*q**3 - q + 0*q**d - 1/6*q**4. Factor u(x).
-2*x*(x - 1)
Let c(x) = 11*x**3 - 85*x**2 + 34*x. Let o(l) = -21*l**3 + 171*l**2 - 69*l. Let n(p) = 9*c(p) + 4*o(p). Factor n(y).
3*y*(y - 5)*(5*y - 2)
Let d(f) be the first derivative of 2*f**5/75 - 4*f**3/45 + 2*f/15 - 1. Factor d(r).
2*(r - 1)**2*(r + 1)**2/15
Let u(z) = -7*z**5 + 3*z**4 + z**3 - 41*z**2 - 5*z - 5. Let v(q) = -q**5 - q**4 - q**3 - q**2 - q - 1. Let x(o) = -2*u(o) + 10*v(o). Solve x(r) = 0.
-2, 0, 3
Suppose -45 = 3*w - 6*w. Suppose 4*o + o = w. Solve -2/5*s**5 + 8/5*s**4 - 2/5*s + 8/5*s**2 - 12/5*s**o + 0 = 0.
0, 1
Suppose 2*j - c - 15 = 4*c, 5*j + 5*c = -15. Let z(r) be the third derivative of j*r**4 + 1/30*r**6 - r**2 - 1/10*r**5 + 1/3*r**3 + 0 + 0*r. Factor z(v).
2*(v - 1)**2*(2*v + 1)
Let z(u) = u + 8. Let d be z(-6). Factor -4*x + d*x**2 + 4*x + x + 2 + 3*x.
2*(x + 1)**2
Let n = -1 - -5. Suppose 2*h - 4*h = -n. Factor 2*f**h + f**4 + 4*f**4 - 6*f**4 - 1.
-(f - 1)**2*(f + 1)**2
Let k(z) be the second derivative of z**7/42 + z**6/10 - z**4/3 - 6*z. Factor k(b).
b**2*(b - 1)*(b + 2)**2
Let t be ((-33)/(-44))/(6/16). Let f(q) be the third derivative of 1/30*q**5 + 1/315*q**7 + 0*q + 0*q**3 - 2*q**t + 0 - 1/60*q**6 - 1/36*q**4. Factor f(j).
2*j*(j - 1)**3/3
Let h(f) = 8*f**2 - 19*f + 13. Let i(k) = 2*k**2 - 5*k + 3. Let a(y) = 6*h(y) - 26*i(y). Determine o so that a(o) = 0.
0, 4
Let q(t) be the third derivative of 1/40*t**5 - 3*t**2 + 0 + 0*t**3 + 0*t + 0*t**4. Factor q(u).
3*u**2/2
Let a(z) = -4*z. Let j be a(0). Let m be (-2)/(-9)*3 + j. What is p in 2*p - 8/3*p**2 + m = 0?
-1/4, 1
Let k(s) be the second derivative of 0*s**2 + 1/6*s**3 + 0 + 1/24*s**4 - 5*s. Find x such that k(x) = 0.
-2, 0
Solve 2/3*r**2 - 2*r + 0 = 0.
0, 3
Let f(l) be the third derivative of -l**8/336 + l**6/120 - 16*l**2. Factor f(k).
-k**3*(k - 1)*(k + 1)
Let x(o) = o**3 + 10*o**2 + 9*o + 2. Let a be x(-9). Factor -u**3 + 2*u**a + 0*u**2 - 4*u + 3*u.
-u*(u - 1)**2
Let i(j) = -j**4 - 6*j**3 - 6*j**2 + 2*j - 3. Let p(s) = -s**3 - s**2 + s - 1. Let k(y) = -i(y) + 3*p(y). Let k(u) = 0. What is u?
-1, 0
Suppose 10 = -4*d + 22. Let j(q) be the first derivative of 0*q**4 + 0*q - 1/15*q**5 - 1 + 0*q**2 + 1/9*q**d. Factor j(h).
-h**2*(h - 1)*(h + 1)/3
Determine m so that 8*m**2 + 0*m**2 - 147 + 42*m - 11*m**2 = 0.
7
Let p = 22 + -19. Let f(b) be the first derivative of -1 + 1/4*b**2 + 1/12*b**p + 0*b. Factor f(m).
m*(m + 2)/4
Let y(s) be the third derivative of 3*s**8/784 + s**7/70 + s**6/56 + s**5/140 - 8*s**2. Determine h, given that y(h) = 0.
-1, -1/3, 0
Suppose -14 = -2*q + 3*h, -4*q - 5*h + 6 = -0*h. Determine s so that -s + 2 - 3*s**2 + 4*s**2 + q*s = 0.
-2, -1
Let v = -18 + 21. Factor 0*g**3 - g - 12*g**2 + 3*g**5 - 10*g**3 + 2 - v*g**4 + 5*g**4 + 0*g**4.
(g - 2)*(g + 1)**3*(3*g - 1)
Let f(s) be the second derivative of s**6/480 - s**5/240 + 3*s**2/2 + s. Let y(z) be the first derivative of f(z). Factor y(p).
p**2*(p - 1)/4
Let m be 28/(-63)*-3 + (-22)/(-6). Factor 2/7*h**m + 4/7*h**2 - 6/7*h**4 - 6/7*h + 4/7*h**3 + 2/7.
2*(h - 1)**4*(h + 1)/7
Suppose 0*b + 90 = 2*b. Let y be b/35 - (-2)/(-7). Let -4*w - y - 4*w**2 + w**3 + 7*w + w**2 = 0. What is w?
1
Determine z, given that 58*z - 4*z**3 + 6*z**3 - 58*z - 2*z**5 = 0.
-1, 0, 1
Let g(m) be the first derivative of 0*m + 0*m**2 - 2 + 3/4*m**4 + 1/3*m**3 + 1/6*m**6 + 3/5*m**5. Factor g(n).
n**2*(n + 1)**3
Let i(p) be the first derivative of 0*p + 0*p**2 - 2 + 1/12*p**4 - 1/9*p**3. Factor i(l).
l**2*(l - 1)/3
Let h be (-6)/3 + (-5)/(-1). Let j(d) = 2*d**3 + 2*d**2 - 5*d + 1. Let i(s) = 4*s**3 + 4*s**2 - 11*s + 3. Let a(z) = h*i(z) - 7*j(z). What is t in a(t) = 0?
-1, 1
Let u be (-5)/((-10)/(-3))*2/(-12). Factor u - 3/4*b**2 - 1/2*b.
-(b + 1)*(3*b - 1)/4
Suppose -2*y = -7*y + 15. Factor -5*t**2 - 16*t**3 - 10*t**4 + 5*t**5 - y*t**2 - 7*t**5.
-2*t**2*(t + 1)*(t + 2)**2
Let d(l) be the second derivative of l**5/25 + l**4/10 - l**3/5 - 2*l**2/5 - 6*l. Find q, given that d(q) = 0.
-2, -1/2, 1
Let s(r) = 4*r + 2. Let b(x) = -x**2 - 5*x - 1. Let g = 17 + -19. Let c(p) = g*b(p) - 3*s(p). Factor c(d).
2*(d - 2)*(d + 1)
Let -12/7*x**3 + 0 - 4*x + 88/7*x**2 = 0. Calculate x.
0, 1/3, 7
Let p = 0 + 1. Suppose 7 = 3*w + p. Factor 0 - 2/3*g - 1/3*g**w.
-g*(g + 2)/3
Let -8/7*r**2 - 24/7*r**3 - 18/7*r**4 + 0 + 0*r = 0. What is r?
-2/3, 0
Let o(d) be the second derivative of d**4/15 - 16*d**3/15 + 32*d**2/5 - d. Factor o(u).
4*(u - 4)**2/5
Let u be (-475)/(-152) + 2/(-16). Let v(q) be the first derivative of -1/2*q**2 + 1/3*q**u + 0*q - 2. Factor v(h).
h*(h - 1)
Let v = -691/154 - -101/14. Find c, given that -14/11*c**2 - v*c - 18/11 - 2/11*c**3 = 0.
-3, -1
Let d(j) be the first derivative of -j**5/5 + 7*j**3/3 + 3*j**2 - 12. Solve d(r) = 0.
-2, -1, 0, 3
Solve 2 + j + j**3 - 3*j**3 - j**2 - 1 + j**3 = 0.
-1, 1
Let y(m) be the third derivative of -2*m**7/735 - m**6/70 - m**5/35 - m**4/42 - 7*m**2. Determine f so that y(f) = 0.
-1, 0
Factor 18*h**5 + 39*h**2 + 45*h**3 - 15*h**5 + 22*h**4 - h**4 + 17*h - 5*h.
3*h*(h + 1)**3*(h + 4)
Let p = 2/9407 + 1514519/37628. Let o = p + -467/12. Determine u, given that -1/3*u**2 + 4/3*u - o = 0.
2
Solve 18/5*g + 2/5*g**3 + 12/5*g**2 + 0 = 0.
-3, 0
Let j(n) = 9*n - 3. Let a(l) = 3*l - 1. Let t(r) = -7*a(r) + 2*j(r). Let b be t(-1). Determine i so that i**2 + i**b - i**2 - 2*i**3 + 3*i**2 - 2*i**2 = 0.
0, 1
Let w(u) = u**4 + u**3 + u**2 - 1. Let d = 2 - 1. Let p(r) = -10*r**4 - 4*r**3 - 2*r + 4. Let h(t) = d*p(t) + 6*w(t). Let h(m) = 0. Calculate m.
-1, -1/2, 1
Factor -56/5*a + 98/5*a**2 + 8/5.
2*(7*a - 2)**2/5
Let g be (-12)/42 - 19/7. Let h = g + 5. Factor -6/7*o**3 + 8/7*o**h - 4/7 + 2/7*o.
-2*(o - 1)**2*(3*o + 2)/7
Solve n**2 - 1/2*n**4 + 0*n - 1/2*n**3 + 0 = 0 for n.
-2, 0, 1
Let s(f) = 4*f**2 + 4*f + 7. Let t(h) = 20 + 12*h + 11*h**2 - 5*h + 5*h. Let o(y) = 8*s(y) - 3*t(y). Factor o(k).
-(k + 2)**2
Let q be (5/(-45))/((-2)/4). Factor -2/9*z**2 - q*z + 0.
-2*z*(z + 1)/9
Let v(d) be the second derivative of 216*d**7/7 + 36*d**6 + 18*d**5 + 5*d**4 + 5*d**3/6 + d**2/12 + 8*d. Determine f so that v(f) = 0.
-1/6
Let y(q) be the first derivative of -5*q**4/4 - 25*q**3/3 - 20*q**2 - 20*q + 3. Suppose y(f) = 0. Calculate f.
-2, -1
Let y = 14 - 6. Let h be (y/12)/((-5)/(-36)). Factor -12/5*g**2 - 2/5*g**3 - 16/5 - h*g.
-2*(g + 2)**3/5
Solve 19/5*g**3 + 9/5 + g**4 + 34/5*g**2 + 57/10*g + 1/10*g**5 = 0 for g.
-3, -2, -1
Let w(g) be the second derivative of -g**5/14 + 9*g**4/14 - 10*g**3/21 + 14*g - 1. Factor w(l).
-2*l*(l - 5)*(5*l - 2)/7
Suppose -a + w = -1, -3*a - 4*w + 2*w = -18. Let d be (-6)/(-8) - (-1)/a. Determine h so that -7/2*h + 5/2*h**2 + d = 0.
2/5, 1
Let p(o) = -88*o + 92. Let m be p(1). Determine f, given that 3*f**2 - 3/2*f**m + 0*f + 3/2*f**3 + 0 = 0.
-1, 0, 2
Suppose 30 = -16*k + 26*k. Factor -2*a**k + 2/3*a**4 + 0 - 2/3*a + 2*a**2.
2*a*(a - 1)**3/3
Let l be -16 + 2/2*3. Let n = l + 16. Factor 0*z - 6/5*z**4 + 0 + 2/5*z**5 + 6/5*z**n - 2/5*z**2.
2*z**2*(z - 1)**3/5
Let p(g) be the third derivative of g**8/560 + g**7/630 + g**5/10 - 9*g**2. Let b(j) be the third derivative of p(j). Factor b(k).
4*k*(9*k + 2)
Let i(s) = 18*s**3 + 283*s**2 + 1050*s + 243. Let u(b) = 305*b**3 + 4810*b**2 + 17850*b + 4130. Let z(j) = -35*i(j) + 2*u(j). Factor z(k).
-5*(k + 7)**2*(4*k + 1)
Let k be 210/28*6/(-5). Let y = k + 9. Determine x so that -1/5*x**2 + 1/5 + y*x = 0.
-1, 1
Let l(o) = o**3 + 3*o**2 + 6*o + 1. Let b(x) = -x**2 + x - 1. Let w(y) = b(y) - l(y). Suppose w(q) = 0. Calculate q.
-2, -1
Factor -t + 3/4*t**3 + 0 - t**2.
t*(t - 2)*(3*t + 2)/4
Let a(t) be the second derivative of 0*t**4 + 0 - 1/420*t**5 - 2*t - 1/6*t**3 + 1/630*t**6 + 0*t**2. Let d(v) be the second derivative of a(v). Factor d(z).
2*z*(2*z - 1)/7
Let d be 1/(-5) - 3*(-2)/6. Find f such that -4/5*f**4 + 8/5 + 12/5*f**2 + d*f**3 - 4*f = 0.
-2, 1
Let n(a) be the first derivative of a**6/20 + a**5/15 - a**4/12 + 2*a**2 - 2. Let o(q) be the second derivative of n(q). Factor o(r).
2*r*(r + 1)*(3*r - 1)
Suppose 3*o - 3 = -4*c + 14, 8 = 4*c. Suppose 2*g - 12 - 2 = -5*l, -o*l = -6. Factor 140/3*j**3 - 98/3*j**4 - 40/3*j + 2*j**g - 8/3.
-2*(j - 1)**2*(7*j + 2)**2/3
Let t(w) = -w**3 - w**2 - 1. Suppose 0 = 5*x + 5. Let i(v) = -3*v**3 + v - 1. Let r(p) = x*t(p) + i(p). Factor r(f).
-f*(f 