Calculate the lowest common multiple of 11 and (3 - 20/k)*30/4.
110
Let l = 53709 + -644591/12. Suppose 0 = p + 2*p + 2457. Let h = p - -4871/6. Find the common denominator of h and l.
12
Let h(u) = u**2 - 2*u - 10. Let l be h(-8). Suppose 5*w + l - 320 = 0. What is the least common multiple of w and 180?
900
Let w(q) = q**3 - 23*q**2 - 25*q + 65. Let j be w(24). Suppose 38*f - j*f + 42 = 0. Calculate the least common multiple of f and 246.
1722
Let x(c) = 8*c**3 - 2*c**2 + c + 2. Let f be x(2). Let u = -53 + f. What is the least common multiple of u and 49?
49
Let w(x) = 187*x**2 - 198*x + 1019. Calculate the least common multiple of w(5) and 80.
23520
Find the common denominator of -61/988 and (31734/2394 - 14)/((4 + 0)*1).
6916
Suppose -2*r + 12 = -2*k, k - 5*r = -k - 12. Calculate the common denominator of (2/k)/((-120)/306) and -40/7.
140
Let h = -2461/2616 - 11/109. Suppose -4*v = -5385 + 5969. What is the common denominator of h and (-4 - v)*(-6)/252?
168
Suppose -3*s + 9*b = 7*b - 62, 3*s = b + 58. Suppose -7*p + 5*o - 19 = -4*p, -2*p - 3*o + 19 = 0. What is the smallest common multiple of p and s?
18
Let h = 3141 - 153924/49. Calculate the common denominator of (1/2)/(418/(-380)) and h.
539
Let d = 32 + -30. Let j(f) = 14*f - 20. Calculate the smallest common multiple of 18 and j(d).
72
Suppose -50*a - 94 = -694. What is the least common multiple of a and 11?
132
Let g be (-11361)/18 + -9 + 12. Let r = 620 + g. What is the common denominator of ((-13)/(-5))/((-126)/(-35)) and r?
18
Let o(m) = 2*m + 20. Let v be o(-6). Let f be (-93)/(-15) + v/(-40). What is the common denominator of 73/12 and 0/(f - 8) - 34/16?
24
Let a = -20 - -19. Let d be 2974/a*(-3 - 48/(-21)). Let w = d + -2117. Find the common denominator of w and 107/10.
70
Let v be (82/64)/(-6 - 4018/(-628)). Let p = -43/125 - v. What is the common denominator of p and -127/18?
144
Suppose 8*a + 3*a + 330 = 0. Let t be (-8)/144*447669/a. Let s = t - 829. Find the common denominator of -73/8 and s.
120
Suppose -2*l + 12*t + 704 = 8*t, -5*l = t - 1804. Calculate the lowest common multiple of l and 576.
2880
What is the common denominator of 8/45 and 14/(-119) + (-1372)/(-27846)?
585
Find the common denominator of (-1222)/540 - (-3)/(-15) and (-20)/35 - 2*13/(273/456).
54
Let j(v) = 276*v - 8. Let p(s) = 138*s - 4. Let g(m) = -4*j(m) + 9*p(m). Let y be g(3). Let b = -855/2 + y. Calculate the common denominator of 71/2 and b.
2
Let j be ((-143195)/(-180) - 4)*(-6)/(-380). Let y = -357/19 + j. What is the common denominator of -44/15 and y?
120
Let u = -3541/244310 - -12/2221. Find the common denominator of 121/60 and u.
660
Let r = -9 - -16. Let s = r + -3. What is the lowest common multiple of (28 + 1 + -33)*(1 - 5) and s?
16
What is the common denominator of 89/480 and 1551/1632 + (170/17)/(-10)?
8160
Let q = 76 + -46. Suppose q = -4*n - 2*n. What is the common denominator of 19/100 and 2/n - (-1395)/550?
1100
Suppose 16*g - 14*g = -22*g + 816. Calculate the smallest common multiple of 136 and g.
136
Let o = -1/21067 + -1495709/1011216. What is the common denominator of 121/120 and o?
240
Suppose -504 - 342 = -9*r. Calculate the smallest common multiple of 28 and r.
1316
Let t be ((-586)/122 - -5)*(-28778682)/(-454). Let i = t - 12470. Let r = i + -1426269/193858. Find the common denominator of r and 47/7.
14
Suppose 59*f = 2249 + 7309. What is the smallest common multiple of f and 3?
162
Let j(u) = u**3 - 8*u**2 - 6*u - 4. Let v be j(9). Let b = -14081 + 14087. Calculate the smallest common multiple of b and (v + -1)/(-1 - -2).
66
Suppose 4*t = 3*b + 22, 12 = 5*t - 2*b + 6*b. Suppose 308 = -t*v + 60. What is the common denominator of -39/8 and (v/6)/(-4 - -6)?
24
Let h = 311 + -310. Suppose 2*q = 2, 2*q + 32 = 3*x + q. Calculate the lowest common multiple of 8 and h/2*220/x.
40
Suppose 0 = -3*d - 5*x - 2467 + 179, 0 = d - 5*x + 736. Calculate the common denominator of 3/2 and (-6)/d*298 + -2.
126
Let z(n) = 9*n**2 + 3*n**3 - 2*n**3 + 11 + 7*n - n**3 - 1 + n**3. Suppose 0 = 5*d - d + 32. Calculate the least common multiple of z(d) and 15.
90
Let w = -8 + 16. Let f(d) = -57*d**2 + 7*d + 4. Let p be f(2). Calculate the least common multiple of w and ((-4)/(-10))/(1467/p + 7).
56
Suppose 5*a = -3*f - 11, -2*f - 2 - 12 = 5*a. Let m be (3 - 2 - a)*27/(-45). Find the common denominator of m - (41/22 - 12/6) and 11/14.
154
Let g = 333 - 596. Let s = g + 269. What is the smallest common multiple of s and 12?
12
Suppose -4*o + 5*i = -64 - 58, -i = o - 35. Calculate the smallest common multiple of o and 46.
1518
Suppose -2*k - 3*w + 986 = 0, -3*k - 15*w + 1489 = -13*w. Calculate the least common multiple of 1 and k.
499
Let f(o) = -41*o**3 - 3*o**2 - 23*o - 21. Calculate the smallest common multiple of 860 and f(-1).
1720
Let n be 1/(-5) + (-7)/(1260/(-715866)). Let p = -3957 + n. Find the common denominator of p and (-395)/(-21)*2/10.
42
Let y = 18/2131 - 20189/2642440. Calculate the common denominator of y and -101/1488.
7440
Calculate the common denominator of -113/560 and (-369)/(-164) - 549/280.
560
Suppose -144*r + 143*r - 89 = 0. Let q = r - -109. What is the least common multiple of q and 20?
20
Let d = 114623/23140 - 4/1157. Suppose -8*o - 30 = -3*o. Find the common denominator of d and -8 - o - 58/12.
60
Suppose 236*n - 704 = 2836. What is the lowest common multiple of n and 2436?
12180
Let l = -3330 - -3342. What is the smallest common multiple of 74 and l?
444
Let b = -2822 - -42361/15. Suppose 36*g - 37*g = 102. What is the common denominator of g*(-2)/30*5/16 and b?
120
Let f = 63712 + -12423916/195. Calculate the common denominator of -23/78 and f.
390
Let b(z) = -z**3 + 4*z**2 + 8*z - 7. Suppose 180*u - 4759 - 1001 = 0. Calculate the smallest common multiple of u and b(5).
32
Let m(s) = -s**3 + 6*s**2 + 11*s + 23. Let n be m(6). Suppose -3*f + 5*i + 231 = 0, 5*f = -i - n + 446. What is the least common multiple of f and 48?
144
Let w = -429775/32 + 13429. Calculate the common denominator of w and (-65)/160 + 3/(-1) + 6.
32
Find the common denominator of -64/231 and 2/(-2)*-7 - (-628)/(-56).
462
Find the common denominator of ((-30)/600 - 2/(-8)) + 376/820 and 121/162.
6642
Suppose h - 8888 = 2*a, -3*h + 12724 + 13920 = -2*a. Let i = h - 568207/64. Let l = -163/4 + 32. Find the common denominator of i and l.
64
Let i = 2372 + 241. What is the smallest common multiple of i and 18?
15678
Let t(h) = -h**3 - 19*h**2 + 108*h - 31. What is the least common multiple of t(4) and 228?
2508
What is the common denominator of ((-145)/(-20) + -7)/((-34)/(-27) + -2) and 59/248?
2480
Let i be (-34247)/(-36) - (5 + (-42)/8). Let l = -947 + i. Calculate the common denominator of 3/(11 - (2 - 2)) and l.
99
Suppose -59*x + 80*x + 63 = 0. Calculate the common denominator of (-6 + 0)/x*89/8 and -61/140.
140
Let g = -456 + 716. Calculate the lowest common multiple of g and 76.
4940
Let w = 136748607115/3 - 181707173180895563/3986304. Let r = w + 30/10381. Calculate the common denominator of -51/2 and r.
128
Let z(n) = 44*n - 4443. Calculate the smallest common multiple of 57 and z(101).
57
Let u = -38584 + 1620383/42. Calculate the common denominator of u and 76/177.
2478
Let k = 3553/8 - 209703/472. Calculate the common denominator of -55/531 and k.
1062
Let k = 39963/234515 + 1/5518. Calculate the common denominator of 95/16 and k.
1360
Suppose 578*i = 577*i + 4*p + 108, -2*p = 4. What is the smallest common multiple of i and 45?
900
Calculate the common denominator of 147/(-63) + 340/126 and 65/378.
378
What is the common denominator of (-1)/4 + 22/((-38720)/(-370)) and -11/304?
3344
Let w = 36595106/249 - 146968. Calculate the common denominator of -43/48 and w.
3984
Let r be (12/(-7))/(1/77) + -2. Let g = 144 + r. Let w = 18 + -11. What is the least common multiple of w and g?
70
Suppose -535 = -3*l - 307. What is the lowest common multiple of l and 2090?
4180
Suppose -190 = -h - 3*g, 12*h - 558 = 9*h - 3*g. Calculate the smallest common multiple of 184 and h.
184
Let m(v) = -5*v - 11. Let w be m(-3). Suppose n = -w*n + n. Suppose -b - y - 1 + 6 = n, 3*b - 3*y = 9. What is the least common multiple of b and 8?
8
Let z = 100915 - 602159797/5967. What is the common denominator of -23/162