(-99)/(-2))/(-11). What is the common denominator of 1*(c/(-42))/(180/(-35)) and 74/45?
360
Let n(m) = 8*m**2 + 13*m + 28. Let r be n(-4). Let y(p) = p**3 - 9*p**2 - 10*p + 12. Calculate the least common multiple of y(10) and (2 - r/(-16)) + (-1)/(-2).
36
Let m = 25/167 + -26677/32064. What is the common denominator of m and 25/72?
576
Let f = 45 + -41. Suppose -3 = -3*j + 3*m + 9, 8 = f*m. What is the lowest common multiple of 100 and j?
300
What is the smallest common multiple of 1365 + -1*9*28/84 and 30?
6810
Let v = 55/16 + -683/144. Let n = -127/2899 + -237569/69576. What is the common denominator of v and n?
72
Let s be ((-1895)/(-630) - 3)*(-185798)/(-28). Let j = s + -2424/49. Let z = -90/137 + 1576/6987. Find the common denominator of j and z.
612
Calculate the smallest common multiple of 4 + (-44)/12 + (-5159)/(-21) and 451.
2706
Suppose -21*s + 23*s = 192. Suppose 0 = -7*g + g + s. Let l = -36 + 56. What is the least common multiple of l and g?
80
What is the least common multiple of ((-1288)/14*(-135)/(-12))/((-18)/12) and 16?
5520
Let h = 7010 - 5510. What is the smallest common multiple of h and 21?
10500
Let j = 26044 - 781199/30. Calculate the common denominator of 47/290 and j.
870
Let t(l) = -2*l + 21. Let r be t(17). Calculate the common denominator of 17 + r + (-634)/204 and 22/7.
714
Suppose -8*w - 60 = -2*w. Let a = w - -8. Calculate the smallest common multiple of 7 and (1/(-2))/(a/36).
63
Let r be ((-6)/8)/((-16)/(-41648)). Let y = -19503/10 - r. Find the common denominator of y and 16/((-1440)/2646)*(-2)/(-12).
20
Calculate the lowest common multiple of 18 and (129 - 50) + (-11 - -1)/(-2).
252
Let j = 21/115 + 1729/230. Find the common denominator of -1 + (11547/2958 - 3) and j.
4930
Let u = -736027/3493630 + 4/12047. What is the common denominator of u and 25/696?
3480
Let a(f) = 536*f + 10211. Suppose -45 = -2*j + 63. What is the smallest common multiple of a(-19) and j?
54
Let w = -207336379/24 - -8643377. Let h = w + -4360. Calculate the common denominator of h and -1/6.
24
Let u = -123621 - -497223/4. Let g = u - 73889/108. Calculate the common denominator of 4/21 and g.
189
Let c(x) = 16*x - 136. Let a be (-6)/(-36) - (-265)/30. What is the smallest common multiple of 84 and c(a)?
168
Let v be ((-4)/(-9))/(40/18 + -2). Suppose 120 = -v*s - 368. Let h = 18043/74 + s. Calculate the common denominator of h and 29/6.
222
Suppose -2*q + 47 = -25. Let k(o) = 2*o**3 - 15*o**2 - 7*o - 15. Let b be k(8). What is the least common multiple of 5/4*(-224)/b and q?
360
Suppose 3*s + 2*s = -5*y + 255, 3*y - 5*s = 225. Calculate the least common multiple of 792 and y.
3960
Let v(f) = -f**2 + 21*f + 258. Let p be v(27). Calculate the lowest common multiple of ((-54)/4)/(3 + (-324)/p) and 80.
720
Let f = -4 - -20. Let c = -223 - -240. Suppose -108 = c*u - 29*u. What is the least common multiple of u and f?
144
Suppose -3*a - 2307 = -3*c - 0*c, 0 = -4*c + 5*a + 3074. Let y = c - 6201/8. Calculate the common denominator of y and 25/16.
16
Let b(w) = -17*w**3 - w**2 - 3*w - 1. Suppose 2*s + 3*f = -2*f + 8, -2*s + 6 = 4*f. What is the least common multiple of 4 and b(s)?
36
Let x(l) = 35*l + 88. Let t(y) = -52*y - 132. Let j(z) = 5*t(z) + 7*x(z). Calculate the lowest common multiple of j(-3) and (3/2)/((-12)/(-64)).
8
Let g = -20200373/799560 + 21/44420. Let r = 671/24 + g. Calculate the common denominator of r and 33/16.
144
Let f = -20877 - -20887. What is the lowest common multiple of 10672 and f?
53360
Suppose -15*w = -2*w - 31*w + 36. Suppose 0*u + 308 = u. What is the smallest common multiple of u and w?
308
Suppose -6*q - 4 = -16. Suppose -q*c - c = -z + 21, -5*z = -3*c - 81. Let b(j) = -3*j**3 - 3*j**2 + 11*j + 4. What is the lowest common multiple of z and b(-3)?
75
Let l = 3689/2120 - -9/106. Calculate the common denominator of l and 3358/(-438)*(86/80 - 1).
40
Calculate the common denominator of 103/12 and ((-4)/(-402))/(20 + (-26130)/1305).
804
Let f = 492 - 488. What is the smallest common multiple of 52 and f?
52
Let s(c) = -23*c + 41. Let a be s(5). Find the common denominator of (-71)/10*3/(-6) and (1*262/(-48))/(a/148).
60
Let r = -69/220 - 2839/330. What is the common denominator of r and 17/1336?
4008
Calculate the smallest common multiple of 24 and (-7 - (55/11 + -6)) + (379 - 1).
744
Let j(h) = h**3 + 2*h**2 - 4*h - 1. Let o be j(-3). Suppose 36 = o*x + 3*n, 5*x + 7*n = 2*n + 90. Calculate the least common multiple of x and 6.
18
Let o(l) = 2*l**3 - 2*l**2 + l + 1. Suppose 54*a = 62*a - 272. Suppose -a*p + 38*p = 32. What is the smallest common multiple of o(2) and p?
88
Let f = -391 + 405. Let r(d) = -2*d - 2. Calculate the lowest common multiple of r(-7) and f.
84
Let m = 2683 - 2363. What is the smallest common multiple of m and 16?
320
Suppose 2*y + 2*k - 53 = k, k = -y + 25. Let o = y + -14. Suppose -5*a = 15, 3*a - 18 = -m + 5*a. Calculate the smallest common multiple of o and m.
84
Let s(b) = b + 24. Suppose 0 = -2*k - 4*p + 22, 124 - 25 = 5*k - p. Let x = k + -31. Calculate the least common multiple of 2 and s(x).
12
Find the common denominator of 27/572 and ((-30624)/(-22880))/(4/(-5)).
572
What is the lowest common multiple of (-18)/(-135)*535 - (-10)/15 and 80?
720
Let t(h) = h**3 + 19*h**2 + 13*h - 10. Let f be t(-18). Suppose -410*w + 415*w = f. What is the lowest common multiple of 1104 and w?
1104
Let w be (-1215)/36*32/(-6). What is the common denominator of -49/88 and (21/w - 3) + (-2)/(-6)?
440
Find the common denominator of 1/22 and 2041/24024 + 1/6 - (-5)/(-35).
616
Suppose 184*w - 31*w = 6*w + 78792. Calculate the smallest common multiple of w and 5896.
5896
Suppose 13*i - 12*i = 268. Let z = 280 - i. Calculate the smallest common multiple of z and 16.
48
Let m = 11347/10 + -1126. Calculate the common denominator of (3476/(-2530))/(-9 + (-876)/(-60)) and m.
1610
Suppose 0 = -4*z + 22 + 2. Let q = 22 + z. Calculate the least common multiple of (-34615)/645*24/(-92) and q.
28
Suppose p + 12 = 3*p. Find the common denominator of -40/7 and 2/p + (-2110)/750.
175
Find the common denominator of 92/7335 and 29/(-21) - (4/11 + 64/(-176)).
51345
Let k(b) = b**2 + 3*b - 6. Let o be k(-4). Let p be o - 1/2*2. Calculate the common denominator of (-140)/24 + 4 - p and -1/9.
18
Let r = 449 - 445. Suppose -5*n = t - 28, -r*t + 52 - 6 = -2*n. What is the smallest common multiple of 26 and t?
26
Let f(w) = w**3 - 62*w**2 + 174*w + 327. What is the least common multiple of 2175 and f(59)?
4350
Suppose -32 = -l + 160. What is the smallest common multiple of 39 + 0 + (-14 - -3) + 12 and l?
960
Suppose -788*j = -713*j - 22500. Suppose 2*b - 25 = -3*h + 53, 3*b + h = 103. What is the lowest common multiple of b and j?
3300
Calculate the common denominator of ((-32)/(-2))/2 + 10841914/(-1343220) and 59/70.
12810
Let p(t) = -363*t - 3264. What is the least common multiple of p(-9) and 1743?
1743
Let b = 14 - 10. Suppose -4*g = -35 - 73. Suppose -g*m = 25 - 79. What is the lowest common multiple of m and b?
4
Let i = 153 - 3224/21. What is the common denominator of i and (-1)/6*484/12?
126
Let p = -3/68 - -515/17. Let q = p - 18. Find the common denominator of -89/42 and q.
84
Let x(j) = 7*j**2 - 2*j - 4. Suppose 0 = -147*a + 41*a + 318. Calculate the least common multiple of a and x(-3).
195
What is the common denominator of -119/10 and -4*1 + (2790/(-81))/10?
90
Let y be (-2)/36*(-435406)/(-2). Suppose 3*l - 6*l = 2*s - 36270, 3*l - 3*s - 36255 = 0. Let u = l + y. Find the common denominator of u and -85/12.
36
Let r(b) = -716*b - 4. Let a be r(5). Let h = a - -272389/76. Find the common denominator of h and (770/(-616))/((-10)/84*2).
76
Suppose -69 = -5*i + 3*m - 6, 5*i = 5*m + 65. What is the smallest common multiple of i and 993?
3972
What is the common denominator of (1/(-8))/(897/2760) and -43/9?
117
Suppose -4*t + 0*y + 390 = 2*y, -3*t - 4*y = -300. Suppose -2*x = w - 32, -33 = -2*x - 41. What is the least common multiple of t and w?
480
Suppose -a + 5*q + 107 - 23 = 0, -2*q = -4. Let c = a + -84. Calculate the lowest common multiple of c and 123.
1230
Let q = 455099/3588 - 2926/23. Let d = -5849/13212 - 72/367. Find the common denominator of q and d.
468
What is the common denominator of ((-36)/(-480))/(