 -i**3 - 18*i**2 - 72*i + 2. Let u be m(-12). Factor 147/5*d**4 + 12/5*d**u + 0 + 0*d + 84/5*d**3.
3*d**2*(7*d + 2)**2/5
Let f be (-1955)/(-119) + 3/(-7). Suppose -80*q - f*q**2 + 7*q**2 - 3*q**2 - 16 + 36*q**3 - 16*q**2 = 0. Calculate q.
-1, -2/9, 2
Let l = 23658733/46551510 + 1/287355. Let h = l - 2/243. Factor v**2 - 1/4*v**3 - 5/4*v + h.
-(v - 2)*(v - 1)**2/4
Find c such that -25/2*c + 0 - 5/4*c**2 = 0.
-10, 0
Suppose -2*u - 2*p - 244 = -4*u, 0 = -3*u - 4*p + 352. Let l be 6/(9/u*4). Find r such that 6 + 5*r - 29 - 5*r**3 + 3 + l*r**2 = 0.
-1, 1, 4
Let z(h) be the third derivative of -h**5/420 - 5*h**4/84 - 3*h**3/14 + 276*h**2. Factor z(t).
-(t + 1)*(t + 9)/7
Let z be (-1)/(14/(-40)) - (-534)/(-623). Find r such that 4/5*r**4 + 0*r**2 + 2*r**3 - z*r - 4/5 = 0.
-2, -1, -1/2, 1
Let l(g) be the second derivative of 0 + 8/21*g**3 + 1/42*g**4 - 4*g + 16/7*g**2. Determine k, given that l(k) = 0.
-4
Let k(i) be the third derivative of -i**10/302400 + i**9/60480 - i**8/40320 + i**5/30 - 6*i**2. Let f(p) be the third derivative of k(p). Factor f(j).
-j**2*(j - 1)**2/2
Let h(u) = -u + 9. Let i be h(9). Suppose i = -f + 6 - 4. Factor 7*q + q**2 - f*q - 5*q - q.
q*(q - 1)
Suppose 4*f + 2*d - 118 = 92, -5*f = -2*d - 240. Solve -5*m**2 - 6*m**2 - 12*m**3 + 75*m**5 + 25*m**4 - m**2 + f*m**4 = 0.
-1, -2/5, 0, 2/5
Suppose 0*t**2 + 3*t**4 - 9/2*t**3 + 0 + 0*t + 3/2*t**5 = 0. Calculate t.
-3, 0, 1
Let b = 183786 + -43373433/236. Let f = -1/59 + b. Factor f*q**2 + 1/4*q + 0.
q*(q + 1)/4
Factor -12/5*u**4 - 16/5*u**2 - 24/5*u**3 + 0*u - 2/5*u**5 + 0.
-2*u**2*(u + 2)**3/5
Let p(n) be the first derivative of 1/24*n**6 + 1/8*n**2 + 0*n - 1 + 0*n**3 + 0*n**5 - 1/8*n**4. Let p(i) = 0. Calculate i.
-1, 0, 1
Let l be 12/42 - -4*(-18)/(-42). Factor 1/6*f**l + 1/2 + 2/3*f.
(f + 1)*(f + 3)/6
Suppose 5*z - 5*q - 40 = 0, 0*q - 2*q = 8. Factor -23*n**4 + 7*n**4 + 11*n**z.
-5*n**4
Suppose 3*u + 8 - 5 = 0. Let i be u/(-2) - (-6)/4. Let 4*q**3 - 2 + 0 + i*q**2 - 2*q**4 + 0*q**5 - 2*q**5 - 2*q + 2*q**2 = 0. Calculate q.
-1, 1
Let f(u) be the second derivative of -35*u**4/24 + 15*u**3 - 9*u + 23. Factor f(c).
-5*c*(7*c - 36)/2
Factor -2/7*g**3 + 38/7*g**2 + 0 - 68/7*g.
-2*g*(g - 17)*(g - 2)/7
Suppose -80*v = -81*v - 2. Let r be -4*1*((-175)/84 - v). Find u such that -1/3*u + 1/3*u**2 + r*u**3 - 1/3 = 0.
-1, 1
Let o(s) be the first derivative of -5*s**4/4 - 50*s**3/3 - 85*s**2/2 - 40*s - 108. Factor o(b).
-5*(b + 1)**2*(b + 8)
Suppose -r + 104 = -0*r. Let x = r - 104. Factor 0 - 1/3*j**2 + x*j - 1/6*j**4 - 1/2*j**3.
-j**2*(j + 1)*(j + 2)/6
Let k(h) = 18*h**2 + 128*h - 141. Let o(b) = 8*b**2 + 64*b - 70. Let g(j) = 2*k(j) - 5*o(j). Factor g(d).
-4*(d - 1)*(d + 17)
Let z = -147506 + 53102267/360. Let i = z - 3/40. Factor 0 - 38/9*t**4 + 14/9*t**5 - 4/9*t + 10/3*t**3 - i*t**2.
2*t*(t - 1)**3*(7*t + 2)/9
Let l(a) = -3*a**2 - 158*a - 2062. Let g be l(-24). Solve 2/3*k**g + 5/6*k + 1/6*k**3 + 1/3 = 0.
-2, -1
Suppose 5*c + 3*p + 222 = 7*p, -2*c - 99 = -5*p. Let s be (-41)/c + (-29)/(-174). Factor -8/7 - 2/7*v**2 - s*v.
-2*(v + 2)**2/7
Let v(q) be the first derivative of -q**3/9 + q**2/2 - 2*q/3 - 176. Let v(p) = 0. Calculate p.
1, 2
Factor 36/13*p - 2/13*p**2 - 160/13.
-2*(p - 10)*(p - 8)/13
Let v be 5672/(-26) - (4/2 - 5). Let s = -215 - v. Factor -s*x**3 + 8/13*x**2 + 4/13 - 10/13*x.
-2*(x - 2)*(x - 1)**2/13
Let f(i) be the third derivative of i**6/288 - i**5/80 - i**4/144 + i**2 - 162*i. Determine k, given that f(k) = 0.
-1/5, 0, 2
Let z(c) be the second derivative of c**7/84 + 4*c**6/15 + 41*c**5/40 + 13*c**4/12 - 418*c. Let z(x) = 0. Calculate x.
-13, -2, -1, 0
Factor 0 - 44/5*s - 4/5*s**3 - 48/5*s**2.
-4*s*(s + 1)*(s + 11)/5
Suppose -10*w - 4*w - 98 = 0. Let i(r) = -3*r - 21. Let t be i(w). Factor t + 1/3*o**3 + 0*o - o**5 + 0*o**2 + 2/3*o**4.
-o**3*(o - 1)*(3*o + 1)/3
Let z(v) be the third derivative of v**7/2520 - v**6/72 + 5*v**5/24 - v**4/8 - 5*v**2. Let x(f) be the second derivative of z(f). Let x(l) = 0. What is l?
5
Let w = -1/213 + 24/71. Solve 1/3 + 0*n - w*n**2 = 0 for n.
-1, 1
Let m(t) = 14*t - 11. Let h(c) = -6*c + 5. Let z(j) = 5*h(j) + 2*m(j). Let w be z(0). Solve 3*f + 2 + 1/4*f**w + 3/2*f**2 = 0.
-2
Suppose 272 = 5*p + 32. Let l(t) = t**2 - 10*t + 12. Let s be l(-11). Factor -a + s*a**2 + 105*a + 112*a + p.
3*(9*a + 4)**2
Let h = -2348 - -2352. Let w(o) be the third derivative of 0 - 1/42*o**7 + 5/8*o**h + 0*o + o**2 + 5/3*o**3 - 1/8*o**6 - 1/12*o**5. Factor w(d).
-5*(d - 1)*(d + 1)**2*(d + 2)
Let p(s) = s**2 - 13*s - 12. Let f be p(-1). Factor 24/5*v + 12/5*v**3 + 26/5*v**f + 8/5 + 2/5*v**4.
2*(v + 1)**2*(v + 2)**2/5
Let b(v) = 9*v + 72. Let c be b(-8). Let j(g) be the first derivative of 0*g**2 + c*g + 48/5*g**5 + 6*g**4 + g**3 + 3. Find p, given that j(p) = 0.
-1/4, 0
Let f = -1995758087/436 + 4577429. Let v = f + 6/109. Determine g so that 3/2*g - v - 1/4*g**2 = 0.
3
Let b(k) be the second derivative of -3/20*k**5 + 5/2*k**3 + 9/2*k**2 + 1/4*k**4 + 38*k + 0. What is n in b(n) = 0?
-1, 3
Suppose 0*w + 12 = 2*w. Factor w*c - 13*c - c - 4*c**2.
-4*c*(c + 2)
What is p in -122*p - 139*p**2 + 34*p + 121*p**2 + 7*p - p**3 = 0?
-9, 0
Let t = 400/9 + -310/7. Let n = 4/9 - t. Determine r so that -4/7*r - 2/7*r**5 + 6/7*r**3 + 0 + 2/7*r**2 - n*r**4 = 0.
-2, -1, 0, 1
Let b(g) be the third derivative of -g**6/300 + g**5/150 + g**4/60 - g**3/15 + 226*g**2. Factor b(p).
-2*(p - 1)**2*(p + 1)/5
Let z(f) = -f - 8. Let g be z(-11). Factor i + g*i**2 - 4*i - 3 - 2*i**2 + i.
(i - 3)*(i + 1)
Suppose -3322*j + 3336*j = 364. Suppose 34/3*d**2 + j*d**3 + 0 + 16/3*d**4 - 32/3*d**5 + 4/3*d = 0. What is d?
-1, -1/4, 0, 2
Suppose -97*d - 160 = -129*d. Let t(m) be the third derivative of 0 + 20/3*m**3 + 25/6*m**4 + 4*m**2 + 0*m + 1/8*m**6 + 7/6*m**d. Solve t(v) = 0.
-2, -2/3
Let l(q) be the first derivative of 0*q**3 + 1/2*q**4 + 0*q**2 - 42 + 0*q. Factor l(v).
2*v**3
Let q(j) = 24*j**2 + 15*j + 21. Let y(z) = -49*z**2 - 30*z - 45. Let l(g) = 13*q(g) + 6*y(g). Factor l(r).
3*(2*r + 1)*(3*r + 1)
Let b(t) = -12*t**2 + 201*t + 54. Let g be b(17). Find k, given that k**2 + 0 - 1/3*k**g - 2/3*k = 0.
0, 1, 2
Suppose -5*t = -5*j - 45, 0*j = j - 5*t - 3. Let y = j - -14. Factor -1/7*s**y - 1/7 - 2/7*s.
-(s + 1)**2/7
Suppose 0 = -2*c - c - 3. Let z be (c/(-6))/(2/9). Determine n so that 3/2*n - 3/2*n**3 - z*n**2 + 3/4*n**4 + 0 = 0.
-1, 0, 1, 2
Suppose -105*x = -125*x + 80. Let g(q) be the second derivative of -6*q - 1/9*q**x + 0 - 4/9*q**3 + 0*q**2. Factor g(j).
-4*j*(j + 2)/3
Solve -8380*m**2 - 45*m + 16754*m**2 - 8373*m**2 = 0.
0, 45
Let c(p) be the first derivative of p**4/4 - 7*p**3/2 + 9*p**2 + 5*p + 44. Let l(w) be the first derivative of c(w). Suppose l(x) = 0. Calculate x.
1, 6
Find b, given that 2/5*b**4 + 102/5*b**2 + 864/5 + 1008/5*b - 8*b**3 = 0.
-3, -1, 12
Let r(l) be the second derivative of -5*l**4/4 - 245*l**3/6 + 85*l**2 + 309*l. Suppose r(p) = 0. What is p?
-17, 2/3
Let h be (-98)/(-5) - 6/(-15). Suppose 12 = v + 2*g, 6*v - v = -2*g + h. Factor 4*s**2 + 10*s + 2*s**2 + s**2 - 2*s**v.
5*s*(s + 2)
Let t(u) be the second derivative of -u**7/168 - u**6/60 + 3*u**5/80 + u**4/12 - u**3/6 - 155*u + 3. Let t(q) = 0. Calculate q.
-2, 0, 1
Let f be ((-22)/187 + (-346)/(-340))/(12/10). Let n(i) = -i**2 + 4*i + 1. Let v be n(3). Let -3/4*j**2 - 1/4*j**v + f*j**3 + 0 + 1/4*j = 0. Calculate j.
0, 1
Let b(w) be the first derivative of 5*w**4/4 - 55*w**3/3 - 65*w**2 - 262. Factor b(u).
5*u*(u - 13)*(u + 2)
Factor 2/7*c**2 + 100/7*c + 1250/7.
2*(c + 25)**2/7
Let d(l) be the third derivative of l**6/40 + 27*l**5/20 - 57*l**4/8 + 29*l**3/2 + 127*l**2. Find j, given that d(j) = 0.
-29, 1
Let c(u) = -11*u**3 + 330*u**2 - 5118*u - 11572. Let o(d) = 120*d**3 - 3630*d**2 + 56295*d + 127290. Let b(w) = 65*c(w) + 6*o(w). Factor b(q).
5*(q - 34)**2*(q + 2)
Let c be (0/23)/(-18)*((0 - -2) + -1). Determine n so that -1/4*n + c - 1/2*n**2 - 1/4*n**3 = 0.
-1, 0
Let h(f) be the second derivative of -3*f**4/14 - 23*f**3/14 + 6*f**2/7 - 93*f. Suppose h(d) = 0. What is d?
-4, 1/6
Let n(a) = 3*a**2 + 6*a + 6. Suppose 5*l = -5*d - 5, 4*d - 15 = 4*l + 29. Let x(u) = -u**2 + 1. Let c(i) = l*x(i) - 3*n(i). Find j such that c(j) = 0.
-4, -2
Let a(y) = y**3 - 55*y**2 + y - 52. Let b be a(55). Let x(s) be the first 