. Let y = z + -62. Suppose -y = 27*c - 29*c. Calculate the least common multiple of 4 and c.
8
Let w be ((2 - 5) + 2)*-5. Suppose 5*d - 35 = 3*q + 2*q, 5*d + w*q - 55 = 0. Calculate the least common multiple of d and 8.
72
Find the common denominator of ((-747)/(-54) - 14)/(674/332 - -3) and -13/8.
20040
Let o = 2928 - 17515/6. Find the common denominator of o and ((-16)/(-44))/(4/38).
66
Let x = -83971620731/58335378640 + 5471/1840465. Let o = 2/1981 - x. What is the common denominator of 226/(-8)*(-3)/(-15) and o?
80
Let t = -5 + 5. What is the lowest common multiple of (4 - -2 - -1) + t and (-6)/(-5) - (168/15 - 11)?
7
Let l = 32287 - 30727. Calculate the least common multiple of l and 1430.
17160
Let k(b) = b + 8. Let p be k(-8). Suppose p = -14*z + 146 + 64. What is the smallest common multiple of z and 48?
240
Let n = 89 + 7. Suppose 103*f = n*f + 42. What is the lowest common multiple of f and 118?
354
Let q = 622180815826169491/759620 + -819068502446. Let t = -2/37981 + q. What is the common denominator of -37/6 and t?
60
Let k = -59798627/402 + 148753. What is the common denominator of k and -33/335?
2010
Let p = -25495 - -153065/6. What is the common denominator of -1 + 1 - 145/270 and p?
54
Let n(p) = -4*p**2 + 21*p - 65. Let q be n(4). Calculate the lowest common multiple of 22 and q/180 - (-2337)/4.
6424
Let j = -174/1121 - -443359/2170256. Find the common denominator of -93/176 and j.
1936
Suppose 8*f - 2601 = 3479. Find the common denominator of 5 - (2 + 2325/f) and 35/16.
304
Let t = -192657/716401 - -3/54068. Let c = -6/33319 - 14043/3029. Find the common denominator of t and c.
2332
Let n be (-2)/(-12) + (-384106)/(-12). Suppose -j + 3*j + 5*h = -n, h = -j - 16006. Let z = j + 320257/20. Calculate the common denominator of z and 119/20.
20
Let f(m) = -6*m - 140. Let n = 266 - 291. Calculate the least common multiple of f(n) and 6.
30
Let a be 95685/(-27) - 1/3. Let n = a - -3539. What is the common denominator of n and 1*(-9)/135 - (-267)/90?
90
Let h be (32/(-48))/((-1)/9). Suppose 0 = r - 3*t + h, -5*t + 3*t = r - 14. What is the smallest common multiple of 30/2*(-2)/(-3) and r?
30
Suppose 2*f - 5*u + 0 = 5, 0 = -4*f + 2*u + 18. Suppose 0 = -f*m - 0*m + 230. What is the smallest common multiple of 18 and m?
414
Let s = 4049 + -64767/16. What is the common denominator of s and -77/372?
1488
Suppose 0 = -8*w + 29 - 13. Let t be (-2 - 0)/((-8)/4920) - w. Suppose -44 = 8*x - t. What is the least common multiple of 2 and x?
148
Let l = 27/166 - -8221/996. Find the common denominator of ((-28)/6)/(4/(-39)) and l.
12
Let j = -17859/278 + 1964076463/30573606. Let k = -228265099/219954 + j. Let z = -1043 - k. What is the common denominator of z and 23/38?
266
Suppose -136*h - 23492 = -132*h. Let d = h + 35317/6. Calculate the common denominator of -7/6 and d.
6
What is the least common multiple of 11 - (0 + (7 - 14)) and 628?
5652
Let i = 1332 - 2247. Find the common denominator of (i/(-918) - -2) + -12 + 9 and 23/6.
306
Let v be 12/9*(-9)/(-6). Suppose -345 = -5*q - 5*j, -3*j + 11 = v. What is the lowest common multiple of q and ((-286)/(-52))/(4/16)?
66
Suppose -2*v - 232 + 64 = 0. Calculate the least common multiple of 120 and (-4)/6*v/14.
120
What is the common denominator of (6/(-28))/((-3)/(-6)) - 759166/(-1794352) and 45/16?
6928
Let h(y) = -2*y**3 - 14*y**2 + 13*y + 12. Suppose 0 = 28*j - 2095 - 145. Calculate the least common multiple of h(-8) and j.
720
Suppose 286 = 7*q + 34. Let u be 16/(-40) + q/(-10). Calculate the common denominator of u/(-2)*(109/50 + -1) and 103/10.
50
Let f be 381/3 - (0 - -1). Let c be (-432)/f*(14 + 1 + -1). Calculate the common denominator of 119/30 and -2*34/8*(-18)/c.
240
Let c = 5470 + -5446. What is the smallest common multiple of c and 87?
696
What is the common denominator of (-13800)/270*15/280 and 37/133?
798
Let a = 328 - -380. Let f = a - 696. What is the lowest common multiple of f and 7?
84
Suppose 10*v - 360 = 14*v. Let y = 10 - v. Let x = -79 + y. What is the lowest common multiple of 7 and x?
21
Let m(u) = -u**3 - 7*u**2 + 7*u - 2. Let b be m(-8). Suppose 120 = -0*i - b*i. Calculate the common denominator of 8/11 + -4 + 4 and i.
11
Let s = 29494537997/60 + -491542320. Let f = s - 33315. Find the common denominator of f and 77/8.
120
Let q = 18804742 + -586557512375/31192. Find the common denominator of q and -6/7.
31192
Let l(r) = -3*r + 11*r + 14 + 7*r + r**2 - 17*r. Let n(y) = y**2 + 4*y - 5. Let u be n(-5). Calculate the least common multiple of 2 and l(u).
14
Let d = 2350 - 2251. Calculate the lowest common multiple of d and 423.
4653
Let c = 97851/80104 + 9/4216. Let p = -1441/72 - -164/9. What is the common denominator of c and p?
456
Let q be 2 - 44330/(-12) - 5/30. Suppose -12*b = -5*b - q. Suppose u = 12*u - b. Calculate the least common multiple of u and 20.
240
Suppose 0 = 3*y + 4*d - 12, -y + 20 = 4*y + 3*d. Suppose -y*f + 5*f = 18. Calculate the smallest common multiple of (7/5 - 2)*(-13 - 7) and f.
36
Suppose 3*c = -5*l + 1500, -3*c + 52*l + 1500 = 50*l. Calculate the smallest common multiple of 100 and c.
500
Suppose -5*p + 1114 = -q, 4*p + 2*q - 299 - 581 = 0. Calculate the least common multiple of p and 1332.
1332
Let z = 15419 + -215819/14. Find the common denominator of z and -29/26180.
26180
Let u = -108328/25 + 4334. What is the common denominator of u and -69/275?
275
Suppose -10*a + 153 + 67 = 0. Suppose 0 = -3*x + 769 + 47. Suppose x = 2*h + 3*s, -658 = -h - 4*h - 2*s. What is the least common multiple of h and a?
1430
Calculate the common denominator of (-183106)/16720 + 0 + 11 and 1/15.
2280
Let f = -1 + 19. Let c = -176 + -41. Let k = c + 238. Calculate the lowest common multiple of f and k.
126
Let n = 75 + -71. Let s = -2/1119 + 45889/5595. Calculate the common denominator of s and ((-354)/(-8))/(4/8 + n).
30
Let j = -142 + 119. Let s = j - -74. Let i = 71 - s. Calculate the least common multiple of 8 and i.
40
Suppose 0 = 289*n - 293*n + 5*s + 109, 22 = 2*n + 4*s. Suppose b - 27 = -18. What is the least common multiple of b and n?
63
Calculate the common denominator of (1539/(-432))/((-6)/(-20)) and 2/15 + (-55560)/43200.
72
Suppose -13*x = -16*x - 6, -3*x - 537 = -3*i. Let u be 1 + (-3 - 0) + 1. What is the common denominator of 1/(u + 153/i) and -59/20?
40
Let c = -1771/12 + 149. What is the common denominator of c and ((-2)/(-66))/(5/(-335))?
132
Let i be ((-3)/(90/96))/(4/(-10)). Suppose 4*g - 24 = -0*g + 4*u, 0 = 3*g - u - i. What is the smallest common multiple of (2/1 - g)/(8/64) and 45?
360
Calculate the common denominator of -97/3550 and 417/42 + -6 - 3.
24850
What is the common denominator of -81/20 and ((-3)/12)/(7/4970*10)?
20
Let x = 418 + 1201. Let w = -24211/15 + x. What is the common denominator of -8/23 and w?
345
Suppose 12297 + 10520 = 40*i + 5217. What is the lowest common multiple of 1880 and i?
20680
What is the common denominator of -63/8 and ((-37)/(11655/(-216)))/(318/45)?
2968
Let a(g) = -g**3 + 12*g**2 - 11*g + 24. Let h be a(11). Suppose 5*s - 9*s + h = 0. Calculate the lowest common multiple of 22 and 3/(-9) - (-86)/s.
154
What is the common denominator of 68/55 and (-831)/858 - (-3 - -2)/1?
1430
What is the lowest common multiple of (2/(-9) + 321/108)*(-106 - -178) and (-8)/((-80)/15)*120?
1980
Let s(z) = 15 - 9*z + 4*z + z**2 + 18 - 3. Calculate the smallest common multiple of s(0) and 6.
30
What is the common denominator of 15 - 3 - 483/14 and 47/1311?
2622
Let s be (21/1890)/((-28)/4570). Let l be (-5)/18*(-20)/(-14). Let y = l - s. What is the common denominator of y and 81/32?
96
Let s = 6249 + -6089. Calculate the smallest common multiple of 64 and s.
320
Suppose 2*b + 249 = -2*b - 5*w, w + 173 = -3*b. Find the common denominator of 85/28 and (4 + 492/b)/(35/14).
140
Let w(i) = -251*i - 239. Calculate the smallest common multiple of w(-1) and 508.
1524
What is the common denominator of (-3686)/57*((-3)/(-84))/((-6)/(-18)) and 2 - ((-74)/(-20) + -2)?
70
What is the least common multiple of 3978/1768 - (-2 + 26/8) and 30470/70 + (-2)/7?
435
Let v = 4613 + -10331/2. Let z = -9985/18 - v. Find the common denominator of z and (68/(-15))/(2/3).
45
Suppose -3*l = -y + 5 - 19, -3*l + 22 = -5*y. Let p(u) = 80*u - 1436. 