e -29*j - 860 = -8284. Calculate the least common multiple of (-30)/(-75) - j/(-10) and 12.
156
Let n be (-15)/20 - (-12802)/8. Let z = n + -1631. What is the common denominator of 8/(1280/1010) + (-9)/12 and z?
16
Let t = 4/2483 + 191143/29796. Calculate the common denominator of -67/36 and t.
36
Suppose -4*n = 0, 2*y + 3*n - 3 - 7 = 0. Calculate the smallest common multiple of (2064/(-96) - -19)/(3/(-6 - 0)) and y.
5
Find the common denominator of 33/342 + 1*-1 and (-605)/156 + (-474)/(-1027).
228
Calculate the common denominator of 4/9 and (-8)/2 - (-9 + (-38401)/(-7656)).
2088
Let k be (-5 - -6)*(-6)/(-67197). Let o = k + 828587/1971112. Let a = o - -1/8. What is the common denominator of a and -97/4?
44
Let i be (7578/(-1666))/(4/(-14)). Let d = 85/18 - 4109/306. Let v = i + d. What is the common denominator of v and -99/14?
14
Suppose 2*b - l + 362 = 0, 3*l - 186 = b - 0*b. Find the common denominator of (-166)/(-1)*1/24 and (-8)/(-36) - -127*(-5)/b.
12
Let r(j) = -991*j. Let v be r(1). Let i = v - -645. Find the common denominator of -31/28 and (-4)/30 + i/(-120).
28
Suppose -91 + 1 = -10*d. Calculate the common denominator of ((-1513)/1632)/(d/(-12)) and 29/96.
288
Let a = 12703/18 - 700. What is the common denominator of a and (-20)/(-8)*(-113)/(-25)?
90
Let k = 3173/4 - 19145/24. Let d = 5/3 - k. Calculate the common denominator of d and -83/60.
120
Suppose 0 = -53*z + 57*z - 3*v - 1887, -2*z + 3*v + 951 = 0. Calculate the smallest common multiple of z and 99.
5148
Suppose -390 = 11*b - 8*b. Let z = b - -268. Calculate the smallest common multiple of z and 18.
414
Let o = 85 + -80. Suppose 3*w - 39 = 3*q, 13 = w - 2*q - o. What is the smallest common multiple of w and 20?
40
Suppose v + 2*v = 5*s + 205, -3*v = -3*s - 201. Calculate the common denominator of -51/32 and v/(-13) - (-1 - 482/76).
608
Suppose 2*w - 13*w = -176. Suppose -2*m - w = -2*x, -x - 3*m + 14 = 2. What is the smallest common multiple of x and 60?
180
Suppose -159*t + 147*t = 12288. What is the common denominator of -61/2 and ((-9)/(-60)*5)/((-120)/t)?
10
Suppose -7*m - 2 = -16. Suppose -3*w - 2*w - 25 = 0, m*s = 2*w + 18. Suppose 3*u - v = s*v + 35, 3*v = 5*u - 69. What is the lowest common multiple of 3 and u?
15
Let l be (-2 - -6) + -12*(2 + -1). Let u(x) = x**2 + 6*x - 12. Let d = 9 + 5. Calculate the lowest common multiple of u(l) and d.
28
Let y(n) = n**2 + 5*n - 39. Let s be -2*-1*(-1)/(-2)*-9. Let z be y(s). Calculate the common denominator of 35/34 and z/6 + (-159)/15.
170
Let m = 3760894 + -3760883. Suppose 0 = 5*f + 5, -5*w - 476 = -2*f - 2*f. Let a = -30 - w. What is the lowest common multiple of a and m?
66
Let u = -38 - -30. Let w(x) = x**3 + 9*x**2 + 6*x - 11. Calculate the lowest common multiple of w(u) and ((-6)/24 + (-111)/(-12))*1.
45
Calculate the smallest common multiple of 12 and (((-1)/(-1))/((-6)/9))/((-27)/9612).
1068
What is the common denominator of -1/1419 and (23 + (-1273)/57)/(24/178)?
8514
Let p be ((-16)/(-18))/(48/216). Suppose p*m = 4*z + 84, 0 = m + z - 3*z - 18. What is the least common multiple of m and 12?
24
Let m(d) = -d - 9. Let r(q) = q**2 - 8*q + 16. Let w = -123 + 128. What is the least common multiple of r(w) and m(-11)?
2
Let i = -196701043/20 + 9830753. Let m = -4298 - i. Find the common denominator of 98/32 + 15/(-10) and m.
80
Let c = 218 + -222. Let r(l) = l**3 + 5*l**2 - 3*l. Calculate the lowest common multiple of (-13)/(130/c)*15 + 48 and r(-5).
270
Suppose -m + 1276 = 3*d, 0 = -4*d - 4*m + 243 + 1453. What is the least common multiple of d and 71?
426
Calculate the common denominator of 65/4 and (-5814)/(-228)*(-2)/49.
196
What is the lowest common multiple of (-2 - -1)*(-36 - 94) and 117?
1170
Let l = -3 + 29. Calculate the lowest common multiple of l and 4662/222 + (-20)/(-15)*-3 + -3.
182
Let r = -20624 + 536125/26. What is the common denominator of r and ((-93)/102)/(176 - 175)?
442
Calculate the common denominator of -110 - -100 - 9698/(-970) and 53/388.
1940
Find the common denominator of 23/5152*-24*43/24 and 101/352.
2464
Let b = 225 - 198. What is the smallest common multiple of b and 64?
1728
Let b = 30799 - 30247. Calculate the lowest common multiple of 690 and b.
2760
Let n = 5504 - 66077/12. Find the common denominator of -13/88 and n.
264
Suppose 0*f - 5*f = 0. Suppose f*m - 5*a = -m + 88, -3*m + 3*a = -240. What is the smallest common multiple of 21 and m?
546
Let i = 2/6701 - 221249/388658. Suppose 0 = 5*m + 10, 1 + 1 = -y + m. Calculate the common denominator of i and y.
58
Let i be 5270/(-102) + (-2 - (-2)/2). Let s be (-3 - -5) + (9830/(-36))/5. Let v = s - i. What is the common denominator of v and 109/20?
180
Let h be (-3)/12*44696/828. Let c = h - -166/23. Calculate the common denominator of c and 107/24 + (-4)/(-24).
72
Let n(l) = l**2 - 5*l - 4. Let x(d) = 2*d**2 - 9*d - 8. Let t(j) = -7*n(j) + 4*x(j). What is the least common multiple of t(-2) and 4?
4
Let d be 4/(-34) + (-1330)/(-1190). What is the smallest common multiple of d/(-2) + 711/18 and 27?
351
Let n(z) = 25*z**2 + 23*z - 27. What is the lowest common multiple of 483 and n(1)?
483
Let w(m) = m**2 - 29*m + 12. Suppose 0 = 2*z - 82 + 24. What is the least common multiple of w(z) and 18?
36
Suppose -140*o + 9387 = -67*o - 70*o. Calculate the lowest common multiple of o and 2.
6258
Let d = -1/34 - 933/68. Let v = 66110 + -267389/4. Let k = 724 + v. Find the common denominator of d and k.
4
Let c = -1082141/33150498 + -34/15801. What is the common denominator of c and 91/6?
6294
Let x = -6052 - -108965/18. Find the common denominator of x and (-6)/(-8) + 1644/432.
18
Let t be (-14)/(-6) - 2/6. Find the common denominator of ((-1)/44)/(t/188) and (-4090)/(-440) + 12/(-22).
44
Let b(n) = n**2 - 24*n - 137. Calculate the lowest common multiple of b(-5) and 152/(-266) - 74/(-7).
40
Let q = 11324 + -11300. Calculate the smallest common multiple of 9 + -2 + 0 + 1 and q.
24
Let c(f) = 1192*f - 14292. Let y be c(12). Let o = -1 - -1. Calculate the common denominator of ((-34)/y - (o + -2)) + -2 and 51/10.
30
Let v(g) = 15*g**2 - 10 - 14*g + 0*g**2 + g**2 - g**3. Let z be v(15). Calculate the least common multiple of 2 and z/(30/(-4))*-12.
8
Let r(v) = -10*v**2 + 41*v. Let f be r(4). Suppose -4*d - 2*q = -156, f*d + q - 52 = 104. Calculate the lowest common multiple of d and 39.
39
Suppose 2*x = -10, 2*v - 50 - 5 = -5*x. Calculate the common denominator of 19/60 and 78/v*((-39)/(-9) - 4).
60
What is the common denominator of (-124)/(-64)*(-4 - 2) and 67/(-2)*(-22)/429?
312
Suppose -3*d - d + 3*r = -132, 0 = -d + 3*r + 24. Suppose d*a + 4956 = 40*a. Let g = a - 13576/11. What is the common denominator of 68/9 and g?
99
Let k be 2906/(-24) + (0 - 6). Let p = k - -251/2. What is the common denominator of p and 91/108?
108
Suppose 2*k = 25 - 15. Suppose 8*i - 220 = -k*n + 13*i, 0 = -i + 4. Calculate the lowest common multiple of 22 and n.
528
Let s be 0 + ((-265163)/(-50))/(-1). Let t = 5303 + s. Let y = -1293/22 - -666/11. Calculate the common denominator of y and t.
550
Let c = 74279939/650 - 114277. What is the common denominator of 67/1950 and c?
1950
Let r be 1*20*14/7. Suppose g + 2*g - 4*f = 24, 0 = -5*g + f + r. Suppose 22*m + g = 26*m. What is the lowest common multiple of 44 and m?
44
Suppose 2*g + 5*i = 14, 4*g - 64 + 18 = -i. What is the least common multiple of 20 and 0/35 + (0 + g)*6?
360
Let p = 63/12324217 - 259554356992448/135566387. Let q = 1916489 + p. Let z = q + -1893. Calculate the common denominator of z and 17/6.
66
Let s be (-541)/((((-5)/5)/(-1))/(-1)). Let z = s + -1059/2. What is the common denominator of -77/46 and z?
46
Calculate the smallest common multiple of ((-105)/6 - -13)*-74 and 296.
2664
Suppose i = l - 7 + 4, -3*l = i + 7. Calculate the common denominator of ((-16)/(-7))/i*17/2 and 33.
7
Let a = 218 + -216. Let v(b) = 2*b**3 - 2*b - 2. What is the least common multiple of v(a) and 7?
70
Let b = -8897228/35 - -254206. Calculate the common denominator of b and (-38)/(-5)*(-6)/56.
70
Find the common denominator of ((-31)/(-124))/((-6)/572*-2) and (-4881)/(-1166) - 4 - (-8)/44.
636
Let q be (2/15 + (-505)/75)*-10. Suppose 0 = -15*f + q + 474. What is the smallest common multiple of f and 16?
144
Let m = 544