 + w**6/20 + 17*w**5/4 + 89*w**4/4 - 132*w**3 - 3816*w**2 - 2*w. Determine h so that z(h) = 0.
-6, -4, 1, 11
Let t(o) be the first derivative of 65/14*o**4 - 184 + 0*o - 2/7*o**2 + 2/7*o**3. Factor t(l).
2*l*(5*l + 1)*(13*l - 2)/7
Let d(o) = -o + 4. Let h be d(0). Suppose y = -2*w - 2*y + 25, 0 = -4*y + h. Factor 4*u**4 + 4*u - 8*u**3 + 19 - 4 + 4*u**5 - w - 8*u**2.
4*(u - 1)**2*(u + 1)**3
Solve 0*q**4 - 132*q**3 - 2*q**4 - q**4 + 3468*q - 686*q**2 + 103173 + 126*q**2 - 970*q**2 = 0 for q.
-17, 7
Let g be 7*5/(-20) - 35/((-245)/14). Solve -3/4 - 1/2*j + g*j**2 = 0.
-1, 3
Let h(y) = 42*y**3 + 489*y + 189. Let z(j) = -j**3 + j**2 - 2*j - 14. Let o(u) = h(u) + 45*z(u). Factor o(v).
-3*(v - 21)*(v - 1)*(v + 7)
Let t(y) be the third derivative of -y**2 + 1/360*y**5 + 11/144*y**4 - 1/3*y**3 - 6*y + 0. Factor t(s).
(s - 1)*(s + 12)/6
Let d(w) be the third derivative of -2*w**2 + 0*w**3 - 1/336*w**8 + 102 + 1/60*w**6 + 0*w - 1/24*w**4 + 0*w**5 + 0*w**7. Factor d(q).
-q*(q - 1)**2*(q + 1)**2
Let b be (-94)/(-14) + 4/14 + -2. Let f be b/(-30) + 242/12. Suppose -f*x**4 - 5*x**2 + 2*x**2 + x**5 + 23*x**4 - 14*x + 12*x + x**3 = 0. What is x?
-2, -1, 0, 1
Let g be (-2)/2 - ((1104/(-54))/(-8) + -4). Let t(u) be the first derivative of 0*u**2 + 0*u - 1/18*u**6 - 3 - 2/3*u**4 - 1/3*u**5 - g*u**3. Factor t(v).
-v**2*(v + 1)*(v + 2)**2/3
Factor 226*y + 35591*y**2 + 35597*y**2 + 660 - 71186*y**2.
2*(y + 3)*(y + 110)
Let q be -3 + (-1)/(2205/(-6139)). Let p = 16/45 - q. Suppose -t**3 + 23/7*t**2 + p - 20/7*t = 0. What is t?
2/7, 1, 2
Let v(s) be the second derivative of -s**6/180 + 747*s**5/20 - 5026561*s**4/72 + 278880*s**3 - 1254400*s**2/3 - 9183*s. Factor v(p).
-(p - 2240)**2*(p - 1)**2/6
Let q(l) be the first derivative of -3*l**5/5 - 318*l**4 - 44944*l**3 + 1625. Let q(z) = 0. What is z?
-212, 0
Let j be (45 - 42)/((-30)/844). Let z = -84 - j. Suppose -8/5*h**2 - 8/5*h + z*h**3 + 2/5*h**4 + 0 = 0. Calculate h.
-2, -1, 0, 2
Let k be 179/(-13)*(1848/(-1788) + 1). Let f = k - 1/1937. Factor f*w**3 + 0*w - 8/13*w**2 + 0 + 2/13*w**4.
2*w**2*(w - 1)*(w + 4)/13
Let v(d) be the second derivative of -d**4/66 - 206*d**3/11 + 228*d + 14. Factor v(z).
-2*z*(z + 618)/11
Let v(j) be the second derivative of j**5/5 - j**4/3 - 682*j**3/3 + 5082*j**2 - 10*j - 33. Solve v(y) = 0.
-21, 11
Suppose x - 19 = -16, 3*x - 9 = 4*m. Factor m*u - 1/4*u**3 + 0 + 1/2*u**2.
-u**2*(u - 2)/4
Let y be 4 - -2 - (-1 + 4). Let d = 25 - 23. Factor 7*c**4 + c**5 + 28*c**y + 2*c**2 - c**d - 17*c**2 - 20*c**3.
c**2*(c - 1)*(c + 4)**2
Factor -50 + 1/4*y**2 + 23/2*y.
(y - 4)*(y + 50)/4
Suppose -165 = -10*l - 15. Let h be (-1 - 0)*5/(l/(-597)). Factor h*t - 4*t**2 + t**2 - 202*t + 6.
-3*(t - 1)*(t + 2)
Suppose -709 + 229 = -24*w. Let j(a) be the third derivative of -3/2*a**3 - 1/240*a**5 - 1/8*a**4 + 0*a + 0 + w*a**2. Factor j(f).
-(f + 6)**2/4
Suppose -215 = -4*s + 5*j, 2*s - 121 = 3*j - 12. Let k be (-2)/(380/s + -8). What is y in 2/11*y**3 - 4/11*y**4 + 0 + 0*y**2 + 2/11*y**k + 0*y = 0?
0, 1
Let c(x) be the first derivative of 41/7*x**2 + 32/7*x + 5/21*x**3 + 147. Factor c(b).
(b + 16)*(5*b + 2)/7
Let j(i) = i**2 + 4*i - 10. Let c = 44 + -50. Let l be j(c). Find g, given that 7*g**4 - 4*g**4 - 6*g**3 + 2*g**l + 15*g**5 + 3*g**4 - 17*g**5 = 0.
0, 1
Let a be (-116)/(-14) - (-4)/(-14) - (-35 - -39). Let w(t) be the first derivative of -26 - t**2 + 1/3*t**3 + 1/8*t**4 - a*t. Factor w(g).
(g - 2)*(g + 2)**2/2
Suppose 15 = n - 13. Suppose -5*g - 3*s = -205, -5*g + n = -4*g - 2*s. Solve -6*b**3 - 15*b**2 - 43*b**4 - 9*b**3 + g*b**4 + 5*b**2 = 0 for b.
-2, -1, 0
Let x(d) = 9*d**5 - 11*d**4 + 3*d**3 - 5*d**2 - 12*d + 12. Let f(o) = -11*o**5 + 15*o**4 - 3*o**3 + 3*o**2 + 13*o - 12. Let l(n) = 4*f(n) + 5*x(n). Factor l(c).
(c - 1)**2*(c + 2)**2*(c + 3)
Let g(v) be the first derivative of -6*v**5 + 2873*v**4/4 - 2176*v**3/3 - 857*v**2/2 + 190*v + 9888. Suppose g(x) = 0. What is x?
-2/5, 1/6, 1, 95
Let v(h) be the first derivative of -h**5/60 - 100*h**4/3 - 799*h**3/6 - 599*h**2/3 - 1597*h/12 + 7801. Factor v(y).
-(y + 1)**3*(y + 1597)/12
Let v be (-32)/(-6)*45/60. Let p(j) be the first derivative of 0*j - 32 - 1/24*j**v + 1/4*j**2 - 1/9*j**3. Factor p(s).
-s*(s - 1)*(s + 3)/6
Let x(w) be the second derivative of -w**7/15120 + w**6/270 + 17*w**5/720 - w**4/12 + w**2 - 72*w. Let y(s) be the third derivative of x(s). Factor y(a).
-(a - 17)*(a + 1)/6
Let l(s) = 36*s**2 - 126*s + 130. Let d(c) = -7*c**2 - c. Let p(q) = 5*d(q) + l(q). Find f such that p(f) = 0.
1, 130
Determine j, given that 1832/3*j - 419528/3 - 2/3*j**2 = 0.
458
Suppose -43 = 5*v - 3*l - 208, 2*v = 3*l + 66. Let z(d) = -d**3 + 30*d**2 + 96*d + 101. Let g be z(v). Factor 3/5*f - 1/5*f**3 + 0 - 2/5*f**g.
-f*(f - 1)*(f + 3)/5
Let s(g) be the first derivative of g**4 + 146*g**3/3 + 292*g**2 + 256*g - 1784. Suppose s(u) = 0. What is u?
-32, -4, -1/2
Let o(k) = -17*k - 19*k - 102*k + 27*k + 777. Let v be o(7). Let 0*j**2 + v - 1/3*j + j**3 + 2/3*j**4 = 0. What is j?
-1, 0, 1/2
Let i(r) be the second derivative of r**4/36 + 535*r**3/9 + 286225*r**2/6 + 1908*r. Solve i(n) = 0 for n.
-535
Suppose 0*c - 2/19*c**3 + 100/19*c**2 + 0 = 0. What is c?
0, 50
Let g(z) be the first derivative of 0*z**3 + 1/1140*z**6 + 29/2*z**2 - 1/57*z**4 + 0*z**5 + 24 + 0*z. Let h(m) be the second derivative of g(m). Factor h(t).
2*t*(t - 2)*(t + 2)/19
Solve 3/2*u**5 + 0 + 0*u - 6*u**3 + 0*u**2 + 9/2*u**4 = 0.
-4, 0, 1
Let g be 3/(-8) + 53277/56. Let n = 2857/3 - g. Factor 2/3*m**4 + 0*m + 0 + n*m**3 - 2/3*m**5 + 0*m**2.
-2*m**3*(m - 2)*(m + 1)/3
Let h = -47 + 82. Let a be h/5 + -1 - -2. Factor 30*b**3 + 12 + 268*b**4 + 65*b**2 + 13*b + 47*b + a - 263*b**4.
5*(b + 1)**2*(b + 2)**2
Let a(c) be the first derivative of -23/5*c**4 + 44/5*c**2 + 2/15*c**6 - 10 - 44/15*c**3 + 64/5*c - 4/5*c**5. Find u, given that a(u) = 0.
-2, -1, 1, 8
Suppose 101*i - 83 - 119 = 0. Let b(z) be the third derivative of 0*z + 0 + 1/120*z**5 - 40*z**i - 1/48*z**4 + 0*z**3. Factor b(p).
p*(p - 1)/2
Let x be (-1402)/(-11) + 156/286. Factor -137*r - 37*r**2 + 48*r**3 - 196 - 71*r - 51*r**2 - 4*r**4 - x*r.
-4*(r - 7)**2*(r + 1)**2
Let c(k) be the third derivative of k**5/15 - 9*k**2. Let f be c(-1). Factor -16 - f*r**2 + 3*r + 22*r - 9*r.
-4*(r - 2)**2
Let n be 1/(((-28)/16)/(-7)). Suppose 56 = 3*r + 4*c - 9, -n*r - 4*c = -80. Find o such that 17*o**3 - 3*o**2 - o**4 - r*o**5 + 0*o**3 - 2*o + 4*o**2 = 0.
-1, -2/5, 0, 1/3, 1
Let j(q) = q**3 - q**2 - q + 2. Let y be j(2). Let u = 2/12183 - -33841/4061. Let -7/3*w**y - 4/3 - 16/3*w - 19/3*w**3 - u*w**2 - 1/3*w**5 = 0. Calculate w.
-2, -1
Let p be 2488/(-14) - (-7 + (-51)/(-7)). Let y = 538/3 + p. Let y*a**2 - 4/3*a + 0 = 0. Calculate a.
0, 1
Factor 2/15*w**3 - 596/15*w - 6*w**2 - 272/5.
2*(w - 51)*(w + 2)*(w + 4)/15
Suppose -16573 = -26*q + 4071. Suppose 4*f**2 - 484*f**3 - 485*f**4 + q*f**4 - 725*f**4 - 20 + 116*f - 64*f**5 = 0. Calculate f.
-5, -1, 1/4
Let j be ((-100)/35)/(-5)*112/32. Let m(r) be the first derivative of -1/3*r**6 + 0*r + 5/4*r**4 + 27 + 5/3*r**3 - 3/2*r**j - r**5. Find h such that m(h) = 0.
-3, -1, 0, 1/2, 1
Let o(u) be the first derivative of -u**4/2 - 4*u**3/3 + 3*u**2 - 1768. Factor o(r).
-2*r*(r - 1)*(r + 3)
Let d = -30 + 152/5. Let t be (-394)/(-130) + (-460)/14950. Find b, given that 6/5*b**t + 2/5*b**2 - 6/5*b + 0 - d*b**4 = 0.
-1, 0, 1, 3
Suppose 2*w + 6 - 8 = d, 12 = 4*d - 3*w. Suppose 24 = 9*l + d. Factor -9/8*o**l + 3/8*o**3 + 3/4*o + 0.
3*o*(o - 2)*(o - 1)/8
Let z(y) be the third derivative of -y**6/30 - 3*y**5/5 + 50*y**4/3 - 128*y**3 + 23*y**2 + 34. Determine q, given that z(q) = 0.
-16, 3, 4
Let d(a) = 51*a**4 + 329*a**3 + 117*a**2 + 9*a. Let q(f) = -11*f**4 - 82*f**3 - 29*f**2 - 2*f. Let b(x) = 2*d(x) + 9*q(x). Factor b(k).
k**2*(k - 27)*(3*k + 1)
Let u = 2536533 - 53267183/21. Let r be ((-4)/10)/(21/(-5)). Factor -u*m**2 - 2/7*m + r*m**4 - 2/21*m**3 + 0.
2*m*(m - 3)*(m + 1)**2/21
Let k be (-112)/(-10) + (13975/430)/((-26)/(-4)). Factor -18/5*h + 1/5*h**2 + k.
(h - 9)**2/5
Suppose -40 = -40*o - 35*o + 110. Let h(g) be the first derivative of -1/4*g**4 + 0*g + 44 - 1/3*g**3 + 0*g**o. Factor h(k).
-k**2*(k + 1)
Let b(z) = 9*z**4 + 22*z**3 + 39*z**2 - 90*z - 232. Let p(l) = -3*l**4 + l**3 + 8. Let o(c) = b(c) + 2*p(c). Find v,