w(v) = v**3 + 3*v**2 - 2*v + 10. Let g be w(-4). Factor -1/3*q**g + 0 - q.
-q*(q + 3)/3
Let j(s) be the first derivative of 3*s**7/1120 - s**6/720 - 3*s**5/160 + s**4/48 - 2*s**3/3 + 8. Let a(u) be the third derivative of j(u). Factor a(q).
(q - 1)*(q + 1)*(9*q - 2)/4
Factor -9*h**3 + 7*h**3 - 3*h**4 + 2*h + 2*h**2 + h**4 + 0*h**3.
-2*h*(h - 1)*(h + 1)**2
Let n be (-4)/9*(-27)/18. Determine q so that 0*q + 0*q**3 + 1/3 - n*q**2 + 1/3*q**4 = 0.
-1, 1
Let o(n) be the second derivative of -n**7/12600 - n**6/1800 - n**5/600 + n**4/4 + n. Let j(k) be the third derivative of o(k). Factor j(a).
-(a + 1)**2/5
Let u be (6/(-16)*2)/(45/(-24)). Factor 2/5*m**3 + 0 - 4/5*m + u*m**2.
2*m*(m - 1)*(m + 2)/5
Let v = -187267/5 + 37337. Let y = -116 - v. Factor 0*z + 8/5*z**3 + 0 + y*z**2.
2*z**2*(4*z + 1)/5
Suppose -25 = -0*o - 5*o. Suppose -4*f + 5 = 2*w - o*f, w = -3*f - 1. Factor h**4 - w*h**4 - h**3 + 2*h**4 - h + 2*h**3 - h**2.
h*(h - 1)*(h + 1)**2
Let n be 2/3 + (-7)/42. Factor 0 - 1/2*h**2 - n*h**4 + h**3 + 0*h.
-h**2*(h - 1)**2/2
Let h(o) be the third derivative of o**7/210 + o**4/24 + 4*o**2. Let w(s) = -s**4 - s**3 - 2*s. Let m = 6 - 8. Let j(q) = m*w(q) - 4*h(q). Factor j(a).
-2*a**3*(a - 1)
Let u = 2/3 + -8/21. Let 0 - 2/7*k**4 + u*k**2 - 2/7*k**3 + 2/7*k = 0. What is k?
-1, 0, 1
Determine j so that -2/3*j**2 - 22/3*j - 20/3 = 0.
-10, -1
Suppose -8 = -4*z + 12. Let n = 4 + -2. Factor -w**n + z*w**2 - w**5 - 4*w**4 - w**5 + 2*w.
-2*w*(w - 1)*(w + 1)**3
Let w(u) be the third derivative of u**6/240 - u**5/30 + 5*u**4/48 - u**3/6 + 8*u**2. Factor w(i).
(i - 2)*(i - 1)**2/2
Let n(y) = -8*y - 29. Let t be n(-4). Let 1/5*b**t + 1/5*b**4 + 2/5 - 3/5*b**2 - 1/5*b = 0. Calculate b.
-2, -1, 1
Let h be (0 - (-49)/117) + 189/(-1701). Suppose -5*q + 3 + 7 = 0. Factor -h + 22/13*x - 30/13*x**q.
-2*(3*x - 1)*(5*x - 2)/13
Let m(v) = 3*v**2 - 1. Let s be m(-1). Factor n**2 + 1 + 0*n**2 - s.
(n - 1)*(n + 1)
Let p(i) be the third derivative of -i**5/12 + 5*i**4/3 - 40*i**3/3 + 12*i**2. Factor p(d).
-5*(d - 4)**2
Determine f so that -4/9 + 2/3*f + 0*f**2 - 2/9*f**3 = 0.
-2, 1
Let o be (2 - 2)*(-2 + 1). Let s(g) be the second derivative of -1/40*g**5 + o*g**2 + 0 - 2*g - 1/24*g**4 + 0*g**3. Factor s(n).
-n**2*(n + 1)/2
Suppose -5*a = -3*a. Suppose 6*m = 3*m. Let a + m*x**2 + 2/7*x**5 + 2/7*x**3 - 4/7*x**4 + 0*x = 0. What is x?
0, 1
Factor -3*n**4 - 2*n**3 - 7*n**3 - 3*n**3 + 0*n**4.
-3*n**3*(n + 4)
Let v(p) = 4*p**3 - 5*p**2. Let m(n) = -5*n**3 + 6*n**2. Let q(r) = 5*m(r) + 6*v(r). Factor q(i).
-i**3
Let g(h) be the first derivative of -h**6/15 + h**5/10 - h + 3. Let b(f) be the first derivative of g(f). Factor b(s).
-2*s**3*(s - 1)
Let j(o) = o**3 - 6*o**2 - 2*o + 14. Let q be j(6). Find l, given that -2/3*l**q - 2/9*l**3 + 0 - 4/9*l = 0.
-2, -1, 0
Let q(b) be the second derivative of b**5/110 - b**4/66 + 4*b. Find w, given that q(w) = 0.
0, 1
Let g(f) be the second derivative of f**5/20 + 5*f**4/12 + f**3/6 + 5*f**2/2 + f. Let u be g(-5). Factor u*y + y**4 + 1/3*y**5 + y**3 + 0 + 1/3*y**2.
y**2*(y + 1)**3/3
Let x(y) be the second derivative of -y**4/42 + 4*y**3/7 - 36*y**2/7 + 4*y. Find w, given that x(w) = 0.
6
Factor 8/5 + 8/5*b + 2/5*b**2.
2*(b + 2)**2/5
Let u(s) be the third derivative of -s**7/7560 + s**6/2160 + s**5/180 + s**4/24 - 2*s**2. Let v(l) be the second derivative of u(l). Factor v(d).
-(d - 2)*(d + 1)/3
Let k(c) be the second derivative of -c**7/42 + c**6/90 + c**5/20 - c**4/36 - 11*c. Determine m, given that k(m) = 0.
-1, 0, 1/3, 1
Let s(c) be the first derivative of -c**5 - 17. What is j in s(j) = 0?
0
Let a be (-24)/(-6) + (-3 - 1). Let x(q) be the third derivative of a*q + 1/420*q**6 + 0 + q**2 + 0*q**4 + 1/210*q**5 + 0*q**3. Factor x(r).
2*r**2*(r + 1)/7
Let a(l) = -l + 14. Let h be a(8). Let k(u) be the second derivative of 0*u**2 - 1/30*u**h + u + 0*u**5 + 0*u**3 + 1/12*u**4 + 0. Factor k(i).
-i**2*(i - 1)*(i + 1)
Let q(j) be the second derivative of j**6/120 + 3*j**2/2 - 2*j. Let l(v) be the first derivative of q(v). Factor l(s).
s**3
Let g(i) be the second derivative of -i**5/30 + i**4/18 - 2*i. Factor g(s).
-2*s**2*(s - 1)/3
Suppose 4*v - 14 - 2 = 0. Factor 11*t**2 - 42*t**3 + t**2 + 3*t**v + 0*t**2 + 30*t**3.
3*t**2*(t - 2)**2
Let w(k) be the second derivative of 1/2*k**3 - 1/2*k**2 + 1/20*k**5 + 0 - 1/4*k**4 - 6*k. Determine r, given that w(r) = 0.
1
Let q(u) = 5*u**4 - 3*u**3 - 9*u**2 - u. Let d(f) = -4*f**4 + 2*f**3 + 8*f**2 + 2*f. Let r(s) = 3*d(s) + 2*q(s). Determine v, given that r(v) = 0.
-1, 0, 2
Let f(j) be the third derivative of -j**8/504 + j**7/315 + j**6/180 - j**5/90 - 9*j**2. Solve f(c) = 0.
-1, 0, 1
Let u be 4 - (2 - (-20)/16). Suppose 1/2*i + 0 + 1/4*i**3 + u*i**2 = 0. What is i?
-2, -1, 0
Factor -5 + 3 + 0 + 0*j**2 + 3*j - j**2.
-(j - 2)*(j - 1)
Let j(c) = 2*c**2 - 5*c - 8. Let f be j(4). Let 8/3*g**2 + 0 - 8/3*g + 2*g**3 + 2/3*g**5 - 8/3*g**f = 0. Calculate g.
-1, 0, 1, 2
Suppose -5*s + 38 = -2*h, 4*h + 12 = h. Suppose -4*p = 5*j + 4, -3*j - p - 1 = -0*p. Factor -2*l**2 + j + s - 1 - 3.
-2*(l - 1)*(l + 1)
Let p(w) be the first derivative of w**4/20 - w**3/10 - 3*w**2/5 + w - 5. Let z(s) be the first derivative of p(s). Solve z(c) = 0.
-1, 2
Let r(o) be the first derivative of -4/25*o**5 - 1/5*o**2 + 4/15*o**3 + 0*o + 0*o**4 - 2 + 1/15*o**6. Solve r(w) = 0.
-1, 0, 1
Let r = -2/23 - -52/69. Let n = 11 + -9. Factor -6*l**n + 4*l - r.
-2*(3*l - 1)**2/3
Let t(x) be the third derivative of 1/6*x**4 + 0*x + 0 - 1/30*x**5 - 1/60*x**6 + 0*x**3 - 9*x**2. Suppose t(i) = 0. Calculate i.
-2, 0, 1
Let 0*m**2 - 6/7*m**4 - 4/7*m**3 + 0 + 0*m + 10/7*m**5 = 0. What is m?
-2/5, 0, 1
Let t(x) be the second derivative of 3/4*x**2 + 0 + 3/20*x**5 + 5*x - 1/2*x**3 - 1/20*x**6 + 0*x**4. Solve t(m) = 0.
-1, 1
Let o(b) be the second derivative of -b**4/3 - 16*b**3/3 - 32*b**2 + 2*b. Determine t so that o(t) = 0.
-4
Let -327*w**2 - w**3 + 327*w**2 = 0. Calculate w.
0
Let j be 2760/80*(-4)/(-6). Solve j*u**3 + 12*u**2 + 1/2*u + 9/2*u**5 - 1 + 17*u**4 = 0 for u.
-1, 2/9
Let j(f) = -2*f**3 + 10*f + 4. Let r(n) = -2*n**3 + n**2 + 11*n + 5. Let c(x) = 5*j(x) - 4*r(x). Factor c(y).
-2*y*(y - 1)*(y + 3)
Let s = -13 + 11. Let p be 7 - 4 - (1 - s). Let 1/3*l**2 - 1/3 + p*l = 0. What is l?
-1, 1
Let d(b) be the third derivative of -1/75*b**5 + 0 + 0*b + 3*b**2 - 1/100*b**6 + 0*b**3 + 1/60*b**4. Factor d(l).
-2*l*(l + 1)*(3*l - 1)/5
Factor 2/5*p**3 + 0 - 2/5*p**5 - 2/5*p**2 + 2/5*p**4 + 0*p.
-2*p**2*(p - 1)**2*(p + 1)/5
Let z(v) be the second derivative of -v**7/105 - 2*v**6/75 + 5*v. Solve z(w) = 0.
-2, 0
Suppose 2*g**2 - 10/3*g - 50/9 - 2/9*g**3 = 0. What is g?
-1, 5
Suppose -12 = -92*l + 89*l. Factor -1/5*w**l + 0 + 0*w - 1/5*w**2 + 2/5*w**3.
-w**2*(w - 1)**2/5
Suppose -25*q + 28*q = 0. Factor q + 2/5*z**5 - 2/5*z**2 + 0*z - 2/5*z**3 + 2/5*z**4.
2*z**2*(z - 1)*(z + 1)**2/5
Let o(q) = -q**2 - q + 11. Let z be o(0). Let w = z + -4. Find d, given that 2 + 0*d**2 + 2*d**4 - 14*d**3 + w*d**5 + 7*d - 4*d**2 + 0*d**2 = 0.
-1, -2/7, 1
Let n(y) = -y. Let k(j) be the first derivative of -j**3/3 + j**2/2 - 2. Suppose 2*d + 2 = d. Let x(u) = d*n(u) - k(u). Solve x(w) = 0.
-1, 0
Let h(g) be the first derivative of -g**2 - 2 - 7/3*g**3 - 5/2*g**4 - 4/15*g**6 - 13/10*g**5 + 2*g. Let n(o) be the first derivative of h(o). Factor n(i).
-2*(i + 1)**3*(4*i + 1)
Let f(j) = 4*j**3 + 3*j**2 + 3*j. Let i(s) = -5*s**3 - 2*s**2 - 4*s - 1. Let n(g) = -3*f(g) - 2*i(g). Factor n(q).
-(q + 1)*(q + 2)*(2*q - 1)
Suppose -2*p + 2 = 12, 5*p = 3*q - 31. Determine m so that m**q - 7*m + 5*m - 2*m**2 = 0.
-2, 0
Suppose -5*j + r + 154 = 15, -3*j + 3*r + 81 = 0. Let x be 69/j - (-2)/7. Factor 0 + 1/2*n + 3*n**3 + x*n**2.
n*(3*n + 2)*(4*n + 1)/4
Let c(j) be the third derivative of -j**7/630 - j**6/60 - 13*j**5/180 - j**4/6 - 2*j**3/9 + 4*j**2. Let c(n) = 0. What is n?
-2, -1
Let x be ((-13)/52)/(1/(-12)). Let i(a) be the first derivative of 0*a**x - 1/2*a**4 + a**2 + 0*a - 1. Suppose i(j) = 0. Calculate j.
-1, 0, 1
Let a(c) = -c**5 - 8*c**4 + 3*c**2 - 4*c - 5. Let d(k) = -k**5 - 4*k**4 + k**2 - 2*k - 3. Let f(s) = 6*a(s) - 10*d(s). Factor f(o).
4*o*(o - 1)**3*(o + 1)
Let c(y) be the third derivative of 0 + 1/50*y**5 - 1/840*y**8 + 0*y - 1/175*y**7 + 0*y**3 - 2*y**2 - 1/300*y**6 + 1/30*y**4. 