(i) be the third derivative of 0*i + 1/48*i**5 + 147*i**2 - 5/4*i**4 + 0 + 115/24*i**3. Factor l(r).
5*(r - 23)*(r - 1)/4
Let p(x) be the third derivative of -x**8/30240 - x**7/3780 + 14*x**5/15 + x**2 + x. Let t(m) be the third derivative of p(m). Factor t(v).
-2*v*(v + 2)/3
Suppose -19*b - 53 = 61. Let l be 4/b*-3*1. Find u such that u**3 + 2/3*u**l + 0*u**4 + 0*u - 1/3*u**5 + 0 = 0.
-1, 0, 2
Let a(o) be the third derivative of o**6/120 + 11*o**5/30 - 11*o**4/12 + 23*o**3/6 + o**2 + 177. Let v be a(-23). Factor -2/15*r**2 + 2/15 + v*r.
-2*(r - 1)*(r + 1)/15
Let p(l) be the third derivative of l**8/112 - 17*l**7/70 + 39*l**6/40 + 229*l**5/20 + 67*l**4/2 + 48*l**3 + 9655*l**2. Solve p(t) = 0.
-1, 8, 12
Factor 0 + 0*k + 4*k**2 + 2/5*k**4 + 22/5*k**3.
2*k**2*(k + 1)*(k + 10)/5
Let l = -570240 - -570240. Factor 12/7*m**2 + 32/7*m + l - 2/7*m**3.
-2*m*(m - 8)*(m + 2)/7
Let n(m) = 16*m + 98. Let h be n(-6). Let v be -2 + (80/(-4) - h)/(-10). Factor -v*k**5 - k**4 - 2/5*k - 9/5*k**3 + 0 - 7/5*k**2.
-k*(k + 1)**3*(k + 2)/5
Let g(c) = 2*c**2 - 130*c + 131. Suppose -5*m - 3598 + 3918 = 0. Let j be g(m). Find r, given that 6/5*r**2 + 0 + 3/5*r + 3/5*r**j = 0.
-1, 0
Determine g, given that -257*g**2 + 34277*g - 10 + 0 - 68396*g + 32832*g = 0.
-5, -2/257
Let h(c) = 8*c**2 + 202*c + 242. Let g be h(-24). Factor -4/7*l**3 + 24/7 + 4*l + 0*l**g.
-4*(l - 3)*(l + 1)*(l + 2)/7
Let h = -834 - -976. Factor 58 - 45*y - 80*y**2 - 17*y**2 - 38 - 19*y**3 + h + 1465*y**4 - 1466*y**4.
-(y - 1)*(y + 2)*(y + 9)**2
Let q(k) be the first derivative of 0*k**2 - 19 - 5/24*k**3 + 1/48*k**4 + k. Let a(i) be the first derivative of q(i). Factor a(j).
j*(j - 5)/4
Let s(t) = -3*t**2 - 309*t - 362. Let b(a) = 6*a**2 + 603*a + 723. Let k(y) = 4*b(y) + 9*s(y). Factor k(f).
-3*(f + 1)*(f + 122)
Let r(m) be the third derivative of -m**7/280 - 41*m**6/80 + 167*m**5/80 - 21*m**4/8 - m**2 - 319. Factor r(v).
-3*v*(v - 1)**2*(v + 84)/4
Let o(t) be the third derivative of 27*t**3 - 66*t**2 + 0 + 3/4*t**4 + 0*t + 1/120*t**5. Find n such that o(n) = 0.
-18
Let r(p) be the third derivative of 7*p**6/480 + 79*p**5/120 + 295*p**4/96 + 6*p**3 + 4477*p**2. Let r(m) = 0. What is m?
-144/7, -1
Factor 88/5*g**2 - 868/5 + 2/5*g**3 + 778/5*g.
2*(g - 1)*(g + 14)*(g + 31)/5
Let t(o) be the second derivative of 1/28*o**4 + 3/20*o**5 - 1 + 3*o - 3/14*o**2 - 1/2*o**3. What is r in t(r) = 0?
-1, -1/7, 1
Let t(i) be the first derivative of -225 + 48/7*i**2 + 96/7*i + 3/28*i**4 + 10/7*i**3. Let t(a) = 0. What is a?
-4, -2
Let d(k) = -4*k**3 + 12*k + 13. Let u(m) = -3*m + 53. Let f be u(17). Let c(s) = s**3 - 3*s - 4. Let a(q) = f*d(q) + 7*c(q). Factor a(j).
-(j - 1)**2*(j + 2)
Let u(g) be the first derivative of -475*g**4/4 + 980*g**3/3 - 535*g**2/2 + 30*g + 4276. Find w such that u(w) = 0.
6/95, 1
Suppose 19*o = 1788 + 701. Suppose 11 - o = -24*x. What is v in 1/6*v**x - 1/6*v**4 + 1/3*v**2 - 1/6 + 1/6*v - 1/3*v**3 = 0?
-1, 1
Let m(b) be the first derivative of 3/2*b - 3/8*b**2 - 1/4*b**3 + 5. Factor m(z).
-3*(z - 1)*(z + 2)/4
Let n(k) be the first derivative of -k**4/4 - 4*k**3 - 22*k**2 - 48*k + 1234. Let n(q) = 0. Calculate q.
-6, -4, -2
Let j(o) be the first derivative of -2*o**3/21 + 4*o**2 - 374*o/7 + 2550. Factor j(b).
-2*(b - 17)*(b - 11)/7
Let p(x) = 5*x**2 - 2195*x - 4585. Let k(n) = -3*n**2 + 1105*n + 2292. Let j(o) = 5*k(o) + 2*p(o). Solve j(i) = 0.
-2, 229
Determine j so that -235*j**5 - 40*j**3 + 11 + 36*j - 11 + 239*j**5 = 0.
-3, -1, 0, 1, 3
Let n be 5764/10 + 16/(-40). Determine z, given that -4*z**4 - 62*z**2 - 324 + 2*z**2 - 64*z**3 - 85*z**2 + n*z - 39*z**2 = 0.
-9, 1
Let i(w) be the second derivative of -1/8*w**4 + 1/30*w**6 + 0*w**5 + 15/2*w**2 + 0 + 16*w - 1/6*w**3. Let d(f) be the first derivative of i(f). Factor d(u).
(u - 1)*(2*u + 1)**2
Let u be 551/58 - ((-10)/4)/5. Let g(h) be the first derivative of -u - 2/3*h**2 + 4/9*h**3 - 8/3*h. Factor g(q).
4*(q - 2)*(q + 1)/3
Suppose l + 27 = 10*l. Suppose -7*p = -l*p - 12. Factor -15*q + 9*q**2 + 7 + 15*q**p - 19 + 3*q**4 + 0*q**4.
3*(q - 1)*(q + 1)**2*(q + 4)
Let k be (20/(-15))/(-5 - (-174)/36). Suppose 0 = -r - 5*b + 16, -k + 16 = -r + 3*b. Factor -r + 3/4*s + 1/4*s**2.
(s - 1)*(s + 4)/4
Find c, given that -16/3*c**5 + 100/3*c - 196/3*c**2 + 0 - 236*c**3 - 428/3*c**4 = 0.
-25, -1, 0, 1/4
Let p(i) be the third derivative of i**6/288 - 5*i**5/12 + 125*i**4/6 - 35*i**3/3 - 2*i**2 - 62*i. Let b(h) be the first derivative of p(h). Factor b(a).
5*(a - 20)**2/4
Find u such that -10552/7*u - 6959044/7 - 4/7*u**2 = 0.
-1319
Factor 3872/9*z**2 - 3866/9*z - 2/3.
2*(z - 1)*(1936*z + 3)/9
Let f = -2091921/5 - -416324. Let d = f - -2061. What is p in 2/5*p - d*p**2 + 4/5 - 2/5*p**3 = 0?
-2, -1, 1
Factor -1/3*k**3 - 28/3*k**2 - 53/3*k - 26/3.
-(k + 1)**2*(k + 26)/3
Suppose 43*n = 55*n + 1680. Let s = n + 140. Let 15/7*x**5 + 12/7*x**2 + 9/7*x**4 + s*x - 36/7*x**3 + 0 = 0. Calculate x.
-2, 0, 2/5, 1
Let m(h) be the third derivative of h**5/15 - 1193*h**4/3 + 2846498*h**3/3 + 3661*h**2. What is c in m(c) = 0?
1193
Let l(c) be the second derivative of -14/5*c**5 + 114*c - 4/15*c**6 + 26/3*c**3 - 8/3*c**4 + 20*c**2 + 2/21*c**7 + 0. Solve l(q) = 0 for q.
-2, -1, 1, 5
Let l = 1249 - 1249. Let b(c) = 15*c + 1. Let q be b(2). Factor l*r - q*r**2 + 2 + 14*r**2 + 13*r**2 - 7*r.
-(r + 2)*(4*r - 1)
Let u be (-1)/(-10) + 28747/30 - 3. Let q = u - 14042/15. Let -738/5*s**3 - 9*s**5 + 0*s**2 + q*s - 363/5*s**4 + 0 = 0. What is s?
-4, -2/5, 0, 1/3
Let u be (-3 + 2 + 10/25)/(14/(-140)). Let p(z) be the first derivative of -u - 4/15*z**3 + 3/2*z**2 + 4/5*z. What is f in p(f) = 0?
-1/4, 4
Let k be ((-10)/(-25) + (-10)/(-25))*2/8. Let z = 74 - 74. What is j in z - k*j**2 - 1/5*j = 0?
-1, 0
Let x(h) be the second derivative of -h**6/210 + 4*h**5/5 + 227*h**4/84 + 19*h**3/7 + 312*h - 10. Factor x(r).
-r*(r - 114)*(r + 1)**2/7
Let z be (-24 - 12)/(-2) + -5. Let m(h) be the second derivative of 1/9*h**3 - 1/45*h**5 + 0 + z*h + 0*h**2 - 5/54*h**4. Let m(w) = 0. What is w?
-3, 0, 1/2
Let 144 - 1/4*y**2 - 189/4*y = 0. What is y?
-192, 3
Let s be ((-13)/(325/30))/(10/(-25)). Suppose 0 = 4*u - 12 + 4. Find d such that 8*d**u + d**s - 4*d**5 + 4*d**2 + 3*d**3 - 12*d**4 = 0.
-3, -1, 0, 1
Let i(r) = -r**3 + 3*r - 2. Let b be i(1). Solve 10 - 2*v**2 - 565*v + 573*v + b*v**2 = 0.
-1, 5
Let t(s) be the second derivative of -5*s**7/42 + 34*s**6 - 101*s**5 - 5*s**4/6 + 675*s**3/2 - 505*s**2 - 1653*s. Find u such that t(u) = 0.
-1, 1, 202
Let l be (0 - -4) + 228 + -229. Let 650/21*p**2 + 128/7*p + 338/21*p**l + 24/7 = 0. What is p?
-1, -6/13
Let h(i) be the first derivative of 2*i**5/55 - i**4/66 + 42*i + 56. Let g(s) be the first derivative of h(s). Solve g(t) = 0.
0, 1/4
Suppose n = -q + 21, 0 = -4*n - 27*q + 24*q + 88. Factor 5*s**5 - 30*s**3 - 1242*s**2 - 5*s**4 + n*s + 15 - 1252*s**2 + 2484*s**2.
5*(s - 3)*(s - 1)*(s + 1)**3
Determine u, given that 0 - 1/8*u**5 + 1/8*u**4 + 3/2*u - 25/8*u**2 + 13/8*u**3 = 0.
-4, 0, 1, 3
Solve -72*q + 117*q + 40*q**2 - 7*q**3 - 1170 + 2*q**3 + 90*q**2 = 0.
-3, 3, 26
Suppose 2*l - 21192*u = -21195*u + 10, 5*u = -l + 12. Factor 4*g + 2/3*g**l + 6.
2*(g + 3)**2/3
Let b = 44933 - 44931. Factor -9/7*o**4 - 3/7*o**b + 3/7*o**5 + 0*o + 9/7*o**3 + 0.
3*o**2*(o - 1)**3/7
Let l(z) be the first derivative of -z**6/10 + 12*z**5/5 - 51*z**4/5 + 64*z**3/5 - 1838. Factor l(x).
-3*x**2*(x - 16)*(x - 2)**2/5
Suppose -3*t = 3*k - 36, 8 = 3*k - 7. Factor -2*v**5 + 0*v**3 - 2*v**4 + 2*v**3 - 18*v**2 + t*v**2 + 13*v**2.
-2*v**2*(v - 1)*(v + 1)**2
Let v = 613 + -611. Factor -5*k**2 - 12*k + 2*k + 5*k**v + k**2.
k*(k - 10)
Let 40/11*g**2 + 0 + 2/11*g**5 + 8/11*g**4 - 14/11*g - 36/11*g**3 = 0. What is g?
-7, 0, 1
Suppose 3*f + 4*t - 13 = 42, 30 = 2*f - 4*t. Suppose -f = v - 22. Solve 17*m**2 + 23*m**2 + 30*m**3 - 2 + 15*m + 2 - v*m**5 = 0.
-1, 0, 3
Suppose -31*y + 16*y = 8*y - 23. Find u such that 9/4*u + 1/4*u**3 + y + 3/2*u**2 = 0.
-4, -1
Let s = -983771/30 - -32793. Let r(u) be the second derivative of 18*u + 0*u**2 + 33/50*u**5 + 3/25*u**6 + 1/5*u**3 + s*u**4 + 0. Factor r(b).
2*b*(b + 3)*(3*b + 1)**2/5
Factor 1185 + 225*a + 165 + 22*a**2 + 60*a + 26*a**2 - 45*a**2.
3*(a + 5)*(a + 90)
Let b = -2269 + 2287. Let d be ((-40)/(-450))/(20/b)*30. Let -d + 2/5*g + 2/5*g**2