*8/112 - 143*o**7/70 - 1973*o**6/20 + 8189*o**5/2 - 448325*o**4/8 + 780125*o**3/2 - 8*o**2 - 554. Factor x(l).
-3*(l - 5)**3*(l + 79)**2
Let y(n) be the second derivative of -n**4/60 - 29*n**3/30 + 31*n**2/5 + 2207*n - 1. Factor y(k).
-(k - 2)*(k + 31)/5
Let d(k) be the second derivative of -k**4/12 + 29*k**3/6 + 15*k**2 - 2*k + 696. Suppose d(p) = 0. Calculate p.
-1, 30
Factor 1/9*z**3 + 145157/9*z + 293378/9 - 764/9*z**2.
(z - 383)**2*(z + 2)/9
Let y = -75499 + 377511/5. Factor y - 2/5*t**3 - 34/5*t + 4*t**2.
-2*(t - 8)*(t - 1)**2/5
Let 2/13*q**5 - 168/13*q**3 + 0*q**2 + 0 - 16/13*q**4 + 0*q = 0. What is q?
-6, 0, 14
Let b(a) be the third derivative of 169*a**6/40 - 247*a**5/10 + 87*a**4/2 - 36*a**3 - 11285*a**2. Suppose b(m) = 0. What is m?
6/13, 2
Factor -64 - 2468/11*v - 14/11*v**2.
-2*(v + 176)*(7*v + 2)/11
Let g = -56695 + 56698. Suppose -2/13*h**g + 2/13*h - 2/13*h**4 - 4/13 + 6/13*h**2 = 0. Calculate h.
-2, -1, 1
Let o(c) = 125*c**3 + 97*c**2 - 28*c - 13. Let j(i) = 50*i**3 + 39*i**2 - 11*i - 5. Let g(h) = 13*j(h) - 5*o(h). Factor g(r).
r*(r + 1)*(25*r - 3)
Let n(o) be the third derivative of -o**7/105 - 3*o**6/4 + o**5/30 + 15*o**4/4 - 222*o**2. Find i such that n(i) = 0.
-45, -1, 0, 1
Factor -69/2*j - 387/4 - 3/4*j**2.
-3*(j + 3)*(j + 43)/4
Let t(f) be the first derivative of 125*f**4/4 + 1150*f**3 - 1395*f**2/2 + 140*f + 40. Find w, given that t(w) = 0.
-28, 1/5
Let k = 522 - -407. Suppose -q**3 - 941*q - 15*q**2 + k*q - 2*q**3 = 0. Calculate q.
-4, -1, 0
Let b = -139/9 - -287/18. Let j(k) be the first derivative of b*k**3 + 39/16*k**4 + 3*k**5 + 15 + 9/8*k**6 + 0*k + 0*k**2. Let j(s) = 0. What is s?
-1, -2/9, 0
Let v = 899831/9 - 99981. Factor 0 + 0*l - v*l**3 - 2/3*l**2.
-2*l**2*(l + 3)/9
Let j(k) be the third derivative of -k**7/420 - 19*k**6/80 - 43*k**5/24 - 53*k**4/16 - 2*k**2 + 898*k. Factor j(q).
-q*(q + 1)*(q + 3)*(q + 53)/2
Let i(a) be the first derivative of 2*a**3/3 + 2317*a**2 - 7631. Suppose i(n) = 0. Calculate n.
-2317, 0
Let n(z) be the first derivative of 15*z**4 + 35*z**3/3 - 30*z**2 - 35*z - 1008. Let n(y) = 0. Calculate y.
-1, -7/12, 1
Suppose -3*n + 4*u + 4 = -2, 2*n - 4 = u. Let o(r) = -r**3 + 17*r**2 - 23*r + 120. Let d be o(16). Factor k - d*k - 16 - 17*k - 20 - 4*k**n.
-4*(k + 3)**2
Factor -3/2*h**5 - 259584*h + 0 - 514179/2*h**3 - 1245*h**4 + 517920*h**2.
-3*h*(h - 1)**2*(h + 416)**2/2
Suppose 3*h = 3*w + 2*w + 11, -w - 4 = 0. Let q be (6/12*h)/(-3). Suppose -7/6*o + q*o**2 + 2/3 = 0. Calculate o.
1, 4/3
Let i(y) be the first derivative of y**7/315 - y**6/45 + y**5/30 + 34*y**2 - 133. Let a(j) be the second derivative of i(j). Find d, given that a(d) = 0.
0, 1, 3
Let z(b) be the first derivative of b**4/12 + 4*b**3/3 - 9*b**2/2 - 30*b + 103. Let q(j) be the first derivative of z(j). Factor q(l).
(l - 1)*(l + 9)
Let h(g) = -20*g**3 + 5392*g**2 - 347272*g - 3135976. Let m(q) = 4*q**3 - 1078*q**2 + 69455*q + 627195. Let v(p) = -5*h(p) - 24*m(p). Solve v(f) = 0 for f.
-8, 140
Let 1/2*x**5 - 483/2*x + 241*x**3 - 441/2 + 43/2*x**4 + 199*x**2 = 0. Calculate x.
-21, -1, 1
Let b be (40/24)/(10/6). Let s be ((-9)/(-12) - b) + (-260)/(-80). Factor 4/7*q**s - 4/7 - 4/7*q + 1/7*q**4 + 3/7*q**2.
(q - 1)*(q + 1)*(q + 2)**2/7
Let g = -1017 - -694. Let o = g + 1618/5. Factor 0 + o*q**2 + 9/5*q.
3*q*(q + 3)/5
Let n(f) be the first derivative of -4*f**6/3 + 142*f**5/45 + 20*f**4/9 - 50*f**3/9 - 4*f**2/9 + 8*f/9 - 352. Suppose n(i) = 0. What is i?
-1, -1/4, 2/9, 1, 2
Let c(a) be the third derivative of 3*a**6/100 - 332*a**5/75 + 12173*a**4/60 + 2738*a**3/15 + 18*a**2 - 6*a. Factor c(z).
2*(z - 37)**2*(9*z + 2)/5
Let v be 25/30*6*4/96*6. Let l be (-6)/(-4)*2*1. Suppose -1/4*x**4 + 3/4*x + v*x**2 + 1/4*x**l + 0 = 0. What is x?
-1, 0, 3
Let t(c) be the third derivative of 1/420*c**7 + 0*c**3 + 3/40*c**5 + 0*c - 1/40*c**6 + 0 - 1/12*c**4 + 39*c**2. Factor t(v).
v*(v - 4)*(v - 1)**2/2
Let d(r) be the first derivative of 1/3*r**6 + 1/2*r**4 - 8/5*r**5 + 124 + 20/3*r**3 - 4*r**2 - 16*r. What is p in d(p) = 0?
-1, 2
Let h(n) be the first derivative of -1/26*n**4 - 4/13*n**3 - 75 - 9/13*n**2 + 0*n. Solve h(z) = 0.
-3, 0
Let r(u) = -16*u**2 + 162*u - 536. Let m(n) = 11*n**2 - 108*n + 355. Let g(x) = 7*m(x) + 5*r(x). Factor g(c).
-3*(c - 13)*(c - 5)
Let v be (-5)/(2 + (-3 - -2)). Let b(a) = a**2 + 2*a - 11. Let m be b(v). Determine g, given that -3*g**5 - 12*g**3 + 5*g**4 + g**m - 8*g**4 - 10*g**4 = 0.
-2, 0
Suppose 3/5*v**3 + 18/5*v**2 - 21/5*v + 0 = 0. Calculate v.
-7, 0, 1
Factor 3*s**2 + 702 - 6*s**2 - 75232*s + 75319*s + 4*s**2.
(s + 9)*(s + 78)
Determine w so that -1026675 - 104060*w - 3*w**4 - 87392*w + 708*w**2 - 348*w**3 - 5617*w**2 - 8693*w**2 - 12128*w = 0.
-45, -13
Let -29/4*a**4 + 0 - 127/4*a**3 - 33/2*a + 1/4*a**5 - 163/4*a**2 = 0. Calculate a.
-2, -1, 0, 33
Let m(k) be the third derivative of -k**5/20 + 15*k**4/4 - 108*k**3 - 10*k**2 + 12*k + 17. Determine c, given that m(c) = 0.
12, 18
Suppose 86175*l = 86227*l - 208. Let z be 1/4 - 3/(-12). Factor 1/4*u**l + 0 - z*u**3 + 0*u**2 + 0*u.
u**3*(u - 2)/4
Let v(x) be the third derivative of x**5/12 - 55*x**4/6 + 70*x**3 - 650*x**2 - 1. Factor v(y).
5*(y - 42)*(y - 2)
Let b(n) = 12*n - 310. Let f be b(26). Let h(a) be the second derivative of 0 + 1/30*a**4 + 12*a + 0*a**3 - 1/150*a**6 + 0*a**5 - 1/10*a**f. Factor h(s).
-(s - 1)**2*(s + 1)**2/5
Let j(m) be the second derivative of -m**4/54 + 353*m**3/27 - 352*m**2/9 - 2881*m. Factor j(q).
-2*(q - 352)*(q - 1)/9
Suppose 0 = -240*j + 220*j - 4*d - 52, 5*d + 115 = 0. Solve -2/5*p**j - 2/5 + 4/5*p**4 - 9/5*p**3 + 9/5*p = 0 for p.
-1, 1/4, 1, 2
Suppose -2*o**3 - 48*o**2 + 7*o + 0*o + 2*o + 72574 - 72544 + 18*o**4 - 3*o**5 - 4*o**3 = 0. What is o?
-1, 1, 2, 5
Find m, given that -3/2*m**5 + 54*m**4 + 768 - 2016*m - 1167/2*m**3 + 1779*m**2 = 0.
1, 2, 16
Let x(r) = -10*r**4 + 4*r**3 + 20*r**2. Let m(y) = 5*y**3 + 5*y - 165 + 19*y**2 - 8*y**4 + 165 - 4*y. Let j(s) = -6*m(s) + 5*x(s). Factor j(i).
-2*i*(i + 1)**2*(i + 3)
Suppose 22/9*k**4 + 56/9*k**5 - 178/9*k**2 - 4/9 - 166/9*k**3 - 50/9*k = 0. What is k?
-1, -1/4, -1/7, 2
Let p(h) = -h - 34. Let d be p(-52). Let y be (-4)/(-40) + d/(-180). Factor 14/9*b**3 + 16/9*b**2 + y - 32/9*b + 2/9*b**4.
2*b*(b - 1)*(b + 4)**2/9
Let k(a) = -a**5 - a**4 + a**3 + 1. Let u = 403 + -402. Let p(o) = 3*o**5 - 17*o**4 + 41*o**3 - 38*o**2 + 12*o - 1. Let l(g) = u*k(g) + p(g). Factor l(c).
2*c*(c - 6)*(c - 1)**3
Let z(l) be the third derivative of 0*l**4 + 8/1155*l**7 - 12 + 1/660*l**6 + 0*l + 0*l**3 + 0*l**5 + 2/231*l**8 + 2*l**2. Determine m, given that z(m) = 0.
-1/4, 0
Let l(x) be the first derivative of 2*x**5/15 + x**4/6 - 772*x**3/9 - 928*x**2 + 2112*x - 720. Find u, given that l(u) = 0.
-12, 1, 22
Factor -2*y**4 + 297*y**3 - y**4 - y**2 - 4*y**4 - 295*y**3 + 6*y**4.
-y**2*(y - 1)**2
Let i(g) be the first derivative of -4*g**3/3 - 5736*g**2 - 8225424*g + 2502. Factor i(k).
-4*(k + 1434)**2
Let v be (-6)/48 - 1411/(-664). Determine o so that 19/6*o + 29/6*o**v + o**3 - 2/3 = 0.
-4, -1, 1/6
Let m be -7 + 1 + 100/5. Suppose -1827*p + 1834*p = m. Let -46/7*c**3 - 8/7*c + 0 - p*c**4 - 40/7*c**2 = 0. Calculate c.
-2, -1, -2/7, 0
Let c(w) be the first derivative of 3*w**6/2 - 132*w**5/5 + 261*w**4/2 - 192*w**3 + 69*w**2/2 + 108*w - 539. Solve c(l) = 0.
-1/3, 1, 4, 9
Suppose 0 = 3*x, -2*q - 670 = -3*x - 24. Let c be (q/(-285))/((-6)/(-15)). Determine r so that -1/3 - 8/3*r**3 - 20/3*r**2 - c*r = 0.
-2, -1/4
Factor 32/7*m - 384/7 + 10/7*m**2.
2*(m + 8)*(5*m - 24)/7
Let d(y) = 2*y**2 - 63*y + 120. Let x be d(2). Let v(s) be the first derivative of 4/3*s**3 - 1/4*s**4 + 20 - 5/2*s**x + 2*s. Let v(u) = 0. Calculate u.
1, 2
Let c(x) be the third derivative of x**5/30 + 7*x**4/3 + 64*x**3 + 3*x**2 + 328*x. Find f, given that c(f) = 0.
-16, -12
Let c = 13 - 5. Suppose -c*h + 52 = 5*h. Factor 0*g**3 + 2*g**5 + 0*g**5 - 3*g**4 - g**h + 2*g**3.
2*g**3*(g - 1)**2
Let x be 692/890 + 30*22/29370. Find y, given that 68/5*y + 152/5 - x*y**2 = 0.
-2, 19
Let f(h) be the third derivative of -h**7/5040 - h**6/144 + h**4/12 + h**3/2 - 82*h**2. Let i(g) be the second derivative of f(g). Factor i(p).
-p*(p + 10)/2
Let n(z) be the second derivative of -z**5/75 + 41*z**4/60 - 4*z**3/3 + 205*z**2/2 - 156*z. Let h(s) be the firs