2*k + 2*g + 50 = 0, -558*k + 84 = -555*k - 4*g. What is the smallest common multiple of k and 0 - ((-2 - -3) + -31)?
240
Let l(c) = -c**3 - 5*c**2 + c + 10. Let g be l(-5). Suppose 23*n = -g*n + 336. What is the smallest common multiple of n and 6?
12
Let l(p) = 26*p - 158. Let a = -184 + 190. Calculate the lowest common multiple of a and l(8).
150
Suppose -13*g - 12 = -17*g. What is the lowest common multiple of 12 and (g/2)/(-2 - (-130)/64)?
48
Calculate the lowest common multiple of (8 - -1077)*78/91 and 21.
6510
Let h = 449 + -447. Suppose m + 49 = 3*m + 3*j, -102 = -3*m + 5*j. Calculate the lowest common multiple of m and (-22)/(-2)*(h + 7 + -8).
319
Let n(h) = h**3 - 37*h**2 + 338*h - 2. Calculate the lowest common multiple of 656 and n(21).
3280
Let x = 17695/16 - 1112. What is the common denominator of -7/1580 and x?
6320
Suppose 3*v + 332 + 562 = 0. What is the common denominator of 264/594 + v/(-126) and -62/39?
273
Let s = -72/457 - 63623/10968. Calculate the common denominator of s and 449/120 - ((-325)/1300 - (-34)/24).
120
Let g = -56 + 108. Suppose -70 = -2*o + a, 2*o - g = -5*a + 42. Suppose -5 = -3*m + o. Calculate the smallest common multiple of m and 2.
14
Let r = 2869/3 + -933. Let h be (509/56)/(-3*7/42). Let w = 15/14 - h. Find the common denominator of r and w.
12
Let z = -1244/539 - 25/49. Calculate the common denominator of (81/(-30))/9*-14 and z.
55
Suppose 55*w - 220 = 50*w. Calculate the smallest common multiple of 6/(-33) - (10 + (-596)/11) and w.
44
Suppose 572*n + 1080 = 596*n. Calculate the lowest common multiple of n and 1055.
9495
Suppose 14 - 13 = -g. Calculate the common denominator of -53/15 and (-16410)/(-3600) - g/(-8).
30
Suppose -1230 = -s - k, 4*s - 4878 = 57*k - 54*k. What is the smallest common multiple of s and 204?
1224
Let v(b) = b**2 - b. Let y(n) = n**3 - 3*n**2 - 6*n - 98. Let j be y(-8). Let q = -727 - j. Calculate the least common multiple of q and v(-3).
108
Suppose 0 = 4*b + l - 4059, -149*b - 3042 = -152*b - l. Calculate the lowest common multiple of 2825 and b.
25425
Suppose 4*n - 3*m - m = -12, 2*m - 2 = 0. Calculate the common denominator of -36/5 and (-88361)/(-24752) + 36/17 + n.
80
Suppose 2*p + 8 = -4*r + 34, 0 = 5*r + p - 28. Let b(z) = -3*z**3 + 16*z**2 - z - 17. Let m = 27 - 14. What is the lowest common multiple of m and b(r)?
39
Let h = 6036713634917026/2579136446635 - 40723/230496130. Let x = h + -149/6394. Let a = -2348 + x. What is the common denominator of -48/11 and a?
77
Let b be (-3)/10*(234/30 + -3). Let t = b - 517/75. Calculate the common denominator of t and 10/(-35)*(-1666)/(-105).
15
What is the least common multiple of ((-27017)/(-4) - 235/188) + -5 and 2?
6748
Let z = -2534 - -2584. Suppose -5*g + 278 = 3. Calculate the least common multiple of z and g.
550
Calculate the common denominator of 26/((-14040)/(-11142)) - 21 and -32/3815.
22890
Suppose -30 = -5*j, -43*d + 4*j + 1512 = -39*d. What is the lowest common multiple of 24 and d?
384
Let k = 81/4 - -137/4. Let q = k - 365/6. Calculate the common denominator of 32/267 and q.
267
Let c = 108207 - 758792/7. Let t = -193 - c. Let w = -3727/4 - -942. Calculate the common denominator of w and t.
28
Suppose b - 4*k - 30 = 0, 8*k + 12 = 6*k. What is the lowest common multiple of 1503 and b?
3006
Let a(w) = -w**2 + 37*w + 119. Let b be a(39). Let g = 9580/9 + -96127/90. What is the common denominator of (b - (3 - 2))/(7 + 2) and g?
90
Let z(w) = 69*w + 348. What is the lowest common multiple of z(-5) and 840?
840
Calculate the least common multiple of 90 and 102 + (6 - 13)*(-2 + (-40)/(-35)).
540
Let j = 268 - 424. Find the common denominator of 47/26 and -4 + 5 + (-474)/j.
26
Let o be ((-815949)/45 + 4)/(228/2410). Let s = 191617 + o. Find the common denominator of s and ((170/4)/(-1))/4.
456
Suppose 0*f + 5*f = 2*g + 1370, 4*f = -5*g + 1063. Suppose -3*l + o + f = -3*o, l - 4*o = 104. What is the smallest common multiple of 14 and l?
84
Calculate the common denominator of (112996/8712 - 0) + -13 and -59/4.
4356
Let m(s) = 11*s**2 - 37*s - 36. Let u be m(-1). Let c be 1 + -1 - (-10)/(-1). Let h = u - c. What is the least common multiple of h and 14?
154
Let q be (22/33)/((-4)/(-1494)). Let n = -225 + q. What is the least common multiple of n and 18?
72
Let h be (3 + -3 - -5)/((-2)/(-13766)). Let g be ((-2)/15)/(68826/h + -2). Let c = g - 1152. Calculate the common denominator of c and 31/14.
42
Find the common denominator of (-7)/(-50)*(37/4 + (13 - 22))*-30 and (-145)/12 - 4/(-6).
60
Suppose 3689 = -45*n + 18809. Calculate the smallest common multiple of 11 and n.
3696
Let a be (46/414)/(1/9) + -5. Suppose 6*o - 205 = -3*x + o, -4*o = -x + 91. Calculate the lowest common multiple of x and (11/a - -5)/((-4)/(-16)).
225
Let z be ((-2)/(-1) + -4)/(-1). Suppose 3*r = -z*t - 10, -2*r - 3*t - 8 = -r. Calculate the common denominator of -3 + (-10)/(-16) + r and 36/7.
56
Let n(p) = p + 11. Let i be n(-13). Let m = 3/1574 + 70031/6296. What is the common denominator of (-32)/28*(-3 + i) and m?
56
Suppose -5*l - 80 = -5*b, 2*b - 56*l - 34 = -52*l. Suppose -3*x - 11 = o - 5*o, 2*x = -o. Find the common denominator of -47/12 and (6468/(-360) + o/(-6))/b.
300
Let g = -77465/2556 + 4205/142. Find the common denominator of -1 + 1 - (-74)/(-216) and g.
108
Let m(c) = -c**2 + 22*c + 18. Let t be m(9). Suppose 42 + 114 = 5*v + 3*g, -g - t = -4*v. What is the smallest common multiple of 108 and v?
1188
Suppose 0 = -4*w + 5*p + 12, -w - p = 4*p - 28. Calculate the least common multiple of 31 - (25/20 + 6/w) and 11.
319
Let m = 15539821/224 - 69374. Calculate the common denominator of 47/162 and m.
18144
Let b = 4787298305841/6770 + -707134168. Let n be ((-144)/27)/(-4)*18/16248. Let i = n + b. What is the common denominator of i and -85/6?
30
What is the lowest common multiple of 1419 and 1 + 105/45*6?
7095
Calculate the common denominator of 58/21 and (18/(-360))/(9/(-1335)).
84
Let f = -329659555/27384 - 149/9128. Let m(y) = -56*y**3 + y**2 + 6*y - 6. Let r be m(6). Let p = r - f. Calculate the common denominator of p and 14/5.
60
Let g = 33 - 29. Suppose 0 = 5*h + 4*o + 5150, g*h - 2*o + 4084 = 2*o. Find the common denominator of -25/7 and h/99*(-1)/3.
77
Let m = -760426/117 - -59710/9. Let i = -39841/286 + m. Calculate the common denominator of i and 0 + (-206)/16 - -2.
88
Calculate the smallest common multiple of 6/4*((-6)/(-27))/((-20)/(-871440)) and 3.
43572
Calculate the common denominator of -91/6 and (-313)/50080*(-350)/8.
384
Let i(g) = 68*g + 65. Let w be i(-1). What is the least common multiple of 42 and (-8)/w*23/((-184)/(-84))?
84
Suppose -147 = -5*g - 6*v, -v + 96 = -2*g + 5*g. Let x(h) = -4*h. Calculate the lowest common multiple of x(-6) and g.
264
Let l(m) = -1 - 16*m - 4 - 475*m**2 + 474*m**2. Suppose -10*i + 123 = -77. What is the least common multiple of i and l(-15)?
20
Let y = -2333 - -2345. Calculate the lowest common multiple of y and 574.
3444
Let l = 10189/2 - 48673/10. Let i = l - 40171/180. What is the common denominator of -85/96 and i?
288
Let w = -1400843/56 - -25014. What is the common denominator of ((-303)/16)/((-2205)/(-210)) and w?
56
Suppose 3*p = 2*p + 5*d - 178, -2*p + 5*d - 346 = 0. Calculate the common denominator of 91/18 and (-778)/112 + (-96)/p.
72
Suppose -3*n = -5270 - 2524. Suppose -r = 5*a + n, a + 2*r = 5*r - 510. Find the common denominator of -7/8 and a*(-1)/135 + 6/(-15).
72
Let g be (32/20)/(18/(-4095)). Calculate the common denominator of -121/6 and 4498/g - 8/(-2).
42
Let j = -274 + 276. Suppose 8 = j*p + 5*t, -34 = -p - 3*p - t. What is the least common multiple of 12 and p?
36
Suppose 36*z + 9*z + 425 = 1145. What is the least common multiple of z and 1778?
14224
Let f be ((-47727)/12)/(2/8 - 2). Let k = f - 2281. What is the common denominator of k and -37/20?
140
Let i = 190595/37704 + -21/1571. Calculate the common denominator of (71/(-150))/(2/(-5)) and i.
120
Suppose 2*l = -3*l + 65. Calculate the least common multiple of l and (-34)/(-8) + (-33)/(-44).
65
Suppose -3*m - 1 = 4*w - 5*w, -w - 7 = 5*m. Let t(s) = -3*s + 9. Calculate the lowest common multiple of 21 and t(w).
105
Find the common denominator of 858/1208*182/2457 and 137/48.
21744
Find the common denominato