(z) = -z**3 - 9*z**2 + 10*z + 2. Suppose 4*l + 307 = -0*l + b, -5*l - 5*b - 390 = 0. Let j = l + 83. What is the lowest common multiple of v(-10) and j?
6
Suppose 0 = 20*x - 295 - 793 - 312. Calculate the smallest common multiple of x and 16.
560
Suppose -5*j + 170 = 3*i + 21, -3*j = 5*i - 243. What is the lowest common multiple of i and 16?
48
Let o = 13651/4 + -539227/158. Calculate the common denominator of -24/553 and o.
2212
Suppose -20*r + 18*r + 12 = 0. Let c be -428*(-5)/80 + r/(-8). Let m = -14 + c. What is the smallest common multiple of 15 and m?
60
Let a(h) = 2*h**3 + 113*h**2 + 157*h + 184. What is the smallest common multiple of 1352 and a(-55)?
8112
Let t = 1 + 3. Suppose -t*c = -4*h + 11 + 1, c = 3*h + 3. Find the common denominator of (((-565)/3)/5)/(0 - c) and 35/9.
18
Suppose 3*o + 20 = -3*l + 38, -2*l + 32 = -3*o. What is the least common multiple of l and 474?
2370
Let r = 557/22 - 7025/264. What is the common denominator of r and -56/213?
1704
Suppose -12*m = -15*m + 234. Calculate the smallest common multiple of (-532)/152*(-180)/21 and m.
390
Let y = -124477/12 + 10362. Find the common denominator of -137/534 and y.
1068
Suppose -q = -3*o + 31, 5*q = 2*o - 6*o - 250. Let v = -26 - q. Calculate the smallest common multiple of v and 5/(-22 + 44583/2024).
920
Let l = 2488 - 1408. What is the smallest common multiple of 9 and l?
1080
Let t be -3 - 57/38*20/(-6). Let q(f) = f**2 + 6*f - 8. What is the least common multiple of (-20)/(-5) - t - (0 - 16) and q(-8)?
72
Let r = 6324 + -6300. Suppose 3*d = 3*y + 10 + 14, -3*y = -5*d + 32. Let x = d - -23. What is the least common multiple of r and x?
216
Suppose 2*d - 26 = -q, -5*d = q - 9 + 1. What is the least common multiple of q and 16?
304
Calculate the common denominator of -53/748 and (-3)/(-2992) + ((-3)/2*2 - -3).
2992
Let m be 109/(-121) - (-1 + -7 - -7). Let s = m - 520/363. Calculate the common denominator of -67/75 and s.
75
Suppose 6*k + 6 = 3*k. Let m = 459 - 457. Calculate the lowest common multiple of m and k/(2 - 80/36).
18
What is the common denominator of -77/92 and ((-11580)/(-1150) - 5 - 5) + (-2)/4?
460
Let j = -1012/73 - -13/438. Suppose 2*p - 129 = -s, -4*p + 315 + 213 = 4*s. Let o = -16199/120 + s. Find the common denominator of j and o.
120
Let d(s) = 2443*s**2 - 9*s - 3. Calculate the smallest common multiple of d(-2) and 11.
107657
Let m be 191823/(-33)*2/(-6). Let c = 1938 - m. Find the common denominator of c and (-2)/(-7) + (-12844)/1638.
99
Let a(l) = 64*l**2 + 4*l - 2. Let u(m) = m - 21. Let g be u(22). Let n be a(g). Calculate the common denominator of -37/20 and (53/n)/((-11)/(-33)).
220
Let t be (-1)/(210/(-759479)) - -1. Let b = 3612 - t. Find the common denominator of -95/108 and b.
540
Suppose d - 53 = 2*q, 55*d = 54*d - q + 41. Let m = -580/39 - 396/13. Let s = m + d. What is the common denominator of s and 5/33?
33
Let i(s) = 16 - 23 - 2*s**2 + 13 + s**2 + 8*s. Let t be i(8). Find the common denominator of t/27 + (-1654)/792*2 and -21/34.
374
Let r be (-4)/(-15822)*1964104899078/(-8) - 1. Let d = r - -62068793. Let g = d - -10/293. What is the common denominator of -143/24 and g?
72
Suppose 4*n = -b + 193, 250 = -5*n + 10*n + 10*b. What is the least common multiple of 216 and n?
432
Suppose 2*n + 23*m - 26 = 20*m, -3*n + 32 = m. Let b(u) = 320*u + 4. Let z be b(2). Calculate the lowest common multiple of (-2)/5 - z/(-10) and n.
320
Let f = 36232 - 1739227/48. What is the common denominator of f and -19/1158?
9264
Suppose 4 = l - 16. Let x be (74/4)/(5/l). Let y = x - 48. Calculate the least common multiple of 20 and y.
260
Let i = 1/4181 + -200695/29267. Let k = -27 + 31. Find the common denominator of i and (-112)/10 + (1 - k - -7).
35
Suppose -15*u + 6*u = 27. Find the common denominator of u*(6 + 716/(-120)) and -1 + 0 + (-213)/(-27).
90
Suppose -s - 100 + 749 = 0. Find the common denominator of s/(-1848) - 1/(-7) and -52/9.
72
Let h = -1572 - -1576. Suppose -a + 3*m + 157 = 0, 3*a - 431 = -4*m + 5*m. Calculate the lowest common multiple of h and a.
284
Let j(x) = -x**3 - 9*x**2 - 9*x + 13. Let b be j(-11). What is the common denominator of 3 - (-6)/((-432)/b) and 59/105?
420
Let m(j) = -j**2 - 14*j + 20. Let k be m(-15). Suppose g = -k*g. Calculate the least common multiple of 8 and -1*(g + -1) + 0/(-2).
8
Let t = 214906/25443 + -6/2827. What is the common denominator of -40/387 and t?
387
Let t(j) = 13*j + 44. Let u be t(-7). Let k = u - -53. Calculate the least common multiple of k and 15.
30
Let z = 1841/86 - 1698805/79464. Calculate the common denominator of -95/1176 and z.
12936
Let t = 5870453/198 + -29648. What is the common denominator of t and 37/660?
1980
Let j = -3 + -7. Find the common denominator of 9/(-7 - -10) + 22/(-28) and 5796/(-2240) + 6/j.
112
Let l = 15 - -11. Suppose -5*n + 3*g = -73, 2*n + g - l = -g. Let s(a) = -2*a + 172. Calculate the lowest common multiple of s(25) and n.
854
Let i(z) = -2*z + 10. Let s be i(3). Suppose 4*w = -k - s, -k = -5*k - 5*w + 39. Calculate the lowest common multiple of k and 416.
416
Let o = 127452 + -1133330/9. Let u = -1537 + o. Let w = 955/18 + u. What is the common denominator of 41/2 and w?
2
Suppose 5*z + 1562 = x + 392, -3*z = 4*x - 4680. Calculate the lowest common multiple of x and 60.
2340
Let a(z) = -16*z**2 - 72*z - 66. Calculate the least common multiple of 14774 and a(-2).
103418
Let z(a) = 11*a - 15. Let s be z(27). Calculate the common denominator of (s/(-8))/3*(-490)/(-735) and 74/(-11)*2/(-4).
66
Let x = 7/3000689 + 344982761/41355495798. Calculate the common denominator of x and 15/4.
27564
Let p = -5490879/305800 - -2492/139. Calculate the common denominator of p and 119/40.
2200
Let c(j) = -j**3 + 15*j**2 + 25*j - 90. What is the least common multiple of c(16) and 10?
270
Let k(v) = -5*v**2 + 923*v + 0*v**3 - 25 - 921*v - 4*v**3 - 20. What is the least common multiple of 16 and k(-5)?
320
Let o = -8783314/48399 + 13254/73. Find the common denominator of o and 7/12.
2652
Suppose -4 = -k + 5*b + 42, 4*k = -4*b + 64. Let p be (-1 + 1)/(2 + 0). Suppose 4*d + 4 - 76 = p. What is the smallest common multiple of d and k?
126
Let t(b) = 16*b**2 - 57*b + 908. What is the least common multiple of t(14) and 4328?
12984
Let b(y) = 873*y + 20962. What is the lowest common multiple of b(-24) and 33434?
167170
Suppose 2*w = -3*w + 3*r + 864, -w + 3*r = -168. What is the common denominator of ((-2)/138)/(20/w) and -97/12?
1380
Suppose -686 = 7*p - 41*p + 6114. Calculate the smallest common multiple of p and 40.
200
Let q = 182/51 - 3887/408. Find the common denominator of q and 13/498.
1992
Suppose 131*p - 104*p - 972 = 0. Calculate the smallest common multiple of 21 and p.
252
Let x(t) = -3*t**3 - t**2 + 2*t + 2. Let j = 78 + -138. Let q = -38 - j. Calculate the least common multiple of x(-2) and q.
198
Let p = 338 + -194. Suppose -5*t = -3*j - p, -j + 92 = 5*t - 60. What is the least common multiple of t and 26?
390
Let g = 1666 + 797. What is the least common multiple of g and 21?
17241
Suppose 0 = 9*q - 12*q + 27. Let g be (3522/q)/(4 - (-239)/(-60)). Let n = g + -563399/24. Find the common denominator of 5/6 and n.
24
Let z(a) = -a**2 + 2*a - 3. Let y be z(3). Find the common denominator of y/(-15) - 419/(-40) and ((-8)/(-168))/(12/(-1946)).
72
Let o(a) = 3*a**2 - 14*a - 37. Let l be o(-5). Let h = l - 73. Calculate the lowest common multiple of 55 and h.
385
Let l(x) = 32*x - 730. Calculate the smallest common multiple of l(23) and 1572.
1572
Let h = 524 - 524. Suppose -4*i + 0*n = 5*n - 33, 10 = -5*i + 4*n. Suppose h*a - 2*a - 8 = -5*x, -i*a + 4 = x. What is the smallest common multiple of 1 and x?
2
Let s(g) = -108*g + 219. Suppose -z + 6 + 0 = -2*o, 5 = z - o. Suppose 5*u + 3*p - 92 = 108, z*p + 91 = 3*u. What is the smallest common multiple of u and s(2)?
111
Suppose f = 4*r + 6, -57*f - r = -54*f - 18. What is the lowest common multiple of f and 228?
228
Suppose -5*p - 4*o - 23 = 0, 0*p - 3*p - 5*o - 19 = 0. Let j(x) = -x + 6. Let i be j(p). Calculate the least common multiple of 1 and 12*12/i + (-3)/1.
13
Let u be 30/8028*(53565873518786/150 + -3). Let y = -1334476173 + u. Let k = y - 155/446. Find the common denominator of k and -45/4.
180
Suppose -5*q + 3*l + 