1476 + 851/41. Let b = 262 - 225. Calculate the common denominator of -9 - 3*b/(-4) and q.
36
Let n = 2471063/90 - 27458. What is the common denominator of n and -31/2961?
29610
Suppose -3*d - 13018 = -4*q - 3209, 0 = -2*q - 4*d + 4888. Calculate the lowest common multiple of 550 and q.
26950
Let z be (120/(-5) + 6)/(6/(-4)). Suppose 3*d + z = c, 21 = c + c - 3*d. Calculate the least common multiple of 24 and c.
72
Let u = -7/16 + 291/80. Let p be (-450)/(-21) + -2 + (-92)/(-161). What is the common denominator of (4355/(-2820) + p/12)*-4 and u?
235
Let p be 1/2 + (-983797)/468270. Let f = 1/1089 + p. What is the common denominator of f and 14/(-3)*(-1)/(-4)?
30
Suppose 10*w - 2167 - 9533 = 0. Calculate the least common multiple of w and 10.
1170
Calculate the common denominator of 109/(-50) + (-2236)/(-2795) and 79/50.
50
Let n = -218 + 221. Let c(i) = 4*i**2 + i. Let j be c(-1). Suppose 4*s + j = -4*b + 23, n*b - 2*s = 5. What is the least common multiple of 5 and b?
15
Let m be (24/(-28))/((-1)/154). Calculate the common denominator of (-1)/6*(-432)/(-128) and (-247)/m + ((-85)/(-15) - 6).
176
What is the least common multiple of 45 and (-4)/(-70)*(-126)/54 + (-902)/(-15)?
180
Let g = 3 + -1. Let u = -215 - -231. Suppose u*r - 47 = 81. What is the least common multiple of r and g?
8
What is the common denominator of (-791824)/(-531520) - (-3)/(-2) and 29/90?
27180
Let i(g) = -20 - 82 - 28*g - 22 - 30. What is the lowest common multiple of 77 and i(-8)?
770
Suppose 102 = 4*o - 3*o + 5*q, 287 = 3*o - 4*q. Let k(j) = -2*j**2 + 12*j + 2582. Calculate the lowest common multiple of k(-33) and o.
776
Let h = 67319 - 2423635/36. Find the common denominator of 61/1184 and h.
10656
What is the common denominator of 75/1924 and (1755/(-121212))/((-48)/14)?
15392
Let t = -951112/5 + 16710691/90. Let a = t - -4546. Calculate the common denominator of -40/9 and a.
18
Suppose -7 = -2*j + 13*m - 14*m, -5*j - 5*m + 5 = 0. Suppose 0 = 2*p + 2*p - 108. What is the least common multiple of j and p?
54
Let i(g) = 14*g - 18. Let s be -4 - (1 - 6 - 6). What is the smallest common multiple of i(s) and 8?
80
Let g(s) = 62*s - 115. Let d be g(7). Let n = -1919/6 + d. What is the common denominator of -117/308 and n?
924
Let z = 7609/1655 - 264/331. Let a = -340 + 3367/10. Calculate the common denominator of z and a.
10
Let o = 72 + -32. Let z = o - 54. Let r = z - -16. Calculate the least common multiple of r and 16.
16
Let d be 4/(-30) - 2720/(-150). Suppose -b + 4*b = 9, d = 4*s - 2*b. Suppose 5*m = -s + 51. What is the least common multiple of m and 18?
18
Let r = -286785655/616 - -465561. Calculate the common denominator of r and -107/56.
616
What is the common denominator of 2104/(-175) + (-1236)/(-103) and 1131/110 - (-6)/(-33)?
350
Let q = 32758/9 - 3646. Calculate the common denominator of (616/(-36))/(-3*(-114)/(-9)) and q.
171
Let z = -3/6354362 - -44061146735/1328061658. Let g = -544/19 + z. Let c = 67021/2 - 33499. Calculate the common denominator of g and c.
22
Suppose -93 = -4*v + m, -m = -2*v + 5*v - 61. Let a be 194/v + 2/11. Suppose -3 + a = g. What is the smallest common multiple of g and 5?
30
Let o be (-25072)/11 + -6 + 18 + -10. Let h = 2279 + o. What is the common denominator of h and 2/3*(-36)/(-14)?
77
Let a = 3275845/12 + -855487/3. Let n = a + 6282199/516. Calculate the common denominator of -101/2 and n.
258
Let c(z) = -5*z**2 - 11*z + z**3 - 1 + 1 + 34 - z**2. What is the lowest common multiple of 54 and c(7)?
54
Let u = -1410237637/3 + 41490601523152/88263. Let n = 6/3269 + u. Let p = n + -8681/3024. Calculate the common denominator of -89/20 and p.
80
Suppose 3*u = -3*w + 48, -49*w - 2*u = -51*w. What is the smallest common multiple of w and 4969?
39752
Let i be (-2)/((-5)/(-725)*-2). Suppose b = -x + 77, -9*b = -2*x - 14*b + i. Calculate the lowest common multiple of 40 and x.
80
Let z(p) = 3*p + 11. Let v(y) = -13*y**2 - 5*y - 3. Let k be v(-2). Let q = k - -54. What is the least common multiple of z(0) and q?
99
Let f be (-29210)/(-92)*(-24)/10. Let z = f + 7627/10. Calculate the common denominator of -119/402 and z.
2010
Let d(r) = -3*r**2 + 36*r - 58. Let t = 6 - -1. Calculate the least common multiple of t and d(10).
14
Find the common denominator of ((-1944)/3072*4/(-42))/((-26)/7) and 93/2288.
18304
Let b be 46/(-253) - (-30686)/(-22). Find the common denominator of 6/(-4)*(-5332)/b and 15/16.
240
Let i = -13163581/17095300 - -2/170953. What is the common denominator of i and (-31)/((-13)/(-1) + -3)?
100
Let p = -58447/468 + 1647/13. Let d = -4835/7 + 97141/140. What is the common denominator of p and d?
180
Suppose 8*a + 3*h + 34 = 7*a, -68 = 2*a + 3*h. What is the common denominator of -55/8 and ((-24)/(-16))/((-120)/a)?
40
Let m = 30657 + -7970763/260. Find the common denominator of 91/12 and m.
780
Let s(h) = -4*h**2 + 154*h - 30. Let i be s(40). Find the common denominator of 618/4*(-2)/(-120) and (38/96)/((-30)/i).
80
Calculate the common denominator of (12/157626)/((-8)/55554) - (-20)/35 and 97/18.
2502
What is the smallest common multiple of 2/(-6) + (-35)/15*(-1375)/175 and 748?
6732
What is the least common multiple of 6 and 120*(75/50)/(9/28)?
1680
Let c be (-2)/(-8) + 2/(-8). Let h(o) = -15*o - 83. Let s(g) = -2*g - 12. Let i(x) = -h(x) + 6*s(x). What is the lowest common multiple of 10 and i(c)?
110
What is the lowest common multiple of 24/(-84) - 5/((-35)/2312) and 726?
3630
Let s = 478 + -474. What is the common denominator of 2/((-152)/(-214)) - 0 and (-102)/10*(4 - 21/s)?
76
Let p(f) = 4*f - 4. Suppose 0 = -r + 4*d - 16, 623*r + 8 = 624*r - d. Calculate the lowest common multiple of p(6) and r.
80
Find the common denominator of 61301/9880 + (-504)/72 + 12/15 and -119/684.
17784
Suppose 39 = 3*b + 4*x - 7*x, -21 = -3*b - 3*x. Suppose -94 = -4*q + 9*l - b*l, q + 2*l = 20. Calculate the least common multiple of q and 27.
216
Suppose 0 = -2*l - 0*l. Suppose -4*d + 3 + 1 = 4*u, 5*d + u - 17 = l. Suppose -20 = -2*n - f, 2*n - d = n + f. What is the smallest common multiple of 12 and n?
24
Suppose -5*y = -4*t - 6*y + 333, -3*t = -y - 241. Suppose -27*a + 161 + t = 0. Suppose 2*b = 5*b - 54. Calculate the smallest common multiple of b and a.
18
Let g be (2 + 0)*47/(-2). Let b = -2511/4 + 642. Find the common denominator of (2 + -1)*(g/2 + 3) and b.
4
Suppose 2*b = 350 + 1088. Let h = b - 701. What is the smallest common multiple of h and 426?
1278
Let y = -12867 + 12903. Calculate the lowest common multiple of 132 and y.
396
Let v(y) = 89*y - 21. Let p be v(1). Suppose 4*w - 246 = -2*a + p, -5 = -a. What is the least common multiple of w and 22?
836
Let i(p) = p**3 - 4*p**2 - 4. Let w be i(3). Let a = w - -19. Calculate the least common multiple of 2 and a.
6
What is the least common multiple of 296 and -26 + (2310 - -10)/1?
9176
Let h(p) = p**3 - 13*p**2 - 22*p + 17. Let k be h(14). What is the smallest common multiple of (9/(-2))/(15/(-20)) and 2/(k/25 + 4)?
30
Let u = 18/25 - 587/850. Let q be ((-990)/12)/(459/(-36)). Let b = q + u. Find the common denominator of b and -87/8.
8
Let f(q) = 9*q**2 + 52*q + 118. What is the least common multiple of f(-16) and 66?
17490
Let l be (-628)/5418 - 4/(-18). Let g = l + 10036/7525. Find the common denominator of -27/25 and g.
25
Suppose c - 9 = -7. Let a(k) = 4*k**3 - 4*k**2 + k + 3. Let q be a(c). Suppose 0 = 9*x - 6 - q. What is the least common multiple of 33 and x?
33
Suppose 18 = -s + 20. Let u(z) = 19*z - 15. Let j be u(s). Let n = j + -21. What is the least common multiple of n and 40?
40
Let k be 20/((-2)/(-24)*6). Calculate the common denominator of (2 + 761/(-352))/(6/k) and -49/2.
88
Suppose -7*m = 4*d - 2*m - 25, 5*d = m + 24. Suppose d*f - 2*l = 35, 45 - 52 = -f - l. What is the lowest common multiple of f and 11?
77
Let f = 121249/79959 + -3/2423. Calculate the common denominator of f and -50/273.
3003
What is the common denominator of 59/144 and (-30)/(-390) + 43/(-52) - 389/(-132)?
1584
Let r(z) = 6*z + 8. Let x(f) = -f**3 + 4*f**2 + 5*f - 16. Let q be x(4). Suppose 0 = -q*s - 0*s + 8. What is the lowest common multiple of 30 and r(s)?
60
Suppose 113*k = -470*k + 160133 + 283530. What is the least common multiple of k and 7?
5327
Let t be (4 + -14 + 0)*6/12