**i.
t**2*(t - 4)*(t - 2)*(t - 1)
Let y = 123 - 115. Factor -6*m**3 - m**5 - y*m**3 - m + 16*m**3.
-m*(m - 1)**2*(m + 1)**2
Let i(b) be the third derivative of -b**5/330 + 265*b**4/132 - 262*b**3/11 - 2*b**2 - 2598*b. Factor i(k).
-2*(k - 262)*(k - 3)/11
Let c(g) be the second derivative of -g**6/6 - 9*g**5/2 + 5*g**4/4 + 140*g**3/3 + 90*g**2 - 187*g + 3. What is m in c(m) = 0?
-18, -1, 2
Let k be 78/30 + -3 + 51/15. Factor 3*g + 5*g + 26*g**3 - g**5 - 23*g**k - g**4 - 6*g + 5*g**2.
-g*(g - 2)*(g + 1)**3
Let c(a) be the third derivative of -a**7/420 - 2*a**6/45 - 19*a**5/60 - a**4 - 14*a**3/3 - a**2 - 13*a. Let j(m) be the first derivative of c(m). Factor j(l).
-2*(l + 1)*(l + 3)*(l + 4)
Let q(u) be the second derivative of -25*u**4/2 - 109*u**3/2 - 27*u**2 + 2*u - 284. Suppose q(x) = 0. Calculate x.
-2, -9/50
Suppose -2*m + 4 = 2*s, 45*s - 48*s + 3*m - 6 = 0. Determine r so that 0*r**3 + 4/3*r**4 - 4/3*r**2 + 0*r + s = 0.
-1, 0, 1
Factor 818*s + 111*s**2 - 112*s**2 - 802*s - 48.
-(s - 12)*(s - 4)
Let t(j) be the first derivative of j**7/42 - j**6/30 - j**5/5 + j**4/3 - 50*j - 3. Let a(d) be the first derivative of t(d). Factor a(w).
w**2*(w - 2)*(w - 1)*(w + 2)
Find b such that 845883/2*b - 1593/4*b**2 - 149721291 + 1/8*b**3 = 0.
1062
Suppose 0 = -4*i - i - 30. Let m(n) = n**3 + 6*n**2 - 2*n. Let f be m(i). What is c in -c**2 - 2*c + f + c**2 + c**2 - 3*c**2 = 0?
-3, 2
Let t(m) be the first derivative of -m**3/3 - 57*m**2/2 - 260*m - 3294. Factor t(z).
-(z + 5)*(z + 52)
Factor -52900 - 50*l**2 + 72*l**2 - 920*l - 17*l**2 - 9*l**2.
-4*(l + 115)**2
Let l(f) be the second derivative of -9/100*f**5 + 0*f**2 + 0 - 2/5*f**3 + 72*f + 13/20*f**4. Factor l(t).
-3*t*(t - 4)*(3*t - 1)/5
Let -27/2*f + 135/4 + 3/4*f**2 = 0. Calculate f.
3, 15
Let n = -380770 + 380770. Let q = 40 + -119/3. Solve -q*z + n - 1/6*z**3 + 1/2*z**2 = 0 for z.
0, 1, 2
Let i be 9/((-27)/15) + 280/36. Let v(l) be the first derivative of i*l**3 - 5/6*l**4 + 19 + 5/3*l - 10/3*l**2. Factor v(m).
-5*(m - 1)**2*(2*m - 1)/3
Suppose -4*i + 36 = 4*s, -3*s + 695 = 4*i + 666. Find k such that -4/3 - 14/3*k**2 + i*k**3 - 2/9*k**4 + 38/9*k = 0.
1, 6
Let n(j) = -16*j**2 - 4778*j - 1152088. Let a(c) = 3*c**2 + 956*c + 230416. Let i(v) = -22*a(v) - 4*n(v). Suppose i(u) = 0. What is u?
-480
Let n(t) = -363*t**2 + 6923*t - 182. Let k(j) = j**2 - j - 30. Let u(h) = k(h) - n(h). Suppose u(f) = 0. What is f?
2/91, 19
Factor -11825193 - 2942*a**2 - 409630*a - 10274*a + 34*a**3 + 998*a**2 - 37*a**3 - 18407895.
-3*(a + 216)**3
Let w = 194 + -181. Suppose 0*x**3 - w*x - 2707*x**2 + x + x**3 + 2703*x**2 = 0. Calculate x.
-2, 0, 6
Let z(h) = h**3 + 4 - 9*h - 17 - 2*h**3 + 13*h**2. Let v(y) = 12*y**2 - 8*y - 12. Let q be ((-9)/6)/((-39)/130). Let r(i) = q*v(i) - 4*z(i). Solve r(o) = 0.
-2, -1, 1
Let a(x) be the second derivative of -3*x**5/80 - 3*x**4/32 + 2*x**3 + 9*x**2 + 492*x. Factor a(f).
-3*(f - 4)*(f + 4)*(2*f + 3)/8
Let o(d) be the second derivative of -d**7/420 - d**6/60 + d**5/15 - 103*d**3/6 + 121*d. Let m(r) be the second derivative of o(r). Factor m(q).
-2*q*(q - 1)*(q + 4)
Factor 43/3*c - 10/3 + 11/3*c**3 + 64/3*c**2.
(c + 1)*(c + 5)*(11*c - 2)/3
Factor -306/11*g**3 + 2/11*g**5 + 10/11*g**4 - 2106/11*g**2 + 0 + 0*g.
2*g**2*(g - 13)*(g + 9)**2/11
Factor 677*g**3 - 18*g**2 + 685*g**3 + g**4 - 1369*g**3.
g**2*(g - 9)*(g + 2)
Let s be (-762)/(-72) + (-15 - -7) + 2/(-8). Determine x, given that 1/6*x**2 + 5/6*x - s = 0.
-7, 2
Let t = 314 - 266. Determine m so that t*m**3 - 14*m**2 + 3*m**4 + 2*m - 7*m**2 - 35*m**4 + 3*m**2 = 0.
0, 1/4, 1
Let v(a) = -7*a**3 + 168*a**2 + 189*a - 2. Let x(c) = -155*c**3 + 3695*c**2 + 4165*c - 45. Let k(l) = -45*v(l) + 2*x(l). Factor k(b).
5*b*(b - 35)*(b + 1)
Let u(y) be the first derivative of 16*y**2 + 56 + 4/3*y**3 - 36*y. Solve u(g) = 0 for g.
-9, 1
Let f(c) be the first derivative of c**6/3 + 2*c**5 + 3*c**4/2 - 10*c**3/3 - 4*c**2 + 796. Factor f(p).
2*p*(p - 1)*(p + 1)**2*(p + 4)
Suppose 3114/11*n + 1/11*n**2 + 0 = 0. What is n?
-3114, 0
Let i = 2088 + -2088. Let f(j) be the second derivative of 0*j**3 + i + 1/126*j**7 - 1/18*j**4 - 1/60*j**5 + 2*j + 0*j**2 + 1/45*j**6. Factor f(b).
b**2*(b - 1)*(b + 1)*(b + 2)/3
Let q(m) be the third derivative of -m**5/15 - 259*m**4/3 + 3*m**2 - m - 369. Factor q(u).
-4*u*(u + 518)
Let i = -3 + 5. Let j(d) = -2*d**3 - 13*d**2 - 12*d + 15. Let h be j(-5). Factor -6*z + h + 0 + 6*z**i - 9*z**2.
-3*z*(z + 2)
Let d(h) be the first derivative of 80/7*h**3 - 207/14*h**2 - 75/28*h**4 + 13 + 54/7*h. Let d(k) = 0. What is k?
3/5, 2
Let -146*o + 592*o + 0 + 8*o + 0 - 2*o**2 = 0. Calculate o.
0, 227
Find x such that -6/11*x**2 + 0*x + 6/11*x**3 + 0 = 0.
0, 1
Let o(p) be the second derivative of -p**7/28 - p**6/2 + 9*p**5/20 + 17*p**4/2 + 83*p**3/4 + 45*p**2/2 - 635*p + 2. Let o(f) = 0. Calculate f.
-10, -1, 3
Let o(l) = -15*l**4 + 125*l**3 + 2170*l**2 - 4380*l + 2210. Let r(j) = j**4 - 9*j**3 - 155*j**2 + 313*j - 158. Let k(n) = 4*o(n) + 55*r(n). Factor k(i).
-5*(i - 5)*(i - 1)**2*(i + 6)
Let k(m) = m**3 + 11*m**2 - 1721*m - 18927. Let x be k(-11). Solve -30*r**2 + 0*r - 20*r**3 + 5/2*r**x + 0 + 5/2*r**5 = 0 for r.
-2, 0, 3
Let y(c) be the first derivative of -95 - 2/3*c**3 + 28*c + 13*c**2. Solve y(i) = 0 for i.
-1, 14
Suppose 2*x = -7*x + 333. Let s = x + -33. Factor -9*u**2 - 8*u**4 + s*u + 12 + 3*u**4 + 6*u**4.
(u - 2)**2*(u + 1)*(u + 3)
Let m = 0 - -2. Suppose 5*p = 4*x + 8, -p - 3*p + 10 = -m*x. Factor 6*w**2 - 4*w**2 - 2*w**2 - 3*w**x.
-3*w**3
Let o be (-8)/(-14) + ((-6375)/(-126) - 51). Factor o*t**2 - 11/3*t + 121/6.
(t - 11)**2/6
Solve 1615*o**3 - 4853*o**3 - 2265*o + 1620*o**3 + 1619*o**3 + 1133 + 1131*o**2 = 0.
-1133, 1
Let y(d) be the third derivative of d**5/12 - 5*d**4/2 - 70*d**3/3 + 1015*d**2. Factor y(v).
5*(v - 14)*(v + 2)
Let q be (-249713)/91545 + (-1)/(-3). Let n = 2/359 - q. Factor 4/5*a**4 - 16/5*a**3 + 0 + 0*a + n*a**2.
4*a**2*(a - 3)*(a - 1)/5
Factor -9*g + 62 - 12*g - g**2 + 41 + 73 - 14.
-(g - 6)*(g + 27)
Let l = 5285131/2972871 - 3/330319. Factor -2/9*p**2 + 0 + l*p.
-2*p*(p - 8)/9
Let l = 4175 - 4173. Let n(a) be the second derivative of 0 - 81/2*a**l + 27/2*a**3 + 3/20*a**5 - 9/4*a**4 - 16*a. Find f such that n(f) = 0.
3
Suppose -34*h + 83*h - 33*h - 30*h = 0. Let a(m) be the third derivative of 1/60*m**5 + h - 12*m**2 + 1/6*m**3 + 0*m + 1/12*m**4. Let a(x) = 0. Calculate x.
-1
Let h = -3/117761 + 235531/353283. Factor -16/3*u**2 + 0*u**3 + 0*u + 32/3 + h*u**4.
2*(u - 2)**2*(u + 2)**2/3
Suppose 123 = -3*m + 5*y, 2*y = -2*m + 7*y - 87. Let c = 41 + m. Find h such that h - 6*h - 4*h**5 - 17*h**3 - h**c + 27*h**3 = 0.
-1, 0, 1
Let r(y) be the third derivative of y**6/8 - 2*y**5/5 - 3379*y**4/8 - 675*y**3 - 4*y**2 - 4*y + 167. Factor r(g).
3*(g - 27)*(g + 25)*(5*g + 2)
Suppose 18/7 + 54/7*f + 12/7*f**3 - 6/7*f**4 + 52/7*f**2 - 2/7*f**5 = 0. What is f?
-3, -1, 3
Let y be (-17 + -1)/(-9)*(2 + 0). Let w be (1/y*0)/(-2). Factor -38*d**3 - 5 - 15*d**2 + w - 15*d + 33*d**3.
-5*(d + 1)**3
Let u(b) = -3*b**2 + b + 18. Let v(t) = -4*t**2 + t + 17. Let o(g) = -g**2 - 2. Let s be o(1). Let p(y) = s*u(y) + 2*v(y). Find k such that p(k) = 0.
-4, 5
Let p = -382209/52 + 95562/13. Determine l, given that 1/2*l + 0 - p*l**4 + 1/2*l**3 + 7/4*l**2 = 0.
-1, -1/3, 0, 2
Let m(r) = 2*r**3 - 572*r**2 + 40356*r. Let z(w) = 4*w**3 - 1143*w**2 + 80705*w. Let d(p) = -7*m(p) + 4*z(p). Suppose d(o) = 0. What is o?
0, 142
Let x(z) be the first derivative of 0*z - 10*z**4 + 242*z**2 + 154/3*z**3 - 101 + 2/5*z**5. Factor x(i).
2*i*(i - 11)**2*(i + 2)
Let p = -164451 - -1151159/7. Determine m so that 120/7*m - p*m**2 - 1800/7 = 0.
30
Let h(o) be the second derivative of -363/4*o**2 - 1 - 11/4*o**3 + 2*o - 1/32*o**4. Factor h(i).
-3*(i + 22)**2/8
Let u(t) be the first derivative of -2/9*t**3 + 1/24*t**4 - 1/3*t - 5 + 5/12*t**2. Determine x, given that u(x) = 0.
1, 2
Factor 25/11*d**2 + 106/11*d + 1/11*d**3 + 120/11.
(d + 2)*(d + 3)*(d + 20)/11
Let p(n) be the second derivative of n**7/112 + 87*n**6/80 + 2343*n**5/80 - 7217*n**4/16 + 23829*n**3/16 - 33135*n**2/16 + 126*n. Let p(y) = 0. What is y?
-47, 1, 5
Let s(i) be the second derivative of -4/3*i**3 - 1/15*i**5 + 130*i + 0 - 5/9*i**4 + 0*i**2. Factor s(k).
-4*k*(k + 2)*(k + 3)/3
Let w(y) b