 + 20*u, 4*o - 227 = -u. Find the common denominator of 71/132 and (o/(-8))/((-675)/(-420)).
660
Let q = 1 - -3. Suppose 2*n + 714 = -1014. Let w = -842 - n. What is the lowest common multiple of q and w?
44
Let p(i) = -i**3 - 6*i**2 + 5*i - 3. Let j be p(-7). Let q(b) = b - 8. Let x be q(6). Calculate the common denominator of ((-2035)/30)/j*x/11 and 8/21.
231
Let n = 301 - -61. Let t = -334 + n. Suppose -5*b = 3*u - u - 19, 0 = 2*u - 5*b - 29. Calculate the smallest common multiple of u and t.
84
Let r be 0 + -1 - (-6 + 3). Suppose -64333*y + 64268*y + 1430 = 0. Calculate the least common multiple of y and 1 + -1*(r + -11).
110
Calculate the common denominator of (-27 - -45)*(-1 + (-3562)/(-3560)) and -79/178.
890
Let t be (-42)/(-15) + 1/5. Suppose 86 = 5*q + 2*p, 0 = -2*p + t*p + 2. Suppose -a + 2 = -q. What is the smallest common multiple of a and 6?
60
Let s(f) = -f**3 - f**2 + 16. Let v be 0*8/(-16)*-1. What is the smallest common multiple of 80 and s(v)?
80
Suppose 2*d - 1 = 1, 2*a - 3*d = 129. What is the smallest common multiple of a and 5/(-2) + (-616)/(-16)?
396
Let l(u) = 3*u**2 - 27*u + 6. Let n be l(9). Suppose -5*o = -n*o - 6. Find the common denominator of 16/21 and -3 + 1 + ((-34)/o - 2).
21
Let x = 804 - 796. Calculate the smallest common multiple of 424 and x.
424
Suppose 39 = -8*m + 3*m + j, -m + 5*j = 3. What is the common denominator of (-11)/m + -5 + 5 and (-5)/(-10) + (-67)/(-4)?
8
Suppose -12*p + 21*p + 16*p - 12150 = 0. Calculate the lowest common multiple of 756 and p.
6804
Suppose 7*t + 18*t - 850 = 0. Calculate the lowest common multiple of 4 and t.
68
Suppose -5*h + 0*h + 389 = -2*k, -6 = 3*k. What is the least common multiple of (10/(-20))/((-9)/(-6)) + 425/15 and h?
308
Let a = -5539/11 + 1507/3. Calculate the common denominator of -103/576 and a.
6336
Find the common denominator of 71/2044 and ((-158)/(-64))/(16*(-50)/(-640)).
20440
Calculate the least common multiple of (375/(-50))/((-5)/12) and 774.
774
Let m(y) = 171*y**2 + 142*y**2 + 29 + 12*y + 2*y**3 - 286*y**2. Calculate the least common multiple of 6 and m(-13).
42
Suppose 2*f = -4*v + 32, 5*v - v - 2*f = 24. Suppose -v*g - 605 = -18*g. What is the least common multiple of 55 and g?
55
Find the common denominator of 31/42 and ((-74655)/(-1512))/((-10)/(-4)).
84
Let m(t) = 2*t**3 + 138*t**2 - 293*t + 31. Calculate the lowest common multiple of 50 and m(-71).
3350
Let y = -1168912 - -3960273805/3388. Find the common denominator of -54/35 and y.
16940
Let x be ((-6)/5)/(9/(-30)). Let d = -113 + 115. Suppose -5*f = 5, d*f + 28 = x*g - 14. What is the lowest common multiple of g and 7?
70
Let s(p) = p**2 - 2*p + 6. Suppose -24 = -5*h - 3*k, 74*k - 18 = -2*h + 77*k. Calculate the smallest common multiple of h and s(-6).
54
Let l be -4*((-2972)/752 - -4)*-89. Let a = -31887/1598 + l. Find the common denominator of a and -29/24.
408
Let a = -60170167/3983266 - 12/68677. Let s = a - -320/29. Let n = -6651/77 + 1159/14. Find the common denominator of n and s.
154
Suppose -v - o = 93, 5*v + 2*o + 0*o + 453 = 0. Let s = v + 38. Let r = s + 73. What is the least common multiple of r and 12?
132
Let u be (4/14900)/((-13020)/(-167432450)). Let n = 3/23095 + u. Find the common denominator of -79/24 and n.
168
Let c = 2328815/53122068 + 13/104571. What is the common denominator of c and -7/33?
16764
Let t(o) = -10*o**2 + 11*o + 44. Let p be t(4). Let j = -726 + 1240. What is the common denominator of -1 + j/p + 4 and -47/24?
72
Let f = -424606 - -2077597096/4893. Find the common denominator of f and 73/6.
9786
Suppose -2*c + 4*c - 2*h = 6, -5*c = -2*h. Calculate the smallest common multiple of 52 and 64/(c - -3)*(-28)/(-56).
416
Suppose -20*w + 14*w = 60. Find the common denominator of 101/20 and (65/w)/(392/35).
560
Suppose -2205*n + 183492 = -2151*n. What is the smallest common multiple of 12 and n?
20388
Let n = 1829/3 - 590. Let v = 8 - 6. Find the common denominator of n and (-69)/(-78)*(v - 0).
39
Let n = -74515 - -74623. Suppose -4*f + 3*u - 8*u = -116, 3*u = -2*f + 60. What is the least common multiple of n and f?
216
Let a(y) be the first derivative of y**3/3 + 27*y**2/2 + 4*y - 8. Let u be a(-27). What is the smallest common multiple of 1 and (u/60*5)/((-1)/(-21))?
7
Suppose 12*m + m - 130 = 0. Let f = 15 + -23. Let x = 14 + f. Calculate the smallest common multiple of x and m.
30
Calculate the common denominator of 13/18 and (54496/(-8952) + 6)*(-12)/16.
6714
Suppose 0 = -4*g, -14*y + 12*y + g = -170. Suppose -y = -16*t - t. Let f(n) = 4*n + 8. Calculate the lowest common multiple of t and f(6).
160
Find the common denominator of 45/7 and -8 + (-8 - -13) + 8 - 33179/6635.
46445
Let k be (3/(-6) - 0)*-8. Suppose -k*y = -5*a - 112, -4*a = -5*y + 113 - 18. What is the common denominator of ((-25)/(-10))/((-8)/a) and 74/45?
180
Let n = -11458/99 - 3672/11. Let z = n + 450. Calculate the common denominator of z and 19/85.
765
Let j = -840383/321 + 2618. Find the common denominator of 34/27 and j.
2889
Let y = -498967/30 + 16626. What is the common denominator of -109/2706 and y?
13530
Let l(r) = 554*r**2 - 25*r - 9. What is the smallest common multiple of 22 and l(3)?
53922
Let h be 10/(-4)*(1 - (8 - -1)). Let y be (30/25)/(3/h). Find the common denominator of (0 - -18)/(y/9) and -71/6.
12
Let b = -6045507/3080 - -1714/385. Let q = 1964 + b. Find the common denominator of 6350/(-20)*2/(-90) and q.
72
Let w = -50 - -50. Find the common denominator of (3/(-96)*12)/((-9)/(-76)) and ((-91)/8 - w) + 4/(-16).
24
Let z = -1/53584 - 1580619/5840656. Find the common denominator of -47/98 and z.
10682
Let x = 17674956569/618766665 - 86/11250303. Let m = -158/155 + x. Let q = -12805/506 + m. Calculate the common denominator of q and -47/10.
230
Let t(z) = 4*z**3 - 22*z**2 + 6*z + 30. Let g(h) = -3*h**2 + h. Let d be g(-1). Calculate the least common multiple of t(5) and 1 - 4/(d/15).
80
What is the lowest common multiple of 132 and 2*((-786)/(-12) + -5)?
1452
What is the common denominator of (-297)/(-2376)*206/19 and 17/1744?
33136
Suppose -7 = -5*q + z - 1, 3*z = 4*q + 4. Suppose 0*c + q*c - 12 = 0. Suppose -193 = -41*x + 53. Calculate the least common multiple of c and x.
6
Suppose -5*i - 2*r = -3286, 2*i - 177 - 1157 = 2*r. What is the lowest common multiple of i and 99?
1980
Let c(z) = 6*z**2 + 5. Let a(w) = -7*w**2 - 5. Let u(v) = 3*a(v) + 4*c(v). Let t be u(0). Calculate the common denominator of (-58)/(-8) - (-9 + t) and 11/14.
28
Let o(r) = -r**3 - 6*r**2 - 29*r - 90. What is the least common multiple of 189 and o(-7)?
1134
Suppose -2516 = -10*j - 866. What is the smallest common multiple of 363 and j?
1815
What is the common denominator of 173/150*275/(-110) and 1084/660 + 4/(-10)?
660
Let g = -12 - -15. Suppose -4*x - g = 33. Calculate the least common multiple of 14 and ((-2)/7*-9)/(x/(-42)).
84
Let x = 5256 - 63107/12. Let y be (3818/4)/(3/(-6)). Let m = y + 22837/12. Calculate the common denominator of m and x.
12
Let a = -825/4 - -1289/6. Let f be -1 - 0 - 35742/(-35745). Let r = 40987/7149 - f. Calculate the common denominator of r and a.
60
Suppose 7*m + 309 + 363 = 0. Find the common denominator of (306/m - -6) + -6 and 37/44.
176
Let u = -30372126 + 9354633003/308. Let v = -407/7 + u. Calculate the common denominator of -75/16 and v.
176
Let r = -261/616 - -4133/3080. What is the common denominator of r and -71/40?
440
Suppose 92*a - 34*a - 366 + 18 = 0. What is the lowest common multiple of a and 3*1*(-2)/(-3)?
6
Let v = 53449090742009/15720 - 3400069387. Let m = -2/1965 - v. Find the common denominator of m and 67/(-6) - (2 + -2).
24
Find the common denominator of 1/(-7) + -6 + (-46851)/(-7546) and 17/77.
1078
Suppose 0 = 8*h - h + 7. Let z(o) = 4*o - 25. Let k(q) = -q. Let l(b) = h*z(b) - 5*k(b). What is the smallest common multiple of 18 and l(-19)?
18
Let n = 83/8 + -421/40. What is the common denominator of (-6)/9 - (28301/2418 + -11) and n?
620
What is the least common multiple of 6 and ((-230)/(-10) + -20)/(-3) - (-8643)/1?
25926
Let p(a) = -8*a**2 - 13*a - 65. Let w be p(-7). Calculate the common denominator of 3/80 and (87/12 - 7) + w/40.
80
Let d(o) = 3*o**2 - 33*o - 316. Calculate the lowest common multiple of 35 and d(24).
4340
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