 -2*b**3 + 18*b**2 + 24 + 3*b**3 - 4*b**3 - 36*b.
-3*(b - 2)**3
Let f(b) be the second derivative of -b**4/20 + b**3/10 + 2*b. Factor f(g).
-3*g*(g - 1)/5
Let n(a) = -2*a - 14. Let v be n(-10). Suppose v*m - 12 = 2*m. Factor -4 + 25*j**m - 5*j**2 - 8*j + 0*j - 8*j.
(j - 1)*(5*j + 2)**2
Suppose y + y + w = 2, y + 2*w - 4 = 0. Let l(z) be the second derivative of -2/15*z**3 + 1/10*z**4 + 2*z + y*z**2 + 0. Determine u so that l(u) = 0.
0, 2/3
Let q(u) be the second derivative of u**5/5 + 4*u**4/3 + 2*u**3 - 5*u - 5. Factor q(x).
4*x*(x + 1)*(x + 3)
Factor 0*k + 7*k**2 + 10*k**3 - 2 - 2 + 2*k + 9*k**2.
2*(k + 1)**2*(5*k - 2)
Let d(v) be the first derivative of 0*v - 2/3*v**3 + 3*v**2 - 4. Solve d(s) = 0.
0, 3
Let 8/3*u**3 + 2/3*u**4 - 2*u**2 + 0 - 12*u = 0. What is u?
-3, 0, 2
Let c(p) be the second derivative of -p + 1/63*p**7 + 1/30*p**5 + 0 + 0*p**4 + 0*p**2 - 2/45*p**6 + 0*p**3. Factor c(j).
2*j**3*(j - 1)**2/3
Let f = 3/338 + 163/676. Factor 5/4*d - f*d**4 + 1/2 - 1/4*d**3 + 3/4*d**2.
-(d - 2)*(d + 1)**3/4
Let g(w) be the second derivative of 0*w**2 + 0*w**4 + 0 + 1/21*w**3 - 2*w - 1/70*w**5. Factor g(y).
-2*y*(y - 1)*(y + 1)/7
Factor 73*h**2 - 112*h - h**3 + 88*h**2 - 35*h**3 - 41*h**2 + 32.
-4*(h - 2)*(3*h - 2)**2
Let u be 2 + 0/(2 - 1). Find l such that -2*l + u*l**2 + l**5 + 7*l - 2*l**4 - 6*l = 0.
-1, 0, 1
Let k be (3 - 835/275) + 4/10. Solve 2/11 - 2/11*m**4 + k*m**3 + 0*m**2 - 4/11*m = 0 for m.
-1, 1
Let -20/3*j**4 - 80/3*j**2 + 2/3*j**5 + 20*j**3 + 50/3*j - 4 = 0. Calculate j.
1, 6
Let l(c) be the third derivative of -c**2 - 1/3*c**4 + 0*c + 0 - 1/60*c**6 + 2/15*c**5 + 0*c**3. Solve l(y) = 0 for y.
0, 2
Let z(p) be the third derivative of 0 - 1/60*p**4 - 7*p**2 + 0*p - 1/30*p**3 - 1/300*p**5. Find a such that z(a) = 0.
-1
Let c(m) be the second derivative of m**6/135 + m**5/30 + m**4/27 - 16*m. Factor c(n).
2*n**2*(n + 1)*(n + 2)/9
Find b, given that 2/7*b**3 + 0 + 0*b - 4/7*b**2 + 2/7*b**4 = 0.
-2, 0, 1
Let f(w) = -2*w - 3. Let n be f(-3). Let g = 4 + -2. Factor -k**n + 3*k**3 - g*k + 0*k**3.
2*k*(k - 1)*(k + 1)
Let v(y) = -3*y**2 - 12*y - 7. Suppose -d - d = 4. Let t(l) = -48*l**2 - 192*l - 111. Let o(k) = d*t(k) + 33*v(k). Suppose o(m) = 0. What is m?
-3, -1
Suppose 3*z + z - 260 = 4*m, 0 = -2*z + 10. Let o be (-48)/m - 4/30. Factor -4/3*w - 2/3 - o*w**2.
-2*(w + 1)**2/3
Factor -3/2*s**2 + 9/2*s + 0.
-3*s*(s - 3)/2
Let v be 145/(-110) + 9/6. Let 0 + 2/11*m**4 + v*m**2 + 0*m + 4/11*m**3 = 0. What is m?
-1, 0
Let g(p) be the first derivative of -2*p**5/55 + p**4/22 + 14*p**3/33 - 13*p**2/11 + 12*p/11 + 13. Find l, given that g(l) = 0.
-3, 1, 2
Let b = -3 + 5. Find s, given that -s - s**3 - 14*s + s - 6*s**2 - 8 + b*s = 0.
-2
Let m = 54 - 54. Factor 1/2*g**3 - 2*g**2 + m + 2*g.
g*(g - 2)**2/2
Let v(s) be the second derivative of s**7/14 - 3*s**6/10 + 3*s**5/10 + s**4/2 - 3*s**3/2 + 3*s**2/2 + 38*s. Solve v(j) = 0 for j.
-1, 1
Let s(i) = 12*i**2 - 2*i - 4. Let c(u) = 5*u**2 + 3. Let d(g) = 6*g**2 + 4. Let k(q) = -5*c(q) + 4*d(q). Let j(h) = 4*k(h) + s(h). Factor j(n).
2*n*(4*n - 1)
Let i = -167/203 - 138017/1015. Let g = -658/5 - i. Suppose g*w**2 + 12/5*w**3 + 24/5*w + 2/5*w**4 + 8/5 = 0. Calculate w.
-2, -1
Suppose -166*a - 2*a**5 + 166*a = 0. What is a?
0
Let -2 - 4 - 3*i - 5 - i**2 + 9 = 0. What is i?
-2, -1
Suppose 3*y = 6, -4*x - 2*y = -6*y. Let f = 1235/24 + -345/8. Find t, given that 104/3*t**3 + f*t**x + 0 + 2/3*t + 48*t**4 = 0.
-1/4, -2/9, 0
Let g be ((-51)/170)/(12/(-10)). Factor g + 1/4*v**2 + 1/2*v.
(v + 1)**2/4
Solve 1/3*c**2 + 0 - c = 0.
0, 3
Factor 8*h**3 - 9*h**2 + 5*h**2 - 2*h**4 + 8 - 8*h - h**2 - h**2.
-2*(h - 2)**2*(h - 1)*(h + 1)
Suppose -37*q = -38*q. Let k(w) be the first derivative of -1/6*w**3 + 0*w**2 + 2 - 1/12*w**6 + q*w - 3/10*w**5 - 3/8*w**4. Let k(s) = 0. What is s?
-1, 0
Let g = -83 + 31. Let d be 8/g - (-123)/39. Find h such that -8/5*h - 4/5*h**d + 2/5 + 2*h**2 = 0.
1/2, 1
Let a be 1/(-4) + (-7)/(-28). Factor 0*f**2 - 1/2*f**3 + a*f + 0 + 7/4*f**4.
f**3*(7*f - 2)/4
Let i(k) = 3*k**2 + 4*k + 5. Let x be ((-4)/2)/((-4)/14). Let t(s) = -5*s**2 - 7*s - 9. Let u(f) = x*i(f) + 4*t(f). Factor u(c).
(c - 1)*(c + 1)
Let -8/3*w**3 - 4/3*w**2 + 0 - 4/3*w**4 + 0*w = 0. What is w?
-1, 0
Factor -5/3*a**4 - 5/3*a**5 + 0 + 25/3*a**3 + 0*a - 5*a**2.
-5*a**2*(a - 1)**2*(a + 3)/3
Let p = 5 - -2. Solve -2*a**2 - 34*a - 19*a**2 + p*a - 3 - 3 = 0 for a.
-1, -2/7
Let k be 36/(-1296) + 2/24. Let x(q) be the third derivative of -1/180*q**5 + 1/72*q**4 + 0 + k*q**3 - 1/360*q**6 + 0*q - 2*q**2. Determine p so that x(p) = 0.
-1, 1
Let s(a) = -a**5 + a**4 - a**3 + a**2 + a. Let p(j) = -6*j**5 + 9*j**4 - 3*j**2 + 3*j. Let l(f) = -p(f) + 3*s(f). Factor l(n).
3*n**2*(n - 2)*(n - 1)*(n + 1)
Let k(f) be the third derivative of f**7/105 - f**6/20 + f**5/10 - f**4/12 + 4*f**2 - 6*f. Factor k(d).
2*d*(d - 1)**3
Suppose r + 20 = 3*r. Let m = -7 + r. Determine w, given that 0*w**2 + 0 - 1/3*w**m + 0*w = 0.
0
Let n(q) = q**3 - q - 1. Let h(o) = 7*o**3 - 6*o**2 - 15*o - 11. Let x(i) = 2*h(i) - 18*n(i). Factor x(k).
-4*(k + 1)**3
Factor -2*w**5 + 2*w**4 + 3*w**3 + 3*w**5 + w**4 - 3*w**2 - 4*w**5.
-3*w**2*(w - 1)**2*(w + 1)
Let z = 8 - 6. Determine m so that 2/7*m**3 + 0 - 2/7*m**z + 0*m = 0.
0, 1
Determine o, given that 2*o**2 + 0*o + 6*o - 8*o = 0.
0, 1
Factor -16*h**2 - 60*h + 9*h**2 - 45 - 13*h**2.
-5*(2*h + 3)**2
Let l = 57 - 33. Let h be (3/2)/(12/l). Factor j + 2/5 - 2/5*j**2 - j**h.
-(j - 1)*(j + 1)*(5*j + 2)/5
Let o(a) be the first derivative of 2*a**6/3 + 4*a**5/5 - a**4 - 4*a**3/3 + 9. Solve o(c) = 0.
-1, 0, 1
Let j(f) be the first derivative of 3*f**4/16 + 4*f**3 + 87*f**2/8 + 21*f/2 - 27. Suppose j(u) = 0. Calculate u.
-14, -1
Let o = 44 + -658/15. Factor 0*c + o - 2/15*c**2.
-2*(c - 1)*(c + 1)/15
Suppose 11*o + 557 = 590. Determine f so that -18/7*f**o + 0 - 1/7*f**5 - 8/7*f + f**4 + 20/7*f**2 = 0.
0, 1, 2
Find f such that -60*f**3 + 9*f + 8*f + 8*f**2 - 10*f**5 + 46*f**4 - f = 0.
-2/5, 0, 1, 2
Factor 0 + 6*b**5 - 15*b**2 + 0 + 24*b**3 + 2*b - 20*b**4 + 3*b**2.
2*b*(b - 1)**3*(3*b - 1)
Let m(q) be the first derivative of -2*q**3/15 + 3*q**2/5 + 4*q + 14. Factor m(c).
-2*(c - 5)*(c + 2)/5
Factor 3/4*y + 1/2 + 1/4*y**2.
(y + 1)*(y + 2)/4
Let b be (-2)/5 + (-36)/10. Let a be (-2)/b + (-10)/(-28). Factor -2/7*c - a*c**3 + 0 - 6/7*c**2 - 2/7*c**4.
-2*c*(c + 1)**3/7
Let f(q) = -q**3 - 9*q**2 - 9*q - 3. Let u be f(-8). Let b = -5 + u. Suppose -2/5*o**2 + b - 4/5*o = 0. What is o?
-2, 0
Let z(d) be the first derivative of d**4/14 - d**2/7 + 2. Solve z(s) = 0.
-1, 0, 1
Let k(b) be the second derivative of -b**7/49 - 11*b**6/105 - 11*b**5/70 - b**4/42 + 2*b**3/21 - b + 13. Determine x, given that k(x) = 0.
-2, -1, 0, 1/3
Let d(t) be the third derivative of 11/300*t**5 + 0*t - 2*t**2 - 1/15*t**3 - 1/24*t**4 + 0 - 1/150*t**6. What is j in d(j) = 0?
-1/4, 1, 2
Let a = -299/2 - -150. Suppose -1/4*d**5 + d**3 + 0 - a*d**4 - 3/4*d + 1/2*d**2 = 0. Calculate d.
-3, -1, 0, 1
Let x(t) be the third derivative of -t**8/168 + 2*t**7/105 - t**5/15 + t**4/12 + 11*t**2. Factor x(z).
-2*z*(z - 1)**3*(z + 1)
Let t = -19 - -37. Let w be 3/t - (-22)/12. Suppose 3 + 9*i**3 - 2*i**2 + 1 - 2*i - w - 7*i = 0. What is i?
-1, 2/9, 1
Let f be ((-2)/(-3))/((-12)/(-90)). What is g in g - g**2 - f*g + 4*g = 0?
0
Factor 4*p**3 - 12 + 5*p**2 + 9*p**2 - 4*p + 0*p - 2*p**2.
4*(p - 1)*(p + 1)*(p + 3)
Let b(s) = s**2 + 3. Let h(q) = -2. Let a(v) = 1. Let j(w) = -a(w) - h(w). Let z(y) = 2. Let d(c) = -12*j(c) + 5*z(c). Let f(o) = 2*b(o) + 3*d(o). Factor f(g).
2*g**2
Let p = -35 + 35. Let d(v) be the third derivative of -1/20*v**5 + 0*v**3 + 0 + p*v - v**2 - 1/24*v**4. What is y in d(y) = 0?
-1/3, 0
Let j be 5*(-6)/(-15) - -1. Let q(p) be the first derivative of 0*p**2 + 0*p + 0*p**j + 1/12*p**4 + 1/15*p**5 - 1. Factor q(d).
d**3*(d + 1)/3
Let p(i) = -i**3 - 4*i**2 - 2*i - 3. Let c be p(-4). Factor -2*w**5 + 6*w**c - 2*w**5.
2*w**5
Let q = -44/19 + 107/38. Factor q*x - 1/2*x**3 + 1/2*x**2 - 1/2.
-(x - 1)**2*(x + 1)/2
Let g(d) = d**2 + 9*d + 8. Let i be g(-7). Let v(c) = c**2 + 1. Let n(t) = -5*t**2 + t - 6. Let r(a) = i*v(a) - n(a). Solve r(y) = 0.
-1, 0
Let u(q) be the third derivative of q**6/150 - q**5/75 - q**4/30 + 2*q**3/15 - 5*q**2. Factor u(n).
4*(n - 1)**2*(n + 1