 20. Calculate the least common multiple of 42/(-35)*b/4 and (-125)/(-5) + (-5)/((-10)/(-8)).
21
Let t(d) = d**3 + 8*d**2 + 4*d - 15. Let i be t(-7). What is the common denominator of 43/27 and (i/(-8))/((-90)/2540)?
54
Let x = 153 - 97. What is the lowest common multiple of 4 and x/(-3)*(4 + (-187)/22)?
84
Let n = 5562 - 5540. Let i = 225 + 299. Calculate the smallest common multiple of i and n.
5764
Find the common denominator of (63/9 - 38)/(-59) and (-2)/(2*(-24)/(-524)).
354
Let a(b) = -b. Let z be a(-3). Calculate the lowest common multiple of 11*(z - (-1 + 3)) and 45/25 + 418/190.
44
Suppose -3502*s + 392490 = -3413*s. What is the least common multiple of 18 and s?
4410
Let f = -19878 + 19914. Suppose n - 2*n + 42 = 0. What is the least common multiple of n and f?
252
Suppose 66*g = 65*g + 228. Calculate the smallest common multiple of g and 285.
1140
Let k = 26755189/4014 - 17709/223. Let t = 6588 - k. What is the common denominator of (-76)/380*(-1515)/18 and t?
18
Let r = 49/324 - 307/2268. Calculate the common denominator of (-1 - 2) + (-734)/(-144) and r.
504
Suppose 14*q = 19*q - 95. Suppose 6*l = -q*l + 600. Suppose -2*h - 8*k = -4*k, 3*k = h - 15. What is the lowest common multiple of h and l?
24
Suppose -3*c + 1063 + 230 = 0. What is the common denominator of c/160 + -2*30/20 and -95/8?
160
Let a = 17486 + -13958. What is the smallest common multiple of a and 10?
17640
Let t be (-8 + 133/14)*(-22 - 0). Find the common denominator of 15/37 and (-6)/t - 5/(550/559).
370
Suppose -h + 338 = 4*i + 284, -5*h + 180 = 2*i. What is the least common multiple of 10 and h?
170
Let a = -3446 + 3451. What is the least common multiple of 85 and a?
85
Let y = -50/843 - -43615/664284. Find the common denominator of y and 31/1970.
3940
Calculate the common denominator of ((-6)/(-30)*(-60)/(-9))/(546/(-225)) and -1/117.
819
Let n = 51 - 13. Suppose 0 = -5*j - 4*o + 46, -3*j + 2*o = -7*j + n. Calculate the least common multiple of 3 and j.
30
What is the common denominator of -119/450 and (6/(-175))/((-636)/14469)?
450
Suppose -17*v + 15*v = -4. Suppose 1071 = -v*k + 5*k. What is the common denominator of (k/36 - 2) + (-3)/9 and -17/16?
48
Let w = 42 - 216. What is the common denominator of (18/w)/(66/32 + -2) and (392/(-44))/2 + 1?
319
Suppose 18 = 3*u + 2*j, 15*j = 17*j. Calculate the common denominator of (1/18)/(u/(-1143)) and 101/80.
240
Suppose 2*j + 5*v + 10 = -0*v, j = -5*v - 15. Suppose 10*o + j*o + 600 = 0. Let f = 42 + o. What is the smallest common multiple of 20 and f?
20
Let i(u) = 2*u**2 + 7*u - 12. Let t = -18 + 32. What is the lowest common multiple of i(-6) and t?
126
Let o = 6369 + -63773/10. Let s = 2333461/19816580 + 3/54292. Let l = s + -18878/33215. What is the common denominator of l and o?
910
Let s be (18*1)/(-1 - (-2)/(-2)). Let o(p) = p**2 + 6*p - 11. Let r be o(s). Suppose -14*i - 20 = -r*i. What is the lowest common multiple of 8 and i?
40
Suppose 7*x - x + 7074 = 60*x. Calculate the smallest common multiple of x and 13.
1703
Find the common denominator of (-4)/(-8)*4 - 0 - (-4499)/(-1386) and 85/56.
504
Suppose -6*z + 887 + 145 = 0. Calculate the common denominator of -139/18 and (z/(-64) - -3)/((-37)/2).
2664
What is the least common multiple of 60 and ((-6)/(-9))/(2 + (-115583)/57798)?
14820
Let q = 94 - 59. Let j be 4/(-10) + 1 + 14/q. What is the common denominator of -21*(-6)/81 + j and -16/7?
63
Let v(t) = -15*t - 29. Let u be v(-30). Let w = 433 - u. Calculate the least common multiple of 36 and w.
36
Let n = 214089/20 + -10702. Calculate the common denominator of n and -137/360.
360
Let h(b) = -17*b - 2. Let l be h(2). Calculate the common denominator of 4/(-18) + (-317)/l and ((280/(-45))/(-4))/(44/11 + -7).
108
Let h be (4/6)/(108/24483). Let k = -301/2 + h. Calculate the common denominator of (-10)/8 - -1 - (-175)/63 and k.
108
Suppose d - 39960 = -q, 0 = -4*q + 5*d + 229078 - 69193. Let x = q + -2877385/72. What is the common denominator of x and 69/128?
1152
Let b(l) = 2*l**3 - 5*l**2 - 7*l + 30. Let n be b(3). What is the common denominator of -77/45 and 136/n + 56/(-336)?
90
Let z(c) = -5*c - 4. Calculate the smallest common multiple of (-6)/33 + (-23296)/(-352) and z(-3).
66
Let c = 591/2 - 32399/110. Calculate the common denominator of c and -14/3.
165
Let d = 34811018 - 556752025/16. Let t = 14022 - d. What is the common denominator of 79/88 and t?
176
Suppose -l = -5*l - 8. Let s = -388347/28 - -13866. Find the common denominator of s and (142/(-24)*l)/4.
168
Let q = -77/3 + 382/15. Let a = 413/6 - 5275/78. What is the common denominator of q and a?
195
Let m = -412 - -1864. What is the common denominator of (0 - 2)*(-182)/88 and 6182/m - ((-4)/(-6) - 1)?
22
Let g be -2 + 24/18 - (-94)/6. Suppose 0 = 7*c - g - 41. Suppose 4*y = 5*x + 2*y - c, -2*x - 5*y = -9. What is the least common multiple of x and 4?
4
Let a(i) = i**3 + 11*i**2 + 5*i - 19. Calculate the lowest common multiple of a(-9) and (-35)/2*(-44)/55.
98
Let t = 285535/66 - 47316/11. Let u = -3011/6 - -510. What is the common denominator of u and t?
6
Let o be (20/1)/((-810)/205 + 4). Let l = 1563/4 - o. What is the common denominator of 5/18 and l?
36
Let d = -18104 - -18164. Calculate the lowest common multiple of d and (-423)/(-6) + (-2)/4.
420
Let o(c) = -54*c - 12. Let s be o(10). Let y = -1069/2 - s. Calculate the common denominator of (-43)/16 + 3 + (-8)/(-4) and y.
16
Calculate the smallest common multiple of 28 and 2519 - 10 - (-2 + -7)*-1.
17500
Let m = 110437/4 + -23595. Let z = m + -4034. What is the common denominator of z and -32/7?
28
Suppose h = -5*u - 765, -2*h + 0*h + 164 = -u. Let r = -109 - u. Calculate the smallest common multiple of r and 24.
360
Let r(m) = -m**3 + 6*m**2 - 3*m - 5. Let t be 9/(-3)*(-10)/6. What is the smallest common multiple of r(t) and (-7)/(21/6)*9/(-2)?
45
Let w be (124/(-48))/((-5)/((-595)/42)). Let k = w - -2249/288. Find the common denominator of k and -97/24.
96
Let q = 12227 - 12075. Calculate the smallest common multiple of 228 and q.
456
Let p = 1831201/30 - 61046. Let s be -2 + ((-225372)/(-37564) - 4). Let w = -1061147/112692 + s. What is the common denominator of p and w?
60
Let c(h) = -h**3 - 11*h**2 + 2*h + 44. Calculate the least common multiple of c(-11) and 498.
5478
Suppose 137*b - 112*b - 675 = 0. What is the least common multiple of b and 39?
351
Suppose 10 - 3 = 7*i. Let f be 2/5 + (-522)/(-45). What is the least common multiple of 16 and 3/(i/f*2/1)?
144
Let i(y) = 110*y - 3470. Calculate the least common multiple of i(37) and 600.
600
What is the common denominator of -113/182 and (-40)/28 - (-36549)/24570?
2730
Let w = 42 - 15. Let b be 12/(-8) + 806/(-4). Let p = b + 230. Calculate the least common multiple of w and p.
27
Let v be 95/(-50)*5*136/(-2). Calculate the smallest common multiple of 5 + v/26 + (-2)/(-13) and 33.
330
Let a(o) = -o - 6. Let z be (5 - -1) + 3 + -7. Let y be 1210/(-99) - z/(-9). Calculate the least common multiple of 12 and a(y).
12
Suppose 1151*j - 1147*j - 28 = 0, 4*u - 4*j - 6200 = 0. What is the lowest common multiple of 27 and u?
4671
Let z(x) = -x**3 - 15*x**2 + 40*x + 74. Let r be z(-17). What is the common denominator of 91/78*(-178)/r and -109/60?
60
Let y = 24260/7 - 437723/126. Find the common denominator of y and (-7)/(-5) + 33336/(-44640).
1116
Let d(s) = -s**3 - 6*s**2 - 6*s. Let j be d(-5). Suppose 237 = 5*x + 4*a, 152 = 3*x + 4*a + j. What is the least common multiple of x and 15?
45
Let d = 4491/3718 + 34/169. Let k be (-2)/((-22)/(-20) - 1). Find the common denominator of d and 1 + 79*1/k.
220
Let m = -832 - -840. Suppose 7*w - 6 = 4*w. Calculate the lowest common multiple of w and m.
8
Find the common denominator of 20/9 and (-4)/(288/34) - 30/1365*-7.
468
Let y = 10/8012511 + -10556284/4178211998571. Let i = y - -7786977121/6257532. Let g = 1246 - i. Find the common denominator of -55/24 and g.
24
Find the common denominator of 0 - -45 - 14/(-28) and 17/(-6) + 1 + 8/(-12).
2
Let a = -1835/48 + 273/16. Find the common denominator of -1/452 and a.
1356
Suppose -2852 = -2*l - 3*o + 2*o, -5*l + 7132 = 2*o. Find the common denominator of -77/18 and (1 - 1025/l) + 128/(-224).
612
Let z(u) = 78*u + 2536. Calculate the least common mu