culate the smallest common multiple of 117/((-702)/(-18812)) - (-2)/3 and 192.
9408
Calculate the common denominator of -25/6 and (60439/(-5491) - (-10 + -1))/(60/369).
8670
Suppose 0 = 4*i - 20, 2*z - 4*i + 44 = -z. What is the smallest common multiple of 160 and (1 - 6/z) + 9/36?
160
Calculate the common denominator of -43/46 and (7*(-297)/(-50904))/(9/84).
4646
Suppose -d = -4*p - 5, p = -5*d + 7*d - 38. Let q(l) = -3*l**2 - 23*l + 10. Let u be q(-7). What is the least common multiple of d and 6/u + (-14)/(-8)?
42
Let s = -131 + -306. Let l = 807 + s. What is the lowest common multiple of l and 2?
370
Let b be -10*(25/(-10015))/5. Let x = b - 246469/20030. Find the common denominator of x and (-17)/3*9/42.
70
Let y(b) = -b - 24. Let f be y(-10). Find the common denominator of 17/24 and 161/21 + f + 9.
24
Calculate the common denominator of (936/108)/(1 + 1) and -103/1490.
4470
Calculate the common denominator of (-1 - 1)/(1288/176 + -7) and ((-5)/1010)/(2/104).
707
Let t(b) = 2*b - 8. Let y(q) = 6*q - 23. Let w(a) = 11*t(a) - 4*y(a). What is the least common multiple of w(-6) and 32?
32
Let l = 2611/46 - 89291/1518. Calculate the common denominator of l and ((-86)/8)/((-6)/(-8)).
33
Suppose 18*t = 5*s + 16*t - 38, 0 = -4*s + t + 31. Suppose 17*c - 6*c = 198. Calculate the smallest common multiple of c and s.
72
Let w(k) = 8*k**2 + 39*k + 1. What is the smallest common multiple of 748 and w(-5)?
2244
Let d = 2756 + -2156. Calculate the lowest common multiple of 8 and d.
600
Find the common denominator of 13/345 and (-1516704)/(-202860) + 30/(-4).
4830
Let a(x) = x**2 - 16*x + 52. Suppose 228 = o + 18*o. Suppose -2 = h - 6. What is the lowest common multiple of h and a(o)?
4
What is the common denominator of 35/732 and ((-1)/1)/((-60)/24) + 20961/(-60390)?
8052
Let b(f) = f**2 + 8. Suppose 0 = -y - 3*y + y. Let a be b(y). Suppose -5*r - 4*p = -11 - a, -3*r = -5*p - 4. Calculate the least common multiple of 3 and r.
3
Let a = 51709551217921/861235245 - 1/26499546. Let k = a + -60042. Calculate the common denominator of k and 6/13.
130
Let q(m) = m + 68. Let s be q(-24). Suppose 0 = -c + 4*u + s, 0*c - c + 5*u = -48. What is the least common multiple of c and 63?
252
Let s = -49622 + 49637. What is the least common multiple of ((-16)/(-10))/(4/50) and s?
60
Let l = -25106/15 - -1673. Let m = -4/2207 + -121337/26484. Find the common denominator of l and m.
60
Let w be 200858/(-144) + 2 + (-3)/27. Let j be (16588/(-8))/(6/(-4)). Let c = w + j. Calculate the common denominator of -31/3 and c.
24
Let n be (-689)/2 + 40/16. Let l = 345 + n. What is the least common multiple of 30 and l?
30
Let q = -1507 + 2515. What is the lowest common multiple of 1008 and q?
1008
Let o(z) = 376*z - 2214. What is the lowest common multiple of 24 and o(6)?
168
Let k = 408 - 378. Let m(a) = 11*a - 12. Calculate the lowest common multiple of k and m(3).
210
Suppose -o - o + 24 = 0. Suppose -5*a - 12 = -3*r, 5*a = 3*r - 4*r + 4. Suppose 0 = 5*p - 106 - r. Calculate the smallest common multiple of o and p.
132
Let b(l) = l**2 - 8. Let y be b(4). Suppose 0 = -4*d + y*d - 16. Calculate the smallest common multiple of 2 - 1 - 9/(-1) and d.
20
Let v = 52 + -20. Suppose 15*k + 31 = 5*m + 12*k, -4*k = -5*m + 28. What is the least common multiple of v and m?
32
Let l = 142975/33 - 4334. Let b = -75356152283/1764 - -42718906. Let x = b + -17/147. What is the common denominator of x and l?
396
Let b = 201761417/920 + -219306. What is the common denominator of b and 17/40?
920
Suppose 735 = 10*a - 225. What is the least common multiple of a and 528?
1056
Suppose -276 = r + 4*y, 4 = 5*y - 4*y. Calculate the common denominator of 37/76 and -3 + 9 + r/32.
152
Suppose -4*t + 15 = -z + 7, 0 = 3*t + 4*z + 13. Calculate the common denominator of 35/51 and (t - -9)/((-287)/49 + 5).
51
Let c be (-2)/1 + (-226135)/50. Let h = -4531 - c. What is the common denominator of h and -3 + ((-582)/(-84) + -7)*37?
70
What is the common denominator of (-8)/10*((-9 - (-4)/76) + 9) and -53/60?
1140
Let h = 108250 + -3030357/28. Let m = -2826413/28 + 100928. Let a = h + m. Find the common denominator of -1/28 and a.
28
Let i = -81 + 185. Let f = 119 - i. What is the least common multiple of 6 and f?
30
Suppose 2*q = 5*o - 40 - 28, 4 = -o. Let z = q - -39. Let k = 14 + z. Calculate the least common multiple of 1 and k.
9
Let y be 1789/193*(-42)/(-105). Let j = y - 3/386. Calculate the common denominator of j and 47/24.
120
Let g = 9617/4 - 2426. Find the common denominator of 73/656 and g.
656
What is the common denominator of (-2)/(-4)*(-2562)/(-3538) and -101/772?
22388
What is the common denominator of -85/162 and ((-2712)/(-432))/(((-20)/(-3))/(-5))?
648
Let v(h) = h**2 - 133*h - 2002. What is the lowest common multiple of 140 and v(-28)?
25060
Suppose -10*n + 121 = n. Suppose -5*k = -3*t + 46, 2*t - 3*k - n = 20. Calculate the least common multiple of 2 and t.
34
Let b = -6/4711 + 231901/833847. Calculate the common denominator of b and 1/472.
1416
Suppose f - 315 = -3*x, 298 + 35 = f - 3*x. Calculate the smallest common multiple of 1026 and f.
6156
Suppose 8*b - 12*b = -1929 + 209. What is the smallest common multiple of 5 and b?
430
Let x be 13238/3 + ((-1330)/(-19))/10. Let n be (-2)/(-5) + (-132669)/(-30). Let w = n - x. What is the common denominator of w and -1/9?
90
Let u be 9/(-2)*(-6)/9. Suppose u*t - 5*f = 9, -17*f + 15*f = 0. Calculate the smallest common multiple of 358 and t.
1074
Let m = -226015/70536 + -12/2939. What is the common denominator of m and -31/78?
312
Let i(s) = -3*s**3 + 12*s**2 + 8*s - 29. Calculate the least common multiple of 13 and i(4).
39
Suppose 3*v - 2*p = 37 + 217, -5*p = 5. Find the common denominator of 32/18 + 3/(-18) - 1 and ((-18)/(-20))/(v/(-350)).
36
Suppose 5*n - 76 = 29. Suppose -n = -4*c + 35. Suppose -3*t + 4*r + 54 = 0, 63*t + 5*r = 61*t + 36. What is the least common multiple of t and c?
126
Let m = -267972/55 - -4871. Let w = -64848 - -3242363/50. Calculate the common denominator of w and m.
550
Let a(j) = -j**3 + 8*j**2 - 6*j - 10. Let p = -171 + 176. What is the least common multiple of a(p) and 11?
385
Let s = 1155 + -9175/8. Let r = 10665745 + -14292100447/1340. Let m = r + 7/134. Calculate the common denominator of s and m.
40
Suppose g - 75*r + 73*r = 674, 5*g + r = 3359. What is the least common multiple of 105 and g?
3360
Let r(u) = -103*u + 135. Calculate the least common multiple of 3088 and r(1).
6176
Calculate the lowest common multiple of (-4)/9*3879/(-862) and 6588.
6588
Suppose 0 = -5*v - 2*l + 237, -4*v + 4*l + 185 = -27. Let j = v - 39. What is the least common multiple of j and -2 - -23 - 1/(-1)?
110
Let l = 14 - 234/17. Suppose -2*v - 109 - 35 = 0. Find the common denominator of (1*(-9)/12)/(15/v) and l.
85
Suppose 0*h + 2*y + 82 = -h, -2*y = 2*h + 166. Calculate the common denominator of (-21)/27*384/h and 15/7.
63
Let w(d) = d**2 - 31*d - 338. Calculate the smallest common multiple of w(-9) and 12.
132
Let v = -239 - -243. Suppose -v*g + 70 = -2. What is the smallest common multiple of g and 54?
54
Suppose 4*i - 5 = 3*t + 5, -i = -t - 1. What is the least common multiple of 4995 and t?
9990
Suppose -x + 1740 = 173*x. Calculate the lowest common multiple of x and 60.
60
Let p = -310 + 425. What is the smallest common multiple of p and ((-75)/(-9))/(-1 - (-7)/6)?
1150
Let n be -1 + -2*(-1)/2 + -16. Let f(o) = -o - 7. Let r be f(n). What is the smallest common multiple of (-81)/(-7) + (r/(-7))/(-3) and 14?
84
Suppose -j + 435 = 4*n, 4*n - 31*j = -35*j + 420. Let t = n + -106. What is the smallest common multiple of t and 8?
8
Let a(i) = 56*i + 1853. Calculate the smallest common multiple of 128 and a(-33).
640
Let k be (-4)/(-30) - 78871130/8100. Let q = 9737 + k. Let s = 15729 - 314497/20. Calculate the common denominator of q and s.
1620
Let n = -318 + 1895/6. Let a = -58313 + 2973932/51. Calculate the common denominator of a and n.
102
Let y(k) = -4*k - 2. Let v be y(-2). Suppose -v*s = -0*s - 18. What is the lowest common multiple of 1 and 39/s*2 - (-18)/(-6)?
23
Let s be (-1632860)/50*-2*(-2)/(-189840). Let b = 368/791 + s. Find the common denominator of b and -39/55.
1650
Let b(q) = 758*q - 6039. Let z = -22 - -42. Calcu