. Let j be (-732)/(-42) - c/7. Find the common denominator of -3/2 and (5/2 - 4) + j.
2
Let k = -1 - -1. Suppose -j + 15 + 3 = 4*u, -4*u + 3*j + 26 = k. Let h = 15 - u. What is the least common multiple of 22 and h?
110
Let k = 3259 + -45697/14. What is the common denominator of 2*(-194)/40 + 2 and k?
70
Let n be -2 + 23 + 1 - -2. Suppose 55 = -5*w + 5*v, 4*w + 84 = -0*w - 4*v. Let l = w + n. Calculate the lowest common multiple of l and 7.
56
Suppose 4*b + 28 + 52 = 0. Let d = b + 23. Suppose -g + 24 = -4*l, 0*g + 19 = g - d*l. Calculate the least common multiple of g and 4.
4
Let d be 6/(-18)*1002/1474. Let m = d - -3/67. What is the common denominator of 10/9 and m?
99
Suppose -2*q + s + 83 = 4*s, 5*s - 85 = -2*q. Let n(v) = 7*v + 4. Let a be n(-2). What is the common denominator of -27/8 and (a/(-6))/(q/(-250))?
24
Let y(t) = -26154*t**3 + t**2 + t. Let z be y(-1). Let d be (-2615402)/(-100) + 3 + -4 + 2. Let c = d - z. Calculate the common denominator of -91/12 and c.
300
Let b(g) = -g**2 + 8*g + 9. Let f be b(9). Let o = f + 7. Let w = 12 - o. What is the smallest common multiple of 7 and w?
35
Let o be 8/6*(2 + -5). Let s(f) = f**3 + 5*f**2 + 5*f - 2. Let k be s(o). What is the least common multiple of 2 and 88/6 - k/(-9)?
14
Let h(g) = -g**3 - 6*g**2 - 6*g - 10. Let a be h(-5). Calculate the common denominator of 31/8 and -1*(-2)/a - 6885/(-1650).
88
Let q(j) = -j**3 - 8*j**2 - 10*j - 7. Let b be (-138)/(-33) + -4 + (-62)/(-22). What is the smallest common multiple of q(-7) and b/1 + (-1 - (-1 + 1))?
14
Calculate the smallest common multiple of 4/26 - (-512)/52 and 55.
110
Let n = -211 - -233. Calculate the least common multiple of 18 and n.
198
Let z be (622/(-4))/(77/(-88)). Let l = z - 8171/42. Find the common denominator of 101/8 and l.
24
Let q = -602156562691/4845 + 124284123. Let a = q + -26/255. Calculate the common denominator of 3/7 and a.
133
Let v = 6375 + -784135/123. Calculate the common denominator of v and 19/9.
369
What is the common denominator of (0 - 2)/(-54*(-24)/1305) and -93/16?
144
What is the least common multiple of 225 and (-50094)/(-286) - 2/13?
1575
Let d = 99963/26 + -3848. Find the common denominator of d and -109/14.
182
Suppose 0 = -5*y + 8 + 27. Suppose h = 6*h + 3*w - 8, -2*h = -5*w + 3. Calculate the least common multiple of y and h.
7
Let t = -9 - 3. Let b be 6/(-8) - (-87)/t. What is the lowest common multiple of 6 and 10 + b/2 + 1?
42
What is the common denominator of 1/3 - 5112/(-648) and 1/((-1)/(-41)) + -2?
9
Let i = -1066 - -7447/7. Find the common denominator of 48/97 and i.
679
Let a = -17793/7 - -2547. What is the common denominator of -51/13 and a?
91
Let f be (-3 + 5)/(1/20). What is the common denominator of (-14)/112 - (-231)/(-24) and (-4)/(-4) + (-22)/f?
20
Let h = 8 + -3. Calculate the least common multiple of (3 - 10/4)*(0 + 12) and h.
30
Let j be ((-39)/(-15))/(2/10). Suppose -5*g + j = -27. Calculate the lowest common multiple of g and (12 - (-3 + 2)) + 1.
56
Let g be (-8)/(-44) - (-92)/(-22). Let p = g + 18. Calculate the lowest common multiple of 2 and p.
14
Suppose -4*f + 11 + 5 = -3*l, -3*f - 5*l = -12. What is the lowest common multiple of 198 and f?
396
Let c be (-2 - -1)*0/(-1). Suppose 3*t = -c*t + 24. Let b(g) = g**2 - 6*g - 6. What is the least common multiple of 14 and b(t)?
70
Let r(k) = 4*k + 12. Let l be r(7). Suppose 11*m - 6*m - l = 0. What is the smallest common multiple of m and 5?
40
Let t = 293567/176 - 1668. Find the common denominator of t and -47/176.
176
Let a = -70711/12040 + -3/1505. Calculate the common denominator of -27/160 and a.
160
Calculate the smallest common multiple of -7*(252/49 + -6) and 12.
12
What is the lowest common multiple of 12 and (-528 - (-6)/(-3))*78/(-65)?
636
Suppose 1052 = -9*l + 11*l. What is the common denominator of 49/6 and l/(-11) + (-14)/77?
6
Let b(n) = -n**3 - 2*n**2 + 4*n + 4. Calculate the least common multiple of 13*1 - (6 + 7 - 7) and b(-3).
7
Let i = 2975 - 4331. Let p be 0 - (-1 + 74375/55). Let y = p - i. Calculate the common denominator of y and -36.
11
Suppose 18*u - 5984 = -70*u. What is the smallest common multiple of u and 340?
340
Suppose -y + 18 = 17*y. Calculate the lowest common multiple of 28 and y.
28
Suppose 13*d + 180 = 18*d. What is the least common multiple of d and 40?
360
What is the common denominator of (-5858)/609*14/(-48) and 29/54?
108
Let w(m) = m**3 + 6*m**2 + 3*m - 1. Let n be w(-5). Calculate the common denominator of -2 + -2 + 6/8 and 34/6*n/(-12).
4
Let j = -2/8769 + 815549/140304. Let v = j + 785/48. Let s = -33 + 6. Calculate the common denominator of v and s.
6
Find the common denominator of 294/20 - (-16 + 20) and 45/121.
1210
Let j be 3/((-135)/(-6)) + (-4346)/(-30). What is the common denominator of -14/9 and (j/(-100) - -2)*(-16)/6?
45
Calculate the common denominator of 25/72 and (158/(-56))/((-30)/21).
360
Let n = -256 - -445. Let w = -1231/30 + 121/3. What is the common denominator of w and 1 - (-3 - n/24)?
40
Suppose -592 = -9*t - 196. What is the common denominator of t and -44/15?
15
Let o be -2 + 0 - (-2 + -2). Suppose -5*y + 67 = 4*w - o, -29 = -2*y - 3*w. Let p = -2 + y. Calculate the smallest common multiple of p and 4.
44
Find the common denominator of (-3)/18*8534/187 + 10 and (-1)/2 + 67/(-54).
297
Let g = -4 + 6. Suppose 3*v - 10 = -g*v. Calculate the least common multiple of v and 12.
12
Let d = 510 - 2051/4. Let i(v) = 3*v - 1. Let x be i(1). Find the common denominator of d and (-967)/(-180) - x/9.
20
Let p be 2/((2 + -5)/(-6)). Suppose -2*q + 14 = -2*h, 2*q = 4*q - p*h - 4. Calculate the smallest common multiple of q and 32.
96
Let q(i) = i**2 + 2*i - 4. What is the smallest common multiple of q(4) and 32?
160
Let b = -3381/19 - -178. What is the common denominator of b and -8 - (-1 + -3) - -27?
19
Let f = 201324 + -33218561/165. Find the common denominator of -14/45 and f.
495
Find the common denominator of (-9636)/(-1881)*2/8 and -92/15.
285
Let d = -7/10426 + -41261/62556. Calculate the common denominator of -145/18 and d.
468
Let r = 70042/2968528251 + -5/91743. Let a = 305417713/323570 - r. Let z = -945 + a. What is the common denominator of 51/8 and z?
40
Let b be (4463/220)/(((-1290)/39)/(-10)). Let s be 1/4 + (-2525)/9460. Let u = b - s. Calculate the common denominator of 35/6 and u.
60
Let n = -448 + 463. What is the smallest common multiple of 90 and n?
90
Let v = 2053 + -12181/6. Let n = 1577/7 + -4813/21. Find the common denominator of v and n.
42
Let a = 77 - 45. Suppose -a - 20 = -o. Suppose -24 = -2*b - 2*p, -4*b - 5*p + 3*p = -o. What is the least common multiple of b and 16?
112
Let s(j) = -j**3 + 15*j**2 - 16*j - 1. Let t be s(14). What is the common denominator of (-2)/(-11) - 234/(-2112)*t and 17/22?
352
Let q = 14 - 14. Suppose f + 3*f - 28 = -l, -3*l + 4*f = -36. Suppose q - l = -n. What is the lowest common multiple of 4 and n?
16
Let x = -123605 + 482163/4. Let r be (-4)/((4/1522)/2). Let m = r - x. Calculate the common denominator of 79/18 and m.
36
Let o = 4443379/140 + -31739. Calculate the common denominator of 19/16 and o.
560
Let i(j) = j**3 + 5*j**2 - 6*j + 4. Suppose 0 = -3*r + 4*h + 9 + 2, -r - 3*h = -21. Let x = -15 + r. What is the smallest common multiple of 1 and i(x)?
4
Suppose 33 + 63 = 2*l. Calculate the least common multiple of l and 24.
48
Let d be (-43)/(-5) - 3/5. Let s(c) = -c**3 + 5*c**2 + 3*c - 5. What is the lowest common multiple of s(5) and d/(-2 + (-20)/(-8))?
80
What is the common denominator of 2/(-56)*1148/126 and -50/9?
126
Let j = -403/74 - -7259/1924. What is the common denominator of j and 69/65?
260
Let w = -6 + 41. Let i = w - 11. Calculate the lowest common multiple of i and 1.
24
Calculate the common denominator of (-1012)/(-48) + (-9)/(-12) and 35/(-12)*((-126)/(-120))/1.
48
Let x = -13 + 25. What is the lowest common multiple of (-12)/4 + -2 + 21 and x?
48
Suppose 3*q = 17*q. Suppose -r - f + 5 = q, r + 3*f = 3*r - 35. Calculate the lowest common multiple of r and 1.
10
Let x(o) = o**2 - o - 4. Let t be x(2). Let k(c) = -2*c**3 + c**2 + 2*c. Calculate the least common multiple of k(t) and 64.
64
Suppose 0 = 48*b - 47*b - 9. What is the lowest common multiple of b and 225?
225
Let q(y) = -y**2 + 