(c). Solve t(b) = 0.
-2, -1, 0
Suppose 2*v - 17 = -3*f - 0*v, 17 = 4*f - 3*v. Find o, given that 24*o**4 + 9*o**f - 6 - 33*o + 26*o**4 - 38*o**4 - 24*o**3 - 54*o**2 = 0.
-1, -1/3, 2
Let v(l) = -l**2 - 7*l + 5. Let o be v(-7). Suppose 28 = o*t - 37. Factor -i + 3 - 7*i**3 + t*i**3 - 3*i**2 - 5*i**3.
(i - 3)*(i - 1)*(i + 1)
Suppose 34*z**2 - 6*z + 6*z**4 + 55*z**5 + 6*z**3 - 48*z**3 - 47*z**5 = 0. What is z?
-3, 0, 1/4, 1
Let m = -3 - 9. Let o = -9 - m. Factor 0*g**2 - 2*g**o + 2*g**2 - 4*g**2.
-2*g**2*(g + 1)
Let x(g) be the third derivative of -g**5/20 - 73*g**4/4 - 5329*g**3/2 - 216*g**2 + 2. Factor x(z).
-3*(z + 73)**2
Let v(x) be the first derivative of -x**5/360 + x**3/36 + 7*x**2/2 - 3. Let i(n) be the second derivative of v(n). Factor i(b).
-(b - 1)*(b + 1)/6
Factor 150*a + 11*a + 48*a**2 + 85*a + 0*a**3 - 81 + 6*a**3 - 219*a**2.
3*(a - 27)*(a - 1)*(2*a - 1)
Let d(y) = -y**2 - 15*y - 5. Suppose 28 + 5 = 11*n. Let f(r) = -16*r - 4. Let g(x) = n*f(x) - 4*d(x). Let g(c) = 0. Calculate c.
-2, -1
Suppose 3*j - 2 = -4*d - 6, 5*d + 8 = -3*j. What is p in -j*p - 4/3*p**3 + 0 - 16/3*p**2 = 0?
-3, -1, 0
Let q(j) = j**3 + j**2 + 2*j + 2. Let o be q(0). Factor -24 - 22*d**3 + 17*d - 5*d + 7*d**3 + 18*d**o + 3*d**4.
3*(d - 2)**3*(d + 1)
Let f = 33 + -33. Suppose f*u = w - 2*u - 13, 0 = 3*w + u - 4. Factor 10*v**4 + v - 20*v**4 - 6*v + 8*v**5 - w*v**5 + 10*v**2.
5*v*(v - 1)**3*(v + 1)
Let v = 47 - 45. Solve -2*d**3 - d + 3*d**3 + d**v + 4 - 5 = 0 for d.
-1, 1
Let s be 18 + (0 - 0) + 2. Let u be s/65*39/6. Factor -1/3*c**4 - 1/3*c**3 + 1/3*c + 1/3*c**u + 0.
-c*(c - 1)*(c + 1)**2/3
Let y(i) = 2*i**3 + i - 1. Let r(z) = 10*z**3 + 30*z**2 - 22*z - 6. Let j(g) = -r(g) + 6*y(g). Determine p so that j(p) = 0.
0, 1, 14
Factor -1 + c - 1/4*c**2.
-(c - 2)**2/4
Let w = -1419 + 1425. Let b(n) be the first derivative of 1/2*n**4 + 12 - 54*n + 27*n**2 - w*n**3. Factor b(j).
2*(j - 3)**3
Let i(x) be the second derivative of x**5/6 - 5*x**4/16 + 12*x**2 + 6*x. Let d(w) be the first derivative of i(w). Find a such that d(a) = 0.
0, 3/4
Let j(i) = i**3 - 4*i**2 - 4*i - 4. Let n be j(5). Let y = 1486 - 1484. Let -g - 1/4*g**y - n = 0. Calculate g.
-2
Let p be (35/(-4))/((-19)/76). Let l be 3 + ((-111)/p - (-32)/56). Determine t, given that -2/5*t - l*t**2 + 0 = 0.
-1, 0
Solve -156/5*b**2 - 3*b**5 - 72/5*b + 78/5*b**3 + 0 + 39/5*b**4 = 0 for b.
-2, -2/5, 0, 2, 3
Suppose -4 = -z - 2. Suppose -6*i + 20 = -4*p, -2*p - 54*i + 2 = -55*i. Factor 2/9*n**p + 2/9*n - 2/9*n**3 - 2/9*n**z + 0.
2*n*(n - 1)**2*(n + 1)/9
Factor 3*n**2 + 279*n + 2*n**3 - 279*n + 21*n**2.
2*n**2*(n + 12)
Let u(f) be the first derivative of f**4/36 - 11*f**3/9 - 8*f**2 - 148*f/9 + 454. Solve u(o) = 0 for o.
-2, 37
Let r be (18/30)/(-1*3/(-15)). Let q(z) be the first derivative of 0*z - z**2 + 4 + 5/4*z**4 + z**r. Factor q(c).
c*(c + 1)*(5*c - 2)
Find r, given that 20*r + 100/3 - 4/3*r**5 - 136/3*r**2 - 56/3*r**3 + 12*r**4 = 0.
-1, 1, 5
Let r(l) be the second derivative of l**6/540 - l**5/60 - 5*l**3/3 - 10*l. Let m(q) be the second derivative of r(q). Factor m(y).
2*y*(y - 3)/3
Let h(k) be the second derivative of -k**4/6 - 55*k**3/3 + 56*k**2 - 657*k. Factor h(x).
-2*(x - 1)*(x + 56)
Factor 5*p**2 + 1611*p - 182*p + 451*p + 176720.
5*(p + 188)**2
Let k(q) = -20*q**3 + 45*q**2 + 25*q - 15. Let f(a) = -a**3 + a**2 - 1. Suppose 7 = -v - 2*s, 3*s + 5 = -2*v + 6*v. Let o(p) = v*k(p) + 25*f(p). Factor o(i).
-5*(i + 1)**2*(i + 2)
Let j be -4 + ((-6)/(-16) - 8125/(-2184)). Let i(z) be the first derivative of -2/7*z + 2/7*z**2 - 3 - j*z**3. Find g, given that i(g) = 0.
1
Let l(r) be the third derivative of -3*r**5/20 + 7*r**4/8 - 10*r**3/3 - 22*r**2. Let w(c) = -55*c**2 + 125*c - 120. Let a(g) = -25*l(g) + 4*w(g). Factor a(b).
5*(b - 4)*(b - 1)
Suppose 0 + 1/7*a**2 - 55/7*a = 0. Calculate a.
0, 55
Let k(l) = l**3 + 8*l**2 + 7*l + 8. Let r be k(-7). What is m in -2*m**2 - 2*m**2 + r*m + 2*m**2 + 8 - 16 = 0?
2
Let f(d) be the third derivative of 0 + 0*d + 64/9*d**3 - 4/9*d**4 + 1/90*d**5 - 29*d**2. Factor f(a).
2*(a - 8)**2/3
Let q(n) be the first derivative of 7*n**4/60 + n**3/15 + 9*n - 1. Let z(w) be the first derivative of q(w). Suppose z(r) = 0. Calculate r.
-2/7, 0
Let y(b) be the first derivative of b**3/18 - 5*b**2/12 + 2*b/3 - 78. Factor y(s).
(s - 4)*(s - 1)/6
Suppose -6 + 0 = -3*x. Suppose x = 3*t - 4. Suppose 6*d**3 + 4*d**t + 8*d**3 - 18*d**3 = 0. What is d?
0, 1
Let c(l) be the third derivative of -l**7/350 - l**6/100 + l**5/100 + l**4/20 - l**2 + 39. Factor c(x).
-3*x*(x - 1)*(x + 1)*(x + 2)/5
Suppose 4*x = -5*i + 31, 4*x = -4*i - 0*x + 24. Let n(v) = 2*v - 12. Let c be n(i). Solve 5/2*r**c + 1/2*r**4 + 0 - 2*r**3 - r = 0 for r.
0, 1, 2
Let d(m) be the third derivative of m**8/672 + m**7/140 + m**6/240 - m**5/40 - m**4/24 - 15*m**2 + 1. Solve d(t) = 0.
-2, -1, 0, 1
Let d(h) = 15*h**3 - 1595*h**2 + 42665*h - 14045. Let n(b) = 60*b**3 - 6380*b**2 + 170660*b - 56180. Let u(y) = -15*d(y) + 4*n(y). Factor u(v).
5*(v - 53)**2*(3*v - 1)
Let v(q) be the third derivative of -q**5/270 + 23*q**4/108 - 22*q**3/27 + 116*q**2 - 1. Let v(p) = 0. What is p?
1, 22
Let o(z) be the second derivative of 121*z**5/90 - 77*z**4/54 - 40*z**3/27 - 4*z**2/9 + 235*z + 1. Factor o(h).
2*(h - 1)*(11*h + 2)**2/9
Let l(r) be the first derivative of -5/24*r**4 + 0*r + 3 + 1/6*r**3 + 1/6*r**2. Find u, given that l(u) = 0.
-2/5, 0, 1
Let h(g) be the second derivative of -2*g**6/15 - g**5 - 2*g**4/3 + 40*g**3/3 + 48*g**2 + g - 1. Factor h(t).
-4*(t - 2)*(t + 2)**2*(t + 3)
Let s(z) = 4*z - 17. Let c be s(6). Determine r, given that -2 + 40*r**2 - 15*r**4 + c + 40*r**3 - 70*r**2 = 0.
-1/3, 1
Suppose 0 = -3*s + 3 + 6. Factor 8*y - 4*y + 2*y**3 - 6*y**2 - 5*y**s + 5*y.
-3*y*(y - 1)*(y + 3)
Solve 0 + 1/2*g - 3/4*g**2 + 1/4*g**3 = 0 for g.
0, 1, 2
Let a be (-8)/3*(-15)/20. Solve 14*t**a - 69 + 24*t - 17*t**2 + 21 + 0*t = 0.
4
Let w(o) be the first derivative of -2*o**3/39 - 94*o**2/13 - 186*o/13 - 238. Suppose w(z) = 0. What is z?
-93, -1
Let j be 6 + ((-28)/35 - 5). Let f(z) be the second derivative of 0 + 0*z**2 + 7/24*z**4 - 1/6*z**3 + 3*z - j*z**6 + 7/40*z**5. Solve f(l) = 0 for l.
-2/3, 0, 1/4, 1
Let f(i) = 24*i**4 + 166*i**3 - 320*i**2 + 172*i + 14. Let n(s) = -21*s**4 - 165*s**3 + 321*s**2 - 171*s - 12. Let q(k) = 6*f(k) + 7*n(k). Factor q(m).
-3*m*(m - 1)**2*(m + 55)
Let r be 10 + (-28)/(224/(-78)). Let 7/4*p - r*p**3 - 7*p**5 - 83/4*p**4 + 1/2 - 19/4*p**2 = 0. Calculate p.
-1, -1/4, 2/7
Let r be 21 + -16 - (-3 + (1 - -2)). Factor 0*y + 0 + 3/7*y**2 + 0*y**3 - 9/7*y**4 - 6/7*y**r.
-3*y**2*(y + 1)**2*(2*y - 1)/7
Factor 0 + 0*q - 58/11*q**2 - 2/11*q**3.
-2*q**2*(q + 29)/11
Let s(f) = 2*f**4 + 4*f**3 - 36*f**2 + 24*f + 102. Let v(l) = -4*l**4 - 9*l**3 + 73*l**2 - 49*l - 203. Let x(k) = 13*s(k) + 6*v(k). Factor x(j).
2*(j - 3)**2*(j + 2)*(j + 3)
Let r = -402 - -404. Let x(c) be the first derivative of -3/4*c**4 - 6 + r*c**3 + 0*c - 3/2*c**2. Let x(n) = 0. Calculate n.
0, 1
Let n be (-380)/27*(-66)/55. Solve -18*v**4 - n*v**2 + 16/9*v + 44*v**3 + 0 = 0.
0, 2/9, 2
Let a(q) = -46*q - 1193. Let u be a(-26). Factor 3/4*m**2 - 3/4*m**u + 15/4*m + 9/4.
-3*(m - 3)*(m + 1)**2/4
Let h = 1041 - 312299/300. Let f(q) be the third derivative of h*q**5 + 0 + 1/120*q**4 + 5*q**2 + 0*q - 1/15*q**3. Factor f(n).
(n - 1)*(n + 2)/5
Suppose 279*h - 282*h - 9 = -3*m, 0 = m + 3*h - 3. Factor 4/9*d**5 + 0*d - 8/9*d**4 + 4/9*d**m + 0*d**2 + 0.
4*d**3*(d - 1)**2/9
Let a(x) = x**2 - 3*x - 14. Let z be a(-3). Let k(s) be the first derivative of -6*s**6 + 2*s - 78/5*s**5 - 10*s**4 + 6*s**2 + z*s**3 + 3. Solve k(n) = 0 for n.
-1, -1/3, 1/2
Let j(b) = 13*b**2 - 548*b + 87. Let p be j(42). Let 0 + 0*m + 8*m**4 - m**2 - 9/2*m**5 - 5/2*m**p = 0. What is m?
-2/9, 0, 1
Let x(l) be the third derivative of l**5/240 - 71*l**4/24 + 5041*l**3/6 - 97*l**2 + 3*l. Factor x(s).
(s - 142)**2/4
Let d = -232/17 + 3220/221. Find p such that d*p**2 + 8/13 - 18/13*p - 2/13*p**3 = 0.
1, 4
Let d(g) be the third derivative of 2*g**7/35 - g**6/40 - 13*g**5/5 - 35*g**4/8 + 6*g**3 - 296*g**2. Determine l so that d(l) = 0.
-3, -1, 1/4, 4
Let j(v) be the third derivative of v**8/84 - 34*v**7/105 + 8*v**6/15 + 34*v**2 + 2. Factor j(u).
4*u**3*(u - 16)*(u - 1)
Let p(x) = -36*x - 972. Let y 