/21*c**3 + 2/35*c**b + 2 + 0*c. Factor j(x).
2*x*(x - 1)**2*(x + 1)/7
Let q = -11 + 13. Factor -9*p**3 + 8*p**2 - q*p**3 + 0*p - 5*p**3 - p.
-p*(4*p - 1)**2
Factor -1/2 - 9/4*k**3 + 7/4*k**4 - 5/4*k**2 + 9/4*k.
(k - 1)**2*(k + 1)*(7*k - 2)/4
Find z such that 0 + 1/5*z - z**2 = 0.
0, 1/5
Let b(a) = -18*a**3 - 9*a**2 + 12*a - 3. Let x(g) = -17*g**3 - 8*g**2 + 12*g - 2. Let q(o) = 5*b(o) - 6*x(o). Solve q(d) = 0 for d.
-1, -1/4, 1
Let a(q) = 2*q + 4. Let r be (-1)/2 + 3/6. Let k be a(r). Solve 0*y**3 + 4/9*y**k - 2/9*y + 0 - 4/9*y**2 + 2/9*y**5 = 0.
-1, 0, 1
Suppose 5*a + 10 - 35 = 0. Determine m, given that 8*m**3 - 2*m**2 + 2*m**3 - 2*m - a*m**2 - m**3 = 0.
-2/9, 0, 1
Factor -3*s**4 - 2*s**3 + 2*s**4 + 6*s**4 - 3*s**4.
2*s**3*(s - 1)
Suppose 6*t = 4*t + 4. Let p = -19 - -21. Find b such that p*b**t - 4/7*b + 0 - 10/7*b**3 = 0.
0, 2/5, 1
Let b be (2/(-1) + -2)*(-1)/14. Factor 2/7*t**2 + 0 - b*t.
2*t*(t - 1)/7
Let g(p) be the first derivative of p**7/420 - p**6/60 + p**4/3 + 4*p**3/3 + 3. Let w(x) be the third derivative of g(x). Find b, given that w(b) = 0.
-1, 2
Let z(c) be the third derivative of -c**6/420 - c**5/70 + 10*c**2. Let z(x) = 0. Calculate x.
-3, 0
Let g(c) = -c**3 - 4*c**2 + c + 1. Let y be g(-3). Let m = y - -34/3. Factor 1/3*n - 2/3 + m*n**2.
(n - 1)*(n + 2)/3
Let z(k) be the second derivative of k**7/420 - k**6/160 + k**4/96 - 3*k**2/2 - 2*k. Let o(g) be the first derivative of z(g). Factor o(y).
y*(y - 1)**2*(2*y + 1)/4
Let m = 1 - -3. Suppose m*b - 2 = 6. Determine y, given that 2/3 - 4/3*y + 2/3*y**b = 0.
1
Let w be (-12)/2*(-8)/(-16). Let k be w/5 + 129/165. Let 0 + 0*o + 4/11*o**5 + 6/11*o**4 + k*o**3 + 0*o**2 = 0. What is o?
-1, -1/2, 0
Let u(o) be the first derivative of 7*o**5/25 + 61*o**4/20 + 29*o**3/5 - 41*o**2/2 + 10*o - 12. Determine a, given that u(a) = 0.
-5, 2/7, 1
Let i(g) = -g**2 + 2*g - 5. Let c(r) = -r - 22. Let a be c(0). Let q be (-2)/5 - a/5. Let y(x) = -x + 1. Let z(p) = q*y(p) + i(p). Solve z(w) = 0 for w.
-1
Let b(q) = -q + 8. Let c be b(4). Suppose -v**3 - 8*v + 8*v**2 - 2*v + c - v**3 = 0. What is v?
1, 2
Solve 20/7*b**4 + 2/7*b**5 + 64/7 + 160/7*b + 160/7*b**2 + 80/7*b**3 = 0 for b.
-2
Let s = 2306/1015 + 2/145. Determine a so that -76/7*a**2 + 2/7*a**5 - 16/7*a**4 + 8*a + 50/7*a**3 - s = 0.
1, 2
Let i(j) be the second derivative of 5*j**4/12 + 5*j**3/3 + 5*j**2/2 + 10*j. Factor i(k).
5*(k + 1)**2
Let j(f) = f**2 - 6*f. Let i be j(6). Let p(b) be the second derivative of 1/3*b**2 + 1/2*b**3 + 1/9*b**4 + i + b. What is c in p(c) = 0?
-2, -1/4
Let k(m) = -2*m + 3*m + 6 + m**2 - m**3 - 1. Let v be k(0). Find c, given that 3*c - v*c + 2*c**3 + 3*c**2 - 5*c**2 + 2 = 0.
-1, 1
Factor -76/15*m**2 + 10/3*m**3 + 56/15*m + 2/15*m**5 - 16/15 - 16/15*m**4.
2*(m - 2)**3*(m - 1)**2/15
Let k = 71/140 + -1/140. Solve k*b - b**2 - 1/2*b**3 + 1 = 0.
-2, -1, 1
Solve 9 - 3*d + 1/4*d**2 = 0.
6
Let c(y) be the second derivative of y**6/180 + y**5/30 + y**4/12 + 5*y**3/6 - y. Let j(q) be the second derivative of c(q). Factor j(b).
2*(b + 1)**2
Factor -2/5*o**2 - 1/5*o**3 + 2/5 + 1/5*o.
-(o - 1)*(o + 1)*(o + 2)/5
Let y(j) be the first derivative of -j**6/24 - j**5/4 - 7*j**4/16 + j**3/12 + j**2 + j - 42. Let y(v) = 0. Calculate v.
-2, -1, 1
Suppose 6*c - 34 = -10. Suppose -12 = c*s, -2*m - m = 3*s + 9. Factor -1/4 + m*a**2 + 1/2*a**3 - 1/2*a + 1/4*a**4.
(a - 1)*(a + 1)**3/4
Let b = 3 + 0. Factor 2 - i - 2*i**2 - 2*i**3 + b*i + 0*i**3.
-2*(i - 1)*(i + 1)**2
Solve -6*w**2 - 3 + w**2 - 5*w**2 + 15*w - 2*w**2 = 0 for w.
1/4, 1
Let o(t) be the second derivative of -1/75*t**6 + 3/5*t**3 + 0*t**2 - 1/10*t**4 + 0 - 6*t - 1/10*t**5. Suppose o(p) = 0. What is p?
-3, 0, 1
Let q(z) be the third derivative of -z**8/112 + 2*z**7/35 - 3*z**6/20 + z**5/5 - z**4/8 - 5*z**2. What is s in q(s) = 0?
0, 1
Solve -4/7*u**4 + 16/7*u**2 - 8/7*u - 6/7*u**3 + 0 + 2/7*u**5 = 0.
-2, 0, 1, 2
Let m(h) be the first derivative of h**6/480 - h**5/120 + 3*h**2/2 + 3. Let o(c) be the second derivative of m(c). Determine d, given that o(d) = 0.
0, 2
Let f(g) be the first derivative of -g**5/50 - g**4/40 + g**3/30 + g**2/20 - 21. Factor f(s).
-s*(s - 1)*(s + 1)**2/10
Let n(l) be the first derivative of 0*l**2 - 4 - 1/3*l**3 + 1/4*l**4 + 0*l. Factor n(j).
j**2*(j - 1)
Let c(v) be the first derivative of 5/2*v**4 - 4*v**2 - 1 + 0*v + 16/3*v**3. Suppose c(y) = 0. What is y?
-2, 0, 2/5
Let t(a) = -3*a**3 + 29*a**2 - 5*a - 32. Let l(u) = -4*u**3 + 44*u**2 - 8*u - 48. Let o(b) = -5*l(b) + 8*t(b). Determine y so that o(y) = 0.
-1, 2
Suppose -v + 0 = 2, -5*w - 3*v = -4. Suppose -81*q + 27*q**2 - q**3 + 81 + w*q**3 - 4*q**3 = 0. What is q?
3
Find a, given that 0 + 10/3*a**4 - 35/3*a**3 + 20/3*a + 20/3*a**2 = 0.
-1/2, 0, 2
Let f(t) = -4*t**5 - 14*t**4 - 10*t**3 - 2*t**2 + 2*t. Let p(r) = r**5 + r. Suppose -2*g - 2 = 2. Let u(h) = g*p(h) + f(h). Factor u(s).
-2*s**2*(s + 1)**2*(3*s + 1)
Let t be 3*(-1)/(-6)*0. Let o(c) be the third derivative of 0*c + 1/30*c**5 - 1/105*c**7 + 0 - 2*c**2 + 0*c**4 + t*c**6 + 0*c**3. Factor o(h).
-2*h**2*(h - 1)*(h + 1)
Factor 0 + 1/4*f**2 + 1/4*f - 1/4*f**4 - 1/4*f**3.
-f*(f - 1)*(f + 1)**2/4
Let d = 55 + -50. Let k(o) be the third derivative of 0 + 1/12*o**4 + 0*o + 0*o**3 - 1/30*o**d - 2*o**2. Determine h so that k(h) = 0.
0, 1
Let b = -4 - -9. Suppose -16*v**4 + 16*v**b - 6*v**5 + 8*v - 7*v**3 + 16*v**2 - 11*v**3 = 0. What is v?
-1, -2/5, 0, 1, 2
Let i(m) be the second derivative of 0*m**2 + 1/18*m**4 + 1/60*m**5 + 4*m + 1/18*m**3 + 0. Suppose i(w) = 0. What is w?
-1, 0
Let y(d) be the first derivative of -d**4/2 - 2*d**3/3 + 6. What is c in y(c) = 0?
-1, 0
Let b be (-2 - -2)*(4 - 45/10). Find g such that 0 + g**3 + 1/4*g**4 - 1/4*g**2 + b*g - g**5 = 0.
-1, 0, 1/4, 1
Suppose 0 = 3*d - 5 - 4. Factor 11*n**3 + 0*n**4 - 6*n**2 - 11*n**d - 3*n**4 - 8*n**3 + 1.
-(n + 1)**3*(3*n - 1)
Let q(g) be the third derivative of g**5/180 + g**4/72 - 2*g**2 + 13*g. Suppose q(o) = 0. Calculate o.
-1, 0
Let h(u) be the first derivative of 3*u**5/25 - 7*u**4/10 + 23*u**3/15 - 8*u**2/5 + 4*u/5 + 7. Factor h(d).
(d - 2)*(d - 1)**2*(3*d - 2)/5
Suppose 0 = l + 4*l - 15. Factor 4*f**2 - l - 2*f**2 - 3 + f**2 - 3*f.
3*(f - 2)*(f + 1)
Determine r so that -2/3*r**3 - 2/3*r**4 - 2/9*r**2 + 0 + 0*r - 2/9*r**5 = 0.
-1, 0
Suppose -2*b + 3*b - 7 = 0. Let y(o) = -o + 10. Let q be y(b). Factor 2*s**4 - 2*s**2 + 3*s**q + 0*s**3 - s**4 + 4*s**4.
s**2*(s + 1)*(5*s - 2)
Let p(j) be the third derivative of j**5/80 + j**4/32 - 2*j**2. Factor p(w).
3*w*(w + 1)/4
Let x(w) = 6*w**3 - 12*w**2 + 24*w - 6. Let s(u) = -5*u**3 + 13*u**2 - 23*u + 7. Let p(b) = 3*s(b) + 2*x(b). Factor p(v).
-3*(v - 3)*(v - 1)**2
Let y be (6/2 + -3)/1. What is a in -2/3*a**3 + y*a + 0 + 4/3*a**2 = 0?
0, 2
Let r be 4 + ((-1440)/(-66))/(-6). Solve 4/11*f**2 - 2/11*f + 2/11*f**3 - r = 0.
-2, -1, 1
Factor 5*p**2 - 20 - 36*p + 36*p + 0*p**2.
5*(p - 2)*(p + 2)
Factor -4/5*l + 2/5*l**2 + 0 + 2/5*l**3.
2*l*(l - 1)*(l + 2)/5
Let g(i) be the second derivative of 0*i**2 - 1/60*i**6 + 0*i**4 + 0 + 4*i + 1/3*i**3 - 3/40*i**5. Solve g(m) = 0.
-2, 0, 1
Factor -4/5*d + 0 + 6/5*d**2 + 0*d**3 - 2/5*d**4.
-2*d*(d - 1)**2*(d + 2)/5
Let o = -67 + 67. Let d(i) be the second derivative of 1/6*i**4 - 1/20*i**5 + 2*i - 1/6*i**3 + 0*i**2 + o. Let d(p) = 0. Calculate p.
0, 1
Let c be (14 + -13)/(-2 - 9/(-2)). Factor c*f**2 + 12/5*f + 18/5.
2*(f + 3)**2/5
Let w(p) = p**3 - 7*p**2 - p + 10. Let k be w(7). Suppose 0 - 6 = -k*c. Factor s**4 + 3*s**3 + c*s**2 - 3*s**2 - 2*s**3 - s**5.
-s**2*(s - 1)**2*(s + 1)
Suppose n = s + 4*n + 5, 4*n + 12 = 4*s. Let w(l) be the first derivative of 3/4*l**2 - s - 1/8*l**4 - l + 0*l**3. Solve w(z) = 0.
-2, 1
Let w(v) be the second derivative of -13*v**6/6 + 6*v**5 + 215*v**4/12 + 5*v**3 + 44*v. Suppose w(p) = 0. Calculate p.
-1, -2/13, 0, 3
Let z(m) be the first derivative of -4/15*m**3 + 2/25*m**5 + 0*m**4 + 0*m**2 + 2/5*m - 2. Suppose z(w) = 0. What is w?
-1, 1
Let g = 249 - 246. Solve 0 + 2/7*o**4 - 2/7*o**2 + 0*o + 0*o**g = 0.
-1, 0, 1
Suppose 0 = 3*x - 8 - 4. Factor -2*u**3 + 2*u**2 + u**4 + 2*u - u**x - 2*u**4.
-2*u*(u - 1)*(u + 1)**2
Let k be ((-20)/525)/(-4) + 0. Let p(q) be the third derivative of k*q**6 + 4/21*q**3 + 0*q + 0 + 5/21*q**4 + q**2 + 17/210*q**5. Solve p(t) = 0.
-2, -1/4
Let 