 + l**6/36 + l**5/10 + 7*l**4/36 + 2*l**3/9 + 5*l**2. Factor z(k).
2*(k + 1)**3*(k + 2)/3
Let b be 4/14 - (-477)/(-1890). Let m(t) be the third derivative of 0 - 2/3*t**3 - t**2 + 1/4*t**4 - b*t**5 + 0*t. Solve m(j) = 0 for j.
1, 2
Let o(k) be the third derivative of 0 - 3*k**2 + 4/75*k**5 + 7/60*k**4 + 2/15*k**3 + 1/100*k**6 + 0*k. Factor o(f).
2*(f + 1)**2*(3*f + 2)/5
Let y be (-2)/(-5) + 24/15. Let z be (9/(-189))/(y/(-12)). What is d in -z + 0*d**3 + 4/7*d**2 - 2/7*d**4 + 0*d = 0?
-1, 1
Suppose -4/7 - 2/7*g + 2/7*g**2 = 0. What is g?
-1, 2
Factor 0 + 0*j**2 + 3/2*j**3 + 0*j + 3/4*j**4.
3*j**3*(j + 2)/4
Let x be (-6)/(-9) + (-14)/(-6). Let d = -2 + 4. Factor -5*r**2 + 5*r**d + r**x.
r**3
Let f(y) = y + 3. Let j be f(-3). Let s be (-4)/(-18) - (-5 - (-246)/54). Determine u, given that 1/3*u**3 + s*u**2 + 0 - u**4 + j*u = 0.
-2/3, 0, 1
Let o(v) = -v**3 + 14*v**2 - 13*v + 2. Let l be o(13). Factor 1/3*p**l + 0*p + 1/3*p**3 + 0.
p**2*(p + 1)/3
Let z(s) be the third derivative of s**7/105 + s**6/60 + 2*s**2. Suppose z(a) = 0. What is a?
-1, 0
Let a(v) = 11*v**2 - 20*v - 25. Let t(k) = -65*k**2 + 120*k + 150. Let h(n) = -35*a(n) - 6*t(n). Solve h(g) = 0 for g.
-1, 5
Let i(z) be the second derivative of -2*z + 3/20*z**5 + 0 + 0*z**4 + 0*z**2 - 1/2*z**3. Suppose i(c) = 0. Calculate c.
-1, 0, 1
Factor 5*t + t**4 + 23/4*t**3 - 2 + 21/2*t**2.
(t + 2)**3*(4*t - 1)/4
Let h(d) be the second derivative of d**4/66 + d**3/11 + 9*d. Suppose h(t) = 0. Calculate t.
-3, 0
Let 5/3*x**2 - 4/3 + 8/3*x = 0. What is x?
-2, 2/5
Let u = 66/5 + -1062/85. Let m = u - 2/51. Factor 0 - 2/3*x**4 - m*x**2 - 4/3*x**3 + 0*x.
-2*x**2*(x + 1)**2/3
Let r(q) be the first derivative of -q**7/168 - q**6/120 + q**5/80 + q**4/48 - 3*q - 5. Let n(l) be the first derivative of r(l). Factor n(j).
-j**2*(j - 1)*(j + 1)**2/4
Let p be (0 - -4)*(-1 + 3). What is x in -6 + p - 45*x**2 + 27*x**3 - 6 + 24*x = 0?
1/3, 2/3
Let c(y) be the first derivative of y**7/630 + y**6/90 + y**5/36 + y**4/36 + y**2/2 - 3. Let z(g) be the second derivative of c(g). Factor z(q).
q*(q + 1)**2*(q + 2)/3
Let a(k) be the second derivative of 0 - 3*k - 1/4*k**4 - 1/40*k**5 + 1/30*k**6 + 3/8*k**3 + 0*k**2 + 1/168*k**7. Determine m, given that a(m) = 0.
-3, 0, 1
Find b, given that -5*b**2 - 18*b + 6*b - 4 - 3*b**2 = 0.
-1, -1/2
Let c(h) be the first derivative of -h**5/20 + 5*h**4/16 - h**3/3 + 30. Let c(m) = 0. Calculate m.
0, 1, 4
Let k(b) be the first derivative of -14*b**3/27 - b**2 - 4*b/9 - 7. Factor k(f).
-2*(f + 1)*(7*f + 2)/9
Let w = -482/77 - -72/11. Suppose 2/7*l**5 + 0*l + 0 + 6/7*l**3 + w*l**2 + 6/7*l**4 = 0. Calculate l.
-1, 0
Suppose 2*h - 5 = -5*z + 2, -1 = -4*h + 3*z. Suppose 3*s - h - 5 = 0. Factor -o**4 - s*o**2 + 3*o**2 + 4*o - o**3 + 0*o**2 - 3*o.
-o*(o - 1)*(o + 1)**2
Let x(b) = -b**3 + b**2 - b + 2. Let l be x(0). Suppose -3*r - 3/2*r**l - 1/4*r**3 - 2 = 0. Calculate r.
-2
Suppose -3 = 3*m - 2*p + 4*p, -4*m - 5*p = 4. Let f = m - -5. What is i in -4*i**3 + 14/5*i + 4/5 + 6/5*i**5 + 0*i**2 - 4/5*i**f = 0?
-1, -1/3, 1, 2
Let u(v) be the third derivative of 0*v - 1/5*v**4 + 0 - 6*v**2 + 3/5*v**3 + 2/75*v**5. Factor u(b).
2*(2*b - 3)**2/5
Let h = -269 + 815/3. Let d(c) be the first derivative of 2*c + 7/2*c**2 + h*c**3 - 1 + 3/4*c**4. Determine f, given that d(f) = 0.
-1, -2/3
Let j = 15770/27 + -584. Let v(y) be the first derivative of 2/9*y**2 + 0*y + 2 + j*y**3. Factor v(x).
2*x*(x + 2)/9
Let a = -2131/2 + 1147. Let y = a - 80. Factor -3/2 - 3*c**3 + 3/2*c + 3/2*c**5 - y*c**4 + 3*c**2.
3*(c - 1)**3*(c + 1)**2/2
Suppose -1/5*m + 0 + 1/5*m**2 + 16/5*m**3 - 16/5*m**4 = 0. Calculate m.
-1/4, 0, 1/4, 1
Let w(f) = -f**2 - 6*f + 2. Let q be w(-6). Let x = 2 - q. Factor -3 + 2 - 2*n**2 + 3*n**2 + x*n**2.
(n - 1)*(n + 1)
Suppose -3*d - 31 = -5*r - 2*d, 0 = 2*r + 5*d - 34. Let m = 11 - r. Find o, given that -4*o - 2*o - o**3 - m*o**2 + 2*o = 0.
-2, 0
Let f(i) = i**3 - 5*i**2 - 13*i - 4. Let d be f(7). Let y = 1 - -1. Find l such that -l**y - 3*l**3 + d*l**4 - 2*l**2 - l - 4*l**4 = 0.
-1, 0
Let p = -8/69 + 332/483. Let p + 2/7*t - 2/7*t**2 = 0. Calculate t.
-1, 2
Let i be 1/2 + 21/6. Let l = 8 - i. Factor -a**3 + a**2 + l - a**2 + 3*a - 2.
-(a - 2)*(a + 1)**2
Determine p so that 20/3*p - 1/3*p**2 - 100/3 = 0.
10
Suppose -c + 0*c - 2 = -2*w, -3*c - 6 = -3*w. Let b be ((-1)/2)/(c/20). Solve 14*s**2 + b*s - s + 0*s + 0*s = 0.
-2/7, 0
Let v(y) = -2*y**4 - 6*y**2 + 8*y + 4. Let d(p) = -5*p**4 + p**3 - 13*p**2 + 17*p + 9. Let u(w) = -4*d(w) + 9*v(w). What is k in u(k) = 0?
-1, 0, 1, 2
Let m = 59 + -92. Let y = m - -133/4. Find o such that -1/2*o**3 + 1/2*o + 1/4*o**4 + 0*o**2 - y = 0.
-1, 1
Let b be (-4)/(2 + -7 + 3). Suppose -i + 6 = b*i. Factor 0 + 1/2*w**3 - 1/2*w**i + 0*w.
w**2*(w - 1)/2
Let x(r) = -r**4 - r**2. Let q(p) = -12*p**3 - 4*p**2. Let o(b) = q(b) - 4*x(b). Determine u so that o(u) = 0.
0, 3
Let h(y) be the first derivative of -3/2*y**2 + 0*y + y**3 - 3. Find q such that h(q) = 0.
0, 1
Let g = -8/5 + 34/15. Find j, given that -2/9*j**2 - 4/9 + g*j = 0.
1, 2
Let z(b) be the second derivative of -5*b**4/8 + 13*b**3/12 + b**2/2 - 2*b. Determine r, given that z(r) = 0.
-2/15, 1
Find w, given that -10/9*w**4 - 16/9*w**3 - 2/9*w**2 + 0 + 4/9*w = 0.
-1, 0, 2/5
Let x(w) be the first derivative of -5*w**4/16 - 20*w**3/3 - 40*w**2 + 26. Factor x(l).
-5*l*(l + 8)**2/4
Let p(w) be the third derivative of 1/70*w**7 + 0*w + 3/40*w**6 + 3/20*w**5 + 0 + 0*w**3 - 4*w**2 + 1/8*w**4. Factor p(o).
3*o*(o + 1)**3
Let k(y) be the first derivative of 0*y**4 - 1/3*y**3 + 0*y**2 + 0*y**5 + 0*y + 0*y**6 - 3 - 1/4200*y**7. Let n(o) be the third derivative of k(o). Factor n(d).
-d**3/5
Let h(l) be the first derivative of -l**6/1260 + l**5/210 - l**4/84 + 5*l**3/3 - 2. Let f(b) be the third derivative of h(b). Factor f(u).
-2*(u - 1)**2/7
What is o in -2/7*o**2 + 4/7 - 2/7*o = 0?
-2, 1
Let k(c) be the second derivative of c**7/1260 - c**6/720 - c**5/120 + c**4/4 - 4*c. Let s(q) be the third derivative of k(q). Factor s(u).
(u - 1)*(2*u + 1)
Let w(v) be the first derivative of -9/5*v + 6 + 2/5*v**3 - 3/2*v**2. Factor w(o).
3*(o - 3)*(2*o + 1)/5
Let a(k) = -48*k**2 + 33*k + 48. Let b(h) = -3*h**2 + 2*h + 3. Let n(z) = -2*a(z) + 33*b(z). Factor n(y).
-3*(y - 1)*(y + 1)
Let j(m) be the first derivative of -m**6/660 + m**5/165 - m**4/132 - 2*m**2 - 6. Let a(g) be the second derivative of j(g). Factor a(w).
-2*w*(w - 1)**2/11
Let t = 131 - 915/7. Let g(x) be the first derivative of 1/7*x**2 - 2 - 1/14*x**4 - t*x + 2/21*x**3. Solve g(q) = 0 for q.
-1, 1
Factor -2 + 5*v + 6 + v**3 - 6 - 4*v**2.
(v - 2)*(v - 1)**2
Let m(c) be the third derivative of -7/120*c**5 + 7/240*c**6 + 0 + 1/6*c**3 - 1/336*c**8 + 2*c**2 - 1/48*c**4 + 1/420*c**7 + 0*c. Solve m(z) = 0 for z.
-2, -1/2, 1
Let 2/3*s**3 - 2/9*s**2 + 0 + 0*s = 0. What is s?
0, 1/3
Solve 12*b**3 - 6 - 4*b + 9*b**4 + 12 - 5 - 2*b**2 = 0.
-1, 1/3
Let s be (4 - 0) + (-50)/20. Determine q, given that -3/2 - s*q**2 - 3*q = 0.
-1
Let n(y) be the third derivative of y**8/336 - y**7/70 + y**6/40 - y**5/60 + 6*y**2. Factor n(d).
d**2*(d - 1)**3
Suppose 2*u = 6*u. Let m be u + 3 + (-38)/14. Solve -m + 24/7*h - 96/7*h**2 + 128/7*h**3 = 0.
1/4
Factor -2 - 2/3*z**3 + 10/3*z - 2/3*z**2.
-2*(z - 1)**2*(z + 3)/3
Find x, given that -1/11*x**2 - 2/11*x + 3/11 = 0.
-3, 1
Let o(u) be the third derivative of -u**6/300 - 17*u**2. Factor o(n).
-2*n**3/5
Let h(g) be the second derivative of 1/4*g**2 + 3/40*g**5 - 7/48*g**4 - 1/24*g**3 + 0 - 4*g. What is x in h(x) = 0?
-1/2, 2/3, 1
Factor 4*w**3 + 2 - 4*w**2 + 4*w**4 + 5*w**4 - 2*w**5 - 7*w**4 - 2*w.
-2*(w - 1)**3*(w + 1)**2
Let z(f) = -8*f**3 - 9*f**2 - 12*f - 2. Let q(c) = -15*c**3 - 19*c**2 - 23*c - 4. Let a(w) = -3*q(w) + 5*z(w). Factor a(l).
(l + 1)**2*(5*l + 2)
Let s(p) = -4*p**4 + 32*p**3 - 12*p**2 + 8*p + 8. Let f(x) = -3*x**4 + 21*x**3 - 8*x**2 + 5*x + 5. Let a(g) = 8*f(g) - 5*s(g). Determine z, given that a(z) = 0.
0, 1
Let f be ((-286)/252 - -1) + 12/84. Let h(m) be the second derivative of -f*m**7 + 1/30*m**5 + 0*m**6 + 0*m**2 + 0*m**4 - 1/18*m**3 + 0 - m. Factor h(c).
-c*(c - 1)**2*(c + 1)**2/3
Let w = 10 - 66/7. Factor 0 - w*j + 2/7*j**3 - 2/7*j**2.
2*j*(j - 2)*(j + 1)/7
Let l(z) be the third derivative of 0*z**3 + 0*z + 1/60*z**5 + 0 + 1/12