Suppose 4*u + 28 = -4*r, 5*r + 22 = u - 1. What is the common denominator of (-2118)/1020 + (-2)/r and (-198)/(-792) - (-190)/(-32)?
272
Let m = 382/5 + -68. Find the common denominator of 59/147 and m.
735
Let k be (-8 - 662271/7146)/((-40)/(-2)). Let w = 5/9528 + k. Let g = 36075/6286 - -21/449. Calculate the common denominator of w and g.
210
Suppose -3*z + 8 = -1. Suppose z*b + 4*m - 70 - 7 = 0, m + 55 = 2*b. Let c = b - 19. What is the least common multiple of 16 and c?
16
Let c = -7849 - -9359. Calculate the smallest common multiple of c and 20.
3020
Let j(y) = -26*y - 275. Let p be j(-11). Suppose 10*i - p*i + 8 = 0. Suppose 3*w - 2 = 7. Calculate the smallest common multiple of i and w.
24
Let j = 33 + -30. Find the common denominator of (j - (-251)/(-132)) + 11/121 and -137/120.
1320
Let s = -985821 + 1286496484/1305. Find the common denominator of -76/9 and s.
1305
Let s = 329/460 - 13/23. What is the common denominator of s and (23 - 18) + (-251)/55 + 12/15?
220
Let m = 19992679 - 6697524583/335. Let v = -32/335 - m. Let n = 391/5 + v. What is the common denominator of -93/8 and n?
40
Let n(z) = -z**3 - 6*z**2 - z - 3. Let x be n(-6). Suppose x*c - c - 40 = 0. Let f = -3104 - -3110. What is the least common multiple of f and c?
60
Let o be 3 + (-110569)/27915 + 1. Let l = o - 2066116661/167490. Let d = l + 12339. Find the common denominator of d and -149/18.
18
Let o = -8115 - -340807/42. Let m = 2391/208 + -121/13. Find the common denominator of m and o.
336
Suppose -23 - 10 = -3*s. Let g(m) = m**3 - 6*m**2 - 3*m - 27. Let o be g(8). Let q = 85 - o. Calculate the least common multiple of s and q.
88
Let c(v) = -61*v - 3. Let b be c(-2). Let m = 499/4 - b. Find the common denominator of ((-2)/(-60)*-5)/(18/(-438)) and m.
36
Suppose -27*x + 25*x = 14. Find the common denominator of (-1)/(-1) + 84/9 and ((-1155)/(-70))/(6/x).
12
Let w(z) = -3*z**2 - 121*z - 1050. Let b be w(-11). Let n be 4/14 + 593/7. Let m = n + b. Calculate the least common multiple of m and 15.
15
Let b(a) = 23*a**2 - 4*a - 3. Let z be b(-1). Suppose 7*s = -s + z. Calculate the lowest common multiple of 2 and (-1 + s)*2/2.
2
Find the common denominator of 950/179018*12/30 and 19/8749.
61243
Find the common denominator of (-4 + 3)*-1 + 1924/(-702) and 23/72.
216
Suppose -2*n + u - 4*u = 51, 0 = 4*n + 2*u + 114. Let r = -10 - n. Let l = -852 - -872. Calculate the lowest common multiple of l and r.
20
Let b = 16313 + -8947. Let x = b + -14462. Let l = 63931/9 + x. Calculate the common denominator of l and -1/12.
36
Calculate the lowest common multiple of 756 and -13 - (-342)/24 - (-79)/4.
756
Let b = 22683823/72325704 + -6/158609. Calculate the common denominator of b and -115/114.
456
Let l = -50 + 64. Let i(y) = -2*y**2 + y + 38. Calculate the least common multiple of l and i(4).
70
Let p = -96 - -97. What is the least common multiple of (-3)/((-48)/(-51) - p) and (-402)/(-42) + (-16)/28?
153
Let y be (-257457)/900 + (-4)/6. Let a = 1145/4 + y. What is the common denominator of -71/4 and a?
100
Let l = -647 + 871. What is the smallest common multiple of l and 288?
2016
Calculate the common denominator of (5416/288 - 21) + 1*-2 and -26/207.
828
Find the common denominator of (46/851)/(-1 - -11)*2/16 and 12/7.
10360
Suppose 69 = -14*o - 71. Let c = 886 - 1857/2. What is the common denominator of c and (4/((-56)/o))/((-20)/(-35))?
4
Suppose -34*g + 1067 - 183 = 0. What is the lowest common multiple of 23 and g?
598
Let v(n) = -178*n**2 + 660*n. What is the smallest common multiple of 504 and v(3)?
1512
What is the common denominator of -7/2622 and (-76672)/(-102429)*6/(-76)?
49818
Find the common denominator of 1/(3537/(-387) - -13) and 41/415.
830
Let p = 76 + -79. Calculate the common denominator of 60/(-40)*(-80)/9 and (p + 45)*6/261.
87
Let g = -18901246460 + 213130455300015/11276. Let m = g + 2/2819. What is the common denominator of ((-1)/((-10)/244))/((-16)/(-5)) and m?
8
Let o = -1093/4 + 30637/112. What is the common denominator of o and -101/464?
3248
Let u = -40 + 58. Let y be (-4)/u - 142/9. Let p = y + 32. What is the lowest common multiple of 16 and p?
16
Let u be 34 - (0 - 2)/(-2). Let x = 239 + -240. Find the common denominator of x + 4/8 - u/(-90) and 1/3.
15
Suppose -3*x = -11*j + 7*j + 1023, -3*j + 741 = 3*x. Suppose -13*k + j = k. Calculate the smallest common multiple of k and 36.
36
Let z = -7222173592/96565 + 373954/5. Let u = -875143089742 + 202819661907309143/231756. Let a = u + z. What is the common denominator of 17/8 and a?
24
Let b be (16/3)/(2/(-57)). Calculate the common denominator of (1 + -2 - -1) + b/18 and -17/27.
27
Let w = 157 + -139. Find the common denominator of 10/(-2 + 4 + 1) and 0 + w/(-15)*(-9)/2.
15
Suppose -21 + 153 = -j. Let d = 581/92 + -13/23. What is the common denominator of (-4)/42*9801/j and d?
28
Suppose -572 + 1808 = 6*x. Suppose 0 = x*k - 189*k - 204. Calculate the least common multiple of 172 and k.
516
Let i(z) = -z**3 - 9*z**2 - 9*z - 8. Let j be i(-8). Let b(y) = 2*y + 35. Let u be b(j). What is the common denominator of 47/13 and u/(-28)*(-226)/25?
130
Let w(k) = 8*k - 4. Let h be w(1). Suppose -3*g + h*g = -4, 5*b = 5*g - 13185. Let j = b + 21187/8. Find the common denominator of 93/14 and j.
56
Let b = -4039 + 7869. Let x = b + -53645/14. What is the common denominator of x and -4/9?
126
Let i(d) = 25*d**2 - 10 - 26*d**2 - d + 3. Let z be i(-10). Let r = z + 145. What is the smallest common multiple of 20 and r?
240
Let j = 304720 - 674954821/2215. What is the common denominator of -46/25 and j?
11075
Let s be (-804)/9 + (80/15)/(-8). Calculate the common denominator of (2740/s)/(6*4/(-9)) and 0 - 2 - 146/(-6).
12
Let r be 1 + -309 - (-3)/9*-3. Let n = r + 6487/21. What is the common denominator of 301/(-12) + 1/(-4) and n?
21
Suppose 50*i = 41*i + 18. Suppose 3*s + 13 = 4*l, -l - i*s + 10 = -5*s. Calculate the least common multiple of 51 and l.
51
Let n = 253 + -283. Find the common denominator of 59/102 and (-310)/n + -10 - 77/(-36).
612
Let t = -27551/12 + 2286. Calculate the common denominator of -17/258 and t.
516
Suppose -4*f = 7 + 45. Suppose -3*o + 80 = 2*o. Let a = f + o. Calculate the least common multiple of a and 2.
6
Suppose z - 7*z + 36 = 0. Suppose -362 = -z*b - 38. What is the common denominator of (-16)/(-96) + -19*7/b and -73/36?
108
Suppose 0 = -5*z - u + 1830, -3*z = 36*u - 31*u - 1098. Suppose z = 5*a - 129. Calculate the least common multiple of 9 and a.
99
Let t = 81 + -72. Suppose -t*m + 10*m = 3*z - 191, -3*z - 4*m = -196. What is the lowest common multiple of z and 18?
576
Calculate the common denominator of 46/663 and 192/(-336) - 341/126.
3978
Let m be 1017/(-18) - (-3)/6. What is the common denominator of 81/26 and 2396/m - 4/(-14)?
26
Let o(u) = 54*u - 441. What is the smallest common multiple of o(17) and 159?
477
Let i(s) be the second derivative of 3*s**5/10 - s**4/6 + s**3/2 - s**2/2 - 2*s + 146. Calculate the lowest common multiple of i(1) and 6.
6
Let i(v) = 370*v + 2217. Calculate the lowest common multiple of 1 and i(-5).
367
Let c(k) = 2*k**2 - 46*k - 42. Calculate the lowest common multiple of 36 and c(24).
36
Suppose 0 = -7*c + 2*c + 180. Suppose -20*f - 6*f + 216 = -14*f. What is the least common multiple of f and c?
36
Let s = 75 - 93. What is the common denominator of -41/14 and s/(-12) + -3 + (-2034)/(-924)?
154
Let a = 28414 - 28369. Suppose -4*r = 2*q - 228, -4*r - 65 = -5*q - 265. Calculate the lowest common multiple of a and r.
495
Let r = 163 + -109. Suppose -56 = -k - r. Calculate the lowest common multiple of k and 67.
134
Suppose -747 = -70*w + 383 + 410. Calculate the lowest common multiple of 106 and w.
1166
Let t(w) = -1294*w - 45. Let q be t(-10). Let s = q + -180629/14. Let h = -415/6 + 953/12. Find the common denominator of s and h.
28
Suppose 3*g - 33 = -3*u, 0 = -3*g - u + 11 + 12. Suppose -5*n - o + 94 = 0, -2*n + g*o = 2*o - 20. Calculate the least common multiple of 36 and n.
36
Let d = 108076 + -66790889/618. What is the common denominator of d and -39/206?
618
Calculate the common denominator of 1/780 and (((-2)/7)/((-208)/2996))/1.
780
Let y = 2176841/664110 + -2/36895. Let t = -353717/394504 + -5/4483. Find the common denominator of y