) be the third derivative of -v*j**2 + 0*j**3 - 1/2*j**4 + 0*j + 1/20*j**5 + 0. Factor a(y).
3*y*(y - 4)
Let s(r) = 3*r**2 - 98*r + 1212. Let o be s(13). Suppose 3*i - 8*i = -15. Determine j, given that -6 + o*j**2 - 415*j**2 - i*j + 0 = 0.
-2/5, 1/2
Let q(y) = 5*y**2 - 12*y - 6. Suppose -24*l + 28*l - 4 = 0. Let k(d) = -4*d**2 - 37*d + 7*d**2 - 2*d**2 - 1 + 36*d. Let p(j) = l*q(j) - 6*k(j). Factor p(m).
-m*(m + 6)
Let n(z) = 112*z**3 + 3878*z**2 + 910091*z - 1835528. Let y(w) = 25*w**3 + 968*w**2 + 227523*w - 458882. Let d(g) = 4*n(g) - 18*y(g). What is k in d(k) = 0?
-479, 2
Find y, given that -2/3*y**2 - 8/15*y + 8/15 - 2/15*y**5 + 2/15*y**4 + 2/3*y**3 = 0.
-2, -1, 1, 2
Let q(d) = -37*d**2 + 26*d + 67. Let a be q(-3). Let x = a - -344. Solve x + 8/3*p + 4*p**4 - 4/3*p**5 - 4*p**2 - 4/3*p**3 = 0.
-1, 0, 1, 2
Let t(j) be the third derivative of -1/2*j**3 + 0*j + 52*j**2 - 7/96*j**4 + 11/240*j**5 + 0 + 1/840*j**7 + 7/480*j**6. Let t(y) = 0. Calculate y.
-4, -3, -1, 1
Let b(t) be the third derivative of 6*t**2 + 1/3*t**4 + 11/100*t**6 + 0 - t - 3/175*t**7 + 0*t**3 + 28/75*t**5. Suppose b(x) = 0. What is x?
-2/3, 0, 5
Suppose -1112 = 4*o - 1120. Let z(a) be the first derivative of -1/14*a**4 + 4 + 1/7*a**o - 2/7*a + 2/21*a**3. Factor z(x).
-2*(x - 1)**2*(x + 1)/7
Let w be 201/15 - (0 + -31 - -44). Factor -114/5*t**2 - 13718/5 + 2166/5*t + w*t**3.
2*(t - 19)**3/5
Suppose -34 = -12*o + 2. Factor -4*c**o - 6*c + 6*c - 7*c + 13*c - 2*c.
-4*c*(c - 1)*(c + 1)
Suppose -138 = 2*c - 25*c. Factor 268*t**2 - 139*t**2 - 138*t**2 + 3*t**3 + c*t.
3*t*(t - 2)*(t - 1)
Let h be (-6)/(-21) - ((-76)/28 + 1). Factor 1/2*z**h + 5/2*z - 3.
(z - 1)*(z + 6)/2
Factor -361/2 - 1/2*p**2 + 19*p.
-(p - 19)**2/2
Factor -136 + 132*v**2 - 282*v**2 - 44*v + 124*v**2 - 27*v + 2*v**3 - 57*v.
2*(v - 17)*(v + 2)**2
Let u be (72/(-25))/((-6)/15). Let c be (-34)/85*(-3)/3. Factor -c*d**2 + u*d - 162/5.
-2*(d - 9)**2/5
Let b be 1 + (0 - -1) + 0. Let u(p) = -2*p**3 + 45*p**2 + 22*p + 25. Let y be u(23). Factor -35*l**2 - 41*l**b - 22*l - 2*l + 80*l**y + 20.
4*(l - 5)*(l - 1)
Determine f so that 168 + 836*f**4 - 832228*f**5 + 132*f**3 + 832188*f**5 - 427*f**2 - 577*f**2 - 92*f = 0.
-1, -1/2, 2/5, 1, 21
Suppose 6*j = 8*j - 2. Suppose 5*i - 12 = 3*x + 15, -5*i - 4*x - j = 0. Factor o**3 - 3*o**4 - 4*o**3 + 3*o + 0*o**i + 3*o**2.
-3*o*(o - 1)*(o + 1)**2
Let y be (-121)/5 + 33 + 0. Determine m, given that -2/5*m**2 - 242/5 - y*m = 0.
-11
Let a(g) be the first derivative of -g**6/10 + 7*g**5/25 + 43*g**4/20 - g**3 + 1882. Find q, given that a(q) = 0.
-3, 0, 1/3, 5
Suppose 10*g + 99 - 419 = 0. Let t be 11/(847/(-1584))*g/(-3). Factor -1728/7*b**2 - 162/7*b**4 - t*b - 864/7*b**3 - 512/7.
-2*(3*b + 4)**4/7
Suppose -65 = -2*t - 35. Let w(c) = 7*c**3 - 40*c**2 - 3*c + 40. Let r(d) = -50*d**3 + 280*d**2 + 20*d - 280. Let u(o) = t*w(o) + 2*r(o). Factor u(v).
5*(v - 8)*(v - 1)*(v + 1)
Let i = 21104 + -21102. Let a(v) be the first derivative of 1/12*v**6 + 3/8*v**4 + 0*v**i + 0*v - 16 + 1/6*v**3 + 3/10*v**5. Determine w, given that a(w) = 0.
-1, 0
Let u be 291/24 - -3*(-4)/96. Suppose -u*l = -94 + 58. Find s such that 3*s**2 + 0 - 3/2*s**l + 9/2*s = 0.
-1, 0, 3
Determine q so that 22/9*q**3 - 2/9*q**5 - 2*q**2 - 20/9*q + 0 + 2*q**4 = 0.
-1, 0, 1, 10
What is s in -189/8*s**3 + 777/8 + 1281/8*s**2 - 3/4*s**4 + 2241/8*s = 0?
-37, -1, -1/2, 7
Let c(y) be the first derivative of -y**4/8 + 25*y**3/18 - 29*y**2/12 + 7*y/6 + 1160. Let c(x) = 0. What is x?
1/3, 1, 7
Let d(g) be the second derivative of 1/12*g**4 - 1/120*g**6 + 6 - g + 1/12*g**3 - 1/40*g**5 - 3/8*g**2. Factor d(h).
-(h - 1)**2*(h + 1)*(h + 3)/4
Let o(t) be the second derivative of 3*t**5/20 + 5*t**4/4 + 4*t**3 + 6*t**2 + 6602*t. Factor o(x).
3*(x + 1)*(x + 2)**2
Suppose 0 = -h, 5*y = -4*h + 9 + 16. Suppose -y*t + 21 = -19. Find z, given that -t*z**2 + 3*z**2 - z**2 + 50 + z**2 + 45*z = 0.
-1, 10
Let z(t) = t**3 + 19*t**2 - 52*t. Let u(c) = -c**3 - 8*c**2 + 53*c. Let a(m) = 7*u(m) + 6*z(m). Factor a(p).
-p*(p - 59)*(p + 1)
Let p(t) = 3*t - 57. Let d be p(21). Let v be d + 27 + 4*1. Factor 2*i**4 - 143*i + 290*i**2 + 125 + 15*i**4 - 145*i - v*i - i**5 - 106*i**3.
-(i - 5)**3*(i - 1)**2
Let n(d) = 4*d**2 + d - 2. Let l be n(1). Factor 284*b**l - 296*b**3 + 3*b**4 + 108*b - b**4 - 162.
2*(b - 3)**3*(b + 3)
Let n(q) be the third derivative of q**6/24 - 5*q**5/6 - 515*q**4/24 + 280*q**3/3 + 204*q**2. What is f in n(f) = 0?
-7, 1, 16
Let l(p) be the first derivative of -p**4/22 - 4*p**3/3 - 53*p**2/11 + 152*p/11 + 179. Factor l(r).
-2*(r - 1)*(r + 4)*(r + 19)/11
Suppose -9*x + 28743 - 6990 = 0. Determine d so that -3*d**2 + 1318 + x + 108*d + 4*d**2 - 819 = 0.
-54
Let h = -10067 + 10071. Let x(g) be the second derivative of 1/3*g**h - 1/42*g**7 + 0 - 2/5*g**5 + 0*g**2 + 1/6*g**6 + 0*g**3 - 9*g. Factor x(b).
-b**2*(b - 2)**2*(b - 1)
Let d(u) = 7*u**4 + u**3 + u**2 - u - 2. Let m(g) = -110*g**4 - 15*g**3 + 40*g**2 + 105*g + 70. Let l(a) = 15*d(a) + m(a). Factor l(z).
-5*(z - 4)*(z + 1)**2*(z + 2)
Let m be (-6 - (2 + -5))*8/(-6). Suppose m*j - 32 = -3*h, 3*j + h + h = 24. Suppose -8*y - 3*y**2 - 4 - 3*y**2 - 6*y**2 + j*y**2 = 0. What is y?
-1
Let f(c) be the second derivative of c**7/630 + c**6/360 + c**2/2 + 2*c + 1. Let m(v) be the first derivative of f(v). Factor m(o).
o**3*(o + 1)/3
Suppose -7*q - 5 = -26. Let b be 1/2 + 4*q/12. Factor b*w**2 + 1/2*w**3 + 0*w - 2.
(w - 1)*(w + 2)**2/2
Suppose -4*b**2 + 1/5*b**5 + 9/5*b + 2/5*b**4 - 2*b**3 + 18/5 = 0. What is b?
-3, -2, -1, 1, 3
Suppose -933*t - 4 = -935*t. Let n = -602/5 - -121. Factor 1/5*d**t + n*d + 0.
d*(d + 3)/5
Suppose -111 + 43 = 17*i. Let g be i/18*(-60)/30. Factor -4 - g*y**2 - 8/3*y.
-4*(y + 3)**2/9
Suppose 33*j - 35*j + v - 3 = 0, 2*j + 4*v - 32 = 0. Factor 0 - 26/11*p + 2/11*p**j.
2*p*(p - 13)/11
Let y be -2 + 42/24 + 9/4. Solve -10*g**2 - 11*g**2 - 14*g**y + 13*g**3 + 15*g + 12*g**3 - 5*g**4 = 0 for g.
0, 1, 3
Let x = 794/455 + -2/65. Let m = -155618/105 + 22274/15. Factor -6/7 + m*d - 24/7*d**2 + x*d**3 - 2/7*d**4.
-2*(d - 3)*(d - 1)**3/7
Let y(u) be the first derivative of -u**3 + 1281*u**2 - 10630. Let y(o) = 0. What is o?
0, 854
Let m(z) be the second derivative of -z**7/14 - 79*z**6/10 + 9*z**5/20 + 239*z**4/4 + 79*z**3 + 360*z. Let m(w) = 0. Calculate w.
-79, -1, 0, 2
Suppose 4*x + 91 = -g, -2*g = -6*g + 3*x - 345. Let q = g - -90. Let 1/5 + 6/5*s**q - 6/5*s - 1/5*s**2 = 0. Calculate s.
-1, 1/6, 1
Factor 8904/5*y - 4955076/5 - 4/5*y**2.
-4*(y - 1113)**2/5
Let i(d) be the third derivative of -d**6/180 - 4*d**5/3 + 41*d**4/3 - 496*d**3/9 - 2258*d**2. Factor i(r).
-2*(r - 2)**2*(r + 124)/3
Let u = 1411 + -1381. Let s be 2*93/u + -6. Factor 1/5*k**5 + 0*k**4 + 0*k - s*k**3 + 0 + 0*k**2.
k**3*(k - 1)*(k + 1)/5
Let a = -5 - -11/2. Let q = 111551/2 + -55775. Factor 1/8*f**2 + a*f + q.
(f + 2)**2/8
Let r(d) be the third derivative of -3/160*d**6 + 3*d**2 + 3/32*d**4 + 11*d + 0 - 1/4*d**3 + 1/80*d**5 + 1/280*d**7. Solve r(m) = 0.
-1, 1, 2
Let i(c) be the first derivative of 2*c**7/21 + 34*c**6/15 - 18*c**5/5 + 116*c + 121. Let a(u) be the first derivative of i(u). Solve a(g) = 0 for g.
-18, 0, 1
Let o(p) be the third derivative of -p**5/40 + 3*p**4/2 - 35*p**3 - 983*p**2. Factor o(n).
-3*(n - 14)*(n - 10)/2
Let k be (-50)/(-6) + 299 + -292. Factor k*t - 2*t**2 + 16/3.
-2*(t - 8)*(3*t + 1)/3
Let v(s) be the third derivative of s**6/320 - 27*s**4/64 - 27*s**3/8 + 25*s**2 + 5. Factor v(l).
3*(l - 6)*(l + 3)**2/8
Let g(z) be the first derivative of z**6/180 - 19*z**5/60 - 5*z**4/3 + 22*z**3 - 19. Let m(d) be the third derivative of g(d). Find x such that m(x) = 0.
-1, 20
Suppose 133*x**2 + 136 - 608*x + 4*x**4 - 136*x**3 - 49 + 153 + 367*x**2 = 0. Calculate x.
1, 2, 30
Let v(r) be the first derivative of r**7/280 + 3*r**6/160 - r**5/40 - 3*r**4/8 - r**3 + 57*r**2 + 10. Let f(c) be the second derivative of v(c). Factor f(s).
3*(s - 2)*(s + 1)*(s + 2)**2/4
Let f(b) be the first derivative of b + 3*b**4 + 2/15*b**6 + 4 - 14/3*b**3 - b**5 + 4*b**2. Let p(o) be the first derivative of f(o). Solve p(x) = 0 for x.
1, 2
Let k(z) be the third derivative of 45*z**8/112 - 89*z**7/14 - 329*z**6/24 - 13*z**5/12 + 55*z**4/12 + 941*z**2. What is d in k(d) = 0?
-1, -1/3, 0, 2/9, 11
Let z(f) be the third 