. Let s be 2/3 - b/30. Suppose -3*a**2 - s*a + a - 4*a - 3 = 0. What is a?
-1
Factor 0*u**2 + 1/3*u**3 + 0*u**4 - 1/3*u**5 + 0 + 0*u.
-u**3*(u - 1)*(u + 1)/3
Let g = 839 - 839. Find p, given that 2/5*p**2 - 3/5*p**3 + 1/5*p**4 + g + 0*p = 0.
0, 1, 2
Let v(m) = -4*m**2 + 16*m - 14. Let t(i) = 4*i**2 - 16*i + 13. Let q(s) = 3*t(s) + 2*v(s). Let y(a) = 1. Let h(z) = q(z) + 5*y(z). Factor h(g).
4*(g - 2)**2
Let u be 1*(5/2 + -2). Let n be 35/245 - 13/(-7). Let 1/2*a**n - 1/2*a**3 - u + 1/2*a = 0. What is a?
-1, 1
Suppose -352/13 - 1440/13*b + 54/13*b**5 + 594/13*b**4 - 1712/13*b**2 - 144/13*b**3 = 0. What is b?
-11, -2/3, 2
Solve 1/2*i**3 - 5*i**2 - 2*i + 1/2*i**4 + 12 = 0 for i.
-3, -2, 2
Let y(n) = 14*n - 1. Let d be y(1). Factor -2*q**5 - 28*q**3 - 21 - 32*q**2 - d*q**4 - 18*q - q**4 + 2*q**4 + 17.
-2*(q + 1)**4*(q + 2)
Suppose -4*y + 5*f + 372 = 0, 4*f = -6*y + y + 506. Factor 10*a**4 - 98*a + 175*a**5 + y*a.
5*a**4*(35*a + 2)
Suppose -z**3 - 5*z**2 - 96*z + 0*z**2 + 5*z**4 - 4*z**3 + 101*z = 0. What is z?
-1, 0, 1
Let n = -115/24 - -155/24. Solve -4*j**2 + n*j**3 + 3*j - 2/3 = 0.
2/5, 1
Let t = 0 + 9. Let x(p) = -p**2 + 7*p + 22. Let r be x(t). Factor 17 + 135*f**r + 27*f**5 + 184*f**3 + 323*f**2 - 99*f**2 + 68*f**3 - 1 + 96*f.
(f + 1)*(f + 2)*(3*f + 2)**3
Let q = 43/105 + 4/21. Let o be 9/4 - 27/(-36). Find b, given that q*b**2 - 3/5 - 3/5*b + 3/5*b**o = 0.
-1, 1
Suppose -8*x = -10*x + 24. Factor -2*d - x*d**2 + 4*d**4 + 8*d**2 + 2*d.
4*d**2*(d - 1)*(d + 1)
Factor 54*u**2 - 3*u**4 + 21*u**2 + 4*u + 5*u**4 - 77*u**2 - 4*u**3.
2*u*(u - 2)*(u - 1)*(u + 1)
Let q(a) be the first derivative of -a**3/12 + 7*a**2/4 + 29. Solve q(j) = 0 for j.
0, 14
Let n(j) be the second derivative of -j**5/10 - 7*j**4/6 - 10*j**3/3 + 43*j + 4. Factor n(h).
-2*h*(h + 2)*(h + 5)
Suppose -h + 68 = -4*x, -210 - 130 = -5*h + 5*x. Let -4*z**4 - z**4 + 10*z**2 + h*z**5 + 5*z - 5 - 10*z**3 - 63*z**5 = 0. Calculate z.
-1, 1
Let r(p) be the first derivative of -p**4/24 + 2*p**3/9 + p**2/12 - 2*p/3 - 37. Factor r(v).
-(v - 4)*(v - 1)*(v + 1)/6
Let z(l) be the second derivative of 0 + 0*l**2 + 1/80*l**5 + 0*l**3 - 2*l + 0*l**4. Determine o, given that z(o) = 0.
0
Factor 3/5*q**2 + 0 - 6/5*q + 3/5*q**3.
3*q*(q - 1)*(q + 2)/5
Suppose -18/7*a**2 + 82/21*a + 8/21*a**3 + 8/7 = 0. What is a?
-1/4, 3, 4
Let u(x) be the first derivative of -5*x**3/3 - 170*x**2 - 5780*x - 36. Factor u(y).
-5*(y + 34)**2
Let y(b) be the third derivative of b**7/1470 - b**6/315 + 19*b**3/6 - 6*b**2. Let l(r) be the first derivative of y(r). Factor l(x).
4*x**2*(x - 2)/7
Suppose 0 - 25*s**3 + 44/3*s**2 + 9*s**4 - 4/3*s = 0. Calculate s.
0, 1/9, 2/3, 2
Let -2/19*b**5 + 384/19 - 6/19*b**3 + 16/19*b**4 + 224/19*b - 184/19*b**2 = 0. What is b?
-3, -1, 4
Suppose 35 = 23*q - 16*q. Suppose -3*w + 4*k - 7 = 13, -25 = -5*w - q*k. Factor -3/2*h**2 - h + w.
-h*(3*h + 2)/2
Let r(o) be the third derivative of -1/15*o**5 + 0*o + 0 - 16*o**2 + 1/6*o**4 + 4/3*o**3. Suppose r(n) = 0. Calculate n.
-1, 2
Let a = -385 - -385. Determine t so that 5/8*t**3 + 1/8*t**5 + 1/4*t**2 + 1/2*t**4 + 0 + a*t = 0.
-2, -1, 0
Let k = -1 + 4. Determine f, given that 4*f**2 + 2*f**3 - f**k - 3*f**3 + 4*f**3 = 0.
-2, 0
Let g = 3720 + -3717. Suppose -50/3 + 16*w**2 + 2/3*w**4 - 20/3*w**g + 20/3*w = 0. Calculate w.
-1, 1, 5
Let t = -51/155 + 1491/1705. Let 2/11*r**3 + 0 + 10/11*r**2 + t*r - 2/11*r**4 = 0. Calculate r.
-1, 0, 3
Find k, given that 1/4*k**4 - 21/4*k**2 - 11/4*k - 9/4*k**3 + 0 = 0.
-1, 0, 11
Let a(f) be the first derivative of -f**6/18 + f**5/5 - f**4/6 + 87. Factor a(t).
-t**3*(t - 2)*(t - 1)/3
Let q(w) = -w**3 + w**2 + 1. Suppose 0 = 5*f - s + 14, f - 2*s + 4 = -6. Let o(y) = 3*y**3 - 18*y**2 + 25*y - 8. Let a(g) = f*q(g) + o(g). Factor a(m).
5*(m - 2)*(m - 1)**2
Let m be (27 - (-2 + 1))*2/7. Let u be -3 + m + -1 + (-7 - -6). Factor -3/4*i**2 - 1/2*i - 1/4*i**u + 0.
-i*(i + 1)*(i + 2)/4
Suppose 8 = 4*f - 2*f. Let -10*u**4 - 2*u**4 + 9*u**4 + 4*u**3 + u**f = 0. Calculate u.
0, 2
Let c(n) be the second derivative of -10*n**2 - 5*n + 10/3*n**3 - 5/12*n**4 + 0. Let c(y) = 0. Calculate y.
2
Factor -1/7*t**4 + 0 - 12/7*t + 3/7*t**3 + 4/7*t**2.
-t*(t - 3)*(t - 2)*(t + 2)/7
Let g = 2683 - 2681. Let -32/11 - 16/11*d - 2/11*d**g = 0. Calculate d.
-4
Let r(w) = -5*w**2 + 4*w + 31. Let a(n) = -14*n**2 + 13*n + 92. Let u(c) = -c + 3. Let l be u(9). Let b(o) = l*a(o) + 17*r(o). Factor b(v).
-(v + 5)**2
Let m(i) = i + 16. Let z be m(-13). Solve -16 - z*u + 66*u**3 - 62*u**3 + 12*u**2 + 3*u = 0.
-2, 1
Let q = 2995/72 + -259/8. Suppose -q*b**4 - 2/3*b + 20/9*b**5 + 70/9*b**3 - 1/9*b**2 + 0 = 0. Calculate b.
-1/4, 0, 2/5, 1, 3
Let f be (-11 + 116/(-29))*-1*2/10. Factor -f*p - 6/7 + 12/7*p**2.
3*(p - 2)*(4*p + 1)/7
Let t(a) be the second derivative of a**6/2160 + a**5/80 + a**4/18 - 4*a**3/3 + 21*a. Let z(i) be the second derivative of t(i). Solve z(x) = 0 for x.
-8, -1
Suppose -645*a + 596 = -428*a - 55. Suppose a*u + 3/2 - 9/2*u**2 = 0. What is u?
-1/3, 1
Suppose 61*t - 156 = -34. Let k be -2*(-1)/((-1)/(-2)). Suppose 0*j**t + 6/7*j**3 + 0 + 0*j + 3/7*j**k = 0. Calculate j.
-2, 0
Let i(k) be the first derivative of -2*k**5/15 + 4*k**3/9 - 2*k/3 - 43. Factor i(t).
-2*(t - 1)**2*(t + 1)**2/3
Let g(w) = -w - 11. Let y be g(-11). Suppose 2*t = 4 - y. Factor 7*f**t - 2*f**3 - 4*f**2 + f**4 - 2*f**2.
f**2*(f - 1)**2
Let b be 700/160 + (-9)/24. Suppose -3*c + 3 = -12. Solve 0*r**b + 1/2*r**3 - 1/4*r**c + 0 + 0*r**2 - 1/4*r = 0 for r.
-1, 0, 1
Let r = 35659 + -71309/2. Factor 27/4 - 13/2*o**3 - 9/4*o**4 - 1/4*o**5 - r*o**2 + 27/4*o.
-(o - 1)*(o + 1)*(o + 3)**3/4
Let n be -3 + -3*(-62)/57. Let y = 54/133 - n. Let -2/7 - 1/7*l + y*l**2 = 0. Calculate l.
-1, 2
Let v(y) be the first derivative of 31*y**4/20 + 29*y**3/15 - y**2/5 - 60. Factor v(b).
b*(b + 1)*(31*b - 2)/5
Let d = 8 + 0. Let j(n) = 2*n - 10. Let k be j(d). Determine b so that -2*b**2 + 0*b**2 + k*b**2 + 8*b = 0.
-2, 0
Let n(r) be the second derivative of -5*r**2 + 3/2*r**3 - 7*r + 0 + 2/3*r**4. Let g(s) = 7*s**2 + 8*s - 9. Let y(p) = 7*g(p) - 6*n(p). Let y(z) = 0. What is z?
-3, 1
Let l(s) be the second derivative of -3*s**5/40 - 13*s**4/8 + 4*s**3 + 21*s**2 + 248*s. Factor l(y).
-3*(y - 2)*(y + 1)*(y + 14)/2
Let m(o) = 28*o**3 - 244*o**2 + 408*o + 16. Let q(d) = 9*d**3 - 81*d**2 + 136*d + 5. Let k(i) = 5*m(i) - 16*q(i). Determine v so that k(v) = 0.
0, 2, 17
Let q(s) be the second derivative of s**4/4 + 24*s**3 + 864*s**2 + 2*s + 17. Determine x so that q(x) = 0.
-24
Suppose 5*z - 129 = 2*u, z - u - 36 = -4*u. Let l be (2/z)/(6 - 280/48). Factor -32/9*o**2 - 10/9*o + l - 2*o**3.
-2*(o + 1)**2*(9*o - 2)/9
Let v(s) be the third derivative of s**7/280 - 3*s**5/40 - s**4/4 + 2*s**3/3 + 4*s**2. Let c(y) be the first derivative of v(y). Let c(b) = 0. What is b?
-1, 2
Let y be 10/(-3) - -2 - 956/(-717). Find i such that -3/7 + 0*i**3 + 6/7*i**2 - 3/7*i**4 + y*i = 0.
-1, 1
Let a(x) be the second derivative of 2*x**7/21 + 58*x**6/15 + 129*x**5/5 + 223*x**4/3 + 340*x**3/3 + 96*x**2 - 295*x. Solve a(f) = 0.
-24, -2, -1
Let l(x) be the third derivative of -x**5/450 - 128*x**4/45 - 65536*x**3/45 - 780*x**2. Solve l(a) = 0 for a.
-256
Let u = -14953/2 - -7477. Factor 1/2*g**5 + g**2 + 1/2*g - g**3 - 1/2 - u*g**4.
(g - 1)**3*(g + 1)**2/2
Let b be 2/(-5) + 942/30. Let v = b + -13. Let 2*a**3 + 8 + 40*a**2 + 36*a + 6*a**5 + 0 - v*a**3 - 48*a**4 - 26*a**5 = 0. What is a?
-1, -2/5, 1
Suppose 0 = 4*v - 2*g - 10, -3*v = -4*v + 3*g + 15. Suppose 2*k = s - 2 - 3, v = 4*k. Suppose s*b**3 + 44 - 10*b**2 + 13 - 20*b - 17 = 0. Calculate b.
-2, 2
Let y(r) be the third derivative of -r**8/112 + 2*r**7/105 + r**6/120 - r**5/30 - 19*r**2 - 3*r. Factor y(m).
-m**2*(m - 1)**2*(3*m + 2)
Let g(k) be the second derivative of 3*k**5/20 + k**4/4 - 7*k**3 - 36*k**2 - 2*k - 120. Factor g(s).
3*(s - 4)*(s + 2)*(s + 3)
Let b be ((-2)/21)/((-4)/60*25/10). Find h such that 2/7*h**4 - b*h**3 + 2/7*h - 4/7*h**2 + 2/7 + 2/7*h**5 = 0.
-1, 1
Suppose -5*g + 14 = 4*k, 10*k + 3 = 4*g + 5*k. Factor -38*o**2 - 3*o + 6*o**4 - 38*o**2 + 3*o**5 + 70*o**g.
3*o*(o - 1)*(o + 1)**3
Let j = 692 - 688. Factor 2/7*b**5 + 16/7*b**j + 76/7*b**2 + 16/7 + 8*b + 50/7*b**3.
2*(b + 1)**2*(b + 2)**3/7
Let f be -5*(-4 - (-90)/25). Determine u, given that -46*u