 25*l**3 - 4*l**2 - 9*l + 1. Let s(d) = d**5 - d**4 - d**3 - d - 1. Let q(j) = 2*m(j) + 18*s(j). Solve q(t) = 0.
-4, -1, 1
Let f = 28/151 - 9089/49830. Let h(u) be the third derivative of 0*u**4 + 1/1155*u**7 + 0*u**5 + 10*u**2 + 0 + 0*u**3 + f*u**6 + 0*u. Factor h(x).
2*x**3*(x + 2)/11
What is l in 1/4*l**2 - 1/4 + 0*l = 0?
-1, 1
Let o(u) = 3 + 5 + 0 - 6*u + 6. Let s be o(2). Find x, given that -4/9*x**3 - 2/9*x + 0 + 8/9*x**s - 8/9*x**4 + 2/3*x**5 = 0.
-1, 0, 1/3, 1
Let w(n) = 2*n**2 + n - 1. Let i(p) = 11*p**2 - 10*p - 21. Let s(b) = 4*i(b) - 20*w(b). Solve s(f) = 0 for f.
-1, 16
Suppose 109*g = 104*g + 30. Let k(v) be the second derivative of 7*v - 1/18*v**3 + 0*v**2 + 1/126*v**7 - 1/18*v**4 + 0*v**5 + 1/45*v**g + 0. Factor k(o).
o*(o - 1)*(o + 1)**3/3
Let b(g) = -g**4 - 4*g**3 - 9*g**2 - 4*g - 4. Let z(o) = o**2 + 1. Suppose 5*t + 13 = -2. Let i(n) = t*z(n) - b(n). What is d in i(d) = 0?
-1
Let n(d) be the first derivative of -1/12*d**4 - 1/3*d + 1/9*d**3 - 9 + 1/6*d**2. Factor n(t).
-(t - 1)**2*(t + 1)/3
Let j(c) be the first derivative of -23*c**2 - 125*c**4 + 6 + 100*c**3 - 16*c + 44*c**2 - 21*c**2. Factor j(k).
-4*(5*k - 2)**2*(5*k + 1)
Let k(p) be the third derivative of -2/3*p**3 + 13/12*p**4 - 1/15*p**6 - 3/5*p**5 + 7*p**2 + 0*p + 0 - 3/56*p**8 + 4/21*p**7. Determine j so that k(j) = 0.
-1, 2/9, 1
Let a = 67/11 + -5. Factor 0 + 6/11*u**5 - 18/11*u**3 - 24/11*u**2 + a*u**4 + 24/11*u.
6*u*(u - 1)**2*(u + 2)**2/11
Let x(n) be the second derivative of -2*n**6/15 + n**5/5 + 2*n**4/3 + 7*n + 2. Factor x(t).
-4*t**2*(t - 2)*(t + 1)
Let p(o) be the second derivative of -o**4/36 - 7*o**3/9 - 49*o**2/6 + 2*o + 2. Factor p(s).
-(s + 7)**2/3
Let f(r) be the third derivative of -2*r**7/35 - r**6/15 + r**5/15 + 12*r**2 - 3. Let f(i) = 0. What is i?
-1, 0, 1/3
Let a(i) = 2*i**3 - 43*i**2 - 232*i - 50. Let h be a(26). Determine v so that -6*v - 3/2*v**h - 6 = 0.
-2
Let i(g) = 88*g**2 + 24*g - 12. Let f(c) = c**3 - 176*c**2 - 49*c + 22. Let k(w) = -6*f(w) - 11*i(w). Factor k(j).
-2*j*(j - 15)*(3*j + 1)
Let v = 8491 - 8491. Factor -1/3*c + 0*c**2 + 1/3*c**3 + v.
c*(c - 1)*(c + 1)/3
Let j(b) be the first derivative of -b**5/5 - 5*b**4/4 + 7*b**3 - 23*b**2/2 + 8*b - 152. Factor j(r).
-(r - 1)**3*(r + 8)
Let y(u) be the second derivative of -u**6/30 - 3*u**5/10 - u**4 - 5*u**3/3 - 3*u**2/2 - 264*u. Factor y(c).
-(c + 1)**3*(c + 3)
Let p(f) be the first derivative of 3/14*f**2 - 3/28*f**4 - 1/7*f**3 + 3/7*f + 9. Find o such that p(o) = 0.
-1, 1
Let w(n) be the second derivative of n**4/8 + 39*n**3 + 4563*n**2 + 2*n + 331. Factor w(p).
3*(p + 78)**2/2
Factor 0 - 1/5*u**3 + 2*u**2 - 3/5*u**4 + 0*u.
-u**2*(u + 2)*(3*u - 5)/5
Let v(k) be the first derivative of -k**6/6 + 8*k**5/5 - 15*k**4/4 - 4*k**3/3 + 10*k**2 + 533. Factor v(d).
-d*(d - 5)*(d - 2)**2*(d + 1)
Suppose 0 = -9*y + 11 + 16. Factor 15*z**4 + 63*z**2 + 6 + 33*z + 35*z**y + 22*z**3 - 6*z**3.
3*(z + 1)**3*(5*z + 2)
Let o(z) be the first derivative of -z**5/15 - z**4/12 + 19*z**2/2 - 26. Let h(i) be the second derivative of o(i). Solve h(m) = 0.
-1/2, 0
Let c(q) be the third derivative of 3*q**5/40 - 49*q**4/16 + 4*q**3 - 135*q**2. Factor c(n).
3*(n - 16)*(3*n - 1)/2
Let s be (-3)/12 - 78/(-24) - (-4)/(-8). Factor -q**2 - s + 11/2*q.
-(q - 5)*(2*q - 1)/2
Let o(f) be the first derivative of -f**3/9 + 2*f**2/3 - f - 109. Solve o(t) = 0.
1, 3
Let m(w) be the second derivative of w**4/3 - 2*w**3 - 112*w + 2. Suppose m(d) = 0. Calculate d.
0, 3
Let f(p) be the third derivative of 0 + 1/105*p**6 - 1/42*p**4 + 1/245*p**7 + 0*p - 1/42*p**5 + 12*p**2 + 0*p**3. Suppose f(l) = 0. Calculate l.
-2, -1/3, 0, 1
Factor -2*c**3 + 0 + 0*c - 8/5*c**2 - 2/5*c**4.
-2*c**2*(c + 1)*(c + 4)/5
Let t(g) be the third derivative of -g**7/315 + g**6/180 + g**5/45 - 3*g**2 - 6. Let t(k) = 0. Calculate k.
-1, 0, 2
Suppose -b = 33*b - 136. Determine k so that -1/6*k**b + 1/6*k**5 - 5/3*k**3 - 4/3*k**2 + 0 + 0*k = 0.
-2, -1, 0, 4
Suppose 2*j - 26 = 86*w - 89*w, 2*j = -2*w + 20. Solve 2/9*f**5 + 0 - 8/9*f**j + 10/9*f**3 + 0*f - 4/9*f**2 = 0.
0, 1, 2
Let y(m) be the third derivative of m**6/180 - m**4/4 + 93*m**2. Factor y(a).
2*a*(a - 3)*(a + 3)/3
Let z(l) = -l. Let m(y) = -3*y**3 + 9*y**2 + 3*y - 12. Let c = 113 - 116. Let s(r) = c*z(r) - m(r). Determine u, given that s(u) = 0.
-1, 2
Let t = 3920 - 3917. What is i in 0*i + 3/4*i**t - 3/4*i**5 - 3*i**4 + 3*i**2 + 0 = 0?
-4, -1, 0, 1
Suppose -1 = r + 5*h, 17 = -r + 4*r - 5*h. Let s be (-63)/14*(-2)/3. Factor -2*i**3 - r*i**3 + 3*i**s + 10*i**2 - 8*i**2.
-i**2*(3*i - 2)
Let q(y) = -y**2 + 94*y + 4852. Let u be q(-37). Factor -1/2*c**2 + 1/4*c + 1/4*c**u - 1/2*c**3 + 1/4 + 1/4*c**4.
(c - 1)**2*(c + 1)**3/4
Let p(b) be the first derivative of 1/40*b**5 + 1/16*b**4 - 1/2*b**3 + 7/8*b**2 - 11 - 5/8*b. Factor p(i).
(i - 1)**3*(i + 5)/8
Let g(h) be the third derivative of -2*h**7/105 + h**6/10 + h**2 - 3*h. Factor g(p).
-4*p**3*(p - 3)
Let c(r) be the third derivative of 0 + 0*r - 1/9*r**3 + 1/180*r**5 + 1/72*r**4 - 21*r**2. Solve c(t) = 0.
-2, 1
Let v(s) = s**3 - 14*s**2 + 37*s + 15. Let f be v(4). Let z(q) be the first derivative of 3 - q - q**f - 3/2*q**2 - 1/4*q**4. Factor z(w).
-(w + 1)**3
Let j(w) be the second derivative of -w**4/6 + w**3/6 - 5*w**2/2 + 16*w. Let v(n) = -4*n**2 + n - 11. Let y(d) = -14*j(d) + 6*v(d). Find q such that y(q) = 0.
1
Let m(s) be the first derivative of s**3 - 15*s**2 - 142. Suppose m(j) = 0. Calculate j.
0, 10
Let m(o) = -o**5 + 5*o**4 - 3*o**3 - 3*o**2 + 10*o - 4. Let s(j) = -2*j**5 + 10*j**4 - 4*j**3 - 7*j**2 + 21*j - 8. Let n(i) = -5*m(i) + 2*s(i). Factor n(k).
(k - 2)**2*(k - 1)**2*(k + 1)
Let i = 67/46 - 511/414. Find u, given that 8/9*u**2 + 0 + i*u**3 + 8/9*u = 0.
-2, 0
Let m(d) = 4*d**4 - 14*d**3 + 14*d**2 - 2. Let l(t) = -t**4 + t**3 + t**2. Suppose -3 = -4*f + 5. Let n(p) = f*l(p) - m(p). Suppose n(i) = 0. Calculate i.
-1/3, 1
Let g(n) = n. Let r be g(10). Factor r*o**3 + 4*o**2 - o**3 - o**2 + 0*o**3.
3*o**2*(3*o + 1)
Let z(c) = c**2 + 14*c + 48. Let h be z(-9). Let u(o) be the second derivative of 1/72*o**4 + 3/4*o**2 - 7*o + 0 - 1/6*o**h. Factor u(p).
(p - 3)**2/6
Let c = 8 - 12. Let i(d) = 3*d**2 - 6*d - 3. Let k(u) = 3*u**2 - 6*u - 4. Suppose 3 = 2*j - j. Let v(p) = c*i(p) + j*k(p). Let v(n) = 0. What is n?
0, 2
Determine o so that -35/2*o + 25/4 - 5/2*o**3 - 5/4*o**4 + 15*o**2 = 0.
-5, 1
Let i(c) be the first derivative of -c**4/24 + 7*c**3/18 - 2*c**2/3 - 8*c/3 + 288. Factor i(q).
-(q - 4)**2*(q + 1)/6
Let s = -111 + 114. Let t(g) be the first derivative of -8 + 0*g**s + 1/4*g**4 + 0*g**2 + 0*g. Factor t(j).
j**3
Let x = 601 - 1195/2. Factor 3*j + x - 1/2*j**2.
-(j - 7)*(j + 1)/2
Suppose -972/7*w**3 - 5/7 - 522/7*w**2 + 216/7*w**4 - 89/7*w = 0. What is w?
-1/6, 5
Factor 16/5*m**2 + 0 + 24/5*m + 2/5*m**3.
2*m*(m + 2)*(m + 6)/5
Let m = -6377 + 6381. Determine o so that 2/7*o**3 + 2/7*o**m + 0*o**2 + 0*o + 0 = 0.
-1, 0
Let p(b) be the second derivative of 7/9*b**4 - 4/3*b**2 + 10/9*b**3 - 16*b + 0. Let p(x) = 0. Calculate x.
-1, 2/7
Let n(h) be the third derivative of -h**6/1320 + 2*h**5/55 - 23*h**4/264 - 48*h**2. Factor n(q).
-q*(q - 23)*(q - 1)/11
Let u be -5*-6*48/120*(-2)/(-30). Suppose 0*c - u*c**3 - 16/5 + 12/5*c**2 = 0. Calculate c.
-1, 2
Let m = -139 - -144. Let j(f) be the first derivative of 0*f**3 - 1/2*f**2 - 1/6*f**6 + 1/2*f**4 + 0*f**m + 0*f - 11. Factor j(d).
-d*(d - 1)**2*(d + 1)**2
Let x be (3/(-42))/(105/(-140)). Let i(n) be the first derivative of 1/7*n**2 + 2 - x*n**3 + 4/7*n. Suppose i(t) = 0. Calculate t.
-1, 2
Suppose 232*d - 216*d = 0. Factor -6/7*z + d + 2/7*z**4 - 2/7*z**2 + 6/7*z**3.
2*z*(z - 1)*(z + 1)*(z + 3)/7
Let p(d) be the first derivative of -5*d**4/4 - 280*d**3/3 - 1960*d**2 - 369. Suppose p(h) = 0. Calculate h.
-28, 0
Let k = 56 - 52. Suppose -6*n**2 + 9*n**k - 7*n**4 + 7*n**4 - 6*n**5 + 9*n**3 = 0. What is n?
-1, 0, 1/2, 2
Let z(m) = 2*m**4 - m - 1. Let p(c) = 14*c**4 - 56*c**3 + 18*c**2 - 4*c - 4. Let l(y) = p(y) - 4*z(y). Factor l(q).
2*q**2*(q - 9)*(3*q - 1)
Let r(z) be the first derivative of z**3/33 - 4*z**2/11 - 41. Factor r(x).
x*(x - 8)/11
Let f(v) be the second derivative of 1/54*v**4 - v + 0 - 1/270*v**5 - 3*v**2 - 1/27*v**3. Let y(x) be the first derivative of f(x). Factor y(w).
-2*(w -