**v.
r**2*(r + 1)**2*(5*r - 2)
Let l = -41 - -67. Factor 33*m**3 + 3*m**5 - 6*m**2 - 8 - l*m - 17*m + 32 + 7*m - 18*m**4.
3*(m - 2)**3*(m - 1)*(m + 1)
Let y(t) be the first derivative of 10*t**6/3 - 572*t**5/5 - 698*t**4 - 3664*t**3/3 - 528*t**2 + 412. Suppose y(w) = 0. Calculate w.
-2, -2/5, 0, 33
Factor -148/7*k + 2/7*k**3 + 0 - 146/7*k**2.
2*k*(k - 74)*(k + 1)/7
Let b(m) = -6*m**2 + 19*m + 5. Suppose z + 4*l + 6 = 3*z, 5*z = 4*l + 21. Let j(f) = 9*f**2 - 29*f - 7. Let i(n) = z*j(n) + 7*b(n). Solve i(o) = 0 for o.
0, 4
Let m be (48/30)/(2/(-30)). Let a = m - -26. Determine r so that -24*r + 2*r**a + 21*r + r**2 - 2*r**2 = 0.
0, 3
Solve -5/6*u**2 + 5/6*u**4 + 25/6*u + 0 - 25/6*u**3 = 0.
-1, 0, 1, 5
Suppose -2/17*s**2 + 52/17 - 22/17*s = 0. What is s?
-13, 2
Let v = -20/253 + 6/23. Let t(g) be the first derivative of -v*g**2 + 10/33*g**3 + 0*g + 2. Suppose t(k) = 0. What is k?
0, 2/5
Let g = 106 + -103. Let p(b) = -b**3 - b**2 + 8*b + 10. Let t(o) = o**3 + o**2 - 8*o - 9. Let s(h) = g*p(h) + 2*t(h). Factor s(k).
-(k - 3)*(k + 2)**2
Solve 268 + 213 + 421 - 249*w**2 - 208*w + 265*w**2 - 226 = 0.
13/2
Let u = 47 + -104. Let m = u - -288/5. Factor 0*v - m*v**2 + 3/5.
-3*(v - 1)*(v + 1)/5
Factor -3/5*s**3 - 102/5*s**2 - 672/5*s - 1248/5.
-3*(s + 4)**2*(s + 26)/5
Let i(x) be the second derivative of -x**4/30 - 34*x**3/15 + 7*x**2 - 537*x. Factor i(r).
-2*(r - 1)*(r + 35)/5
Let d(p) = -4*p**2 + 96*p - 570. Let s(w) = 4*w**2 - 96*w + 571. Let u(v) = -5*d(v) - 6*s(v). Let u(r) = 0. What is r?
12
Let y be (-1 + 73/75)/(14/(-161)). Let b = 16/25 - y. What is d in 1 - 1/3*d + b*d**3 - d**2 = 0?
-1, 1, 3
Let x(f) be the third derivative of 1/6*f**3 + 1/48*f**5 + 1/12*f**4 + 0*f + 0 + 1/480*f**6 + 19*f**2. Factor x(m).
(m + 1)*(m + 2)**2/4
Let b be 1*5*(-1 + -1). Let h = b - -13. Determine s so that 4*s**2 - 3*s**3 - 4*s**4 - s**3 - h*s + 3*s + 4*s**5 = 0.
-1, 0, 1
Let h(j) be the third derivative of j**8/2016 + j**7/1260 - j**6/180 - j**5/90 - j**2 - 41*j. Factor h(t).
t**2*(t - 2)*(t + 1)*(t + 2)/6
Suppose x = -w + 2, -22*w - 10 = -27*w + x. Let u(y) be the first derivative of 0*y**2 + 4/3*y**3 + w + 0*y. Factor u(l).
4*l**2
Find j, given that 0 + 2/7*j**3 + 2/7*j + 4/7*j**2 = 0.
-1, 0
Let l(q) be the second derivative of -q**8/336 + q**7/84 - q**6/72 - 23*q**3/6 - 16*q. Let g(r) be the second derivative of l(r). Factor g(s).
-5*s**2*(s - 1)**2
Let f be ((-138)/(-4347))/(3/(-54)*-2). Factor -2/7*r - 12/7*r**3 - f*r**5 - 8/7*r**2 - 8/7*r**4 + 0.
-2*r*(r + 1)**4/7
Let o be ((-308)/176)/((-14)/6). Let m(s) be the first derivative of -o*s**4 + 0*s**5 + 0*s - 8 + 0*s**3 + 3/4*s**2 + 1/4*s**6. What is d in m(d) = 0?
-1, 0, 1
Let c be (-47)/(-7) - (-5)/((-70)/(-4)). Solve 4 + f**4 - 3*f - 3*f**4 + f**5 - 3*f**4 + f**2 - 5*f + c*f**3 = 0.
-1, 1, 2
Suppose -g - 5*h - 131 = g, 316 = -5*g - h. Let b be 4 - (-364)/g - (0 - 2). Factor 8/9*c - b*c**2 - 8/9.
-2*(c - 2)**2/9
Determine h, given that 15/2 - 1/4*h**2 + 1/4*h = 0.
-5, 6
Let m(g) = -3*g**3 - 42*g**2 + 8*g + 52. Let d(r) = -3*r**3 - 42*r**2 + 7*r + 50. Let t(q) = 5*d(q) - 4*m(q). Determine l, given that t(l) = 0.
-14, -1, 1
Let q be ((-320)/(-308))/(-16*13/(-728)). Factor -40/11*c**4 - 16/11 - 50/11*c**3 + 20/11*c**2 + q*c - 8/11*c**5.
-2*(c + 2)**3*(2*c - 1)**2/11
Let h(t) be the third derivative of t**9/20160 + t**8/4480 + t**7/3360 - t**4/8 - 4*t**2. Let b(l) be the second derivative of h(l). Factor b(w).
3*w**2*(w + 1)**2/4
Find d such that 0 + 4/11*d**4 - 12/11*d + 10/11*d**3 - 2/11*d**2 = 0.
-2, -3/2, 0, 1
Determine b so that -8/3*b**4 - 4*b + 0 + 6*b**3 + 2/3*b**2 = 0.
-3/4, 0, 1, 2
Let r(l) be the third derivative of -l**5/12 + 5*l**4/8 + 70*l**3/3 - 210*l**2. Factor r(b).
-5*(b - 7)*(b + 4)
Let s(d) = 245*d**3 - 15660*d**2 - 25*d + 15715. Let y(b) = -9*b**3 + 580*b**2 + b - 582. Let a(m) = -2*s(m) - 55*y(m). Let a(p) = 0. What is p?
-1, 1, 116
Solve -3*m + 1/4*m**2 + 35/4 = 0 for m.
5, 7
Let u be 3*(-3)/(-27)*6. Factor -4*j**3 + 33*j**2 - 31*j**u + 2*j**3.
-2*j**2*(j - 1)
Suppose -7*r - 15*r**5 + 5*r**4 - r + 35*r**5 - 19*r**5 + 6*r**3 - 4*r**2 = 0. What is r?
-2, 0, 1
Let j(m) = 5*m**2 - 26*m + 20. Let w(n) = -365*n + 53*n**2 + 11 + 308 - 39 + 17*n**2. Let b(i) = 85*j(i) - 6*w(i). Determine s so that b(s) = 0.
2
Let y(j) = -7*j**3 + j**2 + 3*j + 3. Let n(q) = q**4 - 15*q**3 + 4*q**2 + 7*q + 7. Let f(b) = 2*n(b) - 5*y(b). Factor f(i).
(i + 1)**3*(2*i - 1)
Let w(o) be the third derivative of o**6/60 + 4*o**5/5 - 79*o**4/12 + 18*o**3 + 60*o**2. Suppose w(q) = 0. What is q?
-27, 1, 2
Let y(v) = -v**3 + 7*v**2 - 5*v - 1. Let h be y(6). Factor 385*z - 395*z + 9*z**3 + h*z**2 - 4*z**3.
5*z*(z - 1)*(z + 2)
Factor 2/5*t**4 + 0 - 2/5*t**3 - 12/5*t**2 + 0*t.
2*t**2*(t - 3)*(t + 2)/5
Let x(n) = -8*n**4 + 12*n**3 + 4*n**2 - 72*n - 44. Let u(i) = -i**4 - 2*i**3 - i + 1. Let b(t) = -4*u(t) + x(t). What is o in b(o) = 0?
-1, 3, 4
Let g(r) be the second derivative of -r**5/330 - 7*r**4/132 - 23*r**2/2 + 14*r. Let s(w) be the first derivative of g(w). Factor s(q).
-2*q*(q + 7)/11
Let p = 49 - 47. Factor 16*b**p - 8*b**2 - 11*b**2 - 15*b.
-3*b*(b + 5)
Let v(f) be the second derivative of -49*f + 0 - 1/60*f**6 - 1/24*f**4 - 1/8*f**3 + 7/80*f**5 + 0*f**2. Determine q, given that v(q) = 0.
-1/2, 0, 1, 3
Let z(j) be the third derivative of j**6/900 + 19*j**5/450 + j**4/10 + 123*j**2. Factor z(g).
2*g*(g + 1)*(g + 18)/15
Let y(o) = 0*o**2 - 5*o + 10*o + 1 + o**2. Let i = -69 - -75. Let z(u) = u**2 + 4*u + 1. Let a(l) = i*y(l) - 7*z(l). Factor a(s).
-(s - 1)**2
Let y(f) = -f**3 - 3*f**2 - 3*f - 3. Let u(r) = 7*r**2 + 7*r - r**3 + 0*r**3 + 7 + 3*r**3. Suppose 12 + 72 = -12*t. Let d(w) = t*y(w) - 3*u(w). Factor d(c).
c**3
Suppose -117*p = -48*p. Let t(b) be the third derivative of 5*b**2 + 0*b**3 - 1/6*b**4 + 0*b - 1/15*b**5 + p. Find i, given that t(i) = 0.
-1, 0
Let d(l) = -l - 2. Let u = -59 + 54. Let p be d(u). Factor -1/4*r**2 + 0*r + 1/2*r**p - 1/4*r**4 + 0.
-r**2*(r - 1)**2/4
Let r(o) be the second derivative of -19/3*o**3 + 17/3*o**4 - 9/10*o**5 + 0 - 6*o**2 + 45*o. Factor r(d).
-2*(d - 3)*(d - 1)*(9*d + 2)
Let y(t) = -t**3 + 7*t**2 - 5*t - 2. Let g be y(6). Let 4 - 4*r**2 - g*r + 2 + 2 = 0. Calculate r.
-2, 1
Factor 0*c**5 + 1584*c**3 + 4*c**5 + 132*c**4 - 300*c**4 + 3872*c**2.
4*c**2*(c - 22)**2*(c + 2)
Factor 174/5*m - 2/5*m**2 + 0.
-2*m*(m - 87)/5
Let c be -1 - 2 - 22/(-2). Suppose c*h = -f + 11*h + 12, 5*f = -h + 12. Find q such that 0*q + 0 - 5/2*q**f + 5/2*q**2 = 0.
0, 1
Let x(n) be the third derivative of -n**8/1008 + n**7/630 + n**6/360 - n**5/180 - 137*n**2. Let x(r) = 0. What is r?
-1, 0, 1
Let r be (8*(-10)/(-4035))/((-6)/(-65)). Let d = r + 2/269. Factor -2/9*i**2 + 4/9 - d*i.
-2*(i - 1)*(i + 2)/9
Let v be (2/3)/(810/(-36) + 23). Factor -2*z**4 + 0*z - v*z**2 + 0 - 10/3*z**3.
-2*z**2*(z + 1)*(3*z + 2)/3
Let -43 + 18*p - p**2 - 24 - 14 = 0. What is p?
9
Factor -5*s**3 - 15*s**2 + 15241 - 27*s - 15254 + 4*s**3.
-(s + 1)**2*(s + 13)
Let i(w) be the second derivative of 0 + 27*w - 152/15*w**6 + 17/3*w**4 - 8*w**2 - 117/10*w**5 - 15/7*w**7 + 12*w**3. Solve i(l) = 0.
-2, -1, 2/9, 2/5
Let c(b) be the third derivative of b**8/168 + 4*b**7/105 + 2*b**2 + 39. Let c(p) = 0. Calculate p.
-4, 0
Let k(z) be the first derivative of 4*z**5/5 + 4*z**4 + 8*z**3/3 - 8*z**2 - 12*z + 47. Solve k(y) = 0.
-3, -1, 1
Let c(r) = -7*r**3 - r**2 - 2*r - 2. Let q be c(-1). Suppose -4 = -5*h + q. Let -2/5*i**h - 2/5*i**3 + 2/5*i + 2/5 = 0. What is i?
-1, 1
Let j(x) be the second derivative of 0 + 1/5*x**2 + 12*x + 1/30*x**4 - 2/15*x**3. Factor j(h).
2*(h - 1)**2/5
Let o(g) be the second derivative of g + 1/10*g**5 + 0*g**2 + 0 + 1/35*g**6 + 5/42*g**4 + 1/21*g**3. Determine y so that o(y) = 0.
-1, -1/3, 0
Factor 2/7*d**4 + 32/7 + 74/7*d**2 - 24/7*d**3 - 12*d.
2*(d - 8)*(d - 2)*(d - 1)**2/7
Let g(d) be the third derivative of -5*d**8/672 + 3*d**7/35 + 43*d**6/240 - 3*d**5/4 + d**4/3 - 624*d**2. Solve g(n) = 0 for n.
-2, 0, 1/5, 1, 8
Factor -22/9 - 2/9*f**3 + 2/9*f + 22/9*f**2.
-2*(f - 11)*(f - 1)*(f + 1)/9
Let a(i) = i**2 + i + 1. Let d(f) = 5*f**2 + 89*f + 485. Let r(n) = -a(n) + d(n). Factor r(q).
4*(q + 11)**2
Let m(g) be the third derivative of 7/60*g**6 - 1/168*g**8 + 0*g**4 + 0*g**3 - 2/105*g**7 - 2/15*g**5 - 28*g**2 + 0*g + 0