et a = -28 - -31. Factor 2/11*y**a - 4/11 + 0*y**2 - 6/11*y.
2*(y - 2)*(y + 1)**2/11
Let t = -242 - -242. Factor t + 1/5*w**2 - 2/5*w.
w*(w - 2)/5
Let t(a) be the third derivative of 7*a**6/1080 + a**5/72 - a**4/36 - a**3/6 - 4*a**2. Let c(g) be the first derivative of t(g). Find l such that c(l) = 0.
-1, 2/7
Determine o so that -36/5*o**2 + 6/5 - 12*o**3 - 6/5*o**5 + 2/5*o - 34/5*o**4 = 0.
-3, -1, 1/3
Let n(f) be the third derivative of 3*f**8/112 - 2*f**7/35 - f**6/24 + f**5/5 - f**4/6 - 2*f**2. Factor n(s).
s*(s - 1)*(s + 1)*(3*s - 2)**2
Let f(x) be the second derivative of 5*x**7/42 - x**6/2 + 3*x**5/4 - 5*x**4/12 - 24*x. Factor f(t).
5*t**2*(t - 1)**3
Let r(y) = -y**3 + 11*y**2 + 13*y - 11. Let n be r(12). Let a be n - (4/(-4) + 0). What is o in 4/13 + 2/13*o**a - 6/13*o = 0?
1, 2
Let q be 8/(-36) - 38/(-9). Suppose -5*m + 3*m = -4, q*t - m + 2 = 0. Factor -2/9 + t*b + 2/9*b**2.
2*(b - 1)*(b + 1)/9
Let a(n) be the third derivative of n**5/15 + n**4/3 - n**2. Factor a(w).
4*w*(w + 2)
Let x(t) be the third derivative of t**6/120 - t**5/10 + 5*t**4/24 + 8*t**2. Let v be x(5). Find n, given that 0 + 2/7*n**2 + v*n = 0.
0
Let q(s) be the third derivative of -s**6/120 + s**5/20 + 3*s**4/8 - s**3/3 - 3*s**2. Let o(m) be the first derivative of q(m). Factor o(j).
-3*(j - 3)*(j + 1)
Let v(o) be the first derivative of -o**3/15 + o**2/2 + 10. Find t such that v(t) = 0.
0, 5
Let g = -11/32 - -97/96. Factor 0*l + g*l**3 + 0 + 0*l**2.
2*l**3/3
Let c(g) be the first derivative of -2*g**3/27 + 10*g**2/9 - 50*g/9 + 17. Find u such that c(u) = 0.
5
Let a(h) be the first derivative of 1/3*h**3 + 3/2*h**2 + 2*h + 4. Factor a(p).
(p + 1)*(p + 2)
Let 3*g**2 - 5*g**2 + 3*g**2 = 0. What is g?
0
Let z(r) be the third derivative of 0*r + 0*r**4 + 0*r**3 + 1/360*r**6 - r**2 + 0 + 1/180*r**5. Let z(b) = 0. Calculate b.
-1, 0
Let o be (2/10)/(1/10*8). Suppose 1/4*h**4 - 3/4*h**2 + o*h + 1/2 - 1/4*h**3 = 0. Calculate h.
-1, 1, 2
Factor 2*f**2 - f**5 + 2 - 4*f**4 + 49*f**3 + 5*f - 99*f**3 + 46*f**3.
-(f - 1)*(f + 1)**3*(f + 2)
Let j(i) be the second derivative of 9/70*i**5 + 2/21*i**3 - 11/42*i**4 + 0 + 0*i**2 - 2*i. Factor j(c).
2*c*(c - 1)*(9*c - 2)/7
Let f(z) be the first derivative of -2*z**5/45 + z**4/9 - 2. What is t in f(t) = 0?
0, 2
Let y(v) be the first derivative of v**7/1680 + v**6/1440 - v**5/480 + v**3/3 + 5. Let w(s) be the third derivative of y(s). Determine x, given that w(x) = 0.
-1, 0, 1/2
Let g = -23/2 + 12. Find w, given that -w**2 + 1/2*w**3 + 0 + g*w = 0.
0, 1
Let b(y) be the second derivative of -1/70*y**5 + 0 - 4*y + 1/21*y**3 + 0*y**2 + 0*y**4. Find k such that b(k) = 0.
-1, 0, 1
Let k(a) be the second derivative of a**2 + 3*a - 1/2*a**4 + 2/3*a**3 + 0. Factor k(n).
-2*(n - 1)*(3*n + 1)
Let a(f) be the first derivative of f**3/3 + 7*f**2/2 - 8*f + 1. Let m be a(-8). Suppose -3/4*v**4 + 0*v**3 - 3/4 + m*v + 3/2*v**2 = 0. What is v?
-1, 1
Let k(g) be the third derivative of 1/72*g**4 - 1/9*g**3 + 0*g - 6*g**2 + 1/180*g**5 + 0. Determine r so that k(r) = 0.
-2, 1
Let z(a) be the third derivative of a**7/630 - a**6/72 + a**5/20 - 7*a**4/72 + a**3/9 - 20*a**2. Factor z(u).
(u - 2)*(u - 1)**3/3
Let l(s) be the first derivative of -1/4*s - 1 + 3/8*s**2 - 1/6*s**3. Let l(a) = 0. What is a?
1/2, 1
Let f(w) = -3*w - 3. Let s be f(-2). Suppose -z = -0*z - s. Factor -3*n**2 + n + n**z + 0*n + 2*n - 1.
(n - 1)**3
Let o(y) be the third derivative of y**10/529200 - y**8/35280 + y**6/2520 + y**5/15 - 2*y**2. Let l(w) be the third derivative of o(w). Factor l(f).
2*(f - 1)**2*(f + 1)**2/7
Let f(m) be the first derivative of -m**8/672 + m**7/70 - 13*m**6/240 + m**5/10 - m**4/12 + m**2/2 + 1. Let o(b) be the second derivative of f(b). Factor o(x).
-x*(x - 2)**2*(x - 1)**2/2
Let k be 0/(((-2)/6)/(4/(-12))). Let a(x) be the first derivative of -3 + k*x - 1/6*x**6 + 0*x**3 + 2/5*x**5 - 1/4*x**4 + 0*x**2. Factor a(r).
-r**3*(r - 1)**2
Let l(b) be the first derivative of -2/33*b**3 - 2 + 2/11*b + 0*b**2. Factor l(m).
-2*(m - 1)*(m + 1)/11
Let w(o) be the second derivative of -3*o**4 + 2*o**3 - o**2/2 + 9*o. Factor w(b).
-(6*b - 1)**2
Let k(i) be the second derivative of 0 + 1/120*i**5 - 1/252*i**7 + 0*i**3 - 4*i + 1/72*i**4 + 0*i**2 - 1/180*i**6. Factor k(g).
-g**2*(g - 1)*(g + 1)**2/6
Let p(g) be the third derivative of -1/6*g**4 + 1/210*g**7 + 0*g + 0 + 1/6*g**3 - 5*g**2 - 1/30*g**6 + 1/10*g**5. Factor p(q).
(q - 1)**4
Let r be (4/12)/((-1)/(-9)). Suppose -2 = -r*z + 4. Factor 0*p**z + 2/3*p**5 + 0 - 4/3*p**3 + 0*p**4 + 2/3*p.
2*p*(p - 1)**2*(p + 1)**2/3
Factor 0*r - 2/7*r**2 - 1/7*r**4 - 3/7*r**3 + 0.
-r**2*(r + 1)*(r + 2)/7
Let l(o) be the second derivative of -1/24*o**3 + 1/80*o**5 - 2*o + 0 + 1/48*o**4 + 0*o**2 - 1/120*o**6. Solve l(y) = 0.
-1, 0, 1
Factor 6*g**2 + 5*g - 3*g + 3*g - g**2.
5*g*(g + 1)
Suppose -4*w + 13 = 5. What is o in -2/3*o**3 + 2*o**w + 2/3 - 2*o = 0?
1
Let g(a) be the third derivative of a**9/3024 + a**8/560 - a**6/90 - 2*a**3/3 + 2*a**2. Let u(s) be the first derivative of g(s). Find b such that u(b) = 0.
-2, 0, 1
Let l(h) be the first derivative of 24*h**5/5 - 35*h**4/2 + 24*h**3 - 15*h**2 + 4*h + 3. Let l(w) = 0. What is w?
1/4, 2/3, 1
Factor 6*g**3 + 4*g**3 + 4*g**4 - 18*g**3.
4*g**3*(g - 2)
Suppose -5*y = -8*y + 3*o + 21, 9 = 3*y + o. Determine z, given that -1/7*z - 2/7*z**2 + 2/7*z**y + 0 + 1/7*z**5 + 0*z**3 = 0.
-1, 0, 1
Let p(a) be the third derivative of 0*a**3 + 0*a**4 + 5*a**2 + 0 + 0*a + 1/210*a**5. Let p(t) = 0. What is t?
0
Let y(z) be the first derivative of -z**5/15 - z**4/12 + 4*z**3/9 + 2*z**2/3 + 5. Factor y(x).
-x*(x - 2)*(x + 1)*(x + 2)/3
Let q(x) be the first derivative of 4*x**5/5 - 32*x**3/3 + 64*x + 4. Find r such that q(r) = 0.
-2, 2
Factor 0 + 2/7*p + p**2.
p*(7*p + 2)/7
Let -38*c - 18*c - 16*c + 4*c**4 - 12*c**2 + 16*c**3 = 0. What is c?
-3, 0, 2
Let f(y) = y**4 - y**3 + 9*y**2 - 2*y - 7. Let c(b) = 8*b**2 - 2*b - 6. Let p(w) = 6*c(w) - 4*f(w). Factor p(q).
-4*(q - 2)*(q - 1)*(q + 1)**2
Find h such that 8/9*h**3 + 0*h - 2/9*h**5 + 8/9*h**2 + 0 - 2/9*h**4 = 0.
-2, -1, 0, 2
Factor -4 - 16*b**2 - 4*b**2 + 0 + 6*b**3 + 18*b.
2*(b - 2)*(b - 1)*(3*b - 1)
Let u(j) be the third derivative of j**5/12 - 5*j**4/24 - 5*j**3/3 - 21*j**2. Factor u(h).
5*(h - 2)*(h + 1)
Let q(y) be the first derivative of -3*y**2 - 6*y + 1/3*y**3 - 1/4*y**4 - 2. Let j(m) = -m**3 + m**2 - 5*m - 5. Let f(c) = 6*j(c) - 5*q(c). Solve f(k) = 0.
0, 1
Suppose 2 = -2*z, 3*x = 2*z + 2*z + 19. Let n(k) be the second derivative of -k + 1/80*k**x + 1/12*k**3 + 1/16*k**4 + 0 + 0*k**2. Factor n(a).
a*(a + 1)*(a + 2)/4
Let p(a) be the first derivative of -a**9/7560 + a**7/2100 - 7*a**3/3 - 6. Let q(w) be the third derivative of p(w). Factor q(k).
-2*k**3*(k - 1)*(k + 1)/5
Let o(w) be the first derivative of -w**6/39 + 6*w**5/65 - 3*w**4/26 + 2*w**3/39 - 24. Let o(n) = 0. What is n?
0, 1
Let d(q) be the second derivative of q**6/10 + 3*q**5/10 + q**4/4 + 16*q. Solve d(a) = 0.
-1, 0
Let c(u) = -5*u**2 - 10*u - 10. Let s(k) = k**2 + 1. Let h(w) = c(w) + 10*s(w). What is m in h(m) = 0?
0, 2
Let b(m) be the second derivative of m**5/4 + 5*m**4/4 - 15*m**3/2 + 25*m**2/2 - 29*m. Factor b(d).
5*(d - 1)**2*(d + 5)
Factor -11 + 0 + 25*d**2 + 1 - 15*d.
5*(d - 1)*(5*d + 2)
Let u = 5 - 0. Find j such that 1 - 14*j**5 - 132*j**3 + 32*j**3 - 30*j - u + 60*j**4 + 8 + 80*j**2 = 0.
2/7, 1
Let z(u) be the first derivative of -2*u**5/25 + u**4/10 + 2*u**3/15 - u**2/5 + 6. Factor z(m).
-2*m*(m - 1)**2*(m + 1)/5
Let p = 5 - 9. Let d be (p/10)/((-32)/280). Factor 6*h - 2 + d*h**2.
(h + 2)*(7*h - 2)/2
Suppose -3*n + 6 = 5*c - 5*n, -2 = c - 2*n. Suppose j - 4*j + 9*j - j**2 - c*j**2 = 0. Calculate j.
0, 2
Factor 1/2*b**2 + 0 - 5/4*b**3 + 0*b.
-b**2*(5*b - 2)/4
Factor -10/3*z**4 + 0 + 32/15*z**2 - 8/15*z - 2/3*z**3.
-2*z*(z + 1)*(5*z - 2)**2/15
Let u = -1919/15 - -128. Let x(v) be the third derivative of 0*v - 1/5*v**5 + 0 + 2*v**2 - u*v**6 - 1/3*v**4 - 1/105*v**7 - 1/3*v**3. Factor x(m).
-2*(m + 1)**4
Let z be ((-3)/(-6))/(1/4). Let u = 5 + -2. Factor -3*a**2 - a + a**z + u*a**2.
a*(a - 1)
Let q = 447 - 443. Suppose 0*h - 4/7*h**2 + 0 + 4/7*h**q + 2/7*h**5 - 2/7*h**3 = 0. What is h?
-2, -1, 0, 1
Let t = 76 + -74. Let x(p) be the first derivative of 0*p + 0*p**3 + 0*p**t + 1 - 1