**4. Let l(m) be the first derivative of i(m). Factor l(d).
-2*d**2*(d - 1)/5
Let j(u) be the first derivative of 2*u**4 + 4*u**3/3 + 2*u**2 - 10*u - 3. Let d(l) = -7*l**3 - 4*l**2 - 3*l + 9. Let z(c) = -6*d(c) - 5*j(c). Solve z(q) = 0.
-2, -1, 1
Factor -10*o**3 - 8*o - 7 + 26*o**2 - 3 + 2.
-2*(o - 2)*(o - 1)*(5*o + 2)
Suppose -3*w - 6 = -6*w. Suppose 0*n - b - 11 = -w*n, -3*b = 4*n + 3. Factor 0*i**n + 2/5*i**2 + 1/5*i - 1/5*i**5 + 0 - 2/5*i**4.
-i*(i - 1)*(i + 1)**3/5
Let n(r) be the third derivative of 0*r - 7/90*r**5 + 0*r**3 - 1/45*r**6 + 4*r**2 + 0 + 4/315*r**7 - 1/18*r**4. Factor n(w).
2*w*(w - 2)*(2*w + 1)**2/3
Let u = -125 - -129. Factor -9/2*a**u - 12*a**2 - 27/4*a - 3/4*a**5 - 21/2*a**3 - 3/2.
-3*(a + 1)**4*(a + 2)/4
Let f(j) be the third derivative of -j**6/180 + 4*j**5/135 + j**4/36 + 41*j**2. Find t such that f(t) = 0.
-1/3, 0, 3
Let a be 136/32 + 3/4. Suppose -9*t**4 - 12*t**5 - 3*t**2 - 6*t**a + 9*t**3 + 21*t**5 = 0. Calculate t.
0, 1
Suppose 4*q = -3*s - 285, -4*s = q - 3*q - 148. Let w = q + 218/3. Factor 4/3*l + 0 + w*l**2 - 14/3*l**5 - 10*l**3 + 38/3*l**4.
-2*l*(l - 1)**3*(7*l + 2)/3
Let a(h) be the first derivative of 2*h**3/9 - 2*h**2/3 + 2*h/3 + 5. Factor a(m).
2*(m - 1)**2/3
Let n = -30 + 34. Find q such that 0*q**3 + 0*q + 2/3 + 2/3*q**n - 4/3*q**2 = 0.
-1, 1
Find d, given that 3*d**2 + 11*d - 3*d**2 + 4*d**2 + 9*d = 0.
-5, 0
Factor 16/13*h - 24/13*h**2 + 12/13*h**3 + 0 - 2/13*h**4.
-2*h*(h - 2)**3/13
Let q(r) be the second derivative of r**6/720 + r**5/120 + r**4/48 - 5*r**3/6 + r. Let w(x) be the second derivative of q(x). Factor w(m).
(m + 1)**2/2
Suppose 0*o + 0 + o**4 - 1/4*o**5 - 5/4*o**3 + 1/2*o**2 = 0. What is o?
0, 1, 2
Let z(r) = -r**2 + r. Let u(p) = 6*p**2 - 9*p - 9. Let g(y) = -u(y) - 3*z(y). Factor g(a).
-3*(a - 3)*(a + 1)
Suppose 6*c + 15 = 11*c. Suppose 0 = 3*z - 6. Factor 7*j - j**c + 2 - j**3 + 8*j**z + 5*j**3.
(j + 1)**2*(3*j + 2)
Factor 5*o**3 + o**5 + 2*o**3 - 4*o**2 + o**5 - 8*o**4 + 3*o**3.
2*o**2*(o - 2)*(o - 1)**2
Let f = 251/5420 + 1/271. Let v(b) be the first derivative of -1/10*b**2 - 2 - 2/15*b**3 - f*b**4 + 0*b. Factor v(u).
-u*(u + 1)**2/5
Let d(r) be the second derivative of r**6/15 - 3*r**5/10 + r**4/2 - r**3/3 - 2*r. Solve d(h) = 0 for h.
0, 1
Let s(h) be the second derivative of 3/5*h**5 - 7/6*h**4 - 2*h + h**2 + 0 + 0*h**3. Factor s(f).
2*(f - 1)*(2*f - 1)*(3*f + 1)
Let x be 6/(-4)*3/(-6). Factor 0 - 3/2*d**2 - x*d**3 - 3/4*d.
-3*d*(d + 1)**2/4
Let r(a) = -a**2 - 3*a. Let t be r(-2). Let h be (t/5)/(5/50). What is x in h*x**5 + 8*x**2 + 5*x**4 - 11*x**4 - 4*x**3 - 2 + 0*x**3 = 0?
-1, -1/2, 1
Suppose 4/9 - 2/9*b**2 + 2/9*b = 0. What is b?
-1, 2
Suppose 4*x - 32 = -4*o, 0 = -2*x + 20 - 10. Determine y, given that 0 + 1/2*y**2 - 1/2*y**4 + y**o - y = 0.
-1, 0, 1, 2
Let -7/4*a + 49/8 + 1/8*a**2 = 0. Calculate a.
7
Suppose 0 = y + 2*y - 180. Let o be (-3)/(y/(-68)) - 3. Find f such that 2/5 - o*f**3 + 12/5*f**4 - 14/5*f**2 + 2/5*f = 0.
-1, -1/3, 1/2, 1
Let o = 1520 + -455999/300. Let f(d) be the third derivative of 0*d + 0*d**4 + o*d**5 + 0 - 2*d**2 - 1/30*d**3. Factor f(z).
(z - 1)*(z + 1)/5
Let b be (1 - -3) + (-8)/2. Let q(a) be the first derivative of 1/3*a**2 + 2 - 2/9*a**3 + b*a. Factor q(r).
-2*r*(r - 1)/3
Let x(q) be the second derivative of -3*q - 2/3*q**3 + 0 - 1/2*q**2 - 1/30*q**6 - 1/2*q**4 - 1/5*q**5. Factor x(h).
-(h + 1)**4
Let n(k) be the second derivative of -k**9/3780 + k**8/700 - k**7/350 + k**6/450 - 2*k**3/3 - 7*k. Let y(f) be the second derivative of n(f). Factor y(q).
-4*q**2*(q - 1)**3/5
Let r(z) be the first derivative of -2*z**4/3 - 2*z**3/9 + 6. Find u such that r(u) = 0.
-1/4, 0
What is x in 6*x**3 + 3*x - 2*x**2 - x - 2*x = 0?
0, 1/3
Find f such that 8/9*f**4 - 4/3*f**2 - 10/9*f - 2/3*f**5 + 16/9*f**3 + 4/9 = 0.
-1, 1/3, 1, 2
Let q(b) be the first derivative of b**6/3 + 8*b**5/5 + 3*b**4 + 8*b**3/3 + b**2 + 6. Let q(d) = 0. What is d?
-1, 0
Let p(y) be the second derivative of y**7/168 + y**6/120 - y**5/16 - y**4/48 + y**3/3 - y**2/2 + 6*y. Factor p(n).
(n - 1)**3*(n + 2)**2/4
Let j(h) = 4*h**2 - 16*h - 4. Let t(w) = 8*w**2 - 33*w - 9. Let l(k) = 9*j(k) - 4*t(k). Solve l(s) = 0.
0, 3
Suppose 0 = 5*v - 10, 0*q + 4*v - 16 = -4*q. Let y be 0/3 - 4/(-10). Factor y*k**q + 0 + 2/5*k.
2*k*(k + 1)/5
Let -14/19*w**3 + 12/19*w - 2/19*w**4 + 0 + 2/19*w**5 + 2/19*w**2 = 0. Calculate w.
-2, -1, 0, 1, 3
Let c(b) be the second derivative of 5/3*b**3 - 7/6*b**4 + 6*b + 0 + 2*b**2. Factor c(w).
-2*(w - 1)*(7*w + 2)
Let q be 26/6 + (-2)/(-3). Suppose 2*f - 3 = q. Factor 4*z**5 + 3*z - 8*z**f - 2*z**5 - z - 8*z**2 + 12*z**3.
2*z*(z - 1)**4
Let d(w) be the third derivative of -3*w**8/2800 + w**7/350 - w**6/600 - w**3/2 - 3*w**2. Let q(u) be the first derivative of d(u). Factor q(l).
-3*l**2*(l - 1)*(3*l - 1)/5
Let p(b) = b**2 - 6*b**2 + 31 + b**3 - 29. Let y be p(5). Solve -5/3*f**4 + 5/3*f**y + 0 - 2/3*f**3 + 2/3*f = 0.
-1, -2/5, 0, 1
Factor 20*b**4 - 5*b**3 + 2*b**2 + 5*b - 7*b**2 - 15*b**4.
5*b*(b - 1)**2*(b + 1)
Factor -5 - 8*r**3 + 0*r**3 + 12*r**2 + 0*r**3 + 7 + 2*r**4 - 8*r.
2*(r - 1)**4
Factor 5 - 5 - 3 + 0 + 3*x**2.
3*(x - 1)*(x + 1)
Let j(f) be the first derivative of 3 + 2/11*f - 8/11*f**3 + 1/11*f**2. Determine u so that j(u) = 0.
-1/4, 1/3
Let d(p) = 1. Let k(u) = -3*u**2 + 5. Let f(r) = -5*d(r) + k(r). Factor f(l).
-3*l**2
Let z(k) be the third derivative of -k**5/60 - k**4/12 + k**2. Factor z(w).
-w*(w + 2)
Let m(r) = 34*r + 141. Let k be m(-4). Solve -3/2*v**4 + 5/2*v**3 + 3/2*v**2 - 2*v**k + 0 - 1/2*v = 0.
-1, 0, 1/4, 1
Let x(s) be the second derivative of -3*s**5/20 - 5*s**4/4 - 3*s**3/2 + 27*s**2/2 - 17*s. Factor x(n).
-3*(n - 1)*(n + 3)**2
Let r(n) be the third derivative of -1/30*n**6 - 1/504*n**8 + 0*n - 1/36*n**4 - 2/45*n**5 - n**2 + 0*n**3 - 4/315*n**7 + 0. Factor r(y).
-2*y*(y + 1)**4/3
Factor 39*f + 4*f**3 - 7*f**2 + 23*f**2 - 27*f.
4*f*(f + 1)*(f + 3)
Factor 2/5*x**2 + 2/5 + 4/5*x.
2*(x + 1)**2/5
Let -j**2 + j**4 + 0*j**4 + 2*j**3 - 2*j**4 = 0. What is j?
0, 1
Let k(l) be the second derivative of -l**6/45 + l**4/9 - l**2/3 - 6*l. Let k(r) = 0. Calculate r.
-1, 1
Suppose 0*k = -5*k + 55. Let v = k + -9. Factor -12/5 - 36/5*o - 3/5*o**4 - 39/5*o**v - 18/5*o**3.
-3*(o + 1)**2*(o + 2)**2/5
Let y be (-56)/21*3/(-4). Factor 4 + 4*a**3 + 2*a**3 - 2*a**4 - y*a**2 - 9*a + 3*a.
-2*(a - 2)*(a - 1)**2*(a + 1)
Let o(j) be the first derivative of -j**5/360 + j**4/48 - j**3/18 - j**2/2 - 1. Let h(n) be the second derivative of o(n). Factor h(i).
-(i - 2)*(i - 1)/6
Let z be ((-92)/6)/((-8)/12). Suppose -4*p + 16 = 3*u, -u + 3*p = -6*u + z. Factor n - n**3 + n**u - n**2 + n**5 - n.
n**2*(n - 1)*(n + 1)**2
Let w(s) be the first derivative of -3*s**4/4 - 8*s**3/3 + 5*s**2/2 + 6*s - 38. Suppose w(t) = 0. Calculate t.
-3, -2/3, 1
Let n = -3 + 3. Let r(a) be the first derivative of -2/27*a**3 + 4 + 2/9*a**2 + n*a. Let r(d) = 0. What is d?
0, 2
Factor -2*k**3 - 164 - 3*k**3 + 6*k + 3*k**3 + 160.
-2*(k - 1)**2*(k + 2)
Let w(h) = 20*h**3 - 32*h**2 + 16*h + 16. Let t(p) = -p**3 - p**2 - p - 1. Let c(u) = -16*t(u) - w(u). Factor c(k).
-4*k**2*(k - 12)
Suppose -4*d = f - 18, -5*f + 26 = 4*d - 0*f. Suppose 5*h + 0*p - 27 = 4*p, -d*h + 4*p = -24. What is a in h*a**3 - a - a**4 + a**2 + 2*a**3 - 4*a**3 = 0?
-1, 0, 1
Let q(c) be the second derivative of c**5/10 - 7*c**4/36 - 11*c**3/18 + c**2/3 - 11*c. Find o such that q(o) = 0.
-1, 1/6, 2
Suppose -10/19 + 2/19*v - 2/19*v**3 + 10/19*v**2 = 0. What is v?
-1, 1, 5
Let g be (-2 - -5)/(-12 - 135/(-10)). Find i such that 2/3*i**g + 0*i - 2/3 = 0.
-1, 1
Suppose -2*h = -3*m - 12, -2*h - 1 - 3 = 5*m. Suppose -2*l**5 - l**4 - l + l**4 + 4*l**h - l = 0. Calculate l.
-1, 0, 1
Let k be 2/224*53 + (-62)/217. Let v(m) be the first derivative of -3 + 5/12*m**3 + 0*m - k*m**4 - 1/4*m**2. Determine g so that v(g) = 0.
0, 2/3, 1
Solve -253 + 2*r - 2*r**2 + 253 = 0.
0, 1
Let m be ((-3)/(-2))/(35/70). What is s in 8/7*s**2 + 2/7*s**m + 4/7 + 10/7*s = 0?
-2, -1
Let n(c) be the third derivative of -c**8/336 + c**7/210 + c**6/40 - c**5/60 - c**4/12 + 7*c**2. Find l such that n(l) = 0.
-1, 0, 1, 2
Let t(b) be the second derivative of b**6/90 - b**5/12 + b**4/4 - 7*b**3/18 + b**2/3 + 7*b. Suppose t(h) = 0. Calculate h.
1, 2
Let y(k) be the second derivat