064
Let g(a) = -a**3 - 8*a**2 + 20*a + 8. Let y = 12 - 22. What is the least common multiple of 12 and g(y)?
24
Let m = -327 - -1009/3. Let j(b) = 17*b - 26. Let s be j(3). Suppose -5*l = s, -2*q + 0*l - 78 = -4*l. What is the common denominator of q and m?
3
Let q = 59 + 221. Calculate the least common multiple of q and 14.
280
Suppose -3*r - 7 = -7*c + 6*c, 4*c - 49 = 5*r. What is the least common multiple of c and 224?
224
Let y = 316/5 + -2743/40. Find the common denominator of y and -69/188.
376
Let l be (20/(-22))/((-79)/231628). Suppose 4523 = 5*f - 8787. Let a = f - l. Find the common denominator of -49/10 and a.
110
Let o = -280093/34472 - -1/4309. Find the common denominator of o and -61/65.
520
Let c = -19/872 - -16541/599064. Let w = c - -63883/1374. Calculate the common denominator of w and 33/46.
46
Suppose 12*t + 5*c + 129 = 16*t, 0 = t + 5*c - 51. What is the least common multiple of t and 9?
36
Find the common denominator of ((-87)/4)/(-29) + (-421)/300 and -64/3.
75
Suppose 3*t = 2*z - 4*z + 49, 3*z = -t + 14. Let g(i) = i**2 - 17*i + 2. Let v be g(t). Suppose v*p - p = 2. Calculate the least common multiple of 16 and p.
16
Let y = 1/145069 + -725490077/1160552. Let k = y + 624. What is the common denominator of (-2)/(-4)*9*-2 and k?
8
Find the common denominator of ((-21)/91)/(627/(-608)) and -13/7.
1001
Let q = 42 + -12. Suppose 0*m - 5*m = -q. What is the least common multiple of 2 and 15*3*m/27?
10
Suppose -6*b = -2*b - 40. Let s be b*(-4)/(-3 + 1). What is the lowest common multiple of (-2)/(-10) - (-76)/s and 4?
4
Suppose -96*c + 1287 = -83*c. Calculate the least common multiple of 27 and c.
297
Suppose n + 31 = 2*n + 5*o, 5*n - 184 = 4*o. Suppose 0*h = 2*h - n. What is the common denominator of 81/22 and (h/10)/(12/27)?
220
Let r = -327 - -347. Calculate the smallest common multiple of r and 12.
60
Let w = 1311/770 - 117/154. What is the common denominator of w and 3/140?
140
Let f be (27/6)/(-1)*2/3. Let i(p) = 4*p**2 + 4*p - 6. Calculate the least common multiple of i(f) and 12.
36
Let x(p) = -p + 18. Let w be x(10). Calculate the common denominator of w - 3 - 608/132 and 58/27.
297
Let q = -210755/27588 - -944/121. What is the common denominator of 9/11 and q?
2508
Let t = 597 - 595. What is the lowest common multiple of 24 and t?
24
Let m(x) = 300*x**2 - 16*x - 13. Let b be m(-6). Let l = 2489669273/228246 - -9/38041. Let h = b - l. Find the common denominator of h and 137/6.
6
Let i = -1/171 + 176/855. Calculate the common denominator of i and -17/33.
165
Let t be 34/119 - (-5)/7. What is the least common multiple of 22 and 13 - (t + -2 + 2)?
132
Calculate the common denominator of (-4)/10*(2175/(-4))/(-5) and (-606)/15*2/(-16).
20
What is the common denominator of (-434)/56 + 7 + (-161)/(-80) and -15/224?
1120
Let y = 211 - 178. What is the smallest common multiple of y and 30?
330
Suppose 2 = -4*o + 22, v = 3*o - 17. Calculate the common denominator of v/(3*22/(-69)) and 26/(-14) - (36/(-28) + 1).
77
Let s = -802 + 857. What is the least common multiple of 88 and s?
440
Suppose 4*p = -4*t + 20, 2*t - p = -0*p + 10. Suppose 4*j = -135 - t. Let y = j - -40. What is the smallest common multiple of 11 and y?
55
Let f = 190178758709189/14521929278 - 2/427115567. Let t = f - 13097. What is the common denominator of t and 15?
34
Let n = -21 - -22. Calculate the common denominator of 1 + ((-109)/(-6) - -1) and (585/48)/3*n.
48
Let j = -76 - -136. Suppose -4*n = 3*w - 20, -6*n + n - 4*w = -26. Calculate the least common multiple of n and 3/(-3 + j/16).
4
Calculate the common denominator of 1/((-33)/(-6)) - (-7845)/(-9570) and 25/12.
348
Let l(p) = -p**3 - 8*p**2 + 2*p - 7. Let n be l(-7). Find the common denominator of (2/n)/((-8)/2020) and -49/4.
28
What is the common denominator of 79/8 and (-688)/(-40)*(-20)/(-64)?
8
Suppose 5*x - 54 - 36 = 0. Let c(k) = -k**3 + 16*k**2 + k - 12. What is the least common multiple of c(16) and x?
36
Let a = 33 - -3. Suppose 0 = -32*m + 28*m + a. What is the smallest common multiple of 3 and m?
9
Find the common denominator of 81/8 and 111/(-156) - 21/(-63).
312
Let q = 101/29 + -2795/1044. Let s = 523/180 - q. Find the common denominator of (-4)/((-160)/(-54)) + 0 and s.
20
Suppose 97 = 3*c + 88. Suppose 0*f + 117 = 2*f + 3*z, -c*z + 60 = f. Calculate the smallest common multiple of 12 and f.
228
Let m = -1103213/4 + 277281. Let g = m + -1498. What is the common denominator of 5/12 and g?
12
Let g(a) = a**3 + 10*a**2 - a + 2. Let m be g(-10). Calculate the least common multiple of (2 - 184/m)*(-6)/4 and 18.
180
Suppose -4*q + 18*k - 15*k + 173 = 0, 2*q + 2*k - 90 = 0. Calculate the smallest common multiple of 44 and q.
44
Suppose 4*l + 34 = -5*h, 0 = 9*h - 4*h + 3*l + 38. Let v = -8 - -3. What is the common denominator of (154/(-32))/(v/h) and 51/11?
88
Let a = -150 - 125. Find the common denominator of -95/8 and ((-10)/4 + 1)/(300/a).
8
Let o be 23/4 + (-6)/8. Suppose -o = -2*v + 3*y, -2*v + 5*y + 5 = v. Calculate the smallest common multiple of 1 and v.
10
Find the common denominator of -3 + ((-114)/(-81) - 1) and 107/54.
54
Let a = -710 + 31283/44. Calculate the common denominator of a and -69/20.
220
Suppose 0 = 2*f + 6, 5*k - 3*f + 22 - 41 = 0. What is the lowest common multiple of 13 and k?
26
Let l = -2155/4 + 551. Find the common denominator of 62/3 and l.
12
Let g(y) = 4*y + 15. Let n be g(-12). Find the common denominator of -91/6 and (n/(-16))/((-108)/(-176)).
36
Let b = -1/5415 + 250901/32490. Find the common denominator of -9/86 and b.
774
Let p = -48/31 + 815/186. Let r be (-40465)/89490 + 2/(-3). Let m = r + -2/157. Find the common denominator of p and m.
114
Suppose -262 = -c + 12*i - 11*i, -4*c - 3*i + 1062 = 0. What is the least common multiple of c and 12?
264
Suppose -2*y + 5*y - 24 = -2*p, 2*y - 32 = 4*p. Calculate the least common multiple of ((-8)/y)/(12/(-30)) and 16.
16
Let s(w) = 2*w. Let n be (6 - 1)*(-1 + 2). Let z(q) = 3*q + 48. What is the smallest common multiple of z(-12) and s(n)?
60
What is the common denominator of ((-41)/(-12))/(765/(-102)) and -91/160?
1440
Let k(u) = 7*u - 11. Let l be k(4). Suppose 4*w - 15 = l. What is the smallest common multiple of (-1 + 0)/(-1)*14 and w?
56
Let n = 16 - -68. Calculate the lowest common multiple of 6 and n.
84
Calculate the smallest common multiple of 6 and (0 - 35)*48/(-28).
60
Let x be 514/8*148/(-6). Let d(l) = 5*l**3 + 15*l**2 + l - 16. Let z be d(6). Let f = x + z. Find the common denominator of -125/6 and f.
6
Let d(j) = -3*j**3 - 8*j**2 + 6*j + 2. Let z be d(-7). Let o = 35/356 + 12037/2492. What is the common denominator of o and z/270 + 6/15?
126
Let i = -148801/1904285 + -2/16559. What is the common denominator of i and -37/11?
1265
Find the common denominator of ((-1)/27)/((-2)/(-1308)*-4) and 151/60.
180
Suppose 9*o - 13*o = 12. What is the common denominator of 81/16 and 4/o - (5 + (-145)/10)?
48
Let a be 3*(40/(-12))/(-5). Suppose h + 21 = 2*d, 0 = a*h - 1 - 5. Calculate the lowest common multiple of -10*(18/(-15) - 0) and d.
12
Let p = 107161/10 - 10705. Find the common denominator of 33 and p.
10
Let p = 21 - 21. Suppose 0 = 5*c - p*c - 2930. Calculate the common denominator of 4/6 + c/(-24) and 37/14.
28
Suppose 112 = 12*h - 320. Calculate the lowest common multiple of 160 and h.
1440
Let r = 13 + -11. What is the common denominator of 0 + (-242)/(-20) + r/5 and -10?
2
Suppose -z - 41 = f + 2*z, -3*z = 4*f + 137. Calculate the common denominator of ((-10)/f)/(3/108) and 2 + -3 - 63/8.
8
Suppose -3*t + 14*t = -1650. Find the common denominator of -109/28 and ((-2)/22 - 0)/(t/(-3825)).
308
What is the common denominator of (30/4)/((4 + -3)*-9) and 7/3?
6
Let u = 9406721/4250 - 98/2125. Let d = u + -2222. Calculate the common denominator of 59/(-9) - 6/(-27) and d.
30
Suppose -4*i + 53 = -5*k, -i - k + 22 = -4*k. Calculate the lowest common multiple of 25 and i.
175
Suppose 5*o - 3*b - 1 = -4, 0 = -o + 3*b - 3. Suppose 3*k = -2*k + 4*z - 34, 2*z - 2 = o. Let c = 3 - k. Calculate the lowest common multiple of c and 11.
99
Let w = -10 + 16. Suppose -z + 26 = -5*u + 2*z, 2*z + w = 0. Calculate the common denominator of -16/9 and (-19)/12 + u/42.
36
Let u(f) = -22*f - 17. Let p be u(-4). Suppose 