 + 8. Factor -s**2 - n + 6*s + x*s - 13*s.
-(s + 1)*(s + 4)
Factor -6*b**3 + 2*b**2 - 213*b**4 - 211*b**4 + 7*b - b**5 - 211*b**4 + 3 + 630*b**4.
-(b - 1)*(b + 1)**3*(b + 3)
Factor 288/7*j - 24/7*j**4 - 128/7 - 256/7*j**2 + 2/7*j**5 + 16*j**3.
2*(j - 4)*(j - 2)**4/7
Let s(o) be the second derivative of -o**9/15120 + o**8/1680 - o**7/504 + o**6/360 - 5*o**4/4 + 5*o. Let n(g) be the third derivative of s(g). Factor n(d).
-d*(d - 2)*(d - 1)**2
Let p = -594/89 + 6712/979. Factor -6/11*o + 0*o**2 + p*o**3 - 4/11.
2*(o - 2)*(o + 1)**2/11
Let u(a) be the first derivative of a**6/18 - 3*a**4/2 + 4*a**3/9 + 19*a**2/2 + 12*a - 258. Suppose u(g) = 0. Calculate g.
-4, -1, 3
Let -3/8*x**2 - 45/8 - 3*x = 0. Calculate x.
-5, -3
Let r(g) be the third derivative of -5*g**8/672 - g**7/6 - 23*g**6/16 - 35*g**5/6 - 125*g**4/12 - 2*g**2 - 122. Find d such that r(d) = 0.
-5, -2, 0
Solve 44/3*r - 2 - 14/3*r**2 = 0.
1/7, 3
Let j(u) be the first derivative of u**5 + 25*u**4/4 + 20*u**3/3 - 42. Suppose j(t) = 0. What is t?
-4, -1, 0
Let n(o) be the third derivative of o**6/280 - 3*o**5/20 + 9*o**4/7 - 34*o**3/7 + 3*o**2. Let n(u) = 0. What is u?
2, 17
Suppose 11*x + 26 = 202. Let t(m) = -3*m + 52. Let l be t(x). Find s such that -2/5*s + 7/5*s**2 + 0 - 3/5*s**3 - 7/5*s**l + s**5 = 0.
-1, 0, 2/5, 1
Let l(w) = w**3 - 35*w**2 + 7*w - 36. Let q be l(35). Let x = q - 209. Solve 0*r + 1/2*r**2 + x - 1/6*r**3 = 0 for r.
0, 3
Let s(r) be the first derivative of r**7/350 + r**6/200 - r**5/100 - r**4/40 + r**2 - 13. Let h(q) be the second derivative of s(q). What is g in h(g) = 0?
-1, 0, 1
Let l(v) be the first derivative of v**4/8 + 13*v**3/2 + 75*v**2/4 + 37*v/2 + 57. Factor l(c).
(c + 1)**2*(c + 37)/2
Let f(n) be the first derivative of n**5/270 + 5*n**4/108 + 4*n**3/27 + 5*n**2 - 20. Let h(c) be the second derivative of f(c). Factor h(a).
2*(a + 1)*(a + 4)/9
Let n(o) = 45*o**3 + 60*o**2 - 21*o + 21. Let p(q) = -11*q**3 - 15*q**2 + 5*q - 5. Let m(l) = -5*n(l) - 21*p(l). Suppose m(v) = 0. What is v?
-5/2, 0
Determine r, given that 6/5*r**3 - 22/5*r + 1/5*r**4 + 3 + 0*r**2 = 0.
-5, -3, 1
Let g(c) be the first derivative of -c**4/4 - 55. Factor g(y).
-y**3
Let k(h) = -2*h**3 - 63*h**2 - 117*h - 62. Let d(c) = c**3 + c**2 - 2*c. Let b(v) = 15*d(v) + 5*k(v). Suppose b(l) = 0. Calculate l.
-1, 62
Factor -60 - 25*m**2 - 5*m**3 + 18*m**2 + 20*m + 22*m**2.
-5*(m - 3)*(m - 2)*(m + 2)
Let y(a) = -24*a**3 + 31*a**2 - 65*a + 47. Let f(s) = -13*s**3 + 16*s**2 - 33*s + 24. Let p(q) = 11*f(q) - 6*y(q). Factor p(c).
(c - 6)*(c - 3)*(c - 1)
Let o(p) = -3*p**2 - p + 1. Let g(l) = 12*l**2 + 35*l - 68. Let t(q) = -g(q) - 5*o(q). Factor t(m).
3*(m - 7)*(m - 3)
Let m(a) be the third derivative of a**7/630 + a**6/120 - a**4/18 + 34*a**2. Suppose m(l) = 0. What is l?
-2, 0, 1
Let s(b) = 15*b**3 - 365*b**2 - 10*b + 5. Let d(z) = -7*z**3 + 182*z**2 + 4*z - 2. Let f(h) = -5*d(h) - 2*s(h). Find l, given that f(l) = 0.
0, 36
Let b(t) be the first derivative of 24/5*t + 9/2*t**2 + 6/5*t**3 - 3/20*t**4 + 24. Factor b(x).
-3*(x - 8)*(x + 1)**2/5
Let c(y) be the second derivative of -y**4/12 - y**3/3 + 3*y**2/2 + y - 1. Factor c(n).
-(n - 1)*(n + 3)
Let l(q) = -7*q**2 - q + 8. Let j(g) = g**2 + 2*g + 1. Let z(b) = 6*j(b) + l(b). Let p be z(12). Let 6/5*w**p - 4/5*w + 0 - 2/5*w**3 = 0. What is w?
0, 1, 2
Factor 2*v - 8/3*v**2 + 2/3*v**3 + 0.
2*v*(v - 3)*(v - 1)/3
Let r(u) be the first derivative of 3*u**4/20 - 17*u**3 + 5289*u**2/10 + 5547*u/5 - 227. Factor r(i).
3*(i - 43)**2*(i + 1)/5
Let s be ((-15)/(1080/32) + 0)/(10/(-3)). Solve 2/15*i**5 + 0 + 2/5*i**3 - s*i**2 - 2/5*i**4 + 0*i = 0.
0, 1
Let r = -29/5 - -31/5. Let q be 1/5 - 4/(-20). Let r*v**2 - 2/5*v**4 + 0 - q*v + 2/5*v**3 = 0. What is v?
-1, 0, 1
Suppose 3099*x**4 - 126576*x + 13056*x**3 - 10018 - 71012*x**3 - 194648*x**2 + 2021*x**4 - 13310 - 100*x**5 = 0. What is x?
-2, -2/5, 27
Let p(g) be the first derivative of -4*g**2 + 14/3*g**3 + g**4 - 3 + 0*g. Determine b, given that p(b) = 0.
-4, 0, 1/2
Suppose 18*i - 75 = 33. Let z(d) be the second derivative of 7/75*d**i - 8/15*d**3 - 9/25*d**5 + 2/3*d**4 + 0 - 1/105*d**7 + 7*d + 0*d**2. Factor z(x).
-2*x*(x - 2)**3*(x - 1)/5
Determine u so that -4/5*u - 14/15*u**2 + 0 - 2/15*u**3 = 0.
-6, -1, 0
Suppose -8*v + 9*v - 8 = 0. Let x be (-6)/v + (-19)/(-4). Find z, given that -2 - 4*z - 3*z + 2*z**4 - 5*z**3 - 4*z**4 - 9*z**2 + z**x = 0.
-2, -1
Solve 18/5*j - 16/5*j**3 + 12/5*j**2 + 0 - 12/5*j**4 - 2/5*j**5 = 0 for j.
-3, -1, 0, 1
Factor -20*m**4 - 4*m**5 - 28*m**2 + 12*m**3 - 4*m - 4*m - 4*m**3 - 44*m**3.
-4*m*(m + 1)**3*(m + 2)
Let c be 2*(-1)/(-6) + (-8880)/(-90). Let t = c + -97. What is j in 1/5*j**4 + 8/5*j**t - 4/5*j - j**3 + 0 = 0?
0, 1, 2
Let g(y) = 3*y**4 + 17*y**3 + 26*y**2 + 10*y. Let v = -38 + 36. Let m(i) = 6*i**4 + 35*i**3 + 53*i**2 + 19*i. Let r(z) = v*m(z) + 5*g(z). Factor r(x).
3*x*(x + 1)*(x + 2)**2
Let z = 4053 - 4050. Factor -18/7*i**2 - 3/7*i**z - 12/7 - 27/7*i.
-3*(i + 1)**2*(i + 4)/7
Suppose 3*w + 6 = 2*r, 0 = 2*r + 5*w + 13 - 3. Let k(x) be the first derivative of 1/14*x**2 - 1/28*x**4 + 0*x**3 + r*x - 5. Factor k(n).
-n*(n - 1)*(n + 1)/7
Let v(r) = 2*r**2 - 4*r - 1. Let m(y) = -2*y - 5. Let k be m(-4). Let f be v(k). Factor -24*o + 50*o**2 - 38*o**3 + 14*o**4 - 8*o + 0*o**5 - 3*o**f + 8 + o**5.
-2*(o - 2)**2*(o - 1)**3
Let w(d) = 2*d**2 + 14*d - 2. Let f(m) be the first derivative of m**2/2 - m + 17. Let p(k) = 4*f(k) - 2*w(k). Factor p(r).
-4*r*(r + 6)
Suppose -3/2*c**3 + 3/4*c**2 + 0 - 3/4*c**4 + 3/2*c = 0. Calculate c.
-2, -1, 0, 1
Solve 17/2*m + 26/3 - 1/6*m**2 = 0 for m.
-1, 52
Let v(b) be the third derivative of -3*b**2 + 0*b + 0*b**3 - 1/150*b**5 + 0 + 1/60*b**4. Factor v(n).
-2*n*(n - 1)/5
Let g(b) be the second derivative of b**9/37800 - b**7/900 + b**6/300 - 2*b**4/3 - 21*b. Let j(k) be the third derivative of g(k). Solve j(x) = 0 for x.
-3, 0, 1, 2
Let y be ((-68)/119)/(4/(-14)). Let v(s) be the second derivative of 0 + 0*s**y + 3*s + 3/100*s**5 + 0*s**4 + 0*s**3 - 1/50*s**6. Let v(q) = 0. What is q?
0, 1
Determine s, given that 7447750/7 + 930/7*s**2 - 2/7*s**3 - 144150/7*s = 0.
155
Let w = 7 - 9. Let g be ((-8)/(-4))/w*-4. Factor 2 + 33*l + 48*l**2 + 28*l**3 + 0 + g - 7*l**3.
3*(l + 1)**2*(7*l + 2)
Let b(x) = x**2 + 8*x + 7. Let d be b(-7). Suppose 4*l + p = 6, d = l + l + 2*p. Factor -a**2 + 2*a - 2*a**l - 3*a + 7*a.
-3*a*(a - 2)
Let a(d) be the third derivative of 1/6*d**4 - d**2 - 1/15*d**5 - 1/30*d**6 + 0 + 0*d**3 + 2/105*d**7 + 0*d. Determine i, given that a(i) = 0.
-1, 0, 1
Let m(k) be the first derivative of 0*k + 2 - 10/21*k**3 + 2/7*k**2. Factor m(j).
-2*j*(5*j - 2)/7
Let s(d) be the second derivative of -d**7/1890 + d**5/270 - 13*d**3/6 - 9*d. Let f(k) be the second derivative of s(k). Factor f(v).
-4*v*(v - 1)*(v + 1)/9
Let l be (((-9)/(-6) - 1) + -1)*0. Factor l*x**4 + 0*x**2 + 0*x + 0 + 1/7*x**5 - 1/7*x**3.
x**3*(x - 1)*(x + 1)/7
Suppose 214*q - 95 - 333 = 0. Suppose -4/3 - 1/6*k**4 + k**q - 2/3*k + 1/6*k**3 = 0. Calculate k.
-2, -1, 2
Let l(j) = j**3 + 18*j**2 - 20*j + 21. Let a be l(-19). Suppose -9*h - h = -a. Solve 0 + 8/3*p + h*p**2 + 1/3*p**4 + 2*p**3 = 0.
-2, 0
Let m = -21668/5 - -4339. Factor 3/5*q**3 + 48/5 + m*q**2 + 72/5*q.
3*(q + 1)*(q + 4)**2/5
Let r be ((-38)/19)/(1/(-12)). Suppose 20*d = r*d - 8. Factor -8/3 - 22*x**d + 44/3*x + 25/3*x**4 + 5/3*x**3.
(x - 1)*(x + 2)*(5*x - 2)**2/3
Let t = -12153 + 12156. Solve n**t + 1/3*n**4 - 1/3*n**5 - 1/3*n**2 - 2/3*n + 0 = 0.
-1, 0, 1, 2
Let f(i) be the third derivative of 8*i**2 + 0 + 0*i**4 - 4/3*i**3 + 0*i + 1/30*i**5. Determine t, given that f(t) = 0.
-2, 2
Let i = 40/199 - -1711/398. Determine d so that -3*d + 0 - 3/2*d**3 + i*d**2 = 0.
0, 1, 2
Let z be ((-6)/(-4))/(84/224). Let b(r) be the second derivative of -1/15*r**3 + 0 + 1/60*r**z + 0*r**2 - 6*r. What is s in b(s) = 0?
0, 2
Let c(v) = 5*v**4 - 84*v**3 + 23*v**2 + 10*v - 5. Let r(q) = -3*q**4 + 41*q**3 - 12*q**2 - 4*q + 2. Let m(o) = 2*c(o) + 5*r(o). Factor m(u).
-u**2*(u - 7)*(5*u - 2)
Let k be 8/30*(7 + (4 - 8)). Suppose 0 + 4/5*s**5 + 16/5*s**2 + 16/5*s**4 + k*s + 24/5*s**3 = 0. Calculate s.
-1, 0
Let 288 + 0*r**2 + 48*r + 0*r**2 + 11*r**2 - 9*r**2 = 0. Calculate r.
-12
Let k be (16/36)/(8/12). Factor 8/15 + 2/15*t**2 - k*t.
2*(t - 4)*(