Let i = -103 + 67. Calculate the common denominator of 25/24 and (-6)/i - (2 - 788/120).
120
Let g = -10 + 37. Let r(j) = j**3 - 2. Let z be r(2). Suppose -z*d - 4*o + 116 = -2*d, -3*d + 3*o + 93 = 0. What is the smallest common multiple of d and g?
270
Let f be 3 - 10 - -1 - 1851. Let n = f + 102139/55. Find the common denominator of n and 62/45.
495
Let x be (-6)/((-3)/(1*(-1 - 2))). Find the common denominator of -2/15 and 2/x + (-4191)/(-198).
30
Let v be 167217*78/22572 + 4/(-3). Let w = 10974/19 - v. Find the common denominator of -167/120 and w.
1320
What is the common denominator of -121/24 and (-2)/426*8673/(-588)?
1704
Suppose 106*z + 5148 = 4*t + 107*z, 3*z = 0. Calculate the least common multiple of t and 9.
1287
Suppose 5*m - g - 13 = 34, -2*g - 4 = -m. Suppose 2*n + 2 = 14. What is the smallest common multiple of m and n?
30
What is the common denominator of ((-4 + 5)/(-1383))/((-18)/1179) and 149/12?
5532
Let m be (-3095)/(-50) - 5/(-50). Let p = 42 - m. What is the common denominator of 24/7 and p?
7
Find the common denominator of 61/198 and 60*8/384 + (-1582)/1056.
1584
Calculate the common denominator of 101/72 and (3 - (-2952)/(-896))/((-9)/44).
504
Let u be (-4)/(-12)*4*-3. Let l(d) = -d**3 - 2*d**2 - 4*d + 6. What is the least common multiple of 33 and l(u)?
594
Let a be 2/(3 + -5) + -1198. Let s = a - -6031/5. What is the common denominator of s and (45/126)/((-4)/88)?
35
Suppose 9*g = -61 + 466. Suppose 4*w - 5*d + 10*d - 13 = 0, -4*d + 17 = w. What is the common denominator of (w - (-70)/24)*(1 + g) and -21?
6
Let d = 12874 + -12860. Calculate the smallest common multiple of 168 and d.
168
Let l(s) = 14*s + 59. Let f be l(-4). Suppose -f*n + 930 = 858. What is the least common multiple of 114 and n?
456
Suppose 5*w + 4590 = x + 2, 929 = -w + 4*x. Let l = w + 4544/5. Calculate the common denominator of l and (1 + -10 - -1) + (35 - -2).
5
What is the smallest common multiple of 144 and -3*(527*17/(-68) + (-1)/4)?
1584
Find the common denominator of (-9)/(-168)*(-15)/((-26325)/36) and 15/7.
910
Let w = -16/5985 - 13582/676305. What is the common denominator of -47/904 and w?
6328
Let r be -12*(-6)/(-4)*687/(-2). Let n = 10184 + r. Let f = n - 343774/21. What is the common denominator of f and 40/3?
21
Let d = 17652 - 17643. Let o = 7 + -4. What is the smallest common multiple of d and o?
9
Suppose -4*q + 0*q + 40 = 0. Let l be (-576)/(-180) - 2/10*-4. Suppose 15*u - l*j = 14*u + 6, 0 = 2*j - 8. Calculate the least common multiple of q and u.
110
Suppose -3*b - 11 - 16 = 0. Let t be ((-6)/b)/((-2)/(-129)). Let v = t - -7. What is the lowest common multiple of 7 and v?
350
Let b = 83217141/10 - 8313566. Let f = -8159 + b. Calculate the common denominator of ((-176)/(-22))/(5/40*-4*18) and f.
90
Find the common denominator of 5 - (-17 - -22 - (-1)/(-99)) and 2 - 5 - 268/(-90).
495
Let y = -1 + 3. Suppose -3*h = 4*w + 40, -4*h - 4*w = h + 56. Let d(b) = -2*b**3 - 14*b**2 + 13*b - 2. What is the lowest common multiple of d(h) and y?
22
Let p = 90 + -22. Let i = 1440 + -1436. What is the least common multiple of p and i?
68
Let u be 3/(-5*4/160). Let x = -26 + 7. Let q = x - u. Calculate the least common multiple of q and 28.
140
Let b = -1445 + 12968/9. Let g(z) = 3*z + 73. Let x be g(-25). What is the common denominator of b and 0/4 - (x - (-28)/(-36))?
9
Let x(h) = 2*h**3 + 3 + 5*h - 13*h**3 - 4*h - 2*h**2 + 7*h**3. Calculate the least common multiple of 72 and x(-3).
360
Let l(a) = 2*a**3 + a**2 - 3*a + 62. Let n be l(0). Suppose n - 74 = -w. What is the least common multiple of w and 4?
12
Let w = 736422 - 618594551/840. What is the common denominator of -71/600 and w?
4200
What is the smallest common multiple of 18/4*(-18 - (-77 - -3)) and 420?
1260
Let p = -426/625 + 539164/836875. What is the common denominator of p and -43/117?
12051
Let q = -9367/2443 + -8/349. Calculate the common denominator of 157/30 and q.
210
Let u(y) = -20*y**2 - y + 21*y**2 + 3 - 20*y. What is the least common multiple of 150 and u(21)?
150
Let m = -29 - -29. Suppose m = -83*z + 88*z - 700. What is the lowest common multiple of (-3)/((-82)/z + (-12)/(-42)) and 8?
40
Let s(m) = -10*m - 28. Let b be ((-3)/(-6))/(-1) - (-49)/(-14). Let f be s(b). Let h(l) = -2*l**2 + 24*l + 14. What is the least common multiple of h(f) and 12?
84
Let a(z) = -2*z**2 - 17*z - 1. Let j be a(-12). Let k = j + 109. What is the least common multiple of 40 and k?
120
Suppose 4*h = 6*h - 3*f + 310, 0 = 2*h + 3*f + 322. Let b = h + -37. What is the common denominator of 33/2 and (3/b)/(4/290)?
26
Suppose 5*c = c. Suppose 3*z + 2 - 17 = c, -2*f = 5*z - 57. What is the common denominator of 21/20 and ((-1273)/38)/(-2 + (f - 1))?
260
Calculate the smallest common multiple of 70 + -12 + 7 + 9/1 and (17/34)/(2/24).
222
Calculate the common denominator of -3 - 0 - (-1146)/270 and 649/22*7/(-14).
180
Let f(z) = -2*z**3 + 1. Suppose 2*d = 4*y + 16, 22*d + y - 11 = 20*d. Calculate the least common multiple of f(-1) and d.
6
Let g = -32 - -46. Let d = -2263154/71 - -31876. Calculate the common denominator of 0 - (9 + -2 + (-4)/g) and d.
497
What is the common denominator of -9 + (6194/513 - 3) - 9102/2592 and (2/45)/((-36)/2235)?
432
Suppose -59*f + 53200 = 99*f - 58*f. Calculate the least common multiple of f and 308.
5852
What is the smallest common multiple of 12 and -8 + (36/15)/(6/3400)?
4056
Let q = -8187 + 9033. Calculate the least common multiple of q and 18.
846
Find the common denominator of 6/39 - (-94400)/(-1137500) and 115/28.
3500
Suppose -41*c + 499*c + 6193 - 17185 = 0. Calculate the least common multiple of 2528 and c.
7584
Suppose -m - 8 = -26. Let s(w) = -2*w**2 - 195*w + 155 - 316 + w**3 + 179. Calculate the smallest common multiple of m and s(15).
18
Let c = -4472 + 4744. What is the smallest common multiple of 96 and c?
1632
Calculate the common denominator of 104/(-720)*(6 + -9) and 67/90.
90
Let g = 338286 + -855186997/2528. Find the common denominator of 119/1896 and g.
7584
Let f(a) = 12913*a - 13. Let j(x) = -1. Let y(d) = f(d) - 4*j(d). Let z be y(-1). Let n = z - -232691/18. Find the common denominator of 11/10 and n.
90
Let n = -73101 + 5117193/70. What is the common denominator of (-1)/20*(77 + 2 + -5) and n?
70
Let h(t) = 3*t**3 - 4*t**2 + t + 7. Let r = 1669 + -1649. What is the lowest common multiple of r and h(3)?
220
Let l = 10861/8 + -1352. Let j = -198961/6 - -33164. What is the common denominator of l and j?
24
Let s = -45 + 54. Calculate the common denominator of -85/48 and (8/(s + -57))/(7/(-127)).
336
Let h(z) = 698*z - 4890. What is the common denominator of -93/140 and h(7)?
140
Suppose -x - 48 = -36. Calculate the lowest common multiple of 36 and (6 - 200/30)*x/2.
36
Suppose -749*s = -847*s + 11368. What is the least common multiple of 667 and s?
2668
Let k = -10364 + 93616/9. Let z = 9523/252 - k. Calculate the common denominator of -59/4 and z.
84
Let l(u) = -2*u - 4 - 8*u**2 + 4*u**3 - 5*u**3 + u. What is the least common multiple of l(-8) and (4500/3750)/((-6)/(-10))?
4
Suppose 7043*d = 7049*d - 3888. What is the least common multiple of d and 270?
3240
Calculate the common denominator of (-1835)/450*-3 + (-20 - -9) and 65/171.
1710
Let j = 8444 - 8437. Calculate the lowest common multiple of j and 479.
3353
Let t = -7 + 36. Suppose 11457 = -82*x + 44913. Calculate the least common multiple of t and x/(-510) - 9/(-5).
29
Let r = -3 + -42. What is the common denominator of (661/210 + (-18)/r)/(-2) and 4*3/(-18) + 2?
84
Suppose r + 4*r = 45. Let n be (-2)/r - (-78646)/(-792). Let a = n - -894/11. What is the common denominator of 73/4 and a?
4
Suppose 3*j - 5*f = -j - 13941, -2*j - 5*f = 6933. Let s = j - -1438. Let i = s + 22469/11. Calculate the common denominator of i and 65/4.
44
Let a(j) = -j**3 - j**2 + 6*j - 12. Let n be a(-4). Let c be (-1)/((-1)/n)*-1. What is the common denominator of ((-2)/c)/((-45)/(-279)) and 20/7?
210
Let a = -24427/62188 + -1/15547. Calculate the common denominator of a and 19/84.
84
Let i = 2/51811 - 1813559/4507557. Find the common denominator of 49/145 and i.
435
Let n(s) = -154*s + 4. Let m be n(-1). Let r = -128 + m. What is the lowest common multiple of r and 10?
30
Let d = -808099/24 - -33665. 