ivative of 0 + 0*h**2 - 2*h**3 - 3/20*h**5 + 60*h - h**4. Factor o(c).
-3*c*(c + 2)**2
Let f(t) be the first derivative of 3*t**5/20 + 2*t**4 - 19*t**3/2 + 15*t**2 - 99*t - 11. Let w(y) be the first derivative of f(y). Let w(g) = 0. What is g?
-10, 1
Factor -k**3 - 105685 + 1240*k**2 + 3567*k - 51131 - 449*k**2 - 159591*k.
-(k - 396)**2*(k + 1)
Let v(l) be the third derivative of -l**5/20 + 285*l**4 + 2281*l**3/2 + 7102*l**2. Factor v(s).
-3*(s - 2281)*(s + 1)
Let t be 95/(-10) - (-20)/40. Let q be t/(-1) + (-7943)/893. Factor q*s + 0 + 2/19*s**2.
2*s*(s + 1)/19
Let l be ((-18 - -21) + 138/(-40))/((-24)/40). Let x(s) be the second derivative of 0 + 3/16*s**3 + 1/32*s**4 - l*s**2 - 8*s. Solve x(w) = 0.
-4, 1
Let q = -1785332/3 - -595132. Let 8*v**3 - q*v - 128 + 2/3*v**4 + 24*v**2 = 0. Calculate v.
-6, -4, 2
Let k(c) be the third derivative of c**9/560 - c**8/175 + c**7/280 + c**6/300 + 9*c**3 - 90*c**2. Let b(s) be the first derivative of k(s). Factor b(a).
3*a**2*(a - 1)**2*(9*a + 2)/5
Let l(h) be the second derivative of -h**5/10 - 6*h**4 - 35*h**3/3 - 2*h + 674. Factor l(r).
-2*r*(r + 1)*(r + 35)
Let j(d) = -42*d + 213. Let k be j(5). Factor -3*i**4 + 36*i**k - 16*i**2 + 12*i**5 - 21*i**4 - 7*i**5 + 0*i**2 - i**5.
4*i**2*(i - 4)*(i - 1)**2
Let f(c) be the second derivative of -c**7/84 + c**6/60 + 3*c**5/4 + 708*c + 5. Suppose f(i) = 0. Calculate i.
-5, 0, 6
Let f(y) be the first derivative of -14*y**5/5 + 52*y**4 + 8245. Find k such that f(k) = 0.
0, 104/7
Let l(j) be the second derivative of -j**6/180 + 29*j**5/120 - 11*j**4/3 + 20*j**3 + 3603*j. Solve l(m) = 0 for m.
0, 5, 12
Let r(v) be the second derivative of -1/96*v**4 + 5*v + 0*v**2 - 1/80*v**5 + 1/24*v**3 + 1/240*v**6 - 2. Factor r(j).
j*(j - 2)*(j - 1)*(j + 1)/8
Let i(t) be the third derivative of t**8/26880 - 3*t**7/560 - 37*t**6/960 + 3*t**5/2 + t**2 + 22*t. Let n(m) be the third derivative of i(m). Factor n(o).
3*(o - 37)*(o + 1)/4
Let z(p) be the first derivative of -p**4 + 412*p**3/3 - 406*p**2 + 404*p + 1078. Determine r, given that z(r) = 0.
1, 101
Let h(u) be the third derivative of -u**7/420 + 13*u**6/15 - 41*u**5/8 - u**4/12 + 205*u**3/3 + 5395*u**2. Determine y, given that h(y) = 0.
-1, 2, 205
Let m(k) be the third derivative of -k**7/630 - 49*k**6/120 - 148*k**5/5 + 1369*k**4/18 + 460*k**2. Suppose m(l) = 0. What is l?
-74, 0, 1
Factor -2/3*m**4 + 0*m + 16/3*m**2 - 32/3 + 0*m**3.
-2*(m - 2)**2*(m + 2)**2/3
Let f(u) be the first derivative of -34*u**6/3 - 1148*u**5/5 - 1326*u**4 - 3712*u**3/3 + 256*u**2 + 446. What is b in f(b) = 0?
-8, -1, 0, 2/17
Let c be (0/8)/7 - -4. Suppose c*a - 3*p + 3 = -6*p, 0 = -4*a - 5*p - 5. Factor -2/9*l**3 + 1/9*l**2 + 0*l + 1/9*l**4 + a.
l**2*(l - 1)**2/9
Let f(b) = -13*b**2 - 142*b - 185. Let t(c) = -4*c**2 - 50*c - 62. Let g(o) = -2*f(o) + 7*t(o). Factor g(i).
-2*(i + 1)*(i + 32)
Let x(p) be the third derivative of p**6/180 + p**5/5 + 11*p**4/12 + 43*p**3/2 - 130*p**2. Let u(z) be the first derivative of x(z). Factor u(q).
2*(q + 1)*(q + 11)
Let k(g) = 2*g**2 - 11*g - 2. Let f(x) = 11*x**2 - 140*x + 63. Let c(h) = f(h) - 6*k(h). Factor c(z).
-(z - 1)*(z + 75)
Factor 3/8*z**4 + 3/8*z**3 - 3/4 - 15/8*z - 9/8*z**2.
3*(z - 2)*(z + 1)**3/8
Let t(r) be the third derivative of r**7/5880 + r**6/252 + 17*r**5/840 + r**4/21 + 9*r**3 + 46*r**2. Let h(m) be the first derivative of t(m). Factor h(k).
(k + 1)**2*(k + 8)/7
Let s = -544/2565 - -14068/17955. Factor s*h - 2/7*h**2 + 0.
-2*h*(h - 2)/7
Let k(w) = 28*w**2 - 1152*w + 1028. Let y be k(41). Factor -3/2*f**2 + 72*f - y.
-3*(f - 24)**2/2
Let v(o) be the first derivative of -o**4/3 + 520*o**3/9 - 3200*o**2 + 48000*o + 3462. Determine f, given that v(f) = 0.
10, 60
Suppose 3*a - 32 = -4*b + 7, -65 = -5*a + 3*b. Suppose -12 = -2*k - k. Let -3*i**k - 71*i**2 - a*i**2 - 96*i - 32*i**3 - 4*i**2 - 36 - i**4 = 0. Calculate i.
-3, -1
Let u be (-24)/68 + (-3894774)/(-45968). Factor -3/8*w**2 - 45/4*w - u.
-3*(w + 15)**2/8
Let y be (-21)/7 + 2 + 6. Factor -7*x**3 + x**5 + 24*x**2 + 25*x**3 - 58*x**4 - 21*x + 2*x**y + 34*x**4.
3*x*(x - 7)*(x - 1)**2*(x + 1)
Factor 1/5*g**2 + 0 + 361/5*g.
g*(g + 361)/5
Let g(t) = 59*t + 2658. Let z be g(-45). Let m(r) be the second derivative of 0 - 1/42*r**4 - 1/7*r**2 - 8*r - 1/6*r**z + 3/140*r**5. Factor m(x).
(x - 2)*(x + 1)*(3*x + 1)/7
Let p = -226 - -231. Suppose p*j = g + 6 + 5, -4*j = -g - 9. Suppose -2*h**j + 0 - 9*h**3 - 81/8*h**4 + 0*h = 0. What is h?
-4/9, 0
Suppose -4*w - 8 - 8 = 0, -8 = -5*z - 3*w. Suppose 4*l = z*m, 4*l + m = 6*l. Determine s, given that 0*s + 1/5*s**2 - 1/5*s**3 + l = 0.
0, 1
Let d(j) = 4*j**2 + 2*j. Let u = -1 + -1. Let v(h) = -5*h**3 - 5*h**3 - 5*h - 15*h**3 + 24*h**3 + 6*h. Let p(q) = u*d(q) + 4*v(q). Let p(n) = 0. Calculate n.
-2, 0
Suppose -1654*m = -2179*m. Factor m*c**2 - 1/5*c**3 + 0*c + 0.
-c**3/5
Let l(h) be the second derivative of -4 - 27/2*h**2 - h - 1/180*h**6 + 23/4*h**3 - 1/8*h**5 - 29/72*h**4. Determine n, given that l(n) = 0.
-9, 1, 2
Let c(f) be the first derivative of 5*f**7/42 + f**6 + 9*f**5/4 + 5*f**4/3 + 236*f + 162. Let r(u) be the first derivative of c(u). Factor r(j).
5*j**2*(j + 1)**2*(j + 4)
Let v(i) be the third derivative of -i**6/24 + 41*i**5/3 + i**2 - 1200. What is y in v(y) = 0?
0, 164
Suppose -308*f + t - 2 = -312*f, -4*t - 34 = -5*f. Let 1/7*o**3 + 5/7*o**f - 4/7*o - 20/7 = 0. Calculate o.
-5, -2, 2
Factor 4*o**3 + 209*o - 56*o**2 - 57*o - 68*o - 84*o.
4*o**2*(o - 14)
Suppose 0 = -5*b - 141 + 21. Let d be 4/(b/(-43)) - 7. Factor d*z**4 - 1/2*z + 0 - 1/6*z**3 - 5/6*z**2.
z*(z - 3)*(z + 1)**2/6
Let u(v) be the second derivative of -v**7/630 + 2*v**6/15 - 23*v**5/30 + 247*v**4/12 + 149*v - 2. Let y(h) be the third derivative of u(h). Factor y(s).
-4*(s - 23)*(s - 1)
Let g be 69/(-187)*-1 + (-29301)/(-166039). Solve 0*w**2 + 0*w - 6/11*w**4 + 0 - g*w**5 + 0*w**3 = 0.
-1, 0
Let q(t) be the third derivative of -t**8/336 + t**7/14 - 49*t**6/120 + 19*t**5/20 - 11*t**4/12 + 17*t**2 + 23. Let q(y) = 0. Calculate y.
0, 1, 2, 11
Let k be 6*((-10)/(-50) + 9/30). Let r(w) be the second derivative of 0 + 0*w**2 + 19*w - 1/6*w**k + 1/6*w**4 - 1/20*w**5. Suppose r(v) = 0. Calculate v.
0, 1
Let r(y) be the third derivative of 25*y**8/1344 + 31*y**7/84 + 13*y**6/32 - 517*y**5/24 + 85*y**4/3 + 80*y**3 - 1006*y**2. Suppose r(s) = 0. Calculate s.
-8, -2/5, 1, 3
Let f(c) = -c**2 + 22*c - 19. Let z be f(17). Suppose -78 = -4*o - z. Factor 5/3*x - 1/3*x**o + 1 + 1/3*x**2.
-(x - 3)*(x + 1)**2/3
Let b(n) = 50*n**2 - 2568*n + 274732. Let u(a) = -27*a**2 + 1284*a - 137364. Let d(o) = 6*b(o) + 11*u(o). Suppose d(v) = 0. Calculate v.
214
Let f be (8/(-3))/(4/(-4)*8). Solve f*b**5 + 0 - 2*b**4 + 4/3*b - 4*b**2 + 13/3*b**3 = 0 for b.
0, 1, 2
Let c(k) be the first derivative of -1/18*k**4 - 233 - 2000000/9*k - 200/9*k**3 - 10000/3*k**2. Factor c(f).
-2*(f + 100)**3/9
Let r = -42 + 139. Factor 5*l**5 + 10*l**4 - 20 + 0*l**2 + 10*l**2 + 200*l - 40*l**3 - 68*l - r*l.
5*(l - 1)**3*(l + 1)*(l + 4)
Let y = -1409 - -1409. Let w(n) be the third derivative of 1/7*n**3 + 0 + y*n + 1/42*n**5 + 1/140*n**6 + 9*n**2 - 11/84*n**4. Solve w(z) = 0 for z.
-3, 1/3, 1
Let u(x) be the first derivative of 3*x**4/4 + 29*x**3 + 120*x**2 + 156*x - 3637. Determine r, given that u(r) = 0.
-26, -2, -1
Let t(o) = 2*o - 1. Let y(l) = 6*l + 3. Let d(x) = 6*t(x) - y(x). Let a(n) = n**2 + 2*n. Let s(b) = -3*a(b) - 3*d(b). Factor s(u).
-3*(u - 1)*(u + 9)
Suppose -v - 8*v + 27 = 0. Let x - 490*x**3 - 29*x**2 - v*x**2 + 4 + 422*x**3 - 52*x**4 + x - 14*x**5 = 0. Calculate x.
-1, 2/7
Let u(w) = 7*w**4 + 1234*w**3 + 136099*w**2 + 4. Let m(r) = -27*r**4 - 4947*r**3 - 544398*r**2 - 15. Let k(n) = 4*m(n) + 15*u(n). Factor k(h).
-3*h**2*(h + 213)**2
Let h(n) be the third derivative of -n**5/10 - 11*n**4/30 + 16*n**3/15 + 1057*n**2 + n. Factor h(i).
-2*(i + 2)*(15*i - 8)/5
Let s(a) be the first derivative of -3*a**5 - 85*a**4/4 - 5*a**3/3 + 325*a**2/2 - 220*a - 2615. Let s(w) = 0. What is w?
-4, -11/3, 1
Let h(t) = 9*t**2 + 539*t + 7586. Let d(k) = -3*k**2 - 180*k - 2529. Let v be 600/25 + 7/(-1). Let b(r) = v*d(r) + 6*h(r). Find u, given that b(u) = 0.
-29
Factor 51*g**2 + 49*g**2 - 24 - 20*g + 47*g**2 - 139*g**2 + 4*g**3.
4*(g - 2)*(g + 1)*(g + 3)
Let n = 176 - 168. Let u(g) =