ve of 0*q + 5*q**2 + 1/35*q**5 - 1/735*q**7 + 0 + 0*q**6 + 1/7*q**3 + 2/21*q**4. Factor f(k).
-2*(k - 3)*(k + 1)**3/7
Let l(h) = -h**3 - 6*h**2 - 4*h + 7. Let y be l(-5). Let s(w) be the first derivative of 0*w**y + 0*w + 1 + 2/15*w**3. Let s(c) = 0. What is c?
0
Let k(o) = -o**5 - 8*o**4 + 2*o**3 + 7*o**2 - 7*o + 7. Let m(j) = j**4 - j**2 + j - 1. Let r(u) = 3*k(u) + 21*m(u). Determine v so that r(v) = 0.
-2, 0, 1
Let l(a) be the second derivative of -1/480*a**5 - a + 0 + 0*a**4 + 1/3*a**3 + 0*a**2 - 1/1440*a**6. Let h(k) be the second derivative of l(k). Factor h(d).
-d*(d + 1)/4
Suppose -1 - 11 = -3*b. Suppose b*x + f - 34 = -0*f, f = x - 11. Factor 3*q**2 - 33*q**2 - 9*q - 6*q**4 - x*q - 4 - 22*q**3.
-2*(q + 1)**3*(3*q + 2)
Let l(c) be the second derivative of c**5/80 + c**4/12 + c**3/8 + 70*c. Solve l(z) = 0 for z.
-3, -1, 0
Let p(d) be the third derivative of 0*d + 1/15*d**3 + 1/150*d**5 + 1/30*d**4 + 0 - 2*d**2. Factor p(n).
2*(n + 1)**2/5
Determine u so that 3*u**2 + 0*u**2 + 5*u**3 + 2*u**2 = 0.
-1, 0
Find n such that 122*n**4 + 3*n**4 + 240*n**2 - 40*n - 350*n**3 - 20*n**2 = 0.
0, 2/5, 2
Let s = 6/19 - -1/57. Let k(h) be the third derivative of 1/4*h**4 + h**2 + 1/60*h**6 + 0 + 0*h - s*h**3 - 1/10*h**5. Solve k(t) = 0.
1
Let k(s) be the second derivative of s**4/3 - 2*s**2 + 6*s. Factor k(m).
4*(m - 1)*(m + 1)
Let i**2 - 9 - i**2 + 3*i**2 - 6*i = 0. What is i?
-1, 3
Let p be (-2 - -1) + (-3)/(-24)*14. Let -3/4*m**5 + 0 - p*m**2 + 0*m + 3/4*m**3 + 3/4*m**4 = 0. What is m?
-1, 0, 1
Solve 4*d**4 + 38*d**5 - 36*d**5 + 0*d**4 = 0.
-2, 0
Let g(p) be the second derivative of -3*p**8/4480 - p**7/2520 + p**6/160 + p**5/120 + p**4/4 - 3*p. Let n(z) be the third derivative of g(z). Factor n(s).
-(s - 1)*(s + 1)*(9*s + 2)/2
Let g(y) be the first derivative of 2*y**3/21 + 4*y**2/7 + 6*y/7 + 4. Factor g(z).
2*(z + 1)*(z + 3)/7
Let 8*k**2 + 2*k**2 + 0*k - 8*k**2 - 12*k = 0. What is k?
0, 6
Let o(c) = c - 6. Let u be o(9). Factor 12/5*r**2 + 2/5 + 8/5*r**u + 8/5*r + 2/5*r**4.
2*(r + 1)**4/5
Let v(j) = j**3 - 7*j**2 + 8*j - 8. Let y be v(6). Factor 115*m**3 - m**y - 116*m**3 + 2*m**2 + 0*m**2.
-m**2*(m - 1)*(m + 2)
Let n(o) = o**5 + o**4 - o**3 - o. Let k(t) = 6*t**5 - 4*t**3 + 4*t**2 - 6*t. Suppose 0*m = 2*m - 8. Let h(v) = m*n(v) - k(v). Factor h(g).
-2*g*(g - 1)**3*(g + 1)
Let b = 7931/6 + -56849/42. Let i = b + 32. Factor 0 + 2/7*o**3 + 2/7*o**2 - 2/7*o**4 - i*o.
-2*o*(o - 1)**2*(o + 1)/7
Let t(k) = -4*k**2 + 24*k - 16. Let j(p) = -8*p**2 + 49*p - 32. Let z(d) = -4*j(d) + 9*t(d). Factor z(y).
-4*(y - 4)*(y - 1)
Let b(f) be the third derivative of -7*f**2 + 1/42*f**3 + 0 - 1/168*f**6 - 1/24*f**4 + 0*f + 11/420*f**5. Let b(n) = 0. Calculate n.
1/5, 1
Let u(a) = 4*a**4 + 2*a + 3. Let t(l) = -5*l**4 - l**2 - 2*l - 4. Let d(i) = 3*t(i) + 4*u(i). Let d(c) = 0. Calculate c.
-2, 0, 1
Let b(c) be the first derivative of -7*c**4/6 + 4*c**3 + 4*c**2 + 3*c + 2. Let y(p) be the first derivative of b(p). Factor y(s).
-2*(s - 2)*(7*s + 2)
Let k(o) be the first derivative of -1/1080*o**6 + 1/360*o**5 - 1/3*o**3 + 0*o**2 + 0*o + 0*o**4 + 3. Let x(m) be the third derivative of k(m). Factor x(r).
-r*(r - 1)/3
Let q = 5209/4785 - -1/435. Solve -2/11 - 18/11*t**2 - q*t = 0.
-1/3
Let c(i) be the second derivative of i**5/10 + i**4/6 - i**3/3 - i**2 + 30*i. Factor c(o).
2*(o - 1)*(o + 1)**2
Let l be 3/(-6) - 18/(-4). Let q = l + -1. Factor -4*d**3 + 5*d**3 + d + 0*d**q - 2*d**2.
d*(d - 1)**2
Suppose 2*y - 2*j + 4 = 0, 0 = -3*y + 4*j - 0*j - 10. Let v be 8/30 - y/(-5). Factor 0*w - 1/3*w**4 + v*w**3 - 1/3*w**2 + 0.
-w**2*(w - 1)**2/3
Let h = 11 - 8. Let k(i) be the third derivative of 0 - 3*i**2 + 0*i + 0*i**4 + 1/30*i**h - 1/300*i**5. Determine j, given that k(j) = 0.
-1, 1
Let n be -1 + 1 - 2/(-3). Let i be (-20)/6 + 3 + (-10)/(-6). Factor -n*u**3 + 2/3*u + i*u**2 - 4/3.
-2*(u - 2)*(u - 1)*(u + 1)/3
Let c(s) = 13 - 12 - s - 6. Let m be c(-5). Solve 3/5*h**3 + m + 0*h - 6/5*h**2 = 0 for h.
0, 2
Factor 20*n**2 - 35*n + 16*n**3 + 43*n - 2 + 4*n**4 + 2.
4*n*(n + 1)**2*(n + 2)
Let h(w) = -w**2 + 4*w + 4. Let a be h(4). Factor 11*z**2 - 2*z**2 - 6*z**a + 12*z**3 + 9*z**4.
3*z**2*(z + 1)*(z + 3)
Factor 2/3*b**2 - 8/3*b + 2.
2*(b - 3)*(b - 1)/3
Let x(r) be the third derivative of -1/24*r**4 - 1/240*r**6 + 0*r + 0 + 0*r**3 - 2*r**2 + 1/40*r**5. Let x(q) = 0. What is q?
0, 1, 2
Let l(n) be the third derivative of n**6/120 + 3*n**2. Factor l(j).
j**3
Let b = 3218/185 - 22/37. Let l = -1/3624 - -231941/18120. Solve 206/5*v**4 + 178/5*v**3 + 8/5*v + l*v**2 + 0 + b*v**5 = 0.
-1, -2/3, -1/2, -2/7, 0
Let b(i) be the second derivative of -i**5/20 + i**4/3 - 2*i**3/3 - i. Factor b(t).
-t*(t - 2)**2
Let o(j) = -j**3 + 5*j**2 + 7*j - 4. Let v be o(6). Determine r, given that 6*r - 7 + 0*r**2 + 2 - 2*r**v + 1 = 0.
1, 2
Suppose -4*j - 4 = 0, -4*j - 6 = -w - w. Let i(y) be the first derivative of -w + 0*y**2 + 0*y**3 + 1/6*y**4 + 0*y - 2/15*y**5. Factor i(h).
-2*h**3*(h - 1)/3
Let v be (-3 + (-42)/(-4))*-2. Let n be 2 - -2*v/18. Factor n*c**2 + 4/3*c + 4/3.
(c + 2)**2/3
Suppose 1/6*g**2 + 1/2*g + 0 = 0. Calculate g.
-3, 0
Suppose -7/4*n**5 - 27/4*n**3 + 13/2*n**4 + n + 0 + n**2 = 0. Calculate n.
-2/7, 0, 1, 2
Let c(s) be the first derivative of -s**6/6 - s**5/5 + s**4/2 + 2*s**3/3 - s**2/2 - s - 11. Factor c(x).
-(x - 1)**2*(x + 1)**3
Let z = 9 + -18. Let q be 3 + z/(-6)*-2. What is c in 0*c + 0 - 2/3*c**3 + q*c**2 = 0?
0
Let m(c) = -3*c**4 - 6*c**3 - 5*c**2 + 13*c. Let r(j) = -4*j**4 - 9*j**3 - 7*j**2 + 19*j. Let d(h) = -7*m(h) + 5*r(h). Factor d(v).
v*(v - 2)**2*(v + 1)
Let u(z) = -4 - 2 + 5*z**2 - 9*z + 1. Let w(q) = q**2 - 2*q - 1. Let i(c) = -2*u(c) + 9*w(c). Factor i(r).
-(r - 1)*(r + 1)
Let v = 11 - 27. Let q be 1 + 4*(-4)/v. Determine o so that 2*o**3 + 0 + 2/3*o - 8/3*o**q = 0.
0, 1/3, 1
Let f(n) = n + 7. Let y(r) = r + 8. Let g(c) = -6*f(c) + 5*y(c). Let d be g(-7). Factor -2*t**4 - d*t**3 + 4*t**4 + 3*t**3.
2*t**3*(t - 1)
Let c be 2/(-5) + (-4004)/(-110). Let l = c - 36. Let -2/3*u + l - 2/3*u**3 + 4/3*u**2 = 0. What is u?
0, 1
Let g(w) be the first derivative of -w**3/3 - 3*w**2/2 - 2*w + 10. Let g(n) = 0. Calculate n.
-2, -1
Solve 6*p**3 + 228*p**5 + 0*p**4 - 230*p**5 + 4*p**4 = 0 for p.
-1, 0, 3
Let b = 85/12 - 401/60. Find r, given that b - 3/5*r + 1/5*r**2 = 0.
1, 2
Factor 11/2*t**4 + 9/2*t**2 + t + 0 + 15/2*t**3 + 3/2*t**5.
t*(t + 1)**3*(3*t + 2)/2
Let r(n) be the third derivative of n**7/315 - n**6/180 - n**5/90 + n**4/36 - 5*n**2. Factor r(j).
2*j*(j - 1)**2*(j + 1)/3
Let u = 44 - 41. Let g(f) be the first derivative of 1/5*f**2 - 2 + 8/15*f**u + 0*f. Solve g(m) = 0 for m.
-1/4, 0
Suppose -3*y - 24 = 3*d, y - 4*d - 8 - 9 = 0. Let s be 8/(1 + y/(-3)). Factor 0*o**2 - 4/5*o**3 - 2/5 + 2/5*o**s + 4/5*o.
2*(o - 1)**3*(o + 1)/5
Let h(j) = 385*j**4 - 430*j**3 - 210*j**2 + 560*j - 45. Let l(i) = -35*i**4 + 39*i**3 + 19*i**2 - 51*i + 4. Let z(q) = 6*h(q) + 65*l(q). Solve z(n) = 0.
-1, 2/7, 1
Let b(x) be the second derivative of -5*x**4/3 + 5*x**3/2 + 5*x**2/2 + 15*x. Factor b(u).
-5*(u - 1)*(4*u + 1)
Let t(k) be the third derivative of k**6/270 - k**5/270 - k**4/108 + 5*k**2. Factor t(g).
2*g*(g - 1)*(2*g + 1)/9
Let c = -7 + 3. Let v = c + 9/2. Factor -1/2*g**2 + v*g + 0.
-g*(g - 1)/2
Let h(x) be the first derivative of -x**4/4 + 3*x**3 - 27*x**2/2 + 27*x + 4. Let h(q) = 0. What is q?
3
Let a(k) be the third derivative of k**7/70 + k**6/20 + k**5/20 + 18*k**2. Factor a(i).
3*i**2*(i + 1)**2
Let r = -137 - -1234/9. Let n(t) be the third derivative of 0*t + 0*t**3 + 0 - r*t**4 + 2*t**2 + 2/45*t**5 - 1/180*t**6. Determine l so that n(l) = 0.
0, 2
Factor -3 + 9*w**2 + 6*w**2 - 23*w**2 + 4*w + 7.
-4*(w - 1)*(2*w + 1)
Let q(u) be the second derivative of 3/2*u**2 + 1/180*u**5 + 2*u + 1/720*u**6 + 0 + 0*u**3 + 0*u**4. Let r(f) be the first derivative of q(f). Solve r(v) = 0.
-2, 0
Factor -3/5*n**2 + 0 - 6/5*n + 3/5*n**3.
3*n*(n - 2)*(n + 1)/5
Let d = -252 - -354. Let s = d + -914/9. Determine o, given that -8/9*o**2 - s + 10/9*o + 2/9*o**3 = 0.
1, 2
Let p(w) be the first derivative of 0*w + 2/9*w**3 - 6 - 2/15*w**5 + 0*w**2 - 1/9*w**6 + 1/6*w**4. Factor p(z).
-2*z**2*(z - 1)*(z + 1)**2/3
Let i(h) be the first derivative of -2*h**3/3 + 2*h**2 + 7. Factor i(c).
-2*c*(c - 2)
Factor 3/