e (-77)/(-28) - (-3)/12*1. Suppose -2*b - 18 = -w*b. Suppose 2*z = 2*s - 60, -3*s + 90 + 0 = 3*z. Calculate the lowest common multiple of b and s.
90
Let z be 1/(1/(-770))*26/4. Let l = -75043/15 - z. Calculate the common denominator of (-41)/(-5) + 1 - 0 and l.
15
Find the common denominator of 95/398 and 3/1393*(13 + 1404/(-360)).
1990
Let t = -211 - 305. Find the common denominator of 4 + (1026/t - 1) and 121/18.
774
Suppose 177*j = 142397 - 42256 + 31547. Calculate the smallest common multiple of j and 744.
744
Let p = -5/12771 - -73583/1123848. Calculate the common denominator of 81/484 and p.
968
Let k = -111/1081 - -1765635/14053. Let u be (5631/(-26) + -1)/2. Let y = k + u. Find the common denominator of 33/13 and y.
52
Let w be 5 - (1 - (-14572)/3644). Let y = -6432/50105 + w. What is the common denominator of y and -79/15?
165
Let o = -91359/40 - -2286. Calculate the common denominator of o and 59/9.
360
Let x(q) = -90*q + 1230. Calculate the lowest common multiple of 282 and x(13).
2820
Let f(r) = -r**2 + 22*r - 42. Let w be f(20). Find the common denominator of 119/12 and (w/9)/((-120)/21330).
12
Let z be 1582 + -6*1/2. Let f = z - 11082/7. Calculate the common denominator of 13 and f.
7
Let z = -890/23 + 56507/1449. What is the common denominator of z and (-44982)/588*3/(-126)?
252
Suppose 25 - 29 = -f, 5*h = 2*f + 162. Calculate the lowest common multiple of 16 and h.
272
Find the common denominator of (-32)/(-24) - (3 - 36/4) and 122/9*9/(-36).
18
Let s(k) = -k**3 + 6*k**2 - 8*k + 18. Let g be s(5). Let c be ((-17)/1)/(g + -4). Suppose -c*y - 3 = -18*y. Calculate the smallest common multiple of y and 24.
24
What is the lowest common multiple of -6 - (-5 - 5) - (3 - 1049) and 25?
1050
Suppose 3*q - 232 = -q - 4*a, -3*a = -q + 38. What is the common denominator of 22/9 and q/((-4 + 3)/(-1)*-33)?
99
Suppose -51*x + 258 + 252 = 0. Suppose 26 = 4*l + 10. What is the lowest common multiple of x and l?
20
Suppose -1299*v + 1285*v + 11396 = 0. Calculate the smallest common multiple of v and 121.
8954
Let x = 7490059/6760662 - 3/66281. Find the common denominator of -37/285 and x.
9690
Let h be ((-218)/(-6))/((-15)/(-14220)). Let m be (h/48)/(9/(-24)). Let l = m + 1917. Calculate the common denominator of l and -7/16.
144
Suppose -13 - 23 = 9*w. Let o(j) = 1 - 3*j**2 - 4*j - j**3 + 0*j**2 - 2 + 5*j. Calculate the smallest common multiple of 2 and o(w).
22
Suppose -816*p - 3008 = -821*p - 3*v, -5*p + 2*v = -3028. What is the lowest common multiple of p and 12?
1812
Let s be -44*(8 + (-222)/24). Suppose -n - 19 = -s. Calculate the smallest common multiple of n and 124.
1116
Let w = 821 + -765. Suppose 10*i - 1001 = -3*i. What is the least common multiple of w and i?
616
Let f = 874 - 14025/16. Calculate the common denominator of f and -51/388.
1552
Let b(m) = 1822*m + 24. Let y be b(1). Suppose 0 = 12*c + 406 - y. What is the lowest common multiple of c and 96?
480
Find the common denominator of (-105266)/(-35112)*-1 + (4 - 1) and 43/66.
2508
What is the common denominator of ((-27)/(-12))/3 + (-14 - (-30265)/2250) and 89/2400?
7200
Let c(h) = -h**2 + 15*h - 13. Let u(a) = 15*a**2 + a - 2. Let b be u(1). Let k be c(b). Find the common denominator of 47/2 and (-103)/10 - (-2 + 1/k).
10
Let u(q) = 2*q + 30 - 20 + 26*q**2 - 7. Calculate the least common multiple of 30 and u(-1).
270
Let y(q) = 4*q + 2. Let g be 1/(-2)*6 - -45. Let a be (-9)/(-7) - (-3)/g*-4. Calculate the smallest common multiple of 9 and y(a).
18
Let d = 152 + -144. Suppose -31*f = -18*f - 6708. Calculate the least common multiple of d and f.
1032
Let o be (31/(-62))/((-1)/408). Calculate the common denominator of (18/392)/(o/238) and 47/77.
616
Suppose -17 = 5*z - 3*f, 2*z - 2*f + 3 = -3. Let g = -228991/26 - -8811. What is the common denominator of g and (-9)/20 + z + 2?
260
Let q = -733883/541620 + 1060/1003. Calculate the common denominator of q and 3/56.
7560
What is the lowest common multiple of 11232 and (-2 - 4)*-2*(-45)/45*-1?
11232
Let u be 1*3 - (0 - -1). Suppose 5*k = 4*p - 3790 + 3656, 0 = 2*k + 3*p + 72. Find the common denominator of k and u/4 + (-116)/46.
46
Suppose -561 = -28*x + 559. Let l(u) = -7*u**3 + u**2. Calculate the smallest common multiple of x and l(-2).
120
Let b = 4181669/105 - 39825. Find the common denominator of ((-7)/(-462)*-6)/7 and b.
1155
Let x be (-144)/(-78) - (-4)/26. Let i be ((-10)/(-4) - x)*24. Calculate the common denominator of (-195)/18*18/i and 30.
4
Let s = 4182/107 - 9781163/250273. Let y = s + 254881/32746. Calculate the common denominator of ((-12)/(-40))/(72/1700) and y.
84
Calculate the common denominator of (1 + (-60)/3)*(-40)/((-4320)/(-42)) and -97/693.
1386
Let f = 31210 - 1123651/36. Let d = -30782/22035 - 22/565. Find the common denominator of d and f.
468
Let y = 266 + -110. Let v = y - 120. What is the least common multiple of 36 and v?
36
Let c = -45 - -97. Suppose -r = 5*d - 130, -c = -2*d - 0*r + 2*r. What is the least common multiple of (1 - -5)/2 - (d - 41) and 33?
198
Suppose s - 80 = -4*i - 22, 0 = -4*s - i + 172. Suppose -5*n - 3*y = -162, 2*n - 9 = 5*y + 31. Calculate the lowest common multiple of s and n.
210
Calculate the least common multiple of (2 - -262)/11*(-1 + 2) and 15.
120
Let k = -117/14581 - 1110157/37910600. What is the common denominator of -103/130 and k?
2600
What is the smallest common multiple of (0 - 1)*(-1 - (1 + 7)) and 261?
261
Let v be ((-585)/26)/(6/(-32)). Suppose -v = -15*q + 12*q. What is the smallest common multiple of 3 and q?
120
What is the common denominator of 731/1380 + (-2176)/8160 and 49/345?
1380
Let r = -1230662689/55 - -22382949. Let v = 7263 - r. Find the common denominator of v and 49/20.
220
Let n = -7245/2 + 76043/21. What is the common denominator of 33/772 and n?
16212
Suppose -8 = -v - 5*i, 7*i - 6*i = -5*v + 40. What is the least common multiple of 72 and 66 + 12*v/16?
72
Suppose -5*d - 13 = -23. Suppose -j - 2*o - d*o + 12 = 0, 2*j = 3*o + 35. Calculate the least common multiple of 26 and j.
208
Let x = -1/275093 + 6330339/880297600. Find the common denominator of 74/45 and x.
28800
Let l = -198 + 213. Let q(p) = 6*p - 60. What is the least common multiple of 54 and q(l)?
270
Suppose -2*b + 87 = 5*v, -4*b - 21 = 1139*v - 1142*v. Calculate the smallest common multiple of v and 3879.
19395
Let q = -81782 - -249419/3. Let j = q - 1342. Calculate the common denominator of -81/20 and j.
60
Let t(v) = -24*v + 35. Let n be t(7). Let c = n + 170. Suppose 0*s + 2*s = 20. What is the smallest common multiple of c and s?
370
Let l(k) = 5*k**3 + 21*k**2 - 125*k + 9. What is the least common multiple of l(5) and 2?
534
Let m = -46 - -56. Let z(a) = -a**2 - 17*a - 20. What is the lowest common multiple of z(-15) and m?
10
Suppose -3*x = -4*h - 339, -3*h - 721 = -5*x - 178. Calculate the least common multiple of 245 and x.
735
Suppose 17*w + 198*w = 514244 + 357151. What is the lowest common multiple of 15 and w?
20265
Let w = 3176 + -3152. What is the least common multiple of w and 18?
72
Let a = -3749/2 - -1834. Let h(p) = p**3 + 6*p**2 - p + 3. Let l be h(-5). Find the common denominator of l/77 - (-451)/42 and a.
6
Let a(u) = -5*u**2 - 5*u + 35. Let i = 11 + -11. What is the smallest common multiple of 7 and a(i)?
35
Let s(h) = -9*h**2 + 133*h + 11. Calculate the lowest common multiple of s(10) and 441.
441
Let j be 1/((-3)/(-2) - 2). Let t(l) = -5*l - 3 + 21 - 4 - 2. Calculate the smallest common multiple of 20 and t(j).
220
Let x(j) = -j**2 - 50*j + 42. Calculate the smallest common multiple of x(-50) and (-1 - (-92)/(-16))*48/(-9).
252
Let w = 556179/77 - 7223. Let c = 103678/35 - 2964. Find the common denominator of w and c.
385
Let k(t) = 20*t**2 - t + 6. Let j = -14 - -16. Let r be k(j). Suppose -i = n - 30, 2*n - r = -4*i - 18. What is the least common multiple of 36 and n?
108
Suppose -5*g - 24*g + 638 = 0. What is the lowest common multiple of 250 and g?
2750
Let c = -794 - -800. Suppose -c*j + 114 + 66 = 0. What is the lowest common multiple of 90 and j?
90
Let l = 34 + -4. Let p = 34 - l. Calculate the common denominator of -1*(-2)/p + 54/(-384) and 29/20.
320
Suppose -5*o + 3*o = 2*s - 16, s = 4*o + 8. Let n = 7 - s. Let u(z) = -z + 1. What is the least