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'Let k be (-4)/(-14) - 78/(-21). Suppose -4 + 16 = -k*p. Let x be -2 - p - -23 - 0. Solve -2*l + 6*c - 2*c = x, -5*c + 25 = 0 for l.\n' | b'-2\n' | b'Let k be (-4)/(-14) - 78/(-21). Suppose -4 + 16 = -k*p. Let x be -2 - p - -23 - 0. Solve -2*l + 6*c - 2*c = x, -5*c + 25 = 0 for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Let g(i) be the first derivative of 0*i**3 + 7/2*i**4 - 2*i + 0*i**2 - 5. Find the first derivative of g(k) wrt k.\n' | b'42*k**2\n' | b'Let g(i) be the first derivative of 0*i**3 + 7/2*i**4 - 2*i + 0*i**2 - 5. Find the first derivative of g(k) wrt k.\n' | b'42*k**2\n' | deepmind/math_dataset |
b'Simplify ((i**2*i)**(1/53)*(i**(-2/9))**49)/(((i/i**(-1/4))/i**(1/4))/((i/(i/(i*i**(-1/4)))*i)/(i/(i**3*i)))) assuming i is positive.\n' | b'i**(-13513/1908)\n' | b'Simplify ((i**2*i)**(1/53)*(i**(-2/9))**49)/(((i/i**(-1/4))/i**(1/4))/((i/(i/(i*i**(-1/4)))*i)/(i/(i**3*i)))) assuming i is positive.\n' | b'i**(-13513/1908)\n' | deepmind/math_dataset |
b'Let x(y) be the second derivative of y**4/12 - y**3 - y**2/2 - 21*y. Let l(s) = 2*s - 21. Let g be l(0). Let m = 27 + g. What is x(m)?\n' | b'-1\n' | b'Let x(y) be the second derivative of y**4/12 - y**3 - y**2/2 - 21*y. Let l(s) = 2*s - 21. Let g be l(0). Let m = 27 + g. What is x(m)?\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((x**(-9/7)/x)/x)**(-1/31) assuming x is positive.\n' | b'x**(23/217)\n' | b'Simplify ((x**(-9/7)/x)/x)**(-1/31) assuming x is positive.\n' | b'x**(23/217)\n' | deepmind/math_dataset |
b'Simplify (u*u/(u**5/u)*u**(-2/13))/((u**(-3/5)*u)/(u**(-2)/u*u))*((u/((u*u*u**(-5))/u))/(u**(1/2)*u))**(6/25) assuming u is positive.\n' | b'u**(-1207/325)\n' | b'Simplify (u*u/(u**5/u)*u**(-2/13))/((u**(-3/5)*u)/(u**(-2)/u*u))*((u/((u*u*u**(-5))/u))/(u**(1/2)*u))**(6/25) assuming u is positive.\n' | b'u**(-1207/325)\n' | deepmind/math_dataset |
b'Suppose 2 - 8 = -j. Differentiate -t + 6*t - j + 4 wrt t.\n' | b'5\n' | b'Suppose 2 - 8 = -j. Differentiate -t + 6*t - j + 4 wrt t.\n' | b'5\n' | deepmind/math_dataset |
b'Let u be 4 - ((-2 - -9) + -82). What is the third derivative of 93*f**2 - 59*f**6 + 15900*f**3 - u*f**6 - 15900*f**3 wrt f?\n' | b'-16560*f**3\n' | b'Let u be 4 - ((-2 - -9) + -82). What is the third derivative of 93*f**2 - 59*f**6 + 15900*f**3 - u*f**6 - 15900*f**3 wrt f?\n' | b'-16560*f**3\n' | deepmind/math_dataset |
b'Let q(h) = -h**2 + 5*h + 7. Suppose p - 5*p = -12. Let a be 2/((-6)/p)*-5. Determine q(a).\n' | b'7\n' | b'Let q(h) = -h**2 + 5*h + 7. Suppose p - 5*p = -12. Let a be 2/((-6)/p)*-5. Determine q(a).\n' | b'7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eereverevee. Give prob of sequence er.\n' | b'7/55\n' | b'Two letters picked without replacement from eereverevee. Give prob of sequence er.\n' | b'7/55\n' | deepmind/math_dataset |
b'Let t(z) = -7*z + 6 - z**2 + 2*z**2 - 3 + 3. Let d be t(6). Differentiate d*l**4 - 2*l**4 - 2 + 6*l**4 - 5*l**4 wrt l.\n' | b'-4*l**3\n' | b'Let t(z) = -7*z + 6 - z**2 + 2*z**2 - 3 + 3. Let d be t(6). Differentiate d*l**4 - 2*l**4 - 2 + 6*l**4 - 5*l**4 wrt l.\n' | b'-4*l**3\n' | deepmind/math_dataset |
b'Suppose h + 3 = 3*z, -8*h + 5 = -3*h - 5*z. Let x(a) be the first derivative of 4 + 3/2*a**2 + a + 1/3*a**h. What is x(-3)?\n' | b'1\n' | b'Suppose h + 3 = 3*z, -8*h + 5 = -3*h - 5*z. Let x(a) be the first derivative of 4 + 3/2*a**2 + a + 1/3*a**h. What is x(-3)?\n' | b'1\n' | deepmind/math_dataset |
b'Let s(o) be the third derivative of 17*o**5/60 + o**4/24 - o**3/3 - 9*o**2 - 13*o. Give s(1).\n' | b'16\n' | b'Let s(o) be the third derivative of 17*o**5/60 + o**4/24 - o**3/3 - 9*o**2 - 13*o. Give s(1).\n' | b'16\n' | deepmind/math_dataset |
b'Suppose 11*b - 12 = 7*b. Let k(u) = u**2 + 3*u - 11. Let q be k(b). Let s(n) = n**2 - 3*n**2 + n**2 + 7 + 6*n. What is s(q)?\n' | b'0\n' | b'Suppose 11*b - 12 = 7*b. Let k(u) = u**2 + 3*u - 11. Let q be k(b). Let s(n) = n**2 - 3*n**2 + n**2 + 7 + 6*n. What is s(q)?\n' | b'0\n' | deepmind/math_dataset |
b'Let h(n) = n**2 - 7*n + 3. Let y be h(7). Solve 4*d = 3*r + y*d - 12, -2*d = 2*r for r.\n' | b'3\n' | b'Let h(n) = n**2 - 7*n + 3. Let y be h(7). Solve 4*d = 3*r + y*d - 12, -2*d = 2*r for r.\n' | b'3\n' | deepmind/math_dataset |
b'Let x(k) = 49*k**3 - 6*k - 7*k**2 - 30*k**3 - 32 + k**2. Let c(q) = q**2 + q + 1. Let m(r) = 6*c(r) + x(r). Differentiate m(a) with respect to a.\n' | b'57*a**2\n' | b'Let x(k) = 49*k**3 - 6*k - 7*k**2 - 30*k**3 - 32 + k**2. Let c(q) = q**2 + q + 1. Let m(r) = 6*c(r) + x(r). Differentiate m(a) with respect to a.\n' | b'57*a**2\n' | deepmind/math_dataset |
b'Simplify (h**(-3/4)*h*h)**(-49)/(h**11/h**0) assuming h is positive.\n' | b'h**(-289/4)\n' | b'Simplify (h**(-3/4)*h*h)**(-49)/(h**11/h**0) assuming h is positive.\n' | b'h**(-289/4)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bnboooon. What is prob of sequence nbbn?\n' | b'1/420\n' | b'Four letters picked without replacement from bnboooon. What is prob of sequence nbbn?\n' | b'1/420\n' | deepmind/math_dataset |
b'Let g(c) = -4 - 3 + 3 - 4*c - c**3 + 6*c**2. Suppose -3*l = -2*l - 2. Let w be 1/(l*(-1)/(-10)). Give g(w).\n' | b'1\n' | b'Let g(c) = -4 - 3 + 3 - 4*c - c**3 + 6*c**2. Suppose -3*l = -2*l - 2. Let w be 1/(l*(-1)/(-10)). Give g(w).\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence ssns when four letters picked without replacement from ssnissiiinnssssn?\n' | b'2/65\n' | b'What is prob of sequence ssns when four letters picked without replacement from ssnissiiinnssssn?\n' | b'2/65\n' | deepmind/math_dataset |
b'Let j(m) = -2*m**2 + 35*m + 6. Let a be j(17). Suppose -a = -r - 0. Solve 5*g + 2*k = r, 0 = 3*g - 5*g + 3*k + 13 for g.\n' | b'5\n' | b'Let j(m) = -2*m**2 + 35*m + 6. Let a be j(17). Suppose -a = -r - 0. Solve 5*g + 2*k = r, 0 = 3*g - 5*g + 3*k + 13 for g.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (w/(w/(w/(w*w**(-10)*w))*w))/(w/(w*w*w*w*w*w/(w**(2/9)/w*w*w*w))) assuming w is positive.\n' | b'w**(97/9)\n' | b'Simplify (w/(w/(w/(w*w**(-10)*w))*w))/(w/(w*w*w*w*w*w/(w**(2/9)/w*w*w*w))) assuming w is positive.\n' | b'w**(97/9)\n' | deepmind/math_dataset |
b'Suppose -1 + 68 = 63*s - 122. Let p = 34 + -16. Suppose 3*c + p = 6*c. Solve -s*w + c = -3*t - 8*w, t + 3*w + 2 = 0 for t.\n' | b'-2\n' | b'Suppose -1 + 68 = 63*s - 122. Let p = 34 + -16. Suppose 3*c + p = 6*c. Solve -s*w + c = -3*t - 8*w, t + 3*w + 2 = 0 for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((p**1)**29*(p/(p/(p*p**(-1/4)*p)*p))/(p/p**3*p))/((p/(((p/(p**(1/4)/p)*p)/p)/p)*p)/p**4*((p/(p**(-1/2)*p))/p)**(8/7)) assuming p is positive.\n' | b'p**(477/14)\n' | b'Simplify ((p**1)**29*(p/(p/(p*p**(-1/4)*p)*p))/(p/p**3*p))/((p/(((p/(p**(1/4)/p)*p)/p)/p)*p)/p**4*((p/(p**(-1/2)*p))/p)**(8/7)) assuming p is positive.\n' | b'p**(477/14)\n' | deepmind/math_dataset |
b'Suppose 5*y + b - 15 = 0, y + 4*b - 7*b = 3. Let j(f) = -13*f + 3. Let z be j(-3). Let x = z + -27. Solve 2*w + p = w + y, 0 = 5*w + 2*p - x for w.\n' | b'3\n' | b'Suppose 5*y + b - 15 = 0, y + 4*b - 7*b = 3. Let j(f) = -13*f + 3. Let z be j(-3). Let x = z + -27. Solve 2*w + p = w + y, 0 = 5*w + 2*p - x for w.\n' | b'3\n' | deepmind/math_dataset |
b'Let g = -1 - -7. Let w(v) = -3 - 6 - 9 + g - 2*v. Let q be w(-7). Solve -q*b = -f + 15, f = -1 + 6 for b.\n' | b'-5\n' | b'Let g = -1 - -7. Let w(v) = -3 - 6 - 9 + g - 2*v. Let q be w(-7). Solve -q*b = -f + 15, f = -1 + 6 for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify l*l**(-10/7)*l**(-41) assuming l is positive.\n' | b'l**(-290/7)\n' | b'Simplify l*l**(-10/7)*l**(-41) assuming l is positive.\n' | b'l**(-290/7)\n' | deepmind/math_dataset |
b'Let l(d) = 12 - 2*d - 2 - d. Suppose -141649*y - 471 = -141767*y + 1. Calculate l(y).\n' | b'-2\n' | b'Let l(d) = 12 - 2*d - 2 - d. Suppose -141649*y - 471 = -141767*y + 1. Calculate l(y).\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 4*b - 22 = 2. Let g = b + -8. Let o be g/1*(-10)/4. Solve -5*a = -5*w + 20, -5*w - o*a + 4 + 26 = 0 for w.\n' | b'5\n' | b'Suppose 4*b - 22 = 2. Let g = b + -8. Let o be g/1*(-10)/4. Solve -5*a = -5*w + 20, -5*w - o*a + 4 + 26 = 0 for w.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c, 1 m, and 1 h when three letters picked without replacement from hhmc.\n' | b'1/2\n' | b'Calculate prob of picking 1 c, 1 m, and 1 h when three letters picked without replacement from hhmc.\n' | b'1/2\n' | deepmind/math_dataset |
b'Let u(b) = b**2 + 0*b + b + 6 - 8*b. Suppose 3*x + 4 - 19 = 0. Give u(x).\n' | b'-4\n' | b'Let u(b) = b**2 + 0*b + b + 6 - 8*b. Suppose 3*x + 4 - 19 = 0. Give u(x).\n' | b'-4\n' | deepmind/math_dataset |
b'Let o = -87 + 136. What is the first derivative of o + 48 + 5*w**2 - 51 wrt w?\n' | b'10*w\n' | b'Let o = -87 + 136. What is the first derivative of o + 48 + 5*w**2 - 51 wrt w?\n' | b'10*w\n' | deepmind/math_dataset |
b'Suppose 3*g - 2*p = 15, 4*g - 9*p + 14*p - 20 = 0. Solve 26 = -g*w - 0*b - 3*b, -w - 3*b = 10 for w.\n' | b'-4\n' | b'Suppose 3*g - 2*p = 15, 4*g - 9*p + 14*p - 20 = 0. Solve 26 = -g*w - 0*b - 3*b, -w - 3*b = 10 for w.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 4, a: 2, g: 2, n: 2, l: 4}. Give prob of sequence laag.\n' | b'2/3003\n' | b'Four letters picked without replacement from {f: 4, a: 2, g: 2, n: 2, l: 4}. Give prob of sequence laag.\n' | b'2/3003\n' | deepmind/math_dataset |
b'Let a be ((-2)/(-6))/((-1)/(-6)). Suppose 15 = -5*o, -12 + 1 = -a*f + o. Solve 0 = -3*v + x - 0*x + 1, 4*v - f*x - 12 = 0 for v.\n' | b'-1\n' | b'Let a be ((-2)/(-6))/((-1)/(-6)). Suppose 15 = -5*o, -12 + 1 = -a*f + o. Solve 0 = -3*v + x - 0*x + 1, 4*v - f*x - 12 = 0 for v.\n' | b'-1\n' | deepmind/math_dataset |
b'Let k = -349 + 594. Find the first derivative of 14 - n + n + k - n**2 - 6*n**4 wrt n.\n' | b'-24*n**3 - 2*n\n' | b'Let k = -349 + 594. Find the first derivative of 14 - n + n + k - n**2 - 6*n**4 wrt n.\n' | b'-24*n**3 - 2*n\n' | deepmind/math_dataset |
b'Suppose -20 = -2*c - 3*u, -u = 2*u - 6. Suppose -191 = -6*y - 173. Suppose -16 = y*l - c. Let g(b) = b**3 + 4*b**2 + 5*b + 4. What is g(l)?\n' | b'-2\n' | b'Suppose -20 = -2*c - 3*u, -u = 2*u - 6. Suppose -191 = -6*y - 173. Suppose -16 = y*l - c. Let g(b) = b**3 + 4*b**2 + 5*b + 4. What is g(l)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let b(g) = 0*g**2 + 3 - 62*g**3 + 0 + 0*g**2 + g**2 + 4*g + g**2. Give b(-1).\n' | b'63\n' | b'Let b(g) = 0*g**2 + 3 - 62*g**3 + 0 + 0*g**2 + g**2 + 4*g + g**2. Give b(-1).\n' | b'63\n' | deepmind/math_dataset |
b'Let a(n) = -40*n + 1. Let k = 102 + -104. Let g(j) = 81*j - 1. Let t(d) = k*g(d) - 5*a(d). Differentiate t(q) wrt q.\n' | b'38\n' | b'Let a(n) = -40*n + 1. Let k = 102 + -104. Let g(j) = 81*j - 1. Let t(d) = k*g(d) - 5*a(d). Differentiate t(q) wrt q.\n' | b'38\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 1, u: 1, t: 1, d: 1, y: 3}. Give prob of sequence ut.\n' | b'1/42\n' | b'Two letters picked without replacement from {l: 1, u: 1, t: 1, d: 1, y: 3}. Give prob of sequence ut.\n' | b'1/42\n' | deepmind/math_dataset |
b'Let v(o) = -10479*o**2 - 10075*o - 7. Let i(f) = -3492*f**2 - 3359*f - 2. Let w(y) = 7*i(y) - 2*v(y). What is the second derivative of w(h) wrt h?\n' | b'-6972\n' | b'Let v(o) = -10479*o**2 - 10075*o - 7. Let i(f) = -3492*f**2 - 3359*f - 2. Let w(y) = 7*i(y) - 2*v(y). What is the second derivative of w(h) wrt h?\n' | b'-6972\n' | deepmind/math_dataset |
b'Suppose 0 + 10 = 5*i. Let c = 2 - i. Let m(d) = -6*d - 3. Let k(s) = s. Let w(u) = 5*k(u) + m(u). What is w(c)?\n' | b'-3\n' | b'Suppose 0 + 10 = 5*i. Let c = 2 - i. Let m(d) = -6*d - 3. Let k(s) = s. Let w(u) = 5*k(u) + m(u). What is w(c)?\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify u**(-2/13)*u**5*(u*(u*u**(-7))/u)/(u/((u*u/(u*u/(u**(-2/11)*u)*u*u)*u)/u)) assuming u is positive.\n' | b'u**(-477/143)\n' | b'Simplify u**(-2/13)*u**5*(u*(u*u**(-7))/u)/(u/((u*u/(u*u/(u**(-2/11)*u)*u*u)*u)/u)) assuming u is positive.\n' | b'u**(-477/143)\n' | deepmind/math_dataset |
b'Simplify ((w*w**13*w)/w)/w*w**(2/77)*w**(-27)*w**16/w assuming w is positive.\n' | b'w**(79/77)\n' | b'Simplify ((w*w**13*w)/w)/w*w**(2/77)*w**(-27)*w**16/w assuming w is positive.\n' | b'w**(79/77)\n' | deepmind/math_dataset |
b'Suppose 0*z + 5*z - 120 = 0. Suppose -g - z = 3*i, g + 0*g - 2*i + 19 = 0. Let f be 0/(7/(g/(-6))). Solve x - 10 = -3*u - f, -14 = -x - 5*u for x.\n' | b'4\n' | b'Suppose 0*z + 5*z - 120 = 0. Suppose -g - z = 3*i, g + 0*g - 2*i + 19 = 0. Let f be 0/(7/(g/(-6))). Solve x - 10 = -3*u - f, -14 = -x - 5*u for x.\n' | b'4\n' | deepmind/math_dataset |
b'Let m be 146/1095 - ((-148)/15 + -2). Solve 2*z - z = l - 1, 0 = -2*z - 3*l - m for z.\n' | b'-3\n' | b'Let m be 146/1095 - ((-148)/15 + -2). Solve 2*z - z = l - 1, 0 = -2*z - 3*l - m for z.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 66 = 2*j + 5*q, 0 = j + 4*j - 3*q - 165. Let p be (-4)/(-22) - (-93)/j. Let o be (0/(p + -1))/(-1). Solve -7 = -m + 4*i, o = 3*i - i + 4 for m.\n' | b'-1\n' | b'Suppose 66 = 2*j + 5*q, 0 = j + 4*j - 3*q - 165. Let p be (-4)/(-22) - (-93)/j. Let o be (0/(p + -1))/(-1). Solve -7 = -m + 4*i, o = 3*i - i + 4 for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Let o = 45 + -51. Let i(c) = -c**3 - 6*c**2 - 2*c - 6. What is i(o)?\n' | b'6\n' | b'Let o = 45 + -51. Let i(c) = -c**3 - 6*c**2 - 2*c - 6. What is i(o)?\n' | b'6\n' | deepmind/math_dataset |
b'Suppose -2*o = -1 - 9. Suppose 3*l - n - 4 = o, -l - 3*n + 13 = 0. What is the first derivative of -2*k + 0*k + 1 - 7 - l wrt k?\n' | b'-2\n' | b'Suppose -2*o = -1 - 9. Suppose 3*l - n - 4 = o, -l - 3*n + 13 = 0. What is the first derivative of -2*k + 0*k + 1 - 7 - l wrt k?\n' | b'-2\n' | deepmind/math_dataset |
b'Let m be ((-144)/120)/(4/(-10)). What is the third derivative of 90*n**m - 4*n**2 + 21 - 17 + 63*n**3 + 8 wrt n?\n' | b'918\n' | b'Let m be ((-144)/120)/(4/(-10)). What is the third derivative of 90*n**m - 4*n**2 + 21 - 17 + 63*n**3 + 8 wrt n?\n' | b'918\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 1, n: 1, q: 2, f: 4, j: 1}. Give prob of sequence qqf.\n' | b'1/63\n' | b'Three letters picked without replacement from {w: 1, n: 1, q: 2, f: 4, j: 1}. Give prob of sequence qqf.\n' | b'1/63\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 7, t: 2, k: 3, w: 1, c: 5, p: 2}. Give prob of picking 1 w, 1 p, and 2 c.\n' | b'4/969\n' | b'Four letters picked without replacement from {v: 7, t: 2, k: 3, w: 1, c: 5, p: 2}. Give prob of picking 1 w, 1 p, and 2 c.\n' | b'4/969\n' | deepmind/math_dataset |
b'Suppose n = -3 - 2. Let m be -1*3 - (-3 + n). Solve 2*t = -2*q - 0*q - 2, 0 = -m*q - 4*t - 3 for q.\n' | b'1\n' | b'Suppose n = -3 - 2. Let m be -1*3 - (-3 + n). Solve 2*t = -2*q - 0*q - 2, 0 = -m*q - 4*t - 3 for q.\n' | b'1\n' | deepmind/math_dataset |
b'Let a(n) be the second derivative of 0*n**2 + 0 + 0*n**3 + 1/3*n**4 + 0*n**5 - 8*n + 1/5*n**6. What is the third derivative of a(u) wrt u?\n' | b'144*u\n' | b'Let a(n) be the second derivative of 0*n**2 + 0 + 0*n**3 + 1/3*n**4 + 0*n**5 - 8*n + 1/5*n**6. What is the third derivative of a(u) wrt u?\n' | b'144*u\n' | deepmind/math_dataset |
b'Let w(i) = i**2 + i - 1. Let g(q) = -20*q**3 - 30*q**2 - q + 1. Suppose -6 = -7*v + 1. Let z(n) = v*g(n) + w(n). Find the third derivative of z(y) wrt y.\n' | b'-120\n' | b'Let w(i) = i**2 + i - 1. Let g(q) = -20*q**3 - 30*q**2 - q + 1. Suppose -6 = -7*v + 1. Let z(n) = v*g(n) + w(n). Find the third derivative of z(y) wrt y.\n' | b'-120\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pypyyyypyyyyyyyyypyy. Give prob of picking 4 p.\n' | b'1/4845\n' | b'Four letters picked without replacement from pypyyyypyyyyyyyyypyy. Give prob of picking 4 p.\n' | b'1/4845\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 q when four letters picked without replacement from {e: 4, q: 6}.\n' | b'1/14\n' | b'Calculate prob of picking 4 q when four letters picked without replacement from {e: 4, q: 6}.\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify (c**(-2/59)*c*c/(((c**(-2/17)*c)/c)/c*c)*c**(-18)*c*c**(-2/23))**(-42) assuming c is positive.\n' | b'c**(14536578/23069)\n' | b'Simplify (c**(-2/59)*c*c/(((c**(-2/17)*c)/c)/c*c)*c**(-18)*c*c**(-2/23))**(-42) assuming c is positive.\n' | b'c**(14536578/23069)\n' | deepmind/math_dataset |
b'Simplify (o**25/(o*o*o**(-2/41)*o)*o**(-4)*o**(3/17)*o*o*o)**(-8/9) assuming o is positive.\n' | b'o**(-118352/6273)\n' | b'Simplify (o**25/(o*o*o**(-2/41)*o)*o**(-4)*o**(3/17)*o*o*o)**(-8/9) assuming o is positive.\n' | b'o**(-118352/6273)\n' | deepmind/math_dataset |
b'Let k(t) = t**3 + 3*t**2 - 2. Let f be k(-2). Let n be 39/26 + 17/f. Suppose 3*h + 28 = n*h. Solve 4*c - h = 2*l - 0*c, 4*l - 2*c + 2 = 0 for l.\n' | b'0\n' | b'Let k(t) = t**3 + 3*t**2 - 2. Let f be k(-2). Let n be 39/26 + 17/f. Suppose 3*h + 28 = n*h. Solve 4*c - h = 2*l - 0*c, 4*l - 2*c + 2 = 0 for l.\n' | b'0\n' | deepmind/math_dataset |
b'Let n(d) = 4*d**3 - 3*d**2 + 2. Suppose 12 - 4 = 8*m. Let t be n(m). Solve t*p + 3*k = 4*p - 12, 2*p = -3*k - 21 for p.\n' | b'-3\n' | b'Let n(d) = 4*d**3 - 3*d**2 + 2. Suppose 12 - 4 = 8*m. Let t be n(m). Solve t*p + 3*k = 4*p - 12, 2*p = -3*k - 21 for p.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify a**(2/29)*a**(2/43)*a*(a*a**14)/a*a*a*a**(-2/11)*a*a assuming a is positive.\n' | b'a**(259713/13717)\n' | b'Simplify a**(2/29)*a**(2/43)*a*(a*a**14)/a*a*a*a**(-2/11)*a*a assuming a is positive.\n' | b'a**(259713/13717)\n' | deepmind/math_dataset |
b'Let u(d) = 16*d + 2*d**2 - 11 + 2*d - 19*d. Calculate u(0).\n' | b'-11\n' | b'Let u(d) = 16*d + 2*d**2 - 11 + 2*d - 19*d. Calculate u(0).\n' | b'-11\n' | deepmind/math_dataset |
b'Let n be (1*(-2 - -1))/((-1)/16). Suppose -6*r + n*r - 150 = 0. Solve 4*k = -g + 3 - 20, -5*g = -5*k - r for k.\n' | b'-4\n' | b'Let n be (1*(-2 - -1))/((-1)/16). Suppose -6*r + n*r - 150 = 0. Solve 4*k = -g + 3 - 20, -5*g = -5*k - r for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 5*b - 10 = 4*q, -3*q - 6 = -0*q - 3*b. Suppose -5*a - w + 26 = 0, -3*w + 28 = 5*a - q*w. Solve i + 2 = 0, 3*g + i = a*g for g.\n' | b'-1\n' | b'Suppose 5*b - 10 = 4*q, -3*q - 6 = -0*q - 3*b. Suppose -5*a - w + 26 = 0, -3*w + 28 = 5*a - q*w. Solve i + 2 = 0, 3*g + i = a*g for g.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 4 x when four letters picked without replacement from {x: 10}?\n' | b'1\n' | b'What is prob of picking 4 x when four letters picked without replacement from {x: 10}?\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 g when three letters picked without replacement from jjjggg.\n' | b'1/20\n' | b'Calculate prob of picking 3 g when three letters picked without replacement from jjjggg.\n' | b'1/20\n' | deepmind/math_dataset |
b'What is the derivative of -5*l + 11*l + 4*l + 13*l - 8 wrt l?\n' | b'23\n' | b'What is the derivative of -5*l + 11*l + 4*l + 13*l - 8 wrt l?\n' | b'23\n' | deepmind/math_dataset |
b'Simplify (f**(-1/2)*f)**40/(f**1)**(3/11) assuming f is positive.\n' | b'f**(217/11)\n' | b'Simplify (f**(-1/2)*f)**40/(f**1)**(3/11) assuming f is positive.\n' | b'f**(217/11)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 1 a when two letters picked without replacement from aau.\n' | b'2/3\n' | b'Calculate prob of picking 1 u and 1 a when two letters picked without replacement from aau.\n' | b'2/3\n' | deepmind/math_dataset |
b'What is prob of sequence oix when three letters picked without replacement from oooixogionoxi?\n' | b'3/143\n' | b'What is prob of sequence oix when three letters picked without replacement from oooixogionoxi?\n' | b'3/143\n' | deepmind/math_dataset |
b'What is the second derivative of 1430*v**3 + 92 + 7*v - 6*v + 379 - 154 + 171 wrt v?\n' | b'8580*v\n' | b'What is the second derivative of 1430*v**3 + 92 + 7*v - 6*v + 379 - 154 + 171 wrt v?\n' | b'8580*v\n' | deepmind/math_dataset |
b'Simplify (m**(2/7)/(m*m*m**(-1/3)*m))/(m**(-2)*m**5) assuming m is positive.\n' | b'm**(-113/21)\n' | b'Simplify (m**(2/7)/(m*m*m**(-1/3)*m))/(m**(-2)*m**5) assuming m is positive.\n' | b'm**(-113/21)\n' | deepmind/math_dataset |
b'Suppose 0 = -32*u + 2 - 34. Let f(m) be the third derivative of m**5/12 - m**4/12 - m**3/6 + 2*m**2. What is f(u)?\n' | b'6\n' | b'Suppose 0 = -32*u + 2 - 34. Let f(m) be the third derivative of m**5/12 - m**4/12 - m**3/6 + 2*m**2. What is f(u)?\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (s*s**(-4))**(-12) assuming s is positive.\n' | b's**36\n' | b'Simplify (s*s**(-4))**(-12) assuming s is positive.\n' | b's**36\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 t when three letters picked without replacement from {t: 3, i: 2}.\n' | b'1/10\n' | b'Calculate prob of picking 3 t when three letters picked without replacement from {t: 3, i: 2}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let f(u) be the second derivative of -11*u**5/10 + u**4/12 - u**3/2 - 3*u**2/2 - 17*u + 17. Give f(-1).\n' | b'23\n' | b'Let f(u) be the second derivative of -11*u**5/10 + u**4/12 - u**3/2 - 3*u**2/2 - 17*u + 17. Give f(-1).\n' | b'23\n' | deepmind/math_dataset |
b'Suppose -m - 5 - 9 = -4*o, -5*o = 4*m - 28. Let r(a) = 47 + a + a**2 - 23 - 25. Give r(m).\n' | b'5\n' | b'Suppose -m - 5 - 9 = -4*o, -5*o = 4*m - 28. Let r(a) = 47 + a + a**2 - 23 - 25. Give r(m).\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 1, s: 2, k: 2, e: 1}. What is prob of picking 2 k?\n' | b'1/15\n' | b'Two letters picked without replacement from {b: 1, s: 2, k: 2, e: 1}. What is prob of picking 2 k?\n' | b'1/15\n' | deepmind/math_dataset |
b'What is prob of picking 1 l and 2 t when three letters picked without replacement from tttdltddl?\n' | b'1/7\n' | b'What is prob of picking 1 l and 2 t when three letters picked without replacement from tttdltddl?\n' | b'1/7\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v when two letters picked without replacement from ovv.\n' | b'1/3\n' | b'Calculate prob of picking 2 v when two letters picked without replacement from ovv.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let q be 5 + (-1)/1 - 7/(-7). Solve 5*f = 5*g, -3*f + 8*f = -q*g for g.\n' | b'0\n' | b'Let q be 5 + (-1)/1 - 7/(-7). Solve 5*f = 5*g, -3*f + 8*f = -q*g for g.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -5*u + 48 + 2 = 0. Suppose -u = -4*v - v. Suppose -f + 0 = -v. Solve 2*m + f = 0, -b - 2*m + 2 = b for b.\n' | b'2\n' | b'Suppose -5*u + 48 + 2 = 0. Suppose -u = -4*v - v. Suppose -f + 0 = -v. Solve 2*m + f = 0, -b - 2*m + 2 = b for b.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence uzu when three letters picked without replacement from {u: 2, i: 4, z: 2, q: 2, a: 2, v: 2}.\n' | b'1/546\n' | b'Calculate prob of sequence uzu when three letters picked without replacement from {u: 2, i: 4, z: 2, q: 2, a: 2, v: 2}.\n' | b'1/546\n' | deepmind/math_dataset |
b'Simplify (q**(2/27))**(-12)/(q**(10/13))**38 assuming q is positive.\n' | b'q**(-3524/117)\n' | b'Simplify (q**(2/27))**(-12)/(q**(10/13))**38 assuming q is positive.\n' | b'q**(-3524/117)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kkktlklm. Give prob of picking 1 k, 1 t, and 1 m.\n' | b'1/14\n' | b'Three letters picked without replacement from kkktlklm. Give prob of picking 1 k, 1 t, and 1 m.\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose 4*d = -2*n + 30, -2*d - 3 = -5*d. Let y(b) = 2*b**2 - 23*b - 32. Let q be y(n). Let r(i) = 7 - 9 + 2 + q*i**2. What is r(-1)?\n' | b'7\n' | b'Suppose 4*d = -2*n + 30, -2*d - 3 = -5*d. Let y(b) = 2*b**2 - 23*b - 32. Let q be y(n). Let r(i) = 7 - 9 + 2 + q*i**2. What is r(-1)?\n' | b'7\n' | deepmind/math_dataset |
b'Let c = -25 - -27. Let g(z) = 7*z - 2. Determine g(c).\n' | b'12\n' | b'Let c = -25 - -27. Let g(z) = 7*z - 2. Determine g(c).\n' | b'12\n' | deepmind/math_dataset |
b'Let k(c) = 17*c + 100. Let v(n) = -10 - 12*n - 4*n - 39 + 7*n. Let t(p) = 6*k(p) + 11*v(p). Let h be t(-19). Solve 3*a + 2*b = 3*b - 13, -4 = h*a + 2*b for a.\n' | b'-3\n' | b'Let k(c) = 17*c + 100. Let v(n) = -10 - 12*n - 4*n - 39 + 7*n. Let t(p) = 6*k(p) + 11*v(p). Let h be t(-19). Solve 3*a + 2*b = 3*b - 13, -4 = h*a + 2*b for a.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a and 1 w when two letters picked without replacement from euuaauwuau.\n' | b'1/15\n' | b'Calculate prob of picking 1 a and 1 w when two letters picked without replacement from euuaauwuau.\n' | b'1/15\n' | deepmind/math_dataset |
b'Suppose -v - m - 3 = -2*v, -5*m = 3*v - 25. Solve -g + 5 - 28 = 5*x, 0 = -v*g - 3*x - 27 for g.\n' | b'-3\n' | b'Suppose -v - m - 3 = -2*v, -5*m = 3*v - 25. Solve -g + 5 - 28 = 5*x, 0 = -v*g - 3*x - 27 for g.\n' | b'-3\n' | deepmind/math_dataset |
b'Let y = 95 - 162. Let u = 982 - 1051. Let a = y - u. Solve -3*z + 29 = -0*z - 4*w, -z - a = w for z.\n' | b'3\n' | b'Let y = 95 - 162. Let u = 982 - 1051. Let a = y - u. Solve -3*z + 29 = -0*z - 4*w, -z - a = w for z.\n' | b'3\n' | deepmind/math_dataset |
b'Find the second derivative of 1 + 105*x - 16733*x**4 - 17*x + 16676*x**4 wrt x.\n' | b'-684*x**2\n' | b'Find the second derivative of 1 + 105*x - 16733*x**4 - 17*x + 16676*x**4 wrt x.\n' | b'-684*x**2\n' | deepmind/math_dataset |
b'Let u be (-1)/3*-3 + 3. Suppose 0 = p + 1 - u. Find the second derivative of -p*s + 3 - s**3 + 3 - 6 wrt s.\n' | b'-6*s\n' | b'Let u be (-1)/3*-3 + 3. Suppose 0 = p + 1 - u. Find the second derivative of -p*s + 3 - s**3 + 3 - 6 wrt s.\n' | b'-6*s\n' | deepmind/math_dataset |
b'Let v(q) = -11*q - 21. Let b be v(-6). Suppose -11 = -4*o + b. What is the second derivative of -s + o*s**3 - 238 + 238 wrt s?\n' | b'84*s\n' | b'Let v(q) = -11*q - 21. Let b be v(-6). Suppose -11 = -4*o + b. What is the second derivative of -s + o*s**3 - 238 + 238 wrt s?\n' | b'84*s\n' | deepmind/math_dataset |
b'Let u(j) = 2*j + 8. Let o(h) = h**2 - 12*h - 261. Let n be o(23). What is u(n)?\n' | b'-8\n' | b'Let u(j) = 2*j + 8. Let o(h) = h**2 - 12*h - 261. Let n be o(23). What is u(n)?\n' | b'-8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 2, h: 2, v: 4, w: 1, f: 1}. What is prob of sequence hp?\n' | b'2/45\n' | b'Two letters picked without replacement from {p: 2, h: 2, v: 4, w: 1, f: 1}. What is prob of sequence hp?\n' | b'2/45\n' | deepmind/math_dataset |
b'Simplify (m**(-2/23)/m*(m*m*m**3)/m)/(m/m**(2/3)*m*m/(m*m*m**(-2/3)*m))*((m**0/m)/m*m)**(-1/13)*m**4/(m/(((m/(m/m**(3/2)))/m)/m)) assuming m is positive.\n' | b'm**(3283/598)\n' | b'Simplify (m**(-2/23)/m*(m*m*m**3)/m)/(m/m**(2/3)*m*m/(m*m*m**(-2/3)*m))*((m**0/m)/m*m)**(-1/13)*m**4/(m/(((m/(m/m**(3/2)))/m)/m)) assuming m is positive.\n' | b'm**(3283/598)\n' | deepmind/math_dataset |
b'Let b = -353 - -358. Solve -u - 3*x + b = -7*x, -x - 20 = -4*u for u.\n' | b'5\n' | b'Let b = -353 - -358. Solve -u - 3*x + b = -7*x, -x - 20 = -4*u for u.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 0 = 5*o - 3*d + 2*d - 522, -110 = -o + 3*d. Suppose -5*b + 39*b = -3536. Let g = b + o. Let l(w) = -w**2 - 4. Calculate l(g).\n' | b'-4\n' | b'Suppose 0 = 5*o - 3*d + 2*d - 522, -110 = -o + 3*d. Suppose -5*b + 39*b = -3536. Let g = b + o. Let l(w) = -w**2 - 4. Calculate l(g).\n' | b'-4\n' | deepmind/math_dataset |
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