 j**4/4 - j. Let f(o) be the third derivative of u(o). Factor f(k).
2*(k + 1)**2/3
Factor -8/9 + 2/9*k**2 + 0*k.
2*(k - 2)*(k + 2)/9
Let i(w) be the second derivative of 3*w**5/20 - 9*w**4/4 + 27*w**3/2 - 81*w**2/2 + 73*w. Factor i(a).
3*(a - 3)**3
Let v(t) be the second derivative of -4*t**4/3 + 2*t**3/3 + 6*t. Factor v(i).
-4*i*(4*i - 1)
Let g(q) be the third derivative of q**6/24 + q**5/4 + 5*q**4/12 + 36*q**2. Factor g(o).
5*o*(o + 1)*(o + 2)
Solve 4/5*c + 0 + 8/5*c**4 + 12/5*c**5 - 16/5*c**3 - 8/5*c**2 = 0.
-1, 0, 1/3, 1
Let i be 1/(5/20) + 1. Factor 3/7*z**3 - 6/7*z**4 + 3/7*z**i + 0 + 0*z + 0*z**2.
3*z**3*(z - 1)**2/7
Let t(g) be the first derivative of -1/3*g**3 + 1/10*g**5 - 1/15*g**6 + g + 2 + 0*g**2 + 1/6*g**4. Let p(w) be the first derivative of t(w). Factor p(x).
-2*x*(x - 1)**2*(x + 1)
Let o be 10/(-65) - (-2)/13. Let r(j) = j**2 + j. Let f be r(o). Factor -18/7*g**5 + 22/7*g**3 - 8/7*g + 8/7*g**2 + f - 12/7*g**4.
-2*g*(g + 1)**2*(3*g - 2)**2/7
Solve 0 + 128*w**2 + 160*w**4 + 64/3*w + 100/3*w**5 + 736/3*w**3 = 0.
-2, -2/5, 0
Let s be 24/48 + (-3)/(-18). Factor 0 + s*q - 4/3*q**2.
-2*q*(2*q - 1)/3
Suppose -3*h + 7 = -2*h. What is k in -2*k**3 + k**2 + k**4 + k**2 + h*k**4 - 8*k**3 = 0?
0, 1/4, 1
Let r = -355 - -1066/3. Solve r*z**4 - 1/3*z**2 + 0 - 1/3*z + 1/3*z**3 = 0.
-1, 0, 1
Let a = 17 - 13. Find n such that -160*n**4 - 87*n**2 + 84*n**5 - 142*n**4 + 54*n**a + 260*n**3 - 25*n**2 + 16*n = 0.
0, 2/7, 2/3, 1
Let o(c) be the first derivative of 3*c**2 - 4*c - 2/3*c**3 - 3. Factor o(a).
-2*(a - 2)*(a - 1)
Let j(w) be the third derivative of w**7/420 + w**6/96 + w**5/120 + 7*w**2. Factor j(z).
z**2*(z + 2)*(2*z + 1)/4
Let k(l) be the third derivative of l**7/3780 + l**6/270 + l**5/45 + l**4/6 - l**2. Let b(o) be the second derivative of k(o). Factor b(x).
2*(x + 2)**2/3
Find u such that 0*u + 2/3*u**4 + 0*u**2 + 0 + 10/3*u**3 = 0.
-5, 0
Let y = -125/3 + 130/3. Factor 4*m - y*m**2 - 4/3.
-(m - 2)*(5*m - 2)/3
Let x(a) = -5*a**3 - 2*a**2 - 7*a. Let r(z) = 2*z**3 + z**2 + 3*z. Let f = -1 + 0. Let m be f*(-3*2)/(-2). Let o(l) = m*x(l) - 7*r(l). Factor o(t).
t**2*(t - 1)
Find c such that 13/2*c - 4*c**2 - 3 + 1/2*c**3 = 0.
1, 6
Factor -2 - z**2 + 11/3*z.
-(z - 3)*(3*z - 2)/3
Let v be 2/4 + 2/(-4). Let s = v + 2. Suppose -3*a**4 - 2*a**s - 29*a**3 + 25*a**3 + a**4 = 0. What is a?
-1, 0
Let v be 1/(-3 - 56/(-20)). Let a(z) = z**2 + 4*z - 5. Let b be a(v). Determine g, given that b*g + 2/9*g**5 + 2/3*g**3 + 2/3*g**4 + 2/9*g**2 + 0 = 0.
-1, 0
Let u(t) be the third derivative of 4*t**2 + 0*t + 0 + 0*t**5 + 0*t**4 + 0*t**3 + 1/40*t**6 + 1/35*t**7 + 1/112*t**8. Solve u(k) = 0.
-1, 0
Let m(d) be the third derivative of -d**5/210 - d**2. Let m(v) = 0. Calculate v.
0
Let o(j) be the first derivative of -9*j**4/20 + 7*j**3/10 + 3*j**2/5 + 3*j - 1. Let p(a) be the first derivative of o(a). Factor p(y).
-3*(y - 1)*(9*y + 2)/5
Let d = 7/31 + 89/155. Suppose 6*z - 16 = 2*z. Factor -2/5*c**z + d*c**2 + 2/5*c**5 + 2/5*c - 2/5 - 4/5*c**3.
2*(c - 1)**3*(c + 1)**2/5
Let f be (-1 - 3) + (-112)/(-24). Factor -f - a + 1/3*a**3 + 0*a**2.
(a - 2)*(a + 1)**2/3
Determine d, given that -1/2*d**2 + 0*d - 1/4*d**3 + 0 = 0.
-2, 0
Let d(z) be the second derivative of z**7/63 + 2*z**6/15 + 19*z**5/40 + 67*z**4/72 + 13*z**3/12 + 3*z**2/4 + 16*z. Determine b, given that d(b) = 0.
-3/2, -1
Let g(v) be the third derivative of -2*v**2 + 0*v**3 - 1/180*v**5 + 0*v**4 + 0 + 0*v**6 + 1/630*v**7 + 0*v. Factor g(h).
h**2*(h - 1)*(h + 1)/3
Let v be (-16)/(-20) + 483/(-60). Let y = -7 - v. Factor -y*d**4 - 1/4 - 3/2*d**2 - d**3 - d.
-(d + 1)**4/4
Let g(y) be the second derivative of -y**7/147 + 2*y**6/105 + 17*y**5/70 - 5*y**4/3 + 92*y**3/21 - 40*y**2/7 + 59*y. Suppose g(k) = 0. What is k?
-5, 1, 2
Let f(j) = 7*j**2 + 24*j + 14. Let w(u) = 34*u**2 + 120*u + 69. Let t(i) = 11*f(i) - 2*w(i). Factor t(l).
(3*l + 4)**2
Suppose -3/7*j**4 + 0*j**2 - 9/7*j**3 + 12/7*j + 0 = 0. Calculate j.
-2, 0, 1
Suppose 2/13*m**3 + 12/13*m**2 + 0 + 18/13*m = 0. Calculate m.
-3, 0
Factor -327/5*s**3 + 378/5*s**4 - 147/5*s**5 + 108/5*s**2 + 0 - 12/5*s.
-3*s*(s - 1)**2*(7*s - 2)**2/5
Let u(o) = -o**2 + 27*o - 24. Let h be u(26). Factor -1/2*v**h - v**3 + v + 1/2.
-(v - 1)*(v + 1)*(2*v + 1)/2
Let a(c) be the third derivative of 0*c**3 + 1/40*c**6 - 4*c**2 + 1/4*c**4 + 0 + 0*c - 3/20*c**5. Factor a(o).
3*o*(o - 2)*(o - 1)
Suppose -6 = -5*t + 49. Factor -4 - 6*o + 2*o**4 + o**3 + 13*o**2 + 5*o**3 - t*o**2.
2*(o - 1)*(o + 1)**2*(o + 2)
Let g(h) = -h**2 + 1. Let k(r) = r**3 - 7*r**2 + 21*r - 19. Let c(y) = -g(y) - k(y). What is x in c(x) = 0?
2, 3
Let t(i) be the second derivative of 0*i**2 + 1/14*i**7 - 1/2*i**4 + 0 - 1/2*i**3 + 5*i + 1/5*i**6 + 0*i**5. Solve t(c) = 0 for c.
-1, 0, 1
Suppose -2*j - 3 + 5 = 0. Factor 8*n - 8*n**2 - 3*n**3 + 5*n**3 + 1 - j.
2*n*(n - 2)**2
Let h be (-13)/(-52) - (-10)/8. Solve -3/2*s**2 - h*s + 3/2*s**3 + 3/2 = 0.
-1, 1
Factor -15/4*a**2 + 0*a**3 + 0 + 5/4*a**4 + 5/2*a.
5*a*(a - 1)**2*(a + 2)/4
Let o(m) be the third derivative of -m**6/360 - m**5/18 - 4*m**4/9 - 16*m**3/9 + 12*m**2. Factor o(c).
-(c + 2)*(c + 4)**2/3
Let k(n) be the first derivative of -7*n**4/2 + 20*n**3 - 36*n**2 + 16*n - 6. Let k(l) = 0. Calculate l.
2/7, 2
Factor -6 - 20*v - 2*v**2 + 10*v**2 + 4*v**4 - 6 + 24*v**3 - 4*v**5.
-4*(v - 3)*(v - 1)*(v + 1)**3
Suppose 0 + 4/3*q - 2/3*q**2 = 0. Calculate q.
0, 2
Let r be (-7)/((-14)/4) + (-2)/(-1). Find f such that 5/2*f**3 + 1/6*f**2 + 7/6*f**5 - 1/3*f + 0 + 19/6*f**r = 0.
-1, 0, 2/7
Suppose 5*w - 50 = -0*v + 4*v, -w = 4*v + 14. Let a(r) be the second derivative of -2*r - 2/5*r**5 + 1/15*r**w + r**2 + 0 - 4/3*r**3 + r**4. Factor a(t).
2*(t - 1)**4
Let x(p) be the third derivative of -p**9/26460 + 3*p**8/15680 - p**7/8820 - p**4/6 + 5*p**2. Let a(u) be the second derivative of x(u). What is k in a(k) = 0?
0, 1/4, 2
Let f(p) be the second derivative of 0*p**3 + 1/15*p**6 - 7*p + 0*p**2 + 0 - 1/3*p**4 + 1/10*p**5. Factor f(m).
2*m**2*(m - 1)*(m + 2)
Let u(k) be the first derivative of k**5/10 + k**4/8 + 3. Factor u(x).
x**3*(x + 1)/2
Let s(y) be the first derivative of -2*y**3/3 - 5*y**2 + 28*y + 22. Factor s(f).
-2*(f - 2)*(f + 7)
Suppose 3*l - 7 = -a, l + 5*a + 7 = 28. Suppose 0 = -t + 1 + l. Determine y so that -25/3*y**3 + 4/3 - 8*y + 15*y**t = 0.
2/5, 1
Let b(d) = -d**3 + 8*d**2 + 3*d + 3. Let o(g) = 8*g**2 + 2*g + 2. Let a(m) = -2*b(m) + 3*o(m). Determine j, given that a(j) = 0.
-4, 0
Let a(d) = d**3 - d + 3. Let w be a(0). Suppose -5*b + 7*z + 21 = w*z, -z = -1. Suppose -o**b + 4*o**4 - 2*o**3 - o**3 - 2*o**3 + o**3 = 0. What is o?
0, 2
Let y(b) be the second derivative of b**6/240 - b**5/80 + b**3/24 - b**2/16 + 5*b. What is v in y(v) = 0?
-1, 1
Factor -1/4*j**2 + 0 - 1/4*j**3 + 0*j.
-j**2*(j + 1)/4
Let n(c) = c + 10. Let k be n(-10). Factor 3/4*d**2 + 0*d + k.
3*d**2/4
Let z(p) = 2*p**2 + p - 1. Let b be z(-1). Let u(l) be the first derivative of 2 + 0*l - 1/6*l**3 + b*l**2. Find i, given that u(i) = 0.
0
Let t(w) be the first derivative of -5*w**9/9072 + w**8/2520 - 2*w**3 + 4. Let x(d) be the third derivative of t(d). Solve x(f) = 0 for f.
0, 2/5
Factor 3*o**3 + 0 + 3 - 9*o**2 + 9*o - 6.
3*(o - 1)**3
Suppose -o = -4*o + 12. Let s(v) = -4*v**4 - 8*v**3 - v**2. Let z(j) = 3*j**4 + 9*j**3 + 2*j**2. Let k(b) = o*s(b) + 3*z(b). Find p such that k(p) = 0.
-1, 0, 2/7
Let j(d) be the first derivative of d**6/9 - 2*d**5/15 - d**4/6 + 2*d**3/9 + 4. Factor j(g).
2*g**2*(g - 1)**2*(g + 1)/3
Let z(l) be the second derivative of l**7/147 + 2*l**6/105 - l**5/35 - 4*l**4/21 - l**3/3 - 2*l**2/7 - 16*l. Find k such that z(k) = 0.
-1, 2
Let z(v) be the first derivative of 2*v**5/65 - 2*v**3/39 - 25. Solve z(n) = 0.
-1, 0, 1
Let w(x) = -x**2 + 1. Let f(g) = 7*g**2 + g - 6. Let i(p) = -f(p) - 6*w(p). Let h(v) = -8*v + 2. Let r(y) = 2*h(y) - 6*i(y). Factor r(t).
2*(t - 1)*(3*t - 2)
Let w be (0 + 1)/(-1)*-8. Let y(d) = -2*d**3 - d**2 - 5*d - 3. Let g(j) = -6*j**3 - 4*j**2 - 14*j - 8. Let u(a) = w*y(a) - 3*g(a). Factor u(h).
2*h*(h + 1)**2
Let l(n) = -n**2 - 5*n. Let i(v) = -v**2 - 6*v. Let t be 2/(-4) + (-14)/4. Let b(s) = t*i(s) + 5*l(s). Factor b(k).
-k*(k + 1)
Factor -4*m**2 + 300 - 242 - 104*m - 454 - 280.
-4*(m + 13)**2
Let f(d) be the first derivative of 4*d**3/3 + 16*d*