660
Let x = -492/17 - -7297/221. Find the common denominator of x and 5/26.
26
Let q(d) = 7*d + 24. Let j(n) = 8*n + 26. Let b(x) = -5*j(x) + 6*q(x). Let p = -2 - 3. What is the smallest common multiple of 49 and b(p)?
196
Suppose 0*m + 3*m + 4*s - 1433 = 0, s - 1915 = -4*m. Let f = -435 + m. What is the least common multiple of 4 and f?
44
What is the common denominator of ((-72)/(-12))/(-2148)*3/(18/183) and -119/18?
6444
Let a(y) = -5*y**2 + 49*y - 9. Calculate the smallest common multiple of a(9) and 54.
54
Let c = -189688657/33 + 5748639. Let b be (-496)/1 + -1 + -1. Let z = c + b. What is the common denominator of 64/15 and z?
165
Calculate the common denominator of (7*1)/1 - (1113400/(-1440))/(-95) and -2 + 0 + 604/144.
36
Let y(s) be the third derivative of -s**5/60 + 11*s**4/6 - 67*s**3 + 459*s**2. Let p(c) = 2*c**2. Calculate the lowest common multiple of p(-4) and y(30).
288
Find the common denominator of -18/53 and (14 + 61)/(2 - 159/(-6)).
1007
Let d(w) = w**2 + 80*w - 1302. What is the smallest common multiple of 126 and d(14)?
126
Let d be 1*(2 - (1 - 0)). Let o be (-2 - -2) + (d - (-1)/1). Suppose -z + 21 - 8 = 5*i, -4*i = o*z - 8. What is the least common multiple of i and 36?
36
Suppose 0*s + 98 = s. What is the least common multiple of s and (8/(-20))/(2/10) - 1760/(-88)?
882
Let c = -141 - -151. Calculate the smallest common multiple of c and 3780/18 - 4/(-3 - -2).
1070
Calculate the lowest common multiple of 36 and -2*11*(-1131)/58.
5148
What is the common denominator of 2/(-5) + 41/15 and -2 - (-10 + 4295/420)*-2*(-10)/(-4)?
84
What is the lowest common multiple of (26600/30)/(1/3) and 266?
2660
Calculate the smallest common multiple of ((-14)/(-8))/((-349)/(-4188)) and 32.
672
Let s = -1787/39113 + -540510681/71733242. Let w = -48/131 - s. Calculate the common denominator of w and -51/62.
434
Suppose 11*b - 151 - 311 = 0. Calculate the smallest common multiple of 994 and b.
2982
Let f(z) = -6*z - 6. Let i be f(-10). Let s = -14 + i. What is the smallest common multiple of s and 15/2 + -3 + (-12)/(-8)?
120
Let h be (4/3)/(8/12). Suppose 10 + h = p. Calculate the smallest common multiple of 3 and p.
12
Suppose -22*d + z + 1 = -21*d, -d + 6 = -2*z. Let y = -942 - -334. Calculate the common denominator of -47/4 and d/(y/164) - 1.
76
What is the common denominator of 37/((-141636)/8697) + (-6)/87 and 26/20*25/(-48)?
1056
Suppose -6389*f - 210956 = -6412*f. Calculate the lowest common multiple of 2 and f.
9172
Let x(y) = 749*y - 376*y - 373*y + 4 + 11*y**2. Calculate the smallest common multiple of x(2) and 42.
336
Calculate the common denominator of 89/48 and 10/135*((-1760)/(-175) + -11).
5040
Let f(t) = -t**2 - t + 4. Let m be f(0). Suppose -m*q - 8 = 2*v, -v + 11 = -q - 0*q. What is the smallest common multiple of (v/12)/((-2)/(-88)) and 8?
88
Let g be 1 - ((-99897)/72)/7. Let x = 1127/6 - g. Let d = -27633/14 + 1974. What is the common denominator of x and d?
56
Let w(d) = d**3 - 3*d**2 + d + 1. Let n(k) = 12*k - 9. Suppose 0 = -2*v + 22 - 16. What is the smallest common multiple of n(v) and w(4)?
189
Let j = -550 + 225. Let c = 367/78 - -19/13. Calculate the common denominator of c and j/84 - 45/(-180).
42
Let a be (-18814)/(-2064) + (-62)/(-93). Let x = a + 4/43. Let f = 19289/12 - 1606. What is the common denominator of f and x?
24
Let k = 3/172 + -10537/2580. Let d be (-247)/6 - 2/4. Let g = -44 - d. What is the common denominator of g and k?
15
Suppose -85 = -2*j - 5*c, -316 = -4*j + 3*c - 107. Suppose 4*x - 8 = 0, s - j = 2*x + 33. What is the smallest common multiple of s and 15?
435
Let p = -4177/988 + 287/78. Let m = -5267/1570 + 3/628. Calculate the common denominator of p and m.
1140
Find the common denominator of -129/110 and (1298/616)/(-18 - -8).
3080
Let g = -242 - -224. What is the smallest common multiple of ((-12)/g)/((-6)/(-216)) and 72?
72
Let a = 195 - 171. Calculate the common denominator of (-285)/18 - 18/(a/(-4)) and -11/39.
78
Suppose -2*q + 5*h = 17, 4*h - 2*h - 14 = -q. Let b = 27 - 24. Suppose -2*a - 7 = -3*o - 48, 3*o - b = 0. Calculate the least common multiple of a and q.
44
Let d be (90/(-8))/((-3)/(-8)). Find the common denominator of -91/4 and (d/3)/((-24)/18).
4
Calculate the lowest common multiple of 2286 and 0 - (1 - -12) - -31.
2286
Let r = 253 + -56. Suppose -5*u + 205 = -5*o, -4*u = u + 3*o - r. Calculate the least common multiple of 55 and u.
440
Suppose 0 = z + 5*c - 39, 172 = -2*z + 4*c + 264. What is the smallest common multiple of 2 and z?
44
Suppose 0 = -5*n - 3*u + 485, 310 + 195 = 5*n - u. Calculate the least common multiple of n and -166 + 151 - (-1 - 49).
700
Let o = 4668421/34302632 + -5/47119. What is the common denominator of o and -23/16?
1456
Let l = 14446909/101853756 + -4/148909. What is the common denominator of (-6)/28*217/10 and l?
3420
Let q = -1821543/40 + 45541. Find the common denominator of 85/216 and q.
1080
What is the smallest common multiple of 124 and -119 + 121 + (-2 - -3 - -59)?
124
What is the common denominator of 129/3190 and ((-1)/(-22)*-1*-3)/((-15660)/7200)?
3190
Suppose -3*b - 3*y = 3 + 54, 3*b - 2*y + 82 = 0. Let a = b + 94. Calculate the smallest common multiple of 35 and a.
70
Let f(j) = 70*j + 844. Calculate the lowest common multiple of f(-12) and 1272.
1272
Let m = -7 + 10. Suppose -105 = -5*r + r + m*g, -117 = -5*r - g. Suppose -25*j + 36 = -19*j. Calculate the lowest common multiple of j and r.
24
Let q = -378 - -380. Suppose -2*m = -4*x + 18, x - 5*m + 7 = -2. Suppose 3*b = -5*h - 17, 0 = h - 2 + x. What is the lowest common multiple of b and q?
2
Find the common denominator of -33/1190 and -5 + -5 + 4 - 38865/(-6426).
10710
Find the common denominator of -121/696 and (-5033)/252 - (-53 + 37).
2088
Let j(d) = 4*d**2 + 4*d - 3. Let m(v) = 89*v + 715. What is the lowest common multiple of m(-8) and j(-3)?
21
Suppose -2*o + 8373 = 2883. What is the common denominator of 71/99 and ((-2)/(-42))/((-165)/o)?
693
Let q be ((-635552)/216*(-1)/24)/(-42). Let a = q - -4/1701. What is the common denominator of 99/20 and a?
60
Let c = 57/2 + -29. Let k be ((-133)/19)/(-14) + 94/(-33). Let n = c - k. What is the common denominator of n and 151/12?
132
Let z = -4921 - -118069/24. Calculate the common denominator of z and -91/570.
2280
Let c be 9/(-12) + (-1014)/(-8). Calculate the common denominator of -73/2 and ((-66)/28)/(4 - 552/c).
16
Calculate the least common multiple of 60 and (-144 - -12)/(-6) - -8.
60
Find the common denominator of 39/100 and ((7380/(-160))/(-41))/((-45)/(-12)).
100
Suppose 1628 = -9*d + 20*d. Let s = -132 + d. Calculate the smallest common multiple of s and 44.
176
Let w(p) = -93*p**2 + 15*p**3 + 5*p + 8*p - 6*p + 92*p**2 - 5. Calculate the smallest common multiple of 14 and w(1).
112
Suppose 11*x - 90 = 2*x. Suppose -700*g + 1672 = -662*g. Calculate the lowest common multiple of g and x.
220
Suppose 68 = -16*l + 644. Find the common denominator of l and 47*(-3)/(-93) - 3.
31
Let q = -46/67 - 487/1340. Let a = 3/19 - 1545/38. Find the common denominator of q and a.
20
Suppose -6 + 58 = 13*o. What is the lowest common multiple of (-16)/(-1) + (-1)/1 and ((-135)/162)/(2/(-9))*o?
15
Suppose 0 = 2*o - d - 84, -27*o = -32*o + d + 204. Calculate the least common multiple of o and 208.
1040
Calculate the common denominator of 49/108 and (-14)/(-24)*((-4806)/1071)/(-3).
1836
Let w = 580371/11761400 - -23/16802. What is the common denominator of 127/1400 and w?
1400
Let w be (-181782)/12 + (-3)/(-6). Let m be (w/70)/(1/15). Let c = m + 35752/11. Find the common denominator of c and -55/4.
44
Let k = -1989/11 - -11927/66. Let w be 1/(-1 - 0) - -1086. Let p = 8665/8 - w. Find the common denominator of p and k.
264
Let d be (3 + -1)/((-1)/2). Let t = 16 + d. Calculate the lowest common multiple of (-1 - -7)/(9/t) and 20.
40
Suppose -43995 = -16*x - 361019. Let v = x + 10911. Let m = v + 284967/32. What is the common denominator of m and 13/16?
32
Suppose -24686 = -55*n + 13264. What is the smallest common multiple of n and 60?
1380
Calculate the least common multiple of 12 and 6/(-5) + (-1 - 42/(-10)).
12
Suppose -2*w + 1 = -4*q - 9, 3*q = 15. Calculate the common denominator of (-12)/w + (4676/240)/(-7) and -1/90.
180
Let i = -15