 is the common denominator of 33/91 and (-44)/90 + (-16)/144 + 59/(-260)?
364
Let u = -115 - -275. Calculate the common denominator of ((-710)/u*6)/(3/(-4)) and 113/530.
530
What is the common denominator of ((-298)/96)/((-91)/182) and -9/1280?
3840
Suppose 2*r = 3*c + 919, -2*r + 3*c + 2284 = 3*r. Let o = 499 - r. Calculate the smallest common multiple of 96 and o.
1056
Calculate the common denominator of -151/18 and (-154377)/25542 - -8*3/4.
8514
Let g(s) = -s + 47. Let l be g(21). Calculate the smallest common multiple of 34 - l - 1*-2 and 25.
50
Suppose -r = 32 + 28. What is the common denominator of 23/28 and 715/r*4/(-4)?
84
Suppose 7 = -4*h - 17. Let c be h/(-72)*6 + 60866/4. Let x = c + -273763/18. Calculate the common denominator of x and -73/6.
18
Suppose -4*v = -2*q - 258, q - 123 = -11*v + 9*v. Find the common denominator of (-3 - (0 + -2)) + v/1155 and 97/120.
1320
Suppose 36 = -4*a + 3*y, -3*a - a = y + 20. Calculate the common denominator of -72*-1*2/4 and (48/(-68))/a + (-3057)/(-459).
9
Let d = -114811/24 - -4780. Let n be (-2 + (-61433)/(-30714))*(-3547521)/45. Let a = n + 1/5119. Calculate the common denominator of a and d.
24
Suppose 2*b + 5*v - 69 = 0, 5*b - v - 187 = v. Let o = b - 9. Suppose -79 = -324*c + 213 + 1004. Calculate the least common multiple of c and o.
28
Let n(a) = -2581*a + 58. Let j be n(4). Let v = j + 102773/10. Find the common denominator of ((-39)/3)/(10/(-35)) and v.
10
Let x be (-1 - (1 + -1))*0. Find the common denominator of x/1 - (-136)/(-400) and -53/26.
650
Let y = -31 + 43. Let j(o) be the second derivative of 10*o**3/3 + o**2 - 9*o. What is the least common multiple of j(1) and y?
132
Let d(z) = 2*z**3 - z**2 - 1. Let q(r) = r**3 + 3*r**2 + 11*r - 6. Let s(g) = d(g) - q(g). What is the smallest common multiple of s(6) and ((-28)/6)/(4/(-18))?
231
Let s = -1565289/64 - -24457. What is the common denominator of -35/16 and s?
64
Suppose -4*s - 74 = -4*o - s, -s + 82 = 4*o. Suppose -106 = -5*y - 3*m, -5*y + 18 + 74 = -4*m. Calculate the lowest common multiple of y and o.
20
What is the common denominator of ((-834)/4)/(10800/120) and 103/966?
9660
Suppose 21 = 17*t - 30. Suppose 5*i + 4*h = 2*i - 11, -t*i - 16 = 5*h. Calculate the smallest common multiple of i and 47.
141
Let f(q) = q**3 + 12*q**2 + 19*q - 6. Suppose -63 = -5*n - z, z - 2*z - 2 = 0. Suppose 4*c = 45 - n. What is the lowest common multiple of f(-7) and c?
424
Let w = 10031/16 + -5049/8. Find the common denominator of ((-596)/(-144))/((-3)/6) and w.
144
Let p = 673/460 + -11719/11500. Find the common denominator of -83/1450 and p.
7250
Find the common denominator of 8/4 + ((-29)/(-6))/((-176)/165) and 17/972.
7776
Let d(m) = -27*m**2 + 2*m - 26 + 28*m**2 - 4*m + 3*m. Let a be d(0). Let x = -10 - a. What is the lowest common multiple of 4 and x?
16
Let a be (57 - -1)*2/4. Let x = 74857/19054 - 1/9527. Find the common denominator of x and 2/32*(a + 0).
112
Let m = 13110 - 12912. What is the lowest common multiple of 630 and m?
6930
Let h = 57727 - 30652973/531. Calculate the common denominator of h and 29/51.
9027
Let o = -116425/154 - -5300/7. Let w = 647007/633430 + -1/180980. Calculate the common denominator of o and w.
1540
Let g(w) = w**3 - 7*w**2 - 18*w + 22. Suppose 0 = -2*h - 6*h + 72. What is the least common multiple of 76 and g(h)?
836
Suppose -3*j + 276 = -7*j. Let r = -107171/186 - -576. What is the common denominator of r and (-4)/8*j - 2?
186
Let n(m) = m**2 + 82*m + 1709. Calculate the smallest common multiple of 21 and n(-34).
231
Suppose -80*s - 5*s + 0*s + 1360 = 0. Suppose 0 = 5*m - 277 + 77. What is the smallest common multiple of s and m?
80
Suppose 2799 - 79 = 10*h. What is the smallest common multiple of h and 153?
2448
Let y = 30 - 57. Let r = 820 + -819. What is the least common multiple of -1 + (-1)/(3/y) and r?
8
Suppose 183 = p - 2*t, 2*t - 149 - 493 = -4*p. Calculate the least common multiple of p and 205.
6765
What is the common denominator of (-21)/(1260/24) - (-3 - 2155/450) and 23/12?
36
Let j = -7752846/23 - -212354039/644. Suppose 5*i + 13 = -12, 0 = 5*z + 2*i - 36700. Let b = j + z. Find the common denominator of 101/20 and b.
140
Find the common denominator of 4/(-24) + (-8474)/(-37677) and -37/8.
5288
Let l be 408/64 + -1 + (-5)/(-8). Find the common denominator of -107/18 and (l/116)/((-115)/(-175) + -1).
2088
Suppose -4*k = 5*i, 2*k - 6*k = 4*i. Suppose -h - 114 + 348 = k. What is the lowest common multiple of h and 8?
936
Calculate the common denominator of ((-3)/48)/(12/(-316)*(-1022)/(-21)) and -55/14.
16352
Let o = 57747/22 - 2621. What is the common denominator of -13/2114 and o?
23254
Let p(m) = m**2 + 3*m - 49. Let n be p(-11). Let b = -2827/630 - -184/63. What is the common denominator of b and (n/(-63) + 1)/((-3)/(-7))?
90
What is the common denominator of -69/52 and 16/280 + 23470/36400?
104
Let g = -8385/11 - -469569/616. What is the common denominator of g and 59/1232?
1232
Let g = 3657 - 3557. What is the lowest common multiple of g and 30?
300
Let s = -3554473/3624 - -23581/24. Let h = -854799/482596 + s. Find the common denominator of h and -37/14.
11186
Let s be 58 - (-8 + (5 - 3)). Let l = 67 - s. Calculate the smallest common multiple of l and 12.
12
Let r(w) = -w**3 + 9*w**2 - 2. Let t be r(9). What is the common denominator of (3 - -8)/(72/(-6 - t)) and -39/44?
396
Let i(n) = 13*n + 44. Let a be i(-5). Find the common denominator of 115/12 and -1 + ((-692)/384 - 7/a).
96
Suppose 3*n - 95 = -t, 2*t + 1153*n = 1152*n + 200. What is the lowest common multiple of t and 6?
606
Let n(g) = 17*g**2 - 32*g + 199. What is the lowest common multiple of n(-8) and 1?
1543
Let l = -7290 + 7314. Calculate the least common multiple of l and 5/((-5)/(-2)) - -26.
168
Let b(v) = -4*v - 47. Let r be b(-11). Let y(u) = 3*u + 15. Let g(k) = k**2 - 18*k - 38. What is the least common multiple of y(r) and g(20)?
6
Let k be 18/(-45)*15/(-7)*-7. Calculate the lowest common multiple of 4 and k/36 + (-1281)/(-18).
284
What is the lowest common multiple of 352 and ((-87)/(-116))/(2/8 + 0)?
1056
Let x(i) = -i + 8. Let q = 23 + -20. Let v = -16 + 34. Calculate the lowest common multiple of x(q) and v.
90
Suppose 4*l + 4*h = 8*l - 268, -3*l = 2*h - 196. Let c = -26016 - -780347/30. Calculate the common denominator of c and (2/5)/(l/350).
330
Let x = -5695/154 - -517/14. What is the common denominator of x and -149/528?
3696
Let w(r) = -375*r - 14. Let t be w(1). Let m = t - -451. Calculate the smallest common multiple of 14 and m.
434
Let j(p) = 2*p**3 + p + 2. Let k be j(-2). Let n = -8 - k. Let u(g) = -2*g + 20. What is the least common multiple of u(n) and 24?
24
Let q = 5294 + -5234. Calculate the least common multiple of q and 132.
660
Calculate the smallest common multiple of (-621222)/(-1617) + 4/(-22) and 36.
1152
Let u be 38 + ((-36)/84 - 34/(-14)). Suppose u = 4*b - 4. Calculate the lowest common multiple of b and 11.
11
Suppose 4*j + 24*t - 25*t - 125 = 0, -3*t = 2*j - 87. Let i(c) = c + 6. Let m be i(-9). Let x = 15 + m. Calculate the lowest common multiple of j and x.
132
Suppose -9 = 2*c - 31. Let m(h) = h - 7. Let s be m(3). Calculate the least common multiple of c and 5/((-18)/(-24) + (-1)/s).
55
Suppose -11*s - 4359 = 4056. Calculate the lowest common multiple of 9/(-21) - s/21 and 48.
144
Let y(q) = 3*q**2 - 28*q - 629. Calculate the lowest common multiple of y(29) and 6.
3246
Let m = 413 - 408. Suppose -4*f = 3*w - 2*f - 89, -m*w - 3*f + 147 = 0. Calculate the smallest common multiple of 15 and w.
135
Suppose 103 = 5*v + u, 0*u + 3*u = 5*v - 91. Let a(t) = t**2 - 5*t - 28. What is the smallest common multiple of a(9) and v?
40
Let n be (-38)/57 - (-1447)/(-3). Let c = 563 + n. Calculate the smallest common multiple of c and 9.
720
Suppose 0 = 3*h + 4*x + 257, -4*h - 51*x - 352 = -48*x. Calculate the least common multiple of 13/h - 11007/(-21) - 4 and 22.
5720
Suppose -u + 822 = 3*h - 234, 0 = 2*u - h - 2112. Suppose 5*m - 29*m + u = 0. Calculate the lowest common multiple of 20 and m.
220
Let r = -5/1099 - -65006/36267. Let u = -7751 + 85267/11. Calculate the common denominator of u and r.
33
Let o = 61038 - 1648954/27. Let p = 3295/108 + o. Find the common denominator of 37/36 and