question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Let c(o) = -o**2 + 144*o - 282. Let f be c(2). Solve 3*u = 6*u - 4*t + 23, -t + 3 = f*u for u.\n' | b'-1\n' | b'Let c(o) = -o**2 + 144*o - 282. Let f be c(2). Solve 3*u = 6*u - 4*t + 23, -t + 3 = f*u for u.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence mf when two letters picked without replacement from {m: 2, f: 11}?\n' | b'11/78\n' | b'What is prob of sequence mf when two letters picked without replacement from {m: 2, f: 11}?\n' | b'11/78\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gggssoggggggnosg. What is prob of picking 1 o and 1 s?\n' | b'1/20\n' | b'Two letters picked without replacement from gggssoggggggnosg. What is prob of picking 1 o and 1 s?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let r(f) = -f**6 - f**5 - f**2 + f - 1. Let o(h) = 211*h**6 + 3*h**5 - 133*h**2 - 3*h + 3. Let k(y) = o(y) + 3*r(y). Find the third derivative of k(c) wrt c.\n' | b'24960*c**3\n' | b'Let r(f) = -f**6 - f**5 - f**2 + f - 1. Let o(h) = 211*h**6 + 3*h**5 - 133*h**2 - 3*h + 3. Let k(y) = o(y) + 3*r(y). Find the third derivative of k(c) wrt c.\n' | b'24960*c**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from tkwckccwckkwk. What is prob of picking 1 c and 2 k?\n' | b'20/143\n' | b'Three letters picked without replacement from tkwckccwckkwk. What is prob of picking 1 c and 2 k?\n' | b'20/143\n' | deepmind/math_dataset |
b'Let b(y) = 4*y**2 + 8*y + 10. Let a(d) = -d**2 - 3*d - 3. Let p(w) = -20*a(w) - 6*b(w). What is the second derivative of p(k) wrt k?\n' | b'-8\n' | b'Let b(y) = 4*y**2 + 8*y + 10. Let a(d) = -d**2 - 3*d - 3. Let p(w) = -20*a(w) - 6*b(w). What is the second derivative of p(k) wrt k?\n' | b'-8\n' | deepmind/math_dataset |
b'Let f(i) = 240*i + 153. Let l(t) = -60*t - 35. Let y(p) = -2*f(p) - 9*l(p). Give y(-2).\n' | b'-111\n' | b'Let f(i) = 240*i + 153. Let l(t) = -60*t - 35. Let y(p) = -2*f(p) - 9*l(p). Give y(-2).\n' | b'-111\n' | deepmind/math_dataset |
b'Let i(t) be the first derivative of -t**2 - 7*t + 3. Let u be i(-6). Solve -5*w = 4*v - 2*v - 12, 0 = u*w + 3*v - 8 for w.\n' | b'4\n' | b'Let i(t) be the first derivative of -t**2 - 7*t + 3. Let u be i(-6). Solve -5*w = 4*v - 2*v - 12, 0 = u*w + 3*v - 8 for w.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 1 r, 1 z, and 1 f when three letters picked without replacement from {u: 2, r: 1, f: 1, z: 4, y: 1}?\n' | b'1/21\n' | b'What is prob of picking 1 r, 1 z, and 1 f when three letters picked without replacement from {u: 2, r: 1, f: 1, z: 4, y: 1}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let j(q) be the second derivative of -q**6/15 + 523*q**5/10 - 2875*q**4/12 - 1949*q. Find the third derivative of j(t) wrt t.\n' | b'-48*t + 6276\n' | b'Let j(q) be the second derivative of -q**6/15 + 523*q**5/10 - 2875*q**4/12 - 1949*q. Find the third derivative of j(t) wrt t.\n' | b'-48*t + 6276\n' | deepmind/math_dataset |
b'Suppose -q + 4*q = o + 9, -5*o = 5*q - 55. Solve 4*j + 4 = q*m, 2*j + 7 = -4*m + 5 for j.\n' | b'-1\n' | b'Suppose -q + 4*q = o + 9, -5*o = 5*q - 55. Solve 4*j + 4 = q*m, 2*j + 7 = -4*m + 5 for j.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jphpjlj. Give prob of picking 1 p and 1 l.\n' | b'2/21\n' | b'Two letters picked without replacement from jphpjlj. Give prob of picking 1 p and 1 l.\n' | b'2/21\n' | deepmind/math_dataset |
b'Let s(c) = -c + 2. Let d be s(-5). Let a(u) = u - 3. Give a(d).\n' | b'4\n' | b'Let s(c) = -c + 2. Let d be s(-5). Let a(u) = u - 3. Give a(d).\n' | b'4\n' | deepmind/math_dataset |
b'Let s(d) = d**3 + 2*d**2. Let b(a) = -473*a**4 + 4*a**3 + 4*a**2 + 68. Let h(q) = -b(q) + 4*s(q). What is the third derivative of h(j) wrt j?\n' | b'11352*j\n' | b'Let s(d) = d**3 + 2*d**2. Let b(a) = -473*a**4 + 4*a**3 + 4*a**2 + 68. Let h(q) = -b(q) + 4*s(q). What is the third derivative of h(j) wrt j?\n' | b'11352*j\n' | deepmind/math_dataset |
b'Simplify (i/(i**(-6/5)*i)*i*i**5)/(i/i**(-1/5)*i)**36 assuming i is positive.\n' | b'i**(-72)\n' | b'Simplify (i/(i**(-6/5)*i)*i*i**5)/(i/i**(-1/5)*i)**36 assuming i is positive.\n' | b'i**(-72)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xoxxxxxoxxxxoxxx. What is prob of picking 3 x?\n' | b'143/280\n' | b'Three letters picked without replacement from xoxxxxxoxxxxoxxx. What is prob of picking 3 x?\n' | b'143/280\n' | deepmind/math_dataset |
b'Suppose -o = -3*i + i - 2, 2*o - 2*i - 6 = 0. Let u(t) be the third derivative of 2/3*t**3 + 0*t - 3*t**2 + 0 - 1/24*t**4. Give u(o).\n' | b'0\n' | b'Suppose -o = -3*i + i - 2, 2*o - 2*i - 6 = 0. Let u(t) be the third derivative of 2/3*t**3 + 0*t - 3*t**2 + 0 - 1/24*t**4. Give u(o).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((n**(7/3)*n)/(n/n**(-5)*n))/(n**(2/21))**(-3) assuming n is positive.\n' | b'n**(-71/21)\n' | b'Simplify ((n**(7/3)*n)/(n/n**(-5)*n))/(n**(2/21))**(-3) assuming n is positive.\n' | b'n**(-71/21)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 13, i: 6}. Give prob of sequence xixi.\n' | b'65/1292\n' | b'Four letters picked without replacement from {x: 13, i: 6}. Give prob of sequence xixi.\n' | b'65/1292\n' | deepmind/math_dataset |
b'What is prob of sequence aa when two letters picked without replacement from ssaasasaaasssssuuaa?\n' | b'28/171\n' | b'What is prob of sequence aa when two letters picked without replacement from ssaasasaaasssssuuaa?\n' | b'28/171\n' | deepmind/math_dataset |
b'Simplify (o*o**(-9)*o**7*(o**(2/9))**(-2/11))**13 assuming o is positive.\n' | b'o**(-1339/99)\n' | b'Simplify (o*o**(-9)*o**7*(o**(2/9))**(-2/11))**13 assuming o is positive.\n' | b'o**(-1339/99)\n' | deepmind/math_dataset |
b'Let j be 180/63*(-7)/(-2). Suppose 6*r = 16 - j. Solve -r = 2*y + 3*s - 6, 2*y - 2*s = 0 for y.\n' | b'1\n' | b'Let j be 180/63*(-7)/(-2). Suppose 6*r = 16 - j. Solve -r = 2*y + 3*s - 6, 2*y - 2*s = 0 for y.\n' | b'1\n' | deepmind/math_dataset |
b'Let l(b) = 3*b. Let f be l(1). What is the third derivative of f*r**2 + 3*r**2 - 2*r**2 + 2*r**4 + 0*r**2 wrt r?\n' | b'48*r\n' | b'Let l(b) = 3*b. Let f be l(1). What is the third derivative of f*r**2 + 3*r**2 - 2*r**2 + 2*r**4 + 0*r**2 wrt r?\n' | b'48*r\n' | deepmind/math_dataset |
b'Let w(s) be the third derivative of 2041*s**4/24 + 163*s**3 + 2*s**2 - 2696. Differentiate w(f) with respect to f.\n' | b'2041\n' | b'Let w(s) be the third derivative of 2041*s**4/24 + 163*s**3 + 2*s**2 - 2696. Differentiate w(f) with respect to f.\n' | b'2041\n' | deepmind/math_dataset |
b'Suppose 5*x + 3 = f, -8 = -3*f - 4*x + 20. Suppose f*a - 33 = -25. Let t(i) = i**2 + i. Give t(a).\n' | b'2\n' | b'Suppose 5*x + 3 = f, -8 = -3*f - 4*x + 20. Suppose f*a - 33 = -25. Let t(i) = i**2 + i. Give t(a).\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 3, n: 3, a: 3, s: 8}. What is prob of picking 1 s and 1 a?\n' | b'3/17\n' | b'Two letters picked without replacement from {t: 3, n: 3, a: 3, s: 8}. What is prob of picking 1 s and 1 a?\n' | b'3/17\n' | deepmind/math_dataset |
b'Let j(a) = 8*a**2 + 15*a + 4. Let u(o) be the second derivative of 0 - 1/2*o**2 - 5*o. Let m(q) = j(q) + 4*u(q). What is the second derivative of m(y) wrt y?\n' | b'16\n' | b'Let j(a) = 8*a**2 + 15*a + 4. Let u(o) be the second derivative of 0 - 1/2*o**2 - 5*o. Let m(q) = j(q) + 4*u(q). What is the second derivative of m(y) wrt y?\n' | b'16\n' | deepmind/math_dataset |
b'Let s be 8/12*27*(-28)/(-4). Find the second derivative of -323*r**3 + s*r - 348*r**3 + 600*r**3 wrt r.\n' | b'-426*r\n' | b'Let s be 8/12*27*(-28)/(-4). Find the second derivative of -323*r**3 + s*r - 348*r**3 + 600*r**3 wrt r.\n' | b'-426*r\n' | deepmind/math_dataset |
b'Let i(y) = y**2 + 3*y + 3. Let f(u) = u**2 + 4*u - 4. Let l be f(-5). Suppose -2 = p + l. Let n be i(p). Let h(d) = d**3 - d**2 - 4*d + 2. Calculate h(n).\n' | b'8\n' | b'Let i(y) = y**2 + 3*y + 3. Let f(u) = u**2 + 4*u - 4. Let l be f(-5). Suppose -2 = p + l. Let n be i(p). Let h(d) = d**3 - d**2 - 4*d + 2. Calculate h(n).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify (((a/a**(1/3))/a)/a*a*a*a**(-2/9))/((((a/(a/(a/((a*a/(a/a**(-6)))/a))))/a)/a)/(a/a**3)) assuming a is positive.\n' | b'a**(-59/9)\n' | b'Simplify (((a/a**(1/3))/a)/a*a*a*a**(-2/9))/((((a/(a/(a/((a*a/(a/a**(-6)))/a))))/a)/a)/(a/a**3)) assuming a is positive.\n' | b'a**(-59/9)\n' | deepmind/math_dataset |
b'Let v(n) = -3*n - 33. Let a(o) = -12*o - 132. Let r(c) = 5*a(c) - 21*v(c). Let b be r(11). What is the derivative of 38 - b + 10 - 16*g wrt g?\n' | b'-16\n' | b'Let v(n) = -3*n - 33. Let a(o) = -12*o - 132. Let r(c) = 5*a(c) - 21*v(c). Let b be r(11). What is the derivative of 38 - b + 10 - 16*g wrt g?\n' | b'-16\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 2, n: 9, v: 1, z: 3, e: 1, f: 2}. Give prob of picking 1 f and 1 v.\n' | b'2/153\n' | b'Two letters picked without replacement from {r: 2, n: 9, v: 1, z: 3, e: 1, f: 2}. Give prob of picking 1 f and 1 v.\n' | b'2/153\n' | deepmind/math_dataset |
b'Let t(l) be the second derivative of 55*l**2 - 1/3*l**3 + 0 + 84*l + 19/12*l**4. What is the first derivative of t(q) wrt q?\n' | b'38*q - 2\n' | b'Let t(l) be the second derivative of 55*l**2 - 1/3*l**3 + 0 + 84*l + 19/12*l**4. What is the first derivative of t(q) wrt q?\n' | b'38*q - 2\n' | deepmind/math_dataset |
b'Let s(i) be the third derivative of -i**4/24 - 4*i**3/3 - 2314*i**2. Give s(3).\n' | b'-11\n' | b'Let s(i) be the third derivative of -i**4/24 - 4*i**3/3 - 2314*i**2. Give s(3).\n' | b'-11\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, p: 3, m: 5}.\n' | b'1/45\n' | b'Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, p: 3, m: 5}.\n' | b'1/45\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 4, k: 3, f: 5, t: 4}. Give prob of picking 1 k and 2 f.\n' | b'3/56\n' | b'Three letters picked without replacement from {p: 4, k: 3, f: 5, t: 4}. Give prob of picking 1 k and 2 f.\n' | b'3/56\n' | deepmind/math_dataset |
b'Let t(b) = -4*b**2 + 11493*b + 2*b**3 + 6 - 3*b**3 - 11491*b. Give t(-3).\n' | b'-9\n' | b'Let t(b) = -4*b**2 + 11493*b + 2*b**3 + 6 - 3*b**3 - 11491*b. Give t(-3).\n' | b'-9\n' | deepmind/math_dataset |
b'Calculate prob of sequence iyi when three letters picked without replacement from {x: 3, i: 2, w: 4, y: 2}.\n' | b'2/495\n' | b'Calculate prob of sequence iyi when three letters picked without replacement from {x: 3, i: 2, w: 4, y: 2}.\n' | b'2/495\n' | deepmind/math_dataset |
b'Let r be ((-12)/10)/(6/40). Let g be 28 + 12/r*2. Solve 4*t + g = 3*x, 0*x - 2*x = 3*t + 6 for t.\n' | b'-4\n' | b'Let r be ((-12)/10)/(6/40). Let g be 28 + 12/r*2. Solve 4*t + g = 3*x, 0*x - 2*x = 3*t + 6 for t.\n' | b'-4\n' | deepmind/math_dataset |
b'Let h be 2/(-5) + (-14)/(-10). Suppose 0 = -4*m + 13 - h. Let b be ((-2)/(-15))/(773/3865) + 26/6. Solve -b*a - 14 = -u, -m*a - 15 = 2*a for u.\n' | b'-1\n' | b'Let h be 2/(-5) + (-14)/(-10). Suppose 0 = -4*m + 13 - h. Let b be ((-2)/(-15))/(773/3865) + 26/6. Solve -b*a - 14 = -u, -m*a - 15 = 2*a for u.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 9, x: 2}. What is prob of picking 2 x?\n' | b'1/55\n' | b'Two letters picked without replacement from {c: 9, x: 2}. What is prob of picking 2 x?\n' | b'1/55\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 n and 1 r when three letters picked without replacement from rsrwrnewneewwreeswrs.\n' | b'1/228\n' | b'Calculate prob of picking 2 n and 1 r when three letters picked without replacement from rsrwrnewneewwreeswrs.\n' | b'1/228\n' | deepmind/math_dataset |
b'Find the second derivative of -2*x - 14*x**2 + 5*x - 2*x + 3*x**2 wrt x.\n' | b'-22\n' | b'Find the second derivative of -2*x - 14*x**2 + 5*x - 2*x + 3*x**2 wrt x.\n' | b'-22\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hgghhege. What is prob of sequence ge?\n' | b'3/28\n' | b'Two letters picked without replacement from hgghhege. What is prob of sequence ge?\n' | b'3/28\n' | deepmind/math_dataset |
b'Let f(v) be the second derivative of v**5/10 + v**4/6 - v**3/3 - 11*v - 23. Let c = -11 - -13. Suppose 2 = -c*l + l. Give f(l).\n' | b'-4\n' | b'Let f(v) be the second derivative of v**5/10 + v**4/6 - v**3/3 - 11*v - 23. Let c = -11 - -13. Suppose 2 = -c*l + l. Give f(l).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 5*j + k - 9 = 0, 0 = -j - 2*j - 5*k + 1. Solve j*w - 3*r = w, 3*r = 2*w - 3 for w.\n' | b'3\n' | b'Suppose 5*j + k - 9 = 0, 0 = -j - 2*j - 5*k + 1. Solve j*w - 3*r = w, 3*r = 2*w - 3 for w.\n' | b'3\n' | deepmind/math_dataset |
b'Let s(u) be the first derivative of -u**6/2 + 2*u**3/3 + 929*u**2/2 - 1177. What is the second derivative of s(y) wrt y?\n' | b'-60*y**3 + 4\n' | b'Let s(u) be the first derivative of -u**6/2 + 2*u**3/3 + 929*u**2/2 - 1177. What is the second derivative of s(y) wrt y?\n' | b'-60*y**3 + 4\n' | deepmind/math_dataset |
b'Simplify ((a*a**(-5)*a)/(a**(-6)*a)*(a/((a**1/a)/a))/(a*(a**0/a)/a))/(a**(1/3)*a*a**4)**14 assuming a is positive.\n' | b'a**(-209/3)\n' | b'Simplify ((a*a**(-5)*a)/(a**(-6)*a)*(a/((a**1/a)/a))/(a*(a**0/a)/a))/(a**(1/3)*a*a**4)**14 assuming a is positive.\n' | b'a**(-209/3)\n' | deepmind/math_dataset |
b'Let m(v) be the third derivative of v**4/4 + 13*v**3/6 + 2*v**2 - 17. Let d be m(0). Solve -5*n - 4*k + d = -0*k, 6 = 3*k for n.\n' | b'1\n' | b'Let m(v) be the third derivative of v**4/4 + 13*v**3/6 + 2*v**2 - 17. Let d be m(0). Solve -5*n - 4*k + d = -0*k, 6 = 3*k for n.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 v and 1 e when two letters picked without replacement from {i: 1, u: 1, v: 2, e: 1, m: 1, q: 1}?\n' | b'2/21\n' | b'What is prob of picking 1 v and 1 e when two letters picked without replacement from {i: 1, u: 1, v: 2, e: 1, m: 1, q: 1}?\n' | b'2/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eejeeeejeee. Give prob of sequence je.\n' | b'9/55\n' | b'Two letters picked without replacement from eejeeeejeee. Give prob of sequence je.\n' | b'9/55\n' | deepmind/math_dataset |
b'What is prob of picking 4 h when four letters picked without replacement from hchhchhccc?\n' | b'1/42\n' | b'What is prob of picking 4 h when four letters picked without replacement from hchhchhccc?\n' | b'1/42\n' | deepmind/math_dataset |
b'Let k(w) = -w + 3 - 2*w + 2*w. Give k(-3).\n' | b'6\n' | b'Let k(w) = -w + 3 - 2*w + 2*w. Give k(-3).\n' | b'6\n' | deepmind/math_dataset |
b'Let s be 2 + (-3)/1 + 5 + -2. Find the second derivative of 29*r**s - 4*r - 99 + 100 - 3*r**3 - 40*r**2 wrt r.\n' | b'-18*r - 22\n' | b'Let s be 2 + (-3)/1 + 5 + -2. Find the second derivative of 29*r**s - 4*r - 99 + 100 - 3*r**3 - 40*r**2 wrt r.\n' | b'-18*r - 22\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 3 p when four letters picked without replacement from upprzrjpjprp?\n' | b'2/99\n' | b'What is prob of picking 1 u and 3 p when four letters picked without replacement from upprzrjpjprp?\n' | b'2/99\n' | deepmind/math_dataset |
b'Let i(s) be the third derivative of -s**4/8 - s**3/2 + 3*s**2. What is the derivative of i(q) wrt q?\n' | b'-3\n' | b'Let i(s) be the third derivative of -s**4/8 - s**3/2 + 3*s**2. What is the derivative of i(q) wrt q?\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 2 u when two letters picked without replacement from yxxyxyuxu?\n' | b'1/36\n' | b'What is prob of picking 2 u when two letters picked without replacement from yxxyxyuxu?\n' | b'1/36\n' | deepmind/math_dataset |
b'Suppose 0 = -7*b - 2*b + 18. Solve b*x - 8 = -4*m - 0, -3*x = -m - 5 for x.\n' | b'2\n' | b'Suppose 0 = -7*b - 2*b + 18. Solve b*x - 8 = -4*m - 0, -3*x = -m - 5 for x.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify j*j**(-16)*j*(j*(j*j**(-39))/j)/j*j**29*(j*j/(j*j/(j/(j**(-1/47)/j))))/j assuming j is positive.\n' | b'j**(-1080/47)\n' | b'Simplify j*j**(-16)*j*(j*(j*j**(-39))/j)/j*j**29*(j*j/(j*j/(j/(j**(-1/47)/j))))/j assuming j is positive.\n' | b'j**(-1080/47)\n' | deepmind/math_dataset |
b'Let m(p) be the second derivative of 21*p**6/10 + 315*p**2/2 + 11*p - 8. Differentiate m(n) wrt n.\n' | b'252*n**3\n' | b'Let m(p) be the second derivative of 21*p**6/10 + 315*p**2/2 + 11*p - 8. Differentiate m(n) wrt n.\n' | b'252*n**3\n' | deepmind/math_dataset |
b'What is prob of picking 4 n when four letters picked without replacement from onoooonnnonoo?\n' | b'1/143\n' | b'What is prob of picking 4 n when four letters picked without replacement from onoooonnnonoo?\n' | b'1/143\n' | deepmind/math_dataset |
b'Simplify b**(20/7)/b**40 assuming b is positive.\n' | b'b**(-260/7)\n' | b'Simplify b**(20/7)/b**40 assuming b is positive.\n' | b'b**(-260/7)\n' | deepmind/math_dataset |
b'Suppose 0 = -3*t + 8*f - 3*f, -2*t = 2*f. Solve t = -3*l - l - 8, -2*p + 14 = -4*l for p.\n' | b'3\n' | b'Suppose 0 = -3*t + 8*f - 3*f, -2*t = 2*f. Solve t = -3*l - l - 8, -2*p + 14 = -4*l for p.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q and 1 a when three letters picked without replacement from {q: 7, a: 5, x: 1}.\n' | b'105/286\n' | b'Calculate prob of picking 2 q and 1 a when three letters picked without replacement from {q: 7, a: 5, x: 1}.\n' | b'105/286\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 1 m when two letters picked without replacement from {m: 1, k: 4, p: 2, j: 7, h: 3}.\n' | b'1/34\n' | b'Calculate prob of picking 1 k and 1 m when two letters picked without replacement from {m: 1, k: 4, p: 2, j: 7, h: 3}.\n' | b'1/34\n' | deepmind/math_dataset |
b'Let r(b) = 4*b + 1. Let w be r(1). Let x(d) = 1 - 6*d + 1 - 4 + d**2. Let h(u) = u**2 - 6*u - 1. Let g(j) = -4*h(j) + 3*x(j). Give g(w).\n' | b'3\n' | b'Let r(b) = 4*b + 1. Let w be r(1). Let x(d) = 1 - 6*d + 1 - 4 + d**2. Let h(u) = u**2 - 6*u - 1. Let g(j) = -4*h(j) + 3*x(j). Give g(w).\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 0*f = -f + 27. Suppose 5*z - 8 - f = 0. Let p(h) = -h + 10. Let k be p(z). Solve 5*m = k*w - 2 + 3, 0 = 4*m - 4*w - 4 for m.\n' | b'-1\n' | b'Suppose 0*f = -f + 27. Suppose 5*z - 8 - f = 0. Let p(h) = -h + 10. Let k be p(z). Solve 5*m = k*w - 2 + 3, 0 = 4*m - 4*w - 4 for m.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence sgg when three letters picked without replacement from ssxsrsgrpsgrppg?\n' | b'1/91\n' | b'What is prob of sequence sgg when three letters picked without replacement from ssxsrsgrpsgrppg?\n' | b'1/91\n' | deepmind/math_dataset |
b'What is prob of picking 1 d and 1 s when two letters picked without replacement from {j: 2, d: 6, f: 3, i: 5, s: 1, q: 2}?\n' | b'2/57\n' | b'What is prob of picking 1 d and 1 s when two letters picked without replacement from {j: 2, d: 6, f: 3, i: 5, s: 1, q: 2}?\n' | b'2/57\n' | deepmind/math_dataset |
b'What is prob of picking 2 t when two letters picked without replacement from ttt?\n' | b'1\n' | b'What is prob of picking 2 t when two letters picked without replacement from ttt?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -66*w - 94*w + 1120 = 0. Let y(d) = -d**2 + 7*d - 9. Give y(w).\n' | b'-9\n' | b'Suppose -66*w - 94*w + 1120 = 0. Let y(d) = -d**2 + 7*d - 9. Give y(w).\n' | b'-9\n' | deepmind/math_dataset |
b'Let p(j) = -15*j**3 - 4*j**2 - 15*j**3 + 42*j**3 + 2*j**2 - 11*j**3 + 3*j. Determine p(2).\n' | b'6\n' | b'Let p(j) = -15*j**3 - 4*j**2 - 15*j**3 + 42*j**3 + 2*j**2 - 11*j**3 + 3*j. Determine p(2).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((a**36*a)/a)**(-44) assuming a is positive.\n' | b'a**(-1584)\n' | b'Simplify ((a**36*a)/a)**(-44) assuming a is positive.\n' | b'a**(-1584)\n' | deepmind/math_dataset |
b'Let t = -5 + 10. Let u = t - 2. Let b(l) = l - 1. Give b(u).\n' | b'2\n' | b'Let t = -5 + 10. Let u = t - 2. Let b(l) = l - 1. Give b(u).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((n/(n*(n*n*n/(n/(n**(1/4)/n))*n)/n))/(n**(-6)/n))**34/(n**1/n**(-3)*(n/((n/n**(-3/2)*n*n)/n))/n**(6/11)) assuming n is positive.\n' | b'n**(2140/11)\n' | b'Simplify ((n/(n*(n*n*n/(n/(n**(1/4)/n))*n)/n))/(n**(-6)/n))**34/(n**1/n**(-3)*(n/((n/n**(-3/2)*n*n)/n))/n**(6/11)) assuming n is positive.\n' | b'n**(2140/11)\n' | deepmind/math_dataset |
b'Suppose 31*r = 22*r + 154 + 26. Solve -5*o - 3*p = -r, -3*p + 14 = 341*o - 342*o for o.\n' | b'1\n' | b'Suppose 31*r = 22*r + 154 + 26. Solve -5*o - 3*p = -r, -3*p + 14 = 341*o - 342*o for o.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 4, r: 1, x: 3}. Give prob of sequence wrxx.\n' | b'1/70\n' | b'Four letters picked without replacement from {w: 4, r: 1, x: 3}. Give prob of sequence wrxx.\n' | b'1/70\n' | deepmind/math_dataset |
b'Simplify (g**(2/85)*g*((((g/(((g/(g*g**(-1/11)))/g*g)/g)*g)/g)/g)/g)/g)/(g/g**(-1/57))**31 assuming g is positive.\n' | b'g**(-1684721/53295)\n' | b'Simplify (g**(2/85)*g*((((g/(((g/(g*g**(-1/11)))/g*g)/g)*g)/g)/g)/g)/g)/(g/g**(-1/57))**31 assuming g is positive.\n' | b'g**(-1684721/53295)\n' | deepmind/math_dataset |
b'Let j be 24/5*(-40)/(-16). What is the first derivative of 24 + 3*i - 21 - j*i wrt i?\n' | b'-9\n' | b'Let j be 24/5*(-40)/(-16). What is the first derivative of 24 + 3*i - 21 - j*i wrt i?\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify (i**(1/5)*i)**(-39) assuming i is positive.\n' | b'i**(-234/5)\n' | b'Simplify (i**(1/5)*i)**(-39) assuming i is positive.\n' | b'i**(-234/5)\n' | deepmind/math_dataset |
b'Let g = -107 - -108. Solve -s + 2*s - a - 5 = 0, g = -3*s - a for s.\n' | b'1\n' | b'Let g = -107 - -108. Solve -s + 2*s - a - 5 = 0, g = -3*s - a for s.\n' | b'1\n' | deepmind/math_dataset |
b'Let i = 125 + -124. Solve -4*d - 7 = -5*b, 0*b + 2*d = b + i for b.\n' | b'3\n' | b'Let i = 125 + -124. Solve -4*d - 7 = -5*b, 0*b + 2*d = b + i for b.\n' | b'3\n' | deepmind/math_dataset |
b'Let x(a) be the first derivative of -8*a**2 - 59*a - 9. Let y be x(-4). Solve -3*v = 2*v + y*q, 15 = -5*q for v.\n' | b'3\n' | b'Let x(a) be the first derivative of -8*a**2 - 59*a - 9. Let y be x(-4). Solve -3*v = 2*v + y*q, 15 = -5*q for v.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (d*d**(-7/3))/(d/(d*d**(5/6))*d)*d**(-2/33)*d**(-5) assuming d is positive.\n' | b'd**(-433/66)\n' | b'Simplify (d*d**(-7/3))/(d/(d*d**(5/6))*d)*d**(-2/33)*d**(-5) assuming d is positive.\n' | b'd**(-433/66)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 1 u when two letters picked without replacement from fffffuovfvvvof.\n' | b'4/91\n' | b'Calculate prob of picking 1 v and 1 u when two letters picked without replacement from fffffuovfvvvof.\n' | b'4/91\n' | deepmind/math_dataset |
b'Suppose 2 = 6*j - 4. Let n(g) = 3 + j - 2*g - 5 + 3*g. What is n(6)?\n' | b'5\n' | b'Suppose 2 = 6*j - 4. Let n(g) = 3 + j - 2*g - 5 + 3*g. What is n(6)?\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 13*g - 25*g = 132. Let h(q) = -q**2 - q. Let x(k) = 2*k**2 + 3*k + 1. Let a(j) = g*h(j) - 6*x(j). Give a(-4).\n' | b'6\n' | b'Suppose 13*g - 25*g = 132. Let h(q) = -q**2 - q. Let x(k) = 2*k**2 + 3*k + 1. Let a(j) = g*h(j) - 6*x(j). Give a(-4).\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ukkukcpkkqpgp. Give prob of picking 2 u.\n' | b'1/78\n' | b'Two letters picked without replacement from ukkukcpkkqpgp. Give prob of picking 2 u.\n' | b'1/78\n' | deepmind/math_dataset |
b'Let q(i) be the second derivative of -i**4/12 - 4*i**3/3 - i**2/2 + 769*i. Let y(z) = z**2 + 7*z + 5. Let t be y(-5). What is q(t)?\n' | b'14\n' | b'Let q(i) be the second derivative of -i**4/12 - 4*i**3/3 - i**2/2 + 769*i. Let y(z) = z**2 + 7*z + 5. Let t be y(-5). What is q(t)?\n' | b'14\n' | deepmind/math_dataset |
b'Three letters picked without replacement from apbpbbbpubbpzbuub. Give prob of picking 2 u and 1 z.\n' | b'3/680\n' | b'Three letters picked without replacement from apbpbbbpubbpzbuub. Give prob of picking 2 u and 1 z.\n' | b'3/680\n' | deepmind/math_dataset |
b'Calculate prob of sequence klll when four letters picked without replacement from {l: 4, e: 3, h: 1, k: 2}.\n' | b'1/105\n' | b'Calculate prob of sequence klll when four letters picked without replacement from {l: 4, e: 3, h: 1, k: 2}.\n' | b'1/105\n' | deepmind/math_dataset |
b'What is prob of picking 2 n when two letters picked without replacement from {n: 6, p: 13}?\n' | b'5/57\n' | b'What is prob of picking 2 n when two letters picked without replacement from {n: 6, p: 13}?\n' | b'5/57\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 4, i: 2}. What is prob of sequence yy?\n' | b'2/5\n' | b'Two letters picked without replacement from {y: 4, i: 2}. What is prob of sequence yy?\n' | b'2/5\n' | deepmind/math_dataset |
b'Simplify ((w/(w**(2/9)*w))**(-23)/((w*w**3)/(w/(w*w**(2/13)))))/((w/w**7)/w**(-2/5))**(-24) assuming w is positive.\n' | b'w**(-78064/585)\n' | b'Simplify ((w/(w**(2/9)*w))**(-23)/((w*w**3)/(w/(w*w**(2/13)))))/((w/w**7)/w**(-2/5))**(-24) assuming w is positive.\n' | b'w**(-78064/585)\n' | deepmind/math_dataset |
b'Let z(w) = w**2 + 10*w + 6. Let k be z(-9). Let h be -3*(k - (-21)/9). Solve -35 = -5*c - h*j, -c + 2*c - 5*j + 20 = 0 for c.\n' | b'5\n' | b'Let z(w) = w**2 + 10*w + 6. Let k be z(-9). Let h be -3*(k - (-21)/9). Solve -35 = -5*c - h*j, -c + 2*c - 5*j + 20 = 0 for c.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 2, i: 1, d: 4, g: 6}. Give prob of sequence sgg.\n' | b'5/143\n' | b'Three letters picked without replacement from {s: 2, i: 1, d: 4, g: 6}. Give prob of sequence sgg.\n' | b'5/143\n' | deepmind/math_dataset |
b'Let y = -10 + 40. Suppose -4*i + y = i. Let c(s) = -s**3 + 1. Let z(l) = -3*l**3 + 3. Let b(a) = i*c(a) - z(a). Differentiate b(q) with respect to q.\n' | b'-9*q**2\n' | b'Let y = -10 + 40. Suppose -4*i + y = i. Let c(s) = -s**3 + 1. Let z(l) = -3*l**3 + 3. Let b(a) = i*c(a) - z(a). Differentiate b(q) with respect to q.\n' | b'-9*q**2\n' | deepmind/math_dataset |
b'Let o(b) be the third derivative of b**5/60 - 5*b**4/12 - 17*b**3/6 - 8*b**2. Let l be o(-4). What is the first derivative of -l - 43 + 99 - 6*f**3 wrt f?\n' | b'-18*f**2\n' | b'Let o(b) be the third derivative of b**5/60 - 5*b**4/12 - 17*b**3/6 - 8*b**2. Let l be o(-4). What is the first derivative of -l - 43 + 99 - 6*f**3 wrt f?\n' | b'-18*f**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence eve when three letters picked without replacement from {u: 2, e: 2, p: 1, g: 1, v: 1}.\n' | b'1/105\n' | b'Calculate prob of sequence eve when three letters picked without replacement from {u: 2, e: 2, p: 1, g: 1, v: 1}.\n' | b'1/105\n' | deepmind/math_dataset |
b'Simplify x*x**(-2/45)*x*x**(3/5)*(x**(-6/11))**(-1/15) assuming x is positive.\n' | b'x**(1283/495)\n' | b'Simplify x*x**(-2/45)*x*x**(3/5)*(x**(-6/11))**(-1/15) assuming x is positive.\n' | b'x**(1283/495)\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.