-2606. Let a(t) be the first derivative of -2/15*t**3 + 1/10*t**g + 2/5*t - 1/20*t**4 - 6. Factor a(x).
-(x - 1)*(x + 1)*(x + 2)/5
Let r be ((-1)/5)/((-5)/25). Let d be (-77)/(-33) + (-1)/r. Factor 4/3*n**2 - 4/3*n**4 + 4/3*n + 0 - d*n**3.
-4*n*(n - 1)*(n + 1)**2/3
Let o(w) be the third derivative of -w**6/40 + 11*w**5/10 - 111*w**4/8 + 45*w**3 - 3*w**2 + 13. Factor o(f).
-3*(f - 15)*(f - 6)*(f - 1)
Let y = 311 + -283. Factor -y*q + 18*q**3 + 59*q**2 - 43*q**2 - 2*q**3 + 8.
4*(q + 2)*(2*q - 1)**2
Let l be -2 - (-33)/15 - 4*(-2096)/(-42240). Let q(g) be the third derivative of 32*g**2 + 0*g**5 + 0 + 0*g + 0*g**3 + 0*g**4 + l*g**6. What is m in q(m) = 0?
0
Let x = -158 + 162. Factor -4*w**2 + 63*w - 36 - x*w**3 - 17*w**2 - 15*w + 7*w**3.
3*(w - 3)*(w - 2)**2
Let h be ((-120)/(-360))/((-3)/(-16)). Let l = -3258 + 29360/9. Determine x, given that 10/9*x**3 + h*x**2 - l*x + 4/3 = 0.
-3, 2/5, 1
Let y(p) = -5*p**2 - 27*p + 3 + 2 - 3 - 12*p. Let g(h) = 66*h**2 + 507*h - 27. Suppose 251 = -o + 249. Let t(k) = o*g(k) - 27*y(k). Factor t(j).
3*j*(j + 13)
Let r(o) = 3*o**4 - o**3 - 2*o**2 + o - 1. Let d(x) = -16*x**4 - 11*x**3 + x**2 + 20*x + 24. Let m(i) = d(i) + 4*r(i). Solve m(g) = 0.
-2, -1, 5/4
Solve 30/7*k**2 + 2/7*k**3 + 2*k - 4/7 - 10/7*k**4 = 0.
-1, 1/5, 2
Let o = 13 + -4. Let j = 12 - o. Find u, given that -2*u**4 - 1 - 6*u**3 - 9*u**2 - u**j + 21*u - 26*u = 0.
-1, -1/2
Let c be 1351/(-1960) + (45/21)/3. Let h(l) be the first derivative of 3/32*l**4 - 3/16*l**2 - c*l**5 + 24 + 1/24*l**3 + 0*l. Factor h(b).
-b*(b - 3)*(b - 1)*(b + 1)/8
Let q(h) be the third derivative of -h**8/42 - 506*h**7/105 + 901*h**6/30 - 233*h**5/3 + 649*h**4/6 - 260*h**3/3 - 547*h**2. Find k such that q(k) = 0.
-130, 1/2, 1
Solve 1/3*r**4 + 49/3*r + 139*r**2 - 418/3 - 49/3*r**3 = 0 for r.
-1, 1, 11, 38
Solve 900 + 630*p + 54*p**2 - 50/3*p**3 + 2/3*p**4 = 0 for p.
-3, -2, 15
Let s(f) be the first derivative of -f**4/5 - 4*f**3 + 66*f**2/5 - 68*f/5 + 1174. Factor s(x).
-4*(x - 1)**2*(x + 17)/5
Let c = 2462092393831/10265 + -239853131. Let v = c + -2/2053. Factor 0*i + 0 - v*i**2.
-2*i**2/5
Suppose -g - 4*c - 48 = -5*g, -g - c = -2. Determine w so that 8*w**2 + 12 - g*w + 2*w**3 + 0*w - 9*w - 6*w = 0.
-6, 1
Factor -4*h**3 + 4*h**2 + 11918*h + 11678*h + 11800*h - 35136*h + 252.
-4*(h - 9)*(h + 1)*(h + 7)
Let f(k) = 42 + 3*k**2 + 820*k - 1711*k + 842*k. Let g(a) = 65*a**2 - 1080*a + 925. Let t(o) = 45*f(o) - 2*g(o). Find x, given that t(x) = 0.
1, 8
Let u be ((-2)/(-6))/(1/15). Let p = -231 - -235. Factor 6*f**p + 4 + 2*f**3 - 22*f**2 - 12 + 6*f - 2*f**u + 18*f.
-2*(f - 2)*(f - 1)**3*(f + 2)
Let x(v) be the third derivative of -v**6/960 - 23*v**5/240 - 235*v**4/64 - 75*v**3 - 241*v**2. Factor x(t).
-(t + 15)**2*(t + 16)/8
Let q = 328 - 252. Factor -45 - 23*f**2 - 10*f**3 - 17*f**2 + 5*f**4 + 14*f + q*f.
5*(f - 3)*(f - 1)**2*(f + 3)
Let n(r) = -85*r**2 - 1540*r - 1565. Let t(q) = -3*q**2 - 57*q - 58. Let k(w) = 2*n(w) - 55*t(w). Suppose k(o) = 0. What is o?
-1, 12
Determine u, given that 0 + 100/7*u**2 - 4/7*u**4 + 200/7*u - 108/7*u**3 + 4/7*u**5 = 0.
-5, -1, 0, 2, 5
Let s(n) be the third derivative of -n**5/300 - 97*n**4/40 - 29*n**3/3 - 3*n**2 - 352. Find m, given that s(m) = 0.
-290, -1
Let n(o) be the third derivative of o**7/945 - 11*o**6/270 - 23*o**5/270 + 916*o**2. Determine k so that n(k) = 0.
-1, 0, 23
Let r(f) be the second derivative of 0*f**2 - 2 + 1/315*f**7 + 4/75*f**5 - 1/5*f**3 + 121*f + 1/15*f**4 - 2/75*f**6. Suppose r(s) = 0. Calculate s.
-1, 0, 1, 3
Let d(k) be the second derivative of -3*k**5/100 + 13*k**4/20 + 23*k**3/5 + 48*k**2/5 - 993*k. Factor d(z).
-3*(z - 16)*(z + 1)*(z + 2)/5
Let k(f) be the third derivative of 7*f**5/120 - 1637*f**4/24 - 78*f**3 - 4104*f**2. Let k(o) = 0. Calculate o.
-2/7, 468
Let u(q) be the second derivative of -q**4/28 - 135*q**3/14 + 204*q**2/7 - 37*q - 14. Solve u(d) = 0 for d.
-136, 1
Factor 2*u**3 + 8*u**2 - 16 - 8*u**4 - 8*u + 12*u**2 - 5*u**5 + 0*u**3 - 10*u**5 + 17*u**5.
2*(u - 2)**3*(u + 1)**2
Let f(t) be the second derivative of -5*t**4/72 - 1595*t**3/6 - 1526415*t**2/4 - 2986*t. Factor f(q).
-5*(q + 957)**2/6
Let y = 219/1001 + 125/4004. What is z in -23/4*z + 0 - y*z**2 = 0?
-23, 0
Suppose 0 = 4*h + w - 179, 4*w = -30*h + 26*h + 176. Let q(g) = -g + 6. Let i be q(0). Factor -i*u + h*u**2 - 43*u**2 + 2 + 2.
2*(u - 2)*(u - 1)
Let r(n) be the first derivative of n**6/3 - 28*n**5/5 - 66*n**4 - 204*n**3 - 189*n**2 - 856. Determine g so that r(g) = 0.
-3, -1, 0, 21
Let d = 102569 - 717957/7. Factor 24/7*s + 2/7*s**2 - d.
2*(s - 1)*(s + 13)/7
Let 285/2*z - 33/2*z**2 - 219 = 0. What is z?
2, 73/11
Let s(u) be the third derivative of 2/105*u**7 + 0 + 23/15*u**5 + 8*u**3 + 4/15*u**6 + 110*u**2 + 0*u + 14/3*u**4. Suppose s(g) = 0. Calculate g.
-3, -2, -1
Let g(j) be the third derivative of j**6/720 + 23*j**5/120 - 35*j**4/72 - 871*j**2. Suppose g(r) = 0. Calculate r.
-70, 0, 1
Factor 1/3*m**5 + 14/3*m**4 + 19*m**3 + 0 - 112/3*m + 40/3*m**2.
m*(m - 1)*(m + 4)**2*(m + 7)/3
Let d = -361015 + 1083061/3. Factor -44/3*n - 2*n**2 + 2/3*n**4 + 32/3 + d*n**3.
2*(n - 1)**2*(n + 2)*(n + 8)/3
Let t be (-5)/(-2)*-2 - (-45 + 34). Determine v, given that -3*v**3 - 891*v**5 + t*v**2 + 888*v**5 + 12*v**4 - 12*v**3 = 0.
0, 1, 2
Suppose 0 = -5*h - 4*i + 20, -12286*h + 12283*h = 2*i - 12. Solve 4*n**h - 44/5*n**3 + 44/5*n - 12/5*n**2 - 8/5 = 0 for n.
-1, 1/5, 1, 2
Let g(x) = 6058*x - 6056. Let k be g(1). Factor 5/2 + 29/6*i - 1/6*i**3 + 13/6*i**k.
-(i - 15)*(i + 1)**2/6
Let d(s) = 8*s**2 - 1737*s + 620951. Let w(y) = y**2 - 23*y + 1. Let q(h) = -3*d(h) + 21*w(h). Let q(l) = 0. Calculate l.
788
Let t(y) be the second derivative of y**5/60 + 17*y**4/36 + 7*y**3/3 - 172*y - 1. Factor t(i).
i*(i + 3)*(i + 14)/3
Let p(v) = 8*v**2 + 8*v + 12. Let j(d) be the third derivative of d**5/60 + d**4/24 + d**3/6 + 18*d**2. Let w(f) = 12*j(f) - p(f). Factor w(a).
4*a*(a + 1)
Let f(z) = 9*z**2 + 17*z - 126. Let p(u) = -17*u**2 - 31*u + 258. Let d(y) = -7*f(y) - 4*p(y). Factor d(v).
5*(v - 5)*(v + 6)
Let s(q) be the second derivative of 1/22*q**5 + 0*q**2 + 0*q**3 + 40*q + 25/33*q**4 - 8/165*q**6 + 0 + 1/231*q**7. Factor s(m).
2*m**2*(m - 5)**2*(m + 2)/11
Suppose -4*w + w - 4*k = 38, -w - 3*k = 31. Factor 2/9*g**w + 224/9*g + 6272/9.
2*(g + 56)**2/9
Suppose 4*h - 58 + 6 = 0. Suppose -7*w = -2*w - x - 19, -x = -3*w + h. Factor -c + 0*c**3 + 0*c - c**3 - c**5 + w*c**3.
-c*(c - 1)**2*(c + 1)**2
Suppose 11*t = -46*t + 285. Suppose -105*l**4 + 29*l**5 - 34*l**3 + 23*l**3 - 34*l**3 - 109*l**t - 15*l**4 = 0. Calculate l.
-3/4, 0
Let u(v) be the third derivative of -v**8/1344 - v**7/420 + 7*v**6/160 + 31*v**5/120 + 5*v**4/12 - 397*v**2 - 3*v. Solve u(j) = 0.
-4, -2, -1, 0, 5
Let f(n) be the first derivative of 3*n**4/32 - 55*n**3/48 + 3*n**2/8 - 196*n + 12. Let i(r) be the first derivative of f(r). Factor i(p).
(p - 6)*(9*p - 1)/8
Let z be 4/((-11)/176 + 825/1936). Find j, given that 43/2*j - j**2 + z = 0.
-1/2, 22
Let x(n) be the third derivative of -18*n**2 - 15/4*n**4 + 46/3*n**3 + 0*n - 6 - 1/30*n**5. Factor x(o).
-2*(o - 1)*(o + 46)
Let x(z) be the second derivative of -z**4/96 - 19*z**3/16 - 53*z**2/4 + 3363*z. Determine q so that x(q) = 0.
-53, -4
Let x be (-1)/2*(0 - 2)*32*(-10)/(-80). Find w such that -4/5*w**5 + w**2 - 23/5*w**x + 0 + 0*w - 14/5*w**3 = 0.
-5, -1, 0, 1/4
Let g = 8782/55 - 22826/165. What is u in g*u**2 + 64/3*u - 4*u**4 - 64/3 - 16/3*u**3 = 0?
-2, 2/3, 2
Let z(f) be the first derivative of -6*f**5 - 1990656*f + 360*f**4 + 207360*f**2 + 1/24*f**6 - 11520*f**3 + 113. Solve z(l) = 0 for l.
24
Let i = -9447 + 66147/7. Let r(d) be the first derivative of 20 + 12/7*d - d**3 - i*d**2. Factor r(u).
-3*(u + 2)*(7*u - 2)/7
Let m = 257 - 261. Let q(n) = n**3 + 11*n**2 - 5*n + 5. Let k(v) = v**3 + v**2 + 1. Let y(b) = m*k(b) + q(b). Factor y(f).
-(f - 1)**2*(3*f - 1)
Solve -46305/2*l**2 - 1146 + 243/2*l**3 - 10308*l = 0.
-2/9, 191
Let 21/4*p**2 - 120*p + 0 = 0. What is p?
0, 160/7
Factor 42*o - 506*o**2 - 50*o + 8*o**3 + 11*o + 506 - 11*o.
2*(o - 1)*(o + 1)*(4*o - 253)
Let w(s) be the first derivative of 2*s**6/15 - 54*s**5/25 + 61*s**4/5 - 128*s**3/5 + 4*s**2 + 30*s + 1429. Find h such that w(h) = 0.
-1/2, 1, 3, 5
Let i(y) = -y**2 - y. Let k(l) = -6*l**