - z**3 - 3. Let m(g) be the third derivative of q(g). Let i be (-2)/4 + 2/(-4). Determine m(i).\n' | b'-7\n' | deepmind/math_dataset |
b'Let a(i) be the second derivative of -9*i**7/2 + i**4/6 - 45*i**3/2 - 17*i - 3. Find the third derivative of a(b) wrt b.\n' | b'-11340*b**2\n' | b'Let a(i) be the second derivative of -9*i**7/2 + i**4/6 - 45*i**3/2 - 17*i - 3. Find the third derivative of a(b) wrt b.\n' | b'-11340*b**2\n' | deepmind/math_dataset |
b'Let x(t) = -t + 11. Let z be x(7). Solve -3*n + 10 = z*b, 2*n + 2 - 5 = b for b.\n' | b'1\n' | b'Let x(t) = -t + 11. Let z be x(7). Solve -3*n + 10 = z*b, 2*n + 2 - 5 = b for b.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose w - 3*d = 0, -2 = -d - d. Let t be 2/12*2*6. Find the third derivative of 27*i**6 - w*i**2 - 21*i**6 - t*i**2 wrt i.\n' | b'720*i**3\n' | b'Suppose w - 3*d = 0, -2 = -d - d. Let t be 2/12*2*6. Find the third derivative of 27*i**6 - w*i**2 - 21*i**6 - t*i**2 wrt i.\n' | b'720*i**3\n' | deepmind/math_dataset |
b'Let h(p) = -p**3 + 9*p**2 + 5*p - 135. Let n be h(6). Let s(g) = g**3 + 3*g**2 - 20*g - 2. What is s(n)?\n' | b'-8\n' | b'Let h(p) = -p**3 + 9*p**2 + 5*p - 135. Let n be h(6). Let s(g) = g**3 + 3*g**2 - 20*g - 2. What is s(n)?\n' | b'-8\n' | deepmind/math_dataset |
b'Suppose 1 = -4*q + 21. Find the second derivative of -26*l + 37*l - 3*l**q - l**5 wrt l.\n' | b'-80*l**3\n' | b'Suppose 1 = -4*q + 21. Find the second derivative of -26*l + 37*l - 3*l**q - l**5 wrt l.\n' | b'-80*l**3\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.