0
Suppose -2*b + 2*l + 68 = 0, -4*l - 13 - 21 = -b. Suppose 3*z - x = b, -54 = -8*z + 4*z - 3*x. What is the smallest common multiple of 2 and z?
12
Find the common denominator of -29/665 and 82/12 + ((-7)/8)/((-42)/(-336)).
3990
Let i(s) = 29*s + 31. Let b(w) = w - 5. Let v be b(9). Suppose 4*r - 18 = -p, v*r = -5*p - r + 90. Calculate the least common multiple of p and i(-1).
18
Let b(n) = -n**2 - 24. Let g be b(0). Let p = 26 + g. What is the common denominator of -8/3 and ((-1071)/324)/(p/6)?
12
Let w be 2/14 - (-284)/(-28). Let n(t) = 127*t**2 - 6*t + 1. Let f be n(w). Let m = -255333/20 + f. What is the common denominator of m and -39/4?
20
Let w(q) = -2*q**2 - 59*q + 527. What is the least common multiple of 0 + 12/(-4) + 61 and w(7)?
464
Suppose -6*y + 7 = 19. Suppose -5*q - 15 = -30. What is the smallest common multiple of 9 and 1 - (y - 1)/q?
18
Let d = 216/37 - 3697/703. Find the common denominator of (-303)/(-84) - 2/(-8) and d.
133
Suppose 0 = -2*n - 5*x + 1748, -47*n - 2*x + 2644 = -44*n. What is the smallest common multiple of n and 3?
2652
Suppose -6*y + 9*y - 51 = 0. Suppose 28 + y = 5*x. Suppose 3*d = 5*t - 45, -3*d + 27 = -0*t + 3*t. What is the smallest common multiple of x and t?
9
Let l = 6874 - 41233/6. What is the common denominator of l and -137/2682?
2682
Suppose 4*n + 7 = -1, 3*p = 5*n + 1246. Suppose -11*o = -p + 82. What is the least common multiple of o and (-3*6)/(15/(-10))?
60
Suppose 57*m - 420 - 237 = 27. Calculate the least common multiple of m and 4170.
8340
What is the common denominator of (119/(-663) - 6/39) + (-423)/(-504) and 53/120?
840
Let z = 5313/20 + -5199/20. Find the common denominator of z and 0 - (-2 - (-2602)/1284).
3210
Suppose 0 = -3*y - 189 + 21. Suppose -2*a + 3*a = 14. What is the smallest common multiple of y/(-12)*(6 + (-18)/6) and a?
14
Suppose m - 4*l - 14 = l, -2*l - 14 = -m. What is the lowest common multiple of m and (2/5)/((-1)/(-10))?
28
Let p = -46675 + 49223. What is the least common multiple of p and 1274?
2548
Let t = 1890 + -1778. Let q be 7*(-2 - -2 - 2). What is the smallest common multiple of (12/q)/((-8)/t) and 16?
48
Let l = -747877465 + 2132946489499/2852. Let k = 10/713 + l. What is the common denominator of 2/6 + (-67)/(-69) and k?
92
Calculate the common denominator of 7/150 and -14*(-11)/(-72) + (-110)/165.
900
Let u = -19 + 274. Let j = u - 175. Let i(v) = 2*v + 20. Calculate the least common multiple of j and i(0).
80
Let i = -3237 + 3346. Calculate the least common multiple of 6 and i.
654
Let l = -24 - -18. Let s be (8/20 + 31/(-15))*l. Calculate the common denominator of 34/9 and ((-13)/s)/((-6)/(-16)*-4).
45
Suppose -11 + 83 = -4*r. Suppose 2*x = -2*b + 20, -3*b + 26 = -0*x + 2*x. Calculate the smallest common multiple of 22 + (-4)/(24/r) + -5 and b.
60
Let w = 4538361/62 + -73201. Find the common denominator of ((-104)/6*1287/2288)/((-24)/14) and w.
496
Let q = 5962 + -5951. Calculate the least common multiple of 20 and q.
220
Suppose 0 = -a - a + 32. Let m(l) = 2*l**3 - 16*l**2 + 11*l + 17. Let b be m(7). Let p = b - -5. Calculate the lowest common multiple of a and p.
16
Let i(x) = -x**3 - 2*x**2 + 6*x - 17. Let j(f) = f**2 - 2*f + 2. Let p(a) = -i(a) - 6*j(a). What is the lowest common multiple of 36 and p(5)?
180
Find the common denominator of 55/6 and (-273)/364*(-8)/(-717)*(-3)/36.
1434
Suppose -2*b = -8*b - 317040. Let w be -5181*(b/17604 - -3). Let u = 3/163 - w. Calculate the common denominator of u and -70/3.
9
Let k = -19697 + 433295/22. Let u = -46318 + 2779187/60. Find the common denominator of k and u.
660
Let y = -28382 + 12317871/434. What is the common denominator of 23/98 and y?
3038
Suppose 2*o - 785 = -5*h, 660 = 4*o - 4*h - 980. Suppose -4*l - 365 = -o. Calculate the smallest common multiple of l and 12.
60
Let w = -151315/7 - -21624. What is the common denominator of w and -58/7847?
7847
Let i(y) = 58*y + 7. Let p be i(2). Let o = 125 - p. Let m(b) = -b**3 + 6*b**2 + 3*b. What is the least common multiple of m(6) and o?
18
Let l = 6625 + -132539/20. Calculate the common denominator of l and -10 + 2188/2880*12.
60
Suppose 57*p + 56*p = 108*p + 150. What is the least common multiple of p and 20?
60
Suppose -459065*j - 15980 = -459150*j. What is the smallest common multiple of j and 1 - 2 - (-3 + -18)?
940
Calculate the common denominator of -43/700 and 122/168 + 693/594.
700
Let q(t) = -2*t**3 - 4*t**2 - 13*t - 59. Suppose 4*a + 3*z + 2 = -5, -2*a - 4*z = -4. Let c = 28 + -1. What is the lowest common multiple of c and q(a)?
513
Let g = 1005 + -989. Suppose 4*i = 10*i - 156. What is the least common multiple of i and g?
208
Suppose 7*o + 9*o - 64 = 0. Find the common denominator of 172/32*o - 7 and -31/68.
68
What is the smallest common multiple of 1258 and 4/(-26) - (-7 + 180/(-156))?
5032
Calculate the common denominator of -73/36 and -6 + 270/42 + 13843/(-3276) + 4.
468
Let x(q) = -q**3 + 7*q**2 - q + 10. Let m be x(7). Suppose z = -2*c + 4, -3*c + m*z + 6 = z. Calculate the least common multiple of 11 and ((-6)/c)/((-9)/60).
220
Suppose -2*n - 1764 = -44*n. Suppose 504 = -35*g + n*g. Calculate the least common multiple of g and 36.
72
Let l = -5729/5664 + -7/354. Find the common denominator of 19/900 and l.
7200
Let b = -89/2581030 - -2/1297. Let w = b - 56757/27860. Find the common denominator of -99/56 and w.
56
Let h = -1237/465 + -1/155. Suppose 0 = -5*m - 2*d - 17, m - 5*d = -3*m - 40. Find the common denominator of h and (m/(200/(-1308)))/((-144)/20).
24
What is the common denominator of 25/4 and 4/5 + (-31020)/45650?
332
Let s(x) be the first derivative of x**3/3 + 5*x**2 - 33*x + 116. What is the lowest common multiple of s(-13) and 54?
54
Let x be (((-500)/5)/5)/(-2). Suppose 0 = -p - p + x. Suppose p + 15 = h. What is the lowest common multiple of 6 and h?
60
Let h(w) = w + 4. Let r be h(-4). Let y(l) = -l**2 - 28*l + 54. Let t be y(-28). Suppose r*q = 6*q - t. What is the smallest common multiple of q and 4?
36
Let s = 71 - 38. Suppose 5*j - 266 + 158 = -m, 3*m = 4*j + 248. What is the least common multiple of s and m?
264
Suppose 2*s - 2 = -0. Let v be (-6)/((-2 - s) + 4). Calculate the common denominator of 5 + v + 69/18 and -53/11.
66
Suppose 16*j - 25536 = 8*j. Suppose -2*m + j = 5*m. What is the lowest common multiple of m and 15?
2280
Let r(c) = 2*c**3 - c**2 - 4*c + 3. Let k be r(2). Suppose 0 = -6*o - 23 - k. What is the common denominator of (2/o)/(16/1620) and -35/8?
8
Let s be -3 + (19 + 0 - 4). Suppose 12*u = 4*j + 13*u - s, -4*u = 4*j. Calculate the least common multiple of j and 48.
48
Let b = -99 - -115. What is the common denominator of 2 + -3*5/((-135)/b) and 1/19?
171
Calculate the least common multiple of (201 - 204) + 12/(-42) + 6598/14 and 60.
2340
Let w(v) = v**2 - 1. Let x = -141341 + 141390. Calculate the lowest common multiple of w(-3) and x.
392
Let d be (-1)/2*0/1. Suppose 3*n - 2*h - 9134 = d, 0 = 6*n - n - 5*h - 15230. Find the common denominator of (-2)/(-12) - n/(-756) and -19/6.
42
What is the common denominator of ((-3627)/2210130)/(1/(-2)) and -15/8?
75560
Let d(h) = -h - 3. Let t be d(-5). Suppose -16 = t*i - 12. Calculate the common denominator of -29/15 and -14*3/(-54) + 2/i.
45
Suppose -2*g = -11*g - 1854. Let j = g + 278. What is the smallest common multiple of j and 20?
360
Suppose 5*g - 658 = -5*x - 108, 324 = 3*g + 5*x. Calculate the common denominator of -1 - g/(-8) - 3 and 9/77.
616
Let w be (-3202)/(-14) + 20/70 + 0. Let u = w - 209. Let y(b) = 3*b - 6. What is the lowest common multiple of u and y(4)?
60
Suppose 12 = -4*l + 2*l. Let x = l - -30. Suppose g - 4 + 28 = 3*u, -3*u - 3*g = -x. What is the lowest common multiple of u and 2?
8
Let z = 54423/22 - 2475. Let o be 50/(-10)*(-16)/(-10). Calculate the common denominator of ((-5)/(-6))/(4/o) and z.
66
Suppose 4*i = 115 - 967. Calculate the common denominator of i/(-18) + (-6)/(-9) - -2 and -87/10.
10
Calculate the common denominator of 287/345*112/784 and -41/690.
690
Suppose -3*p + 3*d + 8 - 11 = 0, -3*p - 4*d = 24. Calculate the common denominator of p + 3 + (-37)/32 and 25/8.
32
Suppose 4*t = 3*m - 30, -1 = -3*m - 3*t + 29. Suppose 30 = -5*l + m*l. Suppose -176 = -5*j - 3*j. What is the least common multiple of j and l