0)?
18
Suppose -13 = -3*f + 4*d, 2*f - 2*d - 2 = 4. What is the common denominator of (205 - f)*(-26)/(-1040) and 46/5?
20
Calculate the common denominator of 61/10 and 0 + -12 + (-115104)/(-10368).
540
Suppose 0 = 138*b - 130*b - 40. Suppose 0 = 4*i - 16, 0*r + 2*i = -b*r + 88. Calculate the smallest common multiple of 540 and r.
2160
Let y = 65101/36 + -1809. What is the common denominator of -49/6 and y?
36
Find the common denominator of 57/14 and (-93)/(-75) + 16/((-96)/9).
350
Suppose 5*r + 11 = -6*r. What is the lowest common multiple of (67 + -57)*r/(-2) and 64?
320
Let v(c) = 11*c**2 - 2*c + 1. Let s = 4854 + -7735. What is the least common multiple of 8/5 + -1 + s/(-215) and v(1)?
70
Let t = -7 - -11. Let p(r) = 3*r**2 - 12*r - 219. Calculate the least common multiple of p(-7) and t.
12
Suppose -4*d = -b + 6*b + 143, 0 = 5*d + 10. Let f = b - -68. What is the smallest common multiple of f and 4?
164
Let o = 304573/114 + -2673. Calculate the common denominator of -109/24 and o.
456
Let g = -3984516 - -16675199549/4185. What is the common denominator of g and -94/3255?
29295
Let f be 15*10/(-45)*(-9)/(-2). Let n = -128543/25080 + 1/3135. Calculate the common denominator of f/(-30) + (-58)/31 and n.
248
Let x(d) = -d**3 - 6*d**2 + 6*d - 4. Let l = 7 - -46. Suppose -l = -2*j + 2*g + 3*g, 0 = -4*j + 4*g + 100. What is the lowest common multiple of x(-7) and j?
24
Let o = -3055/97 - -1314039/41516. What is the common denominator of o and 85/24?
2568
Suppose -3*d + 4*c = -261, 0*c + 435 = 5*d + 3*c. Let q = 43/14 + -4/7. Calculate the common denominator of q and (d - 91) + 1/(24/302).
12
Let l be (121/2)/(1/2). Let r = -2374019/54 - -43965. What is the common denominator of r and (l/5)/((-18)/5)?
54
What is the lowest common multiple of 18 and (-85)/(-34)*(1 + (-6424)/(-40))?
3636
Let x = 31 + -29. Suppose -s = -2*c + 14 + 7, c = -x*s + 3. Suppose -12*d + c*d = -90. What is the smallest common multiple of d and 30?
30
Let w(o) = o - 13. Let q(a) = -12. Let c(j) = -5*q(j) + 4*w(j). Let f be c(-2). Calculate the lowest common multiple of 22 and -3 - (1 + (2 - (124 + f))).
1298
Suppose 6*i - 5 = -35. Find the common denominator of (-1054)/51*(-3)/i and -44/3.
15
Let b = -25669 + 275. Let q = b + 2031613/80. Calculate the common denominator of -73/50 and q.
400
Suppose -21*h + 417 = -3195. Suppose 0 = i - 2*i + 5, -2*f = 2*i - 26. What is the least common multiple of f and h?
344
Let p = -12105319549 - -1743174792491/144. Let i = p - 60954. Find the common denominator of 47/6 and i.
144
Let a = 35289 - 3669949/104. Calculate the common denominator of (-2)/((-4)/66)*(-60 + 61) and a.
104
Let k = 61 - 13. Let u = -378 + 384. What is the least common multiple of k and u?
48
Calculate the common denominator of 14/(-1) + 5/20 and (2 + (96/(-28) - -7))/((-20)/7).
20
Suppose 1609*v = 1717*v - 36612. What is the smallest common multiple of 22 and v?
7458
Suppose -1492 = 83*p - 88*p - 3*f, -4*f = -2*p + 602. What is the least common multiple of p and 230?
2990
Suppose -5*p + 4*r + 9 = 2, p + 7*r = 56. What is the lowest common multiple of p and 3377?
23639
Suppose 7*r = 4*a + 9067, 0 = 15*r - 19*r + 5*a + 5173. What is the least common multiple of 10 and r?
12970
Suppose 7*n - 12 = 3*n. Suppose -n*l + 21 = -45. Calculate the lowest common multiple of l and ((-6)/15)/((-9)/45).
22
Let c(o) = -2*o**2 + 12*o + 6. Let t be c(20). Let x = 3889/7 + t. What is the common denominator of x and -68/3?
21
Let b = 34331 + -34310. What is the least common multiple of 3360 and b?
3360
Suppose 15 = 2*j - 3*y, -j - 3*y = 2*j. Let u be 2*(-1)/j*-6. Suppose 0 = w - 2 - u. Calculate the smallest common multiple of 30 and w.
30
Let w(d) = -15*d - 9 + 18*d**2 - 61*d**3 - d + 60*d**3. Let f(n) = 8*n + 9. Let r be f(1). Calculate the smallest common multiple of w(r) and 6.
24
Let x(q) = q**3 - 9*q**2 + 3*q + 8. Let j be x(8). Let p = -26 - j. Suppose -39*m + p = -38*m. What is the smallest common multiple of 1 and m?
6
Let n(h) = 7*h**2 - 5*h + 4. Let y be n(2). Suppose 0 = b + y*b - 460. Calculate the lowest common multiple of 114 and b.
1140
Suppose -20 = -2*j - 3*f + 2*f, -2*j + 3*f = -36. Suppose 0 = -70013*b + 69992*b + 168. Calculate the lowest common multiple of j and b.
24
Let u be (3 - (-7)/(-4))*4. Let q(h) = h - 2. Let j be q(u). What is the lowest common multiple of ((9/3)/3)/(j/30) and 6?
30
Suppose 0 = 5*o + 4*g - 540, -3*o - 70 + 394 = 2*g. Let m(s) = -s**2 + 28*s + 181. Calculate the lowest common multiple of m(-5) and o.
432
Let w = 4 - 0. Let g(p) = p**3 - 79*p**2 + 73*p + 397. What is the smallest common multiple of g(78) and w?
28
Suppose s = -3*s + 24. Suppose 0 = -10*i + s*i - 232. Let o = i - -66. Calculate the lowest common multiple of o and 12.
24
Let d be 5/45*111 - 2/6. Find the common denominator of (-1227)/330 + (-6)/(-15) and (d/(-4) + 133 + 1)/(-12).
132
Let v(q) = -q**3 + q**2 + 9*q + 3. Let u = 514 + -482. What is the lowest common multiple of v(3) and u?
96
Suppose 35588 = 41*p + 41*p. Calculate the lowest common multiple of p and 217.
434
Suppose 34 = 11*n - 6*n - 2*b, 4*n - 32 = 4*b. Calculate the smallest common multiple of n and 68.
204
Let o = -3253 - -4450. Calculate the least common multiple of 12 and o.
4788
Suppose 6*q = -13*q + 171. Calculate the smallest common multiple of q and 8 - -3 - (-2)/2.
36
Suppose 0 = -5*h - 3*m + 35, 3*h + 74*m - 72*m = 22. Suppose 0 = 3*t - 5*w - 145, t + 2*w + 157 = h*t. Calculate the smallest common multiple of 110 and t.
110
Let f = -738899/88 + 8396. Find the common denominator of 31/44 and f.
88
Let w be (0 - 2/(-10)) + 23373107/(-510). Let f be (2 - 1)/(2/91658). Let d = f + w. What is the common denominator of d and -55/6?
102
Suppose 23*k - 6 = 17*k. Let i(s) = -s - 3. What is the smallest common multiple of i(-8) and ((-50)/75)/(k/(-9))?
30
Let x(m) = 33*m**2 + 3*m + 2. Let b be x(-3). Let r = 5147 - 154349/30. Find the common denominator of (6/30)/(36/b) and r.
90
Suppose 0 = -f + 3*f + 4. Let u = 95150 - 95124. What is the least common multiple of u and (-17)/f - 2/4?
104
Let a = -14853/10270 - -361/316. Calculate the common denominator of a and 17/520.
520
Let i = 4310 - 4128. Calculate the least common multiple of i and 4.
364
Suppose 4*g + j = 11584, -2*g - 8*j + 5792 = -3*j. Let u = g + -11493/4. Calculate the common denominator of 123/70 and u.
140
Let u = 295 + -305. Let t = 39 - 25. Calculate the least common multiple of t and (-120)/(-21) - u/35.
42
Let i(a) = 8*a + 25. Let t be i(-11). Let r be 2/6 + 5691/t. What is the common denominator of 0 - (-3 + 231/r) and 14/3?
30
Let d = 7343 + -110099/15. Let r = d + 79/90. Calculate the common denominator of r and 87/62.
558
Let s(u) = u - 2. Let z be 4 + (0 - (-2 + -2)). Suppose -7*v + z = -3*v. Calculate the least common multiple of s(7) and v.
10
Let r = -2341038 - -25769989/11. Let t = 1684 - r. What is the common denominator of t and (-3*(-36)/(-4260))/((-2)/30)?
781
Suppose -38*m = 4*m - 504. Calculate the common denominator of 74/(-24) + 0 - 9/m and 61/3.
6
Calculate the common denominator of 32066/8040 + 340/(-102) + 2/(-3) and -103/18.
12060
Suppose -2*n = -2*g + 28, n = -2*g + 6*n + 22. Suppose 23*d + 50 = 28*d. Calculate the smallest common multiple of 2/((-45)/d + 4) - -14 and g.
80
Let r = 628323/11 + -57172. Let u = -27/22 - r. What is the common denominator of -11/62 and u?
62
Let w = 106792/45665 + -3759181383/166403260. Let s = -2/911 - w. Let h = 6209/4 - 1529. What is the common denominator of s and h?
4
Let f be ((-18)/(-7))/(28851/826). Let d = 7805/1956 - f. Calculate the common denominator of d and -27/136.
408
Let v = -27690 - -27747. What is the lowest common multiple of v and 90?
1710
Let x be -12*(-3 + (-3)/((-6)/137)). Let o = 995 + x. Calculate the lowest common multiple of o and 190.
2090
Let h(w) = w**3 + w**2 - 5*w + 10. Let o be h(2). Let u be (-16)/o*12/(-4) - 6. Calculate the smallest common multiple of 40 and (-2)/(-3)*u*3*-8.
160
Let g be ((-24)/4)/(-2)*(-8)/(-6). Suppose 3*m + 4*c = -2 + 52, g*m + c - 71 = 0. Calculate the smallest common multiple of m and 290.
2610
Let w be 18 - -3 - 2/1. Let q = w - 15. Suppose q*o + 34 + 13 = 5*d, 0 = -3*d - o + 35. Calculate the smallest common multiple of d and 