o**3 + 2791*o**2 - 1630*o + 4. Let f(w) = 4*m(w) + 15*y(w). Factor f(k).
3*k*(k - 3)*(k + 85)*(3*k - 2)
Let s(c) be the third derivative of 0*c - 37*c**2 + 25/24*c**4 + 0 - 1/24*c**6 - 1/6*c**5 + 5*c**3. Factor s(r).
-5*(r - 2)*(r + 1)*(r + 3)
Let i(q) be the third derivative of q**11/249480 - q**9/45360 - 4*q**5/3 - 19*q**2. Let c(z) be the third derivative of i(z). Factor c(h).
4*h**3*(h - 1)*(h + 1)/3
Suppose -4*p + 12 = 0, -5*b + 3*b = 2*p - 1004. Let j = -484 + b. Let 21/2*z**4 - 6 + j*z - 9/4*z**5 - 51/4*z**3 - 9/2*z**2 = 0. Calculate z.
-1, 2/3, 1, 2
Let f be ((-10773)/(-2))/21 + 7. Let d = 274 - f. Suppose -10*m + 17*m**4 + 41/2*m**3 - d*m**5 - 21*m**2 + 4 = 0. What is m?
-1, -2/3, 2/7, 1, 2
Let q be (-28)/(-56) + 11/(-2). Let z be (-3)/(1 + -10) + q/15. Factor -2/15*k + 2/5*k**3 - 4/15*k**2 + z.
2*k*(k - 1)*(3*k + 1)/15
Let r(s) be the second derivative of -s**5/10 - 23*s**4/3 + 95*s**3/3 - 48*s**2 + 2*s - 85. Solve r(l) = 0 for l.
-48, 1
Let 137*s + 1/2*s**2 + 273/2 = 0. Calculate s.
-273, -1
Let b(n) = 5*n**2 - 9*n - 10. Let h(l) = l**2 + 2*l. Let r(y) = 7*y**2 - 4*y - 11. Let j(p) = 2*h(p) - r(p). Let g(i) = -5*b(i) - 4*j(i). Factor g(c).
-(c - 3)*(5*c + 2)
Let o = -24306 + 243061/10. Let f(u) be the second derivative of 51*u + 0 - 648*u**3 + o*u**6 + 99*u**4 - 21/4*u**5 - 2592*u**2. Factor f(b).
3*(b - 12)**3*(b + 1)
Let f be -4*(-33 + 5 - 0). Let a be (f/32)/((-21)/(-12)). Determine x, given that -4/3 - 2/3*x**a - 2*x = 0.
-2, -1
Factor 1272/5 - 188/5*y - 4/5*y**2.
-4*(y - 6)*(y + 53)/5
Let o(r) = -64*r - 9*r**2 - 16059*r**3 + 10*r + 16062*r**3 - 48. Let g(v) = 2*v**2 + v. Let k(n) = -6*g(n) - o(n). Suppose k(x) = 0. What is x?
-4, -1, 4
Let o(s) be the third derivative of -s**6/30 - 13*s**5/40 + 5*s**4/48 + 1151*s**2. Let o(q) = 0. Calculate q.
-5, 0, 1/8
Let r(x) be the first derivative of 2*x**5/15 + 2158*x**4/3 + 4656964*x**3/3 + 5024864156*x**2/3 + 2710914212162*x/3 - 1946. Solve r(o) = 0 for o.
-1079
Let k(z) = 12*z**2 + 13*z - 4. Let p(n) = 10*n**2 + 12*n - 2. Let r be 0 + (-64)/(-48) + (-33)/(-9). Let s(l) = r*p(l) - 4*k(l). Find q such that s(q) = 0.
-3, -1
Let i(w) be the first derivative of w**3/18 - 20*w**2/3 - 82*w/3 + 1346. Suppose i(s) = 0. What is s?
-2, 82
Factor -2/9*b**3 - 124/3 - 76/9*b**2 - 446/9*b.
-2*(b + 1)*(b + 6)*(b + 31)/9
Let q(v) be the third derivative of 0 + 5/8*v**4 + 38*v**2 + 0*v - 1/60*v**5 - 7/3*v**3. Factor q(h).
-(h - 14)*(h - 1)
Let 3/4*k**2 + 0 + 57/2*k = 0. Calculate k.
-38, 0
Let d(j) be the first derivative of 4*j**3/21 + 552*j**2/7 + 76176*j/7 + 2770. Factor d(a).
4*(a + 138)**2/7
Let n = 795 - 380. Determine h so that -48 - 117*h + 45*h**5 + 80*h**4 + 8 + 307*h - n*h**3 - 155*h**4 - 65*h**2 = 0.
-2, -1, 1/3, 4
Let h be ((-20)/6)/(116/(-174)). Factor 4*l**4 - 8*l**3 - 44*l**2 + 4*l**5 + 0*l**h + 40*l**2 + 4*l**3.
4*l**2*(l - 1)*(l + 1)**2
Let l = -167020 + 501073/3. Factor l*b - 5*b**2 + 2/3.
-(b - 1)*(15*b + 2)/3
Let t(o) be the third derivative of o**6/300 - o**4/15 - 2838*o**2. Let t(z) = 0. What is z?
-2, 0, 2
Let b(l) be the third derivative of -l**8/112 - 23*l**7/70 - 19*l**6/8 - 17*l**5/4 + 12*l**4 + 54*l**3 - 5476*l**2. Suppose b(y) = 0. What is y?
-18, -3, -2, -1, 1
Let u(i) be the first derivative of -5/3*i**3 + 65*i + 30*i**2 - 90. Solve u(s) = 0.
-1, 13
Let a(m) be the third derivative of -1/2520*m**8 - 48*m**2 + 32/45*m**3 + 0 + 4/15*m**4 + 0*m - 2/525*m**7 + 8/225*m**5 - 2/225*m**6. Solve a(x) = 0 for x.
-2, 2
Let y be 2118/(-2862) + 1 - 388/10282. Let -10/3 + 4/9*v + y*v**2 = 0. Calculate v.
-5, 3
Let q = -46657 + 200531787/4298. Let t = 4538683/21490 + q. Let -34/5*h**2 - 1152/5*h**5 - 248/5*h**3 - 2/5 + 4*h + t*h**4 = 0. What is h?
-1/4, 1/4, 1/3
Suppose 410919*n + 62 = 410950*n. Factor 8/3*y - 2*y**n - 2/3*y**3 + 0.
-2*y*(y - 1)*(y + 4)/3
Let f be (-348)/81*(-414)/66. Let b = -294/11 + f. Suppose -b*a**2 + 16/9 + 4/9*a = 0. Calculate a.
-2, 4
Let x(b) be the third derivative of 0*b - 1/8*b**4 + 0 - 7/30*b**3 - 3/100*b**5 + 15*b**2 - 1/600*b**6. Find h such that x(h) = 0.
-7, -1
Let u(w) = 5*w**2 + 470*w + 365. Let d(a) = a**2 + 78*a + 61. Let b(o) = 25*d(o) - 4*u(o). Suppose b(f) = 0. Calculate f.
-13, -1
Let g = 69309 - 901007/13. Suppose -6/13*w**2 + 2/13*w**3 - 18/13*w - g = 0. Calculate w.
-1, 5
Suppose 282*b - 301*b + 57 = 0. Let q(j) be the first derivative of -9/7*j**2 + 18/7*j**4 + 3/7*j + 48/35*j**5 - 12 + 1/7*j**b. Factor q(h).
3*(h + 1)**2*(4*h - 1)**2/7
Let h(o) be the third derivative of 60*o**2 + 0*o**3 + 0 - 1/20*o**5 + 0*o - 27/8*o**4. Suppose h(p) = 0. Calculate p.
-27, 0
Suppose -4522*c**2 - 78/5 + 578/5*c**3 + 2654/5*c = 0. Calculate c.
1/17, 39
Let h = -111 - -114. Factor -5*a**2 + 10*a**2 + 24*a**h + 48*a**3 - 66*a**3 + a**4.
a**2*(a + 1)*(a + 5)
Let v(u) = 3*u**3 - 21*u**2 - 101*u + 618. Let y be v(8). Factor -2/3*r**y + 2/3*r + 0.
-2*r*(r - 1)/3
Let r = -6245 + 149917/24. Let h = -113/120 + r. Factor -6/5*t**2 + 27/5 + h*t**4 + 36/5*t - 12/5*t**3.
3*(t - 3)**2*(t + 1)**2/5
Suppose -6200*j + 128 + 3165*j - j**2 + 5*j**2 + 3167*j = 0. Calculate j.
-32, -1
Suppose g = 5*g - 32. Factor 5*a**2 + g*a - 7*a + 45 - 51*a.
5*(a - 9)*(a - 1)
Let f(q) = -16*q**2 + 47*q - 126. Let r(g) = 5*g**2 - 16*g + 36. Let i(u) = 2*f(u) + 7*r(u). Factor i(h).
3*h*(h - 6)
Let -3/7*s**2 + 120/7*s + 36 = 0. What is s?
-2, 42
Let z(y) = y**3 - 75*y**2 + 2*y. Let r(h) = 4*h**3 - 375*h**2 + 11*h. Let d = 22 - 20. Let p(l) = d*r(l) - 11*z(l). Solve p(q) = 0.
0, 25
Suppose -4*m = 2 - 10. Factor -16*c**3 - 3*c**2 + 9*c**4 + 6*c**2 + 5*c**m + c**4 - 2*c**5.
-2*c**2*(c - 2)**2*(c - 1)
Let j(k) be the third derivative of k**6/120 + k**5/12 - 7*k**4/12 + 32*k**2 + 11. Let j(i) = 0. Calculate i.
-7, 0, 2
Suppose 0 - 2/3*o**2 + 44/3*o = 0. Calculate o.
0, 22
Suppose -11*n = 443 - 641. Suppose n*l = 69*l - 102. Suppose 2/7*y**l - 8*y + 56 = 0. Calculate y.
14
Let a(j) be the third derivative of -j**6/72 - j**5/12 - 5*j**4/24 + 29*j**3/6 + 41*j**2. Let y(w) be the first derivative of a(w). Let y(c) = 0. Calculate c.
-1
Suppose -75 = -5*s + q, -5*s = -2*s - 2*q - 38. Suppose 8*z - s = -0. Factor -1/4*j**2 - z + 3/2*j.
-(j - 4)*(j - 2)/4
Let i = -8139 - -8144. Let f(y) be the second derivative of 0*y**2 + 1/2*y**3 + 1/8*y**4 - 26*y + 0 - 3/40*y**i. Determine j, given that f(j) = 0.
-1, 0, 2
Let n(x) be the second derivative of -3*x**5/20 - 27*x**4/4 - 135*x**3/2 + 2025*x**2/2 + 2*x - 1337. Factor n(h).
-3*(h - 3)*(h + 15)**2
Let b be 1643/217 + 6/14. Let t be b/(256/(-52)) - -8. Solve 27/2*j**2 + 3/4 - t*j = 0.
2/9, 1/4
Let y(b) = -3*b**3 - 19*b**2 + 17*b - 10. Let t(m) = -m**3 - m**2 - m. Let w = 150 - 145. Let q(g) = w*t(g) - y(g). Factor q(f).
-2*(f - 5)*(f - 1)**2
Let r(q) = -9*q**2 + 300*q - 279. Let a(s) = -8*s**2 + 299*s - 281. Let g(b) = 6*a(b) - 5*r(b). Solve g(h) = 0 for h.
1, 97
Let i be 5/((-20)/(-199)) + 2/8. Let r = i - 46. Let r - 12 - 50*k**2 + 43*k**2 + 30*k = 0. Calculate k.
2/7, 4
Let f(d) be the third derivative of d**8/56 + 16*d**7/105 - 46*d**6/5 + 384*d**5/5 - 108*d**4 - 3268*d**2. Determine p so that f(p) = 0.
-18, 0, 2/3, 6
Suppose 81*g = 79*g - 4*p + 2, 4*p = -g - 1. Let o(m) be the second derivative of 160*m**2 + 5/12*m**4 - 40/3*m**g - 19*m + 0. Factor o(z).
5*(z - 8)**2
Let h = 298 - 303. Let q be (-16)/2 + 15 + h. Factor 1/10 - 1/5*r + 1/10*r**q.
(r - 1)**2/10
Let g = 113187 - 222113/2. Let k = g + -2130. Factor -1/2*d**3 + k*d**2 + 1/2*d - 1/2.
-(d - 1)**2*(d + 1)/2
Let o(l) be the first derivative of -267 - 3/8*l**4 + 0*l - 3/4*l**3 - 1/2*l**2 - 1/20*l**5. Find n such that o(n) = 0.
-4, -1, 0
Let j(a) = -3*a**3 - a**2 + 2*a + 2. Let p be j(3). Let x be p/123*(-4)/6. Factor 4/9*u**2 + 0 + x*u.
4*u*(u + 1)/9
Let s(a) be the first derivative of a**4/10 - 14*a**3/15 + 11*a**2/5 - 2*a + 1301. Determine v, given that s(v) = 0.
1, 5
Let c(g) be the second derivative of -253265/2*g**2 + 1/4*g**5 - 185/4*g**4 - 41*g + 0 + 6845/2*g**3. Factor c(k).
5*(k - 37)**3
Suppose 66*a - 29*a - 33*a - 16 = 0. Let v(q) be the third derivative of -1/2*q**3 - 1/12*q**a - 10*q**2 + 0 + 1/60*q**5 + 0*q. Let v(c) = 0. What is c?
-1, 3
Solve 1107 - 3*p**3 - 1323 - 108*p - 23*p**2 + 2*p**2 + 270*p = 0 for p.
-12, 2, 3
Determine s, given that 333 - 378*s**2 - 4*s**3 - 333 - 268*s**2