ose 4*o = 4*x + 28, -32*o + 30*o = 5*x. Let r(v) be the first derivative of 3*v**4 - 2*v**3 - 9/2*v**2 + 0*v**5 - o - 1/2*v**6 + 6*v. Factor r(c).
-3*(c - 1)**3*(c + 1)*(c + 2)
Let v(q) = q**3 - 20*q**2 + 88*q + 68. Let r be v(8). Find x, given that 2/7*x**r + 4/7*x - 4/7*x**3 + 0 - 2/7*x**2 = 0.
-1, 0, 1, 2
Suppose 2*g = -78 + 8. Let r = -31 - g. Factor 4*t**4 - r*t**2 + 5*t**4 - 12*t**4 + 7*t**4.
4*t**2*(t - 1)*(t + 1)
Let l(x) = -44*x + 794. Let t be l(18). Suppose -1/5 - h**t + 9/10*h + 3/10*h**3 = 0. What is h?
1/3, 1, 2
Let m(z) = -3*z**3 + 2*z**2 + 4*z. Let p = -28 - -29. Let r(a) = -a**3. Let f(s) = p*m(s) - r(s). Factor f(g).
-2*g*(g - 2)*(g + 1)
Let t(g) = 5*g**4 - 121*g**3 - 709*g**2 + 143*g + 737. Let j(b) = 2*b**4 - 40*b**3 - 236*b**2 + 48*b + 246. Let l(h) = -11*j(h) + 4*t(h). Factor l(q).
-2*(q - 1)*(q + 1)*(q + 11)**2
Solve 5/2*n**3 - 1/2*n**5 - 6 + 3/2*n**4 - 27/2*n**2 + 16*n = 0 for n.
-3, 1, 2
Let o(t) = -6*t**2 + 200*t - 434. Let n(b) = -4*b**2 + 132*b - 290. Let u(c) = -8*n(c) + 5*o(c). Determine s, given that u(s) = 0.
3, 25
Suppose 0 = 8*x + 44*x + 35*x. Find l such that -12/5*l**2 - 12*l**4 + 58/5*l**3 + x*l + 14/5*l**5 + 0 = 0.
0, 2/7, 1, 3
Let v(x) be the third derivative of -1/168*x**8 + 0*x**5 + 1/105*x**6 + 18*x**2 - 4/245*x**7 + 0*x**4 + 0*x + 0*x**3 + 0. Factor v(y).
-2*y**3*(y + 2)*(7*y - 2)/7
Solve -16/13*y + 2/13*y**2 - 2/13*y**4 - 2/13*y**5 + 8/13 + 10/13*y**3 = 0 for y.
-2, 1
Let d(v) be the third derivative of v**7/105 - v**6/6 + 7*v**5/10 + 10*v**4/3 - 100*v**3/3 - 57*v**2. Factor d(y).
2*(y - 5)**2*(y - 2)*(y + 2)
Let j(t) = -7*t**4 + 9*t**3 - 24*t**2 + 22*t + 3. Let g(x) = 19*x**4 - 27*x**3 + 72*x**2 - 64*x - 8. Let v(w) = -3*g(w) - 8*j(w). Factor v(d).
-d*(d - 4)**2*(d - 1)
Suppose 0*r = r - 17. Let u = -15 + r. Factor 8 + a**2 + 12*a + 4*a**u - a**2.
4*(a + 1)*(a + 2)
Determine f, given that 0*f**3 - 1/4*f**4 + 1/4*f**2 - 1/8*f**5 + 1/8*f + 0 = 0.
-1, 0, 1
Factor 0*x + 16/7*x**2 - 2/7*x**4 + 0 + 4/7*x**3.
-2*x**2*(x - 4)*(x + 2)/7
Factor -2/11*b**2 - 12/11 - 14/11*b.
-2*(b + 1)*(b + 6)/11
Factor -13864*d - 2*d**4 + 13718 + 31*d**3 - 71*d**3 - 2020*d + 2280*d**2 + 4*d**4 - 76*d**3.
2*(d - 19)**3*(d - 1)
Solve 4/3*b**3 - 88/3 - 11/3*b**2 - 355/3*b = 0.
-8, -1/4, 11
Let l(a) be the third derivative of -a**7/280 + a**6/120 + a**5/20 - 4*a**3 - 25*a**2. Let s(u) be the first derivative of l(u). Let s(r) = 0. What is r?
-1, 0, 2
Suppose -4*g - 60 = -2*a, -5*a + 4*g = -g - 155. Let h = a - 32. Factor -8/3*l**4 - 4*l**3 + h - 1/3*l + 5/2*l**2.
-l*(l + 2)*(4*l - 1)**2/6
Let f(m) = -4*m**2 - 4*m + 6. Let n(b) = b**2. Let y(z) = f(z) + 2*n(z). Factor y(l).
-2*(l - 1)*(l + 3)
Let p(x) = -x**2 - 12*x - 18. Let r = 20 - 28. Let t be p(r). Determine i so that t*i**5 + i**2 + 16*i**4 + 7*i**2 - 10*i**5 + 20*i**3 = 0.
-2, -1, 0
Suppose 7*r + 50 = -3*u + 2*r, -102 = 5*u - r. Let n = u + 25. Suppose -8*f**4 + 6*f**4 - 5*f**n + 2*f - 7*f**2 + 3*f**3 + 9*f**4 = 0. What is f?
-1, 0, 2/5, 1
Let x = -12749 - -12749. Factor x + 1/2*g**2 + g.
g*(g + 2)/2
Let o = -18 + 16. Let g be (1/o)/((-9)/54). Let -2*x**2 + 3*x**g + 4*x**2 - 2*x**2 - 3*x = 0. Calculate x.
-1, 0, 1
Let s(b) = b**2 + b. Let t(n) = -15 + 14*n - 9*n + 15*n**2 + 19*n. Let i(l) = -12*s(l) + t(l). Factor i(v).
3*(v - 1)*(v + 5)
Suppose 2*k + 49 = -5*k. Let c(f) = -33*f**2 - 2*f - 1. Let y(m) = -65*m**2 - 5*m - 3. Let r(j) = k*c(j) + 3*y(j). Let r(h) = 0. What is h?
-2/9, 1/4
Let d(s) be the third derivative of s**8/80640 - s**6/2880 + s**5/720 - 5*s**4/8 + 12*s**2. Let i(o) be the second derivative of d(o). Factor i(w).
(w - 1)**2*(w + 2)/12
Let d(h) be the second derivative of -7*h**7/3 + 77*h**6 - 863*h**5/5 + 118*h**4 - 88*h**3/3 + 49*h + 2. Determine u, given that d(u) = 0.
0, 2/7, 1, 22
Suppose 41 - 17 = 8*i. Suppose 2*q = i*n - 12, -5*n - 2*q + 3 + 1 = 0. Factor 5*p + p - 6*p + 6*p**n - 2*p**3.
-2*p**2*(p - 3)
Let t(v) be the second derivative of 9/10*v**5 + 6*v**3 + 1/10*v**6 + 6*v**2 - 37*v + 0 + 13/4*v**4. Find g, given that t(g) = 0.
-2, -1
Let l(k) be the first derivative of -k**3/8 + 3*k**2/4 - 9*k/8 + 147. Factor l(q).
-3*(q - 3)*(q - 1)/8
Find c such that 80/11*c - 2/11*c**3 - 2/11*c**2 + 224/11 = 0.
-4, 7
Factor 7/6*i - 7/3*i**2 + 4/3*i**3 - 1/6.
(i - 1)*(2*i - 1)*(4*i - 1)/6
Let u(b) be the third derivative of b**7/70 - 3*b**6/40 + b**5/10 - 156*b**2. Factor u(p).
3*p**2*(p - 2)*(p - 1)
Let c = -3 + 18. Suppose 3*v + 3*i + 12 = 7*i, -5*v = 5*i - c. Factor -1/3*h**2 + v*h - 1/3*h**5 + 1/3*h**4 + 0 + 1/3*h**3.
-h**2*(h - 1)**2*(h + 1)/3
Let r(t) be the second derivative of -t**5/5 + 7*t**4/6 - 4*t**3/3 + 23*t**2/2 + 16*t. Let i(b) be the first derivative of r(b). Find a such that i(a) = 0.
1/3, 2
Suppose 5*s - 2*s = 42. Let w = s - 10. Solve 2*o**2 - o**2 + 5*o**5 + 3*o**3 - 4*o**5 - o**4 - w*o**5 = 0.
-1, -1/3, 0, 1
Let t(o) be the third derivative of o**7/315 + o**6/90 - 2*o**5/45 - 2*o**4/9 - o**2 + 61*o. Factor t(p).
2*p*(p - 2)*(p + 2)**2/3
Let w be (-66)/(-55)*3/6. Let u(z) be the first derivative of 3/5*z**2 - 3 + 0*z**3 + 3/25*z**5 - w*z - 3/10*z**4. Factor u(b).
3*(b - 1)**3*(b + 1)/5
Factor -1/4*l**3 - 5/4*l**2 + 9/4 - 3/4*l.
-(l - 1)*(l + 3)**2/4
Let z(t) be the second derivative of 2*t**6/33 + 39*t**5/110 + 29*t**4/66 + 2*t**3/11 - 106*t. What is d in z(d) = 0?
-3, -1/2, -2/5, 0
Let 31*g**2 + 27*g**2 - 56*g**2 + 12*g + 16 = 0. What is g?
-4, -2
Find o, given that 54/17*o + 18/17*o**2 - 6/17*o**3 + 0 - 2/17*o**4 = 0.
-3, 0, 3
Let w = 3476/28095 + 18/1873. Determine b so that 0 + 14/15*b + w*b**2 = 0.
-7, 0
Let m(u) = -u**2 + 80*u - 816. Let q be m(68). Let f(r) be the second derivative of -1/3*r**4 + 0 - 4*r + 0*r**2 + q*r**3 + 1/5*r**5. Factor f(j).
4*j**2*(j - 1)
Let w(p) = 50*p**2 + 3*p + 3. Let h be w(-1). Let 5*x**2 - 30 + 96 + h*x + 59 = 0. Calculate x.
-5
Let o be (446/20)/((-18)/135). Let n = 168 + o. Find g such that 0*g + n*g**5 + 0*g**3 + 0 + 9/4*g**4 - 3*g**2 = 0.
-2, 0, 1
Let s be 4299/(-40124)*(5/(-3) - 1). Factor -2/7*y**3 + 0 + 2/7*y + s*y**4 - 2/7*y**2.
2*y*(y - 1)**2*(y + 1)/7
Factor 8*l - 56 - 2/7*l**2.
-2*(l - 14)**2/7
Let q(b) be the first derivative of -3*b**5/5 - 27*b**4/4 - 30*b**3 - 66*b**2 - 72*b + 289. Find l such that q(l) = 0.
-3, -2
Let f be (-3)/(168/1034) + -9 + 6. Let i = f - -87/4. Factor -1/7*n**3 - i*n**2 + 0 - 1/7*n.
-n*(n + 1)**2/7
Let j = -34561 + 69125/2. Determine x so that 1/4*x + j - 1/4*x**2 = 0.
-2, 3
Let 1/4*j**4 + 59/4*j + 6 + 13/4*j**3 + 47/4*j**2 = 0. What is j?
-8, -3, -1
Let -1/9*f**2 - 169 + 26/3*f = 0. What is f?
39
Let p(g) = g**2 - g + 1. Let v = 3 - -6. Let s = v + -12. Let u(r) = -2*r**3 + 3*r**2 + 5*r - 9. Let j(t) = s*p(t) - u(t). Find x, given that j(x) = 0.
-1, 1, 3
Let i(f) be the second derivative of f**4/4 + 4*f**3 + 29*f**2/2 - 26*f. Let m(t) = -2*t**2 - 16*t - 19. Let p(x) = -5*i(x) - 8*m(x). Solve p(d) = 0.
-7, -1
Let f(h) be the second derivative of -h**4/39 + 11*h**3/13 - 16*h**2/13 - 31*h + 2. Let f(k) = 0. Calculate k.
1/2, 16
Let m(w) = -9*w**3 - 85*w**2 - 405*w - 5. Let c(u) = -8*u**3 - 84*u**2 - 404*u - 4. Let p(h) = 5*c(h) - 4*m(h). Solve p(t) = 0 for t.
-10, 0
Let d = -46 + 16. Let v = -27 - d. Factor 2/7*g**v + 4/7*g + 6/7*g**2 + 0.
2*g*(g + 1)*(g + 2)/7
Let d(j) = 4*j**2 - 6*j - 19. Let a(x) = 9*x**2 - 14*x - 39. Let w(u) = 3*a(u) - 7*d(u). Factor w(f).
-(f - 4)*(f + 4)
Let p(q) be the third derivative of -1/130*q**5 + 1/52*q**4 - 10*q**2 + 0 - 1/39*q**3 + 0*q + 1/780*q**6. Factor p(w).
2*(w - 1)**3/13
Let h(c) be the second derivative of 3/80*c**5 + 3/8*c**3 - 19*c + 0 + 3/16*c**4 + 3/8*c**2. Factor h(d).
3*(d + 1)**3/4
Factor -159/2*f + 3/4*f**2 + 8427/4.
3*(f - 53)**2/4
Let l(p) be the second derivative of p**6/165 - 2*p**5/55 + 5*p**4/66 - 2*p**3/33 - 2*p + 4. Factor l(v).
2*v*(v - 2)*(v - 1)**2/11
Suppose -4*m = 3*h + 243 + 39, 3*m = -2*h - 187. Let y = 98 + h. Solve y*d**4 - 1/4*d**5 + 1/4*d**3 + 0*d + 0*d**2 + 0 = 0 for d.
-1, 0, 1
Let s(n) be the second derivative of 0 + 1/45*n**5 - 9*n - 2/9*n**2 - 2/27*n**3 + 1/27*n**4. Let s(i) = 0. What is i?
-1, 1
Let l be -4 - (-2 - -2) - (3 + -2). Let y(i) = -i**3 + 11*i**2 + i - 16. Let d(r) = 6*r**2 - 8. Let a(t) = l*d(t) + 2*y(t). Factor a(k).
-2*(k - 1)*(k + 1)*(k + 4)
Let p(b) be the second derivative of 