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 u(g) = g**2 - 5*g + 3. Let r(y) = -2*y**3 + 2*y**2 - 1. Let f be r(-1). Give u(f).\n' | b'-3\n' | b'Let u(g) = g**2 - 5*g + 3. Let r(y) = -2*y**3 + 2*y**2 - 1. Let f be r(-1). Give u(f).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (a**(3/8)/a**(-4))**(7/12)*(a**(2/5))**13/(a**(-1)*(a*a/(a*a/(a/a**(-1/14))))/a) assuming a is positive.\n' | b'a**(29167/3360)\n' | b'Simplify (a**(3/8)/a**(-4))**(7/12)*(a**(2/5))**13/(a**(-1)*(a*a/(a*a/(a/a**(-1/14))))/a) assuming a is positive.\n' | b'a**(29167/3360)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d and 1 c when two letters picked without replacement from rdrcrdrrrddcrr.\n' | b'8/91\n' | b'Calculate prob of picking 1 d and 1 c when two letters picked without replacement from rdrcrdrrrddcrr.\n' | b'8/91\n' | deepmind/math_dataset |
b'Four letters picked without replacement from rlrrrjrlrjulwdl. Give prob of sequence rujw.\n' | b'1/2730\n' | b'Four letters picked without replacement from rlrrrjrlrjulwdl. Give prob of sequence rujw.\n' | b'1/2730\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 3, x: 2, u: 2, e: 4, n: 3, o: 1}. What is prob of picking 1 n and 1 t?\n' | b'3/35\n' | b'Two letters picked without replacement from {t: 3, x: 2, u: 2, e: 4, n: 3, o: 1}. What is prob of picking 1 n and 1 t?\n' | b'3/35\n' | deepmind/math_dataset |
b'What is prob of picking 1 w and 2 k when three letters picked without replacement from wwgksk?\n' | b'1/10\n' | b'What is prob of picking 1 w and 2 k when three letters picked without replacement from wwgksk?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let q(a) be the third derivative of -4*a**2 + 0 - 1/60*a**5 - 1/40*a**6 + 0*a + 1/24*a**4 + 0*a**3. Determine q(1).\n' | b'-3\n' | b'Let q(a) be the third derivative of -4*a**2 + 0 - 1/60*a**5 - 1/40*a**6 + 0*a + 1/24*a**4 + 0*a**3. Determine q(1).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (n*n*n**4/n*n**(-4)*n)/(n/(n/(n**1*n)))**(3/23) assuming n is positive.\n' | b'n**(40/23)\n' | b'Simplify (n*n*n**4/n*n**(-4)*n)/(n/(n/(n**1*n)))**(3/23) assuming n is positive.\n' | b'n**(40/23)\n' | deepmind/math_dataset |
b'Simplify (((t**(1/2))**(-37/3)/(t**(-4)*t**(-2)*t))**(-10))**37 assuming t is positive.\n' | b't**(1295/3)\n' | b'Simplify (((t**(1/2))**(-37/3)/(t**(-4)*t**(-2)*t))**(-10))**37 assuming t is positive.\n' | b't**(1295/3)\n' | deepmind/math_dataset |
b'Let i(g) be the first derivative of -3/2*g**2 - 3 - g. Find the first derivative of i(a) wrt a.\n' | b'-3\n' | b'Let i(g) be the first derivative of -3/2*g**2 - 3 - g. Find the first derivative of i(a) wrt a.\n' | b'-3\n' | deepmind/math_dataset |
b'Let o be 32/48*2*3. Let t be (-3)/((-3)/4*2). Solve -3*i = -i - 2*z + o, t*i + 4 = 4*z for i.\n' | b'-2\n' | b'Let o be 32/48*2*3. Let t be (-3)/((-3)/4*2). Solve -3*i = -i - 2*z + o, t*i + 4 = 4*z for i.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 1, y: 1, n: 1, u: 1, s: 1}. Give prob of sequence yu.\n' | b'1/20\n' | b'Two letters picked without replacement from {f: 1, y: 1, n: 1, u: 1, s: 1}. Give prob of sequence yu.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let m(w) = -w**2 - 8*w - 8. Let c be m(-6). Let i = -13647 - -13649. Solve 0*b = -i*o + 2*b - 16, 0 = -c*o + 2*b - 24 for o.\n' | b'-4\n' | b'Let m(w) = -w**2 - 8*w - 8. Let c be m(-6). Let i = -13647 - -13649. Solve 0*b = -i*o + 2*b - 16, 0 = -c*o + 2*b - 24 for o.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uqbqqmqqcmbccmmq. What is prob of sequence mq?\n' | b'1/10\n' | b'Two letters picked without replacement from uqbqqmqqcmbccmmq. What is prob of sequence mq?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let k(g) be the second derivative of 9*g**2 + 1/12*g**4 + 8*g + 0 + 5/3*g**3. Let c be k(-8). Solve -2*q + 24 = c*l + 3*q, -2*l - 3*q = -16 for l.\n' | b'2\n' | b'Let k(g) be the second derivative of 9*g**2 + 1/12*g**4 + 8*g + 0 + 5/3*g**3. Let c be k(-8). Solve -2*q + 24 = c*l + 3*q, -2*l - 3*q = -16 for l.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 4*c - 55 = -c. Let h(b) = -b**3 - 31*b**2 - 33*b - 77. Let t be h(-30). Suppose 2*q = -i - t, 2*i + c = q - i. Let p(x) = 2*x - 2. What is p(q)?\n' | b'-10\n' | b'Suppose 4*c - 55 = -c. Let h(b) = -b**3 - 31*b**2 - 33*b - 77. Let t be h(-30). Suppose 2*q = -i - t, 2*i + c = q - i. Let p(x) = 2*x - 2. What is p(q)?\n' | b'-10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hahbeee. What is prob of sequence eha?\n' | b'1/35\n' | b'Three letters picked without replacement from hahbeee. What is prob of sequence eha?\n' | b'1/35\n' | deepmind/math_dataset |
b'What is prob of sequence nmn when three letters picked without replacement from nnm?\n' | b'1/3\n' | b'What is prob of sequence nmn when three letters picked without replacement from nnm?\n' | b'1/3\n' | deepmind/math_dataset |
b'Suppose 0*y - 4*y + 18 = 2*p, -y = -p - 6. What is the third derivative of 4*w**2 - 5*w**y + 3*w**5 + 4*w**5 - 5*w**5 wrt w?\n' | b'-180*w**2\n' | b'Suppose 0*y - 4*y + 18 = 2*p, -y = -p - 6. What is the third derivative of 4*w**2 - 5*w**y + 3*w**5 + 4*w**5 - 5*w**5 wrt w?\n' | b'-180*w**2\n' | deepmind/math_dataset |
b'Simplify (a**9*a*a*a/a**(1/2)*a*a**(-7)/(a*a*a/(a*(a/a**(-8)*a)/a)))**(-42) assuming a is positive.\n' | b'a**(-525)\n' | b'Simplify (a**9*a*a*a/a**(1/2)*a*a**(-7)/(a*a*a/(a*(a/a**(-8)*a)/a)))**(-42) assuming a is positive.\n' | b'a**(-525)\n' | deepmind/math_dataset |
b'Simplify j**(5/6)*j*(j/((j**11/j*j)/j))/j*j**(-17)*j*j**(-2/17) assuming j is positive.\n' | b'j**(-2477/102)\n' | b'Simplify j**(5/6)*j*(j/((j**11/j*j)/j))/j*j**(-17)*j*j**(-2/17) assuming j is positive.\n' | b'j**(-2477/102)\n' | deepmind/math_dataset |
b'Calculate prob of sequence nn when two letters picked without replacement from {p: 1, n: 2}.\n' | b'1/3\n' | b'Calculate prob of sequence nn when two letters picked without replacement from {p: 1, n: 2}.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let b(s) be the second derivative of s**5/60 - s**4/24 - 2*s**3/3 - 23*s**2/2 - 26*s. Let r(w) be the first derivative of b(w). What is r(3)?\n' | b'2\n' | b'Let b(s) be the second derivative of s**5/60 - s**4/24 - 2*s**3/3 - 23*s**2/2 - 26*s. Let r(w) be the first derivative of b(w). What is r(3)?\n' | b'2\n' | deepmind/math_dataset |
b'Let j(t) = -t**3 - 14*t**2 - 5*t - 62. Suppose -2*s - 5*h - 33 = 0, 11*s + 4*h = 7*s - 60. Give j(s).\n' | b'8\n' | b'Let j(t) = -t**3 - 14*t**2 - 5*t - 62. Suppose -2*s - 5*h - 33 = 0, 11*s + 4*h = 7*s - 60. Give j(s).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify (y/y**4*y*y**(-16)*y)/(y/y**(-9))**(-16) assuming y is positive.\n' | b'y**143\n' | b'Simplify (y/y**4*y*y**(-16)*y)/(y/y**(-9))**(-16) assuming y is positive.\n' | b'y**143\n' | deepmind/math_dataset |
b'Simplify (m/(m*m**39))**(-7/2) assuming m is positive.\n' | b'm**(273/2)\n' | b'Simplify (m/(m*m**39))**(-7/2) assuming m is positive.\n' | b'm**(273/2)\n' | deepmind/math_dataset |
b'Let q be (-1 + -1)/2 - (-15)/3. Suppose -2*i + 4*z - 16 + 0 = 0, -q*i = 3*z - 23. Find the second derivative of -29 - 29 + 58 + 3*d - 11*d**i wrt d.\n' | b'-22\n' | b'Let q be (-1 + -1)/2 - (-15)/3. Suppose -2*i + 4*z - 16 + 0 = 0, -q*i = 3*z - 23. Find the second derivative of -29 - 29 + 58 + 3*d - 11*d**i wrt d.\n' | b'-22\n' | deepmind/math_dataset |
b'Let p(y) = y**3 + 13*y**2 + 21*y - 11. Let w be p(-11). Suppose 2*b = 2, 3*i - 1 = -b - w. Solve i = -4*z + 3*u + 6, -u + 0 = 3*z - 11 for z.\n' | b'3\n' | b'Let p(y) = y**3 + 13*y**2 + 21*y - 11. Let w be p(-11). Suppose 2*b = 2, 3*i - 1 = -b - w. Solve i = -4*z + 3*u + 6, -u + 0 = 3*z - 11 for z.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (r**6*r/(r/r**(-2)))/(r/r**0)**(-1/42)*r/(r/(r*r**(-4))*r)*(r/(((r**0/r)/r)/r))/r*r*(r**(-1/2)/r*r)**(3/8) assuming r is positive.\n' | b'r**(1289/336)\n' | b'Simplify (r**6*r/(r/r**(-2)))/(r/r**0)**(-1/42)*r/(r/(r*r**(-4))*r)*(r/(((r**0/r)/r)/r))/r*r*(r**(-1/2)/r*r)**(3/8) assuming r is positive.\n' | b'r**(1289/336)\n' | deepmind/math_dataset |
b'Let n be 6/36 + 100/120. Solve 0 = 11*w - 8*w + 3, 0 = -i - w - n for i.\n' | b'0\n' | b'Let n be 6/36 + 100/120. Solve 0 = 11*w - 8*w + 3, 0 = -i - w - n for i.\n' | b'0\n' | deepmind/math_dataset |
b'Let b(s) = s - 5. Let l = -2826 + 2816. Calculate b(l).\n' | b'-15\n' | b'Let b(s) = s - 5. Let l = -2826 + 2816. Calculate b(l).\n' | b'-15\n' | deepmind/math_dataset |
b'Simplify (((n**(2/5)*n*n)/n**(-6))/((n**(-4)*n*n)/n**(1/3)))**39 assuming n is positive.\n' | b'n**(2093/5)\n' | b'Simplify (((n**(2/5)*n*n)/n**(-6))/((n**(-4)*n*n)/n**(1/3)))**39 assuming n is positive.\n' | b'n**(2093/5)\n' | deepmind/math_dataset |
b'Let b be -3 + -2 - (-60)/6. Suppose -o = 5*n - 14, 3 = -b*o + 23. Solve n*h + 5 = k, -3*k - 10 = -0*h - h for h.\n' | b'-5\n' | b'Let b be -3 + -2 - (-60)/6. Suppose -o = 5*n - 14, 3 = -b*o + 23. Solve n*h + 5 = k, -3*k - 10 = -0*h - h for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence ci when two letters picked without replacement from ffcfiiicgsfstss.\n' | b'1/35\n' | b'Calculate prob of sequence ci when two letters picked without replacement from ffcfiiicgsfstss.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let g(u) = -107*u + 1086. Let p be g(10). Solve 21*j + 2*t - 23 = p*j, 4*t = j + 13 for j.\n' | b'3\n' | b'Let g(u) = -107*u + 1086. Let p be g(10). Solve 21*j + 2*t - 23 = p*j, 4*t = j + 13 for j.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 1, f: 1, y: 1}. What is prob of picking 1 v and 1 f?\n' | b'1/3\n' | b'Two letters picked without replacement from {v: 1, f: 1, y: 1}. What is prob of picking 1 v and 1 f?\n' | b'1/3\n' | deepmind/math_dataset |
b'What is prob of picking 2 x when two letters picked without replacement from {d: 1, c: 1, q: 4, x: 11}?\n' | b'55/136\n' | b'What is prob of picking 2 x when two letters picked without replacement from {d: 1, c: 1, q: 4, x: 11}?\n' | b'55/136\n' | deepmind/math_dataset |
b'Suppose -3*j - 5 = d + 4, -2*d - 5*j = 15. Solve -2*u + r + 2*r + 9 = d, -4*u + 2*r + 14 = 0 for u.\n' | b'3\n' | b'Suppose -3*j - 5 = d + 4, -2*d - 5*j = 15. Solve -2*u + r + 2*r + 9 = d, -4*u + 2*r + 14 = 0 for u.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify q**(-1/6)*q**0/q*q/q**(-1/4)*q*(q*q**(8/7)*q)/q assuming q is positive.\n' | b'q**(271/84)\n' | b'Simplify q**(-1/6)*q**0/q*q/q**(-1/4)*q*(q*q**(8/7)*q)/q assuming q is positive.\n' | b'q**(271/84)\n' | deepmind/math_dataset |
b'What is the first derivative of -57 + 0*u**4 - u**4 + 82 wrt u?\n' | b'-4*u**3\n' | b'What is the first derivative of -57 + 0*u**4 - u**4 + 82 wrt u?\n' | b'-4*u**3\n' | deepmind/math_dataset |
b'Simplify ((f**(-2/7))**(-44)/(((f/(f/f**(-3/2))*f)/f)/(((f*f**(-1/5)*f)/f)/f)))**(2/107) assuming f is positive.\n' | b'f**(971/3745)\n' | b'Simplify ((f**(-2/7))**(-44)/(((f/(f/f**(-3/2))*f)/f)/(((f*f**(-1/5)*f)/f)/f)))**(2/107) assuming f is positive.\n' | b'f**(971/3745)\n' | deepmind/math_dataset |
b'Let i(u) = 572*u**2 - 271*u**2 - 277*u**2 - 1 - 2*u. Give i(-1).\n' | b'25\n' | b'Let i(u) = 572*u**2 - 271*u**2 - 277*u**2 - 1 - 2*u. Give i(-1).\n' | b'25\n' | deepmind/math_dataset |
b'What is the first derivative of -14762581*h**3 + 1907 + 5368 + 14769716*h**3 wrt h?\n' | b'21405*h**2\n' | b'What is the first derivative of -14762581*h**3 + 1907 + 5368 + 14769716*h**3 wrt h?\n' | b'21405*h**2\n' | deepmind/math_dataset |
b'Let x(k) = 5*k**3 - 2. Suppose 2*o = 4 - 6. Let z(d) = -d**3. Let h(r) = o*x(r) - 6*z(r). What is the derivative of h(s) wrt s?\n' | b'3*s**2\n' | b'Let x(k) = 5*k**3 - 2. Suppose 2*o = 4 - 6. Let z(d) = -d**3. Let h(r) = o*x(r) - 6*z(r). What is the derivative of h(s) wrt s?\n' | b'3*s**2\n' | deepmind/math_dataset |
b'Find the third derivative of -191 - 27*k**3 + 364*k**3 - 6*k**2 + 185 + 387*k**3 wrt k.\n' | b'4344\n' | b'Find the third derivative of -191 - 27*k**3 + 364*k**3 - 6*k**2 + 185 + 387*k**3 wrt k.\n' | b'4344\n' | deepmind/math_dataset |
b'Let x(h) = -h**3 - 4*h**2 + 4*h - 6. Let l be (1 + 1)*-1 + (16 - 4). Suppose 3 = -t + 6. Suppose -l = t*y - y. Determine x(y).\n' | b'-1\n' | b'Let x(h) = -h**3 - 4*h**2 + 4*h - 6. Let l be (1 + 1)*-1 + (16 - 4). Suppose 3 = -t + 6. Suppose -l = t*y - y. Determine x(y).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((v**(1/6)/v)**25)**(2/21)*(v/((v*v**12)/v)*v**(2/3))**(3/10) assuming v is positive.\n' | b'v**(-3203/630)\n' | b'Simplify ((v**(1/6)/v)**25)**(2/21)*(v/((v*v**12)/v)*v**(2/3))**(3/10) assuming v is positive.\n' | b'v**(-3203/630)\n' | deepmind/math_dataset |
b'Suppose -n + 7 - 3 = -d, 0 = -n + 3*d + 10. Solve 0 = o - 1, 4*f + n = -5*o - 2 for f.\n' | b'-2\n' | b'Suppose -n + 7 - 3 = -d, 0 = -n + 3*d + 10. Solve 0 = o - 1, 4*f + n = -5*o - 2 for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((h*h*h/(h/(h**(-7/5)*h)))/(h**6*h))**(-18)/(((h*(h**(3/2)/h*h)/h)/h)/(h/(h**2/h)))**(-1/17) assuming h is positive.\n' | b'h**(16529/170)\n' | b'Simplify ((h*h*h/(h/(h**(-7/5)*h)))/(h**6*h))**(-18)/(((h*(h**(3/2)/h*h)/h)/h)/(h/(h**2/h)))**(-1/17) assuming h is positive.\n' | b'h**(16529/170)\n' | deepmind/math_dataset |
b'What is prob of sequence tg when two letters picked without replacement from ttgpttttgtpgntggtg?\n' | b'3/17\n' | b'What is prob of sequence tg when two letters picked without replacement from ttgpttttgtpgntggtg?\n' | b'3/17\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 2, r: 1, h: 1, o: 1}. What is prob of sequence uru?\n' | b'1/30\n' | b'Three letters picked without replacement from {u: 2, r: 1, h: 1, o: 1}. What is prob of sequence uru?\n' | b'1/30\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 3, f: 2, y: 1, t: 1, l: 8, a: 5}. What is prob of sequence ell?\n' | b'7/285\n' | b'Three letters picked without replacement from {e: 3, f: 2, y: 1, t: 1, l: 8, a: 5}. What is prob of sequence ell?\n' | b'7/285\n' | deepmind/math_dataset |
b'Let j(r) be the first derivative of 9*r**2/2 + 174*r - 148. What is the derivative of j(q) wrt q?\n' | b'9\n' | b'Let j(r) be the first derivative of 9*r**2/2 + 174*r - 148. What is the derivative of j(q) wrt q?\n' | b'9\n' | deepmind/math_dataset |
b'Simplify (j/(j/(j*j**2*j)*j*j))**(-11)/(j**(-2))**(-3/26)*((j**(1/5))**(11/3))**22 assuming j is positive.\n' | b'j**(-1189/195)\n' | b'Simplify (j/(j/(j*j**2*j)*j*j))**(-11)/(j**(-2))**(-3/26)*((j**(1/5))**(11/3))**22 assuming j is positive.\n' | b'j**(-1189/195)\n' | deepmind/math_dataset |
b'Suppose -7*p = -11*p + 100. Let u = p - 21. Solve d + 5*w = -8, -4*d - u = -2*w - 16 for d.\n' | b'2\n' | b'Suppose -7*p = -11*p + 100. Let u = p - 21. Solve d + 5*w = -8, -4*d - u = -2*w - 16 for d.\n' | b'2\n' | deepmind/math_dataset |
b'Let y(o) = 3*o + 0*o + 1 - 4 + 3*o. Let i be (-2)/(-6) - 80/(-12). Suppose -4*n = -1 - i. Calculate y(n).\n' | b'9\n' | b'Let y(o) = 3*o + 0*o + 1 - 4 + 3*o. Let i be (-2)/(-6) - 80/(-12). Suppose -4*n = -1 - i. Calculate y(n).\n' | b'9\n' | deepmind/math_dataset |
b'Let g(n) = 2*n**2 - 6*n - 1. Let b(i) be the first derivative of -2*i**3/3 - 13*i**2/2 - 15*i + 201. Let j be b(-4). Calculate g(j).\n' | b'19\n' | b'Let g(n) = 2*n**2 - 6*n - 1. Let b(i) be the first derivative of -2*i**3/3 - 13*i**2/2 - 15*i + 201. Let j be b(-4). Calculate g(j).\n' | b'19\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z, 1 c, and 1 g when three letters picked without replacement from vgcgczc.\n' | b'6/35\n' | b'Calculate prob of picking 1 z, 1 c, and 1 g when three letters picked without replacement from vgcgczc.\n' | b'6/35\n' | deepmind/math_dataset |
b'Let u(m) = 2*m**2 - 1 + 0*m**2 - 142*m + 143*m. Let d(b) = 102*b**2 - 2*b + 7. Let z(h) = -d(h) + 2*u(h). Find the second derivative of z(f) wrt f.\n' | b'-196\n' | b'Let u(m) = 2*m**2 - 1 + 0*m**2 - 142*m + 143*m. Let d(b) = 102*b**2 - 2*b + 7. Let z(h) = -d(h) + 2*u(h). Find the second derivative of z(f) wrt f.\n' | b'-196\n' | deepmind/math_dataset |
b'Let c = 4 - 1. Suppose c*n - 6 = -0*n. Suppose 7*y - 153 = -160, -o = -4*y - 13. Solve -2*b + o = u, 0 = -n*u + 4*b - 6*b + 8 for u.\n' | b'-1\n' | b'Let c = 4 - 1. Suppose c*n - 6 = -0*n. Suppose 7*y - 153 = -160, -o = -4*y - 13. Solve -2*b + o = u, 0 = -n*u + 4*b - 6*b + 8 for u.\n' | b'-1\n' | deepmind/math_dataset |
b'Let i be (2 + -2)/1 + -6. Let z(j) = 0*j - 6 - 4*j + 3*j + 2. Determine z(i).\n' | b'2\n' | b'Let i be (2 + -2)/1 + -6. Let z(j) = 0*j - 6 - 4*j + 3*j + 2. Determine z(i).\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -10*t + 121 + 389 = 0. Differentiate t*a + 177 - 21*a + 115 - 110*a - 130*a wrt a.\n' | b'-210\n' | b'Suppose -10*t + 121 + 389 = 0. Differentiate t*a + 177 - 21*a + 115 - 110*a - 130*a wrt a.\n' | b'-210\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 2, t: 1, n: 2, s: 2, o: 1}. What is prob of picking 1 s and 1 n?\n' | b'1/7\n' | b'Two letters picked without replacement from {a: 2, t: 1, n: 2, s: 2, o: 1}. What is prob of picking 1 s and 1 n?\n' | b'1/7\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 s and 1 r when three letters picked without replacement from {r: 8, k: 5, s: 2}.\n' | b'8/455\n' | b'Calculate prob of picking 2 s and 1 r when three letters picked without replacement from {r: 8, k: 5, s: 2}.\n' | b'8/455\n' | deepmind/math_dataset |
b'Let z(a) = -a**2 + a. Let c(g) = -6*g + 9. Let b(s) = -4*s. Let t be b(-3). Let m = t - 6. Let h(u) = m*z(u) + c(u). Differentiate h(w) with respect to w.\n' | b'-12*w\n' | b'Let z(a) = -a**2 + a. Let c(g) = -6*g + 9. Let b(s) = -4*s. Let t be b(-3). Let m = t - 6. Let h(u) = m*z(u) + c(u). Differentiate h(w) with respect to w.\n' | b'-12*w\n' | deepmind/math_dataset |
b'Calculate prob of sequence ajj when three letters picked without replacement from {j: 4, y: 2, b: 1, a: 5, d: 4}.\n' | b'1/56\n' | b'Calculate prob of sequence ajj when three letters picked without replacement from {j: 4, y: 2, b: 1, a: 5, d: 4}.\n' | b'1/56\n' | deepmind/math_dataset |
b'Suppose 118059*j + 12 = 118065*j. Solve -5*r = i - 2, -2*i = j*i - 8 for r.\n' | b'0\n' | b'Suppose 118059*j + 12 = 118065*j. Solve -5*r = i - 2, -2*i = j*i - 8 for r.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from whhhswwwwoohswgwogw. Give prob of picking 1 s and 1 h.\n' | b'8/171\n' | b'Two letters picked without replacement from whhhswwwwoohswgwogw. Give prob of picking 1 s and 1 h.\n' | b'8/171\n' | deepmind/math_dataset |
b'Simplify (n**1/n**2)/((n**(1/4)*n)/(n*n**4*n)) assuming n is positive.\n' | b'n**(15/4)\n' | b'Simplify (n**1/n**2)/((n**(1/4)*n)/(n*n**4*n)) assuming n is positive.\n' | b'n**(15/4)\n' | deepmind/math_dataset |
b'Simplify l/(l**(2/19)*l)*l/(l/((l/(l*l**(-24)*l))/l)*l)*((l*l**(-2/35))/l)**30 assuming l is positive.\n' | b'l**(2551/133)\n' | b'Simplify l/(l**(2/19)*l)*l/(l/((l/(l*l**(-24)*l))/l)*l)*((l*l**(-2/35))/l)**30 assuming l is positive.\n' | b'l**(2551/133)\n' | deepmind/math_dataset |
b'Let t(f) = 6 + 7 + 812*f**3 - 3*f**2 - 813*f**3. Calculate t(0).\n' | b'13\n' | b'Let t(f) = 6 + 7 + 812*f**3 - 3*f**2 - 813*f**3. Calculate t(0).\n' | b'13\n' | deepmind/math_dataset |
b'Let n(s) = -3*s**2 + 88*s + 87. Let y be n(37). Let i = -769 - y. Let w(r) = -r**3 - 3*r**2 + 5*r - 3. Give w(i).\n' | b'22\n' | b'Let n(s) = -3*s**2 + 88*s + 87. Let y be n(37). Let i = -769 - y. Let w(r) = -r**3 - 3*r**2 + 5*r - 3. Give w(i).\n' | b'22\n' | deepmind/math_dataset |
b'What is prob of sequence yyud when four letters picked without replacement from qeyeydeeeuy?\n' | b'1/1320\n' | b'What is prob of sequence yyud when four letters picked without replacement from qeyeydeeeuy?\n' | b'1/1320\n' | deepmind/math_dataset |
b'Simplify x**(2/5)/x**9*(x*x**(1/2))**37 assuming x is positive.\n' | b'x**(469/10)\n' | b'Simplify x**(2/5)/x**9*(x*x**(1/2))**37 assuming x is positive.\n' | b'x**(469/10)\n' | deepmind/math_dataset |
b'Simplify s**(-2/9)*s/s**(-6)*(s*s/(s/((s*s/s**(-1/4))/s*s)))/(s**(-1)/s*s)*(s**(-4)*s**(-1/6))**(13/2) assuming s is positive.\n' | b's**(-289/18)\n' | b'Simplify s**(-2/9)*s/s**(-6)*(s*s/(s/((s*s/s**(-1/4))/s*s)))/(s**(-1)/s*s)*(s**(-4)*s**(-1/6))**(13/2) assuming s is positive.\n' | b's**(-289/18)\n' | deepmind/math_dataset |
b'Let l(s) = s**2 + s - 1. Let f be l(-2). Suppose d + f = 8. Let v = -5 + d. Solve w + u = v*u - 7, 4*w + 5*u - 17 = 0 for w.\n' | b'-2\n' | b'Let l(s) = s**2 + s - 1. Let f be l(-2). Suppose d + f = 8. Let v = -5 + d. Solve w + u = v*u - 7, 4*w + 5*u - 17 = 0 for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Let m be (-7)/2*((-48)/1)/1. Let n = 172 - m. Let c(r) = r**3 - 2*r**2 - 4*r + 6. What is c(n)?\n' | b'22\n' | b'Let m be (-7)/2*((-48)/1)/1. Let n = 172 - m. Let c(r) = r**3 - 2*r**2 - 4*r + 6. What is c(n)?\n' | b'22\n' | deepmind/math_dataset |
b'Calculate prob of sequence lix when three letters picked without replacement from lwiiinwnqnixilnii.\n' | b'7/2040\n' | b'Calculate prob of sequence lix when three letters picked without replacement from lwiiinwnqnixilnii.\n' | b'7/2040\n' | deepmind/math_dataset |
b'What is prob of picking 1 x and 1 n when two letters picked without replacement from {x: 6, n: 13}?\n' | b'26/57\n' | b'What is prob of picking 1 x and 1 n when two letters picked without replacement from {x: 6, n: 13}?\n' | b'26/57\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 1 m when two letters picked without replacement from mgmmggmggmmggcmgm.\n' | b'1/17\n' | b'Calculate prob of picking 1 c and 1 m when two letters picked without replacement from mgmmggmggmmggcmgm.\n' | b'1/17\n' | deepmind/math_dataset |
b'Suppose 0 = 5*w + 5*j - 50, -2*w = -6*j + 5*j - 5. Suppose 5*r - w*o = -15, 6*r = r + 2*o. Solve 4*f - 3*b = r*b, 3*f - 5*b - 5 = 0 for f.\n' | b'-5\n' | b'Suppose 0 = 5*w + 5*j - 50, -2*w = -6*j + 5*j - 5. Suppose 5*r - w*o = -15, 6*r = r + 2*o. Solve 4*f - 3*b = r*b, 3*f - 5*b - 5 = 0 for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Let f be (-2)/((-365)/60 + 5 + 1). Let h(u) = 7*u - 163. Let t be h(f). Solve 4*y - 2 = -2*w, -y + 6*y + 5 = t*w for y.\n' | b'0\n' | b'Let f be (-2)/((-365)/60 + 5 + 1). Let h(u) = 7*u - 163. Let t be h(f). Solve 4*y - 2 = -2*w, -y + 6*y + 5 = t*w for y.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify i*(i/i**(-2/21))/i*i*((i*i*i*i**(1/11))/i)/i*i*(i/((i*i**10)/i))**11 assuming i is positive.\n' | b'i**(-21902/231)\n' | b'Simplify i*(i/i**(-2/21))/i*i*((i*i*i*i**(1/11))/i)/i*i*(i/((i*i**10)/i))**11 assuming i is positive.\n' | b'i**(-21902/231)\n' | deepmind/math_dataset |
b'Simplify a**(-12)/a*a*a*a*a/(a/(a/(a/a**(-9/2))*a))*a assuming a is positive.\n' | b'a**(-25/2)\n' | b'Simplify a**(-12)/a*a*a*a*a/(a/(a/(a/a**(-9/2))*a))*a assuming a is positive.\n' | b'a**(-25/2)\n' | deepmind/math_dataset |
b'Simplify (o/o**(-7)*o*o/o**(-1/3)*o)/(o**(-6)*o/o**(-7))*(o*o*o**(-1/2))**24/(o*(o/(o*o**1))/o*o)**(-6/23) assuming o is positive.\n' | b'o**(136/3)\n' | b'Simplify (o/o**(-7)*o*o/o**(-1/3)*o)/(o**(-6)*o/o**(-7))*(o*o*o**(-1/2))**24/(o*(o/(o*o**1))/o*o)**(-6/23) assuming o is positive.\n' | b'o**(136/3)\n' | deepmind/math_dataset |
b'Suppose 6*w - 10*w + 8 = 0. Let t(n) be the second derivative of -3/2*n**w - 3*n + 1/2*n**3 + 0. What is t(4)?\n' | b'9\n' | b'Suppose 6*w - 10*w + 8 = 0. Let t(n) be the second derivative of -3/2*n**w - 3*n + 1/2*n**3 + 0. What is t(4)?\n' | b'9\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vjvvvjvvvvjjvvvvjvv. What is prob of picking 1 j and 2 v?\n' | b'455/969\n' | b'Three letters picked without replacement from vjvvvjvvvvjjvvvvjvv. What is prob of picking 1 j and 2 v?\n' | b'455/969\n' | deepmind/math_dataset |
b'Let z(y) = -2*y**2 + 6*y + 31. Let k(v) = v**2 - 3*v - 15. Let o(f) = -5*k(f) - 2*z(f). Determine o(6).\n' | b'-5\n' | b'Let z(y) = -2*y**2 + 6*y + 31. Let k(v) = v**2 - 3*v - 15. Let o(f) = -5*k(f) - 2*z(f). Determine o(6).\n' | b'-5\n' | deepmind/math_dataset |
b'Let g(j) = -j**3 - 6*j**2 + 8*j - 2. Let r be g(-7). Let i be (-30)/r + (-2)/(-3). Let s(a) = 2 + 2*a - 10*a**2 + 1 - i. Give s(1).\n' | b'-9\n' | b'Let g(j) = -j**3 - 6*j**2 + 8*j - 2. Let r be g(-7). Let i be (-30)/r + (-2)/(-3). Let s(a) = 2 + 2*a - 10*a**2 + 1 - i. Give s(1).\n' | b'-9\n' | deepmind/math_dataset |
b'What is prob of picking 1 l and 3 e when four letters picked without replacement from eeleo?\n' | b'1/5\n' | b'What is prob of picking 1 l and 3 e when four letters picked without replacement from eeleo?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let g(c) = 44 - 325*c**2 - 328*c**2 + 1311*c**2 - 327*c**2 - 31*c - 334*c**2. Determine g(-11).\n' | b'22\n' | b'Let g(c) = 44 - 325*c**2 - 328*c**2 + 1311*c**2 - 327*c**2 - 31*c - 334*c**2. Determine g(-11).\n' | b'22\n' | deepmind/math_dataset |
b'What is prob of picking 2 h when two letters picked without replacement from {v: 1, h: 4, c: 2}?\n' | b'2/7\n' | b'What is prob of picking 2 h when two letters picked without replacement from {v: 1, h: 4, c: 2}?\n' | b'2/7\n' | deepmind/math_dataset |
b'Let h(c) = 1 - 2*c**4 - 1 + 4*c**4 + 3*c + 2. Let o(a) = -6*a**4 - 10*a - 7. Let m(t) = -7*h(t) - 2*o(t). What is the second derivative of m(r) wrt r?\n' | b'-24*r**2\n' | b'Let h(c) = 1 - 2*c**4 - 1 + 4*c**4 + 3*c + 2. Let o(a) = -6*a**4 - 10*a - 7. Let m(t) = -7*h(t) - 2*o(t). What is the second derivative of m(r) wrt r?\n' | b'-24*r**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 1, k: 1, i: 3, n: 2, x: 12}. Give prob of picking 1 i and 1 x.\n' | b'4/19\n' | b'Two letters picked without replacement from {q: 1, k: 1, i: 3, n: 2, x: 12}. Give prob of picking 1 i and 1 x.\n' | b'4/19\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 2, n: 3, f: 3}. Give prob of sequence dfnf.\n' | b'3/140\n' | b'Four letters picked without replacement from {d: 2, n: 3, f: 3}. Give prob of sequence dfnf.\n' | b'3/140\n' | deepmind/math_dataset |
b'Simplify (l**(-4))**(2/7) assuming l is positive.\n' | b'l**(-8/7)\n' | b'Simplify (l**(-4))**(2/7) assuming l is positive.\n' | b'l**(-8/7)\n' | deepmind/math_dataset |
b'Let z(b) = -b**3 + 4*b**2 - 3*b + 27. Let j be z(4). Solve -3*k = -k + 2*c + 2, 5*c = 5*k + j for k.\n' | b'-2\n' | b'Let z(b) = -b**3 + 4*b**2 - 3*b + 27. Let j be z(4). Solve -3*k = -k + 2*c + 2, 5*c = 5*k + j for k.\n' | b'-2\n' | deepmind/math_dataset |
b'Let c(d) be the second derivative of -d**6/720 + d**5/20 + d**4/6 + 15*d. Let l(o) be the third derivative of c(o). Give l(5).\n' | b'1\n' | b'Let c(d) be the second derivative of -d**6/720 + d**5/20 + d**4/6 + 15*d. Let l(o) be the third derivative of c(o). Give l(5).\n' | b'1\n' | deepmind/math_dataset |
b'Let z be (-16)/(-6)*(-9)/2. Let w(t) be the third derivative of t**6/120 + 11*t**5/60 - t**4/2 - 11*t**3/6 - 3*t**2 - t - 1621. Give w(z).\n' | b'-11\n' | b'Let z be (-16)/(-6)*(-9)/2. Let w(t) be the third derivative of t**6/120 + 11*t**5/60 - t**4/2 - 11*t**3/6 - 3*t**2 - t - 1621. Give w(z).\n' | b'-11\n' | deepmind/math_dataset |
b'Calculate prob of sequence lhb when three letters picked without replacement from bbiblbbailibhzbbzb.\n' | b'1/272\n' | b'Calculate prob of sequence lhb when three letters picked without replacement from bbiblbbailibhzbbzb.\n' | b'1/272\n' | deepmind/math_dataset |
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