tor -220*c**2 + 7*c**3 - 312*c**2 - 5*c**4 - 292*c**3 - 23*c**2 - 275*c.
-5*c*(c + 1)**2*(c + 55)
Let s(h) be the first derivative of h**5/10 + h**4/3 - 46*h + 26. Let m(b) be the first derivative of s(b). Factor m(d).
2*d**2*(d + 2)
Let q(b) = b**4 + 2*b**3 + b**2 + b + 1. Let m(g) = 2*g**3 + 32*g**2 + 20*g - 106. Let k(f) = m(f) - 2*q(f). Factor k(o).
-2*(o - 3)*(o - 2)*(o + 3)**2
Let v(m) = 41*m**3 + 817*m**2 + 646*m - 182. Let x(j) = 21*j**3 + 408*j**2 + 324*j - 84. Let w(f) = 6*v(f) - 13*x(f). Factor w(y).
-3*y*(y + 14)*(9*y + 8)
Let k(i) = -i + 1. Let n(w) = -28*w**2 + 28*w + 36. Let d(l) = 0*l + 11 + 16 + 4*l. Let o be d(-7). Let m(p) = o*n(p) + 20*k(p). Factor m(j).
4*(j - 2)*(7*j + 2)
Let z be ((-424)/84 - -6)/((16/(-18))/(-4)). Factor -2/7*m**2 - 52/7 + z*m.
-2*(m - 13)*(m - 2)/7
Suppose 36*z + 65*z = -49*z. Let p(y) be the third derivative of -5/39*y**4 + 1/1365*y**7 + 8/39*y**3 + z*y + 0 - 7/780*y**6 + 3/65*y**5 + 17*y**2. Factor p(j).
2*(j - 2)**3*(j - 1)/13
Factor 134994/17*w**2 - 902/17*w**3 + 2/17*w**4 - 6612290/17*w - 13771804/17.
2*(w - 151)**3*(w + 2)/17
Let m = 254 - 251. Factor 10*g + 10*g**2 + 8*g**2 - m*g**2 - 5*g**4.
-5*g*(g - 2)*(g + 1)**2
Let l be 6675/594 - 3/(-27). Let t = l + -123/11. Factor -6 - t*b**2 - 2*b.
-(b + 6)**2/6
Let u(p) = -p**4 + p**3 + p**2 - p - 1. Let d = 229 + -231. Let q(a) = 12*a**4 - 3*a**3 - 12*a**2 + 3*a + 5. Let r(o) = d*q(o) - 10*u(o). Factor r(z).
-2*z*(z - 1)*(z + 1)*(7*z + 2)
Suppose -2384*f**2 - 82/5*f**4 - 1974/5*f**3 - 8214/5 - 18241/5*f - 1/5*f**5 = 0. Calculate f.
-37, -6, -1
Let c(s) be the second derivative of 5*s**7/42 + s**6/24 - 7*s**5/20 - 3*s**4/8 + 31*s**2 - 2*s + 29. Let p(x) be the first derivative of c(x). Factor p(z).
z*(z - 1)*(5*z + 3)**2
Let q be ((-234)/(-36) - 7)/((-35)/2). Let t(h) be the first derivative of -2/7*h - 1 + 3/28*h**4 + q*h**5 - 3/14*h**2 + 1/21*h**3. Factor t(z).
(z - 1)*(z + 1)**2*(z + 2)/7
Factor -1/8*x**2 + 0 - 3/4*x.
-x*(x + 6)/8
Let r(i) be the first derivative of i**5/40 - 5*i**4/12 + 25*i**3/12 + 104*i + 139. Let x(v) be the first derivative of r(v). Factor x(f).
f*(f - 5)**2/2
Let d = 165 - 158. Find m such that 11*m**2 + 2*m**4 - 8*m**4 + 2*m**4 - d*m**2 = 0.
-1, 0, 1
Let q be (-10)/(-2)*((-354)/(-15) - -6). Let d = -144 + q. Factor 8/9*u**2 + 0*u + 0 - 8/9*u**3 + 2/9*u**d.
2*u**2*(u - 2)**2/9
Let r = 452/9 + -448/9. Factor r*i**2 + 0 + 2/9*i**3 + 0*i.
2*i**2*(i + 2)/9
Let j(t) be the second derivative of -t**5/4 - 35*t**4/2 - 975*t**3/2 - 6750*t**2 + 1081*t. Factor j(k).
-5*(k + 12)*(k + 15)**2
Let f = 481 + -476. Factor -286*s**4 + 1000*s**2 + 4*s**5 + s**f + 201*s + 2560 + 236*s**4 + 2978*s - 100*s**3 + 21*s.
5*(s - 8)**2*(s + 2)**3
Let h(s) = 1015*s**2 + 5835*s + 5590. Let n(a) = -37*a**2 - 216*a - 207. Let i(m) = -2*h(m) - 55*n(m). Solve i(w) = 0 for w.
-41, -1
Let x(l) = -3*l**3 - 497*l**2 - l + 515. Let u(o) = 10*o**3 + 1482*o**2 + 4*o - 1545. Let n(r) = -4*u(r) - 14*x(r). What is q in n(q) = 0?
-515, -1, 1
Let y(j) be the third derivative of -j**6/540 + j**4/108 + 3264*j**2. Find u, given that y(u) = 0.
-1, 0, 1
Let w(s) be the first derivative of -17/3*s**3 + 1/4*s**4 + 1/45*s**6 - 13 - 13/60*s**5 + 0*s + 0*s**2. Let z(j) be the third derivative of w(j). Factor z(v).
2*(v - 3)*(4*v - 1)
Let w = -28782 + 374180/13. Suppose 2*j - 2/13*j**4 - 2/13*j**3 + 12/13 + w*j**2 = 0. Calculate j.
-2, -1, 3
Suppose -4*f = 2 - 14. Factor -3*b + b**2 + b + 4*b**2 - f*b.
5*b*(b - 1)
Let p = -29973 - -119893/4. Factor -11/2*d**2 + 0 + 121/4*d + p*d**3.
d*(d - 11)**2/4
Let o(d) be the third derivative of d**6/120 + 3*d**5/2 + 87*d**4/8 - d**2 + 28. Factor o(p).
p*(p + 3)*(p + 87)
Let n(c) = 19*c**4 + 391*c**3 - 375*c**2 - 7*c - 14. Let f(a) = 13*a**4 + 261*a**3 - 249*a**2 - 5*a - 10. Let v(i) = -7*f(i) + 5*n(i). Factor v(h).
4*h**2*(h - 1)*(h + 33)
Let h(q) be the second derivative of -q**7/42 - 11*q**6/15 - 29*q**5/4 - 38*q**4/3 + 416*q**3/3 - 256*q**2 + 1646*q. Factor h(a).
-(a - 1)**2*(a + 8)**3
Suppose -4*v - 18 = -2*r - 26, 3*r = 3*v. Suppose u = -0*u + 3. Factor -4*y**4 + 2*y**3 - 5*y**u + 7*y**r + y - 10*y - 15*y**2.
3*y*(y - 3)*(y + 1)**2
Let z(f) be the third derivative of 0 + 3*f + 2*f**2 - 1/240*f**5 - 1/8*f**4 - 3/2*f**3. Factor z(i).
-(i + 6)**2/4
Let u(f) = -f**2 + f. Suppose 136 = -32*h + 30*h. Let o = 69 + h. Let a(r) = 2*r**2 - 137*r + 980. Let b(v) = o*a(v) - 3*u(v). Factor b(q).
5*(q - 14)**2
Find q such that -2/5*q**4 - 3778/5*q**2 - 5124/5*q - 171/5*q**3 + 3528/5 = 0.
-42, -2, 1/2
Factor -9119*i**4 - 20*i**2 - 10*i**3 + 18250*i**4 - 9126*i**4 + 40*i.
5*i*(i - 2)**2*(i + 2)
Let j(h) be the first derivative of -h**6/255 + h**5/85 - h**4/102 - 46*h - 11. Let r(l) be the first derivative of j(l). What is k in r(k) = 0?
0, 1
Suppose -5*t - 3*q - 11 = 0, -4*t - 184*q + 181*q = 13. Solve -36/5*y**t - 6/5*y**5 + 48/5*y**3 + 0 - 42/5*y + 36/5*y**4 = 0.
-1, 0, 1, 7
Let q be (-14)/10 - (-51 + 118020/2450). Factor q*x + 4/7 + 6/7*x**2.
2*(x + 1)*(3*x + 2)/7
Let u(a) be the third derivative of a**6/540 + 13*a**5/45 + 169*a**4/9 - a**3/6 + 106*a**2. Let t(s) be the first derivative of u(s). Factor t(w).
2*(w + 26)**2/3
Suppose -10*t + 14*t - 5*p = 67, -3*t - 46 = 5*p. Factor 0*r + 1/7*r**t + 0 - 1/7*r**2.
r**2*(r - 1)/7
Let z = 2426421/11 + -220583. Factor -2/11 + z*n**4 - 2*n**3 + 18/11*n**2 - 2/11*n.
2*(n - 1)**3*(4*n + 1)/11
Suppose -6*o + 2*o - 108 = 0. Let w = o - -38. Factor -n + w + n**2 - 7 - 4.
n*(n - 1)
Let j(c) be the second derivative of 0*c**2 + 0*c**3 - 12/5*c**5 - 74 - 16/3*c**4 + 2*c + 0*c**6 + 2/21*c**7. Factor j(b).
4*b**2*(b - 4)*(b + 2)**2
Let p(i) be the third derivative of 48*i**2 + 0 + 7/150*i**6 + 0*i + 0*i**3 - 2/175*i**7 + 0*i**4 - 2/75*i**5. Let p(m) = 0. What is m?
0, 1/3, 2
Let i be ((-2)/(-37))/((-9)/(36/(-44))). Let d = 413/1221 - i. Factor -d*t**2 - 4/3*t + 1/3 + 4/3*t**3.
(t - 1)*(t + 1)*(4*t - 1)/3
Let h(d) be the first derivative of -2*d**3/3 - d - 196. Let k(r) = 15*r**2 + 72*r + 75. Let s(n) = -6*h(n) - k(n). Solve s(o) = 0 for o.
-23, -1
Suppose 3*d - 2*q + 156 = -129, -d - q - 95 = 0. Let s = d - -97. Factor 6*j**2 - 2*j**s - 22 - 8*j - 10.
4*(j - 4)*(j + 2)
Let o(d) be the second derivative of -160*d + 1/70*d**5 - 1/21*d**4 + 0 + 0*d**2 + 0*d**3. Let o(u) = 0. What is u?
0, 2
Let f(j) be the second derivative of -1/4*j**3 + 1/2*j**2 + 0 - 5/24*j**4 + 36*j. Factor f(s).
-(s + 1)*(5*s - 2)/2
Let h = -7003/30 + 1403/6. Determine x, given that 2 - 2/5*x**3 + h*x - 2*x**2 = 0.
-5, -1, 1
Let r = 3822 - 3818. Let z(u) be the third derivative of -1/4*u**3 + 0 + 11/96*u**r + u**2 + 0*u - 1/120*u**6 - 1/240*u**5. Let z(s) = 0. What is s?
-2, 3/4, 1
Let j = -236 - -236. Factor 104*u - 3*u**2 + 441 + 5*u**2 + 911 + j*u**2.
2*(u + 26)**2
Let g(r) be the third derivative of -1/10*r**5 - 7/12*r**4 + 25*r**2 - 5*r - 4/3*r**3 + 0. Suppose g(o) = 0. Calculate o.
-4/3, -1
Let q(c) be the first derivative of 0*c**2 - c**3 + 3/5*c**4 + 0*c + 3/25*c**5 - 166. Let q(j) = 0. Calculate j.
-5, 0, 1
Determine c so that -2/19*c**2 + 378/19 + 40/19*c = 0.
-7, 27
Let c(g) be the third derivative of -8450/3*g**3 + 0 - 203*g**2 + 0*g - 1/15*g**5 - 65/3*g**4. Factor c(t).
-4*(t + 65)**2
Let b = -60/7 - -1087/126. Let l = 29/18 + b. Factor 25/3*n**4 + 5*n**5 - l*n**2 + 0*n + 0 + 5/3*n**3.
5*n**2*(n + 1)**2*(3*n - 1)/3
What is o in -6144/23*o + 2/23*o**5 - 1280/23*o**2 + 0 - 72/23*o**4 + 744/23*o**3 = 0?
-2, 0, 6, 16
Factor -68 + 8966*v - 52*v**2 - 4850*v - 308 - 42 - 214.
-4*(v - 79)*(13*v - 2)
What is r in 2/7*r**4 - 34/7*r**3 + 22/7*r**2 + 96/7 + 22*r = 0?
-1, 3, 16
Let q(u) be the third derivative of -u**5/240 - 269*u**4/96 + 45*u**3/4 + 6736*u**2. Solve q(f) = 0 for f.
-270, 1
Factor 96*f - 84/5*f**2 + 3/5*f**3 + 0.
3*f*(f - 20)*(f - 8)/5
Let l be 1314/324 + (-2)/1 + -2. Let h(n) be the first derivative of l*n**4 - 14 - 2/9*n**3 - 2/9*n + 1/3*n**2. Factor h(j).
2*(j - 1)**3/9
Solve -30 + 55 - 10*a**4 - 85 - 329*a**3 - 4*a + 735*a**2 - 80 = 0 for a.
-35, -2/5, 1/2, 2
Let y be 329/3384*24*(1 - 0). Factor -y*p - 10/3 + 4/3*p**2 + 1/3*p**3.
(p - 2)*(p + 1)*(p + 5)/3
Factor 2/3*h**4 + 76/3*h + 64/3*h**2 + 20/3*h**3 + 10.
2*(h + 1)**2*(h + 3)*(h + 5)/3
Let x(z) be the second derivative of z**9/20160 - z**8/4480 - z**7/1120 + 13*z**4/6 - 