tive of 3*q**5/20 + 13*q**4/4 + 35*q**3/2 - 147*q**2/2 - 2*q + 2. Factor y(v).
3*(v - 1)*(v + 7)**2
Let x(n) = -n**3 - 5*n**2 - 2*n + 8. Let l be x(-4). Suppose 3*k - k - s = 9, -4*k - 5*s + 39 = l. Factor 0*z**2 + 0*z**2 + 2*z**2 + 4 - k.
2*(z - 1)*(z + 1)
Factor -4*z**2 + 14*z - 10 + 21 - 22*z + 1.
-4*(z - 1)*(z + 3)
Let d(t) be the first derivative of -t**9/3024 + t**8/560 + t**7/840 - 7*t**6/360 + t**4/6 - 9*t**3 + 1. Let j(h) be the third derivative of d(h). Factor j(f).
-(f - 2)**2*(f - 1)*(f + 1)**2
Let q(v) = -9 - v**3 - 3*v + 4*v**2 + 2*v**3 + 0*v. Let a be q(-4). Solve 2*s + s**3 + 4*s**2 + s**a + 62 - 62 = 0.
-1, 0
Let f be -1 - ((-76)/18 + (-4)/(-18)). Suppose z + 5 + 8 = 2*u, -f*u + 2*z = -22. Factor 0*x - 3/4*x**3 - 1/4*x**2 + 0 - 1/4*x**5 - 3/4*x**u.
-x**2*(x + 1)**3/4
Let l = 9430 + -9426. Let 22/5*z**3 + 128/5*z + 84/5*z**2 + 2/5*z**l + 64/5 = 0. Calculate z.
-4, -2, -1
Suppose 20*v = 22*v - 4. Suppose 3*w - v*p = 6, -6*p = -p. Factor -2/3 - 7/3*h + 3*h**w.
(h - 1)*(9*h + 2)/3
Suppose -2*n = 2*n - 8. Let 2*c - c**2 + 0*c**n + c**2 + c**2 = 0. What is c?
-2, 0
Let g = 14 + -16. Let b be (g/(-4))/((-26)/(-8)). Factor 8/13 - 8/13*s**2 + 2/13*s - b*s**3.
-2*(s - 1)*(s + 1)*(s + 4)/13
Factor 150 - 1/6*r**4 - 30*r + 10/3*r**3 - 91/6*r**2.
-(r - 10)**2*(r - 3)*(r + 3)/6
Let d = 3 - 2. Let b be (d - 0)/(-3)*-3. Let a(s) = -s. Let g(p) = -p**3 - 5*p**2 - 2*p - 4. Let o(c) = b*g(c) + 6*a(c). Factor o(l).
-(l + 1)*(l + 2)**2
Let q(f) = 4 + f - 2 - 4. Let y be q(6). Factor 0*d**2 - y*d**2 + 2*d**2 + 2*d**3.
2*d**2*(d - 1)
Let a(l) be the third derivative of -l**6/1380 - 2*l**5/115 - 3*l**4/92 + 22*l**3/69 + 31*l**2 + 1. Let a(n) = 0. Calculate n.
-11, -2, 1
Let u be (-2)/10*-2*(-4)/(-8). Let y = 3/5 - u. Factor 0 + 2/5*d**2 + y*d.
2*d*(d + 1)/5
Let y(x) be the third derivative of x**5/240 - 7*x**4/12 + 98*x**3/3 - 62*x**2. Factor y(o).
(o - 28)**2/4
Let g = -8 - -9. Suppose -2*z = -g - 3. Factor 5*c**2 + 2*c**3 + c**4 + 4 - 8*c**z + 4*c - 4*c**3.
(c - 2)**2*(c + 1)**2
Let d(s) be the second derivative of 1/66*s**4 + 4/33*s**3 + 4/11*s**2 + 0 - 8*s. Solve d(o) = 0 for o.
-2
Let y(j) = 2*j**2 - 17*j - 10. Let d(m) = -10*m**2 + 88*m + 50. Let n(k) = -3*d(k) - 16*y(k). Suppose n(i) = 0. What is i?
-1, 5
Let t(o) = 4*o**2 + 2*o - 3. Let j be t(1). Factor 7*a**4 - 5*a + 20*a**2 - 30*a**j + 14*a**4 - a**4 - 5*a**5.
-5*a*(a - 1)**4
Suppose 4*l - 3*v - 27 = 0, -22*l + 17*l - 2*v = -5. Factor 3/5*g**l - 18/5*g**2 + 0 + 27/5*g.
3*g*(g - 3)**2/5
Let l(w) = -500*w - 1695*w**2 + 224*w - 521*w - 140 - 183*w. Let j(h) = 242*h**2 + 140*h + 20. Let f(a) = 20*j(a) + 3*l(a). Factor f(s).
-5*(7*s + 2)**2
Let l(a) = -a**2 + 2*a + 27. Let n be l(-4). Let t(c) be the second derivative of 0*c**2 - 1/10*c**6 + 1/4*c**4 - c**n - 11*c + 3/10*c**5 + 0. Factor t(m).
-3*m*(m - 2)*(m - 1)*(m + 1)
Let u(s) be the second derivative of -s**5/12 + 5*s**4/3 - 40*s**3/3 + 3*s**2 + 2*s. Let a(x) be the first derivative of u(x). Determine o so that a(o) = 0.
4
Let f(t) be the first derivative of -t**6/300 + 2*t**5/75 - t**4/20 + 10*t**2 - 21. Let v(j) be the second derivative of f(j). Find b such that v(b) = 0.
0, 1, 3
Let v(m) be the third derivative of -1/30*m**5 + 0 + 12*m**2 + 1/3*m**4 - m**3 + 0*m. Factor v(g).
-2*(g - 3)*(g - 1)
Factor -302*z - z**2 - 4*z**2 + 267*z.
-5*z*(z + 7)
What is z in 4 + 5*z**2 + 105*z - 28*z + 43*z + 111 = 0?
-23, -1
Solve 21/5*i + 12/5*i**2 + 1/5*i**3 + 2 = 0.
-10, -1
Factor 567*z - 119*z + 638*z**2 + 3103*z**3 - 256 - 2903*z**3 + 12*z**4 + 254*z**2.
4*(z + 1)*(z + 8)**2*(3*z - 1)
Let x(p) be the first derivative of -2*p**3/3 + 112*p**2 - 6272*p + 298. What is r in x(r) = 0?
56
Suppose -3*b + 20 = b, -2*b + 12 = v. Find g such that 0*g**2 - 3*g**v - 388*g + 394*g = 0.
0, 2
Let g(h) be the third derivative of h**5/30 - h**4/12 - 2*h**3/3 + 71*h**2 - 2*h. Let g(a) = 0. What is a?
-1, 2
Let j(m) be the second derivative of m**7/168 - m**6/8 + 59*m**5/80 - 97*m**4/48 + 3*m**3 - 5*m**2/2 + 411*m. Factor j(p).
(p - 10)*(p - 2)*(p - 1)**3/4
Let v(u) be the first derivative of -5*u**3/3 - 345*u**2 - 23805*u - 67. Factor v(t).
-5*(t + 69)**2
Let i(p) be the second derivative of 6*p - 5/3*p**3 - 5/2*p**2 - 5/12*p**4 + 0. Factor i(f).
-5*(f + 1)**2
Factor 7/8*f**2 - 1/4 + 5/8*f.
(f + 1)*(7*f - 2)/8
Let w = 45/56 + -3/56. Determine y, given that -3/2*y**3 + 3/4 + 3/4*y**5 + 3/4*y + w*y**4 - 3/2*y**2 = 0.
-1, 1
Solve 2/5*a**3 + 96/5 + 16/5*a**2 - 88/5*a = 0.
-12, 2
Find m, given that 64*m**4 + 336*m**3 + 3486*m**2 - 2910*m**2 + 7*m**5 - 3*m**5 = 0.
-6, -4, 0
Let b(v) = v - 1. Let j(y) = -y**2 + 15*y**2 + 7*y**2 - 6*y**2 - 6 - 9*y. Let x(z) = -4*b(z) + j(z). Factor x(l).
(l - 1)*(15*l + 2)
Let m(v) be the third derivative of -v**5/100 - 11*v**4/40 - 4*v**2 + 30. Find j, given that m(j) = 0.
-11, 0
Suppose -3*f + 11 - 2 = 0. Let b(r) be the third derivative of -8*r**2 + 0 - 1/24*r**4 + 1/120*r**5 + 0*r + 0*r**f. Solve b(q) = 0.
0, 2
Let m(u) = 2*u + 48. Let f be m(-21). Let w(y) = -y**2 + y + 1. Let c(a) = -5*a**2 + 9*a + 6. Let n(i) = f*w(i) - c(i). Factor n(q).
-q*(q + 3)
Let h(p) be the first derivative of -p + 1/66*p**4 - 1/33*p**3 + 0*p**2 + 7. Let b(u) be the first derivative of h(u). Find x, given that b(x) = 0.
0, 1
Let p(g) = -g - 2. Let v be p(-2). Let c = -2/5309 - -10648/79635. Factor v - c*m**2 + 2/15*m.
-2*m*(m - 1)/15
Let d = -4/15 + 1/3. Let b(u) be the first derivative of 0*u + 3 + 1/4*u**4 - d*u**5 + 1/6*u**2 - 1/3*u**3. Find x such that b(x) = 0.
0, 1
Let x be (1/2)/((-7)/(-406)). Let k = x + -27. Find w such that -32/7 - 16/7*w - 2/7*w**k = 0.
-4
Solve -3/2*l**2 + 0*l - 3/4*l**3 + 0 = 0.
-2, 0
Let h be (248/912 + 34/(-323))*(9 + 0). Factor 0 + 4*s**2 - 8/3*s - h*s**3.
-s*(3*s - 4)**2/6
Factor 0*n + 0 + 4/3*n**3 + 4/3*n**2.
4*n**2*(n + 1)/3
Let q be 5 - ((-26)/39)/(2/(-3)). Let n(z) be the third derivative of 0*z + 0 + 1/48*z**q + 3*z**2 + 0*z**3 - 1/240*z**5. Factor n(k).
-k*(k - 2)/4
Solve 9*g**3 + 1/2*g**4 - g**5 + 0 - 20*g - 2*g**2 = 0 for g.
-2, 0, 2, 5/2
Suppose 3 = b - 4*b, -5*d + 4*b = -14. Factor 0*y + 8*y - d*y**2 + 4*y - 18.
-2*(y - 3)**2
Let c be -3*4/(12/9). Let p = c + 12. What is k in -4*k - 3*k**2 - 2*k + k - k - p = 0?
-1
Let o = 8169/2 - 4083. Factor -o - 21/4*n**2 + 27/4*n.
-3*(n - 1)*(7*n - 2)/4
Let -2 - 10*d**2 + 15 + 5*d**2 + 0*d**2 + 7*d - 7 - 7*d**3 - d**4 = 0. Calculate d.
-6, -1, 1
Let g(w) = -14*w**2 + 18*w - 14. Let m(f) = 3*f**2 - f. Let a(x) = -g(x) - 5*m(x). Factor a(b).
-(b - 1)*(b + 14)
Let z be (-4)/(-14) + (-99)/(-21). Suppose z*g = -0*g. Find s, given that 3 - 3*s**2 - 9 + g*s**2 - 9*s = 0.
-2, -1
Let w be 1*(-5 - -4) - (-7 + 6). Let z(k) be the first derivative of -10/3*k**3 + w*k - 1/2*k**4 - 2 + 2/5*k**5 - 3*k**2. Factor z(f).
2*f*(f - 3)*(f + 1)**2
Let i be (-3)/4 + (-184)/(-32). Let q be i - (4 - 2) - 24/10. Solve -q*m**2 + 6/5*m - 3/5 = 0.
1
Let j(s) = s + 11. Let i be j(-7). Let h be (8 + -2)*2/i. Let 87 + 9*r**4 + 12*r**3 + h*r**2 - 87 = 0. What is r?
-1, -1/3, 0
Factor -14/19*j**2 - 2/19*j**4 + 0 - 16/19*j**3 + 0*j.
-2*j**2*(j + 1)*(j + 7)/19
Let x(m) be the third derivative of -m**6/80 + 143*m**5/40 - 283*m**4/16 + 141*m**3/4 + 51*m**2 - 1. Let x(p) = 0. What is p?
1, 141
Suppose -5*v = -h + 8 - 13, 0 = -5*h + v - 1. Factor 0 + 2/7*b**2 - 2/7*b**3 + h*b.
-2*b**2*(b - 1)/7
Let s(j) be the first derivative of -3*j**5/5 - 6*j**4 + 20*j**3 + 661. Factor s(y).
-3*y**2*(y - 2)*(y + 10)
Let h be -3 + 530/75 + -4. Let x(c) be the second derivative of -3/50*c**5 + 0 - 2/15*c**4 + h*c**3 + 2/5*c**2 - 3*c. Factor x(w).
-2*(w + 1)**2*(3*w - 2)/5
Let j(p) be the second derivative of 0*p**2 + 10*p - 1/4*p**5 + 0 + 5/12*p**4 + 5/3*p**3. Factor j(m).
-5*m*(m - 2)*(m + 1)
Let q(o) be the second derivative of -o**6/72 - o**5/40 + o**4/12 + 7*o**3/6 + 11*o. Let z(h) be the second derivative of q(h). Factor z(y).
-(y + 1)*(5*y - 2)
Let r(n) = -2*n**3 + 5*n**2 + 2. Let x be r(2). Factor 8 + 0 + 6*c**2 - 12*c - 2*c**3 - x*c**3 + 7*c**3.
-(c - 2)**3
Let n = -13684 - -123170/9. Factor 2/9*w**3 - 32/9 + n*w**2 + 16/9*w.
2*(w - 1)*(w + 4)**2/9
Let c(v) be the first derivative of -14*v**2 - 24 + 21*v**2 + 17*v**2 + 2*v**3 + 192*v - v**3. Solve c(i) = 0 for i.
-8
Let w(o) be the third derivative of -o**5/300 + 2*o**4/