= x**3 - 4*x**2 - 3*x. Let v(m) = m**3 - 9*m**2 - 7*m. Let p(i) = -5*h(i) + 2*v(i). Solve p(z) = 0.
-1/3, 0, 1
Factor 9 + 59*a - 123*a + 85*a + 15*a**2 + 3*a**3.
3*(a + 1)**2*(a + 3)
Suppose -3*o - 11 = -n - 29, -4*o + 8 = 4*n. Suppose -o*x + x = -12. Suppose 2/7 - 2/7*t**5 - 10/7*t - 20/7*t**x + 10/7*t**4 + 20/7*t**2 = 0. What is t?
1
Solve 3*u - 2 - 3/2*u**2 + 1/4*u**3 = 0.
2
Factor 20*h**2 + 4*h + 20*h**3 + 12*h**4 - 9*h**3 + 17*h**3.
4*h*(h + 1)**2*(3*h + 1)
Let k be (-2)/(-6) - 112/(-24). Factor -11*h**2 + 2*h + 4*h - k*h + h.
-h*(11*h - 2)
Let g = 317 - 15847/50. Let h(o) be the second derivative of 0*o**2 + g*o**5 + 2*o + 0*o**4 + 0 + 2/75*o**6 - 1/15*o**3. Factor h(a).
2*a*(a + 1)**2*(2*a - 1)/5
Suppose t - 6 = -0. Let o(m) be the second derivative of 1/120*m**t - m + 1/6*m**3 + 0 + 1/2*m**2 - 1/40*m**5 - 1/16*m**4. Factor o(p).
(p - 2)**2*(p + 1)**2/4
Let g(m) = -13*m**3 + 137*m**2 - 1152*m + 3072. Let o(d) = 4*d**3 - 46*d**2 + 384*d - 1024. Let q(s) = 4*g(s) + 14*o(s). Factor q(t).
4*(t - 8)**3
Suppose 5*k = k. Factor k - 1/4*b + 1/4*b**2.
b*(b - 1)/4
Let x be -5*(-1)/(-2) + 3. Suppose 5*z - 26 = -4*w, -2*w + 12 = -z + 3*z. Factor 1/2*v - x*v**z + 0.
-v*(v - 1)/2
Let r(g) = -g**3 - 5*g**2 + 8*g - 9. Let h(m) = -m**2 + m - 1. Let w(c) = 21*h(c) - 3*r(c). Factor w(k).
3*(k - 2)*(k - 1)*(k + 1)
Determine q, given that 15*q - 7*q**2 + 0*q**2 + 12*q**2 = 0.
-3, 0
Let w(j) be the first derivative of -j**3/2 + 3*j**2/4 - 6. Determine d so that w(d) = 0.
0, 1
Let f(a) be the third derivative of -1/33*a**3 + 1/132*a**4 + 0 + 0*a + 1/330*a**5 - 1/660*a**6 - a**2. Factor f(n).
-2*(n - 1)**2*(n + 1)/11
Suppose -3*j**5 + j**3 + 7*j**3 + 372*j**2 + j**4 - 368*j**2 = 0. Calculate j.
-1, -2/3, 0, 2
Factor -2/5*h**2 + 0 + 12/5*h.
-2*h*(h - 6)/5
Let o(j) = -28*j**3 + 56*j**2 - 48*j + 16. Let x(u) = -u**4 - 29*u**3 + 57*u**2 - 48*u + 16. Let f(w) = -5*o(w) + 4*x(w). Factor f(m).
-4*(m - 2)**2*(m - 1)**2
Suppose 0 = -23*j + 27*j. Let b(p) be the first derivative of 1/4*p**2 + 1 + 1/12*p**3 + j*p. Factor b(s).
s*(s + 2)/4
Let g(y) be the first derivative of 0*y - 2/3*y**3 - 2 - 1/2*y**4 + 0*y**2. Factor g(r).
-2*r**2*(r + 1)
Let z(x) = 3*x**2 + 19*x + 0 + 2*x**2 - 1 + 4*x**2. Let a(p) = 2*p**2 + 4*p. Let d(n) = -11*a(n) + 2*z(n). Factor d(i).
-2*(i + 1)*(2*i + 1)
Let p(s) = -s**2 - s. Let r be 1 + -18 - (-3)/3. Let q = r - -6. Let n(o) = 3*o**2 + 3*o. Let j(g) = q*p(g) - 4*n(g). What is f in j(f) = 0?
-1, 0
Let h be 459/238 - (-6)/(-14). Factor 3/2*p**2 - h - 3/2*p + 3/2*p**3.
3*(p - 1)*(p + 1)**2/2
Let x = -60 + 60. Factor -3/2*r**2 + x - 3*r**4 - 3/4*r + 21/4*r**3.
-3*r*(r - 1)**2*(4*r + 1)/4
Let m be (-25)/(-15) + 5*(-3)/36. Let 3/4*f**3 - f + 1 - m*f**2 = 0. Calculate f.
-1, 2/3, 2
Let g(w) = -w**4 + w**3 - w**2 + 1. Let f(d) = -4*d**5 + 4*d**4 + 8*d**3 - 24*d**2 + 8. Let q(z) = f(z) - 8*g(z). Determine c so that q(c) = 0.
-1, 0, 2
Let u be ((-1)/2)/(7/(-6) - -1). Let i(v) be the second derivative of -1/60*v**4 + u*v - 1/15*v**3 + 0 - 1/10*v**2. Factor i(t).
-(t + 1)**2/5
Let f(l) = -l**2 + 4*l + 1. Let h be f(2). Suppose -j**3 + 26 - 25*j + 4*j**2 + h*j**2 - 2*j + 1 = 0. Calculate j.
3
Let 2/3*v**2 + 0*v - 2/3*v**4 + 2/3*v**3 - 2/3*v**5 + 0 = 0. Calculate v.
-1, 0, 1
Factor 12*u + 89*u**2 + 8 - 2*u**3 - 89*u**2 - 2*u**3.
-4*(u - 2)*(u + 1)**2
Let h(b) be the third derivative of -b**7/70 - b**6/10 - b**5/4 - b**4/4 - 20*b**2. Factor h(t).
-3*t*(t + 1)**2*(t + 2)
Let r(b) = -2*b - 1. Let a be r(-2). Factor -3*d - 4*d**3 - 8*d**2 + d + 0*d - 2*d**a.
-2*d*(d + 1)*(3*d + 1)
Suppose 3 = 3*f - 3. Let d(z) be the first derivative of -1 + 0*z + 1/6*z**4 - 2/3*z**3 + 2/3*z**f. Factor d(k).
2*k*(k - 2)*(k - 1)/3
Let k be 2*3/21 - 6/(-21). Determine m so that 6/7*m - 4/7*m**3 + 6/7*m**4 - k*m**2 - 2/7*m**5 - 2/7 = 0.
-1, 1
Solve -8/9 + 14/9*m**2 + 8/3*m = 0 for m.
-2, 2/7
Let a(r) = r**3 - r. Let m be a(-1). Let v(w) be the third derivative of 1/72*w**6 - 2/315*w**7 + w**2 + m*w**4 + 0 + 0*w**3 + 0*w - 1/180*w**5. Factor v(f).
-f**2*(f - 1)*(4*f - 1)/3
Let y(w) be the second derivative of 0*w**2 + 1/12*w**4 - 1/12*w**7 + 2*w - 3/40*w**5 - 1/5*w**6 + 0 + 0*w**3. Suppose y(g) = 0. Calculate g.
-1, 0, 2/7
Let h = -1243 + 6239/5. Let -21/5*u - h*u**2 - 9/5*u**3 - 6/5 = 0. What is u?
-1, -2/3
Let y(x) = 7*x**4 + 9*x**3 - 5*x**2 + x + 3. Let d(q) = -11*q**4 - 14*q**3 + 8*q**2 - 2*q - 5. Let m(s) = -5*d(s) - 8*y(s). Factor m(p).
-(p - 1)*(p + 1)**3
Let b = 4596/1771 - 6/253. Suppose b*m**2 + 4/7 + 2/7*m**4 + 2*m + 10/7*m**3 = 0. Calculate m.
-2, -1
Let f = -7 - -7. Let k = 3 + f. Determine u, given that -2/3*u**k - 2/3 + 2/3*u**2 + 2/3*u = 0.
-1, 1
Let y(b) be the second derivative of 0 + 0*b**2 - 1/12*b**4 - 1/6*b**3 + 3*b. Let y(g) = 0. What is g?
-1, 0
Let -3*r**3 - 3/4*r**2 + 3*r + 3/4 = 0. What is r?
-1, -1/4, 1
Factor 20/7*j - 24/7 - 4/7*j**2.
-4*(j - 3)*(j - 2)/7
Let y(s) = s**4 + 6*s**3 + 9*s**2 + 4*s. Let z(m) = -5*m**3 - 10*m**2 - 5*m. Let j(r) = -5*y(r) - 4*z(r). Suppose j(q) = 0. What is q?
-1, 0
Let f = -169/99 - -20/11. Let g(r) be the first derivative of 1/12*r**4 + 0*r**2 + f*r**3 - 1 + 0*r. Find l such that g(l) = 0.
-1, 0
Let a(v) = -v**2 - 18*v + 12. Let c(g) be the first derivative of -3*g**2 + 4*g - 1. Let z be (36/(-15) + 2)*5. Let r(u) = z*a(u) + 7*c(u). Factor r(f).
2*(f - 2)*(f - 1)
Factor -4/9 - 4/3*b - 4/9*b**3 - 4/3*b**2.
-4*(b + 1)**3/9
Let n(f) = -f**3 - 12*f**2 + 14*f + 19. Let d be n(-13). Suppose d*j = 3*j. Suppose j - 1/5*k**4 + 1/5*k**2 + 0*k**3 + 0*k = 0. What is k?
-1, 0, 1
Factor 3*k**2 + 2*k + 7*k**2 - 6*k**2 + 2*k.
4*k*(k + 1)
Let i(l) = l**2 + 4*l + 2. Let g be i(-4). Factor m**2 + 2*m**g - 4*m**2 - 2*m + 0*m**2.
-m*(m + 2)
Let x(j) be the first derivative of -j**8/420 + j**7/35 - 2*j**6/15 + 4*j**5/15 + 4*j**3/3 - 7. Let k(y) be the third derivative of x(y). Solve k(b) = 0.
0, 2
Let h = -9 - -11. Find a, given that -9*a**h + 6*a - 4*a**2 - 2*a**2 = 0.
0, 2/5
Let k(g) be the first derivative of 2/3*g**6 + 7 + 0*g**3 + g**4 + 0*g**2 + 8/5*g**5 + 0*g. Factor k(a).
4*a**3*(a + 1)**2
Let o be 1 + (-2 + 3 - 1). Let x be 0/((-1)/(2 - o)). Find u such that 8*u**2 - 6*u**2 + x*u**2 + u**3 + u = 0.
-1, 0
Let i(t) be the first derivative of t**4 + 40*t**3/3 + 18*t**2 - 44. Factor i(o).
4*o*(o + 1)*(o + 9)
Determine g so that 0 - 2*g**2 - 2/5*g - 8/5*g**3 = 0.
-1, -1/4, 0
Let y be (1/(-12))/((-12)/36). Let m(c) be the first derivative of -c - y*c**4 - 1 + 1/2*c**2 + 1/3*c**3. Factor m(v).
-(v - 1)**2*(v + 1)
Let l be 50/(2 - -8)*(-2)/(-25). Factor -1/5*d**2 + 3/5 + l*d.
-(d - 3)*(d + 1)/5
Let y = 514 - 514. Factor y + 1/7*n**2 - 1/7*n.
n*(n - 1)/7
Let 29 - 28*n + 35 + n**2 + 12*n = 0. What is n?
8
Let u(m) be the third derivative of m**10/453600 + m**9/181440 - m**8/30240 - m**5/15 + m**2. Let a(p) be the third derivative of u(p). Factor a(c).
c**2*(c - 1)*(c + 2)/3
Let w = -2663/36 + 74. Let h(x) be the second derivative of w*x**4 + 1/9*x**3 + 1/6*x**2 + 0 - 2*x. Factor h(j).
(j + 1)**2/3
Suppose 0*u + 24 = 3*j + 3*u, 0 = 3*j + u - 14. Determine l so that -10/7*l**j + 4/7 - 4/7*l**2 + 10/7*l = 0.
-1, -2/5, 1
Determine d, given that 0 - 3*d + 21/2*d**2 = 0.
0, 2/7
Suppose 5*k - 14*k = -27. Determine z, given that -3/7*z**k - 9/7*z**2 - 6/7*z + 0 = 0.
-2, -1, 0
Let j(b) be the third derivative of 1/30*b**4 + 1/150*b**5 + 1/15*b**3 + 0*b + b**2 + 0. Determine q so that j(q) = 0.
-1
Suppose -s = -3*k - 3, 0 = 2*s - 4*s + 6. Solve -4*h**4 + k + h**2 - 5/2*h**5 - 1/2*h**3 + 0*h = 0.
-1, 0, 2/5
Let k(z) = z**5 + z**4 + z**3 + z**2 + 1. Let o(h) = 2*h**5 + 6*h**4 + 11*h**3 + 11*h**2 + 5*h + 2. Let x(s) = -3*k(s) + 3*o(s). Find b such that x(b) = 0.
-1
Find l, given that -25 - 7 + 14*l**2 + 2*l**3 + 15*l + l = 0.
-4, 1
Suppose 79 = m - 2*g, 0*m - 4*g = m - 91. Let x = -743/9 + m. Let -x - 2/9*z**2 + 2/3*z = 0. What is z?
1, 2
Let s = -63 - -191/3. Suppose -1/3*a**3 + 1/3*a + s*a**4 - 2/3*a**2 + 0 = 0. Calculate a.
-1, 0, 1/2, 1
Let x(k) be the first derivative of -4*k**3/9 + k**2/2 + k/3 - 3. Factor x(r).
-(r - 1)*(4*r + 1)/3
Let f(l) be the first derivative of l**3/21 - l**2/7 + l/7 + 5. Factor f(h).
(h - 1)**2/7
Solve 9*n**2 - 15*n**2 - 4*n**3 + 10*n**2 = 0 for n.
0, 1
Suppose -2*n - 14 + 20 = 0. Let p(x) be the second derivative of -1/100