3*s**3 + 33*s**2 + 126*s + 144. Let p(b) = 5*b**3 + b. Let w(v) = -m(v) + 6*p(v). Determine l, given that w(l) = 0.
-4, -3
Suppose -118/3 - 116/3*o + 2/3*o**2 = 0. Calculate o.
-1, 59
Let c be ((-80)/(-13) - 6)*(-208)/(-48). Factor -10*s + 6 - c*s**3 + 14/3*s**2.
-2*(s - 3)**2*(s - 1)/3
Suppose 3*h + 2084 - 2062 = -a, 0 = -8*a - 3*h + 13. Let j(w) be the second derivative of -2/9*w**4 + 2/3*w**3 + 0 + 45*w + 0*w**2 - 1/15*w**a. Factor j(i).
-4*i*(i - 1)*(i + 3)/3
Determine p so that 423/2 - 1/4*p**3 - 1693/4*p + 212*p**2 = 0.
1, 846
Let v be ((-15368)/(-10396))/(8/46). Factor 1/2*l**4 + v*l**3 + 40*l**2 + 32*l + 0.
l*(l + 1)*(l + 8)**2/2
Let f be 1 - (-8 + 63/(9 - 2)). Let a(y) be the third derivative of 1/20*y**5 + 4*y**2 + 0 - 1/2*y**3 + 0*y + f*y**4. Factor a(i).
3*(i - 1)*(i + 1)
Factor 348*y + 33/7*y**2 - 444/7.
3*(y + 74)*(11*y - 2)/7
Let q(h) = h**3 + 5 - 5*h + 15*h**2 + 5 - 10*h**2. Let r be q(-6). Factor -r*w**3 - 3*w**3 - 12*w**2 + 6*w**3 - 15*w - 6 - 2*w**3.
-3*(w + 1)**2*(w + 2)
Suppose -h + 2*g = 12, -4*h - 5*g - 185 + 228 = 0. Find p such that 2/3*p + 0 + 2/9*p**h = 0.
-3, 0
Suppose -15*h = -10*h + 2*q - 3382, 670 = h + 2*q. Let u = 680 - h. Factor 0 - 9/5*p**u - 3/5*p**3 - 6/5*p.
-3*p*(p + 1)*(p + 2)/5
Let m(n) be the third derivative of -1/6*n**4 + 1/30*n**6 + 1/15*n**5 + 0*n + 80*n**2 + 0 - 2/3*n**3. Determine j, given that m(j) = 0.
-1, 1
Let k be (-18)/((-9)/1) - -7. Let i(t) = -5*t + 47. Let o be i(k). Suppose -6/7*x**3 + 0 + 8/7*x + 0*x**o + 2/7*x**4 = 0. What is x?
-1, 0, 2
Let r(l) = l**3 - 723*l**2 - 4453*l - 6717. Let c(t) = -2*t**3 + 2166*t**2 + 13358*t + 20148. Let g(a) = -2*c(a) - 7*r(a). Determine x so that g(x) = 0.
-3, 249
Let z be -69*(0 - 5 - -2). Factor z*p**2 - 47 - p**3 + 199*p**2 - 28 + 3*p + 2*p - 399*p**2.
-(p - 5)**2*(p + 3)
Suppose -1101*a + 1119*a - 90 = 0. Let u(r) be the first derivative of 5/9*r**3 - 5/3*r**2 + 19 - a*r. Factor u(g).
5*(g - 3)*(g + 1)/3
Suppose 9*m - 4*m = -4*y + 19, 2*m = y + 5. Let j be 4/(864/4866) - 8/(-36). What is q in 263/4*q**2 - 25*q + 3 - 121/2*q**m + j*q**4 - 3*q**5 = 0?
1/4, 1/3, 2, 3
Let a(o) = -135*o**2 - 1527*o + 1118. Let g be a(-12). Factor 1/3*z**3 + 8/3*z - 16/3 + 7/3*z**g.
(z - 1)*(z + 4)**2/3
Let u(i) = 46*i + 784. Let d be u(-17). Solve -16/5 + 12/5*y - 2/5*y**d = 0 for y.
2, 4
Let a(h) be the second derivative of 1/6*h**6 + 0*h**2 + 0*h**3 + 65*h + 0*h**4 + 0 - 1/4*h**5. Suppose a(o) = 0. What is o?
0, 1
Suppose 100*q = 96*q + 216. Factor -539*u**3 - 71 + q*u + 521*u**3 - 3*u**4 - 3*u**2 + 18*u + 23.
-3*(u - 1)**2*(u + 4)**2
Let o(a) = -a**3 - 21*a**2 + 28*a + 219. Let n be o(-21). Let g be (15/(-63))/(n/54 + 6). Factor 2/7*b**2 - g + 3/7*b.
(b + 2)*(2*b - 1)/7
Let x = 1741291/1088310 - -1/217662. Let 2/5*j**3 + x*j**2 - 2/5*j - 8/5 = 0. What is j?
-4, -1, 1
Let d(m) be the first derivative of -4*m**5 + 63*m**4 + 2204*m**3/3 + 2130*m**2 + 1368*m - 4627. Determine w, given that d(w) = 0.
-3, -2/5, 19
Let q(m) = m**3 + 54*m**2 + 2*m + 99. Let w be q(-54). Let o be 4/3 - (78/w + 7). Solve 2/9*c**5 - 14/9*c**o + 0*c**4 + 8/3*c - 4/9*c**2 + 16/9 = 0.
-2, -1, 2
Let o(q) = 2*q**3 + 2*q**2 + 4*q. Let h(g) = 17*g**3 - 184*g**2 + 31*g + 200. Let t(n) = -3*h(n) + 24*o(n). Factor t(d).
-3*(d - 200)*(d - 1)*(d + 1)
Let l(q) = -q**2 + 11*q + 24. Let b be l(-3). Let y be ((-4)/(-6) + 12/b)/(-2). Solve -1918 + 2*k**2 + 2*k + y*k + 1914 = 0.
-2, 1
Let l(y) be the second derivative of -11*y**6/14 - 3*y**5/70 + 55*y**4/28 + y**3/7 - 358*y. Suppose l(j) = 0. What is j?
-1, -2/55, 0, 1
Suppose -500*h + 932 = -68. Let p be 45/(-10)*4/(-6). Factor 10/21*y**h + 0 - 4/21*y - 2/7*y**p.
-2*y*(y - 1)*(3*y - 2)/21
Let z(c) be the second derivative of c**6/90 + 4*c**5/15 - 77*c**3/6 + 76*c. Let w(a) be the second derivative of z(a). Solve w(g) = 0.
-8, 0
Let u(z) be the first derivative of 2*z**3/9 + 3*z**2 + 12*z + 1054. Let u(b) = 0. Calculate b.
-6, -3
Let f(i) be the third derivative of 0 + 1/630*i**7 - 1/6*i**3 + 5/144*i**4 + 11/90*i**5 + 94*i**2 - 1/288*i**8 + 0*i + 7/120*i**6. Solve f(q) = 0 for q.
-1, 2/7, 3
Let p(y) be the third derivative of 0*y**3 + 0*y - 1/75*y**5 + 20 + 1/15*y**4 + y**2 - 1/150*y**6. Determine c so that p(c) = 0.
-2, 0, 1
Let l(k) be the first derivative of 2*k**3/51 - 58*k**2/17 + 95. Let l(w) = 0. Calculate w.
0, 58
Factor 29 - 1/6*g**2 + 173/6*g.
-(g - 174)*(g + 1)/6
Factor 2 + 1/4*d**3 + 17/4*d + 5/2*d**2.
(d + 1)**2*(d + 8)/4
Let s be 40/(40/5) + -427. Let p = 424 + s. Factor -4/7*i**p - 4/7*i**3 + 20/7*i - 12/7.
-4*(i - 1)**2*(i + 3)/7
Factor 15/4*h**2 + 0 - 7/4*h**3 + 1/4*h**5 + 9/2*h - 3/4*h**4.
h*(h - 3)**2*(h + 1)*(h + 2)/4
Let r(a) be the second derivative of 0*a**2 - 7/78*a**4 - 54 - 2/13*a**3 + 9/65*a**5 - 1/39*a**6 - 2*a. What is n in r(n) = 0?
-2/5, 0, 1, 3
Let n(d) be the first derivative of 8*d**5/35 - 17*d**4/7 - 44*d**3/3 - 164*d**2/7 - 96*d/7 - 343. Determine q, given that n(q) = 0.
-2, -1, -1/2, 12
Let v(a) = 8*a**3 + 55*a**2 - 178*a + 25. Let m(k) = -13*k**3 - 83*k**2 + 268*k - 40. Let x(o) = 5*m(o) + 8*v(o). Find j such that x(j) = 0.
0, 4, 21
Let b(j) be the third derivative of 0*j - 1/144*j**6 - 2*j**3 + 0 - 1/48*j**5 + 5/24*j**4 - 2*j**2. Let s(o) be the first derivative of b(o). Factor s(a).
-5*(a - 1)*(a + 2)/2
Let v be (-4)/(-4*(-2)/(-36)). Factor -18*d**3 + 28*d**4 + 28*d**3 + 0*d**2 - 4*d**2 - 16*d**5 - v*d**3.
-4*d**2*(d - 1)**2*(4*d + 1)
Let p(f) = f**2 - 6*f + 8. Let o be p(5). Suppose -17 - o = 5*k, -3*j + 5*k = -26. Factor -10*x**2 + 32*x + 34 + 30 + 14*x**j.
4*(x + 4)**2
Let r = -990243 + 990246. Let -44/13*w - 48/13 + 2/13*w**r + 6/13*w**2 = 0. Calculate w.
-6, -1, 4
Let v(c) = -c + 1. Let b be v(-2). Factor 13*s**2 - 4*s**4 + 12*s**2 + 8*s**4 - 24*s - 24*s**b + 19*s**2.
4*s*(s - 3)*(s - 2)*(s - 1)
Suppose -54 + 320 = 7*d. Factor 117*k**2 - 36*k**2 - d*k**2 - 4 - 42*k**2.
(k - 2)*(k + 2)
Let n(w) be the second derivative of w**6/210 + 4*w**5/5 + 56*w**4 + 6272*w**3/3 + 105*w**2/2 - 201*w. Let s(i) be the first derivative of n(i). Factor s(f).
4*(f + 28)**3/7
Let r = 329493 + -329493. Factor -1/2*w**5 + 1/2*w**4 + r + 1/2*w**3 - 1/2*w**2 + 0*w.
-w**2*(w - 1)**2*(w + 1)/2
Let y(v) be the first derivative of -v**3/2 - 399*v**2/2 - 53067*v/2 - 4277. Factor y(l).
-3*(l + 133)**2/2
Solve -2*i**4 + 1/3*i**3 + 0 - 1/3*i + 2*i**2 = 0 for i.
-1, 0, 1/6, 1
Factor 0 - 2/3*m**4 + 1216*m**2 - 116/3*m**3 - 7872*m.
-2*m*(m - 12)**2*(m + 82)/3
Let q(k) be the second derivative of k**6/40 - 21*k**5/20 + 25*k**4/16 + 27*k**3/4 + 1391*k. Factor q(l).
3*l*(l - 27)*(l - 2)*(l + 1)/4
Let j(z) be the third derivative of 29 + 1/3*z**3 + 0*z + z**2 + 1/5*z**5 - 1/3*z**4 + 1/105*z**7 - 1/15*z**6. Determine u so that j(u) = 0.
1
Factor 10531*o + 5*o**2 - 2688 - 9179*o - 20*o**2 + 11*o**2.
-4*(o - 336)*(o - 2)
Let z be 32181562/6*(-168)/(-32439078). Let b = 2/36779 + z. Factor -100/9*q - 28/9*q**3 + 2/9*q**4 - b + 40/3*q**2.
2*(q - 5)**3*(q + 1)/9
Factor -36*l**2 + 5944*l - 6484*l + 6*l**4 - 9*l**4 + 39*l**3.
-3*l*(l - 10)*(l - 6)*(l + 3)
Factor -27/4 - 15/2*d**3 - 21*d**2 - 41/2*d - 1/4*d**4.
-(d + 1)**3*(d + 27)/4
Let k be (-1)/(-2)*126/2835. Let p(o) be the first derivative of -1/12*o**4 + 1/9*o**3 + k*o**5 - 1/18*o**2 + 0*o + 16. Solve p(d) = 0 for d.
0, 1
Determine v, given that 0 - 26/5*v**3 + 98/5*v - 14*v**2 - 2/5*v**4 = 0.
-7, 0, 1
Let b(o) be the second derivative of 7*o**8/1320 - 2*o**7/165 + 4*o**6/495 - o**3/3 + 27*o**2/2 + 77*o. Let m(h) be the second derivative of b(h). Factor m(l).
2*l**2*(7*l - 4)**2/11
Let j = 7693/6579 - 1/153. Let y = j - 257/258. Solve y*o**4 - 16/3*o + 8 + 2*o**3 - 1/6*o**5 - 8/3*o**2 = 0.
-3, -2, 2
Let a(w) be the third derivative of -2/75*w**5 - 3/5*w**3 + 0*w + 0 - 1/600*w**6 + 77*w**2 - 7/40*w**4. Determine h, given that a(h) = 0.
-3, -2
Let a(j) be the first derivative of j**4/6 + 20*j**3/3 - 44*j**2 - 238*j - 215. Let h(v) be the first derivative of a(v). Let h(q) = 0. What is q?
-22, 2
Find h such that 30*h**3 - 120*h - 216 + 48*h**2 + 3/2*h**4 = 0.
-18, -2, 2
Factor -84*d**4 - 110028*d**2 + 2925*d**3 - 1296540*d + 23*d**4 + 25*d**4 + 31*d**4 - 313332*d**2.
-5*d*(d - 294)**2*(d + 3)
Let k(d) = 10*d + 70. Let a be k(-6). What is i in 12 + 100*i + 52*i + 73*i**2 - a*i**2 - 20*i = 0?
-2, -2/21
Find a suc