*o + 2 = 6*z - 8*z, -5*o = 3*z - 1. Factor -16/9*j**4 + 44/9*j**3 + 0 - 16/3*j**2 + o*j + 2/9*j**5.
2*j*(j - 3)**2*(j - 1)**2/9
Factor 506 - 1337 - 1306 + 2052*w + 89 - 4*w**2.
-4*(w - 512)*(w - 1)
Let v(k) = -3*k**3 + 183*k**2 + 386*k - 502. Let m be v(63). Solve 27/4*x + 27/4*x**m - 3/4*x**3 + 0 - 3/4*x**4 = 0.
-3, -1, 0, 3
Find u, given that 28/5*u**2 + 144/5 - 2/5*u**3 - 114/5*u = 0.
3, 8
Let j(x) = x**2 - 7*x + 3. Let g be j(7). Suppose -2*f + 1 = -g*i, 4*i = -i + f + 10. Solve 2/5*o - 1/5*o**2 - 2/5*o**i + 0 + 1/5*o**4 = 0 for o.
-1, 0, 1, 2
Let d = 44868 + -44864. Let -1/4*k**d - 52*k - 21*k**2 - 15/4*k**3 - 48 = 0. Calculate k.
-4, -3
Let l(u) = -u**2 - 20*u + 6. Let f be l(-20). Factor 62*a**4 + 0*a + 7 - f*a**3 + 6*a - 8*a**2 - 61*a**4.
(a - 7)*(a - 1)*(a + 1)**2
Factor -2/15*h**2 + 38/5*h - 112/15.
-2*(h - 56)*(h - 1)/15
Let o be (189049/5258 + 12*-3)/(2/(-22)). Let -1/2*p**3 + 3/2*p**2 - 3/2*p + o = 0. Calculate p.
1
Let l(q) be the third derivative of -q**5/90 - 82*q**4/45 + 44*q**3/15 + q**2 + 777*q. Factor l(t).
-2*(t + 66)*(5*t - 2)/15
Suppose -4*y**4 + 44*y**2 - 73*y**5 - 30*y**4 - 10*y**2 + 72*y**5 + y**3 = 0. Calculate y.
-34, -1, 0, 1
Let w be ((-46 - -24)/(-110))/(6/120). Suppose 0*t + 147*t**5 + 1720/3*t**2 - 128/3 + 1140*t**3 + 2170/3*t**w = 0. What is t?
-2, -4/7, 2/9
Let 118/7*x + 160/7 + 40/7*x**4 - 200/7*x**2 - 116/7*x**3 - 2/7*x**5 = 0. What is x?
-1, 1, 5, 16
Factor 0*f - 48 + 16/9*f**3 + 1/9*f**4 + 8*f**2.
(f - 2)*(f + 6)**3/9
Let g(t) = -t + 5 - 12*t**2 + 13*t**2 - 7*t**2. Let c(m) = m**2 - 1. Let p(x) = -33*c(x) - 6*g(x). Factor p(h).
3*(h + 1)**2
Let d(s) be the first derivative of -14 - 2/5*s**5 + 0*s + 0*s**2 + 8/15*s**3 - 1/5*s**4 - 1/10*s**6. Solve d(f) = 0.
-2, 0, 2/3
Factor 155*l + 5*l**2 - 6*l**4 + 0*l**4 + 360*l**3 - 303*l - 212*l + l**4.
-5*l*(l - 72)*(l - 1)*(l + 1)
Let p(x) be the first derivative of -4/9*x**3 - 2/3*x + 1/12*x**4 + 5/6*x**2 - 70. Factor p(l).
(l - 2)*(l - 1)**2/3
Let k(p) = -2*p + 16. Suppose 0 = 8*x - 4*x - 28. Let n be k(x). Factor -n*c - 5*c + c**2 + 2 + 2 + 3*c.
(c - 2)**2
Let t be (1 - (-1)/5)/(80/(-18150)). Let i = t + 274. Factor i*x**2 + 1/2*x + 0.
x*(7*x + 2)/4
Let y(p) be the second derivative of 0 + 676/9*p**2 + 1/54*p**4 + 46*p + 52/27*p**3. Determine d so that y(d) = 0.
-26
Let w(z) = 8*z**3 + 93*z**2 + 483*z + 408. Let r(t) = -17*t**3 - 189*t**2 - 966*t - 816. Let c(u) = -5*r(u) - 11*w(u). Suppose c(o) = 0. Calculate o.
-17, -8, -1
Factor 342*p - 449*p - p**2 + 523*p + 417.
-(p - 417)*(p + 1)
What is x in 76*x**2 + 48*x**3 - 5*x - 11*x**4 - 3*x - 42*x**5 + 2*x**5 - 27*x**4 - 38*x**4 = 0?
-2, -1, 0, 1/10, 1
Suppose 60 = -252*v + 267*v. Suppose 0 = v*b + 5*i + 12, 20*b = 21*b - 2*i - 10. Factor f**4 + 1/5 + 1/5*f**5 + f + b*f**2 + 2*f**3.
(f + 1)**5/5
Let s = 448337/896670 + -1/448335. Factor 0*y**2 - 3 + s*y**3 - 7/2*y.
(y - 3)*(y + 1)*(y + 2)/2
Let s(m) = 20*m**2 + 873*m - 932. Let d(r) = 12*r**2 + 524*r - 560. Let c(x) = -13*d(x) + 8*s(x). Factor c(v).
4*(v - 1)*(v + 44)
Let a(s) = 15*s**2 + 3270*s + 2362397. Let v(u) = -u**2 - 14*u - 2. Let q(g) = -3*a(g) - 42*v(g). Factor q(y).
-3*(y + 1537)**2
Let z(b) = -b**2 - 236*b + 24496. Let m be z(78). Suppose 3 + 3/2*d**3 + 3*d**m - 3/4*d**5 - 6*d**2 - 3/4*d = 0. What is d?
-1, 1, 4
Let i(h) be the third derivative of h**5/20 + 1737*h**4/8 - 869*h**3 + 606*h**2. Determine w so that i(w) = 0.
-1738, 1
Let m(b) be the second derivative of 1/21*b**4 + 16/21*b**3 + 30/7*b**2 + 104 - b. What is u in m(u) = 0?
-5, -3
Factor -798*p - 870*p - 1431 - 233 + 200501*p**2 - 200505*p**2.
-4*(p + 1)*(p + 416)
Let n = -212104/5715 + -831/635. Let h = -191/5 - n. Suppose 0 - 2/9*o**3 + 2/9*o + h*o**4 - 2/9*o**2 = 0. Calculate o.
-1, 0, 1
Factor -8272*s**2 + 4110*s**2 + 3966*s**2 + 1 - 138*s + 3 - 54*s.
-4*(s + 1)*(49*s - 1)
Let q(x) be the first derivative of -26*x**2 - 16*x**3 + 25 + 8483*x**4 + 27 - 8482*x**4. Factor q(f).
4*f*(f - 13)*(f + 1)
Let v(f) be the second derivative of -16*f**7/189 + 88*f**6/135 + 191*f**5/90 - 73*f**4/27 - 103*f**3/27 - 14*f**2/9 - 200*f + 3. Find m, given that v(m) = 0.
-2, -1/4, 1, 7
Let o(u) = 2*u**3 + 546*u + 1398. Let k(q) = q**3 + 181*q + 465. Let m(l) = 14*k(l) - 5*o(l). Factor m(r).
4*(r - 8)*(r + 3)*(r + 5)
Suppose -g - 75 = 16*x - 21*x, x + 6 = -4*g. Let d be ((-332)/42 - -8)*x. Factor -d + 8/3*z + 7*z**2.
(3*z + 2)*(7*z - 2)/3
Let i(h) be the second derivative of -h**7/252 - 44*h**6/45 - 3959*h**5/60 - 638*h**4/3 - 841*h**3/4 - 142*h - 7. Factor i(f).
-f*(f + 1)**2*(f + 87)**2/6
Let g(q) be the second derivative of -q**5/90 - q**4/6 + 32*q**2 - 9*q + 2. Let j(v) be the first derivative of g(v). Suppose j(n) = 0. What is n?
-6, 0
Let i = 264 + -266. Let b(q) = 2*q**2 - 3*q. Let y(d) = d**2 - 3*d. Let p(w) = w**2 - 12*w + 3. Let v be p(12). Let f(l) = i*b(l) + v*y(l). Factor f(x).
-x*(x + 3)
Factor 1/5*z**5 + 0 - 19/5*z**2 - 37/5*z**3 + 0*z - 17/5*z**4.
z**2*(z - 19)*(z + 1)**2/5
Solve 64*x**4 + 2*x**5 + 54*x**2 + 544*x**3 + 86*x**2 - 18663809*x + 4500 + 18658559*x = 0.
-15, -5, 1, 2
Let j(k) = k**2 + 94*k + 2401. Let g(s) = -4*s**2 - 27*s + 41. Let x be g(-8). Let p(z) = -z. Let y(u) = x*j(u) - 4*p(u). Factor y(b).
(b + 49)**2
Let h(w) be the first derivative of 20/3*w**3 + w**5 + 0*w + 0*w**2 + 5*w**4 - 77. Factor h(y).
5*y**2*(y + 2)**2
Let s(j) = 5651527*j**4 - 13448*j**3 + 3*j**2 + 5*j - 50. Let f(g) = -5651528*g**4 + 13448*g**3 - 2*g**2 - 6*g + 60. Let x(h) = 5*f(h) + 6*s(h). Solve x(y) = 0.
0, 2/1681
Suppose 0 = 38*l - 26*l - 180. Let i be (-13 - l/(-1))*(-6)/(-4). What is p in -2/5*p - 2/5*p**5 - 8/5*p**2 - 12/5*p**i + 0 - 8/5*p**4 = 0?
-1, 0
Let j(q) = q**2 + q + 5. Let y(c) = -10*c**2 - 14*c - 31. Let p(w) = 18*j(w) + 2*y(w). Factor p(z).
-2*(z - 2)*(z + 7)
Let c(h) = h**3 + 16*h**2 - 35*h + 20. Let v be c(-18). Factor 480*f**3 - 11915*f**2 - 5399*f**v - 5*f**4 - 3833*f**2 + 3867*f**2 - 1658880 + 276480*f.
-5*(f - 24)**4
Let t(b) be the second derivative of -11/2*b**2 + 0 + 2*b + 5/24*b**4 + 5/3*b**3 - 1/12*b**5. Let i(k) be the first derivative of t(k). Factor i(c).
-5*(c - 2)*(c + 1)
Let m(w) = -w**2 - 287*w - 1958. Let l be m(-280). Find n, given that 184/7 + 1110/7*n**l - 50/7*n**3 + 912/7*n = 0.
-2/5, 23
Suppose 2*u = 0, -3*t + u = 69 - 162. Suppose -3*x = -t - 32. Suppose -2*p**2 - 54 + 0*p**2 - x - 30*p - p**2 = 0. Calculate p.
-5
Find y such that -134/5*y**2 + 246/5*y**3 + 4/5*y**4 - 624/5*y - 248/5 = 0.
-62, -1, -1/2, 2
Let m be 4 + 0 + 2 + -2 + -2. Factor -292*u + 12*u + 21 + 18*u**4 - 130*u**3 + 11 + 16 + 316*u**m.
2*(u - 3)*(u - 2)**2*(9*u - 2)
Let v = 11737/9 - 1304. Factor 0*i + v*i**4 - 5/9*i**2 + 4/9*i**3 + 0.
i**2*(i - 1)*(i + 5)/9
Let x(t) be the third derivative of t**5/30 - t**3/6 - 12*t**2. Let y be x(-2). Factor 2*n**2 + 4*n**4 - 8*n - y*n**2 + n**2 + 8*n**3.
4*n*(n - 1)*(n + 1)*(n + 2)
Let j = 18599 - 92969/5. Determine y, given that 14/5*y**2 + 2/5*y**3 - j*y - 2/5*y**4 + 12/5 = 0.
-3, 1, 2
Let i be (325/40)/((-403)/(-186)). Let 159/4*d + i*d**2 - 33/2 = 0. Calculate d.
-11, 2/5
Let c = 18 - -1. Let k = 24 - c. Factor -18*n**2 + 11*n**2 + k*n**2.
-2*n**2
Suppose 12 = 5*f + 3*h + 33, 8 = -2*f - h. Let t be (-4 + 4)/(f + (9 - 4)). Factor 2/7*v**2 + t - 4/7*v.
2*v*(v - 2)/7
Let u(a) be the second derivative of a**6/60 + 7*a**5/20 + a**4/2 - 7*a**3/6 - 13*a**2/4 + a - 744. Factor u(y).
(y - 1)*(y + 1)**2*(y + 13)/2
Factor -1/2*u**2 - 26/3*u + 6.
-(u + 18)*(3*u - 2)/6
Let c(u) be the second derivative of -u**6/45 + 43*u**5/5 - 8570*u**4/9 + 21082*u**3/3 + 80645*u**2/3 + 2*u + 857. Find p, given that c(p) = 0.
-1, 5, 127
Suppose -16 + 46 = 10*k. Factor -14*y + 5*y**2 - y**4 + 33*y**k - 18*y**3 + 6*y**4 - 10 - y.
5*(y - 1)*(y + 1)**2*(y + 2)
Suppose 0 = -5*i - 2*x + 202, -3*i - 5*x = -x - 124. Factor -2*d**2 + 35*d**3 - 15*d**4 + 20 + i*d - 20 + 92*d**2.
-5*d*(d - 4)*(d + 1)*(3*d + 2)
Let m be (-65)/85 + 9 - (-48)/(-5 - 1). Suppose 0 = o - 3*p - 3, 4*p - 12 = -4*o + p. Find k, given that m*k - 18/17*k**2 + 0 + 8/17*k**o = 0.
0, 1/4, 2
Suppose 2*b + 44 = 13*a - 11*a, 0 = -a - 5*b + 4. Factor -3*f**5 + 0*f**5 + 12*f**3 - 7*f**2 + 31*f**2 + a*f**4 - 25*f**4.
-3*f**2*(f - 2)*(f + 2)**2
Let w(g) be the first derivative of 3*g**4/4 - 581*g**3 - 3495*g**2/2 - 1749*g + 5923. Fac