c**2.
(c - 2)**2*(c + 1)**2/3
Let s(z) = z**2 - 6*z + 3. Let i be s(6). Let b(f) = f**2 - 4*f + 3. Let n be b(3). Factor n*k**3 - 3 + 3*k**2 + k**i - 1.
(k - 1)*(k + 2)**2
Let i(m) = -2*m**3 + 24*m**2 - 20*m + 2. Let v(b) = -9*b**3 + 120*b**2 - 100*b + 11. Let l(z) = -11*i(z) + 2*v(z). Factor l(r).
4*r*(r - 5)*(r - 1)
Let n = 4/3 + -8/15. Determine p, given that -n*p**2 - 2/5*p + 2/5*p**4 + 2/5 + 4/5*p**3 - 2/5*p**5 = 0.
-1, 1
Let b(q) be the third derivative of q**6/210 + 8*q**5/105 + 8*q**4/21 - 7*q**2. Factor b(m).
4*m*(m + 4)**2/7
Let u = 72 + -70. Factor -2/3*k**3 + 2/3*k + 0 - 2/3*k**u + 2/3*k**4.
2*k*(k - 1)**2*(k + 1)/3
Find u such that 0 - 4/3*u**3 - 2/3*u**4 + 2/3*u**5 + 0*u + 0*u**2 = 0.
-1, 0, 2
Suppose 16*s = 14*s + 10. Factor -2/5*x**s + 0*x + 2/5*x**3 + 0 + 2/5*x**4 - 2/5*x**2.
-2*x**2*(x - 1)**2*(x + 1)/5
Let h(w) = -w**2 - 4*w. Let b be (1 - -1)*(-6)/4. Let i be h(b). Factor 2/9*d**4 - 2/9*d**2 + 0*d + 0*d**i + 0.
2*d**2*(d - 1)*(d + 1)/9
Let n(g) be the first derivative of -9/4*g**4 + 0*g - 3/5*g**5 - 3*g**3 - 3/2*g**2 + 6. Factor n(j).
-3*j*(j + 1)**3
Let u = 5 - 8. Let k be u/(-9) + 98/30. Let -39/5*i**2 - 36/5*i - k*i**3 - 3/5*i**4 - 12/5 = 0. Calculate i.
-2, -1
Let s(l) be the third derivative of l**6/540 - l**5/90 + l**4/36 - l**3/2 + 3*l**2. Let z(k) be the first derivative of s(k). Solve z(p) = 0 for p.
1
Let w(l) be the third derivative of -l**8/2016 - l**7/1260 - l**5/60 - l**2. Let k(s) be the third derivative of w(s). Solve k(a) = 0.
-2/5, 0
Suppose 6/7*o + 4/7*o**2 + 2/7 = 0. What is o?
-1, -1/2
Let r be 2456/(-3680) + (-1)/(-4). Let x = -2/115 - r. Suppose 0 - x*u**4 + 0*u**2 + 8/5*u - 6/5*u**3 = 0. Calculate u.
-2, 0, 1
Suppose 0 = 9*h - 16*h + 14. Let x = 32 - 95/3. Find f, given that -1/3*f + x*f**h - 2/3 = 0.
-1, 2
Let m(i) = 2*i + 2. Let x be m(2). Let d be ((x/4)/(-1))/(-6). Suppose 1/4*c**4 + d*c**5 - 1/4*c**3 - 1/4*c**2 + 0*c + 0 = 0. Calculate c.
-1, 0, 1
Find f, given that -3*f**4 + 10*f**2 - 10*f - 15*f**2 + 10*f**3 + 8*f**4 = 0.
-2, -1, 0, 1
Factor -30*d - 33*d**3 + 48*d**4 - 23*d**3 + 3 + 99*d**2 - 44*d**3 - 20*d**3.
3*(d - 1)**2*(4*d - 1)**2
Let k(a) be the first derivative of 1/3*a**3 - 2*a + 1 + 1/12*a**4 + 1/2*a**2. Let u(n) be the first derivative of k(n). Let u(l) = 0. Calculate l.
-1
Let t(r) be the first derivative of -3*r**5/20 + 11*r**4/16 - r**3 + r**2/2 + 3. Factor t(j).
-j*(j - 2)*(j - 1)*(3*j - 2)/4
Let t = -29 - -34. Let r(q) be the second derivative of 1/20*q**4 + 2*q - 1/30*q**3 + 1/150*q**6 + 0 + 0*q**2 - 3/100*q**t. Factor r(i).
i*(i - 1)**3/5
Suppose 5*t - 2*t - 12 = 0. Factor 4*n**4 + 0*n**t - 3*n**3 - n**4.
3*n**3*(n - 1)
Let d(n) be the third derivative of -n**2 + 0*n - 1/21*n**3 - 1/210*n**5 + 0 - 1/42*n**4. What is x in d(x) = 0?
-1
Suppose -96/5*n + 44/5*n**2 - 4/5*n**3 - 144/5 = 0. Calculate n.
-1, 6
Factor 16/3 - 4/3*j**2 + 4/3*j**3 - 16/3*j.
4*(j - 2)*(j - 1)*(j + 2)/3
Suppose -64 = 4*j - 4*y, 4*j - 7*y + 59 = -2*y. Let i = -18 - j. Factor -1/4*c**4 + 0 - c**i - 5/4*c**2 - 1/2*c.
-c*(c + 1)**2*(c + 2)/4
Let 4*x - 9*x**2 + 48*x**4 - 4*x**3 - 18*x**4 - 21*x**4 = 0. Calculate x.
-1, 0, 4/9, 1
Let m = -758 + 763. Find l such that 0*l + 1/3*l**2 + 2/3*l**4 + 0 + 1/6*l**m + 5/6*l**3 = 0.
-2, -1, 0
Suppose -5*y + 6 = -3*y - v, 2*v + 2 = -y. Find f, given that 0*f - 2/11*f**y + 2/11 = 0.
-1, 1
Let t(h) be the first derivative of -h**4/16 - h**3/4 - 3*h**2/8 - h/4 - 1. What is o in t(o) = 0?
-1
Let x = -2 + -7. Let b(f) = -f**2 - 9*f. Let y be b(x). Factor -2/7*s**3 + 2/7*s**5 + 2/7*s**4 + y*s + 0 - 2/7*s**2.
2*s**2*(s - 1)*(s + 1)**2/7
What is l in -10*l**3 - l**4 + l**2 + 10*l**3 = 0?
-1, 0, 1
Let n(c) be the first derivative of -2*c - 2*c**2 - 2/3*c**3 + 3. Find y such that n(y) = 0.
-1
Suppose -4*p**2 - 6*p**2 - 23*p + 6*p**2 + 3*p - 16 = 0. What is p?
-4, -1
Let p = 4098/7 + -585. Solve -6/7*h - p*h**2 + 9/7 = 0 for h.
-3, 1
Let l(h) = 9*h**5 + 4*h**4 + 4*h**3 + 4*h. Let c(d) = 10*d**5 + 5*d**4 + 5*d**3 + 5*d. Let s(i) = 4*c(i) - 5*l(i). Factor s(g).
-5*g**5
Let b(l) be the third derivative of 0 + 1/330*l**5 + 0*l - 1/33*l**3 - 3*l**2 + 0*l**4. Factor b(o).
2*(o - 1)*(o + 1)/11
Let a = -297/56 - -45/7. Let i(y) be the second derivative of 0 - a*y**4 - 4*y - 1/120*y**6 + 9/2*y**3 + 3/20*y**5 - 81/8*y**2. Let i(s) = 0. Calculate s.
3
Let m(g) = -2*g**4 - 12*g**2 - 4*g + 6. Let s(f) = f**3 + f**2 + f - 1. Let c(b) = -m(b) - 6*s(b). Factor c(t).
2*t*(t - 1)**3
Suppose -6 = -2*f, 0*v + 38 = v + 5*f. Let a = 70/3 - v. Factor -a*x - x**2 + 0.
-x*(3*x + 1)/3
Let d(r) = -r**3 - 11*r**2 - 11*r - 8. Let j be 10/1*(-4 + 3). Let u be d(j). Suppose 1/3*s**u + 0*s - 1/3 = 0. Calculate s.
-1, 1
Let c = -3/307 - -635/2149. Suppose c*m**2 + 4/7*m + 0 = 0. Calculate m.
-2, 0
Solve -2*n**2 + 14/3*n - 4/3 = 0 for n.
1/3, 2
Suppose 3*x + 2*x - 10 = 0. Find l, given that -8 - x*l**2 + 4*l + 8 = 0.
0, 2
Let p(r) be the second derivative of -r**6/1800 - r**5/200 - r**4/60 + r**3 + r. Let h(l) be the second derivative of p(l). Factor h(z).
-(z + 1)*(z + 2)/5
Solve -10/11*o**3 + 4/11 - 14/11*o + 18/11*o**2 + 2/11*o**4 = 0.
1, 2
Let w(p) be the first derivative of -1/9*p**3 - 3 + 0*p + 0*p**2. What is h in w(h) = 0?
0
Let n be 33/55 + (-4)/(-10). Let i(v) = -4*v**2 + 3*v - 1. Let x(j) = j**2 + j - 1. Let g(t) = n*x(t) - i(t). Factor g(b).
b*(5*b - 2)
Suppose -4*o = -3*p - 3*o + 8, -5*p - o + 8 = 0. Solve -1 - 6*l + 6 - 4 + 3 + 2*l**p = 0.
1, 2
Let p(h) be the first derivative of h**5/120 - h**4/24 + h**3/12 + 3*h**2/2 - 3. Let s(x) be the second derivative of p(x). Factor s(z).
(z - 1)**2/2
Suppose 81*w - 5*w - 228 = 0. Let b(k) = -k - 2. Let m be b(-4). Solve 4/3*v**5 - 2/3*v - 1/3*v**4 - 4*v**w + 0 + 11/3*v**m = 0.
-2, 0, 1/4, 1
Let j(o) be the first derivative of 4*o**6 + 132*o**5/5 - 501*o**4/8 + 13*o**3/2 + 129*o**2/4 + 21*o/2 + 15. Solve j(r) = 0.
-7, -1/4, 1
Suppose 0 = -2*n - 2*n. Factor 2*h**4 + 6*h**2 - 8*h - 6*h**3 + n*h**3 + 6*h.
2*h*(h - 1)**3
Let f(g) = 5*g**2 - g + 2. Let q(m) = -3*m**2 - 3 - 2*m**2 + m + 0 - m**2. Let u(a) = 5*f(a) + 4*q(a). Factor u(l).
(l - 2)*(l + 1)
Let p = -4 - -7. Factor 3*u + 1 - u**5 + 0*u**2 + 2*u**2 - 2*u**p - 4*u**4 - 2*u**4 + 3*u**4.
-(u - 1)*(u + 1)**4
Let n(f) be the second derivative of f**8/16800 + f**7/3150 + f**6/1800 + f**4/3 + 5*f. Let z(p) be the third derivative of n(p). Solve z(a) = 0.
-1, 0
Let r = 593/2324 - 3/581. Suppose -r*m**3 + 1/4 - 1/4*m**2 + 1/4*m = 0. What is m?
-1, 1
Let h(z) = 2*z + 7. Let k be h(-5). Let q be ((-1)/(-6))/(k/(-12)). Factor 2*b**2 + 2/3 - 2*b - q*b**3.
-2*(b - 1)**3/3
Suppose 5*g - 2*v = -0*v - 8, g = 5*v - 20. What is w in 0*w + 1/2*w**3 + w**2 + g = 0?
-2, 0
Let r(f) = -f**3 + 3*f**2 + 2*f - 2. Let m be r(3). Factor -18/7*y**m + 0 + 6/7*y**3 + 4/7*y**2 + 0*y.
-2*y**2*(3*y - 2)*(3*y + 1)/7
Let h(w) be the first derivative of -w**3/6 + 2*w**2 + 24. Solve h(v) = 0.
0, 8
Let y(b) be the third derivative of b**7/1260 + b**6/90 + b**5/15 - b**4/12 - b**2. Let h(d) be the second derivative of y(d). Factor h(u).
2*(u + 2)**2
Let f(t) = t**4 + 16*t**3 - 39*t**2 - 16*t + 24. Let a(s) = 8*s**3 - 20*s**2 - 8*s + 12. Let n(y) = 7*a(y) - 4*f(y). What is g in n(g) = 0?
-3, -1, 1
Factor 0 + 6/7*m**2 - 1/7*m.
m*(6*m - 1)/7
Solve -12/7 + 3/7*y**3 + 3/7*y**2 - 12/7*y = 0.
-2, -1, 2
Let z(v) = -v**2 + 6*v + 29. Let w be z(-3). Factor -2/5*j**3 - 6/5*j**w - 6/5*j - 2/5.
-2*(j + 1)**3/5
Let f(m) be the first derivative of 2/3*m - 9 - 2/3*m**2 + 2/9*m**3. Factor f(b).
2*(b - 1)**2/3
Let l(q) be the third derivative of 0*q + 0*q**3 + 1/420*q**6 + 1/84*q**4 - 1/105*q**5 + 0 - 9*q**2. Solve l(y) = 0 for y.
0, 1
Let u(b) = -b**3 - b - 1. Let n(c) = -2*c**4 + 9*c**3 - 18*c**2 + 13*c - 5. Let t(p) = -2*n(p) + 2*u(p). Factor t(r).
4*(r - 2)*(r - 1)**3
Let w(z) be the third derivative of -z**7/840 - z**6/240 - 15*z**2. Factor w(y).
-y**3*(y + 2)/4
Let b be -1 + -4 + (-2 - -7). Let t(r) be the third derivative of 0*r**3 - 1/108*r**4 + b*r + 0 + 3*r**2 - 1/540*r**6 - 1/135*r**5. Factor t(o).
-2*o*(o + 1)**2/9
Factor -3*l**2 - 4*l**4 - 3*l**5 + 4*l**3 + 5*l**4 + 2*l**4 - l**3.
-3*l**2*(l - 1)**2*(l + 1)
Let t(n) be the first derivative of -n**7/90 - n**6/30 - n**5/60 + n**4/36 + 2*n**2 - 2. Let a(s) be the second derivative of t(s). Factor a(o).