 21/u)/((-15)/590).
18
What is the common denominator of (6 + (13662/(-168))/(-11))/(-66) and 47/112?
1232
Let y be (1/(-2))/((-3)/30). Suppose 57 + 23 = -y*u. Calculate the common denominator of ((-36)/u - -2) + 2/3 and -99/26.
156
Suppose 0 = 2*a + a - 4*i - 296, 0 = -a - 3*i + 90. Suppose -o = -a + 63. What is the lowest common multiple of 72 and o?
792
Suppose -f + 12 = -21. Suppose -f = -y - 1. Let l = y - 29. Calculate the least common multiple of 29 and l.
87
Let a = -231645 + 75052889/324. What is the common denominator of -119/216 and a?
648
Let t(q) = q**2 - 2*q + 7. Calculate the lowest common multiple of t(-3) and 258.
2838
Suppose -11*y = 1576 + 1306. Let j = -237 - y. Calculate the common denominator of j and -26/3.
3
Let s = -323 + 327. Let n(w) = -w**3 - 4*w**2 + 3*w - 8. Let o be n(-5). Let j = o + 4. What is the least common multiple of j and s?
12
Suppose -4*n + 59 = y - 5, -67 = -5*n + 2*y. Let u be ((56/(-77))/4)/((-2)/22). Suppose 0 = u*o - 28*o + 546. What is the smallest common multiple of n and o?
105
Calculate the common denominator of (6/(-20) + (-483)/(-1725))*83 and -49/250.
250
What is the common denominator of -7*(-12)/42*2*(-13)/627 and 55/228?
2508
Let z = -4135 + 4136. What is the smallest common multiple of 96 and z?
96
Let x = 66 - 102. What is the common denominator of -13/18 and 2 + 1882/x + 2/(-9)?
18
Suppose 4*a + 60 = 3*k, 2*k + 6*a = a + 40. What is the lowest common multiple of k and 6252?
31260
Find the common denominator of (57/380)/(240/(-3250)) and -29/2.
32
Let o(t) = -t**2 - 145*t - 3249. Calculate the lowest common multiple of 948 and o(-28).
8532
Suppose 5*i - 5*s - 125 = 0, -i = i + 3*s - 65. Let n = i + -6. Let p(o) = -4*o - 10. What is the smallest common multiple of n and p(-9)?
286
Let u = 4/220449 - -19173215/322296438. What is the common denominator of -11/172 and u?
2924
Let o(h) = 2*h**3 + 34*h**2 - h - 24. Let f be o(-17). Calculate the common denominator of f*2/(-35) + (-337)/80 and 77/174.
1392
Calculate the lowest common multiple of 448 and -2 + 6 + 8*(-11)/88.
1344
Suppose 0 = -2*p - 12 - 18. Let z(a) = a**3 + 2*a**2 + 10*a - 10. Let r be z(-5). Calculate the common denominator of 363/2*p/r and -53/7.
42
Suppose 0 = 2*a - 4*w + 4572, 3*w + 0*w + 4600 = -2*a. Let u = a + 2302. Calculate the least common multiple of (-304)/(-14) + 4/14 and u.
88
Let y = 39112 + -16427069/420. Find the common denominator of y and -139/2040.
14280
Calculate the smallest common multiple of -15 + 285/(-180)*-12 and 8008.
8008
Let w = -1867/124 + 998315/66836. Find the common denominator of -1/882 and w.
9702
Let h = -1950 + 29206/15. What is the common denominator of h and 111/(-444) - (-182)/80?
120
Find the common denominator of (-1898)/(-104)*(-3)/(180/8) and 295/(-72)*3/(-10).
240
Suppose 0*j + 2*j = 56. What is the common denominator of 2*(-153)/(-30)*(-550)/(-660) and (2/j)/((-1)/(-36))?
14
Let j be (-3 - -6)/(-2 - (1 - 2)). Let n = -59 + 100. Calculate the common denominator of n and 7/(-2) + (j + -2 - -3).
2
Let t = -3334 + 2308. Let z = -650 - t. What is the lowest common multiple of 20 and z?
1880
Suppose -3*r - 2*z = -z + 1729, 0 = 2*r - 4*z + 1134. Find the common denominator of r/(-5)*18/45 and -40/9.
9
Let m(o) = -17*o**2 - 5*o - 6*o - 2*o + 48 + 10*o + 5*o + o**3. What is the smallest common multiple of m(17) and 14?
574
Find the common denominator of -9 - ((-1356)/132 + 3) and 53/9457.
104027
Let d = 12564 - 615609/49. Calculate the common denominator of 103/1820 and d.
12740
Let w = 43739 + -15746053/360. What is the common denominator of -101/70 and w?
2520
Let t = 34252 + -4829461/141. Find the common denominator of 137/18 and t.
846
Let l(q) = 5*q**2 + 3*q + 5. Let s be l(6). Suppose 21*x = -467 - 2116. Let k = s + x. Calculate the lowest common multiple of k and 4.
80
Suppose 5*a - 5*k - 140 = 420, 4*a - k - 442 = 0. What is the lowest common multiple of a and (-5*12)/((5 - 2) + -4)?
660
Let a be -4 - (-1 - 1)*-3. Let v = -14 + 33. What is the smallest common multiple of v and ((-2)/a)/(2/70) - -3?
190
Suppose 0*u + 2*u = 88. What is the smallest common multiple of u and 53*(13 + -12) + 141/(-15) + (-24)/(-60)?
44
Suppose 2*h = 1 + 11. Let o(j) = h + 5 + 2*j + 10. What is the lowest common multiple of 52 and o(-8)?
260
Let i = 380 - 345. Calculate the lowest common multiple of 16 and (80/7)/(115/i + -3).
80
Let x be (-128)/48*(-1899)/4. Let c be 3 - 7/((-63)/x). Let d = c - 1340/9. What is the common denominator of -1/4 and d?
36
Calculate the least common multiple of (6/7)/((-22)/(-2310)) - 10 and 110.
880
Suppose 83*k - 26*k - 28044 = 0. Calculate the lowest common multiple of k and 132.
5412
Suppose 3 = -4*d + 23. Find the common denominator of (-138)/36 + (2 - d) and -6 - (-355)/25 - (-3)/2.
30
Suppose 0 = 132*g - 109*g - 90896. Calculate the smallest common multiple of 624 and g.
11856
Calculate the common denominator of (4/3)/4 - (10 - 2625/180) and -143/8916.
8916
Let v = 12994 - 12974. What is the smallest common multiple of v and 6505?
26020
Let k = 64447/119300 - 1/4772. Let a = 53/1777922 + -6621445486/653386335. Let z = -8/245 + a. Calculate the common denominator of k and z.
150
Let o be 1484/366 + (6 - 10). Let x = -4646/183 + o. Let j = 33/23 - 103/184. Calculate the common denominator of x and j.
24
Suppose 3*i = 1120*z - 1119*z + 98, -3*i + 68 = 5*z. Let l = 10 + -4. Calculate the least common multiple of i and l.
186
Suppose 17*d - 5*d = -1680. Calculate the common denominator of 9/2*46/96 and 13 + -5 + 775/d.
224
What is the smallest common multiple of 210 and (5 + -7)/(4/(-9940)*7)?
14910
Let c(a) = -a - 8. Let q be c(3). Let y(v) = v**3 + 11*v**2 - 7. Let n be y(q). Let b = n + 13. Calculate the least common multiple of b and 9.
18
Let r(p) = 34*p**2 - 149*p + 759. What is the lowest common multiple of 672 and r(5)?
6048
Let x = -8 + -10. Let p be 670/x - ((-215)/(-45) + -5). Let l = p - -47. What is the lowest common multiple of 2 and l?
10
Let l be 10/(-15)*(12/(-2) - -3). Find the common denominator of -19/48 and 24805/6888 + l/(-14).
48
Let n = -4/68279 - 2253199/136558. Find the common denominator of (-38)/936*-58 - 2 and n.
234
Let n = 166 + 440. Let r = -428 + n. What is the least common multiple of r and 3?
534
Let y = -607/469 - -899936/721791. What is the common denominator of y and 37/297?
16929
Let o = 29 + -24. Suppose 33 = o*x - 17. Suppose 0 = -5*j + x. What is the smallest common multiple of 11 and j?
22
Suppose 0 = -4*k + 27 + 41. Suppose -5*n + 4*f - 3*f - 130 = 0, k = -n + 2*f. Calculate the common denominator of (3048/n)/(-4)*(-6)/8 and 21/11.
66
Let z = 788 - -543. Let w = z - 2015. Calculate the common denominator of 25/12 and (-8)/84*w/(-16).
84
Calculate the common denominator of 43/216 and (1/(48/(-292)))/(7 + 3 + 143).
3672
Let v(p) = -15 + 2*p + 0*p**2 + p**2 - 13. Suppose -3722 + 3682 = 5*n. What is the smallest common multiple of 24 and v(n)?
120
Let x = -81121/8250 + -2/4125. Find the common denominator of 67/6 and x.
6
Let b(p) = -84*p. What is the smallest common multiple of b(-1) and 2/(-10) - (-262)/655 - 345/(-25)?
84
Let b = 494 - 502. Find the common denominator of b/(-44) + (-734)/(-561) and -19/7.
357
Suppose -n + 936 = 2*z, -1260*z + 918 = -1258*z + 4*n. Calculate the smallest common multiple of 4239 and z.
4239
Let s be ((-78)/75 + 2)*120252/(-9). Let t = 12825 + s. Let l = -1559/550 - t. Calculate the common denominator of l and -59/6.
66
Suppose -70*b + 9*b = -21*b - 35000. Calculate the smallest common multiple of 4025 and b.
20125
Calculate the common denominator of (22/20 - 1)*44/((-1144)/4485) and 43/2964.
2964
Let u be 102/(-6) - 2*2. What is the smallest common multiple of 4/14 - 36/u and (0 - 39/(-26))*(-1 - -13)?
18
Let f(t) be the first derivative of -t**3/3 - 3*t**2/2 + 6*t - 37. What is the smallest common multiple of f(-3) and 30?
30
Let h = -894 - -19653/22. Suppose 4*u = -2*o + 66 + 178, 0 = -5*o - 4*u + 586. Find the common denominator of o/(-16)*30/(-36) and h.
176
Let r(j) = 79*j - 3758. Calculate the lowest common multiple of r(48) and 595.
1190
Let p = -8221 - -131605/16. Suppose 42*w + 4 = 44*w. Find the common denominator of p and w/(-5) - 1404/40.
16
Suppose 6 = -y + 4*y. Suppose 2*x - 6 = y.