/2). Find u, given that 1/3*u**3 + 0 - 1/3*u + 0*u**x = 0.
-1, 0, 1
Suppose 8*k - 3*k - 2*a - 13 = 0, 4 = 4*a. Let b(g) be the first derivative of -2/3*g + 0*g**2 + 3 + 2/9*g**k. Determine p so that b(p) = 0.
-1, 1
Suppose 0*w + 0 - 2/7*w**5 + 8/7*w**2 - 6/7*w**4 + 0*w**3 = 0. What is w?
-2, 0, 1
Factor -2*g**3 + 6*g**4 - 3*g**4 + 8*g**5 - 9*g**5.
-g**3*(g - 2)*(g - 1)
Let a(l) be the first derivative of 9*l**3 + 84*l**2 + 36*l - 33. Solve a(q) = 0 for q.
-6, -2/9
Factor 11/2*f + 1/2*f**3 + 5/2 + 7/2*f**2.
(f + 1)**2*(f + 5)/2
Factor -7*x**2 - x**2 + 4*x + 0*x**2 + 4*x**3.
4*x*(x - 1)**2
Let i(h) be the first derivative of -4/17*h**3 - 6 + 8/17*h**2 + 2/85*h**5 + 0*h**4 - 6/17*h. Factor i(t).
2*(t - 1)**3*(t + 3)/17
Let f(h) be the third derivative of 0 + 0*h**3 + 3*h**2 + 0*h + 1/60*h**5 + 1/120*h**6 + 0*h**4. Let f(y) = 0. What is y?
-1, 0
Let i(z) = -7*z**3 + z**2 - 5*z - 7. Let n(w) = -6*w**3 + w**2 - 4*w - 6. Let j(k) = 5*i(k) - 6*n(k). Factor j(u).
(u - 1)**2*(u + 1)
Let t(y) = 9*y**5 + 4*y**4 + 17*y**3 - 4*y**2 + 13. Let g(d) = 4*d**5 + 2*d**4 + 8*d**3 - 2*d**2 + 6. Let x(v) = -13*g(v) + 6*t(v). Factor x(p).
2*p**2*(p - 1)**2*(p + 1)
Let h(l) be the second derivative of 0 + 0*l**2 + 0*l**3 - 1/60*l**5 + 1/90*l**6 + 2*l - 1/18*l**4. Find b such that h(b) = 0.
-1, 0, 2
Let z = 131 + -125. Factor -2/9*w**3 - 2*w**2 - z - 6*w.
-2*(w + 3)**3/9
Let d(j) = -j**3 + j**2 + 1. Let k(v) = -4*v**3 + 6*v**2 - v + 4. Let h(r) = -5*d(r) + k(r). Solve h(b) = 0.
-1, 1
Let n(u) be the first derivative of u**4/10 + u**3/15 - 2*u**2/5 + 2*u + 2. Let a(l) be the first derivative of n(l). Determine h so that a(h) = 0.
-1, 2/3
Let k be ((-12)/(-10))/((-6)/(-15)). Suppose -6*h**4 - 2*h**2 + h**4 + 3*h**4 - 5*h**k + 9*h**3 = 0. What is h?
0, 1
Let f = -4 - -14. Suppose -b - 3*j = -1 + 4, -j = 4*b - f. Factor 1/2*z**2 - 1/2*z**4 + 1/2*z - 1/2*z**b + 0.
-z*(z - 1)*(z + 1)**2/2
Let l = 27/100 - 1/50. Let g(p) be the second derivative of 0 - 1/24*p**4 - l*p**3 - 1/2*p**2 - 3*p. Factor g(r).
-(r + 1)*(r + 2)/2
Let u(x) be the second derivative of 3*x**7/91 + x**6/65 - x**5/26 + x**4/78 + 4*x. Factor u(m).
2*m**2*(m + 1)*(3*m - 1)**2/13
Suppose 5*b - 5*o = 13 - 8, 0 = 4*b - o - 1. Let c(a) be the third derivative of -1/9*a**3 - 4*a**2 + 1/24*a**4 + b*a + 0*a**5 - 1/360*a**6 + 0. Factor c(z).
-(z - 1)**2*(z + 2)/3
Let h(w) be the third derivative of 2*w**7/63 - 13*w**6/90 + 11*w**5/45 - w**4/6 - 4*w**2. Factor h(y).
4*y*(y - 1)**2*(5*y - 3)/3
Let p(f) = -116*f**3 + 50*f**2 + 4*f - 2. Let g(n) = 349*n**3 - 149*n**2 - 12*n + 6. Let k(j) = 4*g(j) + 11*p(j). Suppose k(l) = 0. Calculate l.
-1/5, 1/4, 1/3
Let v(p) be the third derivative of p**9/3360 + p**8/4032 - 11*p**7/5040 + p**6/360 - p**5/30 + 4*p**2. Let b(x) be the third derivative of v(x). Factor b(u).
(u + 1)*(2*u - 1)*(9*u - 2)
Let q(u) = -u**2 + 6*u - 5. Let h be q(5). Let g(s) be the third derivative of 0 + 0*s**3 - 1/240*s**5 + 2*s**2 + h*s - 1/96*s**4. Factor g(i).
-i*(i + 1)/4
Find b such that b**2 + 0*b**2 + b**2 = 0.
0
Let l(k) be the first derivative of k**5/50 + k**4/20 + k**3/30 + 2. Find x such that l(x) = 0.
-1, 0
Let a be 2/10*-35*2/(-63). Factor -2/9*r**5 - 4/9*r**2 + 2/9*r**4 + a + 4/9*r**3 - 2/9*r.
-2*(r - 1)**3*(r + 1)**2/9
Suppose -142*k + 137*k - 25 = 0. Let o(m) = m**2 + m. Let j(t) = -t**2 + 3*t + 2*t**3 + 2*t + 4*t**2. Let y(f) = k*o(f) + j(f). Factor y(q).
2*q**2*(q - 1)
Let u be (-44)/24 + 2 + (-7)/54. Let o(j) be the second derivative of 2*j + 0 + 1/54*j**4 - u*j**3 + 0*j**2. Factor o(b).
2*b*(b - 1)/9
Let i(h) be the second derivative of h**7/231 + h**6/55 + h**5/110 - h**4/22 - 2*h**3/33 + 19*h. Suppose i(w) = 0. What is w?
-2, -1, 0, 1
Suppose -3*d = 2*d. Suppose d = 3*x - 7 - 5. Find i such that 2/7*i**2 + 2/7*i**3 - 2/7*i + 0 - 2/7*i**x = 0.
-1, 0, 1
Let p(s) be the third derivative of -7*s**6/480 - s**5/15 - 11*s**4/96 - s**3/12 - 6*s**2. Factor p(m).
-(m + 1)**2*(7*m + 2)/4
Let s be (-4)/14 - 48/(-21). Let h(d) be the first derivative of 0*d + s*d**2 + 2 + 2/3*d**3. Factor h(a).
2*a*(a + 2)
Factor -7*g**4 + 20*g**5 - 18*g**5 - 44*g**2 + 36*g**3 - 7*g**4 - 6 + 16*g + 10*g.
2*(g - 3)*(g - 1)**4
Let l be (175/(-10))/(-7) - 2. Factor -1/4*f + 1/4*f**2 - l.
(f - 2)*(f + 1)/4
Let l be (-15 + 5)*2/(-4). Let z(o) = o**3 - o**2 + o + 1. Let h(p) = -p**4 + 6*p**3 - 4*p**2 + 4*p + 5. Let y(w) = l*z(w) - h(w). Factor y(i).
i*(i - 1)**2*(i + 1)
Solve -3/4*n**4 + 3/4*n**5 + 0*n + 0*n**2 + 0 + 0*n**3 = 0.
0, 1
Let y(a) = 4*a - 9. Let k(d) = -2*d + 4. Let x(u) = -5*k(u) - 2*y(u). Let m be x(3). Find g, given that -2/3*g**2 + 0*g + 1/3 + 1/3*g**m + 0*g**3 = 0.
-1, 1
Let c(x) be the third derivative of x**5/24 - 5*x**4/24 - 5*x**3/4 + 9*x**2. Solve c(n) = 0 for n.
-1, 3
Let y(u) = 3*u**4 - 40*u**3 + 115*u**2 - 48*u - 199. Let q(t) = -t**4 + 13*t**3 - 38*t**2 + 16*t + 66. Let i(b) = 21*q(b) + 6*y(b). Factor i(n).
-3*(n - 4)**3*(n + 1)
Let n be ((-27)/(-18))/((-2)/4). Let j be 1*n + 58/18. Suppose j*k**2 + 0 + 0*k + 2/9*k**3 = 0. Calculate k.
-1, 0
Let k(n) be the first derivative of 0*n - 6/5*n**5 + 2/3*n**3 + 1 + 0*n**2 - n**4. Factor k(c).
-2*c**2*(c + 1)*(3*c - 1)
Let z(q) be the second derivative of q**4/60 + q**3/30 - q**2/5 - 5*q. Solve z(f) = 0.
-2, 1
Let j = 13 + -13. Let x(d) be the third derivative of 0 - d**2 - 1/300*d**5 + 0*d + j*d**3 - 1/60*d**4 + 1/600*d**6. Solve x(c) = 0.
-1, 0, 2
Factor 0 - 3/7*d**2 - 3/7*d.
-3*d*(d + 1)/7
Let f(w) be the third derivative of -w**6/420 + w**5/15 - 7*w**4/12 + 4*w**2. What is q in f(q) = 0?
0, 7
Factor 10/17 - 22/17*h + 14/17*h**2 - 2/17*h**3.
-2*(h - 5)*(h - 1)**2/17
Factor 1/2*r**4 + 0 + r - 3/4*r**3 + 1/4*r**5 - r**2.
r*(r - 1)**2*(r + 2)**2/4
Factor 2/13*j**2 + 8/13 - 8/13*j.
2*(j - 2)**2/13
Let k(z) be the third derivative of 1/168*z**8 + 1/35*z**7 + 3*z**2 + 1/30*z**5 + 0*z**3 + 0*z**4 + 1/20*z**6 + 0*z + 0. What is x in k(x) = 0?
-1, 0
Suppose -495 = 5*b - 505. Find m, given that -6/7*m**b - 3/7*m**3 + 0 - 3/7*m = 0.
-1, 0
Let k(r) be the second derivative of 0*r**2 + 1/42*r**4 - 3*r - 1/20*r**5 + 0 + 0*r**3. Let k(v) = 0. What is v?
0, 2/7
Let d(k) be the first derivative of k**3/18 - k**2/3 - 12. Factor d(l).
l*(l - 4)/6
Let t(z) be the third derivative of 0*z + 0*z**3 + 0 - 3/784*z**8 + 3/280*z**6 + 0*z**4 - 1/245*z**7 + 9*z**2 + 1/70*z**5. Determine g, given that t(g) = 0.
-1, -2/3, 0, 1
Suppose -3*j + 21 = -2*q, 2*j - 5*j + 9 = 2*q. Factor 4/11*u**3 + 0*u**4 - 2/11*u - 2/11*u**j + 0 + 0*u**2.
-2*u*(u - 1)**2*(u + 1)**2/11
Let h be (-2)/(2 - (2 + 1)). Suppose 3*l - 4 = h. What is o in 2*o + 2*o**l - 2*o - 2*o**3 = 0?
0, 1
Let k(s) be the second derivative of 5*s**4/48 + 14*s. Factor k(j).
5*j**2/4
Factor 22/13*a**3 + 48/13*a**2 + 4/13 + 30/13*a.
2*(a + 1)**2*(11*a + 2)/13
Let j = 8 + 0. Suppose j*c - c = 0. Suppose -8/5*w**3 + 2*w**2 + c - 2/5*w = 0. What is w?
0, 1/4, 1
Let t(c) be the first derivative of -2*c**5/45 - c**4/6 - 2*c**3/9 - c**2/9 - 11. Factor t(i).
-2*i*(i + 1)**3/9
Let k be (0 + -6)/((-6)/16). Solve k*z + 15*z**2 - 20*z**4 - 10*z**3 - 18*z**3 + 0*z**3 + 17*z**2 = 0.
-2, -2/5, 0, 1
Let v(w) = -1 + 2*w - 3*w + 6 - w**3 - 1. Let j be v(0). Factor b**2 + 3*b**3 + 2*b**2 - 5*b**2 + b**3 - 2*b**j.
-2*b**2*(b - 1)**2
Let u(r) be the second derivative of -r**6/200 + r**5/100 - r**4/120 + r**3/6 - 4*r. Let t(d) be the second derivative of u(d). Let t(n) = 0. Calculate n.
1/3
Let 8/5*r + 2/5 + 2/5*r**4 + 12/5*r**2 + 8/5*r**3 = 0. What is r?
-1
Let y(k) be the third derivative of -k**8/100800 + k**6/3600 - k**5/12 - k**2. Let r(h) be the third derivative of y(h). Factor r(v).
-(v - 1)*(v + 1)/5
Let x(b) be the first derivative of -245*b**3/3 - 70*b**2 - 20*b - 26. Factor x(h).
-5*(7*h + 2)**2
Let i = -61 - -65. Factor -2/3*c**2 + 8/3*c**5 + 4*c**3 + 0 - 6*c**i + 0*c.
2*c**2*(c - 1)**2*(4*c - 1)/3
Let j(i) = 5*i**4 + 3*i**3 + 9*i**2 + 5*i. Let f(l) = -6*l**4 - 2*l**3 - 10*l**2 - 6*l. Let o(c) = -3*f(c) - 4*j(c). Factor o(u).
-2*u*(u + 1)**3
Let u = -5 + 5. Let x = u - -3. Suppose k - 1/2 + 0*k**2 - k**x + 1/2*k**4 = 0. What is k?
-1, 1
Let j(u) be the third derivative of -u**6/180 - u**5/90 + u**4/36 + u**3/9 - 4*u**2. Factor j(a).
-2*(a - 1)*(a + 1)**2/3
Let n(k) = -3*k**2 - k - 1. Let t be n(-1). Let c = -11/4 - t. Suppose 1/2*g