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 sequence rr when two letters picked without replacement from {s: 1, w: 1, v: 1, r: 10}?\n' | b'15/26\n' | b'What is prob of sequence rr when two letters picked without replacement from {s: 1, w: 1, v: 1, r: 10}?\n' | b'15/26\n' | deepmind/math_dataset |
b'Suppose 38 + 47 = 5*h. Find the third derivative of 3 + 55*i**2 - 2 - 160*i**4 - h*i**3 + 5*i**2 + 158*i**4 wrt i.\n' | b'-48*i - 102\n' | b'Suppose 38 + 47 = 5*h. Find the third derivative of 3 + 55*i**2 - 2 - 160*i**4 - h*i**3 + 5*i**2 + 158*i**4 wrt i.\n' | b'-48*i - 102\n' | deepmind/math_dataset |
b'Let n(z) be the first derivative of -z**7/40 + 9*z**4/2 - 10*z**3 - 53. Let d(f) be the third derivative of n(f). Differentiate d(m) with respect to m.\n' | b'-63*m**2\n' | b'Let n(z) be the first derivative of -z**7/40 + 9*z**4/2 - 10*z**3 - 53. Let d(f) be the third derivative of n(f). Differentiate d(m) with respect to m.\n' | b'-63*m**2\n' | deepmind/math_dataset |
b'Simplify ((c**(-1/4)/c)**(-9/5)*(c/c**(1/8)*c)/c**(1/5))/((c**(2/15)/c*c)/(c**(3/13)/c))**(-1/9) assuming c is positive.\n' | b'c**(11303/2808)\n' | b'Simplify ((c**(-1/4)/c)**(-9/5)*(c/c**(1/8)*c)/c**(1/5))/((c**(2/15)/c*c)/(c**(3/13)/c))**(-1/9) assuming c is positive.\n' | b'c**(11303/2808)\n' | deepmind/math_dataset |
b'Suppose 37*z - 206 - 410 = 938. Solve 1 = 2*u + q, 3*u + z*q - 47*q = -5 for u.\n' | b'0\n' | b'Suppose 37*z - 206 - 410 = 938. Solve 1 = 2*u + q, 3*u + z*q - 47*q = -5 for u.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (o/(o*(o**(-11)*o)/o))/((o**(-4)/o)/o) assuming o is positive.\n' | b'o**17\n' | b'Simplify (o/(o*(o**(-11)*o)/o))/((o**(-4)/o)/o) assuming o is positive.\n' | b'o**17\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 3, l: 3, m: 2, i: 1, o: 2, a: 1}. Give prob of sequence moo.\n' | b'1/330\n' | b'Three letters picked without replacement from {b: 3, l: 3, m: 2, i: 1, o: 2, a: 1}. Give prob of sequence moo.\n' | b'1/330\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zzzzzznzwzzzz. What is prob of picking 1 n and 3 z?\n' | b'3/13\n' | b'Four letters picked without replacement from zzzzzznzwzzzz. What is prob of picking 1 n and 3 z?\n' | b'3/13\n' | deepmind/math_dataset |
b'Let k(l) be the first derivative of -l**3/3 - 7*l**2/2 - 4*l - 3. Let c(i) = 4*i + 51. Let d be c(-14). Let j be 2*d/((-50)/(-35)). What is k(j)?\n' | b'-4\n' | b'Let k(l) be the first derivative of -l**3/3 - 7*l**2/2 - 4*l - 3. Let c(i) = 4*i + 51. Let d be c(-14). Let j be 2*d/((-50)/(-35)). What is k(j)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let p = -161 - -176. Solve 2*s - 18 = 4*r, 6*r = 4*r + 3*s - p for r.\n' | b'-3\n' | b'Let p = -161 - -176. Solve 2*s - 18 = 4*r, 6*r = 4*r + 3*s - p for r.\n' | b'-3\n' | deepmind/math_dataset |
b'Let i(x) = x**2 + 19*x + 24. Let p be i(-18). Let d = -2 + p. Solve g - 2 = 2*o + o, -g + 9 = d*o for o.\n' | b'1\n' | b'Let i(x) = x**2 + 19*x + 24. Let p be i(-18). Let d = -2 + p. Solve g - 2 = 2*o + o, -g + 9 = d*o for o.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (t/t**(-23))/((t*t**(-26))/t*t) assuming t is positive.\n' | b't**49\n' | b'Simplify (t/t**(-23))/((t*t**(-26))/t*t) assuming t is positive.\n' | b't**49\n' | deepmind/math_dataset |
b'Simplify ((v/((v*v/(v*v**(-1/3)))/v))/v)**31/(v**(3/10)*v/v**(-4/27)) assuming v is positive.\n' | b'v**(-3181/270)\n' | b'Simplify ((v/((v*v/(v*v**(-1/3)))/v))/v)**31/(v**(3/10)*v/v**(-4/27)) assuming v is positive.\n' | b'v**(-3181/270)\n' | deepmind/math_dataset |
b'Simplify (a*a*a**(-2/11))**39/((a**4/a*a)/(a**(-1/10)*a)) assuming a is positive.\n' | b'a**(7459/110)\n' | b'Simplify (a*a*a**(-2/11))**39/((a**4/a*a)/(a**(-1/10)*a)) assuming a is positive.\n' | b'a**(7459/110)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 1, k: 2, f: 1, o: 1, d: 1, x: 1}. What is prob of picking 1 k, 1 d, and 1 x?\n' | b'2/35\n' | b'Three letters picked without replacement from {e: 1, k: 2, f: 1, o: 1, d: 1, x: 1}. What is prob of picking 1 k, 1 d, and 1 x?\n' | b'2/35\n' | deepmind/math_dataset |
b'Let t(n) = -n + 7. Let g be t(7). Let q be ((-159)/848)/((-6)/88) + 2/8. Solve -4*b + u + 16 = g, 11 - q = 2*b + 5*u for b.\n' | b'4\n' | b'Let t(n) = -n + 7. Let g be t(7). Let q be ((-159)/848)/((-6)/88) + 2/8. Solve -4*b + u + 16 = g, 11 - q = 2*b + 5*u for b.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence eke when three letters picked without replacement from ekekkkkeee.\n' | b'5/36\n' | b'Calculate prob of sequence eke when three letters picked without replacement from ekekkkkeee.\n' | b'5/36\n' | deepmind/math_dataset |
b'Simplify (b**4/b**(-3/7))**20*(b/(b/(b**(-4)/b)))/b**(-6/7)*((b**0*b*b)/b)**35 assuming b is positive.\n' | b'b**(836/7)\n' | b'Simplify (b**4/b**(-3/7))**20*(b/(b/(b**(-4)/b)))/b**(-6/7)*((b**0*b*b)/b)**35 assuming b is positive.\n' | b'b**(836/7)\n' | deepmind/math_dataset |
b'Let t(r) be the second derivative of -r**8/3360 + r**5/120 + r**4/6 + r. Let y(a) be the third derivative of t(a). Find the first derivative of y(p) wrt p.\n' | b'-6*p**2\n' | b'Let t(r) be the second derivative of -r**8/3360 + r**5/120 + r**4/6 + r. Let y(a) be the third derivative of t(a). Find the first derivative of y(p) wrt p.\n' | b'-6*p**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 1, i: 2, g: 7, c: 1, n: 6}. What is prob of picking 2 n and 2 g?\n' | b'9/68\n' | b'Four letters picked without replacement from {x: 1, i: 2, g: 7, c: 1, n: 6}. What is prob of picking 2 n and 2 g?\n' | b'9/68\n' | deepmind/math_dataset |
b'Let q be 1212/(-2222)*(-33)/6. Suppose -4*g + 7*g - 54 = 0. Solve 3*u + r = -5 - q, 3*r - g = 5*u for u.\n' | b'-3\n' | b'Let q be 1212/(-2222)*(-33)/6. Suppose -4*g + 7*g - 54 = 0. Solve 3*u + r = -5 - q, 3*r - g = 5*u for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Let c = -4 + 7. Suppose c*f = 8*f - 10. Solve -f*y = k - 4, y + 4*y = -2*k + 11 for k.\n' | b'-2\n' | b'Let c = -4 + 7. Suppose c*f = 8*f - 10. Solve -f*y = k - 4, y + 4*y = -2*k + 11 for k.\n' | b'-2\n' | deepmind/math_dataset |
b'What is the first derivative of 133*u**2 + 6*u**2 - 73 + 645*u**2 - 239 wrt u?\n' | b'1568*u\n' | b'What is the first derivative of 133*u**2 + 6*u**2 - 73 + 645*u**2 - 239 wrt u?\n' | b'1568*u\n' | deepmind/math_dataset |
b'Simplify m**(-7)*m/((m/m**6)/m*m)*m/(m/(m**(-10/7)*m))*(m*m/m**(-5))/m assuming m is positive.\n' | b'm**(32/7)\n' | b'Simplify m**(-7)*m/((m/m**6)/m*m)*m/(m/(m**(-10/7)*m))*(m*m/m**(-5))/m assuming m is positive.\n' | b'm**(32/7)\n' | deepmind/math_dataset |
b'Let k(d) = -3552*d + 1860. Let b(u) = -273*u + 143. Let z(t) = -27*b(t) + 2*k(t). What is the first derivative of z(i) wrt i?\n' | b'267\n' | b'Let k(d) = -3552*d + 1860. Let b(u) = -273*u + 143. Let z(t) = -27*b(t) + 2*k(t). What is the first derivative of z(i) wrt i?\n' | b'267\n' | deepmind/math_dataset |
b'Simplify (f/f**(-2/49)*f)/f**(-1/4) assuming f is positive.\n' | b'f**(449/196)\n' | b'Simplify (f/f**(-2/49)*f)/f**(-1/4) assuming f is positive.\n' | b'f**(449/196)\n' | deepmind/math_dataset |
b'What is prob of picking 2 q when two letters picked without replacement from ekzqkqqzqzk?\n' | b'6/55\n' | b'What is prob of picking 2 q when two letters picked without replacement from ekzqkqqzqzk?\n' | b'6/55\n' | deepmind/math_dataset |
b'Simplify (f**(-3/2)/f)/(f/f**(-3))*(f**(1/3)*f)**(2/9) assuming f is positive.\n' | b'f**(-335/54)\n' | b'Simplify (f**(-3/2)/f)/(f/f**(-3))*(f**(1/3)*f)**(2/9) assuming f is positive.\n' | b'f**(-335/54)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from rykyrlrlrq. Give prob of picking 1 q, 2 r, and 1 l.\n' | b'2/35\n' | b'Four letters picked without replacement from rykyrlrlrq. Give prob of picking 1 q, 2 r, and 1 l.\n' | b'2/35\n' | deepmind/math_dataset |
b'Simplify ((f/((f/f**5*f*f*f)/f)*f)/(f*f*f*f**(1/7)))/(f**(-3)*f**(-6)) assuming f is positive.\n' | b'f**(69/7)\n' | b'Simplify ((f/((f/f**5*f*f*f)/f)*f)/(f*f*f*f**(1/7)))/(f**(-3)*f**(-6)) assuming f is positive.\n' | b'f**(69/7)\n' | deepmind/math_dataset |
b'Let g = 3 + -1. Let r(d) = -2*d - 7. Let h be r(-5). Find the first derivative of -h*x**g - 3 + 3*x**2 - x**4 wrt x.\n' | b'-4*x**3\n' | b'Let g = 3 + -1. Let r(d) = -2*d - 7. Let h be r(-5). Find the first derivative of -h*x**g - 3 + 3*x**2 - x**4 wrt x.\n' | b'-4*x**3\n' | deepmind/math_dataset |
b'What is prob of sequence libn when four letters picked without replacement from {b: 1, r: 1, i: 1, l: 1, n: 1}?\n' | b'1/120\n' | b'What is prob of sequence libn when four letters picked without replacement from {b: 1, r: 1, i: 1, l: 1, n: 1}?\n' | b'1/120\n' | deepmind/math_dataset |
b'Let h(d) = -231*d + 229. Let i = 2 - -6. Let t(r) = 347*r - 344. Let y(f) = i*h(f) + 5*t(f). Differentiate y(v) wrt v.\n' | b'-113\n' | b'Let h(d) = -231*d + 229. Let i = 2 - -6. Let t(r) = 347*r - 344. Let y(f) = i*h(f) + 5*t(f). Differentiate y(v) wrt v.\n' | b'-113\n' | deepmind/math_dataset |
b'Let f be 1/(1 - (-2)/(-4)). What is the second derivative of -3*x**2 + f*x + 2*x**3 + 3*x**2 wrt x?\n' | b'12*x\n' | b'Let f be 1/(1 - (-2)/(-4)). What is the second derivative of -3*x**2 + f*x + 2*x**3 + 3*x**2 wrt x?\n' | b'12*x\n' | deepmind/math_dataset |
b'Suppose 12 = 4*c, 4*c = -2*l + 21 - 7. Let r(k) = -9*k. Determine r(l).\n' | b'-9\n' | b'Suppose 12 = 4*c, 4*c = -2*l + 21 - 7. Let r(k) = -9*k. Determine r(l).\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify (((q*q*(q*q/(q**(1/2)/q)*q)/q*q*q)**(-36)/(((q/(q*q**3/q))/q)/(q/(q/q**(-4/3)))))**9)**(5/3) assuming q is positive.\n' | b'q**(-3485)\n' | b'Simplify (((q*q*(q*q/(q**(1/2)/q)*q)/q*q*q)**(-36)/(((q/(q*q**3/q))/q)/(q/(q/q**(-4/3)))))**9)**(5/3) assuming q is positive.\n' | b'q**(-3485)\n' | deepmind/math_dataset |
b'Suppose -84*v + 158 = 178 - 608. Solve -4*p = -z + 18, 3 + v = -3*p - z for p.\n' | b'-4\n' | b'Suppose -84*v + 158 = 178 - 608. Solve -4*p = -z + 18, 3 + v = -3*p - z for p.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -12*r - 16*r = -59*r. Solve -4*t - m - 15 = r, 29*m + 5 = 30*m for t.\n' | b'-5\n' | b'Suppose -12*r - 16*r = -59*r. Solve -4*t - m - 15 = r, 29*m + 5 = 30*m for t.\n' | b'-5\n' | deepmind/math_dataset |
b'Let u(x) be the third derivative of x**5/60 + 3*x**4/8 - 4*x**3/3 - 146*x**2. Give u(-6).\n' | b'-26\n' | b'Let u(x) be the third derivative of x**5/60 + 3*x**4/8 - 4*x**3/3 - 146*x**2. Give u(-6).\n' | b'-26\n' | deepmind/math_dataset |
b'Let b(v) be the third derivative of -4/105*v**7 - 20*v**2 + 0*v + 0*v**6 + 0 + 19/60*v**5 + 0*v**4 + 0*v**3. What is the third derivative of b(r) wrt r?\n' | b'-192*r\n' | b'Let b(v) be the third derivative of -4/105*v**7 - 20*v**2 + 0*v + 0*v**6 + 0 + 19/60*v**5 + 0*v**4 + 0*v**3. What is the third derivative of b(r) wrt r?\n' | b'-192*r\n' | deepmind/math_dataset |
b'Let z(b) = 3*b - 10. Suppose -4*l + 13 = -7. Let h be z(l). Find the second derivative of 3*p**4 - p**4 + 3*p**4 + 7*p - h*p wrt p.\n' | b'60*p**2\n' | b'Let z(b) = 3*b - 10. Suppose -4*l + 13 = -7. Let h be z(l). Find the second derivative of 3*p**4 - p**4 + 3*p**4 + 7*p - h*p wrt p.\n' | b'60*p**2\n' | deepmind/math_dataset |
b'Let p(m) = -56*m + 29. Let z(q) = -3*q - 2. Let d = -44 + 47. Let u be z(d). Let w(j) = 11*j - 6. Let i(y) = u*w(y) - 2*p(y). Differentiate i(s) wrt s.\n' | b'-9\n' | b'Let p(m) = -56*m + 29. Let z(q) = -3*q - 2. Let d = -44 + 47. Let u be z(d). Let w(j) = 11*j - 6. Let i(y) = u*w(y) - 2*p(y). Differentiate i(s) wrt s.\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify ((p**(-2)/p)/(p**(1/27)*p*p))/((p*p**(-10))/(p/p**11)) assuming p is positive.\n' | b'p**(-163/27)\n' | b'Simplify ((p**(-2)/p)/(p**(1/27)*p*p))/((p*p**(-10))/(p/p**11)) assuming p is positive.\n' | b'p**(-163/27)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xyyq. What is prob of sequence xyy?\n' | b'1/12\n' | b'Three letters picked without replacement from xyyq. What is prob of sequence xyy?\n' | b'1/12\n' | deepmind/math_dataset |
b'What is the third derivative of -375*o**3 + 190*o**3 - 38*o**2 + 184*o**3 wrt o?\n' | b'-6\n' | b'What is the third derivative of -375*o**3 + 190*o**3 - 38*o**2 + 184*o**3 wrt o?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (((c/((c**17*c)/c))/c)/(c*c*c**(-1/22)*c))/((c*c**(-42)/c)/(c/(c*(c**(-10/3)*c*c)/c))) assuming c is positive.\n' | b'c**(1609/66)\n' | b'Simplify (((c/((c**17*c)/c))/c)/(c*c*c**(-1/22)*c))/((c*c**(-42)/c)/(c/(c*(c**(-10/3)*c*c)/c))) assuming c is positive.\n' | b'c**(1609/66)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 11, w: 1, t: 2, m: 1}. Give prob of picking 1 l and 1 t.\n' | b'22/105\n' | b'Two letters picked without replacement from {l: 11, w: 1, t: 2, m: 1}. Give prob of picking 1 l and 1 t.\n' | b'22/105\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 k and 2 v when four letters picked without replacement from ddvkvkrdrdru.\n' | b'1/495\n' | b'Calculate prob of picking 2 k and 2 v when four letters picked without replacement from ddvkvkrdrdru.\n' | b'1/495\n' | deepmind/math_dataset |
b'Suppose -4*v + 2*o - 66 = 0, 2*o - 82 = 5*v - 0*o. Let w be (v - (-4 + 2))/(4/(-2)). Let r be -1*2/(-1) + 4. Solve 3*l = -5*q + w*l + 12, q - 5*l + r = 0 for q.\n' | b'4\n' | b'Suppose -4*v + 2*o - 66 = 0, 2*o - 82 = 5*v - 0*o. Let w be (v - (-4 + 2))/(4/(-2)). Let r be -1*2/(-1) + 4. Solve 3*l = -5*q + w*l + 12, q - 5*l + r = 0 for q.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 3*f + 0*t = t - 23, 5*t = 3*f + 43. Let j(p) = 4*p**3 + 13*p. Let c(g) = -2*g**3 - 6*g. Let r(a) = f*j(a) - 13*c(a). Let x = -10 + 9. What is r(x)?\n' | b'-2\n' | b'Suppose 3*f + 0*t = t - 23, 5*t = 3*f + 43. Let j(p) = 4*p**3 + 13*p. Let c(g) = -2*g**3 - 6*g. Let r(a) = f*j(a) - 13*c(a). Let x = -10 + 9. What is r(x)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let v be 4/(-10) + 6/(-10). Let y(p) = p**3 - 7*p**2 + 6*p + 1. Let m be y(6). Let t = m - v. Solve -t*i + 0 = h + 1, 10 = -5*i - h for i.\n' | b'-3\n' | b'Let v be 4/(-10) + 6/(-10). Let y(p) = p**3 - 7*p**2 + 6*p + 1. Let m be y(6). Let t = m - v. Solve -t*i + 0 = h + 1, 10 = -5*i - h for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Let j(u) = u + 15. Let b be j(0). Let f = 5 + -14. Let n(d) = -d**3 - 10*d**2 - 9*d + 3. Let x be n(f). Solve 4*l - w = b, -4*l + 2*w + 17 = x*w for l.\n' | b'4\n' | b'Let j(u) = u + 15. Let b be j(0). Let f = 5 + -14. Let n(d) = -d**3 - 10*d**2 - 9*d + 3. Let x be n(f). Solve 4*l - w = b, -4*l + 2*w + 17 = x*w for l.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose z = 4*c, 3*c = 4*z - c - 24. Let y(i) = -i + 9. Let j be y(z). Let d(l) be the third derivative of l**4/8 + 2*l**2. Calculate d(j).\n' | b'3\n' | b'Suppose z = 4*c, 3*c = 4*z - c - 24. Let y(i) = -i + 9. Let j be y(z). Let d(l) be the third derivative of l**4/8 + 2*l**2. Calculate d(j).\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -2*a = -4*a. Let p be ((1 - 0) + a)*5. Let f(z) = 0*z + 4*z - p*z + 7*z**2. Calculate f(1).\n' | b'6\n' | b'Suppose -2*a = -4*a. Let p be ((1 - 0) + a)*5. Let f(z) = 0*z + 4*z - p*z + 7*z**2. Calculate f(1).\n' | b'6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gagaa. What is prob of sequence aaa?\n' | b'1/10\n' | b'Three letters picked without replacement from gagaa. What is prob of sequence aaa?\n' | b'1/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zzzzzzzzzgzg. Give prob of sequence zg.\n' | b'5/33\n' | b'Two letters picked without replacement from zzzzzzzzzgzg. Give prob of sequence zg.\n' | b'5/33\n' | deepmind/math_dataset |
b'Let l be 3*2/6 - 0. Let u be (l - 3) + 4 + -3. Let z = 4 + u. Solve -z*f + 4*b - 1 = -2*f, 5 = -5*f - 5*b for f.\n' | b'-1\n' | b'Let l be 3*2/6 - 0. Let u be (l - 3) + 4 + -3. Let z = 4 + u. Solve -z*f + 4*b - 1 = -2*f, 5 = -5*f - 5*b for f.\n' | b'-1\n' | deepmind/math_dataset |
b'Let p(d) be the second derivative of -d**5/5 - d**4/12 + d**3/3 - d**2/2 + 4*d. Determine p(1).\n' | b'-4\n' | b'Let p(d) be the second derivative of -d**5/5 - d**4/12 + d**3/3 - d**2/2 + 4*d. Determine p(1).\n' | b'-4\n' | deepmind/math_dataset |
b'Let l(a) = -7*a**3 - 8*a**2 + 13*a. Let f(b) = 4*b**3 + 4*b**2 - 7*b. Suppose 16*p = 8 + 168. Let t(z) = p*f(z) + 6*l(z). Give t(3).\n' | b'21\n' | b'Let l(a) = -7*a**3 - 8*a**2 + 13*a. Let f(b) = 4*b**3 + 4*b**2 - 7*b. Suppose 16*p = 8 + 168. Let t(z) = p*f(z) + 6*l(z). Give t(3).\n' | b'21\n' | deepmind/math_dataset |
b'Suppose -w = 2*o - 9, -103*o + 4*w - 30 = -108*o. Solve -5*t - 2*x + 9 = -6*x, t = o*x - 3 for t.\n' | b'5\n' | b'Suppose -w = 2*o - 9, -103*o + 4*w - 30 = -108*o. Solve -5*t - 2*x + 9 = -6*x, t = o*x - 3 for t.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -12 - 7 = -s. Suppose -7 = 3*g - s. Solve 4*i + 5*d = 17, 0 = g*i - d - 1 - 10 for i.\n' | b'3\n' | b'Suppose -12 - 7 = -s. Suppose -7 = 3*g - s. Solve 4*i + 5*d = 17, 0 = g*i - d - 1 - 10 for i.\n' | b'3\n' | deepmind/math_dataset |
b'Let j(t) = -122*t - 199. Let k(h) = -334*h - 596. Let z(n) = 11*j(n) - 4*k(n). What is z(31)?\n' | b'9\n' | b'Let j(t) = -122*t - 199. Let k(h) = -334*h - 596. Let z(n) = 11*j(n) - 4*k(n). What is z(31)?\n' | b'9\n' | deepmind/math_dataset |
b'What is prob of sequence koko when four letters picked without replacement from kttkoktkoktkpkpkkt?\n' | b'1/510\n' | b'What is prob of sequence koko when four letters picked without replacement from kttkoktkoktkpkpkkt?\n' | b'1/510\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {t: 4, u: 1, f: 5, x: 1, s: 5}.\n' | b'1/24\n' | b'Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {t: 4, u: 1, f: 5, x: 1, s: 5}.\n' | b'1/24\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 d when two letters picked without replacement from {d: 5, m: 2, q: 2}.\n' | b'5/18\n' | b'Calculate prob of picking 2 d when two letters picked without replacement from {d: 5, m: 2, q: 2}.\n' | b'5/18\n' | deepmind/math_dataset |
b'Let v(u) be the third derivative of 0*u**4 - 23/120*u**6 - 1/60*u**5 - 5*u**2 + 0*u + 0*u**3 + 0. What is the third derivative of v(z) wrt z?\n' | b'-138\n' | b'Let v(u) be the third derivative of 0*u**4 - 23/120*u**6 - 1/60*u**5 - 5*u**2 + 0*u + 0*u**3 + 0. What is the third derivative of v(z) wrt z?\n' | b'-138\n' | deepmind/math_dataset |
b'Let j(s) = 159 - 77 - 75 + 21*s - 46 - s**2 - 39. Calculate j(17).\n' | b'-10\n' | b'Let j(s) = 159 - 77 - 75 + 21*s - 46 - s**2 - 39. Calculate j(17).\n' | b'-10\n' | deepmind/math_dataset |
b'What is prob of sequence jhwo when four letters picked without replacement from kljjlojklkjwoohlo?\n' | b'1/3570\n' | b'What is prob of sequence jhwo when four letters picked without replacement from kljjlojklkjwoohlo?\n' | b'1/3570\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ennxndnexndstnxnn. What is prob of sequence xtt?\n' | b'0\n' | b'Three letters picked without replacement from ennxndnexndstnxnn. What is prob of sequence xtt?\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 3*t + 8 = -o, -o + t + 16 = 2*o. Suppose -o*p = p - 10. Solve 3*n + j = 6, 2*j + 6 = p*n + n for n.\n' | b'2\n' | b'Suppose 3*t + 8 = -o, -o + t + 16 = 2*o. Suppose -o*p = p - 10. Solve 3*n + j = 6, 2*j + 6 = p*n + n for n.\n' | b'2\n' | deepmind/math_dataset |
b'Let u = 12880 - 12878. Solve 19*n - 2 = 5*r + 18*n, -r + u*n = -5 for r.\n' | b'-1\n' | b'Let u = 12880 - 12878. Solve 19*n - 2 = 5*r + 18*n, -r + u*n = -5 for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 1, c: 2, d: 1, z: 1}. Give prob of sequence dzc.\n' | b'1/30\n' | b'Three letters picked without replacement from {f: 1, c: 2, d: 1, z: 1}. Give prob of sequence dzc.\n' | b'1/30\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p and 3 f when four letters picked without replacement from fffffffffpfpffpfpf.\n' | b'364/765\n' | b'Calculate prob of picking 1 p and 3 f when four letters picked without replacement from fffffffffpfpffpfpf.\n' | b'364/765\n' | deepmind/math_dataset |
b'Suppose 0*b + b - 2 = 3*d, b + d - 2 = 0. Suppose 3*j = -b*j - 15. Let q(m) = m**2 - m + 2*m + m**3 - 2 + 3*m**2. Determine q(j).\n' | b'4\n' | b'Suppose 0*b + b - 2 = 3*d, b + d - 2 = 0. Suppose 3*j = -b*j - 15. Let q(m) = m**2 - m + 2*m + m**3 - 2 + 3*m**2. Determine q(j).\n' | b'4\n' | deepmind/math_dataset |
b'Let f be (0*(-2)/6)/(-1). Suppose t + 3*a + 1 = 0, 1 + f = -a. Find the third derivative of -2523 - 6*k**5 + 38*k**5 - 12*k**t + 2523 wrt k.\n' | b'1920*k**2\n' | b'Let f be (0*(-2)/6)/(-1). Suppose t + 3*a + 1 = 0, 1 + f = -a. Find the third derivative of -2523 - 6*k**5 + 38*k**5 - 12*k**t + 2523 wrt k.\n' | b'1920*k**2\n' | deepmind/math_dataset |
b'Let o(q) be the second derivative of -28*q + 0 - 1/3*q**4 + 0*q**2 - 1/20*q**5 + 0*q**3. Suppose -9 = 3*i + 2*u, 0*i - 3*u = -4*i - 12. Calculate o(i).\n' | b'-9\n' | b'Let o(q) be the second derivative of -28*q + 0 - 1/3*q**4 + 0*q**2 - 1/20*q**5 + 0*q**3. Suppose -9 = 3*i + 2*u, 0*i - 3*u = -4*i - 12. Calculate o(i).\n' | b'-9\n' | deepmind/math_dataset |
b'Let h(y) = -y**3 + 8*y**2 + 3*y - 4. Let i be h(8). Solve -2*c = 4*v - 0*c - 8, -5*v + 5*c = i for v.\n' | b'0\n' | b'Let h(y) = -y**3 + 8*y**2 + 3*y - 4. Let i be h(8). Solve -2*c = 4*v - 0*c - 8, -5*v + 5*c = i for v.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 1, m: 3, w: 1}. What is prob of picking 2 m, 1 b, and 1 w?\n' | b'3/5\n' | b'Four letters picked without replacement from {b: 1, m: 3, w: 1}. What is prob of picking 2 m, 1 b, and 1 w?\n' | b'3/5\n' | deepmind/math_dataset |
b'Suppose 4*o = 4*y + 56, 0 = 7*o - 4*o + y - 22. Solve c = -7 + o, 4*d + c = 10 for d.\n' | b'2\n' | b'Suppose 4*o = 4*y + 56, 0 = 7*o - 4*o + y - 22. Solve c = -7 + o, 4*d + c = 10 for d.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 2 h when three letters picked without replacement from hqcbqubchuchxq.\n' | b'9/364\n' | b'Calculate prob of picking 1 c and 2 h when three letters picked without replacement from hqcbqubchuchxq.\n' | b'9/364\n' | deepmind/math_dataset |
b'What is prob of sequence jlv when three letters picked without replacement from jrrrjnkrklkkvlrrn?\n' | b'1/1020\n' | b'What is prob of sequence jlv when three letters picked without replacement from jrrrjnkrklkkvlrrn?\n' | b'1/1020\n' | deepmind/math_dataset |
b'Let l(y) be the second derivative of y**5/60 - y**4/8 - 5*y**3/6 - y**2 - y. Let j(g) be the first derivative of l(g). Let r = 6 + -1. What is j(r)?\n' | b'5\n' | b'Let l(y) be the second derivative of y**5/60 - y**4/8 - 5*y**3/6 - y**2 - y. Let j(g) be the first derivative of l(g). Let r = 6 + -1. What is j(r)?\n' | b'5\n' | deepmind/math_dataset |
b'Let k(p) = -5*p**3 + 16*p**2 + 17*p + 7. Let w(b) = b**3 - 4*b**2 - 4*b - 2. Let j(r) = -2*k(r) - 9*w(r). Determine j(-3).\n' | b'7\n' | b'Let k(p) = -5*p**3 + 16*p**2 + 17*p + 7. Let w(b) = b**3 - 4*b**2 - 4*b - 2. Let j(r) = -2*k(r) - 9*w(r). Determine j(-3).\n' | b'7\n' | deepmind/math_dataset |
b'Let x(m) be the third derivative of -359*m**7/210 - 116*m**3/3 - 923*m**2 + 1. Find the first derivative of x(o) wrt o.\n' | b'-1436*o**3\n' | b'Let x(m) be the third derivative of -359*m**7/210 - 116*m**3/3 - 923*m**2 + 1. Find the first derivative of x(o) wrt o.\n' | b'-1436*o**3\n' | deepmind/math_dataset |
b'Let q(p) = -3*p**2 + 180*p. Let n(c) = c**3 - 10*c**2 + 534*c. Let g(a) = -6*n(a) + 17*q(a). Find the second derivative of g(b) wrt b.\n' | b'-36*b + 18\n' | b'Let q(p) = -3*p**2 + 180*p. Let n(c) = c**3 - 10*c**2 + 534*c. Let g(a) = -6*n(a) + 17*q(a). Find the second derivative of g(b) wrt b.\n' | b'-36*b + 18\n' | deepmind/math_dataset |
b'Simplify ((p*p**(1/3)/p*p)**(-27))**(-13) assuming p is positive.\n' | b'p**468\n' | b'Simplify ((p*p**(1/3)/p*p)**(-27))**(-13) assuming p is positive.\n' | b'p**468\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 4, x: 4, j: 3}. Give prob of picking 1 j, 1 a, and 1 x.\n' | b'16/55\n' | b'Three letters picked without replacement from {a: 4, x: 4, j: 3}. Give prob of picking 1 j, 1 a, and 1 x.\n' | b'16/55\n' | deepmind/math_dataset |
b'Let i(o) = -o - 1. Let p be i(-5). Let k(b) = b + 6. Let y be k(-6). Suppose y*c = -p*c + 8. Solve c = -2*z + 3*r + 7, 2*r = 4*z - 6 for z.\n' | b'1\n' | b'Let i(o) = -o - 1. Let p be i(-5). Let k(b) = b + 6. Let y be k(-6). Suppose y*c = -p*c + 8. Solve c = -2*z + 3*r + 7, 2*r = 4*z - 6 for z.\n' | b'1\n' | deepmind/math_dataset |
b'Let u = -7 - -10. Let y(g) = g**2 - 2*g + 4. Let b be y(u). Differentiate -2 - 2*r**4 - b*r**2 + 7*r**2 wrt r.\n' | b'-8*r**3\n' | b'Let u = -7 - -10. Let y(g) = g**2 - 2*g + 4. Let b be y(u). Differentiate -2 - 2*r**4 - b*r**2 + 7*r**2 wrt r.\n' | b'-8*r**3\n' | deepmind/math_dataset |
b'Simplify (u*u**25)/(u/(u**(-1/28)*u*u))*u/u**(-25)*u*u*((u*u/(u**(3/7)/u*u))/u)/u assuming u is positive.\n' | b'u**(1527/28)\n' | b'Simplify (u*u**25)/(u/(u**(-1/28)*u*u))*u/u**(-25)*u*u*((u*u/(u**(3/7)/u*u))/u)/u assuming u is positive.\n' | b'u**(1527/28)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {c: 4, h: 3, l: 4, j: 5, d: 3}. What is prob of sequence cdhd?\n' | b'1/1292\n' | b'Four letters picked without replacement from {c: 4, h: 3, l: 4, j: 5, d: 3}. What is prob of sequence cdhd?\n' | b'1/1292\n' | deepmind/math_dataset |
b'Simplify (o/(o/(o*o**2)))/(o/((o/(((o**(-16)/o)/o)/o))/o))*(o*o**(-4/3)*o)/o**(-3/8) assuming o is positive.\n' | b'o**(529/24)\n' | b'Simplify (o/(o/(o*o**2)))/(o/((o/(((o**(-16)/o)/o)/o))/o))*(o*o**(-4/3)*o)/o**(-3/8) assuming o is positive.\n' | b'o**(529/24)\n' | deepmind/math_dataset |
b'Let v = -478 + 480. Solve m = -5*b + v*m + 16, 2*b = -5*m + 1 for b.\n' | b'3\n' | b'Let v = -478 + 480. Solve m = -5*b + v*m + 16, 2*b = -5*m + 1 for b.\n' | b'3\n' | deepmind/math_dataset |
b'Let z(m) be the first derivative of 249 - 230*m - 59/2*m**2. Differentiate z(s) wrt s.\n' | b'-59\n' | b'Let z(m) be the first derivative of 249 - 230*m - 59/2*m**2. Differentiate z(s) wrt s.\n' | b'-59\n' | deepmind/math_dataset |
b'Suppose -10 = -2*w - 2. Solve -j = u - w*u + 5, u = 2 for j.\n' | b'1\n' | b'Suppose -10 = -2*w - 2. Solve -j = u - w*u + 5, u = 2 for j.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence hnr when three letters picked without replacement from {h: 1, r: 1, k: 1, n: 2}?\n' | b'1/30\n' | b'What is prob of sequence hnr when three letters picked without replacement from {h: 1, r: 1, k: 1, n: 2}?\n' | b'1/30\n' | deepmind/math_dataset |
b'Let v = 106 + -69. Let t be (-4 + 2 - -3)*v. Solve -5*u + t = -3*h, 2*h - 12 = -3*u - u for u.\n' | b'5\n' | b'Let v = 106 + -69. Let t be (-4 + 2 - -3)*v. Solve -5*u + t = -3*h, 2*h - 12 = -3*u - u for u.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 6*m = m. Let c(w) = -9*w + 794. Let q be c(88). Suppose 23 = 3*t + 4*r, -5*t + 27 = 4*r - 3*r. Solve m = n - j - q, -28 = n + t*j - 0*j for n.\n' | b'-3\n' | b'Suppose 6*m = m. Let c(w) = -9*w + 794. Let q be c(88). Suppose 23 = 3*t + 4*r, -5*t + 27 = 4*r - 3*r. Solve m = n - j - q, -28 = n + t*j - 0*j for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Let q be (-2)/3 + 42/9. What is the second derivative of -3*d**q - 6*d + 0*d**4 + 4*d wrt d?\n' | b'-36*d**2\n' | b'Let q be (-2)/3 + 42/9. What is the second derivative of -3*d**q - 6*d + 0*d**4 + 4*d wrt d?\n' | b'-36*d**2\n' | deepmind/math_dataset |
b'Simplify (((d*d/((d/d**(2/3))/d)*d**(1/7))/((d/(d*d**(-5)))/(d/(((d**(-4)/d)/d)/d))))**(-48))**(-16) assuming d is positive.\n' | b'd**(31232/7)\n' | b'Simplify (((d*d/((d/d**(2/3))/d)*d**(1/7))/((d/(d*d**(-5)))/(d/(((d**(-4)/d)/d)/d))))**(-48))**(-16) assuming d is positive.\n' | b'd**(31232/7)\n' | deepmind/math_dataset |
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