r of 105/242 and (-133)/(-385) + 57/(-76).
2420
Let u be 2 - ((-2380206)/(-132) - 6) - -5. Let z = 18023 + u. Find the common denominator of z and -101/12.
132
Suppose 2*f = 4, 2*c + 3 = -3*f + 7. Let u = 41 - -25. Calculate the smallest common multiple of 6 and c/((-3)/u)*1.
66
Let s(x) = -43*x**3 + 13*x**2 + 22*x. Calculate the least common multiple of 66 and s(-2).
1056
Let s = 45 + -48. Let v be s/(-122)*196/(-21). Let t = -615/244 + v. Calculate the common denominator of t and 29/18.
36
Let r(y) = 49*y**3 + 60*y**2 - 236*y. What is the lowest common multiple of r(4) and 12?
9456
Suppose 0*j + 3*j - 132 = 0. Calculate the lowest common multiple of j and 0 - (1 + 18/(-315)*7)*-10.
132
Let p(l) = -l**2 - 2*l + 3. Let i be p(-3). Suppose 199 = 20*h - 381. Suppose i = -6*w - h + 89. Calculate the lowest common multiple of w and 10.
10
Calculate the smallest common multiple of ((-228)/(-18) + -2)/((-4)/(-84)) and 168.
672
Suppose 279*n - 5*z = 275*n - 8, -5*z + 26 = 2*n. Calculate the least common multiple of 254 and n.
762
Let n = 1/426 - -15755/2982. Let m = -3581499/196 - -18273. Let g = 10699/1764 + m. Find the common denominator of n and g.
63
Suppose 22 - 4 = -3*x. Let n(j) = -14*j - 7. Let b be n(x). Suppose -3*y + b = 11. What is the least common multiple of 22 and y?
22
Let k = -24742499/210 - -117822. Find the common denominator of k and 23/45.
630
Suppose 5*p + 0*c = 2*c - 13, 3*p - 4*c = -19. Calculate the lowest common multiple of 290/30*(p - -4) and -8*4/4*-1.
232
Let j be ((-6)/4)/(33/176). Let n be j/(-6) - (-2)/3. Suppose 4*s + 3*b - 21 = 0, 6 - 19 = -n*s - b. What is the lowest common multiple of s and 9?
9
Calculate the common denominator of -121/6 and ((-243)/11739)/(290/(-1015)).
3354
Let h be 1 + -1 - (4 + 6 + -10). Calculate the least common multiple of 165 and (h - 68)/(-2) - (203 + -202).
165
Let g be 1/1 + (56162631/14069880 - 6). Let s = g - 1/39083. What is the common denominator of s and -73/8?
120
Suppose 0 = 3*k - 27 - 0. Suppose 72 = 5*b + 7*b. Suppose -b*j + k*j = 9. What is the lowest common multiple of j and 21?
21
Suppose 211 = 16*s + 19. Let x = 1249 - 1129. Calculate the lowest common multiple of x and s.
120
Let q be 2/(-8) + (-3967486)/(-719160). Let x = -1/5993 + q. Find the common denominator of 18/72 + (9/(-12))/((-18)/382) and x.
30
Let k = 12133 - 946393/78. What is the common denominator of 3/4 and k?
156
Suppose -191 = 3*v + 70. Find the common denominator of -18/31 and v/(-20)*((-44)/(-12) + -3).
310
Let x be (-400381)/(-44076) + 4/(-16). Let o be -1 - (198324/33057 - 7). Let i = x - o. What is the common denominator of 41/6 and i?
6
Let m be 9/(-15) + 220670619/(-30). Let q = m - -7348976. Let r = -6721 - q. Calculate the common denominator of -74/9 and r.
90
Let i be 1/(0 + 15/(-4) + 4). Suppose -3*x + 4 = -q - 5, -i*q = 4*x - 28. Calculate the lowest common multiple of (2/(-4))/((-3)/24) and x.
4
Calculate the common denominator of (171/3840)/((-588)/(-245)) and 39/1024.
1024
Suppose -1462 = -j + 2*d, 1467 = -89*j + 90*j - 3*d. What is the least common multiple of j and 20?
7260
Let f = 227410701/844 - 269444. Find the common denominator of -23/422 and f.
844
Let x(k) = -k**3 + 9*k**2 - 16*k - 5. Let z be x(8). Let s = z + -3. Calculate the common denominator of (-274)/s - 7/(-63) and 21/2.
12
Suppose -6*d - 31 = -4*k - 7*d, k + 5*d = 3. What is the least common multiple of k and 28?
56
Suppose -4*r + 8*r - 4*q = 1308, -4*r + 3*q + 1305 = 0. Calculate the smallest common multiple of 10 and r.
1620
Let d be -3*(21/9 + -3). Let t be (d/(-56))/(6/4430108). Let i = 26372 + t. Calculate the common denominator of -101/4 and i.
84
Let d = 285 + -275. Calculate the smallest common multiple of (0 + 5/1)*32/d and 12.
48
Let i(h) = -h**3 - 7*h**2 - 7*h. Suppose 51 = 3*s + 3*t, 30 = -22*t + 28*t. Calculate the least common multiple of s and i(-6).
12
Let z(i) = i**3 + 4*i**2 - 6*i - 24. Let t be z(-5). Calculate the common denominator of -13/33 and t/(-5)*(-8)/36*3.
165
Suppose k = -2*a + 6, -10*a = -8*a. Find the common denominator of -13/10 and (180/430)/(1 - 15/k).
430
Let g(y) = -11*y**2 - 4*y + 5. Let j be g(2). Let h = j + 62. What is the common denominator of (-6)/h + (-1755)/50 and 61/14?
14
Calculate the smallest common multiple of -4 + (255 - 10) - (1 - 7) and 27.
6669
Let q = -5385/28 - -289817/1512. Find the common denominator of 115/56 and q.
1512
Let w = -571581 + 603018012/1055. Calculate the common denominator of w and -67/20.
4220
What is the least common multiple of ((-455)/(-26))/(1 + (-1)/(-4)) and 24248?
24248
Let p be (-8)/10*(-35)/(-14). Calculate the common denominator of 1 + (-2040)/36*(-3)/(-66) and (-712)/210 - p/10.
231
Let f(t) = 57*t**3 + 2*t**2 - 55*t + 54. What is the lowest common multiple of 190 and f(1)?
5510
Let q = 676 - 672. Let b(k) = -2*k + 32. Calculate the smallest common multiple of q and b(-4).
40
Let d(z) = 2*z**2 + 30*z + 78. Suppose 0 = 2*y, -2*y + 6 = 2*t - 4*y. Calculate the lowest common multiple of d(-3) and t.
6
Let n(w) = w**3 - 5*w**2 - 19*w + 6. Let u be n(8). Let c = u + -98. Let b = c + 19/2. Find the common denominator of 23/78 and b.
78
Let d be 14/49 + (-1)/(14/(-5484)). Suppose d + 202 = 22*t. Calculate the least common multiple of t and 3.
27
What is the lowest common multiple of 12 and 7/((-56)/6) + 1449/28?
204
Suppose v + 33 = -2*q, -q + 2*q + 2*v = -18. Let d(a) = 21*a - 116. Let i be d(6). What is the smallest common multiple of (-72)/i*40/q and 22?
198
Let b(a) = 4*a - 20. Let g(r) = -20*r + 100. Let m(x) = -16*b(x) - 3*g(x). Suppose 0 = -3*d - 5 + 17. What is the least common multiple of m(d) and 2?
4
Suppose 0 = 2*q + q - 3*s - 186, -4*q = 2*s - 212. Calculate the lowest common multiple of q and 376.
2632
Suppose 0 = m + j - 2, m + 2*j - 4 = -2. Suppose -m = 2*d + 2*b, -10*b - 20 = -5*b. Calculate the lowest common multiple of 1 and d.
3
Let m = -872913/68 - -12837. What is the common denominator of 11/43 and m?
2924
Let j = 102136 - 11439317/112. Calculate the common denominator of j and -133/276.
7728
Suppose 147 = n - 2*p + 26, -n = 2*p - 121. Let u(h) = 4*h**2 + h - 1. Let j be u(-1). Suppose 11 = j*i - n. Calculate the least common multiple of i and 10.
330
Let h be ((-39)/9)/((-1)/(-6)*2). Let r = 9 + h. Find the common denominator of -44/5 and r + (0 - (-274)/20).
10
Suppose -3002 = -i + 2*t, -8*t + 11*t + 32946 = 11*i. What is the least common multiple of i and 5?
14970
Suppose 13*p + 14 = -12. What is the least common multiple of 6 and (-6417)/(-345) - p/5?
114
Let q = 4012/1359 + 24/151. Let a = 1/322 + -29639/4830. Find the common denominator of q and a.
45
Let c(a) = 69 + 42 + 4*a - 80. Let y be c(-7). Suppose 5*x - 33 = -4*z, 0 = 2*x + z - y*z - 24. Calculate the smallest common multiple of x and 33.
99
Let g(i) = i + 18. Let j be g(-11). Suppose -j*b - 7548 = 3372. What is the common denominator of 26/b*(1 - 323) and 62/21?
210
Let l = 345615/8 + -43198. Find the common denominator of l and 298/48 - 4/6.
24
Find the common denominator of 17/879 and 16 - (416/507 + 15).
11427
Suppose -a + 18 = -2*d, 3*a - 7*a + 4*d + 60 = 0. What is the lowest common multiple of (5 - (-10943)/21) + (34 - (-7876)/(-231)) and a?
3156
Suppose 5*d - 578 = 1182. Calculate the least common multiple of d and 288.
3168
Let m = -5 - -10. Let d(z) = 2*z + 6. Let s(n) = 6. Let b(g) = -2*d(g) + 3*s(g). What is the smallest common multiple of b(-1) and m?
10
Suppose 1228*v - 5466 = 1165*v - 1308. Calculate the smallest common multiple of v and 3156.
34716
Suppose -3*u = 3*q + 168, -126 = 2*q + 4*u - 9*u. Let o = q - -142. What is the common denominator of -103/80 and (-18)/(-126) + (-719)/o?
240
Let u be (-139)/(-1) + (4 - 4). Suppose 135*s + 4 = u*s. What is the lowest common multiple of 195 and s?
195
Let a(w) = 4*w - 2. Let m be a(1). Suppose 68 = -m*u - 54. Calculate the common denominator of 73/30 and u/(-6) + 4*(-4)/(-16).
30
Let s = 101/151 - -11015/3624. Suppose -3*a + 6894 = 3*n, -4*a + n + 12638 = 3431. Let y = 41501/18 - a. What is the common denominator of s and y?
72
Let r = -8 - -16. Find the common denominator of 2/r + 29/(-84) and (-66)/165 - 118293/(-42570).
462
Let c(v) = -v**2 + v + 219. Let y be c(15). Suppose 4*f - y = -5*p + 8*