ird derivative of -15*g**2 + 0 + 1/15*g**5 + p*g**3 + 0*g + 2*g**4. Determine o, given that v(o) = 0.
-6
Factor -88/3*j + 0 - 2/3*j**3 - 16*j**2.
-2*j*(j + 2)*(j + 22)/3
Let p(y) = -462*y + 21762. Let n be p(47). Factor -n*l - 24*l**3 + 15/4*l**4 + 54*l**2 + 12.
3*(l - 2)**3*(5*l - 2)/4
Let g = -4028 - -96677/24. Let c(s) be the third derivative of 0 + 2*s**2 + 0*s**3 + 0*s - g*s**4 + 1/6*s**5. Determine w so that c(w) = 0.
0, 1/2
Suppose -34*q + 6 - 6 = -5*q. Let j(y) be the third derivative of 13/72*y**4 - 1/3*y**3 + q - 32*y**2 - 2/45*y**5 + 0*y + 1/360*y**6. Find c such that j(c) = 0.
1, 6
Let z(d) be the third derivative of d**7/168 - d**5/24 - 11*d**3 - 13*d**2 - 3*d. Let j(w) be the first derivative of z(w). Factor j(v).
5*v*(v - 1)*(v + 1)
Let u be (-21)/(-35)*1230/41. Let g(h) be the second derivative of 0 + 1/36*h**4 + h**3 + 27/2*h**2 - u*h. Factor g(x).
(x + 9)**2/3
Let n = -31092 - -31095. Find j, given that -1/5*j**n + 0 + 0*j + 1/5*j**2 = 0.
0, 1
Let t(v) be the first derivative of 5041*v**4/6 - 2840*v**3/9 + 100*v**2/3 - 6514. Solve t(o) = 0.
0, 10/71
Let m(z) be the first derivative of 2*z**5/5 + 42*z**4 + 638*z**3/3 - 84*z**2 - 640*z + 1425. Find j, given that m(j) = 0.
-80, -4, -1, 1
Let m = -43024 + 43024. Factor -1/2*y**2 + 3/2*y + m.
-y*(y - 3)/2
Let w(p) be the third derivative of p**6/900 - 1687*p**5/450 + 47489*p**4/12 - 78961*p**3/5 - 2*p**2 - 42*p - 74. Factor w(s).
2*(s - 843)**2*(s - 1)/15
Factor -4648*r**2 + 695*r**3 + 29*r**4 - 144*r - 4964*r**2 + 13764*r**2.
r*(r + 12)**2*(29*r - 1)
Let m(k) be the second derivative of 14 + 3*k + 243/20*k**4 - 18/5*k**3 + 2/5*k**2. Factor m(j).
(27*j - 2)**2/5
Let x be (-3)/12 - 29189/(-68). Let m = 861/2 - x. Factor -m*s**2 - 9/2*s - 3.
-3*(s + 1)*(s + 2)/2
What is z in -1656*z**2 - 2*z**4 + 11*z**4 - 65*z**4 + 716*z**3 + 94 + 976*z - 254 = 0?
2/7, 1/2, 2, 10
Let p be 130*(-36)/(-240) + -17. Let c(u) be the third derivative of 1/12*u**5 - 5/6*u**4 + 13*u**2 + p*u**3 + 0*u + 0. Factor c(s).
5*(s - 3)*(s - 1)
Determine v, given that 2/11*v**2 + 142/11*v + 536/11 = 0.
-67, -4
Let a be -5 + 16/(-8) - -7. Let n(d) be the first derivative of 8 + 0*d**3 + 1/6*d**6 + 0*d**2 - 1/4*d**4 + a*d**5 + 0*d. Solve n(f) = 0 for f.
-1, 0, 1
Factor -33 + 3*b**2 + 33 - 59 + 9*b - 3*b + 14.
3*(b - 3)*(b + 5)
Let c be 2681*((-3)/85)/(9/(-45)). Let z = -473 + c. Solve -4/17 - 6/17*k - z*k**2 = 0 for k.
-2, -1
Let f be ((-72)/(-1008) - (-7174)/(-84))*(-120)/16. Determine l, given that -400 - 3/2*l**3 - f*l - 61*l**2 = 0.
-20, -2/3
Let b(c) be the third derivative of -c**7/630 + c**6/270 + 13*c**4/8 - 2*c**2 - 23. Let q(r) be the second derivative of b(r). Factor q(m).
-4*m*(3*m - 2)/3
Determine x, given that 45*x**3 + 279/7*x**2 + 24/7*x**4 - 78*x - 72/7 = 0.
-12, -2, -1/8, 1
Suppose 3*o - 186 = -177. Let 13*w**2 - 6*w + 2*w**4 - 9*w**3 + 23*w**3 - 6*w**3 - 17*w**o = 0. What is w?
0, 1, 3/2, 2
Let c = -1815 + 1813. Let n be (c/(-8))/(405/2160). Suppose -2/3*h + 2/3*h**2 - n = 0. What is h?
-1, 2
Let d(h) be the second derivative of -h**5/4 - 3685*h**4/12 + 30*h + 87. Factor d(k).
-5*k**2*(k + 737)
Let a(k) be the first derivative of -k**4/22 - 7*k**3/33 - 2*k**2/11 - 8*k + 65. Let v(p) be the first derivative of a(p). Factor v(o).
-2*(o + 2)*(3*o + 1)/11
Let m(k) be the first derivative of -35/3*k**3 + 0*k + 1/45*k**6 + 27 + 3/20*k**5 + 0*k**2 + 1/6*k**4. Let n(q) be the third derivative of m(q). Solve n(b) = 0.
-2, -1/4
Let n(b) = 32*b**3 - 22410*b**2 + 3590403*b - 1024060. Let p(x) = -x**3 + x - 20. Let r(u) = n(u) - 3*p(u). Let r(f) = 0. What is f?
2/7, 320
Let s(x) be the first derivative of 8/15*x**5 + 1/4*x**4 - 1/6*x**6 + 38 + 0*x - 4/3*x**3 - 2/3*x**2. Suppose s(z) = 0. Calculate z.
-1, -1/3, 0, 2
Let o(k) be the third derivative of -k**7/1050 + k**6/120 + k**5/300 - k**4/24 + 2*k**2 - 35*k - 4. Factor o(b).
-b*(b - 5)*(b - 1)*(b + 1)/5
Let b be (112/(-24) + 5)*6. Factor -60 - 76*s + 131*s + 63*s - 2*s**3 - 56*s**b.
-2*(s - 1)**2*(s + 30)
Let w = -37 - -41. Suppose -2*u - 14 = -w*u. Factor -h**2 - u*h**3 + 2*h**3 + h + 3*h**3 + 1 + h**3.
-(h - 1)*(h + 1)**2
Let d be ((-17214)/108)/(-19) + (-4)/4. Let y = -2491/342 + d. Factor 12/19*j**2 + 0 - y*j**3 - 18/19*j.
-2*j*(j - 3)**2/19
Suppose -3*c + 5*z = -30, -211*c - 8 = -212*c + z. Suppose c*x - 5 = -5*n + 25, -4*n - 3*x = -21. Solve -3/4*h**2 + 15/4 - n*h = 0 for h.
-5, 1
What is q in -261*q**2 - 888 + 147*q**3 - 288*q**3 - 172 - 1056*q + 142*q**3 = 0?
-2, 265
Let c(k) = -k**3 - 114*k**2 - 743*k - 600. Let y(u) = 8*u**3 + 800*u**2 + 5200*u + 4192. Let q(j) = 36*c(j) + 5*y(j). Factor q(x).
4*(x - 32)*(x + 1)*(x + 5)
Let z = -6301 - -6307. Let i(s) be the second derivative of 0*s**2 - 11*s + 6/25*s**5 + 1/5*s**3 + 0 + 3/50*s**z + 7/20*s**4. Factor i(f).
3*f*(f + 1)**2*(3*f + 2)/5
Suppose 6*i = 195 - 57. Suppose 151 = 8*u + i. Find m, given that 4*m**5 - 4*m**3 - 8*m**2 - 9*m**2 + m**2 + u*m**4 = 0.
-4, -1, 0, 1
Let j(i) be the third derivative of -2*i**2 - 4/9*i**3 + 1/180*i**5 + 96*i + 7/72*i**4 + 0. Let j(o) = 0. Calculate o.
-8, 1
Let m(y) = -y**3 - 37*y**2 + 42*y + 155. Let l be m(-38). Factor -a**l + 2*a**2 + 2*a + 0*a**3 + 3*a**4 + 6*a**2 - a**5 - 11*a**2.
-a*(a - 2)*(a - 1)**2*(a + 1)
Suppose 0 = 739*q - 924*q. Factor -1/3*d**4 - 2*d + q - 7/3*d**3 + 13/3*d**2 + 1/3*d**5.
d*(d - 2)*(d - 1)**2*(d + 3)/3
Let d(f) be the third derivative of -f**6/40 - 8*f**5 + 493*f**4/8 + 326*f**3 - 10530*f**2. Factor d(o).
-3*(o - 4)*(o + 1)*(o + 163)
Let k(c) be the second derivative of -c**5/12 + 5*c**4/6 + 10*c**3 + 3*c**2/2 - 3*c - 16. Let j(f) be the first derivative of k(f). Solve j(x) = 0 for x.
-2, 6
Let h(z) be the first derivative of -z**3/15 - 127*z**2/5 + 51*z - 1284. Let h(u) = 0. What is u?
-255, 1
Suppose -35*p + 19*p = -80. Let y be -1 - 50/(-35) - p/(-15). Factor -2/21*f**2 - 32/21 - y*f.
-2*(f + 4)**2/21
Suppose 7*l - 18 = 6*l, 2*b - l + 12 = 0. Find r, given that -6/7*r**b + 1/7*r**5 - 3/7 + 1/7*r**4 + 2/7*r**2 + 5/7*r = 0.
-3, -1, 1
Solve 0 - 52/9*n**2 - 2/9*n**3 - 80/3*n = 0 for n.
-20, -6, 0
Let s(h) = 2*h**2 - 5*h - 5. Let g(r) = -8*r**2 + 1323*r - 2593. Let c(q) = -2*g(q) - 6*s(q). Determine y so that c(y) = 0.
2, 652
Let -239*b**2 - 5*b**4 + 2447 - 679*b**3 + 874*b**3 - 780*b - 111*b**2 - 967 = 0. Calculate b.
-2, 2, 37
Let f(o) be the second derivative of o**7/126 - 47*o**6/90 - 49*o**5/30 - o**4/18 + 97*o**3/18 + 49*o**2/6 - 980*o. Factor f(z).
(z - 49)*(z - 1)*(z + 1)**3/3
Let x(s) = -200*s - 6000. Let m be x(-30). Let l(w) be the third derivative of 1/32*w**4 + 1/480*w**6 + m*w + 0*w**3 + 0 - 1/60*w**5 + 7*w**2. Factor l(n).
n*(n - 3)*(n - 1)/4
Let f be 6/(-24) - 33/12. Let z be (-2 - f) + -10 + 11. Factor -2*w**2 - 2*w**z + 37*w - 17*w + 24.
-4*(w - 6)*(w + 1)
Let w(j) be the first derivative of j**6/240 - 7*j**5/80 - 9*j**4/8 + 122*j**3/3 + 70. Let x(g) be the third derivative of w(g). Factor x(h).
3*(h - 9)*(h + 2)/2
Let y(j) be the third derivative of 5*j**6/72 - 367*j**5/3 + 489*j**4/2 - 1760*j**3/9 - 2*j**2 + j - 2. Factor y(u).
(u - 880)*(5*u - 2)**2/3
Factor -486/5*b + 2/5*b**5 + 162/5 + 484/5*b**2 - 156/5*b**3 - 6/5*b**4.
2*(b - 9)*(b - 1)**3*(b + 9)/5
Let s = -13126 + 13128. Let f = 21 - 41/2. Solve 0 - f*o**s + 1/3*o = 0.
0, 2/3
Find o, given that -24 - 43*o**4 - 766*o**2 - 58*o**3 + 33*o**4 + 656*o**2 - 86*o = 0.
-3, -1, -4/5
Let x(i) be the second derivative of 1/45*i**6 + 4/9*i**3 + 66*i - 1/5*i**5 - 4*i**2 + 1/2*i**4 + 0. What is v in x(v) = 0?
-1, 2, 3
Let g(z) be the second derivative of -98*z**6/9 + 889*z**5/60 + 313*z**4/6 + 272*z**3/9 - 16*z**2/3 + 858*z. Suppose g(q) = 0. Calculate q.
-4/7, 1/20, 2
Let o(a) be the second derivative of 0 + 21/40*a**5 + 124*a - 35/24*a**4 + 53/24*a**3 + 1/168*a**7 - 15/8*a**2 - 11/120*a**6. Solve o(i) = 0.
1, 3, 5
Suppose -42 = 7*m - 28*m. Factor -2*b - 4*b**2 - 72 - 10*b - 13*b**2 - 10*b**2 + 31*b**m.
4*(b - 6)*(b + 3)
Let j = 576067/30724 + 2/7681. Let c = 583635/4 + -145890. Factor -j*a - 5/2*a**2 + 5/2 + c*a**3.
5*(a - 1)*(a + 1)*(15*a - 2)/4
Let p(g) be the third derivative of -1/80*g**5 + 4*g**2 + 0*g + 1/480*g**6 + 0*g**4 + 1 + 1/6*g**3. Suppose p(m) = 0. What is m?
-1, 2
Let r(f) be the second derivative of -8 + 2*f - 16/45*f**3 - 1/18*f**4 - 1/5*f**2. Factor r(s).