 -4*t - 4*w = 276 + 4, -4*t + 2*w = 304. Let o(h) = -2*h**2 + 8*h + 6. Let a be o(9). Let y = t - a. Calculate the smallest common multiple of y and 18.
90
Let j = -2585 - -426454/165. Calculate the common denominator of -25/6 and j.
330
Let b(l) = -7*l + l - 15 - 15*l - 2*l**2 + 9. Calculate the lowest common multiple of b(-10) and 6.
12
Let h(i) = i**2 + 7*i - 7. Let j = 18 - 28. What is the smallest common multiple of -4 + 1 - 90/j and h(-8)?
6
Suppose -2*a + 2676 = -4*z, a = 266*z - 269*z + 1323. Calculate the smallest common multiple of 1036 and a.
9324
Let x = -59/165 - -4/15. Let z = 90213 + -46098858/511. Let c = z + -2963/38325. Calculate the common denominator of c and x.
825
Suppose -5*i + l + 0*l = -13, -3*l + 6 = 0. Suppose -5 = k, 2*h = -i*k - k + 52. Calculate the lowest common multiple of 66 and h.
396
Let w(g) = -3*g**3 + 9*g**2 + 2*g - 2. Let s be w(3). Suppose -8*d = s - 116. Calculate the smallest common multiple of d and 84.
84
Let n = 3022868 - 60439033/20. Let a = n + -912. Find the common denominator of -7/5 and a.
20
Let z be -445*64/60*-3. Let m = z - 11365/8. What is the common denominator of 145/12 and m?
24
Let c = 2/1111191 + 123336001/3444692100. Calculate the common denominator of c and -103/80.
12400
Suppose -26*n - 1 + 61 + 44 = 0. What is the smallest common multiple of 178 and n?
356
Let f = -871 - -332. Calculate the common denominator of 9/28 and f/980*(-1)/(-2).
280
Let o = 2/39583 - -4314127/8312430. What is the common denominator of o and -27/455?
2730
Let r = -4 - -8. Suppose -70*s + 74*s = -48. Calculate the lowest common multiple of 3*(s + -1)*-1 and r.
156
Let j = 123205/3354 + -1536/43. Calculate the common denominator of -101/624 and j.
624
What is the least common multiple of 45100 and (-162)/(-15) - 642/(-535)?
135300
Calculate the common denominator of (1 - (-693)/156) + -33 + 26 and -42/53.
2756
Let z be 2/5 - -103993*(-42)/(-340). Let f = z + -12847. Find the common denominator of f and 99/136.
680
Let o(f) = 47*f**2 - 28*f - 170. Let l be o(-15). Let w = l + -920098/85. Calculate the common denominator of -19/102 and w.
510
Suppose 162 = -57*q + 51*q. Calculate the common denominator of (-3)/q - 7336/(-882) and -40/83.
581
Suppose 285 + 597 = 49*g. Let d be 3/(-2)*-4 + -2. Suppose -27 = -v + 3*i, -3*i + 114 + 9 = d*v. What is the lowest common multiple of g and v?
90
What is the lowest common multiple of 4/(-9) - (-150024)/513 and 2628?
2628
Let z be (-5 - 4089205/1416580) + 6. Let y = z - -2/6439. Find the common denominator of -67/4 and y.
44
Let n be (2 - 67/2)*(3 - 5). Suppose n = 4*d - 13. What is the common denominator of (d/(-8))/(12/(-30)) and 111/14?
112
Let o = -5517 - -5557. Let v = 0 - -5. What is the least common multiple of o and v?
40
Let u(q) = q**3 + 92*q**2 + 266*q + 159. What is the smallest common multiple of 93 and u(-89)?
744
Let v = -818178793/1032 + 792809. Find the common denominator of v and -93/28.
7224
Suppose d + 2*w - 36 = 0, w + 89 = 4*d - 2*w. Suppose 2*v - d = 14. What is the smallest common multiple of 4/(-13)*2262/(-348) and v?
20
Suppose 5*r - 34 = 26. Suppose -417*w = -176*w - 1446. What is the least common multiple of r and w?
12
Let d(f) = -f**2 - 11*f + 4. Let m be d(-11). Suppose 840 = m*o + 616. Calculate the least common multiple of 72 and o.
504
Let l(j) = -1112*j**2 + 1. Let u be l(2). Let x = u + 373537/84. Let c = -328/5 - -2521/35. Calculate the common denominator of c and x.
84
Let m = 12/119 + 8413/357. Suppose -4*p = t - 44, 10*p - 5*t = 5*p + 30. What is the common denominator of m and 3/15*-2*p/12?
3
Let k = -187979/1596 + 2253/19. Find the common denominator of -41/9 and k.
252
What is the least common multiple of 30 and 347 + ((-1)/3)/(45/810) + 4?
690
Suppose 4*p = 4*o - 3308, -4*o - 9*p = -4*p - 3317. Calculate the common denominator of 6/(-1) + o/720 and -97/12.
60
Let l(x) = 17*x - 18*x + 12*x - 108. What is the smallest common multiple of 10 and l(13)?
70
What is the lowest common multiple of (-113652)/(-1980) + 3/5 and 11?
638
What is the common denominator of -179/60 and (15 + (-603)/18)/2?
60
Calculate the lowest common multiple of (21/6 - 501/(-6)) + 13 and 93/3 + (-2)/2.
300
Calculate the smallest common multiple of ((-756)/(-15))/(22/495) and 90.
5670
Let o = -5924/375 + -9/250. What is the common denominator of 0/2 - -242*(-3)/(-60) and o?
30
Suppose -10*q + 2052 = 2*q. Let k be 4/((-3)/q*2*-3). Find the common denominator of (-25)/k*(2 + -1) and -41/16.
304
Let a = 5232 - 204044/39. Calculate the common denominator of 151/654 and a.
8502
Let o = -32191 + 772661/24. Calculate the common denominator of o and 115/9948.
19896
Calculate the least common multiple of 0 + 0 - (-1868 - -6) and 171.
16758
Suppose -18*f + 29*f - 110 = 0. Calculate the common denominator of 43/175 and (-71)/16*f/(-35).
1400
Suppose 7*m = 5*f + 3*m - 52, 5*f + m = 62. Suppose 234*l - 239*l - 30 = t, 3*l - 3 = -2*t. Calculate the lowest common multiple of f and t.
60
Let o = 1 - 12. Let f = -1087 + 1067. Let n = o - f. Calculate the lowest common multiple of 24 and n.
72
Let k = 209865 - 29382117/140. Let p = k - -102107/15540. Find the common denominator of p and 73/12.
444
Suppose -b = -b + 6*b. Let y(k) = -k**2 + 10*k + 78. Let n be y(b). Calculate the common denominator of -79/8 and (4/n)/(13/3 - 4).
104
Let v(k) = -3*k - 54. Let d be v(-3). What is the least common multiple of (570/d)/(2/(-36)) and 8?
456
Let o(w) = 4055*w**3 - 2*w. Let f be o(2). Let j = -7542739041/40 + 188600910. Let d = j - f. Find the common denominator of d and -81/16.
80
Let d = -224119 + 49306277/220. Calculate the common denominator of d and 35/8.
440
What is the common denominator of 52/35 and -8 - 0 - (227748/(-27528) + 4/(-62))?
2590
Suppose 20*k = -228 + 828. What is the common denominator of -37/18 and (k/(-40) - (-290)/384)*118?
288
Suppose -1320*s + 3*v = -1322*s + 255, -2*v = -2*s + 230. What is the least common multiple of 1215 and s?
9720
Let g = 355 + -345. What is the common denominator of 2/177 and (1310/375)/((24/g)/3)?
1770
What is the lowest common multiple of 85255/35 + ((2 + 1)/21)/1 and 8?
4872
Let m = -10896 - -12434. Calculate the smallest common multiple of m and 16.
12304
What is the common denominator of 35/(-1 + -734) - 1759/4956 and 27/488?
28792
Let w be 10/4*(-20360)/275. Let t be 12 + 730/(-60) - 222638/(-1188). Let u = t + w. What is the common denominator of -68/27 and u?
27
Let o = 3680 - 3671. Calculate the smallest common multiple of o and 2952.
2952
Suppose -25 = 5*r, -3*o + 10879 = -5*r - 9855. Suppose 2*y = 2*p + 3003 - 249, -5*p = y + o. Calculate the common denominator of (1/8)/(9/p) and 57/4.
12
Let l(d) be the third derivative of d**6/120 + d**5/60 - d**4/24 + 21*d**3/2 + 110*d**2. What is the least common multiple of 12 and l(0)?
252
Let r = -414189/50 + 8286. What is the common denominator of r and 73/52?
1300
Suppose 22 + 18 = a + 4*l, a - 3*l - 12 = 0. Let p = 228 - 382. Find the common denominator of a/84 - (-142)/p and 34/19.
209
Let p = -51953/840 - -943/15. Calculate the common denominator of p and (-60)/150 - 223/(-120).
168
Let f = -2771203/64 + 43299. Let b = 2/1157 - -63627/4628. What is the common denominator of f and b?
64
Calculate the smallest common multiple of -10 - 351/(-36) - ((-3298)/8)/1 and 12.
1236
Suppose 58*t - 84 = 57*t. What is the common denominator of -1/77 and (3*(-1)/t)/(7/(-1190))?
154
Let d(k) = 19*k**2 - 128*k + 129. Calculate the least common multiple of 3996 and d(1).
19980
Let o = 10107/7 - 980631/679. Find the common denominator of 74/9 and o.
873
Let q = -202715/28 - -7241. Calculate the common denominator of 133/48 and q.
336
Let x = 33 - 36. What is the common denominator of 93/26 and (-2)/12 + (-26)/x - -3?
26
Let j(r) = -21*r**2 + 2*r - 3. Let u be j(-3). Let o = -109948/21 - -5233. Find the common denominator of (2 + 0)/(u/201) and o.
231
Let l = -11599 + 11625. What is the lowest common multiple of (-1 + 2)/(1/6) and l?
78
Calculate the common denominator of 8/(-4)*3483/138996 and -71/897.
19734
Let k(w) = 3*w**3 - w**2 - w - 1. Let h be k(-1). What is the lowest common multiple of 310651/6479 + (-2)/(-38) and h + (1 - -1) - -8?
48
Let b be -10 + 56/4 + -247 + -2. Find the common deno