pose 3*t = 3*s + 18, 4*t = -s - 18 + 72. Calculate the smallest common multiple of t and 1802.
10812
Suppose 0 = 5*x - 20 - 5. Let p(l) = -3*l - 46. What is the least common multiple of p(-17) and ((-15)/25)/((-1)/x)?
15
Let z = 7421/6234 + 1/14546. Let q = 558/7 - 3896/49. Find the common denominator of q and z.
147
Let s = 96926/9 - 15314617/1422. What is the common denominator of s and -149/24?
1896
Let d = 7348 + -5188. What is the smallest common multiple of 396 and d?
23760
Let v = -2939 + 17593/6. Find the common denominator of v and 1/10.
30
Suppose 2 = 5*n - 8. Let o(p) = -3*p**2 - 34*p - 3. What is the least common multiple of o(-11) and ((-28)/21)/(n/(-12))?
8
Suppose 732*t - 924 = 728*t. Calculate the lowest common multiple of t and 385.
1155
Let d be (2 - (-27)/(-12)) + 4147/(-52). Let h = 86 + d. What is the least common multiple of 172 and h?
516
Let f = 3415 - 4897. Find the common denominator of 79/6 and 4085/f + (-1)/((-9)/(-6)).
78
Suppose -w - b = -23, 0*b + 4*b - 38 = -w. Let m(g) = g**3 - 19*g**2 - 719*g - 105. What is the smallest common multiple of m(38) and w?
18
Let i(t) = -t**2 - 120*t - 2150. Calculate the smallest common multiple of i(-88) and 258.
28638
Suppose -3*w = 4*c - 9*c + 31, -2*w + 21 = 5*c. Suppose d + 6 = 2*d. What is the lowest common multiple of 20 and w - (-13)/(13/d)?
20
Calculate the common denominator of (93/186)/(68/(-240)) and -32/799.
799
Let v = 614 - 610. Suppose -10*q = v - 74. Let g = -23 - -44. What is the least common multiple of g and q?
21
Suppose 779 + 922 = 243*o. Calculate the least common multiple of o and (8/(-12))/((-2)/30).
70
Let b = -6902 + 34466/5. Let s = 1/4047 - -39112/36423. Calculate the common denominator of s and b.
135
Let t(j) = -5*j + 28. Let x be t(8). Let w(q) be the first derivative of 3*q**2/2 + 38*q + 33. What is the least common multiple of w(x) and 3?
6
Let l = -111 - -121. Let s = -1632 - -1669. What is the lowest common multiple of s and l?
370
Let z be 2*(-3 + 636/(-8)). What is the common denominator of -76/93 and (z/8)/((-2)/(-8)*9)?
186
Let a(v) = -21*v - 58. Let y be a(-12). Let d = y - 197. Find the common denominator of d and 41/9.
9
Suppose -50*b + 113*b - 2646 = 0. What is the smallest common multiple of b and 36?
252
Let s = -64969/1980 + 164/5. What is the common denominator of s and 2/285?
37620
Suppose -5*f + 947 + 312 = 2*d, f - 3090 = -5*d. Let z be (-1 - 28/(-24)) + d/(-10). Let a = z - -331/5. Calculate the common denominator of -70/9 and a.
9
What is the common denominator of (9 + -8)/4 - (-3 - 12938/(-3992)) and -19/22?
10978
Let w = -641 + 644. Suppose 0*j - 2*f + 3 = -3*j, -j = f + 1. Calculate the common denominator of 59/44 and (-1595)/(-132) + 5/w + j.
44
Suppose -4*g - 4*m = 6 + 18, g - 4 = m. Calculate the common denominator of 19825/(-1050) + ((-2)/(-7))/g and 27/184.
552
Let j be (-5 - (-1 + -3 + 2)) + 47. What is the common denominator of 59/10 and ((-1)/(1/(-2)))/(10/j)?
10
Suppose 53*z - 1343 = -22*z - 218. Calculate the lowest common multiple of z and 4089.
20445
Calculate the least common multiple of 36 and 154238/63 + 28/(-126).
2448
Let u be (-3)/(-7) - (-20691)/133. Suppose -4*v + 3*f - u = 16, -4*f - 200 = 4*v. What is the common denominator of v and 127/72?
72
Let y be 5*(-6)/(-75) - 53972/134980. Let n = 74287/323952 - y. Find the common denominator of (1 - 1) + (-17)/6 and n.
48
Let t = 350452 - 4177957/12. Let d = -2292 + t. Let r = 7530 + -45295/6. Find the common denominator of d and r.
12
Let l(t) = -75*t + 3. Let u be l(-1). Suppose 55 = 83*j - u*j. What is the least common multiple of j and 39?
429
Let d(n) = 2*n**2 - 5*n + 12. Suppose -5*s + s - 8 = 2*q, -5*s - 20 = 0. Let l be d(q). What is the common denominator of 69/2 and 3 + 1/l*111?
8
Let j(d) = 2*d**3 - 29*d**2 - 34*d + 10. Let z be (-1 - (-156)/12)/(6/8). What is the lowest common multiple of j(z) and 18?
234
Let a be (-3 - -10*1)/1. Let w be 348/42 - 2/a. Suppose 3*l = -l + w. What is the lowest common multiple of 1 and l?
2
Suppose 42 = m - a, -2*m + 92 - 26 = a. Calculate the lowest common multiple of m and 604.
5436
What is the common denominator of -8 and (-40*25/(-300))/((-5968)/(-39))?
2984
Let h = 4906/9 + -39395/72. Let z be ((-18752)/5736)/(-8) - 2/6. Let v = z - 7571/2151. What is the common denominator of v and h?
72
Suppose 3*y + 5*x - 4 = 0, -6*y = -8*y - 2*x + 4. Suppose -9 = -y*z, 5*q - z = 51 - 554. Calculate the common denominator of (-6)/2 + (-245)/q and 43/10.
20
Suppose -g + 10 = -2. Suppose -27 = -3*r - 3*m, 0 = -2*m + 6*m + g. Let v(y) = y**2 + 8*y - 22. Calculate the smallest common multiple of v(3) and r.
132
Let u = -619733/55 + 11269. Calculate the common denominator of -97/22 and u.
110
Let d = 358/69 + -6719/138. Find the common denominator of (-4)/(-6) + 7/8 and d.
24
Let n = 2/7237 + 339963/636856. Calculate the common denominator of -1/55 and n.
440
Let p(d) = d**2 + 9*d + 29. Let s be p(-14). Let w = 117 - s. Let n = 60 + -38. Calculate the least common multiple of w and n.
198
Suppose 5906*d = 5932*d - 6760. Calculate the lowest common multiple of 650 and d.
1300
Let p = -3212403 - -9656483569/3006. Find the common denominator of -97/1002 and p.
3006
Suppose -59*g + 3 = 4*b - 56*g, 52 = 4*b - 4*g. What is the smallest common multiple of 240 and b?
240
Let x(w) be the first derivative of -w**2/2 - 14*w - 93. Calculate the lowest common multiple of x(-46) and 88.
352
Suppose -5*j - 241 = -651. Let r = 26750 - 26734. Calculate the least common multiple of r and j.
656
Let a be (-2 + 0)*24/24*1. Find the common denominator of a/(-1) + 2418/(-1040) and -1/15.
120
Let o = -7572/17 + 748591/1683. What is the common denominator of 133/792 and o?
792
Let v(i) = -32*i - 2696. Calculate the smallest common multiple of 172 and v(-95).
344
Find the common denominator of (-80)/18 - (58 - 66) and 61/(-66) - ((-21)/6 + 3).
99
Calculate the common denominator of -11 + -3 + 18072/1344 and -11/192.
1344
Let g = -63 + 201. Let s = 8999/8 + -1127. Find the common denominator of ((-1)/9)/((-3)/g) and s.
72
Suppose -56*q + 61*q - 48 = 2*w, 2*q - 3*w - 28 = 0. Suppose -2*g + u = 2*g - 65, -3*u - 3 = 0. Calculate the lowest common multiple of g and q.
16
Let f = -55 - -63. Suppose -f*h = -h - 56. Find the common denominator of -23/2 and (0 + 69/12)*2/h.
16
Let r = -1595 - -901. Let l be (-3)/r*60/(-225). Let f = l - 20469/3470. Find the common denominator of -58/9 and f.
90
Suppose -26*w = -52118 + 51260. Suppose -1259 = -5*n + 241. Calculate the least common multiple of n and w.
3300
Let p = 628 + -183. Let f = 505 - p. What is the lowest common multiple of 40 and f?
120
Let n(g) = 2*g**2 + 6*g + 7. Let w be n(-5). Find the common denominator of (-23)/3*w/1206 and (-2)/15*30/(-80).
1340
Let s be -23*17*(-203)/1372. Let b = s + 107/392. Let j = 1631/24 - b. Calculate the common denominator of -65/14 and j.
42
Let s(n) be the first derivative of -n**2 - 9*n - 1. Let z be s(-7). Calculate the smallest common multiple of 6 and (3/z)/(5/125).
30
What is the least common multiple of (-24394)/(-20) - (-90)/300 and 2440?
2440
Let l(r) = -r**3 + 3. Let w = -101 + 781. Let b = -677 + w. What is the least common multiple of b and l(0)?
3
Let f = -11466483/118 - -97173. Calculate the common denominator of f and 19/708.
708
Suppose 4*r - 13680 = -14*r. Calculate the common denominator of r/(-56880) - (-6)/27 and -47/10.
790
Let t(f) = -f**3 - 13*f**2 + 31*f - 261. What is the lowest common multiple of 94 and t(-16)?
1034
Calculate the common denominator of -3/7525 and (-82)/(-16)*(0 - 21/(-105)).
60200
Let i(u) = -237*u + 273. Suppose 3*l = -l + 176. What is the smallest common multiple of i(1) and l?
396
What is the common denominator of 18/(-12) + 119525/80475 and -41/5?
32190
Let u = 3450 - 3333. What is the least common multiple of u and 143?
1287
Suppose l - 3*c = 0, 0 = 2*l + 7*c - 11*c. Suppose 3*y - 24 + 23 = -2*i, l = 3*i + 12. Calculate the least common multiple of 33 and y.
33
What is the common denominator of -103/20 and (-4 - 5680/(-1408))/(9/412)?
660
Suppose 5*z - 746459204 = 760066036. Let q = z - 10847741209/36. Let n = q + 21098. Find the common denominator of 29/10 and n.
180
Suppose -7 = -4*t + 5. Suppose -c = -t*c + 40. What is the