*2 + 5/784*l**8 - 11/245*l**7. Factor x(y).
3*(y - 1)**4*(5*y - 2)/7
Let d(k) be the first derivative of 2*k**3/63 - 2*k/21 - 13. Find v, given that d(v) = 0.
-1, 1
Let r(u) = u**5 - u**4 - u**3 - u**2 - u + 1. Let f(n) = -12*n**5 - 2*n**4 + 12*n**3 + 6*n**2 + 2*n - 2. Let j(k) = f(k) + 2*r(k). Determine y so that j(y) = 0.
-1, -2/5, 0, 1
Let o(r) = 35*r**5 - 42*r**4 + 7*r**3 - 3*r**2 - 3. Let x(n) = 35*n**5 - 41*n**4 + 6*n**3 - 4*n**2 - 4. Let w(y) = -4*o(y) + 3*x(y). Factor w(u).
-5*u**3*(u - 1)*(7*u - 2)
Let h(q) = 28*q**5 - 232*q**4 + 736*q**3 - 1080*q**2 + 704*q - 128. Let f(v) = v**2. Let i(c) = 8*f(c) - h(c). Find u, given that i(u) = 0.
2/7, 2
Let s(z) = z**2 - 7*z - 5. Let w be s(8). Factor -3*r - 7 - 7*r**2 + r**2 + 7 + 9*r**w.
3*r*(r - 1)*(3*r + 1)
Suppose -28 = 24*i - 124. Factor -3/5*z**i - 12/5*z - 12/5*z**3 - 3/5 - 18/5*z**2.
-3*(z + 1)**4/5
Suppose -9*d + 18 = -6*d. Suppose 2*i = d*i. Factor 2/7*f**4 + i + 2/7*f**5 - 2/7*f**2 - 2/7*f**3 + 0*f.
2*f**2*(f - 1)*(f + 1)**2/7
Let k = 13 + -9. Let o = -2242/5 + 450. Factor 10*n**k + 138/5*n**2 + o - 28*n**3 - 56/5*n.
2*(n - 1)**2*(5*n - 2)**2/5
Let c be (-2)/6*18/(-33). Factor -c*b + 0 - 2/11*b**2.
-2*b*(b + 1)/11
Suppose 6/11*v - 4/11*v**2 + 0 - 2/11*v**3 = 0. What is v?
-3, 0, 1
Determine v so that 12/5*v + 12/5 - 3/5*v**2 - 3/5*v**3 = 0.
-2, -1, 2
Let p(b) be the first derivative of -b**5/20 + b**4/8 - b**2/4 + b/4 + 7. Find r, given that p(r) = 0.
-1, 1
Let y(u) = u**3 - 9*u**2 - 5. Let n(j) = 2*j**3 - 22*j**2 - 12. Suppose 0 = -5*q + 20 + 5. Let p(t) = q*n(t) - 12*y(t). Factor p(h).
-2*h**2*(h + 1)
Factor 3 + 18*b - 729/4*b**3 - 81/4*b**2.
-3*(3*b - 1)*(9*b + 2)**2/4
Let d(j) be the second derivative of 2*j**5/35 + 41*j**4/42 + 110*j**3/21 + 25*j**2/7 + 28*j. Determine s so that d(s) = 0.
-5, -1/4
Suppose 5*u - 4 = -4*x, -2*u + 0*u - 5 = -5*x. Suppose -4*n - 5*v - 17 = u, 0*n + 2*v = n - 12. What is t in n - 8*t - 3*t**3 + 19/2*t**2 = 0?
1/2, 2/3, 2
Suppose -5*o = -3*v + 6, o + 0 = v - 2. Factor 8*i + 3*i**2 - 6*i**v + 5*i**2 + 8.
2*(i + 2)**2
Let m = 134/3 + -44. Factor 1/3*x - m + 1/3*x**2.
(x - 1)*(x + 2)/3
Suppose r - 6 = 2*r - 2*o, -5*r - 6 = -2*o. Let q(u) be the second derivative of 1/120*u**6 + 0 - 1/40*u**5 + 1/48*u**4 + r*u**3 + 0*u**2 - 2*u. Factor q(c).
c**2*(c - 1)**2/4
Let b(p) be the first derivative of 2*p**5/5 + 11*p**4/5 + 22*p**3/5 + 4*p**2 + 8*p/5 + 30. Solve b(r) = 0 for r.
-2, -1, -2/5
Let b(z) = 5*z**5 + 9*z**4 + 4*z**3 + 6*z**2 - 6. Let y(w) = w**5 + w**4 + w**3 + w**2 - 1. Let u(m) = -b(m) + 6*y(m). Let u(j) = 0. Calculate j.
0, 1, 2
Let k(b) be the second derivative of -b**7/105 + b**5/15 - b**3/3 - b**2 + 3*b. Let l(s) be the first derivative of k(s). Let l(d) = 0. What is d?
-1, 1
Let q(i) be the third derivative of i**8/10080 + i**7/2520 - i**5/30 + 2*i**2. Let u(j) be the third derivative of q(j). Let u(z) = 0. Calculate z.
-1, 0
Suppose 4*a + 4 = 4*h, -4*h + 16 - 3 = -a. Suppose f + a + 2 = v, -5*f - 5 = 0. Factor -5*o**2 + 4*o**2 + o**3 - v + 4*o**2.
(o - 1)*(o + 2)**2
Factor 2 - 4 + 4*l + l**2 - 3*l**2.
-2*(l - 1)**2
Let -21/4*w - 3/2*w**2 + 3/4*w**3 - 3 = 0. Calculate w.
-1, 4
Factor -r + 3/4*r**3 + 0 + 1/4*r**4 + 0*r**2.
r*(r - 1)*(r + 2)**2/4
Factor 5/6*v**3 + 1/6*v**4 - 4/3 + v**2 - 2/3*v.
(v - 1)*(v + 2)**3/6
Let i(f) be the third derivative of f**6/8 - f**5/12 - 5*f**4/12 + 7*f**2. Factor i(p).
5*p*(p - 1)*(3*p + 2)
Determine b so that 1/4*b**2 + 0*b - 1 = 0.
-2, 2
Factor 1 + 9/2*g**2 - 7/2*g - 5/2*g**3 + 1/2*g**4.
(g - 2)*(g - 1)**3/2
Let n be 18/8 - (-1)/(-4). What is m in 1 - m**2 + n*m + 0*m**2 + 2*m**2 = 0?
-1
Let v(j) be the third derivative of -j**8/1512 + 11*j**7/945 - 43*j**6/540 + 73*j**5/270 - 14*j**4/27 + 16*j**3/27 + 6*j**2. Factor v(i).
-2*(i - 4)**2*(i - 1)**3/9
Let n(x) = 3*x - 1. Let w be n(2). Suppose 5*j - 5 = -w*z, -5*z + j = 5 - 16. Solve 26*q**z - 8*q**5 + 46*q**4 - 54*q**3 - 2*q - 6*q**5 - 2*q = 0.
0, 2/7, 1
Factor 1/3*b**3 - 1/6*b**4 + 0 + 0*b + 0*b**2 - 1/6*b**5.
-b**3*(b - 1)*(b + 2)/6
Let n(t) be the third derivative of -t**8/168 - 8*t**7/105 - 5*t**6/12 - 19*t**5/15 - 7*t**4/3 - 8*t**3/3 + 5*t**2. Factor n(c).
-2*(c + 1)**2*(c + 2)**3
Let g(z) be the first derivative of -z**5/25 - z**4/10 + 12. Suppose g(x) = 0. What is x?
-2, 0
Let g(q) be the third derivative of q**8/3192 - q**7/665 + q**6/1140 + q**5/190 - q**4/114 - 8*q**2. Suppose g(y) = 0. Calculate y.
-1, 0, 1, 2
Let h be ((-8)/(-6) + -1)/(2/4). Factor b**2 + 0 + h*b.
b*(3*b + 2)/3
Let g(o) be the third derivative of -o**6/900 - o**5/300 - o**3/6 + 2*o**2. Let z(w) be the first derivative of g(w). Factor z(u).
-2*u*(u + 1)/5
Let c(t) be the third derivative of t**8/168 + t**7/35 + t**6/20 + t**5/30 + 6*t**2. Solve c(g) = 0.
-1, 0
Let n(t) = t**3 - 8*t**2 - 9*t + 5. Let x be n(9). Find o, given that x*o + 3 + 31*o**2 - 28*o**2 + o = 0.
-1
Suppose -2*j + 1 + 9 = -2*c, 8 = -4*c. Factor 3*z**2 + j*z + 3*z**3 - 5*z**2 - 2*z - 2*z**3.
z*(z - 1)**2
Let o(w) be the third derivative of -7*w**6/720 - 2*w**5/45 + 17*w**4/144 + w**3/6 - 7*w**2. Factor o(c).
-(c - 1)*(c + 3)*(7*c + 2)/6
Let z(l) = -3*l**2 + l + 4*l**2 + 20 - 19. Let h(f) = f**3 + f**2 + 2*f + 2. Let a(y) = 3*h(y) - 6*z(y). Factor a(x).
3*x**2*(x - 1)
Suppose 2*u - k = 7*u - 22, 0 = -3*u + k + 10. Find j such that 0*j + 1/4*j**5 + j**2 + 2*j**3 + 0 + 5/4*j**u = 0.
-2, -1, 0
Let c = -2 - -5. Let x(o) be the first derivative of -2 + 1/6*o**c + 0*o**2 + 0*o - 1/8*o**4. Factor x(k).
-k**2*(k - 1)/2
Let v = -821 - -4126/5. Suppose 2*q + 0*q = t + 6, -5*t + 2*q = -2. Factor -12/5 + v*h**t - 9/5*h**3 + 0*h.
-3*(h - 2)*(h - 1)*(3*h + 2)/5
Suppose -2*i - 4*x = -14, 4*i + 2*x + 3*x = 22. Let r(y) be the first derivative of -16/9*y - 1/18*y**4 - 4/9*y**i - 4/3*y**2 - 2. Factor r(g).
-2*(g + 2)**3/9
Let x = 2018/9 + -9737/36. Let i = -46 - x. Solve 1/2*t - i*t**4 + 1/4*t**2 - 1/2*t**3 + 0 = 0 for t.
-2, -1, 0, 1
Let a(n) be the first derivative of 2*n**3/3 - n**2 + 7. Factor a(x).
2*x*(x - 1)
Factor -1/4*x**3 - 5/4*x - x**2 - 1/2.
-(x + 1)**2*(x + 2)/4
Let d = 63 + -60. What is o in 0*o**2 + 0*o - 1/2*o**5 + 0*o**4 + 1/2*o**d + 0 = 0?
-1, 0, 1
Let l = 692 + -689. Find m, given that 0*m**l + 0*m - 1/2*m**2 + 1/4 + 1/4*m**4 = 0.
-1, 1
Let o(w) = -13*w**2 + 0*w**2 + 2*w**2 - 5*w - 5 - 11*w**3. Let c(i) = -4*i**3 - 4*i**2 - 2*i - 2. Let h(x) = -8*c(x) + 3*o(x). What is a in h(a) = 0?
-1, 1
Suppose 0 = -4*i + 4. Let a(o) be the first derivative of -i - 1/2*o - 1/12*o**3 + 3/8*o**2. Factor a(r).
-(r - 2)*(r - 1)/4
Let j(i) be the first derivative of 2*i**3/51 - i**2/17 + 1. Factor j(r).
2*r*(r - 1)/17
Let k be (-6)/24*14/(-21). Factor -j - 3/2 - k*j**2.
-(j + 3)**2/6
What is m in m + 3/5*m**2 + 2/5 = 0?
-1, -2/3
Factor -1/5*r**4 - 2/5*r - 4/5*r**3 + 0 - r**2.
-r*(r + 1)**2*(r + 2)/5
Let z(g) be the first derivative of g**4/8 - g**3/3 - g**2/4 + g - 15. Determine k so that z(k) = 0.
-1, 1, 2
Let u = 11 + -9. Let p(w) = -4*w**3 - 2. Let i(t) = t**3 + t**2 + 1. Let x(z) = u*i(z) + p(z). Factor x(m).
-2*m**2*(m - 1)
Let z(k) = -2*k - 4*k**2 + 3*k + 5*k**2. Let l be z(0). Let l*g - 2/5*g**4 + 0 + 0*g**2 - 2/5*g**3 = 0. What is g?
-1, 0
Suppose 5*u = -3*n - 0*u, 0 = -3*n - 3*u. Let j be 16/6 + -2 + n. Factor -2/3 - j*m + 2/3*m**2 + 2/3*m**3.
2*(m - 1)*(m + 1)**2/3
Let d be (-351)/(-990) - (-2)/(-5). Let h = d - -6/11. Find x such that 0*x**2 + 0 + 0*x + 7/4*x**5 + h*x**3 - 9/4*x**4 = 0.
0, 2/7, 1
Solve -3 + 3 - 4*n**3 + n**4 + 9*n**4 = 0.
0, 2/5
Let v be (-32)/(-24)*(-2)/28*-39. Find t such that 24/7*t**4 - 8/7*t**5 + 12/7*t**2 - v*t**3 + 0 - 2/7*t = 0.
0, 1/2, 1
Let -14*m - 21*m**2 + 7*m - 5 - 15*m**3 + 10*m + 14 = 0. What is m?
-1, 3/5
Let x(a) be the third derivative of -a**8/4320 - a**7/630 + a**6/270 + a**5/20 - 3*a**2. Let m(r) be the third derivative of x(r). Find p, given that m(p) = 0.
-2, 2/7
Suppose 5*f = 10, 4*f - 4 = 3*c - f. Factor 9*p**4 - 13*p**4 + 4*p**c - 2 + 2*p**4.
-2*(p - 1)**2*(p + 1)**2
Suppose k = 4*h + 25, h + 3 = -3*k - 13. Let r(j) = j**2 + 6*j - 5. Let m be r(h). Determine g, given that -2*g**3 - 2*g**3 + 3*g**m + 3*g**3 - g**2 = 0.
0, 2
Let v(p) be the third derivative of -5*p**6/2 + 3*p**5 - 9*p**4/8 - 15*p**2. Determine r so that v(r) = 0.
0, 3/10
Let w = 77 - 73. Let 0*n + 1/4*n**w + 1/2*n*