**4/36 - n**3/9 - n**2/2 + 19*n. Factor l(z).
(z - 3)*(z + 1)/3
Let p be (19 - 9)*(-2)/5. Let f(v) = v**3 + 5*v**2 + 5*v - 5. Let m(k) = k**3 + 4*k**2 + 4*k - 4. Let a(l) = p*f(l) + 5*m(l). Factor a(n).
n**3
Let q be (-14)/42*6/(-5). Determine f, given that -2/5*f**5 + 0*f - q*f**3 + 0*f**2 - 4/5*f**4 + 0 = 0.
-1, 0
Let l(t) = -t**2 + 4. Let q be l(2). Determine y so that -22/7*y**2 - 18/7*y - 4/7 + q*y**3 + 8/7*y**4 = 0.
-1, -1/2, 2
Suppose -28 = -6*y - y. Factor -7*l**3 - 3*l**y - 8*l**2 - 1/2*l**5 - 9/2*l - 1.
-(l + 1)**4*(l + 2)/2
Let w(d) be the first derivative of 1/9*d**3 - 3 - 1/18*d**6 + 0*d**2 + 1/5*d**5 + 0*d - 1/4*d**4. Factor w(a).
-a**2*(a - 1)**3/3
What is a in -7*a**3 - 178*a**2 + 4*a**5 - 8 + 186*a**2 + 3*a**3 - 12*a**3 + 12*a = 0?
-2, -1, 1
Let c(j) = -3*j**5 + 18*j**4 + 3*j**3 - 3*j**2 - 9*j - 6. Let v(q) = 2*q**5 - 9*q**4 - q**3 + q**2 + 4*q + 3. Let a(r) = 5*c(r) + 9*v(r). Factor a(i).
3*(i - 1)*(i + 1)**4
Let p = 2567/4 + -623. Factor p*m**2 - 15/4*m + 1/4 - 125/4*m**3.
-(5*m - 1)**3/4
Let j(i) be the third derivative of 0 - 1/20*i**6 + 0*i**3 + 0*i + 0*i**4 - 1/15*i**5 - 1/105*i**7 + 2*i**2. Factor j(t).
-2*t**2*(t + 1)*(t + 2)
Let k(a) be the first derivative of 5*a**3 - 25*a**2 + 15*a - 27. Factor k(t).
5*(t - 3)*(3*t - 1)
Suppose 117*h**3 - 8*h**4 + 1526*h - 1280 + 1194*h + 3*h**4 + 53*h**3 - 1605*h**2 = 0. What is h?
1, 16
Let z be (0 - 0) + 14/7. Let 4*b**2 - z*b**2 + 6*b**4 - 4*b**2 - 4*b**5 = 0. Calculate b.
-1/2, 0, 1
Let j(d) = d**2 + d - 2. Let r be j(-3). Let p be r*(71/(-18) + 4). Factor -20/9*l**2 - p*l**5 - 10/9*l**4 - 2/9 - 20/9*l**3 - 10/9*l.
-2*(l + 1)**5/9
Suppose 4*u = 17*t - 16*t + 20, 3*t - 4*u + 20 = 0. Suppose -2/5*v**2 - 2/5*v + t = 0. Calculate v.
-1, 0
Let w be (6/15)/((-8)/(-10)). Find c, given that 1/2*c - w*c**2 + 1/2 - 1/2*c**3 = 0.
-1, 1
Let h(f) = -4*f**4 - 4*f**3 + 4*f**2 + 4*f + 3. Let a(y) = -3*y**4 - 3*y**3 + 3*y**2 + 3*y + 2. Let b(o) = -3*a(o) + 2*h(o). Factor b(w).
w*(w - 1)*(w + 1)**2
Let c = 5 + -3. What is l in -2*l**3 - 2*l + c*l**2 + 2*l + 0*l**3 = 0?
0, 1
Let s(g) = -g**2 + g. Let z(v) = 5*v**2 - 7*v + 2. Let x be 0 + (1 - (0 - 0)). Let l(q) = x*z(q) + 4*s(q). Find i, given that l(i) = 0.
1, 2
Let y be ((-9)/(-6))/(-3)*0. Let h = -9 - -11. Let 1/6*a**h + y - 1/6*a = 0. Calculate a.
0, 1
Find u, given that 0*u**4 - 2*u - u**5 + 3*u**3 + 0*u**3 + u**2 - u**4 = 0.
-2, -1, 0, 1
Let l(d) be the first derivative of 2/3*d + 1/5*d**5 + 5 - 3/2*d**2 + 5/3*d**3 - 11/12*d**4. Let l(v) = 0. What is v?
2/3, 1
Let d be (1120/(-24))/(-7) - 6. Let s = 1 - -1. Factor 2/3*l**3 + 0 - d*l + 0*l**s.
2*l*(l - 1)*(l + 1)/3
Let q(p) be the first derivative of 3*p**5/10 - 9*p**4/4 + 5*p**3/2 - 39. Suppose q(i) = 0. What is i?
0, 1, 5
Let m(g) be the third derivative of -3*g**8/784 - 2*g**7/245 + g**6/35 + 3*g**5/70 - 5*g**4/56 - g**3/7 - 2*g**2 - 7*g. What is b in m(b) = 0?
-2, -1, -1/3, 1
Let a(p) be the second derivative of -p - 1/150*p**5 + 0 - 1/15*p**3 - 1/30*p**4 - 3/2*p**2. Let y(t) be the first derivative of a(t). Factor y(m).
-2*(m + 1)**2/5
Let v(n) be the third derivative of -2*n**7/105 + n**6/15 - n**4/3 + 2*n**3/3 + 6*n**2 - 4*n. Factor v(g).
-4*(g - 1)**3*(g + 1)
Determine m, given that 4*m**2 - 3*m**4 + 8*m**2 - 9*m**2 = 0.
-1, 0, 1
Let i(h) be the third derivative of h**5/300 + 11*h**4/120 + h**3/3 - 43*h**2. Factor i(r).
(r + 1)*(r + 10)/5
Let s(u) be the second derivative of -1/90*u**6 - 1/30*u**5 + 0 + 1/6*u**2 + 2*u + 0*u**4 + 1/9*u**3. Find d such that s(d) = 0.
-1, 1
Let w = 59/2 + -29. Factor 1/2*l**4 + l**3 - 1/2*l - l**2 + w - 1/2*l**5.
-(l - 1)**3*(l + 1)**2/2
Let i(c) be the third derivative of -c**6/360 - 2*c**3/3 - 3*c**2. Let r(p) be the first derivative of i(p). Suppose r(s) = 0. Calculate s.
0
Let l(j) be the first derivative of 5*j**3/3 + 5*j**2/2 - 10*j - 18. Factor l(q).
5*(q - 1)*(q + 2)
Let q(c) be the third derivative of -c**2 + 0*c + 0 + 0*c**4 - 1/30*c**5 + 0*c**3 + 1/60*c**6. What is k in q(k) = 0?
0, 1
Let o(x) = -x**3 + 4*x**2 - 4*x + 2. Let a be o(2). Suppose -a*k = 2*k. Factor 2/7*u**4 + k*u + 0*u**2 + 0 + 2/7*u**3.
2*u**3*(u + 1)/7
Let w = -70 - -75. Let q(j) be the first derivative of 2*j - 1/2*j**3 + j**2 - 1/10*j**w - 1/2*j**4 - 3. Suppose q(y) = 0. What is y?
-2, -1, 1
Let x(h) = h**2 + 13*h + 8. Let v be x(-13). Solve -7*k**3 - k**3 + v*k - 4*k**4 + 3*k**4 - 4*k**2 + 5*k**4 = 0.
-1, 0, 1, 2
Suppose -9 = -2*k + 9. Suppose 3*s + 3*n = k, 2*s + 1 = 3*n + 2. Factor 0*o**3 - s*o**3 - 3*o + 2*o**2 - 2 + 5*o**3.
(o - 1)*(o + 1)*(3*o + 2)
Let f = 407 + -2033/5. Determine r, given that -2/15*r**2 - 4/15 + f*r = 0.
1, 2
Let i(d) = 21*d**2 - 18*d + 15. Suppose 0 = 5*c - 2*k - 80, 4*c - 5*k + 1 - 48 = 0. Let w(h) = -h**2 + h - 1. Let m(v) = c*w(v) + i(v). Factor m(a).
3*(a - 1)*(a + 1)
Let s = -2991/5 - -603. Let 9/5*t**2 + 0 - 1/5*t - s*t**3 + 16/5*t**4 = 0. Calculate t.
0, 1/4, 1
Let q(x) be the second derivative of x**5/20 - 7*x**4/12 - 3*x**3/2 + 5*x**2 - x. Let a be q(8). Factor -4*r + 3*r - 3*r + a*r**2 + 2*r.
2*r*(r - 1)
Let b(m) be the first derivative of m**4/22 + 4*m**3/33 - m**2/11 - 4*m/11 + 6. Factor b(v).
2*(v - 1)*(v + 1)*(v + 2)/11
Determine a so that 2/5*a**5 + 32/5 + 2/5*a**4 + 32/5*a - 16/5*a**3 - 16/5*a**2 = 0.
-2, -1, 2
Let b be 33/3 + (-6)/(-3). Factor -j**3 + b - j**2 - 21 + 8.
-j**2*(j + 1)
Determine h, given that 1/2*h + 1 - 1/2*h**3 - h**2 = 0.
-2, -1, 1
Let c(b) be the first derivative of -5*b**5/22 + 10*b**4/33 - 4*b**3/33 + b + 3. Let f(a) be the first derivative of c(a). Let f(n) = 0. Calculate n.
0, 2/5
Let x(w) be the second derivative of -w**4/30 - 14*w**3/15 - 49*w**2/5 - 17*w. Factor x(p).
-2*(p + 7)**2/5
Let 8*i**2 + 8*i**3 - 2*i**3 - 2*i**3 = 0. What is i?
-2, 0
Let k(z) be the second derivative of -1/30*z**6 + 0 + z**2 - 3/20*z**5 + z - 1/12*z**4 + 1/2*z**3. Suppose k(i) = 0. What is i?
-2, -1, 1
Let l(k) be the third derivative of k**6/660 - 2*k**5/165 + k**4/44 - 6*k**2. Factor l(g).
2*g*(g - 3)*(g - 1)/11
Let y(u) = -u**5 + u**4 + u**3 + u**2 + u. Let h(w) = -14*w**5 + 24*w**4 - 4*w**3 + 14*w**2 + 10*w. Let k(o) = -2*h(o) + 20*y(o). Determine q so that k(q) = 0.
0, 1/2, 1, 2
Let s be (-4)/(-10) + (-132)/(-20). Factor j**2 + 3 - s - 2*j**3 - j**2 + 6*j.
-2*(j - 1)**2*(j + 2)
Let k(v) be the third derivative of -1/672*v**8 - v**2 - 1/48*v**4 + 1/12*v**3 + 0 + 1/420*v**7 - 1/60*v**5 + 1/120*v**6 + 0*v. Factor k(p).
-(p - 1)**3*(p + 1)**2/2
Let k(g) be the third derivative of -g**8/504 - g**7/63 - 2*g**6/45 - 2*g**5/45 + 7*g**2. Factor k(f).
-2*f**2*(f + 1)*(f + 2)**2/3
Let s(i) = 13*i**2 - 4*i - 8. Let w(f) = -3*f**2 + f + 2. Let p(v) = -2*s(v) - 9*w(v). Solve p(u) = 0.
-1, 2
Let n(j) = -24*j**2 + 4*j + 8. Let l(f) = f**2. Let s(z) = -20*l(z) - n(z). Determine o, given that s(o) = 0.
-1, 2
Let p(w) be the third derivative of -w**6/600 + w**5/60 - w**4/15 + 2*w**3/15 - 34*w**2. Find m, given that p(m) = 0.
1, 2
Let t(h) be the first derivative of -3/4*h**2 - 3 - 3/10*h**5 + 1/3*h**3 + 1/12*h**6 + 1/4*h**4 + 1/2*h. Factor t(v).
(v - 1)**4*(v + 1)/2
Let u(w) be the third derivative of 1/180*w**5 + 0*w - 1/72*w**4 + w**2 + 0*w**3 + 0. Factor u(m).
m*(m - 1)/3
Let h(b) be the first derivative of b**6/8 - b**5/5 - 23*b**4/48 + 3*b**3/2 - 3*b**2/2 + 2*b/3 + 24. Solve h(v) = 0 for v.
-2, 2/3, 1
Let d(f) = -3*f - 13. Let x be d(-6). Suppose -x*u = -18 + 3. Solve -1/5*r**3 - 7/5*r**2 - u*r - 9/5 = 0 for r.
-3, -1
Let l(a) be the first derivative of -a**6/48 + 3*a**5/40 - a**4/16 - a**3/12 + 3*a**2/16 - a/8 + 11. Factor l(m).
-(m - 1)**4*(m + 1)/8
Suppose g - 2*l = -2*g, 2*g = -5*l. Let c(s) be the third derivative of -1/72*s**4 + 0*s - 1/360*s**6 + 1/90*s**5 + s**2 + g + 0*s**3. Let c(b) = 0. What is b?
0, 1
Let s(r) be the first derivative of 3/20*r**4 + 24/5*r - 2/5*r**3 + 5 - 6/5*r**2. What is q in s(q) = 0?
-2, 2
Let b = 21 - 19. Suppose -5*p**2 + p**b + 7 - 3 = 0. What is p?
-1, 1
Let f(i) be the third derivative of -i**6/84 + i**5/30 - i**4/42 - 2*i**2. Let f(h) = 0. Calculate h.
0, 2/5, 1
Let d be ((32/(-180))/(-8))/2. Let t(c) be the second derivative of -5/27*c**3 - 1/135*c**6 + 2/9*c**2 - c + 0 + d*c**5 + 1/18*c**4. Solve t(z) = 0 for z.
-2, 1
Let i(a) = 6*a**3 - a**2 - 25*a - 18. Let u(b) = 3*b**3 - 12*b - 9. Let s(x) =