w) = w**3 - 7*w**2 - 66*w + 435. Let b be f(6). Factor 56/11*s + 108/11*s**2 + 10/11*s**4 - 16/11 + 58/11*s**b.
2*(s + 2)**3*(5*s - 1)/11
Let x(s) be the second derivative of 0*s**2 - 2/15*s**5 + 0*s**3 + 0*s**4 - 2/9*s**6 - 11*s + 0. What is c in x(c) = 0?
-2/5, 0
Factor 50/7*h**2 - 16*h**3 + 4/7*h + 58/7*h**4 + 0.
2*h*(h - 1)**2*(29*h + 2)/7
Let q(u) = -u**3 - 3*u**2 - 14*u - 12. Let k be q(-4). Let j = 121/2 - k. Factor j*i**4 + i**3 + 0 - 1/2*i**2 - i.
i*(i - 1)*(i + 1)*(i + 2)/2
Let a(j) be the second derivative of -1/18*j**3 - 1/36*j**4 + 0 + 10*j + 1/3*j**2. Find p such that a(p) = 0.
-2, 1
Let y(f) be the second derivative of f**6/30 + f**5/10 - f**4/4 - 2*f**3/3 + 2*f**2 + 9*f - 10. Factor y(s).
(s - 1)**2*(s + 2)**2
Let 2*z**3 + 6/5*z + 0 - 2/5*z**4 - 14/5*z**2 = 0. Calculate z.
0, 1, 3
Factor 19*x + 3*x - 2*x + 73 + 8*x + 4*x**2 - 25.
4*(x + 3)*(x + 4)
Let t = -2/11951 + 59767/71706. Determine d so that 25/6*d**4 - 5/2*d - 25/6*d**2 + 0 + t*d**3 + 5/3*d**5 = 0.
-3/2, -1, 0, 1
Let k(a) be the third derivative of -9*a**2 + 0*a - 15/32*a**4 + 1/4*a**3 + 0 + 11/40*a**5. Factor k(d).
3*(2*d - 1)*(11*d - 2)/4
Let r(o) be the first derivative of -150*o**3 - 1875*o + 750*o**2 + 15*o**4 - 3/5*o**5 - 13. Solve r(q) = 0 for q.
5
Suppose -33 = 5*j - 3. Let w be 15*(j + 260/42). Factor -w*f**2 - 6/7*f - 2/7*f**5 + 0 - 24/7*f**3 - 12/7*f**4.
-2*f*(f + 1)**3*(f + 3)/7
Let f = 5 - 3. Let z be (-2 - 1) + (-4)/f. Let k(v) = 2*v**2 - 6*v - 2. Let l(y) = -2*y**2 + 6*y + 1. Let a(d) = z*k(d) - 6*l(d). Solve a(i) = 0 for i.
1, 2
Let f(r) be the first derivative of 5*r**6/24 + 2*r**5 + 15*r**4/2 + 85*r**3/6 + 115*r**2/8 + 15*r/2 + 178. Factor f(u).
5*(u + 1)**3*(u + 2)*(u + 3)/4
Let j be ((-342)/42)/((-305)/(-35) + -9). Suppose -51*k + 6*k**4 + 12 + j*k**3 + 9/2*k**2 = 0. What is k?
-4, -2, 1/4, 1
Let j(c) be the first derivative of -c**6/900 + c**5/450 + c**4/180 - c**3/45 + 17*c**2/2 - 3. Let b(w) be the second derivative of j(w). Factor b(h).
-2*(h - 1)**2*(h + 1)/15
Let r(c) be the first derivative of -3*c**5/5 - 9*c**4/4 - 3*c**3 - 3*c**2/2 - 75. Determine w, given that r(w) = 0.
-1, 0
Let i(d) be the third derivative of d**9/30240 + d**8/5040 + 3*d**5/20 + 21*d**2. Let c(f) be the third derivative of i(f). Factor c(v).
2*v**2*(v + 2)
Let j(u) be the first derivative of -u**5 - 25*u**4 - 60*u**3 - 147. Factor j(f).
-5*f**2*(f + 2)*(f + 18)
Let d(l) be the first derivative of 5/2*l**2 + 1/24*l**3 - 9/160*l**6 - 3/32*l**4 + 4 + 0*l + 9/80*l**5. Let f(i) be the second derivative of d(i). Factor f(o).
-(3*o - 1)**3/4
Find w such that -1109 + 4*w**2 + 18*w - 14*w + 568 + 28*w + 601 = 0.
-5, -3
Suppose 0 = -72*c + 100*c. Factor -8/3*q**2 - 8/3*q**3 + 0 - 2/3*q**4 + c*q.
-2*q**2*(q + 2)**2/3
Factor 215*n**3 - 49*n**4 + 316*n**2 + 44*n**2 - 107*n - 73*n + 74*n**4.
5*n*(n + 3)*(n + 6)*(5*n - 2)
Let w = 54091/90 - 601. Let f(z) be the second derivative of 7*z + 0*z**2 - 1/18*z**3 - 1/20*z**5 + w*z**6 + 1/12*z**4 + 0. Determine r, given that f(r) = 0.
0, 1
Factor -14*u - 10/11*u**2 + 96/11.
-2*(u + 16)*(5*u - 3)/11
Let a(g) be the third derivative of g**6/24 - 13*g**5/12 + g**2 - 50*g. Factor a(s).
5*s**2*(s - 13)
Suppose 5 = -0*x + 2*x + 3*l, -2*l = 4*x - 14. Factor -j + x*j - 5*j - 10*j + 3*j**2.
3*j*(j - 4)
Let m(t) be the third derivative of -t**9/30240 - t**8/6720 - t**7/5040 + 3*t**4/8 - 22*t**2. Let s(q) be the second derivative of m(q). Factor s(b).
-b**2*(b + 1)**2/2
Let c = -7 + 8. Suppose -c = 4*k - 21. Suppose -9 + 10*m**2 - 4 - 5*m**3 - k*m + 13 = 0. What is m?
0, 1
Find i, given that 6*i**3 + 190*i**2 + 211*i**2 - 303*i + 40*i**2 + 51 + 21*i**3 = 0.
-17, 1/3
Let c be -39*(-4)/12 + -11. Solve -2/7*p**3 - 6/7*p + 0 - 8/7*p**c = 0 for p.
-3, -1, 0
Let i be (1 + -2 + -8 + 4)*-4. Let r be 24/i*20/12. Find s such that 0*s - 1/2*s**4 + 0*s**r - s**3 + 0 = 0.
-2, 0
Let a(v) be the first derivative of v**6/54 + v**5/9 + v**4/6 - 2*v**3/27 - 7*v**2/18 - v/3 - 66. Factor a(w).
(w - 1)*(w + 1)**3*(w + 3)/9
Let o(l) = l**2 + 26*l - 33. Let q(f) = -2*f**2 - 24*f + 34. Let m(d) = 4*o(d) + 3*q(d). Determine u so that m(u) = 0.
1, 15
Let g be -9 - -6 - (-46)/14. Let a = 7/97 - -727/679. Let -8/7*x**3 - 2/7*x**2 + a*x + g = 0. Calculate x.
-1, -1/4, 1
Let u be (66/35 - 2)*-5. Let x(d) be the first derivative of -3/7*d**4 + 9 + u*d**2 - 8/7*d - 18/35*d**5 + 22/21*d**3. Factor x(a).
-2*(a + 1)**2*(3*a - 2)**2/7
Let i be (2/(-3))/((-1)/12). Suppose 0 = -i*o + 5*o + 4*y + 216, -360 = -5*o + 3*y. Solve -1 - 5 + 4 - o*j**2 + 24*j = 0.
1/6
Let r(i) be the second derivative of -i**4/8 + 9*i**3/4 - 21*i**2/2 - 11*i - 4. Factor r(g).
-3*(g - 7)*(g - 2)/2
Let h(y) be the third derivative of -y**8/6720 - y**7/360 - 11*y**6/720 - y**5/24 - 3*y**4/8 - 14*y**2. Let g(v) be the second derivative of h(v). Factor g(d).
-(d + 1)**2*(d + 5)
Let n = -7877 + 55171/7. Factor 0*j**4 + 0*j**2 - n*j + 0 + 16/7*j**3 - 2/7*j**5.
-2*j*(j - 2)**2*(j + 2)**2/7
Let i(a) = -a**4 + a**2 + 3*a. Let t = 26 - 18. Let v(p) = -p**2 - t*p + 2*p - 2*p + 2*p**4 - p**2. Let u(x) = 8*i(x) + 3*v(x). Factor u(y).
-2*y**2*(y - 1)*(y + 1)
Let f = 12034285/8090074 + -10/51203. Let a = 1/79 + f. Factor -1/2*h**2 - 1 - a*h.
-(h + 1)*(h + 2)/2
Find q such that -6/11*q - 3/11*q**3 + 1/11*q**5 + q**2 - 3/11*q**4 + 0 = 0.
-2, 0, 1, 3
Let d(l) be the second derivative of l**7/12600 - l**6/1800 - 4*l**4/3 - 5*l. Let o(f) be the third derivative of d(f). Factor o(t).
t*(t - 2)/5
Let k(j) = -5*j**2 - 44*j - 88. Let b(g) = -5*g**2 - 45*g - 90. Let r(t) = -4*b(t) + 5*k(t). Factor r(q).
-5*(q + 4)**2
Determine o, given that -52*o**2 + 780*o**3 - 246*o**4 + 217*o**4 + 24*o**5 + o**5 + 452*o**2 - 511*o**4 = 0.
-2/5, 0, 2, 20
Factor -19 - 2*b**3 + 14*b**4 - 130*b - 31 - 2*b**5 + 232*b**2 - 324*b**2 + 6*b**3.
-2*(b - 5)**2*(b + 1)**3
Let q(t) = -23*t + 165. Let m be q(7). Let v(p) be the second derivative of 0*p**2 - 1/42*p**m + 1/70*p**5 + 0 - 2/21*p**3 - p. Suppose v(j) = 0. Calculate j.
-1, 0, 2
Let g(k) be the first derivative of -k**5/5 + 11*k**4/4 - 20*k**3/3 - 16*k**2 + 238. Factor g(d).
-d*(d - 8)*(d - 4)*(d + 1)
Let j(f) be the third derivative of 1/48*f**4 + 1/80*f**5 + 0*f - 5*f**2 + 0 + 0*f**3 - 1/280*f**7 - 1/240*f**6. Factor j(c).
-c*(c - 1)*(c + 1)*(3*c + 2)/4
Let m = -39 - -49. Let s = m - -2. Factor p - p - 11*p**2 + s*p**2.
p**2
Let q(z) be the first derivative of -z**6/15 - 6*z**5/25 - 3*z**4/10 - 2*z**3/15 - 51. Factor q(t).
-2*t**2*(t + 1)**3/5
Let j(z) be the second derivative of 0*z**4 + 0*z**2 - 3*z - 1/300*z**5 + z**3 - 1/900*z**6 + 0. Let m(t) be the second derivative of j(t). Factor m(w).
-2*w*(w + 1)/5
Let u(l) = 3*l**2 - 2*l + 4. Let a be u(2). Let j = 14 - a. Factor -2*m - 3*m - 2 - m**j - m**2 + m.
-2*(m + 1)**2
Let l = -5 - -16. Let w = 13 - l. Find p such that 3*p**w + 0*p - 12*p + 10 + 3 - 1 = 0.
2
Factor -51/2 + 9/4*c**2 - 303/4*c.
3*(c - 34)*(3*c + 1)/4
Let d be -2 + 5 - 1/(-2)*6. Let c(a) be the third derivative of a**2 + 0*a**3 + 0*a + 1/60*a**5 + 1/120*a**d + 0*a**4 + 0. Factor c(h).
h**2*(h + 1)
Let a(v) = 2*v**2 + 2. Let s(g) = 8*g**2 + 68*g + 134. Let p(k) = -3*a(k) + s(k). Suppose p(z) = 0. Calculate z.
-32, -2
Find c such that 3872/3 + 2/3*c**2 - 176/3*c = 0.
44
Factor 462*b**4 - 230*b**4 - 6*b**2 - b**3 - 230*b**4 - b + 2.
(b - 2)*(b + 1)**2*(2*b - 1)
Suppose -4 + 8 = 4*o. Suppose -2*z + 11 = o. Let l(p) = -8*p**3 + 9*p - 6. Let v(m) = 15*m**3 - 18*m + 12. Let j(q) = z*v(q) + 9*l(q). Factor j(r).
3*(r - 1)**2*(r + 2)
Let g(s) be the second derivative of -25*s - 1/12*s**4 - 1/90*s**6 - 1/20*s**5 + 0*s**2 + 0 - 1/18*s**3. Factor g(f).
-f*(f + 1)**3/3
Let l be 6 - -29 - (-2 - -7). Let w be (l + -29)/((-2)/((-4)/6)). Find s such that 5/3*s + 2/3 + w*s**3 + 4/3*s**2 = 0.
-2, -1
Let f(j) = j**2 + 3*j - 6. Let l be f(-8). Suppose 11 = 5*b - l. Factor 3*c + 0 + b*c**3 + 0 - 3 + 10*c**2 + 5*c**2.
3*(c + 1)**2*(3*c - 1)
Let w(g) be the second derivative of -3/80*g**5 - 1/120*g**6 + 1/168*g**7 + 0*g**2 - 35*g + 0 + 1/12*g**3 + 1/48*g**4. Factor w(j).
j*(j - 2)*(j - 1)*(j + 1)**2/4
Factor -51*l + 3*l**3 - 6*l**2 + 3 - 3 + 54*l.
3*l*(l - 1)**2
Let f(o) be the first derivative of -1/9*o**3 + 1 - 1/3*o**2 + o + 1/30*o**5 + 1/18*o**4. Let j(w) be the first derivative of f(w). Factor j(t).
2*(t - 