540. What is the common denominator of d and (-2 - 0) + (-204)/(-64)?
2160
What is the common denominator of -41/421 and -4 - 5380/(-1125) - (-6)/(-27)?
10525
Let p(o) = o**3 + 19*o**2 + 32*o - 132. What is the smallest common multiple of p(-6) and 1?
144
Find the common denominator of 7390/(-9030) + ((-20)/96)/((-2)/8) and -93/14.
602
Let u = 30631 - 735151/24. Find the common denominator of (-435)/54 - (-2 + 2) and u.
72
Suppose -3*a + 7*a = 5*o + 24, 2*o = a - 9. Calculate the lowest common multiple of a and 193.
193
Let s = -30 - -28. Let z be -4 - ((-18)/3 - s). Suppose 5 - 24 = -3*q + d, q - 5*d - 11 = z. Calculate the least common multiple of q and 12.
12
Let q(j) = -11*j. Suppose 636*y - 377390 = -855*y - 292*y - 1120*y. Calculate the least common multiple of q(-2) and y.
1430
Suppose -1273 = 22*q - 240*q + 19437. Calculate the least common multiple of 460 and q.
8740
Let x(j) = 598*j + 236. Calculate the smallest common multiple of 12 and x(1).
1668
Let w = -5527/264 - -272/11. Let r be 189/12*(4/3 + -1). Let g = -41/4 - r. Calculate the common denominator of g and w.
24
Suppose -14*d + 913 - 73 = 0. Let j = 71 - d. Calculate the lowest common multiple of j and 8.
88
Suppose 390 - 998 = -4*l. What is the common denominator of -79/152 and (5 - 1844/l) + 5?
152
Let o = 24687/7 - 3530. What is the common denominator of -35 and o?
7
Let r = -484 - -748. Suppose 8*u - r = -0*u. What is the lowest common multiple of u and 69?
759
Let g = -147 - -153. Let k = -2653 + 2755. Calculate the lowest common multiple of g and k.
102
Let s = -460846/45 + 10239. Let v = -4942 + 14828/3. Find the common denominator of s and v.
45
Let z = -64 + 604. Suppose 0 = n + 4*n + z. Calculate the common denominator of 67/6 and (-6)/(-4)*(-258)/n.
12
Suppose -83 - 25 = 6*r. What is the smallest common multiple of (-5)/((-60)/r) + 78/4 and 20?
180
Let y = -306910 - -31612326/103. Let j = y - 566802/515. Let d = -88029/80 - j. Find the common denominator of d and 103/28.
112
Let i(z) = 157*z**2 - 7*z + 8. Let h be i(1). Calculate the common denominator of 43/4 and -1 - h/(-29) - (33 - 28).
116
Let w(k) = 3*k**3 + 31*k**2 - 9*k + 3. Let c be w(-10). Suppose 22*f - c = -61. Calculate the lowest common multiple of f and 150.
150
Let f(h) = 5*h**2 + 91*h + 1188. What is the least common multiple of f(-19) and 16?
1264
Suppose 23*m = 33*m - 220. What is the common denominator of 41/16 and m/(12/(-16) + 287/84)?
16
Let t(v) = 30*v**2 - 40*v + 5. Calculate the lowest common multiple of 261 and t(2).
1305
Find the common denominator of (2/28)/((-84)/(-27244)) and -11/295.
1770
Let y = -15571 - -15966. Calculate the lowest common multiple of y and 44.
17380
Let f = -425 - -393. Calculate the lowest common multiple of 3 and (0 - f) + (-76)/(-19).
36
Calculate the common denominator of -77/4 and ((-39330)/(-16800))/(-57)*30/(-4).
224
Let n be ((-62978)/(-9))/((-8)/(-6)). Let p = -2620 - -7847. Let a = p - n. Calculate the common denominator of -59/10 and a.
30
What is the smallest common multiple of 5797 and (((-93)/(-6))/(36/(-72)))/((-3)/408)?
46376
Suppose 5*w + 47 = -4*c - 114, 0 = -2*c - 4*w - 82. What is the least common multiple of (-91)/c + 5/(-15) and 1/4 + 110/8?
14
Let m(c) = c**3 + 10*c**2 - 12*c - 19. Let x be m(-11). What is the smallest common multiple of 3*(-550)/(-45) + x/12 and 8?
72
Let s(l) = -l**2 + 63*l - 54. Calculate the smallest common multiple of s(60) and 294.
882
Suppose 14*u = 134*u + 30*u - 900. What is the smallest common multiple of u and 3150?
3150
Suppose -i + 44 = 7*j, -49*j = 3*i - 45*j - 98. What is the lowest common multiple of 84 and i?
420
Calculate the common denominator of -65/42 and (4495/(-735) - -6)/(-11 - 4).
4410
What is the lowest common multiple of ((-1155)/(-275))/(21/990) and 1584?
1584
Suppose -2*i = 3*l - 7*l - 26, 0 = 4*i + 4*l - 4. Suppose -115 = -i*g + a + 385, -g - 2*a + 100 = 0. Calculate the smallest common multiple of g and 22.
1100
Suppose 7*g - 7 - 7 = 0. Suppose -5*x + 4*l - 19 = 0, -x + 8 = -3*x + g*l. What is the common denominator of 34/5 and x?
5
Find the common denominator of -26 and ((-69905)/4994)/(-31) + 3/(-6).
227
Let g = -27694 + 27750. What is the smallest common multiple of 5019 and g?
40152
Calculate the common denominator of (7/(105/(-219)))/(56 - 50) and 107/4830.
4830
Suppose 0*o + 12808 = 2*o. Suppose -4*d + d = -3*z - 3852, 3*d + o = -5*z. Calculate the common denominator of -47/10 and z/180 - (84/(-30))/7.
90
Let n = 12076 + -11828. Calculate the least common multiple of n and 10.
1240
Suppose -60*r + 949 + 2951 = 0. Let x = r - -3. What is the least common multiple of x and 3?
204
What is the lowest common multiple of 852 and (497/(-2))/(31 + -23 + 194/(-24))?
5964
Let j = 38 + -38. Calculate the lowest common multiple of ((-20)/12 - -2)*(j + 24) and 94.
376
Let r be ((-64)/(-60) - 1)*11838/4. Let m = -1047/5 + r. Find the common denominator of (-71)/(-4)*(-12)/102 and m.
170
Suppose 26*p + 11380 = 28*p. Let b = 62545/11 - p. What is the common denominator of ((-2)/28)/((-2)/(-72)) and b?
77
Let d = 24 + 28. Let h = -117 + 168. Suppose -17*a = -51 - h. What is the least common multiple of d and a?
156
Let o = -1702 - -1819. What is the smallest common multiple of o and 6?
234
Let h(b) = b**2 - 13*b + 13. Suppose g + z = -z + 2, 0 = -5*g - 4*z + 40. Let x be h(g). Let n = 5 + x. What is the least common multiple of 9 and n?
18
Let b = 135151/264 + -4079/8. Find the common denominator of 31/4794 and b.
52734
Let n = -114739/184185 + 3/4093. What is the common denominator of (12045/440)/(-1 - (-158)/8) and n?
450
Let l = 46174 - 24472227/530. Find the common denominator of 23/10 and l.
530
Let q = -2243 - -1249. Let j = -1191 + q. Let p = 26261/12 + j. What is the common denominator of -33/16 and p?
48
Let r = 349 - 199. Calculate the lowest common multiple of r and 90.
450
Let a = -93741/50 - -1877. Calculate the common denominator of a and (19/6 - 3)/(30/(-4)).
450
Calculate the common denominator of (0 - 14) + -8 + 855/40 and -109/348.
696
What is the least common multiple of 11/((-231)/12) - 214/(-7) and 32?
480
Calculate the lowest common multiple of ((-2172)/(-905))/(6/3160) and 474.
3792
Let u = -56057/40 - -2799/2. What is the common denominator of u and -41/60?
120
Let j(r) = 6*r + 22. Let b be j(-3). Suppose -177 = b*f + 4*z - 793, -438 = -3*f + 3*z. Calculate the least common multiple of 20 and f.
300
Suppose -5*k - d = -86, -2*d + 17 - 7 = k. Let z be -2 + 5410/75 + (-2)/15. Let g = z - 62. Calculate the least common multiple of g and k.
72
Suppose 0 = 6*c - 7*c + 5*v + 160, -4*c = 3*v - 755. Let p = -120 + c. What is the lowest common multiple of 20 and p?
260
Let a(i) = i**3 + 26*i**2 - 26*i - 45. Let c be a(-27). Calculate the common denominator of -53/132 and 71/1*3/c.
264
Suppose 0 = 5*s - 14*s + 63. Suppose -s*o + 154 = 4*o. What is the lowest common multiple of o and 14?
14
Find the common denominator of 66/42*((-2)/(-276) + 0) and 17/828.
5796
Let i = 80 - 76. Suppose 0 = b - 2*r - 38, -4*b + b = -i*r - 110. Suppose c = 0, 4*d + 5*c - 59 = 29. What is the lowest common multiple of b and d?
374
Let j = 1236 + -55643/45. Let r = 165333/55 - 3006. What is the common denominator of r and j?
495
Let p(i) = 2*i + 2. Let v = 61150 - 60066. What is the lowest common multiple of v and p(8)?
9756
What is the common denominator of 3294/810*(-3 - (-51)/12) and 41/440?
1320
Let s(j) = j + 4. Let p be s(-7). What is the common denominator of -7*(-4)/7 + (-184)/18 and (p + 34/9)*12?
9
Let r = 2029 + -2020. What is the least common multiple of r and 35?
315
Let q = 1/4530 + -129149/199320. Find the common denominator of q and 115/48.
528
Let i = 134350 - 66820. Let v = 8103481/120 - i. Calculate the common denominator of -127/60 and v.
120
What is the least common multiple of (-1140)/3990 + 6612/14 and 708?
1416
Let z = 101 - 97. Suppose 3*r + 2*s = 8, 0*r - r + z*s + 26 = 0. What is the common denominator of (4/96)/(r/52) and -97/18?
36
What is the least common multiple of (10440/(-216))/((-10)/108) and 232?
2088
Let t = -730468/55 + 13281. What is the common denominator of t and -29/1001?
5005
Let n(f) = -4*f**3 + 35*f**2 + 8*f + 3. Let j be n(9). Calculate the common denominator of 67