456
Suppose 0 = -83*y + 69*y - 2352. Let q = 213 + y. What is the smallest common multiple of 18 and q?
90
Let k be (45*8/40)/(1/131). Let u = k - 4687/4. Find the common denominator of u and 73/6.
12
What is the common denominator of (13/((-52)/(-296)))/(-68 - -48) and (-4)/(-10) - (-269)/(-10)?
10
Let v = -7 - -7. Let z = 15 + -18. Calculate the least common multiple of 1 and 2 + z + v + 14.
13
Let f = -10058 - -10083. Calculate the smallest common multiple of 37 - (-3 + 0 + 5) and f.
175
Let x(u) = 10*u**2 - 2*u + 4. What is the smallest common multiple of 600 and x(-3)?
600
Let f be (-2)/(-2) - -7*(-3)/7. Let d be f/(-5) - (1 - (-92)/(-20)). Calculate the common denominator of -67/10 and d/2 + (-39)/38.
190
Let k be -3 - 161764/36 - (-2)/(-10). Let a = k - -4497. What is the common denominator of 38/5 and a?
45
Let q = -30066/65 - -29215247/63180. What is the common denominator of -27/22 and q?
10692
Let k = -1405/7 + 199. Find the common denominator of 91439/(-3965) - (-27 + 5) and k.
455
Let a = 3887/45 - 21457/45. Let r = a + 97609/252. What is the common denominator of r and -25/6?
84
Let z = 146/367 - 35842/56885. Calculate the common denominator of 167/210 and z.
6510
Let k = 4094 + -4080. What is the lowest common multiple of 86 and k?
602
Suppose -17*h - 116 = -609. Suppose m = -4*n + 181, -n + 2*m = -m - h. Calculate the lowest common multiple of 92 and n.
1012
Let b = -27739 + 998729/36. Find the common denominator of b and -193/7410.
44460
Suppose -5*o = 3*c - 37, -2*o - 4*c = 66 - 78. Calculate the smallest common multiple of o and 184.
184
Let u = 26 + -1. Suppose -2*y + 25*k = 21*k - 78, 0 = 5*y + 5*k - 315. Calculate the lowest common multiple of y and u.
275
Let q = 1165104587/1065 + -1093995. What is the common denominator of q and 63/6035?
18105
Let m = -4239 - -5024. What is the lowest common multiple of 1413 and m?
7065
Let y be (527/250)/(-1) + 75/30. Let d = y - 2121/500. Calculate the common denominator of 11/35 and d.
140
Let k = -2/41733 + 1460789/2796111. What is the common denominator of (-2*2/(-2))/(32/(-58)) and k?
536
Let t = -26723/14070 + -1/1407. Let q = 406339/30 + -13544. What is the common denominator of t and q?
30
Let y = -1592/5 - -25459/80. What is the common denominator of 91/40 and y?
80
Let j = 102222365/94 - 1087472. Let w = -12209/1070 + -31/107. What is the common denominator of j and w?
470
Suppose 421*h - 108715 = 231032. What is the lowest common multiple of h and 5?
4035
Suppose 4*o + 3*t - 47 = 0, 19*o - t + 25 = 21*o. Calculate the smallest common multiple of o and 578.
4046
Suppose -3*d - 4*z - 184 = -851, -5*z - 197 = -d. Let h(j) = -4*j**2 + 7*j - 8. Let t be h(7). Let f = t + d. Calculate the least common multiple of f and 10.
310
Suppose -37*w = -14*w - 14628. Suppose 0 = 23*d - 8 - w. What is the smallest common multiple of 12 and d?
84
Let s = 2681963/6 - 444157. Let q = 2822 - s. What is the common denominator of q and -119/90?
90
Let d = 7347 - 7326. Suppose 3*z = 87 - 15. Calculate the least common multiple of d and z.
168
Let z(k) = 53*k - 2. Let o be z(2). Let t(f) = -9*f + 21. Let a be t(11). Let v = o + a. What is the smallest common multiple of 20 and v?
260
Suppose -2*q - 5*s + 8 = -1, 2*q + s - 5 = 0. Let w be q/(-4) - 59/2. What is the common denominator of -21/2 and (-6)/8*w/54?
12
Let d = 5382 - 9622. Let g = 127171/30 + d. What is the common denominator of g and -133/48?
240
Suppose 3*i + u = 132 + 11, i - u = 53. Suppose 15*y = 41 + i. Calculate the least common multiple of 18 and y.
18
Let t(w) = -109*w**3 - 4*w**2 - 12*w - 10. Let l be t(-1). Suppose 4*b - 650 + 142 = 4*i, 0 = b + 4*i - l. What is the smallest common multiple of 21 and b?
861
Let d = -591 - -4111/7. Find the common denominator of 71/1800 and d.
12600
Suppose -7*i - 770 = -29*i. What is the least common multiple of i and 525?
525
Suppose 81*a = 77*a + 32. Suppose -5*v + 6*u = a*u - 127, 3*u = v - 39. Calculate the smallest common multiple of v and 15.
135
Let p = 2511 - 271. Calculate the lowest common multiple of p and 7.
2240
Find the common denominator of 115/12 and 2*(-10)/((-151140)/517).
2748
Find the common denominator of -113/60 and (12/(-7400))/(222/185).
2220
Let p be (5300/(-371))/(4/(-42)). Suppose -3*l = 3*d + p, -l + 4 = -5*d + 54. Find the common denominator of l and -8/11.
11
Let s(o) = o**2 - 2*o - 43. Let m be s(-6). Suppose 60 = m*x - 5*d, 0 = -4*x - 0*x + 2*d + 40. What is the least common multiple of 49 and x?
392
Let n = -18 + 33. Let w be 224/11 + 124/(-341). What is the smallest common multiple of 88/w + 0 + (-6)/n and 36?
36
What is the common denominator of ((3 - 5)/(-6))/((-12)/(-516)) and -79/138?
138
Let b = -11/569 + 7529/6828. Calculate the common denominator of -103/876 and b.
876
Let y be 6/(-18)*(-5 + -31). Suppose 121 = -y*q + 553. What is the least common multiple of q and 204?
612
Let j = 9292 - 1124347/121. What is the common denominator of j and (4/(-6))/(1224/273 - 4)?
726
Let t be 2*12/(-210)*290/(-76). Let h be (-17567)/3990 - (-4 - -1). Let q = t + h. Find the common denominator of -19/6 and q.
30
Suppose 748 = -0*r + r. Calculate the smallest common multiple of -13 - 4*(13671/84)/(-31) and r.
1496
Let r = -611953/28 - -21859. Let n = -76651/22120 + 3/3160. Find the common denominator of n and r.
28
Let z = 52641919/313040 - 15300/91. Calculate the common denominator of -33/64 and z.
13760
Let u = -1267247/3647059 - -552/1651. What is the common denominator of u and -14/5?
11045
Let m(x) = -x**2 + 29*x + 14. What is the smallest common multiple of m(7) and 21?
168
Suppose -14*i + 13*i = -3*w + 302, 4*w - 402 = i. Suppose 2*o + w = 5*l - 167, -o + 3*l = 135. Let s = -124 - o. What is the least common multiple of s and 4?
4
Find the common denominator of 45/1928 and ((-1)/(-10)*46)/((-125079)/(-865)).
5784
Suppose -31*l + 589 = -341. What is the lowest common multiple of 570 and l?
570
Suppose -2*s = -1 - 3. Let c = 8419/12 + -695. What is the common denominator of c and s + 324/40 - 3?
60
Suppose -55 + 43 = -2*t. Let h = 11 + -7. Suppose -86 + 222 = h*o. Calculate the lowest common multiple of o and t.
102
Suppose 10*i - 7269 = 9164 - 4193. Calculate the lowest common multiple of i and 60.
6120
Let n = -246509/19528 + -4/2441. Let w = -2122 + 8565/4. Let a = 18 - w. What is the common denominator of a and n?
8
Find the common denominator of -97/104 and (158/20)/((-3139)/(-215)).
7592
Let w(t) = -3*t - 83. Let c be w(-25). Calculate the smallest common multiple of ((-132)/30)/((-2)/10) and -1 + 3 - (c + (2 - -4)).
44
Let n(l) = -70*l**2 + 3 + 69*l**2 - 12*l**3 + 5 + 4*l - 4. What is the lowest common multiple of n(-1) and 0 + -1 + 0 + 25?
264
Let u(d) = d**2 - 9*d + 590. What is the smallest common multiple of u(15) and 612?
6120
Let u(f) = -171 + 3*f + 4*f + 3*f + f - 2*f. Calculate the lowest common multiple of 96 and u(27).
288
Let w = -451 - -433. Let x = -26813/54 + 991/2. What is the common denominator of x and (3 + (-108)/28)/(w/532)?
27
Let k be -1 + (-3)/((-335988)/101554). Let a = k - -2/3111. Let n = -17537/6 - -2916. Find the common denominator of a and n.
54
Let i = -3327191/12528060 + 3/70780. What is the common denominator of i and 43/59?
177
Let c = 33831281/18316 + -35094/19. Find the common denominator of 101/4338 and c.
8676
Let b = -9363 + 9658. Calculate the least common multiple of 170 and b.
10030
Suppose 3*m + 46*x - 41*x - 82 = 0, -m = -2*x - 20. Calculate the lowest common multiple of 192 and m.
192
Let t(w) = -w**3 + 9*w**2 + 25*w - 14. Let g be t(11). Suppose g = -4*y - 5. Calculate the smallest common multiple of 36 and 2/(-9)*3 + (-76)/y.
36
Let s(b) = -4*b + 64. Let y be s(0). Let p = y + -34. Calculate the least common multiple of p and 100.
300
Let k be (-763302)/312 + 3/(-4). Let b = k - -2445. Calculate the common denominator of -69 + 74 + -3 + (-39)/(-9) and b.
39
Let o be (-2*10)/((-8)/20). Suppose o = 5*p - 40. Suppose -14*r + 42 + 70 = 0. Calculate the smallest common multiple of r and p.
72
Calculate the lowest common multiple of 445 and ((-50)/300)/((-3)/126).
3115
Calculate the least common multiple of (2/4 - 25/6)*(-288 + -105) and 1179.
12969
Let b be (-84)/(-63)*3/2. Suppose -u - 2*u = 6, -3*u + 12 = b*a. Calc