+ 6*l**2. Solve i(d) = 0 for d.
-3, 0
Determine h, given that -8*h - 35 + 2*h**2 + 35 = 0.
0, 4
Suppose 3*q = 5*q + 4*v - 26, -3*q + 4*v - 11 = 0. Suppose 0 = -q*d - 0 + 30. Factor d + 9*u - 3*u**2 - 22 + 3*u.
-3*(u - 2)**2
Let d(l) = l**4 + l**3 - l**2 - 11*l. Let o(i) = 6*i. Let v(y) = -3*d(y) - 5*o(y). Suppose v(q) = 0. Calculate q.
-1, 0, 1
Suppose -5*l - 2*z + 90 = 0, l = 2*z + 14 + 4. Find y, given that -7*y**4 + 6*y**3 + 14*y - 4 - l*y**2 + 4*y**3 + 5*y**4 = 0.
1, 2
Let l(b) be the third derivative of -b**6/60 + b**5/15 - b**4/12 + 36*b**2. Find g, given that l(g) = 0.
0, 1
Let x(u) be the second derivative of -u**4/66 - u**3/33 + 7*u. Determine v so that x(v) = 0.
-1, 0
Let q = -2 + 6. Let o be 1/(q/(32/28)). Factor 2/7*i + o*i**2 + 0.
2*i*(i + 1)/7
Suppose 0*x = 4*x. Suppose -9 - 3*n**2 + 6*n**2 - 4*n**2 + 6*n + x*n**2 = 0. Calculate n.
3
Suppose -r - 5*s = -5 + 10, -4*r - 4*s - 4 = 0. Factor -5*n + 3*n**2 + 3*n + r*n**3 - n**3.
-n*(n - 2)*(n - 1)
Let a(m) be the second derivative of -m**7/56 + m**6/15 - 3*m**5/40 + m**3/24 - 23*m. Factor a(u).
-u*(u - 1)**3*(3*u + 1)/4
Let v be 1/4 - (-4)/(-16). Factor w**2 + v*w**2 - 1 + 1 + 2*w.
w*(w + 2)
Let b(u) be the third derivative of 0 + 0*u**4 + 0*u**3 + 3*u**2 + 0*u - 1/60*u**5 + 1/60*u**6 + 1/84*u**8 + 1/30*u**7. Factor b(l).
l**2*(l + 1)**2*(4*l - 1)
Let b(n) = -2*n**5 - 22*n**4 + 3*n**3 + 8*n**2 - n. Let q(v) = v**5 + 7*v**4 - v**3 - 3*v**2. Let l(f) = -2*b(f) - 7*q(f). Let l(c) = 0. Calculate c.
-1, -2/3, 0, 1
Let i(o) = 10*o**2 + o**3 + 2*o**2 + 8*o**3. Let n(l) = -l**3 - l**2. Let c(j) = i(j) + 6*n(j). Solve c(q) = 0.
-2, 0
Suppose 5*o + 5*q = 6*o - 8, 5*o - q - 16 = 0. Solve -1/3*m + 1/3*m**2 + 0 - 1/3*m**4 + 1/3*m**o = 0.
-1, 0, 1
Let n be 0/(-3*(-1)/(-3)). Let l(f) be the first derivative of n*f + 2*f**2 - 4 + 2/3*f**3. Determine k so that l(k) = 0.
-2, 0
Find w such that 9*w**3 - 5*w**4 + 0*w - 8*w + 1 - 12*w**2 + 6*w - 23*w**3 = 0.
-1, 1/5
Suppose 4*s**2 + 16 + 32*s + 23 + 25 = 0. Calculate s.
-4
Let y(x) be the third derivative of x**6/300 + 2*x**5/75 + x**4/12 + 2*x**3/15 - 2*x**2. Solve y(o) = 0.
-2, -1
Find r, given that 9/4*r + 0 + 3/4*r**2 = 0.
-3, 0
Let i(o) be the third derivative of -o**6/75 + o**5/25 - o**4/30 - 15*o**2. Determine u, given that i(u) = 0.
0, 1/2, 1
Let y be ((-5)/2)/((-3)/6). Suppose r**y + 3*r**3 - 2*r**5 - 2*r**3 = 0. Calculate r.
-1, 0, 1
Let x(o) = -o**2 - 8*o - 7. Let t be x(-7). Let s(h) be the second derivative of t + 1/9*h**3 + 2*h + 1/36*h**4 + 1/6*h**2. Solve s(k) = 0 for k.
-1
Let h be 205/(-246) + (-3)/(-2). Determine w, given that -1/3*w**3 + h*w**2 - 1/3*w + 0 = 0.
0, 1
Let w = -2 - -6. Suppose 5*f - 3 = w*p, -5*f - 5*p + 19 = -11. Factor -8/5*u**f + 8/5*u - 2/5*u**2 + 2/5.
-2*(u - 1)*(u + 1)*(4*u + 1)/5
Let i be -3 + (3 - (-6)/3). Factor -7/3*x**i - 5/3*x + 2/3.
-(x + 1)*(7*x - 2)/3
Suppose 0 = -4*b + 9*b - 15. Solve -4*q**4 - 3*q**b + q**2 + 4*q**2 - q**3 + 3*q**2 = 0 for q.
-2, 0, 1
Find k such that -20/3 - 2/5*k**3 - 64/15*k**2 - 38/3*k = 0.
-5, -2/3
Suppose -4*j - 4*o = 12, 4*j + 0*j + o - 3 = 0. Factor 8*z**2 + 3*z**3 - 3*z - 2*z**j + 6*z.
3*z*(z + 1)**2
Let v be 22/6 + (-4)/12*2. Factor -3/2*t**2 + 3/2*t**v + 3/2 - 3/2*t.
3*(t - 1)**2*(t + 1)/2
Factor -1/3*z**5 + 0 + 0*z - 1/9*z**4 + 2/9*z**3 + 0*z**2.
-z**3*(z + 1)*(3*z - 2)/9
Let g(y) be the first derivative of y**8/8400 - y**7/4200 - y**6/1800 + y**5/600 + 2*y**3/3 + 1. Let d(z) be the third derivative of g(z). Factor d(r).
r*(r - 1)**2*(r + 1)/5
Let s = -57/2 + 29. Factor 0*b + s*b**2 - 1/2.
(b - 1)*(b + 1)/2
Let v(q) be the third derivative of q**7/1575 - q**6/450 - q**5/450 + q**4/90 + 3*q**2. Factor v(u).
2*u*(u - 2)*(u - 1)*(u + 1)/15
Factor -1/9*c**4 - 4/9*c + 0 - 8/9*c**2 - 5/9*c**3.
-c*(c + 1)*(c + 2)**2/9
Let c(d) be the third derivative of -5*d**8/192 - d**7/14 - d**6/32 + d**5/24 + 34*d**2. Factor c(j).
-5*j**2*(j + 1)**2*(7*j - 2)/4
Let s(n) = n + 8. Suppose 0 = 2*z - 0*z + 10. Let v be s(z). Factor j**4 + j**4 + 2*j**4 - 3*j**2 - j**4 - 3*j**v + 3*j**5.
3*j**2*(j - 1)*(j + 1)**2
Find k, given that -4/5*k - 4/5*k**3 - 6/5*k**2 - 1/5 - 1/5*k**4 = 0.
-1
Let h(x) = -9*x**3 + 8*x**2 + x - 5. Let d(a) = -a**2 + a + 1. Let g(u) = -5*d(u) - h(u). Factor g(b).
3*b*(b - 1)*(3*b + 2)
Let r(y) be the first derivative of 2*y**3/9 - 4*y**2/3 + 2*y + 11. Determine u, given that r(u) = 0.
1, 3
Factor 9/2*o**2 + 15/2*o - 3.
3*(o + 2)*(3*o - 1)/2
Let b be (9/(-7) + 1)/((-40)/56). Find p, given that b*p**2 + 2/5 + 4/5*p = 0.
-1
Let w(f) be the third derivative of 0*f - 3*f**2 + 0 - 2/9*f**3 - 7/180*f**5 + 2/9*f**4. Solve w(l) = 0 for l.
2/7, 2
Let b(p) = -13*p**3 - 13*p**2 + 37*p + 27. Let f(n) = 6*n**3 + 6*n**2 - 18*n - 14. Let z(x) = 2*b(x) + 5*f(x). Let z(w) = 0. Calculate w.
-2, -1, 2
Let a = -76 - -76. Factor -1/3*d**4 + 1/3 + 2/3*d - 2/3*d**3 + a*d**2.
-(d - 1)*(d + 1)**3/3
Let r = 102 + -100. Let o(c) be the first derivative of -1 - 2/3*c**3 - 4*c - 3*c**r. Find v, given that o(v) = 0.
-2, -1
Find f, given that -4/5*f + 1/5 + 6/5*f**2 - 4/5*f**3 + 1/5*f**4 = 0.
1
Let a = 29204/59 - 495. Let k = a - -599/531. Determine g so that 4/9 + 14*g**3 - k*g - 16/3*g**2 = 0.
-2/7, 1/3
Let g be (-7)/((-7)/(-64)) - -1. Let t be 24/g - 4/(-6). Factor 0 - t*p**2 - 2/7*p**3 + 2/7*p + 2/7*p**4.
2*p*(p - 1)**2*(p + 1)/7
Factor 96*m**3 + 12*m**2 + 231*m**4 + 32*m - 32*m + 147*m**5.
3*m**2*(m + 1)*(7*m + 2)**2
Let f be (-3 + 1 + 1)*9. Let a = -4 - f. Determine v, given that -3*v**5 + 3*v**a - v**4 + v**5 = 0.
0, 1
Let m(x) be the first derivative of 2*x**3/57 + 4*x**2/19 - 24*x/19 + 31. What is t in m(t) = 0?
-6, 2
Let c(a) = -2*a + 3*a + 6*a**3 - a**3 - 4*a**3. Let y(v) = -20*v**4 - 21*v**3 + 4*v**2 + 15*v - 2. Let t(u) = -6*c(u) + y(u). Solve t(o) = 0.
-1, 1/4, 2/5
Let t be -6 - -8 - 1*-2. Suppose -6*c + 5*f + 14 = -t*c, 0 = -5*c - 2*f + 6. Let -c*d**2 + d**4 + 1/2*d - d**3 + 1/2*d**5 + 1 = 0. What is d?
-2, -1, 1
Let q = -881 + 30837/35. Let p(m) be the first derivative of 0*m**4 - 4/21*m**3 + 3 + q*m**5 + 0*m**2 + 2/7*m. Factor p(w).
2*(w - 1)**2*(w + 1)**2/7
Let d(x) be the first derivative of 3*x**5/5 - 6*x**3 - 12*x**2 - 9*x - 1. Factor d(v).
3*(v - 3)*(v + 1)**3
Let x(f) be the second derivative of -7*f**7/24 - 161*f**6/60 - 711*f**5/80 - 313*f**4/24 - 53*f**3/6 - 3*f**2 - 10*f - 1. Suppose x(h) = 0. What is h?
-3, -2, -1, -2/7
Suppose -4*a + 5240 = -5*k, -3903 = -2*a - a - 3*k. Let u be 8/(-10) + a/100. Factor 21/4*v**3 - 6*v**2 + v + 0 + u*v**4.
v*(v + 1)*(7*v - 2)**2/4
Let r(s) be the second derivative of 1/30*s**6 + 0 + 0*s**3 + 0*s**2 - 2*s - 1/70*s**7 + 0*s**4 - 1/50*s**5. Factor r(l).
-l**3*(l - 1)*(3*l - 2)/5
Let j(g) be the second derivative of 3*g + 0 + 0*g**3 - 1/30*g**6 - 1/6*g**4 - 2/15*g**5 + 1/6*g**2. What is f in j(f) = 0?
-1, 1/3
Let f(z) = z + 10. Let l be f(-10). Let o(b) be the third derivative of 0*b**4 - b**2 + l*b + 1/240*b**5 + 0 - 1/24*b**3. Suppose o(d) = 0. What is d?
-1, 1
Suppose -u + 6*b = 3*b + 7, 0 = -u + 5*b - 11. Let d be (u/2)/(-7 - -6). Solve 0*l**2 + 0 + d*l**3 + 0*l = 0 for l.
0
Let p(f) be the first derivative of 1 + 0*f**3 + 0*f + 0*f**2 + 1/4*f**4 + 1/5*f**5. Factor p(w).
w**3*(w + 1)
Let f(j) = -20*j**2 - 71*j - 89. Let c(z) = -5*z**2 - 18*z - 22. Let g(y) = 9*c(y) - 2*f(y). Factor g(t).
-5*(t + 2)**2
Let y(b) be the first derivative of b**2 + 0*b**3 + 0*b - 2 - 1/30*b**5 + 1/6*b**4. Let r(t) be the second derivative of y(t). Determine n so that r(n) = 0.
0, 2
Let f(n) be the second derivative of n**7/630 + n**6/180 - n**4/4 + 8*n. Let u(z) be the third derivative of f(z). Factor u(o).
4*o*(o + 1)
Find a such that 27/8*a**2 + 3/8*a**3 + 21/8 + 45/8*a = 0.
-7, -1
Let v(w) be the second derivative of w**5/130 - 5*w**4/78 + 7*w**3/39 - 3*w**2/13 + 17*w. Factor v(y).
2*(y - 3)*(y - 1)**2/13
Let y(x) = -7*x**3 - 39*x**2 - 18*x + 2. Let m(d) = 7*d**3 + 38*d**2 + 18*d - 3. Let u(h) = -6*m(h) - 5*y(h). Factor u(z).
-(z + 1)*(z + 4)*(7*z - 2)
Let r be 2*27/(-32) - -2. Let f(b) be the first derivative of r*b**4 + 1 - 1/2*b - 5/8*b**2 + 1/6*b**3. Factor f(c).
(c - 1)*(c + 1)*(5*c + 2)/4
Let t(y) = 2*y**3 - 2*y**2 - 2*y - 8. Let v(u) = u**3 - u**2 - u - 1. Let l(q) = t(q) - 5*v(q). Solve l(f) = 0 for f.
-1, 1
Factor 20*g**5 + 75*g - 78*g**3 + 12*g**4 - 10 