ppose 3*r = 2*a - 91, 3*a + 65 = -2*r - 13. Find the common denominator of ((-8)/96)/(r/(-42)) and -13/60.
660
Let h = 131559191/1160 + -113413. Find the common denominator of -5/406 and h.
8120
Let b = -6/393331 + -20269133038/3539979. Let v = 5732 + b. Find the common denominator of v and 9/2.
18
Let k(l) = l**3 - 6*l**2 + 4*l - 8. Calculate the least common multiple of 0/(-1) + (33 - 12/((-252)/(-147))) and k(6).
208
Let d = 393 - 390. Suppose d*p - 6*p + 3*w + 153 = 0, -10 = -5*w. What is the lowest common multiple of p and 7?
371
Let d be (-2)/2 + (7 - (-20 - -6)). Let b be (12/d - 59/15)*3. What is the common denominator of 49/6 and (166/8)/((-15)/b)?
6
Suppose 2*f = c - 13, -3*f + 7 = -3*c + 31. What is the smallest common multiple of 6 and (c - 40/8)*97*-1?
582
Let m be (1 + (-193)/1)*(-270)/8. Let u = m - 272201/42. Let k = -40/41 - -1093/574. What is the common denominator of k and u?
42
Let v(x) = 2*x + 12. Let s be v(-5). Suppose -19*u - s*u = -1218. What is the least common multiple of u and 22?
638
Let r = -122 + 126. What is the smallest common multiple of 34 and r/6*45/6?
170
Let p = -38207 + 764043/20. Let o = -250749140697/16891070 + 3/1206505. Let y = o + 14839. Calculate the common denominator of y and p.
140
Let s be (-1282)/468*3 - (-5)/(-2). Let d = -2/39 - s. Let a = 212/2079 + -2/297. What is the common denominator of a and d?
21
Let d(y) = y + 5. Let z be 4/20 - ((-26)/(-5) - 0). Let g be d(z). Find the common denominator of -51/11 and g - 1 - (1 - 4/36).
99
Let z(p) = p**2 - 32*p - 31. Let b(w) = w**2 - 31*w - 33. Let d(n) = 2*b(n) - 3*z(n). What is the lowest common multiple of 18 and d(28)?
1170
Let r(h) = -3*h**3 - 7*h**2 - 13*h - 1. Let g(j) = j**3 - j**2 - 2*j. Let n(c) = 14*g(c) - 2*r(c). What is the least common multiple of 8 and n(1)?
40
Let o(x) = x**2 + 4*x + 8. Suppose -j = -3*k + 51, -12*j + 45 = k - 17*j. Calculate the least common multiple of k and o(-6).
60
Calculate the common denominator of (((-565)/(-60))/(3360/(-45)))/(12/14) and 89/12.
768
Let x(z) = 9*z**3 + z**2 + 6*z - 6. Let v be x(2). Let q = 134 + v. Calculate the lowest common multiple of 60 and q.
1080
Let m = -2343 + 2363. What is the smallest common multiple of m and 1720?
1720
Let j = 1117303/1170 + 8300/117. Let y = -1025 + j. What is the common denominator of 158/(-4)*2/(32/2) and y?
80
Let f = -6102 - -6110. What is the least common multiple of f and 32?
32
Let j be (1788/27)/2*(-6190)/(-17). Let u = 12056 - j. Calculate the common denominator of u and -77/30.
1530
Calculate the smallest common multiple of 648 and 7/((-21)/(-642)) - (14 + -16).
648
Suppose -68*i = -34*i - 31*i - 60. Calculate the smallest common multiple of 4710 and i.
9420
Suppose -147*i = -174*i + 972. What is the smallest common multiple of 30 and i?
180
Let b = 3239603 + -25951731/8. Let l = -4371 - b. Find the common denominator of -99/10 and l.
40
Let m(g) = g + 20. Let s be m(-18). Suppose -8*q = -s*q - 1584. What is the common denominator of 53/20 and 319/q - 6/(-8)?
120
Suppose 1853 = p - o, 0 = 36*o - 35*o - 1. Calculate the least common multiple of 180 and p.
18540
Suppose 4*l - s - 690 = 0, 3*l + 3*s = -0*l + 510. Calculate the least common multiple of 656/902 + 174/33 and l.
516
Suppose 4*z + 3*f - 53 = 0, -2*f = -6*z + 4*z + 30. Let n = -5 - -5. Suppose r + n*r = 4. What is the lowest common multiple of z and r?
28
Suppose -5*j - 2*m + 94 = 0, 4*j - 5*m = 2*j + 26. Suppose -40*y + 42*y = j. What is the least common multiple of y and 5?
45
Let a be ((-1162)/(-4))/(7 + 105/(-14)). Let o = 601 + a. Calculate the least common multiple of 104 and o.
520
Let z(s) = -s**3 - 7*s**2 + 7*s - 6. Let a be z(-8). Suppose -5*d = -a + 22. Calculate the smallest common multiple of d/(-8) + 105/6 and 5.
90
Let z(r) = -30*r**2 + 29 + 251*r - 247*r + 29*r**2. Suppose c = -3*c + 28. What is the least common multiple of z(c) and 36?
72
Let z = 6/217313 + -7179081/280768396. What is the common denominator of -29/684 and z?
11628
What is the smallest common multiple of (-14)/(-28 - 0)*(2 + 298) and 885?
8850
Find the common denominator of -1 + ((-13)/(-48) - 1) and (-14 - (-610)/40)*348/(-50).
240
Let o be (45/(-6))/((-15)/20). Calculate the least common multiple of 4/(-6) - 1/(-3)*56 and (-10)/(-4) - 5/o.
18
Let f(y) = -y**2 + 16*y - 13. Suppose -5*q + 4*a - 584 = 0, -5*q - 398 = -a + 198. Let r = q - -210. Calculate the least common multiple of f(1) and r.
90
What is the common denominator of 79/(-620) + 45/180 and 107/372?
1860
Let u(b) = b**2 + 16*b - 140. What is the least common multiple of 812 and u(-38)?
4872
Let i(m) = m**2 - 25. Let b(c) = -c + 29. Let o be b(22). Let q = 81699/10 + -8181. What is the common denominator of i(o) and q?
10
Let w(o) = -o**2 - 9*o - 12. Let z be w(-6). Suppose 4 + 8 = z*r. What is the least common multiple of 9/(-6) + 31/2 and r?
14
Let w = 19 - 11. Let a = -9827 - -9851. What is the lowest common multiple of a and w?
24
Let p = -25695559/938 + 27394. Let h = p - -2/201. Calculate the common denominator of h and -145/6.
42
Let s = -2122909 - -6504593103/3064. What is the common denominator of s and 71/6?
9192
Let k = -169/2 + 1453/18. What is the common denominator of 1 - -6*27/(-94) and k?
423
Let y(m) = -m**2 - 9*m. Let u be ((-124)/(-7))/((-62)/(-217)). Suppose -u - 148 = -6*z. What is the lowest common multiple of y(-5) and z?
140
Suppose -18 - 117 = -9*v. Suppose 18*l = h + v*l - 221, 5*l = -3*h + 705. What is the smallest common multiple of 5 - 0 - (-1 + 2) and h?
460
Let n be (-262128)/28 + 2 + 3. Let u = -9320 - n. Let q = u - 1161/28. What is the common denominator of -71/50 and q?
100
Let s(v) = v**2 - 2. Suppose -6*y + 29632 = 10*y. Let b = y - 1774. What is the least common multiple of b and s(-2)?
78
Let u = 1135997/444296 - -224/1501. Let f = u + -40/37. Find the common denominator of f and (3/28)/((-4)/(-203)).
16
Suppose -5*i = -7 - 13. Suppose 1084 = 3*q + 28. Let k = -204 + q. Calculate the smallest common multiple of k and i.
148
Suppose 5*j + 13828 = -12*j + 88084. Calculate the smallest common multiple of 6240 and j.
43680
Suppose 3*j + 125 = 2*s, -4*s + 0*s - 110 = 2*j. Let g = 61341184/11 + -5572713. Let h = -7511/2 + g. Find the common denominator of h and j.
22
Let b = 733/44 - 63/4. Let z = -782/135 - -16/27. Calculate the common denominator of b and z.
55
Find the common denominator of -18 and (-26)/290*675/378.
406
Suppose -3*d = 0, 3*p + 60 = -d + 3*d. Find the common denominator of 2/(-8) - (4 + (-67)/p) and 2/35.
35
Calculate the common denominator of -59/2572 and 70/(-45)*(-1026)/72 - 3.
7716
Let p(v) = 17*v**2 + 17*v - 42. Calculate the lowest common multiple of 27 and p(-19).
51948
Let u be (-7767)/234 - (-1 + 0). Let w = u - -282/13. What is the common denominator of w and 1*-4*150/(-108)?
18
Let l = 3 + 4. Let p(q) = -q**3 + 7*q**2 + q - 4. What is the smallest common multiple of 1 and p(l)?
3
Let a(c) = 13*c - 385. Let n be 1*(0 + -1) + 52. Suppose 2*x + 2*x + 3*t - n = 0, -2*t - 34 = -3*x. Calculate the smallest common multiple of x and a(31).
36
Suppose 0 = m - 9*m - 1692 + 2252. Calculate the smallest common multiple of 378 and m.
1890
Let t(q) = 37*q + 485. What is the smallest common multiple of t(-5) and 18?
900
Let i = -36128/13959 - 7/2538. Let y = 127038097/28 + -4539119. Let k = y - -2040. Calculate the common denominator of i and k.
308
Let u = 627/40 + -1413/40. Let d = u + 96/5. What is the common denominator of d and 41/144?
720
Let u = 102315487/300 + -341051. Calculate the common denominator of u and ((-1)/(-2))/((-15)/84).
300
Let y = 1502 - 1461. Calculate the least common multiple of y and 82.
82
Let b(t) = -4*t**2 + 4*t - 6*t + 2*t**2 + t**3. What is the smallest common multiple of b(3) and 12 + 2 + (-2 - 3)?
9
Calculate the common denominator of (1770/(-150))/(264/30 - 0) and -31/1232.
1232
Let o = -15485/72 - -1665/8. Let h = -99074750407/34468490 + -2/2462035. Let m = h - -2879. Calculate the common denominator of o and m.
126
Suppose 2*m = 2*a + 3*m - 43217, 0 = -3*a + 5*m + 64845. Let u = 778027/36 - a. Calculate the common denominator of 2 + 32/3 + (-2)/6 and u.
36
Let l be 4/(-2) + 41/(-28). Let y = -1548 + 10817/7. Let b = l - y. Calculate the common denominator of b 