4/(-2160). Let 4/9*l**5 - 12*l + 80/9*l**2 + 40/9 + i*l**3 - 8/3*l**4 = 0. Calculate l.
-2, 1, 5
Suppose -5*j = y + 312, 2*j + 3*y + 29 = -101. Let u = j + 312/5. Determine r so that 2/5 - 1/5*r**3 - u*r**2 + 1/5*r = 0.
-2, -1, 1
Factor 61/2*y - 1/2*y**3 - 3*y**2 + 33.
-(y - 6)*(y + 1)*(y + 11)/2
Factor -2/3*l**3 - 448/3 - 50/3*l**2 - 316/3*l.
-2*(l + 2)*(l + 7)*(l + 16)/3
Let s(m) be the first derivative of 2*m**3/3 - 104*m**2 + 800*m + 2399. Factor s(o).
2*(o - 100)*(o - 4)
Suppose 210*w**3 + 6936*w - w**4 + 8517*w**2 + 4*w**4 - 4641*w**2 = 0. Calculate w.
-34, -2, 0
Let k(d) be the first derivative of 160*d**5 - 1260*d**4 + 486*d**3 - 54*d**2 - 1416. Factor k(j).
2*j*(j - 6)*(20*j - 3)**2
Suppose 0 = -7*x + 4*x + 4*l + 21, 0 = 2*x - 2*l - 14. Let j be 3*x/42 - -7. Suppose 3/2*n**5 + j*n + 3*n**2 + 3/2*n**4 - 9*n**3 - 9/2 = 0. What is n?
-3, -1, 1
Let m = 44779/92 - 11189/23. Factor -7/2*y**2 + m*y**5 + y**4 + 0*y**3 - 3/2 - 17/4*y.
(y - 2)*(y + 1)**3*(y + 3)/4
Suppose -31*g + 29 + 68408*g**2 + 7 - 4 - 68409*g**2 = 0. Calculate g.
-32, 1
Let o(m) be the third derivative of -m**8/784 - m**7/70 - m**6/20 - m**5/70 + 15*m**4/56 + 9*m**3/14 - 583*m**2. Find l, given that o(l) = 0.
-3, -1, 1
Suppose 0*j - 110 = -2*j - 2*q, -5*j + q + 251 = 0. Let z = j + -44. Let -z*c**2 - 16*c**2 + 35*c**2 + 28*c - 24 = 0. Calculate c.
-3, 2/3
Let p(v) be the second derivative of v**5/4 - 5*v**4/2 - 5*v**3/6 + 15*v**2 - 2997*v. Factor p(m).
5*(m - 6)*(m - 1)*(m + 1)
Factor 111*b + 3*b**2 - 437 - 6*b - 2*b**2 + 199*b - 1423.
(b - 6)*(b + 310)
Suppose 104*c - 10 = 99*c. Let f(k) = k**3 - 7*k**2 - 6*k + 1. Let h be f(8). Factor -23*s**2 - 4*s**4 - h*s**2 + 36*s**c - 8*s**3.
-4*s**2*(s + 1)**2
Find j such that -111/2*j + 53/2*j**2 - 10 - 3*j**3 = 0.
-1/6, 4, 5
Factor 0 - 95/4*i + 283/8*i**2 + 3/8*i**3.
i*(i + 95)*(3*i - 2)/8
Find m such that 3/7*m**4 - 255/7*m + 27/7*m**2 + 27/7*m**3 - 450/7 = 0.
-5, -2, 3
Let b be (-6)/10 + 26/10. Factor -29*l + 0*l**b - 17*l - 9*l + 5*l**2.
5*l*(l - 11)
Let x be -9 + 165 + (-2 - -6). Let u = -156 + x. Determine o so that -u*o**3 + 80/11*o + 62/11*o**2 + 6/11*o**4 - 32/11 = 0.
-1, 1/3, 4
Suppose 2*n + n - 24 = 0. Suppose 0 = -f - l - 1 + n, 0 = 4*f + l - 40. Factor -16*d**3 + 18*d**4 - 3*d**2 - f*d**2 - 2*d + 14*d**4.
2*d*(d - 1)*(4*d + 1)**2
Let d(c) be the second derivative of c**6/360 + c**5/60 - 19*c**3/3 - 52*c. Let a(t) be the second derivative of d(t). Factor a(u).
u*(u + 2)
Find f such that 177*f + 1005 - 550*f + 163*f + 9*f**2 + 955 - 4*f**2 = 0.
14, 28
Let d = 172379/2 - 861447/10. Factor -4/5*z**2 + d + 104/5*z.
-4*(z - 28)*(z + 2)/5
Suppose 0 = -26*q + 60 + 70. Let t(o) be the first derivative of -13 - 5/2*o - 10*o**4 + 32*o**q - 30*o**3 - 55/4*o**2. Determine m so that t(m) = 0.
-1/4, 1
Let w(n) = -93*n**3 + 228*n**2 - 87*n - 39. Let q(j) = -23*j**3 + 57*j**2 - 22*j - 10. Let i(t) = 9*q(t) - 2*w(t). Factor i(x).
-3*(x - 2)*(x - 1)*(7*x + 2)
Let f(w) be the first derivative of -w**5/100 - w**4/12 - w**3/10 + 9*w**2/10 + 43*w - 12. Let q(a) be the first derivative of f(a). Factor q(z).
-(z - 1)*(z + 3)**2/5
Suppose 4*k - 5*l = 112, -k + 11 + 8 = l. Let a(i) = -k*i - i**2 + 17*i + 16*i. Let c(b) = -10*b. Let p(t) = -5*a(t) - 6*c(t). What is v in p(v) = 0?
-2, 0
Let y = 2453294153/805 - 3047570. Let x = 856861/805 + y. Factor x - 1452/5*w - 4/5*w**3 + 132/5*w**2.
-4*(w - 11)**3/5
Let y(d) be the third derivative of 11*d + 0*d**3 + 1/6*d**4 + 1/90*d**5 + 5*d**2 + 0. Determine h, given that y(h) = 0.
-6, 0
Let w be -16 - 5*836/(-220). Let 3*x**4 - 1/2*x**5 - 4*x**w + 9/2*x + 0 - 3*x**2 = 0. Calculate x.
-1, 0, 1, 3
Solve -23/6*w + 5/6*w**3 + 7/3 - 16/3*w**2 = 0.
-1, 2/5, 7
Determine t so that -297*t**3 + 2*t**5 + 243*t**2 - 11*t**5 + 57*t**4 + 17*t + 6*t**5 - 17*t = 0.
0, 1, 9
Suppose 28*t = 38*t - 20. Factor -3*i**t - 2*i**2 - i**2 + 3*i**2 + 4*i**2.
i**2
Suppose -4*b + 5*p - 72 = 0, -2*b - 43 + 7 = -4*p. Let f be -1*(-2)/b*(-15 - -9). Solve 0*u + 1/6*u**4 + 0 - f*u**3 + 0*u**2 = 0.
0, 4
Let u(g) = 11*g**2 - 91*g + 379. Let d(o) be the second derivative of 11*o + 15/2*o**3 - 1/2*o**4 + 0 - 189/2*o**2. Let m(y) = -5*d(y) - 3*u(y). Factor m(p).
-3*(p - 8)**2
Let h(u) be the second derivative of 4/15*u**6 - 1/21*u**7 + 13/10*u**5 + 0*u**2 - 2/3*u**4 - 4*u**3 + 104*u + 0. Find p, given that h(p) = 0.
-2, -1, 0, 1, 6
Factor -469/3*v - 1/3*v**2 - 934/3.
-(v + 2)*(v + 467)/3
Let l(k) be the first derivative of k**5/10 - 5*k**4/3 + 3*k**3 - 23*k + 24. Let b(r) be the first derivative of l(r). Factor b(n).
2*n*(n - 9)*(n - 1)
Factor -76202/15*h**2 + 8704/3*h - 2072/5 + 98/15*h**3.
2*(h - 777)*(7*h - 2)**2/15
What is u in -512*u**3 - 281*u**2 + 20*u**4 - 22426751*u + 22427455*u + 1833*u**2 = 0?
-2/5, 0, 4, 22
Solve -7459*d - 8541*d - 410*d**3 + 5076*d**2 + 5*d**4 + 3724*d**2 = 0 for d.
0, 2, 40
Let t = -2373/10 - -712/3. Let l(z) be the second derivative of -t*z**3 + 0 - 3*z + 1/5*z**2 - 1/60*z**4. Find n, given that l(n) = 0.
-2, 1
Suppose -105 = -t + 6*n, t + 2*n = -4*t - 19. Determine d, given that 22/5*d**2 + 56/5 + 2/5*d**t + 64/5*d = 0.
-7, -2
Let s(n) = 13*n**2 - 279*n + 288. Let l(c) = -c**2 - c. Let j(v) = -22*l(v) - 2*s(v). Factor j(y).
-4*(y - 144)*(y - 1)
Find b, given that 14*b - 55/3*b**2 - 1/3*b**4 + 14/3*b**3 + 0 = 0.
0, 1, 6, 7
Let p(k) be the third derivative of 0 + 0*k**3 + 1/30*k**5 + 1/48*k**4 + 1/40*k**6 + 0*k + 1/672*k**8 + 1/105*k**7 + 78*k**2. Factor p(y).
y*(y + 1)**4/2
Suppose -987 = -49*p - 889. Let k(z) be the first derivative of 3/2*z**3 + 0*z + 46 + 0*z**p + 1/8*z**4. Find y, given that k(y) = 0.
-9, 0
Find v, given that 192/7*v**2 - 548/7*v + 360/7 - 4/7*v**3 = 0.
1, 2, 45
Let j(s) be the third derivative of -s**8/2184 - 4*s**7/455 + s**6/39 + s**5/5 - 163*s**4/156 + 2*s**3 + 3*s**2 + 40*s - 1. Let j(b) = 0. What is b?
-13, -3, 1, 2
Let x(y) be the first derivative of 72 + 6/7*y + 33/14*y**2 - 48/35*y**5 - 3/7*y**4 - 1/2*y**6 + 2*y**3. Solve x(l) = 0.
-1, -2/7, 1
Let j(h) be the second derivative of -h**7/315 + h**6/10 + 7*h**5/30 - 19*h**4/18 + 5*h**2 + 4*h - 9. Let v(d) be the first derivative of j(d). Solve v(z) = 0.
-2, 0, 1, 19
What is c in 2/23*c**5 - 30/23*c**3 + 8/23*c + 80/23*c**2 - 4/23*c**4 - 96/23 = 0?
-4, -1, 2, 3
Let r(u) = 4*u**2 + 5*u - 6. Let g(d) = 9*d**2 + 10*d - 12. Suppose 14*b - 5*b - 27 = 0. Let j(w) = b*g(w) - 7*r(w). Solve j(s) = 0.
-6, 1
Let n be 5/(-10) - (-2196)/366. Factor 9/4*c + n - 1/4*c**2.
-(c - 11)*(c + 2)/4
Let u = 78123 - 390606/5. Factor -12/5*d - 12/5*d**2 + 0 + u*d**3.
3*d*(d - 2)*(3*d + 2)/5
Factor 1/2*w**3 - 1/6*w**5 + 0 + 1/3*w**4 - 2/3*w**2 - 2/3*w.
-w*(w - 2)**2*(w + 1)**2/6
Let w(n) = -328*n + 4922. Let y be w(15). Find c such that -3/4*c**3 - 3/4*c**4 + 3/4*c - 3/2 + 9/4*c**y = 0.
-2, -1, 1
Let y(w) be the first derivative of -4*w**3/3 - 400*w**2 + 2436*w + 2291. Let y(v) = 0. Calculate v.
-203, 3
Factor -89*c**3 + 0 + 147*c**4 + 31/3*c**2 + c.
c*(3*c - 1)**2*(49*c + 3)/3
Let u = -192 + 32. Let y be 428/90 - u/360. Factor -y*j**4 - 32*j - 288/5*j**2 + 32/5 - 152/5*j**3.
-2*(j + 2)**3*(13*j - 2)/5
Factor -1/3*r**2 - 26/3*r + 0.
-r*(r + 26)/3
Let w(d) = -d + 2. Let o(b) = -147*b**3 - 2 - 3*b + 148*b**3 + 4*b + 6*b**2. Let s(k) = -o(k) - w(k). Factor s(j).
-j**2*(j + 6)
Let t(y) = -y**3 + 2*y**2 + 3. Let c be t(0). Suppose o = l + 2 + 1, c*l + 6 = 2*o. Factor -3*j**3 + 9*j**3 + 3 + 9*j**2 + l*j**3 + 9*j - 3*j**3.
3*(j + 1)**3
Let m(y) = -24*y**3 - 42*y**2 + 69*y + 3. Let q(b) = b**4 + 2*b**3 - b**2 - b + 1. Let j(a) = -m(a) + 3*q(a). Find k, given that j(k) = 0.
-8, -3, 0, 1
Let j(i) be the first derivative of -2*i**3/45 + 71*i**2/15 + 48*i/5 - 2379. What is u in j(u) = 0?
-1, 72
Suppose -75 + 83 = 4*k. Suppose 2*f = 5*w + f - 25, -k*w + 18 = -2*f. Factor 0 + 12/5*x**2 - 18/5*x**3 - 2/5*x + 8/5*x**w.
2*x*(x - 1)**2*(4*x - 1)/5
Factor -1296*d - 13206*d**2 - 111*d**3 + 4*d**4 + 13818*d**2 + 23*d**3.
4*d*(d - 9)**2*(d - 4)
Determine c, given that -66*c**4 - 22*c**3 - 50*c**4 + 30*c**3 + 56*c**5 = 0.
0, 1/14, 2
Let o(b) be the first derivative of 1/22*b**4 + 0*b + 9/11*b**2 + 65 - 4/11*b**3. Factor o(l).
2*l*(l - 3)**2/11
Let o be ((-693)/55 - -13)/(1*(-4)/(-30)). Let d(q) be the first derivative of 2/5*q**2 + 24/5*q + 17 - 4/15*q**o. Factor d(l).
-4*(l - 3)