. Let d be w(8). What is the smallest common multiple of 12 and g(d)?
84
Suppose z + 39 = -4*w, 4*z = -3*w - 10 - 29. Let c be (84/10)/(w/(-120)). Let n = 121 - c. What is the smallest common multiple of n and 5?
45
Let a be -1 + 127/133 + 0. Let j = a - 4867/1197. Find the common denominator of j and 1185/(-450) - (-1120)/(-350).
18
Let v be 106/225 - 4/(-18). Let u = v + -4483/300. Calculate the common denominator of (411/42)/(225/525) and u.
12
Let p be 12 + -15 + ((-295)/(-1408) - 0). Let a = 149/128 - p. Find the common denominator of 63/650 and a.
7150
Let x = -331387/6 - -36618188/663. Calculate the common denominator of x and 23/156.
2652
Suppose -1 = -3*s + q, 5*q = -0*q - 5. Let h be (s - (-5)/(75/6))*5. Calculate the common denominator of 485/(-10)*h/(-8) and -131/30.
120
Suppose -2*s + 7 = 3*q - 0, q - 3*s + 16 = 0. Find the common denominator of 84*(q/(-3))/(2/(-3)) and 49/8.
8
Let q = -9588 - -536905/56. Calculate the common denominator of q and -73/40.
280
Let h(q) = 44*q + 52. What is the smallest common multiple of 34 and h(-1)?
136
Suppose -4*q = f - 556, -2*q + 69 = -5*f - 209. Let i = -138 + q. What is the least common multiple of ((-14)/8*i)/((-6)/48) and 4?
28
Let f(x) = 6*x + 70. Let o be f(-11). Suppose 31*p + o*k - 180 = 26*p, -3*p = -2*k - 130. What is the lowest common multiple of p and 64?
320
Let v = 1/201175 - 8851703/603525. Let c = -95436/7 + 477923/35. Let z = -129/7 + c. Find the common denominator of v and z.
15
Suppose -7 = t - 11. Let k be (t/(-5))/((-4)/(-90)). Find the common denominator of 41/3 and (-51)/5*(-6)/k.
15
Let f = 4975/19 + -3010198/11495. Let q = -8281/2420 + f. Calculate the common denominator of (26/(-8))/((-75)/(-135)) and q.
20
Let z(f) = -f**2 - 17*f + 40. What is the least common multiple of 275 and z(-17)?
2200
Let p = 39674591/224 - 177119. Find the common denominator of p and 37/62.
6944
Let p(l) = -l**3 - 7*l**2 - 2*l - 22. Let c be p(-7). Find the common denominator of (-435)/(-126) - (-32)/c and 131/6.
42
Let i = 9239 - 9194. What is the least common multiple of 865 and i?
7785
Find the common denominator of 0 + (-1347)/(-1860) + 568/(-710) and -69/1240.
1240
Suppose -665000 = -338*n + 88*n. Calculate the lowest common multiple of n and 44.
29260
Let y = 4203 - 113522/27. Calculate the common denominator of 4/627 and y.
5643
Find the common denominator of 6840/4860*(-6)/(-100) and 187/450.
450
Let j = 122 - -55. Let m = j + -167. What is the least common multiple of m and 54?
270
Let h = -155731/28860 - -590/111. What is the common denominator of h and -89/104?
520
Suppose -64*q + 3950 = -74*q. Let t = q + 463. What is the lowest common multiple of 8 and t?
136
Let o = -409/4 - -923/9. Calculate the common denominator of 49/12 and o.
36
Let w = 1272 - 12769/10. Let z = -64806385/18 - -3602394. Let p = z - 6100/3. What is the common denominator of w and p?
90
Suppose -29 = -0*z - z + 3*d, -2*z + 69 = 5*d. What is the smallest common multiple of 8 and (6/(-4))/(-1)*z/12?
8
Let p be (8/(-10))/((-21567)/(-43490)). Let q = 37558411/1027 + -36571. Let r = q + p. Calculate the common denominator of 68/9 and r.
63
Let p be ((-184152)/108)/(4/66). Let d = p - -28768. Let w = -626 + d. What is the common denominator of w and -31/3?
3
Let h be (-2625)/1290 + (2*-2)/(-2). Let a = h - 57/215. What is the common denominator of -41/12 and a?
60
Let i(u) = -1317*u + 33. Let f be i(-4). Find the common denominator of -29/4 and (-2)/7 + 2*f/(-1260).
20
Let n = -1718 + 48091/28. Let l = 9632413/72 - 133784. What is the common denominator of n and l?
504
Let m = 26 - -4. Suppose -47 + 293 = w. Let t = w - 222. What is the smallest common multiple of m and t?
120
Let t(v) = -v**2 - 2*v - 8. Let c be t(-9). Let z = c + 72. Suppose -3*w - n + 15 = 0, 4*n + 42 = 3*w + 2*w. What is the smallest common multiple of z and w?
6
What is the least common multiple of 330 and (-1)/2 + 185*(-208)/(-160)?
2640
Let u be 1216625/1050 - (-2)/14. Let r = -1156 + u. Let s = -3383/16 - -211. Calculate the common denominator of s and r.
48
Let l = -48543361/2994550 - -6891/425. What is the common denominator of -57/10 and l?
35230
Let r be 2/(8/58770)*2. Suppose 29390 = -5*i + s + 2*s, -5*i + 2*s - r = 0. Let a = i - -93945/16. Find the common denominator of a and -73/82.
656
Let a be 37860/7590 - -1*(-5 + 0). Let q = 8111/1265 + a. Calculate the common denominator of q and -34/9.
45
Calculate the smallest common multiple of 120 and (-2)/21 + 222656/4116.
1080
Suppose -3*c - 1443 = 840. Let g = c - -1103. Find the common denominator of -83/6 and (3/(-18))/(20/g).
60
Let n(v) = 60*v + 5890. What is the lowest common multiple of n(-98) and 180?
180
What is the least common multiple of 300 and 19/(1995/10)*7 - 1436/(-6)?
1200
Let p = 12270 - 12255. What is the smallest common multiple of 3825 and p?
3825
Suppose -2133 = 3*l - 5*g, 5*l + 3322 + 261 = -g. Calculate the smallest common multiple of l/(-32) + 3/(-8) and 44.
44
Suppose 5*h - 4263 = 2*j, -h + 3450 = 3*h + 5*j. What is the least common multiple of 380 and h?
3420
Suppose -1693 = 60*p - 229*p + 335. What is the smallest common multiple of p and 2964?
2964
Calculate the common denominator of -17 - -2787*10941/1793988 and 33/14.
28476
Suppose 4*j = -0*p + 3*p + 849, 0 = -p - 3. What is the least common multiple of (-1)/((-7)/j + 0) and 11?
330
Suppose -110 = 85*f - 83*f. Find the common denominator of (f/385)/(12/(-847)) and 82/75.
300
Let z(x) = 2*x**2 - 48*x + 97. Let l(c) = 3*c**2 - 47*c + 97. Let p(a) = 3*l(a) - 4*z(a). Calculate the lowest common multiple of 72 and p(2).
72
Let s be (-82266)/22*309/206. Let j = s - -5608. Calculate the common denominator of j and -11/12.
132
Let b = 990261/299 - 630988653/16744. Let s = b - -34374. Calculate the common denominator of -87/16 and s.
112
Let h = 70/1539 + -68323/24624. Let j = 9871/1308 + 4/109. Find the common denominator of h and j.
48
Let g = 24352/309 + -473/6. Calculate the common denominator of 119/10 and g.
1030
Let p = 9526151/4920 + -47/4920. Let t = 1539104/795 - p. Find the common denominator of t and -76/27.
1431
Let g be (10/9692)/((-324)/(-7830639)). Let i = -486/2423 + g. Let t = i + -221/8. What is the common denominator of -55/14 and t?
126
Let z = -7914 + 10484. Calculate the least common multiple of z and 3855.
7710
Calculate the common denominator of -41/14 and (13 - (-8562)/(-648))/(-1).
756
Find the common denominator of 60/75*2 - -10 and -19/1629.
8145
Suppose 0 = -4*n + t + 92, -t = -14*n + 3*t + 324. What is the lowest common multiple of n and 158?
1738
Suppose -6*u - 10 = -7*u. Suppose -87 = -6*b - 5*z + 4*z, -3*z = b - 23. Calculate the lowest common multiple of b and u.
70
Let x = 992157283/21 - 47224978. Let l = x - 20603. What is the common denominator of 102/(-9)*(-2)/3 and l?
63
Let r = 155965/8 - 19539. Let a = r + 47. What is the common denominator of 11/(-2) + -10 + 14 and a?
8
Let a(g) = 179*g**2 + 816*g - 4093. What is the lowest common multiple of a(5) and 6?
13386
Suppose 152*l - 141*l = -9900. Find the common denominator of 20910/l - (-3)/(-5) and 19/16.
48
Suppose -46 = -3*n + 2*t, -3*t + 64 = -3*n + 8*n. Find the common denominator of n/63 + (-427)/(-144) and 47/30.
240
Let p = 65788/3 + -21915. Calculate the common denominator of 85/1372 and p.
4116
Calculate the common denominator of ((1 + 0)*21/(-75))/((-82840)/70850) and -41/76.
380
Let c = 2158174/3943165 - -2/41507. What is the common denominator of c and 49?
95
Let u be -4 + 2/((-2)/(-355)). Suppose -10*n - u = -n. Find the common denominator of 21/16 and 24/18 - n/8.
48
Let h = 686737/144 + -4768. What is the common denominator of (-4)/14 + (-786)/(-448) and h?
288
Let g = 78487 - 27470469/350. What is the common denominator of -2/21 and g?
1050
Let v = -17873 + 7381523/413. Find the common denominator of v and -39/14.
826
Let n = -164120573/12 + 13684933. Let q = 8213 - n. Find the common denominator of q and -25/21.
84
Let g be (-23148)/108 - (1 + 1)/(-6). Let l = 222 + g. Let s(k) = -2*k - 8. What is the lowest common multiple of l and s(-12)?
16
Find the common denominator of 17/220 and 436/55 - (-134 + 142).
220
Let u = 471 + -735. Let k = -5777/8 + 721. Find the common denominator of k and (-8)/(-44) + 1863