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'Suppose -102 = -9*w + 89 - 173. Let y(u) be the first derivative of 5 + 25/3*u**3 - 33/2*u**w + 0*u. What is the second derivative of y(s) wrt s?\n' | b'50\n' | b'Suppose -102 = -9*w + 89 - 173. Let y(u) be the first derivative of 5 + 25/3*u**3 - 33/2*u**w + 0*u. What is the second derivative of y(s) wrt s?\n' | b'50\n' | deepmind/math_dataset |
b'Suppose 0 = -18*b + 26*b - 16. Let k(p) = p**2 - 9*p + 12*p + 0*p**2 - 4*p + b. Give k(6).\n' | b'32\n' | b'Suppose 0 = -18*b + 26*b - 16. Let k(p) = p**2 - 9*p + 12*p + 0*p**2 - 4*p + b. Give k(6).\n' | b'32\n' | deepmind/math_dataset |
b'Simplify (o*o**2/o)/o**5*(o**4/o)/(o/(o*o**(1/6)*o)*o) assuming o is positive.\n' | b'o**(1/6)\n' | b'Simplify (o*o**2/o)/o**5*(o**4/o)/(o/(o*o**(1/6)*o)*o) assuming o is positive.\n' | b'o**(1/6)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aqap. What is prob of sequence paa?\n' | b'1/12\n' | b'Three letters picked without replacement from aqap. What is prob of sequence paa?\n' | b'1/12\n' | deepmind/math_dataset |
b'Suppose 9 = -4*x + 65. Find the first derivative of -70*d**3 - x + 48*d**3 - 10 + 8 wrt d.\n' | b'-66*d**2\n' | b'Suppose 9 = -4*x + 65. Find the first derivative of -70*d**3 - x + 48*d**3 - 10 + 8 wrt d.\n' | b'-66*d**2\n' | deepmind/math_dataset |
b'Simplify ((k/(k**19/k))/k*k**10*k**(7/5)*k**17)**(-41) assuming k is positive.\n' | b'k**(-2132/5)\n' | b'Simplify ((k/(k**19/k))/k*k**10*k**(7/5)*k**17)**(-41) assuming k is positive.\n' | b'k**(-2132/5)\n' | deepmind/math_dataset |
b'Simplify ((y**(-1/17)*y)/((y/((y**(2/27)*y)/y))/y))/((y*y**(-2/45))/y*y*y/y**6) assuming y is positive.\n' | b'y**(11612/2295)\n' | b'Simplify ((y**(-1/17)*y)/((y/((y**(2/27)*y)/y))/y))/((y*y**(-2/45))/y*y*y/y**6) assuming y is positive.\n' | b'y**(11612/2295)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 x and 2 f when four letters picked without replacement from {a: 3, f: 5, x: 2, u: 5}.\n' | b'2/273\n' | b'Calculate prob of picking 2 x and 2 f when four letters picked without replacement from {a: 3, f: 5, x: 2, u: 5}.\n' | b'2/273\n' | deepmind/math_dataset |
b'Calculate prob of sequence eni when three letters picked without replacement from jejgxxjingnj.\n' | b'1/660\n' | b'Calculate prob of sequence eni when three letters picked without replacement from jejgxxjingnj.\n' | b'1/660\n' | deepmind/math_dataset |
b'Let d(o) be the first derivative of o**4/4 + o**3 - 7*o**2/2 - 6*o - 106. Let g be (-5)/1*(-4)/(-5). Calculate d(g).\n' | b'6\n' | b'Let d(o) be the first derivative of o**4/4 + o**3 - 7*o**2/2 - 6*o - 106. Let g be (-5)/1*(-4)/(-5). Calculate d(g).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (u**(-2/11)*u/u**9)**(-11/3)/(((((u**7/u)/u)/u)/(u*u**4))/(u*u*((u*u/(u/(u*u**1*u)*u))/u)/u)**31) assuming u is positive.\n' | b'u**124\n' | b'Simplify (u**(-2/11)*u/u**9)**(-11/3)/(((((u**7/u)/u)/u)/(u*u**4))/(u*u*((u*u/(u/(u*u**1*u)*u))/u)/u)**31) assuming u is positive.\n' | b'u**124\n' | deepmind/math_dataset |
b'Let z = -29 + 34. Suppose -287*i - f = -292*i + 8, -f + 19 = 4*i. Solve -z*j - w + 15 = 34, 0 = -i*w + 3 for j.\n' | b'-4\n' | b'Let z = -29 + 34. Suppose -287*i - f = -292*i + 8, -f + 19 = 4*i. Solve -z*j - w + 15 = 34, 0 = -i*w + 3 for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from olkglzkkkkmmlzglk. What is prob of picking 1 k and 1 l?\n' | b'3/17\n' | b'Two letters picked without replacement from olkglzkkkkmmlzglk. What is prob of picking 1 k and 1 l?\n' | b'3/17\n' | deepmind/math_dataset |
b'Let m(q) = 6 - 7*q - 3 + 11*q**3 + 7*q**2 - 12*q**3. Determine m(6).\n' | b'-3\n' | b'Let m(q) = 6 - 7*q - 3 + 11*q**3 + 7*q**2 - 12*q**3. Determine m(6).\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 3, w: 15}. Give prob of picking 2 w.\n' | b'35/51\n' | b'Two letters picked without replacement from {k: 3, w: 15}. Give prob of picking 2 w.\n' | b'35/51\n' | deepmind/math_dataset |
b'Simplify z**(-1/5)*z*z**(-3/8)*z*z*(z/(z/(z/((z*z**(-3/10)/z)/z))))/z*z*z**(2/7)*(z/(z/(z/(z**(-2/9)*z)))*z**2)/((z**(1/7)/z)/(z/z**5)) assuming z is positive.\n' | b'z**(10307/2520)\n' | b'Simplify z**(-1/5)*z*z**(-3/8)*z*z*(z/(z/(z/((z*z**(-3/10)/z)/z))))/z*z*z**(2/7)*(z/(z/(z/(z**(-2/9)*z)))*z**2)/((z**(1/7)/z)/(z/z**5)) assuming z is positive.\n' | b'z**(10307/2520)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kcicjqwq. What is prob of sequence qkc?\n' | b'1/84\n' | b'Three letters picked without replacement from kcicjqwq. What is prob of sequence qkc?\n' | b'1/84\n' | deepmind/math_dataset |
b'Let g(m) = -3*m + 7. Let s be g(3). Let a be (10/2)/(3 + s). Find the third derivative of -8*b**2 + 3*b**5 - 5*b**a + 6*b**5 wrt b.\n' | b'240*b**2\n' | b'Let g(m) = -3*m + 7. Let s be g(3). Let a be (10/2)/(3 + s). Find the third derivative of -8*b**2 + 3*b**5 - 5*b**a + 6*b**5 wrt b.\n' | b'240*b**2\n' | deepmind/math_dataset |
b'Let f(g) = -g**2 + 4*g. Let y(k) = -k**3 + 7*k**2 - 7*k + 3. Let t be y(5). Let r = -15 + t. Let c be f(r). Solve c*l = 5*q - 11, -2*q + 2*l = -0*q - 6 for q.\n' | b'1\n' | b'Let f(g) = -g**2 + 4*g. Let y(k) = -k**3 + 7*k**2 - 7*k + 3. Let t be y(5). Let r = -15 + t. Let c be f(r). Solve c*l = 5*q - 11, -2*q + 2*l = -0*q - 6 for q.\n' | b'1\n' | deepmind/math_dataset |
b'Let i(r) = -r**3 + 17*r**2 - 10*r - 54. Let l be i(17). Let o = 228 + l. Solve -t + 5 + 7 = 4*b, -3*b - o*t = -9 for b.\n' | b'3\n' | b'Let i(r) = -r**3 + 17*r**2 - 10*r - 54. Let l be i(17). Let o = 228 + l. Solve -t + 5 + 7 = 4*b, -3*b - o*t = -9 for b.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 8, u: 3, p: 2, l: 1, d: 1, t: 3}. What is prob of sequence ltd?\n' | b'1/1632\n' | b'Three letters picked without replacement from {h: 8, u: 3, p: 2, l: 1, d: 1, t: 3}. What is prob of sequence ltd?\n' | b'1/1632\n' | deepmind/math_dataset |
b'Simplify ((f**4*f)/(f/(f/(f*f**5)*f)))/(f/(f**2*f)*f**6)*(f**(-1/2))**(-2/93)/((f/((f**0*f)/f)*f)/((f**(1/5)/f)/f)) assuming f is positive.\n' | b'f**(-3622/465)\n' | b'Simplify ((f**4*f)/(f/(f/(f*f**5)*f)))/(f/(f**2*f)*f**6)*(f**(-1/2))**(-2/93)/((f/((f**0*f)/f)*f)/((f**(1/5)/f)/f)) assuming f is positive.\n' | b'f**(-3622/465)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ymeey. What is prob of sequence yeey?\n' | b'1/30\n' | b'Four letters picked without replacement from ymeey. What is prob of sequence yeey?\n' | b'1/30\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z and 1 y when two letters picked without replacement from yyyyyyzyyyyzmy.\n' | b'22/91\n' | b'Calculate prob of picking 1 z and 1 y when two letters picked without replacement from yyyyyyzyyyyzmy.\n' | b'22/91\n' | deepmind/math_dataset |
b'Suppose -s - 10 = -3*j, j = -5*s - 1 + 31. Let p(v) = v**2 + 2*v - 2. Determine p(j).\n' | b'33\n' | b'Suppose -s - 10 = -3*j, j = -5*s - 1 + 31. Let p(v) = v**2 + 2*v - 2. Determine p(j).\n' | b'33\n' | deepmind/math_dataset |
b'Let f(i) = 119 - 6*i - 89 + 0*i. Let r be f(5). Solve r = 5*g - l - 3 - 3, -2*g - l = -8 for g.\n' | b'2\n' | b'Let f(i) = 119 - 6*i - 89 + 0*i. Let r be f(5). Solve r = 5*g - l - 3 - 3, -2*g - l = -8 for g.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 1, s: 3, c: 6, g: 6, f: 2, k: 2}. What is prob of sequence cffs?\n' | b'1/3230\n' | b'Four letters picked without replacement from {m: 1, s: 3, c: 6, g: 6, f: 2, k: 2}. What is prob of sequence cffs?\n' | b'1/3230\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gugug. Give prob of sequence ug.\n' | b'3/10\n' | b'Two letters picked without replacement from gugug. Give prob of sequence ug.\n' | b'3/10\n' | deepmind/math_dataset |
b'Let c(w) be the first derivative of -119*w**2/2 + 107*w - 59. Let s(g) = 60*g - 53. Let v(a) = 2*c(a) + 5*s(a). What is the first derivative of v(o) wrt o?\n' | b'62\n' | b'Let c(w) be the first derivative of -119*w**2/2 + 107*w - 59. Let s(g) = 60*g - 53. Let v(a) = 2*c(a) + 5*s(a). What is the first derivative of v(o) wrt o?\n' | b'62\n' | deepmind/math_dataset |
b'Suppose 0 = -2*a - h + 10, -9*h + 20 = -4*h. Find the third derivative of 8*i**3 - 97*i**2 - 20*i**4 + 9*i**4 + 5*i**4 - 26*i**2 - 15*i**a wrt i.\n' | b'-144*i - 42\n' | b'Suppose 0 = -2*a - h + 10, -9*h + 20 = -4*h. Find the third derivative of 8*i**3 - 97*i**2 - 20*i**4 + 9*i**4 + 5*i**4 - 26*i**2 - 15*i**a wrt i.\n' | b'-144*i - 42\n' | deepmind/math_dataset |
b'Simplify (m**(1/5)*m/m**(-4/5)*m)/((m/(m/(m*m**(-1)*m))*m*m)/m**(-3))*(m**(-1)/m*m)**(-33)*(m**(2/3))**33 assuming m is positive.\n' | b'm**52\n' | b'Simplify (m**(1/5)*m/m**(-4/5)*m)/((m/(m/(m*m**(-1)*m))*m*m)/m**(-3))*(m**(-1)/m*m)**(-33)*(m**(2/3))**33 assuming m is positive.\n' | b'm**52\n' | deepmind/math_dataset |
b'Calculate prob of sequence vt when two letters picked without replacement from {t: 1, v: 1, i: 2}.\n' | b'1/12\n' | b'Calculate prob of sequence vt when two letters picked without replacement from {t: 1, v: 1, i: 2}.\n' | b'1/12\n' | deepmind/math_dataset |
b'Simplify (h**(-1/5))**(2/5) assuming h is positive.\n' | b'h**(-2/25)\n' | b'Simplify (h**(-1/5))**(2/5) assuming h is positive.\n' | b'h**(-2/25)\n' | deepmind/math_dataset |
b'Let v(o) = -62*o**4 + 7*o**3 + 26*o**2 + 2955. Let k(a) = 41*a**4 - 5*a**3 - 17*a**2 - 1969. Let i(b) = -7*k(b) - 5*v(b). Differentiate i(j) with respect to j.\n' | b'92*j**3 - 22*j\n' | b'Let v(o) = -62*o**4 + 7*o**3 + 26*o**2 + 2955. Let k(a) = 41*a**4 - 5*a**3 - 17*a**2 - 1969. Let i(b) = -7*k(b) - 5*v(b). Differentiate i(j) with respect to j.\n' | b'92*j**3 - 22*j\n' | deepmind/math_dataset |
b'Let n be ((-12)/(-8))/((-3)/(-140)). Let t be n/9 + 6/27. Solve -5*i + 15 = -5*y, y + 1 - t = -4*i for i.\n' | b'2\n' | b'Let n be ((-12)/(-8))/((-3)/(-140)). Let t be n/9 + 6/27. Solve -5*i + 15 = -5*y, y + 1 - t = -4*i for i.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 17 + 4 = 3*t. Let f(w) = -3*w**3 - w**2 + 6. Let m(x) = 3*x**3 + x**2 - 7. Let j(p) = t*f(p) + 6*m(p). Find the third derivative of j(v) wrt v.\n' | b'-18\n' | b'Suppose 17 + 4 = 3*t. Let f(w) = -3*w**3 - w**2 + 6. Let m(x) = 3*x**3 + x**2 - 7. Let j(p) = t*f(p) + 6*m(p). Find the third derivative of j(v) wrt v.\n' | b'-18\n' | deepmind/math_dataset |
b'Suppose -5*x = -25 - 0. Suppose 2 = -x*g + 12. Let p(l) = l**2 - 21 - 7*l + 24 + l**3 + 2*l + g*l**2. Determine p(-4).\n' | b'7\n' | b'Suppose -5*x = -25 - 0. Suppose 2 = -x*g + 12. Let p(l) = l**2 - 21 - 7*l + 24 + l**3 + 2*l + g*l**2. Determine p(-4).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (((((n*(n/((n/((n*n**(4/3)*n)/n))/n)*n)/n*n*n)/n)/n*n)/(n*n/n**(-12)*n*n*n*n*n))/(n**(-1/33)/n**(-40)))**28 assuming n is positive.\n' | b'n**(-16520/11)\n' | b'Simplify (((((n*(n/((n/((n*n**(4/3)*n)/n))/n)*n)/n*n*n)/n)/n*n)/(n*n/n**(-12)*n*n*n*n*n))/(n**(-1/33)/n**(-40)))**28 assuming n is positive.\n' | b'n**(-16520/11)\n' | deepmind/math_dataset |
b'Simplify ((t/(t*t**(-14/5)))/((t*t*t**8)/t))**(3/4) assuming t is positive.\n' | b't**(-93/20)\n' | b'Simplify ((t/(t*t**(-14/5)))/((t*t*t**8)/t))**(3/4) assuming t is positive.\n' | b't**(-93/20)\n' | deepmind/math_dataset |
b'Simplify s**(2/11)*s**(-15/8)*s**20*s**(4/9) assuming s is positive.\n' | b's**(14851/792)\n' | b'Simplify s**(2/11)*s**(-15/8)*s**20*s**(4/9) assuming s is positive.\n' | b's**(14851/792)\n' | deepmind/math_dataset |
b'Suppose -4*r + 57 = 5*f, -f + 5*r = -3*f + 33. Suppose -3*h = 4*y - 57 - f, -y = 3*h - 21. Solve 7*i = 3*i - 2*p - 6, 0 = 5*i + p + y for i.\n' | b'-4\n' | b'Suppose -4*r + 57 = 5*f, -f + 5*r = -3*f + 33. Suppose -3*h = 4*y - 57 - f, -y = 3*h - 21. Solve 7*i = 3*i - 2*p - 6, 0 = 5*i + p + y for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bpnn. What is prob of sequence pb?\n' | b'1/12\n' | b'Two letters picked without replacement from bpnn. What is prob of sequence pb?\n' | b'1/12\n' | deepmind/math_dataset |
b'Let k(g) be the first derivative of -g**4/2 - 4*g**3/3 + 7*g + 2. Find the first derivative of k(o) wrt o.\n' | b'-6*o**2 - 8*o\n' | b'Let k(g) be the first derivative of -g**4/2 - 4*g**3/3 + 7*g + 2. Find the first derivative of k(o) wrt o.\n' | b'-6*o**2 - 8*o\n' | deepmind/math_dataset |
b'Suppose 5*j - 15 = -5*h, 5*h + 3*j - 4 = 5. Suppose -5*r = -4*x + 11, -4*x + h*x + 12 = -4*r. Let g = 2 - r. Solve -5*b = 3*o + 12, b + o + 1 = -g for b.\n' | b'-3\n' | b'Suppose 5*j - 15 = -5*h, 5*h + 3*j - 4 = 5. Suppose -5*r = -4*x + 11, -4*x + h*x + 12 = -4*r. Let g = 2 - r. Solve -5*b = 3*o + 12, b + o + 1 = -g for b.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ooommooboomooooooobo. Give prob of sequence omob.\n' | b'7/646\n' | b'Four letters picked without replacement from ooommooboomooooooobo. Give prob of sequence omob.\n' | b'7/646\n' | deepmind/math_dataset |
b'Suppose 186*d - 189*d + 78 = -5*n, -3*d - 3*n = -54. Solve i + 2*s = -2, -3*i + 0*s + d = -3*s for i.\n' | b'4\n' | b'Suppose 186*d - 189*d + 78 = -5*n, -3*d - 3*n = -54. Solve i + 2*s = -2, -3*i + 0*s + d = -3*s for i.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence ttt when three letters picked without replacement from hthhtshshsthtasss.\n' | b'1/170\n' | b'Calculate prob of sequence ttt when three letters picked without replacement from hthhtshshsthtasss.\n' | b'1/170\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i and 1 g when two letters picked without replacement from klglggigii.\n' | b'4/15\n' | b'Calculate prob of picking 1 i and 1 g when two letters picked without replacement from klglggigii.\n' | b'4/15\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zczclzczvlc. Give prob of sequence lv.\n' | b'1/55\n' | b'Two letters picked without replacement from zczclzczvlc. Give prob of sequence lv.\n' | b'1/55\n' | deepmind/math_dataset |
b'Simplify (((l*l**2)/l)/(l**5*l))**(2/85)/(((l/(l*l**1))/l)/(l*l*l**(-4/5)*l))**(-30) assuming l is positive.\n' | b'l**(-10718/85)\n' | b'Simplify (((l*l**2)/l)/(l**5*l))**(2/85)/(((l/(l*l**1))/l)/(l*l*l**(-4/5)*l))**(-30) assuming l is positive.\n' | b'l**(-10718/85)\n' | deepmind/math_dataset |
b'Let z(i) = i**2 + 5*i - 5. Let y(l) = -l**2 - 5*l - 2. Suppose 0 = 2*s + 8, 7*s - 3*s = 2*b - 10. Let t be y(b). Let h be 0 - (t - (-3 + 3)). What is z(h)?\n' | b'-9\n' | b'Let z(i) = i**2 + 5*i - 5. Let y(l) = -l**2 - 5*l - 2. Suppose 0 = 2*s + 8, 7*s - 3*s = 2*b - 10. Let t be y(b). Let h be 0 - (t - (-3 + 3)). What is z(h)?\n' | b'-9\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cxccixssziivccx. Give prob of picking 2 x.\n' | b'1/35\n' | b'Two letters picked without replacement from cxccixssziivccx. Give prob of picking 2 x.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let d(g) = -5*g**3 - 8*g**2 - 28*g + 1. Let x(s) = 3*s**3 + 6*s**2 + 21*s - 1. Let r(l) = 3*d(l) + 4*x(l). Let m = 1 + 0. Determine r(m).\n' | b'-4\n' | b'Let d(g) = -5*g**3 - 8*g**2 - 28*g + 1. Let x(s) = 3*s**3 + 6*s**2 + 21*s - 1. Let r(l) = 3*d(l) + 4*x(l). Let m = 1 + 0. Determine r(m).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 4, q: 1, o: 1, i: 2}. Give prob of picking 2 l.\n' | b'3/14\n' | b'Two letters picked without replacement from {l: 4, q: 1, o: 1, i: 2}. Give prob of picking 2 l.\n' | b'3/14\n' | deepmind/math_dataset |
b'Let p be (-279)/(-124) + (-12)/(-64)*4. Solve -5*y - 24 = p*j, 5*y + 11 + 7 = -j for j.\n' | b'-3\n' | b'Let p be (-279)/(-124) + (-12)/(-64)*4. Solve -5*y - 24 = p*j, 5*y + 11 + 7 = -j for j.\n' | b'-3\n' | deepmind/math_dataset |
b'Let u(o) = 138*o - 5. Let n(g) = -549 + 276*g + 1095 - 550. Let b(t) = 4*n(t) - 9*u(t). What is the first derivative of b(p) wrt p?\n' | b'-138\n' | b'Let u(o) = 138*o - 5. Let n(g) = -549 + 276*g + 1095 - 550. Let b(t) = 4*n(t) - 9*u(t). What is the first derivative of b(p) wrt p?\n' | b'-138\n' | deepmind/math_dataset |
b'Let l(v) = -2182*v**2 + 10*v - 634. Let c(a) = -1090*a**2 + 4*a - 318. Let o(j) = 5*c(j) - 2*l(j). Find the first derivative of o(t) wrt t.\n' | b'-2172*t\n' | b'Let l(v) = -2182*v**2 + 10*v - 634. Let c(a) = -1090*a**2 + 4*a - 318. Let o(j) = 5*c(j) - 2*l(j). Find the first derivative of o(t) wrt t.\n' | b'-2172*t\n' | deepmind/math_dataset |
b'Let o(d) = -d**2 + 3. Let p(f) = 3*f**2 + f - 8. Let u(c) = -8*o(c) - 3*p(c). What is the second derivative of u(h) wrt h?\n' | b'-2\n' | b'Let o(d) = -d**2 + 3. Let p(f) = 3*f**2 + f - 8. Let u(c) = -8*o(c) - 3*p(c). What is the second derivative of u(h) wrt h?\n' | b'-2\n' | deepmind/math_dataset |
b'Find the third derivative of 1511*s**5 - 6*s**2 - 1455*s**5 + 0*s + s wrt s.\n' | b'3360*s**2\n' | b'Find the third derivative of 1511*s**5 - 6*s**2 - 1455*s**5 + 0*s + s wrt s.\n' | b'3360*s**2\n' | deepmind/math_dataset |
b'Let t(b) be the third derivative of -141*b**6/20 + 139*b**3/6 - b**2 + 66*b. What is the first derivative of t(u) wrt u?\n' | b'-2538*u**2\n' | b'Let t(b) be the third derivative of -141*b**6/20 + 139*b**3/6 - b**2 + 66*b. What is the first derivative of t(u) wrt u?\n' | b'-2538*u**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from fffjjjj. What is prob of picking 4 j?\n' | b'1/35\n' | b'Four letters picked without replacement from fffjjjj. What is prob of picking 4 j?\n' | b'1/35\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ygyggy. What is prob of picking 2 g and 1 y?\n' | b'9/20\n' | b'Three letters picked without replacement from ygyggy. What is prob of picking 2 g and 1 y?\n' | b'9/20\n' | deepmind/math_dataset |
b'Simplify (((v/((v*((v/v**1)/v)/v*v)/v)*v)/v)/((v*v**5)/v*v))**(-7/10) assuming v is positive.\n' | b'v**(14/5)\n' | b'Simplify (((v/((v*((v/v**1)/v)/v*v)/v)*v)/v)/((v*v**5)/v*v))**(-7/10) assuming v is positive.\n' | b'v**(14/5)\n' | deepmind/math_dataset |
b'Simplify ((g/(g/(g/(g*g*g/g**(-9))))*g)/g)/g**(2/71) assuming g is positive.\n' | b'g**(-783/71)\n' | b'Simplify ((g/(g/(g/(g*g*g/g**(-9))))*g)/g)/g**(2/71) assuming g is positive.\n' | b'g**(-783/71)\n' | deepmind/math_dataset |
b'Calculate prob of sequence rb when two letters picked without replacement from {b: 3, g: 1, r: 1, q: 5}.\n' | b'1/30\n' | b'Calculate prob of sequence rb when two letters picked without replacement from {b: 3, g: 1, r: 1, q: 5}.\n' | b'1/30\n' | deepmind/math_dataset |
b'Let w(f) = -f**3 + 12*f**2 + f + 14. Let d be w(12). What is the second derivative of -d - 19 + 98*t**2 + 21 + 2*t wrt t?\n' | b'196\n' | b'Let w(f) = -f**3 + 12*f**2 + f + 14. Let d be w(12). What is the second derivative of -d - 19 + 98*t**2 + 21 + 2*t wrt t?\n' | b'196\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s and 2 j when three letters picked without replacement from jjsj.\n' | b'3/4\n' | b'Calculate prob of picking 1 s and 2 j when three letters picked without replacement from jjsj.\n' | b'3/4\n' | deepmind/math_dataset |
b'Suppose 8*l = 3*l + 2*w, -25 = -5*w. Let i(d) = -d**3 + 45*d**2 - 116*d - 418. Let u be i(42). Solve -r - l*r = 5*o - 19, 5*o + u*r = 21 for o.\n' | b'5\n' | b'Suppose 8*l = 3*l + 2*w, -25 = -5*w. Let i(d) = -d**3 + 45*d**2 - 116*d - 418. Let u be i(42). Solve -r - l*r = 5*o - 19, 5*o + u*r = 21 for o.\n' | b'5\n' | deepmind/math_dataset |
b'Let f be (1/1)/(1/2). Suppose 0 = -c + 13 + f. Suppose 0 = -3*y - 2*m - 1 + 7, -5*m + c = -5*y. Let s(u) = -u + 5. Give s(y).\n' | b'5\n' | b'Let f be (1/1)/(1/2). Suppose 0 = -c + 13 + f. Suppose 0 = -3*y - 2*m - 1 + 7, -5*m + c = -5*y. Let s(u) = -u + 5. Give s(y).\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence vyw when three letters picked without replacement from {t: 1, w: 1, m: 1, v: 1, y: 2, x: 1}.\n' | b'1/105\n' | b'Calculate prob of sequence vyw when three letters picked without replacement from {t: 1, w: 1, m: 1, v: 1, y: 2, x: 1}.\n' | b'1/105\n' | deepmind/math_dataset |
b'Let g(u) = u**2 + 3*u - 6. Let z(n) = n - 6. Let w(b) = 1. Let l(d) = -6*w(d) - z(d). Let h(t) = -g(t) + 3*l(t). Determine h(-6).\n' | b'6\n' | b'Let g(u) = u**2 + 3*u - 6. Let z(n) = n - 6. Let w(b) = 1. Let l(d) = -6*w(d) - z(d). Let h(t) = -g(t) + 3*l(t). Determine h(-6).\n' | b'6\n' | deepmind/math_dataset |
b'Let h(s) be the second derivative of 241*s**7/42 + 4*s**4/3 + 13*s**3/6 + s + 321. What is the third derivative of h(n) wrt n?\n' | b'14460*n**2\n' | b'Let h(s) be the second derivative of 241*s**7/42 + 4*s**4/3 + 13*s**3/6 + s + 321. What is the third derivative of h(n) wrt n?\n' | b'14460*n**2\n' | deepmind/math_dataset |
b'Let x(g) = -g + 26. Let w be x(0). Suppose 3*s + 11 = -2*i, -3*i + 2*s = -2*s - w. What is the third derivative of -o**2 - 2*o**4 - o**i + 4*o**4 wrt o?\n' | b'48*o\n' | b'Let x(g) = -g + 26. Let w be x(0). Suppose 3*s + 11 = -2*i, -3*i + 2*s = -2*s - w. What is the third derivative of -o**2 - 2*o**4 - o**i + 4*o**4 wrt o?\n' | b'48*o\n' | deepmind/math_dataset |
b'Let f(j) be the third derivative of -j**6/120 + j**5/15 - j**4/24 + j**3/2 + 5*j**2. Suppose 37 = 3*s - 5*d, 4*s + 8 = 5*d + 49. What is f(s)?\n' | b'-1\n' | b'Let f(j) be the third derivative of -j**6/120 + j**5/15 - j**4/24 + j**3/2 + 5*j**2. Suppose 37 = 3*s - 5*d, 4*s + 8 = 5*d + 49. What is f(s)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let d = 1279 - 1278. Solve d = -j - 2*r, 5*r - 17 = j - 9 for j.\n' | b'-3\n' | b'Let d = 1279 - 1278. Solve d = -j - 2*r, 5*r - 17 = j - 9 for j.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 1, z: 1, f: 1, t: 4, b: 5}. Give prob of picking 2 t.\n' | b'1/11\n' | b'Two letters picked without replacement from {g: 1, z: 1, f: 1, t: 4, b: 5}. Give prob of picking 2 t.\n' | b'1/11\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 10, w: 3, e: 1, u: 1}. What is prob of sequence errr?\n' | b'2/91\n' | b'Four letters picked without replacement from {r: 10, w: 3, e: 1, u: 1}. What is prob of sequence errr?\n' | b'2/91\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o, 2 g, and 1 f when four letters picked without replacement from fofhosssgffogofo.\n' | b'5/364\n' | b'Calculate prob of picking 1 o, 2 g, and 1 f when four letters picked without replacement from fofhosssgffogofo.\n' | b'5/364\n' | deepmind/math_dataset |
b'Let a = -1 + 4. Suppose g - 5*m + 12 = 2*g, -g - 8 = -5*m. What is the first derivative of 4*i**g - 4*i**2 + 2*i**a + 2 wrt i?\n' | b'6*i**2\n' | b'Let a = -1 + 4. Suppose g - 5*m + 12 = 2*g, -g - 8 = -5*m. What is the first derivative of 4*i**g - 4*i**2 + 2*i**a + 2 wrt i?\n' | b'6*i**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence jj when two letters picked without replacement from {i: 1, j: 5, d: 4, q: 1, s: 3}.\n' | b'10/91\n' | b'Calculate prob of sequence jj when two letters picked without replacement from {i: 1, j: 5, d: 4, q: 1, s: 3}.\n' | b'10/91\n' | deepmind/math_dataset |
b'Simplify (((h**35*h)/h)/(h*(h*h**(-15))/h*h))/(h*h*h/h**(-2/15))**(5/6) assuming h is positive.\n' | b'h**(817/18)\n' | b'Simplify (((h**35*h)/h)/(h*(h*h**(-15))/h*h))/(h*h*h/h**(-2/15))**(5/6) assuming h is positive.\n' | b'h**(817/18)\n' | deepmind/math_dataset |
b'What is prob of picking 2 v and 1 i when three letters picked without replacement from vvnvivooiio?\n' | b'6/55\n' | b'What is prob of picking 2 v and 1 i when three letters picked without replacement from vvnvivooiio?\n' | b'6/55\n' | deepmind/math_dataset |
b'Let i = 8 + -3. Solve 29 = 4*z + i*m, 4*m = -10*z + 5*z + 25 for z.\n' | b'1\n' | b'Let i = 8 + -3. Solve 29 = 4*z + i*m, 4*m = -10*z + 5*z + 25 for z.\n' | b'1\n' | deepmind/math_dataset |
b'Let l be 98 - (-4 - (-3 + 1)). Suppose -l = t - 6*t. Solve 5*m = t, 3*v = -m - 2*m for v.\n' | b'-4\n' | b'Let l be 98 - (-4 - (-3 + 1)). Suppose -l = t - 6*t. Solve 5*m = t, 3*v = -m - 2*m for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((r/r**(2/5)*r*r*r**(-1))/(r/(r/((r/(r**5*r))/r*r*r))*r*r/(r/((r/r**(3/5)*r)/r*r*r*r))))**(1/3) assuming r is positive.\n' | b'r**(2/5)\n' | b'Simplify ((r/r**(2/5)*r*r*r**(-1))/(r/(r/((r/(r**5*r))/r*r*r))*r*r/(r/((r/r**(3/5)*r)/r*r*r*r))))**(1/3) assuming r is positive.\n' | b'r**(2/5)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qqqqrrqqqrrrrrrr. What is prob of sequence rq?\n' | b'21/80\n' | b'Two letters picked without replacement from qqqqrrqqqrrrrrrr. What is prob of sequence rq?\n' | b'21/80\n' | deepmind/math_dataset |
b'What is the third derivative of 168*b - 168*b + 29*b**3 + 277*b**2 wrt b?\n' | b'174\n' | b'What is the third derivative of 168*b - 168*b + 29*b**3 + 277*b**2 wrt b?\n' | b'174\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 s when two letters picked without replacement from {m: 3, o: 2, b: 2, s: 9, d: 3}.\n' | b'4/19\n' | b'Calculate prob of picking 2 s when two letters picked without replacement from {m: 3, o: 2, b: 2, s: 9, d: 3}.\n' | b'4/19\n' | deepmind/math_dataset |
b'Suppose 4*d - d - 6 = 0. Let t be 1/(-3) - (-1)/3. Let s(i) = -i**3 - 2*i**2 + 28*i - 13. Let j be s(4). Solve 2*w + 9 + j = -d*k, t = 2*w - k for w.\n' | b'-2\n' | b'Suppose 4*d - d - 6 = 0. Let t be 1/(-3) - (-1)/3. Let s(i) = -i**3 - 2*i**2 + 28*i - 13. Let j be s(4). Solve 2*w + 9 + j = -d*k, t = 2*w - k for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Let s(o) = o**2 - 16*o + 24. Let c = 147 - 136. Suppose 2*a - c = -3*w + 28, -2*w + 66 = 4*a. Let v be s(a). Solve -l = 2*r - 4, r = 3*l - 0*r + v for l.\n' | b'-2\n' | b'Let s(o) = o**2 - 16*o + 24. Let c = 147 - 136. Suppose 2*a - c = -3*w + 28, -2*w + 66 = 4*a. Let v be s(a). Solve -l = 2*r - 4, r = 3*l - 0*r + v for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((g**(-7)*g*g/(g/((g**(-1)*g*g)/g*g))*g)/(g*g/g**(-1/2)*g)**(13/4))/(g**(1/6)/(g/((g**(-6)*g*g)/g)))**(-45) assuming g is positive.\n' | b'g**(-2223/8)\n' | b'Simplify ((g**(-7)*g*g/(g/((g**(-1)*g*g)/g*g))*g)/(g*g/g**(-1/2)*g)**(13/4))/(g**(1/6)/(g/((g**(-6)*g*g)/g)))**(-45) assuming g is positive.\n' | b'g**(-2223/8)\n' | deepmind/math_dataset |
b'Let f(o) be the second derivative of o**8/28 + 13*o**6/15 + 8*o**4/3 - 16*o**2 + 7689*o. Find the third derivative of f(l) wrt l.\n' | b'240*l**3 + 624*l\n' | b'Let f(o) be the second derivative of o**8/28 + 13*o**6/15 + 8*o**4/3 - 16*o**2 + 7689*o. Find the third derivative of f(l) wrt l.\n' | b'240*l**3 + 624*l\n' | deepmind/math_dataset |
b'Calculate prob of sequence rjbj when four letters picked without replacement from {o: 2, j: 13, r: 2, b: 3}.\n' | b'13/1615\n' | b'Calculate prob of sequence rjbj when four letters picked without replacement from {o: 2, j: 13, r: 2, b: 3}.\n' | b'13/1615\n' | deepmind/math_dataset |
b'Suppose 0 = -5*s - 18 + 48. Let b(k) = -2 - 1 - 1 - 9*k + s. Let p = -142 + 144. Calculate b(p).\n' | b'-16\n' | b'Suppose 0 = -5*s - 18 + 48. Let b(k) = -2 - 1 - 1 - 9*k + s. Let p = -142 + 144. Calculate b(p).\n' | b'-16\n' | deepmind/math_dataset |
b'Three letters picked without replacement from larlaavaalyyy. What is prob of sequence yly?\n' | b'3/286\n' | b'Three letters picked without replacement from larlaavaalyyy. What is prob of sequence yly?\n' | b'3/286\n' | deepmind/math_dataset |
b'Let i(m) = -2*m**2 - 13*m - 2. Let z be i(-6). Solve -x = 2*t + 4*x + 7, -2*t + z*x = -2 for t.\n' | b'-1\n' | b'Let i(m) = -2*m**2 - 13*m - 2. Let z be i(-6). Solve -x = 2*t + 4*x + 7, -2*t + z*x = -2 for t.\n' | b'-1\n' | deepmind/math_dataset |
b'Let l(u) = u**3 - 7*u**2 - 4*u - 16. Let k be l(8). Let r(d) = -5 + k - 10 - d**3. Let g(w) = 11*w**3 + 3. Let o(j) = -g(j) - 6*r(j). Differentiate o(x) wrt x.\n' | b'-15*x**2\n' | b'Let l(u) = u**3 - 7*u**2 - 4*u - 16. Let k be l(8). Let r(d) = -5 + k - 10 - d**3. Let g(w) = 11*w**3 + 3. Let o(j) = -g(j) - 6*r(j). Differentiate o(x) wrt x.\n' | b'-15*x**2\n' | deepmind/math_dataset |
b'Let n(u) = -1277*u**3 - 2162*u**2 - 6*u. Let t(m) = -39*m**3 - m. Let w(p) = -n(p) + 6*t(p). What is the third derivative of w(s) wrt s?\n' | b'6258\n' | b'Let n(u) = -1277*u**3 - 2162*u**2 - 6*u. Let t(m) = -39*m**3 - m. Let w(p) = -n(p) + 6*t(p). What is the third derivative of w(s) wrt s?\n' | b'6258\n' | deepmind/math_dataset |
b'What is prob of picking 2 r and 1 i when three letters picked without replacement from {i: 3, r: 3}?\n' | b'9/20\n' | b'What is prob of picking 2 r and 1 i when three letters picked without replacement from {i: 3, r: 3}?\n' | b'9/20\n' | deepmind/math_dataset |
b'Simplify (o*o**(-8/7))/o*o*o*o**(-7/4) assuming o is positive.\n' | b'o**(-25/28)\n' | b'Simplify (o*o**(-8/7))/o*o*o*o**(-7/4) assuming o is positive.\n' | b'o**(-25/28)\n' | deepmind/math_dataset |
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