question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Let t(v) = -2*v**2 - 1. Let f(z) = 155*z**2 - z + 6. Let i(o) = f(o) + 2*t(o). Find the second derivative of i(m) wrt m.\n' | b'302\n' | b'Let t(v) = -2*v**2 - 1. Let f(z) = 155*z**2 - z + 6. Let i(o) = f(o) + 2*t(o). Find the second derivative of i(m) wrt m.\n' | b'302\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rccnrnrncnllcrkrrd. Give prob of picking 1 d and 1 r.\n' | b'2/51\n' | b'Two letters picked without replacement from rccnrnrncnllcrkrrd. Give prob of picking 1 d and 1 r.\n' | b'2/51\n' | deepmind/math_dataset |
b'What is prob of sequence dd when two letters picked without replacement from ddddss?\n' | b'2/5\n' | b'What is prob of sequence dd when two letters picked without replacement from ddddss?\n' | b'2/5\n' | deepmind/math_dataset |
b'Suppose 12 = -r - 3*t, -2*r + 6*r - 5*t - 37 = 0. Solve 11 + 16 = d + 5*j, -r*j = -2*d - 11 for d.\n' | b'2\n' | b'Suppose 12 = -r - 3*t, -2*r + 6*r - 5*t - 37 = 0. Solve 11 + 16 = d + 5*j, -r*j = -2*d - 11 for d.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (b**(-20)*b)/(b/(b/b**(-2/7))) assuming b is positive.\n' | b'b**(-131/7)\n' | b'Simplify (b**(-20)*b)/(b/(b/b**(-2/7))) assuming b is positive.\n' | b'b**(-131/7)\n' | deepmind/math_dataset |
b'What is prob of picking 2 d, 1 v, and 1 i when four letters picked without replacement from cpppdppvccidcnncccdd?\n' | b'2/1615\n' | b'What is prob of picking 2 d, 1 v, and 1 i when four letters picked without replacement from cpppdppvccidcnncccdd?\n' | b'2/1615\n' | deepmind/math_dataset |
b'Simplify q*q**(-14)*q/(q/(q/(q**(-8)/q*q))*q) assuming q is positive.\n' | b'q**(-5)\n' | b'Simplify q*q**(-14)*q/(q/(q/(q**(-8)/q*q))*q) assuming q is positive.\n' | b'q**(-5)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from miumuiiimumuum. What is prob of picking 2 m and 2 i?\n' | b'60/1001\n' | b'Four letters picked without replacement from miumuiiimumuum. What is prob of picking 2 m and 2 i?\n' | b'60/1001\n' | deepmind/math_dataset |
b'Suppose 5*m = -4*q - 33, -5*m - 12 = 3*q - 2*q. Let j(g) = -g - 4. Let s(v) = v + 4. Suppose 374*b = 372*b - 10. Let f(p) = b*s(p) - 6*j(p). What is f(q)?\n' | b'-3\n' | b'Suppose 5*m = -4*q - 33, -5*m - 12 = 3*q - 2*q. Let j(g) = -g - 4. Let s(v) = v + 4. Suppose 374*b = 372*b - 10. Let f(p) = b*s(p) - 6*j(p). What is f(q)?\n' | b'-3\n' | deepmind/math_dataset |
b'Let f(i) = -245*i**4 + 39*i**3 - 7*i - 13. Let g(h) = -61*h**4 + 9*h**3 - 2*h - 3. Let y(d) = 6*f(d) - 26*g(d). What is the second derivative of y(j) wrt j?\n' | b'1392*j**2\n' | b'Let f(i) = -245*i**4 + 39*i**3 - 7*i - 13. Let g(h) = -61*h**4 + 9*h**3 - 2*h - 3. Let y(d) = 6*f(d) - 26*g(d). What is the second derivative of y(j) wrt j?\n' | b'1392*j**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 3, p: 3, a: 5, e: 1, u: 2, r: 1}. Give prob of sequence jpu.\n' | b'3/455\n' | b'Three letters picked without replacement from {j: 3, p: 3, a: 5, e: 1, u: 2, r: 1}. Give prob of sequence jpu.\n' | b'3/455\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 3, f: 10, u: 1, w: 4}. What is prob of picking 2 w?\n' | b'2/51\n' | b'Two letters picked without replacement from {v: 3, f: 10, u: 1, w: 4}. What is prob of picking 2 w?\n' | b'2/51\n' | deepmind/math_dataset |
b'Calculate prob of sequence gxy when three letters picked without replacement from {k: 1, x: 1, n: 1, g: 1, b: 2, y: 1}.\n' | b'1/210\n' | b'Calculate prob of sequence gxy when three letters picked without replacement from {k: 1, x: 1, n: 1, g: 1, b: 2, y: 1}.\n' | b'1/210\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 s, 1 x, and 1 l when four letters picked without replacement from {l: 3, s: 3, x: 1}.\n' | b'9/35\n' | b'Calculate prob of picking 2 s, 1 x, and 1 l when four letters picked without replacement from {l: 3, s: 3, x: 1}.\n' | b'9/35\n' | deepmind/math_dataset |
b'Let d(u) = -u + 8. Let t be d(5). Solve -t*n = -5*s - 1 - 1, 5 = -5*s for n.\n' | b'-1\n' | b'Let d(u) = -u + 8. Let t be d(5). Solve -t*n = -5*s - 1 - 1, 5 = -5*s for n.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ereyyzu. Give prob of picking 1 e and 1 u.\n' | b'2/21\n' | b'Two letters picked without replacement from ereyyzu. Give prob of picking 1 e and 1 u.\n' | b'2/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence ze when two letters picked without replacement from {b: 1, z: 1, o: 1, e: 1, a: 1}.\n' | b'1/20\n' | b'Calculate prob of sequence ze when two letters picked without replacement from {b: 1, z: 1, o: 1, e: 1, a: 1}.\n' | b'1/20\n' | deepmind/math_dataset |
b'What is the derivative of -7736*g + 587 + 6606*g - 2113 wrt g?\n' | b'-1130\n' | b'What is the derivative of -7736*g + 587 + 6606*g - 2113 wrt g?\n' | b'-1130\n' | deepmind/math_dataset |
b'Suppose 2*z = 3*d - 2*z - 32, -d = -z - 9. Let r(l) = -l**3 + 5*l**2 - 4*l + 3. Give r(d).\n' | b'3\n' | b'Suppose 2*z = 3*d - 2*z - 32, -d = -z - 9. Let r(l) = -l**3 + 5*l**2 - 4*l + 3. Give r(d).\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 2, c: 2, g: 3, a: 1, x: 8, q: 4}. What is prob of sequence iax?\n' | b'2/855\n' | b'Three letters picked without replacement from {i: 2, c: 2, g: 3, a: 1, x: 8, q: 4}. What is prob of sequence iax?\n' | b'2/855\n' | deepmind/math_dataset |
b'What is prob of sequence wpi when three letters picked without replacement from {i: 2, p: 5, w: 13}?\n' | b'13/684\n' | b'What is prob of sequence wpi when three letters picked without replacement from {i: 2, p: 5, w: 13}?\n' | b'13/684\n' | deepmind/math_dataset |
b'Let p(g) = g**2 + 2*g - 2. Suppose -20 = 23*l + 3. Let f(c) = 104*c**2 + 48*c - 4. Let a(s) = l*f(s) + 2*p(s). Find the second derivative of a(r) wrt r.\n' | b'-204\n' | b'Let p(g) = g**2 + 2*g - 2. Suppose -20 = 23*l + 3. Let f(c) = 104*c**2 + 48*c - 4. Let a(s) = l*f(s) + 2*p(s). Find the second derivative of a(r) wrt r.\n' | b'-204\n' | deepmind/math_dataset |
b'Let j(t) = t**3 - 9*t**2 + t + 8. Let p be j(9). Let r = p - 14. What is the second derivative of 0*q**3 - 7*q - 5*q**3 - q**r wrt q?\n' | b'-36*q\n' | b'Let j(t) = t**3 - 9*t**2 + t + 8. Let p be j(9). Let r = p - 14. What is the second derivative of 0*q**3 - 7*q - 5*q**3 - q**r wrt q?\n' | b'-36*q\n' | deepmind/math_dataset |
b'Let b(g) be the third derivative of 0*g**3 + 0 + 0*g**4 + 0*g + 7/120*g**6 - 29/60*g**5 - 27*g**2. What is the third derivative of b(x) wrt x?\n' | b'42\n' | b'Let b(g) be the third derivative of 0*g**3 + 0 + 0*g**4 + 0*g + 7/120*g**6 - 29/60*g**5 - 27*g**2. What is the third derivative of b(x) wrt x?\n' | b'42\n' | deepmind/math_dataset |
b'Four letters picked without replacement from tttjjjtvvjjjjjtj. Give prob of picking 2 j, 1 t, and 1 v.\n' | b'18/91\n' | b'Four letters picked without replacement from tttjjjtvvjjjjjtj. Give prob of picking 2 j, 1 t, and 1 v.\n' | b'18/91\n' | deepmind/math_dataset |
b'Let g(l) = 13. Let f(a) = -a - 12. Let x(n) = 5*f(n) + 4*g(n). Let c be x(-5). Solve 5*d - 3*s + 4*s = -c, 3*s = 9 for d.\n' | b'-4\n' | b'Let g(l) = 13. Let f(a) = -a - 12. Let x(n) = 5*f(n) + 4*g(n). Let c be x(-5). Solve 5*d - 3*s + 4*s = -c, 3*s = 9 for d.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (w**(14/5)*w/(w*w**(1/11)))/(w/w**11*w*w**(-16)) assuming w is positive.\n' | b'w**(1524/55)\n' | b'Simplify (w**(14/5)*w/(w*w**(1/11)))/(w/w**11*w*w**(-16)) assuming w is positive.\n' | b'w**(1524/55)\n' | deepmind/math_dataset |
b'Let j = -111 + 113. Find the third derivative of -17 - 3*m**4 + 6*m**5 + 33 + 0*m**4 + m**5 + m**j wrt m.\n' | b'420*m**2 - 72*m\n' | b'Let j = -111 + 113. Find the third derivative of -17 - 3*m**4 + 6*m**5 + 33 + 0*m**4 + m**5 + m**j wrt m.\n' | b'420*m**2 - 72*m\n' | deepmind/math_dataset |
b'Let w(z) be the third derivative of -z**5/12 + 49*z**4/24 - 11*z**2 - 5. What is the second derivative of w(n) wrt n?\n' | b'-10\n' | b'Let w(z) be the third derivative of -z**5/12 + 49*z**4/24 - 11*z**2 - 5. What is the second derivative of w(n) wrt n?\n' | b'-10\n' | deepmind/math_dataset |
b'Let k(b) = -b**2 - b - 1. Let f(w) = 3*w**4 + 4*w**2 + 2*w + 2. Let q(i) = -f(i) - 2*k(i). What is the third derivative of q(g) wrt g?\n' | b'-72*g\n' | b'Let k(b) = -b**2 - b - 1. Let f(w) = 3*w**4 + 4*w**2 + 2*w + 2. Let q(i) = -f(i) - 2*k(i). What is the third derivative of q(g) wrt g?\n' | b'-72*g\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 1 q when two letters picked without replacement from {q: 2, i: 3, e: 2, g: 1, h: 4}.\n' | b'1/33\n' | b'Calculate prob of picking 1 g and 1 q when two letters picked without replacement from {q: 2, i: 3, e: 2, g: 1, h: 4}.\n' | b'1/33\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {h: 1, y: 2, i: 1, u: 1}.\n' | b'1/10\n' | b'Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {h: 1, y: 2, i: 1, u: 1}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let w(r) be the second derivative of -r**4/12 - r**3/2 - r**2 - r. Let m(s) be the first derivative of w(s). Suppose 0*k - 3 = k. What is m(k)?\n' | b'3\n' | b'Let w(r) be the second derivative of -r**4/12 - r**3/2 - r**2 - r. Let m(s) be the first derivative of w(s). Suppose 0*k - 3 = k. What is m(k)?\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aaxwx. What is prob of picking 1 x, 1 w, and 1 a?\n' | b'2/5\n' | b'Three letters picked without replacement from aaxwx. What is prob of picking 1 x, 1 w, and 1 a?\n' | b'2/5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 1, h: 1, k: 2}. What is prob of sequence kkh?\n' | b'1/12\n' | b'Three letters picked without replacement from {f: 1, h: 1, k: 2}. What is prob of sequence kkh?\n' | b'1/12\n' | deepmind/math_dataset |
b'Let g = -5 + 4. Let f be 0 - 1 - (g - 6). Let t(a) = a**2 - 6*a - 5. Give t(f).\n' | b'-5\n' | b'Let g = -5 + 4. Let f be 0 - 1 - (g - 6). Let t(a) = a**2 - 6*a - 5. Give t(f).\n' | b'-5\n' | deepmind/math_dataset |
b'Let t be -1 + (19 - 2/1). Suppose -t + 6 = -2*b. What is the second derivative of -s**5 + 5*s**5 - 3*s**b + 2*s wrt s?\n' | b'20*s**3\n' | b'Let t be -1 + (19 - 2/1). Suppose -t + 6 = -2*b. What is the second derivative of -s**5 + 5*s**5 - 3*s**b + 2*s wrt s?\n' | b'20*s**3\n' | deepmind/math_dataset |
b'Simplify ((s/s**(-8))/(s**17/s))/(s*s**7/s*s**(13/2)) assuming s is positive.\n' | b's**(-41/2)\n' | b'Simplify ((s/s**(-8))/(s**17/s))/(s*s**7/s*s**(13/2)) assuming s is positive.\n' | b's**(-41/2)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 3, b: 1}. Give prob of sequence ba.\n' | b'1/4\n' | b'Two letters picked without replacement from {a: 3, b: 1}. Give prob of sequence ba.\n' | b'1/4\n' | deepmind/math_dataset |
b'Simplify ((t**(-1/5))**(-6/11)*(t**0)**(-25))**24 assuming t is positive.\n' | b't**(144/55)\n' | b'Simplify ((t**(-1/5))**(-6/11)*(t**0)**(-25))**24 assuming t is positive.\n' | b't**(144/55)\n' | deepmind/math_dataset |
b'Let h(b) = -7*b**4 - 3*b**2 - 7*b + 20. Let y(m) = -6*m**4 - 2*m**2 - 7*m + 21. Let x(z) = 2*h(z) - 3*y(z). What is the first derivative of x(i) wrt i?\n' | b'16*i**3 + 7\n' | b'Let h(b) = -7*b**4 - 3*b**2 - 7*b + 20. Let y(m) = -6*m**4 - 2*m**2 - 7*m + 21. Let x(z) = 2*h(z) - 3*y(z). What is the first derivative of x(i) wrt i?\n' | b'16*i**3 + 7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from shupt. What is prob of sequence tu?\n' | b'1/20\n' | b'Two letters picked without replacement from shupt. What is prob of sequence tu?\n' | b'1/20\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bbqsbhbbs. What is prob of picking 1 s and 1 h?\n' | b'1/18\n' | b'Two letters picked without replacement from bbqsbhbbs. What is prob of picking 1 s and 1 h?\n' | b'1/18\n' | deepmind/math_dataset |
b'Calculate prob of sequence jajs when four letters picked without replacement from jaadsjajaajdadjja.\n' | b'1/272\n' | b'Calculate prob of sequence jajs when four letters picked without replacement from jaadsjajaajdadjja.\n' | b'1/272\n' | deepmind/math_dataset |
b'Let x = -8541 + 8554. Solve 2*y - 8 = -2*l, -2*l - 11*y + x*y = -8 for l.\n' | b'4\n' | b'Let x = -8541 + 8554. Solve 2*y - 8 = -2*l, -2*l - 11*y + x*y = -8 for l.\n' | b'4\n' | deepmind/math_dataset |
b'Let b(u) = -2*u**2 - 11*u + 17. Let f(m) = -m**2 - 5*m + 8. Let r(c) = 2*b(c) - 5*f(c). What is r(-6)?\n' | b'12\n' | b'Let b(u) = -2*u**2 - 11*u + 17. Let f(m) = -m**2 - 5*m + 8. Let r(c) = 2*b(c) - 5*f(c). What is r(-6)?\n' | b'12\n' | deepmind/math_dataset |
b'Simplify (v**(-5/3)/(v*v**1*v))/(v/(v/v**(2/5))*v)**(-3/2) assuming v is positive.\n' | b'v**(-77/30)\n' | b'Simplify (v**(-5/3)/(v*v**1*v))/(v/(v/v**(2/5))*v)**(-3/2) assuming v is positive.\n' | b'v**(-77/30)\n' | deepmind/math_dataset |
b'Let p(q) = q**2 + 8*q + 27. Let w = -9471 + 9467. Calculate p(w).\n' | b'11\n' | b'Let p(q) = q**2 + 8*q + 27. Let w = -9471 + 9467. Calculate p(w).\n' | b'11\n' | deepmind/math_dataset |
b'Let r(j) be the second derivative of j**4/12 - 7*j**3/6 + 3*j**2/2 - 9*j - 2. What is r(8)?\n' | b'11\n' | b'Let r(j) be the second derivative of j**4/12 - 7*j**3/6 + 3*j**2/2 - 9*j - 2. What is r(8)?\n' | b'11\n' | deepmind/math_dataset |
b'Simplify (((i/(i*i/i**(-1/2)))/(i*i**4))/((i**4/i)/i*i**(-4)))/((i**(2/3)*i)/i**(-6)*(i**(-1))**(3/4)) assuming i is positive.\n' | b'i**(-137/12)\n' | b'Simplify (((i/(i*i/i**(-1/2)))/(i*i**4))/((i**4/i)/i*i**(-4)))/((i**(2/3)*i)/i**(-6)*(i**(-1))**(3/4)) assuming i is positive.\n' | b'i**(-137/12)\n' | deepmind/math_dataset |
b'Let n(c) = -4*c**2 + 11*c - 4. Let j(m) = -7*m**2 + 21*m - 9. Let v(f) = -3*j(f) + 5*n(f). Determine v(7).\n' | b'0\n' | b'Let n(c) = -4*c**2 + 11*c - 4. Let j(m) = -7*m**2 + 21*m - 9. Let v(f) = -3*j(f) + 5*n(f). Determine v(7).\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 6, q: 3, e: 1, d: 2}. What is prob of sequence ed?\n' | b'1/66\n' | b'Two letters picked without replacement from {i: 6, q: 3, e: 1, d: 2}. What is prob of sequence ed?\n' | b'1/66\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 4, g: 1, f: 1, e: 4, h: 1, w: 3}. What is prob of sequence dedw?\n' | b'6/1001\n' | b'Four letters picked without replacement from {d: 4, g: 1, f: 1, e: 4, h: 1, w: 3}. What is prob of sequence dedw?\n' | b'6/1001\n' | deepmind/math_dataset |
b'What is prob of picking 2 m, 1 f, and 1 j when four letters picked without replacement from mmljmlfm?\n' | b'3/35\n' | b'What is prob of picking 2 m, 1 f, and 1 j when four letters picked without replacement from mmljmlfm?\n' | b'3/35\n' | deepmind/math_dataset |
b'Let a = -14 - -18. Let p(g) be the third derivative of 0 + 1/24*g**4 - g**2 + 1/3*g**3 + 0*g. What is p(a)?\n' | b'6\n' | b'Let a = -14 - -18. Let p(g) be the third derivative of 0 + 1/24*g**4 - g**2 + 1/3*g**3 + 0*g. What is p(a)?\n' | b'6\n' | deepmind/math_dataset |
b'Let b = 98 + -96. Suppose -t = -2*i + 1, 5*i + b*t - 13 = t. Solve 0*o + 10 = -3*y + o, 0 = -2*o + i for y.\n' | b'-3\n' | b'Let b = 98 + -96. Suppose -t = -2*i + 1, 5*i + b*t - 13 = t. Solve 0*o + 10 = -3*y + o, 0 = -2*o + i for y.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 1 j and 1 i when two letters picked without replacement from lnjinl?\n' | b'1/15\n' | b'What is prob of picking 1 j and 1 i when two letters picked without replacement from lnjinl?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let p(l) = -l - 10. Let d be p(-10). Solve w - s - s - 6 = d, 4*w = -4*s for w.\n' | b'2\n' | b'Let p(l) = -l - 10. Let d be p(-10). Solve w - s - s - 6 = d, 4*w = -4*s for w.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((m**3/(m*m**(-2/9)))/((m/m**7)/(((m*m**(-7))/m*m)/m*m)))**6 assuming m is positive.\n' | b'm**(40/3)\n' | b'Simplify ((m**3/(m*m**(-2/9)))/((m/m**7)/(((m*m**(-7))/m*m)/m*m)))**6 assuming m is positive.\n' | b'm**(40/3)\n' | deepmind/math_dataset |
b'What is prob of sequence eikk when four letters picked without replacement from {e: 4, k: 4, i: 6}?\n' | b'12/1001\n' | b'What is prob of sequence eikk when four letters picked without replacement from {e: 4, k: 4, i: 6}?\n' | b'12/1001\n' | deepmind/math_dataset |
b'What is prob of sequence jo when two letters picked without replacement from gjgzgzojjzzjjjjjjo?\n' | b'1/17\n' | b'What is prob of sequence jo when two letters picked without replacement from gjgzgzojjzzjjjjjjo?\n' | b'1/17\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 2, t: 1}. What is prob of sequence tt?\n' | b'0\n' | b'Two letters picked without replacement from {x: 2, t: 1}. What is prob of sequence tt?\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 3, c: 1, i: 2, v: 3, g: 1, n: 1}. Give prob of sequence guv.\n' | b'1/110\n' | b'Three letters picked without replacement from {u: 3, c: 1, i: 2, v: 3, g: 1, n: 1}. Give prob of sequence guv.\n' | b'1/110\n' | deepmind/math_dataset |
b'Calculate prob of sequence ej when two letters picked without replacement from {b: 1, j: 1, e: 3}.\n' | b'3/20\n' | b'Calculate prob of sequence ej when two letters picked without replacement from {b: 1, j: 1, e: 3}.\n' | b'3/20\n' | deepmind/math_dataset |
b'Let l(q) be the second derivative of -q**4/12 + 3*q**3/2 - 5*q**2 + 7*q. Let j be l(6). Solve -5*k + 3*h - j = 0, 28 = k - 5*k - 3*h for k.\n' | b'-4\n' | b'Let l(q) be the second derivative of -q**4/12 + 3*q**3/2 - 5*q**2 + 7*q. Let j be l(6). Solve -5*k + 3*h - j = 0, 28 = k - 5*k - 3*h for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mmmmmrrmmmrrrmrrrrmm. What is prob of sequence rm?\n' | b'99/380\n' | b'Two letters picked without replacement from mmmmmrrmmmrrrmrrrrmm. What is prob of sequence rm?\n' | b'99/380\n' | deepmind/math_dataset |
b'Simplify g*g**(-3/34)*g*g/g**(1/25) assuming g is positive.\n' | b'g**(2441/850)\n' | b'Simplify g*g**(-3/34)*g*g/g**(1/25) assuming g is positive.\n' | b'g**(2441/850)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 1, b: 5, p: 1, y: 1, v: 4, m: 1}. Give prob of picking 2 v and 1 b.\n' | b'15/143\n' | b'Three letters picked without replacement from {l: 1, b: 5, p: 1, y: 1, v: 4, m: 1}. Give prob of picking 2 v and 1 b.\n' | b'15/143\n' | deepmind/math_dataset |
b'Let m be 6/((-15)/(-20)*-1). Let k(x) = 14*x - 20. Let g(s) = -2*s. Let l(u) = m*g(u) - k(u). Let h be l(-9). Solve z = -t - h, 3*z - z = 5*t - 18 for t.\n' | b'2\n' | b'Let m be 6/((-15)/(-20)*-1). Let k(x) = 14*x - 20. Let g(s) = -2*s. Let l(u) = m*g(u) - k(u). Let h be l(-9). Solve z = -t - h, 3*z - z = 5*t - 18 for t.\n' | b'2\n' | deepmind/math_dataset |
b'Let g(n) = -154*n**2 + 4 - 16 - 23 + 35*n. Let k(m) = -2*m - 128 + 9*m**2 + 67 + 63. Let p(w) = -2*g(w) - 35*k(w). Determine p(-1).\n' | b'-7\n' | b'Let g(n) = -154*n**2 + 4 - 16 - 23 + 35*n. Let k(m) = -2*m - 128 + 9*m**2 + 67 + 63. Let p(w) = -2*g(w) - 35*k(w). Determine p(-1).\n' | b'-7\n' | deepmind/math_dataset |
b'Let w = 11 + -9. Solve 0*r - 4*l + 2 = 2*r, 0 = w*r - l - 2 for r.\n' | b'1\n' | b'Let w = 11 + -9. Solve 0*r - 4*l + 2 = 2*r, 0 = w*r - l - 2 for r.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 7, c: 2, u: 5}. Give prob of picking 2 u and 1 c.\n' | b'5/91\n' | b'Three letters picked without replacement from {e: 7, c: 2, u: 5}. Give prob of picking 2 u and 1 c.\n' | b'5/91\n' | deepmind/math_dataset |
b'Let x = 3 - 1. Let d(j) = 1 + 0 + 0*j**2 - j**x. Determine d(0).\n' | b'1\n' | b'Let x = 3 - 1. Let d(j) = 1 + 0 + 0*j**2 - j**x. Determine d(0).\n' | b'1\n' | deepmind/math_dataset |
b'Let w = -12 + 90. Let p = -78 + w. Solve 8*s = 5*s - 3*t - 9, 2*s + 5*t = p for s.\n' | b'-5\n' | b'Let w = -12 + 90. Let p = -78 + w. Solve 8*s = 5*s - 3*t - 9, 2*s + 5*t = p for s.\n' | b'-5\n' | deepmind/math_dataset |
b'Let r be (2 - 0)*(-6)/(-4). Solve -2*g - 2*b + 1 = -r, 5*g + 30 = 5*b for g.\n' | b'-2\n' | b'Let r be (2 - 0)*(-6)/(-4). Solve -2*g - 2*b + 1 = -r, 5*g + 30 = 5*b for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 14 = q + 5*s, -7*s = -5*q - 4*s + 14. Solve -3*y - 4 = -0*y - q*g, y + 4*g - 20 = 0 for y.\n' | b'4\n' | b'Suppose 14 = q + 5*s, -7*s = -5*q - 4*s + 14. Solve -3*y - 4 = -0*y - q*g, y + 4*g - 20 = 0 for y.\n' | b'4\n' | deepmind/math_dataset |
b'Let q(l) = l**2 + 9*l - 2. Let b(x) = 2*x**2 + 17*x - 4. Let m(o) = -6*b(o) + 11*q(o). Suppose 3*w - 2*z = -5*z - 3, -5 = w - z. Calculate m(w).\n' | b'2\n' | b'Let q(l) = l**2 + 9*l - 2. Let b(x) = 2*x**2 + 17*x - 4. Let m(o) = -6*b(o) + 11*q(o). Suppose 3*w - 2*z = -5*z - 3, -5 = w - z. Calculate m(w).\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 6, f: 6}. What is prob of sequence fggf?\n' | b'5/66\n' | b'Four letters picked without replacement from {g: 6, f: 6}. What is prob of sequence fggf?\n' | b'5/66\n' | deepmind/math_dataset |
b'Let h(v) = 4*v**3 - 11*v**2 - 8*v. Let f(s) = -10*s**2 + 3*s - 3 - 4*s + 3*s**3 + 2 - 6*s. Let o(i) = -5*f(i) + 4*h(i). Give o(-6).\n' | b'-13\n' | b'Let h(v) = 4*v**3 - 11*v**2 - 8*v. Let f(s) = -10*s**2 + 3*s - 3 - 4*s + 3*s**3 + 2 - 6*s. Let o(i) = -5*f(i) + 4*h(i). Give o(-6).\n' | b'-13\n' | deepmind/math_dataset |
b'What is prob of picking 2 n when two letters picked without replacement from {n: 2, r: 2, w: 1}?\n' | b'1/10\n' | b'What is prob of picking 2 n when two letters picked without replacement from {n: 2, r: 2, w: 1}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let b(s) be the first derivative of 123*s**5/5 - 78*s + 298. What is the derivative of b(t) wrt t?\n' | b'492*t**3\n' | b'Let b(s) be the first derivative of 123*s**5/5 - 78*s + 298. What is the derivative of b(t) wrt t?\n' | b'492*t**3\n' | deepmind/math_dataset |
b'Simplify ((d/d**(-21))/d*d*d**(-3/10))/(d**(-17)/(d*(d/((d*d**(-2/5)*d*d*d)/d)*d)/d)) assuming d is positive.\n' | b'd**(381/10)\n' | b'Simplify ((d/d**(-21))/d*d*d**(-3/10))/(d**(-17)/(d*(d/((d*d**(-2/5)*d*d*d)/d)*d)/d)) assuming d is positive.\n' | b'd**(381/10)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 k when three letters picked without replacement from {j: 6, k: 7}.\n' | b'35/286\n' | b'Calculate prob of picking 3 k when three letters picked without replacement from {j: 6, k: 7}.\n' | b'35/286\n' | deepmind/math_dataset |
b'Simplify ((h**(1/2)/h)**41*(h**(-1/2))**(-33))**0 assuming h is positive.\n' | b'1\n' | b'Simplify ((h**(1/2)/h)**41*(h**(-1/2))**(-33))**0 assuming h is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Let v(q) be the first derivative of 22*q**3/3 + 17*q**2/2 - 26. Find the second derivative of v(y) wrt y.\n' | b'44\n' | b'Let v(q) be the first derivative of 22*q**3/3 + 17*q**2/2 - 26. Find the second derivative of v(y) wrt y.\n' | b'44\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 3, v: 8}. Give prob of sequence vss.\n' | b'8/165\n' | b'Three letters picked without replacement from {s: 3, v: 8}. Give prob of sequence vss.\n' | b'8/165\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 1, r: 1, v: 2, o: 1, i: 4}. Give prob of picking 1 o and 3 i.\n' | b'2/63\n' | b'Four letters picked without replacement from {m: 1, r: 1, v: 2, o: 1, i: 4}. Give prob of picking 1 o and 3 i.\n' | b'2/63\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 10, o: 2, m: 4, u: 3}. What is prob of sequence mv?\n' | b'20/171\n' | b'Two letters picked without replacement from {v: 10, o: 2, m: 4, u: 3}. What is prob of sequence mv?\n' | b'20/171\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 5, o: 9, y: 2}. What is prob of picking 1 k, 1 y, and 1 o?\n' | b'9/56\n' | b'Three letters picked without replacement from {k: 5, o: 9, y: 2}. What is prob of picking 1 k, 1 y, and 1 o?\n' | b'9/56\n' | deepmind/math_dataset |
b'Let h(k) = -k**2 + 7*k - 3. Let q = -42 + 48. Determine h(q).\n' | b'3\n' | b'Let h(k) = -k**2 + 7*k - 3. Let q = -42 + 48. Determine h(q).\n' | b'3\n' | deepmind/math_dataset |
b'Let r(s) = 7*s + 2. Let k = -307 - -311. Suppose 5*j - j = 4, -d = k*j - 3. Determine r(d).\n' | b'-5\n' | b'Let r(s) = 7*s + 2. Let k = -307 - -311. Suppose 5*j - j = 4, -d = k*j - 3. Determine r(d).\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a, 2 u, and 1 f when four letters picked without replacement from {p: 2, u: 4, d: 1, a: 2, f: 1}.\n' | b'2/35\n' | b'Calculate prob of picking 1 a, 2 u, and 1 f when four letters picked without replacement from {p: 2, u: 4, d: 1, a: 2, f: 1}.\n' | b'2/35\n' | deepmind/math_dataset |
b'Let w be 1/7 + (-108)/21. Let p(s) = s**3 + 6*s**2 + 4*s - 5. Let n be p(w). What is the derivative of 1 - 4 - 3*i - 5*i + n wrt i?\n' | b'-8\n' | b'Let w be 1/7 + (-108)/21. Let p(s) = s**3 + 6*s**2 + 4*s - 5. Let n be p(w). What is the derivative of 1 - 4 - 3*i - 5*i + n wrt i?\n' | b'-8\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gxxxggggxxggxxixxxxx. Give prob of sequence igg.\n' | b'7/1140\n' | b'Three letters picked without replacement from gxxxggggxxggxxixxxxx. Give prob of sequence igg.\n' | b'7/1140\n' | deepmind/math_dataset |
b'Let q(a) = 6*a**2 + a - 1. Let w(j) = j. Let b(z) = -q(z) + w(z). Let o(s) = s**3 - 5*s**2 + 1. Let g be o(5). Calculate b(g).\n' | b'-5\n' | b'Let q(a) = 6*a**2 + a - 1. Let w(j) = j. Let b(z) = -q(z) + w(z). Let o(s) = s**3 - 5*s**2 + 1. Let g be o(5). Calculate b(g).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 5*q = -0*q + 5. Suppose -a + 2 = q, 0 = -3*b + 4*a + 50. What is the second derivative of 2*o - o**3 + 12*o - b*o wrt o?\n' | b'-6*o\n' | b'Suppose 5*q = -0*q + 5. Suppose -a + 2 = q, 0 = -3*b + 4*a + 50. What is the second derivative of 2*o - o**3 + 12*o - b*o wrt o?\n' | b'-6*o\n' | deepmind/math_dataset |
b'Simplify j*j**(-12)*j*j**(3/8)/j*j**(-1/36)/j**(-2/43) assuming j is positive.\n' | b'j**(-32837/3096)\n' | b'Simplify j*j**(-12)*j*j**(3/8)/j*j**(-1/36)/j**(-2/43) assuming j is positive.\n' | b'j**(-32837/3096)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qxqqqoqiqqkq. What is prob of picking 3 q?\n' | b'14/55\n' | b'Three letters picked without replacement from qxqqqoqiqqkq. What is prob of picking 3 q?\n' | b'14/55\n' | deepmind/math_dataset |
b'Let z be (64/(-320) - (-1)/5)/(-4). Let w(d) = 2*d + 10. Give w(z).\n' | b'10\n' | b'Let z be (64/(-320) - (-1)/5)/(-4). Let w(d) = 2*d + 10. Give w(z).\n' | b'10\n' | deepmind/math_dataset |
b'Let z be (3 + -2)*(2 + 6). Suppose h + 87 = 5*j - 2*h, 0 = -2*h - 8. Let l = -6 - -11. Solve 4*q + z = 4*f + 36, -5*q - l*f = j for q.\n' | b'2\n' | b'Let z be (3 + -2)*(2 + 6). Suppose h + 87 = 5*j - 2*h, 0 = -2*h - 8. Let l = -6 - -11. Solve 4*q + z = 4*f + 36, -5*q - l*f = j for q.\n' | b'2\n' | deepmind/math_dataset |
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