alculate the common denominator of 31/388 and 2955/(-1800) + -2*(-1)/(-6).
3880
Let z be (-66891)/(-198) - (6/(-4) + 1). Let p = -353 + z. Find the common denominator of 1/4*508/(-6) and p.
6
Suppose -j = 88*l - 87*l - 2, -2 = -l + 3*j. Suppose 3*z - 6 = -l*t + 22, t - 35 = -5*z. Let a = 0 - -46. Calculate the lowest common multiple of a and z.
138
Let o(w) = 2*w**2 - 15*w + 19. Let h be o(11). Suppose -5*f + 25 = 0, -2*z - 5*f + h = 23. Calculate the least common multiple of 4 and z.
24
Suppose -1133 = -4*i - 5*t - 1076, -i + 3 = 5*t. Calculate the least common multiple of 846 and i.
846
Let p(m) = -65*m**2 + 265*m - 11. Calculate the least common multiple of p(4) and 568.
5112
Let m(c) = 3*c**2 + 71*c - 26. Let h be m(-23). What is the common denominator of h/32*161/231 and (-85)/3*2/16?
264
Let o(w) = w**3 - 9*w**2 + 11*w - 4. Let r = 100 - 92. Let y be o(r). Calculate the common denominator of -83/20 and ((-23)/y)/(-1) - (22 - 21).
20
Let b = -241 - -267. Find the common denominator of 117/70 and b/(-980) + 0 + 48/40.
490
Let y = -203 + 335. Suppose 7*f + 43 = 967. What is the smallest common multiple of f and y?
132
Suppose -2*x - 4*r + 3*r = -25, 3*x - 27 = 2*r. Let n(p) = -p**2 + 14*p - 25. What is the least common multiple of n(x) and (-6)/(((-3)/9)/((-3)/(-6)))?
72
Let d be 318/24 - (-9)/12. Suppose 2*t = -2*h, -5*h - 24 = -5*t - d. What is the least common multiple of 15 and t?
15
Let f(k) = 18*k - 1. Let b be f(3). Suppose q = -52 + b. Calculate the common denominator of q and 59/5.
5
Let t = 1/7289 + -342611/204092. Calculate the common denominator of 595/(-154) + 1/2 and t.
308
Suppose 5*y + j = -540 + 33, 0 = -5*y - 3*j - 501. Let k = y + 114. What is the common denominator of -93/2 and k/(-3) - (255/(-66) - -1)?
22
Calculate the common denominator of 107/558 and (-582)/1395 - (-12)/40.
2790
Let j(t) = t**3 + 19*t**2 - 87*t - 5. What is the lowest common multiple of 8 and j(-16)?
17240
Let p = -392 + -1078. Let d = -7389/5 - p. Let t = 261/70 + d. Find the common denominator of t and 43/22.
154
What is the smallest common multiple of 3504 and (-4)/2 - (32/48)/((-4)/1326)?
3504
Let a(k) = -6*k + 18. Let p(t) = -2*t**3 - 8*t**2 - 17*t - 9. What is the lowest common multiple of a(-4) and p(-2)?
126
Let s(a) = 4983*a - 44854. Let t = -1363/240 - 1/48. Find the common denominator of t and s(9).
10
Let l be (5/6)/((-34)/80733). Let i = -427303/216 - l. What is the common denominator of i and 73/42?
1512
Let v = 11650 - 9202. What is the lowest common multiple of 1530 and v?
12240
Let b = -17720/11 + 1612. Let u = b + -197/110. Let d = 6288/55 - 1240/11. Find the common denominator of u and d.
10
Let h(w) be the second derivative of 7*w**3/2 - 57*w**2/2 + 3*w - 4. What is the least common multiple of h(7) and 81?
810
Let h = -121 - -136. What is the lowest common multiple of (4/16)/(15/144)*h and 96?
288
Suppose h - 76 = -3*j, 7*j = 2*j. Suppose 37*z - 473*z + 2616 = 0. What is the least common multiple of z and h?
228
What is the common denominator of 3/3725 and 0 - (6 + 1196/(-100) + 6)*-1?
3725
Suppose 16*q + 2424 = 35*q - 7*q. What is the lowest common multiple of q and 26?
2626
Let k = -7 - -15. Suppose -5*f = 0, 5*l + 260 + 220 = 5*f. Let i = -88 - l. What is the smallest common multiple of k and i?
8
Let j = -82259 + 21469531/261. What is the common denominator of 89/986 and j?
8874
Let v = -50 - -75. Calculate the least common multiple of v/(75/(-36))*(-6)/8 and 10.
90
Calculate the common denominator of 58377/10492 - (1 + -2)*-6 and 3*1 - 2247/378.
1548
Suppose -102*l + 4 = -100*l. Let q(f) = 13*f + 28. Calculate the smallest common multiple of q(l) and 24.
216
Suppose -2232 = 218*d - 227*d. What is the lowest common multiple of d and 682?
2728
Find the common denominator of -7 - (-22 + 26 + (-773)/68) and 53/252.
4284
Let x(u) = u**3 + 4*u**2 + 3*u + 4. Let c be x(-3). Suppose -c*y = 27 - 51. What is the smallest common multiple of 16 and y?
48
Let t = -77 + 80. Suppose 5*r = -t*i + 235, -5*i + 208 = 4*r + 7. What is the lowest common multiple of r and 10?
220
What is the smallest common multiple of 1534 and (-2)/(18890/(-2360) - (-1 - (-21)/(-3)))?
6136
Let b = -443512 - -13305319/30. Calculate the common denominator of (2/(-72))/((-1)/(-214)) and b.
90
Let a = 81584905/969 - 84195. Find the common denominator of -39/1615 and a.
4845
What is the common denominator of (-19)/(-7)*(-11 + 1336/96) and -127/216?
216
Suppose -5*i - 5 = 0, -4*b + 101*i + 3173 = 96*i. Calculate the lowest common multiple of b and 242.
8712
Let c be (14/2695)/((-33)/(-11567)). Let q = c - -14/1815. Let g = -1339/560 + q. What is the common denominator of 9/14 and g?
112
Suppose 15 = 2*r - 5. Suppose -4*b = b - r. Let l = -1321 - -1336. Calculate the least common multiple of l and b.
30
What is the common denominator of 107/72 and (-1439)/(-284) - (4 + (-1)/(-1))?
5112
Suppose 70*r - 2*l - 1574 = 65*r, -5*r - 2*l + 1586 = 0. Calculate the least common multiple of r and 12.
948
Let g = 77 - 232. Find the common denominator of g/12 - (-23 - -20) and 4 - (-2 - (-699)/60).
60
What is the common denominator of -107/438 and 7/20*(12 - (-1080)/(-56))?
4380
Suppose 9*x - 14*x = -20. Find the common denominator of (-31)/(-30) + (-12)/(-40) + 2 and (-58)/66 + (7 - x).
33
Let t = -561265/33 - -17010. What is the common denominator of t and 68/5259?
57849
Let l = 130 - 115. Let k = -3 + l. Suppose 198 = k*q + 54. Calculate the smallest common multiple of q and 20.
60
Suppose 0*b + 12 = -6*b. Let a = -349 - -5231/15. Calculate the common denominator of a and (b/24)/(5/130).
30
Let w = 901 + -3687/4. Find the common denominator of (1 - (-11)/(-12))/((-38)/4788*8) and w.
16
Calculate the common denominator of (1/(-7))/((-1)/(-5)) and (-2 + 0)/((-14)/(-10) - (-266247)/(-12975)).
1673
Let h = -59 + 119. What is the lowest common multiple of (-2048)/(-68) + 6/(-51) and h?
60
Suppose 217 = s + 3*z, 3*z + 726 = 4*s - 142. Calculate the least common multiple of s and 11.
2387
Let n(k) = 3*k + 40. Let c be n(-4). Let j(q) = -q**3 + 28*q**2 - q + 58. What is the lowest common multiple of 48 and j(c)?
240
Let p = 26008 - 25742. Calculate the smallest common multiple of 342 and p.
2394
What is the common denominator of 12/(-24)*(0 - 486/48) and (1/16)/((-4)/94)?
32
Let m = 18339 - 17804. Calculate the least common multiple of m and 107.
535
Let z be (-85310)/(-8400) + (2/16 - 0). Let g = z + -134/21. Find the common denominator of g and 23/10.
10
Find the common denominator of 106/(-48) - 3/(-9) and 24/(-66240)*-1990 + (-2)/3.
184
Let d be (1265/(-25))/1 - (-6)/(-15). Let o = 37 + d. Calculate the smallest common multiple of (12/o)/((-12)/504) and 36.
36
What is the common denominator of -27/16 and ((56/48)/7)/((-40)/(-243))?
80
Suppose -3*z + 84 = u, u - z = -20 + 108. Suppose -55*b + 86*b = 82*b - 1377. What is the least common multiple of b and u?
783
Find the common denominator of 14/16*3876/(-798) and 39/400.
400
What is the common denominator of ((-1)/50*37)/(13376/(-1140)) and 31/2640?
5280
Suppose -69*w = -77*w + 1152. Suppose -w = -34*z + 10*z. What is the lowest common multiple of 68 and z?
204
Let u = 8408 - 950003/113. Let w = 1547/5650 - u. Calculate the common denominator of -43/85 and w.
850
What is the common denominator of -67/136 and (2/34*-2)/((-198)/(-1353))?
408
Suppose -h = -5*d - 41, -2*h + 5*d = h - 73. Suppose -h = 5*c + 9. What is the common denominator of (-232)/66 + (-14)/(-77) - 3 and c?
3
Let a = -1389/2 + 12445/18. Let c = -136237/291060 - -19/2156. What is the common denominator of a and c?
135
Let v be (-5)/((-25)/(-2970)) - -2. Let f = 2/4153 - -203345/315628. Find the common denominator of (v/48)/(1 + 0) and f.
228
Let q be 4/10 - 195/(-75). Let w(g) = -g**2 - g - 1. Let d(t) = 2*t**2 + 6*t. Let r(a) = -d(a) - 3*w(a). Calculate the least common multiple of 5 and r(q).
15
Suppose 4*x + 4*s = 120, 2*x + 0*x + 3*s - 65 = 0. Suppose 40 = x*d - 20*d. What is the least common multiple of d and 10?
40
Let t = -63/218 + -6799/1744. Calculate the common denominator of -73/6866 and t.
54928
Let a be -2 - (2 - 1) - -54. Calculate the common denominator of (-2 + a/9)*-1 and (94/(-10))/(207/(-45) + 5).
6
Let m = -41939 + 2935837/70. Find the common d