3*a**2 + 9*a - 6. Let y(m) = -25*m**3 + 7*m**2 + 19*m - 13. Let j(u) = 13*i(u) - 6*y(u). Determine b so that j(b) = 0.
-1, 0, 1/2
Suppose 3*a = -2*g + 26, -2*g - 17 = -2*a - 3*g. Suppose 20 = a*k - 3*k. Let 1/3*v**k + 0 + 0*v**3 - 1/3*v**2 + 0*v = 0. Calculate v.
-1, 0, 1
Suppose -4*h = h - 30. Let d = -3 + h. Let -10/9*p + 14/9*p**2 - 2/3*p**d + 2/9 = 0. Calculate p.
1/3, 1
Let o(g) = -g - 7. Let a be o(-12). Let p = 7 - a. Determine r, given that 0 + 2*r**4 + 3/2*r**5 - 2*r**p - r**3 - 1/2*r = 0.
-1, -1/3, 0, 1
Let v be ((-1)/3)/(2/(-18)). Suppose v*u**3 - 2*u**3 - u**2 - 2*u**3 = 0. What is u?
-1, 0
Let c(o) = o - 8. Let h be c(7). Let i(l) = 2*l**2 - 7*l - 5. Let k(m) = 4*m - m + 2*m - 4*m + 1. Let d(v) = h*i(v) - 5*k(v). Suppose d(u) = 0. What is u?
0, 1
Let z(h) be the third derivative of 0 + 1/60*h**4 - 1/300*h**6 + 0*h + 6*h**2 + 0*h**3 + 0*h**5. Factor z(c).
-2*c*(c - 1)*(c + 1)/5
Let a be 27/108*(1 + 7). Factor 0 + 3/2*y**a - 3/2*y.
3*y*(y - 1)/2
Factor 27/2*y + 0 + 21/2*y**3 + 45/2*y**2 + 3/2*y**4.
3*y*(y + 1)*(y + 3)**2/2
Let -2*i**2 + 10*i**4 + 2*i**3 - 18*i**4 + 10*i**4 - 2*i**5 = 0. Calculate i.
-1, 0, 1
Suppose 5*v + 25 = -0*n + 5*n, 0 = 4*v - 3*n + 15. Suppose -4 = -4*b - 2*s, v*b + 3*s = b - 15. Factor 0 - 2/9*h**b + 0*h + 0*h**2 + 2/9*h**4.
2*h**3*(h - 1)/9
Suppose -4/5*p**4 + 0 + 16/5*p + 16/5*p**2 - 4/5*p**3 = 0. Calculate p.
-2, -1, 0, 2
Let g(c) be the third derivative of -c**5/30 + c**4/24 + c**3/6 - 10*c**2. Factor g(n).
-(n - 1)*(2*n + 1)
Let n(p) be the third derivative of -1/4*p**4 - 1/6*p**3 + 0*p - 1/120*p**6 + 0 - p**2 + 3/40*p**5. Let q(m) be the first derivative of n(m). Factor q(z).
-3*(z - 2)*(z - 1)
Let w = -3 - -1. Let j be w/(-7) + 84/49. Determine d so that 3*d**2 + 3*d**4 + 6*d**3 + 2*d**5 + 3*d**4 - 3*d**2 + 2*d**j = 0.
-1, 0
Let x = -222 + 224. Factor 0 - 2/9*t**x + 4/9*t**3 + 0*t - 2/9*t**4.
-2*t**2*(t - 1)**2/9
Suppose 59 = 3*d + 5*t, 4*d - 6*d + 48 = -t. Suppose -25 = 5*b, 5*m - m = 3*b + d. Factor -1/2 - c - 1/2*c**m.
-(c + 1)**2/2
Let b(n) = -n**2 + 6*n. Let h(a) = -a. Let u(v) = -3*b(v) - 15*h(v). Factor u(g).
3*g*(g - 1)
Let h(t) be the first derivative of -t**5/30 - t**4/12 - 3*t**2/2 - 1. Let x(c) be the second derivative of h(c). Factor x(s).
-2*s*(s + 1)
Suppose -5*u = -26 + 1. Let m(h) be the first derivative of -u*h + h + h**2 + 1 + 1 + 0*h + 2*h**3. Factor m(k).
2*(k + 1)*(3*k - 2)
Let m(y) be the first derivative of y**4/36 - y**3/3 + 3*y**2/2 + 7*y + 6. Let z(f) be the first derivative of m(f). Factor z(v).
(v - 3)**2/3
Let a = 243929/240 + -3049/3. Let t(g) be the second derivative of 0 - a*g**5 - 3/8*g**4 - 3*g**2 + 2*g - 3/2*g**3. Factor t(r).
-3*(r + 2)**3/4
Let v(y) = -3*y**3 + 5*y**2 - 2*y + 4. Let s be v(4). Let k be -3 + 0 + s/(-20). Find n, given that 0 - 14/5*n**4 + 4/5*n + k*n**2 + 6/5*n**3 - 2*n**5 = 0.
-1, -2/5, 0, 1
What is r in 4/7 - 10/7*r - 2/7*r**3 + 8/7*r**2 = 0?
1, 2
Let v(m) = 23*m**2 + 14*m**2 + m**3 - 38*m**2 + 2. Let d(t) = 2*t**3 - t**2 + 3. Suppose -2 = 3*b - 2*b. Let f(i) = b*d(i) + 3*v(i). Factor f(j).
-j**2*(j + 1)
Let o(j) be the first derivative of -j - 1/6*j**4 - 3 + 1/2*j**3 - 1/2*j**2. Let u(q) be the first derivative of o(q). Factor u(k).
-(k - 1)*(2*k - 1)
Factor -12*n**2 + 0*n**4 + 268 - 4*n**4 - 4*n - 12*n**3 - 268.
-4*n*(n + 1)**3
Let g(p) be the second derivative of -p**5/2 + p**4/2 + 4*p**3 + 4*p**2 - 32*p. Suppose g(j) = 0. What is j?
-1, -2/5, 2
Let i(b) be the third derivative of -b**7/3780 - b**6/1080 + b**4/24 - 2*b**2. Let o(w) be the second derivative of i(w). Factor o(r).
-2*r*(r + 1)/3
Let f(h) be the third derivative of -3*h**7/490 + h**6/70 - h**5/140 + 19*h**2. Suppose f(d) = 0. What is d?
0, 1/3, 1
Let 16/3 - 202/3*c**3 + 104/3*c - 140/3*c**4 + 98/3*c**5 + 124/3*c**2 = 0. What is c?
-1, -2/7, 1, 2
Let n be (-2)/6 + (-260)/(-6). Let v = -257/6 + n. Factor 0 + 1/6*c**2 - v*c.
c*(c - 1)/6
Let k = -1 + 3. Factor -3*g**2 + g - 5*g - k*g.
-3*g*(g + 2)
Let p(i) be the third derivative of i**8/2352 - 3*i**7/490 + i**6/35 - 4*i**5/105 + 4*i**2. Suppose p(r) = 0. What is r?
0, 1, 4
Let w(z) = 76*z**3 + 32*z**2 - 100*z - 120. Let p(a) = 7*a**3 + 3*a**2 - 9*a - 11. Let j(m) = -32*p(m) + 3*w(m). Factor j(u).
4*(u - 2)*(u + 1)**2
Let n(v) be the first derivative of -v**6/720 - v**5/240 + v**4/24 - 5*v**3/3 + 3. Let z(o) be the third derivative of n(o). Determine b, given that z(b) = 0.
-2, 1
Let g(h) = h - 3. Let q be g(5). Factor 0*c**4 - 2*c**3 + 4*c**3 - 5*c**5 - c**4 + q*c**5.
-c**3*(c + 1)*(3*c - 2)
Let o(g) be the second derivative of -g**7/42 + 4*g. Find u, given that o(u) = 0.
0
Factor -3/2 + 1/2*a**2 + a.
(a - 1)*(a + 3)/2
Solve -3/2*i**3 + 3/4*i**5 + 3/4*i + 1/2*i**2 - 1/4 - 1/4*i**4 = 0 for i.
-1, 1/3, 1
Let v = 23/21 + 4/7. Factor -v*d**3 + 0*d + 0 - 1/3*d**5 - 4/3*d**4 - 2/3*d**2.
-d**2*(d + 1)**2*(d + 2)/3
Suppose r - 8 = 4. Let c = r + -9. Suppose 120*p**2 - 9*p + 30*p**4 - 39*p + 8 - 112*p**3 - 18*p**2 + 20*p**c = 0. Calculate p.
2/5, 2/3, 1
Solve -2*x - 8*x + 100*x**3 - 3*x + 16*x**2 - 100*x**4 - 3*x = 0 for x.
-2/5, 0, 2/5, 1
Let n(a) be the first derivative of -2*a**3/9 - 2*a**2/3 - 2*a/3 - 4. Determine z so that n(z) = 0.
-1
Find r such that -2*r**4 + 2*r**4 - 9*r**4 + 15*r**3 + 12*r**2 - 12*r + 0*r**2 = 0.
-1, 0, 2/3, 2
Let o be 0 + ((-4)/(-60) - 3/(-9)). Factor -4/5*h**3 + 0 - o*h**2 + 2/5*h**4 + 4/5*h.
2*h*(h - 2)*(h - 1)*(h + 1)/5
Let u(a) = 7*a**2 + 2*a. Let x(r) be the second derivative of r**4/2 + r**3/3 - 2*r. Let q(y) = 5*u(y) - 6*x(y). Find w, given that q(w) = 0.
-2, 0
Let n be 16/(-24) - (-12)/9. Let 4/3*a - n - 2/3*a**2 = 0. Calculate a.
1
Find y, given that 108 + 2*y - 4*y**3 - 112 - 4*y**4 + 8*y**2 + 0*y**3 + 2*y**5 = 0.
-1, 1, 2
Let x(z) be the third derivative of -z**7/13860 - z**6/990 - z**5/165 - z**4/8 + 3*z**2. Let u(i) be the second derivative of x(i). Factor u(d).
-2*(d + 2)**2/11
Let z be (-1)/5 - 0 - 56/(-80). Factor 0*s + 0 + z*s**2.
s**2/2
Let n(u) = -u**2 + 11*u + 44. Let d be n(14). Factor -2/15*f**d - 16/15*f - 32/15.
-2*(f + 4)**2/15
Let v be (12/120)/(6/10). Suppose -1/6*x**4 + 0 - v*x**2 - 1/3*x**3 + 0*x = 0. What is x?
-1, 0
Factor 0*k + 1/5*k**2 - 1/5*k**3 + 0.
-k**2*(k - 1)/5
Let a(i) be the third derivative of i**6/360 - i**5/180 - 7*i**2. Factor a(b).
b**2*(b - 1)/3
Suppose -2*v = 3*p - 7*v + 7, 0 = -5*p + 2*v + 1. Suppose 4*s = -j - 4 - p, -3*s = j + 5. Solve 2/5*z**2 + 2/5*z**3 + s + 0*z = 0.
-1, 0
Let d(t) be the first derivative of -3*t**4/8 - 45*t**3/2 - 2025*t**2/4 - 10125*t/2 + 43. Let d(c) = 0. What is c?
-15
Let i(f) be the first derivative of -f**7/315 - f**6/180 + 2*f**2 + 5. Let y(r) be the second derivative of i(r). Factor y(q).
-2*q**3*(q + 1)/3
Let z be 0/((-9)/3 + 1). Let q(v) be the third derivative of -1/32*v**4 + 0*v**5 + 1/12*v**3 + z + 1/480*v**6 - 2*v**2 + 0*v. Let q(k) = 0. What is k?
-2, 1
Let x be 0 + (-2)/4*-1. Let f(s) = -s**3 + 3*s**2 + s - 1. Let h be f(-1). Suppose -3/4*v + x - 5/4*v**h = 0. Calculate v.
-1, 2/5
Let f(r) be the first derivative of -2/3*r**3 - 1/2*r**4 + 0*r**2 - 2 + 0*r. Factor f(q).
-2*q**2*(q + 1)
Let i(y) be the third derivative of -y**2 + 0 - 1/30*y**6 - 4/105*y**7 + 1/6*y**4 + 0*y + 1/12*y**3 + 1/8*y**5. Determine t so that i(t) = 0.
-1, -1/4, 1
Let p be 2/3*(12/16 + 0). Factor t**3 + 0*t**2 + 0*t**4 - p*t**5 + 0 - 1/2*t.
-t*(t - 1)**2*(t + 1)**2/2
Suppose 4*u - 4 = 3*a, -a - 4*u = -7 + 3. Let h(v) be the second derivative of 1/6*v**3 + 0 - 5*v + a*v**2 + 1/12*v**4. Solve h(k) = 0.
-1, 0
Let w(h) be the first derivative of -3*h**5/25 + 9*h**4/20 - h**3/5 - 9*h**2/10 + 6*h/5 + 9. Determine r, given that w(r) = 0.
-1, 1, 2
Let u(v) be the second derivative of 2*v + 0 + 0*v**3 + 1/36*v**4 - 1/6*v**2. Suppose u(f) = 0. What is f?
-1, 1
Let c(j) be the second derivative of -j**7/28 + j**6/20 + 3*j**5/20 - 6*j. Solve c(b) = 0.
-1, 0, 2
Let o(g) be the first derivative of -g**4/3 + 2*g**2/3 - 39. What is d in o(d) = 0?
-1, 0, 1
Factor -14/9*w + 2/9 + 14/9*w**3 - 2/9*w**2.
2*(w - 1)*(w + 1)*(7*w - 1)/9
Let s = -10 + 14. What is x in -s*x - 18*x**2 - 4 + 1 + 3 = 0?
-2/9, 0
Let c(f) be the first derivative of f**5/5 + 11*f**4/48 + f**3/18 - 8. Suppose c(a) = 0. Calculate a.
-2/3, -1/4, 0
Let p = -3 + 7. Let 4*a**4 - a**2 - a**p - 2*a**2 = 0. Ca