18
Let l be 8/2 + 154 - 1. Suppose 2*v - 3*v - 2*q = 41, l = -4*v - q. Let w = v + 49. Calculate the lowest common multiple of 3 and w.
30
Suppose 3*n - n = -4*d - 10, 5*d + 7 = 3*n. What is the common denominator of (-6)/20*((-242)/(-6))/n and 2/(-8) + (-170)/88?
110
Let d = 922 - -548. What is the least common multiple of 147 and d?
1470
Let u be 0 + ((-419804)/48)/11 + 1. Let s = u - -796. What is the common denominator of s and 51/76?
228
Suppose 4*p = 2*w + 220, 9*p - 2*w - 641 = -151. Calculate the least common multiple of 198 and p.
594
Let j = -48148123/492 + 97862. What is the common denominator of 40/111 and j?
18204
Suppose 12*w + 7*w = 57133 + 31673. What is the smallest common multiple of w and 7?
32718
Suppose -11*l + 3*l + 72 = 0. Suppose 2*b = 5*f - 2*b + 472, 0 = 2*f + 3*b + 198. Calculate the least common multiple of f/(-9) + (-6)/9 and l.
90
Let x be 141/(-6)*(-2 + 0)*1. Suppose n - 5*y = -x, 1 = -y - 1. Let v = -43 - n. Calculate the lowest common multiple of 10 and v.
70
Suppose -15882 = -30*q - 5262. Calculate the lowest common multiple of q and 36.
2124
Let f = 311 - 224. Suppose -5*y - b = -96, y + 2*b - f + 75 = 0. Calculate the lowest common multiple of 12 and y.
60
Suppose -1876 = -43*q + 38*q + 2*a, q = -3*a + 382. What is the least common multiple of q and 470?
1880
Calculate the lowest common multiple of (-12)/(((-3)/84)/(3/18)) and 168.
168
Let r(o) = -75*o + 38. Let h(b) = -25*b + 13. Let j(u) = 8*h(u) - 3*r(u). What is the lowest common multiple of 35 and j(1)?
105
Suppose 2*t - 32 = 3*t. Let z be 22/5 - (t/20 - -2). What is the lowest common multiple of 0 - 2/1*(-54)/z and 24?
216
Let b = 13 + -10. Suppose b*x - 417 = 117. What is the lowest common multiple of x and 16?
1424
Let q = 2857/4317 + 7/1439. What is the common denominator of -37/9 and q?
9
Let l be -5*(3 + (-24)/6). What is the common denominator of (l - (-351)/(-63)) + 482/280 and 163/42?
420
Let z = -37 + 44. Suppose 0 = -z*u + 3*u + 16. Suppose -4*o + 0*o + 5*i = u, 0 = 4*o + 4*i - 32. What is the smallest common multiple of o and 24?
24
Suppose -4*k + 1637 = -6*k - 5*o, 5*o + 5 = 0. Calculate the common denominator of 39/202 and ((-3)/1)/6 - k/128.
808
What is the common denominator of -115/56 and 2*(-136)/(-64)*(-5)/(-3395)?
5432
Suppose 13*y - 6264 = 4*y. Find the common denominator of 20/11 and 189/(-36) + 5 + (-250)/y.
957
Find the common denominator of ((8 - 18) + 455/40)/((-5)/6) and -29/470.
940
Let p be 378/(-1260) - (-163)/10. Let z(r) = 24 + 13*r - 17*r**2 + 0*r**3 + r**3 + 2*r. What is the lowest common multiple of z(p) and 9?
72
Suppose 4*s + 0*x - 27 = x, -4*s + 31 = 3*x. Find the common denominator of (-385)/88*s/5 and 2/4 - 15/(-16)*2.
8
Let n = 61637 - 1725825/28. Let l = -94495/4764 - -3/1588. What is the common denominator of n and l?
84
Suppose 35*d + 6*d - 2210 = 332. Suppose 0 = 3*c + 2*o - 20, 0 = -0*c + c - 5*o - 35. What is the least common multiple of c and d?
310
Suppose -b + 45 = 41, 3*s = -5*b + 26. Calculate the smallest common multiple of s and 228.
228
Let h(o) = o**3 - 11*o**2 - 30*o + 318. Let r be h(12). Suppose 0 = -5*c + 15. Calculate the common denominator of 93/8 and ((-4)/2 - -1)/(c/r).
8
Let z = 34 + -3. Suppose 0 = 2*f + 3*j - z - 5, f = -2*j + 18. Suppose -6*r + 60 = -r. What is the least common multiple of r and f?
36
Let v = 44082231/506 + -87119. What is the common denominator of v and -99/874?
9614
Let a = -6311/3 - -631099/300. Find the common denominator of -13/1980 and a.
9900
Calculate the common denominator of 14/67 and 4942/(-13132) + (-13)/(-26).
469
Let v = -116/2205 - -2/245. Calculate the common denominator of ((-1815)/22)/(-55)*88/54 and v.
45
Let r = -1115 + 456. Let n be (41/11 - -5)*678/9. Let o = r + n. Calculate the common denominator of o and 22/7.
77
Suppose 0 = -8*f + 181 - 13. What is the lowest common multiple of f and 693?
693
Suppose 14*l + 12*l - 312 = 0. Calculate the common denominator of 61/77 and (l - 0)/2 - (-77064)/(-13566).
1309
Let c = 94 + -59. Let n = c - 33. Suppose -4*q = -3*o + 79, n*o = 3*q + 85 - 31. Calculate the smallest common multiple of 12 and o.
84
Let m be (-3932430)/(-18)*(-11)/(-220). Suppose 5*x + 30861 = 85531. Let n = m - x. Calculate the common denominator of n and -35/6.
12
Suppose 431*z + 4*h + 2700 = 435*z, -2*h + 2050 = 3*z. Calculate the lowest common multiple of 340 and z.
680
Let c(o) = o**3 + 13*o**2 - 15*o + 20. Let x be c(-14). Let w be (((-8)/(-6))/2)/(5/15). Let s = w + x. What is the smallest common multiple of s and 9?
36
Let f = 5 + -3. Suppose -b - 23 = -f*h, h + 0*b - b - 12 = 0. Calculate the smallest common multiple of -8 + (-2 - ((-12)/27 - 3515/333)) and h.
11
Let s be (-6)/99*3143/(-98). Let k = s - 4/385. Find the common denominator of -111/10 and k.
30
Suppose 4*t + 2384 + 2241 = 5*h, 0 = -h - t + 934. Let k = 27739/30 - h. Let x = 58573/6 - 9779. Calculate the common denominator of k and x.
30
Let c(j) = 23*j**2 + j + 2. Let r(o) = o**3 + 24*o**2 - 28*o - 59. What is the lowest common multiple of c(2) and r(-25)?
96
Let i(q) = -429*q - 5206. What is the smallest common multiple of 70 and i(-14)?
5600
Calculate the common denominator of 101/558 and ((264/(-414))/(-11))/(23/((-1035)/310)).
12834
Let r = 72084599/114 - 632326. Let o = 139/152 + r. Calculate the common denominator of 29/42 and o.
168
Let w(l) = -l**3 - l**2. Let c be w(-2). Suppose 5*r = c*r + 18. Let p(a) = 2*a**2 - 248*a + 4884. Calculate the smallest common multiple of r and p(24).
252
Let j(a) = a + 25. Suppose 5*y - 15 = 0, -3*r + 60 = -0*y + 2*y. Suppose 4*u - 5*v + 65 = -u, 4*v = 2*u + r. Calculate the least common multiple of 14 and j(u).
56
Let s be 2037/(-450)*(-2 + 257/35). Let h = s - -7/375. Calculate the common denominator of ((-2)/88)/((-2)/292) and h.
66
Let i(u) = u**3 + u**2 - u - 1. Let b be i(0). Find the common denominator of 21/(-280)*-114*(-6)/(-9) and (-17*(-2 - b))/(-14).
70
Calculate the common denominator of -43/546 and 120/320 - (2154/(-784))/(-3).
3822
What is the common denominator of (-36)/(-12)*266/(-840) and -13/476?
2380
Let h = -64/7 - 235/21. Calculate the common denominator of -7 - -10 - 88/21 and h.
21
Let a(c) = 26*c + 280. Let i be a(-5). Suppose -5*r = 2*m - 261, -15*m - i = -3*r - 14*m. Calculate the lowest common multiple of r and 2/(-6) + (-46)/(-3).
255
Let g = 3 - 4. Suppose -2*j = 2*h - 34, -5*j = 2987*h - 2986*h - 53. What is the least common multiple of h and 4/g*5/(-2)?
40
Let r be 0 - ((-14224)/28735 + 2/5). Let j = r + 41497/73069. Let f = -7747/1068 - j. Find the common denominator of 28/15 and f.
60
Let x = 432 - -119. Suppose 5*w + p = x, 11*w - 10*w - 113 = -3*p. Calculate the lowest common multiple of 242 and w.
1210
Let d = -2478967586989/8514 + 291163684. Let v = -1/774 + d. Calculate the common denominator of v and (17/12)/(1/10).
66
What is the common denominator of 137/1002 and 8 - ((-1939)/(-28))/(9/2)?
3006
Let o = -380761/20 - -19043. Calculate the common denominator of -42/125 and o.
500
Let o(c) be the third derivative of 7*c**5/60 + 7*c**4/8 + 4*c**3/3 - 70*c**2. Calculate the lowest common multiple of o(-5) and 42.
546
Suppose 310513 = -6*b - 909995. Let a = 24410321/120 + b. Find the common denominator of -43/18 and a.
360
Calculate the smallest common multiple of 8 and ((-4)/8*-404)/1 + 6.
208
Suppose j + 47 = 4*v, -3*j + 51 = 45*v - 41*v. Calculate the smallest common multiple of 4 - (226/(-14) + 7/49) and v.
60
Let p be 2/(-3)*(-30)/(10/2). Let u be (-150)/18 + p/3. Find the common denominator of 23/4 and (174/(-66) - -2)*u.
44
Suppose -4*s - 2902 = -3*s. Let m = s + 31969/11. Calculate the common denominator of m and ((-4 + 1)*(-2)/(-6))/(-144 + 139).
55
Suppose -4*s + 5*s + 39 = -j, 5*j + 4*s = -196. What is the common denominator of 81/140 and 4*j/256 - (-4)/14?
280
What is the common denominator of 32/225 and -9 + (4521/(-72))/((-360)/48)?
900
Let y = 52333/32 - 1634. Calculate the common denominator of 354/(-168) + 2/(-7) and y.
224
Let i(t) = -t**3 - 3*t**2 + 4*t - 3. Let y be i(-4). Calculate the lowest common multiple of (-8)/12 + 230/3 and -6*((-2)/y)/(4/(-6)).
228
Let m = -1 - -11. Suppose 6 = o - m. Suppose -9*y = -3*y - 108. What is the least common multiple of o and y?
144