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'What is prob of picking 2 q when two letters picked without replacement from {p: 2, g: 4, m: 2, q: 3, b: 7}?\n' | b'1/51\n' | b'What is prob of picking 2 q when two letters picked without replacement from {p: 2, g: 4, m: 2, q: 3, b: 7}?\n' | b'1/51\n' | deepmind/math_dataset |
b'Three letters picked without replacement from llvlsvlsvllslvlvllsv. What is prob of picking 3 v?\n' | b'1/57\n' | b'Three letters picked without replacement from llvlsvlsvllslvlvllsv. What is prob of picking 3 v?\n' | b'1/57\n' | deepmind/math_dataset |
b'Calculate prob of sequence ffn when three letters picked without replacement from {c: 11, f: 5, n: 1}.\n' | b'1/204\n' | b'Calculate prob of sequence ffn when three letters picked without replacement from {c: 11, f: 5, n: 1}.\n' | b'1/204\n' | deepmind/math_dataset |
b'Let n(i) = i**2 - 2*i. Let g be n(1). Let x(s) = 1. Let k(q) be the first derivative of -2*q**2 + 2*q + 2. Let h(m) = g*k(m) + 5*x(m). Determine h(-2).\n' | b'-5\n' | b'Let n(i) = i**2 - 2*i. Let g be n(1). Let x(s) = 1. Let k(q) be the first derivative of -2*q**2 + 2*q + 2. Let h(m) = g*k(m) + 5*x(m). Determine h(-2).\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 4, p: 6}. What is prob of picking 2 p?\n' | b'1/3\n' | b'Two letters picked without replacement from {z: 4, p: 6}. What is prob of picking 2 p?\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify a**(-2/19)*a/a**27*a assuming a is positive.\n' | b'a**(-477/19)\n' | b'Simplify a**(-2/19)*a/a**27*a assuming a is positive.\n' | b'a**(-477/19)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wwaimbimwziz. Give prob of picking 1 z and 1 a.\n' | b'1/33\n' | b'Two letters picked without replacement from wwaimbimwziz. Give prob of picking 1 z and 1 a.\n' | b'1/33\n' | deepmind/math_dataset |
b'What is prob of picking 1 n and 1 y when two letters picked without replacement from nynyynnnnn?\n' | b'7/15\n' | b'What is prob of picking 1 n and 1 y when two letters picked without replacement from nynyynnnnn?\n' | b'7/15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {c: 2, u: 3, h: 7, v: 4, g: 1}. What is prob of sequence ghuc?\n' | b'1/1360\n' | b'Four letters picked without replacement from {c: 2, u: 3, h: 7, v: 4, g: 1}. What is prob of sequence ghuc?\n' | b'1/1360\n' | deepmind/math_dataset |
b'Simplify ((b/(b**(1/4)*b)*b*b**(4/3)/b)/(b*b*b**1)**(1/3))**(4/5) assuming b is positive.\n' | b'b**(1/15)\n' | b'Simplify ((b/(b**(1/4)*b)*b*b**(4/3)/b)/(b*b*b**1)**(1/3))**(4/5) assuming b is positive.\n' | b'b**(1/15)\n' | deepmind/math_dataset |
b'Suppose y = -22*y + 345. Solve c - t = -4*c + 18, 0 = 2*c - 3*t - y for c.\n' | b'3\n' | b'Suppose y = -22*y + 345. Solve c - t = -4*c + 18, 0 = 2*c - 3*t - y for c.\n' | b'3\n' | deepmind/math_dataset |
b'Let g = 117 + -115. Solve -g*k - k + b = -3, -4*b - 1 = -k for k.\n' | b'1\n' | b'Let g = 117 + -115. Solve -g*k - k + b = -3, -4*b - 1 = -k for k.\n' | b'1\n' | deepmind/math_dataset |
b'Let a(c) be the third derivative of 0*c**5 + 0*c + 0 + 9/70*c**7 - 17*c**2 + 0*c**6 + 0*c**3 + 1/12*c**4. Find the second derivative of a(k) wrt k.\n' | b'324*k**2\n' | b'Let a(c) be the third derivative of 0*c**5 + 0*c + 0 + 9/70*c**7 - 17*c**2 + 0*c**6 + 0*c**3 + 1/12*c**4. Find the second derivative of a(k) wrt k.\n' | b'324*k**2\n' | deepmind/math_dataset |
b'Let j(v) = -v**2 - 34*v - 13. Let g be j(-33). Solve 0 = 3*n - u - u - 7, 5*u = g for n.\n' | b'5\n' | b'Let j(v) = -v**2 - 34*v - 13. Let g be j(-33). Solve 0 = 3*n - u - u - 7, 5*u = g for n.\n' | b'5\n' | deepmind/math_dataset |
b'Let k = 39 - 36. Solve -5*j = -3*b + 24, 0 = -2*b - k*b + 4*j + 27 for b.\n' | b'3\n' | b'Let k = 39 - 36. Solve -5*j = -3*b + 24, 0 = -2*b - k*b + 4*j + 27 for b.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((m*m**(27/2)*m*m)/m*m/(m*m*m**(-23)*m*m)*(m*m*m**(5/2))**(-2/67))**(18/11) assuming m is positive.\n' | b'm**(42651/737)\n' | b'Simplify ((m*m**(27/2)*m*m)/m*m/(m*m*m**(-23)*m*m)*(m*m*m**(5/2))**(-2/67))**(18/11) assuming m is positive.\n' | b'm**(42651/737)\n' | deepmind/math_dataset |
b'Let h(p) = 49*p - 11. Let m(i) = 99*i - 23. Let g(z) = 13*h(z) - 6*m(z). Let q(l) = 15*l - 2. Let v(d) = 3*g(d) - 8*q(d). Determine v(1).\n' | b'10\n' | b'Let h(p) = 49*p - 11. Let m(i) = 99*i - 23. Let g(z) = 13*h(z) - 6*m(z). Let q(l) = 15*l - 2. Let v(d) = 3*g(d) - 8*q(d). Determine v(1).\n' | b'10\n' | deepmind/math_dataset |
b'Calculate prob of sequence he when two letters picked without replacement from {h: 2, e: 2, i: 10}.\n' | b'2/91\n' | b'Calculate prob of sequence he when two letters picked without replacement from {h: 2, e: 2, i: 10}.\n' | b'2/91\n' | deepmind/math_dataset |
b'Simplify (d**0*d)**10*d**(-6)*(d*d**0)/d assuming d is positive.\n' | b'd**4\n' | b'Simplify (d**0*d)**10*d**(-6)*(d*d**0)/d assuming d is positive.\n' | b'd**4\n' | deepmind/math_dataset |
b'Let n(z) = 3*z - 2*z - 65436 + 65437. Suppose w = -0*w + 2. Calculate n(w).\n' | b'3\n' | b'Let n(z) = 3*z - 2*z - 65436 + 65437. Suppose w = -0*w + 2. Calculate n(w).\n' | b'3\n' | deepmind/math_dataset |
b'Let b(o) = o + 2. Let n = -29 - -29. Give b(n).\n' | b'2\n' | b'Let b(o) = o + 2. Let n = -29 - -29. Give b(n).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (a**9/a**0*(a*a*a**(-2/13))/(a/(a*a/a**15)))**(-1/18) assuming a is positive.\n' | b'a**(41/234)\n' | b'Simplify (a**9/a**0*(a*a*a**(-2/13))/(a/(a*a/a**15)))**(-1/18) assuming a is positive.\n' | b'a**(41/234)\n' | deepmind/math_dataset |
b'Let n = -16217 - -16226. Solve -16 = -4*l + k, 2*l + k - n = 5 for l.\n' | b'5\n' | b'Let n = -16217 - -16226. Solve -16 = -4*l + k, 2*l + k - n = 5 for l.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 0 = -18*k + 10*k + 624. Find the second derivative of k*w**2 - 29*w + 69 - 39*w - 67 wrt w.\n' | b'156\n' | b'Suppose 0 = -18*k + 10*k + 624. Find the second derivative of k*w**2 - 29*w + 69 - 39*w - 67 wrt w.\n' | b'156\n' | deepmind/math_dataset |
b'Let r(w) = 20*w**3 - 7*w - 15. Let z be 15/(-20) + (-36)/16. Let b(c) = 10*c**3 - 3*c - 8. Let q(m) = z*r(m) + 7*b(m). Differentiate q(v) wrt v.\n' | b'30*v**2\n' | b'Let r(w) = 20*w**3 - 7*w - 15. Let z be 15/(-20) + (-36)/16. Let b(c) = 10*c**3 - 3*c - 8. Let q(m) = z*r(m) + 7*b(m). Differentiate q(v) wrt v.\n' | b'30*v**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z and 1 p when two letters picked without replacement from nvzpa.\n' | b'1/10\n' | b'Calculate prob of picking 1 z and 1 p when two letters picked without replacement from nvzpa.\n' | b'1/10\n' | deepmind/math_dataset |
b'What is prob of sequence fwfp when four letters picked without replacement from ffpfpqqffwqppfp?\n' | b'5/1092\n' | b'What is prob of sequence fwfp when four letters picked without replacement from ffpfpqqffwqppfp?\n' | b'5/1092\n' | deepmind/math_dataset |
b'Calculate prob of sequence yr when two letters picked without replacement from {y: 4, c: 7, r: 5}.\n' | b'1/12\n' | b'Calculate prob of sequence yr when two letters picked without replacement from {y: 4, c: 7, r: 5}.\n' | b'1/12\n' | deepmind/math_dataset |
b'Simplify (z**1)**23/(z*z*z*z**(-2/3))**(-35) assuming z is positive.\n' | b'z**(314/3)\n' | b'Simplify (z**1)**23/(z*z*z*z**(-2/3))**(-35) assuming z is positive.\n' | b'z**(314/3)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a, 1 y, and 1 p when three letters picked without replacement from tphwahwyhhahpww.\n' | b'4/455\n' | b'Calculate prob of picking 1 a, 1 y, and 1 p when three letters picked without replacement from tphwahwyhhahpww.\n' | b'4/455\n' | deepmind/math_dataset |
b'Simplify (x/(x/(x**(2/7)*x)))**(-1/4)/(x**(-4)/((x**(-2/3)/x)/x))*x/x**2*x/x**(2/5)*(x*x/((x*x/x**(2/5)*x*x)/x))/x**(-1/2) assuming x is positive.\n' | b'x**(43/84)\n' | b'Simplify (x/(x/(x**(2/7)*x)))**(-1/4)/(x**(-4)/((x**(-2/3)/x)/x))*x/x**2*x/x**(2/5)*(x*x/((x*x/x**(2/5)*x*x)/x))/x**(-1/2) assuming x is positive.\n' | b'x**(43/84)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ckk when three letters picked without replacement from kcccck.\n' | b'1/15\n' | b'Calculate prob of sequence ckk when three letters picked without replacement from kcccck.\n' | b'1/15\n' | deepmind/math_dataset |
b'What is prob of picking 2 l and 1 p when three letters picked without replacement from lpllllpllllplplllp?\n' | b'65/136\n' | b'What is prob of picking 2 l and 1 p when three letters picked without replacement from lpllllpllllplplllp?\n' | b'65/136\n' | deepmind/math_dataset |
b'What is prob of picking 1 x, 1 v, and 1 u when three letters picked without replacement from xnnnxvunuvv?\n' | b'4/55\n' | b'What is prob of picking 1 x, 1 v, and 1 u when three letters picked without replacement from xnnnxvunuvv?\n' | b'4/55\n' | deepmind/math_dataset |
b'Simplify (f**(1/9))**(-14/5)*(f*f**(2/25)*f*f)/f**(-1) assuming f is positive.\n' | b'f**(848/225)\n' | b'Simplify (f**(1/9))**(-14/5)*(f*f**(2/25)*f*f)/f**(-1) assuming f is positive.\n' | b'f**(848/225)\n' | deepmind/math_dataset |
b'Let n(u) = -2*u**2 + 2*u**2 - 3 - u**2 - 4*u. Suppose -2*p - 25 = 5*l, p + 2*p + 12 = l. Let o be n(l). Solve -3*i - 3*z - 2*z + 34 = o, -i + 3*z = 12 for i.\n' | b'3\n' | b'Let n(u) = -2*u**2 + 2*u**2 - 3 - u**2 - 4*u. Suppose -2*p - 25 = 5*l, p + 2*p + 12 = l. Let o be n(l). Solve -3*i - 3*z - 2*z + 34 = o, -i + 3*z = 12 for i.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((m/m**(2/5)*m*m)**(-2/3)/(m**(2/11)*m**(-2/7)/m))/((((m/m**(1/3))/m)/((m*m*m**(-4/3))/m*m))/(m*m*m**(1/4))**(-1/53)) assuming m is positive.\n' | b'm**(80341/244860)\n' | b'Simplify ((m/m**(2/5)*m*m)**(-2/3)/(m**(2/11)*m**(-2/7)/m))/((((m/m**(1/3))/m)/((m*m*m**(-4/3))/m*m))/(m*m*m**(1/4))**(-1/53)) assuming m is positive.\n' | b'm**(80341/244860)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 1 o when two letters picked without replacement from {q: 1, o: 4, w: 2}.\n' | b'8/21\n' | b'Calculate prob of picking 1 w and 1 o when two letters picked without replacement from {q: 1, o: 4, w: 2}.\n' | b'8/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 3, p: 1, l: 4}. Give prob of sequence kl.\n' | b'3/14\n' | b'Two letters picked without replacement from {k: 3, p: 1, l: 4}. Give prob of sequence kl.\n' | b'3/14\n' | deepmind/math_dataset |
b'What is prob of picking 3 u when three letters picked without replacement from {u: 7, r: 2, n: 6}?\n' | b'1/13\n' | b'What is prob of picking 3 u when three letters picked without replacement from {u: 7, r: 2, n: 6}?\n' | b'1/13\n' | deepmind/math_dataset |
b'Simplify (o*o/o**(-1/13))/o**(-1/8)*(o*o**(4/11))**(2/77) assuming o is positive.\n' | b'o**(197083/88088)\n' | b'Simplify (o*o/o**(-1/13))/o**(-1/8)*(o*o**(4/11))**(2/77) assuming o is positive.\n' | b'o**(197083/88088)\n' | deepmind/math_dataset |
b'Simplify ((p**(-6)/p)/p)**11 assuming p is positive.\n' | b'p**(-88)\n' | b'Simplify ((p**(-6)/p)/p)**11 assuming p is positive.\n' | b'p**(-88)\n' | deepmind/math_dataset |
b'What is prob of sequence hhr when three letters picked without replacement from {n: 4, a: 1, h: 3, o: 1, d: 4, r: 1}?\n' | b'1/364\n' | b'What is prob of sequence hhr when three letters picked without replacement from {n: 4, a: 1, h: 3, o: 1, d: 4, r: 1}?\n' | b'1/364\n' | deepmind/math_dataset |
b'What is prob of sequence fzfl when four letters picked without replacement from loflflqflqz?\n' | b'1/330\n' | b'What is prob of sequence fzfl when four letters picked without replacement from loflflqflqz?\n' | b'1/330\n' | deepmind/math_dataset |
b'What is prob of sequence mbbk when four letters picked without replacement from mkkkkkkkmkmnkkkkbbbb?\n' | b'6/1615\n' | b'What is prob of sequence mbbk when four letters picked without replacement from mkkkkkkkmkmnkkkkbbbb?\n' | b'6/1615\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bssbbbtt. What is prob of picking 1 b and 1 s?\n' | b'2/7\n' | b'Two letters picked without replacement from bssbbbtt. What is prob of picking 1 b and 1 s?\n' | b'2/7\n' | deepmind/math_dataset |
b'Let y(h) = 108*h**2 + 5*h - 48 - 222*h**2 + 113*h**2 - 17*h. Give y(-7).\n' | b'-13\n' | b'Let y(h) = 108*h**2 + 5*h - 48 - 222*h**2 + 113*h**2 - 17*h. Give y(-7).\n' | b'-13\n' | deepmind/math_dataset |
b'Suppose -27 = -4*o + o. Suppose -4*r + 33 = o. Suppose r = -t + 4*t. Solve 4*f - 13 = -3*m, -2*m + f + 7 - t = 0 for m.\n' | b'3\n' | b'Suppose -27 = -4*o + o. Suppose -4*r + 33 = o. Suppose r = -t + 4*t. Solve 4*f - 13 = -3*m, -2*m + f + 7 - t = 0 for m.\n' | b'3\n' | deepmind/math_dataset |
b'Let k(y) = -y**3 - 2*y**2 - y + 1. Let s = 49 - 51. What is k(s)?\n' | b'3\n' | b'Let k(y) = -y**3 - 2*y**2 - y + 1. Let s = 49 - 51. What is k(s)?\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -2*w - 4*p + 4 = -3*w, -4*p = -2*w. Let s(r) = -290*r - 52484. Let x be s(-181). Solve l = -d - x, 2*l - 2*d - 4 = w for l.\n' | b'-1\n' | b'Suppose -2*w - 4*p + 4 = -3*w, -4*p = -2*w. Let s(r) = -290*r - 52484. Let x be s(-181). Solve l = -d - x, 2*l - 2*d - 4 = w for l.\n' | b'-1\n' | deepmind/math_dataset |
b'Let g(b) be the first derivative of -9*b**2/2 - 11*b + 820. What is g(5)?\n' | b'-56\n' | b'Let g(b) be the first derivative of -9*b**2/2 - 11*b + 820. What is g(5)?\n' | b'-56\n' | deepmind/math_dataset |
b'What is prob of sequence sssn when four letters picked without replacement from {s: 14, n: 4}?\n' | b'91/765\n' | b'What is prob of sequence sssn when four letters picked without replacement from {s: 14, n: 4}?\n' | b'91/765\n' | deepmind/math_dataset |
b'Suppose 1 = -c + 7. Let k be 1/(c/9)*(-24)/(-18). Find the second derivative of 16*x**k - x + 0*x**2 - 11*x wrt x.\n' | b'32\n' | b'Suppose 1 = -c + 7. Let k be 1/(c/9)*(-24)/(-18). Find the second derivative of 16*x**k - x + 0*x**2 - 11*x wrt x.\n' | b'32\n' | deepmind/math_dataset |
b'Let k(i) be the first derivative of -17/3*i**3 + 0*i**2 - 15 + 5*i. What is the first derivative of k(l) wrt l?\n' | b'-34*l\n' | b'Let k(i) be the first derivative of -17/3*i**3 + 0*i**2 - 15 + 5*i. What is the first derivative of k(l) wrt l?\n' | b'-34*l\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 5, f: 15}. What is prob of sequence ff?\n' | b'21/38\n' | b'Two letters picked without replacement from {b: 5, f: 15}. What is prob of sequence ff?\n' | b'21/38\n' | deepmind/math_dataset |
b'Let o(d) = d**3 + 5*d**2 + d - 3. Let m be o(-2). Let x(s) be the first derivative of -3 - 7*s + 1/2*s**2. Determine x(m).\n' | b'0\n' | b'Let o(d) = d**3 + 5*d**2 + d - 3. Let m be o(-2). Let x(s) be the first derivative of -3 - 7*s + 1/2*s**2. Determine x(m).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (u*u**(-2/3)*(u**(-2/13)*u)/u)/((u*u**1)/(u**(-2)*u)) assuming u is positive.\n' | b'u**(-110/39)\n' | b'Simplify (u*u**(-2/3)*(u**(-2/13)*u)/u)/((u*u**1)/(u**(-2)*u)) assuming u is positive.\n' | b'u**(-110/39)\n' | deepmind/math_dataset |
b'Let r(g) = 314*g**2 - g - 135. Let s(f) = -313*f**2 + 139. Let m(y) = 2*r(y) + 3*s(y). Differentiate m(z) with respect to z.\n' | b'-622*z - 2\n' | b'Let r(g) = 314*g**2 - g - 135. Let s(f) = -313*f**2 + 139. Let m(y) = 2*r(y) + 3*s(y). Differentiate m(z) with respect to z.\n' | b'-622*z - 2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 1, a: 1, f: 3}. What is prob of sequence fqf?\n' | b'1/10\n' | b'Three letters picked without replacement from {q: 1, a: 1, f: 3}. What is prob of sequence fqf?\n' | b'1/10\n' | deepmind/math_dataset |
b'What is prob of picking 1 l, 1 x, and 1 o when three letters picked without replacement from {o: 4, x: 2, v: 2, h: 4, w: 7, l: 1}?\n' | b'2/285\n' | b'What is prob of picking 1 l, 1 x, and 1 o when three letters picked without replacement from {o: 4, x: 2, v: 2, h: 4, w: 7, l: 1}?\n' | b'2/285\n' | deepmind/math_dataset |
b'Simplify (w**(-1/3)*w*(w/w**(-2/7))/w)**(-2/43) assuming w is positive.\n' | b'w**(-40/903)\n' | b'Simplify (w**(-1/3)*w*(w/w**(-2/7))/w)**(-2/43) assuming w is positive.\n' | b'w**(-40/903)\n' | deepmind/math_dataset |
b'Simplify ((m**(3/2)*m*(m**(1/18)*m)/m)**29)**(3/47) assuming m is positive.\n' | b'm**(667/141)\n' | b'Simplify ((m**(3/2)*m*(m**(1/18)*m)/m)**29)**(3/47) assuming m is positive.\n' | b'm**(667/141)\n' | deepmind/math_dataset |
b'Let k = -37 + 55. Let r = k + -18. Solve -5*c + 2*b = 16, -4*c + r = 5*b - 7 for c.\n' | b'-2\n' | b'Let k = -37 + 55. Let r = k + -18. Solve -5*c + 2*b = 16, -4*c + r = 5*b - 7 for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Let o(l) be the third derivative of 0*l**5 + 0 - 1/8*l**4 - 1/40*l**6 + 3*l - 1/3*l**3 + 2/21*l**7 - 4*l**2. Find the second derivative of o(b) wrt b.\n' | b'240*b**2 - 18*b\n' | b'Let o(l) be the third derivative of 0*l**5 + 0 - 1/8*l**4 - 1/40*l**6 + 3*l - 1/3*l**3 + 2/21*l**7 - 4*l**2. Find the second derivative of o(b) wrt b.\n' | b'240*b**2 - 18*b\n' | deepmind/math_dataset |
b'Let z(h) = 6*h**2 - 2*h + 5. Let l be z(5). Suppose 4 = 147*j - l*j. Solve -3*a + 11 = n - 0, 6 = -2*a + j*n for a.\n' | b'2\n' | b'Let z(h) = 6*h**2 - 2*h + 5. Let l be z(5). Suppose 4 = 147*j - l*j. Solve -3*a + 11 = n - 0, 6 = -2*a + j*n for a.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from sfuskaaf. What is prob of picking 1 k, 1 s, and 1 a?\n' | b'1/14\n' | b'Three letters picked without replacement from sfuskaaf. What is prob of picking 1 k, 1 s, and 1 a?\n' | b'1/14\n' | deepmind/math_dataset |
b'Let d be -1 + -1 - (-44 + -1). Let h = d + -13. Solve -5*j = 5*p + h, 5*j - 4*p = j for j.\n' | b'-3\n' | b'Let d be -1 + -1 - (-44 + -1). Let h = d + -13. Solve -5*j = 5*p + h, 5*j - 4*p = j for j.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -1 + 5 = -4*y - 5*x, 0 = 3*y - 4*x - 28. What is the first derivative of -11 - y*p - 4*p + 22 + 17 wrt p?\n' | b'-8\n' | b'Suppose -1 + 5 = -4*y - 5*x, 0 = 3*y - 4*x - 28. What is the first derivative of -11 - y*p - 4*p + 22 + 17 wrt p?\n' | b'-8\n' | deepmind/math_dataset |
b'Let c(q) be the first derivative of -7/6*q**3 - q**2 + 1/12*q**4 + 0*q + 3. Let s(j) be the second derivative of c(j). Calculate s(6).\n' | b'5\n' | b'Let c(q) be the first derivative of -7/6*q**3 - q**2 + 1/12*q**4 + 0*q + 3. Let s(j) be the second derivative of c(j). Calculate s(6).\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 1, q: 3}. Give prob of picking 2 q.\n' | b'1/2\n' | b'Two letters picked without replacement from {f: 1, q: 3}. Give prob of picking 2 q.\n' | b'1/2\n' | deepmind/math_dataset |
b'Suppose -5*r = -l - 0*l - 3, l - 6 = -4*r. Find the third derivative of -873*w**5 + 3*w**3 + 4*w**2 - 11*w**l + 880*w**5 - 27*w**2 wrt w.\n' | b'420*w**2 + 18\n' | b'Suppose -5*r = -l - 0*l - 3, l - 6 = -4*r. Find the third derivative of -873*w**5 + 3*w**3 + 4*w**2 - 11*w**l + 880*w**5 - 27*w**2 wrt w.\n' | b'420*w**2 + 18\n' | deepmind/math_dataset |
b'Let c be (-2)/5 + (-9)/30*-78. Solve 28 - 2 = 2*o - 4*y, 0 = -o + 4*y + c for o.\n' | b'3\n' | b'Let c be (-2)/5 + (-9)/30*-78. Solve 28 - 2 = 2*o - 4*y, 0 = -o + 4*y + c for o.\n' | b'3\n' | deepmind/math_dataset |
b'Let d(i) = -i + 1. Let r(l) = -l**2 - 6*l - 20. Let g be r(-4). What is d(g)?\n' | b'13\n' | b'Let d(i) = -i + 1. Let r(l) = -l**2 - 6*l - 20. Let g be r(-4). What is d(g)?\n' | b'13\n' | deepmind/math_dataset |
b'Simplify ((x/x**(2/43))/((x*x**34)/x)*(x/(x**(-1/16)*x*x))**(1/41))**(-2/173) assuming x is positive.\n' | b'x**(932821/2439992)\n' | b'Simplify ((x/x**(2/43))/((x*x**34)/x)*(x/(x**(-1/16)*x*x))**(1/41))**(-2/173) assuming x is positive.\n' | b'x**(932821/2439992)\n' | deepmind/math_dataset |
b'Let m = 266 - 252. Suppose -m*z + 5*z = -18. Let i be 1 + (0 - (-1 + 0)). Solve i*y = -l - 7, z*l = 3*y - 0*y for y.\n' | b'-2\n' | b'Let m = 266 - 252. Suppose -m*z + 5*z = -18. Let i be 1 + (0 - (-1 + 0)). Solve i*y = -l - 7, z*l = 3*y - 0*y for y.\n' | b'-2\n' | deepmind/math_dataset |
b'Let q(h) = 15*h - 41. Let l be q(3). Suppose 4*v - 5*v - 11 = -2*f, 2*f = l*v + 20. Solve -5 = -m + 2*m + 3*n, f*n + 24 = 3*m for m.\n' | b'4\n' | b'Let q(h) = 15*h - 41. Let l be q(3). Suppose 4*v - 5*v - 11 = -2*f, 2*f = l*v + 20. Solve -5 = -m + 2*m + 3*n, f*n + 24 = 3*m for m.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (z/z**(3/10))/((z*z**(2/23))/z*z)*(((z*z**(3/8)/z)/z)/z)/z**(1/4)*z**(-4)*z**(2/11)*z/(((z/(z**(-5)/z))/z)/z)*(z/z**3)/z assuming z is positive.\n' | b'z**(-132371/10120)\n' | b'Simplify (z/z**(3/10))/((z*z**(2/23))/z*z)*(((z*z**(3/8)/z)/z)/z)/z**(1/4)*z**(-4)*z**(2/11)*z/(((z/(z**(-5)/z))/z)/z)*(z/z**3)/z assuming z is positive.\n' | b'z**(-132371/10120)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ro when two letters picked without replacement from rdkdrkkkokeeo.\n' | b'1/39\n' | b'Calculate prob of sequence ro when two letters picked without replacement from rdkdrkkkokeeo.\n' | b'1/39\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vvvyyvyvvy. Give prob of sequence vy.\n' | b'4/15\n' | b'Two letters picked without replacement from vvvyyvyvvy. Give prob of sequence vy.\n' | b'4/15\n' | deepmind/math_dataset |
b'Suppose -12 = -5*g + 63. Suppose 3*j + 2*t = g, 6 = 2*t - 0*t. Suppose -j*k + 4*k - 6 = 0. Solve -4*m + 2*d = k, -m - d = m + 5 for m.\n' | b'-2\n' | b'Suppose -12 = -5*g + 63. Suppose 3*j + 2*t = g, 6 = 2*t - 0*t. Suppose -j*k + 4*k - 6 = 0. Solve -4*m + 2*d = k, -m - d = m + 5 for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (y**(1/4)*y*y*(y**19/y)/y)/((y**8/y)/y*y*y)**30 assuming y is positive.\n' | b'y**(-883/4)\n' | b'Simplify (y**(1/4)*y*y*(y**19/y)/y)/((y**8/y)/y*y*y)**30 assuming y is positive.\n' | b'y**(-883/4)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wwwhwwhhww. What is prob of picking 2 w?\n' | b'7/15\n' | b'Two letters picked without replacement from wwwhwwhhww. What is prob of picking 2 w?\n' | b'7/15\n' | deepmind/math_dataset |
b'Let i(p) be the second derivative of -156*p**7/7 - 953*p**3/6 + 152*p - 4. What is the second derivative of i(j) wrt j?\n' | b'-18720*j**3\n' | b'Let i(p) be the second derivative of -156*p**7/7 - 953*p**3/6 + 152*p - 4. What is the second derivative of i(j) wrt j?\n' | b'-18720*j**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 1, q: 1, v: 2, g: 1, c: 1, z: 1}. What is prob of sequence cg?\n' | b'1/42\n' | b'Two letters picked without replacement from {e: 1, q: 1, v: 2, g: 1, c: 1, z: 1}. What is prob of sequence cg?\n' | b'1/42\n' | deepmind/math_dataset |
b'Let z be (4 + 774/473)/((-2)/(-11)). Solve 13*g + 14 = 6*g - b, 4*g - 5*b - z = 0 for g.\n' | b'-1\n' | b'Let z be (4 + 774/473)/((-2)/(-11)). Solve 13*g + 14 = 6*g - b, 4*g - 5*b - z = 0 for g.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -4*y - 5*k = 12 + 1, -5*y + k = -20. Differentiate 227*v**3 - 252*v**y + 65 - v + v wrt v.\n' | b'-75*v**2\n' | b'Suppose -4*y - 5*k = 12 + 1, -5*y + k = -20. Differentiate 227*v**3 - 252*v**y + 65 - v + v wrt v.\n' | b'-75*v**2\n' | deepmind/math_dataset |
b'Suppose 136 = 5*t + m, 2*m - 11 = -4*t + 93. Suppose -4*g - t = -4*h, 2*h - g - 22 = 3*g. Solve 0 = h*a - 3*i, a = -5*i + 3 - 33 for a.\n' | b'-5\n' | b'Suppose 136 = 5*t + m, 2*m - 11 = -4*t + 93. Suppose -4*g - t = -4*h, 2*h - g - 22 = 3*g. Solve 0 = h*a - 3*i, a = -5*i + 3 - 33 for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((l**(-2/5))**(2/9))**29 assuming l is positive.\n' | b'l**(-116/45)\n' | b'Simplify ((l**(-2/5))**(2/9))**29 assuming l is positive.\n' | b'l**(-116/45)\n' | deepmind/math_dataset |
b'Simplify f/f**(-1/5)*f*(f**15*f)/f assuming f is positive.\n' | b'f**(86/5)\n' | b'Simplify f/f**(-1/5)*f*(f**15*f)/f assuming f is positive.\n' | b'f**(86/5)\n' | deepmind/math_dataset |
b'What is prob of sequence pip when three letters picked without replacement from {i: 13, p: 5}?\n' | b'65/1224\n' | b'What is prob of sequence pip when three letters picked without replacement from {i: 13, p: 5}?\n' | b'65/1224\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m, 1 s, and 1 q when three letters picked without replacement from cmmmqqscmqmccqszcs.\n' | b'5/68\n' | b'Calculate prob of picking 1 m, 1 s, and 1 q when three letters picked without replacement from cmmmqqscmqmccqszcs.\n' | b'5/68\n' | deepmind/math_dataset |
b'Suppose -1080 = -2*g - g. What is the derivative of -137 + 40*k + g - 164 wrt k?\n' | b'40\n' | b'Suppose -1080 = -2*g - g. What is the derivative of -137 + 40*k + g - 164 wrt k?\n' | b'40\n' | deepmind/math_dataset |
b'Suppose -4*h + 4 = -2*h. What is the third derivative of -9*t**2 - 20*t**5 - h*t**2 + 3*t**2 - t**2 wrt t?\n' | b'-1200*t**2\n' | b'Suppose -4*h + 4 = -2*h. What is the third derivative of -9*t**2 - 20*t**5 - h*t**2 + 3*t**2 - t**2 wrt t?\n' | b'-1200*t**2\n' | deepmind/math_dataset |
b'Simplify (x/x**(2/49))/((x*x**(4/5)*x*x)/x) assuming x is positive.\n' | b'x**(-451/245)\n' | b'Simplify (x/x**(2/49))/((x*x**(4/5)*x*x)/x) assuming x is positive.\n' | b'x**(-451/245)\n' | deepmind/math_dataset |
b'Suppose 21*r = 22*r - d + 1, -31 = -5*r - 4*d. Let k(b) be the second derivative of 1/3*b**r + 2*b + 2*b**2 + 0 - 1/12*b**4. Give k(-4).\n' | b'-20\n' | b'Suppose 21*r = 22*r - d + 1, -31 = -5*r - 4*d. Let k(b) be the second derivative of 1/3*b**r + 2*b + 2*b**2 + 0 - 1/12*b**4. Give k(-4).\n' | b'-20\n' | deepmind/math_dataset |
b'Simplify (((a/(a**(-12)/a)*a/(a*a**(-36)*a*a)*a)**(-39))**(-25))**17 assuming a is positive.\n' | b'a**812175\n' | b'Simplify (((a/(a**(-12)/a)*a/(a*a**(-36)*a*a)*a)**(-39))**(-25))**17 assuming a is positive.\n' | b'a**812175\n' | deepmind/math_dataset |
b'Let p = 102 + -56. Let x = -43 + p. Differentiate -3*h**x - 5 + 20 - 5*h**3 + 6*h**3 with respect to h.\n' | b'-6*h**2\n' | b'Let p = 102 + -56. Let x = -43 + p. Differentiate -3*h**x - 5 + 20 - 5*h**3 + 6*h**3 with respect to h.\n' | b'-6*h**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bbjjbbjjbbbjjj. Give prob of sequence jjb.\n' | b'7/52\n' | b'Three letters picked without replacement from bbjjbbjjbbbjjj. Give prob of sequence jjb.\n' | b'7/52\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 3, j: 2}. Give prob of picking 2 b.\n' | b'3/10\n' | b'Two letters picked without replacement from {b: 3, j: 2}. Give prob of picking 2 b.\n' | b'3/10\n' | deepmind/math_dataset |
b'Let u = -70 - 16. Let o = u - 18. Let s = 97 + o. Let h(q) = -q**3 - 6*q**2 + 8*q + 2. Give h(s).\n' | b'-5\n' | b'Let u = -70 - 16. Let o = u - 18. Let s = 97 + o. Let h(q) = -q**3 - 6*q**2 + 8*q + 2. Give h(s).\n' | b'-5\n' | deepmind/math_dataset |
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