6)/(-27))/(2/6). Factor 9*a**2 + 2*a**2 - 3*a**4 - 14*a**3 + a**z + 7*a**2 + 200 + 298*a - 68*a.
-2*(a - 4)*(a + 1)*(a + 5)**2
Factor 0 - 102/7*t**3 - 2/7*t**4 - 1584/7*t**2 - 7776/7*t.
-2*t*(t + 12)**2*(t + 27)/7
Let i(q) be the first derivative of q**4/6 + 134*q**3/9 + 131*q**2/3 + 130*q/3 + 3751. What is m in i(m) = 0?
-65, -1
Let l = 25531/16488 - -13/1832. Factor -4/9*j**2 - 4/9*j**4 + 8/9 + 2/9*j**5 + l*j - 16/9*j**3.
2*(j - 4)*(j - 1)*(j + 1)**3/9
Let s = -852 - -752. Let y be -1 + (-12)/(-10) - 130/s. Factor -y*a**3 + 0*a**2 + 3/4 - 3/4*a**4 + 3/2*a.
-3*(a - 1)*(a + 1)**3/4
Let o be -6 - ((-103)/5)/(1/37). Let c = o - 755. Solve c - 3/5*z**3 + 3/5*z - 9/5*z**2 + 3/5*z**4 = 0 for z.
-1, 1, 2
Let i(y) be the first derivative of -y**5/25 + 13*y**4/10 - 169*y**3/15 + 1913. Factor i(x).
-x**2*(x - 13)**2/5
Let m(w) be the third derivative of -w**8/336 + w**7/70 + w**6/60 - w**5/10 - w**4/24 + w**3/2 + 3*w**2 - 216. Factor m(x).
-(x - 3)*(x - 1)**2*(x + 1)**2
Factor -7/8*b**2 - 121/8*b - 17/4.
-(b + 17)*(7*b + 2)/8
Let 2/3*w**2 + 896 - 200/3*w = 0. What is w?
16, 84
Let s(i) be the first derivative of i**6/21 + 24*i**5/35 + 18*i**4/7 + 794. Let s(d) = 0. What is d?
-6, 0
Let y(f) be the third derivative of f**7/210 - 3*f**6/10 + 29*f**5/30 + 483*f**4/2 - 5819*f**3/6 + 4784*f**2. What is c in y(c) = 0?
-11, 1, 23
Let m(i) be the third derivative of -i**5/330 - 725*i**4/22 - 1576875*i**3/11 + 2*i**2 + 495*i. Solve m(p) = 0.
-2175
Let y(s) be the third derivative of 0 + 2/15*s**5 - 61/12*s**4 + 0*s + 41*s**2 + 5*s**3. Factor y(k).
2*(k - 15)*(4*k - 1)
Let n(u) be the first derivative of u**3/24 - 59*u**2/16 - 195*u/4 + 8385. Suppose n(y) = 0. Calculate y.
-6, 65
Factor 17066*n**2 - 17161*n**2 - n**3 + 268 - 859*n - 1033.
-(n + 1)*(n + 9)*(n + 85)
Let b(z) be the first derivative of z**7/60 - z**6/90 + z**5/420 + z**3 + 71*z - 142. Let v(n) be the third derivative of b(n). Factor v(d).
2*d*(7*d - 1)**2/7
Let w be (0/((-1)/(-1)))/(-5 - -1). Factor 1 - 8*k + 7 + w*k**2 - 3*k**2 + 4 - k**2.
-4*(k - 1)*(k + 3)
Let o(n) = -17*n**3 + 48*n**2 + 297*n - 1719. Let j(c) = 4*c**3 - 12*c**2 - 74*c + 430. Let r(v) = -9*j(v) - 2*o(v). Solve r(i) = 0 for i.
-6, 6
Let z(f) be the third derivative of -f**6/72 + f**5/3 + 55*f**3/3 + 7*f**2. Let d(j) be the first derivative of z(j). Let d(w) = 0. Calculate w.
0, 8
Let t(w) be the second derivative of 11*w**7/147 + 512*w**6/105 + 864*w**5/35 + 1111*w**4/21 + 179*w**3/3 + 258*w**2/7 + w + 20. Find l such that t(l) = 0.
-43, -1, -6/11
Let u = -2 + 5. Suppose m = u*f + 8, m - f - 6 = f. Determine v, given that 4*v**m - 6*v**2 + 2*v**2 + v**2 = 0.
0
Let s(i) = -2352*i - 185805. Let f be s(-79). Solve 2*b**f + 0 + 8/3*b**2 - 2/3*b**4 - 8*b = 0 for b.
-2, 0, 2, 3
Let q = -1614374/15 + 107630. Find f, given that -q + 2/3*f**2 - 62/5*f = 0.
-2/5, 19
Let t be (47 - (-4522)/(-98))/((-12)/(-28)). Factor -6/5 - 2/5*y**t - 2/5*y**3 + 2*y.
-2*(y - 1)**2*(y + 3)/5
Let g = -1276828 - -3830488/3. Find b, given that -24 - g*b**3 + 1/3*b**4 + 22*b - 11/3*b**2 = 0.
-4, 2, 3
Let t(a) be the first derivative of 13/8*a**4 + 9/40*a**6 + 0*a + 6/5*a**5 - 6*a**2 + 26 + a**3. Let p(d) be the second derivative of t(d). Factor p(f).
3*(f + 2)*(3*f + 1)**2
Let p = 420 + -418. Factor 3362 + 21*w**2 + 164*w - 48*w**2 + 29*w**p.
2*(w + 41)**2
Let j(h) be the first derivative of -2*h**3/51 - 25*h**2/17 - 635. Suppose j(v) = 0. What is v?
-25, 0
Let w be 166/(-1743) - 4/(-42). Let h(v) be the second derivative of -2/75*v**6 + 0*v**4 + w - 1/15*v**3 + 0*v**2 - 4*v + 3/50*v**5. Factor h(c).
-2*c*(c - 1)**2*(2*c + 1)/5
Let n(y) be the third derivative of -y**5/210 - y**4/4 + 22*y**3/21 + 4208*y**2. Factor n(k).
-2*(k - 1)*(k + 22)/7
Let v = -3997 - -4001. Let z(p) be the first derivative of 20/3*p**3 + 4*p**2 + 9/2*p**v + 1/6*p**6 - 3 + 0*p + 7/5*p**5. Find g such that z(g) = 0.
-2, -1, 0
Factor -10/3*r + 1/6*r**3 + 4/3*r**2 + 0.
r*(r - 2)*(r + 10)/6
Let u = 6815031/7 + -973571. Suppose -u - 38/7*q**2 + 10*q + 2/7*q**3 = 0. What is q?
1, 17
Solve 26/5*x - 168/5 - 1/5*x**2 = 0 for x.
12, 14
Factor -303/4*j + 3/4*j**2 - 153/2.
3*(j - 102)*(j + 1)/4
Suppose -41*u + 6 = -39*u. Let f(n) = 4*n**2 + 22*n + 50. Let l(t) = -5*t**2 - 23*t - 50. Suppose 2 = 3*c - 4. Let s(z) = c*l(z) + u*f(z). Solve s(w) = 0 for w.
-5
Let q = 3684053/9 - 409339. Factor q*l**3 - 8/3*l**2 - 20/9 + 14/3*l.
2*(l - 10)*(l - 1)**2/9
Let v be (42/(-4))/((-4)/((-64)/(-12))). Factor 40 + v*p**2 + 91*p - 44*p + p**3 - 3*p.
(p + 2)**2*(p + 10)
Find a, given that -2*a**4 + 7*a + 90*a**3 - 412*a - 653*a - 111*a**2 - 855*a**2 = 0.
-1, 0, 23
Let s(z) be the first derivative of 3 - 70*z + 5/4*z**4 + 115/2*z**2 - 50/3*z**3. Determine o so that s(o) = 0.
1, 2, 7
Factor 215*z**3 + 136*z**2 - 52*z**3 + 323*z**3 + 21*z - 17*z - 626*z**2.
2*z*(z - 1)*(243*z - 2)
Suppose 17 - 15 = -2*l - w, -5*l - 2*w - 4 = 0. Let d(a) be the first derivative of l*a**2 - 20 - 1/18*a**4 + 0*a - 2/9*a**3. What is g in d(g) = 0?
-3, 0
Let r(a) = -2*a**3 - 132*a**2 - 40*a + 8. Let f(n) = n**3 + 89*n**2 + 25*n - 5. Let o(i) = 8*f(i) + 5*r(i). Factor o(z).
-2*z**2*(z - 26)
Let r(h) = 4*h**4 + 148*h**3 + 1400*h**2 + 1220*h - 9240. Let c(b) = -4*b**4 - 150*b**3 - 1402*b**2 - 1218*b + 9236. Let p(z) = 2*c(z) + 3*r(z). Factor p(i).
4*(i - 2)*(i + 4)*(i + 17)**2
Let q = -921 + 925. Let t(y) be the first derivative of y**5 - 18 - 5*y + 0*y**3 - 5*y**2 + 5/2*y**q. Factor t(z).
5*(z - 1)*(z + 1)**3
Let r(o) = -13*o**3 - 179*o**2 + 1078*o - 891. Let v(w) = 6*w**3 + 90*w**2 - 540*w + 446. Let m(z) = 2*r(z) + 5*v(z). Suppose m(u) = 0. What is u?
-28, 1, 4
Suppose 35*q + 2 = 36*q. Let i(w) = -2*w - 1. Let p be i(-5). Solve q + 15*r**2 - 27*r**2 + 9*r**2 - p*r - 8 = 0 for r.
-2, -1
Let w(f) be the second derivative of -5/12*f**4 - 16 - 5/6*f**3 + 1/6*f**6 + 0*f**2 + 1/4*f**5 - f. Factor w(s).
5*s*(s - 1)*(s + 1)**2
Let x(s) = s**3 + 3*s**2 - 29*s + 5. Let j be x(-7). Solve 17*w - 4*w**2 + 8*w + j*w + 28 - 13*w = 0 for w.
-1, 7
Let o(d) be the second derivative of -8*d + 27/8*d**4 + 3*d**3 + 1/360*d**6 + 0 + 3/20*d**5 + 0*d**2. Let z(w) be the second derivative of o(w). Factor z(c).
(c + 9)**2
Let j(m) = -12*m**2 - 8349*m - 1444719. Let a(i) = -3*i**2 - 2087*i - 361182. Let x(v) = 21*a(v) - 5*j(v). Factor x(q).
-3*(q + 347)**2
Let z(l) be the second derivative of -2*l**6/45 + 3*l**5/5 - 11*l**4/9 - 14*l**3/3 + 8*l + 29. Let z(f) = 0. Calculate f.
-1, 0, 3, 7
Let a = 183617/153010 - 1/30602. Factor 1/5*x**3 - a*x**2 + 12/5*x - 8/5.
(x - 2)**3/5
Suppose 9224*o = 9225*o + 3*k - 66, -5*o + k - 6 = 0. Factor 9/4*v**2 - 1/4*v**o + 0 + 9/4*v - 1/4*v**4.
-v*(v - 3)*(v + 1)*(v + 3)/4
Let r = 18145 - 18142. Let c(l) be the second derivative of -l - 3/14*l**4 - 1/7*l**r + 0 + 9/7*l**2 + 3/70*l**5. Suppose c(w) = 0. Calculate w.
-1, 1, 3
Let b(r) be the second derivative of 1/7*r**3 - 2/21*r**4 + 0*r**2 + 18 + 4*r + 1/70*r**5. Suppose b(u) = 0. What is u?
0, 1, 3
Let h(c) be the first derivative of c**7/210 - c**6/60 - c**5/15 + c**4/12 + c**3/2 + 32*c**2 - 127. Let f(y) be the second derivative of h(y). Factor f(l).
(l - 3)*(l - 1)*(l + 1)**2
Suppose 5*o - 3*q = -2*q + 816, 0 = -2*o - 5*q + 348. Suppose -33*f + 31*f + o = 0. Suppose -18 - 26*y + 214 + 4*y**2 + f*y = 0. What is y?
-7
Factor -7*a**3 + 271 - 112*a + 56*a - 84*a**2 + 3*a**3 + 209.
-4*(a - 2)*(a + 3)*(a + 20)
Let g(k) be the third derivative of -k**6/300 - 53*k**5/150 + 11*k**4/6 - 1486*k**2. Factor g(a).
-2*a*(a - 2)*(a + 55)/5
Let b be 22/(-33) + -2*(4 - 140/24). Let h(c) be the second derivative of 2/3*c**b + 0 + 0*c**2 + 1/12*c**4 - 2*c. Factor h(t).
t*(t + 4)
Factor -2*n**2 - 5339912 + 3988*n + 9860*n - 22600*n + 2216*n.
-2*(n + 1634)**2
Let s(n) be the first derivative of 1/12*n**3 + 5/4*n + 11 + 3/4*n**2. Factor s(c).
(c + 1)*(c + 5)/4
Factor 686/5 + 2056/5*n + 136*n**3 + 2052/5*n**2 - 2/5*n**4.
-2*(n - 343)*(n + 1)**3/5
Factor -86*h**2 + 35*h**2 - 16*h**3 - 302*h - 153*h**2 - 102 - 18*h - 30.
-4*(h + 1)*(h + 11)*(4*h + 3)
Let 68/5*f**2 - 24/5*f**4 - 44/5 - 16/5*f**3 + 18/5*f - 2/5*f**5 = 0. What is f?
-11, -2, -1, 1
What is l in -1/4*l**2 - 3*l + 13/4 = 0?
-13, 1
Let y(d) be the second derivative of -d**6/540 + d**4/27 + 141*d**2/2 - 3*d + 32. Let o(h) be the first derivativ