
60
Let p = -2/57309 - 157371/38206. Find the common denominator of p and (-6)/(-2) - 222/63.
42
Suppose -2*c - 3*m + m + 6 = 0, -5*m - 3 = -4*c. Suppose 2*d + 3*v - 210 = -c*v, -10 = 5*v. Calculate the lowest common multiple of 4 and d.
220
Let m = 1/107 - 155/5136. Let u be (6/720*27)/((-6)/(-5)). Let b = u + m. Calculate the common denominator of -53/12 and b.
12
Let s(c) = -3*c**3 - 61*c**2 - 32*c - 208. What is the lowest common multiple of s(-20) and 320?
320
Suppose 5*g - 88 = 3*j, g + 11 + 5 = -j. Calculate the smallest common multiple of (-114)/(-9) - (-14)/j and 12.
12
Suppose 4*r = 2*f + r - 39, 5*f = 5*r + 90. Let k be (1 - 95/f)/(6/99). What is the lowest common multiple of (159/(-106))/(0 + 6/k) and 30?
330
Let k = 15/13051 + -985095/5455318. What is the common denominator of -1/152 and k?
1672
Calculate the common denominator of -23/642 and (1 + 1)/(-12) - (-19)/66.
7062
Let v = -427 + 221. Calculate the common denominator of 53/16 and (v/(-515))/(1*(-32)/(-98)).
80
Let n(o) = -30*o + 4248. What is the smallest common multiple of 18 and n(0)?
4248
Let i = 1283527/988 - 16875/13. Find the common denominator of (-9)/(-8) - 12/(-4) and i.
152
Let x = 3 + 5. Let f(m) = -m + 12. Let r be f(-18). Suppose r = -23*v + 28*v. Calculate the smallest common multiple of v and x.
24
Suppose 31 = 3*h - 35. Let v(a) = -16*a**3 + 2*a**2 + 3*a + 1. What is the lowest common multiple of h and v(-1)?
176
Let o = -12346 + 12391. What is the lowest common multiple of (-15)/2*(-252)/30 and o?
315
Suppose -s + 1 = 2*b, -3*b + 14 = 5*s - s. Suppose 4*p = s*p + 515. Let q = p - -5143/10. Find the common denominator of -41/7 and q.
70
Let l(v) = v**2 + 63*v - 478. What is the smallest common multiple of l(11) and 36?
1008
Let a = -1/602 + -4203/6622. Let k = 3188/38437 - -750468797/22408771. Let d = -372/11 + k. Find the common denominator of a and d.
583
Suppose 31*p - 37*p + 924 = 0. Suppose -p - 171 = -5*r. Suppose -62*s + r*s - 12 = 0. What is the smallest common multiple of 20 and s?
20
Suppose 0 = -4*t - 8 - 16. Let r(a) = -2 + 1 - 6*a**2 - a - 2 + 5 + 4 - a**3. What is the least common multiple of r(t) and 224?
672
Let j = 2127 - 2039. What is the lowest common multiple of j and 99?
792
Suppose 32865 + 37694 = 24*t + 17063. Calculate the least common multiple of t and 18.
13374
Find the common denominator of 1074/2160 - 8/(-44)*66/(-54) and 199/105 - (-14)/(-21).
280
Let r be 4 + (-309)/78 - 1/(-4). Let i = 597/364 + r. Find the common denominator of 99/14 and i.
14
Let b = 126 - 4198. Let t = b - -44837/11. What is the common denominator of t and 7/9?
99
Let z be (-56924)/(-475)*15/2. Let y = z - 94739/105. Find the common denominator of 32/111 and y.
777
What is the common denominator of (13*9/(-1206))/(-4) and -27/32?
2144
Let u = -32 + 22. Let y be (12/u)/(-6 - (-228)/40). Calculate the common denominator of -14/9 and y + (429/(-56) - 40/(-140)).
72
Suppose 9*t - 692 + 116 = 0. Calculate the common denominator of (-1)/3*(-408)/t and ((-1)/(-3))/((-10)/(-33)).
40
Suppose -175*z = 15*z + 39*z - 343500. What is the lowest common multiple of 120 and z?
3000
Let t = -13 - -24. Let q(k) = k**2 - 11*k - 36. Let j be q(15). Calculate the lowest common multiple of t and (-4)/j - -49*(-2)/(-12).
88
Let s = 1779/31120 - 66/389. What is the common denominator of s and -115/336?
1680
Calculate the least common multiple of 7370/50 + 3/((-105)/14) and 42.
294
Let h = -15/2513 - -10727/113085. Find the common denominator of 5/(-18)*(-12)/9 and h.
135
Let i(y) = 3*y**2 + 6*y + 12. What is the lowest common multiple of i(-6) and -1 + (13 + -15 - 10)*1/(-3)?
84
Let z(g) = -3*g**3 - 190*g**2 - 62*g + 102. Calculate the least common multiple of z(-63) and 2353.
7059
Let l(i) = -i**3 - 8*i**2 + 14*i + 49. Let p be l(-9). Find the common denominator of (1679/(-5336))/((-2)/p) and -19/20.
580
Let d(p) be the first derivative of -3*p**4 - 3/2*p**2 + 13 + 1/3*p**3 - 3*p. Calculate the smallest common multiple of d(-1) and 9.
117
Calculate the smallest common multiple of 26107 and (-3255)/(-455) - 12/78.
182749
Let q = 12487 + -250057/20. Let n = -9/10 + q. What is the common denominator of 137/36 and n?
36
Let t = 104 - 84. Suppose 2*f - 3*y = t, 2*f - 20 = -2*y - 2*y. Suppose -5*v + 2*r = 5*r - 28, v + 2*r = 0. What is the smallest common multiple of f and v?
40
Let a = -166/69 - -2011/138. Suppose 4*m + 5951 = -x, -3*m + 2*m = x + 1484. Let u = 14819/10 + m. What is the common denominator of a and u?
30
Let f(n) = -52*n**3 + n**2 + 2*n + 1. Calculate the smallest common multiple of ((-6)/8)/((-377)/9048) and f(-1).
468
Suppose 62*j = 57*j + 20545. Let q = -41193/10 + j. What is the common denominator of 32/197 and q?
1970
Let a = -2141/104 + 165/8. Let b be (-7)/((-7)/(-122)) + -11 + 7. Let u = -1457/12 - b. What is the common denominator of a and u?
156
Let h = 947669479/204496 - -208/12781. Let t = 4631 - h. Find the common denominator of -27/52 and t.
208
What is the common denominator of 189/120 + -3 + 1 and 3032/1248 - (1 + -8 + (-356)/(-52))?
120
Suppose 3*o + x = -2*o + 101, -5*o - 4*x = -89. Let q(b) = b**3 - 22*b**2 + 21*b + 12. Let c = -140 + 160. What is the least common multiple of c and q(o)?
60
Suppose -4*j - 851 = 160*j - 14627. What is the lowest common multiple of j and 12?
84
Let v be 4/(-14) + 960/224. Let n = -35/8 - -71/8. Find the common denominator of (4 + (-78)/18)*258/v and n.
2
Calculate the common denominator of 157/132 and 60/(-16)*1/(-1314)*52.
9636
Suppose 4*k + 6*j + 620 = 8*j, j = -k - 149. Let m = -146 - k. Calculate the smallest common multiple of 3 and m.
21
Suppose 2*w + 5 = 9. What is the least common multiple of w and 5 + ((-15)/(-12) - 20/16)?
10
Let n be 12/(-54) - 45933*40/135. Let o = 190641/14 + n. Find the common denominator of -71/10 and o.
70
Suppose -26*z - 14*z = 15*z - 1980. Calculate the lowest common multiple of z and 612.
612
Let f(w) = 10*w + 25. Let v be f(-9). Suppose -4*i - 85 - 503 = 0. Let g = v - i. What is the least common multiple of g and 2?
82
Suppose 3*d - 740*x = -744*x + 1369, 5*x = 2*d - 928. What is the lowest common multiple of d and 18?
918
Let m = 348 + -193. Let i = m - 102. Let t = i + -47. Calculate the least common multiple of 18 and t.
18
Let f(a) = 4*a + 21. Let t(s) = -21*s - 107. Let l(p) = 11*f(p) + 2*t(p). Calculate the lowest common multiple of l(-6) and 10.
10
Calculate the smallest common multiple of 132 and 150 + 132/(-55)*5/2.
1584
What is the common denominator of (24543/(-3240))/((-2)/(-16)*6) and 29/4427?
44270
Let u = 19150 + -19143. Calculate the smallest common multiple of 8673 and u.
8673
Let j(h) = -5*h - 15. Suppose -21*c = 14*c - 700. What is the lowest common multiple of j(-6) and c?
60
Let f = -75 - -78. Suppose 4*j - 2*d + f*d - 3927 = 0, 4*d = j - 986. Find the common denominator of 48/84 - j/(-168) and -44.
12
Let o = -254609035/792 + 321476. Find the common denominator of -121/324 and o.
7128
Let i(t) = -t + 1. Let o be i(1). Suppose -3939*n + 3928*n + 209 = 0. Calculate the lowest common multiple of (-4 + 3)/(-1 - o) and n.
19
Let v = 462/13 - 140331/3952. Find the common denominator of 173/1710 and v.
13680
Suppose 0 = -2*b + 5*b - 198. Suppose 140*n + 22 = 141*n - 2*c, 4*n - 3*c - 48 = 0. Calculate the smallest common multiple of n and b.
66
Let p(l) = -2*l**3 + 5*l**2 + 4*l + 13. Let u be p(5). Calculate the least common multiple of 3/(-2 + u/(-44)) and 24.
264
Let r = 1703117 + -4514963221/2651. What is the common denominator of r and -7/1446?
15906
Let b(t) = -84*t + 1760. Calculate the lowest common multiple of 12 and b(-60).
20400
Let t(i) = -8*i**2 + 6*i + 62. Let b be t(-12). Calculate the common denominator of 13/44 and (b/20)/7 - (8 + -12).
220
Let c = 13439 - 80525/6. What is the common denominator of c and (-146)/36 + (-1 - 0)?
18
What is the lowest common multiple of 19889/18 + 2670/(-540) + 5 and 595?
7735
Let a be (-320)/(-45) + (-1)/(-3). Let z = -55/6 + a. Find the common denominator of z and -23/12.
36
Let r = 8 - -2. Let y(b) = -6*b - 30. Let f be y(-3). Calculate the least common multiple of r and (f/(-21) - 1) + (-143)/(-7).
20
Let m = 62687 - 2758171/44. Let x(f) = -277*f + 1. Let h be x(-2). Find the common denominator of 6/(-10)*h/42 and