 z be o(d). What is the common denominator of (-368)/270 - 4/z and -23/30?
270
What is the common denominator of -104*1167/(-76230) - 1176/735 and -1/9?
7623
Let r = 137 + -1115/8. What is the common denominator of r and 23/517?
4136
Suppose -3*y - 387 = -6*y - 3*k, -3*y + 3*k + 387 = 0. Suppose -o + 40 = -4*i + y, -4*o = 5*i - 85. Calculate the lowest common multiple of i and 3.
21
Suppose 792*s - 7104 = 768*s. Calculate the least common multiple of s and 1924.
3848
Let v = 93 - 114. Find the common denominator of v/(-84) + ((-34)/20)/1 and (-404)/(-10)*5/(-20).
20
Let l = -2354 + 4064. What is the lowest common multiple of 18 and ((-16)/(-3))/((-19)/(l/(-12)))?
360
Let g = 61461/8 + -7671. Calculate the common denominator of g and -83/80.
80
Let u(m) = m - 7. Suppose -3*q + 31 = 13. Let b be u(q). What is the smallest common multiple of 23 and 3*b + (3 - -4)?
92
Let r = 11/23 - -373/230. Calculate the common denominator of ((-49)/9)/((-13)/(78/80)) and r.
120
Let b(d) = d**3 - 4*d**2 + 23*d - 65. Suppose 3*n + n - 483 = 5*f, -2*n + 228 = 2*f. What is the lowest common multiple of b(4) and n?
351
Suppose 7*j - 3*j = 224. Suppose -m = 3, 2*x = -0*x + 4*m + j. Let r = 28232 - 28182. What is the smallest common multiple of r and x?
550
Let x be ((-5)/(-7))/((-3)/(-21)). Suppose -x*z + 0*m - 5*m + 80 = 0, 0 = 3*z - 2*m - 58. What is the common denominator of -5 + 0 + (-1892)/(-264) and z?
6
Let y = -2581099/28 + 92183. Let b = 155/32 - 325/96. Find the common denominator of y and b.
168
Let z be (216/(-15))/(1 - 26/20). Let d = z - 42. Suppose -2*m + 4*a = -10 - d, 28 = 4*m - 4*a. Calculate the lowest common multiple of 22 and m.
66
Calculate the common denominator of (-8388)/480 + (-18 - -35) and ((-3)/(-144))/((-12)/(-873)).
320
Let x = -7097 + 312251/44. Find the common denominator of x and 159/48*-2 - (3 + -3).
88
Let b be (1 + -7)/(3/(-2)) - 34. What is the common denominator of 177/12 - b/10 and -5 + 7 - 6/4?
4
Suppose -25 = -n - 30, u = -5*n + 68. What is the smallest common multiple of 11 and u?
1023
Suppose 19*d - 140 = 5*d. Suppose 2*l + 32 = d*l. Calculate the least common multiple of 16 and l.
16
What is the common denominator of (-5)/(-6)*3/240*(-46492)/2955 and -53/36?
360
Let a(t) = 5*t + 3. Let z be a(4). Suppose 0 = 3*i - 7 - z. What is the lowest common multiple of i and (4 - 28)/(-6) + 6?
10
Suppose 294*d - 26135 = 89113. Calculate the smallest common multiple of d and 245.
1960
What is the common denominator of 46/5379 and (-14)/(-105) - ((0 - -6) + (-2140)/1200)?
21516
Let u = -7 - -12. Suppose -5*n = x - 71, -u*n + 31 = 2*x - 36. Calculate the common denominator of n/(-175)*(1 - (-197)/(-2)) and -52/9.
126
Let f be (11 - 261944)/((-2)/(-2)) + -4. Let r be f/28 - (-21)/42. Let d = r + 9358. Calculate the common denominator of d and 83/4.
28
Suppose -309*q + 22 = -298*q. What is the lowest common multiple of q and 258?
258
Let p be ((-8)/6)/(12 - 280/21). Calculate the common denominator of p - (-374)/48 - (7 + -1) and 3/70.
840
Let y(i) = 2*i**2 + 8*i - 63. Let b be y(-11). Let f = -80 + b. Calculate the lowest common multiple of 33 and f.
33
Let c = 135 + -67. Find the common denominator of (-18)/(-30)*(-355)/(-9) + -7 and (2/21)/(2/c).
21
Let z(o) = -100*o - 16611. What is the least common multiple of z(-168) and 504?
1512
Suppose 4*s + 3*d - 14 = 6*s, -4*s - 64 = 3*d. Calculate the smallest common multiple of (2 + -1)*(s + 48) and 14.
70
Let d = -1/142481 - -10402958/262877445. What is the common denominator of d and -26/5?
1845
Suppose 76 = 20*v - 24*v. Let r = -51 - -80. Let a = v + r. What is the smallest common multiple of a and 18?
90
What is the common denominator of -25/2561 and (10 + (-1412)/144)/((-2)/(-8))?
23049
Calculate the common denominator of -115/24 and (-3589)/410 - 7/(-28)*36.
4920
Let c = -117 - -121. Suppose 2*t + c*j = -286, 3*j + 0 = 3. Find the common denominator of -95/12 and 3277/t*(5/12)/1.
12
Let s(a) = -48*a**2 + 76. What is the least common multiple of 28 and s(0)?
532
Let h = -813 - -696. Let a = 100 + h. Find the common denominator of 47/32 and a.
32
Let j = -257 + 367. Suppose -5 = -57*a + 58*a. Calculate the common denominator of -19/6 and 111/j + 3/a.
66
Calculate the common denominator of (-8)/(-2) + 177466/(-44055) and 169/900.
9900
Let b = 0 - 1. What is the least common multiple of (-4 + -29)/(-3) + 1 + b and (-11)/(-2) + (-1)/(-2)?
66
Let y = 3573 + -1923. What is the least common multiple of 330 and y?
1650
Let c = 20649/12025 - 55/962. Let u = 52207 + -208927/4. What is the common denominator of u and c?
100
Let w = -38 - -62. Calculate the common denominator of (-1)/(-2)*268/w and ((-928)/(-80))/(6/5).
12
Let f = -4967/8 + 617. Let x = 42139/12 + -3505. What is the common denominator of x and f?
24
Suppose -3*q + 51 = -3*v, -5*q + 78*v = 80*v - 92. What is the lowest common multiple of 2666 and q?
23994
Suppose -2*p + 2*h + 458 = 0, p + h - 473 = -p. What is the lowest common multiple of 378/2*(-51 - -60 - 171/21) and p?
2106
Let u(s) = 13*s - 2. Let j be u(9). Suppose 2*w - j = -27. Suppose -5*i - 3*y = -w, -4*y - 3 = 5. Calculate the least common multiple of 20 and i.
20
Calculate the common denominator of 370/(-4)*((-396)/(-23160))/33 and -117/28.
5404
Let m = 7308245/138 + -52959. What is the common denominator of -97/84 and m?
1932
Let t = 59215 + -3197737/54. Calculate the common denominator of t and -46/1041.
18738
Suppose -46*h + 37*h - 2832 = -17*h. Calculate the smallest common multiple of 531 and h.
1062
Suppose 1112*y - 1110*y = -s + 1065, -5*s - 1656 = -3*y. What is the least common multiple of y and 3222?
3222
Suppose 13*a - 76*a = 148*a - 87776. What is the lowest common multiple of 52 and a?
416
Let l be 4/39*3/(-36)*-168159. Let h = l - 10776/13. Let w = h + -18589/30. Calculate the common denominator of 23/8 and w.
40
Find the common denominator of (-29)/(65/(-39) + 3) and 7/240.
240
Suppose 24 = 4*r + 4*i, -r + 7*i - 10*i + 16 = 0. Let a(h) = 152*h**3 + 3*h**2 - 7*h + 6. Calculate the lowest common multiple of 18 and a(r).
1386
Let j = 19121 - 19093. Calculate the smallest common multiple of 2720 and j.
19040
Suppose -103 + 56 = -f. Let x be (10/6)/((-75)/(-270)). Calculate the smallest common multiple of 1/(2 + (-9)/x) and f.
94
Let b = -437 + 928. Let p = b - 403. What is the smallest common multiple of 112 and p?
1232
What is the common denominator of 35/176 and (-1 - 4) + (-3151)/(-1012)?
176
Let o(b) = -b**3 + 7*b**2 - 6*b + 2. Let n be o(4). Suppose -f + 13 = -3*m, 5*m - 10 + n = -4*f. What is the least common multiple of f and -1 + (-6)/2*-1?
2
Calculate the common denominator of 16/(384/(-36))*248/450 and -119/250.
750
Let c = 640599569901/1930 - 331916883. Let w = -20/193 - c. Calculate the common denominator of -49/3 and w.
30
Let k be ((-21)/42)/((-2)/(-24)) - 16. Let s = -10 - k. Suppose 0 = 2*d + 5*p - 71, 0 = -5*d + d - 5*p + 137. Calculate the smallest common multiple of s and d.
132
Suppose 4*f = -h + 1226, -f - 59*h + 64*h = -296. Calculate the least common multiple of f and 11.
3366
Suppose -2*p + 3*b = -409, -3*b = -5*p + 57 + 988. What is the lowest common multiple of 7 and p?
1484
Let l(z) = 4*z**2 + 53*z + 210. Calculate the lowest common multiple of 24 and l(-8).
168
Let j(b) = 2*b + 44. Let w be j(4). Calculate the lowest common multiple of (36/(-24))/((-2)/4) and (-4)/(-5) - w/(-10).
6
Suppose -5*v = -2*v - 5*k + 450993, 300660 = -2*v + 4*k. Let p = 16236169/108 + v. Calculate the common denominator of p and -121/48.
432
Suppose 3*t = 5*v - 106, 3*t + 0*v = 2*v - 91. Let d(p) = -2*p - 75. Let c be d(t). Let h = c - -37. What is the lowest common multiple of h and 9?
144
Suppose -3347 = -23*r + 2173. What is the least common multiple of 48 and r?
240
What is the common denominator of -101/1672 and (42576/6897 - 24/132) + 6/(-1)?
18392
Suppose 3*v + z - 240 = 0, -v + 3*z + 28 = -62. What is the smallest common multiple of 16 and v?
1296
Suppose 2*i + 2 + 0 = 0. Let j(q) = -52*q + 34. Let o be j(3). What is the lowest common multiple of 46/207 + i/(18/o) and 1?
7
Let x(r) = -7*r + 105. Let z(f) = -f + 1. Let v(t) = -3*t - 15. Let n(l) = -v(l) - 4*z(l). What is the least common multiple of n(0) and x(14)?
77
Suppose 4*c + 2*a - 522 = 0,