4) + s/14. Determine v, given that -v**2 + 1/3 + 1/3*v + 2/3*v**m - 1/3*v**3 = 0.
-1, -1/2, 1
Let u(x) be the first derivative of -3/8*x**2 - 15*x**5 - 25/8*x**3 - 7*x**6 - 333/32*x**4 + 0*x + 4. Determine h so that u(h) = 0.
-1, -2/7, -1/4, 0
Factor 0*b**2 + 2/7*b**5 + 0 - 4/7*b**3 + 0*b**4 + 2/7*b.
2*b*(b - 1)**2*(b + 1)**2/7
Factor 2/7*n**2 + 0 - 4/7*n - 2/7*n**4 + 4/7*n**3.
-2*n*(n - 2)*(n - 1)*(n + 1)/7
Let p(r) be the third derivative of -1/70*r**7 - 1/112*r**8 + 1/40*r**6 + 0*r**3 - 3*r**2 + 0 + 0*r**4 + 0*r + 1/20*r**5. Find b, given that p(b) = 0.
-1, 0, 1
Suppose 4*d + 5 = 2*p - 5, 0 = 4*p - 20. Factor 0 + d*s + 4/9*s**3 - 2/9*s**4 + 0*s**2.
-2*s**3*(s - 2)/9
Let h be ((-1)/3)/(3/(-36)). Suppose -3*n = 2*r + 8 - 38, h*n + r - 40 = 0. Suppose 4*t**4 + 6*t**4 - 8*t**3 - n*t**5 + t**2 + t**2 + 6*t**5 = 0. Calculate t.
0, 1/2, 1
Let y(q) be the third derivative of -q**5/300 + q**4/40 - q**3/15 - 4*q**2. Solve y(c) = 0.
1, 2
Let a = 2 - -2. Let j be (-2)/a*(-10 + 0). Factor -2*p**3 + p**3 + 1 - j*p + 3*p**2 + 2*p.
-(p - 1)**3
Let y(i) be the first derivative of -i**3 + 0*i + 9/2*i**2 - 3. Determine u, given that y(u) = 0.
0, 3
Let d be ((-10)/7)/(2 - (-6)/(-2)). Find l, given that -2/7*l + 8/7*l**5 + 0 - 6/7*l**3 - 10/7*l**2 + d*l**4 = 0.
-1, -1/4, 0, 1
Let t be ((-1 + 5)/(-4))/(-2). Let z(c) be the second derivative of 0 + 0*c**3 - 1/12*c**4 - c + t*c**2. Let z(d) = 0. Calculate d.
-1, 1
Let f(i) be the second derivative of 32*i**5/25 - 8*i**4/5 + 4*i**3/5 - i**2/5 - 6*i. Solve f(a) = 0.
1/4
Suppose 0*g = -g + 3. Find b such that 9*b**2 - 3*b + g*b**3 - 3*b**2 - 6 + 0*b**3 = 0.
-2, -1, 1
Let f(r) be the second derivative of r**4/3 + 8*r**3/9 + 2*r**2/3 - 14*r. Factor f(y).
4*(y + 1)*(3*y + 1)/3
Let r(p) be the third derivative of p**7/210 - p**5/60 - 6*p**2. Factor r(x).
x**2*(x - 1)*(x + 1)
Let u = 6 + 1. Let j(w) = 6*w**2 + w + 7. Let f(z) = -3*z**2 - z - 4. Let l(b) = u*f(b) + 4*j(b). Factor l(p).
3*p*(p - 1)
Let n = -13 + 16. Let w(t) = -t**3 - 7*t**2 - t - 3. Let j be w(-7). Let 0*v - 2/5*v**n + 0 + 0*v**2 + 2/5*v**j = 0. What is v?
0, 1
What is h in 58*h**3 + 22*h**4 + 50*h**4 + 20*h**5 - 10*h**3 - 32*h**2 = 0?
-2, 0, 2/5
Let c(y) be the first derivative of 0*y**3 - y + 1 - 1/15*y**6 + 0*y**4 + 0*y**5 + 0*y**2. Let o(j) be the first derivative of c(j). Factor o(x).
-2*x**4
Let m(v) be the second derivative of v**5/10 - 4*v**4/9 + v**3/3 + 2*v**2/3 + v. Find s, given that m(s) = 0.
-1/3, 1, 2
Let i(n) = -n**3 + 2*n**2 + 4*n - 3. Let x(c) = -c**3 + 2*c**2 + 4*c - 2. Let a(s) = -6*i(s) + 5*x(s). Let a(v) = 0. What is v?
-2, 2
Let f(q) be the second derivative of q**5/20 + q**4/6 + q**3/6 - 11*q. Let f(n) = 0. What is n?
-1, 0
Let s(x) be the first derivative of -1/6*x**6 - 6 - 4/5*x**5 + 2*x + 2/3*x**3 - x**4 + 5/2*x**2. Suppose s(g) = 0. What is g?
-2, -1, 1
Let z(u) be the first derivative of 1 - 3/22*u**4 + 2/11*u**2 + 0*u - 2/11*u**3 + 14/55*u**5 - 1/11*u**6. Factor z(x).
-2*x*(x - 1)**3*(3*x + 2)/11
Suppose 2*d - 9 = -5*q, -2*q - 2 = -5*d + 6. Suppose 3*a + 3 = 2*r + 14, -3*r = -4*a + 14. Let r*n + n - 3*n + d*n**2 = 0. Calculate n.
0
Determine n so that 1/8*n**4 + 0 - 3/8*n**3 + 0*n + 1/4*n**2 = 0.
0, 1, 2
Let a = -43 + 46. What is l in 1/4*l - 1/4*l**a + 1/4*l**4 + 0 - 1/4*l**2 = 0?
-1, 0, 1
Suppose 0 = 2*d + 3 - 11. Let z = d + -4. What is y in -2/3*y + 2/3*y**5 - 4/3*y**2 + 0*y**3 + z + 4/3*y**4 = 0?
-1, 0, 1
Let q(l) = -l - 15. Let o be q(0). Let m be ((-32)/(-10))/(o/(-75)). Factor -2/3*y - 2/3*y**3 - 32/3*y**5 + 0 - 4*y**2 + m*y**4.
-2*y*(y - 1)**2*(4*y + 1)**2/3
Let t(x) be the second derivative of x**6/2 + 3*x**5/5 - 3*x**4/8 - x**3 + 3*x**2/2 - 3*x. Let h(v) be the first derivative of t(v). Factor h(a).
3*(2*a + 1)**2*(5*a - 2)
Let m(f) be the first derivative of -f**6/33 + 8*f**5/55 - 3*f**4/11 + 8*f**3/33 - f**2/11 - 6. Factor m(g).
-2*g*(g - 1)**4/11
Let q(y) = y**2 + 12*y + 7. Let x be q(-9). Let r be ((-8)/5)/(4/x). Determine b, given that r*b**4 + 2*b - 6*b**3 + 8*b**5 + 1 - 1 - 4*b**2 = 0.
-1, 0, 1/2
Let x(n) be the first derivative of 2*n**3/9 + n**2/3 - 4*n - 34. Find u such that x(u) = 0.
-3, 2
Let s(a) be the second derivative of a + 0*a**2 + 0*a**4 - 5/6*a**3 + 0 + 1/20*a**5. Let l(z) = z. Let w(f) = -4*l(f) - s(f). Factor w(d).
-d*(d - 1)*(d + 1)
Factor 16*j + 742*j**3 - 2*j**4 - 4*j**5 - 44*j**2 - 2*j**4 - 706*j**3.
-4*j*(j - 1)**3*(j + 4)
Let l be 1*4*(-11 + 10). Let r be ((-6)/l)/((-336)/(-128)). Factor 0 - 2/7*j**2 + r*j - 2/7*j**3.
-2*j*(j - 1)*(j + 2)/7
Factor g - 1/4*g**2 - 1.
-(g - 2)**2/4
Let a(n) = 3*n**2 - 4*n + 1. Let g(i) = -2 - 4*i**2 + 7*i + 3*i**2 - 4*i**2. Let y = -8 - -1. Let b(k) = y*a(k) - 4*g(k). Suppose b(l) = 0. What is l?
-1, 1
Let j(c) be the first derivative of -c**6/105 + c**5/35 + c**4/14 - 4*c**3/21 - 4*c**2/7 - 2*c + 3. Let b(v) be the first derivative of j(v). Factor b(w).
-2*(w - 2)**2*(w + 1)**2/7
Suppose k - 13 = 3*a, -28 = -4*k - 0*a + 4*a. Let x(o) be the second derivative of -4*o + 0*o**2 - 1/66*o**k + 2/33*o**3 + 0. Factor x(p).
-2*p*(p - 2)/11
Let v(s) = -s**3 + 5*s + 5. Let d be v(-2). Solve 0*h + 0*h**2 - 2/7*h**5 + 0*h**4 + 2/7*h**d + 0 = 0.
-1, 0, 1
Let i(u) be the first derivative of 3*u**4/4 - 7*u**3/3 + u**2 + 1. Determine f, given that i(f) = 0.
0, 1/3, 2
Suppose -4 = -5*z + 6. Suppose 2*i - 8 = -z. Factor -t**3 - t**2 - t - i*t**3 + t**4 + 5*t**3.
t*(t - 1)*(t + 1)**2
Let x(p) = -3*p + 20. Let r be x(6). Let y(l) be the second derivative of -1/24*l**3 - l + 0 + 0*l**r - 1/48*l**4. Determine v, given that y(v) = 0.
-1, 0
Let o(d) be the third derivative of d**8/16 + 9*d**7/70 - d**6 - 3*d**5/5 + 26*d**2. Solve o(j) = 0.
-3, -2/7, 0, 2
Let z(c) = c**3 + 6*c**2 - 2*c - 12. Let t be z(-6). Find u, given that -15*u - 4 + t*u - 18*u**2 - 7*u + 0*u = 0.
-1, -2/9
Suppose -184*g + 199*g = 0. Factor 2/9*l - 2/9*l**2 + g.
-2*l*(l - 1)/9
Let t be (18 - 0)/((-4)/10). Let y be (10/(-12))/(10/t). Factor 4*s**4 - 2*s**3 - 1/4 - y*s**2 + 2*s.
(s - 1)*(s + 1)*(4*s - 1)**2/4
Let b be (156/(-112))/3 + (-9)/(-12). Suppose -4/7*d + 2/7*d**2 + b = 0. Calculate d.
1
Let j be (10/(-15))/(-1 - 3). Let l(k) be the second derivative of 1/120*k**6 + 0 + 1/8*k**2 + j*k**3 + 1/8*k**4 + 1/20*k**5 + k. Factor l(v).
(v + 1)**4/4
Find k, given that 53*k**4 - 44*k**4 - 3*k**3 - 9*k**2 + 0*k**3 + 6*k - 3*k**3 = 0.
-1, 0, 2/3, 1
Determine c so that 0*c**2 - 13*c**2 - 20*c + 11*c**3 + 46 - 42 = 0.
-1, 2/11, 2
Factor -4/11*y**2 + 0 - 2/11*y - 2/11*y**3.
-2*y*(y + 1)**2/11
Suppose 2*j + 10 = -5*i - 34, -4*j - 2*i = 72. Let u = -15 - j. Solve 4/5*s - 14/5*s**u - 4/5*s**3 + 0 + 14/5*s**4 = 0.
-1, 0, 2/7, 1
Solve 2/13*t**2 - 2/13*t**4 + 2/13*t**3 + 0 - 2/13*t = 0 for t.
-1, 0, 1
Factor 15*j + 4*j - 9*j - 2*j**2.
-2*j*(j - 5)
Suppose -2*p = -7*p + 30. Suppose -p = -4*o + o. Let 2/3 - 2/3*v + 2/3*v**3 - 2/3*v**o = 0. What is v?
-1, 1
Let g = 26 - 51/2. Find k, given that -3/4*k**2 - 1/4*k + g = 0.
-1, 2/3
Factor 4/3 - 25/3*n**3 + 15*n**2 - 8*n.
-(n - 1)*(5*n - 2)**2/3
Let m(f) = -2*f**3 + 30*f**2 + 36*f + 6. Let l(q) = -3*q**3 + 31*q**2 + 36*q + 7. Let b(i) = -6*l(i) + 7*m(i). Suppose b(r) = 0. What is r?
-3, 0
Suppose 20*t + 10*t**4 + 1749*t**3 - 24*t**2 - 11*t**2 + 9*t**2 + 2*t**5 - 1755*t**3 = 0. What is t?
-5, -2, 0, 1
Let o be (-74)/(-26) - 44/(-286). Let b(r) be the third derivative of -r**2 + 0*r**o - 1/30*r**5 + 0 + 1/60*r**6 + 0*r + 1/105*r**7 - 1/12*r**4. Factor b(v).
2*v*(v - 1)*(v + 1)**2
Let f(c) be the first derivative of c**3/3 + 4*c**2 + 16*c - 2. Factor f(x).
(x + 4)**2
Let j(l) be the second derivative of 0*l**2 + l + 0*l**3 + 1/54*l**4 - 1/90*l**5 + 0. Let j(r) = 0. What is r?
0, 1
Let n = 6 - 4. Let y(g) = 5*g**2 + g. Let c be y(-1). Determine k, given that 3*k**2 + k**4 + k**c - 5*k**n = 0.
-1, 0, 1
Let q(b) be the second derivative of 2*b**4/3 + 7*b**3/3 - 2*b**2 + 19*b. Factor q(n).
2*(n + 2)*(4*n - 1)
Let f(s) be the third derivative of -s**5/30 + s**4/4 - 21*s**2 + 1. Factor f(q).
-2*q*(q - 3)
Factor -3/5*j**5 + 0 + 12/5*j**3 + 0*j**2 + 0*j + 0*j**4.
-3*j**3*(j - 2)*(j + 2)/5
Suppose 2*g = -2*g + 12. Factor -u**2 - 7*u - u**3 + g*u + 3*u**3 + 3*u**2.
2*u*(u - 1)*(u + 2)
Suppose 4*k = -14*a + 11*a + 20, 15 = 2*a + 3*k. Determine w, given that a + 0*w + w**3 + 2*w**5 + 7/2*w**4