vative of q(w). Factor n(c).
-5*(c + 3)*(c + 7)/3
Let u be (12/(-117))/(2/(-10)*8 - 34262/(-30095)). Determine b, given that -50/3 + 4/9*b**2 - 160/9*b + u*b**4 + 16/9*b**3 = 0.
-5, -1, 3
Let u = 306 - 301. Let y(b) = 2*b**3 + 12*b**2 - 8*b - 6. Let v(s) = -2*s**3 - 11*s**2 + 7*s + 6. Let q(t) = u*y(t) + 6*v(t). Factor q(n).
-2*(n - 1)*(n + 1)*(n + 3)
Let t(f) be the second derivative of 5*f**4/12 - 4800*f**3 + 20736000*f**2 + 2103*f. Factor t(j).
5*(j - 2880)**2
Suppose 22*b - 54 = -5*b. Let m**2 - 215*m + 220*m + 2 + m**b = 0. Calculate m.
-2, -1/2
Let l(a) be the second derivative of -1083/2*a**2 - 2*a + 13 - 1/16*a**4 - 19/2*a**3. Suppose l(x) = 0. Calculate x.
-38
Let z be (-18)/(0 - 3) - 4. Suppose 0 = t - 1656 - 429. Let -t*h - z + 2045*h - 55*h**2 + 17 = 0. Calculate h.
-1, 3/11
Let z = -389549 + 1947747/5. Factor 0 - 4/5*u**2 - z*u**4 - 6/5*u**3 + 0*u.
-2*u**2*(u + 1)*(u + 2)/5
Let r(z) = -4*z**3 + 4416*z**2 - 18024*z + 17600. Let p(t) = t**3 - 883*t**2 + 3605*t - 3516. Let m(b) = 24*p(b) + 5*r(b). Factor m(y).
4*(y - 2)**2*(y + 226)
Suppose q + 1 = 2*q + 4*w, -5*w = 3*q - 24. Suppose 0 = -q*b + 29 + 10. Solve -74*o**4 - 8*o**b + 141*o**4 - 69*o**4 - 4*o - 10*o**2 = 0 for o.
-2, -1, 0
Let z be ((-672)/(-18))/7 + (-1)/3. Factor 4*n + 2*n**3 - z*n - 2 + 18 - 10*n**2 + 5*n.
2*(n - 4)*(n - 2)*(n + 1)
Let l(z) be the third derivative of -z**5/60 + z**4/24 - 94*z**2. Let m(k) = -k**3 - 2*k**2 + 10*k - 7. Let b(p) = -18*l(p) + 2*m(p). What is r in b(r) = 0?
-1, 1, 7
Let q = -172 - -162. Let b be q/(-95) - 15/(-38). Find l, given that -b*l**3 + 1/2*l**2 + 1/2*l - 1/2 = 0.
-1, 1
Let s = 2018/14685 - 4/979. Let g(i) be the first derivative of -s*i**5 - 5 + 0*i**3 + 0*i**2 + 1/9*i**4 - 5/27*i**6 + 0*i. Factor g(l).
-2*l**3*(l + 1)*(5*l - 2)/9
Let j(q) be the second derivative of -1/75*q**6 - 3/50*q**5 + 16*q**2 + 28/5*q**3 + 0 - 340*q + 2/3*q**4. Let j(l) = 0. What is l?
-4, -2, 5
Let d(q) be the third derivative of q**9/30240 + q**8/4704 + q**7/8820 - 8*q**5/5 - 4*q**2 + 22*q. Let o(t) be the third derivative of d(t). Factor o(v).
2*v*(v + 2)*(7*v + 1)/7
Let z be (60/(-24))/5*(-1 - 3). Suppose 8*o + 2*n - 8 = 4*o, -3*o - z*n = -6. Find f, given that -2/5*f**2 + 0 + 2/5*f**4 - 4/5*f + o*f**3 - 6/5*f**5 = 0.
-1, -2/3, 0, 1
Let w(k) be the third derivative of -5/6*k**4 + 0*k - 1/24*k**6 + 5/12*k**5 + 0*k**3 + 117*k**2 + 0. Factor w(p).
-5*p*(p - 4)*(p - 1)
Let j be 2 + (-26)/3 + 33 + -144 + 119. Let 2/3*o**2 - j*o + 0 = 0. What is o?
0, 2
Let f(x) be the first derivative of -3*x**5/5 + 99*x**4/4 + 69*x**3 + 105*x**2/2 + 252. Factor f(v).
-3*v*(v - 35)*(v + 1)**2
Let p = -525002 - -525004. Factor -33/7*q**p - 72/7*q - 4/7*q**3 - 16/7.
-(q + 4)**2*(4*q + 1)/7
Let n = -194 - -197. Suppose -5*b + 8 = n*w - w, 0 = -3*b - 4*w + 2. Factor -4/7 - 2/7*m + 2/7*m**3 + 4/7*m**b.
2*(m - 1)*(m + 1)*(m + 2)/7
Let b be 112/231 + 2/11 - ((-1696)/480 + 3). Find k such that 8/5*k**3 + b*k + 0 - 13/5*k**2 - 1/5*k**4 = 0.
0, 1, 6
Let d(z) be the first derivative of -5*z**6/6 + 19*z**5 - 95*z**4 - 880*z**3/3 + 800*z**2 + 2000*z - 2163. Suppose d(w) = 0. What is w?
-2, -1, 2, 10
Suppose -5*t = -m, -3*t - 10192*m + 10188*m + 46 = 0. Factor 0 - 5/8*k**t - 1/4*k - 1/2*k**3 - 1/8*k**4.
-k*(k + 1)**2*(k + 2)/8
Let v be ((-455)/(-26) - 10)/((-6)/(-88)). Let b be 20/(12/(-10)*v/(-44)). Find t, given that 44/3*t - 8/3*t**2 - b = 0.
1/2, 5
Let f(i) be the first derivative of 40/3*i**3 - 32*i + i**4 - 8*i**2 - 16/5*i**5 + 73 + 2/3*i**6. Factor f(s).
4*(s - 2)**3*(s + 1)**2
Let z(a) be the third derivative of -1 + 0*a - 1/3*a**3 - 7/24*a**5 - 13/24*a**4 + 49/480*a**6 - 7*a**2. Factor z(t).
(t - 2)*(7*t + 2)**2/4
Let r(k) be the first derivative of 14/3*k**3 - 5*k**2 - 2/5*k**5 + 86 - 12*k + 5/2*k**4. Factor r(g).
-2*(g - 6)*(g - 1)*(g + 1)**2
Let y(o) be the third derivative of 0 - 7/450*o**5 + 1/3*o**3 - 7/180*o**4 + 0*o + 185*o**2 - 1/900*o**6. Factor y(z).
-2*(z - 1)*(z + 3)*(z + 5)/15
Let h = -304 + -417. Let l = h + 725. Suppose -4/3*w**5 - 4*w**3 + 0*w - 4/3*w**2 + 0 - l*w**4 = 0. What is w?
-1, 0
What is y in -2/3*y**3 - 10 - 14/3*y + 14/3*y**2 = 0?
-1, 3, 5
Let a(s) = s**3 - 4*s**2 + 23*s - 34. Let o be a(2). Suppose -3/4*k + 1/2*k**2 - 1/4*k**5 - 1/2 + 0*k**o + k**3 = 0. What is k?
-1, 1, 2
Find v such that -40*v**4 + 72 + 1928/3*v**3 + 704/3*v**2 - 364*v - 12*v**5 = 0.
-9, -1, 1/3, 6
Let u(z) be the second derivative of 2*z**4/3 - 46*z**3 - 70*z**2 + z - 797. Let u(o) = 0. What is o?
-1/2, 35
Let c(y) = 2*y**2 + 5*y**3 - 7*y**3 + 0*y**3 - 5*y + 6 - 1 + 0*y**2. Let z be c(1). Factor h - 1/3*h**2 + z.
-h*(h - 3)/3
Let w(h) be the first derivative of -h**4/5 + 32*h**3/15 + 658. Find z such that w(z) = 0.
0, 8
Let a(c) = 12*c**5 + 159*c**4 + 580*c**3 + 235*c**2 - 841*c - 145. Let g(o) = -o**4 - 2*o**3 + o**2 + o + 1. Let j(s) = -a(s) - g(s). Let j(b) = 0. Calculate b.
-6, -2, -1/6, 1
Solve 64*q**2 - 89 + 8775*q - 1550 - 44*q**2 - 556 = 0 for q.
-439, 1/4
Let z(a) be the second derivative of -a**6/420 + a**5/42 - a**4/14 - 79*a**2/2 + 51*a. Let g(w) be the first derivative of z(w). Factor g(h).
-2*h*(h - 3)*(h - 2)/7
Let r(m) be the first derivative of -m**3/6 + 105*m**2/4 - 153*m - 1889. Factor r(n).
-(n - 102)*(n - 3)/2
Let x(c) = -23*c**3 + 2*c**2 + 8*c. Let r be x(-2). Suppose -48 + 203*o**2 - 17*o - r*o**2 - 3*o**3 - o = 0. What is o?
-1, 2, 8
Let x = 159 + -115. Factor x*s + 6*s**2 + 2*s**2 + 48 + 9*s**2 - 9*s**2.
4*(s + 4)*(2*s + 3)
Let x = 22791428/17 - 1340658. Factor 0 + 44/17*u**3 - x*u**2 + 0*u - 2/17*u**4.
-2*u**2*(u - 11)**2/17
Suppose -3*n + 4*z = -83, 2*n + 5*z - 29 = 11. Factor 37 + 5*r**3 - 4 - 4*r**2 - 18 - n*r + 9*r**2.
5*(r - 1)**2*(r + 3)
Let c(v) be the third derivative of -3*v**8/224 - v**7/12 + 53*v**6/240 + 7*v**5/24 - 11*v**4/12 + 37*v**2 - 90*v. Suppose c(s) = 0. Calculate s.
-44/9, -1, 0, 1
Suppose -33*r - 4*r + 93 + 18 = 0. Let i(v) be the first derivative of -4/5*v - 2/15*v**r - 39 + 3/5*v**2. Factor i(p).
-2*(p - 2)*(p - 1)/5
Let p(v) = -10*v**3 - 21*v**2 + 16*v - 6. Suppose 0 = -4*m - 0*m + 24. Let f(n) = n**2 - n + 1. Let s(r) = m*f(r) + p(r). Factor s(q).
-5*q*(q + 2)*(2*q - 1)
Let b(h) be the third derivative of -h**6/270 - 13*h**5/135 - 11*h**4/27 + 1103*h**2. Let b(d) = 0. Calculate d.
-11, -2, 0
Let i(d) = -2*d**3 + 578*d**2 - 296*d - 3. Let v(h) = -4*h**3 + 1157*h**2 - 590*h - 5. Let c(x) = -5*i(x) + 3*v(x). Solve c(z) = 0.
0, 1/2, 290
Let h(d) be the second derivative of -d**4/12 + 136*d**3/3 - 271*d**2/2 - 633*d + 2. Suppose h(y) = 0. Calculate y.
1, 271
Solve -200/3 + 10/3*h - 5/6*h**3 + 20*h**2 - 5/6*h**4 = 0 for h.
-5, -2, 2, 4
Find o such that -548*o - 3518*o + 680*o**2 + 6390 - 149*o + 5*o**3 = 0.
-142, 3
Suppose 4*h + 5*s + 12 = 0, -3*s = -h + 8 + 6. Suppose 0 = h*c - 3*c + 3. Factor 2 + 14*j + 2 + 51*j**3 + 16*j**2 - 2*j**5 - 47*j**c - 4*j**4.
-2*(j - 2)*(j + 1)**4
Factor -948/5*q + 14/5*q**2 - 272/5.
2*(q - 68)*(7*q + 2)/5
Factor 240 - 222*j + 9/2*j**3 + 42*j**2.
3*(j - 2)**2*(3*j + 40)/2
Suppose 2*w + 21 - 31 = 0. Let p be (-4)/(-2)*(2 - 1). Solve -11*t**2 - 17*t**2 + w*t**3 + 45*t - 2*t**p = 0.
0, 3
Let v be -3 - (0 + -2 + 3). Let u(t) = 60 - 14 - 24 + t**2 - 21. Let c(q) = 10*q**2 + 9*q + 7. Let a(i) = v*u(i) + c(i). Factor a(b).
3*(b + 1)*(2*b + 1)
Suppose -2*m = 4*z - 130, -19*z + 97 = -16*z + m. Determine w so that -z - 11*w**2 + 4*w**2 + 3*w**2 + 4*w**3 - 5*w**2 - 31*w**2 + 68*w = 0.
1, 8
Let r(i) be the second derivative of i**4/12 + 869*i**3/3 + 755161*i**2/2 + 361*i. Factor r(a).
(a + 869)**2
Let -28/13*b - 58/13*b**2 + 6/13*b**4 + 80/13*b**3 + 0 = 0. Calculate b.
-14, -1/3, 0, 1
Suppose -v + 6*b + 19 = 7*b, -3*b + 43 = 2*v. Suppose 194 - 138 = v*n. What is c in -3/2*c**3 + 0*c + 0 + 9/2*c**n + 0*c**2 = 0?
0, 1/3
Suppose -30 = 4*m - 7*m. Let t be (232/m)/2 + (-4)/(-10). Solve 2*r**2 - 3*r**2 + 18*r**3 + t - 19*r**3 - 3*r + 11*r = 0.
-2, 3
Factor -1/5*w**3 + 0*w + 0 - 112/5*w**2.
-w**2*(w + 112)/5
Let g(b) be the first derivative of 2*b**3 + 3/4*b**4 - 18*b + 20 - 15/2*b**2. Factor g(x).
3*(x - 2)*(x + 1)*(x + 3)
Let i(w) be the first derivative of -w**4/2 - 6*w**3 + 120*w**2 + 2200*w + 2285. Let i(v) = 0. Calculate v.
-10, 11
Let d(h) be the third derivative of 0*h**3 - 1/180*h**6 - 159*h**2 + 1/45*h**5 + 1/12*h