+ 630*r**2 - 114*r - 354. Factor z(a).
3*(a - 19)*(11*a - 2)**2/2
Let s(c) = c**3 - c**2 - 7*c + 11. Let f be s(4). Factor -21*y**3 - 118*y**2 + 18 - 8*y - f*y + 40*y**2.
-3*(y + 1)*(y + 3)*(7*y - 2)
Suppose 12 - 1 = 2*w - 5*c, -3*w + 4 = 5*c. Let m(q) be the second derivative of 1/15*q**4 - 1/5*q**2 + 0 + 0*q**3 - 1/75*q**6 - w*q + 0*q**5. Factor m(t).
-2*(t - 1)**2*(t + 1)**2/5
Let d = 63 + -58. Factor 9*u**5 - 12*u**3 + 4*u - d*u**5 + 4*u**3.
4*u*(u - 1)**2*(u + 1)**2
Let o(a) be the second derivative of 0 + 7/30*a**4 + 11/15*a**3 + 8*a + 4/5*a**2. Solve o(q) = 0.
-1, -4/7
Suppose k - 19 = -0*k. Let r = k + -18. Factor 3 - 6*l**2 + 2*l**2 + 6 - r + 4*l.
-4*(l - 2)*(l + 1)
Let d(g) be the second derivative of g**8/20160 + g**7/1512 - 11*g**4/12 - 14*g. Let x(c) be the third derivative of d(c). Factor x(r).
r**2*(r + 5)/3
Let b be 147/180 - 36/45. Let u(d) be the third derivative of 0*d - b*d**5 + 0*d**4 + 0 + 0*d**3 - 1/120*d**6 - 5*d**2. Determine q so that u(q) = 0.
-1, 0
Factor -2 - 15 - 7 - 16*s**2 + 61*s + 39*s.
-4*(s - 6)*(4*s - 1)
Suppose 0*b = -8*b + 1408. Let p = 179 - b. Find s such that 2/7*s**p + 4/7 + 6/7*s**2 - 10/7*s - 2/7*s**4 = 0.
-2, 1
Let c(n) be the first derivative of -3*n**4/20 - 11*n**3/5 + 18*n**2/5 + 12. What is m in c(m) = 0?
-12, 0, 1
Let a(i) be the first derivative of -4*i**5/25 + 6*i**4/5 + 20*i**3/3 + 36*i**2/5 + 56. Factor a(u).
-4*u*(u - 9)*(u + 1)*(u + 2)/5
Suppose -204*l + 954 = 114*l. Factor 1/4*q**l + q**2 + 3/4*q + 0.
q*(q + 1)*(q + 3)/4
Let s(z) = z**3 - 8*z**2 + 11*z - 16. Let i be s(7). Let f = i + -12. What is c in 0*c + f - 1/6*c**2 = 0?
0
Let s = -594 + 594. Let l(q) be the third derivative of 0*q**3 + 6*q**2 + 0 - 1/96*q**4 + s*q + 1/240*q**5. Factor l(h).
h*(h - 1)/4
Let v(x) be the third derivative of x**6/24 - 7*x**5/6 + 125*x**4/24 - 10*x**3 - 215*x**2. What is h in v(h) = 0?
1, 12
Let a(q) be the first derivative of -q**6/10 - 58*q**5/25 - 73*q**4/20 - 6*q**3/5 + 244. Let a(l) = 0. Calculate l.
-18, -1, -1/3, 0
Let p(t) = -t**3 + 5*t**2 - 4*t + 4. Let j be p(4). Factor k**5 - 4*k**2 + 4*k**3 + k**4 - 5*k - 2 + 3*k**j + 2*k**2.
(k - 1)*(k + 1)**3*(k + 2)
Let w(v) be the first derivative of -35/6*v**2 - 25/12*v**4 + 1/3*v**5 + 10/3*v + 14 + 5*v**3. Solve w(r) = 0.
1, 2
Let g(y) = -y + 8. Let j = -9 + 15. Let v be g(j). Let 4 - 4*w**2 + 2*w**v - w - 3*w + 6*w = 0. Calculate w.
-1, 2
Let y = 255 - 255. Let n(v) be the second derivative of y + 1/2*v**3 + v**2 + 1/12*v**4 - 2*v. Factor n(m).
(m + 1)*(m + 2)
Let c(h) = -2*h + 3. Let g be c(0). Let -3*p + 3*p**g + 280 - 280 = 0. Calculate p.
-1, 0, 1
Let q(l) = -l**3 - 17*l**2 + 18*l + 5. Let u be q(-18). Factor 44*m**4 + 245*m**2 + 324*m + 2*m**u + 2*m**5 + 184*m**3 + 115*m**2 + 108.
4*(m + 1)**2*(m + 3)**3
Let m(w) = 238*w**2 - 1843*w + 199. Let z(u) = 80*u**2 - 614*u + 66. Let y(l) = -6*m(l) + 17*z(l). Factor y(g).
-4*(g - 9)*(17*g - 2)
Factor -442368/17 + 248832/17*f - 2/17*f**4 + 292/17*f**3 - 14400/17*f**2.
-2*(f - 48)**3*(f - 2)/17
Let t = 19 - 8. Let u = t - 11. What is c in 0 + u*c + 1/3*c**2 = 0?
0
Let p(x) be the first derivative of x**9/1512 - x**7/105 - x**6/90 + x**5/20 + x**4/6 + 7*x**3 + 22. Let m(k) be the third derivative of p(k). Factor m(u).
2*(u - 2)*(u - 1)*(u + 1)**3
Suppose 7*n - 2*n = 3*g + 38, -g - 3*n - 36 = 0. Let s be (36/g)/(45/(-42)). Determine i so that 2/5*i**2 + s*i**3 + 7/5*i**4 + 2/5*i**5 - 2/5*i - 1/5 = 0.
-1, 1/2
Let d(f) be the third derivative of -f**5/60 - 5*f**4/12 + 10*f**2. Let o be d(-10). Factor 0*b**2 + 3/2*b**3 + 0 + 0*b + o*b**4 - 3/2*b**5.
-3*b**3*(b - 1)*(b + 1)/2
Solve 2/3*u + 1/6*u**3 + 2 - 7/6*u**2 = 0.
-1, 2, 6
Find w, given that 20 + 2/7*w**5 + 368/7*w**3 + 494/7*w + 80/7*w**4 + 92*w**2 = 0.
-35, -2, -1
Let o(h) be the second derivative of 2/21*h**3 + 6*h + 0*h**2 - 1/42*h**4 + 0. Suppose o(i) = 0. Calculate i.
0, 2
Factor 44*u - 74/3*u**2 - 1/3*u**4 - 24 + 5*u**3.
-(u - 6)**2*(u - 2)*(u - 1)/3
Let x(o) = -33*o**2 + 2*o + 1. Let y be x(1). Let w = y - -30. Solve w*v + 1/3 - 1/3*v**2 = 0.
-1, 1
Find g, given that 192*g + 16*g**2 + 1/3*g**3 + 0 = 0.
-24, 0
Let k(d) be the first derivative of d**3/15 - 5*d**2 - 104*d/5 - 82. Determine a so that k(a) = 0.
-2, 52
Factor 10/9*p**2 - 10/9 - 2/9*p**3 + 2/9*p.
-2*(p - 5)*(p - 1)*(p + 1)/9
Let i be 3/((-1)/(20/(-12))). Suppose 3*l = 3*g - 12, i*g - 10 = 2*g + 2*l. Factor 21*u**2 + 27*u**3 - 3*u**3 + 8*u - g*u + 8*u**4 + u**4.
3*u*(u + 1)**2*(3*u + 2)
Let n be 3/((-27)/3)*-18. Let a be 296/176 + n/(-4). Find m such that 2/11 - 2/11*m**2 + 2/11*m**3 - a*m = 0.
-1, 1
Let -41/5*a**4 + 2/5*a**5 - 58/5*a + 56/5*a**3 + 22/5*a**2 + 19/5 = 0. What is a?
-1, 1/2, 1, 19
Let h = -5 - -7. Suppose -2*t - 4*j - 12 = 0, -4*t + 2*j = j - 3. Factor t*o**5 + o**5 - h*o**5 - 3*o**5 + 4*o**4.
-4*o**4*(o - 1)
Determine s so that -3/4*s**2 + 5/8*s**3 + 4 + 1/8*s**4 - 4*s = 0.
-4, 1, 2
Let x(a) = 3*a**2 - 6*a - 7. Let z be x(3). Suppose 13*q**3 + 0*q**3 + 2*q**3 + 5*q**3 + 10*q**4 - 15*q - 5*q**5 - 10*q**z = 0. What is q?
-1, 0, 1, 3
Let o(f) be the second derivative of f**5/4 + 35*f**4/4 - 5*f**3/6 - 105*f**2/2 + 408*f. Solve o(k) = 0 for k.
-21, -1, 1
Let j(z) be the second derivative of z**5/10 + 5*z**4/3 - 4*z**3/3 - 40*z**2 - 3*z - 43. Factor j(o).
2*(o - 2)*(o + 2)*(o + 10)
Let i = -14488/45 - -322. Let b(n) be the third derivative of 0 + 1/90*n**6 + 4*n**2 + 0*n + i*n**5 - 4/9*n**3 - 1/18*n**4. Factor b(z).
4*(z - 1)*(z + 1)*(z + 2)/3
Let q(v) be the second derivative of -v**6/10 + 6*v**5/5 - 13*v**4/4 + 3*v**3 - 121*v. Solve q(l) = 0.
0, 1, 6
Let r(m) be the third derivative of 0 - 5/6*m**3 + 0*m - 1/12*m**4 + 1/180*m**6 + 0*m**5 - 7*m**2. Let w(j) be the first derivative of r(j). Factor w(z).
2*(z - 1)*(z + 1)
Factor 4 + 4*w**2 - 5483*w**3 + 5491*w**3 + w - 11*w + 2*w**5 - 8*w**4.
2*(w - 2)*(w - 1)**3*(w + 1)
What is y in 56*y**3 + 469*y + 444*y**2 + 2*y**4 - 65*y + 324*y + 338 = 0?
-13, -1
Let m(j) be the third derivative of 1/24*j**4 + 0 + j**2 + 0*j**3 + 1/120*j**6 - 1/30*j**5 + 0*j. Factor m(s).
s*(s - 1)**2
Factor -2*k**3 + 1/2*k**4 + 2*k + 3/2*k**2 - 2.
(k - 2)**2*(k - 1)*(k + 1)/2
Let v be 1/3 + 732/9. Let o = 82 - v. Factor -4/3*d + 0*d**2 + 0 + o*d**4 + d**3.
d*(d - 1)*(d + 2)**2/3
Let b be 1/2 - (-21)/(-42). Find i such that 0*i + 2/7*i**4 + b*i**3 - 2/7*i**2 + 0 = 0.
-1, 0, 1
Let t(p) be the third derivative of 0*p**3 + 1/4*p**5 + 0*p + 0 - 1/42*p**7 + 5/12*p**4 + 0*p**6 - 12*p**2. Factor t(x).
-5*x*(x - 2)*(x + 1)**2
Let u = 827/693 - 5/99. Let q be ((-6)/18)/(-1*(-7)/(-105)). Find v, given that -8/7*v + u*v**2 + 0 - 20/7*v**4 + 2*v**3 + 6/7*v**q = 0.
-2/3, 0, 1, 2
Let z(f) = -15*f**4 + 60*f**3 - 90*f**2 + 60*f - 15. Let t(s) = 5*s**4 - 20*s**3 + 30*s**2 - 20*s + 5. Let o(g) = 8*t(g) + 3*z(g). Determine x so that o(x) = 0.
1
Let q(y) be the second derivative of 11*y**6/5 - 83*y**5/10 + 23*y**4/2 - 7*y**3 + 2*y**2 + 137*y. Solve q(f) = 0.
2/11, 1/3, 1
Let v(c) be the third derivative of c**5/240 - 5*c**4/48 + c**3 + 453*c**2. Factor v(p).
(p - 6)*(p - 4)/4
Let w = -42 - -41. Let a(g) = g**2 - 1. Let c(k) = 131*k**2 - 100*k + 14. Let f(i) = w*c(i) + 6*a(i). Find d such that f(d) = 0.
2/5
Let i(x) = -4*x**4 - 8*x**3 - 3*x**2 + 5*x. Let r(g) = 2*g - 12. Let h be r(16). Let c(l) = l**4 + l**3 + l**2 - l. Let s(b) = h*c(b) + 4*i(b). Factor s(a).
4*a**2*(a - 2)*(a - 1)
Let -2/11 - 16/11*z + 62/11*z**2 - 4*z**3 = 0. What is z?
-1/11, 1/2, 1
Let i(g) be the third derivative of g**5/510 + 103*g**4/51 + 42436*g**3/51 - 320*g**2. Factor i(k).
2*(k + 206)**2/17
Let d(l) be the second derivative of l**6/30 + l**5/5 - l**4/12 - 2*l**3/3 - 2*l - 171. Factor d(r).
r*(r - 1)*(r + 1)*(r + 4)
What is v in 14/9*v - 4/9 - 14/9*v**3 + 2/3*v**4 - 2/9*v**2 = 0?
-1, 1/3, 1, 2
Factor -7/3*s + 8/3 - 1/3*s**2.
-(s - 1)*(s + 8)/3
Let u(c) be the second derivative of 3*c**4/4 + 83*c**3/6 + 9*c**2 - 2*c - 55. What is f in u(f) = 0?
-9, -2/9
Let p = -3 + 5. Factor f**p + f**4 + 3 - 3*f + 2*f**3 + f**3 - 5.
(f - 1)*(f + 1)**2*(f + 2)
Solve 40/3*l**2 + 0 + 3*l**3 - 7/3*l**4 - 4*l = 0.
-2, 0, 2/7, 3
Let k(z) be the third derivative of -19/540*z**6 - 3*z**4 + 0 + 0*z + 8*z**3 - 10*z**2 + 1/945*z**7 + 7/15*z**5. Factor k(l).
2*(l - 6)**3*(l - 1)/9
Let o be 1 + (0 - 1 - -2). Suppose -5*t - 1