**3.
-(s + 1)*(s + 2)**3/4
Let n(l) be the second derivative of 35*l**4/12 + 1695*l**3/2 + 725*l**2 - 1920*l. Determine q, given that n(q) = 0.
-145, -2/7
Determine x so that -144*x**3 - x**5 - 1548561*x**2 - 2*x**5 + 120*x + 4395*x - 84*x**4 + 2250 + 1550763*x**2 = 0.
-25, -6, -1, 5
Let h(b) be the third derivative of b**8/896 + b**7/35 + 11*b**6/40 + 101*b**5/80 + 199*b**4/64 + 35*b**3/8 - 270*b**2. Let h(l) = 0. Calculate l.
-7, -5, -2, -1
Find s such that -17/2*s - 1/4*s**2 + 18 = 0.
-36, 2
Let f be (-10)/(((-62275)/(-376))/(-53)). Factor 1/5*v**2 - 3*v - f.
(v - 16)*(v + 1)/5
Let m = -136 + 140. Let -m*l**2 + 2*l**4 + 0*l**2 + 2*l**4 = 0. What is l?
-1, 0, 1
Determine i so that 0*i**4 + 4*i**5 + 22267*i**3 + 204 + 60*i**4 - 264*i**2 - 22419*i**3 + 148*i = 0.
-17, -1, 1, 3
Solve -4*k**2 - 4/7*k**3 - 4*k + 60/7 = 0.
-5, -3, 1
Let j be ((-2497181)/(-225896))/(((-9)/4)/(-3)). Let h = j + -11/906. Find l, given that -36/11*l - h - 2/11*l**2 = 0.
-9
Let q(u) be the second derivative of -11/8*u**4 + 53 + 0*u**2 - 3*u - 27/40*u**5 + 21/4*u**3 - 1/20*u**6. Solve q(z) = 0.
-7, -3, 0, 1
Let q(k) be the first derivative of 86 + 45/4*k**4 - 40*k + 70*k**2 + 170/3*k**3. Factor q(t).
5*(t + 2)**2*(9*t - 2)
Let w(j) be the third derivative of -j**7/2940 - j**6/315 + j**5/84 - j**3 - 3*j**2 + 1. Let x(t) be the first derivative of w(t). Factor x(n).
-2*n*(n - 1)*(n + 5)/7
Let c = 169062 - 845304/5. Find i, given that -c*i**2 - 42/5*i - 12 = 0.
-5, -2
Let y = -330 - -410. Let i be (3*y/(-168))/(-1). What is a in 4/7*a - 2*a**3 + 0 + i*a**2 = 0?
-2/7, 0, 1
Let i = -214 + 221. Suppose -5*r = -3*p - 9, -3*r + 0*r + i = -p. Let 1/7*q**p + 0 - 1/7*q**3 + 2/7*q = 0. What is q?
-1, 0, 2
Let j(a) = 7*a**3 - 78*a**2 + 11*a + 2. Let n be j(11). Find x such that 10 + 2/3*x**n + 2/3*x**3 - 34/3*x = 0.
-5, 1, 3
Let m(d) be the third derivative of -d**7/42 - 17*d**6/24 - 35*d**5/4 - 465*d**4/8 - 225*d**3 - 2204*d**2. Factor m(x).
-5*(x + 3)**2*(x + 5)*(x + 6)
Let u be (1/((-15)/6))/((-112)/1260). Let y(l) be the first derivative of l**3 + 2 - u*l**2 - 12*l. Solve y(m) = 0.
-1, 4
Let x(o) be the third derivative of -o**8/30240 - 23*o**7/7560 - 7*o**6/180 - 101*o**5/30 - 137*o**2. Let q(r) be the third derivative of x(r). Factor q(l).
-2*(l + 2)*(l + 21)/3
Let v(w) = w**2 + 2*w + 2. Let u(p) = -6*p**2 + 5776*p + 4193392. Let d(z) = -u(z) - 8*v(z). Factor d(y).
-2*(y + 1448)**2
Let w be (96/(-10))/3*(-57 + 62). Let c be -7 - 184/w - 2. Solve 0 + 1/2*u - c*u**2 + 2*u**3 = 0.
0, 1/4, 1
Let b(x) be the first derivative of -5*x + 25/2*x**4 - 20*x**3 + 15*x**2 - 3*x**5 + 15. Let b(i) = 0. What is i?
1/3, 1
Let f be 2/(-16) + (1617/(-56))/(-7). Suppose -4*x + 5*w - 17 = 0, f*x + 0*x + w - 13 = 0. Suppose 6/5 + v - 1/5*v**x = 0. What is v?
-1, 6
Let p(r) be the first derivative of -r**5/5 + r**3/3 - r + 47. Let n(l) = -3*l**4 + 4*l**3 + 4*l**2 - 16*l - 20. Let c(b) = -3*n(b) + 12*p(b). Factor c(k).
-3*(k - 2)*(k + 2)**3
Let o = 287 - -329. Let f = o - 4913/8. Factor 3/8*g**3 + 0 + f*g**2 + 3/2*g.
3*g*(g + 1)*(g + 4)/8
Let c = -23011/9 - -115487/45. Factor c*h**3 + 66/5*h - 9/5 - 21*h**2.
3*(h - 1)**2*(16*h - 3)/5
Let l(h) be the first derivative of -27*h**4/4 + 3972*h**3 + 7953*h**2/2 + 1326*h + 7394. Factor l(a).
-3*(a - 442)*(3*a + 1)**2
Let b(a) be the first derivative of -a**5/105 - a**4/2 + 23*a**2/2 + 3*a + 149. Let t(r) be the second derivative of b(r). Determine j so that t(j) = 0.
-21, 0
Suppose -38 = 71*f - 12 - 168. Let k(g) be the third derivative of 0 - 3*g**f + 21/8*g**4 + 1/4*g**5 + 0*g + 1/120*g**6 + 49/6*g**3. Factor k(r).
(r + 1)*(r + 7)**2
Let u(m) be the third derivative of m**7/84 - 181*m**6/24 - m**2 - 864. Suppose u(d) = 0. Calculate d.
0, 362
Let r = 142561/40 - 28509/8. Factor r*a**2 - 8/5*a - 2.
2*(a - 5)*(a + 1)/5
Suppose 4*s + y - 12 = 0, 120*s + 2*y - 24 = 121*s. Factor 10/13*n**2 + 0*n - 2/13*n**3 + s.
-2*n**2*(n - 5)/13
Factor -216*p**2 + 698 - 590*p - 103 + 211*p**2.
-5*(p - 1)*(p + 119)
Let o be (6/2 + (-21)/8)/((-264)/(-2640)). Let b(x) be the first derivative of -1/8*x**4 + 4*x + x**3 - 8 + o*x**2. Factor b(z).
-(z - 8)*(z + 1)**2/2
Let z(l) be the third derivative of -7*l**6/480 + 5557*l**5/120 - 1102469*l**4/24 - 157609*l**3/3 + 48*l**2 - 5*l. Find r such that z(r) = 0.
-2/7, 794
Let f(q) be the third derivative of 0*q + 1/330*q**5 + 2 + 3481/33*q**3 - 59/66*q**4 + 29*q**2. Factor f(x).
2*(x - 59)**2/11
Let j = 9343 - 28028/3. Let n(c) be the second derivative of 21*c - 1/30*c**6 + 0 + 0*c**2 + 0*c**5 - j*c**3 + 1/4*c**4. What is v in n(v) = 0?
-2, 0, 1
Let y(s) be the first derivative of 5*s**4/4 - 90*s**3 + 14. Factor y(k).
5*k**2*(k - 54)
Let g = 183548/68979 + 132/22993. Determine r so that g*r**3 + r**4 - 2*r**2 + 1 - 8/3*r = 0.
-3, -1, 1/3, 1
Let g(n) be the first derivative of n**4/16 + n**3/6 - n**2/2 - 2*n - 2487. Factor g(m).
(m - 2)*(m + 2)**2/4
Suppose 86*u - 85*u - 61*a - 249 = 0, 29 = 5*u - a. Factor -4*x + 1/4*x**3 + u + 1/4*x**2.
(x - 2)**2*(x + 5)/4
Determine b, given that -3/5*b**2 - 108/5 - 9*b = 0.
-12, -3
Let c(d) be the first derivative of 2*d**3/9 - 2704*d**2/3 + 3655808*d/3 - 4955. Determine v so that c(v) = 0.
1352
Let l(v) be the third derivative of -5/2*v**4 + 0*v + 16/3*v**3 - 52*v**2 - 2/15*v**5 + 0. Solve l(r) = 0.
-8, 1/2
Let j = 142183/18958 - -1/9479. Factor -3/2*v**3 - 15/2*v**2 + j + 3/2*v.
-3*(v - 1)*(v + 1)*(v + 5)/2
Let s(a) be the first derivative of -a**3 + 102*a**2 - 396*a - 695. Suppose s(l) = 0. Calculate l.
2, 66
Let b(t) be the first derivative of t**6/450 - 2*t**5/15 + 19*t**4/30 + 136*t**3/3 + 135. Let a(i) be the third derivative of b(i). Factor a(g).
4*(g - 19)*(g - 1)/5
Suppose -18*g - 110*g = -5*g - 246. Let z(i) be the second derivative of -i**g + 0 + 2/15*i**5 - 4/9*i**4 + 43*i - 11/9*i**3. Factor z(s).
2*(s - 3)*(2*s + 1)**2/3
Let f(s) = -3*s**3 + s - 1. Let z(y) = -2*y**4 - 88*y**3 + 432*y**2 - 960*y + 582. Let w(u) = -12*f(u) + z(u). Solve w(q) = 0 for q.
-33, 1, 3
Let m(h) be the third derivative of h**7/840 - h**6/15 + 5*h**5/48 + 31*h**4/16 - 756*h**2 - h. Factor m(a).
a*(a - 31)*(a - 3)*(a + 2)/4
Let n(a) be the second derivative of a**5/5 + 739*a**4/3 + 2950*a**3/3 + 1474*a**2 - 33*a - 16. Factor n(u).
4*(u + 1)**2*(u + 737)
Let j(u) be the first derivative of 2*u**5/45 + 5*u**4/18 - 4*u**3/3 - 8*u**2 + 1706. Factor j(y).
2*y*(y - 4)*(y + 3)*(y + 6)/9
Let w(d) be the first derivative of 2/3*d**3 - 37 + 13/2*d**2 + 18*d. Factor w(t).
(t + 2)*(2*t + 9)
Solve 20073*i**3 - 1261*i**4 + 7118*i**2 - 1280100*i + 10642*i**4 + 1341*i**5 + 1280046*i + 4861*i**2 = 0.
-3, -1, 0, 2/447
Let n be 30/20 - (-4756)/(-3480) - (-131)/30. Factor -y**3 - 5*y - n*y**2 - 7/4 + 1/4*y**4.
(y - 7)*(y + 1)**3/4
Let f(u) = -465*u + 73472. Let j be f(158). Let q = -203 - -619/3. What is r in -q*r**j + 5/3*r**3 - 20/3 - 35/3*r = 0?
-1, 4
Suppose -2214*t + 5430 = -1671*t. Suppose 5*l = 2*l + p + 10, 4*p = -3*l + 20. Suppose t*i**3 - 5/2*i**l + 15/2 - 5*i**2 - 10*i = 0. What is i?
-1, 1, 3
Let w(a) be the first derivative of a**4/114 - 25*a**3/57 + 24*a**2/19 + 124*a + 139. Let f(d) be the first derivative of w(d). Let f(b) = 0. Calculate b.
1, 24
Let m(x) be the third derivative of -x**8/252 - 8*x**7/315 - x**6/18 - 2*x**5/45 + 2*x**2 - 437*x. Suppose m(s) = 0. What is s?
-2, -1, 0
Let d(i) be the third derivative of -i**5/20 - 67*i**4 - 534*i**3 - 1205*i**2. Factor d(h).
-3*(h + 2)*(h + 534)
What is k in 45 - 1/5*k**5 + 63*k + 74/5*k**2 - 11/5*k**4 - 26/5*k**3 = 0?
-5, -3, -1, 3
Let z(o) be the third derivative of -o**8/336 + o**7/21 - o**6/4 + 45*o**4/8 - 27*o**3 + 1196*o**2. Factor z(l).
-(l - 3)**4*(l + 2)
Let a(x) = 2*x + 7. Let b be a(-2). Let y = -22/1143 - -6968/5715. Factor 32/5*w**b + 0 - y*w + 16/5*w**2.
2*w*(4*w - 1)*(4*w + 3)/5
Let n be ((-72)/(-3136)*21)/12. Let w(y) be the third derivative of -1/4*y**6 + 1/5*y**5 + 3/70*y**7 + 0*y**4 + 0*y**3 + y**2 + 0*y + n*y**8 + 0. Factor w(x).
3*x**2*(x + 2)*(3*x - 2)**2/2
Let a(g) be the third derivative of 105*g**2 + 13/300*g**6 + 81/20*g**4 - 1/1050*g**7 + 0 + 243/10*g**3 + 0*g - 18/25*g**5. Find z, given that a(z) = 0.
-1, 9
Let s(w) be the second derivative of 1/16*w**4 + 13/8*w**3 - w + 9/2*w**2 + 18. Factor s(p).
3*(p + 1)*(p + 12)/4
Let w(m) be the s