 Let a = 52 - 46. Calculate the lowest common multiple of a and y.
42
Suppose 20*t + 2*t + 70 = 378. Let z = 14 - 9. What is the least common multiple of t and 1/z + (-198)/(-10)?
140
Let u = 30 - -14. Let r be ((-72)/702)/(u/(-126)). Let v = r + -18009/1430. Calculate the common denominator of 9/2 and v.
10
Suppose -91*s = -95*s - 32. Let p(j) = 8*j + 118. Calculate the lowest common multiple of p(s) and 54.
54
Suppose -4*i - 4*n + 748 = 0, 9*n - 6*n = 3*i - 573. Calculate the lowest common multiple of 6 and i.
378
Let l(m) = -2*m + 48. Let c be l(22). Suppose 2*b = 3*p + b + 16, 0 = -c*p - 3*b - 30. Calculate the common denominator of 497/252 + p/(-8) and 62/9.
18
Suppose -1184 - 67 = -85*w - 54*w. Let n(g) = -g + 4. What is the smallest common multiple of n(-6) and w?
90
Let h(u) = 0*u**2 + 10*u**2 - 2*u**3 - 6 - 8 + 3*u**3 - 5*u. Let v(z) = -z**2 - 63*z + 8. Calculate the least common multiple of h(-10) and v(0).
72
Let u = 4 + 38. Suppose 3*o + 96 = 4*s, o = 3*s - u - 35. Calculate the lowest common multiple of 10/(-35) + 191/7 and s.
27
Let n(k) = -16*k + 85. Suppose g + 2*d + 3 = 0, 2*g = -35*d + 33*d - 10. What is the lowest common multiple of n(g) and 2?
394
Calculate the smallest common multiple of 2/15 - (-13350)/1125 and 4646.
27876
Let p = 992621/592600 + -2/74075. What is the common denominator of p and (-2)/(-32)*(-2 - -168)?
40
Let r be 37 - 39 - 4*37/(-2). Let n = -74 + r. What is the common denominator of (-1)/n*(-321)/36 and 5/9?
72
Suppose -18*v + 8*v = 10. Calculate the smallest common multiple of ((18/27)/(3/(-135)))/v and 30.
30
Suppose -3*r - 251 = -4*t, -203*r + 205*r = -5*t + 331. What is the lowest common multiple of 520 and t?
520
Suppose 0 = 3*p - 5588 - 556. Find the common denominator of -25/16 and ((-55)/(-495))/(-2 + p/1038).
336
Find the common denominator of (((-81)/30)/(-1))/(4/(-30)) and (-8)/6 + 7254/1188.
44
Suppose 8 = 2*m, -m + 535 = j - 735. Calculate the least common multiple of j and 15.
6330
Suppose 2*z = -5*d - 26, -5*d + 3*z - 8 = 3. Let p(w) = w**2 + 2*w - 3. Let l be p(d). Calculate the lowest common multiple of 9 and 0 + l/(-20) - 74/(-8).
9
Suppose 833*k = 3*v + 828*k - 45, 4 = -4*v - 4*k. Let s = -12 - -34. Suppose -4*l + 6 = -s. What is the least common multiple of v and l?
35
Let g be 9657865/220 - 1*-3. Let s = 43900 - g. Find the common denominator of (-1631)/770 + 6 + 1/(-5) and s.
44
Let i = -12537/32 - -1555/4. Find the common denominator of 161/312 and i.
1248
Suppose 42 = -v + 15*v. Calculate the smallest common multiple of v and 1/(-4) - (-219)/12.
18
Suppose -7 - 5 = -376*m + 372*m. What is the least common multiple of m and 11899?
35697
Let m(i) = 7*i - 4. Let z(h) = 2 - 4*h - 3*h + 1 + 1. Let x(o) = 3*m(o) + 2*z(o). What is the lowest common multiple of 18 and x(2)?
90
Let r = 59525/6678 - 442/371. What is the common denominator of 1/(-1) - 105/(-4) and r?
36
What is the smallest common multiple of 5 + (60/14)/((-63)/(-13671)) and 255?
2805
Calculate the common denominator of (-697)/1120 + 1/((-126)/(-54)) and 91/160.
160
Let a = -221 - -353. Calculate the least common multiple of 54 and a.
1188
Suppose -31*g + 1067 = 203*g - 571. What is the lowest common multiple of g and 753?
5271
Calculate the common denominator of -51/88 and -5 + (-297)/(-33) + 236/49408*-834.
67936
Let p(t) = -5*t**3 + 8*t + 7. Let k be p(-1). Suppose 5*o = -a + 33, -k*a + 30 + 54 = 4*o. Suppose 5*f - 2 = 8. What is the lowest common multiple of a and f?
18
Suppose 7*a + 5 = 2*a. Let j = -69392/15 + 13843/3. Find the common denominator of j and (2 + a - -40)*-1.
5
Let l = 0 - 11. Calculate the common denominator of (-4)/l*152/(-64) and (-85)/(-42) + 5/15.
154
Let l = -56226/5 + 787303/70. Let p = 10604 - 519564/49. What is the common denominator of p and l?
490
Let x be 3 - -5 - 3 - 10. Find the common denominator of x + ((-44600)/528)/(-25) and -54/121.
726
Let o = 27 - 12. Let t = -57 - 25. Let v = -61 - t. Calculate the lowest common multiple of o and v.
105
Let g = 10071 - 312244/31. Let j = 1744/265 + 1/53. Find the common denominator of g and j.
155
Let f(t) = t**3 - 19*t**2 + 33*t + 25. What is the least common multiple of f(17) and (20/(-12) + 0)*-3?
40
Suppose -13*i + 11*i = -2592. Let p = 309 - i. Find the common denominator of ((p/(-54))/7 - -3)*1 and -51/16.
144
Let n(f) = 4*f**3 - 27*f**2 - 10*f - 17. Let z be n(9). Let q = z + -610. Calculate the lowest common multiple of (-18)/(-8)*(1 - -7) and q.
36
Calculate the common denominator of 275/(-796)*(6*49/(-35) - -8) and 73/6.
1194
Let u = -10153/271 + 87769559/2343066. What is the common denominator of -39/20 and u?
86460
What is the common denominator of 37/8 and (((-3)/((-9)/58))/(-4))/((-13330)/(-30))?
10664
Suppose 4 = -s + 4*l, s + 6 = -0*s + 5*l. Calculate the least common multiple of s and (8/5)/((-1)/(-105)*6).
28
Suppose -2*w = x - 617, -1270 = -2*x - 53*w + 58*w. Calculate the smallest common multiple of 5 and x.
625
Suppose -4*f + 16040 = -4*g, 5*g - 13 + 18 = 0. Let s be 28012*(4/(-14))/2. Let d = f + s. Find the common denominator of d and -23/3.
21
Let i(d) = -d**2 - 332*d - 2266. Calculate the smallest common multiple of i(-7) and 2432.
21888
Let r = -134998 - -405017/3. Let y = 73 - 165. What is the common denominator of r and y/5*2/(-8)?
15
Let w = 21 + 495. Suppose n - 120 = -5*u, w = -0*n + 5*n - 3*u. What is the least common multiple of n and 12?
420
Calculate the common denominator of (-91)/(-16) + -1 + -50 + 47 and ((-1)/(-8))/(136/2482).
32
Let t(l) = -166*l**2 - 6*l + 10. Let w be t(4). Let i be 4/(-7) + w/(-42). Let d = -53 + i. What is the smallest common multiple of 1 and d?
10
Let t = -4588/1218195 + 1/88596. Calculate the common denominator of -67/20 and t.
5060
Let r = -138 + 634/5. Let f(v) = -11*v + 306. Let j be f(-42). Find the common denominator of r and ((-4191)/j - -5)/(12/8).
640
Let z = 61081 + -61017. Suppose 0 = -3*k - 5*u + 20 + 23, 69 = 4*k - 5*u. What is the lowest common multiple of z and k?
64
Suppose 407 = n - x - 129, n - 532 = 3*x. What is the common denominator of -93/2 and n/560 + 15 + 369/(-24)?
70
Let f = 6/24491 + 464141/4849218. What is the common denominator of f and 125/204?
6732
What is the least common multiple of 3 - 9/45*-7895 and 3?
4746
Let z = 174553187/44960 + 4999/1405. Let t = z + -3884. What is the common denominator of t and -7?
32
Let z be (-2 + 1577020/(-91252))*(-10)/(-60). Let h = z + -2/3259. Calculate the common denominator of 61/140 and h.
140
Let z = -68 + 88. Suppose -11 = -4*f - 5*b, 2*b - 7*b + 7 = 3*f. Suppose f*a - 10 = -a. What is the least common multiple of z and a?
20
Calculate the common denominator of 200/1500 + 51/36 and 13/978.
9780
Suppose 120 = -0*k + 5*k. Let h(b) = -b**3 - 12*b**2 - 57*b - 498. Let n be h(-11). Suppose -k = 4*s - n*s. What is the least common multiple of s and 4?
12
Let y = -4320126 + 712818013/165. Let z = -743161/330 + 2252. Let p = y + z. What is the common denominator of -38/11 and p?
66
What is the common denominator of 23532/11914*(-2)/(-12) and -15/217?
4991
Let a be (-2)/1 - (6 - 10). Suppose 0 = -4*b - 3*p - 295, 4*b = b + a*p - 234. Let x = b + 91. What is the lowest common multiple of x and 4?
60
Let w be (-27688)/(-60)*-3*(-73)/(-8). Let q = 24400 - 11764. Let y = w + q. What is the common denominator of y and 101/4?
20
Let p = -17/154 + -215/462. Find the common denominator of p and -77/1173.
12903
Let j(m) = m**3 + 27*m**2 + 41*m + 72. What is the lowest common multiple of 408 and j(-24)?
816
Suppose u + 363 + 157 = 4*t, -5*u - 2*t - 2578 = 0. Let y = -509 - u. Suppose 4*b - 44 = -0*b. What is the lowest common multiple of b and y?
77
Let w be (-5 + (-232)/(-56))/((-2)/2114). Let t = 1008 - w. What is the lowest common multiple of 51 and t?
102
Let p(h) = -6*h**2 + 295*h + 677. Calculate the least common multiple of 23 and p(50).
9821
Find the common denominator of 27/14 and 3/(-66) + 73338/107712.
672
Suppose -6*h + 148 = -8. Suppose 23*f + 18 = h*f. Suppose -k + 10 = u, -u - 5 + 19 = -3*k. Calculate the least common multiple of u and f.
66
Let z = 613508023/6821 - 89944. Find the common denominator of 14/9 and z.
61389
Let b = -63 - -67. Let h(d) = 2*d**2 - 4*d + 6. Suppose -4*q + 10 = -22. What is the smallest com