**3 - 12*q**2 - 640*q + 681. Let o(v) = 3*p(v) + 16*x(v). Solve o(u) = 0.
-12, 1, 14
Let w(q) be the second derivative of -1/5*q**2 + 1/25*q**5 - 1/15*q**4 - 1/5*q**3 - 44*q + 1/105*q**7 + 1/25*q**6 + 0. Factor w(x).
2*(x - 1)*(x + 1)**4/5
Let f(p) be the second derivative of -p**5/10 - 215*p**4/6 - 212*p**3 + 7*p - 84. Factor f(u).
-2*u*(u + 3)*(u + 212)
Find v, given that 567/2*v**4 + 744*v**3 + 358*v**2 + 0 + 49/2*v**5 + 48*v = 0.
-8, -3, -2/7, 0
Let o(p) be the second derivative of p**4/30 - 68*p**3/15 + 256*p**2/5 - 4107*p. Factor o(j).
2*(j - 64)*(j - 4)/5
Solve -673/9*p**2 - 94 + 473/3*p + 101/9*p**3 - 1/9*p**4 = 0 for p.
1, 3, 94
Factor 478864/9 + 1/9*l**2 - 1384/9*l.
(l - 692)**2/9
Let h(r) = r**4 - r**3 + 2*r**2 + 2*r - 3. Let n(p) = -6*p**4 - 6*p**3 - 14*p**2 + 10*p + 12. Let l(f) = -4*h(f) - n(f). Factor l(a).
2*a*(a - 1)*(a + 3)**2
Suppose -8*i = 5*i + 13. Let o(f) = -3*f**3 + f**2 - 1. Let z be o(i). Suppose -r**2 + z*r**3 - 3*r**5 - 2*r**2 + 11*r**4 - 8*r**4 = 0. Calculate r.
-1, 0, 1
Let c(s) = -s**2 + 3*s + 6. Let z be c(4). Suppose 2*y - 4 = -3*d, 2*d - 10 = -2*d + z*y. Factor -9*n**2 + n**4 - 3*n**d + 11*n**2.
n**2*(n - 1)*(n + 1)
Suppose -6*w - 6*w - 4260 = 0. Let a = 358 + w. Factor 250/7 + 30/7*o**2 - 150/7*o - 2/7*o**a.
-2*(o - 5)**3/7
Let y(g) = 10*g**2 + 20*g. Let q(p) be the first derivative of 13*p**3/3 + 21*p**2/2 - 169. Let u(c) = 5*q(c) - 6*y(c). Factor u(t).
5*t*(t - 3)
Let y(c) = 12*c + 4. Let w be y(1). Suppose -22*n + 23*n = w. Let n*x - 11 + 5*x**2 - 3*x**2 + 11 = 0. What is x?
-8, 0
Let r = -43 + 52. Suppose -r = -6*t + 3*t. Factor 10*v**2 - 25*v + 9*v**3 - 3*v**t - 7*v**3.
-v*(v - 5)**2
Let c be 54/10 + (-4)/10. Let r = -223 - -226. Factor -4*x**2 + 5*x**3 - x**r - c*x**5 - 8*x**5 + 4*x**4 + 9*x**5.
-4*x**2*(x - 1)**2*(x + 1)
Find i such that 4*i**3 - 1/3*i**5 - 16*i - 20/3*i**2 + i**4 + 0 = 0.
-2, 0, 3, 4
Let k(u) = -u**3 + 19*u**2 + 19*u + 17. Let g be k(20). Let m be (5 - (g - -5)) + -1. Factor -2 + v**2 + 5 + 4 - 6 + m*v.
(v + 1)**2
Let r(t) = t**3 + 16*t**2 + 15*t + 2. Let o be r(-15). Find h, given that 19*h + h**2 - 2*h**2 - o - 16*h = 0.
1, 2
Factor 0 - 4/5*s + 26/5*s**2 - 12/5*s**3.
-2*s*(s - 2)*(6*s - 1)/5
Let m be -94*(-7 - (-9 + 3)). Factor m*w**2 - 78*w**2 - 18*w**4 + 12*w - 12*w**3 + 2*w**4.
-4*w*(w - 1)*(w + 1)*(4*w + 3)
Let g(q) be the second derivative of -q**7/21 - q**6/3 - 2*q**5/5 + 8*q**4/3 + 32*q**3/3 + 16*q**2 - 42*q. Find n such that g(n) = 0.
-2, -1, 2
Solve 165/7*a + 150/7 + 3/7*a**4 - 9/7*a**2 - 3*a**3 = 0.
-2, -1, 5
Let i = 41 - 46. Let g be (-2)/3*i*(-75)/(-10). Factor -6*z + 14 - g + 13 + 4*z**2.
2*(z - 1)*(2*z - 1)
Let r(o) be the first derivative of -3/4*o**4 + 59 + 0*o - 4*o**3 - 9/2*o**2. Factor r(f).
-3*f*(f + 1)*(f + 3)
Let l be ((-32)/(-5184)*-12)/(4/(-90)). Factor -4/3*t**3 - 1/3*t**5 + 2/3*t**2 + 2/3 - 4/3*t**4 + l*t.
-(t - 1)*(t + 1)**3*(t + 2)/3
Suppose 2674 = -15*f + 29*f. Suppose -196*o + f*o = 0. Determine a so that -21/2*a**2 + o - 15/2*a**4 + 27/2*a**3 + 3/2*a**5 + 3*a = 0.
0, 1, 2
Let y be (399/6 - 4)/((-5)/(-10)). Suppose -y - 3*z**2 + 66 - 2*z**3 + 3*z**3 + 63 = 0. What is z?
-1, 2
Determine r so that -58/5*r**3 + 26/15*r**4 + 2/15*r**5 + 108/5*r + 42/5*r**2 + 0 = 0.
-18, -1, 0, 3
Let q(l) = -8*l**4 + 48*l**3 + 369*l**2 + 599*l. Let v(s) = -7*s**4 + 48*s**3 + 369*s**2 + 598*s. Let i(z) = -4*q(z) + 5*v(z). Determine t so that i(t) = 0.
-3, 0, 22
Suppose 0 = -5*v - r + 16, -7 = -2*v - r - 0. Suppose 4*i = j + 1, 4*i + 4 = -j + v. Factor 4/7*o + 2/7*o**2 + i.
2*o*(o + 2)/7
Let i be (-2)/(-9) + (23/18)/(-23)*-50. Factor 25/6*v**i + 0 + 5/3*v**2 + 1/6*v.
v*(5*v + 1)**2/6
Let y(f) be the first derivative of f**4/20 + f**3/15 - f**2 + 8*f/5 - 1003. Factor y(r).
(r - 2)*(r - 1)*(r + 4)/5
Let p be (-6)/(-2)*(-1)/(-1). Suppose -p*x + 13 = -14. Factor 33*q**3 - 82*q + 10*q**2 - 6 + 109*q - 55*q**2 - x*q**4.
-3*(q - 1)**3*(3*q - 2)
Let f(u) be the second derivative of -u**5/240 + u**3/24 + 54*u**2 - 127*u. Let r(b) be the first derivative of f(b). Find g such that r(g) = 0.
-1, 1
Let c(v) be the third derivative of v**6/2520 + v**5/280 + 34*v**3/3 + 78*v**2. Let z(t) be the first derivative of c(t). Factor z(h).
h*(h + 3)/7
Let o(z) be the first derivative of 4*z**5 - 155*z**4 + 1435*z**3 + 2390*z**2 + 1235*z - 2999. Suppose o(r) = 0. What is r?
-1/2, 13, 19
Suppose 2*i - 3*d = -5*d, -2*i - 2*i - 3*d = 0. Let s(t) be the first derivative of 0*t**3 + i*t**2 - 4/5*t**5 - 5 + 0*t - 3*t**4. Find r such that s(r) = 0.
-3, 0
Let u(k) be the third derivative of -k**8/560 + k**6/100 - k**4/40 - 918*k**2 + k. Find q, given that u(q) = 0.
-1, 0, 1
Determine x so that 32/9*x**3 - 16/9*x**4 + 20/9 - 4/9*x**2 + 2/9*x**5 - 34/9*x = 0.
-1, 1, 2, 5
Let k(r) be the first derivative of -r**5/30 + 5*r**4/18 - 7*r**3/9 + r**2 + 58*r - 29. Let z(n) be the first derivative of k(n). Suppose z(t) = 0. Calculate t.
1, 3
Let w(a) be the first derivative of -29 - 11/32*a**4 - 1/8*a**3 - 18*a + 0*a**2 + 39/160*a**5. Let f(x) be the first derivative of w(x). Factor f(p).
3*p*(p - 1)*(13*p + 2)/8
Let t(w) be the second derivative of w**6/30 - w**4/6 - w**3/6 + 58*w. Let n(d) = -45*d**4 + 98*d**3 - 4*d**2 - 12*d. Let v(z) = -n(z) + 4*t(z). Factor v(f).
f*(f - 2)*(7*f - 2)*(7*f + 2)
Determine c so that c**4 + 9*c - 3*c**4 - 23*c + 70*c**2 - 140 + 6*c**3 - 41*c - 23*c = 0.
-5, -1, 2, 7
Suppose 0 = -28*m + 24*m - 3*j + 9, -5*m + 20 = 2*j. Suppose -140*s**2 + 32*s + 148*s - 11*s**4 + 0*s**4 - 80 + m*s**4 + 45*s**3 = 0. What is s?
1, 2, 4
Suppose 0 = 5*k - 4*t - 97, 0 = -10*k + 5*t + 7671 - 7531. Factor -k*h**3 - 1/2*h**4 + 3/2*h**2 - 98 + 70*h.
-(h - 2)**2*(h + 7)**2/2
Let y be ((-1)/(-48))/(1455/388). Let i(r) be the third derivative of -29*r**2 + 0 + 0*r - 4/45*r**5 + 0*r**4 - y*r**6 + 0*r**3. Factor i(o).
-2*o**2*(o + 8)/3
Let m(i) be the second derivative of i**7/105 - 2*i**6/15 + 13*i**5/50 + 2*i**4 + 12*i**3/5 - 1076*i. Let m(y) = 0. What is y?
-1, 0, 6
Let d(f) be the first derivative of -2*f**3/39 + 5*f**2/13 + 652. Let d(h) = 0. What is h?
0, 5
Determine j so that 1 + 273*j**2 + 15 - 138*j**2 - 137*j**2 + 56 - 18*j = 0.
-12, 3
Let s(f) be the first derivative of 47 + 1/9*f**3 - 7/6*f**2 + 4*f. Factor s(z).
(z - 4)*(z - 3)/3
Factor 4/7*r**2 + 0 + 2/7*r**3 - 6/7*r.
2*r*(r - 1)*(r + 3)/7
Let x(n) be the second derivative of 1/378*n**7 + 16/45*n**5 + 0*n**2 + 0*n**3 + 0*n**4 + 0 + 84*n + 8/135*n**6. Factor x(h).
h**3*(h + 8)**2/9
Let k(d) be the first derivative of -2*d**6/3 + 8*d**5 - 17*d**4 - 208*d**3/3 + 120*d**2 + 536. Suppose k(m) = 0. Calculate m.
-2, 0, 1, 5, 6
Let m = 95 - 82. Suppose w = 15 - m. Factor -4*g**3 - w*g + 3*g + 3*g.
-4*g*(g - 1)*(g + 1)
Let a(b) = -3*b**2 + 304*b - 626. Let h(y) = 5*y**2 - 506*y + 1043. Let z(f) = 17*a(f) + 10*h(f). Determine j, given that z(j) = 0.
2, 106
Let r(q) be the second derivative of 5*q**9/6048 - q**8/112 + 2*q**6/9 + 35*q**3/3 - 29*q. Let j(a) be the second derivative of r(a). Factor j(w).
5*w**2*(w - 4)**2*(w + 2)/2
Let q(l) be the first derivative of -3*l**5/5 + 21*l**4/4 + 25*l**3 - 453*l**2/2 + 360*l - 427. What is z in q(z) = 0?
-5, 1, 3, 8
Suppose 16*t = -10*t + 13260. Factor t - 510 - 2*g**2.
-2*g**2
Factor 18757/6*a**2 + 45*a**3 + 1/6*a**4 + 11970*a + 35378/3.
(a + 2)**2*(a + 133)**2/6
Let x be (38/4446)/(4/8). Let w = x - -76/117. What is k in 2/3*k**2 + 4/9*k + 10/9*k**5 - 14/9*k**3 + 0 - w*k**4 = 0?
-1, -2/5, 0, 1
Let x(v) = 6*v**4 + 9*v**3 - 6*v**2 + 9*v - 18. Let c = 59 - 55. Let y(h) = 3*h**4 + 4*h**3 - 3*h**2 + 4*h - 8. Let w(r) = c*x(r) - 9*y(r). Factor w(l).
-3*l**2*(l - 1)*(l + 1)
Let l(c) = -21*c - 54. Let r be l(-3). Let u(h) = h**2 - 35*h + 46. Let n(x) = -x**2 + 70*x - 91. Let y(b) = r*u(b) + 4*n(b). Factor y(k).
5*(k - 5)*(k - 2)
Let h be 155296/75960 + 4/(-9). Let 28/5*s**4 + 62/5*s**3 - 6/5*s**2 + h - 32/5*s = 0. Calculate s.
-2, -1, 2/7, 1/2
Suppose 2*l - 5*j - 24 = 0, 4*j = 2*l + 2*j - 24. Factor -4*t**3 + t + t**3 + l*t - 10*t.
-3*t*(t - 1)*(t + 1)
Determine c, given that -2/5*c**2 - 228 - 1142/5*c = 0.
-570, -1
Suppose -409 = -7*z + 53. Let i = z - 196/3. Let -5/3*b - 4/3*b**2 - i - 1/3*b**3 = 0. Calculate b.
-2, -1
What is t in -2244/5 + 32*t + 4/5*t**2 = 0?
-51, 11
Let b be 1/(-11) + 1225/770. Let g(l) be the secon