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 (w/(((w/w**(2/3)*w)/w)/w))/((w/(w/(w*w*w*w*w/(w*(w**12*w)/w)*w*w)*w))/w) assuming w is positive.\n' | b'w**(29/3)\n' | b'Simplify (w/(((w/w**(2/3)*w)/w)/w))/((w/(w/(w*w*w*w*w/(w*(w**12*w)/w)*w*w)*w))/w) assuming w is positive.\n' | b'w**(29/3)\n' | deepmind/math_dataset |
b'Let m(f) = 1110*f + 1171. Let j(o) = -2217*o - 2339. Let a(y) = 2*j(y) + 5*m(y). Find the first derivative of a(u) wrt u.\n' | b'1116\n' | b'Let m(f) = 1110*f + 1171. Let j(o) = -2217*o - 2339. Let a(y) = 2*j(y) + 5*m(y). Find the first derivative of a(u) wrt u.\n' | b'1116\n' | deepmind/math_dataset |
b'Calculate prob of sequence it when two letters picked without replacement from {t: 1, i: 2, d: 1, g: 1}.\n' | b'1/10\n' | b'Calculate prob of sequence it when two letters picked without replacement from {t: 1, i: 2, d: 1, g: 1}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i and 1 d when two letters picked without replacement from idrrddeerdo.\n' | b'4/55\n' | b'Calculate prob of picking 1 i and 1 d when two letters picked without replacement from idrrddeerdo.\n' | b'4/55\n' | deepmind/math_dataset |
b'Three letters picked without replacement from sssgg. What is prob of sequence ssg?\n' | b'1/5\n' | b'Three letters picked without replacement from sssgg. What is prob of sequence ssg?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let u(r) be the third derivative of 0 + 0*r**3 - 9*r**2 + 0*r**4 + 0*r + 3/40*r**6 + 13/60*r**5. What is the third derivative of u(z) wrt z?\n' | b'54\n' | b'Let u(r) be the third derivative of 0 + 0*r**3 - 9*r**2 + 0*r**4 + 0*r + 3/40*r**6 + 13/60*r**5. What is the third derivative of u(z) wrt z?\n' | b'54\n' | deepmind/math_dataset |
b'Suppose -4*k = -4*r - 32, 5*r - 4*k + 41 = 6. Let u(b) = 2*b + 1. What is u(r)?\n' | b'-5\n' | b'Suppose -4*k = -4*r - 32, 5*r - 4*k + 41 = 6. Let u(b) = 2*b + 1. What is u(r)?\n' | b'-5\n' | deepmind/math_dataset |
b'Find the third derivative of 11*l**5 - 21*l**2 - 538 + 538 wrt l.\n' | b'660*l**2\n' | b'Find the third derivative of 11*l**5 - 21*l**2 - 538 + 538 wrt l.\n' | b'660*l**2\n' | deepmind/math_dataset |
b'Let s(t) = -45*t**4 - 7*t**2 - 7*t + 149. Let j(z) = 45*z**4 + 6*z**2 + 6*z - 149. Let l(n) = 7*j(n) + 6*s(n). Differentiate l(k) with respect to k.\n' | b'180*k**3\n' | b'Let s(t) = -45*t**4 - 7*t**2 - 7*t + 149. Let j(z) = 45*z**4 + 6*z**2 + 6*z - 149. Let l(n) = 7*j(n) + 6*s(n). Differentiate l(k) with respect to k.\n' | b'180*k**3\n' | deepmind/math_dataset |
b'Simplify (d**6)**(1/16)*d*d/((d*d/(d*d**(3/11)))/d)*d**17 assuming d is positive.\n' | b'd**(1729/88)\n' | b'Simplify (d**6)**(1/16)*d*d/((d*d/(d*d**(3/11)))/d)*d**17 assuming d is positive.\n' | b'd**(1729/88)\n' | deepmind/math_dataset |
b'Let j be -3 + 5/(3 - 2). Let z = -1 + 5. Solve -j*m + z*m + 20 = 2*d, -3*d + m = -20 for d.\n' | b'5\n' | b'Let j be -3 + 5/(3 - 2). Let z = -1 + 5. Solve -j*m + z*m + 20 = 2*d, -3*d + m = -20 for d.\n' | b'5\n' | deepmind/math_dataset |
b'Let x = 16 + -9. Let j = x + -3. Solve 0 = 3*m - 0*g - 4*g - 32, -5*m + 40 = -j*g for m.\n' | b'4\n' | b'Let x = 16 + -9. Let j = x + -3. Solve 0 = 3*m - 0*g - 4*g - 32, -5*m + 40 = -j*g for m.\n' | b'4\n' | deepmind/math_dataset |
b'What is the third derivative of 33*t**4 + 1224928*t + 619*t**2 - 1224928*t - 5*t**4 wrt t?\n' | b'672*t\n' | b'What is the third derivative of 33*t**4 + 1224928*t + 619*t**2 - 1224928*t - 5*t**4 wrt t?\n' | b'672*t\n' | deepmind/math_dataset |
b'Let g(q) = -q**3 + 12*q**2 + 13*q + 1. Let w be g(13). Let p(i) be the first derivative of 0*i - 2/3*i**3 - i**2 - w. Find the second derivative of p(b) wrt b.\n' | b'-4\n' | b'Let g(q) = -q**3 + 12*q**2 + 13*q + 1. Let w be g(13). Let p(i) be the first derivative of 0*i - 2/3*i**3 - i**2 - w. Find the second derivative of p(b) wrt b.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (n/((n*(n/(n*n/((n*n*n*n*n**(3/2)/n*n*n)/n)*n))/n)/n)*n*n**8)**(-1/6)/((n*n**(1/9))/n*n**(-2)*n**2*n*n*n*n*n*n**(-3/7)*n) assuming n is positive.\n' | b'n**(-1747/252)\n' | b'Simplify (n/((n*(n/(n*n/((n*n*n*n*n**(3/2)/n*n*n)/n)*n))/n)/n)*n*n**8)**(-1/6)/((n*n**(1/9))/n*n**(-2)*n**2*n*n*n*n*n*n**(-3/7)*n) assuming n is positive.\n' | b'n**(-1747/252)\n' | deepmind/math_dataset |
b'Let r be (-84)/(-10) - (-4)/(-10). Let p be ((-6)/r)/(1/20). Let m = 17 + p. Solve m*f + 0 - 10 = -2*z, -z + 5*f = 25 for z.\n' | b'0\n' | b'Let r be (-84)/(-10) - (-4)/(-10). Let p be ((-6)/r)/(1/20). Let m = 17 + p. Solve m*f + 0 - 10 = -2*z, -z + 5*f = 25 for z.\n' | b'0\n' | deepmind/math_dataset |
b'Let j = 91 + -89. Solve 29 = 3*k - 4*x, -j*k - 3*x = 3*k for k.\n' | b'3\n' | b'Let j = 91 + -89. Solve 29 = 3*k - 4*x, -j*k - 3*x = 3*k for k.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 3, e: 4}. Give prob of picking 3 o.\n' | b'1/35\n' | b'Three letters picked without replacement from {o: 3, e: 4}. Give prob of picking 3 o.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let l(x) = x**2 + 9*x - 8. Let s be l(-10). Let k be (-1 + (1 - 0))/s. Let t be (-2)/(-4)*2*k. Solve 10 = -2*r, 3*y + r - 3*r - 25 = t for y.\n' | b'5\n' | b'Let l(x) = x**2 + 9*x - 8. Let s be l(-10). Let k be (-1 + (1 - 0))/s. Let t be (-2)/(-4)*2*k. Solve 10 = -2*r, 3*y + r - 3*r - 25 = t for y.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (((s**(-3/2)/(s/(s/(s**(-8/5)*s))))**11)**1)**(-40) assuming s is positive.\n' | b's**396\n' | b'Simplify (((s**(-3/2)/(s/(s/(s**(-8/5)*s))))**11)**1)**(-40) assuming s is positive.\n' | b's**396\n' | deepmind/math_dataset |
b'What is prob of sequence vmp when three letters picked without replacement from {m: 5, v: 3, p: 1}?\n' | b'5/168\n' | b'What is prob of sequence vmp when three letters picked without replacement from {m: 5, v: 3, p: 1}?\n' | b'5/168\n' | deepmind/math_dataset |
b'Suppose 3*y - 15 = 3. Let g(f) = f + y - 2*f - 1 + 0*f. Determine g(-5).\n' | b'10\n' | b'Suppose 3*y - 15 = 3. Let g(f) = f + y - 2*f - 1 + 0*f. Determine g(-5).\n' | b'10\n' | deepmind/math_dataset |
b'What is prob of picking 2 h when two letters picked without replacement from tdthhddhhhtt?\n' | b'5/33\n' | b'What is prob of picking 2 h when two letters picked without replacement from tdthhddhhhtt?\n' | b'5/33\n' | deepmind/math_dataset |
b'Let k(p) = -17*p. Let f(m) be the third derivative of m**4/8 - 35*m**3/6 + 5*m**2. Let a be f(12). What is k(a)?\n' | b'-17\n' | b'Let k(p) = -17*p. Let f(m) be the third derivative of m**4/8 - 35*m**3/6 + 5*m**2. Let a be f(12). What is k(a)?\n' | b'-17\n' | deepmind/math_dataset |
b'Let z(s) = -2 - 7 + 1326*s**2 - 4*s - 10*s - 1327*s**2. Determine z(-11).\n' | b'24\n' | b'Let z(s) = -2 - 7 + 1326*s**2 - 4*s - 10*s - 1327*s**2. Determine z(-11).\n' | b'24\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nrtcrtkvvvcvv. Give prob of sequence tn.\n' | b'1/78\n' | b'Two letters picked without replacement from nrtcrtkvvvcvv. Give prob of sequence tn.\n' | b'1/78\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 2, l: 1, k: 1, d: 6, x: 2, f: 3}. What is prob of sequence nn?\n' | b'1/105\n' | b'Two letters picked without replacement from {n: 2, l: 1, k: 1, d: 6, x: 2, f: 3}. What is prob of sequence nn?\n' | b'1/105\n' | deepmind/math_dataset |
b'Let i be -2 + -6 + 14/7. Let q be (-3 + -1)/12 - 14/i. Solve r - 9 = -c + q*r, c = -r + 1 for c.\n' | b'5\n' | b'Let i be -2 + -6 + 14/7. Let q be (-3 + -1)/12 - 14/i. Solve r - 9 = -c + q*r, c = -r + 1 for c.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rrjrrrejerrrjeejrrr. What is prob of picking 2 j?\n' | b'2/57\n' | b'Two letters picked without replacement from rrjrrrejerrrjeejrrr. What is prob of picking 2 j?\n' | b'2/57\n' | deepmind/math_dataset |
b'Let i(w) = w**3 - 15*w**2 + 13*w. Let f be i(14). Let v be 4/f - (-474)/42. Solve -2*r = 4*k - 12, -5 - v = -4*k - 4*r for k.\n' | b'2\n' | b'Let i(w) = w**3 - 15*w**2 + 13*w. Let f be i(14). Let v be 4/f - (-474)/42. Solve -2*r = 4*k - 12, -5 - v = -4*k - 4*r for k.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 2, e: 1, f: 1, y: 1, q: 2, d: 2}. Give prob of picking 1 u, 1 e, 1 f, and 1 y.\n' | b'1/63\n' | b'Four letters picked without replacement from {u: 2, e: 1, f: 1, y: 1, q: 2, d: 2}. Give prob of picking 1 u, 1 e, 1 f, and 1 y.\n' | b'1/63\n' | deepmind/math_dataset |
b'Let h(a) = -a**3 + 7*a**2 - 6*a + 9. Let g(c) be the third derivative of c**4/12 - c**3/6 + 12*c**2. Let t be g(15). Let i = t + -23. Give h(i).\n' | b'9\n' | b'Let h(a) = -a**3 + 7*a**2 - 6*a + 9. Let g(c) be the third derivative of c**4/12 - c**3/6 + 12*c**2. Let t be g(15). Let i = t + -23. Give h(i).\n' | b'9\n' | deepmind/math_dataset |
b'Three letters picked without replacement from knndnnik. What is prob of sequence dni?\n' | b'1/84\n' | b'Three letters picked without replacement from knndnnik. What is prob of sequence dni?\n' | b'1/84\n' | deepmind/math_dataset |
b'Simplify (p**(1/10)*p)**(17/5) assuming p is positive.\n' | b'p**(187/50)\n' | b'Simplify (p**(1/10)*p)**(17/5) assuming p is positive.\n' | b'p**(187/50)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pooppoogo. Give prob of picking 4 o.\n' | b'5/126\n' | b'Four letters picked without replacement from pooppoogo. Give prob of picking 4 o.\n' | b'5/126\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 1 k when two letters picked without replacement from {o: 1, a: 1, k: 1}?\n' | b'1/3\n' | b'What is prob of picking 1 o and 1 k when two letters picked without replacement from {o: 1, a: 1, k: 1}?\n' | b'1/3\n' | deepmind/math_dataset |
b'What is prob of sequence bb when two letters picked without replacement from {o: 2, b: 6, w: 8, p: 2}?\n' | b'5/51\n' | b'What is prob of sequence bb when two letters picked without replacement from {o: 2, b: 6, w: 8, p: 2}?\n' | b'5/51\n' | deepmind/math_dataset |
b'Let c(j) = -2*j - 3. Let t(b) = -b**3 + 8*b**2 + 3*b - 22. Let l be t(8). Suppose -5*s - 13 - l = 0. Give c(s).\n' | b'3\n' | b'Let c(j) = -2*j - 3. Let t(b) = -b**3 + 8*b**2 + 3*b - 22. Let l be t(8). Suppose -5*s - 13 - l = 0. Give c(s).\n' | b'3\n' | deepmind/math_dataset |
b'Let w be 1/(-5) - 26/(-5). What is the second derivative of -20*p**3 + 54*p + 4*p**w - 16*p**2 + 16*p**2 - 3*p**5 wrt p?\n' | b'20*p**3 - 120*p\n' | b'Let w be 1/(-5) - 26/(-5). What is the second derivative of -20*p**3 + 54*p + 4*p**w - 16*p**2 + 16*p**2 - 3*p**5 wrt p?\n' | b'20*p**3 - 120*p\n' | deepmind/math_dataset |
b'Let i(n) = n**5 + n**3 + 1. Let x(s) = 52*s**5 - 4*s**3 - 13*s**2 + s - 4. Let z(t) = -4*i(t) - x(t). Find the third derivative of z(p) wrt p.\n' | b'-3360*p**2\n' | b'Let i(n) = n**5 + n**3 + 1. Let x(s) = 52*s**5 - 4*s**3 - 13*s**2 + s - 4. Let z(t) = -4*i(t) - x(t). Find the third derivative of z(p) wrt p.\n' | b'-3360*p**2\n' | deepmind/math_dataset |
b'Let k(r) = r**3 + 21*r**2 + 41*r + 62. Let b be k(-19). Let q(i) be the first derivative of i**4/4 - 5*i**3/3 + 2*i**2 - 10*i - 4. What is q(b)?\n' | b'10\n' | b'Let k(r) = r**3 + 21*r**2 + 41*r + 62. Let b be k(-19). Let q(i) be the first derivative of i**4/4 - 5*i**3/3 + 2*i**2 - 10*i - 4. What is q(b)?\n' | b'10\n' | deepmind/math_dataset |
b'Calculate prob of sequence fsqs when four letters picked without replacement from fsssdfqfhhqsff.\n' | b'5/1001\n' | b'Calculate prob of sequence fsqs when four letters picked without replacement from fsssdfqfhhqsff.\n' | b'5/1001\n' | deepmind/math_dataset |
b'What is prob of picking 2 e when two letters picked without replacement from {v: 2, r: 3, t: 2, o: 1, x: 7, e: 3}?\n' | b'1/51\n' | b'What is prob of picking 2 e when two letters picked without replacement from {v: 2, r: 3, t: 2, o: 1, x: 7, e: 3}?\n' | b'1/51\n' | deepmind/math_dataset |
b'Simplify ((((i/i**(-1)*i)**31)**(27/4))**14)**(7/4) assuming i is positive.\n' | b'i**(123039/8)\n' | b'Simplify ((((i/i**(-1)*i)**31)**(27/4))**14)**(7/4) assuming i is positive.\n' | b'i**(123039/8)\n' | deepmind/math_dataset |
b'Simplify (x**3*(x*x**(-6/7)/x*x)/x*(x**0)**(-22/3))/(((x*x**1)/x)**(-28)*x**(1/9)/x*(x**(-4)*x)/x*x*x) assuming x is positive.\n' | b'x**(2081/63)\n' | b'Simplify (x**3*(x*x**(-6/7)/x*x)/x*(x**0)**(-22/3))/(((x*x**1)/x)**(-28)*x**(1/9)/x*(x**(-4)*x)/x*x*x) assuming x is positive.\n' | b'x**(2081/63)\n' | deepmind/math_dataset |
b'What is prob of sequence jpu when three letters picked without replacement from djkpjuj?\n' | b'1/70\n' | b'What is prob of sequence jpu when three letters picked without replacement from djkpjuj?\n' | b'1/70\n' | deepmind/math_dataset |
b'Let w(c) = -c**3 - 22*c**2 - 44*c - 76. Let p be w(-20). What is the second derivative of 2*a**3 + 4*a**4 + 0*a**4 - 12*a**5 - p*a**4 - 31*a wrt a?\n' | b'-240*a**3 + 12*a\n' | b'Let w(c) = -c**3 - 22*c**2 - 44*c - 76. Let p be w(-20). What is the second derivative of 2*a**3 + 4*a**4 + 0*a**4 - 12*a**5 - p*a**4 - 31*a wrt a?\n' | b'-240*a**3 + 12*a\n' | deepmind/math_dataset |
b'Let o(f) = -27*f**2 + 1480*f + 7. Let p(g) = -28*g**2 + 1486*g + 8. Let x(y) = 6*o(y) - 5*p(y). Find the second derivative of x(q) wrt q.\n' | b'-44\n' | b'Let o(f) = -27*f**2 + 1480*f + 7. Let p(g) = -28*g**2 + 1486*g + 8. Let x(y) = 6*o(y) - 5*p(y). Find the second derivative of x(q) wrt q.\n' | b'-44\n' | deepmind/math_dataset |
b'Suppose 7*r + 17 = 45. Solve -r*s - 18 = 2*g - 4, 0 = -4*g - s - 21 for g.\n' | b'-5\n' | b'Suppose 7*r + 17 = 45. Solve -r*s - 18 = 2*g - 4, 0 = -4*g - s - 21 for g.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (((i/i**(2/3))**(-17)*((((i**(-1)/i*i)/i)/i)/i)/((i*i**(-2/31))/i*i))**39)**4 assuming i is positive.\n' | b'i**(-51272/31)\n' | b'Simplify (((i/i**(2/3))**(-17)*((((i**(-1)/i*i)/i)/i)/i)/((i*i**(-2/31))/i*i))**39)**4 assuming i is positive.\n' | b'i**(-51272/31)\n' | deepmind/math_dataset |
b'Simplify u*((u/u**(-11))/u)/u*u**(-11)/u*(u/((u*u*u**13*u)/u))/u*(u*u/((u**(-3)*u*u*u)/u))/u assuming u is positive.\n' | b'u**(-14)\n' | b'Simplify u*((u/u**(-11))/u)/u*u**(-11)/u*(u/((u*u*u**13*u)/u))/u*(u*u/((u**(-3)*u*u*u)/u))/u assuming u is positive.\n' | b'u**(-14)\n' | deepmind/math_dataset |
b'What is prob of sequence cmmj when four letters picked without replacement from {c: 7, j: 2, m: 3}?\n' | b'7/990\n' | b'What is prob of sequence cmmj when four letters picked without replacement from {c: 7, j: 2, m: 3}?\n' | b'7/990\n' | deepmind/math_dataset |
b'What is prob of sequence zz when two letters picked without replacement from gzgzgezgggzgggk?\n' | b'2/35\n' | b'What is prob of sequence zz when two letters picked without replacement from gzgzgezgggzgggk?\n' | b'2/35\n' | deepmind/math_dataset |
b'Let f be (-3)/9 - (-318)/9. Suppose 12*l = 107 - f. Find the third derivative of 16*i**6 - 5*i**6 - 8*i**6 - 33*i**2 - 11*i**l wrt i.\n' | b'-960*i**3\n' | b'Let f be (-3)/9 - (-318)/9. Suppose 12*l = 107 - f. Find the third derivative of 16*i**6 - 5*i**6 - 8*i**6 - 33*i**2 - 11*i**l wrt i.\n' | b'-960*i**3\n' | deepmind/math_dataset |
b'Suppose -2*y + 7 + 9 = 0. Suppose 2*t - 2 = y. Let f = t + -5. Solve 0 = -3*h + 3*i + 12, -5*h + f*h = -4*i - 17 for h.\n' | b'1\n' | b'Suppose -2*y + 7 + 9 = 0. Suppose 2*t - 2 = y. Let f = t + -5. Solve 0 = -3*h + 3*i + 12, -5*h + f*h = -4*i - 17 for h.\n' | b'1\n' | deepmind/math_dataset |
b'Let u(g) be the second derivative of -3*g**6/2 + 4*g**4/3 - g**3/6 - 5*g - 6. Find the third derivative of u(j) wrt j.\n' | b'-1080*j\n' | b'Let u(g) be the second derivative of -3*g**6/2 + 4*g**4/3 - g**3/6 - 5*g - 6. Find the third derivative of u(j) wrt j.\n' | b'-1080*j\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 4, j: 3, z: 1, u: 10}. What is prob of picking 1 j and 1 i?\n' | b'4/51\n' | b'Two letters picked without replacement from {i: 4, j: 3, z: 1, u: 10}. What is prob of picking 1 j and 1 i?\n' | b'4/51\n' | deepmind/math_dataset |
b'What is prob of sequence kkkk when four letters picked without replacement from {k: 6}?\n' | b'1\n' | b'What is prob of sequence kkkk when four letters picked without replacement from {k: 6}?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 c and 1 k when two letters picked without replacement from ckk?\n' | b'2/3\n' | b'What is prob of picking 1 c and 1 k when two letters picked without replacement from ckk?\n' | b'2/3\n' | deepmind/math_dataset |
b'Let f = -102 - -105. Solve -2*w - 3 = 2*m + 5, f*m = 0 for w.\n' | b'-4\n' | b'Let f = -102 - -105. Solve -2*w - 3 = 2*m + 5, f*m = 0 for w.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((u/((u/u**0)/u))/(u/(u/((u/((u/((u*u**(2/25))/u))/u))/u)))*((u*u**(-2/3)/u*u*u*u)/u)/u**7)**5 assuming u is positive.\n' | b'u**(-356/15)\n' | b'Simplify ((u/((u/u**0)/u))/(u/(u/((u/((u/((u*u**(2/25))/u))/u))/u)))*((u*u**(-2/3)/u*u*u*u)/u)/u**7)**5 assuming u is positive.\n' | b'u**(-356/15)\n' | deepmind/math_dataset |
b'Let m(r) = -13*r - 34. Let z be m(-4). Suppose 0*v - 3*v + z = -5*s, -v = 2*s + 5. Let p(h) = h**3 - h**2 - 3*h - 1. What is p(s)?\n' | b'-28\n' | b'Let m(r) = -13*r - 34. Let z be m(-4). Suppose 0*v - 3*v + z = -5*s, -v = 2*s + 5. Let p(h) = h**3 - h**2 - 3*h - 1. What is p(s)?\n' | b'-28\n' | deepmind/math_dataset |
b'Simplify ((r**(-3))**(-2/77))**(-34) assuming r is positive.\n' | b'r**(-204/77)\n' | b'Simplify ((r**(-3))**(-2/77))**(-34) assuming r is positive.\n' | b'r**(-204/77)\n' | deepmind/math_dataset |
b'Let i be (-14 - -10)*10/(-8). Let s = 9 - i. Let c = -12 + 12. Solve s*y - 5 + 2 = 5*q, 5*q - 5*y + 5 = c for q.\n' | b'1\n' | b'Let i be (-14 - -10)*10/(-8). Let s = 9 - i. Let c = -12 + 12. Solve s*y - 5 + 2 = 5*q, 5*q - 5*y + 5 = c for q.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence hv when two letters picked without replacement from vmhvapxvhxavphvm.\n' | b'1/16\n' | b'Calculate prob of sequence hv when two letters picked without replacement from vmhvapxvhxavphvm.\n' | b'1/16\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 j when three letters picked without replacement from {j: 8, u: 4, v: 2}.\n' | b'2/13\n' | b'Calculate prob of picking 3 j when three letters picked without replacement from {j: 8, u: 4, v: 2}.\n' | b'2/13\n' | deepmind/math_dataset |
b'Simplify (k**2)**(-29)/(k/((k/(k*k*k**4*k))/k)*k**(-1/2)*k) assuming k is positive.\n' | b'k**(-133/2)\n' | b'Simplify (k**2)**(-29)/(k/((k/(k*k*k**4*k))/k)*k**(-1/2)*k) assuming k is positive.\n' | b'k**(-133/2)\n' | deepmind/math_dataset |
b'Let p(i) = 5*i**3 - 28*i**2 + 21*i - 139. Let l(w) = -w**3 + 6*w**2 - 4*w + 28. Let k(g) = 11*l(g) + 2*p(g). Determine k(10).\n' | b'10\n' | b'Let p(i) = 5*i**3 - 28*i**2 + 21*i - 139. Let l(w) = -w**3 + 6*w**2 - 4*w + 28. Let k(g) = 11*l(g) + 2*p(g). Determine k(10).\n' | b'10\n' | deepmind/math_dataset |
b'Let i be (-159)/(-212)*(-2)/(-3). Let j(h) be the first derivative of 0*h**2 + 0*h + 7/3*h**3 + 1 - i*h**4. What is the third derivative of j(r) wrt r?\n' | b'-12\n' | b'Let i be (-159)/(-212)*(-2)/(-3). Let j(h) be the first derivative of 0*h**2 + 0*h + 7/3*h**3 + 1 - i*h**4. What is the third derivative of j(r) wrt r?\n' | b'-12\n' | deepmind/math_dataset |
b'What is prob of picking 3 d and 1 n when four letters picked without replacement from {n: 7, d: 3}?\n' | b'1/30\n' | b'What is prob of picking 3 d and 1 n when four letters picked without replacement from {n: 7, d: 3}?\n' | b'1/30\n' | deepmind/math_dataset |
b'Let m(h) = -7*h + 11. Let j(s) = -s**2 - 10*s - 2. Let u be j(0). Let f(v) = 18*v - 23. Let p(z) = u*f(z) - 5*m(z). What is p(-11)?\n' | b'2\n' | b'Let m(h) = -7*h + 11. Let j(s) = -s**2 - 10*s - 2. Let u be j(0). Let f(v) = 18*v - 23. Let p(z) = u*f(z) - 5*m(z). What is p(-11)?\n' | b'2\n' | deepmind/math_dataset |
b'Let d = 55 - 30. Find the third derivative of -25*b**3 + d*b**3 - 3*b**2 - 4*b**6 wrt b.\n' | b'-480*b**3\n' | b'Let d = 55 - 30. Find the third derivative of -25*b**3 + d*b**3 - 3*b**2 - 4*b**6 wrt b.\n' | b'-480*b**3\n' | deepmind/math_dataset |
b'Suppose 2*o = -3*i - i + 10, -2*o = 2*i. Let r(j) = 4*j**3 - 4*j**2 - 2*j + 8. Let n(k) = 5*k**3 - 4*k**2 - k + 9. Let p(z) = 3*n(z) - 4*r(z). Determine p(i).\n' | b'-5\n' | b'Suppose 2*o = -3*i - i + 10, -2*o = 2*i. Let r(j) = 4*j**3 - 4*j**2 - 2*j + 8. Let n(k) = 5*k**3 - 4*k**2 - k + 9. Let p(z) = 3*n(z) - 4*r(z). Determine p(i).\n' | b'-5\n' | deepmind/math_dataset |
b'Let h(j) = 1160*j**3 - 18*j + 1420. Let k(i) = 2321*i**3 - 30*i + 2839. Let s(b) = 5*h(b) - 3*k(b). Differentiate s(l) with respect to l.\n' | b'-3489*l**2\n' | b'Let h(j) = 1160*j**3 - 18*j + 1420. Let k(i) = 2321*i**3 - 30*i + 2839. Let s(b) = 5*h(b) - 3*k(b). Differentiate s(l) with respect to l.\n' | b'-3489*l**2\n' | deepmind/math_dataset |
b'Let t(z) be the first derivative of -1 + 5/2*z**2 - 2*z - 1/4*z**4 - z**3. Determine t(-4).\n' | b'-6\n' | b'Let t(z) be the first derivative of -1 + 5/2*z**2 - 2*z - 1/4*z**4 - z**3. Determine t(-4).\n' | b'-6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lltlllltltlllllllxll. What is prob of sequence lll?\n' | b'28/57\n' | b'Three letters picked without replacement from lltlllltltlllllllxll. What is prob of sequence lll?\n' | b'28/57\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a and 1 g when two letters picked without replacement from {a: 2, e: 1, t: 1, d: 1, g: 4}.\n' | b'2/9\n' | b'Calculate prob of picking 1 a and 1 g when two letters picked without replacement from {a: 2, e: 1, t: 1, d: 1, g: 4}.\n' | b'2/9\n' | deepmind/math_dataset |
b'Let b(y) be the third derivative of 91*y**5/60 - 2*y**3 + 57*y**2. What is the first derivative of b(q) wrt q?\n' | b'182*q\n' | b'Let b(y) be the third derivative of 91*y**5/60 - 2*y**3 + 57*y**2. What is the first derivative of b(q) wrt q?\n' | b'182*q\n' | deepmind/math_dataset |
b'Let u(n) = n**2 - 8*n + 4. Let r be (-6 - -2)/((-4)/4). Let f = -28 + 32. Suppose 0 = 4*w + 3*h - 38, f*h - r - 4 = 0. Calculate u(w).\n' | b'4\n' | b'Let u(n) = n**2 - 8*n + 4. Let r be (-6 - -2)/((-4)/4). Let f = -28 + 32. Suppose 0 = 4*w + 3*h - 38, f*h - r - 4 = 0. Calculate u(w).\n' | b'4\n' | deepmind/math_dataset |
b'Let s(x) = 10*x**2 + 5*x - 5. Let z be (30/3)/((-12)/(-6)). Let f(t) = -11*t**2 - 6*t + 6. Let q(j) = z*f(j) + 6*s(j). Determine q(1).\n' | b'5\n' | b'Let s(x) = 10*x**2 + 5*x - 5. Let z be (30/3)/((-12)/(-6)). Let f(t) = -11*t**2 - 6*t + 6. Let q(j) = z*f(j) + 6*s(j). Determine q(1).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((j/(j*j*j**12))/j**(-7))**9/((j**2)**34*j*(j**(-7)*j*j)/j*j**(-9)*j*j) assuming j is positive.\n' | b'j**(-110)\n' | b'Simplify ((j/(j*j*j**12))/j**(-7))**9/((j**2)**34*j*(j**(-7)*j*j)/j*j**(-9)*j*j) assuming j is positive.\n' | b'j**(-110)\n' | deepmind/math_dataset |
b'Let u(k) = -k**3 - 10*k**2 + 14*k + 38. Let n be u(-11). Solve 4*t = n*p, 4*t + 5*p + 11 = -29 for t.\n' | b'-5\n' | b'Let u(k) = -k**3 - 10*k**2 + 14*k + 38. Let n be u(-11). Solve 4*t = n*p, 4*t + 5*p + 11 = -29 for t.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((l*l**(-2))/((l*l**(-1/7)*l)/l))**(-11/2) assuming l is positive.\n' | b'l**(143/14)\n' | b'Simplify ((l*l**(-2))/((l*l**(-1/7)*l)/l))**(-11/2) assuming l is positive.\n' | b'l**(143/14)\n' | deepmind/math_dataset |
b'Let x(c) = 60*c**2 - 39. Let w(n) = 12*n**2 - 8. Let z(t) = 11*w(t) - 2*x(t). Differentiate z(v) with respect to v.\n' | b'24*v\n' | b'Let x(c) = 60*c**2 - 39. Let w(n) = 12*n**2 - 8. Let z(t) = 11*w(t) - 2*x(t). Differentiate z(v) with respect to v.\n' | b'24*v\n' | deepmind/math_dataset |
b'Let j(z) = z**2 + 7*z - 137. Let a be -10 + ((-12)/(-2) - 12). What is j(a)?\n' | b'7\n' | b'Let j(z) = z**2 + 7*z - 137. Let a be -10 + ((-12)/(-2) - 12). What is j(a)?\n' | b'7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 1, n: 1, y: 2, u: 7, k: 3, z: 4}. Give prob of picking 1 z and 1 y.\n' | b'8/153\n' | b'Two letters picked without replacement from {r: 1, n: 1, y: 2, u: 7, k: 3, z: 4}. Give prob of picking 1 z and 1 y.\n' | b'8/153\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 2, j: 2, i: 4}. Give prob of sequence jii.\n' | b'1/14\n' | b'Three letters picked without replacement from {a: 2, j: 2, i: 4}. Give prob of sequence jii.\n' | b'1/14\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 2, n: 1, g: 2, y: 1}. What is prob of picking 2 g and 1 k?\n' | b'1/10\n' | b'Three letters picked without replacement from {k: 2, n: 1, g: 2, y: 1}. What is prob of picking 2 g and 1 k?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let c be (1 - (4 - 1))*1056/(-64). Solve 25 = -f - 5*s, 2*s + c = -4*f - f for f.\n' | b'-5\n' | b'Let c be (1 - (4 - 1))*1056/(-64). Solve 25 = -f - 5*s, 2*s + c = -4*f - f for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Let m = -73 + 73. Let k(n) be the second derivative of 1/6*n**3 + m - 2*n - n**2. What is the first derivative of k(b) wrt b?\n' | b'1\n' | b'Let m = -73 + 73. Let k(n) be the second derivative of 1/6*n**3 + m - 2*n - n**2. What is the first derivative of k(b) wrt b?\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bjbbttttj. Give prob of sequence bt.\n' | b'1/6\n' | b'Two letters picked without replacement from bjbbttttj. Give prob of sequence bt.\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify ((w*w*w**(-2/35)/w*w)/(w/(w/w**(-4/3))))/(w/(w**27*w))**(-17/6) assuming w is positive.\n' | b'w**(-15377/210)\n' | b'Simplify ((w*w*w**(-2/35)/w*w)/(w/(w/w**(-4/3))))/(w/(w**27*w))**(-17/6) assuming w is positive.\n' | b'w**(-15377/210)\n' | deepmind/math_dataset |
b'What is the derivative of 7*t**4 - 3*t**4 - t**4 + 7 + 3*t**4 wrt t?\n' | b'24*t**3\n' | b'What is the derivative of 7*t**4 - 3*t**4 - t**4 + 7 + 3*t**4 wrt t?\n' | b'24*t**3\n' | deepmind/math_dataset |
b'Let s = -32 - -33. Let z be -2 - -2 - (-1 + -1). Let j(v) = -2*v + v + z*v**2 - 9*v**2. What is j(s)?\n' | b'-8\n' | b'Let s = -32 - -33. Let z be -2 - -2 - (-1 + -1). Let j(v) = -2*v + v + z*v**2 - 9*v**2. What is j(s)?\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify p**(-10)*((p/p**(3/2))/p*p)/p assuming p is positive.\n' | b'p**(-23/2)\n' | b'Simplify p**(-10)*((p/p**(3/2))/p*p)/p assuming p is positive.\n' | b'p**(-23/2)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 x when two letters picked without replacement from lxlxlvzxvlvly.\n' | b'1/26\n' | b'Calculate prob of picking 2 x when two letters picked without replacement from lxlxlvzxvlvly.\n' | b'1/26\n' | deepmind/math_dataset |
b'Let b(c) = -c**2 - 6*c - 3. Let f be b(-5). Let o(h) = -4*h + 1 + h - h**2 + 0*h**f + 2*h + h**3. Determine o(0).\n' | b'1\n' | b'Let b(c) = -c**2 - 6*c - 3. Let f be b(-5). Let o(h) = -4*h + 1 + h - h**2 + 0*h**f + 2*h + h**3. Determine o(0).\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zvvzrisrvzvzarr. Give prob of picking 2 z and 1 s.\n' | b'6/455\n' | b'Three letters picked without replacement from zvvzrisrvzvzarr. Give prob of picking 2 z and 1 s.\n' | b'6/455\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jthqmhrm. What is prob of sequence mq?\n' | b'1/28\n' | b'Two letters picked without replacement from jthqmhrm. What is prob of sequence mq?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let x(s) = -6*s**2 - s + 1. Let d(z) = 919*z**2 - 5*z - 2278. Let a(q) = -d(q) + 5*x(q). What is the first derivative of a(n) wrt n?\n' | b'-1898*n\n' | b'Let x(s) = -6*s**2 - s + 1. Let d(z) = 919*z**2 - 5*z - 2278. Let a(q) = -d(q) + 5*x(q). What is the first derivative of a(n) wrt n?\n' | b'-1898*n\n' | deepmind/math_dataset |
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