irst derivative of -3*z**4/2 - 4*z**3/3 + z**2 - 4*z - 149. Let q(v) = 19*v**3 + 11*v**2 - 5*v + 14. Let p(a) = -2*q(a) - 7*s(a). Factor p(k).
2*k*(k + 2)*(2*k - 1)
Determine z so that -950/7*z + 472/7*z**2 + 2/7*z**3 + 68 = 0.
-238, 1
Find w such that 3/4*w - 45/2 + 3/4*w**2 = 0.
-6, 5
Let m(p) be the third derivative of -p**5/15 + 23*p**4/6 - 88*p**3 - 1826*p**2. Factor m(w).
-4*(w - 12)*(w - 11)
Let x(j) be the first derivative of j**3/3 - j**2 + 2*j + 30. Let y be x(0). Factor -s**2 - 122*s**4 + 59*s**4 - y*s**3 + 62*s**4.
-s**2*(s + 1)**2
Let l(m) = -60*m - 837. Suppose 2*b = s + 10, 0 = 2*s + 13*b - 12*b + 30. Let n be l(s). Factor -20/7*p + 4/7 + 40/7*p**2 - 4/7*p**5 - 40/7*p**n + 20/7*p**4.
-4*(p - 1)**5/7
Determine x so that 0 + 1/7*x**2 - 376/7*x = 0.
0, 376
Let b(z) be the first derivative of 2025*z**2 + 0*z - 60*z**3 + 1/2*z**4 - 5. Factor b(q).
2*q*(q - 45)**2
Factor 0 + 1/4*m**2 - 180*m.
m*(m - 720)/4
Suppose 3 = -c + f + 2*f, -4*f - 61 = 3*c. Let q = 17 - c. Let -3 + q + 5*d**2 + 20*d - 14 = 0. Calculate d.
-3, -1
Let r be 22/(-38) + (190/10)/38. Let l = 13/76 - r. Let -1/2 - l*k + 1/2*k**2 + 1/4*k**3 = 0. Calculate k.
-2, -1, 1
Factor 3*l**3 + l**2 - 284*l**4 + 281*l**4 + 5*l**2.
-3*l**2*(l - 2)*(l + 1)
Suppose -3*m + 51 = 0, 1060 - 1130 = -g - 4*m. Determine u so that 2/7*u**g - 22/7*u + 0 = 0.
0, 11
Let m(f) be the first derivative of f**6/480 - f**5/240 - f**4/16 + 3*f**2 - 2. Let u(l) be the second derivative of m(l). Suppose u(p) = 0. Calculate p.
-2, 0, 3
Find m, given that -63/4*m**5 + 3*m + 51/4*m**3 + 15*m**2 + 0 - 15*m**4 = 0.
-1, -2/3, -2/7, 0, 1
Let v(j) be the first derivative of -3/40*j**5 - 22 + 3*j**4 - 48*j**3 + 384*j**2 + 2*j. Let l(b) be the first derivative of v(b). Factor l(o).
-3*(o - 8)**3/2
Let t(d) be the second derivative of 55*d**5/4 + 5*d**4/4 - 100*d**3/3 + 30*d**2 + 205*d - 6. Factor t(h).
5*(h + 1)*(5*h - 2)*(11*h - 6)
Let j = 514665 + -3602654/7. Let 48/7 - j*n**2 + 22/7*n = 0. What is n?
-2, 24
Let x = -8 - -12. Let n(d) = -d - 22. Let t be n(-24). Determine h so that 4/11*h**3 + 2/11 + 2/11*h**x - 4/11*h**t - 2/11*h**5 - 2/11*h = 0.
-1, 1
Let a(p) = -8*p**2 - 372*p - 17304. Let z(l) = -42*l**2 - 1860*l - 86522. Suppose 14*n - 30*n = -256. Let i(q) = n*a(q) - 3*z(q). Suppose i(t) = 0. Calculate t.
-93
Let c(p) be the first derivative of 5/4*p**4 + 2/3*p**5 - 10/3*p**2 + 34 + 0*p - 5/18*p**6 - 20/9*p**3. Determine o so that c(o) = 0.
-1, 0, 2
Let v(t) = 35*t**3 + 5815*t**2 - 191300*t + 1452650. Let b(d) = 3*d**3 + 529*d**2 - 17391*d + 132059. Let a(q) = 45*b(q) - 4*v(q). Factor a(n).
-5*(n - 49)**2*(n - 11)
Let r(d) be the first derivative of -625*d**6/12 - 7325*d**5/2 - 7200*d**4 - 17180*d**3/3 - 2284*d**2 - 456*d + 564. Solve r(w) = 0 for w.
-57, -2/5
Let u(m) = 337*m + 3035. Let b be u(-9). Let p = -1/8 - -29/8. Suppose -4 - 9*j - p*j**b = 0. What is j?
-2, -4/7
Let d(z) be the second derivative of -z**5/4 + 415*z**4/6 - 17630*z**3/3 + 33620*z**2 + 112*z. Factor d(q).
-5*(q - 82)**2*(q - 2)
Let a(p) = p**3 - 5*p**2 + 7*p - 11. Let r be a(4). Factor r + 1 - 1065*g**3 + 1037*g**3 + 8*g**2 + 20*g**4 - 2.
4*g**2*(g - 1)*(5*g - 2)
Let x(i) be the third derivative of -i**5/12 - 115*i**4/12 + 425*i**3/2 - 2467*i**2. Solve x(z) = 0 for z.
-51, 5
Let g(x) = -5*x**5 - 7*x**4 + 82*x**3 - 72*x**2 - 42*x - 12. Let w(h) = -2*h**3 + 2*h**2 + h + 6. Let r(b) = g(b) + 2*w(b). Determine a so that r(a) = 0.
-5, -2/5, 0, 2
Let a = 675 - 740. Let q be (a/20 + 4)*1. What is u in -3/8*u - q - 15/8*u**3 + 3*u**2 = 0?
-2/5, 1
Let p(c) be the first derivative of c**6/12 - c**5/5 - 13*c**4/8 - 5*c**3/3 - 4404. Factor p(t).
t**2*(t - 5)*(t + 1)*(t + 2)/2
Determine y, given that -2/9*y**2 - 256/9 + 86/3*y = 0.
1, 128
Let o(q) be the third derivative of 29/8*q**4 + 14*q**3 + 0 + 2*q + 128*q**2 + 1/20*q**5. Factor o(h).
3*(h + 1)*(h + 28)
Let v(q) = 3*q**3 + 29*q**2 + 29*q + 11. Let d be v(-8). Let b be (10/16)/(-5 - d/(-18)). Find o such that 15/2*o**2 + b*o**4 - o - 2 - 23/4*o**3 = 0.
-2/5, 1, 2
Let j(x) be the first derivative of x**3/12 + 365*x**2/4 + 2064. Find u, given that j(u) = 0.
-730, 0
Let k(r) be the first derivative of -4/15*r**2 + 0*r**3 + 1/30*r**4 - 170 + 0*r. Factor k(a).
2*a*(a - 2)*(a + 2)/15
Let f be (14/49 - 16/56)/(-3). Let k(y) = 59*y - 2. Let m be k(2). Determine x so that -720 - 5*x**2 + f*x - 4*x - m*x = 0.
-12
Suppose -1017 = 13*p - 561 - 508. Let -8/17 + 22/17*z**2 + 40/17*z**3 + 4/17*z**5 + 22/17*z**p - 8/17*z = 0. What is z?
-2, -1, 1/2
Factor -23*z**3 - 37*z**3 + 1797 - 1094 - 510*z - 265*z**2 - 1063 - 10*z**4 + 5*z**4.
-5*(z + 2)*(z + 3)**2*(z + 4)
Let h(p) = -2*p + 11. Let c(y) = -4*y**2 + 77*y - 77. Let q(b) = 2*c(b) + 14*h(b). Factor q(v).
-2*v*(4*v - 63)
Let w(b) be the third derivative of -1/1512*b**8 + 1/270*b**6 - 1/135*b**5 + 1/27*b**3 - 97*b**2 + 0 + 0*b - 1/108*b**4 + 1/945*b**7. Factor w(l).
-2*(l - 1)**3*(l + 1)**2/9
Let k(b) be the second derivative of 1/5*b**5 + 29/6*b**3 + 5*b**2 - 43/12*b**4 + 0 - b. What is y in k(y) = 0?
-1/4, 1, 10
Factor 3133*h**3 + 3005*h**2 + 0*h**4 - 8220*h + 459*h**2 - 3485*h**3 + 2332*h + 4*h**4 + 2772.
4*(h - 77)*(h - 9)*(h - 1)**2
Let p(k) = -51*k**3 + 231*k**2 + 541*k + 1661 - 22*k - 1703. Let c(f) = 5*f**3 - 23*f**2 - 52*f + 4. Let d(l) = -21*c(l) - 2*p(l). Factor d(i).
-3*i*(i - 9)*(i + 2)
Let c = -25324 - -25326. Determine h so that -63*h - 3/7*h**3 + 9*h**c + 147 = 0.
7
Let u be 276/(-207)*(175/(-20) + 5). Solve 1/2*a**3 + 0*a**2 + 0*a + 1/2*a**u + a**4 + 0 = 0 for a.
-1, 0
Let s be (3 - (-230)/(-72)) + (-6)/27. Let z = 11/20 + s. Factor 4/15*q - z*q**2 + 0.
-2*q*(q - 2)/15
Let v = -8971/4 + 2243. Factor -16 - v*h**2 + 4*h.
-(h - 8)**2/4
Let i(d) be the first derivative of d**7/105 - 4*d**6/75 - 116*d + 56. Let l(s) be the first derivative of i(s). Let l(z) = 0. What is z?
0, 4
Suppose 3170 + 1081 = 39*v. Let o = v + -109. Solve o - 6/17*s**2 + 4/17*s + 2/17*s**3 = 0 for s.
0, 1, 2
Let d = -1483 - -2575. Find j, given that 7047*j**2 + d + 807 - 7039*j**2 + 232*j - 217 = 0.
-29/2
Let n(i) be the first derivative of -i**6/840 - 11*i**5/28 - 3025*i**4/56 - 14*i**3/3 - i**2 + 69. Let z(b) be the third derivative of n(b). Factor z(c).
-3*(c + 55)**2/7
Let k(h) = -2*h**2 - 45*h - 60. Let a be k(-21). Let v(p) be the first derivative of -1/15*p**a - 7 + 0*p + 0*p**2. Factor v(f).
-f**2/5
Let k(h) be the second derivative of -5*h**4/24 + 125*h**3/36 + 15*h**2/2 - 2611*h - 1. Factor k(f).
-5*(f - 9)*(3*f + 2)/6
Let g(i) be the first derivative of 2*i**5/15 + 7*i**4 - 2*i**3/3 - 128*i**2/3 - 56*i + 852. Solve g(z) = 0 for z.
-42, -1, 2
Let g = -1151919/140 + 8228. Let s(q) be the third derivative of 0 + 0*q - 1/96*q**4 - 13/480*q**6 + 0*q**3 + g*q**7 - 18*q**2 + 1/30*q**5. Factor s(j).
j*(j - 1)**2*(6*j - 1)/4
Let k = 67400 + -202196/3. Factor 8 + k*u**2 + 20/3*u.
4*(u + 2)*(u + 3)/3
Let h = -393836 - -393840. Factor -8/5*u + 6/5*u**2 + 4/5*u**3 - 8/5 - 2/5*u**h.
-2*(u - 2)**2*(u + 1)**2/5
Suppose 57*o = 8*o + o. Suppose o = -3*v - 2*z + 2, -2*v = -v + z. Factor 2*r**3 + 0 - 18/7*r**v + 4/7*r.
2*r*(r - 1)*(7*r - 2)/7
Factor -28*f - 41*f**3 + 24*f**3 - 24 + f**2 + 15*f**2 + 21*f**3 - 16.
4*(f - 2)*(f + 1)*(f + 5)
Let g(z) be the second derivative of -z**6/165 - 149*z**5/110 + z - 400. Factor g(i).
-2*i**3*(i + 149)/11
Factor -136/5 + 1/5*r**3 + 206/5*r - 71/5*r**2.
(r - 68)*(r - 2)*(r - 1)/5
Let s = -47 + 29. Let f be s/(-21)*(2 + 5/(-10)). Let -3/7*t**5 + 0 + f*t**3 + 0*t + 6/7*t**2 + 0*t**4 = 0. What is t?
-1, 0, 2
Let j(g) be the first derivative of 2*g**3/21 + 39*g**2/7 - 1620*g/7 + 7150. Factor j(m).
2*(m - 15)*(m + 54)/7
Solve 2119*l + 0*l**4 - 720 + 38166*l**2 + 205*l**3 - 5*l**4 - 39106*l**2 - 659*l = 0 for l.
1, 2, 36
Let u(y) be the second derivative of y**6/40 - 69*y**5/160 - 3*y**4/8 - 2*y + 493. Factor u(x).
3*x**2*(x - 12)*(2*x + 1)/8
Let r(v) be the third derivative of 0*v - 7/1080*v**6 + 0 - 38*v**2 - 11/540*v**5 + 0*v**3 - 5/216*v**4 - 1/1890*v**7. Factor r(c).
-c*(c + 1)**2*(c + 5)/9
Let p(o) be the third derivative of 13/16*o**4 + 0*o - 1/672*o**8 - 7/15*o**5 + 17/120*o**6 - 1/70*o**7 - 254*o**2 + 0 - 5/6*o**3. Find n such that p(n) = 0.
-10, 1
Let l(z) = -z**3 - 7*z**2 - z + 35. Let f be l(-6). Suppose 2*s = -4*u + 6, 3*s - 34 = 