 4*q**3/3 + q**2/2 + q/2 + 1. Find n, given that h(n) = 0.
-1, -1/4, 1
Let q be ((-5)/(-1) + 7 + -6)/1. Let x(s) be the third derivative of 0*s**4 + 0*s**3 - 1/105*s**7 - 1/30*s**5 + 0 - 2*s**2 + 1/30*s**q + 0*s. Factor x(d).
-2*d**2*(d - 1)**2
Let u(i) = 28*i**4 + 104*i**3 + 380*i**2 + 480*i + 208. Let h(q) = -9*q**4 - 35*q**3 - 127*q**2 - 160*q - 69. Let p(m) = 16*h(m) + 5*u(m). Factor p(o).
-4*(o + 1)**2*(o + 4)**2
Determine y, given that 0*y - 3/5*y**2 + 0 = 0.
0
Let c(h) be the second derivative of -7*h**6/15 - 23*h**5/10 - 9*h**4/2 - 13*h**3/3 - 2*h**2 - 62*h. Factor c(p).
-2*(p + 1)**3*(7*p + 2)
Let n(g) = -6*g**2 + 7*g - 1. Suppose 0 = s + 3, -5 = -3*o + 2*o + s. Let l(q) = -5*q + q - 4*q + 6*q**2 + o*q. Let t(b) = -5*l(b) - 4*n(b). Solve t(r) = 0.
-2/3, 1
Let v be (-1 - (-2 + 1)) + -5. Let y be (2/(-5) + 0)*v. Factor -3*n**y + 2*n**3 + n**3 - 3*n - 4*n**3 - 1.
-(n + 1)**3
Let k = 0 - 10. Let z be (-1 + 3)*(-2)/k. Factor -2/5*g**2 - z - 4/5*g.
-2*(g + 1)**2/5
Let k be (0 + -6 - -3) + -15. Let l be 4*3*(-3)/k. Determine d so that -2/9*d**l - 2/9 - 4/9*d = 0.
-1
Let z = -4 - -7. Let u be 5/6*6/10. Factor -1/2 + 1/2*v**2 + 1/2*v**z - u*v.
(v - 1)*(v + 1)**2/2
Let r = -61/12 - -19/4. Let d = 7/6 - r. Determine y so that -d + 3/2*y**2 + 0*y = 0.
-1, 1
Let t be 2 + -2 + 2 - 0. Let w be -6 + t + 12 + -7. Let -w + 1/2*p + 1/2*p**2 = 0. What is p?
-2, 1
Let t(v) = -4 - 1 - 12*v**2 + 10*v**2 - 11*v. Let x(f) = 3*f**2 + 12*f + 6. Let b(d) = -6*t(d) - 5*x(d). Let b(q) = 0. What is q?
0, 2
Let a(l) = -l**2 + 8*l - 8. Let g be a(6). Let x(j) be the third derivative of 0*j + 0 + j**2 - 1/36*j**g - 1/30*j**5 + 2/9*j**3. Let x(k) = 0. Calculate k.
-1, 2/3
Let w(c) = 7*c**3 + c**2 + 12*c + 5. Let k(a) = -3*a**3 - a**2 - 6*a - 2. Let t(f) = 9*k(f) + 4*w(f). Let p be t(6). Factor 1/4*j - 1/4*j**3 - 1/4*j**p + 1/4.
-(j - 1)*(j + 1)**2/4
Let n = 142 - 140. Let x(b) be the first derivative of 4 + 0*b**3 - 1/5*b**n + 1/5*b**4 + 0*b + 0*b**5 - 1/15*b**6. Suppose x(q) = 0. Calculate q.
-1, 0, 1
Let h = -58/63 - -8/7. Let a be 4/10 + (-24)/135. Find v such that 0*v - a + h*v**2 = 0.
-1, 1
Factor 0*y + 2/5*y**4 - 4/5*y**2 + 2/5 + 0*y**3.
2*(y - 1)**2*(y + 1)**2/5
Let q(g) = -13*g - 5. Let k be q(-2). Let y be 1 + (120/k - 1). Determine o so that -30/7*o**4 - y*o**3 + 0*o + 2/7 - 20/7*o**2 - 8/7*o**5 = 0.
-1, 1/4
Let c(g) be the third derivative of g**5/180 - g**3/18 + 4*g**2. Find v such that c(v) = 0.
-1, 1
Let g = 125/393 + 2/131. Suppose g*x**3 + 0 + 1/3*x + 2/3*x**2 = 0. Calculate x.
-1, 0
Let o(n) be the third derivative of -5/48*n**4 - 1/12*n**3 + 0*n + 0 - 1/672*n**8 - 1/12*n**5 - 1/24*n**6 - 3*n**2 - 1/84*n**7. Suppose o(y) = 0. What is y?
-1
Let i(u) be the third derivative of -u**8/168 - u**7/105 - 5*u**2. Determine c, given that i(c) = 0.
-1, 0
Factor -12/7*p - 18/7 - 2/7*p**2.
-2*(p + 3)**2/7
Solve 19*n**3 + n**4 - 4*n + 31*n**3 - 4*n**2 - 49*n**3 = 0.
-2, -1, 0, 2
Solve -1/2 - r - 1/2*r**2 = 0.
-1
Let c(h) be the first derivative of -h**8/3360 - h**7/3360 + h**6/1440 - 4*h**3/3 + 2. Let p(v) be the third derivative of c(v). Let p(k) = 0. What is k?
-1, 0, 1/2
Factor 3/5*m**2 + 2/5*m + 0 + 0*m**3 - 1/5*m**4.
-m*(m - 2)*(m + 1)**2/5
Let h(k) be the second derivative of k**6/10 + 3*k**5/10 - k**3 - 3*k**2/2 - 48*k. Factor h(x).
3*(x - 1)*(x + 1)**3
Let i be 2 - 9 - 154/(-22). Solve 0 + 3/4*d**3 - 3/4*d**2 + i*d = 0 for d.
0, 1
Let r = -245 + 5147/21. Let k(b) be the first derivative of -2/35*b**5 + 3 + 0*b - 1/7*b**2 + r*b**3 + 1/14*b**4. Suppose k(o) = 0. Calculate o.
-1, 0, 1
Let -2*r - r + r**2 + r = 0. Calculate r.
0, 2
Let v(s) be the second derivative of -s**6/15 + 3*s**5/10 - s**4/6 - s**3 + 2*s**2 + 33*s. Factor v(k).
-2*(k - 2)*(k - 1)**2*(k + 1)
Factor 0*p**3 - 2*p**3 + 6*p**4 - 4*p**4.
2*p**3*(p - 1)
Let f(s) be the first derivative of 3*s**5/5 - 3*s**3 - 3*s**2 + 1. Let f(m) = 0. What is m?
-1, 0, 2
Let x be -2*(-3 - (-3 - -2)). Factor -4*c**3 + c**2 + 2*c**x - c**2 + 2*c**2.
2*c**2*(c - 1)**2
Factor 2*b**3 + 3*b**5 - 2*b - 5*b**5 + 2*b**3.
-2*b*(b - 1)**2*(b + 1)**2
Let l(c) be the second derivative of 0*c**3 - 1/10*c**4 + 0*c**2 - 3/100*c**5 - 2*c + 3/50*c**6 + 0. Factor l(z).
3*z**2*(z - 1)*(3*z + 2)/5
Let r(h) = -8*h**3 - 6*h**2 + 7*h + 7 + 4*h**2 + h**3. Let k(s) = -6*s**3 - 2*s**2 + 6*s + 6. Let l(b) = 5*k(b) - 4*r(b). Let l(q) = 0. Calculate q.
-1, 1
Factor 0 + 3/8*t**5 + 3/2*t**4 + 0*t + 15/8*t**3 + 3/4*t**2.
3*t**2*(t + 1)**2*(t + 2)/8
Suppose 2 = -3*q + 8. Let k(j) be the second derivative of 0 + j - 1/20*j**5 + 0*j**q - 1/6*j**3 + 1/6*j**4. Factor k(o).
-o*(o - 1)**2
Let o(c) = -c**3 - c**2 - c - 1. Let x(l) = 11*l**3 + 6*l**2 + l + 6. Let g(s) = -6*o(s) - x(s). Factor g(u).
-5*u*(u - 1)*(u + 1)
Let i(q) be the first derivative of 1/15*q**3 - 2/5*q**2 + 1/30*q**4 - 2 + 2*q. Let t(p) be the first derivative of i(p). Factor t(m).
2*(m - 1)*(m + 2)/5
Factor 2/5*u**2 + 8/5*u + 8/5.
2*(u + 2)**2/5
Let u(m) be the third derivative of m**8/1200 - m**7/105 + 17*m**6/600 + 3*m**5/100 + 4*m**3/3 + 5*m**2. Let s(j) be the first derivative of u(j). Factor s(g).
g*(g - 3)**2*(7*g + 2)/5
Suppose -w + 14 = -c, 4*w - 30 = -4*c + 2. Solve -w + 3*i**3 + 11 = 0.
0
Let i = -9 + 13. Let c = -2 + i. Factor -f**4 - 1 - 2*f**3 + 2*f**2 - 2*f**4 + f + c*f**4 + f**5.
(f - 1)**3*(f + 1)**2
Let z(c) = -c**3 - 14*c**2 - 2*c - 28. Let w be z(-14). Factor 0 + 0*x + w*x**2 - 4/7*x**5 - 2/7*x**4 + 2/7*x**3.
-2*x**3*(x + 1)*(2*x - 1)/7
Let y = -59 + 64. Let c(a) be the second derivative of a + 0*a**2 + 1/3*a**3 + 0 + 3/4*a**4 + 9/20*a**y. Suppose c(r) = 0. What is r?
-2/3, -1/3, 0
Let y(w) be the first derivative of -2*w - 1 + 0*w**2 + 2/3*w**3. Let y(u) = 0. What is u?
-1, 1
Let h(q) = -q**2 + 4*q + 5. Let y be h(4). Suppose 5*v - y = 5. Factor -3*r**v + 2*r**2 - 4 - 2*r + 6*r.
-(r - 2)**2
Solve 0 + 2/3*u**2 - u**3 - 1/6*u**5 + 2/3*u**4 - 1/6*u = 0 for u.
0, 1
Let 2/11*d**2 - 2/11 + 0*d = 0. What is d?
-1, 1
Let v(a) = -a**2 + a. Let o(q) = -7*q**2 - q. Let d(y) = -o(y) + 6*v(y). Find u, given that d(u) = 0.
-7, 0
Let r be 6*5/50*5. Let f(i) be the second derivative of 1/16*i**4 + 0 - 1/4*i**r + 2*i + 0*i**2. Factor f(b).
3*b*(b - 2)/4
Let j(x) be the second derivative of -4*x + 1/3*x**2 - 1/18*x**3 - 1/36*x**4 + 0. Solve j(l) = 0 for l.
-2, 1
Let h = -21 - -25. Let o(x) = x**4 - x**3. Let t(z) = 4*z**4 - 4*z**2. Let y(b) = h*o(b) - 2*t(b). Factor y(m).
-4*m**2*(m - 1)*(m + 2)
Let m(g) = 7*g**2 + 2*g + 9. Let c(w) = -3 + 3*w + 10*w**2 - 2*w**2 + 4 + 9. Let p(v) = 6*c(v) - 7*m(v). Factor p(h).
-(h - 3)*(h - 1)
Factor -4/7*v**2 + 6/7*v - 4/7*v**3 - 2/7*v**5 + 6/7*v**4 - 2/7.
-2*(v - 1)**4*(v + 1)/7
Let c(l) = l + 10. Let a be c(-8). Let d be a/4 - (-6)/4. Factor 1/4 - 1/2*y + 1/4*y**d.
(y - 1)**2/4
Let i(a) = -a - 1. Suppose -4 = x - 5. Let c(t) = -6*t**2 + 9*t - 12. Let n(u) = x*c(u) - 6*i(u). Factor n(d).
-3*(d - 2)*(2*d - 1)
Factor 0 + 0*z**2 + 0*z - 1/6*z**4 + 1/3*z**3.
-z**3*(z - 2)/6
Let l(b) be the third derivative of -b**7/630 + b**5/180 + 9*b**2. Factor l(c).
-c**2*(c - 1)*(c + 1)/3
Factor -3 + c**3 + 12 - 5*c**2 + 0*c + 3*c.
(c - 3)**2*(c + 1)
Suppose -83*n**2 + 98*n**2 - 4 + 24 + 40*n = 0. What is n?
-2, -2/3
Let l(b) = -b**3 + 5*b**2 + 5*b + 8. Let m be l(6). Factor 2*j**2 + 16 + 4*j - m*j**3 - 33 + 17.
-2*j*(j - 2)*(j + 1)
Let s(m) be the third derivative of 0 + 0*m - 1/120*m**6 + 0*m**3 + 9*m**2 - 1/60*m**5 + 1/12*m**4. Factor s(b).
-b*(b - 1)*(b + 2)
Let m = -199/4 + 50. Let 3/4*l**2 - 3/4*l - m*l**3 + 1/4 = 0. What is l?
1
Let z(q) be the first derivative of -q**4/4 + 3*q**2/8 + q/4 - 5. Factor z(h).
-(h - 1)*(2*h + 1)**2/4
Find k such that -12*k**2 - 7*k**5 + 11*k**5 - 12*k**3 + 4*k**2 = 0.
-1, 0, 2
Let l(j) = -5*j**3 - 27*j**2 + 4*j + 15. Let z(b) be the first derivative of -b**4/2 - 13*b**3/3 + b**2 + 7*b + 4. Let o(r) = 6*l(r) - 13*z(r). Factor o(u).
-(u - 1)**2*(4*u + 1)
Solve -1/4*x**2 + 0 + 5/2*x = 0 for x.
0, 10
Factor -15*w**5 - 2*w**2 - 12*w**3 + 33*w**3 + 14*w**2 + 6*w**4 + 12*w**5.
-3*w**2*(w - 4)*(w + 1)**2
Let d(u) be the second derivative of -u**7/63 + u**6/45 + u**5/5 + u**4/9 - 5*u**3/9 - u**2 - 4*u. Solve d(t) = 0 for t.
-1, 1, 3
Factor -6/7*b**2 + 2/7*b**5 - 2/7*b**4 - 10/7*b**3 + 0 + 0*b.
2*b**2*(b - 3)*(b + 1)**2/7
Let x(u)