).
48
Let w = -3302353/333 + 9917. Let y = -25988198/23 + 225005754137/199134. Let b = y - w. What is the common denominator of 9/22 and b?
286
Let d = -898265 + 7232981/8. Let v = d - 5869. Find the common denominator of -17/93 and v.
744
Calculate the common denominator of 28/3 and (2 - 57/28)/((-60)/(-34)).
840
Let d = -5080374794/5375 + 945186. Calculate the common denominator of d and -48.
5375
Let q(o) = o - 12. Let l be q(6). Suppose m - 1 = 0, -4*r - 16 + 103 = 3*m. Calculate the lowest common multiple of 12 and 4*((-7)/r - 20/l).
12
Suppose 3*p - 4*u = -46 - 19, 0 = 5*p - 3*u + 90. Let f(i) = -i**3 - 14*i**2 + 16*i + 19. Let q = 10 - -2. What is the least common multiple of f(p) and q?
12
Suppose -5*c + 3*z = -61, 0 = -14*z + 10*z + 12. Find the common denominator of -51/77 and (-6450)/(-945) + 4/c + -5.
693
Suppose -3*f = -4*f + 430. Let c = 16 + 10. Calculate the common denominator of (-4 - c/(-7)) + f/378 and -115/24.
216
Let x(j) = 7*j**3 - 41*j**2 - 59*j - 24. Calculate the least common multiple of 208 and x(8).
6032
Let a = 151903/20810 + 1/2081. What is the common denominator of (-728)/440 - (-2)/2 and a?
110
Suppose 105 = -6*t + 225. Let m = -9 + t. What is the smallest common multiple of 94 and m?
1034
Suppose h = 48*y - 53*y + 158, -4*y = 2*h - 124. What is the smallest common multiple of 3 and y?
96
Let z(p) = -p**2 + 7*p. Suppose 11*k - 90 + 24 = 0. Calculate the smallest common multiple of 36 and z(k).
36
Let v be (-16587888600985)/(-896) - (250/35 + -7). Let u = -18513406311 + v. Let s = 137784 + u. Calculate the common denominator of s and -145/18.
1152
Let b be 93 + (3 - 0*(-3)/9). Let x = b + -93. Suppose z - x*c - 49 = -4*z, -2*z = 2*c - 10. What is the smallest common multiple of z and 2?
8
Let n = 106756 + -53805005/504. What is the common denominator of -7/2 and n?
504
Let n = -4033/66 + 696/11. What is the common denominator of n and 299/26*(-110)/(-66)?
6
Let m = -3045898 + 5756747077/1890. What is the common denominator of m and -73/150?
9450
Suppose 8*r = r + 308. Calculate the lowest common multiple of 28 and r/330 + (-538)/(-15).
252
Let p = -19965 + 20065. What is the least common multiple of p and 1450?
2900
Let n = 368171 + -8088083/22. Let q = -532 + n. Find the common denominator of q and -23/160.
1760
Suppose -2494 = -6*a - q, -81*q + 842 = 2*a - 82*q. Calculate the lowest common multiple of a and 45.
6255
Let v = 186289687/294360 + -34806/55. What is the common denominator of 26/15 and v?
26760
Let s = 2/3979 - 187045/63664. Let k be (-15)/18100*((-68074)/6 + -3). Let a = 19/181 - k. Find the common denominator of s and a.
80
Let x = 222467389/10321872 + 7/312784. Let q = x + -43/33. Find the common denominator of 1 + 3 - 201/(-12) and q.
4
Let m = -60106/3 - -20037. What is the common denominator of m and 5/18*(-238)/(-10)?
18
Let z be 46/(-10) + 4/60*-6. Suppose 0*n + 340 = -2*n. What is the common denominator of (-6)/44*n/z and 40?
11
Suppose -1653 = -3*m - c, c = 3*m - c - 1662. Find the common denominator of 36/(-120)*(-3)/((-243)/m) and 121/90.
90
Let s(w) = 9*w**3 + 3 - 10*w**3 - 20*w + 7*w**2 + 8*w. Let z be s(5). Find the common denominator of -31/20 and z*(-236)/(-1440) - 2/(-9).
40
Suppose -1085 = -13*t - 461. What is the lowest common multiple of 344 and t?
2064
What is the lowest common multiple of -8 + (-1488)/(-8) - (3 + 7) and 728?
2184
Let d = -445815/4116068 - -148/1529. What is the common denominator of d and -8/5?
13460
Let a(u) = 12*u + 39. Let t be a(-3). Suppose 4*q = 4*i + 152, 2 - 108 = -t*q + 5*i. What is the least common multiple of q and 154?
462
Suppose -32731 + 301 = -47*j. Calculate the lowest common multiple of j and 115.
690
Let q = 169 + 581. Let j = q - 18757/25. Let b = -4/75 + j. What is the common denominator of b and -71/9?
9
What is the lowest common multiple of 16/280*-5 + 4572/126 and 2772?
2772
Let d(p) = -2456*p**3 + 3*p**2 - 4*p - 12. Let b be d(-2). Let n = -471863/24 + b. Find the common denominator of n and 39/10.
120
Let p = 6403/5 - 1274. Let z(x) = 8*x**2 - 3*x**2 - 4*x**2 - 15 + 8*x. What is the common denominator of z(5) and p?
5
Let q be 186/(-38) + (-28)/266. Let n be 628/132 - q/((-5)/4). Let u = n - 12/11. Find the common denominator of 40/33 and u.
33
Let o(c) = -666*c - 2658. Suppose 3*k - 50 = 2*k. Calculate the lowest common multiple of o(-4) and k.
150
Let h(w) = 3*w. Let i be h(-1). Calculate the smallest common multiple of -3*(-9 - (-3 + i)) and 63.
63
Let t = -508 + 6608/13. Let w = t - -14/39. Find the common denominator of w and -33/16.
48
Let l = -10187 + 10191. Let r = -8 + 6. Calculate the lowest common multiple of l and r + 2 + 2 + 0.
4
Suppose 0 = 133*s - 97*s - 360. Let n = 13 + -8. Suppose n*l - 50 = s. Calculate the least common multiple of 18 and l.
36
Let n = 24 + -15. Let f(a) = 6*a + 18. Let i be f(-3). Suppose 2*c - 5*s + 0*s - 47 = i, -4*c = 4*s - 24. Calculate the smallest common multiple of c and n.
99
Calculate the common denominator of 3/96*3 + -2 and ((-2)/(-16)*2)/(20/(-70)*-56).
64
Suppose -5*n + 4 = -2*i - 15, 5*n - 11 = -2*i. Suppose n*p - 20 = 79. Calculate the lowest common multiple of 33 and p.
33
Let u be (49/14 + 7)*8/14. Calculate the smallest common multiple of (-5)/(4 + ((-27)/u - 0)) and 204.
1020
Let c(m) = 11*m**2 - 1. Let a = 6 + -5. Calculate the least common multiple of (-2 + (200/24 - 6))/(3/27) and c(a).
30
Let n = -44933 - -45670. What is the lowest common multiple of 5 and n?
3685
Suppose -r - 502*a = -500*a - 18, 0 = 5*r - 5*a - 90. Calculate the smallest common multiple of r and 200.
1800
Let s = -23 - -45. Calculate the smallest common multiple of (-1)/(-2 + 88/48) and s.
66
Let m = -81 - -93. Suppose -m*a - 14*a + 364 = 0. What is the least common multiple of 35 and a?
70
Let r(v) = -481*v**2 - 4344*v + 13. Calculate the lowest common multiple of r(-9) and 188.
6956
Suppose 4*h = -0*h + 5*s + 423, 4*s + 216 = 2*h. What is the smallest common multiple of h and (0 - -10)*(-6 + 558/90)?
102
Let o be (-8)/(-908)*(-2)/(6/21). Let i = o + -2531/6810. Calculate the common denominator of i and 68/9.
90
Let q = 38 + -36. Suppose -h - q*d = -6*h + 11, -2*d + 16 = 4*h. What is the common denominator of -47/14 and (28 + -1)*h/12?
28
Suppose -2*k - 5*t = -110, 5*t - 3*t + 8 = 0. Let n = -63 + k. What is the common denominator of -43/33 and n + (-5 + 9)*(-46)/12?
33
Let x = -23035 - -23713. What is the smallest common multiple of 48 and x?
5424
Calculate the least common multiple of 46 and (3 + 35)/(3 + -1) + 4308/1077.
46
Suppose -6*r = 9*r. Suppose r = 4*x - 7*x + 114. What is the smallest common multiple of 6 and x?
114
Let v = -275836337/450 - -612970. Calculate the common denominator of 6/325 and v.
5850
Let l be (42/9)/((-1)/((-255)/10)). Let k = -109 + l. Calculate the least common multiple of 640 and k.
640
Suppose 4*q - 21 = -3*t, -5*t + 0*t + 30 = 5*q. Let w = 957 + -924. What is the least common multiple of t and w?
33
Suppose -j - 11 = -2*a, 2 = -3*a - j + 11. Suppose 70 = 3*k - a*p, -3*k + 3*p + 84 = k. What is the smallest common multiple of k and (-4)/(-10)*(-3)/(6/(-10))?
18
Let i = 87 + 12. Suppose -9*d - 4*p + 373 = -6*d, 0 = -d + 5*p + i. What is the lowest common multiple of 28 and d?
476
Suppose 2*u + 6*u - 96 = 0. Let b be (24/(-9))/(3 + (-38)/u). Let g = b - 4. Calculate the least common multiple of 15 and g.
60
Let z = -47287/14800 + 7/925. Let a = -87 - -88. Find the common denominator of -4 - (90/(-28))/a and z.
112
Calculate the common denominator of ((-7)/(-462))/((-3)/3834*-6) and -87/9662.
106282
Suppose 7*i + 137 = 5*z + 3*i, -5*z - 3*i = -116. Calculate the smallest common multiple of (1 - -2) + 1525/z and 80.
320
Calculate the lowest common multiple of 1791 and (-6 - -4)*(-702072)/336.
12537
Suppose -50*z + 17*z + 20650 = 26*z. What is the lowest common multiple of 6 and z?
1050
Suppose -7934 = -2*j + 4*w, -7560 = -3*j - 5*w + 4396. Let v = 43797/11 - j. Calculate the common denominator of v and 32/45.
495
Let q(d) = 2*d**2 - 24*d - 46. Let k(c) = -c + 16. Let n be k(2). Calculate the smallest common multiple of q(n) and 14.
70
Let z = -1512107/99 + 15274. Calculate the common denominator of 73/135 and z.
1485
Suppose -13*c = -18*c - 200. Let h = 118 + c. Calculate th