et w(o) = o**2 + 4*o - 8. Let a(b) = -5*b**2 - 20*b + 38. Let x(u) = k*w(u) + 2*a(u). Factor x(r).
(r - 2)*(r + 6)
Let i(o) be the third derivative of o**6/600 + 17*o**5/150 + 77*o**4/24 + 242*o**3/5 + 3128*o**2. Factor i(h).
(h + 11)**2*(h + 12)/5
Factor 2470*z - 1819*z - 1278*z - z**2.
-z*(z + 627)
Let p = 269 + 21. Let o = p + -577/2. Determine q so that -o*q + 3/2 - 3/2*q**2 + 3/2*q**3 = 0.
-1, 1
Let a(m) be the third derivative of -m**7/35 + 47*m**6/60 + 181*m**5/30 + 169*m**4/12 + 38*m**3/3 + 918*m**2 + 2. Let a(b) = 0. Calculate b.
-2, -1, -1/3, 19
Let a(q) = -53 - 4 + 78*q + 15 + 6*q**2 - 47. Let s(m) = -3*m**2 - 39*m + 45. Let t(k) = -3*a(k) - 5*s(k). Determine h so that t(h) = 0.
-14, 1
Let a(c) be the third derivative of c**6/360 - 3*c**5/2 + 748*c**4/3 + 18496*c**3/9 - 3*c**2 + c. Factor a(t).
(t - 136)**2*(t + 2)/3
Let m(t) be the second derivative of -t**4/3 + 4952*t**3/3 - 3065288*t**2 + 2299*t - 3. Find v, given that m(v) = 0.
1238
Let a(u) be the first derivative of 7*u**6/51 + 662*u**5/85 + 87*u**4/34 - 662*u**3/51 - 94*u**2/17 + 2369. Solve a(x) = 0.
-47, -1, -2/7, 0, 1
Let q(s) = 12*s**2 + 2*s - 1. Let o be q(1). Let y be (-4)/(-12)*((-2 - -1) + o). Factor 19*v**y - 38*v**4 + 2*v**2 + 17*v**4.
-2*v**2*(v - 1)*(v + 1)
Suppose 2*o + 27 = c, -411*c + 3*o - 72 = -414*c. Let r(u) be the second derivative of 0*u**2 + 1/80*u**5 + 1/6*u**3 - c*u - 5/48*u**4 + 0. Factor r(z).
z*(z - 4)*(z - 1)/4
Let r(t) = -t**3 + 55*t**2 - 1104*t + 1105. Let j(p) = p**3 - 27*p**2 + 552*p - 559. Let c(o) = -5*j(o) - 3*r(o). Find u, given that c(u) = 0.
-26, 1, 10
Let n(c) be the third derivative of -c**4/24 + 5*c**3/3 + 11*c**2. Let x be n(6). Factor 9*w**4 - 3*w**x - 6*w - 6*w**2 - w + 3*w + 4*w**3.
2*w*(w - 1)*(w + 1)*(3*w + 2)
Let n(c) = -31*c**3 + 720*c**2 - 4501*c + 7380. Let j(l) = 10*l**3 - 240*l**2 + 1500*l - 2460. Let p(z) = 16*j(z) + 5*n(z). Factor p(d).
5*(d - 41)*(d - 4)*(d - 3)
Let k be (16 - 1000/75)*(-1)/(-8)*2. Factor -2/3*m + 0 - k*m**2.
-2*m*(m + 1)/3
Let c(u) be the third derivative of 0*u - 67*u**2 + 2/3*u**5 + 1/24*u**6 + 0*u**4 + 0*u**3 + 0. Factor c(n).
5*n**2*(n + 8)
Let g be 1 - ((-1127)/368 - -4). Let n(u) be the first derivative of 0*u + 0*u**2 + g*u**4 - 1/24*u**6 - 1/6*u**3 - 24 + 1/10*u**5. Find k, given that n(k) = 0.
-1, 0, 1, 2
Let v = 6557 - 6551. Let k(u) be the second derivative of 7/2*u**3 + 0 + 21*u + v*u**2 - 3/20*u**5 + 1/2*u**4. Factor k(y).
-3*(y - 4)*(y + 1)**2
Let p(n) be the first derivative of -n**5 + 5*n**4/4 + 260*n**3/3 + 110*n**2 - 480*n - 4856. Let p(y) = 0. What is y?
-6, -2, 1, 8
Let v(g) be the third derivative of -2/3*g**4 + 0*g**3 + 0 + 7*g + 1/60*g**6 + 7/30*g**5 - g**2. Factor v(i).
2*i*(i - 1)*(i + 8)
Let z(h) = 4*h - 22. Let w be z(5). Let v be ((-8)/2 - -7) + 0/w. What is s in -s**4 + 8*s**3 + 10*s**4 + 3*s**5 + s**v + 3*s**2 = 0?
-1, 0
Let y(v) = -4*v**3 + v + 1. Let b(i) = -i**5 - 2*i**4 - 7*i**3 + 2*i**2 + 2*i + 2. Let t(g) = -b(g) + 2*y(g). Suppose t(w) = 0. Calculate w.
-2, -1, 0, 1
Let k = -1551889 + 1551889. Factor 14/5*x**4 + 1/5*x**5 - 31/5*x**3 + k + 16/5*x**2 + 0*x.
x**2*(x - 1)**2*(x + 16)/5
Suppose 49*d + 1/2*d**2 + 836 = 0. Calculate d.
-76, -22
Let u = -227983 - -227987. Factor 7/9*p**u + 44/9*p**2 + 32/9*p**3 + 16/9*p + 0.
p*(p + 2)**2*(7*p + 4)/9
Let a(m) be the third derivative of -m**6/660 + 2*m**5/165 - m**4/33 - 727*m**2. Factor a(y).
-2*y*(y - 2)**2/11
Let b(x) be the first derivative of -x**7/210 + x**6/30 - x**5/15 + 32*x**3 - 135. Let c(v) be the third derivative of b(v). Find m such that c(m) = 0.
0, 1, 2
Let o(t) = -3*t**2 - 852*t - 1322. Let j(q) = q**2 + 284*q + 455. Let u(m) = -11*j(m) - 4*o(m). Factor u(b).
(b + 1)*(b + 283)
Find k such that -36/7*k + 12/7*k**2 + 4/7*k**3 + 20/7 = 0.
-5, 1
Suppose 0 = 12*y + y - 302 + 94. Let a(w) be the second derivative of 5/9*w**3 + 0 + 1/36*w**4 + 25/6*w**2 - y*w. Solve a(x) = 0.
-5
Factor -5/3*w + 1/3*w**4 - 7/3*w**3 + 0 + 11/3*w**2.
w*(w - 5)*(w - 1)**2/3
Suppose 4*d - 14 = -2*f, 2*d = -101*f + 97*f + 16. Determine x, given that 12/11 - 2/11*x - 2/11*x**d = 0.
-3, 2
Let s(t) be the first derivative of -t**4/24 + 80*t**3/9 + 653. What is z in s(z) = 0?
0, 160
Let d(z) be the second derivative of -275*z - 13/84*z**4 + 1/210*z**6 + 0*z**3 + 0*z**2 - 3/35*z**5 + 0. Solve d(u) = 0 for u.
-1, 0, 13
Suppose -2*g + 586 - 48 = 0. Let q = 1349/5 - g. Factor -1/5*z**2 + 4/5*z - q.
-(z - 2)**2/5
Let l(h) = -h**3 + 8*h**2 - 3*h - 4. Let q be l(6). Solve q*m - m**2 - 17*m + 0*m**2 - 17*m = 0.
0, 16
Let k = 201365 + -201363. Let 4/5*p**k + 128/5 + 72/5*p = 0. Calculate p.
-16, -2
Factor 245/3*p + 2200/3 + 5/6*p**2.
5*(p + 10)*(p + 88)/6
Factor 45/4*f**2 - 663/4*f - 1/4*f**3 + 3211/4.
-(f - 19)*(f - 13)**2/4
Let l(r) be the third derivative of 1/30*r**6 + 0*r + 1/60*r**5 - 1/6*r**3 + 35*r**2 + 0 - 1/6*r**4. What is q in l(q) = 0?
-1, -1/4, 1
Let s(f) be the second derivative of 0 + 8/5*f**2 + 237*f + 7/30*f**4 + 1/50*f**5 + 14/15*f**3. What is j in s(j) = 0?
-4, -2, -1
Let n(k) be the third derivative of -k**9/2520 + k**8/2240 + k**7/840 - k**4/12 - 5*k**3 - 20*k**2. Let o(l) be the second derivative of n(l). Factor o(i).
-3*i**2*(i - 1)*(2*i + 1)
Let z(r) be the third derivative of 1/40*r**6 + 0 - 1/15*r**5 + 194*r**2 + 0*r + 1/3*r**3 + 1/105*r**7 - 1/8*r**4. Suppose z(n) = 0. What is n?
-2, -1, 1/2, 1
Factor 0*l - 69/2*l**3 + 210*l**2 - 3/2*l**4 + 0.
-3*l**2*(l - 5)*(l + 28)/2
Let c(r) = 15*r**2 - 133*r - 51. Let q(i) = 17*i**2 - 132*i - 50. Let y(j) = -6*c(j) + 5*q(j). Factor y(t).
-(t - 28)*(5*t + 2)
Let o(p) = 316*p**3 - 9480*p**2 + 7451328*p - 1957215488. Let u(k) = -13*k**3 + k**2. Let t(s) = o(s) + 24*u(s). Determine n so that t(n) = 0.
788
Solve -78*c**4 + 2*c**5 + 2*c**5 + 432*c**2 - 10*c**5 + 300*c - 89 - 81*c**3 - 55 - 3*c**5 = 0 for c.
-6, -4, -1, 1/3, 2
Let i(b) be the second derivative of b**4/8 + 3*b**3 - 975*b**2/4 + 399*b - 5. Factor i(o).
3*(o - 13)*(o + 25)/2
Suppose -4*y = -5*j + 1752, 970 = -4*y + j - 782. Let f = 877/2 + y. Factor -3/2*q**3 - 1/2 + 3/2*q + f*q**2.
-(q - 1)*(q + 1)*(3*q - 1)/2
Factor -28/3 + 4*u**2 + 6*u - 2/3*u**3.
-2*(u - 7)*(u - 1)*(u + 2)/3
Let r(d) = 35*d**2 + 705*d - 198. Let y(x) = 40*x**2 + 705*x - 191. Let q(m) = -8*r(m) + 9*y(m). Factor q(u).
5*(u + 9)*(16*u - 3)
Solve 49/8*l**2 - 191/4*l + 1/8*l**3 + 70 = 0 for l.
-56, 2, 5
Let k(r) = -18*r**2 + 194*r + 791. Let n(h) = -8*h**2 + 96*h + 395. Let s(l) = 6*k(l) - 14*n(l). Factor s(t).
4*(t - 49)*(t + 4)
Find q, given that 112*q**3 + 97*q**3 + 242*q - 48 - 307*q**2 - 244*q**3 + 58*q**2 = 0.
-8, 2/7, 3/5
Let w(n) be the third derivative of n**10/75600 - n**9/12600 - 9*n**4/8 - 5*n**2 + 3*n. Let s(x) be the second derivative of w(x). Factor s(k).
2*k**4*(k - 3)/5
Let r(l) be the first derivative of 0*l - 169 + 305*l**4 - 28*l**5 + 1440*l**2 - 1120*l**3 + 5/6*l**6. Let r(o) = 0. Calculate o.
0, 2, 12
Let f(p) be the first derivative of 5/4*p**4 - 67 + 20/3*p**3 - 20*p - 5/2*p**2. Determine h so that f(h) = 0.
-4, -1, 1
Let b(f) be the third derivative of 0*f + 0*f**3 + 38*f**2 + 1/150*f**5 + 0 - 1/20*f**4. Factor b(z).
2*z*(z - 3)/5
Let h(p) be the first derivative of -p**6/3 - 34*p**5/5 - 48*p**4 - 424*p**3/3 - 160*p**2 + 908. Find c, given that h(c) = 0.
-8, -5, -2, 0
Let z(j) be the second derivative of -j**4/72 - 4*j**3/9 + 20*j**2/3 + 1855*j. Factor z(f).
-(f - 4)*(f + 20)/6
Let v(x) be the first derivative of 5/6*x**3 + 68 - 145/4*x**2 + 0*x. Find p, given that v(p) = 0.
0, 29
Let g(t) be the second derivative of 0*t**2 - 6 - 5/18*t**4 + 1/30*t**5 + 4/9*t**3 - t. Let g(y) = 0. What is y?
0, 1, 4
Let f(h) be the first derivative of h**7/1575 - h**6/450 + h**5/450 + 3*h**2/2 + 37*h - 73. Let c(z) be the second derivative of f(z). Solve c(n) = 0.
0, 1
Let a be (4/(-80)*-15)/(1/4). Determine k so that -k**a + 46 + 3*k**2 - 8 - 38 + 5*k**2 = 0.
0, 8
Let r be (-393)/262*370/(-35). Factor 180/7*n + 30/7*n**3 + 108/7 + 3/7*n**4 + r*n**2.
3*(n + 2)**2*(n + 3)**2/7
What is q in -1/2*q**2 - 287/2*q - 143 = 0?
-286, -1
Let f(u) = -10*u**4 + 12*u**3 + 203*u**2 + 357*u + 167. Let t(x) = x**4 - x**3 - 2*x**2 + 1. Let m(v) = -2*f(v) - 18*t(v). Determine l so that m(l) = 0.
-11, -1, 16
Suppose -335/3*a**4 + 283/3*a**2 + 52/3 + 25/6*a**5 - 262/3*a + 