-17/219.
1971
Let b(g) = 12*g + 6. Suppose -4*m = 12, 3*m + 0*m = 4*a - 57. Let t be (-2 - -8) + (-48)/a. What is the smallest common multiple of b(t) and 9?
90
Find the common denominator of -356*(-45)/1760 - (-9)/33 and -31/266.
1064
Let a(r) = -7*r**2 - 11*r**2 - 5 - r**3 - r**2 + 2*r**2 - r. Let s be a(-17). Suppose -s*o = -14*o + 16. Calculate the lowest common multiple of 4 and o.
8
Let t = -2/5679 - 584813/352098. Find the common denominator of t and 65/248.
248
Suppose -837 = -16*b - 11*b. Suppose -4*x - 5*n - b = -83, -4*x + 44 = 3*n. What is the smallest common multiple of x and 24?
24
Find the common denominator of -17/1706 and (-17217)/(-702) + (-96)/(-312).
5118
Suppose -g + 23*g = -132. Find the common denominator of 59/28 and g/8 + (-2712)/(-1056).
308
Let l = 331991/98580 + -7/6572. Find the common denominator of l and (-3)/12*-3 + (-2583)/2052.
570
Let j = 254/47 - -5197/282. What is the common denominator of j and 4/(-54) + (-470)/(-5400)*10?
54
Let a = -13550 + 13601. Calculate the least common multiple of 1785 and a.
1785
Let g = 1685/333 - 56/111. Find the common denominator of g and (4/(-846))/((-1352)/(-102414)).
846
Find the common denominator of (-1)/(-6)*(-2660)/(-700) and (-1 + -2)*(-226)/216.
180
Let x = 1063 - 1. Let h = x + -942. Calculate the lowest common multiple of 28 and h.
840
Suppose -3*g + 6*c - 4*c = -423, -5*c + 141 = g. Let r = -137 + g. Suppose 12 = 3*s - 0. What is the least common multiple of r and s?
4
Let y(s) = -s**2 + 32*s - 171. Let p(m) = -10*m - 76. Let v be p(-10). Calculate the lowest common multiple of y(v) and 78.
546
Let v = -4 - 1. Calculate the common denominator of 6743/(-330) - (-2)/v and 174/(-116)*(-50)/8.
24
Let s = 32640 + -2284837/70. Find the common denominator of s and 9/15 - ((-1856)/(-420))/(-2).
210
Let i(l) = l + 1. Let g be i(-6). Let u = -1/8728 - -130927/61096. Find the common denominator of ((-2)/(-62))/(g/(-245)) and u.
217
Let f = 4523/3 + -1486. Let s be 95/44 - -1*3/4. Let c = 1373/264 - s. Find the common denominator of f and c.
24
Let o = -3232 + 3324. What is the least common multiple of o and 16?
368
Let n = 2921 + -2894. What is the smallest common multiple of 54 and n?
54
Let p = 70 + -7. Let o = -2/331 - -15565/1324. Calculate the common denominator of o and (-4 - p/182) + 5.
52
Suppose -5*p - 5 = -r, r + 5*p - 6 = -1. Suppose r*o - 297 = 47893. Let m = -173603/18 + o. What is the common denominator of 38/9 and m?
18
Suppose 9*i + 0*i = 135. Suppose -i*h - 5*o = -13*h - 26, -5*o = -h - 2. What is the least common multiple of h and 251?
2008
Let s = 49 - 31. What is the smallest common multiple of (8/6 + (-13)/12)/((-14)/(-336)) and s?
18
Suppose 43*l + 129 = 253 + 650. Calculate the least common multiple of l and 377.
6786
Calculate the common denominator of 2142425/66900 - 27 - (6 - 1) and 17/4.
2676
Let i = 14/1247 + 120595/32422. Calculate the common denominator of i and 113/90.
1170
Let g = 22 - 47. Let b = -18 - g. Let l(t) = t**2 + 8*t + 5. What is the least common multiple of l(-8) and b?
35
Let a = -39 - -33. Calculate the lowest common multiple of 8 and (2 + -1)*(-30)/(a/2).
40
Let z be 336/(-60) + 6 + 46/10. Suppose -z*x = 2*w - 76, 0 = 5*w + 3*x - 367 + 139. What is the smallest common multiple of 24 and w?
48
Suppose 5258 = 390*m + 247*m - 1112. Let a = -28 - -44. What is the least common multiple of m and a?
80
Let s = 4755 - 3771. What is the smallest common multiple of 615 and s?
4920
Suppose 54 = 2*y + 40, -2*l = -y - 323. Calculate the least common multiple of 1089 and l.
5445
Let o be (-7992)/56 + (4/(-7))/2. What is the common denominator of (-102)/153 + o/(-354) and 57/16?
944
Calculate the common denominator of (16 + (-10150)/504)/56 and 11/448.
4032
Suppose -4*n + 1538 = 4*q - 1218, 2*q + 2032 = 3*n. What is the lowest common multiple of n and 372?
4092
Let d = 197 - 80. Let r = 2105/18 - d. What is the common denominator of r and 1005/(-450) + (1 - 2) + 4?
90
Suppose -16*b + 15*b = -489. Suppose 4*p - b = -21. Calculate the lowest common multiple of 3 and (p/(-52))/((-3)/8).
6
Let f = -2803/668 - 9/167. Calculate the common denominator of -37/488 and f.
488
Let n(h) = -3*h + 3. What is the smallest common multiple of n(-7) and (4 - 1078/(-15)) + ((-10)/(-75) - 0)?
456
Let q be (1 - 2)/(4*8/(-5120)). Suppose -2*k - 6*k + q = 0. Calculate the smallest common multiple of k and 12.
60
Let h(t) = t**2 + 12*t - 442. Let k be h(16). Suppose a + 3*q = -14, -2*a = 4*q - 1 + 21. Let z = a + k. Calculate the lowest common multiple of 2 and z.
4
Let m(d) = -d**3 - 15*d**2 + 3*d + 17. Let i be m(-13). Let h = 3035/4 + -745. Find the common denominator of h and 22*(-86)/i + (-2)/(-15).
36
Suppose -y = y. Suppose -2*u - 6*u - 1536 = y. Calculate the common denominator of 57/10 and (16/u)/((-10)/(-162)).
20
Suppose 0*u = -4*u + 400. Let p(t) = t**3 - 3*t**2 - t + 4. Let z be (-8)/10 - (-96)/20. Calculate the lowest common multiple of u and p(z).
400
Let j = 1588725 - 4480204333/2820. What is the common denominator of j and -61/132?
31020
Let z(l) = 4*l - 3*l + 5 + 4 + 5 - 4. What is the least common multiple of z(12) and 154?
154
Suppose 0*q + 10 = 2*q + 2*g, 4*g = q - 5. Let d(k) = -2 + 0*k**2 - 5*k**2 + 9*k**2 - 5*k**2 + 13*k. Calculate the lowest common multiple of d(12) and q.
10
Let w = 2534 - 2531. Suppose -14 = -9*q + 13. Calculate the smallest common multiple of q and w.
3
Let a = 814 + -345. Let w = -459 + a. Let k = 11 + -3. What is the smallest common multiple of k and w?
40
Suppose 54*y - 346 = 553 - 251. What is the smallest common multiple of y and 3/((-6)/4)*-64?
384
Let o be -2*5/((-25)/(-1505)). What is the common denominator of ((-9)/63)/(8/o) and 67/70?
140
Let v be 4/(-12) - (12165/(-36036) - 0). Let m = -210/143 + v. Calculate the common denominator of m and -7/10.
140
Let k = -318/7 + 2666/63. Calculate the common denominator of 962/208 - 14 - 9/(-4) and k.
72
Let q be 844/43772*(-14)/8. Let g = 1522595359/1378818 + q. Let s = -7719/7 + g. Find the common denominator of s and -83/24.
72
Let n = 1481 - 1285. Calculate the smallest common multiple of n and (-178)/(-8) - 3/12.
2156
Let l = -2681/5 + 31667/60. What is the common denominator of l and 127/450?
900
What is the least common multiple of 132/(-1188) - 856/(-9) and 988?
4940
Let i(k) = -2*k**2 + 2*k - 1. Let z(s) = -12*s - 32. Let n(q) = -i(q) + z(q). What is the smallest common multiple of 25 and n(9)?
25
Calculate the lowest common multiple of (-1)/(21/14)*225/(-30) and 2/8 - 556/(-16).
35
Let t = 110340326911/110 + -1003125269. Let l = -31387 - t. What is the common denominator of 43/99 and l?
990
Let y be -87*((4 - 1) + 11/(-3)). Suppose g = 6 - y. Calculate the lowest common multiple of g/(-65)*(6 - 1) and 4.
4
Let v be 12516/105 + (-4)/(-5). Suppose -43*q - v = -47*q. What is the least common multiple of 55 and q?
330
What is the smallest common multiple of 1230 and (264/(-99))/((3/18)/((-10)/4))?
4920
Let j = -6063 + 3201241/528. What is the common denominator of j and 17/336?
3696
Suppose 19 = -30*d + 31*d + k, 4*d - 36 = 4*k. Calculate the lowest common multiple of d and 43450.
304150
Calculate the common denominator of -119/24 and 4 - (-3052)/(-1320) - 45/(-75).
264
Let t = 2/12729 + -108909/33944. Find the common denominator of -29/262 and t.
3144
What is the common denominator of (-1)/2*(444/(-20))/(6699/105) and -121/348?
3828
Let r = 4/5 - -11/10. Let y be 1133226/(-203840) + 6 + 3/(-5). Let p = 2/637 + y. Find the common denominator of r and p.
160
Let b(k) = -2*k + 17. Let n(g) = -3*g + 35. Let x(q) = 10*b(q) - 4*n(q). Let i be x(8). Find the common denominator of 5/2 and (-40)/(-16)*i/(-8).
8
Let n(k) = 5*k + 38. Let j be n(-7). Suppose 3*l - 27 + 9 = -4*d, 0 = j*l - d - 18. Calculate the least common multiple of l and 26.
78
Suppose -5*t + 0*v = v - 161, -v - 127 = -4*t. Calculate the smallest common multiple of 2/(-22)*-21 + (-7904)/(-86944) and t.
32
What is the common denominator of (880/231 - 7)/3 and 29/42?
126
Find the common denominator of -101/104 and 4/(-5) + (-18921)/(-7420) - (-3)/(-8).
104
Let i(k) = -1632*k - 10866. Calculate the lowest common multiple of i(-9) and 208.
30576
Suppose 32 = 15*c - 13*c. Suppose 0 = -6*p + 2*p - 5*x + 24, -3*