question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Simplify i/(i/(i*(i/(i**(-5)/i))/i))*i/(i*i*i/(((i*i/i**0)/i)/i))*i*i**(-7)/i*i**(1/11)/i assuming i is positive.\n' | b'i**(-32/11)\n' | b'Simplify i/(i/(i*(i/(i**(-5)/i))/i))*i/(i*i*i/(((i*i/i**0)/i)/i))*i*i**(-7)/i*i**(1/11)/i assuming i is positive.\n' | b'i**(-32/11)\n' | deepmind/math_dataset |
b'Let b(t) = 17 - 6*t + 3*t**2 + 13 + 34 - 2*t**2 + 30*t. Determine b(-21).\n' | b'1\n' | b'Let b(t) = 17 - 6*t + 3*t**2 + 13 + 34 - 2*t**2 + 30*t. Determine b(-21).\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence ogxg when four letters picked without replacement from zyoooogggogyxgoo?\n' | b'1/312\n' | b'What is prob of sequence ogxg when four letters picked without replacement from zyoooogggogyxgoo?\n' | b'1/312\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vvkwvwnkfvvvvknvvvv. Give prob of sequence kvkv.\n' | b'55/7752\n' | b'Four letters picked without replacement from vvkwvwnkfvvvvknvvvv. Give prob of sequence kvkv.\n' | b'55/7752\n' | deepmind/math_dataset |
b'Calculate prob of sequence eqae when four letters picked without replacement from aaqaqajeaaejqeqqqqa.\n' | b'49/15504\n' | b'Calculate prob of sequence eqae when four letters picked without replacement from aaqaqajeaaejqeqqqqa.\n' | b'49/15504\n' | deepmind/math_dataset |
b'Suppose 2*v - p - 84 = 3*p, -5*v + 218 = -2*p. Suppose -7*y = -3*y - v. Suppose -6*x = -143 + y. Solve 2*c - 2*q - 6 = 0, c - 4*q = 2*c + x for c.\n' | b'-2\n' | b'Suppose 2*v - p - 84 = 3*p, -5*v + 218 = -2*p. Suppose -7*y = -3*y - v. Suppose -6*x = -143 + y. Solve 2*c - 2*q - 6 = 0, c - 4*q = 2*c + x for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Let h(b) be the second derivative of b**5/10 + 239*b**4/4 - 187*b**3/3 - 610*b. What is the second derivative of h(m) wrt m?\n' | b'12*m + 1434\n' | b'Let h(b) be the second derivative of b**5/10 + 239*b**4/4 - 187*b**3/3 - 610*b. What is the second derivative of h(m) wrt m?\n' | b'12*m + 1434\n' | deepmind/math_dataset |
b'What is prob of picking 1 r, 1 l, 1 z, and 1 n when four letters picked without replacement from oouruuorlnrrozurrn?\n' | b'1/255\n' | b'What is prob of picking 1 r, 1 l, 1 z, and 1 n when four letters picked without replacement from oouruuorlnrrozurrn?\n' | b'1/255\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 1, s: 2, h: 1, z: 1}. What is prob of picking 1 s and 1 z?\n' | b'1/5\n' | b'Two letters picked without replacement from {o: 1, s: 2, h: 1, z: 1}. What is prob of picking 1 s and 1 z?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let s = 512 - 372. Let g be (-28)/s*5/(-1). Solve -3*i = -2*m - g, -3*m + 9 = m + 5*i for m.\n' | b'1\n' | b'Let s = 512 - 372. Let g be (-28)/s*5/(-1). Solve -3*i = -2*m - g, -3*m + 9 = m + 5*i for m.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((d/(d/(d/(d/(d*((d*d/(((d**1*d)/d)/d))/d)/d)))*d))**38)**(-1/9) assuming d is positive.\n' | b'1\n' | b'Simplify ((d/(d/(d/(d/(d*((d*d/(((d**1*d)/d)/d))/d)/d)))*d))**38)**(-1/9) assuming d is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Let r(p) = -5*p - 27. Let c be r(-6). Solve -2*z - 1 = -c*g - 20, -3*z + 24 = -3*g for z.\n' | b'5\n' | b'Let r(p) = -5*p - 27. Let c be r(-6). Solve -2*z - 1 = -c*g - 20, -3*z + 24 = -3*g for z.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence tt when two letters picked without replacement from {m: 3, k: 6, t: 6}?\n' | b'1/7\n' | b'What is prob of sequence tt when two letters picked without replacement from {m: 3, k: 6, t: 6}?\n' | b'1/7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 10}. What is prob of sequence gggg?\n' | b'1\n' | b'Four letters picked without replacement from {g: 10}. What is prob of sequence gggg?\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence te when two letters picked without replacement from {t: 1, e: 1, i: 1, s: 1, c: 1}.\n' | b'1/20\n' | b'Calculate prob of sequence te when two letters picked without replacement from {t: 1, e: 1, i: 1, s: 1, c: 1}.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let z(x) = -3 + 5*x + 3 + x**2 - 6. Suppose 0 = 2*a - 8, -3*i + 3*a - 20 = i. Let v be (-3 - (1 + i)) + -4. What is z(v)?\n' | b'0\n' | b'Let z(x) = -3 + 5*x + 3 + x**2 - 6. Suppose 0 = 2*a - 8, -3*i + 3*a - 20 = i. Let v be (-3 - (1 + i)) + -4. What is z(v)?\n' | b'0\n' | deepmind/math_dataset |
b'Let f = -13 - -16. Let d = 1 - -4. Suppose -d*g = -f*g. Solve 12 = -2*h - 5*l - 1, g = 4*h - 4*l - 16 for h.\n' | b'1\n' | b'Let f = -13 - -16. Let d = 1 - -4. Suppose -d*g = -f*g. Solve 12 = -2*h - 5*l - 1, g = 4*h - 4*l - 16 for h.\n' | b'1\n' | deepmind/math_dataset |
b'Let o(g) = 5*g**2 - 5*g + 2. Let f(c) = 5 + c**2 - 6*c + 8*c**2 - 3*c + 0*c. Let b(t) = 2*f(t) - 5*o(t). Find the second derivative of b(q) wrt q.\n' | b'-14\n' | b'Let o(g) = 5*g**2 - 5*g + 2. Let f(c) = 5 + c**2 - 6*c + 8*c**2 - 3*c + 0*c. Let b(t) = 2*f(t) - 5*o(t). Find the second derivative of b(q) wrt q.\n' | b'-14\n' | deepmind/math_dataset |
b'Suppose -4*p + 3 = -3*u + 5, 2*u - 5*p + 1 = 0. Let z(k) = 15*k**u - 14*k**2 + 3 + 3*k - 5*k. Give z(4).\n' | b'11\n' | b'Suppose -4*p + 3 = -3*u + 5, 2*u - 5*p + 1 = 0. Let z(k) = 15*k**u - 14*k**2 + 3 + 3*k - 5*k. Give z(4).\n' | b'11\n' | deepmind/math_dataset |
b'Let s be -1*1*7/7. Let k(j) = 58*j**2 + j - 12. Let x(m) = m**2 - m. Let z(v) = s*x(v) - k(v). What is the derivative of z(h) wrt h?\n' | b'-118*h\n' | b'Let s be -1*1*7/7. Let k(j) = 58*j**2 + j - 12. Let x(m) = m**2 - m. Let z(v) = s*x(v) - k(v). What is the derivative of z(h) wrt h?\n' | b'-118*h\n' | deepmind/math_dataset |
b'Let m be ((-5)/2)/(9/(-54)). Solve -4*i + 12 = -3*g, 5*i - m = -0*i + g for i.\n' | b'3\n' | b'Let m be ((-5)/2)/(9/(-54)). Solve -4*i + 12 = -3*g, 5*i - m = -0*i + g for i.\n' | b'3\n' | deepmind/math_dataset |
b'Let b be 2/(-1) + (-4)/12*-18. Solve 0 = b*w + u + 12, 9 = -w - 2*w + 3*u for w.\n' | b'-3\n' | b'Let b be 2/(-1) + (-4)/12*-18. Solve 0 = b*w + u + 12, 9 = -w - 2*w + 3*u for w.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 1, i: 3, b: 4}. Give prob of sequence bbb.\n' | b'1/14\n' | b'Three letters picked without replacement from {f: 1, i: 3, b: 4}. Give prob of sequence bbb.\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify ((v**(-11/3)/v)/v*v)/v**(1/12) assuming v is positive.\n' | b'v**(-19/4)\n' | b'Simplify ((v**(-11/3)/v)/v*v)/v**(1/12) assuming v is positive.\n' | b'v**(-19/4)\n' | deepmind/math_dataset |
b'Differentiate -6498 - 795*j**2 + 3843*j**2 + 538 + 2884*j**2 with respect to j.\n' | b'11864*j\n' | b'Differentiate -6498 - 795*j**2 + 3843*j**2 + 538 + 2884*j**2 with respect to j.\n' | b'11864*j\n' | deepmind/math_dataset |
b'Suppose 0 = 2*o - 6*o + 16. Suppose 0 = -6*i + o*i + 6. Suppose -q + 3*q + 9 = -3*g, 0 = i*g + 15. Solve 7 = x + 4*s, -s = -2*x - q*s + 2 for x.\n' | b'-1\n' | b'Suppose 0 = 2*o - 6*o + 16. Suppose 0 = -6*i + o*i + 6. Suppose -q + 3*q + 9 = -3*g, 0 = i*g + 15. Solve 7 = x + 4*s, -s = -2*x - q*s + 2 for x.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 2, f: 9}. Give prob of sequence cc.\n' | b'1/55\n' | b'Two letters picked without replacement from {c: 2, f: 9}. Give prob of sequence cc.\n' | b'1/55\n' | deepmind/math_dataset |
b'Let c(o) = -22*o**2 - 93*o - 16. Let i be c(-4). Solve 5*l + 1 = i*h, 5*h - 4 = -2*l + 22 for h.\n' | b'4\n' | b'Let c(o) = -22*o**2 - 93*o - 16. Let i be c(-4). Solve 5*l + 1 = i*h, 5*h - 4 = -2*l + 22 for h.\n' | b'4\n' | deepmind/math_dataset |
b'Let w(p) = 135*p**2 + 33*p + 13096. Let v(d) = -67*d**2 - 15*d - 6547. Let r(g) = 5*v(g) + 3*w(g). Find the first derivative of r(o) wrt o.\n' | b'140*o + 24\n' | b'Let w(p) = 135*p**2 + 33*p + 13096. Let v(d) = -67*d**2 - 15*d - 6547. Let r(g) = 5*v(g) + 3*w(g). Find the first derivative of r(o) wrt o.\n' | b'140*o + 24\n' | deepmind/math_dataset |
b'Simplify (q**(3/2)/(q**(-4)*q)*(q**6*q)/(q**4/q))/((q**2*((q*(q**(3/4)/q)/q)/q)/q)/((q*q**(-2/11)/q)/q*q*q**(-1/6))) assuming q is positive.\n' | b'q**(1109/132)\n' | b'Simplify (q**(3/2)/(q**(-4)*q)*(q**6*q)/(q**4/q))/((q**2*((q*(q**(3/4)/q)/q)/q)/q)/((q*q**(-2/11)/q)/q*q*q**(-1/6))) assuming q is positive.\n' | b'q**(1109/132)\n' | deepmind/math_dataset |
b'Let o(q) be the third derivative of 33*q**5/20 - 15*q**3 + 22*q**2 - 1. What is the derivative of o(s) wrt s?\n' | b'198*s\n' | b'Let o(q) be the third derivative of 33*q**5/20 - 15*q**3 + 22*q**2 - 1. What is the derivative of o(s) wrt s?\n' | b'198*s\n' | deepmind/math_dataset |
b'Simplify ((d/(d/(d**(7/8)*d)))/(d/d**(-4/21))*(d/(d/(d**(2/9)*d)))/(d**(-3/8)/d))**(2/5) assuming d is positive.\n' | b'd**(827/630)\n' | b'Simplify ((d/(d/(d**(7/8)*d)))/(d/d**(-4/21))*(d/(d/(d**(2/9)*d)))/(d**(-3/8)/d))**(2/5) assuming d is positive.\n' | b'd**(827/630)\n' | deepmind/math_dataset |
b'Simplify (g**(-1)/(g/(g*g**(1/4)*g)))**(-35/4)/((g**2*g)/g**(2/7)*(g**(-3)/g)/(g/g**(-1/2))) assuming g is positive.\n' | b'g**(67/112)\n' | b'Simplify (g**(-1)/(g/(g*g**(1/4)*g)))**(-35/4)/((g**2*g)/g**(2/7)*(g**(-3)/g)/(g/g**(-1/2))) assuming g is positive.\n' | b'g**(67/112)\n' | deepmind/math_dataset |
b'Simplify q**(1/11)*q*q*q/q**(6/19) assuming q is positive.\n' | b'q**(580/209)\n' | b'Simplify q**(1/11)*q*q*q/q**(6/19) assuming q is positive.\n' | b'q**(580/209)\n' | deepmind/math_dataset |
b'Let u(d) be the second derivative of d**9/1680 + d**7/180 - 2*d**4/3 + 11*d. Let z(m) be the third derivative of u(m). Find the third derivative of z(v) wrt v.\n' | b'216*v\n' | b'Let u(d) be the second derivative of d**9/1680 + d**7/180 - 2*d**4/3 + 11*d. Let z(m) be the third derivative of u(m). Find the third derivative of z(v) wrt v.\n' | b'216*v\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, f: 1, p: 6, v: 1, q: 2}.\n' | b'1/66\n' | b'Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, f: 1, p: 6, v: 1, q: 2}.\n' | b'1/66\n' | deepmind/math_dataset |
b'Simplify ((d*d*d/d**(-14))/(d**(-3/2)*d*d))**(28/5) assuming d is positive.\n' | b'd**(462/5)\n' | b'Simplify ((d*d*d/d**(-14))/(d**(-3/2)*d*d))**(28/5) assuming d is positive.\n' | b'd**(462/5)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nknnnynkynkynkknck. Give prob of sequence kn.\n' | b'8/51\n' | b'Two letters picked without replacement from nknnnynkynkynkknck. Give prob of sequence kn.\n' | b'8/51\n' | deepmind/math_dataset |
b'Simplify (((f*f/(f**(1/3)*f)*f)**(1/38)*f**(-1)*f*(f*f**(-2/11)/f)/f)**3)**(11/9) assuming f is positive.\n' | b'f**(-1427/342)\n' | b'Simplify (((f*f/(f**(1/3)*f)*f)**(1/38)*f**(-1)*f*(f*f**(-2/11)/f)/f)**3)**(11/9) assuming f is positive.\n' | b'f**(-1427/342)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 7, o: 12, p: 1}. Give prob of picking 1 o and 1 p.\n' | b'6/95\n' | b'Two letters picked without replacement from {e: 7, o: 12, p: 1}. Give prob of picking 1 o and 1 p.\n' | b'6/95\n' | deepmind/math_dataset |
b'Let t = -2 - 8. Let h be 184/40 - 4/t. Suppose 0 = 4*l - 2*i - 10, -5*i = -4*l - 0*i - h. Solve u = -f - 5, l = 4*u - 0*f - f for u.\n' | b'0\n' | b'Let t = -2 - 8. Let h be 184/40 - 4/t. Suppose 0 = 4*l - 2*i - 10, -5*i = -4*l - 0*i - h. Solve u = -f - 5, l = 4*u - 0*f - f for u.\n' | b'0\n' | deepmind/math_dataset |
b'Let w(x) = -5*x**4 + 5*x + 4. Let g(r) = -5*r**4 + 4*r + 3. Let m(o) = 4*g(o) - 3*w(o). Find the second derivative of m(k) wrt k.\n' | b'-60*k**2\n' | b'Let w(x) = -5*x**4 + 5*x + 4. Let g(r) = -5*r**4 + 4*r + 3. Let m(o) = 4*g(o) - 3*w(o). Find the second derivative of m(k) wrt k.\n' | b'-60*k**2\n' | deepmind/math_dataset |
b'Suppose 5*l + 25 = -4*c, -2*c - 3*l + l = 12. Let w be c/2*(0 - 2). Let p = 24 + -21. Solve -n = -2*n - w*v - p, -5*v = -4*n - 12 for n.\n' | b'-3\n' | b'Suppose 5*l + 25 = -4*c, -2*c - 3*l + l = 12. Let w be c/2*(0 - 2). Let p = 24 + -21. Solve -n = -2*n - w*v - p, -5*v = -4*n - 12 for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -3 = -3*a + 6. Let c(m) be the second derivative of -1/12*m**4 + 0 + 4*m**2 + 5*m + m**a. What is c(7)?\n' | b'1\n' | b'Suppose -3 = -3*a + 6. Let c(m) be the second derivative of -1/12*m**4 + 0 + 4*m**2 + 5*m + m**a. What is c(7)?\n' | b'1\n' | deepmind/math_dataset |
b'Let i(r) be the first derivative of r**5/5 + 26*r**3/3 - 10. Find the third derivative of i(n) wrt n.\n' | b'24*n\n' | b'Let i(r) be the first derivative of r**5/5 + 26*r**3/3 - 10. Find the third derivative of i(n) wrt n.\n' | b'24*n\n' | deepmind/math_dataset |
b'Calculate prob of sequence rpep when four letters picked without replacement from pecrecperedrdeeee.\n' | b'1/1190\n' | b'Calculate prob of sequence rpep when four letters picked without replacement from pecrecperedrdeeee.\n' | b'1/1190\n' | deepmind/math_dataset |
b'Simplify d**(-17)/(d**9*d) assuming d is positive.\n' | b'd**(-27)\n' | b'Simplify d**(-17)/(d**9*d) assuming d is positive.\n' | b'd**(-27)\n' | deepmind/math_dataset |
b'Suppose 3*s + 30 = -3*u, 5*s + 3*u + 34 = 2*u. Let g(d) = -d**2 - 11*d - 1. Give g(s).\n' | b'29\n' | b'Suppose 3*s + 30 = -3*u, 5*s + 3*u + 34 = 2*u. Let g(d) = -d**2 - 11*d - 1. Give g(s).\n' | b'29\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pnnppnnnzknpz. What is prob of sequence znpn?\n' | b'2/143\n' | b'Four letters picked without replacement from pnnppnnnzknpz. What is prob of sequence znpn?\n' | b'2/143\n' | deepmind/math_dataset |
b'Simplify ((u/u**(6/11))/u*u**11*(u*u**(3/7))/u**(-3/7))**16 assuming u is positive.\n' | b'u**(15168/77)\n' | b'Simplify ((u/u**(6/11))/u*u**11*(u*u**(3/7))/u**(-3/7))**16 assuming u is positive.\n' | b'u**(15168/77)\n' | deepmind/math_dataset |
b'Suppose a - 8 + 5 = 0. Suppose 3*o - 13 = -r, r + 2*o - a = 6*r. Let j(c) = -4*c**3 + 2*c**2 + 5. Let w(b) = 1. Let t(i) = -j(i) + 6*w(i). Calculate t(r).\n' | b'3\n' | b'Suppose a - 8 + 5 = 0. Suppose 3*o - 13 = -r, r + 2*o - a = 6*r. Let j(c) = -4*c**3 + 2*c**2 + 5. Let w(b) = 1. Let t(i) = -j(i) + 6*w(i). Calculate t(r).\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 2*a - 22 = -3*m - 7, -2*a = -3*m - 45. Let q = -8 + a. Solve -3*u - 2*r = 2*r + 3, r + q = -2*u for u.\n' | b'-5\n' | b'Suppose 2*a - 22 = -3*m - 7, -2*a = -3*m - 45. Let q = -8 + a. Solve -3*u - 2*r = 2*r + 3, r + q = -2*u for u.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose m - h + 4 = 0, 2*m + 7 = -5*h + 34. Suppose 4*s - 41 = -5*q, -3*q + 70*s + 7 = 68*s. What is the first derivative of -9*t + 9*t - 4 + q*t**3 - m wrt t?\n' | b'15*t**2\n' | b'Suppose m - h + 4 = 0, 2*m + 7 = -5*h + 34. Suppose 4*s - 41 = -5*q, -3*q + 70*s + 7 = 68*s. What is the first derivative of -9*t + 9*t - 4 + q*t**3 - m wrt t?\n' | b'15*t**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qmqqqqqmqqqqqqqmmq. What is prob of sequence mqmq?\n' | b'91/3060\n' | b'Four letters picked without replacement from qmqqqqqmqqqqqqqmmq. What is prob of sequence mqmq?\n' | b'91/3060\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rrgggrsrrs. Give prob of sequence gg.\n' | b'1/15\n' | b'Two letters picked without replacement from rrgggrsrrs. Give prob of sequence gg.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let l(z) = -z - 4. Let b be l(-8). Solve -5*w + 6 + 9 = 0, 22 = -2*u + b*w for u.\n' | b'-5\n' | b'Let l(z) = -z - 4. Let b be l(-8). Solve -5*w + 6 + 9 = 0, 22 = -2*u + b*w for u.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of picking 4 u when four letters picked without replacement from uuuauuuuua?\n' | b'1/3\n' | b'What is prob of picking 4 u when four letters picked without replacement from uuuauuuuua?\n' | b'1/3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from oosssssssssoss. Give prob of sequence ooo.\n' | b'1/364\n' | b'Three letters picked without replacement from oosssssssssoss. Give prob of sequence ooo.\n' | b'1/364\n' | deepmind/math_dataset |
b'Simplify ((c/c**(3/14))**41/((c*(c*c*c**(-1/2))/c)/c)**(1/12))**38 assuming c is positive.\n' | b'c**(102695/84)\n' | b'Simplify ((c/c**(3/14))**41/((c*(c*c*c**(-1/2))/c)/c)**(1/12))**38 assuming c is positive.\n' | b'c**(102695/84)\n' | deepmind/math_dataset |
b'Let p(o) be the third derivative of o**4/24 - o**3 + 2*o**2. Let j(x) = -x + 10. Let f be j(3). Let h = 13 - f. Determine p(h).\n' | b'0\n' | b'Let p(o) be the third derivative of o**4/24 - o**3 + 2*o**2. Let j(x) = -x + 10. Let f be j(3). Let h = 13 - f. Determine p(h).\n' | b'0\n' | deepmind/math_dataset |
b'Let k(n) be the second derivative of -n**9/72 + n**5/20 - 5*n**2/2 - 3*n. Let b(g) be the first derivative of k(g). What is the third derivative of b(z) wrt z?\n' | b'-840*z**3\n' | b'Let k(n) be the second derivative of -n**9/72 + n**5/20 - 5*n**2/2 - 3*n. Let b(g) be the first derivative of k(g). What is the third derivative of b(z) wrt z?\n' | b'-840*z**3\n' | deepmind/math_dataset |
b'Simplify ((s*s**(1/18))/s**(-1)*s*s**(-29)*s**(5/3))**(-1/49) assuming s is positive.\n' | b's**(437/882)\n' | b'Simplify ((s*s**(1/18))/s**(-1)*s*s**(-29)*s**(5/3))**(-1/49) assuming s is positive.\n' | b's**(437/882)\n' | deepmind/math_dataset |
b'Simplify ((y**(2/5))**(-3/8))**(-41)/(((y*y**(5/4)*y*y)/y)/y**(2/25))**(-5/19) assuming y is positive.\n' | b'y**(1327/190)\n' | b'Simplify ((y**(2/5))**(-3/8))**(-41)/(((y*y**(5/4)*y*y)/y)/y**(2/25))**(-5/19) assuming y is positive.\n' | b'y**(1327/190)\n' | deepmind/math_dataset |
b'Suppose 16 = r + 14. Suppose 2 + r = 2*x. Solve 4 = u - 3*q, -2*u + q = -x - 1 for u.\n' | b'1\n' | b'Suppose 16 = r + 14. Suppose 2 + r = 2*x. Solve 4 = u - 3*q, -2*u + q = -x - 1 for u.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (s*s/(s*s**8))**(4/9)*(s**(-2/31))**29 assuming s is positive.\n' | b's**(-1390/279)\n' | b'Simplify (s*s/(s*s**8))**(4/9)*(s**(-2/31))**29 assuming s is positive.\n' | b's**(-1390/279)\n' | deepmind/math_dataset |
b'Let w(g) = 389*g**2 + 17*g - 68. Let b(c) = -130*c**2 - 6*c + 23. Let l(q) = 17*b(q) + 6*w(q). What is the derivative of l(t) wrt t?\n' | b'248*t\n' | b'Let w(g) = 389*g**2 + 17*g - 68. Let b(c) = -130*c**2 - 6*c + 23. Let l(q) = 17*b(q) + 6*w(q). What is the derivative of l(t) wrt t?\n' | b'248*t\n' | deepmind/math_dataset |
b'Suppose 5*x - 25 = -3*c, -4*x - 3*c - 2*c = -20. Let t = x + 0. Solve 5*d - 15 = t*q, 0 = 4*q - d - 2*d + 14 for q.\n' | b'-5\n' | b'Suppose 5*x - 25 = -3*c, -4*x - 3*c - 2*c = -20. Let t = x + 0. Solve 5*d - 15 = t*q, 0 = 4*q - d - 2*d + 14 for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 2 o when three letters picked without replacement from {o: 3, r: 5, c: 5}.\n' | b'15/286\n' | b'Calculate prob of picking 1 r and 2 o when three letters picked without replacement from {o: 3, r: 5, c: 5}.\n' | b'15/286\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nbbbrbnrnnbrbnrb. What is prob of sequence rrn?\n' | b'1/56\n' | b'Three letters picked without replacement from nbbbrbnrnnbrbnrb. What is prob of sequence rrn?\n' | b'1/56\n' | deepmind/math_dataset |
b'Let i(q) = 2*q**2 + 1. Let a be i(1). Suppose -42*k = -51*k + 36. Solve -4*c = -a*y + 17, 5*c = 4*c + k*y - 14 for c.\n' | b'-2\n' | b'Let i(q) = 2*q**2 + 1. Let a be i(1). Suppose -42*k = -51*k + 36. Solve -4*c = -a*y + 17, 5*c = 4*c + k*y - 14 for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from yoybbxobbbb. What is prob of picking 1 y and 3 b?\n' | b'4/33\n' | b'Four letters picked without replacement from yoybbxobbbb. What is prob of picking 1 y and 3 b?\n' | b'4/33\n' | deepmind/math_dataset |
b'Let d(q) = -q**3 - q**2 - q - 1. Let n(k) = 7*k**3 + 17*k**2 + 21*k**2 - 31*k**2 + 8 + 6*k. Let c(x) = 6*d(x) + n(x). Determine c(0).\n' | b'2\n' | b'Let d(q) = -q**3 - q**2 - q - 1. Let n(k) = 7*k**3 + 17*k**2 + 21*k**2 - 31*k**2 + 8 + 6*k. Let c(x) = 6*d(x) + n(x). Determine c(0).\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 2, z: 2, w: 3, c: 5}. What is prob of picking 1 p and 1 c?\n' | b'5/33\n' | b'Two letters picked without replacement from {p: 2, z: 2, w: 3, c: 5}. What is prob of picking 1 p and 1 c?\n' | b'5/33\n' | deepmind/math_dataset |
b'Let l(s) = 8*s + 1. Let p(o) = o**2 - 4*o - 2. Let i be p(8). Suppose -h + 6 = -5*b, -b - i = -5*h + 3*b. Suppose 0 = z - 5*y + h, -4*y = -5*z - 9*y. Give l(z).\n' | b'-7\n' | b'Let l(s) = 8*s + 1. Let p(o) = o**2 - 4*o - 2. Let i be p(8). Suppose -h + 6 = -5*b, -b - i = -5*h + 3*b. Suppose 0 = z - 5*y + h, -4*y = -5*z - 9*y. Give l(z).\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify ((j/j**(-15))/j)/j*j**22*j**(-1/10)*j**(12/7) assuming j is positive.\n' | b'j**(2633/70)\n' | b'Simplify ((j/j**(-15))/j)/j*j**22*j**(-1/10)*j**(12/7) assuming j is positive.\n' | b'j**(2633/70)\n' | deepmind/math_dataset |
b'Let x = -66 + -116. Let l = x + 186. Solve -l*d - 3*p + 26 = d, 16 = 2*d + 4*p for d.\n' | b'4\n' | b'Let x = -66 + -116. Let l = x + 186. Solve -l*d - 3*p + 26 = d, 16 = 2*d + 4*p for d.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify w**(-2/9)*w**(2/11)*w*(w*w**(-1))/(w/w**(-4/9)) assuming w is positive.\n' | b'w**(-16/33)\n' | b'Simplify w**(-2/9)*w**(2/11)*w*(w*w**(-1))/(w/w**(-4/9)) assuming w is positive.\n' | b'w**(-16/33)\n' | deepmind/math_dataset |
b'Suppose z = 11*z - 410. Solve 2*y - 5*p + z = -2*y, -3*y - 4*p = -8 for y.\n' | b'-4\n' | b'Suppose z = 11*z - 410. Solve 2*y - 5*p + z = -2*y, -3*y - 4*p = -8 for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Let s be 6/(-18)*-9 - 3*-3. Suppose s*k = 22*k. Solve -r = -2*r - l + 3, 5*r - 4*l - 33 = k for r.\n' | b'5\n' | b'Let s be 6/(-18)*-9 - 3*-3. Suppose s*k = 22*k. Solve -r = -2*r - l + 3, 5*r - 4*l - 33 = k for r.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify p/(p**(-29)*p)*(p/(p**(-4/7)*p))/p assuming p is positive.\n' | b'p**(200/7)\n' | b'Simplify p/(p**(-29)*p)*(p/(p**(-4/7)*p))/p assuming p is positive.\n' | b'p**(200/7)\n' | deepmind/math_dataset |
b'Let c(q) be the second derivative of q**6/360 - q**5/60 + q**4/24 - 19*q**3/6 + 20*q. Let v(m) be the second derivative of c(m). What is v(2)?\n' | b'1\n' | b'Let c(q) be the second derivative of q**6/360 - q**5/60 + q**4/24 - 19*q**3/6 + 20*q. Let v(m) be the second derivative of c(m). What is v(2)?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 0 = -3*h + 2*n + 1, -3*n + 16 = n. Suppose -h*s + 2*a = -11, -5*s - a + 13 = a. Solve -s*w = 2*x - 14, -5*x + 2*w + 16 = -0*w for x.\n' | b'4\n' | b'Suppose 0 = -3*h + 2*n + 1, -3*n + 16 = n. Suppose -h*s + 2*a = -11, -5*s - a + 13 = a. Solve -s*w = 2*x - 14, -5*x + 2*w + 16 = -0*w for x.\n' | b'4\n' | deepmind/math_dataset |
b'Let q(c) be the second derivative of -7*c**6/10 - 71*c**4/12 - 88*c. What is the third derivative of q(y) wrt y?\n' | b'-504*y\n' | b'Let q(c) be the second derivative of -7*c**6/10 - 71*c**4/12 - 88*c. What is the third derivative of q(y) wrt y?\n' | b'-504*y\n' | deepmind/math_dataset |
b'Suppose -2*a + 4*a - 8 = 0. Let x be (-56)/(-12) + a/(-6). Solve -3*w = 5*d - 23, -w + x*d = 4*w + 11 for w.\n' | b'1\n' | b'Suppose -2*a + 4*a - 8 = 0. Let x be (-56)/(-12) + a/(-6). Solve -3*w = 5*d - 23, -w + x*d = 4*w + 11 for w.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 1, l: 2, y: 11}. Give prob of picking 4 y.\n' | b'30/91\n' | b'Four letters picked without replacement from {v: 1, l: 2, y: 11}. Give prob of picking 4 y.\n' | b'30/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 6, n: 1, g: 1, c: 3, z: 2}. Give prob of picking 1 g and 1 c.\n' | b'1/26\n' | b'Two letters picked without replacement from {k: 6, n: 1, g: 1, c: 3, z: 2}. Give prob of picking 1 g and 1 c.\n' | b'1/26\n' | deepmind/math_dataset |
b'Find the third derivative of 865*c**2 - 1112*c**2 + 591 - 594 + 935*c**3 wrt c.\n' | b'5610\n' | b'Find the third derivative of 865*c**2 - 1112*c**2 + 591 - 594 + 935*c**3 wrt c.\n' | b'5610\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {s: 7, r: 2, p: 9}. Give prob of picking 2 r and 2 s.\n' | b'7/1020\n' | b'Four letters picked without replacement from {s: 7, r: 2, p: 9}. Give prob of picking 2 r and 2 s.\n' | b'7/1020\n' | deepmind/math_dataset |
b'Simplify (((n/(n*(n/(n**(-4/9)/n))/n*n*n)*n)**(3/11))**(-1/4))**(-41) assuming n is positive.\n' | b'n**(-41/6)\n' | b'Simplify (((n/(n*(n/(n**(-4/9)/n))/n*n*n)*n)**(3/11))**(-1/4))**(-41) assuming n is positive.\n' | b'n**(-41/6)\n' | deepmind/math_dataset |
b'Let s be -3*(143/(-13) + 10). Solve -2*r + 2*u = -5*r - 5, 5*r = -s*u - 10 for r.\n' | b'-5\n' | b'Let s be -3*(143/(-13) + 10). Solve -2*r + 2*u = -5*r - 5, 5*r = -s*u - 10 for r.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pejeeeejpj. Give prob of picking 2 p.\n' | b'1/45\n' | b'Two letters picked without replacement from pejeeeejpj. Give prob of picking 2 p.\n' | b'1/45\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 i and 2 b when four letters picked without replacement from gbwtbbntttiit.\n' | b'3/715\n' | b'Calculate prob of picking 2 i and 2 b when four letters picked without replacement from gbwtbbntttiit.\n' | b'3/715\n' | deepmind/math_dataset |
b'Let f = -26 - -29. Solve 0 = -3*l - f, -3*s - 2*l = -3*l - 10 for s.\n' | b'3\n' | b'Let f = -26 - -29. Solve 0 = -3*l - f, -3*s - 2*l = -3*l - 10 for s.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 3*m - 3 = 2*m. Solve 2*w + 8 = m*r + 1, -5*r + 3*w + 12 = 0 for r.\n' | b'3\n' | b'Suppose 3*m - 3 = 2*m. Solve 2*w + 8 = m*r + 1, -5*r + 3*w + 12 = 0 for r.\n' | b'3\n' | deepmind/math_dataset |
b'What is the second derivative of -h**3 - 273*h**3 + 0*h + h - 2*h + 13*h**3 - 49 wrt h?\n' | b'-1566*h\n' | b'What is the second derivative of -h**3 - 273*h**3 + 0*h + h - 2*h + 13*h**3 - 49 wrt h?\n' | b'-1566*h\n' | deepmind/math_dataset |
b'Suppose -374 - 55 = -39*p. Suppose 14 = 2*u + 4. Solve -2*w + t = 5, -u*w + 2*t = -t + p for w.\n' | b'-4\n' | b'Suppose -374 - 55 = -39*p. Suppose 14 = 2*u + 4. Solve -2*w + t = 5, -u*w + 2*t = -t + p for w.\n' | b'-4\n' | deepmind/math_dataset |
b'Let r(j) = -5*j**2 - 345*j + 722. Let d be r(-71). Let k = -4 - -8. Solve -2*i + 3 = -2*m + m, 4*m = k*i - d for i.\n' | b'0\n' | b'Let r(j) = -5*j**2 - 345*j + 722. Let d be r(-71). Let k = -4 - -8. Solve -2*i + 3 = -2*m + m, 4*m = k*i - d for i.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (((k/(k*k**(-2/3)*k))/k)**(-42)*k**(-7)*k**5)**(-12/11) assuming k is positive.\n' | b'k**(-648/11)\n' | b'Simplify (((k/(k*k**(-2/3)*k))/k)**(-42)*k**(-7)*k**5)**(-12/11) assuming k is positive.\n' | b'k**(-648/11)\n' | deepmind/math_dataset |
b'Simplify (y**1*y**3)**(-26) assuming y is positive.\n' | b'y**(-104)\n' | b'Simplify (y**1*y**3)**(-26) assuming y is positive.\n' | b'y**(-104)\n' | deepmind/math_dataset |
b'Let b be -2 + 24/14 - (-144)/63. Solve -t - 5 = a - 3, 0 = b*t - 5*a + 25 for t.\n' | b'-5\n' | b'Let b be -2 + 24/14 - (-144)/63. Solve -t - 5 = a - 3, 0 = b*t - 5*a + 25 for t.\n' | b'-5\n' | deepmind/math_dataset |
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