3. Factor c(x).
-5*(x + 1)*(x + 7)
Let l(v) = -v**3 + 13*v**2 - v + 16. Let i be l(13). Determine h so that 64*h**3 - 2*h**2 - 65*h**i + 0*h - h = 0.
-1, 0
Let i(k) be the third derivative of -k**8/9240 + k**6/1980 + 5*k**3/6 - 6*k**2 - 1. Let p(t) be the first derivative of i(t). Factor p(f).
-2*f**2*(f - 1)*(f + 1)/11
Suppose -8*r = -30 - 10. Suppose 2*y + 2*y - 2*z + 10 = 0, 0 = -4*y - r*z + 25. Factor -15/8*t**5 + 51/8*t**4 - 63/8*t**3 - 3/4*t + 33/8*t**2 + y.
-3*t*(t - 1)**3*(5*t - 2)/8
Let y be 79/(2133/108) + 1 + (-1 - 0). Solve -4*q**5 - 48/7*q**2 + 0 + 44/7*q**3 - 16/7*q + 48/7*q**y = 0.
-1, -2/7, 0, 1, 2
Find r such that 1/4*r**2 + 289 - 17*r = 0.
34
Let h = 9 + 0. Let f = h - 6. Solve 7*i**4 - 7*i**2 + 3*i**3 + 0*i**3 + 0*i**3 - 2*i - i**f = 0 for i.
-1, -2/7, 0, 1
Let a be (-499)/22 - (-12)/66 - -4. Let n = -85/6 - a. Suppose -1/3*b**4 - 4/3 + 2*b**3 - n*b**2 + 4*b = 0. What is b?
1, 2
Suppose -45/2*t**3 + 3/2*t**5 - 15*t - 3/2*t**4 - 69/2*t**2 + 0 = 0. Calculate t.
-2, -1, 0, 5
Factor -2/3*b**2 + 1/6*b**3 + 8/3 - 2/3*b.
(b - 4)*(b - 2)*(b + 2)/6
Let u = -1/225 + 59/3150. Let j(y) be the third derivative of 0*y**4 + 0 + 1/2*y**3 - 1/10*y**5 + 0*y**6 + 0*y + u*y**7 + 3*y**2. Factor j(w).
3*(w - 1)**2*(w + 1)**2
Let k(c) = -c**5 + 2*c**4 + 4*c**2 - 4*c - 4. Let d be (-35)/(-28)*(-4)/1. Let t(h) = -h**4 - h**2 + h + 1. Let s(w) = d*k(w) - 20*t(w). Factor s(n).
5*n**4*(n + 2)
Let q(l) = l**2 - l - 1. Let y(h) = -h**2 - 5*h. Let r(v) = -3*q(v) - y(v). Let x be r(4). Solve -3*z**x + 5*z**2 - 3*z + z**2 + 0*z = 0 for z.
0, 1
Let b = -1038 + 3115/3. Find d such that 0 + b*d**2 + 0*d = 0.
0
Let g(y) be the first derivative of -5*y**6/2 + 11*y**5 - 45*y**4/4 - 35*y**3/3 + 30*y**2 - 20*y + 23. Solve g(r) = 0 for r.
-1, 2/3, 1, 2
Let f(u) = -u - 1. Let i be f(-3). Let b = i - -2. Factor 2*q**2 + 0*q**3 - 6*q**3 + b*q**3 - 4*q**2.
-2*q**2*(q + 1)
Let g = 199/55 + -31/495. Suppose 8/9*f**2 - 4/9*f**3 + 16/9*f - g = 0. Calculate f.
-2, 2
Suppose 6*a = 9*a + 9. Let l be (-3)/2 + (12/(-2))/a. Factor 0 - 1/2*z**4 - l*z - 3/2*z**2 - 3/2*z**3.
-z*(z + 1)**3/2
Let t(o) = 5*o**3 - 13*o**2 + 9*o - 1. Let z(b) be the first derivative of -4 + b - 1/3*b**3 + 0*b**2. Let s(i) = 2*t(i) - 2*z(i). Factor s(r).
2*(r - 1)**2*(5*r - 2)
Let h = 195 + -175. Factor -x + 0*x**3 + 3*x**4 - 7*x + h*x**2 - 16*x**3 + x**4.
4*x*(x - 2)*(x - 1)**2
Let m(d) = 156*d + 4. Let g be m(4). Determine x, given that -9*x**3 + 623*x**2 + 1 - 5*x + 40*x**4 + 34*x**3 + 16*x**5 - g*x**2 = 0.
-1, 1/4
Let d(k) be the third derivative of 3/32*k**6 + 0*k**3 - 13/280*k**7 + 1/112*k**8 - 7/80*k**5 + 1/32*k**4 + 0 - 2*k**2 + 0*k. Suppose d(j) = 0. What is j?
0, 1/4, 1
Factor 0 - 80/9*z**2 - 800/9*z - 2/9*z**3.
-2*z*(z + 20)**2/9
Let c(a) be the second derivative of -a**5/100 + a**4/60 + 3*a**3/10 - 9*a**2/10 + 28*a - 2. Factor c(y).
-(y - 3)*(y - 1)*(y + 3)/5
Let g(z) be the second derivative of z**6/2160 - z**3/6 - 16*z. Let n(x) be the second derivative of g(x). Factor n(p).
p**2/6
Let p be (-12)/(-66) + 119/11. Suppose -5*m + 26 - p = 0. Factor -h**m + 1/3*h**2 - 1/3*h**5 + 0 + h**4 + 0*h.
-h**2*(h - 1)**3/3
Let h(n) be the first derivative of -3*n**5/2 + 3*n**4 + 2*n**3 + 60. Factor h(o).
-3*o**2*(o - 2)*(5*o + 2)/2
Suppose 6*x + 15*x - 42 - 21 = 0. Solve -3/2*s + 1/3 - 2*s**4 + 5/3*s**2 + 2/3*s**5 + 5/6*s**x = 0 for s.
-1, 1/2, 1, 2
Let w(i) = 3*i + 10. Let c be w(6). Suppose y = -4*j + 4*y + c, y + 4 = 0. Factor 0*v**5 - j*v**2 + 5*v**5 + v**4 + 3*v**4 - v**5 - 4*v**3.
4*v**2*(v - 1)*(v + 1)**2
Let m(p) be the third derivative of -p**11/66528 + p**9/4032 - p**8/2016 - p**5/60 - 3*p**2. Let o(t) be the third derivative of m(t). Factor o(x).
-5*x**2*(x - 1)**2*(x + 2)
Let o(t) = 10*t**4 - 46*t**3 + 62*t**2 - 22*t. Let n(p) = -32*p**4 + 138*p**3 - 185*p**2 + 65*p. Let j(h) = -2*n(h) - 7*o(h). Solve j(a) = 0 for a.
0, 2/3, 1, 6
Let z(m) = 2*m + 0*m - 2*m + 29*m**2 + 9 - 4*m**3. Let v(q) = q**3 - 7*q**2 - 2. Let l(k) = 18*v(k) + 4*z(k). Solve l(x) = 0 for x.
0, 5
Suppose -4*h + 7*h = 33. Suppose -c = c - 5*b - h, 3*b + 15 = 4*c. Factor 1 - 3*n - 3 + 3*n**2 + 0 + 3*n**c - 1.
3*(n - 1)*(n + 1)**2
Let k(c) = 5*c**2 + 5*c - 6. Suppose -9*x + 6 = -12*x. Let g be 0/(-1) - 1 - x. Let d(w) = -w**2 - w + 1. Let j(z) = g*k(z) + 6*d(z). Factor j(n).
-n*(n + 1)
Determine s, given that -10/3 + 20/3*s**2 - 30*s**3 + 15*s**5 - 10/3*s**4 + 15*s = 0.
-1, 2/9, 1
Factor 14*g - 16/7 - 156/7*g**2 + 18/7*g**3.
2*(g - 8)*(3*g - 1)**2/7
Let y be (-1)/(-6) + (-45)/432. Let w(a) be the third derivative of 0*a**3 - 3/80*a**5 + 1/160*a**6 + 3*a**2 + 0*a + 0 + y*a**4. Let w(d) = 0. What is d?
0, 1, 2
Suppose 4*j + 12 = -5*b + 14, 2 = -b. Let l be (((-9)/j)/(-30))/((-27)/(-45)). Let 1/6*x + 1/3*x**2 - 1/3 - l*x**3 = 0. What is x?
-1, 1, 2
Let p(z) be the second derivative of 10800*z**4 + 120*z**3 + z**2/2 + 833*z. Factor p(s).
(360*s + 1)**2
Suppose 3*l - 68 = -47. Suppose 2*b - 8 = -m + 3, -3*m = -4*b + l. Find z, given that -86/3*z**3 - 14/3*z**5 + 0 + 16*z**2 + 20*z**b - 8/3*z = 0.
0, 2/7, 1, 2
Let l = 152 + -122. Factor -30*b**2 - 344*b**4 + 339*b**4 - 30*b + 10*b**2 + l*b**3 + 25.
-5*(b - 5)*(b - 1)**2*(b + 1)
Let d(c) be the second derivative of -c + 3/130*c**5 + 0 + 5/39*c**3 + 7/78*c**4 + 1/13*c**2. Factor d(o).
2*(o + 1)**2*(3*o + 1)/13
Let n = -45 - -52. Let z be 2/(53/14 - 2/n). Factor z*o**2 - 6/7*o**3 + 2/7*o**4 + 0*o + 0.
2*o**2*(o - 2)*(o - 1)/7
Let a(q) be the first derivative of -2*q**3/51 + 18*q/17 + 82. Find j such that a(j) = 0.
-3, 3
Let 0*i + 0 - 1/7*i**5 - 9/7*i**4 - 27/7*i**2 - 27/7*i**3 = 0. What is i?
-3, 0
Let g(d) = -9*d**5 + 30*d**4 - 69*d**3 + 42*d**2 + 66*d - 72. Let i(a) = a**5 - a**4 + a**3 - a. Let x(j) = g(j) + 6*i(j). Factor x(m).
-3*(m - 3)*(m - 2)**3*(m + 1)
What is u in -2/21*u**4 + 0 + 2/21*u**2 + 2/21*u - 2/21*u**3 = 0?
-1, 0, 1
Let f be (-2)/(-4)*(-5)/(-30)*0. Let n(c) be the third derivative of 0*c - 1/30*c**5 - 1/4*c**4 + f - 3*c**2 - 2/3*c**3. Factor n(y).
-2*(y + 1)*(y + 2)
Suppose 2*w - 5*q - 588 = 0, -w = -2*w + 5*q + 304. Let d = 284 - w. Factor 8/11*a + d*a**2 - 6/11*a**3 - 2/11*a**4 + 0.
-2*a*(a - 1)*(a + 2)**2/11
Let w(h) be the first derivative of 46 + 11*h**5 + 0*h + 25/6*h**6 + 0*h**2 + 5/3*h**3 + 35/4*h**4. Factor w(p).
5*p**2*(p + 1)**2*(5*p + 1)
Let h(d) = d**5 - d**4 - 2*d. Let n(y) = 2*y**5 - 20*y**4 + 95*y**3 - 5*y**2 - 398*y + 324. Let b(q) = -3*h(q) + 3*n(q). Suppose b(f) = 0. What is f?
-2, 1, 2, 9
Let o be -4*((-92)/(-322))/(8/(-14)). Let 32/3 + 16/3*p + 2/3*p**o = 0. Calculate p.
-4
Let x(h) be the first derivative of -3*h**5/10 + 99*h**4/4 - 1021*h**3/2 - 1683*h**2 - 1734*h - 244. Solve x(d) = 0.
-1, 34
Determine t so that 92*t**3 + 132*t**3 - 224*t - 255*t**4 + 139*t**4 + 138*t**4 - 40 + 18*t**2 = 0.
-10, -1, -2/11, 1
Let c(j) be the second derivative of -j**5/10 - 15*j**4/2 - 29*j**3 - 43*j**2 - 5*j + 2. Factor c(h).
-2*(h + 1)**2*(h + 43)
Let b(n) be the first derivative of 2*n**3 - 3*n**2 + 9*n - 8. Let a(k) = k**2 + k + 1. Let v(c) = 3*a(c) - b(c). Factor v(x).
-3*(x - 2)*(x - 1)
Let n be 0*(-3)/12*-1. Factor 3/2*x**4 + n + 3*x - 3*x**3 - 3/2*x**2.
3*x*(x - 2)*(x - 1)*(x + 1)/2
Find u such that 6*u**3 - 18*u**3 + 2*u**4 + 884*u**2 + 1600 - 2100*u + 124*u**3 + u**4 - 940*u = 0.
-20, 2/3, 2
Let t(d) be the third derivative of -d**6/48 - 11*d**5/48 - 5*d**4/24 + 25*d**3/24 - 23*d**2 - d. Solve t(n) = 0.
-5, -1, 1/2
Let l(h) be the third derivative of h**7/42 + 7*h**6/12 + 3*h**5/4 - 35*h**4/3 - 130*h**3/3 - 83*h**2. Solve l(f) = 0 for f.
-13, -2, -1, 2
Let y be (-22)/(-12) - (-1)/6. Suppose -y*m + 3 + 1 = 0. Let 3*t**2 + 12*t**3 - 2*t - 7*t**4 - 2*t**m - t**2 - 3*t**2 = 0. Calculate t.
-2/7, 0, 1
Let q = -3418/9 - -380. Solve -q*k + 2/9*k**3 - 2/9*k**2 + 2/9 = 0 for k.
-1, 1
Let g be 27/12 - 6/(-8). Let n(f) be the third derivative of 0*f - 1/3*f**g - 4*f**2 + 0 - 1/60*f**5 - 1/8*f**4. Let n(u) = 0. What is u?
-2, -1
Let p(u) = -u - 16. Let w be p(-12). Let q be 6*w/(-9)*12. Factor -11*s**3 - 5 - 1 + 2*s**3 - q*s**2 + 8*s**2 - 21*s.
-3*(s + 1)**2*(3*s + 2)
Let f(y) be the second derivative of -y**8/16800 + y**6/600 + y**5/150 - y**4/6 - y. Let q(r) be the third derivative of f(r). Determine x so that q(x) = 0.
-1, 2
Suppose 4*b - 21 = -13. Factor 11