be w(13). Factor -2/5 - 2/5*r**5 - 4*r**2 - 2*r**d - 4*r**3 - 2*r.
-2*(r + 1)**5/5
Let 2*g**2 - 2*g**2 + 4*g**2 - 3*g - 8 - g = 0. What is g?
-1, 2
Let k(w) be the third derivative of -w**6/90 + 2*w**5/45 + 10*w**2. Find x such that k(x) = 0.
0, 2
Determine g so that 0 - 36/5*g**4 - 21*g**3 - 3/5*g**5 + 108/5*g + 36/5*g**2 = 0.
-6, -1, 0, 1
Let s(b) be the third derivative of b**6/900 - b**5/150 + b**4/60 + b**3/3 + 4*b**2. Let y(m) be the first derivative of s(m). Find h such that y(h) = 0.
1
Let q be -3 - 1/4*-15. Let b(i) be the first derivative of 2 + 1/4*i**4 + 3/4*i**2 + 1/4*i + q*i**3. Suppose b(o) = 0. What is o?
-1, -1/4
Find n such that -5/6*n**2 - 5 + 25/6*n = 0.
2, 3
Suppose 6 = -35*n + 37*n. Factor 0 + 1/4*x**n + 0*x**4 + 0*x**2 - 1/4*x**5 + 0*x.
-x**3*(x - 1)*(x + 1)/4
Let -6*s**3 - 3*s**2 - s**2 + 0*s**2 + 2*s**3 = 0. What is s?
-1, 0
Let g be ((-5)/(50/(-24)))/2. Let y be 7/5 - (-2 + 3). Factor g*n**2 + 0 - y*n.
2*n*(3*n - 1)/5
Let h(u) be the third derivative of -u**6/540 - u**5/45 - u**4/9 + 5*u**3/6 - 2*u**2. Let r(a) be the first derivative of h(a). Determine y so that r(y) = 0.
-2
Let s(a) be the first derivative of -10*a**3/3 - 9*a**2/2 - 2*a + 18. Determine w, given that s(w) = 0.
-1/2, -2/5
Let b(y) = 16*y**3 - 26*y**2 - 11*y - 11. Let u(f) = 3*f**3 - 5*f**2 - 2*f - 2. Let j(s) = -4*b(s) + 22*u(s). Factor j(m).
2*m**2*(m - 3)
Let b(p) be the third derivative of 0*p + 1/360*p**5 + 0 + 1/144*p**4 + 6*p**2 + 0*p**3. What is d in b(d) = 0?
-1, 0
Let r(u) = -4*u**2 + 12*u + 6. Let q(f) = -7*f**2 + 23*f + 11. Let i(x) = -6*q(x) + 11*r(x). Let i(a) = 0. Calculate a.
-3, 0
Suppose -o = -4*o + 9. Suppose -2*u + z + 2*z = 9, 9 = 3*u + o*z. Factor u*y + 2/3*y**2 - 2/3.
2*(y - 1)*(y + 1)/3
Let a(q) = 24*q**2 - 24*q - 14. Let p(i) = -i**2 + 9*i + 7. Let n(o) = -2*o**2 + 8*o + 6. Let f(z) = -4*n(z) + 3*p(z). Let m(u) = 3*a(u) - 14*f(u). Factor m(b).
2*b*(b - 1)
Let n(f) = f**3 + 2*f**2 - 3*f + 3. Let m be n(-3). Find l, given that 2*l**m + 3*l**2 - 2*l**3 + l**3 = 0.
-3, 0
Let x = 2/3513 + 14832/1171. Let w = -12 + x. Find f, given that 0*f + 2/9*f**2 + 2/3*f**4 + w*f**3 + 2/9*f**5 + 0 = 0.
-1, 0
Let f(s) be the first derivative of -5*s**4/4 + 15*s**2/2 - 10*s + 8. Factor f(o).
-5*(o - 1)**2*(o + 2)
Suppose -x + 3*i + 0 = 5, 20 = 2*x + 4*i. Let l be ((-8)/6)/(x/(-12)). Suppose -1 + 2 + l*q**2 - 2*q - 3*q**2 = 0. Calculate q.
1
Let x(i) = -i**2 + i. Let l(t) = -7*t**2 - 2*t - 7. Let o(z) = l(z) - 6*x(z). Factor o(u).
-(u + 1)*(u + 7)
Let v(f) be the third derivative of f**8/23520 + f**7/8820 - f**4/12 + f**2. Let s(m) be the second derivative of v(m). Let s(q) = 0. Calculate q.
-1, 0
Let b(m) = -4*m + 15. Let t be b(6). Let c = t + 11. Factor 0 + 0*i + 1/2*i**3 - 1/2*i**c.
i**2*(i - 1)/2
Let c(v) = 3 - 5 - v - 2 + 0. Let z be c(-7). Find d, given that -4*d**2 + 4*d**2 + 0*d**z + d**3 = 0.
0
Let x(o) = -8*o**3 + 2*o**2 - 6. Let f(v) = 7*v**3 - 3*v**2 + v + 5. Let p(j) = -6*f(j) - 5*x(j). Find s such that p(s) = 0.
0, 1, 3
Find a such that 0 + 2*a**2 - 31*a**4 + 28*a**4 - 3 + 4*a**2 = 0.
-1, 1
Let v be (6/50*5)/(2 + 1). Let 0*c - 1/5*c**5 + 1/5*c**4 - 1/5*c**2 + v*c**3 + 0 = 0. What is c?
-1, 0, 1
Let z(c) be the first derivative of -c**5/160 - c**4/96 + c**3/48 + c**2/16 + c - 1. Let a(y) be the first derivative of z(y). Factor a(w).
-(w - 1)*(w + 1)**2/8
Factor 3*q**3 + 0 - 3/5*q**4 + 9/5*q - 21/5*q**2.
-3*q*(q - 3)*(q - 1)**2/5
Let j(o) be the second derivative of 0*o**2 + 9*o + 0 + 1/18*o**3 + 1/60*o**5 - 1/18*o**4. Factor j(a).
a*(a - 1)**2/3
Let k(q) = -2*q**2 + 13*q - 7. Let s(h) = -h**2 + 7*h - 4. Let r(x) = x**2 - 11*x + 12. Let c be r(9). Let u(m) = c*k(m) + 11*s(m). Factor u(n).
(n - 2)*(n + 1)
Let p(d) be the third derivative of -d**6/60 - d**5/15 - d**4/12 + d**2. Factor p(q).
-2*q*(q + 1)**2
Let i(x) = x + 2*x + 3*x**2 - 3*x**3 - 3*x**2 - 2 - 2*x**2. Let h(f) = -3*f**3 - 3*f**2 + 3*f - 3. Let q(y) = 2*h(y) - 3*i(y). Factor q(g).
3*g*(g - 1)*(g + 1)
Let b(a) = -a**3 - 4*a**2 + 3*a - 7. Let f be b(-5). Suppose -5*n + 12 = -f*x, -2*n = 2*n + 3*x - 15. Factor -4*t**2 - 1 - n*t**3 + 3*t**2 + 2*t**3 + 2 + t.
-(t - 1)*(t + 1)**2
Let w be -4*2*2/(-4). Let s be (w/6)/(3/90). What is u in -7*u**2 - 13*u**2 + 8*u**5 - 2 + s*u**3 - u - 10*u**4 + 11*u - 6*u**5 = 0?
1
Suppose -2*n = 5*o - 9, 0 = o + 3*o + 4*n - 12. Suppose -2*z - o = -7. Suppose 7*t**5 - 5*t**5 - t**4 - z*t**5 = 0. Calculate t.
-1, 0
Suppose 3*i = -9 - 81. Let w = -28 - i. What is g in -1/5*g + 0 + 0*g**w + 1/5*g**3 = 0?
-1, 0, 1
Let j(w) be the third derivative of -w**7/70 + w**6/40 + w**5/10 - 5*w**2. Solve j(u) = 0 for u.
-1, 0, 2
Let 4*w**5 - 2*w**4 - 6*w**4 + 14*w**5 + 4*w**4 = 0. Calculate w.
0, 2/9
Let x = 1 + 0. Let i be (2/((-6)/(-15)))/x. Let 6*q - 8*q**i - 4*q**2 - 18*q**3 - 4*q - 22*q**4 + 2*q**2 = 0. Calculate q.
-1, 0, 1/4
Let o(q) be the third derivative of q**6/720 - q**5/180 + q**4/144 - 10*q**2. Suppose o(k) = 0. What is k?
0, 1
Let q(k) be the second derivative of -k**7/14 - k**6/5 - 3*k**5/20 + 2*k. What is d in q(d) = 0?
-1, 0
Let r(b) be the third derivative of b**7/168 + 7*b**6/240 + b**5/20 + b**4/48 - b**3/24 - 3*b**2. Factor r(p).
(p + 1)**3*(5*p - 1)/4
Let r(j) = 20*j**3 - 12*j**2 + 8*j - 8. Let d(k) = 7*k**3 - 4*k**2 + 3*k - 3. Let a(z) = -8*d(z) + 3*r(z). Factor a(b).
4*b**2*(b - 1)
Let m = -1574/63 + 25. Let r(v) be the third derivative of 7/90*v**5 + 0*v + 0 + 1/18*v**4 - v**2 + 1/20*v**6 + m*v**7 + 1/504*v**8 + 0*v**3. Factor r(h).
2*h*(h + 1)**3*(h + 2)/3
Let r(y) = -3*y**2 - 3*y - 6. Let f(i) = -i**2 + i - 1. Let b(m) = 2*f(m) - r(m). Suppose b(x) = 0. Calculate x.
-4, -1
Let y = 14 - 16. Let d be y + (-7)/(189/(-66)). Solve -8/3*s**2 - d - 22/9*s = 0 for s.
-2/3, -1/4
Let w be 9/2*4/(-6). Let a = w + 7. Factor -1/3*v**2 + 1/3*v**a + 1/3*v + 0 - 1/3*v**3.
v*(v - 1)**2*(v + 1)/3
Let u(d) be the first derivative of -d**3/12 + 3*d**2/4 - 9*d/4 - 11. Factor u(q).
-(q - 3)**2/4
Let w(u) be the second derivative of u**5/2 - u**4/3 - u. Find f such that w(f) = 0.
0, 2/5
Let g(y) be the first derivative of -y**6/2 + 3*y**4 + 17. Solve g(f) = 0.
-2, 0, 2
Let x be -2*7*(-3)/6. Determine r so that -33*r**2 - 3*r**3 + 5*r**4 + 3 - 3*r**2 + x*r**4 + 3 - 15*r = 0.
-1, 1/4, 2
Factor -5*w**4 + 3*w**2 + 13*w**4 + 12 + 3*w**5 + 24*w - 11*w**4 - 15*w**3.
3*(w - 2)**2*(w + 1)**3
Solve 4*x + x**2 + 3 + 4 - 10 + 7 = 0.
-2
Let f(k) be the first derivative of 27*k**4/4 - 45*k**3 + 225*k**2/2 - 125*k - 19. Factor f(c).
(3*c - 5)**3
Determine k, given that -15*k - 2*k**4 + 6 - k**4 + 5*k**3 + 9*k**2 - k**3 - k**3 = 0.
-2, 1
Let h(s) be the first derivative of 2*s**6 - 16*s**5/5 - 4*s**4 + 8*s**3 + 2*s**2 - 8*s + 7. Find l, given that h(l) = 0.
-1, -2/3, 1
Let w(q) be the third derivative of -q**5/12 + 5*q**4/8 + 10*q**3/3 + 17*q**2. Factor w(z).
-5*(z - 4)*(z + 1)
Let p(l) = -l**4 + 10*l**3 + 2*l**2 + 6. Let u(a) = -a**3 - a**2 - 1. Let n(o) = -p(o) - 6*u(o). Determine x, given that n(x) = 0.
0, 2
Let j(t) be the first derivative of 5*t**7/168 - 13*t**6/120 + t**5/20 + t**4/12 - 5*t - 8. Let n(z) be the first derivative of j(z). Let n(k) = 0. Calculate k.
-2/5, 0, 1, 2
Suppose -13*j = -7*j - 30. Let b(v) be the third derivative of -1/3*v**3 + 0 - v**2 + 0*v + 1/60*v**6 + 1/30*v**j - 1/12*v**4. Factor b(q).
2*(q - 1)*(q + 1)**2
Factor 3 - 6 - 2*q**4 + 5 + 6*q**3 - 2*q**3 - 4*q.
-2*(q - 1)**3*(q + 1)
Let z be ((-6)/8)/((-3)/12). Suppose -5*x = -3*h + 32, 2*x - 4 = -z*h - 0*x. Factor 0*l - 2/3*l**2 + 1/3*l**h + 1/3*l**3 + 0.
l**2*(l - 1)*(l + 2)/3
Find c, given that 7*c**3 - c**2 - 2 - 5*c**2 + 0*c - 5*c**3 + 6*c = 0.
1
Let x(y) be the second derivative of -3*y**5/40 - y**4/2 + 10*y. Factor x(t).
-3*t**2*(t + 4)/2
Let s be (4/8)/(2/20). Let o = 12 - s. Let x(b) = -5*b**2 - 2*b. Let n(h) = 3*h**2 + h. Let j(k) = o*n(k) + 4*x(k). Factor j(q).
q*(q - 1)
Find l, given that -59*l**2 + 3*l**4 + 42*l**2 + 18*l**3 - 2*l**4 - 6*l**4 + 4 = 0.
-2/5, 1, 2
Let j be (-7 - 2)/(-3) + -9. Let w be (7/(-7))/(2/j). Factor -1 + 3*a - 13/4*a**2 + 3/2*a**w - 1/4*a**4.
-(a - 2)**2*(a - 1)**2/4
Suppose -5*l + 48 = l. Suppose l + 21*s**2 + 15*s + 4*s**3 + 5*s**3 - 5 = 0. Calculate s.
-1, -1/3
Let v(i) = -5*i**3 - 8*i**2 + i + 6. Suppose 3 = -0*b + 3*b. Let c(s) = -s**3 - s**2 + 1. Let