ive of 2 + 2/15*r**6 + 3/5*r**5 - 4*r**2 - 2*r**3 + 25*r + 1/3*r**4. Factor t(p).
4*(p - 1)*(p + 1)**2*(p + 2)
Let v = 643/92 - 86/23. Let q(d) be the first derivative of -2*d**2 - 6/5*d**5 + 0*d - v*d**4 - 1/6*d**6 + 15 - 4*d**3. Let q(r) = 0. Calculate r.
-2, -1, 0
Let i(s) be the second derivative of -s**4/16 + s**3 + 1827*s**2/8 + 11*s + 86. Factor i(r).
-3*(r - 29)*(r + 21)/4
Suppose 408*i - 72*i + 672*i = 4032. Let 8/9*l**i + 26/9*l**3 + 2/3*l**2 + 0*l + 0 = 0. Calculate l.
-3, -1/4, 0
Suppose -180*n + 178*n + 11 = -1. Let v(c) be the second derivative of 0*c**2 + 5*c + 0 + 0*c**5 + 1/120*c**4 - 1/300*c**n + 0*c**3. Factor v(t).
-t**2*(t - 1)*(t + 1)/10
Let w(v) = -4 + v - 3 - 6 + 12. Let o(c) = -c**2 - 2*c + 3. Let q(d) = -3*o(d) - 6*w(d). Factor q(j).
3*(j - 1)*(j + 1)
Let n be (-3 + 13/3)*(-270)/(-8). Let x(g) be the first derivative of 1/10*g**5 + n - 5/6*g**3 - 3/4*g**2 - 1/8*g**4 + 0*g. Factor x(r).
r*(r - 3)*(r + 1)**2/2
Let k(i) be the first derivative of 2*i**3/33 + 16*i**2 + 1408*i + 1221. Factor k(h).
2*(h + 88)**2/11
Let k be -4*7/112*(-12 - -10). Let j(x) be the first derivative of -2/5*x**5 + 2/3*x**3 + k*x**4 - x**2 + 0*x + 35. Factor j(a).
-2*a*(a - 1)**2*(a + 1)
Let k(z) be the first derivative of -4*z**6/3 + 11*z**5 - 105*z**4/4 + 50*z**3/3 + 4*z**2 + 633. Determine a, given that k(a) = 0.
-1/8, 0, 1, 2, 4
Let c be 1/((-2)/(-2) + -2)*-20. Suppose -2*k = 3*s + 1 - c, -5*s = -5*k - 15. Factor 2*z - 4*z**k + 0*z**4 - 5*z**4 + z**2 - 2*z**3 + 8*z**2.
-z*(z - 1)*(z + 1)*(5*z + 2)
Let k be 44/24 + 2 - (0 + (-105)/(-126)). Find s such that 1408/9*s - 2/9*s**4 - 48*s**2 + 50/9*s**k - 1024/9 = 0.
1, 8
Find h such that -2*h**3 - 12*h**2 + 0 + 0*h + 2/3*h**4 = 0.
-3, 0, 6
Determine g so that 1149*g + 448 - 6*g**2 - 609*g + g**2 + 4*g**3 + 85*g**2 + 16*g**2 = 0.
-16, -7, -1
Let q = 2134/151 + -4117/302. Factor -1/4*a**3 + 1/4*a - q + 1/2*a**2.
-(a - 2)*(a - 1)*(a + 1)/4
Factor 128/9*n**3 + 130/9*n + 8/9 + 544/9*n**2.
2*(n + 4)*(8*n + 1)**2/9
Let q(f) = -7*f**2 + 247*f - 1198. Let s(h) = -3*h**2 + 123*h - 550. Let o(u) = 2*q(u) - 5*s(u). Let o(a) = 0. Calculate a.
3, 118
Let m(p) be the third derivative of p**5/30 + 95*p**4/12 - 1072*p**2. Factor m(k).
2*k*(k + 95)
Let j(g) = -2*g - 3 + 2 - 4*g + 2*g**2 + 2*g. Let p be j(3). Factor -4/7*n**p + 8/7*n**2 + 0 + 4/7*n - 8/7*n**4 + 0*n**3.
-4*n*(n - 1)*(n + 1)**3/7
Let c(s) = s**2 - s - 30. Let p be c(6). Let r be (p/7 + -10)/(4/(-2)). Determine y so that 3/4*y**3 - 3/4*y**4 - 1/4*y**2 + 1/4*y**r + 0*y + 0 = 0.
0, 1
Solve -816*k**2 + 978 + 8*k**3 - 1246 + 15207*k - 2470 + 3*k**3 = 0 for k.
2/11, 37
Let y(p) be the second derivative of p**7/6300 + p**6/300 + 3*p**5/100 + p**4/2 + p**3/2 - p + 47. Let b(v) be the third derivative of y(v). Factor b(t).
2*(t + 3)**2/5
Let b = 1681347 - 1681343. Determine y, given that 7/2*y**b - 3*y - 17/2*y**3 + 17/2*y**2 + 0 - 1/2*y**5 = 0.
0, 1, 2, 3
Let l(s) = 15*s**3 - 640 + 31*s**3 + 605 - 18*s**3 - 73*s**2 - 139*s. Let a(r) = -56*r**3 + 145*r**2 + 279*r + 71. Let t(u) = 3*a(u) + 7*l(u). Factor t(o).
4*(o - 4)*(o + 1)*(7*o + 2)
Suppose -2*w + 4 = -y, 12*w - 7*w - 19 = -2*y. Suppose -81*z + 5*n = -80*z - 11, -w = -3*n. Factor 52/3*v**3 + 4/3*v**5 + 0 - 8*v**4 + 16/3*v - z*v**2.
4*v*(v - 2)**2*(v - 1)**2/3
Let w = -217 - -214. Let l be (-21)/(-280) - w/(26 + -2). Find v, given that -4/5*v**2 - 3/5*v**3 + 0*v + l*v**4 + 0 = 0.
-1, 0, 4
Let s(u) be the third derivative of -u**6/1260 - 29*u**5/21 - 21025*u**4/28 + 65*u**2 + 14*u + 1. Suppose s(r) = 0. Calculate r.
-435, 0
Let w = -18/53 - -249/265. Factor 3/5*s**4 - w*s**2 + 0 - 2/5*s + 2/5*s**3.
s*(s - 1)*(s + 1)*(3*s + 2)/5
Let o(w) be the second derivative of -w**4/24 + 56*w**3/3 + 225*w**2/4 - 3918*w. What is p in o(p) = 0?
-1, 225
Let -24/5 + 46/5*g**3 - 256/5*g + 234/5*g**2 = 0. What is g?
-6, -2/23, 1
Let a(g) be the second derivative of g**6/165 + 7*g**5/110 + 2*g**4/33 - 4*g**3/11 + 262*g + 2. Solve a(c) = 0 for c.
-6, -2, 0, 1
Let b(h) = -2*h**3 + h**2 - h + 8. Let q(j) = 10*j**3 - 43*j**2 + 461*j - 482. Let v(i) = -18*b(i) - 2*q(i). Factor v(k).
4*(k - 5)*(k - 1)*(4*k + 41)
Suppose 1577*v = 1595*v - 26 - 10. Solve 3/4*c**3 + 90*c + 108 - 69/4*c**v = 0.
-1, 12
Let d(v) be the second derivative of 4*v**6/15 + 3*v**5/20 - 31*v**4/48 - v**3/2 - v**2/8 + 10*v + 16. Solve d(r) = 0 for r.
-1, -1/4, -1/8, 1
Let i(p) = 2*p**2 + 642*p - 51212. Let j(n) = 10*n**2 + 2569*n - 204854. Let b(l) = -9*i(l) + 2*j(l). Factor b(o).
2*(o - 160)**2
Let i = 884 - 886. Let g be (1859/605 + -3)/(i/(-10)). What is u in 6/11 - 8/11*u**2 + 4/11*u**3 - g*u + 2/11*u**4 = 0?
-3, -1, 1
Let d = 280 - -146. Determine c, given that -30 + 81*c - 429*c**2 + d*c**2 + 114 = 0.
-1, 28
Let j(v) be the third derivative of v**7/840 - v**6/32 - 9*v**5/40 - 1485*v**2. Factor j(o).
o**2*(o - 18)*(o + 3)/4
Solve 31*k**3 + 438 + 210*k**2 - 381*k - 473*k - 28*k**3 + 203*k = 0.
-73, 1, 2
Let o(i) be the third derivative of -i**7/2100 + 203*i**6/600 - 42013*i**5/600 + 13601*i**4/20 - 13467*i**3/5 - 7208*i**2. Factor o(g).
-(g - 201)**2*(g - 2)**2/10
Let q(j) = 19*j**2 - 4*j + 16. Let o be q(-5). Let a = o - 1529/3. Let -10/3 - 22/3*s - a*s**2 = 0. What is s?
-5, -1/2
Let g be -8 - (-5 + -7) - (2 - 0). Factor 20 - 85*a**g + 168*a**2 + a**3 - 88*a**2 - 4*a.
(a - 5)*(a - 2)*(a + 2)
Suppose -63 = -4*f + 37. Let o be ((-2)/8)/((-1)/f). What is m in -10*m**3 - o*m**4 - 3/2*m**2 + 2*m - 1/4 = 0?
-1, 1/5
Suppose m = 2*q + q + 4, 0 = -q. Let u be m/(-2) + (1120/(-144) - -10). Factor -4/9*c - u*c**2 + 2/3.
-2*(c - 1)*(c + 3)/9
Let r(v) be the second derivative of -1/30*v**4 - 18 - 441/5*v**2 - 2*v + 14/5*v**3. Factor r(a).
-2*(a - 21)**2/5
Let b(l) be the third derivative of 0*l**3 + 1/3696*l**8 + 1/330*l**6 - 20*l + 0*l**4 - 2/1155*l**7 + 6*l**2 + 0 + 0*l**5. Determine c, given that b(c) = 0.
0, 2
Let p be -4 - ((-82)/5 - 28/(-70)). Solve 75*r**4 + p - 32*r**2 - 55*r**2 + 0*r**2 = 0 for r.
-1, -2/5, 2/5, 1
Let c = 747893/1121835 + -1/373945. Find k such that 0*k**4 + c*k**5 + 0*k + 0 - 2/3*k**3 + 0*k**2 = 0.
-1, 0, 1
Let b = 139133 - 139131. Solve 16/7*f + 0 + 4/7*f**5 - 20/7*f**3 - 12/7*f**4 + 12/7*f**b = 0.
-1, 0, 1, 4
Let d(r) = 63*r + 8*r**2 - 23*r + 135 - 10*r**3 - 23*r**2. Let o(j) = 11*j**3 + 15*j**2 - 39*j - 135. Let p(i) = -6*d(i) - 5*o(i). Solve p(q) = 0.
-3, 3
Let q(a) be the second derivative of a**3/6 - a. Let g(l) = 2*l**2 - 62*l + 338. Let n be 11/66*(-7)/(14/(-12)). Let r(v) = n*g(v) + 10*q(v). Factor r(u).
2*(u - 13)**2
Suppose 4*z + 41 = 205. Suppose -4 = 39*x - z*x. Factor -4 - l**2 + 6*l**x - 4*l**2.
(l - 2)*(l + 2)
Let a(m) be the second derivative of -m**7/210 + 7*m**6/90 - m**5/3 - m**3 - 14*m. Let b(d) be the second derivative of a(d). Solve b(o) = 0 for o.
0, 2, 5
Let u(c) = -2*c**3 + 76*c**2 + c - 36. Let n be u(38). What is k in -8/11*k + 2/11*k**n + 6/11 = 0?
1, 3
Let r(z) be the second derivative of -z**8/23520 + z**6/360 + z**5/70 + z**4/6 - 2*z**2 + 45*z + 1. Let q(h) be the third derivative of r(h). Solve q(i) = 0.
-2, -1, 3
Let l(t) be the third derivative of -t**5/105 + t**4/21 + 16*t**3/7 - 1375*t**2. Factor l(y).
-4*(y - 6)*(y + 4)/7
Let g(x) = -233*x + 236. Let c be g(1). Factor 1/5*p**c - 1/5*p + 1/5*p**4 + 2/5 - 3/5*p**2.
(p - 1)**2*(p + 1)*(p + 2)/5
Let f(o) be the third derivative of o**6/150 - 29*o**5/25 - 44*o**4/15 - 102*o**2 + 12. Suppose f(i) = 0. Calculate i.
-1, 0, 88
Let g(q) = q + 37. Let n(f) = -f - 1. Let o(y) = g(y) + 2*n(y). Let u be o(8). Factor -72*d + u*d + 2 + 23*d - d**2 + 21*d.
-(d - 1)*(d + 2)
Let o be 106/6 + (190 - 131) + -66. Factor 8 - 2/9*k**3 - o*k + 26/9*k**2.
-2*(k - 6)**2*(k - 1)/9
Let y = 119236 - 119233. Factor 0 + 2/5*t**y + t**2 - 1/5*t**4 - 6/5*t.
-t*(t - 3)*(t - 1)*(t + 2)/5
Let q = 23726 - 23690. Let h(c) be the second derivative of q*c - 1/10*c**3 + 1/60*c**4 + 0*c**2 + 0. Let h(y) = 0. What is y?
0, 3
Let m(h) = -3*h**3 - 17*h**2 - 2*h - 6. Let v(x) = -34*x**3 - 188*x**2 - 23*x - 69. Let z(u) = 23*m(u) - 2*v(u). Find n such that z(n) = 0.
-15, 0
Let m(k) be the second derivative of k**4/108 - 19*k**3/6 - 193*k - 2. Factor m(v).
v*(v - 171)/9
Let o(z) be the first derivative of -z**6/2 - 81*z**5/5 + 87*z**4/2 - 380. Solve o(p) = 0 for p.
-29, 0, 2
Let y be ((-52)/(-39))/(-1