18 - -122344. Let a = -238 + p. Find the common denominator of a and 58/21.
126
Suppose -4*v + 67 = -t, 15*t - 56 = -2*v + 11*t. Suppose -y - 3*c = y - 43, y - 2*c = v. Calculate the least common multiple of y and 46.
460
Let g be 13 + (-20)/6*39/26. Calculate the common denominator of (44/5 - g) + 298/(-120) and -97/132.
660
Suppose 2*h - 680 = -260. Suppose -h = -0*g - 7*g. Suppose 5*j = 8*j - 60. Calculate the smallest common multiple of j and g.
60
Let v = -403858 + 403897. Suppose -2*s + 4*o + 312 = 0, 0 = s + s + 4*o - 312. What is the least common multiple of v and s?
156
Suppose 2*j - 5*j = 0. Suppose -2*f + 2*q - 312 = j, 2*f + 2*q + 2*q + 330 = 0. What is the common denominator of 13/6 and (1 + (-178)/36)*f/(-265)?
30
Suppose 0 = -4*k - 34*k + 228. Suppose 128 = k*h - 232. Calculate the lowest common multiple of h and 40.
120
Let h = 274940/31 - 8870. Calculate the common denominator of ((-3234)/(-24))/7 + (-3)/(-2) and h.
124
Let n(x) = 15*x - 7. Let i(j) = 7*j - 4. Let l(g) = -13*i(g) + 6*n(g). What is the lowest common multiple of l(-2) and 20?
60
Let j = 332 - 328. Suppose -4*g + 108 = -j. Calculate the least common multiple of g and 32.
224
Let f be 34/15*944355/(-2556). Let j = 7543/9 + f. Find the common denominator of (((-2)/(-42))/(-1))/((-828)/(-1242)) and j.
994
Calculate the common denominator of 583/265 + (-2939)/1120 and 75/146.
16352
Let p = -4033/700 + 161/25. Find the common denominator of 4*32/(-6)*(-3)/(-35) and p.
140
Find the common denominator of 2/(-12)*4 - (-193)/228 and -71/36.
684
Suppose 8512 = 108*m - 14396 + 5520. Calculate the smallest common multiple of 207 and m.
1449
Let p(l) = 6*l**2 - 16*l - 4. Let k be p(3). Suppose -2*r + 5568 = k*r. Find the common denominator of 76/15 and r/1197 + 16/(-56).
285
What is the common denominator of -46/885 and (2/177)/((-6104)/(-83167))?
3540
What is the common denominator of 7/(-36) + (-22)/(-99)*(-2 + -1) and (-20)/(-16)*(-174)/(-99)?
396
Let b = 424/19 - 26257/1140. Find the common denominator of -59/240 and b.
240
Suppose 2*s + v - 43 = 0, 5*v - 3*v = 4*v - 22. Let t(d) = 18*d**2 + d - 2. What is the smallest common multiple of s and t(2)?
144
Find the common denominator of 69/10 and (-6)/(-50)*11070/51030.
3150
Let n = -1503108/11 - -136535. Let g = -107 - n. Let v = 8/2867 + 249413/5734. Calculate the common denominator of v and g.
22
Let b(x) = 2*x - 7. Let v be b(4). Let m(s) = s**3 - 2*s**2 - 5*s + 4. Calculate the lowest common multiple of (1 - (1 - -1))*(-4)/v and m(4).
16
Let h = -580494760/1053 - -551277. Find the common denominator of h and 29/9.
1053
Let y = -28355/646 - -735/17. What is the common denominator of ((-204)/(-162))/(-5*6/(-45)) and y?
342
Let r = 54685 - 54678. Suppose 0*n = -2*n + 140. What is the lowest common multiple of r and n?
70
Let w = -125 - -129. Suppose -156 = -4*o + w*d, -7*o = -8*o - d + 45. Calculate the least common multiple of o and 6.
42
Let s be 1267150/(-336) - (-12)/32. Let k = 3770 + s. Let w = 108877/18 - 6054. Calculate the common denominator of w and k.
126
Suppose 2*d - 22 = -2*t, 9*d + 2*t = 11*d - 30. What is the lowest common multiple of d and (-3)/18 - 134/(-12)?
143
Let u(h) = h**3 + 20*h**2 + 36*h + 13. Let a be u(-18). Suppose -a*p = -234 + 39. What is the lowest common multiple of p and 21?
105
Suppose 0 = 2*y - 0*y - 56. Let z = 188 - 174. What is the lowest common multiple of y and -4*1/z - 990/(-35)?
28
Let x = -4075 + 4153. What is the smallest common multiple of 741 and x?
1482
Let z = -382 + 380. Let d(a) = 5*a**2 + 2*a - 3. What is the smallest common multiple of d(z) and 7?
91
Let m = 222825/36322 + -27/1397. Let b = -106/39 - m. Find the common denominator of 6/21 - 1794/693 and b.
66
Let s = 412 + -158. Calculate the common denominator of s*1/126 + 0 + -3 and -1/36.
252
Let d = 2/61 - 73/366. Let u be (42/(-572))/(12*(-4)/(-2152)). Let f = 6/143 + u. What is the common denominator of f and d?
12
Suppose -167*s = -161*s - 150. Calculate the least common multiple of (-75)/(-10)*32/6 and s.
200
Let x = 71803/24312 + 5/1013. Calculate the common denominator of (-17)/51 + (-3 - (-237)/252) and x.
168
Let t = 6/4525 + 62828/393675. What is the common denominator of -38/3 and t?
87
Let r = 133 - 141. What is the least common multiple of 28 and (9/6)/((r - 1)/(-216))?
252
Suppose 181*h = 180*h + 5. Suppose 0*s - 2*k = -5*s + 130, h*s + k - 145 = 0. Calculate the least common multiple of s and 77.
308
Suppose 5*a = a - 96. Let f = -14 - a. Calculate the least common multiple of (7/(-1) + 5)*-4 and f.
40
What is the common denominator of (-146)/240*(-80)/(-96) and -51/320?
2880
Let n = 7392537125/52 + -142158541. Let x = 5634 - n. Find the common denominator of -63/10 and x.
260
Let b = 7460067/280 + -26643. Calculate the common denominator of 79/10 and b.
280
Let o(k) = k**2 - 17*k + 26. Let t be o(16). Find the common denominator of 174/(-9)*(-2 - -1) and -3 + -1 + 16/t.
15
Let o be (-11 + 12)/((-2)/(-116)). Suppose o = 3*v + h, 60 + 42 = 5*v + 3*h. Let s = 208 + -188. Calculate the least common multiple of v and s.
180
Suppose 85 - 16 + 526 = 85*t. Calculate the smallest common multiple of t and 56.
56
Let q be (-230)/120*(-3 - (-287832)/204340). Let g = 2/10217 - q. Let i = 6291/2332 - 33/106. Find the common denominator of i and g.
220
Let c be 24195/(-2052) - 8/36. Let b = -14/19 + c. Find the common denominator of 12/15 + 469/20 and b.
4
Calculate the common denominator of 581/140 - (-5)/25 and ((-6)/8)/(5 + 612/(-116)).
160
Suppose 5*w = -4 - 1, 4*w = -5*k + 41. What is the common denominator of (-291)/(-36) + k + -13 and 4 + ((-88)/108 - 2)?
108
Let p(d) = -32*d - 7. Suppose 0 = -21*r - 9 - 12. Calculate the lowest common multiple of 5 and p(r).
25
Let k be (117/(-78))/((9/(-4))/(-3)). Find the common denominator of -1 - 11*(-1)/10 and 2*189/196 + 8/k.
70
Suppose -q + 14 = -3*d - 0*d, 5*q - 34 = 3*d. Suppose -q*m + 36 + 44 = 0. What is the lowest common multiple of (-2 - 2) + m + -4 and 14?
56
Let i be 13750/26 + (528/52 - 10). Suppose -i*z = -527*z - 40. Calculate the least common multiple of 28 and z.
140
Suppose -2*x + 46 - 14 = 0. Calculate the common denominator of (42/x)/(1/(-6)) and ((-1692)/5760)/(3/(-12)).
40
Let t = -89269/21 - -4248. What is the common denominator of -103 - -109 - (-206)/(-21) - -7*1 and t?
21
Suppose 9*z - 1412 = 4033 - 1089. Calculate the lowest common multiple of z and 352.
3872
Let o = 358/301 + -105549/66220. Calculate the common denominator of -87/20 and o.
220
Let o = -10291 + 185309/18. Let n = -417093/28 - -14894. Calculate the common denominator of n and o.
252
Let t(c) = -c**3 + c**2 + c + 40. Let k be t(0). Suppose -2*x + 4*x - k = 0. Suppose 56*d = 801 - 17. What is the smallest common multiple of d and x?
140
Suppose -y + 1572 = 2*z, -768 = -0*z - z + 4*y. Suppose 19*n = 5*n + z. Calculate the lowest common multiple of 72 and n.
504
Suppose f - 5*c = 6*f - 4475, f - 911 = 3*c. Suppose 9*x + f + 73 = 0. Let w = -97 - x. What is the least common multiple of w and 7?
77
Find the common denominator of 23/319 and -1 + 2027/696 - 300/180.
2552
Suppose 4*r = 20, 5*n - r = -0*r + 220. Suppose -3*a = v - 147, -40*a = 4*v - n*a - 622. What is the least common multiple of 9 and v?
153
Suppose 2*a = -3*c + 129, 5*a - 1102 = 4*c - 791. What is the least common multiple of 21 and a?
63
Let h = -11279/5610 - -353/170. What is the common denominator of h and 58/27?
5049
Let i(x) = 40*x - 85 + 47*x - 128*x + 78*x + 396. What is the lowest common multiple of 39 and i(-7)?
156
Suppose 4494 = 69*r - 63*r. What is the lowest common multiple of r and 963?
6741
Suppose 2*p + 5*c + 4 = 0, -5*p + 11*c - 13*c + 53 = 0. What is the smallest common multiple of 682 and p?
8866
Calculate the common denominator of 109/2268 and 15170/(-223776)*2/(-5).
4536
Let s be (3/(-12))/(1199025/32240330). Let t = s + -2/79935. Calculate the common denominator of t and -19/180.
180
Suppose 0 = -2*m + 13 + 17. Let g(k) = k**3 + 2*k**2 - 162*k + 87. What is the least common multiple of m and g(-14)?
15
Suppose 0 = 3*s + 4*u - 10, s - 3*u - 3 = -2*s. Suppose 3*h + 8*x = 4*x + 86, s*h = -3*x + 59. Calculate the smallest common multiple of 96 and h.
1056
What is the common denominator of -1*31995/5