 Factor j(x).
-x**2*(x - 3)*(x + 1)**2/3
Let f(s) = -3*s + 353*s**3 + 4*s**2 - s**2 - 1 - 352*s**3. Let g be f(-3). Find z, given that -56*z**3 - g + 72*z + 343/2*z**5 - 172*z**2 + 735/2*z**4 = 0.
-2, -1, 2/7
Let i(g) be the third derivative of -9*g**2 - 23/48*g**4 + 0 - 7/120*g**5 + 0*g - 1/2*g**3. Determine y, given that i(y) = 0.
-3, -2/7
Let o(u) be the first derivative of 0*u - 1 + 243/25*u**5 - 4*u**3 - 27/10*u**4 - 4/5*u**2. Suppose o(w) = 0. What is w?
-2/9, 0, 2/3
Let a(v) be the second derivative of v**8/1680 + 2*v**7/315 + v**6/180 - v**5/5 + v**4/3 + 41*v. Let g(d) be the third derivative of a(d). Solve g(w) = 0 for w.
-3, -2, 1
Factor 1 - 2*h - 1580*h**2 + 791*h**2 + 2 + 788*h**2.
-(h - 1)*(h + 3)
Suppose 8*c - 55 - 9 = 0. Suppose -188*y = -190*y + c. Factor 0 + 1/2*d**2 + 0*d - d**3 + 1/2*d**y.
d**2*(d - 1)**2/2
Let i(t) be the third derivative of t**5/120 + t**4/8 - 40*t**3/3 - 9*t**2 + 37. Determine b so that i(b) = 0.
-16, 10
Let h = 3092/39 - -41/39. Factor 64/3 + 1/3*f**5 + 115/3*f**3 + 208/3*f + h*f**2 + 19/3*f**4.
(f + 1)**3*(f + 8)**2/3
Let d(b) = -2*b**2 - b. Let p(q) = 15*q**2 - 8. Let z(t) = -14*d(t) - 2*p(t). Factor z(i).
-2*(i - 8)*(i + 1)
Suppose 0 = -2*a + 5 + 7. Suppose v + 3*b - 18 = 0, -a*v + b = -v - 74. Suppose 7*j**3 + v*j**2 + 4*j - 23*j**2 - 19*j**3 = 0. Calculate j.
-1, 0, 1/3
Let b be 48/(-10)*(-40)/12. Suppose 4*u + 4*s - 8 = 0, -3*s + 5*s = 4*u - 14. Factor 2*a**4 + 14 + a - 4*a**u - b + 3*a.
2*(a - 1)**3*(a + 1)
Suppose -27/2*c + 3/2*c**3 - 9/2*c**2 - 15/2 = 0. Calculate c.
-1, 5
Let z be (-415)/20 + 2/(-8). Let r be (-3)/(-9) - (z/9)/7. Let 2 + r*w**2 + 8/3*w = 0. What is w?
-3, -1
Let b(s) be the third derivative of s**7/315 - 7*s**6/90 + 7*s**5/30 + s**4 - 18*s**2. Factor b(w).
2*w*(w - 12)*(w - 3)*(w + 1)/3
Let j(o) be the first derivative of 5/4*o**4 + 0*o + 20/3*o**3 + 16 + 15/2*o**2. Factor j(q).
5*q*(q + 1)*(q + 3)
Let h(p) = 6*p**2 - 7*p + 33. Let l be h(7). Solve l*t + t**2 - 278*t = 0.
0
Let j = -87 - -91. Let 28*i**2 + 20 - 18*i**3 + j*i**3 + 10*i**3 - 44*i = 0. Calculate i.
1, 5
Factor -2*r**4 + 85*r + 5*r**2 - 12*r**3 - 21*r - 4*r**2 - r**2.
-2*r*(r - 2)*(r + 4)**2
Factor -3 + 2*b**4 + 2625*b**2 - 2631*b**2 - 1 - 2*b**3 + 10*b.
2*(b - 1)**3*(b + 2)
Let g(p) be the third derivative of 0*p**5 + 0 - 3/16*p**4 + 0*p - 1/2*p**3 + 1/80*p**6 - 20*p**2. Solve g(l) = 0.
-1, 2
Suppose 8*b = 6*b. Let v(h) be the first derivative of 1 + b*h - 1/3*h**3 - 1/2*h**2. Find q such that v(q) = 0.
-1, 0
Let d(s) be the second derivative of s**7/84 + s**6/15 - 11*s**5/40 + s**4/4 + 376*s. Factor d(p).
p**2*(p - 1)**2*(p + 6)/2
Let w(g) = 35*g**3 + 1965*g**2 - 2020*g - 40. Let p(f) = -12*f**3 - 655*f**2 + 674*f + 14. Let i(h) = 20*p(h) + 7*w(h). Factor i(k).
5*k*(k - 1)*(k + 132)
Let k(i) = -2*i**2 + i + 2. Let z(g) = 12*g**2 + 575*g + 42040. Let s(r) = 5*k(r) + z(r). Suppose s(y) = 0. Calculate y.
-145
Let v(l) be the third derivative of l**5/60 + l**4/6 + l**3/3 - 3*l**2. Let s be v(-6). What is t in -t**2 + 16*t**4 - 3*t**2 + 2 - s*t**4 = 0?
-1, 1
Let j be (-3 - (-75 + 2))/1. Factor -8*g + 58 + 3*g - 2*g**2 - 5*g - j.
-2*(g + 2)*(g + 3)
Let m(r) be the first derivative of -1/16*r**6 + 0*r**3 + 3/16*r**4 + 0*r - 10 + 0*r**5 - 3/16*r**2. Factor m(y).
-3*y*(y - 1)**2*(y + 1)**2/8
Let h(w) be the second derivative of 2*w**7/105 + w**6/15 + w**5/15 - 15*w**2 - 4*w. Let m(q) be the first derivative of h(q). Determine u, given that m(u) = 0.
-1, 0
Let b(s) = -18*s**4 - 76*s**3 - 50*s**2 + 62*s - 12. Let n(k) = k**3. Let t(u) = 2*b(u) - 4*n(u). Let t(l) = 0. Calculate l.
-3, -2, 1/3
Factor -57313*i + 4*i**2 - 20 - 112 + 57185*i.
4*(i - 33)*(i + 1)
Let o(p) be the second derivative of -p**5/120 - p**4/6 + 13*p**3/36 + 114*p. Factor o(t).
-t*(t - 1)*(t + 13)/6
Suppose -5*u + 5*c = -4*u - 14, 2*u - 4*c - 16 = 0. Let h = 2014 + -2011. Factor w**u - 5*w**h - 4*w**3 + w**2 + 7*w**3.
w**2*(w - 1)**2
Let b(z) = -2*z + 4. Let d be b(1). Factor 22*k**2 - 14*k**d - 5*k**2 + 3 + 6*k.
3*(k + 1)**2
Solve 2 - r**3 - 23/3*r + 16/3*r**2 = 0 for r.
1/3, 2, 3
Let g(u) be the second derivative of u**4/18 - 2*u**3/9 + 351*u. Factor g(f).
2*f*(f - 2)/3
Let z(f) be the third derivative of f**5/150 - f**4/15 - 4*f**3/5 - 50*f**2 + 2. Suppose z(x) = 0. Calculate x.
-2, 6
Let g = 2/435645 - -1131805684/5663385. Let o = 200 - g. Suppose 0 - 2/13*q**2 + o*q = 0. What is q?
0, 1
Find x, given that 4/3*x**2 + 0 + 8*x = 0.
-6, 0
Let s(v) be the first derivative of 0*v**2 - 20 + 1/2*v**4 + 0*v + 1/5*v**5 - v**3. Factor s(u).
u**2*(u - 1)*(u + 3)
Let f(h) be the third derivative of h**5/20 + h**4 + 6*h**3 + 2*h**2 - 3*h. Let f(y) = 0. What is y?
-6, -2
What is y in 0 - 5/4*y**3 - y**2 + 5*y + 1/4*y**4 = 0?
-2, 0, 2, 5
Let t(u) be the second derivative of 0 + 10*u - 3/8*u**2 - 3/8*u**3 - 3/16*u**4 - 3/80*u**5. Factor t(n).
-3*(n + 1)**3/4
Factor -23*b + 22 - 18 - 10 + b**2 + 3*b**2.
(b - 6)*(4*b + 1)
Let h(r) = 18*r**3 - 43*r**2 - 49*r + 15. Let g(o) = 162*o**3 - 386*o**2 - 440*o + 134. Let b(k) = 6*g(k) - 52*h(k). Factor b(c).
4*(c - 3)*(c + 1)*(9*c - 2)
Let q = 24 - 12. Factor q*h**2 + 17*h + 10*h**3 - 21*h + 6*h**3.
4*h*(h + 1)*(4*h - 1)
Let m be (-2)/90*6/(-8). Let j(p) be the third derivative of 0*p**3 - 1/48*p**4 + 1/80*p**5 + 0 + 1/280*p**7 + m*p**6 + 0*p + 4*p**2. Let j(y) = 0. What is y?
-2, -1, 0, 1/3
Let d be ((-4 - -2)/(-6))/(10/(-90)). Let o be (4/(-25))/(d*(-10)/(-75)). Let 0*z + 0 + 4/5*z**2 - o*z**3 = 0. Calculate z.
0, 2
Let g(f) be the second derivative of 0 + 2*f + 1/40*f**5 + 1/12*f**3 + 0*f**2 - 1/12*f**4. Factor g(w).
w*(w - 1)**2/2
Let g(o) be the second derivative of o**4/84 - 23*o**3/42 + 32*o. Factor g(r).
r*(r - 23)/7
Let p(u) = -10*u**2 - 37*u - 14. Let i(a) = 7*a**2 + 25*a + 10. Let o(q) = 7*i(q) + 5*p(q). What is j in o(j) = 0?
-10, 0
Let s(r) be the first derivative of 2*r**7/105 - r**5/15 - 11*r**2 + 14. Let o(x) be the second derivative of s(x). Find j such that o(j) = 0.
-1, 0, 1
Let t be (-1)/(3/9*3). Let z be 70/(-65)*(-2 - t/1). Find n, given that 4/13*n + 6/13*n**3 + 14/13*n**2 + 0 - z*n**4 - 10/13*n**5 = 0.
-1, -2/5, 0, 1
Suppose 6*n**5 + 5*n**4 - 17 + 17 - n**5 - 20*n**4 = 0. Calculate n.
0, 3
Let s(x) be the first derivative of x**5/30 - 5*x**4/6 - 23*x**3/18 + 7*x**2/2 + 305. Factor s(y).
y*(y - 21)*(y - 1)*(y + 2)/6
Let n(p) = p**2 + p + 1. Let u(i) = -9*i**2 + 75*i - 81. Let d(r) = -5*n(r) - u(r). Factor d(m).
4*(m - 19)*(m - 1)
Suppose 0 = 4*o - a, -657*o + a = -660*o + 14. Factor -2/7*d - 1/7 - 1/7*d**o.
-(d + 1)**2/7
Let t(q) = -10*q**2 - 150*q - 65. Let v(g) be the third derivative of g**5/60 - g**3/6 - 12*g**2. Let j(n) = t(n) - 25*v(n). Factor j(w).
-5*(w + 4)*(7*w + 2)
Let g = -17 - -26. Let -g - 3*o - 9*o**2 + 18*o**2 + 7*o**3 - 4*o**3 = 0. Calculate o.
-3, -1, 1
Let x(z) = 20*z**2 - 40*z + 45. Let k(d) = 5*d**2 - 10*d + 11. Suppose 2*g + 9 = 59. Let j(b) = g*k(b) - 6*x(b). Factor j(h).
5*(h - 1)**2
Let l(j) = -8*j**5 - 10*j**4 + 5*j**3 + 7*j**2 - 4*j. Let k(q) = 34*q**5 + 41*q**4 - 21*q**3 - 29*q**2 + 17*q. Let c(w) = -2*k(w) - 9*l(w). Factor c(n).
n*(n + 1)*(n + 2)*(2*n - 1)**2
Suppose 0 = -4*c - 5*s + 18, 3*c - 2*s + 676 = 678. Factor -3/4*w**c + w**4 - 5/4*w + 5/4*w**3 - 1/4.
(w - 1)*(w + 1)**2*(4*w + 1)/4
Let m(y) be the second derivative of -y**5/25 + 2*y**4/15 + 64*y**3/15 - 192*y**2/5 + 68*y - 3. Factor m(h).
-4*(h - 4)**2*(h + 6)/5
Find m, given that -2/5*m**2 + 308/5 - 6/5*m = 0.
-14, 11
Let c(p) be the second derivative of 11*p**4/12 - 19*p**3/2 + 5*p**2 + 19*p + 2. Factor c(t).
(t - 5)*(11*t - 2)
Suppose -2*t - 4*p + 20 = 0, -3*t + 37 = -5*p + 62. Let r = 272/5 - 54. Factor 0 + r*j**3 + t*j + 0*j**2.
2*j**3/5
Let i(n) be the first derivative of -n**6/630 + n**5/420 + n**4/14 - 12*n**3 - 29. Let t(g) be the third derivative of i(g). Factor t(d).
-2*(d - 2)*(2*d + 3)/7
Suppose -17*y = -7*y - 70 + 50. Suppose -6/7*b**3 + 82/7*b**y - 14 - 38*b = 0. What is b?
-1/3, 7
Find w, given that 5/2*w**2 + 5/4*w**3 - 475/4*w + 375 = 0.
-12, 5
Let l(n) = -17*n**2 - 8*n + 7. Let c(m) = 3*m**2 + m - 1. Let g(u) = 6*c(u) + l(u). Let g(s) = 0. Calculate s.
1
Let x(f) be the second derivative of f**8/8400 - f**6/225 + 13*f**4/4 - 3*f. Let m(c) be the third derivative of x(c). Solve m(o) = 0 for o.
-2