) be the second derivative of -i**8/336 - i**7/70 - i**6/60 - 29*i**2/2 + 71*i. Let m(n) be the first derivative of k(n). Factor m(a).
-a**3*(a + 1)*(a + 2)
Determine y, given that -38/5*y**3 - 84/5 - 362/5*y**2 - 394/5*y + 14/5*y**4 = 0.
-3, -1, -2/7, 7
Let t be 7/(-14)*(0 - 0). Suppose -9 = -3*b, t = 2*g + 2*g - 5*b + 3. Solve 13*o**4 - 89*o**3 + 61*o**3 + 3*o**2 - 8*o + 3*o**5 + 45*o**g - 4 = 0 for o.
-2, -1, 2/3
Let o(c) be the third derivative of c**8/15960 + 8*c**7/1995 + 89*c**3/6 + 52*c**2 + c. Let j(l) be the first derivative of o(l). Let j(r) = 0. What is r?
-32, 0
Let s(v) be the first derivative of 0*v - 21/5*v**5 + 82 + 1/2*v**6 + 9*v**4 - 24*v**2 + 4*v**3. What is t in s(t) = 0?
-1, 0, 2, 4
Let k = 1062 + -1058. Let p(j) be the third derivative of 21*j**2 + 1/480*j**6 + 1/4*j**3 + 1/60*j**5 + 0 + 0*j - 11/96*j**k. Factor p(y).
(y - 1)**2*(y + 6)/4
Let v = -4 - -6. Factor -20*s - 2 - 43 - 2*s**v - 2 - 3.
-2*(s + 5)**2
Let f(t) be the third derivative of -t**8/168 - t**7/105 + 3*t**6/20 + 3*t**5/10 - 1483*t**2. Solve f(u) = 0.
-3, -1, 0, 3
Let c = 109573 - 547844/5. Factor c*t**3 - 9/5*t**4 + 0 + 6/5*t + 1/5*t**5 - 19/5*t**2.
t*(t - 6)*(t - 1)**3/5
Let o(f) be the third derivative of 0 + 0*f - 1/8*f**4 - 7/16*f**3 - 1/160*f**5 + 201*f**2. Factor o(g).
-3*(g + 1)*(g + 7)/8
Let n(b) = 7*b - 102. Let u be n(17). Suppose -21*v**5 + 9*v**5 + 2*v**3 - 6*v**2 - u*v**3 - 24*v**4 + 3*v**2 = 0. What is v?
-1, -1/2, 0
Factor 0*v**2 + 0*v + 3/5*v**4 - 42/5*v**3 + 0.
3*v**3*(v - 14)/5
Suppose -4*w - 24 = -h, 3*h - 9*w = -5*w + 32. Let i(k) be the first derivative of -72*k + 5 - 18*k**2 - 2*k**3 - 1/12*k**h. Suppose i(p) = 0. What is p?
-6
Let s(d) be the first derivative of -1/3*d**6 - 16/5*d**5 - 3*d**4 + 0*d + 98 + 80/3*d**3 - 25*d**2. Factor s(x).
-2*x*(x - 1)**2*(x + 5)**2
Let j = -3699 + 184983/50. Let t(h) be the second derivative of 0 + j*h**5 - 1/10*h**6 + 4/5*h**3 + 0*h**2 + 2*h - 7/5*h**4. Find d, given that t(d) = 0.
0, 2/5, 2
Let f(y) be the first derivative of -3*y**6/10 - 7*y**5/15 + y**4/3 - 9*y**2 + 2*y - 104. Let p(v) be the second derivative of f(v). Solve p(k) = 0 for k.
-1, 0, 2/9
Let d = 98 + -74. Suppose -9*a - 3*a = -d. Determine s, given that -1 + 22*s**2 + 2*s - 16*s**2 - 7*s**a = 0.
1
Factor 358651800/11*y - 355914000/11 - 2744820/11*y**2 + 7026/11*y**3 - 6/11*y**4.
-6*(y - 390)**3*(y - 1)/11
Factor -17*g + 1/4*g**2 - 213/4.
(g - 71)*(g + 3)/4
Let q be ((-28)/8)/(26/(-208)). Suppose g = -q*g. Factor 0*d + 4/9*d**2 + 2/9*d**3 + g.
2*d**2*(d + 2)/9
Let s(j) be the first derivative of 350*j**3/3 + 260*j**2 + 1352*j/7 - 4040. Factor s(f).
2*(35*f + 26)**2/7
Let y(s) be the second derivative of -s**6/330 + 3*s**5/44 - 27*s**4/44 + 63*s**3/22 - 81*s**2/11 - 2419*s. Find g, given that y(g) = 0.
3, 6
Suppose -3*j - 14*q + 9*q + 6927 = 0, 4*j - 3*q - 9207 = 0. Find k, given that 1209*k - 3281*k**4 - 676*k**2 - j + 88*k**3 + 3277*k**4 + 903*k = 0.
3, 8
Let z(c) = 44*c**3 + 144*c**2 + 612*c + 856. Let q(r) = -5*r**3 - 3*r**2 + 1. Let a(n) = 8*q(n) + z(n). Factor a(k).
4*(k + 3)**2*(k + 24)
Let t = 629053 + -629051. Determine k, given that 16*k**3 - 14/5*k**4 - 102/5*k**t + 0 - 36/5*k = 0.
-2/7, 0, 3
Determine r so that -10144*r**3 + 10258*r**3 + 9*r**4 + 132 - 340*r + 83*r**2 + 50*r**2 = 0.
-11, -3, 2/3
Let m(t) be the second derivative of -10/3*t**3 - 1/6*t**4 - 10*t - 9*t**2 + 0. Suppose m(l) = 0. What is l?
-9, -1
Factor -1401*g - 9 + 27 - 4*g**2 - 18 + 153*g.
-4*g*(g + 312)
Let v(q) be the third derivative of -2*q**7/105 + 6*q**6/5 + q**5/5 - 55*q**4/3 + 48*q**3 + 1487*q**2. Determine w, given that v(w) = 0.
-2, 1, 36
Let h be (5432/(-805))/(-8) - 1/(-5). Let w = h + -26/69. Factor 0 + 0*y**3 + w*y**4 - 1/3*y - 2/3*y**2 + 1/3*y**5.
y*(y - 1)*(y + 1)**3/3
Let i(g) = -4*g**2 - 29*g + 51. Let t(w) = -w**2 - 7*w + 12. Suppose -30 + 120 = 10*l. Let q(c) = l*t(c) - 2*i(c). Factor q(v).
-(v - 1)*(v + 6)
Let g(k) = -19*k + 569. Let v be g(54). Let p = v - -1831/4. Solve p*b + 0 + b**2 = 0.
-3/4, 0
Let n(z) = -4*z**3 + 42*z**2 - 120*z + 119. Let h(g) = 3*g**3 - 39*g**2 + 120*g - 118. Let k(a) = -3*h(a) - 2*n(a). Factor k(b).
-(b - 29)*(b - 2)**2
Suppose -4*u + 0 = -20. Let l be (114/209*22)/((-10)/(-5)). Find v, given that l*v**2 - 14*v**2 + u*v**5 + 13*v**2 + 15*v**4 + 15*v**3 = 0.
-1, 0
Let y be 3 - (5 + -6) - 2/2. Let d be y + (-7)/2 + (-531)/(-6). Factor t**3 - d*t**2 + t + 0*t**3 + 0*t**3 + 86*t**2.
t*(t - 1)**2
Let j(x) be the first derivative of 3*x**4/4 + 21*x**3 + 216*x**2 + 972*x - 1017. Factor j(s).
3*(s + 6)**2*(s + 9)
Factor -100/13*j**3 + 22/13 + 30/13*j**4 + 140/13*j**2 - 90/13*j - 2/13*j**5.
-2*(j - 11)*(j - 1)**4/13
Let x(m) be the first derivative of -m**3/3 - 250*m**2 - 62500*m - 375. Let x(y) = 0. Calculate y.
-250
Let l(x) be the first derivative of -2*x**6/21 + 20*x**5/7 + 26*x**4/7 + 2520. Solve l(n) = 0 for n.
-1, 0, 26
Solve -2/9*v**3 + 2/9*v - 46/3*v**2 + 46/3 = 0 for v.
-69, -1, 1
Let p(l) = 3*l**3 + 8*l**2 + 3*l - 17. Let k be p(10). Factor 16*n**3 - k + 3813 - 18*n + 2*n**5 + 12*n**4 - 12*n**2.
2*n*(n - 1)*(n + 1)*(n + 3)**2
Let g(o) be the first derivative of o**4/3 + 40*o**3/3 + 72*o**2 - 126*o - 110. Let n(l) be the first derivative of g(l). Factor n(c).
4*(c + 2)*(c + 18)
Let y = -428 - -740. Let v = y - 922/3. Suppose -4/3*s**2 + 8/3 - v*s = 0. Calculate s.
-4, 1/2
Suppose 3*y - 7 + 1 = 0. Let a = 459 + -459. Find u, given that -u**y - u + a*u**2 + 0*u**2 + 0*u**2 = 0.
-1, 0
Let u = 287291/3 - 96709. Let x = u + 948. Factor -4/3*j + 8/3*j**3 + 2*j**2 - x*j**4 - 2/3.
-2*(j - 1)**2*(2*j + 1)**2/3
Determine x so that 1371*x**3 + 675*x + 997*x + 4092*x**2 + 3*x**4 + 1052*x = 0.
-454, -2, -1, 0
Let n(f) = -7*f**3 + 38*f**2 - 285*f + 444. Let k(a) = -10*a**3 + 38*a**2 - 286*a + 442. Let q(i) = -3*k(i) + 4*n(i). Determine o, given that q(o) = 0.
-25, 3
Suppose -3*x + 32*o - 3 = 29*o, -5*x = 5*o - 85. Factor -x*i - 8/9 - 18*i**2.
-2*(9*i + 2)**2/9
Let n(g) be the first derivative of -5*g**3 - 7/8*g**4 + 0*g + 12*g**2 - 1/20*g**5 + 44. Let a(c) be the second derivative of n(c). Factor a(v).
-3*(v + 2)*(v + 5)
Let z(q) = q**4 + q**3 - q - 1. Let i(o) = o**4 - 2*o**3 + 5*o**2 - 2*o - 2. Let y = -161 + 165. Let x(v) = y*z(v) - 2*i(v). Determine g so that x(g) = 0.
-5, 0, 1
Let y = -8546/3 + 2850. Let r(f) be the first derivative of -20 + y*f**3 - 4*f + f**2 - 1/2*f**4. Suppose r(u) = 0. What is u?
-1, 1, 2
Let c(w) = 6*w**2 - 636*w - 47436. Let v(j) = -4*j**2 + 631*j + 47435. Let s(p) = -3*c(p) - 4*v(p). Solve s(f) = 0.
-154
Let b = 223 + -226. Let a(u) = -u**4 - u**3 + u + 2. Let w(y) = 5*y**4 + 13*y**3 + 12*y**2 - 3*y - 6. Let l(x) = b*a(x) - w(x). Factor l(h).
-2*h**2*(h + 2)*(h + 3)
Let n = 8619 - 8615. Let p(d) be the first derivative of -2/3*d**3 - 8*d - 12 - n*d**2. Factor p(u).
-2*(u + 2)**2
Let a(c) = c**3 + 5*c - 1. Let w(f) = 25*f**3 + 125*f**2 + 315*f - 365. Let g(o) = -20*a(o) + w(o). Factor g(r).
5*(r - 1)*(r + 3)*(r + 23)
Let c(s) be the third derivative of -s**5/420 + 115*s**4/42 - 2*s**2 - 435. Factor c(i).
-i*(i - 460)/7
Let p(q) be the second derivative of 5 + 8*q**2 + 11/21*q**4 + 1/35*q**5 - 80/21*q**3 + 6*q. Solve p(w) = 0 for w.
-14, 1, 2
Factor 325*y + 2*y**2 - 792*y + 1041*y.
2*y*(y + 287)
Let p(n) be the first derivative of 2/45*n**5 + 52/9*n**3 - 400/9*n - 19/18*n**4 + 46 + 140/9*n**2. What is y in p(y) = 0?
-2, 1, 10
Let a(o) be the first derivative of -4*o**4/13 + 6*o**3/13 + 6*o**2/13 - 14*o/13 + 1169. Suppose a(l) = 0. Calculate l.
-7/8, 1
Suppose 3/4*b**4 + 273/4*b**3 + 0 + 5781/4*b**2 - 19881/4*b = 0. What is b?
-47, 0, 3
Let t(k) be the second derivative of -k**7/1120 + 7*k**6/480 - k**3/3 - 4*k**2 + 54*k. Let r(g) be the second derivative of t(g). Factor r(p).
-3*p**2*(p - 7)/4
Let t = 393 - 646. Let p = t - -1775/7. Factor 2/7*j**2 - p - 2/7*j.
2*(j - 2)*(j + 1)/7
Suppose -4*s - 15 = -9*s. Let q(m) = 20*m**2 - 169*m - 75. Let o(k) = 60*k**2 - 506*k - 226. Let y(z) = s*o(z) - 10*q(z). Factor y(f).
-4*(f - 9)*(5*f + 2)
Let p = -30473/3 + 10159. Let c(a) be the second derivative of 1/6*a**4 + 0*a**3 + 1/30*a**5 - 23*a + 0 - p*a**2. Factor c(q).
2*(q - 1)*(q + 2)**2/3
Let k(m) = -m**2 - 32*m + 234. Let j be k(6). Suppose -6 = 2*t - 5*g, 7*g + j = 4*t + 6*g. Suppose -12 - 4/3*a