**4 + 0*n**3 - 53*n**2 + 7/90*n**5 + 0 + 0*n - 1/180*n**6. Determine x so that j(x) = 0.
0, 7
Suppose -5*g + 15 = 0, -54*g = -z - 51*g + 1021. Let w = -1027 + z. Factor 25/6*o**5 + 92/3*o**w + 8/3*o**2 - 16/3 - 56/3*o - 65/3*o**4.
(o - 2)**3*(5*o + 2)**2/6
Let m(u) be the third derivative of u**6/780 - u**5/195 - 7*u**4/156 - 4*u**3/39 - u**2 + 148. Factor m(z).
2*(z - 4)*(z + 1)**2/13
Let w(o) = 240*o**2 + 19655*o + 1391925. Let i(b) = 17*b**2 + 1404*b + 99423. Let a(l) = 85*i(l) - 6*w(l). What is q in a(q) = 0?
-141
Let q(y) be the third derivative of -2/3*y**4 + 1/270*y**5 + 0 + 0*y + 71/27*y**3 + 152*y**2. Suppose q(b) = 0. Calculate b.
1, 71
Find k such that 56/9*k**2 - 16/3*k**3 - 52/9 + 16/3*k - 4/9*k**4 = 0.
-13, -1, 1
Determine q, given that 35*q + 754 + 350 - 504 - 5*q**2 = 0.
-8, 15
Factor -518*c**2 - 837218/5 + 839806/5*c + 2/5*c**3.
2*(c - 647)**2*(c - 1)/5
Let a(x) be the second derivative of x**5/80 + 353*x**4/48 + 10325*x**3/8 - 31329*x**2/8 + 399*x. Suppose a(b) = 0. Calculate b.
-177, 1
Suppose -5*n + 413 = 388. Let b(g) be the second derivative of -8*g + 0*g**4 + 5/3*g**3 - 1/2*g**n - 5/2*g**2 + 0 + 1/6*g**6. Factor b(q).
5*(q - 1)**3*(q + 1)
Let h be ((1 - 0)/(-3))/((-20)/1320). Let n(f) = -f - 3. Let j be n(-5). Find t, given that t**j + 5*t**3 + 17 + 15*t - 16*t**2 - h = 0.
1
Let c(f) be the first derivative of 11*f**4 - 22*f**3 + 44*f**2 - 28*f**4 + 21 + 18*f**4 - 272*f - 6*f**3 + 100*f**2. Factor c(m).
4*(m - 17)*(m - 2)**2
Let a = -911 + 1609. Suppose 710 = 3*z + a. Factor -4/3*l**5 + 0 + 0*l + 8/3*l**2 - 20/3*l**3 + 16/3*l**z.
-4*l**2*(l - 2)*(l - 1)**2/3
Let g = 11 - 3. Suppose 0 = -3*i - 2*f + 4, 2*i + 4 = 2*f + 20. Let -g*j + 2*j**2 - i*j**2 - 10*j + 16*j = 0. What is j?
-1, 0
Let g = 256 - 98. Let c be (-2 - (-49)/28) + g/120. Factor 0 - 4/15*j - c*j**3 - 2/5*j**4 - 14/15*j**2.
-2*j*(j + 1)**2*(3*j + 2)/15
Suppose -14473267453/3 - 2437*o**2 + 5938969*o + 1/3*o**3 = 0. Calculate o.
2437
Let c(k) = -k**2 + 8*k + 30. Let h be c(10). Find r such that 16*r**4 - 13*r**5 + 2*r**5 - 10*r**3 + 8*r**2 + 7*r**5 - h*r**3 = 0.
0, 1, 2
Determine b so that -7/5*b**4 + 191/5*b**3 - 18*b + 363/5*b**2 - 9/5*b**5 + 0 = 0.
-3, 0, 2/9, 5
Let w(d) be the second derivative of -d**4/54 - 10*d**3/27 - 8*d**2/3 - 9*d - 22. Factor w(j).
-2*(j + 4)*(j + 6)/9
Factor -26*m**3 - 74/3*m + 0 - 2/3*m**4 - 50*m**2.
-2*m*(m + 1)**2*(m + 37)/3
Let d be (15/(-6))/5*12/(-24). Let l(h) be the second derivative of 1/10*h**6 + 0*h**3 + 0*h**2 + 15*h + d*h**4 - 3/10*h**5 + 0. Find m such that l(m) = 0.
0, 1
Let f(l) be the first derivative of -l**6/2 + 351*l**5/5 - 13689*l**4/4 + 59319*l**3 + 458. Determine h, given that f(h) = 0.
0, 39
Let w(n) be the second derivative of -3*n**5/140 + 19*n**4/14 + 79*n**3/14 + 60*n**2/7 + 838*n + 2. Factor w(u).
-3*(u - 40)*(u + 1)**2/7
Let f(q) = 2*q**3 + 55*q**2 + 819*q + 3168. Let g(u) = 5*u**2 - u. Let d(l) = -2*f(l) - 6*g(l). Find x, given that d(x) = 0.
-12, -11
Let d(j) be the first derivative of -5*j**6/2 + 2*j**5 + 60*j**4 + 130*j**3 + 175*j**2/2 + 926. Suppose d(v) = 0. Calculate v.
-7/3, -1, 0, 5
Let r(i) be the first derivative of 12 + 0*i**2 - 2/9*i**3 + 1/9*i**4 - 15*i. Let b(x) be the first derivative of r(x). Factor b(m).
4*m*(m - 1)/3
Let f(z) be the third derivative of 0 + 0*z + 0*z**3 - 1/180*z**6 + 24*z**2 + 0*z**5 + 1/36*z**4. What is l in f(l) = 0?
-1, 0, 1
Let r(q) be the third derivative of 0 - 1/1512*q**8 + 0*q**4 + 1/270*q**5 - 177*q**2 - 1/945*q**7 + 0*q**3 + 1/540*q**6 + 0*q. Factor r(p).
-2*p**2*(p - 1)*(p + 1)**2/9
Find m, given that 18648*m + 536648/9 + 2/9*m**4 + 15194/9*m**2 + 36*m**3 = 0.
-74, -7
Let f(d) be the first derivative of -d**4/10 + 14*d**3/3 + 74*d**2/5 - 3931. Solve f(l) = 0 for l.
-2, 0, 37
Let c = 224968/3 - 74989. Factor -1/3*w + c*w**4 + 0 + w**2 - w**3.
w*(w - 1)**3/3
Suppose 352 - 200 = 38*n. Factor -80/3 - 112/3*d + n*d**2.
4*(d - 10)*(3*d + 2)/3
Find a such that -461 + 84*a**4 + 1295*a**3 - 323 - 4722*a + 1166*a + 3148*a**2 - 187*a**3 = 0.
-7, -4/21, 1
Suppose -5*t = 3*v - 2267, 0 = -3*v - 73*t + 70*t + 2271. Let r be (-8 - v/(-90)) + (-3)/30. Factor 2/3 - s**2 + 1/3*s**3 + r*s**4 - 1/3*s.
(s - 1)**2*(s + 1)*(s + 2)/3
Factor -45/4*z**2 + 27/2*z + 0 + 3/4*z**4 - 3*z**3.
3*z*(z - 6)*(z - 1)*(z + 3)/4
Solve 285 - 371 - 5*p**2 - 304 + 205*p = 0.
2, 39
Let l(r) be the first derivative of r**7/252 + r**6/90 - r**5/10 + 7*r**4/36 - 5*r**3/36 + 4*r + 98. Let q(k) be the first derivative of l(k). Factor q(v).
v*(v - 1)**3*(v + 5)/6
Factor 2/11*y**3 + 666/11*y**2 - 672/11*y - 1336/11.
2*(y - 2)*(y + 1)*(y + 334)/11
Suppose -162*u = 3*q - 164*u - 8, -5*q - 4*u = -6. Suppose 2*o + 11*z = 15*z + 6, 3*z = -q*o + 6. Solve 2/3*a**2 - 5/3*a**4 + 1 + 8/3*a**o - 8/3*a = 0 for a.
-1, 3/5, 1
Let z(x) = 2*x**2 - 1851*x + 430572. Let t(l) = -2*l**2 + 1850*l - 430568. Let s(i) = 5*t(i) + 6*z(i). Factor s(m).
2*(m - 464)**2
Let b(f) be the third derivative of -2/105*f**7 - 3/10*f**6 - 1/3*f**4 + 3/5*f**5 + 4*f + 0 + 1/28*f**8 + 0*f**3 + 2*f**2. Determine q so that b(q) = 0.
-2, 0, 1/3, 1
Let u(n) = -48*n**3 + 285*n**2 - 286*n + 1. Let p(v) = -50*v**3 + v**2 + 1. Let c(z) = p(z) - u(z). Factor c(s).
-2*s*(s - 1)*(s + 143)
Let c(t) = 11 - 8 + t**2 - 2*t + t**2. Let s be c(1). Factor 5*a - 14*a**2 - a**s - 2*a - 2*a**3 + 11*a**2 + 3.
-3*(a - 1)*(a + 1)**2
Factor 6390784/3 + 4/3*z**2 + 10112/3*z.
4*(z + 1264)**2/3
Factor 7*p**4 + 1/2*p**5 + 53/2*p**3 + 18*p + 0 + 38*p**2.
p*(p + 1)*(p + 2)**2*(p + 9)/2
Let -122*l**2 + 14*l**4 - 106*l**2 + l**4 - 173*l**2 - 394*l**2 + 3852*l - 1404 - 156*l**3 = 0. Calculate l.
-6, 2/5, 3, 13
Let z(h) = -4*h - 13. Let r be z(-4). Factor 18*m + 4*m + 4*m**r - 36*m**2 + 31*m + 3*m.
4*m*(m - 7)*(m - 2)
Let u(w) be the first derivative of 3/5*w**5 + 9/2*w**4 - 11 + 12*w + 18*w**2 + 13*w**3. Find o such that u(o) = 0.
-2, -1
Solve 0 + 0*r - 86/3*r**3 - 1/3*r**5 - 15*r**4 + 0*r**2 = 0 for r.
-43, -2, 0
Let r = 51611 + -258052/5. Solve r*x**2 + 0 - 12/5*x = 0 for x.
0, 4
Let b(m) be the first derivative of m**6/6 + 5*m**5 + 107*m**4/4 + 143*m**3/3 + 30*m**2 + 1234. Factor b(v).
v*(v + 1)**2*(v + 3)*(v + 20)
Let i(r) be the second derivative of 15*r**7/14 + 4*r**6/3 - 163*r**5/4 - 375*r**4/2 - 770*r**3/3 + 100*r**2 - 11*r + 2. Determine u, given that i(u) = 0.
-2, 1/9, 5
Let q be 12/(-12)*(-2 + 38 + -3). Let c(u) = -2*u**2 - 68*u - 62. Let a be c(q). Suppose 3/4*p**2 + 1/2*p**3 + 0*p - 1/4*p**a + 0 = 0. What is p?
-1, 0, 3
Let b(q) be the third derivative of 2/15*q**5 - 64/3*q**3 + 2*q + 8/3*q**4 + 99*q**2 + 0 - 1/30*q**6. Find z such that b(z) = 0.
-4, 2, 4
Let j(o) be the third derivative of o**8/840 - 29*o**7/175 + 141*o**6/20 - 99*o**5/50 - 26136*o**4/5 - 431244*o**3/5 - 2179*o**2. Factor j(i).
2*(i - 33)**3*(i + 6)**2/5
Factor -2*u**5 + 70814*u - 27040*u**2 - 72839*u**4 - 13180*u + 72687*u**4 - 3744*u**3 + 12670*u.
-2*u*(u - 2)*(u + 26)**3
Let g(d) be the second derivative of d**5/140 - 13*d**4/6 - 247*d**3/14 - 279*d**2/7 + 8515*d. Factor g(b).
(b - 186)*(b + 1)*(b + 3)/7
Let j(r) = 2*r**2 + 12*r - 17. Let l be j(-14). Let d = l + -2689/13. Factor 0*g + 8/13 - d*g**2.
-2*(g - 2)*(g + 2)/13
Let i be (1 - -5) + 3/(1 - -2). Suppose -b = v + 2, -2*v = -i*v - 20. Solve -198*d**b + 60*d + 74*d**2 + 72*d**2 - 8 = 0 for d.
2/13, 1
Let h(p) be the third derivative of 0 + 4/7*p**4 + 0*p + 2/35*p**5 + 64/21*p**3 + 1/420*p**6 + 117*p**2. Factor h(j).
2*(j + 4)**3/7
Let r(b) be the third derivative of -b**7/630 - b**6/90 + 2*b**4/9 + 11*b**3 + 32*b**2. Let p(g) be the first derivative of r(g). What is c in p(c) = 0?
-2, 1
Determine m so that 379*m - 348*m**2 + 345*m**2 - 3*m**3 - 379*m = 0.
-1, 0
Let b(f) be the first derivative of -1/3*f**3 - 1 + f + 3/2*f**2 - 1/4*f**4. Let a(o) = o**3 + 2*o**2 - 4*o - 2. Let m(q) = -4*a(q) - 6*b(q). Factor m(y).
2*(y - 1)**2*(y + 1)
Find x such that -959*x + 681 - 2612 + 2432*x + 144*x**3 + 1983*x + 1516*x**2 + 4*x**4 - 3189 = 0.
-16, -5, 1
Let g be (80/100)/(7/35). Let b(z) be the third derivative of 0*z**3 + 0 - 14*z**2 + 0*z + 1/204*z**g + 1/510*z**5. Let b(y) = 0. Calculate y.
-1, 0
Let l(z) be the first derivative of -z**4/48 + 29*z**3/24 + 134*z + 55. Let y(w) be the first derivative of l(w). Suppose y(j) = 0. What is j?
0, 29
Suppo