
110
Suppose -p + 5715 = -x + 1254, 13398 = 3*p + 2*x. What is the lowest common multiple of p and 576?
17856
Suppose 0 = 63*j - 75*j + 24. Let w(q) = 73*q**3 - 2*q**2 + q. Calculate the least common multiple of w(1) and j.
72
Let z = -7603/60689007 - -5062003903471/4477634936460. Let u = z + 3/5270. Find the common denominator of 61/8 and u.
168
What is the common denominator of -7/104 and 93755/(-237660) - ((-5)/(-3))/(-5)?
24232
Let j = 2 + 2. Suppose -11*h + 14*h = 9. Suppose h*f - 5*f + 24 = 0. What is the least common multiple of j and f?
12
Let g = 7870807 + -52340866427/6650. Find the common denominator of g and 19/16.
53200
What is the lowest common multiple of 132 and 2/3 - 3395/(-840)*8?
132
Suppose -74*c + 1230 = -64*c. Let u = c + -117. Calculate the lowest common multiple of 18 and u.
18
Let m = -846 + 1340. Let u = 38 - m. What is the lowest common multiple of 2 and u/(-133)*7/2?
12
Let j = 945 + -15037/16. Let t = -131371/12 + 10935. What is the common denominator of j and t?
48
Suppose 3*o + 214 = -2*c + 44, -3*c + 258 = -5*o. Let v = -54 - o. Suppose -5*l - 6 + 21 = v. What is the least common multiple of l and 20?
60
Suppose -4*z - 3*j = -0*z - 4, 5*z - 4*j - 36 = 0. Suppose 0 = z*b + 36 + 12. Calculate the common denominator of 107/10 and 0 + 3 + (-232)/b.
30
Let o be 4 - (-1 - (-1 + 149)). Let q(c) = -c**2 + 6*c - 6. Let s be q(6). Find the common denominator of 37/16 and (-3)/o*207/s.
272
Suppose 12*v - 7*v = -15, u = -4*v - 16. Calculate the common denominator of (-28)/(-12) - ((-3)/3 + u) and -17/67.
201
Suppose 9*p = 165 + 231. Calculate the lowest common multiple of p and 308.
308
Suppose -3*k - 7 = -2*x - 4*k, 11 = 2*x - 3*k. Let v(g) = -g**2 + 21*g - 26. Let l be v(19). What is the common denominator of 13/14 and (-246)/x*l/(-252)?
14
Let r = 117941/20720 + -6/1295. Let j = 41/1188 - 28667/47520. Calculate the common denominator of r and j.
160
Let q = 156 + -104. Suppose -29*v = -86*v + 2280. What is the lowest common multiple of q and v?
520
Suppose -3*i = 4*z, i + 20 = -i + 4*z. Let u be 33/(-6) + (-6)/i. What is the common denominator of 2/u - (-20)/(-64) and -27/20?
80
Let g = -3892999/90 - -43256. Let n = -140244 + 17670623/126. Calculate the common denominator of g and n.
630
Let y = -6587/80 + 3317/48. Let d be 532/30 + (-4)/6. Let k = y + d. Find the common denominator of k and -37/18.
18
Suppose -167 = 4*c + 53. Let i(f) = 29*f - 913. Let g be i(30). Let j = g - c. Calculate the lowest common multiple of 14 and j.
84
Let q = 1498 - 1518. Calculate the common denominator of q and 47/310.
310
Calculate the common denominator of 67/40 and (5/360)/((-130)/830).
4680
What is the common denominator of 148362/24816 + (-5)/((-4)/((-96)/20)) and -71/14?
28952
Let w be -2*((-4)/2)/((-429)/(-3168)). Let k = w - 3099/130. Find the common denominator of 0/(-1) + 106/44 and k.
110
Let y = -325521 - -203450667/625. Let f = y - 43649/45000. Calculate the common denominator of f and 145/54.
216
Suppose 0 = -j - 3*m + 16, -60 = -5*j + 5*m + 100. Suppose 0 = 7*r - 9*r + j. Suppose -2*p = -0 - r. Calculate the smallest common multiple of 4 and p.
28
Let z(o) = 11*o**2 + 2*o + 10. Let m be z(3). Let h = -415/3 + m. What is the common denominator of (-14)/7 - 2/(-16) and h?
24
Let d = -5393 + 5388. Let j(t) = 3*t**2 - 2*t + 4. Let h be j(-7). Calculate the common denominator of -76/15 and -5 + h/(-18) + d.
30
Suppose -11*j + 11110 = 7*j - 7196. What is the lowest common multiple of 234 and j?
26442
Let l = 72374/545 - 664/5. What is the common denominator of 14/327 and l?
1635
Let t(m) = 15*m**3 + 5*m**2 - 7*m + 2. Let u be t(1). What is the common denominator of 2*6/u + -5 and 107/10?
10
Suppose 3*s - 60 = -3*r, -4*s + 5*r = -60 + 7. Suppose -2*h + 3*u + s = 0, -2*h = -h + 2*u - 12. Find the common denominator of (-628)/120 - (-4)/h and -71/4.
12
Let z = -942539417/513408 + 154211/84. Find the common denominator of z and -67/16.
24448
Let j = -13234 + 330836/25. Calculate the common denominator of 121/730 and j.
3650
Let v = 116229/32290 + 3/6458. Calculate the common denominator of v and -61/1602.
8010
Suppose -2*o + j = 3*j - 4, -3*j = -5*o - 6. Suppose o = 4*b - 519 + 111. Let i = b - 83. What is the smallest common multiple of 7 and i?
133
Find the common denominator of ((-15)/1530*(-106)/(-5))/(4/(-12)) and -41/230.
3910
Let u = -2657/8745 + -3/265. What is the common denominator of -59/22 and u?
330
Let a be (-201)/(-4) + (-64)/(-48). Let p = -8413/156 + a. What is the common denominator of -57/7 and p?
182
Calculate the lowest common multiple of 181 and 13 + (-10)/((-50)/195).
9412
Let r = -1 - -6. Suppose -4*i = -r*i + 8. Suppose 28*l + 24 - 143 - 49 = 0. Calculate the smallest common multiple of i and l.
24
Let l = 298183 + -66196493/222. What is the common denominator of 101/88 and l?
9768
Suppose 3 = r + r + s, -5*s + 21 = 4*r. Let k be (-2)/(-1) - -2 - (r - -4). What is the common denominator of 59/39 and k/(-2) - (5 - 83/5)?
390
Let f be 158788/77 + (7 - (-1 - -4)). Let v = f + -1271547/616. Calculate the common denominator of -23/14 and v.
56
Calculate the common denominator of (-9896622)/(-520773) - (19 + 0) and -77/2936.
32296
Let j be -3 + 7 + 45 + 2. Let b = -61 + j. Let w(z) = z**3 + 11*z**2 + 10*z + 13. Calculate the smallest common multiple of w(b) and 1.
13
Suppose 6*k = 8*k - 22. Let h be (-9 + k)*(1 - (-2)/(-4)). What is the common denominator of -41/64 and h - (-3 - (-154)/16)?
64
Let z(h) = 146*h + 366. Let g = -13 + 43. Suppose 5*r - 2 = 2*w - g, w - 5*r = 14. Calculate the lowest common multiple of z(-2) and w.
518
Let n(m) = -m + 6. Suppose -9*u - 31 - 59 = 0. Let o(f) = 7*f + 77. Calculate the lowest common multiple of o(u) and n(3).
21
Let a(n) = -20*n + 17*n + 6 + 24*n. Let z be a(3). Suppose 0 = 2*m + 5*c - z, -2*m - 3*m - 4*c + 130 = 0. Calculate the lowest common multiple of 8 and m.
88
Suppose 0 = 129*h - 125*h + 320. Calculate the lowest common multiple of (-3 - -8)/(h/(-96)) and 20/(-6)*(-10 + 1).
30
Let t = -96 - -134. What is the least common multiple of (-1)/3*t*-15 and (-2 + -15 + (3 - 6))*(-2)/4?
190
Let x be ((-30)/(-125))/(1329/465). Let c = 17864009/53160 - x. Let a = -336 + c. What is the common denominator of a and -169/30?
120
Suppose -2*q - 48 = -0*q + 3*b, -88 = 4*q + 4*b. Let s be q/(-54)*2/((-4)/18). Find the common denominator of 33/(-484)*2/s and -67/2.
22
Suppose -246*q + 324615 + 37497 = 0. Calculate the smallest common multiple of q and 3680.
7360
Let y be -4 - ((-129105)/15444 + 0 + 0). Let o = y + 29/156. Calculate the common denominator of 12/22*30/(-8) and o.
22
Let k = 4827 - 1853585/384. What is the common denominator of k and 149/96?
384
Suppose 18*p - p = 5882. Find the common denominator of -23/10 and p/340 + 16/(-136).
10
Let x = -6874 + 8374. Calculate the lowest common multiple of x and 550.
16500
Suppose 6*n - 325 = 797. What is the smallest common multiple of 493 and n?
5423
What is the common denominator of -13/1758 and (-552)/18*(-1)/(-1758)?
5274
Let s be (78561/(-56))/3 + (-3)/8. Let p = s + 567. Calculate the lowest common multiple of 44 and p.
396
Suppose 0 = 15*o - 12*o - a + 73, 2*o + 47 = -a. What is the smallest common multiple of -6*(-45)/o*(-40)/6 and 6?
150
Let k(o) = o - 7*o - 7*o - 12 - 4*o**2. Let n be 5/((-125)/(-5)) + 26/(-5). Calculate the common denominator of k(n) and -48/11.
11
Suppose -15 = -13*b - 41. Calculate the common denominator of (44/(-66))/(b/(-5)) and -41/3.
3
Let b = 42597 - 42421. Calculate the smallest common multiple of 6 and b.
528
Let x = -1022637/265 - -3859. Let t = x - -1074/1855. What is the common denominator of t and 21/5?
35
Suppose 4*l = 2*s - 24, 4*s - 4*l + 28 - 84 = 0. Let f(u) = -19*u - 18. Let d be f(-4). Let y = d + -34. Calculate the lowest common multiple of y and s.
48
Suppose -8 = -4*h + 2*m, 4*h - 4*m - 228 = -216. Suppose 0 = g - 4*c - 357, 0 = 4*g - g + 2*c - 1015. Calculate the lowest common multiple of g and h.
341
Let w(v) = -49*v + 223. Let q be w(4). Let z = 13/8 - -109/24. Calculate the common denominator of 4 - ((-190)/(-54) - (-18)/q) and z.
54
Let b be (-3 + 23)*(-2)/(-2). Calculate the common denominator of (-15)/(-108)*438/45 and ((-240)/(-63))/(b/70).
54
Let k = 72 + -42. Let w(y)