)*5. Factor 1/3*f**u - 1/3*f**2 - 1/3*f**5 + 0*f + 1/3*f**4 + 0.
-f**2*(f - 1)**2*(f + 1)/3
Let i(n) = 7*n**3 - 1. Let h be i(1). Let d = h + -2. Let 3*k**3 + 2*k**3 - 3*k**2 + d - 4*k**3 = 0. What is k?
-1, 2
Suppose 2*g**2 - 8/3*g**4 - 10/3*g**3 + 2/3 + 10/3*g = 0. What is g?
-1, -1/4, 1
Suppose o + m = -0*m + 7, -3*o = -4*m + 7. Solve -4/9*f**o - 4/9*f**2 + 2/9*f + 2/9 + 2/9*f**5 + 2/9*f**4 = 0.
-1, 1
Let d = -935 - -939. Determine n, given that -3/4*n**2 + 3/4*n**d + 3/4*n**3 - 3/4*n**5 + 0*n + 0 = 0.
-1, 0, 1
Suppose 3*x = 2*v + 7, 4*x + v = -4 + 17. Let l be 5*(-1)/(10/(-8)). Factor -4 + l + 2*d**2 + 8*d**5 - 8*d**4 - 6*d**4 + 4*d**x.
2*d**2*(d - 1)**2*(4*d + 1)
Let p = 16 + -16. Let r(g) be the second derivative of g + 0 - 1/18*g**4 + 2/45*g**6 + 0*g**2 - 1/30*g**5 + p*g**3. Factor r(c).
2*c**2*(c - 1)*(2*c + 1)/3
Factor -8/5 - 8/5*n - 2/5*n**2.
-2*(n + 2)**2/5
Let w be 12/8*1*2. Factor 5*i**5 - 7*i**5 - i**2 + 2*i**w + 2*i**4 - i**2.
-2*i**2*(i - 1)**2*(i + 1)
Let g be (46*7/(-49))/(-1). Factor -g*z**3 + 54/7*z**2 + 2*z**4 - 26/7*z + 4/7.
2*(z - 1)**3*(7*z - 2)/7
Let f(r) = 20*r**3 + 4*r**2 + 18*r + 6. Let z(i) = -7*i**3 - i**2 - 6*i - 2. Let v(c) = -5*f(c) - 14*z(c). Factor v(b).
-2*(b + 1)**3
Let d(f) be the third derivative of f**5/60 + 2*f**2. Let j be d(0). Factor 5*n - 2 - 7*n**2 + j*n**3 + n**3 + 3*n**2.
(n - 2)*(n - 1)**2
Suppose -3*l + u + 9 = 4*u, -5*u = 4*l - 13. Find v such that -v - 13*v**2 + 15*v**l + v = 0.
0
Suppose -5*j = -3*u + 8 + 1, 2*j = 0. Let y(t) be the first derivative of -2 + 3/4*t**4 + 0*t - 1/4*t**5 + 0*t**2 - 1/3*t**u. Factor y(l).
-l**2*(l - 2)*(5*l - 2)/4
Determine z, given that 27/7*z**2 + 3*z + 6/7 + 15/7*z**3 + 3/7*z**4 = 0.
-2, -1
Let f(a) = -a**3 - 2*a**2 - a + 2. Let c be f(-2). Factor -5*n**2 - 14*n**4 - 8*n**3 + 3*n**2 - n**5 + c*n**4 - 3*n**5.
-2*n**2*(n + 1)**2*(2*n + 1)
Factor -5*k - 5*k**2 - 4*k - k**3 - k**2.
-k*(k + 3)**2
Let m = -28 + 41. Suppose 17*g**3 - m*g**3 + 14*g**5 - 29*g**4 + 7*g**5 + 4*g**2 = 0. What is g?
-2/7, 0, 2/3, 1
Let g(m) be the third derivative of m**6/8 + 7*m**5/30 - m**4/8 - m**3/3 + 7*m**2. Factor g(t).
(t + 1)*(3*t + 1)*(5*t - 2)
Let h(s) = -s - 8. Let m be h(-5). Let t(z) = -23*z**3 - 41*z**2 - 3*z + 5. Let j(g) = -11*g**3 - 21*g**2 - g + 3. Let n(a) = m*t(a) + 5*j(a). Factor n(x).
2*x*(x + 1)*(7*x + 2)
Let f be (-8)/1*2/(-7 - -3). Let l(o) be the second derivative of -1/15*o**6 - o - 1/5*o**5 - f*o**2 + 1/2*o**4 + 4/3*o**3 + 0. Find v such that l(v) = 0.
-2, 1
Let t(c) = c. Let b be t(4). Let j(f) be the second derivative of 0 - 9/20*f**6 - 3/8*f**b + 0*f**2 - 27/40*f**5 + 3*f - 1/12*f**3. Factor j(v).
-v*(3*v + 1)**3/2
Let a(v) be the first derivative of -81*v**5/10 - 18*v**4 + 35*v**3/6 - v**2/2 + 21. Factor a(w).
-w*(w + 2)*(9*w - 1)**2/2
Let g be 1*106*3/18. Let m = g - 17. Solve m*w**2 - 4/3 - 2/3*w = 0.
-1, 2
Factor -5*f - 1/3*f**3 + 3 + 7/3*f**2.
-(f - 3)**2*(f - 1)/3
Let h(c) be the second derivative of -c**6/50 + 3*c**5/25 - 3*c**4/10 + 2*c**3/5 - 3*c**2/10 + 7*c. Suppose h(l) = 0. Calculate l.
1
Suppose -16 + 3*i**3 + 4*i - i**3 + 28*i**2 - 6*i**3 - 12 = 0. Calculate i.
-1, 1, 7
Let -4/3 - 25/6*n**3 - 5*n**2 + 6*n = 0. What is n?
-2, 2/5
Let f(y) = -y**5 + y**4 + 4*y**3 - 4*y**2 + 3*y. Let h(r) = -4*r**3 + 4*r**2 - 4*r. Let p(a) = 4*f(a) + 3*h(a). Factor p(x).
-4*x**2*(x - 1)**2*(x + 1)
Suppose -5*h = -25, -4*t + 9*t = 3*h + 5. What is l in -l**2 - l**3 - l**3 + 2*l**2 + l**t + 0*l**2 = 0?
0, 1
Suppose 0 = -5*u - 4*y - 199, 2*y + 3*y = 3*u + 149. Let h = u - -217/5. Find x such that -2/5 + 2/5*x**2 + h*x - 2/5*x**3 = 0.
-1, 1
Let l = -5 - -11. Suppose -3*r**2 + 3*r**2 - 3*r**2 - l*r - 3 = 0. What is r?
-1
Let o(z) be the first derivative of -z**6/10 + 3*z**4/10 - 3*z**2/10 - 3. Let o(u) = 0. Calculate u.
-1, 0, 1
Let d(q) be the third derivative of q**9/60480 - q**4/24 - 3*q**2. Let o(u) be the second derivative of d(u). Solve o(j) = 0.
0
Let s = -2 - -6. Suppose -3*n = s*y - 31, -n = y - 8 - 1. Suppose 0*b - 2/5*b**2 - 6/5*b**3 - 2/5*b**5 + 0 - 6/5*b**y = 0. What is b?
-1, 0
Let s(d) be the third derivative of -d**8/6720 - d**7/840 - d**5/30 + 7*d**2. Let o(r) be the third derivative of s(r). Factor o(b).
-3*b*(b + 2)
Let r(b) = b**2 - 10*b + 4. Let d be r(11). Factor 4*k**3 + d*k + 7*k - 11*k**2 + 2 - 17*k.
(k - 2)*(k - 1)*(4*k + 1)
Let f(k) be the third derivative of -k**6/540 - k**5/270 - 11*k**2. What is m in f(m) = 0?
-1, 0
Suppose -4*p - 2 = 3*r, r = -4*p + 3*p. Determine t so that t**r + t**2 + 3*t**2 - 2*t**2 = 0.
0
Let m be (-15)/2*18/(-27). Let f(g) be the third derivative of 0*g + 0*g**3 + 1/24*g**4 + 0 - 2*g**2 + 1/60*g**m. Factor f(r).
r*(r + 1)
Let m = 3/52 + 23/52. Let -m*h**3 + 1/2*h**2 + 0 + 1/2*h**5 - 1/2*h**4 + 0*h = 0. What is h?
-1, 0, 1
Let a(p) = 13*p**3 + 15 - 5*p - 6*p**3 - 15*p**2 + 5*p**3. Let r(f) = 6*f**3 - 8*f**2 - 2*f + 8. Let h(l) = 4*a(l) - 7*r(l). Find v such that h(v) = 0.
-1, 2/3, 1
Factor 0*t**3 + 0 + 0*t**2 + 1/2*t**4 + 0*t - 1/2*t**5.
-t**4*(t - 1)/2
Let w be (((-55)/(-11))/10)/((-6)/(-16)). Solve -4/3*s - 1/3*s**2 - w = 0.
-2
Let n(h) = -h**3 + h**2. Let b(m) = 5 - 3 + 3*m**3 - 4*m**2 + 0*m**3 - m + 4*m. Let x(l) = b(l) + 4*n(l). Factor x(a).
-(a - 2)*(a + 1)**2
Let p(a) be the first derivative of -2*a**3/21 + 8*a**2/7 - 2*a - 13. Let p(q) = 0. Calculate q.
1, 7
Let k(r) = 3*r**2 + 2*r + 1. Let z be k(-1). Suppose -z*c + 9 = -1. Suppose -26*n**4 - 2*n**2 - 6*n**5 + 6*n - 18*n**3 + c*n**4 + 5*n**2 = 0. What is n?
-2, -1, 0, 1/2
Suppose -5*q = -3*p - 7, -7 = -5*q + 4*p - 1. Let y be 14/30 - q/(-10). Factor y*t + 1/3 + 1/3*t**2.
(t + 1)**2/3
Let n = 168 + -166. Find z such that -1/4*z**n + 0 - 1/2*z = 0.
-2, 0
Let s(t) = t**2 - t + 1. Let u(c) = -9*c**2 - 13*c - 57. Let h(z) = 14*s(z) + 2*u(z). Factor h(b).
-4*(b + 5)**2
Let w(z) = z**2 - z + 1. Let g(u) = -u**3 - 4*u**2 - 10*u + 2. Let v(a) = -3*g(a) + 6*w(a). Factor v(k).
3*k*(k + 2)*(k + 4)
Let b(d) be the second derivative of d**6/36 + d**5/180 - d**4/18 - d**3/2 - 2*d. Let a(u) be the second derivative of b(u). Suppose a(z) = 0. What is z?
-2/5, 1/3
Suppose -3*d + 5*d = 0. Factor d*o**2 - 4*o**3 + 2*o - 4*o**2 + 3*o**3 + 3*o**3.
2*o*(o - 1)**2
Let s(z) be the third derivative of z**9/60480 - z**7/1680 + z**6/360 + z**5/60 - 5*z**2. Let o(h) be the third derivative of s(h). Factor o(u).
(u - 1)**2*(u + 2)
Find o, given that -8/7*o**3 - 6/7*o - 24/7*o**4 - 4/7 + 2*o**5 + 4*o**2 = 0.
-1, -2/7, 1
Let w(s) = -s**2 - 20*s + 96. Let i be w(-24). Solve i + 8/3*n - 4/3*n**2 = 0.
0, 2
Let g(p) = 14*p**2 + 7*p - 7. Let i(y) = 14*y**2 + 8*y - 6. Let m(x) = -2*g(x) + 3*i(x). Factor m(z).
2*(z + 1)*(7*z - 2)
Let c(d) = d**3 - 8*d**2 + 5*d + 9. Let a be c(7). Let t = 9 + a. Let 0*u + 0*u - u**t - 3*u**3 - 3*u**2 - u = 0. Calculate u.
-1, 0
Let n(k) be the third derivative of -k**9/30240 + k**8/10080 + k**7/2520 - k**6/360 + k**5/15 + 3*k**2. Let r(t) be the third derivative of n(t). Factor r(p).
-2*(p - 1)**2*(p + 1)
Let v(i) be the second derivative of 0*i**6 + 1/21*i**7 - 1/10*i**5 + 0*i**4 + 0 + 0*i**3 + 0*i**2 - 2*i. Factor v(f).
2*f**3*(f - 1)*(f + 1)
Let k be 1 - (1 - -2)/(-1). Let v = -14 - -16. Factor -19*f**4 - 8*f + 11*f**k + 19*f + 2 + 18*f**v + 4*f**3.
-(f - 2)*(2*f + 1)**3
Suppose 3*g + 18 = 6. Let h be (-10)/(-2) + (g - -1). Let -2/3*r - 1/3*r**h - 1/3 = 0. What is r?
-1
Let k be (2/6)/((-2)/(-36)). Let q(m) = m**4 + m**3 - m**2 + m. Let g(v) = v**3 + v**2 - 1. Let b(s) = k*g(s) - 3*q(s). Factor b(h).
-3*(h - 2)*(h - 1)*(h + 1)**2
Find k, given that -24 - 68*k - 20*k**4 + 9*k**2 - 24*k**5 - 9*k**2 + 44*k**2 + 151*k**3 - 59*k**3 = 0.
-2, -1, -1/3, 1, 3/2
Let c(o) be the third derivative of o**7/1260 - o**6/180 + o**5/120 + o**4/36 - o**3/9 - 16*o**2. Factor c(v).
(v - 2)**2*(v - 1)*(v + 1)/6
Let w(p) be the third derivative of -p**8/504 + p**6/90 - p**4/36 - 3*p**2. Factor w(j).
-2*j*(j - 1)**2*(j + 1)**2/3
Let t(x) be the second derivative of 0 + 1/4*x**4 - 4*x - 2*x**3 + 6*x**2. Suppose t(r) = 0. Calculate r.
2
Let k(f) be the first derivative of 0*f**2 + 0*f**4 - 2/5*f**5 - 2*f + 4/3*f**3 - 1. Factor k(n).
-2*(n - 1)**2*(n + 1)**2
Let b(v) = 7*v**2 - 3*v. Let s(d) = 4*d**2 - 2*d. Let x(r) = 3*b(r) - 5*s(r). Factor x(p).
p*(p + 1)
Let y(w) be the second deri