tive of -29*l + 0 + 1/108*l**4 + 11/27*l**3 - l**2 - 1/540*l**6 - 11/270*l**5. Find g such that n(g) = 0.
-11, -1, 1
Let b = -34 + 54. Factor 16 - 5*h - b + 0*h - 28 + 2*h**2 - 25*h.
2*(h - 16)*(h + 1)
Let p be -6 + 552/(-68) - 2/(-17). Let w be (-116)/p - (7 - -1). Factor -w*v**3 + 2/7*v**5 + 0*v + 0 - 2/7*v**4 + 2/7*v**2.
2*v**2*(v - 1)**2*(v + 1)/7
Suppose 11*s - 24 = 14 + 6. Let l(i) be the first derivative of 1/9*i**6 - 1/2*i**s + 0*i**2 + 0*i**5 + 0*i + 4/9*i**3 + 2. Factor l(y).
2*y**2*(y - 1)**2*(y + 2)/3
Let p(b) be the third derivative of b**5/90 + 17*b**4/12 - 52*b**3/9 - 129*b**2. Let p(m) = 0. What is m?
-52, 1
Let f(q) be the second derivative of q**7/252 - q**6/18 + 7*q**5/120 + q**4/4 + q + 296. Factor f(z).
z**2*(z - 9)*(z - 2)*(z + 1)/6
Let v(c) be the second derivative of -1/14*c**7 + 3/10*c**6 + 0*c**2 + 0*c**3 + 5/4*c**4 + 1 + 27/20*c**5 + 3*c. Factor v(t).
-3*t**2*(t - 5)*(t + 1)**2
Let o be -1 - (-20)/4*(-23)/(-115). Let s(u) be the first derivative of -3/7*u + 1/7*u**3 - 3 + o*u**2. Factor s(z).
3*(z - 1)*(z + 1)/7
Let a(t) be the third derivative of t**6/420 - 412*t**5/105 + 42436*t**4/21 + 244*t**2. Find h, given that a(h) = 0.
0, 412
Suppose 4*r + 96 = 7*r. Let j = r - 27. Factor 3*k**3 + k**5 + k**j - 5*k**3.
2*k**3*(k - 1)*(k + 1)
Determine k, given that 4/11*k + 1/11*k**2 + 3/11 = 0.
-3, -1
Let w(l) = -l**2 - 26*l. Let y be w(-26). Suppose 0 = -y*s - 2*s + 8. Factor 3*r**2 - 5 + 7*r**2 + 0*r**s - r**4 - 4*r**4.
-5*(r - 1)**2*(r + 1)**2
Let n = -97201/154 - -4418/7. Let z = n + 7/22. What is r in z*r**3 - 2/7*r - 4/7 + 6/7*r**2 - 2/7*r**4 = 0?
-1, 1, 2
What is b in 3/7*b**3 - 285/7*b - 12/7*b**2 + 594/7 = 0?
-9, 2, 11
Let r(i) be the second derivative of 0 + 4*i**2 + 4/9*i**3 + 1/54*i**4 - 144*i. Factor r(n).
2*(n + 6)**2/9
Suppose -t + 1 = -3*b, 0 = 2*t + 4*b - 18 + 6. Suppose t = 2*m - 5*w, m - w - 26 = -24. Factor -4/3*k + 4*k**m - 13/3*k**3 + 0 + 2*k**4 - 1/3*k**5.
-k*(k - 2)**2*(k - 1)**2/3
Let y(r) = 15*r**2 - 35. Let b(a) = a**2 + a - 2. Suppose -6*t + 12 = 6*t. Let n(k) = t*y(k) - 10*b(k). Factor n(g).
5*(g - 3)*(g + 1)
Let x(v) = -3*v**5 + 2*v**4 + v**3 + 2*v. Let g(f) = -4*f**5 - 28*f**4 + 172*f**3 - 300*f**2 + 4*f. Let c(l) = -2*g(l) + 4*x(l). Factor c(s).
-4*s**2*(s - 6)*(s - 5)**2
Let l(a) = a**3 - 3*a + 3. Let p be l(2). Factor -p*j**2 - 6*j + 10*j**2 + 19*j**2 - 3*j**2 - 3*j**5 + 15*j**4 - 27*j**3.
-3*j*(j - 2)*(j - 1)**3
Let i(y) be the second derivative of y**6/40 + 27*y**5/8 + 11*y**4 + 136*y. Let i(x) = 0. What is x?
-88, -2, 0
Let r(s) be the first derivative of -56/15*s**3 - 1/15*s**6 + 0*s - 23/10*s**4 - 55 - 16/25*s**5 - 12/5*s**2. Let r(x) = 0. What is x?
-3, -2, -1, 0
Let f(l) be the first derivative of -4/3*l**3 - 85 - 78*l**2 - 152*l. Factor f(o).
-4*(o + 1)*(o + 38)
Let i(p) be the first derivative of -1/6*p**6 + 2/15*p**3 + 12/25*p**5 + 0*p - 9/20*p**4 + 0*p**2 - 75. Factor i(c).
-c**2*(c - 1)**2*(5*c - 2)/5
Let p(w) = -28*w**2 + 4120*w + 4148. Let b(n) = 18*n**2 - 2748*n - 2766. Let v(z) = 8*b(z) + 5*p(z). Factor v(t).
4*(t - 347)*(t + 1)
Suppose 5*c - 199 = 3*u + 783, -c = 3*u - 200. Let a = c + -4135/21. Suppose -50/21 + a*b**3 - 22/21*b**2 + 10/3*b = 0. Calculate b.
1, 5
Let n be 321/(-856) + 30/16. Let x(f) be the second derivative of -n*f**3 + 0 - 3/20*f**5 + 3/4*f**4 + 10*f + 3/2*f**2. Solve x(h) = 0.
1
Factor -8691/2*i - 15/2*i**2 - 1737.
-3*(i + 579)*(5*i + 2)/2
Let o(j) be the third derivative of j**8/336 + 10*j**7/21 + 73*j**6/30 + 47*j**5/30 - 293*j**4/24 - 97*j**3/3 + 311*j**2. Suppose o(d) = 0. Calculate d.
-97, -2, -1, 1
Let z(b) be the first derivative of 0*b - 24 + 7*b**2 + 2/5*b**5 - 7/2*b**4 - 2/3*b**3. Factor z(t).
2*t*(t - 7)*(t - 1)*(t + 1)
Let j(l) be the second derivative of 4/3*l**2 - 1/90*l**5 - 5/27*l**3 - 1/9*l**4 + 0 - 59*l. Factor j(z).
-2*(z - 1)*(z + 3)*(z + 4)/9
Let r(c) = -c**4 - c**2. Let w(a) = 444*a**5 - 17*a**4 + 2*a**4 + 75*a**2 - 48*a - 447*a**5 - 3*a**3. Let l(v) = -3*r(v) - w(v). Solve l(h) = 0 for h.
-4, 0, 1
Let o(h) = -545*h**2 - 1649*h + 2. Let y(u) = -2724*u**2 - 8247*u + 6. Let a(x) = 21*o(x) - 4*y(x). Solve a(b) = 0 for b.
-3, 2/183
Let r = 43 - 39. Let n(p) = r + p**2 + 4*p**2 - 9 - 9*p**2 + 4*p. Let y(a) = a**2 - a + 1. Let x(d) = -3*n(d) - 15*y(d). Factor x(j).
-3*j*(j - 1)
Suppose 0 = -5*g - 25, 11*n - 4*g - 24 = 10*n. Factor -7*u**2 + 4*u**3 + 3*u**n - 3*u**2 - 10*u**3 + u**2.
3*u**2*(u - 3)*(u + 1)
Let s(g) = 6*g**3 + 2*g**2 - 5*g + 5. Let a = 72 + -74. Let u = -41 + 51. Let h(i) = i**3 - i + 1. Let b(f) = a*s(f) + u*h(f). Factor b(o).
-2*o**2*(o + 2)
Let i(q) = q**3 + 3*q**2 - 39*q + 7. Let b be i(-8). Let t be (12/32)/b + 21/28. Factor 3/4*d - t*d**2 - 3/8.
-3*(d - 1)**2/8
Let c = -11414 - -11414. Let f(s) be the third derivative of 1/15*s**5 - 2/3*s**4 + c + 0*s + 0*s**3 - 34*s**2. Factor f(r).
4*r*(r - 4)
Find x such that -416*x**2 + 3911856*x**3 - 3911852*x**3 - 27769 - 29855 + 11956*x = 0.
6, 49
Let d(x) = 18 - 4*x**3 - 5*x - 7 + 11*x**3 - 9*x**2 + 17*x**2. Let a be d(5). Find o, given that -9*o**2 - 7*o**2 + a*o + 4*o**3 - 1049*o = 0.
0, 1, 3
Let p(t) = 9*t**4 + 12*t**3 + 45*t**2 + 9*t + 7. Let o(a) = -8*a**4 - 12*a**3 - 42*a**2 - 10*a - 6. Let v(r) = 7*o(r) + 6*p(r). Factor v(h).
-2*h*(h + 2)**3
Let x(d) = -3*d**4 - 48*d**3 + 87*d**2 + 336*d + 195. Let u(k) = 5*k**4 + 48*k**3 - 86*k**2 - 336*k - 195. Let h(n) = 3*u(n) + 4*x(n). Factor h(t).
3*(t - 13)*(t - 5)*(t + 1)**2
Let z be -1 - 6/(-6)*(1 + 0). Suppose z = -u - 4*u + 25. Factor -u*d**3 - d + d + 9*d**3.
4*d**3
Factor -17630*i + 44482919*i**2 + 3012112 - 18552957 - 44482924*i**2.
-5*(i + 1763)**2
Let v(b) be the second derivative of -102*b + 0*b**3 - 1/210*b**5 + 0*b**2 - 1/63*b**4 + 0. Factor v(x).
-2*x**2*(x + 2)/21
Let j(z) be the third derivative of -7*z**7/15 - 91*z**6/45 + 439*z**5/135 + 145*z**4/27 + 25*z**3/9 - z**2 + 1010*z + 2. Determine q, given that j(q) = 0.
-3, -5/21, 1
Find b such that 135*b**3 + 1759*b**3 - 332*b**3 - 861125 + 2578*b**3 - 1718100*b - 852830*b**2 - 5*b**4 = 0.
-1, 415
Let l(t) be the third derivative of 3955*t**5/24 - 3295*t**4/4 - 5*t**3/3 + 12124*t**2. Suppose l(n) = 0. Calculate n.
-2/3955, 2
Suppose -200 = -z + 2*s + 34, z + s = 240. Let t be -3 + z + -3 - 3. Factor t + 10*u**3 - 229 + 40*u**2 - 5*u**4.
-5*u**2*(u - 4)*(u + 2)
Let a = 239 + -2867/12. Let f(y) be the first derivative of -1/2*y**4 + 2/3*y**3 - 16 - 1/10*y**5 + 0*y + 0*y**2 + a*y**6. Determine n, given that f(n) = 0.
-2, 0, 1, 2
Factor -14/19*m - 88/19 + 2/19*m**2.
2*(m - 11)*(m + 4)/19
Let f(x) be the first derivative of 5*x**4/12 - 140*x**3/3 - 285*x**2/2 - 205*x - 106. Let p(j) be the first derivative of f(j). Factor p(l).
5*(l - 57)*(l + 1)
Let h(i) be the second derivative of i**4/18 + 136*i**3/9 - 284*i**2 - 326*i - 12. Factor h(o).
2*(o - 6)*(o + 142)/3
Let j(q) be the second derivative of -q**4/3 - 12*q**3 + 38*q**2 - 1474*q. Factor j(b).
-4*(b - 1)*(b + 19)
Suppose a + 4*a - 75 = l, a - 41 = -5*l. Suppose -o + a = -3*o - 4*u, 5 = 5*o + u. Factor 8*k**3 + 8*k**o - 4*k**3 + 4*k + 0*k**2.
4*k*(k + 1)**2
Let r(d) be the second derivative of 1/195*d**6 + 4/39*d**3 + 43 - 2*d + 0*d**2 - 3/130*d**5 + 0*d**4. Determine q, given that r(q) = 0.
-1, 0, 2
Let s be ((-1224)/(-1904))/(-9*5/(-525)). Determine d so that 3/2*d**2 - 3/2*d**3 + s*d + 9/2 = 0.
-1, 3
Let t be -23 + 165/(-40)*(-11492)/1989. Factor t + 7/6*h**2 + 1/6*h**3 + 11/6*h.
(h + 1)**2*(h + 5)/6
Let l = -72 + 84. Let m be (-44)/(-3)*(27/l - -6). Factor -6*r**3 + 126*r**5 + r**3 - m*r**5.
5*r**3*(r - 1)*(r + 1)
What is j in -44/3*j**2 - 2/9*j**5 + 10/3*j**4 + 34/3 - 74/9*j + 76/9*j**3 = 0?
-3, -1, 1, 17
Find n, given that -99*n + 78014 - 77966 + 34*n**2 - 3*n**3 + 20*n**2 = 0.
1, 16
Suppose 3*m - 48857 = -n - 48847, 0 = m + 4*n - 18. Factor m - 5/2*u**2 - u - 3/4*u**3.
-(u + 2)**2*(3*u - 2)/4
Suppose -2*k = -179 - 5. Factor -621*o**2 - 2*o**4 - 1048*o**2 - 968 - k*o**3 + 523*o**2 - 2024*o.
-2*(o + 1)**2*(o + 22)**2
Let z(c) be the third derivative of c**5/150 + c**4/30 - c**3/5 - 2152*c**2. Factor z(p).
2*(p - 1)*(p + 3)/5
Let q(l) be the second derivative of -l**4/12 + 2*l**3/3 + 4*l**2 + 15*l. Let p be q(5). Let 0 + 2/5*b - 2/5*b**p + 16/15*b**2 = 0. What is b?
-1/3, 0, 3
Let z(u) be the second derivative 