ative of -h**7/28 - 71*h**6/12 - 10201*h**5/40 + 17879*h**4/24 - 310*h**3 - 900*h**2 + 1099*h. Find l, given that c(l) = 0.
-60, -1/3, 1
Let y be (1146 - 1147)*(12/4)/(-27). Factor 0 + 0*d + 1/3*d**4 - 4/9*d**5 + y*d**3 + 0*d**2.
-d**3*(d - 1)*(4*d + 1)/9
Suppose 92*b - 374 = 81*b. Let k be 3 + (-30)/b - 2/17. Factor -4/9*s + 4/9*s**3 - 2/9*s**4 + 2/9*s**k + 0.
-2*s*(s - 2)*(s - 1)*(s + 1)/9
Let v(y) = -1 - 4*y**4 - 5*y**4 + y + 10*y**4 + 0*y. Let q(f) = 6*f**4 + 4*f**3 + 2*f**2 + 4*f - 4. Let b(d) = -q(d) + 4*v(d). Determine x so that b(x) = 0.
-1, 0
Let i(v) be the second derivative of -v**5/4 - 485*v**4/12 - 80*v**3 - 1597*v. Solve i(a) = 0.
-96, -1, 0
Let j = 7617 + -14519/2. Let o = j + -9287/26. Find r such that -o - 2/13*r**3 - 10/13*r - 8/13*r**2 = 0.
-2, -1
Let g = 52 - 40. Suppose -w + y = -1, w + y + 1 = g. Let -w*r - 3/2*r**4 + 6*r**3 - 9/2*r**2 + 6 = 0. What is r?
-1, 1, 2
Let z(a) be the third derivative of a**10/15120 - a**9/3780 + 21*a**4/4 - a**3/3 - 29*a**2. Let k(i) be the second derivative of z(i). Solve k(r) = 0 for r.
0, 2
Let m = 56261/180 + -6189/20. Find u, given that 652/9*u**2 - 176/9*u**3 - 304/9*u - 16 - m*u**4 = 0.
-9, -2/7, 1, 2
Let o(y) be the third derivative of -y**2 + 2*y - 4/75*y**5 + 0*y**3 + 0 - 6/175*y**7 - 2/25*y**6 + 0*y**4. Factor o(q).
-4*q**2*(3*q + 2)**2/5
Let n be (-115)/(-46)*(4 + 1 + -3). Let g(v) be the first derivative of 9/7*v**2 + n + 1/7*v**3 + 27/7*v. Determine j, given that g(j) = 0.
-3
Let -c**2 + 3*c**2 + 150*c + 84 - 46 + 87 + 23 = 0. What is c?
-74, -1
Let a(t) = -2940*t**3 - 1257200*t**2 + 480005*t + 239935. Let k(n) = 105*n**3 + 44900*n**2 - 17143*n - 8569. Let o(b) = -3*a(b) - 85*k(b). Solve o(l) = 0.
-428, -2/7, 2/3
Suppose -x = 3*q - 8*q + 7, -5*q - 3*x + 19 = 0. Factor 3243*t - 3251*t - 8*t**q + 17*t**3 + 9*t**3 - 10*t**4.
-2*t*(t - 2)*(t - 1)*(5*t + 2)
Let o(k) be the first derivative of -k**3/21 - 162*k**2/7 - 26244*k/7 + 84. Let o(f) = 0. Calculate f.
-162
Let i(f) be the first derivative of -f**6/42 - 9*f**5/35 - 8*f**4/7 - 8*f**3/3 - 24*f**2/7 - 16*f/7 + 832. Factor i(d).
-(d + 1)*(d + 2)**4/7
Let t(p) be the second derivative of p**6/20 - 21*p**5/5 - 29*p**4/2 - 4007*p. Factor t(m).
3*m**2*(m - 58)*(m + 2)/2
Let t = -54012 + 54014. What is w in -4/3*w**4 - 44/3*w**t + 8*w**3 + 0 + 8*w = 0?
0, 1, 2, 3
Let z be (130/(-78))/((-70)/126). Determine c, given that 8*c**z - 32/3*c**4 + 32/3*c**2 + 0 - 4*c**5 - 4*c = 0.
-3, -1, 0, 1/3, 1
Let j(z) be the third derivative of -z**7/70 - 11*z**6/20 + 141*z**5/20 + 81*z**4/4 - z**2 - 1414*z. Determine v so that j(v) = 0.
-27, -1, 0, 6
Let t(p) be the second derivative of p**6/90 - 163*p**5/60 + 1007*p**4/4 - 182585*p**3/18 + 297754*p**2/3 + 438*p. Determine b, given that t(b) = 0.
4, 53
Let z(l) be the second derivative of -3*l**5/20 - 321*l**4/2 - 103041*l**3/2 - 2435*l. Let z(h) = 0. Calculate h.
-321, 0
Let u(j) be the first derivative of -2*j**3/3 - 30*j**2 - 250*j + 1248. Determine v so that u(v) = 0.
-25, -5
Let o = -90 - -124. Let t be o/10 + -3 + 2. Determine j so that 0 - 3/5*j**3 + t*j - 3/5*j**4 + 12/5*j**2 = 0.
-2, -1, 0, 2
Let c(h) be the third derivative of h**7/105 + 11*h**6/30 + 8*h**5/15 - 17*h**4/2 + 21*h**3 + 126*h**2 + 6*h. Determine g, given that c(g) = 0.
-21, -3, 1
Let x(m) be the second derivative of 115/12*m**4 + 0 - 25*m + 5*m**3 + 0*m**2 + 1/2*m**6 + 4*m**5. Factor x(p).
5*p*(p + 2)*(p + 3)*(3*p + 1)
Let n(g) = -2*g**4 + 28*g**3 - 165*g**2 - 252*g + 396. Let a(u) = -u**4 + u**3 + u**2 + 4. Let z(p) = -2*a(p) + 2*n(p). Factor z(r).
-2*(r - 14)**2*(r - 1)*(r + 2)
Suppose -i + 12 = 2*y + 13, -4*y + 1 = 3*i. Let a be 8/(-312)*i*-2. Suppose 0 + 8/13*l**2 + 0*l - a*l**5 - 6/13*l**4 + 0*l**3 = 0. What is l?
-2, 0, 1
Suppose x = 4*x - o - 56, -3*x + 2*o + 55 = 0. Let d(a) be the first derivative of x + 0*a + 1/10*a**2 + 1/30*a**3. Factor d(z).
z*(z + 2)/10
Let c(v) be the second derivative of -v**5/110 - 3*v**4/22 + 7*v**3/11 - 5*v**2/2 - v + 5. Let o(u) be the first derivative of c(u). Factor o(d).
-6*(d - 1)*(d + 7)/11
Let c(t) be the first derivative of -2*t**5/25 - 76*t**4/5 + 614*t**3/15 - 154*t**2/5 - 1604. Factor c(i).
-2*i*(i - 1)**2*(i + 154)/5
Let h(f) = 4*f + 11. Let k(j) = -9*j - 22. Let o(l) = 5*h(l) + 3*k(l). Let a be o(-3). Factor a - 4*b**2 + 0*b**2 + 9*b**2 - 15*b.
5*(b - 2)*(b - 1)
Let k(y) be the third derivative of 1/84*y**8 - y**2 - 1/35*y**7 - 1/12*y**4 + 1/10*y**5 + 0*y**3 + 0*y - 18 - 1/60*y**6. Suppose k(s) = 0. Calculate s.
-1, 0, 1/2, 1
Suppose 0 = -11*o + 3531 - 187. Let a be (-8)/(4/(-2)) + (-1140)/o. Find i, given that -1/4*i**3 - 1/2*i**2 + a*i + 1/2 = 0.
-2, -1, 1
Let m(r) = -8*r**3 + 6004*r**2 - 11975*r + 5991. Let j(l) = 55*l**3 - 42025*l**2 + 83825*l - 41935. Let a(p) = -3*j(p) - 20*m(p). Find x such that a(x) = 0.
1, 1197
Let n be 202/12 - 705/846. Let o be (n + -142)*2/(-7). Factor 12*m - 4/3*m**3 - o + 4*m**2.
-4*(m - 3)**2*(m + 3)/3
Let i(x) be the first derivative of x**5 - 125*x**4 + 5250*x**3 - 61250*x**2 - 1071875*x - 378. Solve i(z) = 0.
-5, 35
Let j(r) be the second derivative of 5*r**4/12 - 55*r**3 + 320*r**2 + 944*r. Factor j(g).
5*(g - 64)*(g - 2)
Let h = 290/1587 + 239/1587. Determine v so that 10/3 + h*v**2 - 11/3*v = 0.
1, 10
Let j(n) be the first derivative of -n**3/6 + 73*n**2 - 10658*n - 255. What is d in j(d) = 0?
146
Factor 58*u**2 - 1666*u + 1607*u - 12 + 13.
(u - 1)*(58*u - 1)
What is w in 6629*w - 3350*w + 288 + 60*w**2 - 4*w**3 - 3527*w = 0?
2, 4, 9
Suppose 3*y = -s + 5, 14*s - 10*s - 4*y - 4 = 0. Determine i so that 80*i + 29*i**s + 39*i**2 - 30 + 22 + 2*i**4 + 32*i**3 + 16*i**2 + 34 = 0.
-13, -1
Factor -3*p**3 - 107 - 36348*p + 36657*p - 123 - 166 + 90*p**2.
-3*(p - 33)*(p - 1)*(p + 4)
Suppose 4*t = t + 9. Suppose -2*h = -2*v - 6*h + 8, 9 = -t*h. Let v + 6 + 25*z**2 - 1 - 2*z**3 + 7*z**3 + 35*z = 0. What is z?
-3, -1
Let f = 154232 - 616921/4. Factor f*d**3 + 0*d + 3/4*d**2 + 1/4*d**5 + 0 + 5/4*d**4.
d**2*(d + 1)**2*(d + 3)/4
Suppose -4*j - 3*z - 159 = -1744, -395 = -j - z. Determine y, given that j + 4*y**2 + y**2 - 7*y**2 - 11*y + 91*y + 6*y**2 = 0.
-10
Suppose 25*i - 61 = -11. Factor -48*w**3 + 27*w**3 + 2327*w + 10741*w + 25*w**3 + 143748 + 396*w**i.
4*(w + 33)**3
Let c(i) be the first derivative of -4/9*i**2 + 2/27*i**3 - 22 + 0*i. Find j, given that c(j) = 0.
0, 4
Factor -5607 + 11235 - 32*n + 2*n**2 - 5532.
2*(n - 12)*(n - 4)
Let a(r) be the second derivative of -r**5/80 - r**4 + r**3/24 + 6*r**2 - r + 15. Factor a(w).
-(w - 1)*(w + 1)*(w + 48)/4
Let s(w) = w**3 - w + 5. Let h(o) = -17*o**3 + 55*o**2 + 75*o + 58. Let b(p) = -2*h(p) + 22*s(p). Factor b(y).
2*(y - 3)*(y + 1)*(28*y + 1)
Let p = -1184698/7 + 169256. Find b, given that 92/7 + 2/7*b**2 - p*b = 0.
1, 46
Let w(t) be the first derivative of 0*t - 2/9*t**3 - 50 + 1/12*t**4 + 0*t**2. Find p, given that w(p) = 0.
0, 2
Suppose -3*y + 2*y - r + 3 = 0, 12 = 4*y - 5*r. Suppose 3*o + 10 = x, 0 + 4 = y*x + 4*o. Factor 280*u**3 + 146*u + 4 - 51*u - 9 + 15 + 285*u**2 + 80*u**x.
5*(u + 1)*(u + 2)*(4*u + 1)**2
Let u(j) be the second derivative of j**7/252 - j**6/45 - j**5/120 + j**4/18 - 1160*j. What is k in u(k) = 0?
-1, 0, 1, 4
Find q, given that -286*q**2 + 7058*q**4 - 7056*q**4 + 288*q + 10064 + 304 - 4*q**3 = 0.
-8, 9
Let q(s) be the second derivative of s**4/6 + 380*s**3/3 + 149*s - 32. What is p in q(p) = 0?
-380, 0
Factor 704*s - 15 + 42*s**4 + 54*s**2 - 406 + 4*s**3 - 40*s**4 - 347 - 230*s**2.
2*(s - 4)**2*(s - 2)*(s + 12)
Let k = 182 - 544/3. Suppose -64*u = -77*u. Let -2*v**2 + k*v**3 + u - 8/3*v = 0. What is v?
-1, 0, 4
Let c(f) be the third derivative of -f**5/12 - 175*f**4/24 - 125*f**3 + 2*f**2 - 3688*f. Determine o, given that c(o) = 0.
-30, -5
Let u(p) be the first derivative of -p**4/4 + 8*p**3/3 + 10*p**2 + 1564. Factor u(v).
-v*(v - 10)*(v + 2)
Let x(q) be the first derivative of -q**4 - 88*q**3/3 - 64*q**2 + 640*q - 1163. Factor x(y).
-4*(y - 2)*(y + 4)*(y + 20)
Let p(y) be the second derivative of 13/51*y**3 - 5*y - 7/17*y**2 - 5/102*y**4 - 5 - 1/170*y**5. Factor p(n).
-2*(n - 1)**2*(n + 7)/17
Let l(w) be the second derivative of w**6/24 - 1471*w**5/16 + 452635*w**4/8 - 2024005*w**3/6 + 673445*w**2 + 12984*w. Let l(h) = 0. Calculate h.
1, 2, 734
Let q(t) = 3*t**2 - 50*t - 37. Let