**2 + 7*k + 4. Let u(v) = 8*h(v) + 5*o(v). Factor u(l).
-(l - 2)*(l + 1)
Factor 0 + 1/8*j**2 - 3/8*j.
j*(j - 3)/8
Let r(n) = n**2 + 3*n + 3. Let d be 3/2*-2*1. Let k be r(d). Factor -4*l**3 - 2*l**4 + 4*l**k + 2*l**3 + 0*l**4.
-2*l**3*(l - 1)
Let t(m) be the third derivative of m**8/112 + m**7/14 + 3*m**6/20 - m**5/10 - 7*m**4/8 - 3*m**3/2 + 6*m**2. Factor t(d).
3*(d - 1)*(d + 1)**3*(d + 3)
Let j(r) be the first derivative of -1/12*r**3 - 1/4*r**2 + 1 + 0*r. Find m such that j(m) = 0.
-2, 0
Let k(u) be the third derivative of -u**8/168 + 2*u**7/105 + u**6/30 - 4*u**5/15 + 7*u**4/12 - 2*u**3/3 - 8*u**2. Let k(n) = 0. Calculate n.
-2, 1
Let r(q) = -5*q**3 + 20*q + 10. Let p(y) = -y**2 - 1. Let h(x) = -6*p(x) - 3*r(x). Factor h(l).
3*(l - 2)*(l + 2)*(5*l + 2)
Let z = 41/4 + -19/2. Let y = 45/2 + -22. Factor 1/4*j**2 + y + z*j.
(j + 1)*(j + 2)/4
Factor 0 + 4/9*n**3 - 2/9*n**4 + 8/9*n**2 - 16/9*n.
-2*n*(n - 2)**2*(n + 2)/9
Let r(u) be the first derivative of -u**6/600 - u**5/100 - u**4/40 - u**3/30 + 5*u**2 - 4. Let x(j) be the second derivative of r(j). Let x(v) = 0. Calculate v.
-1
Let d = 1061/2 + -530. Suppose -2 - d*m**2 + 2*m = 0. Calculate m.
2
Let z(x) be the first derivative of -25*x**5/2 + 25*x**4/8 + 15*x**3 - 13*x**2 + 4*x - 8. Factor z(s).
-(s + 1)*(5*s - 2)**3/2
Let g(h) be the first derivative of h**7/1680 + h**6/720 + h**3/3 - 2. Let m(i) be the third derivative of g(i). Factor m(t).
t**2*(t + 1)/2
Let w be -5*(-1 + 0) - 3. Determine f so that 3*f**2 - 2*f**w - 3 + 2*f**2 = 0.
-1, 1
Let 0*f + 1/2*f**3 - 1/6*f**5 - 1/3*f**2 + 0*f**4 + 0 = 0. What is f?
-2, 0, 1
Let q(j) be the first derivative of -j**4/8 - 8*j**3/3 - 16*j**2 + 68. Factor q(s).
-s*(s + 8)**2/2
Let p(r) = -2*r + 19. Let z be p(7). Let a(x) be the third derivative of -1/3*x**3 - x**2 + 1/12*x**4 + 0*x + 1/30*x**z + 0 - 1/60*x**6. Factor a(v).
-2*(v - 1)**2*(v + 1)
Let n(x) be the first derivative of -2/3*x**3 + 0*x - 1 + 1/4*x**4 + 1/2*x**2. Factor n(p).
p*(p - 1)**2
Let q(h) be the third derivative of -h**8/6720 - h**7/7560 + h**6/1080 - h**4/8 + 3*h**2. Let u(k) be the second derivative of q(k). Factor u(l).
-l*(l + 1)*(3*l - 2)/3
Suppose -3 - 7*j + 3*j**3 + 0*j**2 + 3*j**2 + 4*j = 0. Calculate j.
-1, 1
Let f = -8 - -11. Suppose -3 + a**f - 2*a**2 + a - 4 + 7 = 0. What is a?
0, 1
Let a(z) = 20*z**4 + 18*z**3 - 56*z**2 + 11*z - 7. Let i(w) = -13*w**4 - 12*w**3 + 37*w**2 - 7*w + 5. Let u(q) = 5*a(q) + 7*i(q). Factor u(g).
3*g*(g - 1)*(g + 2)*(3*g - 1)
Let r(k) = 10*k**3 - 4*k**2 - 7*k + 7. Let n(w) = 9*w**3 - 3*w**2 - 6*w + 6. Let p(o) = -7*n(o) + 6*r(o). Factor p(h).
-3*h**2*(h + 1)
Let f = -88/9 + 91/9. Solve 0 + f*q**2 + q = 0.
-3, 0
Solve -2*p**4 + 16*p - 14*p**3 - 6*p**3 + 8*p**4 - 32 - 2*p**4 + 24*p**2 = 0 for p.
-1, 2
Let r(g) = 6*g**4 - 60*g**3 - 290*g**2 - 500*g - 10. Let v(d) = d**4 + d**2 - 1. Let j(k) = -r(k) + 10*v(k). Factor j(a).
4*a*(a + 5)**3
Let o(m) = 5*m**3 + 28*m**2 - 55*m + 20. Let v(f) = f**3 - f - 1. Let i(t) = o(t) - 2*v(t). Factor i(q).
(q - 1)*(q + 11)*(3*q - 2)
Let d(u) be the third derivative of -u**10/30240 - u**9/2520 - u**8/560 - u**7/315 - u**4/24 - 3*u**2. Let z(k) be the second derivative of d(k). Factor z(v).
-v**2*(v + 2)**3
Let w(a) = -2*a**2 - 36*a + 40. Let z be w(-19). Let n(q) be the second derivative of 0*q**z - 1/21*q**3 + 0 + 1/42*q**4 - 3*q. Factor n(d).
2*d*(d - 1)/7
Find y, given that -5/6*y**3 + 1/3 - 3/2*y + 2*y**2 = 0.
2/5, 1
Let j be -3*(-9)/((-567)/(-56)). Factor 44/3*y**2 - 12*y**3 - j*y + 0.
-4*y*(y - 1)*(9*y - 2)/3
Let h be 9/(-60)*(-4)/3. Suppose 1/5*p**4 + 2/5*p**3 + h*p**2 + 0*p + 0 = 0. What is p?
-1, 0
Let c(y) = y**2 - y. Let p(n) = -n**3 - 3*n**2 + 6*n + 2. Let d be 6/3 + (-8 - -5). Let l(k) = d*p(k) - 3*c(k). Suppose l(m) = 0. Calculate m.
-1, 2
Let m be ((-36)/63)/((3/7)/(-3)). Suppose 0 - 6/7*d**3 + 2/7*d**m + 0*d + 4/7*d**2 = 0. What is d?
0, 1, 2
Suppose -4*p + 14 = -3*r, 3*r - 6*r - 6 = 0. Factor 0*l**5 + 3*l**3 + 4*l**4 - 5*l**3 - 4*l**p + 2*l**5.
2*l**2*(l - 1)*(l + 1)*(l + 2)
Determine q, given that 3/7*q**2 + 0 + 1/7*q**5 + 5/7*q**4 + 0*q + q**3 = 0.
-3, -1, 0
Let q = 51/110 + 2/55. Factor -7/4*b**3 + 7/4*b + q - 1/2*b**2.
-(b - 1)*(b + 1)*(7*b + 2)/4
Let v(z) = -z**2 + 6*z - 3. Let y be v(2). Suppose y = -2*b - 3*b, 0 = 3*x + b - 8. What is t in 1/4*t**x + 0*t - 1/4*t**2 + 0 = 0?
0, 1
Suppose 3*q + 4*b = 18, -q + b - 5 + 4 = 0. Let p(o) be the third derivative of 0*o - q*o**2 + 0*o**3 - 1/180*o**5 + 0 - 1/36*o**4. Factor p(f).
-f*(f + 2)/3
Let f(n) be the second derivative of 2/3*n**2 + 1/60*n**5 + 0 + 0*n**3 - 5*n - 1/12*n**4. Let f(g) = 0. Calculate g.
-1, 2
Let w(l) be the second derivative of -1/165*l**6 + 3*l + 0 - 1/22*l**4 + 3/110*l**5 + 1/33*l**3 + 0*l**2. Solve w(t) = 0.
0, 1
Let l(n) be the first derivative of n**7/630 + n**6/360 - n**5/180 - n**4/72 - 2*n**2 + 3. Let o(i) be the second derivative of l(i). Let o(k) = 0. Calculate k.
-1, 0, 1
Factor -8/5 - 1/5*b**3 - 2*b**2 - 17/5*b.
-(b + 1)**2*(b + 8)/5
Let o(f) be the first derivative of f**4/30 - 2*f**3/45 - f**2/15 + 2*f/15 - 33. Factor o(q).
2*(q - 1)**2*(q + 1)/15
Let r(f) be the third derivative of 0*f**4 - 1/120*f**5 + 1/360*f**6 + 2*f**2 + 0 - 1/3*f**3 + 0*f. Let c(p) be the first derivative of r(p). Factor c(b).
b*(b - 1)
Let s(h) be the first derivative of h**4/18 + 4*h**3/27 - h**2/9 - 4*h/9 + 20. Find k such that s(k) = 0.
-2, -1, 1
Let f(p) = -p**4 - p**3 - p**2 + 1. Let u(n) = -n**5 - 3*n**4 - 8*n**3 - 3*n**2 - 3. Let h(t) = 6*f(t) + 2*u(t). Solve h(k) = 0 for k.
-3, -2, -1, 0
Let x be 2/(2 + 12/(-9)). Suppose -5*v = -x*v. Factor v*j**2 - j**2 - 2*j - 3 + 2.
-(j + 1)**2
Let g(n) be the third derivative of 1/240*n**6 + n**2 - 1/48*n**4 + 0*n + 0 - 1/24*n**3 + 1/840*n**7 + 0*n**5. Determine l, given that g(l) = 0.
-1, 1
Factor 1/2 - 1/3*v - 1/6*v**2.
-(v - 1)*(v + 3)/6
Factor 0*y + 1/3*y**3 + 0*y**2 + 0.
y**3/3
Solve 0*s**4 + 2*s**3 + 4*s**2 + 4*s**4 - s**4 - 5*s**4 = 0 for s.
-1, 0, 2
Let n = 76 + -8. Let m = -202/3 + n. Factor 0 + 4/3*i - m*i**2.
-2*i*(i - 2)/3
Let z(l) be the third derivative of l**6/16 - 31*l**5/60 + 17*l**4/12 - 2*l**3/3 - 65*l**2. Let z(b) = 0. Calculate b.
2/15, 2
Let w be (-269)/270 - 2*1/(-2). Let b(f) be the third derivative of 0 + w*f**5 + 1/54*f**4 + 0*f - f**2 + 1/27*f**3. Find m such that b(m) = 0.
-1
Let h = 3 - -5. Let j be 258/56 + h/32. Factor -22/7*p**2 - 4/7*p + 0 - 10/7*p**5 - j*p**4 - 6*p**3.
-2*p*(p + 1)**3*(5*p + 2)/7
Let f(k) = k**2 - 6*k - 1. Let i be f(6). Let l be (-6)/(-20) - i/5. Suppose 0*t**2 - l*t**3 + 0 - t**4 + 0*t - 1/2*t**5 = 0. Calculate t.
-1, 0
Let q(y) = -y**3 + 5*y**2 + 2. Let w be q(5). Let f = 22 - 0. Solve -13*s**4 - 2*s + w*s**2 - 20*s**2 + 3*s**5 + f*s**3 + 9*s - 1 = 0 for s.
1/3, 1
Let t be 6/8*(4 - 8). Let d = 6 + t. Determine l so that d*l + 1 + 1 - l**3 - 2*l - 2*l**2 + 0*l = 0.
-2, -1, 1
Let f(x) = 4*x**3 + 2*x**2 - 2*x. Let v(q) = -21*q**3 - 11*q**2 + 10*q. Let w(c) = -22*f(c) - 4*v(c). Factor w(g).
-4*g*(g - 1)*(g + 1)
What is t in 6/13*t - 4/13 - 2/13*t**2 = 0?
1, 2
Let n(i) be the second derivative of i**7/231 - 2*i**6/165 - 3*i**5/110 + 2*i**4/33 + 4*i**3/33 - 20*i. Factor n(y).
2*y*(y - 2)**2*(y + 1)**2/11
Let r(o) be the second derivative of -o**5/4 + 5*o**4/12 + 15*o**3/2 - 45*o**2/2 + 49*o. Factor r(b).
-5*(b - 3)*(b - 1)*(b + 3)
Let v be 3 - (-3)/9*-3. Factor -v*u**4 - u - u**2 + 0*u + 3*u**2 + u**5.
u*(u - 1)**3*(u + 1)
Factor -3/7*z**2 + 0*z + 1/7*z**3 + 0.
z**2*(z - 3)/7
Let j(i) be the third derivative of i**5/12 - 5*i**4/3 + 38*i**2. Determine d, given that j(d) = 0.
0, 8
Let d(q) = -5*q**3 + 10*q**2 + 13*q - 2. Let z(b) = -b - 1. Let i(c) = -d(c) + 2*z(c). Factor i(t).
5*t*(t - 3)*(t + 1)
Let j(u) be the first derivative of -u**4/4 + 5*u**3/3 + u**2 - 6*u - 2. Let v be j(5). Factor 4 + v*q + q**2 - 2 + q**2.
2*(q + 1)**2
Let j(l) be the third derivative of -l**7/105 - l**6/30 + 2*l**5/15 + 2*l**4/3 + 7*l**2. Find q such that j(q) = 0.
-2, 0, 2
Let x(h) = -7*h**2 + 5*h - 6. Let v(c) be the third derivative of -c**5/4 + 11*c**4/24 - 13*c**3/6 - 2*c**2. Let o(f) = 6*v(f) - 13*x(f). Factor o(y).
y*(y + 1)
Let r = -494/3 + 165. Factor -1/3*z**4 + r*z**5 + 0*z + 0*z**3 + 0*z**2 + 0.
z**4*(z - 1)/3
Let f(a) be the third derivative of -1/30*a**