. Factor i(n).
3*n*(n - 1)**2*(n + 1)/5
Let s(w) = 2*w**2 + 3*w + 3. Let t(x) = -4*x**2 - 7*x - 5. Let g(u) = -5*s(u) - 3*t(u). Factor g(m).
2*m*(m + 3)
Let c(k) be the third derivative of 5*k**8/112 + 4*k**7/21 - 5*k**6/24 - 5*k**5/2 - 35*k**4/6 - 20*k**3/3 - k**2 + k. Find t such that c(t) = 0.
-2, -1, -2/3, 2
Suppose -3*i - b = -28, 8*b + 10 = 3*b. Solve -4*y - y**3 - 3*y**3 - 4*y**3 + 2*y**4 + i*y**2 = 0.
0, 1, 2
Let h be (-2 + -3)*(-7)/5. Suppose -q + h = 5. Factor 2*l**q + 10/3*l - 4/3.
2*(l + 2)*(3*l - 1)/3
Let f(s) = s**2 + s + 4. Let u be f(0). Suppose -r = -3, 3*p = -p + 3*r - 1. Solve -2*d**2 - 3*d**2 - p + 3*d + u*d = 0.
2/5, 1
Let h(b) be the second derivative of -b**6/720 - b**5/120 - b**4/48 + b**3/6 + 2*b. Let q(d) be the second derivative of h(d). Let q(u) = 0. Calculate u.
-1
Let u(j) be the first derivative of -j**3 - 9*j**2/2 - 2. Factor u(h).
-3*h*(h + 3)
Let m = -1/12 + 7/12. Factor -m*w**4 + 0*w**2 + w**3 + 0 + 0*w.
-w**3*(w - 2)/2
Determine k, given that 7*k + 13/2*k**2 + 2*k**3 + 5/2 = 0.
-5/4, -1
Let w = -6 + 20. Let i(h) = 2*h**2 + 9*h. Let a(s) = s**2 + 4*s. Let l(g) = w*a(g) - 6*i(g). Let l(f) = 0. What is f?
-1, 0
Let f(t) = 2*t**2 - 7*t + 1. Let u be f(5). Let s be ((-6)/(-8))/(24/u). Determine n, given that s + n + 1/2*n**2 = 0.
-1
Let i(y) be the second derivative of y**6/120 - y**5/80 - y**4/24 - 4*y. Factor i(t).
t**2*(t - 2)*(t + 1)/4
Let d(n) be the first derivative of -1 - 1/3*n**3 - n - n**2. Determine h so that d(h) = 0.
-1
Suppose -2*s + c = -23, -2*s + 0 = 2*c - 38. Let l = s - 11. Solve -1/2 - d**2 + 5/4*d + 1/4*d**l = 0 for d.
1, 2
Let i(m) = -7*m**2 - 9*m - 7. Let a(b) = b**2 - 1. Let w(y) = 2*y**2 - 5*y - 10. Let g(u) = -6*a(u) + w(u). Let o(k) = 5*g(k) - 3*i(k). Factor o(h).
(h + 1)**2
Let y(q) = q**3 - 2*q - q + 8*q + 6 - 3*q**2 - 2*q**3. Let w be y(-4). Suppose 6*f**4 + 7*f**4 + 3*f**3 - 7*f**4 - 3*f**w = 0. Calculate f.
-1, 0, 1/2
Factor -14/15*l - 2/15*l**2 + 0.
-2*l*(l + 7)/15
Let v be (-4)/(-4) + 179/(-180). Let k(s) be the third derivative of 2*s**2 + v*s**6 + 0*s - 1/9*s**3 + 1/90*s**5 + 0 - 1/36*s**4. Let k(h) = 0. What is h?
-1, 1
What is p in -2/5*p**2 - 2/5 - 4/5*p = 0?
-1
Let q = 12 - -2. Let m = -10 + q. Factor 0*a + a**2 + 6*a + m + a**2.
2*(a + 1)*(a + 2)
Let z(d) be the first derivative of 5/12*d**4 - 2/3*d**2 + 0*d - 8/9*d**3 + 3. Factor z(v).
v*(v - 2)*(5*v + 2)/3
Let -8/3*h**3 + 0*h - 8/3*h**4 + 0 + 0*h**2 - 2/3*h**5 = 0. What is h?
-2, 0
Let j = 19 - 17. Let a(t) be the third derivative of -1/12*t**4 + 1/60*t**6 - 2/21*t**3 + 0 + 0*t + 1/105*t**5 + j*t**2. Factor a(u).
2*(u - 1)*(u + 1)*(7*u + 2)/7
Let n(z) be the first derivative of -8/5*z**5 + 1/3*z**6 + 1/2*z**4 - 4*z**2 + 20/3*z**3 - 16*z + 1. Factor n(g).
2*(g - 2)**3*(g + 1)**2
Let i(q) be the first derivative of -3/8*q**4 + 1/2*q**3 + 1/10*q**5 - 6 - 1/4*q**2 + 0*q. Factor i(u).
u*(u - 1)**3/2
Let 2*b**3 + 0 - b - 2*b + b + 2 - 2*b**2 = 0. Calculate b.
-1, 1
Factor 1/2*m**3 - 1/2*m + 1/4*m**4 - 1/4 + 0*m**2.
(m - 1)*(m + 1)**3/4
Let a(q) be the second derivative of q**3 - 4*q + 1/6*q**4 + 0 + 2*q**2. Find g, given that a(g) = 0.
-2, -1
Let h be (2/6)/(18/12 - 0). Let x(v) be the first derivative of -1/18*v**4 - 1/3*v**2 + 2/9*v + h*v**3 + 2. Factor x(n).
-2*(n - 1)**3/9
Suppose 3*o**3 - 17*o**2 - 17*o**2 - o**4 + 32*o**2 = 0. What is o?
0, 1, 2
Suppose 2*q + 2*q - 68 = 0. Factor -q - 3*w + 0*w**2 + w**2 + 19.
(w - 2)*(w - 1)
Let k(g) be the first derivative of g**8/1512 + g**7/315 + g**6/270 - 2*g**2 + 3. Let b(s) be the second derivative of k(s). Factor b(v).
2*v**3*(v + 1)*(v + 2)/9
Let y(w) = -9*w**5 - 14*w**4 - 13*w**3 - 2*w - 2. Let z(l) = -28*l**5 - 41*l**4 - 40*l**3 + l**2 - 7*l - 7. Let f(r) = 7*y(r) - 2*z(r). What is u in f(u) = 0?
-1, -2/7, 0
Let q(d) be the first derivative of 3/8*d**2 + 1 - 3/16*d**4 + 1/12*d**3 + 1/4*d - 1/10*d**5. What is n in q(n) = 0?
-1, -1/2, 1
Let a(i) = 5*i**5 - 5*i**4 + 12*i**3 - 5*i**2 - i. Let m(v) = -14*v**5 + 16*v**4 - 36*v**3 + 16*v**2 + 2*v. Let n(t) = 8*a(t) + 3*m(t). Factor n(h).
-2*h*(h - 1)**4
Let x = -163 + 103. Let p be 2/4*x/(-40). Determine n, given that 0*n + p*n**4 + 0*n**2 + 3/2*n**3 + 0 = 0.
-2, 0
Let g be 7 - (0 + 1 - -4). Let 2/5*z - 1/5*z**g - 1/5 = 0. What is z?
1
Let i(d) be the second derivative of 5*d**4/12 + 55*d**3/6 + 25*d**2 + 2*d - 7. Factor i(t).
5*(t + 1)*(t + 10)
Let b(l) be the first derivative of l**3/15 - l**2/10 - 2*l/5 + 8. What is c in b(c) = 0?
-1, 2
Factor 1/5*c**2 + 6/5*c + 9/5.
(c + 3)**2/5
Let j(f) be the first derivative of -1/8*f**2 - 6 - 1/12*f**3 + 1/2*f. Factor j(w).
-(w - 1)*(w + 2)/4
Find l, given that 2 - 11/3*l**2 - 31/3*l = 0.
-3, 2/11
Let f(r) be the third derivative of r**8/168 + 3*r**7/35 + 23*r**6/60 + 7*r**5/30 - 2*r**4 - 16*r**3/3 - r**2 + 29*r. Let f(s) = 0. What is s?
-4, -1, 1
What is t in 57/8*t**3 - 21/8*t**4 - 75/8*t**2 + 6*t + 3/8*t**5 - 3/2 = 0?
1, 2
Let q be 3*((-2)/3 + 0). Let m = q - -5/2. Determine d so that 0 + 1/2*d**2 + m*d = 0.
-1, 0
Let z be 8/(-4) - 202/(-100). Let c(r) be the second derivative of 0*r**2 + 0 + 1/15*r**3 + r + 0*r**4 - z*r**5. Suppose c(h) = 0. Calculate h.
-1, 0, 1
Let v(u) be the second derivative of 2*u**6/15 - u**5/3 + u**4/9 + 2*u**3/9 + u - 10. Let v(w) = 0. Calculate w.
-1/3, 0, 1
Let v be 1 + (-30)/(-12) + -3. What is b in 0*b + 0 + b**3 + 0*b**2 + v*b**5 + 3/2*b**4 = 0?
-2, -1, 0
Let g(r) be the first derivative of -r**6/15 - 8*r**5/25 - 3*r**4/5 - 8*r**3/15 - r**2/5 - 38. Factor g(m).
-2*m*(m + 1)**4/5
Let c(b) be the first derivative of -b**7/1680 - b**6/720 + b**5/120 + b**3/3 + 8. Let h(l) be the third derivative of c(l). Factor h(o).
-o*(o - 1)*(o + 2)/2
Let l(a) be the third derivative of 1/504*a**8 + 0*a**4 + 0*a**3 + 0*a - 1/180*a**6 + 2*a**2 + 0 + 0*a**5 + 0*a**7. Factor l(y).
2*y**3*(y - 1)*(y + 1)/3
Determine q, given that -4/3*q - 8/3*q**3 + 2/3*q**4 + 0 + 10/3*q**2 = 0.
0, 1, 2
Let w = 76/3 - 25. Suppose -65*z = -64*z - 2. Factor 0 - w*v**z + 1/3*v.
-v*(v - 1)/3
Suppose -2*d - 3*c = -8, -4*d - 5 = -5*c - 21. Suppose -5*n + 2*r = -10, -d*n - 3*r + 8 = -0*r. What is f in 7*f - 5*f + 1 + 0*f + f**n = 0?
-1
Factor -4/5*j - 1/5*j**2 - 4/5.
-(j + 2)**2/5
Let p(u) = -3*u**3 - u**2 - 5*u + 8. Let w(v) = v**3 + v**2 + 2*v - 4. Let t(h) = -2*p(h) - 5*w(h). Factor t(a).
(a - 2)**2*(a + 1)
Let v(k) be the second derivative of -1/3*k**4 - 2*k + 4/3*k**3 + 0 + 8*k**2 - 1/10*k**5. Determine g, given that v(g) = 0.
-2, 2
Let a = 10152/11 - 1827283/1980. Let w(q) be the third derivative of q**2 + a*q**5 + 0*q + 0 + 1/18*q**3 - 1/120*q**6 - 5/72*q**4. Factor w(h).
-(h - 1)**2*(3*h - 1)/3
Let a(o) be the first derivative of 2*o**3/21 - 2*o/7 + 7. Suppose a(m) = 0. What is m?
-1, 1
Let m be 21/27 + 1/(-3). Let i be (4/30)/((-2)/(-10)). Factor -2/9*b**5 + i*b**4 - 2/9 + 2/3*b - 4/9*b**3 - m*b**2.
-2*(b - 1)**4*(b + 1)/9
Let u(c) = 6*c**2 + 43*c + 47. Let v(n) be the second derivative of -n**4/6 - 7*n**3/3 - 8*n**2 - 2*n. Let d(m) = 2*u(m) + 7*v(m). Factor d(y).
-2*(y + 3)**2
Let c be 5943/(-182) - 2/(-13). Let u = c + 34. What is y in -u + 3*y**2 + 0*y + 0*y**3 - 3/2*y**4 = 0?
-1, 1
Let c(v) = v**3 + 10*v**2 + 8*v - 4. Let m be c(-9). Let 0*r**3 + m*r**2 + 0*r**3 + 4 + r**3 + 8*r = 0. What is r?
-2, -1
Suppose -2*c = 2*c. Suppose -l + 2 + 2 = c. Factor t**3 + 0*t**3 - t**4 + 2*t**l.
t**3*(t + 1)
Let j = -2 - -3. Suppose r**4 - 11*r**2 - 3*r**3 + 3*r**3 + j + 9*r**2 = 0. Calculate r.
-1, 1
Let u(i) = 10*i**3 - 4*i**2 + 32*i - 16. Let g(h) = h**3 + h**2 + h. Let q(v) = 8*g(v) - u(v). Factor q(n).
-2*(n - 2)**3
Find m, given that 2/5*m**2 + 8/5 - 8/5*m = 0.
2
Let f(p) be the first derivative of 5*p**6/24 - p**5/4 + 56. Suppose f(y) = 0. What is y?
0, 1
Determine m so that 6/5*m**3 + 9/5*m**2 - 3/5*m**4 + 12/5 - 24/5*m = 0.
-2, 1, 2
Determine m, given that 54*m**2 + 370 + 278 + 9*m**3 + 324*m - 6*m**3 = 0.
-6
Factor 2*n**3 - 2 + 2*n**2 - 5*n**3 - 2*n + 5*n**3.
2*(n - 1)*(n + 1)**2
Let b(h) be the first derivative of -h**4/8 + h**3/2 - 3*h**2/4 + h/2 + 29. Find l, given that b(l) = 0.
1
Let j(w) = w**2 + 12*w - 4. Let u be j(-14). Let g(r) = -r**3 - r + 1. Let s(y) = 9*y**3 - 4*y**2 + 13*y - 10. Let q(x) = u*g(x) + 3*s(x). Factor q(m).
3*(m - 2)*(m - 1)**2
Factor -48/7*s**3 + 0 - 1/7*s**5 