k + 4*g + 4, 11*k - 7*k + g = -1. Suppose k = -75*q + 85*q - 110. What is the common denominator of 0 + 1 + (-63)/8 and q?
8
Suppose 332 = u - 5*l, -5*l - 342 - 317 = -2*u. What is the smallest common multiple of 1 and u?
327
Let x = 386383/45 - 24341. Let z = x - -15756. Calculate the common denominator of z and -68/45.
45
What is the common denominator of -121/36 and ((-559)/258)/((-40)/(-42))?
360
Let v = 1748671/864468 + -2/19647. Calculate the common denominator of v and 73/24.
264
Suppose 0 = 5*y - 176 + 26. Let t(r) = r**3 - 8*r**2 + 10*r - 21. Let n be t(7). Suppose n = -111*m + 113*m - 54. What is the least common multiple of m and y?
270
Let m = -25 + 40. Suppose 5*h + m = -45. Calculate the common denominator of -70/9 and (-58)/10 - h/(-60).
9
Let k(c) = -3*c**3 - 3*c**2 - 3*c + 2. Suppose 16 - 2886 = i - 288*i. Calculate the least common multiple of k(-3) and i.
130
Suppose -5*l + 5*y + 20 = 0, l = -3*y - 2*y - 8. What is the least common multiple of 5/(-20) + (-201)/(-4) and (5 - l - -11) + 2?
400
Let f be 1*(-6 + 4) - -3. Let y be (-348071)/(-18) - 1/f. Let i = -19343 + y. What is the common denominator of 29/20 and i?
180
Let u = 35153/4260 + -2/1065. Calculate the common denominator of (3/18)/(8/129*-2) and u.
32
Let m be (2 - (-10731)/6)*(6 - 8). Let i = 39357/11 + m. What is the common denominator of i and -93/190?
2090
Let k = -1/2105 - -9684/2105. Find the common denominator of k and 26/115.
115
Let w = -3/10432 - -28111/260800. Calculate the common denominator of w and 97/64.
1600
Let d = 4759/411 - -12/137. Find the common denominator of 8/16*272/728 and d.
273
Suppose -5*l - 8 = -x, -5 = -x - 2*l + 4*l. Let z(v) = -v**x - 1 + 2*v**2 - 5*v**3 - 5*v**3. What is the least common multiple of 8 and z(-1)?
24
Let w be ((-145)/(-25) + -3)*(-5)/(-2). What is the common denominator of 1624/(-480) + w/3 + -2 and -7/10?
20
What is the common denominator of 17/4 - (-6746728)/(-1583600) and 17/16?
42800
Let u = 7078 + -7074. Calculate the smallest common multiple of 86 and u.
172
Let u = -10284 - -10316. What is the lowest common multiple of u and 81?
2592
Suppose 0 = -3*t + 10*s + 50, -25*t - 105 = -30*t - 5*s. Calculate the lowest common multiple of t and (1 + -101)/(-3 + 2).
100
Let h = 28005 + -5853013/209. Find the common denominator of h and -53/893.
9823
Calculate the common denominator of 67/368 and (-12)/(-21) + (-319)/154 - 30/(-32).
368
Suppose 0 = 4*f - 320 - 328. Let d(w) = -2*w**2 + 1084*w + 18000. Calculate the least common multiple of f and d(-16).
1296
Let x = 69/20623 - -1477501/193278756. What is the common denominator of x and -59/6?
9372
Let j = 318 + -84. Calculate the common denominator of -97/14 and (j/2112)/((-18)/(-20)).
3696
Let i = -14365 - -14411. What is the lowest common multiple of 208 and i?
4784
Let c(z) = 436*z**3 - z**2 - z + 1. What is the least common multiple of (((-585)/(-4))/(-13))/((-6)/8) and c(1)?
435
Let r be 7 - (-2)/(-9)*18/2. Suppose r*u + 152 = 9*u. Suppose -5 = 66*p - 71*p. Calculate the least common multiple of p and u.
38
Let g(f) = 2438*f**3 + 7*f**2 - 74*f + 134. What is the least common multiple of g(2) and 10?
97590
Suppose -4*u + 8*l - 10*l = -1560, -8 = 2*l. Calculate the lowest common multiple of u and 1960.
1960
Calculate the common denominator of 1715/(-70)*(0 - ((-47)/(-15) - 3)) and -14/309.
1545
Suppose -2480*f - 2808 = -2519*f. Let t(b) = 8*b + 2. What is the smallest common multiple of f and t(2)?
72
Let l = -84017/12 + 6997. Suppose 4*r - 5*k = 22, 3*r - k - 17 + 6 = 0. What is the common denominator of (-1)/r - 140/270 and l?
108
Let d be 1*90/(18/(-2)). What is the smallest common multiple of 8316/110 + 6/d and 165?
825
Find the common denominator of (16/(-56)*13)/((-10)/(-4)) and -53/126.
630
Let p = 12603967/2154 - 212/359. Let x = 5836 - p. Let k = 9/40 - -651/40. Calculate the common denominator of k and x.
6
Let l = 815691 - 814635. Calculate the least common multiple of 12 + ((-8)/2 - -2) and l.
5280
Let c = -6 + -50. Let d = 63 + c. What is the least common multiple of d and ((-1)/(-2))/((-9)/(-18))?
7
Let s(q) = -2*q**2 + 4*q + 6. Let r be s(9). Let m = -116 - r. Suppose 16 = m*d - 12. Calculate the least common multiple of 6 and d.
42
Suppose -419*z = -483*z + 1024. What is the lowest common multiple of 1480 and z?
2960
Let d = -377 + 128. Find the common denominator of (-1 - d/(-60)) + (-6)/(-10) and (-585)/(-6)*1/33.
220
Let x = -689 + 699. Suppose 5*u = 2*m + 292, 256 = -6*u + x*u + 4*m. What is the lowest common multiple of u and 42?
420
Find the common denominator of 92/(-4) + 13 + (-28430)/(-2834) and 29/195.
21255
Let p = -76/933 - 22973/19593. Find the common denominator of p and 2/27.
189
Let y = 26247770663/4534617820 + 295429/139871. Let p = -3/6484 + y. What is the common denominator of p and ((-3)/(-24))/(-10*(-8)/(-2320))?
40
Find the common denominator of 65/2 and ((-33)/(-738))/(606/(-808)).
738
Let t = -6686/9 + 20114/27. Calculate the common denominator of 62/1329 and t.
11961
Let p = -61904/1755 + 4928/135. Let k = -29538 - -1536063/52. Find the common denominator of p and k.
52
Suppose 0 = 5*b + c - 45, -b + c + 9 = -c. Suppose b*v - 12*v = -17028. Let t = 90727/16 - v. What is the common denominator of t and 1/14?
112
Let g = -2929 - 586. Let l be 2 + (-49286)/(-14) - 1. Let n = g + l. What is the common denominator of 67/3 and n?
21
Let c(w) = -w**2 + 2*w + 12. Let a be c(-6). Let m = a - -32. Find the common denominator of 147/6 + 0 + m and -34/11.
22
What is the common denominator of (-3)/20 - (9 + (-146)/16) and 51/55?
440
Let q = 353 + -431. Calculate the common denominator of -19/35 and (74 - 73)/(q/46 + 2).
35
Let p = 20317 - 20200. Let c = 0 + 24. What is the smallest common multiple of c and p?
936
Find the common denominator of 193713/(-4914) + 41 + (-3)/(6/4) and 38/609.
3654
Suppose 5*m + 780*w = 776*w + 172, -113 = -4*m + 5*w. Let d(p) = 45*p + 1. Let v be d(2). Let o = v - 47. Calculate the smallest common multiple of o and m.
352
Suppose -3*i + 2*k + 14069 = 1289, -2*i + 8530 = -3*k. What is the least common multiple of 3192 and i?
12768
Let l(r) = r**2 - 3*r + 8. Let i be l(5). Let b be ((-3)/(i/15))/(2/(-20)). Suppose -28*t + b*t + 66 = 0. Calculate the least common multiple of t and 6.
66
Find the common denominator of 4 + 275/(-36) - -3 and 3140/135*(-51)/(-680).
180
Calculate the least common multiple of 21 and (-9604)/(-6) + 236/177.
11214
Let i(m) = m**3 + m + 12. Let b = -11026 + 11038. Calculate the least common multiple of b and i(0).
12
Let u = -5199 + 5209. What is the least common multiple of 2124 and u?
10620
Suppose -b + 61 + 89 = 3*x, b + 100 = 2*x. Calculate the least common multiple of x and 56/16*(-2 + 23/(-1))/(280/(-160)).
50
Let t = 4513 + -3343. Calculate the least common multiple of 5 and t.
1170
Let k be 667470/802620 - (-2)/3. Let j = k + -17/343. Find the common denominator of 21/8 and j.
312
Suppose -19*p = -73*p - 24192. Let y = p + 496. What is the smallest common multiple of 24 and y?
48
Suppose -8*g - 1062 = -3*u - 11*g, 1067 = 3*u - 2*g. Calculate the least common multiple of 25 and u.
1775
Let v = -13938 + 641065/46. Calculate the common denominator of v and 7/6.
138
Suppose 124 = 2*i + 664*c - 660*c, -5*i + 288 = -c. Calculate the least common multiple of 192 and i.
5568
Suppose -3*d - 5*o = -12, 3*d + 2*o - 16 + 4 = 0. Suppose d*q = 5*m - 6, -3*q - q + 2 = -m. What is the lowest common multiple of m and 10?
10
Let h = 1624187/168 - 216620/21. Suppose 89*w - 299*w + 136080 = 0. Let o = h + w. Find the common denominator of o and 77/20.
120
Let l be 0 + 78 - (-1 - -1). Let g = -157/5 + 2777/30. Let z = l - g. Calculate the common denominator of 7/20 and z.
60
Let n be (-1)/(-2) + (-254)/(-4). Suppose -60*f + n*f - 48 = 0. Let t = 37 - 17. Calculate the smallest common multiple of t and f.
60
Let g = 70315/408516 + -19375272979/80729706372. Let h = 10/1813 - g. Calculate the common denominator of 63/2 and h.
218
Let p = 1/23857 - -2695661/4294260. Find the common denominator of p and 31/1644.
24660
Suppose -q = -3 + 1. Let y(b) = -24*b + 252. Let u(h) = -8*h + 84. Let f(z) = -16*u(z) + 5*y(z). Calculate the least common multiple of q and f(20).
76
Let j = 824 + -789. Calculate the sma