**3 + 8*i**2 - 6*i + 6. Let s(r) = -3*r - 1. Let k be s(2). Let j(x) = -x**3 + 7*x**2 - 5*x + 5. Let b(p) = k*j(p) + 6*c(p). Factor b(l).
(l - 1)**2*(l + 1)
Factor -60 + 12*a - 3/5*a**2.
-3*(a - 10)**2/5
Let k(t) = 17*t**3 + 5*t**2 - 4*t - 5. Let c = 1 - 7. Let a(p) = 4*p**3 + p**2 - p - 1. Let v(q) = c*k(q) + 26*a(q). Determine b so that v(b) = 0.
-1, 1, 2
Let j = -10 - -15. Suppose -j*y + 25 + 7 = 4*c, -3*c = -5*y + 11. Factor -5*r**c + 6*r**3 + r**5 + 2*r**4 + 0*r**4.
r**3*(r + 1)**2
Factor -2*c - 31*c**3 + c**4 - 2*c**4 + 27*c**3 - 5*c**2.
-c*(c + 1)**2*(c + 2)
Let n(d) be the third derivative of d**8/2520 - d**7/630 - d**6/540 + d**5/90 + 5*d**3/3 - 2*d**2. Let o(p) be the first derivative of n(p). Factor o(z).
2*z*(z - 2)*(z - 1)*(z + 1)/3
Let s(a) be the third derivative of -a**5/240 + a**4/32 - 35*a**2 - 2. Determine r, given that s(r) = 0.
0, 3
Let y(p) be the second derivative of 0*p**2 - 2*p + 0 + 0*p**3 + 1/120*p**6 + 0*p**5 - 1/168*p**7 + 0*p**4. Factor y(u).
-u**4*(u - 1)/4
Let d(a) = 5*a**2 + 2*a + 5. Let f(r) = -6*r**2 - 3*r - 5. Let j(l) = 7*d(l) + 6*f(l). Factor j(c).
-(c - 1)*(c + 5)
Let g be 274/15 - 9/15. Let l = 18 - g. Solve 1/3*h**4 + 4/3*h + 4/3*h**3 + l + 2*h**2 = 0.
-1
Let s(d) be the third derivative of d**6/1020 - d**5/510 + 4*d**2. Find n, given that s(n) = 0.
0, 1
Let x be (4/(-8))/(2 + -4). Suppose -1/4*u**5 - x*u + 1/2*u**2 - 1/4*u**4 + 1/2*u**3 - 1/4 = 0. Calculate u.
-1, 1
Let q(t) = -t**3 - t**2 + 5*t - 3. Let l = -8 - -5. Let g be q(l). Determine s so that -1/6*s + g + 1/6*s**2 = 0.
0, 1
Let r(a) = -a**3 - 3*a**2 - 2*a. Let p(f) = 4*f + 2*f**2 + 2*f**3 + 4*f**2 + 0*f**3 + 0*f**3. Let b(w) = 2*p(w) + 5*r(w). Let b(u) = 0. What is u?
-2, -1, 0
Determine j, given that -8*j**4 + 2*j**4 - 9*j**4 - 35*j**3 + 3*j**4 - 24*j**2 - 4*j = 0.
-2, -2/3, -1/4, 0
Let d(i) be the second derivative of 0*i**2 - 1/9*i**3 + 1/36*i**4 + 0 + i. Factor d(v).
v*(v - 2)/3
Suppose 0 - 18 = -3*h. What is o in -3*o**3 - 4*o**3 + o**3 - 3*o**4 + 6*o + h*o**2 - 3*o**2 = 0?
-2, -1, 0, 1
Factor 35*q**2 + 29*q**3 + 11*q - 14*q - 20 + 15*q**4 + 23*q - 79*q**3.
5*(q - 2)*(q - 1)**2*(3*q + 2)
Suppose 3*i = -4*d - 3, 5*i = -d + 6*i + 1. Factor 1/3*n**2 + 0*n + d.
n**2/3
Let h(w) be the second derivative of -1/24*w**4 + 0 + 0*w**3 - 1/20*w**5 - 3*w - 1/60*w**6 + 0*w**2. What is m in h(m) = 0?
-1, 0
Let u = 137/8 + 29/24. Let b = -18 + u. Factor b*l**3 - 1/3*l + 0 + 0*l**2.
l*(l - 1)*(l + 1)/3
Let a(v) be the second derivative of v**4/3 + 10*v**3/3 + 45*v. Find x such that a(x) = 0.
-5, 0
Let c(m) = 5*m. Let n(q) = q**2 - q. Let w(s) = c(s) + 4*n(s). Factor w(t).
t*(4*t + 1)
Let f = -31 + 31. Let v(t) be the first derivative of 2/33*t**3 + 0*t - 1 + 2/55*t**5 + f*t**2 - 1/11*t**4. Let v(g) = 0. What is g?
0, 1
Suppose -17 = -3*v + 5*k - 6, -v + k = -7. Suppose 0 = 5*f - 8*f + v. Factor 0 + 1/2*j**5 + 0*j**2 + 0*j**f - 1/2*j**3 + 0*j.
j**3*(j - 1)*(j + 1)/2
Let p(w) be the third derivative of 3*w**8/112 + w**7/105 + 10*w**2. Suppose p(i) = 0. Calculate i.
-2/9, 0
Determine h so that 6*h**4 + 2*h**2 + 7*h**3 + h**3 + 2*h**5 + h**3 - 3*h**3 = 0.
-1, 0
Let u = 6 - 4. Let l be (-1)/1 - (-5)/3. Factor -4/3*a + l*a**3 + 2/3*a**u + 0.
2*a*(a - 1)*(a + 2)/3
Let r(i) = -3*i**3 - 3*i**2 - 3*i + 3. Let q(x) = -x**2 - x + 1. Let y be (9 + -12)/((-1)/(-2)). Let w(v) = y*q(v) + r(v). Factor w(g).
-3*(g - 1)**2*(g + 1)
Let d(g) = 2*g**2 - 8*g + 6. Let j(y) = y - 1. Let x(p) = d(p) + 6*j(p). Factor x(m).
2*m*(m - 1)
Let 20*t**3 + 8*t**2 - 10*t**4 - 21*t**3 + 16*t - 2*t**5 - 11*t**3 = 0. What is t?
-2, 0, 1
Let g be 6/(1 - (-1 + 1)). Let s(i) = -5*i**2 - 2*i - 7. Let b(a) = 4*a**2 - 5*a + 1 + 7*a + 8 - 3. Let d(f) = g*s(f) + 7*b(f). Let d(m) = 0. What is m?
0, 1
Let v(w) be the second derivative of w**7/350 - w**6/200 - w**5/100 + w**4/40 + 7*w**2/2 + 2*w. Let f(a) be the first derivative of v(a). Factor f(l).
3*l*(l - 1)**2*(l + 1)/5
Suppose 0 + 8/7*y - 4/7*y**2 - 4/7*y**3 = 0. What is y?
-2, 0, 1
Let -1459*l - 89*l + 19*l**4 + 166 + 268*l**3 + 940*l**2 + 158 - 3*l**4 = 0. What is l?
-9, 1/4, 1
Let u(s) be the first derivative of 9/7*s + 6 - 27/14*s**4 - 39/14*s**2 + 22/7*s**3 - 1/14*s**6 + 3/5*s**5. Find q, given that u(q) = 0.
1, 3
Let t be ((-4)/(-18))/(-3 + (-238)/(-63)). Factor 0 + 0*u**2 - t*u**3 + 2/7*u.
-2*u*(u - 1)*(u + 1)/7
Let k = -3/103 + 427/515. Let 2/5*i**2 + 2/5 + k*i = 0. What is i?
-1
Let f = -3229/110040 + 4/131. Let p(s) be the third derivative of -f*s**7 - 1/240*s**6 + 0 + 0*s + 2*s**2 + 0*s**3 - 1/240*s**5 + 0*s**4. What is u in p(u) = 0?
-1, 0
Let h(l) be the first derivative of -l**6/180 - l**5/30 - l**4/12 - l**3 - 7. Let c(i) be the third derivative of h(i). Factor c(z).
-2*(z + 1)**2
Suppose -2*x = -5*x. Factor -3*a + 2*a**2 + x - 3 + 9*a - 5*a**2.
-3*(a - 1)**2
Suppose -2*s - 4 = -0*s. Let i be ((-5)/20)/(2/s). Factor 0 + 0*z + i*z**2.
z**2/4
Let m(l) be the third derivative of 1/2*l**3 + 1/8*l**4 + 0*l + 1/70*l**7 - 1/20*l**6 + l**2 - 1/10*l**5 + 0 + 1/112*l**8. Factor m(d).
3*(d - 1)**2*(d + 1)**3
Let i(o) be the second derivative of -o**6/900 + o**5/75 - o**4/20 + 7*o**3/6 - 4*o. Let h(w) be the second derivative of i(w). Factor h(p).
-2*(p - 3)*(p - 1)/5
Let v(g) be the third derivative of g**6/320 - 3*g**4/64 + g**3/8 + 29*g**2. Suppose v(t) = 0. What is t?
-2, 1
Suppose 0*c + 2/9*c**4 - 2/9*c**2 + 0 - 2/9*c**3 + 2/9*c**5 = 0. What is c?
-1, 0, 1
Let x(z) be the third derivative of -1/3*z**4 + 0*z + 0 - 2*z**2 + 4/3*z**3 + 1/30*z**5. Factor x(w).
2*(w - 2)**2
Let s = -27 - -28. Let b be ((-4)/6)/(s/(-4)). Factor 0 - b*y**3 + 4/3*y + 2/3*y**2 - 2*y**4.
-2*y*(y + 1)**2*(3*y - 2)/3
Let g(l) be the third derivative of 0 + 0*l + 4*l**2 + 0*l**3 - 1/20*l**5 + 1/28*l**4 + 1/56*l**6. Factor g(i).
3*i*(i - 1)*(5*i - 2)/7
Suppose 4*x + 2 = -2*g, -5*g - 2*x + 1 = 6. Let b(o) = o**3 + o**2. Let l(z) = 3*z**4 + 6*z**3 + 6*z**2 + 3*z. Let j(a) = g*l(a) + 9*b(a). Factor j(d).
-3*d*(d - 1)**2*(d + 1)
Factor -31*b - b**3 + 10*b + 2 + 6*b**2 + 4 + 10*b.
-(b - 3)*(b - 2)*(b - 1)
Let x(i) be the third derivative of i**6/900 + i**5/225 + 31*i**2. Factor x(t).
2*t**2*(t + 2)/15
Let k be (-4)/5 - (-95)/25. Factor -6*b**2 + k*b**2 + 6*b - 5 + 2.
-3*(b - 1)**2
Let d(t) = -5*t**4 - 10*t**3 + 6*t**2 - 11*t + 11. Let w(x) = x**4 + 2*x**3 - x**2 + 2*x - 2. Let r(q) = -4*d(q) - 22*w(q). Factor r(b).
-2*b**2*(b + 1)**2
Let d(g) be the third derivative of -1/120*g**6 - 1/420*g**7 - 3*g**2 + 0 + 1/48*g**4 + 0*g + 1/60*g**5 + 1/672*g**8 - 1/12*g**3. Factor d(i).
(i - 1)**3*(i + 1)**2/2
Let y be 1/5 - (-330)/100. Factor 9/2*d**3 + 0 - d**2 - y*d**4 + 0*d.
-d**2*(d - 1)*(7*d - 2)/2
Let z = -36 - -50. Let k be 0 + (-34)/z + 3. Suppose -2/7*t**3 + k*t**2 - 2/7*t + 0 = 0. Calculate t.
0, 1
Suppose 2*u - 3*u + 2 = 0. Let t(d) = d**2 + d + 1. Let j(g) = 3*g**2 + 3*g. Let p(k) = u*j(k) - 4*t(k). Find b such that p(b) = 0.
-2, 1
Suppose -5 = g - 2*g. Suppose 4*z = d - 2*d + 1, z - g*d - 16 = 0. Factor 3/2*p**2 - z - 5/2*p.
(p - 2)*(3*p + 1)/2
Let q(x) = -x + 13. Suppose -2*b = b - 27. Let z be q(b). Suppose -1 - 2*i**z + i**4 + 1 - i**3 = 0. Calculate i.
-1, 0
Let x(n) be the first derivative of 2/65*n**5 + 0*n**3 + 0*n + 0*n**2 + 0*n**4 + 2. Factor x(a).
2*a**4/13
Let b(g) be the first derivative of 1/8*g**2 + 0*g + 4 - 1/12*g**3. Factor b(w).
-w*(w - 1)/4
Let g = 0 - -3. Suppose -2*j - j + 3*r = 9, -r = -g*j + 1. Find d such that -13/3*d**j - 1/3 - 4/3*d**4 - 4*d**3 - 2*d = 0.
-1, -1/2
Let t(x) be the second derivative of -4/5*x**5 + 4/3*x**4 + 0*x**3 - 9*x + 0*x**2 + 0 + 2/15*x**6. Find f, given that t(f) = 0.
0, 2
Let u = 207 + -1445/7. Factor 0 - u*q + 2/7*q**3 + 2/7*q**2.
2*q*(q - 1)*(q + 2)/7
Let o(d) = -3*d**2 + 13*d - 14. Let q be o(-16). Let y be (-6)/10 + (-1034)/q. Solve 0 - 2*s**2 + 2*s**4 + y*s - 4/9*s**3 = 0.
-1, 0, 2/9, 1
Let u = -13 + 15. Let n(v) be the first derivative of -1 + 1/12*v**4 - 1/3*v + 1/9*v**3 - 1/6*v**u. What is o in n(o) = 0?
-1, 1
Let l(b) = -7*b + 9. Let y be l(-13). Let u be 15/y - 3/(-12). Solve -2/5*z + 4/5*z**2 - u*z**3 + 0 = 0 for z.
0, 1
Suppose -4/7 + 4/7*d**2 + 6/7*d = 0. Calculate d.
-2, 1/2
Let k be 4/2 - (1 - -1). Suppose -2*u + 1 + 7 = 0. Factor -1/5*d**3 + 0 + 0*d + k*d**2 + 1/5*d**u.
d**3*(d - 1)/5
Let p(q) be the secon