 least common multiple of n and 30.
210
Find the common denominator of 36/108*(-237)/(-18) and (-27)/288*(-136)/18.
72
Calculate the common denominator of 17/297 and 20 + (-8355)/275 + 10.
1485
Calculate the common denominator of 1/12 and ((-741)/190 + -5)/(-10*5).
1500
Suppose 10*k - 9 - 311 = 0. Suppose -6*a + 20 = -2*a. Suppose 0*i + a*t = 4*i - 28, -2*i - 4*t = -14. Calculate the smallest common multiple of i and k.
224
Let f = -503837137/1771 + 284493. Calculate the common denominator of f and -73/385.
8855
Let h = 42 - 40. Suppose -5*m + 0*m - 166 = -2*n, 0 = 2*m - 4. What is the smallest common multiple of n and h?
88
Suppose -5*w + p - 3 = -16, -2*p - 8 = -w. What is the common denominator of 46/21 and (3/9)/(w/(636/(-14)))?
21
Find the common denominator of (-514)/(-519) - (-99 + 95) - 5 and -97/2.
1038
Suppose 5485*p - 1512 - 4530 - 26868 = 0. Suppose -8 = -4*h, 3*h - 646 = -5*l - 245. What is the lowest common multiple of p and l?
474
Suppose 5*b = i - 6, -6 = -5*b + 8*b. Let w(s) = -3*s + 42. Calculate the smallest common multiple of w(i) and 18.
54
Let f = 127217 - 60046381/472. What is the common denominator of f and 50/7?
3304
Suppose 2*h = -l + 22021, 5*l + 20*h = 22*h + 110117. Let k = 792971/36 - l. Calculate the common denominator of k and 173/180.
180
Let b = 33116416/719 - 46059. Let q = b - -31117/28760. Calculate the common denominator of 72/240*17/3 and q.
40
Let m = 50814579/9737 - 36531/7. Let g = m + 126713/30602. Calculate the common denominator of ((-18)/(-176))/((-6)/(-184)) and g.
22
Let z(m) = -3*m**2 - 6*m - 3. Let w be z(5). Let a = w + 188. Suppose -a = -3*i - 2. Calculate the lowest common multiple of i and 6.
78
Let w = 29501/85 + -347. Calculate the common denominator of w and (28 - 25)/((-10)/27).
170
Let n be (-92)/6 + (-17)/(-51). Calculate the smallest common multiple of 3 and 5*n/(-50)*446/3.
669
Let i = -5275 + 5285. What is the least common multiple of 5985 and i?
11970
Let k = 8 - 6. Let a be k/8 + 1869/28. Suppose 5*x - a = -12. Calculate the smallest common multiple of 6 and x.
66
Suppose 2*y - 3*y = 4*k, 2*y + k = 35. What is the smallest common multiple of y and -9*(-7322)/1890 - 2/(-15)?
140
Let y(n) = 2*n**2 + 12*n + 98. Suppose 0 = -29*j + 20*j - 90. Calculate the least common multiple of 14 and y(j).
1246
Suppose 0 = -26*s + 29*s - 6. Suppose -13 = -4*l - 2*t - 3, -l = -s*t. Suppose 14 = 5*v + l*v. Calculate the lowest common multiple of v and 54.
54
What is the least common multiple of 10 and (2/(-3))/(6*5/(-4455)) - -4?
1030
Let d(n) = 8*n**2 - 47*n - 1401. What is the smallest common multiple of d(-18) and 1164?
8148
Let x be 3/(-9) + 57769144/354. Let a = x - 163181. Let y = a - 5219/1298. What is the common denominator of y and -107/20?
220
Let x = -1344 - -1356. Calculate the least common multiple of x and 462.
924
Let y be 23 + -1 + -4 + -2. Suppose -y*l - 47 + 367 = 0. Suppose -5*k + c + 333 = -244, 0 = 4*k - 2*c - 458. What is the lowest common multiple of k and l?
580
Let c be 1173/46 - (-2)/(-4). Suppose -537 = 22*m - c*m. Suppose 0 = 5*t - m - 61. What is the lowest common multiple of 10 and t?
240
Suppose 0 = 7*h - 612 + 150. What is the common denominator of (h/18)/((-48)/14) and -87/20?
360
Let m = -28 + 33. Suppose -18 = -3*i - v - 0*v, -m*v + 20 = i. Let t = 50 - 47. What is the smallest common multiple of t and i?
15
Let o be ((-46)/(-88251))/(2/(12/22)). Let z = -1927417/253242 - o. Calculate the common denominator of z and (59/3)/((-44)/(-6)).
198
Let k = -131 + 513/4. Suppose 0 = -4*f + 86*c - 82*c - 2096, -c + 4 = 0. Find the common denominator of k and (-182)/(-10)*f/(-1872).
36
Let y = 7856860435/2817473598 - -26/1799153. Let z = -38/87 + y. Calculate the common denominator of z and 79/45.
270
Suppose 0 = 10*w - 14*w - 1272. Calculate the common denominator of -131/192 and (-30)/(-80)*w/9.
192
Let q be 14 + -7 + 1*(-2 + 3). Let b(d) = -d**2 + 10*d - 3. Let g be b(q). Suppose 96 = -5*y + g*y. Calculate the lowest common multiple of 33 and y.
132
Suppose 315 = b + 311. Suppose b*r = -k + 36, -8*k + 105 = -3*k + 5*r. Calculate the lowest common multiple of k and 12.
48
Calculate the common denominator of -40/63 and ((-107586)/18900 - (-3)/2) + 4.
1575
Let p be (7/(28/24))/2. Find the common denominator of 355/(-90) + 0/1 and ((-646)/374)/(p/(-4)).
198
Let h = 7920 - 7504. Calculate the smallest common multiple of 16 and h.
416
Suppose -4*k - 6 - 6 = 0. Let z be (k/9)/(2/(-102)). Suppose 3*r - 13 = z. What is the least common multiple of 22 and r?
110
Let w = -7775 + 7955. Calculate the least common multiple of w and 194.
17460
Calculate the lowest common multiple of 7 and 364/(-6)*(-202 + 178).
1456
Suppose 3*z - 6*h - 18 = -8*h, 3*h - 21 = -3*z. Calculate the smallest common multiple of z and 2164.
2164
Let k = 329727/266 + -1240. What is the common denominator of 5/406 and k?
7714
Suppose 378 + 401 = 5*j + 4*q, 5*j - 775 = -5*q. Let c = j - 129. What is the least common multiple of 15 and c?
30
Find the common denominator of -47/703 and 12951/798 - (-1648)/(-103).
9842
Let x = 463555453/1240 + -373835. What is the common denominator of x and 129/1240?
1240
Suppose -34 = -2*k - 5*b, -96 = -4*k - 4*b + 8*b. Let f = -16 + k. What is the smallest common multiple of f and 27?
54
Suppose -13*d = -5*q - 3241, 4*d = -q + 905 + 110. Calculate the lowest common multiple of d and 1800.
12600
Let m be (-3)/(-1) - (-25)/(-10)*-9. Let n = m - 39. Calculate the common denominator of n and (5/3)/(7/(-27)).
14
Calculate the common denominator of 2 - (1554/(-276) + 9) and 47/460.
460
Let n be (-1 - -161)/8 - (-10)/2. Calculate the common denominator of 140/45*2/(40/n) and 7/16.
144
Let p(a) = 22*a + 0*a - 19*a - 6. Let u = 2 - -3. What is the lowest common multiple of p(u) and 20?
180
Let f = 33 - -255. Let p = f + -226. Calculate the least common multiple of p and 6.
186
Let a be -4*(243/(-6))/((-183)/5972). Let n = a + 5287. Let s = 2832/671 - n. Find the common denominator of s and 39/7.
77
Suppose 2*p + b + 6 = 0, -5*p - 14 = -b + 3*b. Let r be -74*(p - 871/(-434)). Let w = r - 14449/7812. Find the common denominator of 97/16 and w.
144
Find the common denominator of -11/208 and (222/(-60606))/(24/(-7)).
1872
Let u(x) = x**3 - x**2 + 11*x + 14. Let j be u(-6). What is the common denominator of -145/66 and 2/(-4 - j/73)?
66
Suppose p + 152 = -3*c, 0 = -7*c + 4*c - 5*p - 136. Let y = -41 - c. Suppose 3*a = -2*r - y, -r + 4*a + 24 = 2. Calculate the least common multiple of 10 and r.
10
Let d be (144 + 2)*7/(-14). Let w = d + 260. What is the smallest common multiple of w and 51?
561
Suppose -41*i - 1767 = 9344. Let f = -161 - i. What is the lowest common multiple of 110 and f?
110
Let f = 95737948/19 + -2709862375928/537795. Let x = f + 89/333. Calculate the common denominator of -20/9 and x.
765
Suppose -4*d = 3*n - 12, 2*n - 5 - 3 = 0. Suppose -4 + d = 2*p, -f - 16 = -2*p. What is the lowest common multiple of (0 - 0) + (16 - f) and 45?
180
Let t = -163 - -171. Calculate the common denominator of t/30*1820/78 and 41/72.
72
Suppose 4*x - 15 = 5*x. Let q(r) = -24 - 23*r**2 + 27*r**2 + 5*r + 9*r**2 + r**2 + r**3 - 22*r. Calculate the lowest common multiple of q(x) and 242.
726
Let x be 6/((-761050)/761378 + 1). Let m = 13928 - x. Let w = -6/5647 + -705803/67764. Calculate the common denominator of w and m.
492
Let s = -6693 - -8363. What is the least common multiple of s and 70?
11690
Suppose 0*l - 2*l + 8 = 0. Suppose -h + 4*q = l*h - 55, 4*q + 13 = -h. Let g = -1221 - -1223. What is the lowest common multiple of g and h?
14
What is the least common multiple of 36 and 76/38*(6 - -999)?
12060
Let l = -70729 + 7638827/108. Find the common denominator of (370/24)/(-1) - -11 and l.
108
Let j = -701/6 - -208/3. What is the common denominator of 1415/(-2070) - 1/24*-8 and j?
414
Let m(s) = -s + 4. Let g(q) be the second derivative of 21*q**3/2 + 231*q**2/2 - 260*q. Calculate the lowest common multiple of m(2) and g(-3).
42
Suppose -24 = 4*i + 4*k, 3*i - 4*k - 13 = -3. Let r = 8/607 + -73607/12140. Find the common denominator of 10750/1580 - (i - -9) and r.
1580
Let w = 17/192 - 461/192. Let s = 2362753/9120472 + -9/26513. Calculate the common denominator of w and s.
688
Let q be 0 + 1