ive of k**4/2 + 214*k**3/15 - 318*k**2/5 - 288*k/5 - 442. Solve x(t) = 0.
-24, -2/5, 3
Let z(v) be the third derivative of -199*v**2 + 676/3*v**3 - 143/3*v**4 + 121/30*v**5 + 0 + 0*v. Factor z(u).
2*(11*u - 26)**2
Suppose 9*m - 71 = 37. Find c, given that -2*c**4 + 171*c**3 - c**4 + m*c - 165*c**3 + 21*c**2 + 0*c**2 = 0.
-1, 0, 4
Let s(q) be the third derivative of -16/3*q**3 + 1/60*q**6 + 0 + 0*q**5 - q**4 + 0*q - 95*q**2. Solve s(u) = 0 for u.
-2, 4
Let h be 226821/18900 + (1 - 13). Let g(i) be the third derivative of -h*i**6 + 0 - 1/45*i**3 - 5*i**2 + 1/180*i**4 + 0*i + 1/450*i**5. Factor g(k).
-2*(k - 1)**2*(k + 1)/15
Let v(o) = 82*o**3 - o**2 - o + 1. Let h be v(1). Factor -12*t**2 + 22*t**4 - 18*t**4 + 28*t + 24 + 69*t**3 - h*t**3.
4*(t - 3)*(t - 2)*(t + 1)**2
Suppose 8190*b - 8207*b = -34. Let 1/9*w**b + 0 - w = 0. Calculate w.
0, 9
Let i(h) be the third derivative of -h**6/540 + 89*h**5/90 - 506*h**4/3 + 1936*h**3 - 887*h**2. Factor i(d).
-2*(d - 132)**2*(d - 3)/9
Let p(h) = -53*h**2 + 444*h + 51978. Let c(w) = -62*w**2 + 442*w + 51977. Let i(u) = -6*c(u) + 7*p(u). Factor i(n).
(n + 228)**2
Let p(o) = 34*o**5 + 50*o**4 + 90*o**3 + 86*o**2 + 44*o. Let l(x) = 38*x**5 + 53*x**4 + 91*x**3 + 85*x**2 + 45*x. Let w(i) = -16*l(i) + 18*p(i). Factor w(m).
4*m*(m + 1)**2*(m + 2)*(m + 9)
Let n = -34 - -28. Let j(f) = -3*f - 13. Let g be j(n). Factor -6*v**5 + v**g - 922*v**4 + 100*v**2 + 957*v**4 - 90*v**3 - 40*v.
-5*v*(v - 2)**3*(v - 1)
Let d(q) be the second derivative of -q**4/4 + 61*q**3/2 - 90*q**2 - 253*q. Determine u, given that d(u) = 0.
1, 60
Let r(b) = -12*b**3 + 1063*b**2 - 190094*b + 11279514. Let d(l) = -7*l**3 + 531*l**2 - 95046*l + 5639758. Let c(a) = -5*d(a) + 3*r(a). Factor c(z).
-(z - 178)**3
Let u(j) be the first derivative of 4*j**3/3 - 54*j**2 + 288*j - 2017. Let u(x) = 0. Calculate x.
3, 24
Factor 136*p**3 - 55*p**5 + 70*p**5 + 384*p**3 - 10*p**5 + 105*p**4.
5*p**3*(p + 8)*(p + 13)
Let j(g) be the third derivative of g**5/20 - 21*g**4/8 + 55*g**3 - 176*g**2 - g. Factor j(d).
3*(d - 11)*(d - 10)
Let o(p) be the third derivative of p**6/60 + 151*p**5/10 + 22801*p**4/4 + 3442951*p**3/3 - 527*p**2. Let o(b) = 0. What is b?
-151
Let g = 187 - 180. Suppose s + g*s = -4*s. Find u, given that 0*u**2 + 2/3*u**5 + s*u + 0 - 8/3*u**4 + 8/3*u**3 = 0.
0, 2
Factor -132 - 1/2*i**2 - 67*i.
-(i + 2)*(i + 132)/2
Let b(d) be the first derivative of d**4/28 + 8*d**3/7 - 51*d**2/14 + 26*d/7 - 1280. Factor b(j).
(j - 1)**2*(j + 26)/7
Let n = -1364 - -1366. Let f(z) be the first derivative of 0*z + 0*z**n - z**4 + 2/3*z**3 + 2/5*z**5 + 15. Determine m, given that f(m) = 0.
0, 1
Let t = 3473 - 20837/6. Let w(v) be the third derivative of 0*v + 1/336*v**8 + 1/120*v**6 - 1/6*v**5 + 4/3*v**3 + 2/105*v**7 - 7*v**2 + 0 - t*v**4. Factor w(h).
(h - 1)**2*(h + 2)**3
Let o(l) be the third derivative of 2*l**7/105 - l**6/6 - 2*l**5/5 - 23*l**2 - 4*l. Determine c so that o(c) = 0.
-1, 0, 6
Let i(b) be the first derivative of -4*b**5/5 - 2*b**4 + 4*b**3 + 16*b**2 + 16*b + 433. Let i(x) = 0. What is x?
-2, -1, 2
Suppose 0 = 11*d - 1672 + 572. Let t be (-560)/d + (11 - 5). Find s, given that 2/5*s - 1/5*s**2 - t*s**3 + 0 + 1/5*s**4 = 0.
-1, 0, 1, 2
Let i(c) be the first derivative of -2*c**6/3 + 2*c**4 - 2*c**2 - 1147. Determine a, given that i(a) = 0.
-1, 0, 1
Let f(j) be the second derivative of 0*j**3 + 0*j**2 + 0 - 1/50*j**5 + 92*j + 1/10*j**4. Factor f(w).
-2*w**2*(w - 3)/5
Factor -1001*c**2 - 1719*c - 446*c**2 - 2809*c**2 - 4*c**4 + 926*c - 1076*c**3 - 3447*c.
-4*c*(c + 2)**2*(c + 265)
Let k(j) be the first derivative of j**6/27 + 22*j**5/45 + j**4/2 - 22*j**3/27 - 10*j**2/9 - 359. Solve k(u) = 0.
-10, -1, 0, 1
Let b(j) be the first derivative of 5*j**6/6 - 2*j**5 - 415*j**4/4 + 140*j**3 + 4410*j**2 - 3353. Solve b(r) = 0.
-6, 0, 7
Let g(m) = 3*m**3 + 5*m**2 - m. Let f(v) = -24*v**3 - 200*v**2 - 352*v - 36. Let s(r) = -f(r) + 4*g(r). Factor s(h).
4*(h + 3)**2*(9*h + 1)
Let i be (74/3)/(1/3). Factor -86*m**3 - 5 + 55*m - 175*m**2 + 137*m**3 + i*m**3.
5*(m - 1)*(5*m - 1)**2
Suppose 294*g - 261*g - 3 + 3 = 181*g. Factor 3/4*o**2 - 3/4 + g*o.
3*(o - 1)*(o + 1)/4
Let w(y) be the first derivative of -4/35*y**5 + 40*y**2 - 112*y - 10/7*y**4 + 55 + 4/7*y**3. Factor w(s).
-4*(s - 2)**2*(s + 7)**2/7
What is y in -911754*y**2 - 222*y**4 + 0 - 2/3*y**5 - 24642*y**3 + 0*y = 0?
-111, 0
Determine n so that -50*n**2 - 496*n - 428*n**2 + n**3 - 492 - 2*n**3 + 351*n**2 = 0.
-123, -2
Let s = -10169 - -10174. Let t(p) be the first derivative of -3*p - 1/30*p**s - 29/18*p**3 - 7 - 3/8*p**4 - 13/4*p**2. What is i in t(i) = 0?
-3, -2, -1
Let i = 169610 + -169608. Factor 11/2*s**i + 5/2*s + 2*s**3 - 1.
(s + 1)*(s + 2)*(4*s - 1)/2
Let x(n) = -6*n + 49. Let l be x(9). Let q(b) = -b**2 - 6*b - 1. Let s be q(l). Factor 249*i - 125*i - i**2 - 120*i + s - i**3.
-(i - 2)*(i + 1)*(i + 2)
Let d be 9 - 1724*1/192. Let o(q) be the second derivative of 10*q - 1/24*q**3 + 0 + d*q**4 + 0*q**2. Suppose o(f) = 0. Calculate f.
0, 1
Let p(m) be the second derivative of -m**4/4 - 20*m**3 + 5342*m. Determine g, given that p(g) = 0.
-40, 0
Factor -985 - 1464 + 919 + 2*k**2 - 97*k + 33*k - 232*k.
2*(k - 153)*(k + 5)
Let j(w) be the second derivative of -4/3*w**3 + 0 + 2/5*w**5 - 34*w + 2/15*w**6 + 0*w**2 - 1/3*w**4. Factor j(t).
4*t*(t - 1)*(t + 1)*(t + 2)
Suppose -131*x = -105*x + 83*x. What is y in 2/7*y**5 + 0*y + 4/7*y**2 - 2/7*y**3 - 4/7*y**4 + x = 0?
-1, 0, 1, 2
Let l(s) be the third derivative of -s**5/105 + 17*s**4/3 - 111*s**2 - s - 1. Factor l(d).
-4*d*(d - 238)/7
Let c(i) = i**3 + 41*i**2 - 362*i + 594. Let y(r) = -3*r**3 - 126*r**2 + 1087*r - 1779. Let b(z) = -19*c(z) - 6*y(z). Solve b(a) = 0.
-34, 2, 9
Let h = 3522 - 3522. Let w(y) be the third derivative of 1/60*y**6 + 0*y**3 + 0*y + 0*y**5 + 0*y**4 - y**2 + h. Factor w(g).
2*g**3
Let z(q) be the first derivative of 5/6*q**6 - 41 + 2555/2*q**4 + 82365/2*q**2 + 49130*q + 38080/3*q**3 + 54*q**5. Solve z(o) = 0.
-17, -2, -1
Let r be 82/(-6) - (-490)/280*8. Factor -r*n**2 + 10/3 - n.
-(n - 2)*(n + 5)/3
Factor -1/4*s - 3 + 1/4*s**2.
(s - 4)*(s + 3)/4
Let p(a) be the first derivative of -3*a**5/10 + 33*a**4/4 - 165*a**3/2 + 351*a**2 - 486*a + 443. Suppose p(v) = 0. Calculate v.
1, 6, 9
Let q(b) be the first derivative of 1/3*b**3 - 4*b**2 + 203 + 16*b. Factor q(w).
(w - 4)**2
Factor 2288/23 - 2/23*i**2 + 1140/23*i.
-2*(i - 572)*(i + 2)/23
Find o, given that -416242 - 2*o**3 + 416242 + 1352*o**2 = 0.
0, 676
Find q such that -22/3*q**3 + 0 - 2/3*q**4 - 62/3*q**2 - 14*q = 0.
-7, -3, -1, 0
Let j(p) = 14*p**3 + 3*p**2 + 193*p + 15. Let q(m) = m**3 + m**2 + 12*m + 1. Let w(r) = -j(r) + 15*q(r). Factor w(i).
i*(i - 1)*(i + 13)
Let f(b) be the first derivative of 116/3*b**3 - 20*b**4 + 12*b + 89 - 32*b**2 + 16/5*b**5. Let f(k) = 0. What is k?
1/2, 1, 3
Let m be (-7)/4*(-1402)/14721. Let 8/3*b + m*b**2 + 32/3 = 0. Calculate b.
-8
Let n = 71689 + -501822/7. Factor 2/7*c + 4/7*c**3 + 5/7*c**2 + n*c**4 + 0.
c*(c + 1)**2*(c + 2)/7
Let c(g) be the first derivative of g**6/12 - 83*g**5/10 + 2251*g**4/8 - 22565*g**3/6 + 23800*g**2 - 72250*g - 4822. Factor c(u).
(u - 34)**2*(u - 5)**3/2
Let s = -11/50 - -1879/700. Let g(y) be the first derivative of s*y**4 - 15/14*y**2 + 16/21*y**3 - 7 - 2/7*y + 8/7*y**5. Suppose g(j) = 0. Calculate j.
-1, -1/8, 2/5
Let h = 96 - 93. Let b(u) be the first derivative of -12*u + 11*u**4 + 2*u**2 + 41 - 28*u**2 - 17*u**2 - 34*u**h. Determine a so that b(a) = 0.
-1/2, -2/11, 3
Factor 387*u**3 - 40*u**2 + 24 - 415*u**3 + 27*u + 17*u.
-4*(u - 1)*(u + 2)*(7*u + 3)
Suppose 0 = -4*s - d - 34 + 40, 3*s + 6*d = 36. Factor 0 + 1/4*h**3 - 1/2*h**2 + s*h.
h**2*(h - 2)/4
Let o = 528284/475407 - 6/52823. Factor 2/9*z**2 - o*z + 4/3.
2*(z - 3)*(z - 2)/9
Let o(d) be the second derivative of d**6/15 - d**5 - 4*d**4 - 3454*d. Suppose o(i) = 0. What is i?
-2, 0, 12
Let f(q) be the second derivative of -1/70*q**5 - 17/21*q**3 - 4/21*q**4 + 0 - 10/7*q**2 + 63*q. Let f(v) = 0. What is v?
-5, -2, -1
Let w = -2/487 + 503/3896. Let t(d) be the third derivative of 0 + 1/40*d**5 + 0*d - w*d**4 + 0*d**3 + 16*d**2. Factor t(f).
3*f*(f - 2)/2
Let v(m) be the first derivative of 0*m**2 - 111/8*m**4 + 0*m + 1369/4*m**3 - 110 + 3/20*m**5. Factor v(c).
3*c**2