)/(74/(-6) + -1). Let t(a) be the second derivative of 9*a - 3/16*a**4 - 243/8*a**2 + k*a**5 + 27/8*a**3 + 0. Factor t(d).
(d - 9)**3/12
Let a(o) be the third derivative of -o**6/1020 - 31*o**5/510 - 7*o**4/17 - 1626*o**2. Factor a(v).
-2*v*(v + 3)*(v + 28)/17
Let n be 105/(-165)*4092/(-465). Find p such that -6 + 2/5*p**2 + n*p = 0.
-15, 1
Let z be -28 + -16 - (-8008)/98. Factor -162/7*s**3 + 0 + 372/7*s**2 + 3/7*s**5 + 15/7*s**4 - z*s.
3*s*(s - 2)**3*(s + 11)/7
Let u(s) be the second derivative of 1/98*s**7 + 32*s + 1/7*s**4 + 0*s**2 - 39/140*s**5 + 6/7*s**3 + 0 - 2/35*s**6. Determine g so that u(g) = 0.
-2, -1, 0, 1, 6
Let f be (-930)/(-124)*8/(-6). Let r be (128/576)/(f/(-18)). Factor 2/5*o - r*o**2 + 4/5.
-2*(o - 2)*(o + 1)/5
Let n(x) be the second derivative of x**4/27 - 131*x**3/27 - 161*x**2/3 + 728*x - 6. Let n(g) = 0. Calculate g.
-7/2, 69
Let c(d) be the second derivative of 1/60*d**4 + 0*d**3 - 2/5*d**2 - 21*d + 0. Find g such that c(g) = 0.
-2, 2
Let c(s) be the first derivative of -s**5/105 - s**4/14 + 28*s**2 - 73. Let p(h) be the second derivative of c(h). Determine u, given that p(u) = 0.
-3, 0
Let b(o) = -220*o**2 + 205*o + 465. Let l(t) = -t**3 + t**2 - t + 5. Let x(m) = -b(m) + 5*l(m). Factor x(k).
-5*(k - 44)*(k - 2)*(k + 1)
Let i(x) be the second derivative of -19/48*x**4 + 9/20*x**5 + 0*x**2 - 38*x + 0 + 1/12*x**3 + 14/15*x**6 - 40/21*x**7. Factor i(o).
-o*(4*o - 1)**3*(5*o + 2)/4
Let b be 2*(2405/(-2))/(-13). Suppose -17 - 53 - 161 - 580*y - b*y**2 + 15*y**3 - 69 = 0. What is y?
-2, -2/3, 15
Let b(t) = 30*t**2 + 1349*t + 1227. Let h(q) = -7*q + 3. Let n(s) = -b(s) + 4*h(s). Factor n(m).
-3*(m + 45)*(10*m + 9)
Let x be 4/12 - 21/3*(-6)/(-126). Let n(m) be the third derivative of 1/12*m**5 + x + 0*m**4 + 0*m - 10/3*m**3 - m**2. Find q, given that n(q) = 0.
-2, 2
Let s(z) be the third derivative of 3*z**7/70 + z**6/20 - 47*z**5/20 + 41*z**4/4 - 20*z**3 - 11*z**2 - 3*z. Solve s(c) = 0.
-5, 1, 4/3, 2
Let j(o) be the second derivative of -1/60*o**5 + 3*o + 0 + 1/900*o**6 + 0*o**2 + 5/6*o**3 + 1/10*o**4. Let n(r) be the second derivative of j(r). Factor n(m).
2*(m - 3)*(m - 2)/5
Factor 0*l**2 + 2/5*l**3 + 0 - 8/5*l.
2*l*(l - 2)*(l + 2)/5
Factor 260 - 654/5*g + 2/5*g**2.
2*(g - 325)*(g - 2)/5
Suppose 278*s - 328*s + 14450 = 0. Let z = s - 284. Factor z*v + 1/3*v**3 - 7/3*v**2 - 3.
(v - 3)**2*(v - 1)/3
Let x(d) be the third derivative of d**6/780 - 31*d**5/390 - 305*d**4/156 - 7*d**3 + 1950*d**2. Factor x(m).
2*(m - 39)*(m + 1)*(m + 7)/13
Let k(f) be the second derivative of f**10/4480 + 5*f**9/12096 - f**8/13440 + f**4/12 - 2*f**2 - 24*f. Let j(v) be the third derivative of k(v). Factor j(h).
h**3*(h + 1)*(27*h - 2)/4
Let b(z) = z**2 + 52*z + 116. Let f(g) = -g**2 - 47*g - 118. Let x(o) = 4*b(o) + 5*f(o). Factor x(p).
-(p + 6)*(p + 21)
Let w = 104104 + -104104. Factor 1/6*y**3 + w*y + 0 + 8/3*y**2.
y**2*(y + 16)/6
Let n(g) = -2*g**3 - 15*g**2 + g + 56. Let c be n(-7). Suppose -31*s + 166 - 11 = c. Find i, given that 3*i**3 + 21/2*i + 3 + 12*i**2 - 3*i**4 - 3/2*i**s = 0.
-1, 2
Factor 32*d**3 - 275 + 2347*d**4 - 2333*d**4 + 24*d**2 + 275 + 2*d**5.
2*d**2*(d + 2)**2*(d + 3)
Let w(k) be the first derivative of -k**9/3024 - k**8/240 - 10*k**3/3 - k**2/2 - 275. Let h(f) be the third derivative of w(f). Solve h(d) = 0.
-7, 0
Let k(z) be the third derivative of 2*z**7/245 + 8*z**6/105 - 61*z**5/105 + 13*z**4/21 + 32*z**3/21 + 526*z**2. Let k(w) = 0. Calculate w.
-8, -1/3, 1, 2
Let u(o) = 13*o**3 + 377*o**2 + 11532*o + 5. Let h(r) = -11*r**3 - 376*r**2 - 11532*r - 4. Let b(a) = 5*h(a) + 4*u(a). Factor b(j).
-3*j*(j + 62)**2
Let i be (-112)/(-18) - (-4)/(-18). Determine k, given that -2*k**3 + k**2 + 103 - k + i*k - 101 = 0.
-1, -1/2, 2
Factor 12*o - 4 - 20 - 24*o + 34 - 7*o**2 - 57*o.
-(o + 10)*(7*o - 1)
Let b(y) be the second derivative of 1/9*y**3 + 0*y**2 + 1/72*y**4 - 185*y + 0. Determine v, given that b(v) = 0.
-4, 0
Let n be (2418/20553)/((-4)/(-357)). Determine m, given that -87*m + 60 - n*m**4 - 228*m**3 - 729/2*m**2 = 0.
-20, -1, 2/7
Suppose -28*u = 479 - 535. Factor 4/7 - 2/7*k**u - 2/7*k.
-2*(k - 1)*(k + 2)/7
Let c be (-8)/(-36) + (-784)/(-36). Find y such that 18*y + 18 + 18*y + 19*y + c*y**2 - 13*y - 4*y + 2*y**3 = 0.
-9, -1
Suppose -5*a - 94 = -2*v, -a - 3*a - 2*v = 86. Let z be 24/10 - (-8)/a. Let -2*b**2 + b**2 + 0*b**2 + 2*b - z + 1 = 0. Calculate b.
1
Let u(c) be the first derivative of 19 + 0*c + 9/8*c**4 + 3*c**2 - 28/3*c**3. Suppose u(f) = 0. Calculate f.
0, 2/9, 6
Let t(d) be the second derivative of -5*d**4/12 + 125*d**3/6 - 115*d**2 + 6*d + 95. Factor t(b).
-5*(b - 23)*(b - 2)
Let r be (-2)/(-11) + (-160)/(-88). Determine p, given that -86*p**2 - 84*p**2 + 52*p - 47 - 3 + 168*p**r = 0.
1, 25
Let u be (-120)/(-6) - (-57 - -75). Let o = 983/3 - 325. Factor 2*p**u - 16/3*p + o.
2*(p - 2)*(3*p - 2)/3
Suppose d - 427 = -5*x, -2*x - 2*d + 429 = 3*x. Suppose -x = -f - 75. Factor 27*t**3 - 55*t**3 - 5*t**2 + 23*t**3 + f*t.
-5*t*(t - 1)*(t + 2)
Suppose 3*a = -15, -j = -4*a - 20 - 34. Suppose -17*f + j = -34. Suppose -16/11*v**3 - f*v**2 - 18/11 - 48/11*v - 2/11*v**4 = 0. What is v?
-3, -1
Suppose 20 = 2*q + 14. Factor -29*x + 14 + 4 + 22*x**2 + 9*x - 2*x**q - 18*x.
-2*(x - 9)*(x - 1)**2
Suppose 5*t - 103 = 4*j, 0 = -5*j + 11 + 4. What is u in -26*u**4 + 53*u**4 - 4*u - 4*u**2 + 3*u**3 + u**5 - t*u**4 = 0?
-2, -1, 0, 1
Let u = 1726387 - 15537355/9. Solve -64/9*r - 4/9*r**5 - 32/3*r**3 + 0 - 32/9*r**4 - u*r**2 = 0.
-2, 0
Determine f so that -2/9*f**5 + 0 + 20/9*f + 14/9*f**4 - 2*f**3 - 14/9*f**2 = 0.
-1, 0, 1, 2, 5
Suppose g = 12*g. Suppose g = k + 10*t - 5*t + 16, -3*t - 24 = -3*k. Determine m so that 6/7*m + 2*m**2 + 2/7*m**k + 0 + 10/7*m**3 = 0.
-3, -1, 0
Let y(u) be the second derivative of -4/3*u**3 - 6*u**2 - 1/12*u**4 + 0 - 49*u. Suppose y(t) = 0. What is t?
-6, -2
Let h(u) be the first derivative of 0*u - 32 - 4/5*u**2 - 3/10*u**4 - 4/5*u**3 - 1/25*u**5. Factor h(o).
-o*(o + 2)**3/5
Let 56/5*p**3 + 112/3*p - 358/5*p**2 + 120 + 2/15*p**4 = 0. What is p?
-90, -1, 2, 5
Factor 2/7*w**2 - 1354/7*w - 1356/7.
2*(w - 678)*(w + 1)/7
Factor 584*f - 21*f**3 - 3*f**4 + 574*f + 4*f**3 - 1077*f - 4*f**3 - 3*f**2 - 54.
-3*(f - 1)**2*(f + 3)*(f + 6)
Let b = -19/6547 + 78697/45829. Let c(g) = -3*g - 1. Let i be c(-2). Solve 8/7*p**4 - 32/7*p**2 + 52/7*p**3 + 0 - b*p**i - 16/7*p = 0.
-2, -1/3, 0, 1, 2
Let q(b) = 2*b + 42. Let d be q(-20). Determine u, given that -16*u + 197*u**d + 17 + 7 - 195*u**2 = 0.
2, 6
Let i(r) be the first derivative of 92 + 1/4*r**4 + 0*r + r**3 - 5*r**2. Factor i(p).
p*(p - 2)*(p + 5)
Suppose -269 - 11*s**2 + 6*s**2 - 295 + 3*s**2 - 561*s + 5*s**2 = 0. What is s?
-1, 188
Suppose 19*j + 39*j = -6*j + 192. Solve 0*s - 1/4*s**j + 0*s**2 + 3/8*s**5 - 1/8*s**4 + 0 = 0.
-2/3, 0, 1
Let l(r) be the third derivative of -r**6/240 - r**5/10 - 35*r**4/48 - 1946*r**2. Factor l(f).
-f*(f + 5)*(f + 7)/2
Let z(o) = o**3 - 4*o**2 + 8*o. Let s(k) be the first derivative of 0*k + 1/2*k**2 + 3. Let p(g) = -15*s(g) + 3*z(g). Factor p(y).
3*y*(y - 3)*(y - 1)
Let u = 20714 - 20710. Let q(l) be the third derivative of 0*l**3 - 1/40*l**6 + 0 + 1/70*l**7 - 1/4*l**5 - 3/8*l**u + 0*l - 26*l**2. Let q(h) = 0. What is h?
-1, 0, 3
Let d(y) be the second derivative of -y**4/48 - 7*y**3/6 + 15*y**2/2 + 44*y + 11. Solve d(l) = 0 for l.
-30, 2
Let s be (-8 - -10)*(0 + -613). Let f = -8567/7 - s. Let 12/7*a - f + 3/7*a**2 = 0. What is a?
-5, 1
Let a(p) be the third derivative of p**8/224 + 19*p**7/140 - 5*p**6/8 - 79*p**5/2 + 203*p**4/2 + 784*p**3 - 3*p**2 - 177. What is n in a(n) = 0?
-14, -1, 2, 8
Let t(p) be the third derivative of 6*p**7/25 - 83*p**6/150 - 19*p**5/75 + 7*p**4/6 + 8*p**3/15 - 1245*p**2. Find z such that t(z) = 0.
-4/7, -1/9, 1
What is v in 650*v - 4320 - 4172*v + 1049*v + 1381*v - 3*v**2 = 0?
-360, -4
Let i = -82 + 77. Let b be (-5)/(-2)*(5/(-5) - i). Find q such that -7*q**3 - 1446*q + 1461*q + 2*q**3 + b = 0.
-1, 2
Determine h so that 5*h**2 - 4*h**2 - 137*h - 169*h - 1297 - 507*h - 333 = 0.
-2, 815
Let m be (-2170)/(-3100) - (-26)/20. Find u such that -2/7*u**2 - m + 16/7*u = 0.
1, 7
Factor 10221/4*u**2 - 7420*u + 1/8*u**4 + 4900 - 283/8*u**3.
(u - 140)**2*(u - 2)*(u - 1)/8
Suppose 13*m = 18*m + 2*b - 285, -2*m + 11