140
Let q = -1700352/455 - -18687/5. Find the common denominator of -125/6 and q.
546
Let z be (-580)/(-12)*(-176)/(-10). Let o = z - 826. Calculate the common denominator of ((-3)/7)/((-675)/189) and o.
75
Let t be (-2)/1 - (-3 - 16)*2. Let d = -9 + t. Calculate the lowest common multiple of (2/(-5))/((16/90)/(-8)) and d.
54
Let m = -1023/28 + 408/7. Suppose 0 = q + 10 + 32. Find the common denominator of (45*3/q)/6 and m.
28
Let u = 1932353/159368 + -2/19921. Let w = 1375 + -10991/8. Calculate the common denominator of w and u.
8
Let p = -8781 - -17597/2. Calculate the common denominator of 11/7528 and p.
7528
Let w = -1 + 6. Suppose w*d = -4*y - 395, 3*y + 3*d - 8*d + 340 = 0. Calculate the common denominator of y/(-42)*1/1 and 63/32.
32
Suppose -3968 = -7*q - 3870. Suppose -t - 2*t - 4*u = -13, -2*u = 2*t - 10. Suppose -5*p + t*p - q = 0. Calculate the least common multiple of 4 and p.
28
Let w = -20 - -2708/135. Calculate the common denominator of w and 157/30.
270
Calculate the common denominator of 434/80*888/(-2072) and -79*(0 + 1/(-16)).
80
Let r(k) = 10*k**2 + k + 1. Suppose 0 = 16*p + 109 - 512 + 275. Calculate the lowest common multiple of r(-1) and p.
40
Let s = -2/25505 + 464343/1938380. Find the common denominator of s and -11/380.
380
Let b(j) = 15*j - 62. Let v be b(4). Find the common denominator of 73/18 and (2492/567)/1 - (-8)/v.
162
Suppose -3*d = -1165 - 545. Calculate the lowest common multiple of 228 and d.
1140
Let y be 0/1*3/(-6)*-1. Suppose y = 3*m - 5*o + 18, 3*o = 5*o. What is the common denominator of -15/2 and ((-101)/25)/((48/20)/m)?
10
Find the common denominator of ((-2657)/(-885) + -3)/(62/(-2604)) and -41/708.
3540
Let s = -455 - 87. Let y = s + 548. What is the smallest common multiple of 30 and y?
30
Let p(j) = 12*j - 6. Let k be p(-9). Let q = k + 403. Calculate the common denominator of -21/2 and q/85*10/(-4).
2
Let j be (-5 - 337)*(-2)/(-3). Let i = 231 + j. Calculate the lowest common multiple of 18 and i.
18
Suppose 5*r + 31 = 3*z, 49 = -2*z + 6*z + r. What is the least common multiple of 2/4 + 2145/78 and z?
84
Let h = -10/11901 - 68997/1293242. Calculate the common denominator of h and -14.
978
Let x be 1/1 - (-81 - -2). Find the common denominator of (-4)/x*(-8550)/(-432) and -17/192.
192
Let t = 290 - 306. Calculate the common denominator of ((-642)/t)/(11 - (-3)/12) and -40/11.
330
Suppose 55*h - 4099 - 2481 = -180*h. What is the least common multiple of h and 77?
308
What is the lowest common multiple of (3261 - -4) + -3 + 23 and 3285?
3285
Let l(w) = 5*w**2 - 125*w + 67. Let n be l(49). Let g = n - 130857/22. Find the common denominator of -17 and g.
22
Suppose 3*p - 870 - 273 = -5*f, -4*p - 5*f = -1529. Let v = p - 234. Calculate the lowest common multiple of 8 and v.
152
Let r be (0 + (-34)/6)*-6. Suppose -40*n - 220 = -50*n. Calculate the least common multiple of n and r/4 - 1/2.
88
Let s = -25449 + 25467. Suppose -4*k + 3*k = -d, 4*d = 5*k - 3. Suppose -2*u = -5*p - 8, -d*u + 7*u - p - 16 = 0. What is the least common multiple of s and u?
36
Let n = 74985 + -18896267/252. Find the common denominator of 101/36 and n.
252
Let h(a) = 0*a + 2*a**3 - 5 - 6*a - a**3 + 5*a**2 + 3*a. What is the lowest common multiple of (-12804)/(-495) + 2/15 and h(-5)?
130
What is the common denominator of ((-485)/90)/((-1675)/(-15)) and 87/4?
4020
Let y = -7 - -3. Let w be (-2)/y - 99/(-22). Let c(k) = -2*k**3 + 9*k**2 + 6*k + 3. Calculate the smallest common multiple of c(w) and 2.
8
Suppose 0 = 3*h + 5*h + 248. Let a = -28 - h. Suppose -t - 3*t + a*k + 125 = 0, 3*k = t - 20. Calculate the least common multiple of 6 and t.
210
Suppose 5*w - 45 = -41*h + 37*h, -5*h + 128 = -4*w. Let t(m) = m**2 + 2*m - 6. Calculate the lowest common multiple of t(-5) and h.
180
Let t = 6269/165648 + -29/714. Calculate the common denominator of -43/1624 and t.
3248
Let w(d) = -2*d**2 - 5*d + 3. Let b be w(-2). Suppose -3*r - 5 = -8*r, -r = b*y - 176. What is the smallest common multiple of y and 10?
70
Calculate the common denominator of 47/12 and 3504/1095 + 52563/(-15990).
6396
What is the smallest common multiple of 238 and 8 - ((-9)/(-2))/(31/(-62))?
238
Let l be ((-2)/(-6))/((-1 + 0)/6). Let y(u) = -u**3 + 8*u**2 + 11*u - 2. What is the smallest common multiple of 12 and y(l)?
48
Suppose -t + 6153 = 2*f, t + 11*f - 6147 = 12*f. Let q = t - 37025/6. Find the common denominator of 1/18 and q.
18
Let l(x) = 2*x**3 - 7*x**2 + 3. Let z(n) = 4*n**2 + 108*n + 107. What is the lowest common multiple of z(-26) and l(5)?
78
What is the common denominator of 71/33 and (-112)/7428*((-8)/192*-6)/(-1)?
20427
Let n = -54 - 31. Let k be ((-138)/(-15))/(1/n). Calculate the common denominator of 35/4 and 8/14 + k/(-224).
16
Let q = 4076 + -4052. Suppose 2*p - 4*p - 18 = -d, 90 = 5*d + 5*p. What is the least common multiple of d and q?
72
Suppose -19*w + 13 = -1963. Calculate the lowest common multiple of 24 and w.
312
Suppose 11*r - 6*r = 55. Suppose 3*p + r = 2*t, 8*t - 3*t - 5*p - 35 = 0. Calculate the lowest common multiple of 332/t + 5/(-25) and 12.
132
Suppose -59 = 4*p - a, -10 = p + 3*a + 8. What is the least common multiple of 10 and (-275)/p + (-7)/21?
90
Let a = -3399 - -40763/12. Let q be (-512)/(-3888)*3/2. Let d = -8669/810 - q. Find the common denominator of d and a.
60
Let x(f) = -f**3 - 3*f**2 - 2*f + 2. Suppose 0 = -13*t + 8*t - 80. What is the smallest common multiple of t/6*(747/(-12) + 0) and x(-3)?
664
Suppose -10 = -7*o + 12*o. Let s(l) = -l. Let a be s(o). Find the common denominator of 28/3 and ((-82)/(-44))/(3/a).
33
Find the common denominator of (22/(-110) - 5322/2520) + 3/7 and 83/960.
960
Suppose 0 = i - 0*i + 3*b + 3, -i = -3*b - 3. Let m(r) = -2*r**2 - 2*r + 14. Let d = -16 - -28. Calculate the smallest common multiple of m(i) and d.
84
Let x = 10129703/220 + -46044. What is the common denominator of x and -73/135?
5940
Suppose -12*x + 11*x - 275 = 0. What is the common denominator of -59/27 and x/132 + ((-9)/3 - 1)?
108
Let u = 1183 - 677. Calculate the smallest common multiple of u and 138.
1518
Suppose 3*b = -37 + 127. Let v(t) = -t**3 - 24*t - 29. Calculate the smallest common multiple of v(-3) and b.
210
Calculate the least common multiple of -5*(-2801)/35 - (-3)/(-21) and 25.
400
Let d be 121841623049378/(-22280347176780) + 2/(-7). Let r = 1240/46821223 - d. Let y = -14/1133 - r. What is the common denominator of 19/27 and y?
270
Let t = -589035 - -1658133563/2815. Find the common denominator of t and -14/15.
8445
Find the common denominator of 15/256 and (-1234)/59136 - (-314)/(-5181).
1792
Let x be (1 + -1)/(-4 + (-24)/(-8)). Suppose 164 = 3*o - x*o + l, 5*l + 280 = 5*o. What is the least common multiple of o and 1?
55
Suppose 4*q = 87 + 297. What is the common denominator of (-26)/(-6)*4/(q/18) and (-6)/20*23/(-1)?
20
Calculate the lowest common multiple of 1264 and (-6 + (9 - -2))*(15 + 1).
6320
Let d be (-31914)/2584 - 133/(-76). Let p = -245/19 - d. Suppose 0*x - 3*x = -66. Calculate the common denominator of p and x.
17
Suppose -3*i - 122 - 64 = 0. Let z = i + 72. What is the least common multiple of 6 and z?
30
Let m = -2276/149 - 4248615/4768. Let k = m + 906. Find the common denominator of k and 55/16.
32
Let z be 1 + 6 - (8 + -5). Suppose -3*y + 74055 = 2*m - 7*m, -z*m + 74082 = 3*y. Let l = 493909/20 - y. Find the common denominator of -41/12 and l.
60
Let s = -9765 + 9778. Suppose -11 - 7 = -2*z. What is the lowest common multiple of z and s?
117
Let t = -44 + 46. Suppose 2*y = 0, -y + 40 = 4*h - t*y. Calculate the smallest common multiple of 28 and (88/(-55))/((-4)/h).
28
Let o = 225 + -223. Suppose o*p + 98 = 3*h - 2*p, p = 4. Calculate the lowest common multiple of 22 and h.
418
Suppose 13*q - 18*q - 625 = 0. Let b = 146 + q. What is the smallest common multiple of b and 77?
231
Let h = 2044171/1743115 + 1/63386. Suppose 0 = 5*r + 3*l - 4541, l = 5*r - 3*l - 4562. Let b = r - 2783/3. What is the common denominator of h and b?
330
Suppose 4*i - i = 126. Let z = 4853 + -4811. What is the least common multiple of z and i?
42
Let y be (0/1)/(5/(-15)*-3). Suppose y = 3*p - 30 + 15. Suppose -4*m + 3*c = -2*c + 8, 2*c - 14 = -2*m. Calculate the least common multiple of p and m.
15
Let n(j) = 