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 w(s) be the second derivative of 28*s + 0*s**3 + 9/10*s**5 + 11/2*s**2 + 0*s**4 + 0. What is the first derivative of w(h) wrt h?\n' | b'54*h**2\n' | b'Let w(s) be the second derivative of 28*s + 0*s**3 + 9/10*s**5 + 11/2*s**2 + 0*s**4 + 0. What is the first derivative of w(h) wrt h?\n' | b'54*h**2\n' | deepmind/math_dataset |
b'Simplify z**(2/61)/z**(-2/7) assuming z is positive.\n' | b'z**(136/427)\n' | b'Simplify z**(2/61)/z**(-2/7) assuming z is positive.\n' | b'z**(136/427)\n' | deepmind/math_dataset |
b'Simplify ((k/(k**1/k)*k**(-7))/(k/k**(-2/7)*k*k*k*k**3*k))**33 assuming k is positive.\n' | b'k**(-3300/7)\n' | b'Simplify ((k/(k**1/k)*k**(-7))/(k/k**(-2/7)*k*k*k*k**3*k))**33 assuming k is positive.\n' | b'k**(-3300/7)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 5, v: 2, f: 1, w: 4, s: 2}. Give prob of sequence sfws.\n' | b'1/3003\n' | b'Four letters picked without replacement from {l: 5, v: 2, f: 1, w: 4, s: 2}. Give prob of sequence sfws.\n' | b'1/3003\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 1, l: 2, i: 1, r: 3, b: 3, y: 2}. Give prob of picking 1 m, 1 r, and 1 b.\n' | b'9/220\n' | b'Three letters picked without replacement from {m: 1, l: 2, i: 1, r: 3, b: 3, y: 2}. Give prob of picking 1 m, 1 r, and 1 b.\n' | b'9/220\n' | deepmind/math_dataset |
b'Let g(i) be the third derivative of i**4/24 + 25*i**2 + 28. Let u = 15 + -22. Give g(u).\n' | b'-7\n' | b'Let g(i) be the third derivative of i**4/24 + 25*i**2 + 28. Let u = 15 + -22. Give g(u).\n' | b'-7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 12, z: 6}. What is prob of picking 4 z?\n' | b'1/204\n' | b'Four letters picked without replacement from {g: 12, z: 6}. What is prob of picking 4 z?\n' | b'1/204\n' | deepmind/math_dataset |
b'Suppose -612*i = -603*i - 45. Find the second derivative of 25*h**4 + h**2 - 4*h**i - 14 - h**5 + 8*h + 15*h**4 - 40*h**4 wrt h.\n' | b'-100*h**3 + 2\n' | b'Suppose -612*i = -603*i - 45. Find the second derivative of 25*h**4 + h**2 - 4*h**i - 14 - h**5 + 8*h + 15*h**4 - 40*h**4 wrt h.\n' | b'-100*h**3 + 2\n' | deepmind/math_dataset |
b'Simplify (a**0)**(-2/67)/(a/a**(2/19)*a/(a*a**(2/31))) assuming a is positive.\n' | b'a**(-489/589)\n' | b'Simplify (a**0)**(-2/67)/(a/a**(2/19)*a/(a*a**(2/31))) assuming a is positive.\n' | b'a**(-489/589)\n' | deepmind/math_dataset |
b'Let f(u) = -u**2 - 9*u - 5. Let s = -220 - -213. Determine f(s).\n' | b'9\n' | b'Let f(u) = -u**2 - 9*u - 5. Let s = -220 - -213. Determine f(s).\n' | b'9\n' | deepmind/math_dataset |
b'Suppose 20 = 2*k - 0. Let r(l) = l**2 + 10*l - 8. Let d be r(-10). Let n = d + k. Let a(z) = -6*z + 3. Determine a(n).\n' | b'-9\n' | b'Suppose 20 = 2*k - 0. Let r(l) = l**2 + 10*l - 8. Let d be r(-10). Let n = d + k. Let a(z) = -6*z + 3. Determine a(n).\n' | b'-9\n' | deepmind/math_dataset |
b'Let u(r) = -r - 5. Suppose 0 = 4*t - 1 + 21. Let c(x) = -x - 1. Let b be c(4). Let f = t - b. What is u(f)?\n' | b'-5\n' | b'Let u(r) = -r - 5. Suppose 0 = 4*t - 1 + 21. Let c(x) = -x - 1. Let b be c(4). Let f = t - b. What is u(f)?\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -4*b + 8 - 28 = 0. Let n = b - 1. Let d(v) = -2*v - 9. Determine d(n).\n' | b'3\n' | b'Suppose -4*b + 8 - 28 = 0. Let n = b - 1. Let d(v) = -2*v - 9. Determine d(n).\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -2*k - 350 = -73*k + 147. Let z(r) = -2*r**2 + 17*r - 18. Give z(k).\n' | b'3\n' | b'Suppose -2*k - 350 = -73*k + 147. Let z(r) = -2*r**2 + 17*r - 18. Give z(k).\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nrnrdrnpkrrrrdppprvv. Give prob of picking 1 r, 1 v, and 1 d.\n' | b'8/285\n' | b'Three letters picked without replacement from nrnrdrnpkrrrrdppprvv. Give prob of picking 1 r, 1 v, and 1 d.\n' | b'8/285\n' | deepmind/math_dataset |
b'Simplify (((j**(1/3))**49)**(2/41))**(2/53) assuming j is positive.\n' | b'j**(196/6519)\n' | b'Simplify (((j**(1/3))**49)**(2/41))**(2/53) assuming j is positive.\n' | b'j**(196/6519)\n' | deepmind/math_dataset |
b'Let s(q) be the third derivative of q**4/24 + q**3/2 - 28*q**2. Determine s(3).\n' | b'6\n' | b'Let s(q) be the third derivative of q**4/24 + q**3/2 - 28*q**2. Determine s(3).\n' | b'6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 3, c: 3, r: 1, i: 7}. Give prob of sequence jcc.\n' | b'3/364\n' | b'Three letters picked without replacement from {j: 3, c: 3, r: 1, i: 7}. Give prob of sequence jcc.\n' | b'3/364\n' | deepmind/math_dataset |
b'Two letters picked without replacement from potttoprtppppprtpop. What is prob of picking 1 t and 1 r?\n' | b'10/171\n' | b'Two letters picked without replacement from potttoprtppppprtpop. What is prob of picking 1 t and 1 r?\n' | b'10/171\n' | deepmind/math_dataset |
b'Let d(l) be the third derivative of l**7/1008 + 3*l**5/5 - l**3/2 - 130*l**2. Let c(y) be the third derivative of d(y). Give c(1).\n' | b'5\n' | b'Let d(l) be the third derivative of l**7/1008 + 3*l**5/5 - l**3/2 - 130*l**2. Let c(y) be the third derivative of d(y). Give c(1).\n' | b'5\n' | deepmind/math_dataset |
b'Let q = -2460 - -2464. Solve 0 = 12*i - 7*i + q*y + 15, 9 = -3*i + 4*y for i.\n' | b'-3\n' | b'Let q = -2460 - -2464. Solve 0 = 12*i - 7*i + q*y + 15, 9 = -3*i + 4*y for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Let s(u) = 2 + u + 0 - u - 2*u. Let t(j) = 4*j**2 - 3*j + 2. Let l be t(2). Let b = -10 + l. What is s(b)?\n' | b'-2\n' | b'Let s(u) = 2 + u + 0 - u - 2*u. Let t(j) = 4*j**2 - 3*j + 2. Let l be t(2). Let b = -10 + l. What is s(b)?\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -q + 39 = 2*q. Suppose -4*g - 1 + q = 0. Suppose -5*o = 5*j, -3*o + 7*o + g = -3*j. Solve -4*i + 3*a + 15 = 0, 3*i - 6*a = -j*a + 15 for i.\n' | b'0\n' | b'Suppose -q + 39 = 2*q. Suppose -4*g - 1 + q = 0. Suppose -5*o = 5*j, -3*o + 7*o + g = -3*j. Solve -4*i + 3*a + 15 = 0, 3*i - 6*a = -j*a + 15 for i.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 2*k = -3*n + 12, -3*k - 2 + 15 = 2*n. Solve -5*r - m = 24, 0 = 3*m - n*m - 1 for r.\n' | b'-5\n' | b'Suppose 2*k = -3*n + 12, -3*k - 2 + 15 = 2*n. Solve -5*r - m = 24, 0 = 3*m - n*m - 1 for r.\n' | b'-5\n' | deepmind/math_dataset |
b'Let f(q) = q**3 - 4*q**2 - 3*q. Let c be f(5). Suppose c + 9 = 2*a + 3*p, 2*a = -4*p + 24. Let x(o) = -5*o - 2. Calculate x(a).\n' | b'-12\n' | b'Let f(q) = q**3 - 4*q**2 - 3*q. Let c be f(5). Suppose c + 9 = 2*a + 3*p, 2*a = -4*p + 24. Let x(o) = -5*o - 2. Calculate x(a).\n' | b'-12\n' | deepmind/math_dataset |
b'Let a(g) = -3*g - 1. Let h(y) = y**2 - 13*y - 2. Let m(b) = 3*b**2 - 38*b - 5. Let k(l) = 17*h(l) - 6*m(l). Let q be k(5). Let r = q + -5. What is a(r)?\n' | b'-4\n' | b'Let a(g) = -3*g - 1. Let h(y) = y**2 - 13*y - 2. Let m(b) = 3*b**2 - 38*b - 5. Let k(l) = 17*h(l) - 6*m(l). Let q be k(5). Let r = q + -5. What is a(r)?\n' | b'-4\n' | deepmind/math_dataset |
b'What is the second derivative of -45*c**2 + 13*c**3 + 24*c**2 + 19*c**2 + 66*c wrt c?\n' | b'78*c - 4\n' | b'What is the second derivative of -45*c**2 + 13*c**3 + 24*c**2 + 19*c**2 + 66*c wrt c?\n' | b'78*c - 4\n' | deepmind/math_dataset |
b'Simplify ((v*v*v**(-5)*v*v*v)/(v/v**(-5))*(v*v/v**(-2))**8)**(-10) assuming v is positive.\n' | b'v**(-260)\n' | b'Simplify ((v*v*v**(-5)*v*v*v)/(v/v**(-5))*(v*v/v**(-2))**8)**(-10) assuming v is positive.\n' | b'v**(-260)\n' | deepmind/math_dataset |
b'Simplify (r**(3/10)/r*r)**10/((r/(r*r**(-6)*r)*r*r)/r**(-21)) assuming r is positive.\n' | b'r**(-25)\n' | b'Simplify (r**(3/10)/r*r)**10/((r/(r*r**(-6)*r)*r*r)/r**(-21)) assuming r is positive.\n' | b'r**(-25)\n' | deepmind/math_dataset |
b'Let b(y) = -y**4 + 3*y**2. Let j(w) = -2*w**4 + 5*w**2 + 1. Let t(g) = 5*b(g) - 3*j(g). What is the derivative of t(a) wrt a?\n' | b'4*a**3\n' | b'Let b(y) = -y**4 + 3*y**2. Let j(w) = -2*w**4 + 5*w**2 + 1. Let t(g) = 5*b(g) - 3*j(g). What is the derivative of t(a) wrt a?\n' | b'4*a**3\n' | deepmind/math_dataset |
b'Let s(o) be the second derivative of o**6/120 + o**4/6 + o**2 + 3*o. Let i(q) be the first derivative of s(q). What is the second derivative of i(r) wrt r?\n' | b'6*r\n' | b'Let s(o) be the second derivative of o**6/120 + o**4/6 + o**2 + 3*o. Let i(q) be the first derivative of s(q). What is the second derivative of i(r) wrt r?\n' | b'6*r\n' | deepmind/math_dataset |
b'Let i(c) be the second derivative of c**5/20 - 2*c**4/3 + 3*c**3/2 - 6*c**2 - 291*c. Give i(7).\n' | b'2\n' | b'Let i(c) be the second derivative of c**5/20 - 2*c**4/3 + 3*c**3/2 - 6*c**2 - 291*c. Give i(7).\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from uuaa. Give prob of sequence uaua.\n' | b'1/6\n' | b'Four letters picked without replacement from uuaa. Give prob of sequence uaua.\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify (t**28*t*t*(t*t**(10/3))/t)/(t**(-49)/t*t*t**(2/7)) assuming t is positive.\n' | b't**(1723/21)\n' | b'Simplify (t**28*t*t*(t*t**(10/3))/t)/(t**(-49)/t*t*t**(2/7)) assuming t is positive.\n' | b't**(1723/21)\n' | deepmind/math_dataset |
b'Let v(r) be the first derivative of -4021*r**3/3 + 2320*r - 6147. Differentiate v(j) wrt j.\n' | b'-8042*j\n' | b'Let v(r) be the first derivative of -4021*r**3/3 + 2320*r - 6147. Differentiate v(j) wrt j.\n' | b'-8042*j\n' | deepmind/math_dataset |
b'Suppose 0 = 4*k - 5*r - 48, 1 = 2*r + 9. Let o be -2 + k + (0 - 1). Suppose 3*c = -o*b + 6 - 18, -5*c + 3 = -b. Solve 2*w = 4, 3*a = -3*w - c*w - 9 for a.\n' | b'-5\n' | b'Suppose 0 = 4*k - 5*r - 48, 1 = 2*r + 9. Let o be -2 + k + (0 - 1). Suppose 3*c = -o*b + 6 - 18, -5*c + 3 = -b. Solve 2*w = 4, 3*a = -3*w - c*w - 9 for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify f*f*(f*(f*(f**5/f*f)/f*f)/f*f)/f*f*f*f**(-17)/f assuming f is positive.\n' | b'f**(-8)\n' | b'Simplify f*f*(f*(f*(f**5/f*f)/f*f)/f*f)/f*f*f*f**(-17)/f assuming f is positive.\n' | b'f**(-8)\n' | deepmind/math_dataset |
b'Simplify z**0*(z*z**(-18)*z)/z*z**(6/13)*z**(-9)/z assuming z is positive.\n' | b'z**(-345/13)\n' | b'Simplify z**0*(z*z**(-18)*z)/z*z**(6/13)*z**(-9)/z assuming z is positive.\n' | b'z**(-345/13)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from twkwwktuwtkutktkvuww. What is prob of picking 2 u and 1 t?\n' | b'1/76\n' | b'Three letters picked without replacement from twkwwktuwtkutktkvuww. What is prob of picking 2 u and 1 t?\n' | b'1/76\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hcorfcb. What is prob of sequence bo?\n' | b'1/42\n' | b'Two letters picked without replacement from hcorfcb. What is prob of sequence bo?\n' | b'1/42\n' | deepmind/math_dataset |
b'Let x = -55 + 60. Solve 5*f + 5 = x*c, 0*f - 6 = -5*c + 4*f for c.\n' | b'2\n' | b'Let x = -55 + 60. Solve 5*f + 5 = x*c, 0*f - 6 = -5*c + 4*f for c.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (n**(2/3)/n)**25*((n*n**7*n*n)/n*n)**(5/4) assuming n is positive.\n' | b'n**(25/6)\n' | b'Simplify (n**(2/3)/n)**25*((n*n**7*n*n)/n*n)**(5/4) assuming n is positive.\n' | b'n**(25/6)\n' | deepmind/math_dataset |
b'Let k = 28 + -5. Let d = 25 - k. Suppose 4*u = 3*z - 35, 0 = -d*u - 3*z + 10 - 5. Let q(w) = w**2 + 4*w + 7. Give q(u).\n' | b'12\n' | b'Let k = 28 + -5. Let d = 25 - k. Suppose 4*u = 3*z - 35, 0 = -d*u - 3*z + 10 - 5. Let q(w) = w**2 + 4*w + 7. Give q(u).\n' | b'12\n' | deepmind/math_dataset |
b'Let x = -12 + 12. Let o(s) be the first derivative of -s**2/2 + s + 2. Give o(x).\n' | b'1\n' | b'Let x = -12 + 12. Let o(s) be the first derivative of -s**2/2 + s + 2. Give o(x).\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 0 = -13*p + 10*p + 9. Solve 3*u + 3*f + 15 = 0, -2*u + 3 + 2 = -p*f for u.\n' | b'-2\n' | b'Suppose 0 = -13*p + 10*p + 9. Solve 3*u + 3*f + 15 = 0, -2*u + 3 + 2 = -p*f for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Let b(j) = j**3 - 4*j**2 + 2*j + 2. Let u be b(4). Let i = -1 + u. Let f be (-27)/3*(-3)/i. Solve 3*m = 2*g + 13, 3*m + 0*g + f*g = -12 for m.\n' | b'1\n' | b'Let b(j) = j**3 - 4*j**2 + 2*j + 2. Let u be b(4). Let i = -1 + u. Let f be (-27)/3*(-3)/i. Solve 3*m = 2*g + 13, 3*m + 0*g + f*g = -12 for m.\n' | b'1\n' | deepmind/math_dataset |
b'Let l be (-11)/(66/(-12)) - -23. Solve -t - 10 = 5*b + 15, -4*t + l = -5*b for b.\n' | b'-5\n' | b'Let l be (-11)/(66/(-12)) - -23. Solve -t - 10 = 5*b + 15, -4*t + l = -5*b for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence bgg when three letters picked without replacement from {g: 3, b: 2, u: 4, a: 1, o: 7}.\n' | b'1/340\n' | b'Calculate prob of sequence bgg when three letters picked without replacement from {g: 3, b: 2, u: 4, a: 1, o: 7}.\n' | b'1/340\n' | deepmind/math_dataset |
b'What is prob of sequence aca when three letters picked without replacement from cacccaacccccccaccac?\n' | b'140/2907\n' | b'What is prob of sequence aca when three letters picked without replacement from cacccaacccccccaccac?\n' | b'140/2907\n' | deepmind/math_dataset |
b'Let k(f) = -84*f**3 + 181*f - 5. Let a = 564 - 559. Let t(u) = 85*u**3 - 181*u + 4. Let q(i) = a*t(i) + 4*k(i). Find the second derivative of q(b) wrt b.\n' | b'534*b\n' | b'Let k(f) = -84*f**3 + 181*f - 5. Let a = 564 - 559. Let t(u) = 85*u**3 - 181*u + 4. Let q(i) = a*t(i) + 4*k(i). Find the second derivative of q(b) wrt b.\n' | b'534*b\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xccmcccxm. Give prob of picking 1 c and 2 m.\n' | b'5/84\n' | b'Three letters picked without replacement from xccmcccxm. Give prob of picking 1 c and 2 m.\n' | b'5/84\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 8, u: 3}. What is prob of sequence zuz?\n' | b'28/165\n' | b'Three letters picked without replacement from {z: 8, u: 3}. What is prob of sequence zuz?\n' | b'28/165\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {p: 1, n: 1, u: 1, b: 3, j: 1}.\n' | b'1/21\n' | b'Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {p: 1, n: 1, u: 1, b: 3, j: 1}.\n' | b'1/21\n' | deepmind/math_dataset |
b'What is prob of picking 1 l and 1 w when two letters picked without replacement from {g: 1, w: 4, m: 1, l: 1, h: 1}?\n' | b'1/7\n' | b'What is prob of picking 1 l and 1 w when two letters picked without replacement from {g: 1, w: 4, m: 1, l: 1, h: 1}?\n' | b'1/7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 2, f: 2, o: 2, c: 3}. Give prob of picking 1 l and 3 c.\n' | b'1/63\n' | b'Four letters picked without replacement from {l: 2, f: 2, o: 2, c: 3}. Give prob of picking 1 l and 3 c.\n' | b'1/63\n' | deepmind/math_dataset |
b'Let g(b) be the second derivative of b**5/20 + b**4/6 + b**3/6 + 2*b. Let h be g(2). Suppose 14*u + h = 17*u. Solve 5*j + 3*d + 37 = u, 0 = -5*j - d - 27 for j.\n' | b'-5\n' | b'Let g(b) be the second derivative of b**5/20 + b**4/6 + b**3/6 + 2*b. Let h be g(2). Suppose 14*u + h = 17*u. Solve 5*j + 3*d + 37 = u, 0 = -5*j - d - 27 for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (r**0)**(7/2)/(r**(-5/3)/((r**3/r)/r))*((r*r/((r*r**(4/9))/r*r))/r**(5/6))/(r**0/r)**(-46) assuming r is positive.\n' | b'r**(-785/18)\n' | b'Simplify (r**0)**(7/2)/(r**(-5/3)/((r**3/r)/r))*((r*r/((r*r**(4/9))/r*r))/r**(5/6))/(r**0/r)**(-46) assuming r is positive.\n' | b'r**(-785/18)\n' | deepmind/math_dataset |
b'Simplify ((w*w*w**2*w)**28)**(-2/23) assuming w is positive.\n' | b'w**(-280/23)\n' | b'Simplify ((w*w*w**2*w)**28)**(-2/23) assuming w is positive.\n' | b'w**(-280/23)\n' | deepmind/math_dataset |
b'Simplify ((p**13/p)**(3/5)*(((p/(p*p*p**(24/11)))/p*p)/p)**(-7/8))**(-5/3) assuming p is positive.\n' | b'p**(-2389/132)\n' | b'Simplify ((p**13/p)**(3/5)*(((p/(p*p*p**(24/11)))/p*p)/p)**(-7/8))**(-5/3) assuming p is positive.\n' | b'p**(-2389/132)\n' | deepmind/math_dataset |
b'Suppose 13 + 2 = 3*r, 5*t = 5*r. Let b = -30680 - -30682. Solve s = d - 7, -d + 5 = -b*d - t*s for d.\n' | b'5\n' | b'Suppose 13 + 2 = 3*r, 5*t = 5*r. Let b = -30680 - -30682. Solve s = d - 7, -d + 5 = -b*d - t*s for d.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -2*l + 0 = -2. Let h be (-2 - -13)/1*l. Suppose 9 = -0*g + 3*g. Solve 0 = 4*c + 2*u - g*u - 1, -5*u + h = -4*c for c.\n' | b'1\n' | b'Suppose -2*l + 0 = -2. Let h be (-2 - -13)/1*l. Suppose 9 = -0*g + 3*g. Solve 0 = 4*c + 2*u - g*u - 1, -5*u + h = -4*c for c.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (o**9/o**(-6/5))**(-3/50)*(o**(2/3)/o*o*(o**(-3/11)/o)/o)**45 assuming o is positive.\n' | b'o**(-200433/2750)\n' | b'Simplify (o**9/o**(-6/5))**(-3/50)*(o**(2/3)/o*o*(o**(-3/11)/o)/o)**45 assuming o is positive.\n' | b'o**(-200433/2750)\n' | deepmind/math_dataset |
b'Let k be (0 - 1) + (7 - 4). Find the second derivative of 12*y - 12*y - 9*y - k*y**2 wrt y.\n' | b'-4\n' | b'Let k be (0 - 1) + (7 - 4). Find the second derivative of 12*y - 12*y - 9*y - k*y**2 wrt y.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 3, v: 1, x: 3, q: 1, s: 2, y: 2}. What is prob of sequence xyx?\n' | b'1/110\n' | b'Three letters picked without replacement from {k: 3, v: 1, x: 3, q: 1, s: 2, y: 2}. What is prob of sequence xyx?\n' | b'1/110\n' | deepmind/math_dataset |
b'Find the second derivative of 781 - 6530*t**2 - t - 21*t - 706 wrt t.\n' | b'-13060\n' | b'Find the second derivative of 781 - 6530*t**2 - t - 21*t - 706 wrt t.\n' | b'-13060\n' | deepmind/math_dataset |
b'Let i = -41 - -45. Let x(s) = 6 + 7 - i - 1 - 6*s**2 - s**3 + 7*s. Give x(-7).\n' | b'8\n' | b'Let i = -41 - -45. Let x(s) = 6 + 7 - i - 1 - 6*s**2 - s**3 + 7*s. Give x(-7).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify ((b**(2/15)*b*b)**(-22/3)/(b*b**(1/4))**(-17))**(-11) assuming b is positive.\n' | b'b**(-11099/180)\n' | b'Simplify ((b**(2/15)*b*b)**(-22/3)/(b*b**(1/4))**(-17))**(-11) assuming b is positive.\n' | b'b**(-11099/180)\n' | deepmind/math_dataset |
b'What is prob of picking 1 o, 1 z, and 1 d when three letters picked without replacement from zoozoznobozzdzzbooo?\n' | b'56/969\n' | b'What is prob of picking 1 o, 1 z, and 1 d when three letters picked without replacement from zoozoznobozzdzzbooo?\n' | b'56/969\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mefffmefmmemom. What is prob of picking 1 m, 1 f, and 1 o?\n' | b'6/91\n' | b'Three letters picked without replacement from mefffmefmmemom. What is prob of picking 1 m, 1 f, and 1 o?\n' | b'6/91\n' | deepmind/math_dataset |
b'Let x(m) be the first derivative of -m**4/3 - 17*m**3/6 - 15*m**2/2 + 11. Let l(z) be the second derivative of x(z). Find the first derivative of l(j) wrt j.\n' | b'-8\n' | b'Let x(m) be the first derivative of -m**4/3 - 17*m**3/6 - 15*m**2/2 + 11. Let l(z) be the second derivative of x(z). Find the first derivative of l(j) wrt j.\n' | b'-8\n' | deepmind/math_dataset |
b'Let m be 1/4 + (-3)/12. Suppose 3*k - l - 14 = m, -6*l = -2*k - l + 31. Solve -9 = 2*a + i, -4*i = -i - k for a.\n' | b'-5\n' | b'Let m be 1/4 + (-3)/12. Suppose 3*k - l - 14 = m, -6*l = -2*k - l + 31. Solve -9 = 2*a + i, -4*i = -i - k for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bktqbtkktttq. Give prob of sequence tbk.\n' | b'1/44\n' | b'Three letters picked without replacement from bktqbtkktttq. Give prob of sequence tbk.\n' | b'1/44\n' | deepmind/math_dataset |
b'Let d(v) = 6*v**2 + 2*v + 1. Let j be d(-2). Suppose -m - 2 = t, -4*m + 3*t + j = 1. Suppose 2*q = -m*q + 104. Solve 2*y - q = -4*i, -24 = i - 2*i - 4*y for i.\n' | b'4\n' | b'Let d(v) = 6*v**2 + 2*v + 1. Let j be d(-2). Suppose -m - 2 = t, -4*m + 3*t + j = 1. Suppose 2*q = -m*q + 104. Solve 2*y - q = -4*i, -24 = i - 2*i - 4*y for i.\n' | b'4\n' | deepmind/math_dataset |
b'Let l(f) = -4935*f**3 + 20*f**2 + 136. Let o(c) = -3*c**2 + 1. Let y(q) = -l(q) - 5*o(q). Find the third derivative of y(s) wrt s.\n' | b'29610\n' | b'Let l(f) = -4935*f**3 + 20*f**2 + 136. Let o(c) = -3*c**2 + 1. Let y(q) = -l(q) - 5*o(q). Find the third derivative of y(s) wrt s.\n' | b'29610\n' | deepmind/math_dataset |
b'Let p(c) be the third derivative of 0 + 1/12*c**5 - 7/24*c**4 + 1/120*c**6 + 0*c - 1/2*c**3 + 6*c**2. Give p(-6).\n' | b'3\n' | b'Let p(c) be the third derivative of 0 + 1/12*c**5 - 7/24*c**4 + 1/120*c**6 + 0*c - 1/2*c**3 + 6*c**2. Give p(-6).\n' | b'3\n' | deepmind/math_dataset |
b'Let m(k) = -k**3 - 2*k**2 + 6*k + 6. Suppose -4*g = 83 - 67. Give m(g).\n' | b'14\n' | b'Let m(k) = -k**3 - 2*k**2 + 6*k + 6. Suppose -4*g = 83 - 67. Give m(g).\n' | b'14\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jrzjjjrrjjjrj. Give prob of picking 1 j and 1 z.\n' | b'4/39\n' | b'Two letters picked without replacement from jrzjjjrrjjjrj. Give prob of picking 1 j and 1 z.\n' | b'4/39\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ffffahppohppaofhfa. What is prob of picking 2 a and 2 f?\n' | b'1/68\n' | b'Four letters picked without replacement from ffffahppohppaofhfa. What is prob of picking 2 a and 2 f?\n' | b'1/68\n' | deepmind/math_dataset |
b'Let l = 5 - 27. Let t(v) be the third derivative of v**5/60 + 11*v**4/12 - 5*v**3/6 + 2*v**2 - 116*v + 9. Determine t(l).\n' | b'-5\n' | b'Let l = 5 - 27. Let t(v) be the third derivative of v**5/60 + 11*v**4/12 - 5*v**3/6 + 2*v**2 - 116*v + 9. Determine t(l).\n' | b'-5\n' | deepmind/math_dataset |
b'Let u(p) be the second derivative of -p**5/20 - 7*p**4/12 - 4*p**3/3 + 9*p**2 + 547*p + 3. What is u(-5)?\n' | b'8\n' | b'Let u(p) be the second derivative of -p**5/20 - 7*p**4/12 - 4*p**3/3 + 9*p**2 + 547*p + 3. What is u(-5)?\n' | b'8\n' | deepmind/math_dataset |
b'Simplify ((b**(-17)*b)/(b*b**(-2/21)))/(b**(-3/14))**(1/43) assuming b is positive.\n' | b'b**(-30521/1806)\n' | b'Simplify ((b**(-17)*b)/(b*b**(-2/21)))/(b**(-3/14))**(1/43) assuming b is positive.\n' | b'b**(-30521/1806)\n' | deepmind/math_dataset |
b'Suppose -4*d - 19 = 41. Let s = -11 - d. Find the third derivative of c**2 + c**2 - s*c**2 + 2*c**6 wrt c.\n' | b'240*c**3\n' | b'Suppose -4*d - 19 = 41. Let s = -11 - d. Find the third derivative of c**2 + c**2 - s*c**2 + 2*c**6 wrt c.\n' | b'240*c**3\n' | deepmind/math_dataset |
b'Let v(x) = -x**2 + 9*x - 10. Let d be v(9). Let f(s) = s**2 + 10*s - 5. Calculate f(d).\n' | b'-5\n' | b'Let v(x) = -x**2 + 9*x - 10. Let d be v(9). Let f(s) = s**2 + 10*s - 5. Calculate f(d).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (s/(s**(-3)/s)*(s/(s**(-1)/s)*s)/s*s**4/s*(s**(1/9)/s)/s*s)**47 assuming s is positive.\n' | b's**(4277/9)\n' | b'Simplify (s/(s**(-3)/s)*(s/(s**(-1)/s)*s)/s*s**4/s*(s**(1/9)/s)/s*s)**47 assuming s is positive.\n' | b's**(4277/9)\n' | deepmind/math_dataset |
b'Let p = 2 - 2. Let m = -55 - -58. Solve -2*f + 4*f - 5*q - 14 = p, 3*q = m*f - 3 for f.\n' | b'-3\n' | b'Let p = 2 - 2. Let m = -55 - -58. Solve -2*f + 4*f - 5*q - 14 = p, 3*q = m*f - 3 for f.\n' | b'-3\n' | deepmind/math_dataset |
b'Let u = -56 + 56. Suppose u = 5*s - 0*s + 3*k - 1, 3*s - k = 9. Find the third derivative of -17*a**4 + a**s + 4 - 4 - 15*a**2 wrt a.\n' | b'-408*a\n' | b'Let u = -56 + 56. Suppose u = 5*s - 0*s + 3*k - 1, 3*s - k = 9. Find the third derivative of -17*a**4 + a**s + 4 - 4 - 15*a**2 wrt a.\n' | b'-408*a\n' | deepmind/math_dataset |
b'What is prob of sequence mtm when three letters picked without replacement from {m: 8, t: 3}?\n' | b'28/165\n' | b'What is prob of sequence mtm when three letters picked without replacement from {m: 8, t: 3}?\n' | b'28/165\n' | deepmind/math_dataset |
b'Suppose 2*r - 6 = 4*n, n - 11 = 3*r - n. Let t be (-2)/r - (-52)/14. Solve -3*f + 4 = t*m + m, -2*m + 4*f + 12 = 0 for m.\n' | b'2\n' | b'Suppose 2*r - 6 = 4*n, n - 11 = 3*r - n. Let t be (-2)/r - (-52)/14. Solve -3*f + 4 = t*m + m, -2*m + 4*f + 12 = 0 for m.\n' | b'2\n' | deepmind/math_dataset |
b'Let x = 28 - 31. Let z be 12/(-3)*(x - -2). Differentiate -12*l**2 + 4*l**2 - 2*l**2 - z with respect to l.\n' | b'-20*l\n' | b'Let x = 28 - 31. Let z be 12/(-3)*(x - -2). Differentiate -12*l**2 + 4*l**2 - 2*l**2 - z with respect to l.\n' | b'-20*l\n' | deepmind/math_dataset |
b'What is prob of picking 2 p when two letters picked without replacement from pppppzzppppp?\n' | b'15/22\n' | b'What is prob of picking 2 p when two letters picked without replacement from pppppzzppppp?\n' | b'15/22\n' | deepmind/math_dataset |
b'What is prob of picking 2 a when two letters picked without replacement from {d: 6, a: 2, e: 4}?\n' | b'1/66\n' | b'What is prob of picking 2 a when two letters picked without replacement from {d: 6, a: 2, e: 4}?\n' | b'1/66\n' | deepmind/math_dataset |
b'Let p(k) be the second derivative of -1/6*k**4 - 1/42*k**7 + 0*k**6 + 0*k**5 + 0*k**2 + 0*k**3 + k + 0. What is the third derivative of p(q) wrt q?\n' | b'-60*q**2\n' | b'Let p(k) be the second derivative of -1/6*k**4 - 1/42*k**7 + 0*k**6 + 0*k**5 + 0*k**2 + 0*k**3 + k + 0. What is the third derivative of p(q) wrt q?\n' | b'-60*q**2\n' | deepmind/math_dataset |
b'Let b be 1104/264 + (-2)/11. Suppose -2*g + 6 + b = 0. Solve -5*r - 5 = -g*i, i - 3*r - 7 = r for i.\n' | b'-1\n' | b'Let b be 1104/264 + (-2)/11. Suppose -2*g + 6 + b = 0. Solve -5*r - 5 = -g*i, i - 3*r - 7 = r for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Let f(m) = -2*m**3 + 12 - m + 4*m**2 - 3*m - 9. Suppose -47*d + 4 = -45*d - 2*l, -3*d - 3*l = -6. Calculate f(d).\n' | b'-5\n' | b'Let f(m) = -2*m**3 + 12 - m + 4*m**2 - 3*m - 9. Suppose -47*d + 4 = -45*d - 2*l, -3*d - 3*l = -6. Calculate f(d).\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence av when two letters picked without replacement from vaa.\n' | b'1/3\n' | b'Calculate prob of sequence av when two letters picked without replacement from vaa.\n' | b'1/3\n' | deepmind/math_dataset |
b'Suppose -20 - 13 = -3*i. What is the third derivative of 2*p**3 - i*p + 11*p + 2*p**2 wrt p?\n' | b'12\n' | b'Suppose -20 - 13 = -3*i. What is the third derivative of 2*p**3 - i*p + 11*p + 2*p**2 wrt p?\n' | b'12\n' | deepmind/math_dataset |
b'Let z(o) be the second derivative of 261*o**3/2 - 98*o**2 - 107*o. Differentiate z(d) with respect to d.\n' | b'783\n' | b'Let z(o) be the second derivative of 261*o**3/2 - 98*o**2 - 107*o. Differentiate z(d) with respect to d.\n' | b'783\n' | deepmind/math_dataset |
b'Three letters picked without replacement from giaiggicfigi. Give prob of picking 2 c and 1 f.\n' | b'0\n' | b'Three letters picked without replacement from giaiggicfigi. Give prob of picking 2 c and 1 f.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify t/((t/(t**(-3)/t))/t)*t/(t**(2/17)*t)*t**10*t**(2/3) assuming t is positive.\n' | b't**(385/51)\n' | b'Simplify t/((t/(t**(-3)/t))/t)*t/(t**(2/17)*t)*t**10*t**(2/3) assuming t is positive.\n' | b't**(385/51)\n' | deepmind/math_dataset |
b'Simplify ((q*q/q**(-1/2))**40)**(-1/37)*(((q**(1/4)*q)/q)/q**3)/(q*q**(-1)*q/(q/q**(-1/6))) assuming q is positive.\n' | b'q**(-2347/444)\n' | b'Simplify ((q*q/q**(-1/2))**40)**(-1/37)*(((q**(1/4)*q)/q)/q**3)/(q*q**(-1)*q/(q/q**(-1/6))) assuming q is positive.\n' | b'q**(-2347/444)\n' | deepmind/math_dataset |
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