**4/6 - 128*j**3/3 - 84*j**2 + 287*j. Determine y, given that l(y) = 0.
-6, -1/2, 2, 7
Let s be (-16)/(-6)*(-24)/(-32). Let v(p) = 7*p**3 + 27*p**2 + 38*p + 20. Let c(u) = 15*u**3 + 55*u**2 + 75*u + 40. Let x(k) = s*c(k) - 5*v(k). Factor x(f).
-5*(f + 1)*(f + 2)**2
Let u(i) be the first derivative of 0*i + 6/5*i**2 + 17 + 3/20*i**4 - 4/5*i**3. Solve u(x) = 0.
0, 2
Let b(l) = -2*l**2 - 18*l. Let t be b(-9). Factor 3/2*s + 3/4*s**3 + 9/4*s**2 + t.
3*s*(s + 1)*(s + 2)/4
Let b(t) = t**2 - 5*t + 21. Let v(j) = -j**2 + 4*j - 23. Let l(w) = 4*b(w) + 3*v(w). Factor l(u).
(u - 5)*(u - 3)
Let j(w) be the second derivative of -5*w**2 - 40*w + 25/12*w**4 + 0 + 5/6*w**3 + 1/2*w**5. Solve j(m) = 0 for m.
-2, -1, 1/2
Let 16/11 + 14/11*d - 2/11*d**2 = 0. Calculate d.
-1, 8
Factor 1/3*i**2 - 10/3*i - 11/3.
(i - 11)*(i + 1)/3
Let g(v) = -13*v + 75. Let i be g(4). Suppose i = 5*l + 8. Factor -3 + 9/4*a**2 + 0*a - 3/4*a**l.
-3*(a - 2)**2*(a + 1)/4
Let p be 8 - 100/(-12) - 15. Factor 1/3 - p*m + 5/3*m**2 - 2/3*m**3.
-(m - 1)**2*(2*m - 1)/3
Let h = -77746/9 + 8644. Factor h + 2/9*s**2 - 20/9*s.
2*(s - 5)**2/9
Suppose 0 = -38*t - 0*t + 136 - 22. Let 1/4*g**5 - 1/4*g**2 + 7/4*g**t - 2*g - 1 + 5/4*g**4 = 0. What is g?
-2, -1, 1
Suppose -b = 5*l - 80, 2*b - 4*l = b + 35. Factor -2 + 18*f**5 - 8 - 53*f**2 - 8*f**5 + 115*f**3 + 55*f - b*f**4 - 62*f**2.
5*(f - 2)*(f - 1)**3*(2*f - 1)
Let h = 11/15 + -47/105. Suppose 6*u - 13*u + 28 = 0. Factor 2/7 + 0*l**2 - h*l**u + 4/7*l**3 - 4/7*l.
-2*(l - 1)**3*(l + 1)/7
Suppose -592*j = -602*j + 30. Factor 1/2*s**4 - 1/2 - s**j + s + 0*s**2.
(s - 1)**3*(s + 1)/2
Factor 17*y**2 + 36/5 + 4/5*y**4 - 168/5*y + 43/5*y**3.
(y - 1)*(y + 6)**2*(4*y - 1)/5
Suppose 4*c = -u - 2 - 2, -3*c - 6 = 0. Let f be 192/88 - u/22. Factor 2*b**f - 3*b**3 + b**5 - 7 + 7.
b**2*(b - 1)**2*(b + 2)
Suppose f = -2 + 5. Suppose 0 = 199*l + 78 - 476. Factor -3*q + 1/4*q**l + q**4 + 1 + f*q**3.
(q + 2)**2*(2*q - 1)**2/4
Let x(z) be the second derivative of -1/6*z**6 - 33*z + 0 + 0*z**4 - 1/4*z**5 + 0*z**3 + 0*z**2. Solve x(m) = 0.
-1, 0
Factor 1462*k**2 + 1176/5 + 5872/5*k - 10*k**3.
-2*(k - 147)*(5*k + 2)**2/5
Let f = -3819 + 3822. Factor 1/2*i**f + 0 + 1/2*i - i**2.
i*(i - 1)**2/2
Let b(d) be the second derivative of -7*d**4/20 + 18*d**3/5 - 3*d**2/2 - 7*d. Factor b(o).
-3*(o - 5)*(7*o - 1)/5
Let q(b) be the first derivative of -b**3/15 + 47*b**2/5 - 2209*b/5 - 57. Factor q(z).
-(z - 47)**2/5
Let m(u) = u**3 + 8*u**2 + 7*u + 4. Let k be m(-7). Let x be (18*5/70)/(6/k). Factor 0*g - x*g**3 + 0 + 4/7*g**2 + 0*g**4 + 2/7*g**5.
2*g**2*(g - 1)**2*(g + 2)/7
Let u = 280 - 276. Let x(s) be the second derivative of -3*s - 3/2*s**u + 0*s**2 + 2/3*s**3 + 0. Let x(c) = 0. Calculate c.
0, 2/9
Let k(z) be the third derivative of -z**6/30 + 11*z**5/60 + 19*z**4/24 + 2*z**3/3 + 30*z**2 + 2. Factor k(c).
-(c - 4)*(c + 1)*(4*c + 1)
Solve 2/9*a**4 - 28/9*a**3 - 250/9 - 100/9*a + 40/3*a**2 = 0 for a.
-1, 5
Let x(a) be the third derivative of a**8/112 + 2*a**7/35 - 3*a**6/40 - 9*a**5/10 - 10*a**2 + 4*a. Solve x(w) = 0.
-3, 0, 2
Let z(m) be the third derivative of 2*m**7/105 - 7*m**6/30 + m**5/3 + 7*m**4/6 - 4*m**3 + 508*m**2. Suppose z(y) = 0. What is y?
-1, 1, 6
Let f(m) be the second derivative of -m**4/60 - 2*m**3 - 90*m**2 + 45*m. Find q such that f(q) = 0.
-30
Let p = -2728 - -2730. Let -1/6 + 1/12*z**p + 1/12*z = 0. Calculate z.
-2, 1
Let r = -768 + 771. Let m(f) be the third derivative of 0*f + 1/8*f**r + 4*f**2 + 0 + 1/240*f**5 - 1/24*f**4. Suppose m(c) = 0. What is c?
1, 3
Let q = 3567/7126 + -2/3563. Determine x so that x**2 + 1/3*x**5 - 1/2 - 2/3*x**3 - q*x**4 + 1/3*x = 0.
-1, 1, 3/2
Let t(i) = -2*i**2 - 6*i + 11. Let y be t(-4). Let x(m) = 35*m**3 - 115*m**2 + 30*m - 3. Let h(n) = -1. Let r(l) = y*h(l) - x(l). Factor r(c).
-5*c*(c - 3)*(7*c - 2)
Let s(p) = 2*p**2 - 5*p - 6. Let v be s(9). Factor 180*o**2 - 54 - 93*o**2 - 63*o - 3*o**3 - v*o**2.
-3*(o + 2)*(o + 3)**2
Let g(v) be the first derivative of -4*v**5/45 - 4*v**4/9 + 28*v**3/27 + 20*v**2/9 - 69. Factor g(c).
-4*c*(c - 2)*(c + 1)*(c + 5)/9
Factor 0*h**4 - 14*h**3 - 4055 - 3*h**4 - 19*h**2 - 4*h + 4059.
-(h + 1)*(h + 2)**2*(3*h - 1)
Let a(t) be the second derivative of t**4/12 + 2*t**3 - t + 79. Factor a(r).
r*(r + 12)
Let g = -32 - -44. Suppose -g*c + 16 = -32. Determine j, given that 0*j - 4/7*j**3 - 2/7*j**c - 2/7*j**2 + 0 = 0.
-1, 0
Solve 0 - 1/3*c**2 + 1/3*c = 0.
0, 1
Let d be ((-42)/(-84))/(3/30). Let g(j) be the second derivative of 1/12*j**d + 0*j**2 + 0 - 5/6*j**4 + 4*j + 5/2*j**3. Factor g(k).
5*k*(k - 3)**2/3
Let n(d) = 3*d + d**2 + 3*d - 3*d. Let m be n(-4). Determine s so that -s + 3*s**2 - m*s**2 + 0*s = 0.
-1, 0
Let t = -10 - -7. Let w(y) = 6*y**4 + 3*y**3 - 3*y + 3. Let j(o) = o**4 + o**3 + o**2 - o + 1. Let i(c) = t*j(c) + w(c). Suppose i(u) = 0. What is u?
-1, 0, 1
Let x(w) = 26*w**2 - 78*w + 100. Let r(d) = 8*d**2 - 25*d + 33. Let h(y) = 10*r(y) - 3*x(y). Factor h(o).
2*(o - 5)*(o - 3)
Let j(u) be the first derivative of -u**6/10 - 12*u**5/25 + 6*u**4/5 + 14*u**3/5 - 21*u**2/10 - 6*u + 85. Determine g, given that j(g) = 0.
-5, -1, 1, 2
Let x = 17853 - 196351/11. Factor -2/11*m**4 - x*m**2 + 0*m + 0 - 16/11*m**3.
-2*m**2*(m + 4)**2/11
Let j = -50 - -54. Suppose 0*n + 3*n - a = 15, j*a + 4 = -2*n. Solve 0 - 2/13*m**2 + 2/13*m**n - 2/13*m**5 + 0*m + 2/13*m**3 = 0 for m.
-1, 0, 1
Let g(o) = -o**3 - 6*o**2 + 3*o + 8. Let u(h) = 3*h**2 + 1 + 3*h + 8 - 7*h**2 - 2*h**2. Let f(x) = 3*g(x) - 2*u(x). Factor f(r).
-3*(r - 1)*(r + 1)*(r + 2)
Let b be 2/(-7) - 74/(-14). Find o such that -o + 2*o**2 - 2*o - 3 - b - 3*o = 0.
-1, 4
Let r(s) = 4*s**2 - 69*s - 3. Let f(x) = -x + 7. Let z(i) = 6*f(i) - 3*r(i). Factor z(k).
-3*(k - 17)*(4*k + 1)
Let g be 14 - (-11)/(-44)*40. Let p(q) be the third derivative of 1/120*q**5 + 5*q**2 + 1/4*q**3 - 1/240*q**6 + 0*q + 0 + 5/48*q**g. Factor p(a).
-(a - 3)*(a + 1)**2/2
Let j(g) = -9*g - 1. Let v be j(-3). Suppose -10 = 4*o - v. Factor 136*s**2 + 102*s**4 + 420*s**3 + 31*s + 448*s**o - 15*s + 250*s**5.
2*s*(s + 1)*(5*s + 2)**3
Let q(w) be the third derivative of 2*w**7/735 + w**6/210 - w**5/35 - w**4/42 + 4*w**3/21 + 2*w**2 - 11*w. Factor q(k).
4*(k - 1)**2*(k + 1)*(k + 2)/7
Let p(i) = i**2 - i + 1. Let k(n) = 20*n**2 - 20*n - 8. Suppose 0 = z + 11 + 5. Let s(y) = z*p(y) + k(y). Factor s(l).
4*(l - 3)*(l + 2)
Let a = 232/1185 + 1/237. Let o(l) be the first derivative of 0*l**3 + 1/10*l**4 + 5 - a*l**2 + 1/5*l - 1/25*l**5. Find f such that o(f) = 0.
-1, 1
Let r(u) be the third derivative of -8*u**2 - 1/42*u**4 - 1/21*u**3 + 0*u + 0 - 1/210*u**5. Suppose r(k) = 0. What is k?
-1
Let m(u) be the first derivative of -u**5/30 + u**4/3 - 7*u**2 - 4. Let s(j) be the second derivative of m(j). Factor s(f).
-2*f*(f - 4)
Let s(o) be the second derivative of -o**9/7560 + o**7/1260 + 5*o**4/12 + 3*o. Let a(u) be the third derivative of s(u). Factor a(m).
-2*m**2*(m - 1)*(m + 1)
Let k = 6913 - 6910. What is z in 2/9*z**4 + 4/9*z - 4/9*z**k + 0 - 2/9*z**2 = 0?
-1, 0, 1, 2
Suppose 4*q = -5 + 17. Suppose 12 - 68*x**5 + 205*x + 263*x**q + 520*x**4 + 702*x**3 + 148*x**5 + 8 + 710*x**2 = 0. Calculate x.
-4, -1, -1/4
Factor 240 - 72*s - 101*s**2 + 84 + 105*s**2.
4*(s - 9)**2
Let p(a) = a**2. Let j(y) = 4*y**3 - 8*y**2. Let w(n) = -2*j(n) - 10*p(n). Factor w(q).
-2*q**2*(4*q - 3)
Find n, given that 0 + 11/3*n - 35/6*n**2 + 7/3*n**3 - 1/6*n**4 = 0.
0, 1, 2, 11
Solve -10*c**4 - 45*c**2 - 35*c**3 + 219 - 25*c - 443 + 219 = 0.
-1, -1/2
Suppose -9*w + 4*w = -40. Factor -5*l**2 - w*l - 500 + 21*l - 113*l.
-5*(l + 10)**2
Let l(s) be the first derivative of s**6/40 + 3*s**5/80 - 3*s**4/16 - s**3/8 + 3*s**2/4 + 3*s - 12. Let t(b) be the first derivative of l(b). Factor t(y).
3*(y - 1)**2*(y + 1)*(y + 2)/4
Let a(n) be the second derivative of -n**6/20 + 9*n**5/20 - n**4 - 3*n**3/2 + 27*n**2/4 + 26*n - 2. Suppose a(z) = 0. What is z?
-1, 1, 3
Let m(n) be the first derivative of n**3/2 - 69*n**2/4 + 63*n + 246. Find k, given that m(k) = 0.
2, 21
Let w = 35 + -17. Let q be (w/16)/(45/12 + -3). Factor 3*f - 3/2*f**2 - q.
-3*(f - 1)**2/2
Let k = -164 - -251. Find a such that -3*a**2 + 89 - 272 + 87 + k + 12*a = 0.
1, 3
Let q = -4/197 + 454/2955. Let i(a) be the first derivative of 1/3*a**4 + 0*a**2 - 2/9*a**