2 - 6. Let s(i) = -i**2 - 1. Let h(m) = -6*s(m) + w(m). Factor h(l).
-3*l**2*(l - 1)*(l + 3)
Suppose z + 231 = 8*z. Let t = 34 - z. Factor -11/2*n - 7*n**2 - t.
-(2*n + 1)*(7*n + 2)/2
Let j(h) be the first derivative of h**3/5 + 3*h**2/5 - 9*h - 217. Determine p so that j(p) = 0.
-5, 3
Let w(v) be the first derivative of -v**4/2 + 5*v**3/3 + 2*v**2 - 3*v - 81. Factor w(i).
-(i - 3)*(i + 1)*(2*i - 1)
Let y(a) be the second derivative of 0*a**4 - 1/360*a**5 - 1/2*a**2 + 5*a + 0 + 1/36*a**3. Let z(q) be the first derivative of y(q). Solve z(k) = 0 for k.
-1, 1
Let t(a) be the second derivative of a**7/13860 - a**6/1320 - 3*a**4/4 + 11*a. Let h(o) be the third derivative of t(o). Suppose h(f) = 0. Calculate f.
0, 3
Let n(k) = -11*k**2 + 111*k + 131. Let j(d) = 3*d**2 - 28*d - 33. Let c(w) = -9*j(w) - 2*n(w). Factor c(l).
-5*(l - 7)*(l + 1)
Let a be 504/396 + 4/66. Factor 2/3 + a*l**2 + 2*l - 2*l**4 - 2/3*l**5 - 4/3*l**3.
-2*(l - 1)*(l + 1)**4/3
Let k = -54 - -39. Let g be ((-2)/6)/(k/9). Determine l so that 2/5*l - 2/5*l**3 - g*l**4 + 0 + 1/5*l**2 = 0.
-2, -1, 0, 1
Let l(t) = -t**3 - 3*t**2 + 5*t + 6. Let g be l(-4). Let a = 185/4 + -183/4. Factor -a*u - 1/4 - 1/4*u**g.
-(u + 1)**2/4
Let x be (1 + -3)/(5 + -2 - 4). Let n be (-19)/(-44) - 8/44. Factor -1/4*f**x + 1/2*f - n.
-(f - 1)**2/4
Let f(p) = -p**3 + 4*p**2 - p - 2. Let c(o) = -159*o**3 - 6402*o**2 - 2813*o - 306. Let k(j) = c(j) + 3*f(j). Solve k(q) = 0.
-39, -2/9
Let r(k) = -5*k**3 - 65*k**2 - 40*k + 5. Let c(f) = -3*f**2 - f + 1. Let w(q) = -15*c(q) + r(q). Solve w(x) = 0 for x.
-2, -1
Suppose 2*v + 4*f - 21 = 9, 3*v - 30 = -3*f. Suppose 0 = -4*t - w - 0*w + 20, -v*t + w = -25. Factor t*z**2 + z**3 - 2*z + 4*z**2 - 11*z**2 + z**2.
z*(z - 2)*(z + 1)
Let i(v) = 2*v + 46. Let c be i(-19). Solve 51*x - 4*x**2 + 4*x**4 + c*x**5 - 7*x - 52*x**3 + 16*x**4 - 3 - 13 = 0.
-4, -1, 1/2, 1
Let v(s) = -s - 2. Suppose 0 = 6*k + 14 + 16. Let y be v(k). Factor -y*z + 2*z**4 + 2*z + 2*z**3 + 3*z**2 - z - 5*z**2.
2*z*(z - 1)*(z + 1)**2
Let j(g) = 124*g**2 + 369*g - 340. Let s(h) = -27*h**2 - 92*h + 85. Let a(d) = -2*j(d) - 9*s(d). Suppose a(r) = 0. What is r?
1, 17
Suppose 4*w + 5*w - 171 = 0. Suppose -2 = 3*u - 8. Solve 0 - u*n + w*n**2 - 18*n**2 + 0 = 0.
0, 2
Let a(g) be the first derivative of -g**7/210 + g**6/120 + g**5/30 - g**2 - 11. Let i(r) be the second derivative of a(r). Determine l, given that i(l) = 0.
-1, 0, 2
Let v = 2 + 15. Determine x, given that -3*x**2 - 21 + 16*x + v*x - 9*x = 0.
1, 7
Factor -11*h**5 + 2*h**3 + 2*h**3 + 2*h**3 + 12*h**5 + 3 + 2*h**2 - 7*h - 5*h**4.
(h - 3)*(h - 1)**3*(h + 1)
Let 54*l**2 + 2*l**3 + l**3 + 402*l - 159*l = 0. What is l?
-9, 0
Let j(w) be the second derivative of w**7/14 - w**6/10 - 3*w**5/20 + w**4/4 + 10*w. Factor j(o).
3*o**2*(o - 1)**2*(o + 1)
Solve -4*r**4 - 18*r**3 - 2*r**3 - 3*r**5 - 2*r**4 + 5*r**5 = 0 for r.
-2, 0, 5
Determine h, given that -34/3*h**3 - 2/9*h**4 - 1250/9*h - 150*h**2 + 0 = 0.
-25, -1, 0
Let v(c) be the third derivative of 0*c - c**2 + 0*c**3 - 1/84*c**8 + 0*c**5 + 1/210*c**7 + 0*c**6 + 0 + 0*c**4. Find r such that v(r) = 0.
0, 1/4
Let s = -31 - -39. Let h = s + -6. Suppose 60*c**h - 2*c**3 - c**3 - 63*c**2 = 0. Calculate c.
-1, 0
Solve -5*a**2 - 140*a**4 - 3*a**2 + 142*a**4 = 0.
-2, 0, 2
Suppose 0 = 23*c + 21 + 13 - 80. Factor -16/3 + 2/3*o**c - 4/3*o.
2*(o - 4)*(o + 2)/3
Let m be ((-18)/(-4))/(3 + 84/(-32)). Let k(p) = -p**3 + 3*p**2 - 28*p + 11. Let i(o) = -2*o**3 + 8*o**2 - 70*o + 28. Let s(v) = m*k(v) - 5*i(v). Factor s(b).
-2*(b - 1)**2*(b + 4)
Let b = -95 - -166. Factor 205*i - 5*i - 30*i**2 - 125 - b*i**3 - 5*i**4 + 31*i**3.
-5*(i - 1)**2*(i + 5)**2
Let l be 32/(-14) + 2 + 16/56. Factor l + 0*g + 2/9*g**2.
2*g**2/9
Let z be 0 - 0 - (-8 + 26). Let t be (-18)/(-4)*(-120)/z. Let t - 3*n**2 - 30 + 3*n = 0. What is n?
0, 1
Suppose 506*c - 2420 = -396. Factor -20/9*b**2 + 4/3*b**3 - 14/3*b + 2/3*b**c - 2 - 2/9*b**5.
-2*(b - 3)**2*(b + 1)**3/9
Suppose 5*f - 4 = 26. Factor -25*w**2 - 8*w**3 - 3*w - 6*w**3 - 2*w - f*w**3.
-5*w*(w + 1)*(4*w + 1)
Let l(a) be the first derivative of -1/4*a**3 + 0*a**2 + 1/4*a - 1/8*a**4 + 2. Let l(x) = 0. Calculate x.
-1, 1/2
Let q = -4982 + 4987. Suppose 2/3*c - 7/3*c**2 + 7/3*c**4 + c**3 - 5/3*c**q + 0 = 0. Calculate c.
-1, 0, 2/5, 1
Let f(x) be the second derivative of 5*x**4/12 - 25*x**3/3 + 125*x**2/2 - 22*x. Factor f(h).
5*(h - 5)**2
Let g(t) be the first derivative of t**4/10 + 6*t**3/5 + 8*t**2/5 + 19. Solve g(w) = 0.
-8, -1, 0
Solve -79*x - x**2 - 1234 - 383 - 9*x - 319 = 0.
-44
Determine b so that -3/2*b**2 + 25/2*b - 4 = 0.
1/3, 8
What is p in -2/3*p**4 - 34/3*p**2 + 0 - 20/3*p - 16/3*p**3 = 0?
-5, -2, -1, 0
Let j(t) be the second derivative of t**6/30 - 7*t**5/20 + 2*t**4/3 + 8*t**3/3 - 6*t - 5. Factor j(q).
q*(q - 4)**2*(q + 1)
Let z = -221 + 223. Let p = 5 - -2. Let -2*d**5 + z*d**4 + 7*d**4 - d - p*d**4 + 3*d**5 - 2*d**2 = 0. Calculate d.
-1, 0, 1
Suppose 4*v - 12 = -0. Factor -19*g**4 - v*g**3 - 3*g**2 + 14*g**4 + 3*g + 8*g**4.
3*g*(g - 1)**2*(g + 1)
Determine b, given that -34*b**3 - 381*b - 234 - 141*b**2 - 29*b**3 + 121*b**3 - 27*b**3 - 25*b**3 = 0.
-3/2, -1, 26
Let r = 82 - 91. Let p be ((-2)/2)/(r/45). Factor 22/5*v**4 + 0*v - v**p + 0 + 8/5*v**2 - 28/5*v**3.
-v**2*(v - 2)**2*(5*v - 2)/5
Let q(y) be the third derivative of -y**9/6720 + y**8/10080 + 4*y**5/15 - 6*y**2. Let h(d) be the third derivative of q(d). Factor h(f).
-f**2*(9*f - 2)
Suppose 3*r + 5*p = -7, 3*r = 3*p + 1 - 16. Let j be (r - (-142)/36)*-8. Suppose 2/9*a**2 + j*a + 0 - 2/9*a**3 = 0. Calculate a.
-1, 0, 2
Let y(r) be the third derivative of 1/24*r**4 + 0 - 1/60*r**5 + 2*r**3 - 47*r**2 + 0*r. Factor y(x).
-(x - 4)*(x + 3)
Let b = -1135 - -181601/160. Let q(k) be the third derivative of 9*k**2 - b*k**6 + 0 + 0*k - 1/16*k**5 - 1/4*k**4 - 1/2*k**3. Suppose q(r) = 0. Calculate r.
-2, -1
Suppose 21*j = 44 - 2. Let s(x) be the second derivative of 0 + 0*x**3 + 5*x + 0*x**j + 8/21*x**7 + 6/5*x**5 + 6/5*x**6 + 1/3*x**4. Factor s(u).
4*u**2*(u + 1)**2*(4*u + 1)
Let u(c) be the first derivative of -c**4 + 16*c**3 - 72*c**2 + 128*c + 247. Suppose u(n) = 0. What is n?
2, 8
Factor -13*i - 7*i**2 - 71 + 16 + 2*i**2 + 73*i.
-5*(i - 11)*(i - 1)
Determine z so that 6 - 13 + 54*z**3 + 2 - 47 - 492*z**2 - 28 - 472*z = 0.
-2/3, -2/9, 10
Let g be (-2)/4*12/(-2). Suppose -u = -5*r + 20, -g*r = -6*r + u + 12. Factor -16*z**3 + 4*z**r + 0*z**4 + 4*z**2 + 8*z**3.
4*z**2*(z - 1)**2
Let f be -6*2/3 - -10. Suppose z = 5*l - 14, -3*z + f*z = -12. Factor -2/11*u**3 + 2/11*u - 6/11*u**l + 6/11.
-2*(u - 1)*(u + 1)*(u + 3)/11
Let v be ((-600)/(-18))/20*(-4)/(-30). Factor 2/9*u**3 + 0*u - v*u**2 + 0 - 2/9*u**5 + 2/9*u**4.
-2*u**2*(u - 1)**2*(u + 1)/9
Let n(g) be the third derivative of 0*g + 0 + 1/90*g**6 - 32/9*g**3 + 4/9*g**4 - 15*g**2 + 7/45*g**5. Determine z, given that n(z) = 0.
-4, 1
Find s such that 28*s + 5 + 1969*s**2 - 1 - 1945*s**2 = 0.
-1, -1/6
Suppose -u = -5*o - 17 + 30, 0 = -3*u + 21. Suppose 3*g + 0*g**2 - 3/4*g**o + 0 - 9/4*g**3 = 0. What is g?
-2, 0, 1
Let t(r) be the third derivative of -r**6/660 + 19*r**5/330 - 21*r**4/44 + 15*r**3/11 + 122*r**2. Factor t(a).
-2*(a - 15)*(a - 3)*(a - 1)/11
Let x(q) be the second derivative of -q**4/72 + 11*q**3/18 - 121*q**2/12 - 2*q + 68. Suppose x(p) = 0. What is p?
11
Let w(b) be the second derivative of 0 + 0*b**4 + 1/72*b**5 + 1/6*b**3 + 0*b**2 - 1/216*b**6 - 6*b. Let r(l) be the second derivative of w(l). Factor r(o).
-5*o*(o - 1)/3
Suppose -2*a = 14 + 2. Let k = -3 - a. Factor -g**k + 3*g**5 - 3*g**5 + 2*g**5 - g**3.
g**3*(g - 1)*(g + 1)
Suppose 16 = -0*f + 4*f. Let x(n) = -6*n + 98. Let d be x(16). Factor -s - 2 + f*s**2 - s**2 + 9*s**2 - 11*s**d.
(s - 2)*(s + 1)
Let x(s) = -6*s**3 + 2*s**2 - 2. Let l(f) = -f**4 + 19*f**3 - 4*f**2 + 7. Let a(h) = -2*l(h) - 7*x(h). Factor a(n).
2*n**2*(n - 1)*(n + 3)
Let j(q) be the second derivative of 0*q**3 - 1/4*q**5 - 8*q + 0*q**2 + 0*q**4 - 1/6*q**6 + 0. Factor j(w).
-5*w**3*(w + 1)
Suppose 47 - r**4 - 5*r**3 - 27 - 22 - 7*r - 9*r**2 = 0. What is r?
-2, -1
Suppose 0*h = -5*h + 40. Suppose 4*n + 3 = 5*i + 21, -h = -5*n - i. Suppose n*q**3 - q**2 - 3*q - q + 4*q - q**4 = 0. Calculate q.
0, 1
Suppose 2*p + g + 4*g - 8 = 0, -4 = -p + 5*g. Suppose 0*u 