2 + 144. Factor s(x).
4*x*(x - 1)*(x + 2)*(3*x + 8)
Let l(d) = 6*d**2 + 166*d + 160. Let g(s) = -4*s**2 - 110*s - 106. Let n(u) = -8*g(u) - 5*l(u). Factor n(y).
2*(y + 1)*(y + 24)
Let v(z) = z**3 + 7*z**2 + 5*z - 2. Let l be v(-6). Let y be 5/(-20) - (-49)/l. Determine r so that -y*r**2 + 16 - 18*r**2 + 8*r + r**3 + 23*r**2 = 0.
-1, 4
Let x(i) be the third derivative of -i**6/420 + i**5/105 + 5*i**4/84 - 2*i**3/7 + 2*i**2 - 22*i. Factor x(n).
-2*(n - 3)*(n - 1)*(n + 2)/7
Let t(u) = 23*u**2 - u + 5. Let w be (-3 - -1)/1 + 8. Let h(d) = -w - d + 4 + 4 + 11*d**2. Let x(v) = 5*h(v) - 2*t(v). Factor x(c).
3*c*(3*c - 1)
Let m be (84/(-30) - -4) + (-64)/(-80). Let 3/2*l**3 + 1/4*l**5 + 5/4*l**4 - l**m + 0 - 2*l = 0. What is l?
-2, 0, 1
Let p(v) be the first derivative of -v**4/9 - 128*v**3/27 - 442*v**2/9 + 2312*v/9 - 217. Suppose p(l) = 0. Calculate l.
-17, 2
Let -5735339/4 + 96123/4*y + 1/4*y**3 - 537/4*y**2 = 0. What is y?
179
Let z be -3*7/((-84)/40). Suppose 2*c + 0*c = z. Factor 2*d - 2 + 6 + d + 4*d**2 + c*d.
4*(d + 1)**2
Let h be 5*-1 + (-2358)/21. Let s = -117 - h. Determine b so that -1/7*b + s*b**3 - 2/7*b**2 + 1/7*b**4 - 1/7*b**5 + 1/7 = 0.
-1, 1
Suppose -768 - 156*o**2 - 18*o**3 - 3/4*o**4 - 576*o = 0. Calculate o.
-8, -4
Let o = 62/129 + 8/43. What is k in -2*k**4 - 16/3*k**2 - o - 3*k - 14/3*k**3 - 1/3*k**5 = 0?
-2, -1
Let t(p) be the third derivative of 1/80*p**6 + 0 - 1/16*p**4 + 1/30*p**5 + 0*p - 3/280*p**7 + 1/24*p**3 + 9*p**2. Let t(n) = 0. Calculate n.
-1, 1/3, 1
Suppose b + 2*x - 7*x - 15 = 0, 5*x = -3*b - 15. Suppose 4*m - 59 + 3 = b. Suppose 5*z + m*z**2 - z + 3*z**4 - z - 5*z**2 + 9*z**3 = 0. What is z?
-1, 0
Let w(c) be the first derivative of 2*c**6/9 - 4*c**5/5 - 10*c**4/3 - 8*c**3/9 + 6*c**2 + 20*c/3 + 166. Solve w(h) = 0.
-1, 1, 5
Let u(f) be the first derivative of -25*f**6/12 + 25*f**5/6 - 10*f**4/3 + 4*f**3/3 - 3*f**2 + 19. Let t(n) be the second derivative of u(n). Solve t(l) = 0.
1/5, 2/5
Find s, given that 0 - 3/2*s**2 + 5*s - 1/2*s**3 = 0.
-5, 0, 2
Suppose 42 = 3*d - 0*d. Let z = 17 - d. Factor 2 - 4*c**2 + 5*c + 5*c**2 + 2*c**3 - 4*c**z.
-(c - 2)*(c + 1)*(2*c + 1)
Let x be (-65)/(-15) + (-1)/3*1. Suppose -8 + 16 = x*l. Solve 0 + 4/5*w**3 + 0*w - 2/5*w**l - 2/5*w**4 = 0 for w.
0, 1
Let d be 10*(-36)/(-100)*265/318. Solve 6/5*s + 4/5 - 16/5*s**2 + 6/5*s**d = 0.
-1/3, 1, 2
Let j(u) = -10*u**3 + 11*u**2 + 40*u. Let c(d) = 5*d**3 - 6*d**2 - 20*d. Let x(p) = 11*c(p) + 6*j(p). Factor x(n).
-5*n*(n - 2)*(n + 2)
Let w be -16 + 14/((-448)/(-536)). Factor -3/4*g**2 - w*g + 0.
-3*g*(g + 1)/4
Let m(r) = 70*r + 8*r**2 + 17*r + 358 - 21*r. Let q(x) = -x**2 + 1. Let j(n) = m(n) + 5*q(n). Factor j(z).
3*(z + 11)**2
Let d(b) be the third derivative of b**5/4 - 15*b**4/8 + 2*b**3 + 18*b**2. Let k(u) = -u. Let q(g) = d(g) - 9*k(g). Suppose q(h) = 0. What is h?
2/5, 2
Let i(o) be the second derivative of 3*o + 1/21*o**7 - 25/6*o**4 + 0 - 4*o**2 - 7/15*o**6 + 19/10*o**5 + 16/3*o**3. Find x such that i(x) = 0.
1, 2
Let b = 66 - 112. Let m = b - -324/7. Determine t so that 2/7*t - 4/7*t**3 + 2/7*t**5 + 1/7*t**4 + 1/7 - m*t**2 = 0.
-1, -1/2, 1
Let a(q) be the first derivative of -q**6/3 + 28*q**5/5 - 36*q**4 + 352*q**3/3 - 208*q**2 + 192*q - 162. Determine s, given that a(s) = 0.
2, 6
Let o(j) be the third derivative of -j**5/390 + 17*j**4/26 - 867*j**3/13 + 253*j**2 + 2. Solve o(t) = 0 for t.
51
Suppose -4/9 + 2/9*d**4 - 2/3*d**3 + 2/9*d**2 + 2/3*d = 0. What is d?
-1, 1, 2
Let z(r) be the second derivative of 4*r**2 - 5/12*r**4 + 0 + 1/2*r**3 + 21*r. Determine k so that z(k) = 0.
-1, 8/5
Factor -13*s**3 + 2239 - 2239 + 2*s**5 + 12*s**4 + 68*s**2 - 208*s**2 - 11*s**3 + 150*s.
2*s*(s - 3)*(s - 1)*(s + 5)**2
What is t in -30*t**3 + 989 + 64*t**3 - 37*t**3 + 99*t - 45*t**2 + 1552 = 0?
-11, 7
Let y(p) = -3*p**3 + 34*p**2 + 150*p - 360. Let b(h) = h**3 - 18*h**2 - 75*h + 180. Let w(j) = -7*b(j) - 4*y(j). Factor w(f).
5*(f - 3)**2*(f + 4)
Let x(h) be the second derivative of -15*h**8/112 - h**7/14 + h**6/3 + h**5/3 + 14*h**2 + 7*h - 1. Let w(k) be the first derivative of x(k). Factor w(s).
-5*s**2*(s - 1)*(3*s + 2)**2
Let w(v) be the second derivative of v**6/10 + 4*v**5/15 + 5*v**4/36 - v**3/9 - 2*v - 13. Factor w(x).
x*(x + 1)**2*(9*x - 2)/3
Let w(h) be the first derivative of -1/4*h**4 + 1/5*h**5 + 0*h**2 - 15 + 0*h - 2/3*h**3. Solve w(t) = 0.
-1, 0, 2
Suppose 0 = j - 4 + 2. Factor 2*a**4 - 1098*a + 2 + 1094*a - j - 6*a**2.
2*a*(a - 2)*(a + 1)**2
Let n(s) be the third derivative of s**5/420 - s**4/6 + 14*s**3/3 - 2*s**2 - 10*s. Let n(q) = 0. What is q?
14
Let l be (-5)/(5/(-8)) + -7 + 1. Solve 0 + 6/5*d**3 + 0*d**l + 0*d - 1/5*d**4 = 0.
0, 6
Let g = 4 + 0. Let p be -663 + 673 + (-20)/9. Factor -2/9*n + 0 + 50/9*n**g + 22/9*n**2 - p*n**3.
2*n*(n - 1)*(5*n - 1)**2/9
Let r be (-74)/(-210) + (-6 - 320/(-56)). Let b(i) be the first derivative of 1 + r*i**2 - 2/45*i**3 + 0*i. Determine h, given that b(h) = 0.
0, 1
Suppose 0 = -2*y + 10 - 0. Suppose -3*b + 3 = -2*z, -3*z - y*b + 18 = -2*b. Solve 6*m**3 - 56*m**2 - z*m**4 - 6*m + 3 + 56*m**2 = 0 for m.
-1, 1
Let h = -237 - -243. Let m(u) be the third derivative of -1/210*u**7 + 0*u**3 + 0*u**4 - 1/60*u**h + 0*u - 1/60*u**5 - u**2 + 0. Factor m(i).
-i**2*(i + 1)**2
Let m(p) be the second derivative of 5*p**4/36 + 5*p**3/6 - 10*p**2/3 + 6*p + 14. What is b in m(b) = 0?
-4, 1
Factor -1/4*a**2 + 5/4*a + 6.
-(a - 8)*(a + 3)/4
Determine a, given that -36/7 - 60/7*a - 4*a**2 - 4/7*a**3 = 0.
-3, -1
Let n(r) = -4*r**3 + 16*r**2 + 26*r. Let b(u) = u**3 - u**2 - 2*u + 1. Let s(g) = 6*b(g) + n(g). What is l in s(l) = 0?
-3, -1
Suppose 15*h + 630 = 630. Solve -5/4*w + h + 15/4*w**2 - 5/2*w**3 = 0.
0, 1/2, 1
Let r be (-4)/(-6) + 39/9. Factor -7*b**2 - 3*b**2 + 5*b + r*b**2.
-5*b*(b - 1)
Let w(m) be the second derivative of -m**6/6 - 7*m**5/4 - 55*m**4/12 + 35*m**3/6 + 30*m**2 - 14*m + 1. Solve w(j) = 0.
-4, -3, -1, 1
Let l(f) be the second derivative of f**4/48 + 7*f**3/24 - f**2 - 336*f. Factor l(s).
(s - 1)*(s + 8)/4
Let p(v) be the first derivative of v**4/4 + 14*v**3/3 + 43*v**2/2 + 30*v - 767. Factor p(i).
(i + 1)*(i + 3)*(i + 10)
Let u = 47785 - 47785. What is j in j**5 + u + 19/3*j**3 - 13/3*j**4 - 11/3*j**2 + 2/3*j = 0?
0, 1/3, 1, 2
Find c such that -90*c**3 - 23*c**2 + 46*c**3 - 5*c**4 + c**4 + 40*c - 9*c**2 + 40*c = 0.
-10, -2, 0, 1
Let l(f) = 4*f**3 - 28*f**2 + 54*f - 42. Suppose -16 = -2*n + 3*n - 5*o, -2*o - 14 = 3*n. Let w(v) = -v - 1. Let b(k) = n*w(k) + l(k). Factor b(t).
4*(t - 3)**2*(t - 1)
Let x(t) be the second derivative of t**7/105 - 4*t**6/15 + 39*t**5/25 + 22*t**4/3 + 121*t**3/15 + t - 50. Factor x(g).
2*g*(g - 11)**2*(g + 1)**2/5
Let l(g) be the second derivative of -7*g**7/660 + 7*g**6/180 - 8*g**5/165 + g**4/33 - 22*g**3/3 - 26*g. Let p(w) be the second derivative of l(w). Factor p(i).
-2*(i - 1)*(7*i - 2)**2/11
Let y(r) be the second derivative of -35*r**4/12 - 1145*r**3/6 + 165*r**2 + 401*r. Factor y(k).
-5*(k + 33)*(7*k - 2)
Let h(u) = 17*u**2 + 20*u - 1. Let p(d) = 15*d**2 + 20*d - 2. Let s(m) = -2*h(m) + 3*p(m). Factor s(z).
(z + 2)*(11*z - 2)
Let t = 409/3 - 136. Let 5*j**2 + 7/3*j**3 + t*j**4 + 0 + 3*j = 0. Calculate j.
-3, -1, 0
Determine o, given that 24/5 - 8/5*o - 2/5*o**2 = 0.
-6, 2
Let x = 4374/7 - 4372/7. Factor 8/7 + 12/7*t**2 - 18/7*t - x*t**3.
-2*(t - 4)*(t - 1)**2/7
Let a = -57 + 57. Let t(u) be the third derivative of 0*u - 3*u**2 + 0 + 1/30*u**5 + 0*u**4 + a*u**3. Determine h so that t(h) = 0.
0
Let k = 10559/4 - 2639. Suppose 3/8 - k*c + 3/8*c**2 = 0. Calculate c.
1
Let i(c) be the first derivative of c**3 - 15*c**2/2 - 72*c - 80. Factor i(a).
3*(a - 8)*(a + 3)
Suppose -9*u + 20 = -u + 4. Let 3/4*j - 1/4 + j**u = 0. What is j?
-1, 1/4
Let h = -28 + 32. Suppose n + 10 = 4*q, -6 = h*n + 2. Suppose -2/5*u**4 + 2/5*u**q + 0*u + 0*u**3 + 0 = 0. What is u?
-1, 0, 1
Let o(q) be the first derivative of -q**4/60 + 11*q**3/30 - q**2 + 7*q - 8. Let s(r) be the first derivative of o(r). Factor s(m).
-(m - 10)*(m - 1)/5
Find j such that -16*j**4 - 12*j**5 - 20*j**4 - 8*j**5 + 8*j**5 + 45*j**3 + 150*j**2 = 0.
-5/2, 0, 2
Let -4/5*f**4 - 12/5*f**3 + 0 + 4/5*f**5 + 4/5*f**2 + 8/5*f = 0. What is f?
-1, 0, 1, 2
Factor v**5 + 32*v**3 + 35/3*v**4 + 0*v + 0 - 12*v**2.
v**2*(v + 6)*