e 4*n - 221 = 119. Let b = -569357/40 + 14236. What is the common denominator of (-2)/2 + n/(-80) and b?
80
Suppose 1528 = 68*h - 8020 + 2068. What is the lowest common multiple of h and 42?
2310
Let y be 8/(16/6) - (10 + -3). Let c(k) = k**3 + 3*k**2 - 13*k - 10. Calculate the least common multiple of -8 + 9 + (-1 - -12) and c(y).
156
Suppose -3005 = -a - 3*k, -k - 15110 = -5*a - 5. Let q = -72505/24 + a. Let s = 35752/27 - 1324. What is the common denominator of q and s?
216
Let l = 30 - 20. Suppose 17*q + 3 = 14*q. What is the smallest common multiple of -2*(5 + -3)*(q - 1) and l?
40
What is the common denominator of (-340)/17 + 13 + 4551/612 and -4/201?
13668
Let j(x) = x**2 + 7*x - 29. Suppose -310 = 16*q + 15*q. Calculate the smallest common multiple of 10 and j(q).
10
Let c = 703 - 683. What is the lowest common multiple of c and 590?
1180
Suppose 840*r - 26432 = 808*r. Calculate the smallest common multiple of 1062 and r.
7434
Let r be (-4 + 6 - 26/14)*-766. Let a = 104 + r. What is the common denominator of 1/(-12)*(-156)/(-16) and a?
112
Suppose 4*d = 2*d - 102. Let y = 56 + d. Suppose -7*w + y = -6*w. What is the least common multiple of 3 and w?
15
What is the common denominator of (-3)/(-18) - 207/2790 and 23/55?
5115
Let f = -65 + 73. Suppose -5*s = f*s - 715. Suppose -u - 17 = -a, -4*u + 10 = 3*a - s. Calculate the lowest common multiple of 6 and a.
114
Let a = 357 - 367. Calculate the smallest common multiple of 40 and a*(4 + (-66)/12).
120
Let f = 443 - 444. What is the smallest common multiple of (-755)/f - -10*3/(-6) and 10?
750
What is the common denominator of 7/426 and (-9884)/(-3408) - (-8 + 10 + 1)?
852
Let f = 698035273/123276 + -3024/10273. Let b = 5656 - f. What is the common denominator of b and 157/60?
60
Suppose 5*u + 37 = 12, 3*u - 12 = -3*p. Suppose 40 = 11*z + 9*z. Suppose 5*l + z*s - 74 = s, 43 = 3*l + 2*s. What is the least common multiple of p and l?
45
What is the common denominator of 1/((-540)/(-3423))*26/1092 and 125/972?
9720
Let i(k) = -2*k + 22. Calculate the smallest common multiple of i(-4) and 840.
840
Let s = 484962 - 240031. Suppose -c - 3*c = -5*y + s, -61226 = c + y. Let w = -3061347/50 - c. Find the common denominator of 11/50 and w.
50
Let z = -11657 + 3938. Calculate the common denominator of ((z/126)/31)/(1/(-3)) and 9/154.
154
Let i = 116737059253/59591510 - -6/2708705. Let c = i - 1961. What is the common denominator of c and 47/84?
924
Let o = -1121 + 136763/122. Let u = o + -336/61. Calculate the common denominator of u and 67/34.
34
Suppose -2*p - 2*p - 8 = 0. Find the common denominator of (-1)/p + 1265/69 and 76/3.
6
Suppose 4*b + f + 2*f - 5583 = 0, 2*b - 2795 = -5*f. Let v = -2958019533/2118787 + 24/192617. Let a = b + v. What is the common denominator of a and -97/2?
22
Let i be 384/(-4)*(-2)/6. Let d = i - 26. Let c = 3 - -21. Calculate the lowest common multiple of c and d.
24
Let k be (8/(-6))/((-1)/(-3)) - -118. Let q = 142 - k. Calculate the smallest common multiple of q and 21.
84
Let j be (-942)/(-280) + 17/(-34). Let p = 1/140 - j. Let o = -8866/393 + -14/131. What is the common denominator of o and p?
21
Let x = 141 - 126. Calculate the lowest common multiple of (-19)/((-76)/(-200))*(-4)/8 and x.
75
Let o be (3 + -2)/(6/1728). Find the common denominator of (-156)/(-234) + 34/(-12) + 1 and 782/o + (-6)/(-27).
48
Suppose -3*a - 9 = -5*k, -11 = -4*k - 4*a + 9. Let b be (-6 - -39) + (-3)/k*1. Suppose 5*n - b = n. Calculate the lowest common multiple of 1 and n.
8
Let u be 8017/390 + 1/5. Let q be -6 + (-1)/((-52)/2128). Let b = q - u. Calculate the common denominator of -61/20 and b.
60
Let p = -199 - -185. Let x(y) be the first derivative of y**2 + 44*y + 2. Calculate the smallest common multiple of x(p) and 24.
48
Let c = 1/23323 + -70297/7649944. Let q = c + -4511/8856. Find the common denominator of -64/9 and q.
27
Let a = -263 + 259. Let i(o) = o**2 + o + 8. What is the least common multiple of i(a) and 8?
40
Let r = -56647/2758437 - 48/2533. Find the common denominator of 58/1815 and r.
5445
Calculate the common denominator of -137/78 and 1071/2210 - 2/(-26).
390
Let t = -307150/9740133 - -16/44073. Calculate the common denominator of -10/21 and t.
13923
Let h = -77 - -82. Suppose -h*t = -2*c - 8*t + 150, -c - 5*t = -82. Calculate the least common multiple of c and 8.
72
Let l be (-65)/(-39) + ((-64)/(-3))/(-2). Calculate the least common multiple of (-7*l/(-12))/(3/(-4)) and 8.
56
Let s = -10958 - -11766. Calculate the smallest common multiple of s and 404.
808
Let b = -10007 + 12016. What is the lowest common multiple of b and 1148?
8036
Let q(m) be the first derivative of m**4/2 - 71*m**3/3 + 19*m**2 - 87*m - 131. Calculate the least common multiple of q(35) and 4.
36
Suppose 19563 = 41*w + 74667. Calculate the common denominator of ((-3)/6 - -1) + 609/w and 77/24.
192
What is the smallest common multiple of 174360/54 + 384/(-432) and 16?
12912
Let b = 1912/1634057 - -83904157255/16559533638. Let i = 7/563 - b. What is the common denominator of i and -35/24?
72
Let t = 0 - 6. Let u = 32/231 - -11923/2310. Find the common denominator of u and 97/(-12) + 6 + t.
60
Let d = -4211 + 4296. Calculate the smallest common multiple of 60 and d.
1020
Suppose -33*y + 86 = -11 - 167. What is the smallest common multiple of y and 157?
1256
Calculate the common denominator of -89/16 and (-10)/(-412)*162/(-648).
1648
Let s = 7405 + -5312. Calculate the smallest common multiple of 2 and s.
4186
Let f be (-4 - (-3 + -1))/1. Suppose 2*v + x + 17 = -0*x, -x - 1 = f. Find the common denominator of -151/18 and (((-4)/(-18))/(v/(-12)))/11.
198
Calculate the common denominator of 0 + 4420/(-352) - 2/(-11) and 109/900.
1800
Suppose -21 = -0*o - 3*o. Let u(s) = 690*s - 6894. Calculate the lowest common multiple of u(10) and o.
42
What is the common denominator of (11/(1122/(-1853)))/4 and -15/392?
1176
Let s(l) = 258*l**3 + 5*l**2 - 7*l + 2. Let i be s(1). Let c = i + -257. What is the lowest common multiple of 39 and c?
39
Let g be (-5)/(-2)*(-1932)/(-60). Let a = g - 4363/54. Calculate the common denominator of -71/54 and a.
54
Let i = -217479797/1240 - -175387. Find the common denominator of i and 9/3224.
16120
Let g be ((-144)/16)/(9/(-6)). Find the common denominator of g/7 - 3597/1134 and -59/45.
270
Let q be ((-16)/1428)/((-294)/(-9)). Let n = q + -798811/104958. Let t = 146557/84 + -6975/4. Calculate the common denominator of t and n.
126
Let d(j) = -j**3 - 6*j**2 + j - 16. Let v be d(-8). Let f = v - 91. Let u(w) = w**3 - 5*w**2 - 4*w - 4. Calculate the smallest common multiple of f and u(6).
104
Let a be ((-6)/4)/((330/5800)/(-11)). Let n = a - 263. What is the smallest common multiple of 42 and n?
378
Let a be (-2)/(-4) + (-11)/(-22) + 3. Suppose 0 = 4*x - 4*j, -10*x = -7*x - j - a. Calculate the lowest common multiple of x and 24.
24
Let x be (-2171)/(-39) - 1/(-3). Suppose -3*y + a + x = 0, 0 = a - 5*a + 16. What is the smallest common multiple of 20 and y?
20
Let l = -429/5 - -20657/240. Calculate the common denominator of 79/48 and l.
48
Suppose 0 = -3*q + 2*o + 136, 3*q - 4*q + 57 = -3*o. Suppose 5*y - q - 33 = 0. What is the least common multiple of (45/(-585))/(48/(-2496)) and y?
60
Let m be (-4)/1 + (-2 - 165/(-5)). Suppose a + 21 = -f + 30, -4*f + 5*a + m = 0. Calculate the least common multiple of f and 28.
56
Let p(x) = -9*x + 62. Let s(w) = -w**3 + 20*w**2 - 18*w - 13. Let n be s(19). Calculate the lowest common multiple of -2 + 6 + -2 + 0 and p(n).
8
Let b = -24 - -44. Let w = -7 - -125. Let t = w - 100. What is the least common multiple of b and t?
180
Let k = 15 + -11. Suppose f - 25 = 3. What is the smallest common multiple of (k + -1 + -1)*7 and f?
28
Let z = 2/1733 + 27718/8665. Calculate the common denominator of 3 - 46/200*14 and z.
50
Let a(r) = r + 11. Let f be a(-12). What is the common denominator of 29 + -4 - f/1 and (-71)/(-105) + 7/(-35)?
21
What is the common denominator of 69/((-8)/(256/(-144))) and -82/6747?
6747
Let r = 1/394 - 1481/1379. Let j be (-4362)/(-16)*-1 - 9/24. Calculate the common denominator of r and j/(-15)*((-20)/24)/1.
42
Suppose -5*p = 21 + 4, 0 = 2*y + 3*p - 29. Calculate the smallest common multiple of y and 5276.
58036
Let u 