-3*q**2*(q - 1)/7
Let k(j) = 0*j**2 + 5*j**2 - 6*j**3 + 3*j**3 + 0*j**3. Let c(b) = -16*b**3 + 26*b**2 + b. Let a(z) = -4*c(z) + 22*k(z). Factor a(m).
-2*m*(m - 2)*(m - 1)
Let b(r) = -2 - r**2 + 3*r + 3 - 9*r**3 - r**4 - 8 + 6*r. Let n(c) = 2*c**4 + 10*c**3 + 2*c**2 - 10*c + 8. Let k(i) = 4*b(i) + 3*n(i). Factor k(g).
2*(g - 2)*(g - 1)**2*(g + 1)
Let b(z) = -30*z**4 + 23*z**3 + 607*z**2 + 235*z + 5. Let n(a) = 75*a**4 - 57*a**3 - 1518*a**2 - 588*a - 12. Let y(h) = 12*b(h) + 5*n(h). Factor y(s).
3*s*(s - 5)*(s + 4)*(5*s + 2)
Suppose 2*o - 4*g = 4 + 8, 0 = -2*o - 3*g + 47. Let n = o - 14. Factor -6 + 2*f**n + 0 + 0 + 4*f.
2*(f - 1)*(f + 3)
Let n(d) be the first derivative of -d**3 - 3*d**2 + 9*d - 276. Factor n(j).
-3*(j - 1)*(j + 3)
Let w(n) be the first derivative of -n**4/9 - 44*n**3/27 - 26*n**2/3 - 20*n - 665. Suppose w(j) = 0. Calculate j.
-5, -3
Suppose -1 - 1 = -h. Suppose h*x + x = 6. Factor x*a + 4*a**2 - 7*a**2 - 2*a - 3*a.
-3*a*(a + 1)
Let l(z) be the second derivative of 2/3*z**3 + 0 - 5/2*z**4 - 10*z + 0*z**2. Factor l(q).
-2*q*(15*q - 2)
Find f such that -51/2*f**2 - 3/2*f**3 - 93/2*f - 45/2 = 0.
-15, -1
Let j(v) be the first derivative of -3/4*v - 1/2*v**3 - 3/8*v**4 + 9/20*v**5 - 1/8*v**6 + 13 + 9/8*v**2. Suppose j(f) = 0. What is f?
-1, 1
Let t = -11 + 16. Suppose -10*p - 5*p**4 - 2 - p**4 - 20*p**3 + 0*p**5 - 20*p**2 - 2*p**t - 4*p**4 = 0. What is p?
-1
Suppose 5 = -5*g + 3*c, -c + 2 + 1 = -2*g. Let v(x) = -12*x. Let s be v(g). Factor 16 + 0*y**4 - s*y**3 + 88*y**2 + 6*y**4 - 64*y - 2*y**4 + 5*y**4.
(y - 2)**2*(3*y - 2)**2
Let z = 139 + -137. Suppose -4*h**3 - 8*h**2 - 4*h**z + 3*h**2 + h**2 = 0. What is h?
-2, 0
Let p(g) be the third derivative of -1/630*g**7 + 0*g + 0 - 12*g**2 - 1/180*g**6 - 2/9*g**3 + 1/60*g**5 + 1/18*g**4. Factor p(i).
-(i - 1)**2*(i + 2)**2/3
Let h be (-29)/24 - (-8)/24*4. Let k(t) be the first derivative of h*t**4 - 1/10*t**5 + 0*t**3 + 0*t**2 + 0*t + 4. Factor k(f).
-f**3*(f - 1)/2
Let l be 2 + (1 - 5) - -6. Let 15*d**4 - 51*d - 3*d**5 + d**4 + 84*d**2 + 8*d**l - 66*d**3 + 12 = 0. Calculate d.
1, 4
What is c in 4/5 - 2/5*c**3 + 6/5*c + 0*c**2 = 0?
-1, 2
Let y(q) = 4 + 3 + 2 - 10. Let o(t) = -5*t**4 + 25*t**3 - 30*t**2 + 1. Let n(c) = o(c) + y(c). Find m such that n(m) = 0.
0, 2, 3
Let l(c) be the first derivative of 0*c - 20 - 2/33*c**3 - 6/11*c**2. Factor l(d).
-2*d*(d + 6)/11
Let x(j) be the first derivative of 2*j**4/9 + 50*j**3/27 + 38*j**2/9 + 16*j/9 + 132. Factor x(o).
2*(o + 2)*(o + 4)*(4*o + 1)/9
Suppose 0 = 278*i - 295*i. Let h(u) be the third derivative of 1/90*u**5 + i*u**3 + 0 - 1/36*u**4 + 0*u + 4*u**2. Find b such that h(b) = 0.
0, 1
Suppose 4*w = -2*w + 18. Factor 18*x - w*x**2 + 14 + 6*x**2 + 0*x + 13.
3*(x + 3)**2
Let o = 22 + -16. Find a such that -o*a + 2*a**3 + 2*a**2 + 0*a + 4*a - 2 = 0.
-1, 1
Let z(r) = 13*r**3 - 2*r**2 - r + 1. Let g be z(1). Factor 12*k + 12*k**2 - 5*k**3 + g*k**3 - 2*k**3 + 4.
4*(k + 1)**3
Let y(b) = 27 - 13 + 10 - 12*b - 8*b. Let j(k) = k**2 - 60*k + 73. Let h(c) = 2*j(c) - 7*y(c). Factor h(l).
2*(l - 1)*(l + 11)
Let v = -3 + 5. Find y such that 33*y**3 + 4*y**v - y - 13*y**3 + 8 - 12*y**4 - 19*y = 0.
-1, 2/3, 1
Let d = -7 - -12. Let x(v) = 9*v**2 - 8*v + 7. Let h(n) = 11*n**2 - 9*n + 8. Let z(o) = d*x(o) - 4*h(o). Factor z(g).
(g - 3)*(g - 1)
Let l(d) be the third derivative of 1/48*d**4 + 1/24*d**3 + 0 + 4*d**2 + 0*d + 1/240*d**5. Factor l(j).
(j + 1)**2/4
Let p be 5/(-2)*(-8)/(-10) - -2. Suppose 2*k + 3*w = -p*k + 6, -4*k = 2*w - 12. Factor -2/7 - 2/7*l**k + 2/7*l + 2/7*l**2.
-2*(l - 1)**2*(l + 1)/7
Let m be 917*4/154 + (-2)/(-11). Suppose -m*q = -17*q. Factor -2*r**2 - 4/3*r + 0 + q*r**3 + 2/3*r**4.
2*r*(r - 2)*(r + 1)**2/3
Let u(v) be the first derivative of 16/3*v + 3 + 4/9*v**3 - 8/3*v**2. Factor u(f).
4*(f - 2)**2/3
Suppose 134 + 4*d**3 + 36*d**2 - 37 - 102*d + 239 - 154*d = 0. Calculate d.
-14, 2, 3
Let t be -13*(0 - 1) - 1. Suppose -g + 0*g = t*g. Solve 0 + g*i - 2/9*i**3 - 2/9*i**2 = 0.
-1, 0
Let y(b) be the first derivative of -2/3*b**4 + 1/30*b**6 + 0*b - 16/3*b**3 + 2/15*b**5 - 3 + 2*b**2. Let x(t) be the second derivative of y(t). Factor x(v).
4*(v - 2)*(v + 2)**2
What is r in 9/7*r**2 - 6/7 - 3/7*r**3 - 3/7*r**4 + 3/7*r = 0?
-2, -1, 1
Let p(u) be the third derivative of 0 + 0*u - 5/84*u**4 - 1/30*u**5 + 2/21*u**3 + 32*u**2. Factor p(l).
-2*(l + 1)*(7*l - 2)/7
Let o be (-2 + 8/5)*180/(-360). Factor o*h**2 + 2*h + 8/5 - 1/5*h**3.
-(h - 4)*(h + 1)*(h + 2)/5
Suppose -5*u + 5 = 0, 3*a - 2*u + u - 38 = 0. Factor -10*k**3 + 3*k**2 + 2*k**2 - 5*k - 5 + 2*k + a*k.
-5*(k - 1)*(k + 1)*(2*k - 1)
Suppose -120 = -38*u + 8*u. Let f(s) be the third derivative of -1/18*s**3 + 0 + 1/180*s**5 + 1/72*s**u + 0*s + s**2 - 1/360*s**6. Factor f(j).
-(j - 1)**2*(j + 1)/3
Let s = 186901/75 - 2492. Let u(w) be the second derivative of 0*w**2 + 1/100*w**5 + 0*w**3 - w + 0 + 1/210*w**7 + 0*w**4 + s*w**6. Suppose u(n) = 0. What is n?
-1, 0
Let g(y) = 3*y + 8. Let w be g(-2). Factor 3*j**2 - 50*j + j**w + 8 + 37*j + 25*j.
4*(j + 1)*(j + 2)
Let d be 84/(-24)*12/(-7). Let z = 6 - d. Suppose 2/3*u**4 - 2/3*u**2 + z + 2/3*u**5 - 2/3*u**3 + 0*u = 0. Calculate u.
-1, 0, 1
Suppose -96*p - 4 = -97*p. Solve 28*o**3 - 43*o**3 - o**4 + 6*o**5 + 4*o**4 + 2*o**2 + p*o**2 = 0 for o.
-2, 0, 1/2, 1
Factor -49/3*r + 0 + 1/3*r**2.
r*(r - 49)/3
Let j(q) = -37*q - 1070. Let z be j(-29). What is x in 1 - 1/2*x - x**2 + 1/2*x**z = 0?
-1, 1, 2
Let f(d) be the second derivative of -d**6/30 + 13*d**5/45 - 8*d**4/9 + 8*d**3/9 + 9*d**2 + 15*d. Let m(x) be the first derivative of f(x). Factor m(p).
-4*(p - 2)**2*(3*p - 1)/3
Suppose 14*v - 8 = 10*v. Find i, given that 209 - i**v + i**3 - 209 = 0.
0, 1
Let c be (-1)/(5/(-3))*560/(-1140). Let q = 2/19 - c. Suppose 2/5*d**2 - 2/5*d**3 - 2/5 + q*d = 0. Calculate d.
-1, 1
Let g = -49 - -52. Let t = 378 + -368. Factor 6 + t*x + 2/3*x**g + 14/3*x**2.
2*(x + 1)*(x + 3)**2/3
Let y(w) be the first derivative of 2*w**3/33 + 19*w**2/11 + 36*w/11 + 136. Solve y(t) = 0.
-18, -1
Let k = 3743 + -3740. Factor 4/9*a**k + 4/9*a**2 - 4/9*a - 4/9*a**4 + 0.
-4*a*(a - 1)**2*(a + 1)/9
Let 6*z**2 - 9*z**3 + 36*z + 398 + 2*z**4 - 374 - 5*z**4 = 0. Calculate z.
-2, -1, 2
Let b(s) = 3*s**2 - 603*s + 11557. Let u(r) = r**2 - 301*r + 5779. Let t(h) = -3*b(h) + 5*u(h). Solve t(v) = 0.
38
Let m(k) = k**2 - 64 - 70 + 2*k + 129. Let g be m(-4). Find c, given that -2/3*c**5 + 4/3*c**2 + 2/3*c**g - 4/3*c**4 + 0*c + 0 = 0.
-2, -1, 0, 1
Let p(l) be the third derivative of -l**8/8400 - l**7/2100 + l**5/300 + l**4/120 + 3*l**3 + 5*l**2. Let n(t) be the first derivative of p(t). Factor n(z).
-(z - 1)*(z + 1)**3/5
Factor -8965*t - 5 + 8935*t + 5*t**2 + 4 + 30*t**3 - 5*t**4 + 1.
-5*t*(t - 6)*(t - 1)*(t + 1)
Factor -1/3 + 13/9*n - 10/9*n**2.
-(n - 1)*(10*n - 3)/9
Find u, given that 16/15*u**4 - 4/15*u**3 + 0 - 32/3*u**2 - 2/15*u**5 + 10*u = 0.
-3, 0, 1, 5
Suppose -75*v = -78*v + 12. Let y(i) be the third derivative of 0 + 1/5*i**3 - 1/100*i**5 + 0*i - 1/40*i**v + 4*i**2. Solve y(b) = 0 for b.
-2, 1
Let g(b) = b + 22. Let o be g(-22). Let l(r) be the third derivative of 0*r + 2/105*r**5 + o*r**3 + 3*r**2 - 1/84*r**4 + 0. Solve l(y) = 0 for y.
0, 1/4
Factor -1/8*l**3 - 5*l**2 + 0 + 41/8*l.
-l*(l - 1)*(l + 41)/8
Suppose -5*h = -15*h + 250. Factor -3*f**3 - 50*f + 29*f**2 + 0 - 15*f - h.
-(f - 5)**2*(3*f + 1)
Suppose 253*a + 17*a + 22*a = 0. Factor -2/11*t**3 + 0 + a*t + 2/11*t**2.
-2*t**2*(t - 1)/11
Let v(r) = -119*r**3 + r**2 - 2*r - 1. Let a be v(-1). Factor -5*q - 4*q**2 - a + 131 - q**2.
-5*(q - 1)*(q + 2)
Let k(q) be the first derivative of 2 - 1/20*q**5 - 1/12*q**4 + 0*q**3 + 0*q**2 - 3*q. Let i(o) be the first derivative of k(o). Find j, given that i(j) = 0.
-1, 0
Let o(v) = -3*v**3 + 8*v**2 + 8*v. Let x be o(-1). Let i(r) be the second derivative of 7/10*r**5 + 20/3*r**3 + 0 - x*r - 4*r**2 - 23/6*r**4. Factor i(g).
2*(g - 2)*(g - 1)*(7*g - 2)
Let m(x) be the second derivative of x**5/30 - x**3/3 - x**2/2 + 13*x. Let p(u) be the first derivative of m(u). Factor p(h).
2*(h - 1)*(h + 1)
Let g = 4/215 - -684/215. Let o be 234/35 + (-4)/14. Solve o*u**3 + 2/5*u + g*u**2 + 0 = 0 for u.
-1/4, 0
Let r(q) be the third derivative of 0*q + 1/42*q**4 - 7*q**2 + 1/180*q**6 + 0 + 3/140*q**5 - 3/2*q**