question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Simplify (((f**(-9)/f)/f)/(f**7*f))/(f*(f**14*f)/f*f**(-5/3)) assuming f is positive.\n' | b'f**(-97/3)\n' | b'Simplify (((f**(-9)/f)/f)/(f**7*f))/(f*(f**14*f)/f*f**(-5/3)) assuming f is positive.\n' | b'f**(-97/3)\n' | deepmind/math_dataset |
b'What is prob of picking 2 u when two letters picked without replacement from {m: 1, y: 11, u: 3, x: 4}?\n' | b'1/57\n' | b'What is prob of picking 2 u when two letters picked without replacement from {m: 1, y: 11, u: 3, x: 4}?\n' | b'1/57\n' | deepmind/math_dataset |
b'Let b = -7 - -8. Let c be ((-9)/6*-2)/b. Find the second derivative of -2*w**2 + 4*w + 2*w**2 + 4*w**c wrt w.\n' | b'24*w\n' | b'Let b = -7 - -8. Let c be ((-9)/6*-2)/b. Find the second derivative of -2*w**2 + 4*w + 2*w**2 + 4*w**c wrt w.\n' | b'24*w\n' | deepmind/math_dataset |
b'What is prob of picking 1 c, 2 u, and 1 o when four letters picked without replacement from {u: 7, o: 4, c: 3, n: 1, e: 3}?\n' | b'7/85\n' | b'What is prob of picking 1 c, 2 u, and 1 o when four letters picked without replacement from {u: 7, o: 4, c: 3, n: 1, e: 3}?\n' | b'7/85\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zzzsbsbasbzzbsaaz. What is prob of sequence bz?\n' | b'3/34\n' | b'Two letters picked without replacement from zzzsbsbasbzzbsaaz. What is prob of sequence bz?\n' | b'3/34\n' | deepmind/math_dataset |
b'Let z(f) be the first derivative of -f**2/2 + 2*f - 1. Let x be z(0). Let c be (3/12)/(x/8). Let i(p) = 7*p**2 - p + 1. Calculate i(c).\n' | b'7\n' | b'Let z(f) be the first derivative of -f**2/2 + 2*f - 1. Let x be z(0). Let c be (3/12)/(x/8). Let i(p) = 7*p**2 - p + 1. Calculate i(c).\n' | b'7\n' | deepmind/math_dataset |
b'What is prob of picking 2 t and 1 w when three letters picked without replacement from {w: 2, t: 4, g: 2, s: 8, p: 4}?\n' | b'1/95\n' | b'What is prob of picking 2 t and 1 w when three letters picked without replacement from {w: 2, t: 4, g: 2, s: 8, p: 4}?\n' | b'1/95\n' | deepmind/math_dataset |
b'Let p(f) be the second derivative of 3*f**5/5 + 13*f**3/6 + 10*f. What is the second derivative of p(n) wrt n?\n' | b'72*n\n' | b'Let p(f) be the second derivative of 3*f**5/5 + 13*f**3/6 + 10*f. What is the second derivative of p(n) wrt n?\n' | b'72*n\n' | deepmind/math_dataset |
b'Simplify (o**(2/11)/o**(1/14))**(-3/10)/((o**1)**(-33))**(-44) assuming o is positive.\n' | b'o**(-2236131/1540)\n' | b'Simplify (o**(2/11)/o**(1/14))**(-3/10)/((o**1)**(-33))**(-44) assuming o is positive.\n' | b'o**(-2236131/1540)\n' | deepmind/math_dataset |
b'Let d(w) = w**2 - w - 4. Suppose -3*q = -o + 10, 5*o - 8*q + 4*q = 28. Determine d(o).\n' | b'8\n' | b'Let d(w) = w**2 - w - 4. Suppose -3*q = -o + 10, 5*o - 8*q + 4*q = 28. Determine d(o).\n' | b'8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lllllhlhlhh. What is prob of picking 1 h and 3 l?\n' | b'14/33\n' | b'Four letters picked without replacement from lllllhlhlhh. What is prob of picking 1 h and 3 l?\n' | b'14/33\n' | deepmind/math_dataset |
b'What is prob of picking 1 t, 1 m, and 2 s when four letters picked without replacement from {m: 2, t: 7, s: 2}?\n' | b'7/165\n' | b'What is prob of picking 1 t, 1 m, and 2 s when four letters picked without replacement from {m: 2, t: 7, s: 2}?\n' | b'7/165\n' | deepmind/math_dataset |
b'Simplify f**(-14)*f*f*f/((f/(f*(f**(-2/11)/f)/f))/f)*f*f*f assuming f is positive.\n' | b'f**(-101/11)\n' | b'Simplify f**(-14)*f*f*f/((f/(f*(f**(-2/11)/f)/f))/f)*f*f*f assuming f is positive.\n' | b'f**(-101/11)\n' | deepmind/math_dataset |
b'Let d(b) be the first derivative of -b**4/24 - b**3/6 - b**2/2 - 3. Let o(s) be the second derivative of d(s). Differentiate o(p) with respect to p.\n' | b'-1\n' | b'Let d(b) be the first derivative of -b**4/24 - b**3/6 - b**2/2 - 3. Let o(s) be the second derivative of d(s). Differentiate o(p) with respect to p.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 1 r, 1 c, and 1 o when three letters picked without replacement from rrecoqreorcceqr?\n' | b'6/91\n' | b'What is prob of picking 1 r, 1 c, and 1 o when three letters picked without replacement from rrecoqreorcceqr?\n' | b'6/91\n' | deepmind/math_dataset |
b'Calculate prob of sequence rb when two letters picked without replacement from {l: 1, a: 3, x: 3, r: 3, b: 5}.\n' | b'1/14\n' | b'Calculate prob of sequence rb when two letters picked without replacement from {l: 1, a: 3, x: 3, r: 3, b: 5}.\n' | b'1/14\n' | deepmind/math_dataset |
b'What is prob of picking 2 q when two letters picked without replacement from iiiiliiiliqqii?\n' | b'1/91\n' | b'What is prob of picking 2 q when two letters picked without replacement from iiiiliiiliqqii?\n' | b'1/91\n' | deepmind/math_dataset |
b'Simplify ((d**5/d)/(d**(-2/9)/d))/(d*d/(d**(-5)*d)*d*d*d**(-5))*d**(4/9)*d*d/(d*d*d**0)*d**(-5)/d*d*d**(-2/3) assuming d is positive.\n' | b'd**(-3)\n' | b'Simplify ((d**5/d)/(d**(-2/9)/d))/(d*d/(d**(-5)*d)*d*d*d**(-5))*d**(4/9)*d*d/(d*d*d**0)*d**(-5)/d*d*d**(-2/3) assuming d is positive.\n' | b'd**(-3)\n' | deepmind/math_dataset |
b'Let l(a) be the second derivative of -a**8/840 - a**5/30 + a**3/3 - a. Let t(g) be the second derivative of l(g). What is the second derivative of t(i) wrt i?\n' | b'-24*i**2\n' | b'Let l(a) be the second derivative of -a**8/840 - a**5/30 + a**3/3 - a. Let t(g) be the second derivative of l(g). What is the second derivative of t(i) wrt i?\n' | b'-24*i**2\n' | deepmind/math_dataset |
b'Let z be (-7)/((-14)/12) + -3. Solve -9 = -z*w - s - 1, -18 = -5*w + 3*s for w.\n' | b'3\n' | b'Let z be (-7)/((-14)/12) + -3. Solve -9 = -z*w - s - 1, -18 = -5*w + 3*s for w.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -4*s - 199 = -215. Let m(y) = -3*y + 9. What is m(s)?\n' | b'-3\n' | b'Suppose -4*s - 199 = -215. Let m(y) = -3*y + 9. What is m(s)?\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 12, e: 7}. Give prob of picking 2 x and 2 e.\n' | b'231/646\n' | b'Four letters picked without replacement from {x: 12, e: 7}. Give prob of picking 2 x and 2 e.\n' | b'231/646\n' | deepmind/math_dataset |
b'Let y(b) be the third derivative of 0*b + 1/6*b**4 + 1/15*b**5 + b**2 + 2/3*b**3 + 0. Let d be y(-3). Solve -3*k - k = 3*j + d, 3*k + 4 = 2*j for k.\n' | b'-4\n' | b'Let y(b) be the third derivative of 0*b + 1/6*b**4 + 1/15*b**5 + b**2 + 2/3*b**3 + 0. Let d be y(-3). Solve -3*k - k = 3*j + d, 3*k + 4 = 2*j for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Let d(w) be the first derivative of w**4 + 0*w**2 - 4/3*w**3 + 0*w + 2. Find the third derivative of d(s) wrt s.\n' | b'24\n' | b'Let d(w) be the first derivative of w**4 + 0*w**2 - 4/3*w**3 + 0*w + 2. Find the third derivative of d(s) wrt s.\n' | b'24\n' | deepmind/math_dataset |
b'Suppose 2*a + w = 11, 2*a = -0*a + 5*w + 5. Suppose a*g - 16 = -1. Let y(r) = r**2 - 2*r + 2. Let k be y(g). Solve -13 = x - 3*h, x = -x - h - k for x.\n' | b'-4\n' | b'Suppose 2*a + w = 11, 2*a = -0*a + 5*w + 5. Suppose a*g - 16 = -1. Let y(r) = r**2 - 2*r + 2. Let k be y(g). Solve -13 = x - 3*h, x = -x - h - k for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Let a(q) = -q**2 + 39*q - 375. Let o be a(22). Let s(i) = 6*i + 14. Give s(o).\n' | b'8\n' | b'Let a(q) = -q**2 + 39*q - 375. Let o be a(22). Let s(i) = 6*i + 14. Give s(o).\n' | b'8\n' | deepmind/math_dataset |
b'Let j = 5090 + -5088. Let h(v) be the first derivative of j*v**4 + 0*v**2 + 10 + 8/3*v**3 + 0*v. Find the third derivative of h(p) wrt p.\n' | b'48\n' | b'Let j = 5090 + -5088. Let h(v) be the first derivative of j*v**4 + 0*v**2 + 10 + 8/3*v**3 + 0*v. Find the third derivative of h(p) wrt p.\n' | b'48\n' | deepmind/math_dataset |
b'Let l = 11 - 25. Let r be 2/(-7) + (-242)/l. Solve 11 = -3*x - 0*f + f, r = -5*x + 3*f for x.\n' | b'-4\n' | b'Let l = 11 - 25. Let r be 2/(-7) + (-242)/l. Solve 11 = -3*x - 0*f + f, r = -5*x + 3*f for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 2*h + 6 - 10 = l, 12 = 3*l + 2*h. Find the first derivative of -3 - 18 + 19*u**l - 12 - 7 wrt u.\n' | b'38*u\n' | b'Suppose 2*h + 6 - 10 = l, 12 = 3*l + 2*h. Find the first derivative of -3 - 18 + 19*u**l - 12 - 7 wrt u.\n' | b'38*u\n' | deepmind/math_dataset |
b'Two letters picked without replacement from puemb. What is prob of picking 1 e and 1 u?\n' | b'1/10\n' | b'Two letters picked without replacement from puemb. What is prob of picking 1 e and 1 u?\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose -23 = -4*a - 0*a - 5*g, -13 = -2*a - 3*g. Find the third derivative of 12*y**5 - a*y**2 - 13*y**2 + 5*y**5 - 4*y**5 wrt y.\n' | b'780*y**2\n' | b'Suppose -23 = -4*a - 0*a - 5*g, -13 = -2*a - 3*g. Find the third derivative of 12*y**5 - a*y**2 - 13*y**2 + 5*y**5 - 4*y**5 wrt y.\n' | b'780*y**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from igipg. What is prob of sequence gp?\n' | b'1/10\n' | b'Two letters picked without replacement from igipg. What is prob of sequence gp?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let s = -107 + 112. Solve -2*v + 12 - s = 3*q, v - 2*q = -7 for v.\n' | b'-1\n' | b'Let s = -107 + 112. Solve -2*v + 12 - s = 3*q, v - 2*q = -7 for v.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -4*q = 44 + 20. Let j be q/3*(0 + (-6)/4). Solve 0 = 2*a + j, 4*o + 0*o - 5*a - 24 = 0 for o.\n' | b'1\n' | b'Suppose -4*q = 44 + 20. Let j be q/3*(0 + (-6)/4). Solve 0 = 2*a + j, 4*o + 0*o - 5*a - 24 = 0 for o.\n' | b'1\n' | deepmind/math_dataset |
b'Find the second derivative of 3 + 31*i**3 - 67*i**3 - 129*i**5 + 36*i**3 + 2*i**4 + 14*i wrt i.\n' | b'-2580*i**3 + 24*i**2\n' | b'Find the second derivative of 3 + 31*i**3 - 67*i**3 - 129*i**5 + 36*i**3 + 2*i**4 + 14*i wrt i.\n' | b'-2580*i**3 + 24*i**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 7, w: 1, h: 1, g: 3, f: 4}. What is prob of sequence ha?\n' | b'7/240\n' | b'Two letters picked without replacement from {a: 7, w: 1, h: 1, g: 3, f: 4}. What is prob of sequence ha?\n' | b'7/240\n' | deepmind/math_dataset |
b'Suppose v + 0*v - 2 = 0. Suppose l + 2*i - 12 = -7, -3*l + 3*i + 51 = 0. Find the first derivative of -l*n + 8 + 0 - 10*n + v*n wrt n.\n' | b'-21\n' | b'Suppose v + 0*v - 2 = 0. Suppose l + 2*i - 12 = -7, -3*l + 3*i + 51 = 0. Find the first derivative of -l*n + 8 + 0 - 10*n + v*n wrt n.\n' | b'-21\n' | deepmind/math_dataset |
b'Calculate prob of sequence xxdv when four letters picked without replacement from {d: 8, x: 2, t: 2, v: 7, h: 1}.\n' | b'14/14535\n' | b'Calculate prob of sequence xxdv when four letters picked without replacement from {d: 8, x: 2, t: 2, v: 7, h: 1}.\n' | b'14/14535\n' | deepmind/math_dataset |
b'Suppose -7*g + 0*g = -88*g + 243. Let q(x) = x**3 - 6*x**2 + 5. Let s be q(6). Solve -m + s*d = d - 10, -g*m - 5*d = 21 for m.\n' | b'-2\n' | b'Suppose -7*g + 0*g = -88*g + 243. Let q(x) = x**3 - 6*x**2 + 5. Let s be q(6). Solve -m + s*d = d - 10, -g*m - 5*d = 21 for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Let v(x) be the first derivative of -4*x**3/3 + 3*x**2/2 - 2*x - 3. Let o(b) = -5*b**2 + 3*b - 2. Let f(g) = -3*o(g) + 4*v(g). Determine f(4).\n' | b'-6\n' | b'Let v(x) be the first derivative of -4*x**3/3 + 3*x**2/2 - 2*x - 3. Let o(b) = -5*b**2 + 3*b - 2. Let f(g) = -3*o(g) + 4*v(g). Determine f(4).\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of sequence tmmm when four letters picked without replacement from mttmmmmt?\n' | b'3/28\n' | b'What is prob of sequence tmmm when four letters picked without replacement from mttmmmmt?\n' | b'3/28\n' | deepmind/math_dataset |
b'Simplify (g/g**(-5/2)*g**(-12))/((g/(g/g**2)*g)/(g*g*(g*g*((g/(g**15*g)*g)/g)/g*g)/g)) assuming g is positive.\n' | b'g**(-47/2)\n' | b'Simplify (g/g**(-5/2)*g**(-12))/((g/(g/g**2)*g)/(g*g*(g*g*((g/(g**15*g)*g)/g)/g*g)/g)) assuming g is positive.\n' | b'g**(-47/2)\n' | deepmind/math_dataset |
b'What is prob of sequence ggg when three letters picked without replacement from gggzggzgg?\n' | b'5/12\n' | b'What is prob of sequence ggg when three letters picked without replacement from gggzggzgg?\n' | b'5/12\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 6, f: 11, o: 2}. Give prob of picking 1 f, 1 o, and 1 w.\n' | b'44/323\n' | b'Three letters picked without replacement from {w: 6, f: 11, o: 2}. Give prob of picking 1 f, 1 o, and 1 w.\n' | b'44/323\n' | deepmind/math_dataset |
b'Simplify ((u**(-9)*u**(-2))**(-42))**25 assuming u is positive.\n' | b'u**11550\n' | b'Simplify ((u**(-9)*u**(-2))**(-42))**25 assuming u is positive.\n' | b'u**11550\n' | deepmind/math_dataset |
b'Simplify ((x*x**(-3))**3*x**(-1/6)*x*x*x*((x**(-14)/x)/x)/x*x)**36 assuming x is positive.\n' | b'x**(-690)\n' | b'Simplify ((x*x**(-3))**3*x**(-1/6)*x*x*x*((x**(-14)/x)/x)/x*x)**36 assuming x is positive.\n' | b'x**(-690)\n' | deepmind/math_dataset |
b'Simplify (k*k/k**(-7))**(-1/29) assuming k is positive.\n' | b'k**(-9/29)\n' | b'Simplify (k*k/k**(-7))**(-1/29) assuming k is positive.\n' | b'k**(-9/29)\n' | deepmind/math_dataset |
b'Let k be ((-9)/12)/((-1)/24). Let b be ((-4)/6)/((-4)/k). Let r(m) = -m**3 + 4*m + 3. Let u be r(-2). Solve -u = -f + 5*c + b, -4*f + 8 = -4*c for f.\n' | b'1\n' | b'Let k be ((-9)/12)/((-1)/24). Let b be ((-4)/6)/((-4)/k). Let r(m) = -m**3 + 4*m + 3. Let u be r(-2). Solve -u = -f + 5*c + b, -4*f + 8 = -4*c for f.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 2*s - 2 + 48 = 0. Let a = -16 - s. Suppose 8*y = 4*y + 4. Solve -4*j - y = 3, -a = -2*u + 3*j for u.\n' | b'2\n' | b'Suppose 2*s - 2 + 48 = 0. Let a = -16 - s. Suppose 8*y = 4*y + 4. Solve -4*j - y = 3, -a = -2*u + 3*j for u.\n' | b'2\n' | deepmind/math_dataset |
b'Let z(d) be the first derivative of d**3/3 - 3*d**2 - 4*d - 31. Calculate z(5).\n' | b'-9\n' | b'Let z(d) be the first derivative of d**3/3 - 3*d**2 - 4*d - 31. Calculate z(5).\n' | b'-9\n' | deepmind/math_dataset |
b'Let m(y) = y**3 - 16*y**2 + 16*y + 3. Let g be m(15). Let o = g + -16. Solve -3*u = 3*l, 0*l + 16 = -o*u + 2*l for u.\n' | b'-4\n' | b'Let m(y) = y**3 - 16*y**2 + 16*y + 3. Let g be m(15). Let o = g + -16. Solve -3*u = 3*l, 0*l + 16 = -o*u + 2*l for u.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -3*c + 84 = 3*j, -2*c + 2*j = -3*j - 28. Suppose -2*u = -s + 2*u + c, 2*s = -4*u + 12. Let h = -12 + s. Solve a - 3*b = -2*a - 9, h = 4*b + 8 for a.\n' | b'-5\n' | b'Suppose -3*c + 84 = 3*j, -2*c + 2*j = -3*j - 28. Suppose -2*u = -s + 2*u + c, 2*s = -4*u + 12. Let h = -12 + s. Solve a - 3*b = -2*a - 9, h = 4*b + 8 for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 4, w: 4, j: 1, b: 4, a: 7}. Give prob of picking 2 t.\n' | b'3/95\n' | b'Two letters picked without replacement from {t: 4, w: 4, j: 1, b: 4, a: 7}. Give prob of picking 2 t.\n' | b'3/95\n' | deepmind/math_dataset |
b'Suppose z + 2 = 5*p, -37 = 5*z - p + 45. Let m = -16 - z. Differentiate 2*d + 4*d - d - 2 + m wrt d.\n' | b'5\n' | b'Suppose z + 2 = 5*p, -37 = 5*z - p + 45. Let m = -16 - z. Differentiate 2*d + 4*d - d - 2 + m wrt d.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence tmt when three letters picked without replacement from ttmmvlmztmm.\n' | b'1/33\n' | b'Calculate prob of sequence tmt when three letters picked without replacement from ttmmvlmztmm.\n' | b'1/33\n' | deepmind/math_dataset |
b'Suppose 5*z - 5*l = 2*z - 10, 2*z = 4*l - 8. Let q(j) = -j - 9. Give q(z).\n' | b'-9\n' | b'Suppose 5*z - 5*l = 2*z - 10, 2*z = 4*l - 8. Let q(j) = -j - 9. Give q(z).\n' | b'-9\n' | deepmind/math_dataset |
b'Find the first derivative of 693 - 1194 - 1061 - 331*t + 402*t + 908*t wrt t.\n' | b'979\n' | b'Find the first derivative of 693 - 1194 - 1061 - 331*t + 402*t + 908*t wrt t.\n' | b'979\n' | deepmind/math_dataset |
b'Let f(a) = 8 - 1 - 4 + 11 + a. Give f(-7).\n' | b'7\n' | b'Let f(a) = 8 - 1 - 4 + 11 + a. Give f(-7).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify ((m*m**(-8/5)/m*m)/(m*m**(11/3)/m))/((m*m*m*m*m**(-3)*m*m)/((m/(((m**(-15)*m*m)/m)/m))/m)) assuming m is positive.\n' | b'm**(116/15)\n' | b'Simplify ((m*m**(-8/5)/m*m)/(m*m**(11/3)/m))/((m*m*m*m*m**(-3)*m*m)/((m/(((m**(-15)*m*m)/m)/m))/m)) assuming m is positive.\n' | b'm**(116/15)\n' | deepmind/math_dataset |
b'Suppose 0 = 5*j - 3*c - 7, 2*j + 5*c = -0*j - 22. Let x be ((-2)/(-12))/j + (-148)/(-24). Solve -4*y - x = -5*n, 0 = -n + 4*y - 2 for n.\n' | b'2\n' | b'Suppose 0 = 5*j - 3*c - 7, 2*j + 5*c = -0*j - 22. Let x be ((-2)/(-12))/j + (-148)/(-24). Solve -4*y - x = -5*n, 0 = -n + 4*y - 2 for n.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 f when two letters picked without replacement from {y: 2, f: 2, c: 2}.\n' | b'1/15\n' | b'Calculate prob of picking 2 f when two letters picked without replacement from {y: 2, f: 2, c: 2}.\n' | b'1/15\n' | deepmind/math_dataset |
b'Calculate prob of sequence gsc when three letters picked without replacement from zzsscgzcsssscs.\n' | b'1/104\n' | b'Calculate prob of sequence gsc when three letters picked without replacement from zzsscgzcsssscs.\n' | b'1/104\n' | deepmind/math_dataset |
b'What is prob of picking 3 r when three letters picked without replacement from {r: 5, f: 3}?\n' | b'5/28\n' | b'What is prob of picking 3 r when three letters picked without replacement from {r: 5, f: 3}?\n' | b'5/28\n' | deepmind/math_dataset |
b'What is prob of sequence llt when three letters picked without replacement from vvvvvtvvll?\n' | b'1/360\n' | b'What is prob of sequence llt when three letters picked without replacement from vvvvvtvvll?\n' | b'1/360\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gwxlwlds. What is prob of sequence wxd?\n' | b'1/168\n' | b'Three letters picked without replacement from gwxlwlds. What is prob of sequence wxd?\n' | b'1/168\n' | deepmind/math_dataset |
b'Let n(u) = -u**3 - 7*u**2 + 10. Let x be 3 + ((-106)/(-2) - 3). Let b be x/4 + (-3)/12. Suppose 2*z = -1 - b. Give n(z).\n' | b'10\n' | b'Let n(u) = -u**3 - 7*u**2 + 10. Let x be 3 + ((-106)/(-2) - 3). Let b be x/4 + (-3)/12. Suppose 2*z = -1 - b. Give n(z).\n' | b'10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kovvoihh. Give prob of sequence iv.\n' | b'1/28\n' | b'Two letters picked without replacement from kovvoihh. Give prob of sequence iv.\n' | b'1/28\n' | deepmind/math_dataset |
b'Simplify ((a*a*a/((a/(a/(a*(((a/(a**(-3/13)/a))/a)/a*a)/a))*a)/a))/a**4)/(a**(-1/6))**41 assuming a is positive.\n' | b'a**(359/78)\n' | b'Simplify ((a*a*a/((a/(a/(a*(((a/(a**(-3/13)/a))/a)/a*a)/a))*a)/a))/a**4)/(a**(-1/6))**41 assuming a is positive.\n' | b'a**(359/78)\n' | deepmind/math_dataset |
b'What is prob of picking 1 r and 2 v when three letters picked without replacement from rvrvivdvz?\n' | b'1/7\n' | b'What is prob of picking 1 r and 2 v when three letters picked without replacement from rvrvivdvz?\n' | b'1/7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wxjwwjcjrrwxwcwr. Give prob of sequence rxrj.\n' | b'3/3640\n' | b'Four letters picked without replacement from wxjwwjcjrrwxwcwr. Give prob of sequence rxrj.\n' | b'3/3640\n' | deepmind/math_dataset |
b'Calculate prob of sequence blbb when four letters picked without replacement from bbbbbbbllbbbbllbbbbb.\n' | b'112/969\n' | b'Calculate prob of sequence blbb when four letters picked without replacement from bbbbbbbllbbbbllbbbbb.\n' | b'112/969\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aamof. Give prob of picking 1 f and 1 o.\n' | b'1/10\n' | b'Two letters picked without replacement from aamof. Give prob of picking 1 f and 1 o.\n' | b'1/10\n' | deepmind/math_dataset |
b'What is prob of sequence guky when four letters picked without replacement from lllgulugylykyluglgy?\n' | b'1/1938\n' | b'What is prob of sequence guky when four letters picked without replacement from lllgulugylykyluglgy?\n' | b'1/1938\n' | deepmind/math_dataset |
b'Simplify p/(p/(p*p*p**(-19)/p*p*p))*p**(-17)*p**(-9)*p**(-23) assuming p is positive.\n' | b'p**(-65)\n' | b'Simplify p/(p/(p*p*p**(-19)/p*p*p))*p**(-17)*p**(-9)*p**(-23) assuming p is positive.\n' | b'p**(-65)\n' | deepmind/math_dataset |
b'Let x(v) be the first derivative of -1/3*v**3 + 11/2*v**2 + 25 + 19*v. Calculate x(13).\n' | b'-7\n' | b'Let x(v) be the first derivative of -1/3*v**3 + 11/2*v**2 + 25 + 19*v. Calculate x(13).\n' | b'-7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 5, j: 9}. Give prob of sequence jrrr.\n' | b'45/2002\n' | b'Four letters picked without replacement from {r: 5, j: 9}. Give prob of sequence jrrr.\n' | b'45/2002\n' | deepmind/math_dataset |
b'Suppose 0 = -13*q - 13*q + 182. Let y be 1 + (q - 4/2). Let o(d) = d**2 - 9*d + 5. Determine o(y).\n' | b'-13\n' | b'Suppose 0 = -13*q - 13*q + 182. Let y be 1 + (q - 4/2). Let o(d) = d**2 - 9*d + 5. Determine o(y).\n' | b'-13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 2, o: 1, i: 1, e: 1, f: 1, c: 1}. Give prob of picking 1 m and 1 f.\n' | b'2/21\n' | b'Two letters picked without replacement from {m: 2, o: 1, i: 1, e: 1, f: 1, c: 1}. Give prob of picking 1 m and 1 f.\n' | b'2/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xppxxxpxpiipipx. Give prob of picking 2 x.\n' | b'1/7\n' | b'Two letters picked without replacement from xppxxxpxpiipipx. Give prob of picking 2 x.\n' | b'1/7\n' | deepmind/math_dataset |
b'Calculate prob of sequence lb when two letters picked without replacement from {i: 1, f: 1, l: 2, v: 3, x: 1, b: 3}.\n' | b'3/55\n' | b'Calculate prob of sequence lb when two letters picked without replacement from {i: 1, f: 1, l: 2, v: 3, x: 1, b: 3}.\n' | b'3/55\n' | deepmind/math_dataset |
b'Let o(b) be the second derivative of -b**4/12 - 2*b**3 + 17*b**2/2 + 4*b. Let n be o(-13). Solve 0 = -2*j + n*r - 8, j + 4*j - 25 = -5*r for j.\n' | b'2\n' | b'Let o(b) be the second derivative of -b**4/12 - 2*b**3 + 17*b**2/2 + 4*b. Let n be o(-13). Solve 0 = -2*j + n*r - 8, j + 4*j - 25 = -5*r for j.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 k and 1 f when four letters picked without replacement from {k: 11, w: 3, f: 4}.\n' | b'11/51\n' | b'Calculate prob of picking 3 k and 1 f when four letters picked without replacement from {k: 11, w: 3, f: 4}.\n' | b'11/51\n' | deepmind/math_dataset |
b'Simplify (i/i**(-7))/i**(-3/2)*i**(3/7)/((i*i/i**(-14))/i) assuming i is positive.\n' | b'i**(-71/14)\n' | b'Simplify (i/i**(-7))/i**(-3/2)*i**(3/7)/((i*i/i**(-14))/i) assuming i is positive.\n' | b'i**(-71/14)\n' | deepmind/math_dataset |
b'Let z be 3*-3*(-35)/63. Find the third derivative of 22*f**2 + z*f**2 - 45*f**3 - 7 - 32*f**2 wrt f.\n' | b'-270\n' | b'Let z be 3*-3*(-35)/63. Find the third derivative of 22*f**2 + z*f**2 - 45*f**3 - 7 - 32*f**2 wrt f.\n' | b'-270\n' | deepmind/math_dataset |
b'Let s = -1 - -4. Solve 0 = -s*b - 3*w + 6, -4*b + 14 = 5*w + 3 for b.\n' | b'-1\n' | b'Let s = -1 - -4. Solve 0 = -s*b - 3*w + 6, -4*b + 14 = 5*w + 3 for b.\n' | b'-1\n' | deepmind/math_dataset |
b'Let a = 4080 + -4078. Solve -16*b + 11 = -15*b + 2*s, -4 = -a*b + 2*s for b.\n' | b'5\n' | b'Let a = 4080 + -4078. Solve -16*b + 11 = -15*b + 2*s, -4 = -a*b + 2*s for b.\n' | b'5\n' | deepmind/math_dataset |
b'Let l(k) = k**2 + 3*k - 4. Let h be l(-4). Suppose -c + h = -2. Find the second derivative of -c*a**2 - 6 + 3*a + 6 wrt a.\n' | b'-4\n' | b'Let l(k) = k**2 + 3*k - 4. Let h be l(-4). Suppose -c + h = -2. Find the second derivative of -c*a**2 - 6 + 3*a + 6 wrt a.\n' | b'-4\n' | deepmind/math_dataset |
b'Let y(q) be the first derivative of -2*q**3 + q**2/2 - 8*q - 7. Let x(d) = 5*d**2 - 2*d + 7. Let s(w) = 5*x(w) + 4*y(w). Give s(6).\n' | b'3\n' | b'Let y(q) be the first derivative of -2*q**3 + q**2/2 - 8*q - 7. Let x(d) = 5*d**2 - 2*d + 7. Let s(w) = 5*x(w) + 4*y(w). Give s(6).\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence wy when two letters picked without replacement from wfbkwyw?\n' | b'1/14\n' | b'What is prob of sequence wy when two letters picked without replacement from wfbkwyw?\n' | b'1/14\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f, 1 u, and 1 n when three letters picked without replacement from bunuubbnbbnfdw.\n' | b'9/364\n' | b'Calculate prob of picking 1 f, 1 u, and 1 n when three letters picked without replacement from bunuubbnbbnfdw.\n' | b'9/364\n' | deepmind/math_dataset |
b'Let u be (-2*1)/(6/27). Let o(s) = s**3 - 12*s**2 + 9*s + 13. Let r be o(11). Let i = u - r. Solve 4*d = -6*m + m, i = 4*m for d.\n' | b'0\n' | b'Let u be (-2*1)/(6/27). Let o(s) = s**3 - 12*s**2 + 9*s + 13. Let r be o(11). Let i = u - r. Solve 4*d = -6*m + m, i = 4*m for d.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 1, g: 1, n: 2, i: 1, w: 2, s: 1}. What is prob of sequence wwn?\n' | b'1/84\n' | b'Three letters picked without replacement from {f: 1, g: 1, n: 2, i: 1, w: 2, s: 1}. What is prob of sequence wwn?\n' | b'1/84\n' | deepmind/math_dataset |
b'Let i(a) = 5*a**2 + a - 4. Let d(t) = t + 2 + 1 + 2*t**2 - 6 + 3*t**2. Let j(x) = -4*d(x) + 3*i(x). Let f be 6/300*-5 - 162/180. What is j(f)?\n' | b'-4\n' | b'Let i(a) = 5*a**2 + a - 4. Let d(t) = t + 2 + 1 + 2*t**2 - 6 + 3*t**2. Let j(x) = -4*d(x) + 3*i(x). Let f be 6/300*-5 - 162/180. What is j(f)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let h = -29 + 31. Let j(p) = -p + h*p + 0*p. Let c(w) = -5*w**2 - 4*w - 6. Let q(m) = -c(m) - 4*j(m). Differentiate q(x) wrt x.\n' | b'10*x\n' | b'Let h = -29 + 31. Let j(p) = -p + h*p + 0*p. Let c(w) = -5*w**2 - 4*w - 6. Let q(m) = -c(m) - 4*j(m). Differentiate q(x) wrt x.\n' | b'10*x\n' | deepmind/math_dataset |
b'Suppose h - 3*h = s + 5, -4*s = -h + 11. Let x(t) = t**2 + t + 1. What is x(h)?\n' | b'1\n' | b'Suppose h - 3*h = s + 5, -4*s = -h + 11. Let x(t) = t**2 + t + 1. What is x(h)?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 t, 1 k, and 2 e when four letters picked without replacement from eezeezzkezeeetek?\n' | b'18/455\n' | b'What is prob of picking 1 t, 1 k, and 2 e when four letters picked without replacement from eezeezzkezeeetek?\n' | b'18/455\n' | deepmind/math_dataset |
b'Simplify (y**(-2/5)/y)/(y*y*y**6*y)*(y*y**(-1))**(-26) assuming y is positive.\n' | b'y**(-52/5)\n' | b'Simplify (y**(-2/5)/y)/(y*y*y**6*y)*(y*y**(-1))**(-26) assuming y is positive.\n' | b'y**(-52/5)\n' | deepmind/math_dataset |
b'Simplify (k**(-4))**(-36)*k/((k/(k*k**(-1/3)*k)*k)/k)*k*k/k**(-10) assuming k is positive.\n' | b'k**(473/3)\n' | b'Simplify (k**(-4))**(-36)*k/((k/(k*k**(-1/3)*k)*k)/k)*k*k/k**(-10) assuming k is positive.\n' | b'k**(473/3)\n' | deepmind/math_dataset |
b'Let a(z) be the first derivative of 5*z**6/6 - 459*z**4/2 - 172*z**2 - 3*z + 8451. What is the second derivative of a(r) wrt r?\n' | b'100*r**3 - 5508*r\n' | b'Let a(z) be the first derivative of 5*z**6/6 - 459*z**4/2 - 172*z**2 - 3*z + 8451. What is the second derivative of a(r) wrt r?\n' | b'100*r**3 - 5508*r\n' | deepmind/math_dataset |
b'Let p(u) = 3*u**2 - 3*u + 3. Let f be p(1). Let v be (-11)/(-66)*1*f*6. Solve 4*r + 6 = 2*w, w = v*r - 7*r - 21 for w.\n' | b'-5\n' | b'Let p(u) = 3*u**2 - 3*u + 3. Let f be p(1). Let v be (-11)/(-66)*1*f*6. Solve 4*r + 6 = 2*w, w = v*r - 7*r - 21 for w.\n' | b'-5\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.