be the second derivative of -5*m**4/12 - 1000*m**3/3 - 100000*m**2 + 62*m. Factor g(h).
-5*(h + 200)**2
Let w(t) be the second derivative of -t**5/12 + 5*t**4/12 - 5*t**3/6 + 45*t**2/2 - t - 7. Let m(y) be the first derivative of w(y). Factor m(k).
-5*(k - 1)**2
Let i(j) be the third derivative of -j**5/120 - 9*j**4/16 + 7*j**3/3 + 20*j**2 - 4. Determine p so that i(p) = 0.
-28, 1
Let v(i) be the third derivative of -i**8/1344 + i**7/14 - 189*i**6/80 + 441*i**5/20 + 9261*i**4/32 + 215*i**2 + 2*i. Solve v(o) = 0.
-3, 0, 21
Let s(v) be the first derivative of v**5/15 + v**4/2 + 4*v**3/3 + 3*v**2 - 5. Let x(o) be the second derivative of s(o). What is y in x(y) = 0?
-2, -1
Let l be (-5 - -2)/(27/(-36)) + -2. Determine r so that 4*r**l + 12 - 10 + 3*r - 4 - 5*r = 0.
-1/2, 1
Let i(o) be the third derivative of o**6/1440 - o**5/160 + o**4/48 + 20*o**3/3 - 33*o**2. Let n(z) be the first derivative of i(z). Factor n(m).
(m - 2)*(m - 1)/4
Let w(i) = -2*i**2 - 228*i - 6489. Let v(g) = g**2 + 114*g + 3245. Let k(y) = -9*v(y) - 4*w(y). Factor k(p).
-(p + 57)**2
Let d(w) be the third derivative of w**7/630 + 3*w**6/80 - 19*w**5/60 + 85*w**4/144 - 2*w**2 - 210*w. Solve d(u) = 0.
-17, 0, 1, 5/2
Let t = -17565/4 + 87873/20. Factor -8/5 - 6/5*k**2 - t*k - 1/5*k**3.
-(k + 2)**3/5
Let z(s) be the first derivative of 2*s**3/33 - 2*s**2/11 - 6*s/11 - 21. Suppose z(r) = 0. What is r?
-1, 3
Let j(v) be the third derivative of v**8/84 - v**7/35 - v**6/3 - v**5/6 + 3*v**4/2 + 8*v**3/3 - 25*v**2 - 1. Suppose j(w) = 0. What is w?
-2, -1, -1/2, 1, 4
Let b(c) = -156*c**3 - 1044*c**2 - 437*c - 48. Let g(w) = 778*w**3 + 5220*w**2 + 2184*w + 240. Let r(x) = 16*b(x) + 3*g(x). Let r(d) = 0. Calculate d.
-6, -2/9
Let s(c) be the third derivative of -c**9/18144 + c**8/5040 - c**6/1080 + c**5/720 + c**3 - 10*c**2. Let l(a) be the first derivative of s(a). Factor l(y).
-y*(y - 1)**3*(y + 1)/6
What is r in 1/9*r**3 - 16/9 + 7/9*r**2 - 10/9*r = 0?
-8, -1, 2
Let h be 3 + 1*(3 + -3) + -1. Suppose a = 5, -11 = i + h*a - 5*a. Factor 1/4*c**i + 1/4*c**2 - 1/2*c**3 + 0*c + 0.
c**2*(c - 1)**2/4
Let r(g) = -5*g**2 - 43*g + 2. Let a(q) = -51*q**2 - 432*q + 21. Let m(b) = 2*a(b) - 21*r(b). Determine j so that m(j) = 0.
-13, 0
Let u(w) = 9*w**4 - 15*w**3 - 66*w**2 - 3*w - 6. Let c(o) = 16*o**4 - 29*o**3 - 131*o**2 - 5*o - 10. Let a(b) = -3*c(b) + 5*u(b). Factor a(s).
-3*s**2*(s - 7)*(s + 3)
Factor -5*r**4 - 12*r**3 + 78 - 6*r**2 + 4*r**4 + 52*r - 19 - 92.
-(r - 1)**2*(r + 3)*(r + 11)
Suppose -497*m = -517*m + 60. Factor -4/5 - 1/5*l**4 + 4/5*l + 3/5*l**2 - 2/5*l**m.
-(l - 1)**2*(l + 2)**2/5
Let z(v) be the first derivative of v**4/10 - 2*v**3/3 - 13*v**2/5 - 14*v/5 + 78. Factor z(r).
2*(r - 7)*(r + 1)**2/5
Let y(u) = 2*u**3 - 7*u**2 + 9*u. Let b be y(2). Let c(j) be the third derivative of 0*j**3 + 0*j + 0 - 1/8*j**4 - 1/15*j**5 - 6*j**2 - 1/120*j**b. Factor c(n).
-n*(n + 1)*(n + 3)
Let a(o) = o**3 + o**2 + 2*o + 2. Let p be 0/(3*8/(-12)). Let w be a(p). Factor 7/4*q**3 - 1 + 5*q - 23/4*q**w.
(q - 2)*(q - 1)*(7*q - 2)/4
Let b be (-1)/3 + 14/6. Let t = 40/29 - 73/116. Factor 1/4*l**3 + 0 + 0*l - t*l**b.
l**2*(l - 3)/4
Let b(k) be the third derivative of -k**11/166320 + k**9/30240 + 7*k**5/30 - 2*k**2. Let r(h) be the third derivative of b(h). Factor r(t).
-2*t**3*(t - 1)*(t + 1)
Let a be (-18)/44*1606/(-438). Let a*v**3 + 55/2*v + 25 - 14*v**2 = 0. Calculate v.
-2/3, 5
Let x(m) be the third derivative of m**5/60 + m**4/8 - 20*m**3/3 + 298*m**2. Factor x(g).
(g - 5)*(g + 8)
Factor -512 + 79*o**2 + 7*o**5 + 160*o**3 + o**5 + 30*o**4 + 241*o**2 - 2*o**5 - 4*o**5.
2*(o - 1)*(o + 4)**4
Factor 768*y**2 + 4256*y**2 + 156*y - 696*y + 12 + 1051*y**2.
3*(45*y - 2)**2
Suppose 2*f + 98 = 2*l, -2*f = -l + 172 - 72. Let a = 56 + f. Factor -4/5*v**2 - 2/5*v + 4/5*v**4 + 0*v**3 + 2/5*v**a + 0.
2*v*(v - 1)*(v + 1)**3/5
Factor 372/7*d**2 - 3/7*d**5 + 0 - 123/7*d + 132/7*d**4 - 54*d**3.
-3*d*(d - 41)*(d - 1)**3/7
Factor -2 - 4*x + 5/2*x**2.
(x - 2)*(5*x + 2)/2
Let o be 34/10 - 560/(-350). Factor 1/2*a**o + a**3 + 0*a + 0 + 0*a**2 + 3/2*a**4.
a**3*(a + 1)*(a + 2)/2
Factor -2/13*j**3 - 8/13*j**2 + 2/13*j**4 + 0 + 8/13*j.
2*j*(j - 2)*(j - 1)*(j + 2)/13
Let g(f) be the first derivative of f**4/4 + 2*f**3 - 7*f**2/2 + 64. Factor g(y).
y*(y - 1)*(y + 7)
Let n(k) be the first derivative of 2*k**3/57 - 166*k**2/19 + 13778*k/19 + 342. Let n(l) = 0. What is l?
83
Suppose -9*b + 105 = -10*b. Let t be 5*(4 + 402/b). Solve 2/7*x + 4/7*x**2 + 0 - t*x**3 = 0 for x.
-1/3, 0, 1
Let l = 9568/118975 - 2/4759. Let b(a) be the second derivative of 1/15*a**3 + l*a**5 - 4*a + 0 + 1/6*a**4 + 0*a**2. Factor b(h).
2*h*(h + 1)*(4*h + 1)/5
Let h(s) be the first derivative of 7 - 5*s + 25/6*s**3 - 15/4*s**2. Factor h(v).
5*(v - 1)*(5*v + 2)/2
Find o such that 11*o + 10 - 46*o**4 - 22 - 11*o**3 - 50*o**4 + 13*o**2 + 142*o**4 - 47*o**4 = 0.
-12, -1, 1
Let q(l) be the first derivative of 3*l**5/5 - 6*l**4 + 13*l**3 - 9*l**2 - 578. Factor q(h).
3*h*(h - 6)*(h - 1)**2
Let x(q) be the second derivative of q**5/25 + q**4/6 - 4*q**3/15 - 3*q**2/5 - 39*q. Solve x(s) = 0.
-3, -1/2, 1
Let h(i) be the first derivative of -4*i**3/3 - 138*i**2 + 568*i - 569. Factor h(f).
-4*(f - 2)*(f + 71)
Suppose 27*v + 32 = 167. Let i(l) be the third derivative of 0 - 1/60*l**v - 1/12*l**4 + 0*l + 0*l**3 - 7*l**2. Find a, given that i(a) = 0.
-2, 0
Let a(n) be the first derivative of -n**5/25 + n**3/5 - n**2/5 - 44. Factor a(c).
-c*(c - 1)**2*(c + 2)/5
Factor -23*r**3 + 20*r**2 - 16 - 8*r**2 + 19*r**3.
-4*(r - 2)**2*(r + 1)
Let o(l) be the third derivative of l**5/20 - l**4/8 + 168*l**2. Factor o(w).
3*w*(w - 1)
Let u(f) be the second derivative of f**4/12 - 5*f**3/6 - 105*f. Find a such that u(a) = 0.
0, 5
Let a(i) be the first derivative of 2*i**3/33 + 32*i**2/11 + 512*i/11 + 8. Find b such that a(b) = 0.
-16
Suppose 310/9*k**3 + 4 - 506/9*k**2 + 22/3*k - 50/9*k**4 = 0. What is k?
-1/5, 2/5, 3
Let n(y) be the first derivative of 2 - y**3 + y**2 - 1/8*y**4 + 0*y + 1/20*y**5. Let g(h) be the second derivative of n(h). Find q, given that g(q) = 0.
-1, 2
Suppose 7*t + 1192 = 142*t + 14*t. Suppose 11/2*b**3 + 21/2*b**2 + 2 + t*b + b**4 = 0. Calculate b.
-2, -1, -1/2
Factor 0*q**3 + 5*q**4 - 580*q + 437 - 30*q**2 + 45*q**3 - 55 + 458.
5*(q - 2)**2*(q + 6)*(q + 7)
Let m(u) be the second derivative of -1/42*u**4 - 1/42*u**7 + 0 - 23*u - 8/105*u**6 + 0*u**3 + 0*u**2 - 11/140*u**5. Determine w so that m(w) = 0.
-1, -2/7, 0
Let h(o) = 5*o**3 - 5*o**2 - o + 5. Let m = -6 - -13. Let n = m + 0. Let c(z) = -16*z**3 + 16*z**2 + 2*z - 16. Let u(p) = n*h(p) + 2*c(p). Factor u(b).
3*(b - 1)**2*(b + 1)
Let b = 1484 + -23743/16. Let r(z) be the first derivative of b*z**2 + 0*z**4 - 1/20*z**5 + 1/12*z**3 - 1/48*z**6 + 9 + 0*z. Solve r(p) = 0.
-1, 0, 1
Let w be 1092/494 + 4/(-19). Factor 18/5 - 6/5*y**w - 12/5*y.
-6*(y - 1)*(y + 3)/5
Let o be (4/10)/(3/30). Suppose -o*k = -2*x + k + 16, -5*k = 5*x - 5. Factor -17*q**4 + 26*q**4 + 3*q + 21*q**2 - 9*q - 24*q**x.
3*q*(q - 1)**2*(3*q - 2)
Let s(x) be the third derivative of -5*x**8/336 + x**7/7 + 47*x**6/24 + 7*x**5 + 55*x**4/6 + 134*x**2. Find q such that s(q) = 0.
-2, -1, 0, 11
Let s(n) be the third derivative of -n**7/490 + n**6/140 + 3*n**5/140 + 2*n**2 - 2. Factor s(c).
-3*c**2*(c - 3)*(c + 1)/7
Let n(j) be the second derivative of 0*j**2 + 0*j**4 + 1/10*j**5 + 0 - 1/3*j**3 + 2*j. Factor n(r).
2*r*(r - 1)*(r + 1)
Factor 1111*u**2 + 12*u + 9*u - 38 - 1112*u**2.
-(u - 19)*(u - 2)
Let c(u) be the third derivative of -u**5/100 + u**4/10 - 2*u**3/5 - 2*u**2 - 4. Factor c(d).
-3*(d - 2)**2/5
Let u(w) be the third derivative of -1/300*w**6 - 1/525*w**7 + 0 + 1/12*w**4 + 0*w + 1/50*w**5 + 8*w**2 + 2/15*w**3. Factor u(p).
-2*(p - 2)*(p + 1)**3/5
Find o, given that 121/7*o**2 + 0*o + 1/7*o**4 - 22/7*o**3 + 0 = 0.
0, 11
Let x(w) be the first derivative of 3/2*w + 3/16*w**4 - 15/8*w**2 - 19 - 3/20*w**5 + 3/4*w**3. Find i, given that x(i) = 0.
-2, 1
Let v = -902 + 1811/2. Suppose -3 + 1/6*g**2 + 5/6*g**3 + 1/6*g**4 - v*g = 0. Calculate g.
-3, -1, 2
Let o = 2173 + -2169. Suppose -1/11*t**5 + 1/11*t**o + 0 + t**2 + 9/11*t**3 + 4/11*t = 0. Calculate t.
-1, 0, 4
Let b(f) = -f**2 + 2*f + 2. Let c(x) = 9*x**2 - 306*x + 5466. Let w(q) = 5*b(q) + c(q). F