*o**3 + k - 1/6*o**4. Determine c so that q(c) = 0.
-1, 0
Suppose 9*f - 32 = -4*p + 5*f, -p = -3*f + 12. Let r(y) be the third derivative of 0 + 1/15*y**5 + 25*y**2 + 1/9*y**4 - 10/9*y**p + 0*y. Factor r(t).
4*(t - 1)*(3*t + 5)/3
Let 558/5*f - 568 + 2/5*f**2 = 0. What is f?
-284, 5
Factor 1/4*k**2 - 10*k - 44.
(k - 44)*(k + 4)/4
Let o be 112/(-18)*-8 + (-72)/(-324). Let w be o/18 - 24/(-108). Factor 3/2*u**3 + w + 0*u**2 - 9/2*u.
3*(u - 1)**2*(u + 2)/2
Solve 9/4*x**5 - 30223017/4 - 487575/2*x**2 + 9000585/4*x - 1065/4*x**4 + 23735/2*x**3 = 0 for x.
29/3, 33
Suppose 3*x - 31 = 5*c, -4*x - 11 = -7*x + c. Determine p so that -1356*p**5 - 6 + 6*p**3 - 4*p**4 - 5*p + 8*p**2 + x*p**4 + 1355*p**5 = 0.
-3, -1, 1, 2
Let h be ((-300)/(-12) - 11) + -10. Let u(m) be the third derivative of 1/42*m**7 - 1/12*m**5 + 5/24*m**h + 0 + 7*m**2 + 0*m + 0*m**3 - 1/24*m**6. Factor u(j).
5*j*(j - 1)**2*(j + 1)
Let v(s) be the second derivative of 0*s**2 - 3/40*s**5 - 1/12*s**4 + 0*s**6 + 3 + 1/84*s**7 + 17*s + 0*s**3. Let v(q) = 0. What is q?
-1, 0, 2
Let d = -38 + 64. Suppose -17*v + d = -25. Solve 0*k + 1/5*k**v + 0 + 1/5*k**2 = 0.
-1, 0
Find p such that -21*p**4 + 5*p**4 - 24*p**4 - 2125*p - 5*p**5 - 1078*p**2 - 964*p**2 + 690*p**3 + 642*p**2 = 0.
-17, -1, 0, 5
Let g = -15426 - -15428. Let z(c) be the second derivative of 14/9*c**3 + 0 - 20*c + 5/3*c**g + 2/3*c**4 - 1/45*c**6 + 1/15*c**5. Factor z(a).
-2*(a - 5)*(a + 1)**3/3
Let b be 60/(-9)*(8 + 115/(-14) + 0). Factor -b*r + 0 + 12/7*r**2.
2*r*(6*r - 5)/7
Let c(l) be the first derivative of 625*l**6/72 + 25*l**5/6 + 5*l**4/6 + 31*l**3 - 93. Let f(q) be the third derivative of c(q). Factor f(x).
5*(25*x + 2)**2
Solve -3/2*f**3 + 81/2 - 45/2*f - 33/2*f**2 = 0 for f.
-9, -3, 1
Let m(v) be the first derivative of -4*v**5/5 - 40*v**4 - 956*v**3/3 - 496*v**2 + 2112*v + 444. Find l, given that m(l) = 0.
-33, -4, 1
Let m be (-782)/(-30) - (6 - (-2)/(-2)). Let k = -102/5 + m. Factor -16/3 + 8/3*t - 8/3*t**4 - 2/3*t**5 - k*t**3 + 20/3*t**2.
-2*(t - 1)**2*(t + 2)**3/3
Let m = -376 + 376. Suppose m = -46*b + 17*b + 522. Factor 80/9*r - 8/9 - 26*r**2 + b*r**3.
2*(r - 1)*(9*r - 2)**2/9
Suppose -14*f = -8*f - 12. Factor 223*b + 231*b**3 - 40 - 286*b**3 - 82*b + 79*b + 10*b**f.
-5*(b - 2)*(b + 2)*(11*b - 2)
Suppose -213 = -28*c - 43*c. Suppose 2*d + 0*d = x + 5, -c*d + 10 = x. Let -2/7*n**d - 4/7 - 8/7*n**2 - 10/7*n = 0. Calculate n.
-2, -1
Let l be 1*1/(-2) + (-4727)/(-6). Let r = l - 774. Factor -40*d + 110/3*d**2 + 5/3*d**4 + 15 - r*d**3.
5*(d - 3)**2*(d - 1)**2/3
Factor 272*t + 33 + 306*t**2 - 123 - 94*t**2 + 20*t**3 - 54.
4*(t + 2)*(t + 9)*(5*t - 2)
Factor 3*p**3 - 747 - 5049 - 4*p**3 + 8026*p**2 - 9487*p**2 + 4*p**3 + 5808*p.
3*(p - 483)*(p - 2)**2
Let a(j) = -j**3 - 4*j**2 - 10*j - 6. Let d be a(-6). Let m be 372/d - 8/12. Let -32/7*n**3 + m*n**4 - 1/7 + 2/7*n + 15/7*n**2 = 0. What is n?
-1/4, 1/4, 1
Let x(f) be the third derivative of 1/15*f**5 + 0*f**3 + 1/336*f**8 + 11/315*f**7 + 0*f + 47/360*f**6 - 1/2*f**4 + 6 + 2*f**2. Determine z so that x(z) = 0.
-3, -2, 0, 2/3
Let y be ((-6099)/(-76))/((-4)/16). Let z = 324 + y. Factor k - k**2 + 1/4*k**4 - 1/4*k**z + 0.
k*(k - 2)*(k - 1)*(k + 2)/4
Let j(q) = 19*q**4 + 9*q**3 + 8*q**2 + 6*q - 24. Let w(h) = 35*h**4 + 17*h**3 + 15*h**2 + 11*h - 44. Let u(s) = -11*j(s) + 6*w(s). Factor u(t).
t**2*(t + 1)*(t + 2)
Factor 2/3*n - 2/3*n**3 + 4/3 + 2/3*n**4 - 2*n**2.
2*(n - 2)*(n - 1)*(n + 1)**2/3
Factor -4/9*u**2 + 364/9 - 8/3*u.
-4*(u - 7)*(u + 13)/9
Let y(v) be the second derivative of v**5/45 - 7*v**4/27 - 20*v**3/27 + 32*v**2/9 - v + 951. Factor y(d).
4*(d - 8)*(d - 1)*(d + 2)/9
Let j(g) be the first derivative of 5*g**4/8 - 5*g**3/6 - 25*g**2 + 4479. Factor j(s).
5*s*(s - 5)*(s + 4)/2
Let d(r) be the first derivative of 34 + 92/3*r**2 - 12*r - 245/9*r**3 + 25/12*r**4. Factor d(f).
(f - 9)*(5*f - 2)**2/3
Suppose 33*i + 2169 = -5091. Let g = -659/3 - i. Factor g*n**3 + 0 - n**2 + 2/3*n.
n*(n - 2)*(n - 1)/3
Let d(i) = 13*i + 181. Let o be d(-17). Let a be o/(-6) - (8/2 - -2). Find y, given that a*y**4 + 0 + 0*y + 0*y**2 + 1/3*y**3 = 0.
-1/2, 0
Let j(z) be the second derivative of -16/45*z**6 + 5/2*z**2 - 3*z**3 - 8/5*z**5 + 10*z + 0 - 3*z**4. Let x(b) be the first derivative of j(b). Factor x(a).
-2*(4*a + 3)**3/3
Let p(n) = n**3 - n - 2. Let g be p(2). Factor -228*m**3 - 256*m**5 - 249*m**g - 199*m**4 - 24*m**2 - 12*m**2.
-4*m**2*(m + 1)*(8*m + 3)**2
Let b(m) = -7*m**3 - 5*m**2 + 19*m + 119. Let r(l) = -l**3 - l - 1. Let y(g) = -b(g) + 6*r(g). Factor y(a).
(a - 5)*(a + 5)**2
Let z(y) be the second derivative of 4*y**6/195 + 17*y**5/10 - 59*y**4/26 - 506*y**3/39 - 112*y**2/13 + 1433*y. Find g, given that z(g) = 0.
-56, -1, -1/4, 2
Let r(f) = -8*f**4 - 290*f**3 - 574*f**2 - 286*f - 18. Let u(g) = 2*g**4 + g**3 - g**2 - g + 3. Let l(d) = r(d) + 6*u(d). Solve l(h) = 0.
-1, 0, 73
Suppose 28*y + 6036 = -2308. Let n = -295 - y. Factor 0 + 0*t**2 + 0*t**4 + 0*t + 1/2*t**5 - 1/2*t**n.
t**3*(t - 1)*(t + 1)/2
Let h be 90/(-16)*(((-90)/50)/(-3))/((-66)/44). Find j, given that -h*j**3 + 1/4*j**5 - 5/4*j**2 + 3 + 4*j + 1/4*j**4 = 0.
-3, -1, 2
Let g(w) be the second derivative of -w**4/42 + 11*w**3/7 + 108*w**2/7 - 116*w + 18. Factor g(a).
-2*(a - 36)*(a + 3)/7
Let h(y) be the third derivative of y**6/720 - 17*y**5/120 + 289*y**4/48 - 59*y**3/6 - 7*y**2. Let z(c) be the first derivative of h(c). Factor z(v).
(v - 17)**2/2
Let b(g) be the first derivative of -4*g**3/3 - 192*g**2 - 380*g + 4768. Factor b(z).
-4*(z + 1)*(z + 95)
Let u = -79562 + 79565. Let 1728*n**2 + 27648*n + 165888 + 1/2*n**4 + 48*n**u = 0. Calculate n.
-24
Let u be -2*4/(-64)*-1 + 189/1176. Let o(t) be the third derivative of 0*t - u*t**4 - 1/14*t**3 + 0 - 1/140*t**5 + 10*t**2. Factor o(y).
-3*(y + 1)**2/7
Let o(v) = -24*v**2 - 34*v + 4. Let i(z) = -z**2 - z + 1. Suppose 7*w + 2*w = -18. Let s(u) = w*o(u) + 44*i(u). Factor s(q).
4*(q + 3)**2
Find d, given that -312*d**2 + 300 + 57/4*d**3 + 3/4*d**5 - 15*d + 12*d**4 = 0.
-10, -1, 1, 4
Let f(o) = -o**3 - 22*o**2 + 74*o - 23. Let c be f(-25). Let k(x) be the first derivative of -4*x**c + 0*x - 16/3*x**3 + 24 + 5/2*x**4. What is s in k(s) = 0?
-2/5, 0, 2
Let l = 94 - 90. Suppose 0 = 3*a + r - 0*r - 10, 2*r = l*a. Suppose 12*o**3 + 227*o**2 + 64 + 358*o - 134*o - 127*o**a = 0. What is o?
-4, -1/3
Let i(r) be the first derivative of -6 - 1/2*r**4 + 0*r**2 + 0*r**3 + 1/3*r**6 + 0*r + 0*r**5. Solve i(f) = 0.
-1, 0, 1
Let o(x) be the first derivative of x**5/30 + 5*x**4/8 - 55*x**3/18 - 5*x**2/4 + 9*x + 4360. Find g such that o(g) = 0.
-18, -1, 1, 3
Let a(d) be the second derivative of 2*d**3 - 2 + 60*d - 18*d**2 + 1/4*d**4. Factor a(o).
3*(o - 2)*(o + 6)
Let u(n) be the third derivative of n**7/1540 + n**6/55 + 21*n**5/220 + 5*n**4/22 + 89*n**3/6 - 54*n**2. Let j(o) be the first derivative of u(o). Factor j(d).
6*(d + 1)**2*(d + 10)/11
Factor 50/7*k - 120/7*k**2 + 0 - 24/7*k**4 + 2/7*k**5 + 92/7*k**3.
2*k*(k - 5)**2*(k - 1)**2/7
Let f be (-5868)/(-11)*42/63. Let l = 356 - f. Factor -2/11*b**4 + l*b**2 - 2/11 + 0*b + 0*b**3.
-2*(b - 1)**2*(b + 1)**2/11
Let g = 823 + -1010. Let j = -178 - g. Solve 3/2*c**3 - j*c**2 - 6 + 27/2*c = 0 for c.
1, 4
Factor -155*n**2 - 172*n**2 + n + 10*n + 375*n**3 - 54*n**2 - 5*n.
3*n*(n - 1)*(125*n - 2)
Let j(r) = r**4 - 44*r**3 + 174*r**2 + 478*r + 245. Let w(b) = -2*b**4 + 89*b**3 - 349*b**2 - 958*b - 483. Let z(s) = 10*j(s) + 4*w(s). Let z(y) = 0. What is y?
-1, 7, 37
What is t in 328/7*t**2 - 4/7*t**3 - 324/7*t + 0 = 0?
0, 1, 81
Let s(z) = 3*z**2 + 48*z + 18. Let o be s(-16). Let j(h) = h - 16. Let m be j(o). Factor 1/6*n**m + 1/2*n - 2/3.
(n - 1)*(n + 4)/6
Factor 378 + 5*t**2 - 3*t**2 + 3*t**2 - 4*t**2 + 42*t + 59.
(t + 19)*(t + 23)
Suppose 4*n - 112 = -2*v, 5*v + 53 = 4*n - 59. Factor 209101 + n*l**3 - 209101 - l**5 - 12*l**4.
-l**3*(l - 2)*(l + 14)
Let o(j) be the second derivative of -2/9*j**4 + 4*j**2 + 88*j + 0 + 1/15*j**5 - 10/9*j**3. Determine g, given that o(g) = 0.
-2, 1, 3
Solve -1134/5 + 22/5*m**2 + 2/5*m**3 - 18*m = 0 for m.
-9, 7
Let k(r) be the first derivative of 4*r**3/3 - 426*r**2 - 1720*r - 524. Suppose k(y) = 0. What is y?
-2, 215
Factor 368*s**2 + 5402/3*s + 24*s**3 + 2738.
2*(s + 3)*(6*s + 37)**2/3
Let c be 1238/(-3)*15/(-10)*1. 