**2 + y*n + 0.
-2*n**2/9
Let q(x) be the first derivative of -x**3/6 - x**2/2 + 7. Factor q(w).
-w*(w + 2)/2
Suppose h - 12 = -4*i, -2*h + 7 = 4*i - 1. Factor 6*a + 0*a + 4 + a + i*a**2 + a.
4*(a + 1)**2
Solve -128/7 - 32/7*h - 2/7*h**2 = 0.
-8
Let b(g) be the third derivative of -g**6/240 - g**5/24 - g**4/6 - g**3/3 - 4*g**2. Factor b(n).
-(n + 1)*(n + 2)**2/2
Let i be 13/4 + (-1)/4. Solve 2*f**2 - f**3 + 0*f**3 + 5*f**i + 2*f**4 + 0*f**4 = 0.
-1, 0
Let s(g) = 4*g**3 + g**2 - 3*g. Let k(r) = 3*r**3 - 2*r. Let c(y) = -6*k(y) + 4*s(y). Determine j, given that c(j) = 0.
0, 2
Let p(j) be the first derivative of 8*j**3/15 - j**2/5 - 5. Suppose p(b) = 0. Calculate b.
0, 1/4
Let x(w) = 2*w**2 - 4*w + 2. Let g be x(2). Suppose 0 = -2*o - 5*l + 31, 2*o - 2 = -2*o + 2*l. Factor 4/3*v**g + 0*v + 0 + 2/3*v**o.
2*v**2*(v + 2)/3
Let d be 2/((-1)/(-6 + 3)). Solve 2*k - d*k**2 + 0*k**2 - 1 + 4*k**2 - 2*k**3 + 3 = 0 for k.
-1, 1
Let v(t) = -13*t**5 - 3*t**4 + 11*t**3 + 5*t**2 - 5. Let x(k) = -20*k**5 - 4*k**4 + 16*k**3 + 8*k**2 - 8. Let s(n) = 8*v(n) - 5*x(n). Factor s(w).
-4*w**3*(w - 1)*(w + 2)
Let s(l) be the second derivative of l**9/2835 - l**8/2520 + l**7/7560 + l**4/6 - l. Let n(j) be the third derivative of s(j). Factor n(o).
o**2*(4*o - 1)**2/3
Let t(y) be the third derivative of 2*y**7/105 - y**6/6 + 8*y**5/15 - 2*y**4/3 + 25*y**2. Solve t(v) = 0.
0, 1, 2
Let w(q) be the second derivative of -q**7/12600 + q**5/600 - q**4/3 - 5*q. Let x(p) be the third derivative of w(p). Factor x(f).
-(f - 1)*(f + 1)/5
Let k(n) be the third derivative of -n**8/2016 - 2*n**7/315 - n**6/30 - 17*n**5/180 - 23*n**4/144 - n**3/6 + 8*n**2. Factor k(o).
-(o + 1)**3*(o + 2)*(o + 3)/6
Let r(h) be the third derivative of h**8/560 - 3*h**7/175 + h**6/200 + 6*h**5/25 + 2*h**4/5 - 21*h**2. What is t in r(t) = 0?
-1, 0, 4
Let m(p) be the third derivative of 0 - 1/70*p**7 + 1/10*p**5 + 3*p**2 + 0*p**3 + 0*p + 0*p**4 - 1/40*p**6. Determine c, given that m(c) = 0.
-2, 0, 1
Let v(i) be the second derivative of 1/5*i**5 + 0 + 0*i**4 - 1/15*i**6 - 2/3*i**3 + 3*i + i**2. Factor v(y).
-2*(y - 1)**3*(y + 1)
Factor 0*l + 4/23*l**2 - 6/23*l**3 + 0.
-2*l**2*(3*l - 2)/23
Let o(a) = -a**2 + 5*a. Let g be o(3). Factor -3*d + 1 + 5*d**4 + g*d**2 + 0*d**4 - 4*d**3 - d - 4*d**4.
(d - 1)**4
Let x = -25/11 + 247/99. Solve 2/3*h**2 - x*h**3 - 2/3*h**4 + 0 + 2/9*h = 0.
-1, -1/3, 0, 1
Let v(w) be the third derivative of w**6/720 - w**5/60 - 5*w**4/48 - 2*w**3/9 - 12*w**2 - w. Solve v(f) = 0 for f.
-1, 8
Let d(b) be the first derivative of b**4/34 - 2*b**3/51 - b**2/17 + 2*b/17 + 23. Suppose d(s) = 0. What is s?
-1, 1
Let c(q) = -9*q**3 - 99*q**2 - 495*q - 405. Let r(t) = 10*t**3 + 100*t**2 + 495*t + 405. Let m(z) = 5*c(z) + 4*r(z). Find n, given that m(n) = 0.
-9, -1
Let m(s) = -6*s**3 + 9*s**2 - 3. Let q(b) = b**3 - b**2 - b + 1. Let c(f) = m(f) + 3*q(f). Factor c(t).
-3*t*(t - 1)**2
Let k = 349/2 - 173. Find l, given that 3/2*l**2 - 3 - k*l = 0.
-1, 2
Let b be -1 + 0/2 + 4. Factor o + 0*o**2 - 2*o**b + 3*o**3 + 2*o**2.
o*(o + 1)**2
Let x(m) = -2*m**4 - 7*m**3 - 5*m**2 - 9*m - 5. Let f(i) = 2*i**4 + 7*i**3 + 4*i**2 + 10*i + 6. Let l(w) = -4*f(w) - 5*x(w). Factor l(o).
(o + 1)**3*(2*o + 1)
Let f be (-431)/(-20) - ((-15)/(-4) - 4). Determine m, given that 126/5*m**3 + 36/5*m + 4/5 + f*m**2 + 49/5*m**4 = 0.
-1, -2/7
Let o(q) be the third derivative of 0*q**5 + 0 + 0*q**3 + 3*q**2 + 0*q - 1/180*q**6 + 1/36*q**4. Factor o(c).
-2*c*(c - 1)*(c + 1)/3
Factor -15/4*c + 5 - 5/4*c**2.
-5*(c - 1)*(c + 4)/4
Let v(x) be the first derivative of -4*x**5/5 - 2*x**4 + 4*x**3 + 11. Factor v(m).
-4*m**2*(m - 1)*(m + 3)
Let z be (8 - (-5)/(-2)) + -5. Factor 0*f**2 - 1 - z*f**3 + 3/2*f.
-(f - 1)**2*(f + 2)/2
Let m be 10/2*(-2)/(-5). Determine j, given that -m*j**2 + j**2 - 5*j**2 + 3*j**3 = 0.
0, 2
Let c(k) = k - 4. Let l be c(8). Let 3/2*q**2 + 0*q**3 - 3/4*q + 3/4*q**5 - 3/2*q**l + 0 = 0. Calculate q.
-1, 0, 1
Let u be 0/2 - (4 - 2). Let k be 40/18 + u/9. Factor -d**3 - 6*d**2 - k*d**3 + 0*d - 6*d + 3*d.
-3*d*(d + 1)**2
Let i(n) = 3*n**3 - 4*n**2 - 2*n. Let g = 0 - -3. Suppose -9*k = -13*k + 20. Let v(q) = -2*q**3 + 2*q**2 + q. Let l(r) = g*i(r) + k*v(r). Factor l(b).
-b*(b + 1)**2
Suppose 0 + 0*y**2 + 0*y + 2/5*y**3 - 2/5*y**4 = 0. Calculate y.
0, 1
Suppose -6/7*k + 0 + 8/7*k**2 - 2/7*k**3 = 0. Calculate k.
0, 1, 3
Find u, given that -1/4*u + 1/4 + 1/4*u**3 - 1/4*u**2 = 0.
-1, 1
Let t be (-132)/33 - 16/(-3). Find m, given that t*m**2 - 2/9*m**3 + 16/9 - 8/3*m = 0.
2
Let c = -34 + 13. Let s be c/(-14)*(-8)/(-6). Let 6/5*n**3 + 2/5*n**4 + 0 + 6/5*n**s + 2/5*n = 0. Calculate n.
-1, 0
Let i = -58 + 63. Let m(y) be the third derivative of -2*y**2 + 0*y**3 + 0 + 0*y + 1/72*y**4 + 1/180*y**i. Determine s so that m(s) = 0.
-1, 0
Suppose -3*s + 53 = 2*i, -5*s - 3*i + 63 = -24. Let q be (-2)/((-1)/(3/s)). Factor -4/5*d - 2/5*d**2 + 0 + q*d**4 + 4/5*d**3.
2*d*(d - 1)*(d + 1)*(d + 2)/5
Let u(g) be the second derivative of 3*g + 0*g**2 - 2/5*g**5 + 0 - 1/9*g**3 - 1/3*g**4 - 1/21*g**7 - 2/9*g**6. Suppose u(m) = 0. Calculate m.
-1, -1/3, 0
Let n(y) be the second derivative of -3*y + 0*y**2 + 0*y**3 + 0 + 1/6*y**4. Determine c so that n(c) = 0.
0
Let s be (2/(-315))/((-36)/21). Let h(d) be the third derivative of 1/54*d**4 + 0 + 1/27*d**3 + 0*d + s*d**5 - d**2. Determine l so that h(l) = 0.
-1
Let g = -26 - -26. Factor 8/3*p**2 - 2/3*p**3 - 8/3*p + g.
-2*p*(p - 2)**2/3
Factor 14/3*h + 2 + 2/3*h**3 + 10/3*h**2.
2*(h + 1)**2*(h + 3)/3
Let w(j) = j**3 + 25*j**2 - 35*j + 21. Let k(n) = n**3 + 1. Let v(i) = -6*k(i) + w(i). Factor v(c).
-5*(c - 3)*(c - 1)**2
Let i = 3/20 - -7/20. Determine j so that -1/4*j**2 - 1/4*j + i = 0.
-2, 1
Let a(l) = -l - 1. Let f(c) = 9*c**2 + 13*c - 5. Let h(w) = -8*w**2 - 12*w + 4. Let x(s) = 5*f(s) + 6*h(s). Let z(i) = -a(i) + x(i). Solve z(g) = 0 for g.
-2, 0
Let g = -687 - -689. Factor -2/7 - 2/7*j**g - 4/7*j.
-2*(j + 1)**2/7
Let j(o) be the first derivative of 0*o - 2/3*o**2 - 1/15*o**5 + 1 - 5/12*o**4 - 8/9*o**3. Factor j(u).
-u*(u + 1)*(u + 2)**2/3
Let y be 10/(-6) + (-632)/(-264) + 0. Solve -18/11*f + 4/11 + 6/11*f**2 + y*f**3 = 0 for f.
-2, 1/4, 1
Let d(k) be the first derivative of k**3/24 + k**2/16 + 1. Solve d(j) = 0 for j.
-1, 0
Let k(b) be the second derivative of -b**7/2100 + b**6/450 - b**5/300 - b**3/2 + 4*b. Let q(v) be the second derivative of k(v). Suppose q(f) = 0. Calculate f.
0, 1
Factor -45/7*z + 0 - 93/7*z**2 - 51/7*z**3 - 3/7*z**4.
-3*z*(z + 1)**2*(z + 15)/7
Let m = 18/19 - 88/133. Factor 0*h + 0*h**3 - 2/7*h**4 + 0*h**2 + 0 - m*h**5.
-2*h**4*(h + 1)/7
Determine p, given that 33/2*p**3 + 3*p**2 + 0 + 27/2*p**4 + 0*p = 0.
-1, -2/9, 0
Let y(s) be the first derivative of 4*s - 2/3*s**3 + 2 + s**2. Find l, given that y(l) = 0.
-1, 2
Let o be -3*(112/(-24) - -4). Solve 0 - 9/2*n**3 + 3/2*n**4 + 9/2*n**o - 3/2*n = 0 for n.
0, 1
Let v(j) be the first derivative of j**3 - 9*j**2 + 27*j - 5. Factor v(z).
3*(z - 3)**2
Factor 0 - 10/7*j**2 - 6/7*j - 4/7*j**3.
-2*j*(j + 1)*(2*j + 3)/7
Let w(h) be the third derivative of -h**8/420 - 2*h**7/525 + h**6/30 - h**5/25 - 25*h**2. Factor w(j).
-4*j**2*(j - 1)**2*(j + 3)/5
Let i be 1/(-5) - (-9)/9. Let u(y) be the first derivative of 1/10*y**4 + 8/15*y**3 + y**2 + 1 + i*y. Factor u(k).
2*(k + 1)**2*(k + 2)/5
Let x(b) be the second derivative of -2*b**6/15 - 2*b**5/5 + 4*b**3/3 + 2*b**2 + 20*b. Suppose x(m) = 0. Calculate m.
-1, 1
Let c(h) be the second derivative of -1/42*h**4 - 4/7*h**2 + 4*h + 0 - 5/21*h**3. Solve c(u) = 0 for u.
-4, -1
Let w(a) = -2*a**3 + a**2 - 1. Let g be w(-1). Let l = 41 - 103/3. Solve l*n**4 + 4*n**2 + 2/3*n + 8*n**3 + g*n**5 + 0 = 0 for n.
-1, -1/3, 0
Let k(z) = -z**5 + z**4 + z**2 - z + 1. Let v(a) = -3*a**5 + 9*a**4 + 5*a**2 - 5*a + 5. Let h(f) = -5*k(f) + v(f). Determine u, given that h(u) = 0.
-2, 0
Let a(y) = -36*y**2 - 55*y - 19. Let n(z) = 19*z + 18*z**2 + 9 + 0*z + 9*z + 1. Let k(i) = 6*a(i) + 11*n(i). Factor k(t).
-2*(t + 1)*(9*t + 2)
Factor 5*w**3 - 4*w - 3*w**2 - 2*w**3 - 2*w.
3*w*(w - 2)*(w + 1)
Let k(n) be the second derivative of -n**8/23520 - n**7/2940 - n**6/1260 + n**4/6 - 5*n. Let w(h) be the third derivative of k(h). Factor w(v).
-2*v*(v + 1)*(v + 2)/7
Let z(f) be the third derivative of -f**5/300 + f**3/30 +