3 - 3. Let k(a) be the third derivative of n(a). What is s in k(s) = 0?
1, 3, 5
Let w(q) be the second derivative of q**4/42 + 340*q**3/7 + 260100*q**2/7 + 498*q - 1. Factor w(m).
2*(m + 510)**2/7
Let p be (2 - 2)/(1 + (-6 - (-4 + 5))). Let o(c) be the third derivative of p + 4*c**2 + 0*c - 1/270*c**5 + 0*c**3 + 1/18*c**4. What is l in o(l) = 0?
0, 6
Suppose -2392 = -25*a + 17*a. Determine g, given that 140*g**2 - 25*g - a*g**2 + 124*g**2 + 10 = 0.
-1, 2/7
Let m(r) be the first derivative of r**7/840 - r**6/480 + r**2/2 + 10*r - 41. Let k(u) be the second derivative of m(u). Factor k(i).
i**3*(i - 1)/4
Factor 3832 + 1902 + 120*p + 1573*p**2 + 1942 - 1576*p**2 - 1073.
-3*(p - 71)*(p + 31)
Let j be (5 + -32)/(-27)*(2 + 4 - 4). Factor -8 + 2/3*p**j + 2/3*p.
2*(p - 3)*(p + 4)/3
Determine w, given that -688/5 + 352/5*w - 4/5*w**2 = 0.
2, 86
Let g(z) be the third derivative of z**5/450 + 5*z**4/18 + 47*z**3/15 + z**2 - 97. Suppose g(i) = 0. Calculate i.
-47, -3
Let t(f) = -3*f - 1. Let n(z) = -77*z**2 - 12 + 158*z**2 - 79*z**2 - 7*z. Let k(x) = -n(x) + 6*t(x). Suppose k(m) = 0. What is m?
-6, 1/2
Let p(w) = -12*w**4 + 18*w**3 - 97*w**2 + 194*w - 11. Let d(c) = 10*c**2 - 11*c**2 + 7 - 6 + c**4 + 2*c. Let a(i) = -22*d(i) - 2*p(i). Solve a(q) = 0 for q.
0, 6
Let o = 2974266 + -4101512547/1379. Let i = o - 10/197. Find g, given that -1/7*g**2 - 2/7*g - i = 0.
-1
Let a(j) = -13*j + 115. Let w be a(9). Let y(l) = 45*l**2 + 1775*l - 713. Let z(b) = 15*b**2 + 592*b - 238. Let i(g) = w*y(g) + 7*z(g). Factor i(c).
3*(c + 40)*(5*c - 2)
Factor -44*w**2 + 291 + w**3 - 582 + 291 + 7*w**2.
w**2*(w - 37)
Let b be 852/(-144) - 8/16 - -11. Let k(j) be the second derivative of 0 - b*j**4 + 5/6*j**3 - 5/2*j**5 + 5*j**2 + 6*j. Suppose k(i) = 0. What is i?
-1, -1/2, 2/5
Let q = -39 - -41. Let k(u) = 22*u - 1 + u**q + u**2 - 21*u - u**2. Let l(o) = -16*o**3 - 52*o**2 - 40*o + 4. Let h(m) = -4*k(m) - l(m). Factor h(z).
4*z*(2*z + 3)**2
Let m(u) be the first derivative of -2*u**3/3 - 73*u**2 - 420*u - 9924. Factor m(i).
-2*(i + 3)*(i + 70)
Let g = -27642 + 193502/7. Let l(p) be the first derivative of 3/14*p**4 - 26/21*p**3 + 1/21*p**6 - 46 - g*p**2 + 24/7*p + 2/7*p**5. What is i in l(i) = 0?
-3, -2, 1
Let k(y) be the first derivative of 14/15*y**3 - 6/5*y**6 + 0*y + 84/25*y**5 - 61/20*y**4 - 1/10*y**2 + 105. Factor k(r).
-r*(r - 1)**2*(6*r - 1)**2/5
Let z be ((-46)/(-23))/(5 + (-57)/38). Suppose -z*y**2 - 2/21*y**3 + 0 - 10/21*y = 0. What is y?
-5, -1, 0
Let d be 15/(-20)*(-12)/9. Factor -o**3 + 5*o**2 + 0*o + 10*o**2 - 14*o**2 + o - d.
-(o - 1)**2*(o + 1)
Let s(m) be the third derivative of -2*m**5/225 + 499*m**4/180 + 338*m**3/15 + 5698*m**2. Find h such that s(h) = 0.
-2, 507/4
Let i be 1/2 + ((-140)/(-8) - 10). Let l be (i - (-161)/(-7))*(-4)/18. Solve l*v + 5/3 + 5/3*v**2 = 0 for v.
-1
Solve 2273253297363/2 - 5598*a**3 + 3/2*a**4 - 4872997422*a + 7834401*a**2 = 0.
933
Let z(p) be the second derivative of -p**4/42 - 151*p**3/14 + 227*p**2/14 + 23*p + 13. Factor z(m).
-(m + 227)*(2*m - 1)/7
Let q(j) be the first derivative of 2/3*j**3 + 40 + 18*j + 10*j**2. Factor q(a).
2*(a + 1)*(a + 9)
Let o(p) be the third derivative of 7/20*p**5 + 4*p**2 - 2*p + 13/8*p**4 + 0 + 0*p**3 - 3/20*p**6. Factor o(m).
-3*m*(m + 1)*(6*m - 13)
Let r(o) = -19*o + 212. Let q be r(11). Suppose -28*x - 66*x - 3*x**q - 38 - 3*x - 62*x**2 = 0. What is x?
-19, -1, -2/3
Let y be 1160/812 + (-2096)/(-728). Factor -58/13 + y*k + 2/13*k**2.
2*(k - 1)*(k + 29)/13
Let g(v) be the first derivative of -4*v**3/5 - 208*v**2/5 - 272*v/5 + 1220. Let g(q) = 0. What is q?
-34, -2/3
Let j(c) be the second derivative of c**7/630 - 7*c**6/180 - 4*c**5/15 + c**4/6 - 131*c**3/6 + c + 168. Let t(i) be the third derivative of j(i). Factor t(h).
4*(h - 8)*(h + 1)
Suppose -3*q + 24 = -q. Suppose 7*s + 4*h = 3*s + 184, q = -4*h. Let -25*b**3 + b**2 + 5*b + 3 - 25*b**3 + s*b**3 = 0. Calculate b.
-1, 3
Let n(u) = 5*u**2 - 7*u - 4. Let z(a) = -139*a - 415. Let c be z(-3). Let y be n(c). Suppose -8/9*b**y - 2/3 + 13/9*b + 1/9*b**3 = 0. What is b?
1, 6
Find y, given that -11*y**3 + 3*y**5 + 22*y**3 + 45693*y - 45969*y + 123*y**2 + 132 + 6*y**3 - 39*y**4 + 40*y**3 = 0.
-2, 1, 2, 11
Let f(i) = -i**3 + 15*i**2 - 34*i - 24. Let k(g) = -4*g - 20. Let x be k(-8). Let w be f(x). Factor w - 16/5*j**3 + 28/5*j**2 + 8/5*j.
-4*j*(j - 2)*(4*j + 1)/5
Let p(o) be the first derivative of o**6/10 + o**5/15 - 32*o**3/3 + 25. Let y(d) be the third derivative of p(d). Determine a, given that y(a) = 0.
-2/9, 0
Let a(p) be the second derivative of 2*p**7/21 - 14*p**6/3 + 443*p**5/5 - 2449*p**4/3 + 3760*p**3 - 7200*p**2 - p + 165. Suppose a(w) = 0. What is w?
1, 5, 12
Let u(m) be the third derivative of -m**8/448 - 5*m**7/168 + 43*m**6/480 + 197*m**5/240 - 11*m**4/4 - 9*m**3/2 + 8*m**2 - 65*m. Suppose u(k) = 0. What is k?
-9, -3, -1/3, 2
Let p be 2/(-11) - (888/(-44) + 5). Suppose -o - j = 3, -o - j = -6*j - p. Let -2/13*u**2 + 8/13 + o*u = 0. Calculate u.
-2, 2
Let t(m) be the second derivative of -m**5/10 + 31*m**4/3 - 340*m**3 + 1800*m**2 + 300*m. Solve t(v) = 0 for v.
2, 30
Factor 31*a**2 + 141*a - 1890 - 193*a**2 + 2*a**3 + 1037*a + 871*a + a**3.
3*(a - 35)*(a - 18)*(a - 1)
Suppose 0 = 60*p - 141 - 99. Let y(c) be the first derivative of 8 - 2/3*c**3 - c**2 + 0*c - 1/8*c**p. Factor y(n).
-n*(n + 2)**2/2
Find i such that 0 + 6561/7*i - 243*i**2 - 153/7*i**3 - 3/7*i**4 = 0.
-27, 0, 3
Let f(a) be the second derivative of a**7/357 - 2*a**6/51 - 5*a**5/34 + 5*a**4/51 + 8*a**3/17 + 3663*a. Solve f(h) = 0.
-2, -1, 0, 1, 12
Let u = 276220 + -1929153/7. Let g = u + -625. Factor g*d + 6/7*d**2 + 6/7.
6*(d + 1)**2/7
Let h be 18/204 - (-463815)/84150. Determine p so that 6*p + 2/5*p**2 + h = 0.
-14, -1
Solve -105/2*u**2 - 1/10*u**3 - 7020*u - 33800 = 0 for u.
-260, -5
Let m(d) be the first derivative of -d**5/35 + 61*d**4/7 - 15364*d**3/21 + 29280*d**2/7 - 57600*d/7 - 504. Factor m(o).
-(o - 120)**2*(o - 2)**2/7
Let l = 765 - 1471. Let f = 709 + l. Let -2*c - 4*c**2 - 4*c**f - 2/5 - 2/5*c**5 - 2*c**4 = 0. Calculate c.
-1
Suppose 4*b - 5*d + 347 = 8*b, 5*d = 2*b - 181. Let o be 4/(-2)*2 + b. Factor 36*z - 4*z**2 + 111 - 1006 + o*z - 5.
-4*(z - 15)**2
Let f(v) be the third derivative of v**5/12 - 215*v**4/24 + 205*v**3/3 - 305*v**2. Determine o so that f(o) = 0.
2, 41
Let k be ((-39)/26)/(5/30). Let i be k/(-2) + 465/(-124). Factor 0*j + 0 - i*j**2 + 1/4*j**3.
j**2*(j - 3)/4
Let t(i) be the third derivative of i**6/200 - 21*i**5/25 + 1029*i**4/40 - 343*i**3 + 1020*i**2. Factor t(h).
3*(h - 70)*(h - 7)**2/5
Let v(l) be the third derivative of 20*l**5 + 0 + 10000/3*l**3 - 37*l + 1000/3*l**4 + 1/105*l**7 - 2*l**2 + 2/3*l**6. Solve v(z) = 0.
-10
Suppose 35 = 5*f - 4*l, -2*f - 186 = -2*l - 202. Determine o, given that -1/4*o**f + 16 - 12*o + 3*o**2 = 0.
4
Let t be (2/(-105)*9)/((-11873)/40215 - (-2)/(-15)). Let -61/5*y + 126*y**2 + t + 200*y**4 - 460*y**3 = 0. Calculate y.
1/10, 2
Let m(y) = -45*y**3 - 147*y**2 + 129*y + 81. Let n(p) = -531*p**2 - 13*p**3 + 489*p**2 - 13 + 37*p + 36. Let c(o) = -5*m(o) + 18*n(o). Factor c(g).
-3*(g - 1)*(g + 3)*(3*g + 1)
Factor 3*a**2 - 20/7*a - 1/7*a**3 + 0.
-a*(a - 20)*(a - 1)/7
Let o(c) be the second derivative of -c**4/30 - 538*c**3/3 - 361805*c**2 - 324*c. Factor o(v).
-2*(v + 1345)**2/5
Let x(k) be the first derivative of k**4/18 - 596*k**3/3 + 266412*k**2 - 158781552*k - 1895. Factor x(d).
2*(d - 894)**3/9
Let a = -3/513670 + 16437461/3595690. Factor -32/7*y + 2/7*y**3 + a - 2/7*y**2.
2*(y - 4)*(y - 1)*(y + 4)/7
Let v(i) = -3*i - 6. Let k be v(-3). Suppose 3*a + a = -5*c - 10, 4*c + a - k = 0. Factor 1 - 20*y**2 - 7 - 24*y + c.
-4*(y + 1)*(5*y + 1)
Find x such that 14/5 + 1/10*x**3 + 13/5*x**2 - 11/2*x = 0.
-28, 1
Let f(p) = 4544*p - 172670. Let t be f(38). Suppose 3/5*s**t - 117/5*s + 0 = 0. Calculate s.
0, 39
Let f(v) be the first derivative of 16*v**5/5 + v**4 - 112*v**3/3 - 62*v**2 - 24*v + 2557. Determine u, given that f(u) = 0.
-2, -1, -1/4, 3
Let m(x) be the second derivative of 13*x**4/6 + 49*x**3/3 - 294*x**2 - 387*x + 1. Factor m(v).
2*(v + 7)*(13*v - 42)
Let o = 248 - 211. Factor -22 + 65*x - 1 - 5*x**2 - o.
-5*(x - 12)*(x - 1)
Let f(g) be the first derivative of -2*g**3/33 + 15*g**2/11 - 52*g/11 - 1029. Fa