 -p = h*p - 8. Factor -2*y - 4*y**3 + p*y**4 + y**3 - 3*y**3 + 6*y**2.
2*y*(y - 1)**3
Let a(o) = 7*o**3 + 5*o**2 - 24*o - 37. Let g(s) = 3*s**3 + 2*s**2 - 12*s - 18. Let h(y) = -2*a(y) + 5*g(y). What is i in h(i) = 0?
-2, 4
Suppose 22*z = 1 + 43. Let o(r) be the third derivative of -2/315*r**7 + 0*r + 0*r**4 + 0*r**3 + 0 + 0*r**5 + 1/504*r**8 + r**z + 1/180*r**6. Factor o(t).
2*t**3*(t - 1)**2/3
Suppose -2*r + 4*l = 220, l + 76 = 5*r + 644. Let d be (-3)/2 + r/(-60). Determine f, given that -2/5*f**2 + 0*f + d = 0.
-1, 1
Let u be (4/30)/(4/15). Suppose 3/4*d**2 + 0 - u*d = 0. Calculate d.
0, 2/3
Find g, given that -22*g + 6*g**4 + 6 + 92/3*g**2 - 20*g**3 - 2/3*g**5 = 0.
1, 3
Let 34*s**2 + 12 - 16*s**2 - 15*s**2 - 15*s = 0. What is s?
1, 4
Suppose 4*d - o = 11, 0 = -d - 5*o - 0*o - 13. What is i in -d*i**4 + 8*i**5 - 3*i**2 + 5*i**2 - 7*i**5 + i - 2*i = 0?
-1, 0, 1
Let f(t) = 2*t**2 - 4*t + 2. Let q be f(2). Suppose -5*k = -3*k + 4*x + 4, q*k = 4*x + 12. Factor -w**4 + 0*w**2 + 0*w**2 - k*w**3.
-w**3*(w + 2)
Suppose 4*g - 20 = 12. Let b be (g/28)/((-6)/(-14)). Factor -2/3*r**4 + 0 + 0*r**3 + b*r**2 + 1/3*r**5 - 1/3*r.
r*(r - 1)**3*(r + 1)/3
Let b = -2 - -5. Solve -f**2 + 0*f + f**4 + f - f**b - f + f**5 = 0.
-1, 0, 1
Let v(f) = -6*f - 34. Let u be v(-6). Let g(k) be the first derivative of -1/3*k**4 + 0*k**2 - 2/15*k**5 + u - 2/9*k**3 + 0*k. Factor g(b).
-2*b**2*(b + 1)**2/3
Let a(q) be the second derivative of q**5/4 - 5*q**4/12 - 5*q**3/3 - 10*q. Determine g, given that a(g) = 0.
-1, 0, 2
Let i(d) be the first derivative of -49*d**3/4 - 21*d**2/2 - 3*d - 7. Factor i(o).
-3*(7*o + 2)**2/4
Suppose 0*j**3 - 1/5*j**5 - 2/5*j**4 + 0 + 2/5*j**2 + 1/5*j = 0. What is j?
-1, 0, 1
Let u(i) be the second derivative of -i**4/6 + i**3/3 - i**2/2 - i. Let y(c) = c**2 - c + 2. Let l(v) = -4*u(v) - 5*y(v). Factor l(a).
3*(a - 2)*(a + 1)
Let x(r) be the third derivative of 0*r**7 + 1/840*r**8 + 0 + 0*r + r**2 + 0*r**4 - 1/300*r**6 + 0*r**5 + 0*r**3. Factor x(h).
2*h**3*(h - 1)*(h + 1)/5
Suppose -3*t = -0*t - 12. Let h be t/4*1 + 1. Solve -1/3*b**3 - 2/3 + 2/3*b**h + 1/3*b = 0.
-1, 1, 2
Let w(i) be the second derivative of i**5/20 + i**4/6 - i**3/6 - i**2 - 28*i. Let w(z) = 0. What is z?
-2, -1, 1
Let o(g) be the second derivative of 0*g**3 - 4*g + 0 + 0*g**2 - 1/12*g**4 + 1/60*g**6 - 1/40*g**5. Find v, given that o(v) = 0.
-1, 0, 2
Let h(z) be the second derivative of -z**5/10 - 3*z**4/2 - 9*z**3 - 27*z**2 - 5*z. Factor h(i).
-2*(i + 3)**3
Factor -33*t**4 + 38*t**4 - 45*t**2 + 2 - 2 + 25*t + 15*t**3.
5*t*(t - 1)**2*(t + 5)
Let o(q) be the first derivative of 0*q - 1/2*q**4 + 10/3*q**3 - 2*q**5 + q**6 - 1 - 2*q**2. Solve o(y) = 0.
-1, 0, 2/3, 1
Let p(k) = 19*k + 231. Let w be p(-12). Factor 2/7*v**w + 0 + 2/7*v + 4/7*v**2.
2*v*(v + 1)**2/7
Let p(r) be the first derivative of 2*r**5/35 + r**4/14 - 16*r**3/21 - 12*r**2/7 - 11. Let p(m) = 0. What is m?
-2, 0, 3
Let r = 13/32 + 3/32. Factor r*z - 1/6*z**2 - 1/3.
-(z - 2)*(z - 1)/6
Let 50/7*f**2 + 2/7*f - 38/7*f**4 - 12/7*f**5 + 10/7*f**3 - 12/7 = 0. Calculate f.
-3, -1, -2/3, 1/2, 1
Let o(z) be the first derivative of z**2 - 2/3*z**3 + 0*z + 3. Suppose o(x) = 0. Calculate x.
0, 1
Factor -8/3 + 14/3*r**2 - 8*r.
2*(r - 2)*(7*r + 2)/3
Let b(c) be the third derivative of -c**5/60 - c**4/18 - c**3/18 + 2*c**2. Determine m, given that b(m) = 0.
-1, -1/3
Let z(f) be the third derivative of 0 + 0*f + 1/15*f**4 + 5*f**2 - 4/15*f**3 - 1/150*f**5. Solve z(c) = 0 for c.
2
Let g be (-50)/9*(-252)/(-96). Let x = 65/4 + g. Suppose -x*v**3 + v**4 + 5/3*v - 1/3*v**2 - 2/3 = 0. Calculate v.
-1, 2/3, 1
Let u = -10039/102 - -587/6. Let i = u - -104/119. Factor -i*m - 2/7*m**2 + 4/7.
-2*(m - 1)*(m + 2)/7
Let v(r) = -r + 0*r**3 - 4*r**3 + 2 + 0*r + 3*r. Let g(u) = 9*u**3 - u**2 - 4*u - 4. Let b(j) = 2*g(j) + 5*v(j). Determine o so that b(o) = 0.
-1, 1
Find u such that 0*u**3 - 2/13 + 4/13*u**2 + 0*u - 2/13*u**4 = 0.
-1, 1
Let n = 11 + -11. Let z(j) be the third derivative of 1/270*j**5 + j**2 + 0 + 0*j**3 + 1/108*j**4 + n*j. Factor z(a).
2*a*(a + 1)/9
Let p(m) = m**3 - 10*m**2 + 2*m - 11. Let g be p(10). Let 6*t**2 - g*t**2 - 2*t**4 + 6*t + 5*t**4 - 6*t**3 + 0*t**4 = 0. Calculate t.
-1, 0, 1, 2
Let r(g) = g**3 - 6*g**2 + 4. Suppose 0 = 6*m - 3*m - 18. Let o be r(m). Factor -19*q**o + q - q**2 - 7*q**5 - 20*q**3 + q + 5*q**3.
-q*(q + 1)**3*(7*q - 2)
Let g(l) be the second derivative of l**5/20 - 3*l**4/16 + l**3/4 - l**2/8 - 7*l. What is t in g(t) = 0?
1/4, 1
Solve 0*k**3 + 2/9*k**4 - 2/9*k**2 + 0 + 0*k = 0.
-1, 0, 1
Let f(d) be the first derivative of -d**3/12 - 3*d**2/8 - d/2 + 3. Factor f(c).
-(c + 1)*(c + 2)/4
Let g(b) = b**2 - 19*b + 37. Let i be g(17). Let f(m) be the first derivative of 4 + m**2 - 2/5*m**5 + 2/3*m**i + 0*m - 1/2*m**4. Factor f(v).
-2*v*(v - 1)*(v + 1)**2
Let z(h) be the first derivative of -4*h**5/5 - 2*h**4 + 4*h**3/3 + 4*h**2 - 12. Factor z(o).
-4*o*(o - 1)*(o + 1)*(o + 2)
Let h(q) be the first derivative of 9/2*q**2 - 5 - q**3 - 6*q. Factor h(t).
-3*(t - 2)*(t - 1)
Let t(c) be the third derivative of c**5/240 - c**4/48 + c**3/24 + 18*c**2. Factor t(l).
(l - 1)**2/4
Let g(r) = -r**3 - r**2 - r + 1. Let l(o) = 4*o**3 + o**2 + 4*o - 3. Let i(x) = -6*g(x) - 2*l(x). Factor i(h).
-2*h*(h - 1)**2
Let w(t) be the second derivative of t**6/1440 + t**3/2 - t. Let r(d) be the second derivative of w(d). Suppose r(s) = 0. Calculate s.
0
Let v(a) = a + 10. Let k be v(-7). Determine r, given that 2/5*r + 6/5*r**k + 6/5*r**2 + 0 + 2/5*r**4 = 0.
-1, 0
Let v(a) be the third derivative of a**8/420 - a**7/840 - a**6/90 + a**5/120 - a**3/3 + 2*a**2. Let h(f) be the first derivative of v(f). Factor h(o).
o*(o - 1)*(o + 1)*(4*o - 1)
Suppose 0 = 2*r - d + 6, -3*d + 3 = 5*r - d. Let h be (r + 2)/(5 + -1). Factor h + 0*a - 1/4*a**2.
-(a - 1)*(a + 1)/4
Let t(h) be the second derivative of -h**4/12 + h. Let c(b) = 6*b**2. Let k = -8 - -10. Let r(l) = k*c(l) + 14*t(l). Factor r(z).
-2*z**2
Let t(d) be the third derivative of -d**3 - 3*d**2 + 0 + 1/6*d**4 + 0*d - 1/90*d**5. Factor t(p).
-2*(p - 3)**2/3
Solve -i**2 + 1 + 1 + i + 3*i**2 + 3*i = 0 for i.
-1
Let z(a) be the second derivative of -2*a**6/105 + 4*a**5/35 - 5*a**4/21 + 4*a**3/21 - 13*a. Let z(k) = 0. Calculate k.
0, 1, 2
Let c(b) be the first derivative of -b**6/30 - b**5/25 + b**4/4 + b**3/3 - 2*b**2/5 - 4*b/5 + 35. What is z in c(z) = 0?
-2, -1, 1, 2
Let v(k) be the first derivative of k**4/42 + 2*k**3/21 + k**2/7 + 2*k/21 + 6. Find t, given that v(t) = 0.
-1
Let b(g) be the third derivative of g**7/1155 - g**6/330 - g**5/330 + g**4/66 + 4*g**2. Factor b(i).
2*i*(i - 2)*(i - 1)*(i + 1)/11
Let m(w) = w + 6. Let i be m(-6). Find v, given that 0*v**2 + 2*v**4 + 2 + 8*v + 8*v**3 + 12*v**2 + i*v**4 = 0.
-1
Suppose -3*i + 3*w = -21, 2*i - 3*w - 5 = 13. Suppose -h + 15 = 3*p, -3*p + 2 + 1 = -i*h. Factor -x + 2 + x**3 + h*x**3 - 3*x - 2*x**4.
-2*(x - 1)**3*(x + 1)
Suppose 7*m - 3*m - 5*h = 32, 0 = 3*m + 5*h + 11. Let t be 6/14 + m/(-7). Factor 8/5*q**3 + t - 8/5*q**2 + 2/5*q.
2*q*(2*q - 1)**2/5
Let a(k) = 21*k**4 + 45*k**3 + 21*k**2 - 81*k - 42. Let j(o) = -6*o**4 - 13*o**3 - 6*o**2 + 23*o + 12. Let s(v) = 5*a(v) + 18*j(v). Find u such that s(u) = 0.
-2, -1, 1
Suppose 16 = 12*r - 8. Find c, given that -c**3 + 1/2*c - 1/2*c**4 + c**r - 1/2 + 1/2*c**5 = 0.
-1, 1
Let u = 1991/5964 + -1/1988. What is d in 5/3*d - 4/3*d**2 + u*d**3 - 2/3 = 0?
1, 2
Let o(n) be the third derivative of 2*n**7/105 - n**6/30 - 2*n**5/15 - 4*n**2. Factor o(v).
4*v**2*(v - 2)*(v + 1)
Let i(a) = -16*a**4 + 8*a**3 - 6*a**2 - 14. Let p(c) = c**4 + 1. Let f(j) = -2*i(j) - 28*p(j). Factor f(g).
4*g**2*(g - 3)*(g - 1)
Let d = 34/21 + -22/21. Solve 0 + d*v**3 + 6/7*v**4 + 0*v + 0*v**2 = 0.
-2/3, 0
Factor -2*d**2 + 8/3 + 5/3*d**4 + 13/3*d**3 - 20/3*d.
(d - 1)*(d + 2)**2*(5*d - 2)/3
Suppose 285 = 9*h - 4*h. Let a = h - 283/5. Determine m, given that a*m**3 + 1/5*m**2 - 2/5*m - 1/5*m**4 + 0 = 0.
-1, 0, 1, 2
Let q = -135 - -676/5. Suppose -q*g**2 + 3/5*g - 2/5 = 0. Calculate g.
1, 2
Let h(m) be the third derivative of m**5/75 + m**4/15 - 4*m**2. Solve h(n) = 0 for n.
-2, 0
Let m(d) be the third derivative of d**7/140 - d**6/24 + d**5/10 - d**4/8 - d**3/2 + d**2. Let q(h) be the first derivative of m(h). Factor q(o).
3*(o