the third derivative of j(o). Suppose c(v) = 0. What is v?
-1, 0
Let p = 1514/231 + -70/11. Let j be (-6)/(-33) + 180/99. Factor 2/21*k + p - 2/21*k**j.
-2*(k - 2)*(k + 1)/21
Let r(s) = 6*s - 45*s - 72 - 70 - 4*s**2 + 3*s - 22. Let p be ((-12)/9)/(4/(-6)). Let b(y) = -5*y**2 - 36*y - 165. Let j(u) = p*b(u) - 3*r(u). Factor j(g).
2*(g + 9)**2
Let r(c) = c - 3. Let g be r(6). Let f be 2 - (4/14 + 99/(-77)). Factor 3 - 6*s - 3*s**2 + 17*s - g*s**f - 8*s.
-3*(s - 1)*(s + 1)**2
Let x(v) be the second derivative of 5*v**4/12 + 20*v**3/3 + 30*v**2 + v + 34. Factor x(r).
5*(r + 2)*(r + 6)
Let m = 12 + -9. Suppose 165*i**2 + 2187 + 13*i**3 - 2349*i - 6*i**3 - 3*i**m - 7*i**3 = 0. Calculate i.
1, 27
Let h(j) be the second derivative of 2/15*j**6 + 2/5*j**5 + 0*j**2 - 18*j - 3 + 1/3*j**4 + 0*j**3. Factor h(q).
4*q**2*(q + 1)**2
Let b = -140446/77 + 20070/11. Factor -6/7 + b*h + 2/7*h**2.
2*(h - 1)*(h + 3)/7
Let z(f) be the first derivative of -12769*f**5/5 - 12317*f**4/4 + 448*f**3/3 - 2*f**2 - 4746. Solve z(m) = 0 for m.
-1, 0, 2/113
Factor 0 - 1/4*u**3 - 13*u - 17/4*u**2.
-u*(u + 4)*(u + 13)/4
Let p(c) be the first derivative of c**4/10 + 766*c**3/15 + 7059*c**2 - 106470*c + 980. Suppose p(x) = 0. What is x?
-195, 7
Let g(l) be the first derivative of -46/39*l**3 + 8/13*l + 33/26*l**4 + 0*l**2 - 239 + 1/13*l**6 - 34/65*l**5. Solve g(v) = 0.
-1/3, 1, 2
Let g(x) be the third derivative of 0*x**3 + 1/40*x**7 - 3/16*x**6 + 12*x**2 + 0 + 0*x + 0*x**4 + 1/10*x**5. Factor g(h).
3*h**2*(h - 4)*(7*h - 2)/4
Let y(q) = -q**2 - 17*q - 6. Let s(t) = -2*t**2 - 32*t - 11. Suppose 9*w = 15*w - 66. Let b(n) = w*y(n) - 6*s(n). Factor b(z).
z*(z + 5)
Let y(t) be the third derivative of -t**5/20 - 21*t**4/8 - 27*t**3 + 44*t**2 + 3*t + 7. Determine k so that y(k) = 0.
-18, -3
Let j = -20074/459 - -746/17. Let a(f) be the first derivative of -j*f**3 + 8/9*f**2 + 7 + 0*f. What is s in a(s) = 0?
0, 4
Let d(x) be the third derivative of -x**7/105 + 29*x**6/20 - 741*x**5/10 + 4563*x**4/4 + 4*x**2 - 10*x. Solve d(f) = 0.
0, 9, 39
Let c = -231131/5 - -46229. Factor -16/5 - 108/5*q + c*q**3 + 6*q**2.
2*(q - 2)*(q + 4)*(7*q + 1)/5
Suppose 89*k**3 + 130*k**4 - 87*k**2 - 18*k**4 + 970040*k + 20 - 970072*k - 12*k**5 = 0. Calculate k.
-1, -2/3, 1/2, 10
Let l(y) be the second derivative of -y**4/54 - 146*y**3/27 - 5329*y**2/9 - 8*y + 15. Suppose l(d) = 0. What is d?
-73
Suppose 0 = 8*c + 22 - 70. Let y be (-5)/(33/(-6) + c + -3). Factor 5/2*t + 5/2*t**y - 5.
5*(t - 1)*(t + 2)/2
Factor -1/4*i**2 - 467/2*i - 218089/4.
-(i + 467)**2/4
Suppose -2*q + 6 = 9*t - 6*t, 0 = -t - q + 1. Factor -z**2 - 381*z + t + 193*z + 188*z.
-(z - 2)*(z + 2)
Let x(w) be the third derivative of 1/75*w**6 + 0 - 1/15*w**4 - 2*w - 4/75*w**5 + 2/5*w**3 + 20*w**2 + 2/525*w**7. Factor x(t).
4*(t - 1)**2*(t + 1)*(t + 3)/5
Let l = -317396 + 317398. Find w, given that -132/7 - 722/7*w - 968/7*w**l + 30/7*w**3 = 0.
-2/5, -1/3, 33
Suppose 0 = k + 13 - 318. Let n = 445 - k. Find v such that -980 - 5*v**2 + 0*v - n*v + 0*v**2 = 0.
-14
Let u = -996383 - -8967449/9. Factor -4/3*r**3 - 8/3 + 40/9*r - 2/3*r**2 + u*r**4.
2*(r - 6)*(r - 1)**2*(r + 2)/9
Suppose 9/2*p + 3*p**3 - 39/2*p**2 + 27 = 0. Calculate p.
-1, 3/2, 6
Let s(r) be the first derivative of 0*r + 34/3*r**2 - 242/9*r**3 + 52 + 7/6*r**4. Factor s(u).
2*u*(u - 17)*(7*u - 2)/3
Suppose -6*a = -5*a + 23*a. Let x(y) be the first derivative of 1/6*y**2 + a*y + 1/15*y**5 + 6 + 1/4*y**4 + 1/3*y**3. Factor x(v).
v*(v + 1)**3/3
Let o be (2/((-2275)/335 + 7) - -8) + (-54)/6. Factor -o*v + 4/7*v**2 - 64/7.
4*(v - 16)*(v + 1)/7
Let p be 630/294*(-4 + (-390)/(-80)). Factor 3/8*s**2 - 21/4 + p*s.
3*(s - 2)*(s + 7)/8
Let m = 351418 - 4568432/13. Solve 48/13 - 20/13*v + m*v**2 = 0 for v.
4, 6
Let l(g) = -12 + 5*g**2 - 8*g - 8*g + 20 - 7 + 15*g. Let i(o) = 16*o**2 + 100*o + 228. Let u(f) = -i(f) + 4*l(f). Solve u(j) = 0 for j.
-2, 28
Suppose -2450*c - 4*c**4 + 1377*c**3 + 232324 + 551*c**3 + 522*c - 232320*c**2 = 0. What is c?
-1, 1, 241
Let b(j) be the first derivative of j**4/32 + 85*j**3/24 + 293*j**2/4 + 136*j - 6763. Let b(f) = 0. What is f?
-68, -16, -1
Factor h**3 + 212*h**2 - 11681 - 4506 - 8054 + 1343 + 11021*h.
(h - 2)*(h + 107)**2
Let p be 37 + -39 + (1 - 4) + (2 - -3). Find y such that 6/11*y**3 - 2/11*y**4 + 0 + p*y**2 - 8/11*y = 0.
-1, 0, 2
Let f(g) = 44*g**2 + 4674*g + 1166. Let p(o) = 123*o**2 + 14024*o + 3499. Let h(x) = -22*f(x) + 8*p(x). What is n in h(n) = 0?
-585, -1/4
Let t(s) = -5*s**3 - 19*s**2 - 7*s + 7. Let x(m) = 12*m**2 - 119*m - 9. Let j be x(10). Let n(g) = -g**3 - 2*g**2 - g. Let p(b) = j*t(b) - 6*n(b). Factor p(y).
(y - 7)*(y - 1)*(y + 1)
Factor 63*y - 3/2*y**2 + 1029/2.
-3*(y - 49)*(y + 7)/2
Let z(q) = 16*q - 20. Let o be z(4). Let -30*b**2 - o*b**2 + 384 + 48*b**2 + 32*b + 2*b**3 = 0. Calculate b.
-3, 8
Factor 41*c**2 - 81*c**3 - 140*c**2 - 14*c**4 + 10*c**4 + 9*c - 9 - 60*c - 20*c**4.
-3*(c + 1)**3*(8*c + 3)
Let d be (-84)/(-24) - (-2355)/314*2/6. Let -d*g - 28/3 - 2/3*g**2 = 0. Calculate g.
-7, -2
Factor -459/5*y**2 + 0*y + 3/5*y**3 + 0.
3*y**2*(y - 153)/5
Suppose -4*x - 4*x = -48. Suppose 0 = -f + i, -5*f + 2*i + x = -0*i. Let -2*a**4 - 9*a**2 - 84*a**f - 33*a**2 - 23*a**3 - 7*a**3 - 98*a = 0. Calculate a.
-7, -1, 0
Let t be ((-390)/(-28)*(-31)/((-1240)/320))/((-72)/(-3136)). Factor 13520/3*u - 280/3*u**4 - t*u**2 + 5/3*u**5 + 0 + 1480*u**3.
5*u*(u - 26)**2*(u - 2)**2/3
Suppose n - 4*q = 252, 4*n - 1222 = -2*q - 214. Factor 2*a**5 - 70197*a**2 + 7769*a**3 + 2815*a**3 - 77979*a**2 - n*a**4.
2*a**2*(a - 42)**3
Let y(g) be the second derivative of g**5/100 + g**4/8 + 2*g**3/5 - 11*g**2 - 8*g. Let z(h) be the first derivative of y(h). Let z(t) = 0. Calculate t.
-4, -1
Let b(k) be the second derivative of 2*k**6/15 - 13*k**5/20 - 7*k**4/12 + 37*k**3/6 - 21*k**2/2 + 28*k + 10. Factor b(a).
(a - 3)*(a - 1)**2*(4*a + 7)
Let z(h) be the second derivative of -h**5/30 + 103*h**4/18 - 901*h**3/3 + 867*h**2 + 1435*h - 3. Suppose z(i) = 0. What is i?
1, 51
Let o be 3/(-1) - (-4 - (-3 + 0)). Let l(u) = -u**3 + u**2 - u - 1. Let y(x) = -7*x**3 - 17*x**2 - 4*x + 2. Let g(w) = o*l(w) - y(w). Factor g(n).
3*n*(n + 1)*(3*n + 2)
Find c such that -540/7 - 87/7*c - 3/7*c**2 = 0.
-20, -9
Suppose -50 = 22*w + 51 - 145. Let j(y) be the third derivative of 0*y + 5/12*y**4 - 5/2*y**3 + 1/12*y**5 + y**w + 19. Factor j(c).
5*(c - 1)*(c + 3)
Let o be 26/78 - 1150/(-6). Suppose o*w - 32 = 184*w. Solve g**2 + 1/2*g**3 + 5/2*g**5 + 0*g + 0 - w*g**4 = 0.
-2/5, 0, 1
Let r = 407477/9 + -45275. Find n, given that 8/9*n**3 + r*n**4 - 2/9*n**2 - 8/9*n + 0 = 0.
-4, -1, 0, 1
Let h = 5059 + -5059. Let u(a) be the second derivative of 7/100*a**5 + 1/12*a**4 + h + 2/5*a**2 + 12*a - 8/15*a**3. Factor u(y).
(y - 1)*(y + 2)*(7*y - 2)/5
Let m(i) be the third derivative of i**7/105 - 83*i**6/60 + 467*i**5/30 - 385*i**4/12 + 5*i**2 - 5*i + 2. Find u such that m(u) = 0.
0, 1, 5, 77
Factor -173384/5*y**3 + 37933056/5 - 2/5*y**5 + 10164672/5*y**2 + 1016/5*y**4 - 38610432/5*y.
-2*(y - 168)**3*(y - 2)**2/5
Let b(p) = -11*p**3 - 73*p**2 - 401*p - 273. Let l(d) = 65*d**3 + 440*d**2 + 2405*d + 1645. Let s(r) = 35*b(r) + 6*l(r). Factor s(y).
5*(y + 1)*(y + 7)*(y + 9)
Let v(x) = -5*x**4 - 35*x**3 + 446*x**2 - 420*x. Let z(c) = -10*c**4 - 70*c**3 + 885*c**2 - 840*c. Let d(o) = 5*v(o) - 2*z(o). Find f, given that d(f) = 0.
-14, 0, 1, 6
Let j(q) = -44*q**4 + 72*q**3 - 46*q**2 - 26*q + 26. Let o(h) = 5*h**4 - 93 + 5*h**2 - 8*h**3 + 188 - 98 + 3*h. Let r(z) = -6*j(z) - 52*o(z). Factor r(p).
4*p**2*(p - 2)**2
Let c(j) be the third derivative of -j**7/105 + j**6/40 + j**5/30 + 7*j**2 - 18. Factor c(l).
-l**2*(l - 2)*(2*l + 1)
Let t be ((-660)/4400)/(3/(-32)). Let p(m) be the third derivative of 0*m - 1/100*m**5 - m**2 + 0 - t*m**3 + 1/5*m**4. Find o such that p(o) = 0.
4
Let f(l) = 60*l**2 + 13964*l - 5589. Let h(v) = -23*v**2 - 6982*v + 2794. Let d(r) = 2*f(r) + 5*h(r). Suppose d(k) = 0. Calculate k.
2/5, 1396
Let x be ((-6)/27)/(8/(-12)). Let n(p) = 2*p**3 + 83*p**2 - 41*p + 42. Let d be n(-42). Determine k, given that x*k**2 + d - 1/3*k = 0.
0, 1
Let m(i) = 25*i + 34. Let y = 48 + -43. Let c be m(y). Find s such that -3*s**5 + 35*s - 40*s**2 + 10*s**3 - 2*s**5 - c + 10*s**4 + 149 = 0.
-2, 1
Let n(l) be the 