4/40 - 8*r**2 - 2*r - 15. Let d(p) be the second derivative of l(p). Factor d(c).
c*(c + 1)*(c + 3)**2/5
Let o(g) be the second derivative of g**4/60 - 296*g**3/5 + 394272*g**2/5 - 56*g - 13. What is c in o(c) = 0?
888
Suppose -z = -4*p - 18, 4*z = 5*p - 139 + 167. Let r(o) be the first derivative of 0*o - 12 - 2/33*o**3 - 4/11*o**z. Factor r(d).
-2*d*(d + 4)/11
Let z(x) be the second derivative of -x**4/12 - 78*x**3 - 467*x**2/2 - 10949*x. Suppose z(g) = 0. Calculate g.
-467, -1
Let p = 660 + -702. Let d be 8/6 - 628/p. Factor d*l - 24/7 - 24/7*l**3 - 66/7*l**2.
-6*(l - 1)*(l + 4)*(4*l - 1)/7
Let j(o) be the third derivative of -o**4/8 - o**3/2 + 29*o**2. Let a be j(-3). Factor 335*b**3 - 340*b**3 + a - 10*b**2 + 4 + 5*b.
-5*(b - 1)*(b + 1)*(b + 2)
Factor 1/2*s**2 + 33/4 + 1/8*s**3 - 71/8*s.
(s - 6)*(s - 1)*(s + 11)/8
Factor -328*q**2 - 33*q**3 + 268*q + 28 + 7*q**3 + 64 - 26*q**3 + 20.
-4*(q - 1)*(q + 7)*(13*q + 4)
Determine o, given that 16*o**4 + 10*o**5 - 33*o**3 - 22*o**5 + 7*o**5 + 14*o**4 - 12*o**3 + 20*o**2 = 0.
0, 1, 4
Let b(g) be the first derivative of -3/25*g**5 + 141/20*g**4 - 3/10*g**6 - 288/5*g**2 - 308 + 41/5*g**3 - 756/5*g. Suppose b(q) = 0. What is q?
-7/3, -2, 3
Let u(r) be the second derivative of 12*r - 2/11*r**4 - 1/110*r**5 + 9/11*r**3 + 0 - 39/2*r**2. Let t(b) be the first derivative of u(b). Factor t(q).
-6*(q - 1)*(q + 9)/11
Let l(i) = -436*i - 6538. Let q be l(-15). Factor 39/2*r + 30*r**q + 27/2*r**3 + 3.
3*(r + 1)**2*(9*r + 2)/2
Solve 12*o**2 - 187*o + 593*o + 12 - 249*o + 1 = 0 for o.
-13, -1/12
Let f be (-58)/8 - -6*(-7 + (-375)/(-45)). Let q(s) be the second derivative of -1/10*s**6 + f*s**4 + 3*s**2 + 0 + 5/2*s**3 - 3/20*s**5 + 9*s. Factor q(w).
-3*(w - 2)*(w + 1)**3
Let g(c) be the third derivative of c**5/330 - 53*c**4/44 - 322*c**3/33 + 4718*c**2. Find q, given that g(q) = 0.
-2, 161
Factor -3*g**4 - 209*g**2 - 179*g**2 + 342*g**2 - 96*g + 2*g**4 + 128 + 15*g**3.
-(g - 8)**2*(g - 1)*(g + 2)
Let q be (35/(-25))/((-532)/190). Let i(j) be the first derivative of -5/16*j**4 + 0*j + q*j**2 + 3/20*j**5 - 44 - 1/3*j**3. Factor i(n).
n*(n - 2)*(n + 1)*(3*n - 2)/4
Let x(d) be the first derivative of 65/4*d**4 + 5/6*d**6 + 62 + 10*d**3 + 8*d**5 + 0*d**2 + 0*d. Find p such that x(p) = 0.
-6, -1, 0
Let t(s) be the second derivative of s**10/15120 + s**9/5040 - s**8/3360 - 2*s**4 - 65*s. Let z(o) be the third derivative of t(o). Factor z(f).
f**3*(f + 2)*(2*f - 1)
Let s(r) = 114*r**5 + 15*r**4 - 63*r**3 - 96*r**2 + 48*r - 18. Let u(w) = -7*w**5 - w**4 + 4*w**3 + 6*w**2 - 3*w + 1. Let y(i) = -2*s(i) - 33*u(i). Factor y(f).
3*(f - 1)**2*(f + 1)**3
Let n be (-2 - -13 - 22) + 13. Let d(y) be the first derivative of -16 + 2/9*y**3 + 4/3*y + y**n. Factor d(g).
2*(g + 1)*(g + 2)/3
Let s(v) be the first derivative of 12*v - 9/2*v**2 + 148 - v**3. Find x such that s(x) = 0.
-4, 1
Let b = 2907/605 + -19139/4235. Factor 44/7*y + 242/7 + b*y**2.
2*(y + 11)**2/7
Let f(p) be the first derivative of p**4/4 - 7*p**3 + 49*p**2 - 120*p + 9670. Let f(l) = 0. What is l?
2, 4, 15
Let m = 1872 + -1868. Let r(v) be the third derivative of m*v**2 - 1/24*v**3 + 0*v + 1/240*v**5 + 1/96*v**4 - 1/480*v**6 + 0. Factor r(p).
-(p - 1)**2*(p + 1)/4
Let -63*k**2 - 11*k**2 - 156*k**3 + 100*k**2 + 178*k**2 + 154*k**3 + 206*k = 0. Calculate k.
-1, 0, 103
Let n be (0*(-37)/(-259))/4. Suppose -5/6*m**3 - 35/3*m**2 + n + 25/2*m = 0. Calculate m.
-15, 0, 1
Let m = 301/429 + -13/33. Let j = -1/611127 + 6111283/7944651. Solve -14/13*t + m + j*t**2 = 0 for t.
2/5, 1
Let s be 0 - (9 + (8 - 207)). Let j be 1/2*(4 - 0). Factor 3*v - s + 3*v**j + 3*v + 181.
3*(v - 1)*(v + 3)
Let j(a) be the second derivative of -a**5/120 + 11*a**4/48 + 53*a**2/2 + 33*a. Let h(n) be the first derivative of j(n). Factor h(k).
-k*(k - 11)/2
Let a(z) be the first derivative of -z**3 - 21*z**2/2 + 16*z - 53. Let f(h) = 8*h**2 + 63*h - 49. Let p(j) = 11*a(j) + 4*f(j). Suppose p(t) = 0. Calculate t.
1, 20
Let f(u) be the second derivative of -u**5/30 - 65*u**4/18 + 346*u**3/9 - 280*u**2/3 + 1863*u. Let f(k) = 0. What is k?
-70, 1, 4
Let m(v) be the first derivative of -2*v**5/7 + 53*v**4/14 - 92*v**3/7 + 76*v**2/7 + 16*v + 3292. What is b in m(b) = 0?
-2/5, 2, 7
Let i(z) be the second derivative of -16*z - 1/10*z**5 + 7/6*z**4 - 4 + 0*z**2 + 8/3*z**3. Factor i(c).
-2*c*(c - 8)*(c + 1)
Factor 1/4*w**3 - 1519/4 - 385/4*w - 17/4*w**2.
(w - 31)*(w + 7)**2/4
Let z(j) be the first derivative of -j**3 + 67*j**2/2 + 121*j - 188. Let s(m) = -m**2 + 34*m + 62. Let n(f) = -5*s(f) + 2*z(f). Solve n(l) = 0 for l.
-34, -2
Factor -2/3*w**4 + 0 + 0*w + 0*w**2 - 80/3*w**3.
-2*w**3*(w + 40)/3
Let w(s) = 2*s - 6. Let b be w(4). Suppose 8 = -b*r + 36. Factor u - 12*u**2 - 4*u + r*u**3 + 12 - 11*u**3.
3*(u - 4)*(u - 1)*(u + 1)
Let z(d) be the third derivative of -d**5/90 - 80*d**4/9 + 107*d**3/3 - 16*d**2 - 36*d. Factor z(y).
-2*(y - 1)*(y + 321)/3
Let h = 11679/23165 - -444/4633. Find l, given that 3/5*l**3 - h*l - 27/5 + 27/5*l**2 = 0.
-9, -1, 1
Let b = 2/32659 + 65312/97977. Factor -b - 4/9*a + 2/9*a**2.
2*(a - 3)*(a + 1)/9
Let b be (61 + -61)*((-2)/7)/(-2). Factor b + 1/8*m**5 + 0*m - 1/8*m**3 + 3/8*m**4 - 3/8*m**2.
m**2*(m - 1)*(m + 1)*(m + 3)/8
Let f = -74 + 87. Suppose 8*z - f - 3 = 0. Factor 74*w**2 + 69*w**2 - 12*w - 147*w**z.
-4*w*(w + 3)
Let b(l) be the first derivative of 9/2*l**4 + l**3 + 3/5*l**5 - 88 - 36*l**2 + 48*l. Determine q so that b(q) = 0.
-4, 1
Let i(s) = -4*s - 11. Let w be i(-16). Suppose 7*r - w = 129. Factor 19*t + 4 - 47*t + 2*t**3 - 4*t**2 + r*t.
2*(t - 2)*(t - 1)*(t + 1)
Let d(q) be the first derivative of 68 + 9*q**2 - 3/8*q**4 - 39/4*q - 9/4*q**3. Factor d(v).
-3*(v - 1)**2*(2*v + 13)/4
Let d be -12 + 28 + -19 + 5. Factor 16/5*t**3 + 0 - 4*t**4 + 8/5*t**5 - 4/5*t**d + 0*t.
4*t**2*(t - 1)**2*(2*t - 1)/5
Let w be 656/360 - (-410)/(-1845). Let -2/5*p**2 - 8/5*p + 2/5*p**3 + w = 0. Calculate p.
-2, 1, 2
Let b(f) be the third derivative of -5/12*f**4 + 5/2*f**3 + 1/42*f**7 + 1/12*f**6 + 0*f - 1 - 4*f**2 - 1/3*f**5. Let b(p) = 0. What is p?
-3, -1, 1
Let v(d) be the first derivative of d**4/3 - 14*d**3/9 + d**2 - 238. Factor v(y).
2*y*(y - 3)*(2*y - 1)/3
Let d(u) be the first derivative of u**5/100 + 3*u**4/40 - 14*u**2 - 52. Let s(k) be the second derivative of d(k). Factor s(c).
3*c*(c + 3)/5
Let f(k) be the second derivative of 68/3*k**2 + 1/9*k**4 + 7 - 38/9*k**3 - k. Factor f(h).
4*(h - 17)*(h - 2)/3
Let y = -45158 - -45158. Let -3/7*b**5 - 15/7*b**3 + y + 6/7*b**2 + 0*b + 12/7*b**4 = 0. Calculate b.
0, 1, 2
Let p(j) be the third derivative of -j**8/168 + j**7/105 + 4*j**6/15 - 8*j**5/15 - 9*j**2 + 10*j. Suppose p(v) = 0. What is v?
-4, 0, 1, 4
Let g(i) be the second derivative of -i**6/10 + 39*i**5/2 - 1056*i**4 - 65*i**3 + 12675*i**2/2 - 245*i - 2. Factor g(y).
-3*(y - 65)**2*(y - 1)*(y + 1)
Determine a, given that 520*a + 492*a + 4*a**3 - 124*a + 452*a**2 = 0.
-111, -2, 0
Let s = 16 + -16. Suppose s = -5*v - 3*v + 40. Factor 5*j**v - 3*j**3 - 7*j**3 - 32*j + 37*j.
5*j*(j - 1)**2*(j + 1)**2
Suppose 26*f - 124 = 6. Factor -168*r + 21*r**4 - 66 - 6 - 2*r**f - 197*r**2 - 150*r**3 - 51*r**4 - 72*r - 93*r**2.
-2*(r + 1)**3*(r + 6)**2
Let p(h) = h**3 + 23*h**2 + 193*h + 3766. Let y be p(-22). Factor 0*z - 2/3*z**5 + 32/3*z**2 + 0 + 16/3*z**y - 40/3*z**3.
-2*z**2*(z - 4)*(z - 2)**2/3
Let z(t) be the first derivative of 135/4*t**4 - 75*t**3 - 30*t - 42 - 5*t**5 + 145/2*t**2. Let z(n) = 0. Calculate n.
2/5, 1, 3
Factor -1729*j - 4721*j + 7*j**2 + 4086 + 231 + 2128 - 2*j**2.
5*(j - 1289)*(j - 1)
Suppose 4*j = 3*i + 14, -8*i = 4*j - 4*i. Factor z**3 - 4*z**3 - 59*z**2 + 68*z**j.
-3*z**2*(z - 3)
Factor 589*z + 1/2*z**2 + 346921/2.
(z + 589)**2/2
Let l(d) = -5*d**3 - 5*d**2 - 80*d - 64. Let o(v) = -3*v**2 - 261*v + v**2 - 6*v**3 + 181*v - 64. Let q(i) = 5*l(i) - 4*o(i). What is t in q(t) = 0?
-8, -1
Suppose t - 2 = 3*v, -5*t - 18 = -v - 28. Suppose 3*c = -d + 10, 3*d - 1 - 5 = 3*c. Factor -9*b**t - 8*b - 2*b**3 - 2*b + b**2 - d.
-2*(b + 1)**2*(b + 2)
Let p(m) = -5*m - 34*m - 1756 - m**2 + 1760. Let g be p(-39). Factor 3/8*f**3 + 0 - 3/8*f**5 + 3/8*f**g - 3/8*f**2 + 0*f.
-3*f**2*(f - 1)**2*(f + 1)/8
Let j = 1936599 - 1936597. Factor -124/3*s + 44/3*s**j - 8.
4*(s - 3)*(11*s + 2)/3
Let 