*3.
-2*(k - 50)*(k - 1)**3/5
Factor 184 - 3821*v**2 + 96*v**3 + 89*v**3 - v**4 + 3638*v**2 - 185*v.
-(v - 184)*(v - 1)**2*(v + 1)
Let o(s) be the first derivative of s**4/4 - 5*s**3/2 + 9*s**2 + 30*s + 40. Let p(r) be the first derivative of o(r). Factor p(j).
3*(j - 3)*(j - 2)
Let b = 80553/33565 + 3/33565. Let 4/5*i**2 + b - 14/5*i = 0. Calculate i.
3/2, 2
Find k such that 532/13 - 2/13*k**2 + 530/13*k = 0.
-1, 266
Suppose 4*x = -4*o, 0 = -4*x + 9*o - 38 + 90. Solve -108/5*p**2 + 0 + 36/5*p**3 + 0*p - 3/5*p**x = 0 for p.
0, 6
Let l(d) be the third derivative of d**6/30 - 32*d**5/15 + 104*d**4/3 - 256*d**3 - 808*d**2. Factor l(q).
4*(q - 24)*(q - 4)**2
Find g, given that -135/2*g**4 - 26 + 25/4*g**5 + 93*g - 721/4*g**3 + 25/2*g**2 = 0.
-2, -1, 2/5, 13
Let h be (8 - (-8 - -21))/(30/(-12)). Let n(v) be the first derivative of 27/4*v**4 + 6*v**h - 12 + 0*v + 20*v**3. Suppose n(d) = 0. What is d?
-2, -2/9, 0
Suppose 12863 = -448*m + 13759. Factor 208/3*o - 4/3*o**m - 2704/3.
-4*(o - 26)**2/3
Factor -20 - 88*l**2 + 105*l**3 + 2682109*l - 37*l**2 - 2682269*l.
5*(l - 2)*(3*l + 2)*(7*l + 1)
Solve -2/9*y**3 + 0 - 4/3*y**2 - 10/9*y = 0 for y.
-5, -1, 0
Let f(t) = 16*t**3 - 152*t**2 - 414*t - 52. Let u(d) = -15*d**3 + 148*d**2 + 414*d + 56. Let p(k) = 3*f(k) + 2*u(k). Determine o, given that p(o) = 0.
-2, -1/9, 11
Let o(b) be the second derivative of -34*b + 0*b**2 + 0*b**3 - 2 - 1/36*b**4. Factor o(n).
-n**2/3
Let n(w) be the second derivative of 5*w**7/42 + 8*w**6/3 + 33*w**5/4 - 315*w**4/2 - 630*w**3 + 8100*w**2 - 3574*w. Let n(k) = 0. What is k?
-10, -6, 3
Let d = -436 + 440. Factor -19*w**4 - 10*w**2 - 11*w**5 + 3*w**5 + 40 - 185*w + 55 + 190*w**3 + 3*w**5 - 66*w**d.
-5*(w - 1)**3*(w + 1)*(w + 19)
Suppose -7*k + 2*k + 19 = v, -k + 5*v - 17 = 0. Let u(h) be the first derivative of 0*h**k - 1/10*h**4 - 5 + 0*h + 1/5*h**2. Let u(b) = 0. What is b?
-1, 0, 1
Let i(b) = -10*b**2 + 2333*b - 3328. Let d(q) = -20*q**2 + 4715*q - 6655. Let u(j) = 2*d(j) - 5*i(j). Factor u(p).
5*(p - 222)*(2*p - 3)
Let d = 731/1426 - 9/713. Let x(v) be the second derivative of -49*v - 5/12*v**4 + d*v**5 + 0 + 0*v**3 + 0*v**2 - 1/6*v**6. Find c such that x(c) = 0.
0, 1
Let g(f) be the second derivative of -f**6/360 - f**5/15 + 5*f**4/6 + f**3/3 + 44*f**2 + 21*f + 1. Let r(l) be the second derivative of g(l). Factor r(d).
-(d - 2)*(d + 10)
Let v(t) be the third derivative of -t**7/840 - t**6/90 + t**5/120 + t**4/6 - 65*t**3/6 - 60*t**2. Let b(z) be the first derivative of v(z). Factor b(y).
-(y - 1)*(y + 1)*(y + 4)
Let h(y) be the first derivative of y**4/14 - 356*y**3/7 + 95052*y**2/7 - 11279504*y/7 - 565. Factor h(g).
2*(g - 178)**3/7
Let o(u) be the second derivative of 0 + 0*u**2 + 1/20*u**5 - 19*u - 1/45*u**6 - 3*u**3 + 1/12*u**4. Let y(t) be the second derivative of o(t). Factor y(x).
-2*(x - 1)*(4*x + 1)
Let y(d) be the third derivative of -d**5/660 - 17*d**4/264 + 23*d**3/11 - 7*d**2 - 79*d. Determine j, given that y(j) = 0.
-23, 6
Let r(z) be the second derivative of -z**5/10 + 83*z**4/3 + 341*z**3 + 1548*z**2 - 77*z - 40. Let r(q) = 0. Calculate q.
-3, 172
Suppose -9*i + 5*t = -7*i - 41, 0 = -5*i + t + 91. Let d(p) = p**2 - 324. Let b be d(i). What is h in -2/3*h**2 + 0*h + 1/3*h**3 + b = 0?
0, 2
Let u(r) be the second derivative of 1/2*r**5 + 44*r + 0*r**2 - 5/6*r**3 + 0*r**4 - 5/42*r**7 + 2 + 0*r**6. Factor u(q).
-5*q*(q - 1)**2*(q + 1)**2
Let d = 3467 + -3467. Let v(j) be the first derivative of -4/3*j**2 - 10 + d*j - 2/15*j**5 + 1/2*j**4 + 0*j**3. Factor v(o).
-2*o*(o - 2)**2*(o + 1)/3
Factor 428/11*m + 6/11*m**2 - 730/11.
2*(m + 73)*(3*m - 5)/11
Let h(z) be the second derivative of z**7/14 + 61*z**6/5 + 2697*z**5/5 - 1922*z**4 + 1189*z. Factor h(a).
3*a**2*(a - 2)*(a + 62)**2
Let d(h) be the first derivative of 20*h**3 - 51/2*h**2 + 141 - 9*h. Let d(r) = 0. Calculate r.
-3/20, 1
Let o(g) = -g**3 + 14*g**2 - 16*g - 90. Let w be o(12). Factor -w - 4*i - 2/3*i**2.
-2*(i + 3)**2/3
Suppose -37*u = -51 + 14. Let q be u/2*(-41)/(-41). Factor -11*n - 121/2 - q*n**2.
-(n + 11)**2/2
Let q be 5 + 96/(-20) + 526/(-5). Let n = q + 108. Let -2*f**3 - 2*f + 6*f**3 + 4*f**2 - 2*f**n - 2 - 2*f**2 = 0. Calculate f.
-1, 1
Factor -727608*i + 729316 + 426*i**3 + 1/4*i**4 + 180622*i**2.
(i - 2)**2*(i + 854)**2/4
Let p(z) be the third derivative of -z**5/12 - 5*z**4 + 150*z**3 + 170*z**2 + 3. Factor p(i).
-5*(i - 6)*(i + 30)
Let t(y) be the first derivative of -5/3*y**3 + 17/4*y**2 - 4*y + 8 + 1/8*y**4. Factor t(r).
(r - 8)*(r - 1)**2/2
Factor 25567*v**2 - 24769*v**2 - 134628 + 26892 + 3*v**3 + 52260*v.
3*(v - 2)*(v + 134)**2
Let n = 3407 - 30656/9. Let l(b) be the second derivative of 0 - n*b**3 + 10/3*b**2 + 1/18*b**4 + 7*b. Find r, given that l(r) = 0.
2, 5
Let q(n) be the first derivative of -80*n**6/3 - 8*n**5 + 835*n**4/8 - 175*n**3/2 + 45*n**2/2 + 619. Find l such that q(l) = 0.
-2, 0, 3/8, 1
Let j(l) be the first derivative of l**5/10 - l**4 + l**3 + 10*l**2 + 107*l + 96. Let k(y) be the first derivative of j(y). Factor k(f).
2*(f - 5)*(f - 2)*(f + 1)
What is i in 975 + 19*i - 9*i**2 + 6*i**2 + 8*i + 8*i + i = 0?
-13, 25
Let i(o) be the first derivative of o**4/7 - 52*o**3/7 - 2442*o**2/7 - 29524*o/7 - 1784. Factor i(u).
4*(u - 61)*(u + 11)**2/7
Let y be 1*(-1)/3 - 44/(-6). Factor 2*m**3 + 6*m**2 - y*m - 2*m**3 - 2*m + 3*m**3.
3*m*(m - 1)*(m + 3)
Determine h so that 80*h**4 - 9*h**4 - 34534*h + 153*h**2 - 2*h**5 + 175*h**3 + 6*h**5 + 17296*h + 17283*h = 0.
-15, -1, -3/4, 0
Suppose 0 = -24*k + k + 92. Factor -6 + 4*g**4 - 40*g**3 - 4*g**2 + 11*g + 6*g**2 + 28*g**3 + 0*g**k + g**5.
(g - 1)**3*(g + 1)*(g + 6)
Let s(u) be the third derivative of -u**5/15 - 1055*u**4/6 + 10232*u**2. Factor s(v).
-4*v*(v + 1055)
Let i(q) be the first derivative of 0*q + 0*q**3 - 35 - 6/65*q**5 - 1/39*q**6 - 1/13*q**4 + 0*q**2. Factor i(x).
-2*x**3*(x + 1)*(x + 2)/13
Factor -76*b**3 + 3 + 162*b**3 - 19*b - 85*b**3 - 6 - 7 - 8*b**2.
(b - 10)*(b + 1)**2
Let t(g) be the first derivative of 21*g**4/4 - 1405*g**3 - 603*g**2 + 1054. Solve t(k) = 0 for k.
-2/7, 0, 201
Let k = 109 - 103. Let d = k - 4. Let 5*s**3 + d*s**3 - 4*s**3 - 39*s - 6 + 15*s**2 + 27 = 0. Calculate s.
-7, 1
Suppose -8 + 0 = -2*u. Factor 0 + 2*n**2 - 8*n + 10 + u - 8.
2*(n - 3)*(n - 1)
Let c be (-42)/(-4)*(-576)/(-5040) - (-16)/10. What is o in 1/5*o - c - 1/5*o**3 + 14/5*o**2 = 0?
-1, 1, 14
Let i = -68543 + 68548. Factor -2/11*p**3 + 0*p + 2/11*p**4 + 2/11*p**i - 2/11*p**2 + 0.
2*p**2*(p - 1)*(p + 1)**2/11
Let s(h) = -3*h + 34. Let b be s(10). Suppose -4*u = u + b*z - 31, -4*u = -3*z. Factor -20*o + 51*o**u + 16 + 25*o**4 + 14*o**3 + 20*o**2 - 16.
5*o*(o + 1)*(o + 2)*(5*o - 2)
Let j(t) be the third derivative of -1/18*t**3 + 0 + 0*t + 1/90*t**5 + 1/72*t**4 - 11*t**2. Factor j(o).
(o + 1)*(2*o - 1)/3
Let v be (-2)/(-9) + 3016/36. Let f be v/22 + (-1)/(55/(-10)). Factor 2*a**2 + f*a - 4 - 7*a + a.
2*(a - 2)*(a + 1)
Let g be ((-19)/1)/(-38)*(-14)/(-8). Let k(u) be the first derivative of -13/12*u**3 + g*u**2 - 26 + 1/20*u**5 + 5/16*u**4 + 0*u. Solve k(h) = 0.
-7, 0, 1
Let b be 2/(-5) + 48906/35640 + 3/(-4). Determine m so that -1/9*m**3 + 0*m**2 + 0*m + 1/3*m**4 - b*m**5 + 0 = 0.
0, 1/2, 1
Let p(u) = 2*u**3 + u**2 - 5*u - 1. Let j(h) = -876*h**3 - 6960*h**2 - 13881*h + 51. Let k(l) = j(l) + 3*p(l). Factor k(d).
-3*(d + 4)**2*(290*d - 1)
Let f be 3 + (18018/(-2310) - 2*(-5)/2). Suppose 13/5*u**2 + 7/5*u**3 - 18/5 - 3/5*u + f*u**4 = 0. Calculate u.
-3, -2, 1
Let i(r) = -7 + 24 - 213*r**2 + 194*r**2 + r**3 - 22*r - 7 + 33. Let u be i(20). Find q, given that 0 + 1/4*q**u + 0*q + 1/4*q**2 = 0.
-1, 0
Let t = -371981 + 2976415/8. Solve 405/8*j + t*j**2 + 81/8 + 147/8*j**3 = 0.
-3, -3/7
Factor -75/2 + 2*h**4 - 41/2*h**3 + 107/2*h**2 + 5/2*h.
(h - 5)**2*(h - 1)*(4*h + 3)/2
Let p(h) be the first derivative of -h**4/20 - 4*h**3 - 90*h**2 + 4717. Suppose p(x) = 0. What is x?
-30, 0
Let i be (3/(-4))/(465/100). Let p = 207/62 - i. Suppose 5/2*a**2 + 3/2 + p*a + 1/2*a**3 = 0. What is a?
-3, -1
Let b(t) be the third derivative of 1/240*t**6 + 4*t**2 + 0*t**4 + 0 + 0*t**3 + 45*t - 1/15*t**5. Factor b(y).
y**2*(y - 8)/2
Let l(q) be the third derivative of -1/90*q**5 + 24*q**2 - 4/27*q**3 + 1/270*q**6 - 2/27*q**4 + 1/945*q**7 + 0 - q. Solve l(t) = 0.
-