5 + 6*y**4 - 14*y**3 + 2*y**2. Let z(x) = i*r(x) + m(x). Factor z(q).
-q**3*(q - 4)**2
Let o(p) = -p**5 + 46*p**4 - 89*p**3 + 40*p**2 - 4*p - 8. Let i(c) = -c**5 + c**4 + c**3 + c + 2. Let x(w) = -4*i(w) - o(w). Factor x(j).
5*j**2*(j - 8)*(j - 1)**2
Let c = 20 + -17. Suppose -7*a = -c*a - 8. Factor 6*f + a*f**2 + 2*f**2 + 7 + 1 - 18*f.
4*(f - 2)*(f - 1)
Let l(g) = -g**2 - 12*g - 20. Let h be l(-10). Suppose 4*r = -3*b + 20, 0 = 2*r - h*r - 2*b + 4. Factor 0 + 0*v**r - 4/13*v**3 + 0*v**4 + 2/13*v + 2/13*v**5.
2*v*(v - 1)**2*(v + 1)**2/13
Let f = -69/11 + 309/44. Determine i, given that 0 - f*i - 1/4*i**2 = 0.
-3, 0
Let w(u) be the second derivative of 0*u**2 - 3*u + 0 - 5/3*u**5 + 14/3*u**4 + 8/45*u**6 - 2*u**3. Factor w(g).
4*g*(g - 3)**2*(4*g - 1)/3
Suppose -2/9*p**2 + 4/9*p + 2/3 = 0. What is p?
-1, 3
Let l = -13855 + 13858. Factor 2/3*f**2 + 1/3*f**l - 2/3 - 1/3*f.
(f - 1)*(f + 1)*(f + 2)/3
Let s(v) = 2*v**3 - 2*v**2 + v - 1. Let d be s(1). Suppose d = 7*n + 3*n - 20. Factor -9/4*c + 15/4*c**n - 3/2.
3*(c - 1)*(5*c + 2)/4
Factor -15 + m**3 - 21*m - 52*m - m**2 + 56*m.
(m - 5)*(m + 1)*(m + 3)
Suppose 6*o - 12 = 2*o. Let b be (-3)/((-27)/18) - -1. Determine y so that 22*y**o - 5 - 34*y**2 - 54*y**2 - 38*y**b - 41*y = 0.
-5, -1/4
Let o be 12/(-3 + 5)*(-7)/(-21). Let r(i) = i**2 - i**3 + 3*i + 3*i**2 - 6*i**2. Let w(p) = -p**2 + 1. Let l(n) = o*w(n) - r(n). Solve l(y) = 0.
-2, 1
Find g, given that -8/3*g + 4/3*g**4 + 4/3*g**3 - 28/9*g**2 - 4/9*g**5 + 0 = 0.
-1, 0, 2, 3
Let v(c) be the third derivative of -c**7/1680 + c**6/160 - c**5/40 - c**4 + 12*c**2. Let r(y) be the second derivative of v(y). Let r(h) = 0. Calculate h.
1, 2
Let b(u) = 3*u**3 - 29*u**2 + 18*u + 54. Let r(a) = -a**2 + 3. Let c(v) = b(v) - 2*r(v). Factor c(q).
3*(q - 8)*(q - 2)*(q + 1)
Let y be 3234/104 + 8/52. Let t(i) be the first derivative of -8*i - 2 - 50*i**3 - 30*i**2 - y*i**4. Factor t(q).
-(5*q + 2)**3
Factor 1/3*t**2 - 25/3*t + 0.
t*(t - 25)/3
Let y(c) be the first derivative of 2*c**6/3 - 4*c**5 - 125*c**4 + 2660*c**3/3 + 7840*c**2 - 87808*c - 307. Factor y(t).
4*(t - 7)**3*(t + 8)**2
Factor -30*j**3 - 117 - 4*j**4 + 11*j**2 + 20*j + 30*j**2 + 9*j**4 + 4*j**2 + 57.
5*(j - 3)*(j - 2)**2*(j + 1)
Determine q, given that 0 - 2/5*q**3 + 6/5*q + 1/5*q**4 - q**2 = 0.
-2, 0, 1, 3
Let x(p) be the first derivative of -p**4/38 - 2*p**3/57 + 21*p**2/19 + 90*p/19 - 102. Factor x(g).
-2*(g - 5)*(g + 3)**2/19
Let g be 6 - (33 + 261/(-9)). Suppose 4*s + 18 = 7*s. Factor -s*k - 12 - 3/4*k**g.
-3*(k + 4)**2/4
Let w be 2*((-2 - 0) + 1). Let v = 10 - w. Factor -5*b**5 + 2*b - 18*b**4 + 4 - v*b**2 - 2 + 4*b**2 + b - 22*b**3.
-(b + 1)**4*(5*b - 2)
Let s(o) be the third derivative of 0*o**3 - 1/12*o**4 + 13*o**2 + 0 - 1/60*o**6 + 0*o + 1/15*o**5. Factor s(u).
-2*u*(u - 1)**2
Factor -15/11 + 1/11*t**2 - 2/11*t.
(t - 5)*(t + 3)/11
Let b = 13245/7 + -1863. Let m = b + -201/7. Factor -m - 27/7*h**2 - 18/7*h.
-3*(3*h + 1)**2/7
Let g(m) be the second derivative of m**4/36 - 2*m**2/3 - m + 91. Let g(q) = 0. Calculate q.
-2, 2
Let l(a) = -9*a**2 + 13*a - 30. Let i(k) = -2*k**2 + k - 2. Let u(t) = 15*i(t) - 3*l(t). Factor u(b).
-3*(b - 2)*(b + 10)
Let h be -4 - (-25)/(200/48). Factor 0 - 2/15*b**h - 4/15*b.
-2*b*(b + 2)/15
Let i(j) be the third derivative of -j**7/1575 + j**6/50 - 13*j**5/50 + 9*j**4/5 - 36*j**3/5 - 72*j**2. Suppose i(b) = 0. What is b?
3, 6
Let y(f) be the second derivative of -3*f**5/40 + 7*f**4/4 + 5*f**3 - 450*f**2 + 2*f + 120. Factor y(j).
-3*(j - 10)**2*(j + 6)/2
Let y(z) = -8*z**3 - 23*z**2 + 25*z. Suppose -2*l = -l - 4*b - 15, -b = -l + 6. Let f(r) = -23*r**3 - 68*r**2 + 75*r. Let x(w) = l*f(w) - 8*y(w). Factor x(u).
-5*u*(u - 1)*(u + 5)
Let f be 15/40*(-4)/(-108)*(-156)/(-13). Factor 1/2*o**3 - 1/2*o**2 - 1/6*o**4 + 0 + f*o.
-o*(o - 1)**3/6
Suppose r + 3*g - 21 = -2*r, -5*r + g + 5 = 0. Let c(z) be the first derivative of -z - 2 - 1/3*z**3 - z**r. Factor c(k).
-(k + 1)**2
Let x(i) be the third derivative of i**6/120 + i**5/12 - 7*i**4/12 - 6*i**2 - 2. Factor x(q).
q*(q - 2)*(q + 7)
Suppose 2*f = f + 7. Let s be f + -9 - (58/(-10) + 2). Factor 3/5*x**4 - 3/5*x + 0 - 9/5*x**3 + s*x**2.
3*x*(x - 1)**3/5
Factor 7*i**5 - 14040*i**3 - 7*i**5 - 172*i**4 - 5*i**5 + 13520*i**2 + 697*i**4.
-5*i**2*(i - 52)**2*(i - 1)
Let x be 1099/1413*2/7. Find d, given that 0 - x*d + 2/9*d**2 = 0.
0, 1
Suppose 5*u - 35 = -4*x + 39, 0 = x + 3*u - 15. Let w(s) = 2*s - 38. Let r be w(x). Determine a, given that -2/3*a**3 - 2/9*a + 0 + 2/3*a**2 + 2/9*a**r = 0.
0, 1
Let v(u) be the third derivative of u**7/540 - u**6/810 - 13*u**3/6 - 11*u**2. Let g(i) be the first derivative of v(i). Factor g(m).
2*m**2*(7*m - 2)/9
Let d(z) = z**3 - 11*z**2 + z. Let q be d(11). Determine m, given that -4*m**2 + 0*m - q*m - m**2 + m = 0.
-2, 0
Let k(x) = x**3 - 39*x**2 + 36*x + 79. Let m be k(38). Let u(w) be the first derivative of -3 + 9*w - m*w**2 + 1/3*w**3. Factor u(f).
(f - 3)**2
Let a(u) be the third derivative of -u**8/10080 + u**7/1260 + u**6/120 + 11*u**5/60 + 8*u**2. Let y(v) be the third derivative of a(v). Factor y(p).
-2*(p - 3)*(p + 1)
Let i(t) = t**2 - 6*t + 10. Let k be i(4). Factor -8*s**2 + 4*s**3 + 5*s + 8 + k*s - 11*s.
4*(s - 2)*(s - 1)*(s + 1)
Let o(l) be the first derivative of -4*l**3/3 - 88*l**2 - 1936*l + 138. Factor o(i).
-4*(i + 22)**2
Let h(n) be the first derivative of 1 + 1/30*n**5 + 0*n**3 + 5/2*n**2 + 1/120*n**6 + 1/24*n**4 + 0*n. Let f(u) be the second derivative of h(u). Solve f(q) = 0.
-1, 0
Let t(x) = -x**2 - 5*x + 7. Let p be t(-6). Let m be (4 + -3)*3/p. Determine b, given that -5 + 3 + 2 + 3*b**m = 0.
0
Factor -32/5 + 2/5*d**5 - 126/5*d - 24/5*d**4 - 116/5*d**3 - 184/5*d**2.
2*(d - 16)*(d + 1)**4/5
Suppose -3 = 3*n + m, -n - 2*m - 6 = -2*n. Factor b + 33*b**2 + 2*b + n*b - 9 + 21*b**3.
3*(b + 1)**2*(7*b - 3)
Let s(g) be the third derivative of g**5/540 - 17*g**4/216 + 35*g**3/27 + 381*g**2. Determine d so that s(d) = 0.
7, 10
Let c(t) = 17*t - 6. Let b be c(2). Let f(p) = -6*p**2 - 9*p - 3. Let s(l) = l**2 + l. Let w(m) = b*s(m) + 4*f(m). Factor w(a).
4*(a - 3)*(a + 1)
Suppose 2*j = -4*w + 18, -8*w + 10*w - 4 = 0. Suppose 3*q = 5 - j. Suppose 1/2 + q*l - 1/2*l**2 = 0. Calculate l.
-1, 1
Let s(u) be the first derivative of u**5/2 + 17*u**4/6 + 16*u**3/3 + 4*u**2 - 10*u - 4. Let h(f) be the first derivative of s(f). Let h(k) = 0. What is k?
-2, -1, -2/5
Let r(s) = 11*s + 8. Let q be r(-2). Let h(i) = -4*i**2 - 19*i - 1. Let y(v) = -2*v**2 - 9*v - 1. Let b(n) = q*y(n) + 6*h(n). Factor b(k).
4*(k + 1)*(k + 2)
Let f(k) be the third derivative of -1/84*k**4 + 1/21*k**3 + 0*k + 1/210*k**6 - 5*k**2 - 1/105*k**5 + 1/735*k**7 + 0 - 1/1176*k**8. Factor f(m).
-2*(m - 1)**3*(m + 1)**2/7
What is c in 0*c**3 + 9*c**4 + 9*c**3 + 6*c**2 + c**3 + 5*c**3 = 0?
-1, -2/3, 0
Factor -168/19*m**2 - 4/19 - 50/19*m - 72/19*m**3.
-2*(m + 2)*(6*m + 1)**2/19
Let c(q) be the second derivative of -q**7/16380 - q**6/2340 - q**5/780 - q**4/12 - 11*q. Let w(y) be the third derivative of c(y). Find v such that w(v) = 0.
-1
Suppose 2*a + 15 = 295. Solve -138*r**2 - 8 + 5*r**4 - 32*r**4 + a*r**3 + 56*r + 9*r**4 - 32*r**4 = 0.
2/5, 1
Let t = 4 - 2. Let g = 7135/14 - 3564/7. Factor -g*v**3 - 5/2*v**2 - 4*v - t.
-(v + 1)*(v + 2)**2/2
Suppose 0 = -2*f + 6*f - 52. Suppose -18*r = -f*r - 20. Find p, given that -2/3*p**5 + 0 + 2/3*p - 4/3*p**2 + 4/3*p**r + 0*p**3 = 0.
-1, 0, 1
Suppose p + 4 = 2*g + 2*p, 0 = -2*p. Let z(i) = 3*i**2 - 6*i - 1. Let o be z(5). Determine w, given that 14*w**3 - 16 + 2*w**3 + 50 - 22 + 32*w**g - o*w = 0.
-3, 1/2
Let s(w) be the third derivative of w**7/210 + w**6/8 + 23*w**5/20 + 65*w**4/24 - 25*w**3 + w**2 + 10*w. Factor s(i).
(i - 1)*(i + 5)**2*(i + 6)
Factor 16*b - 2/9*b**2 + 296/9.
-2*(b - 74)*(b + 2)/9
Let t(u) be the second derivative of -u**2 + 6*u + 19/6*u**3 - 8/15*u**6 - 19/4*u**4 + 14/5*u**5 + 0. Factor t(a).
-(a - 2)*(a - 1)*(4*a - 1)**2
Let a(t) be the third derivative of 13/30*t**6 + 4/35*t**7 + 0 + 2/3*t**4 + 0*t + 0*t**3 + 1/84*t**8 + 20*t**2 + 4/5*t**5. Factor a(q).
4*q*(q + 1)**2*(q + 2)**2
Let s be (-1 + 8)*18/63. Suppose u + 4*u**2 - 5*u**s + 4*u - 2*u = 0. What is u?
0, 3
Let r(x) be the first derivative of 5*x**8/336 - x**6/24 + 15*x**2/2 - 20. Let f(o) be the second d