ulate the common denominator of n and -3 + (-25)/135*-33.
387
Suppose -5*y + 38 = o, 0 = 333*y - 338*y - 3*o + 44. Calculate the lowest common multiple of y and 47.
329
Let i(n) = 9*n**2 - 18 + 17*n - 2*n - 10*n**2. Let y be i(9). Suppose -34*q + 32*q + y = 0. What is the smallest common multiple of 6 and q?
18
Let h be (47 - 2) + 3 + -2 + -4. Suppose h*t - 33*t - 6174 = 0. What is the smallest common multiple of 4 and t?
1372
Let t be 900/210 - (-1 - (-18)/14). Suppose -145 = -5*x - 5*g, -3*x + t*g = 6*g - 84. Let q = -23 + x. Calculate the smallest common multiple of q and 30.
30
Suppose 4*r + 142 = 2*h, -r + 2*r = 5*h - 58. Calculate the common denominator of (18/(-252))/((-4)/(-8)) - 159/(-1603) and r.
229
Suppose -5*y + 14 = 2*d - 4*y, 5*d = -3*y + 37. Let n be 3 + 898*d/40. Let w = 116 - n. Calculate the common denominator of w and -25/6.
12
Let c(f) = f**2 + 3*f - 30. Suppose 5*n = 4*j - 47 + 1, -5*j + 15 = -2*n. What is the smallest common multiple of 12 and c(n)?
120
Let t = 10504 - 8968. Calculate the least common multiple of 132 and t.
16896
What is the common denominator of 40/(-44)*(303/108 - 2) and 0 - 8/14 - 1555/(-700)?
1980
Calculate the common denominator of 17/363 and (-150)/540*(-12)/(-8800)*86.
14520
Suppose -3*u - 3*z - 20 = -479, -u = 4*z - 162. Calculate the lowest common multiple of u and 4.
300
Suppose -4*g - 4*s = -18220, g = 4*s + 2253 + 2297. Suppose 36*a - g = 13*a. Calculate the least common multiple of 12 and a.
396
Let c(k) = -k**2 + 13*k - 8. Let a be c(7). Let n = a + -28. What is the common denominator of 41/20 and (-2)/n - 1015/(-120)?
40
Suppose 5*z - 7*z + 6 = 0. Suppose -2*c - 106 = -4*y, 3*c - 171 = -340*y + 335*y. What is the lowest common multiple of y and z?
30
Suppose b + 40 = 6*b. What is the lowest common multiple of (-1*6/(-1))/((-1293)/(-3879)) and b?
72
Suppose -y + 2*d = -5342 + 25782, -4*y + d = 81739. Let c = y + 1573445/77. What is the common denominator of 11/6 and c?
462
Let g(j) = 27304*j - 54566. Let i = 5 - 2. What is the least common multiple of g(2) and i?
42
Let y = -148087/396 + 4079/11. Calculate the common denominator of 89/292 and y.
2628
Let l = -168930 + 168965. Let i(o) = 3*o**3 - 2*o**2 - o + 3. What is the lowest common multiple of i(3) and l?
315
Suppose -9*w + 52 = 4*w. Suppose -110 = -w*o - 4*a + 274, -5*o + 489 = 2*a. What is the smallest common multiple of o and 4?
396
Let n be 0 + (-10)/8 + 2/8. Let k be 13 + (-4)/n - 0. Suppose 3*y + 3 = 2*l, 2*y + k = 3*l - 0*l. What is the lowest common multiple of 27 and l?
27
What is the common denominator of -47/40 and 2*(-4 + 6) + 148/(-96)?
120
Let x = -5998 - -17981/3. What is the common denominator of x and -29/299?
897
Let z(j) = -j**3 - j**2 + 6*j + 5. Let q be z(-3). Let g be (54/q)/(2 - (-24)/(-15)). What is the least common multiple of (-6 + 0)/((g/12)/(-3)) and 5?
40
Let c(d) = 1003125*d + 5. Let h be c(4). Let a = h + -56204987/14. Let w = 2139 + a. What is the common denominator of w and 139/12?
84
Let o be ((-68)/24 - -3) + (-3)/18. Let h = -15 + 30. What is the least common multiple of (o + 12/(-10))/((-254)/635) and h?
15
Let z(g) = 14*g - 226. Let w be z(15). Find the common denominator of -33/5 and (-419)/(-110) + w/(144/45).
110
What is the common denominator of (-259)/(-150) - (6/4 + (-2)/(-4)) and -67/285?
2850
Let j = -3131 - -3151. Suppose 0*m = -c + 4*m - 10, 5*m = -2*c + 45. What is the smallest common multiple of c and j?
20
Suppose 2*w + 690 = 2*p, 4*p - 3*w - 2189 = -805. Let l = p - 319. What is the least common multiple of l and 6?
30
Let u be 2 + 1 - (-1080)/(3 + 15). Let q = u + -18. What is the least common multiple of q and 5?
45
Suppose -5*u = 2*u + 2*u. Suppose u = -3*j - 6. What is the smallest common multiple of 13 and (11*(-1)/3)/(j/6)?
143
Let v be 1189130/(-2048200) + (-12)/20. Let t = v - -20/931. Find the common denominator of t and -23/32.
352
Let o = -3138 + 3159. Calculate the least common multiple of 684 and o.
4788
Suppose 0 = -2*j - 525 + 6995. Let p = -5495/597 + 30942671/9552. Let m = p - j. Find the common denominator of m and 137/18.
144
Let l be 2 + (-2 + -2)/4. Let w = 12329/5775 - 13/175. Find the common denominator of w and -3 - l - 286/(-24).
132
Let q(u) = u**3 + 132*u**2 + 258*u - 1. Calculate the least common multiple of q(-2) and 876.
876
Suppose 25*j - 22*j + 15 = 0. Let l be (1 - 0) + (-3 - -1 - j). Suppose 2*k + 7 = -o, -l*o + 3*k = -27 - 0. Calculate the least common multiple of o and 6.
6
Suppose 23*b - 16*b = 1605 + 201. Calculate the least common multiple of b and 51.
4386
Suppose -c = f - 174, 0*c = -2*c + 4*f + 324. Calculate the common denominator of ((-7)/294 + 0)*c and -149/138.
966
Let a(t) = t**3 - 17*t**2 - 17*t - 9. Let q be a(18). What is the common denominator of -53/55 and (81/(-40) - -2)/(q/297)?
440
Let l = 208832/27 - 7733. Find the common denominator of 62/603 and l.
1809
What is the lowest common multiple of 1050 and (201/(-12) + -2)*960/(-400)?
3150
Let w = -202663844306635009/5793480 + 839552784097/24. Let v = w + 2/80465. What is the common denominator of v and -17/12?
36
Let n = 8171/1320 - 51/220. Find the common denominator of 37/264 and n.
264
Suppose 1997 = 8*x + 221. What is the lowest common multiple of x and 40?
4440
Let r = -153529/18 + 8526. Let g = 335197/2694 + -850086029/6562584. Let m = g - -1/1624. What is the common denominator of r and m?
18
Suppose 5*a - 182 - 406 = 2*p, -5*p + 359 = 3*a. Let z = -106 + a. What is the lowest common multiple of 10 and z?
60
Let r be (-3)/(0 + 3/1205). Let f = -9667/8 - r. Let p = 2617/4 - 629. Find the common denominator of f and p.
8
Let h = -1585350 + 143835253/91. Let m = h - -37592739/3094. Let o = m - 7408. Calculate the common denominator of o and 9/8.
136
Let y = 9 + -15. Suppose 0 = -4*n + 2 + 10. Calculate the lowest common multiple of y/10 + 132/20 and n.
6
Let s be (4676/8 - -5)*(-6 - 0). Let z be (2/110)/(21/s). Let u = z - 1/231. What is the common denominator of -50/7 and u?
105
Let u be 4/42*7 + (-5936)/30. Let s = 8293/40 + u. Calculate the common denominator of -59/49 and s.
392
Find the common denominator of 123/110 and (-5643)/198*(-2)/(-6570).
24090
What is the common denominator of 97/198 and 15/45*(-1)/20*105/36?
1584
Let w = 2/10469 - -209314/345477. What is the common denominator of (-15)/18*2251801/(-87655) - 21 and w?
3102
Suppose 3*k + b - 699 = 0, 2*k - 466 = -10*b + 6*b. Let y = 255 - k. Calculate the least common multiple of y and 374.
374
Suppose 66*y = 54*y + 41520. Calculate the smallest common multiple of 8 and y.
6920
Let v = 68 - -53. Let f = 233/11 - 809/33. What is the common denominator of f and v/(-297) - 2/(-6)?
27
Let j = -2023/342 + 105/19. Calculate the common denominator of -33 + (-21607)/1312 + 48 and j.
288
What is the common denominator of (-12)/13 + 1 + 583/(-312) and 113/600?
600
Let j = 48 - 26. Let k = 62 + -59. Suppose 3*f = -f - k*d + 147, f - 5*d = 31. What is the least common multiple of f and j?
396
Let z(r) = r**2 - 197*r - 579. Calculate the least common multiple of z(-3) and 261.
1827
Let i = -297528/13 - -282652471/12350. What is the common denominator of 89/30 and i?
2850
Suppose -2*m + 4*i - 3101 = 7789, 2*i = 0. Calculate the common denominator of (-4037)/m + (-12)/20 and 68/9.
99
Let i = -36272 - -36273. Calculate the lowest common multiple of i and 217.
217
Suppose -m - 5*q - 174 = 0, -5*q + 421 = -2*m + 103. What is the common denominator of m/(-320) - 7/(35/(-2)) and -87/28?
560
Let w = 5132 - 5114. Calculate the smallest common multiple of 1143 and w.
2286
Suppose -14*w + 228 = 4*a + 86, -2*w - 126 = -4*a. What is the least common multiple of a and 9616?
19232
Let r = -1524999/152 - -10033. Calculate the common denominator of -145/72 and r.
1368
Suppose 2*p - 24 = 8. Let s = p + -10. Suppose 3342 = 539*z + 1715 - 2685. Calculate the smallest common multiple of s and z.
24
What is the common denominator of 139/330 and ((-4032)/(-140))/16 - (-62)/(-22)?
330
Let c be 2/((-18260)/5738) + (-3)/(-5). Let x = -8775/108647 + c. Calculate the common denominator of x and -1/51.
357
Suppose 0 = -x + 5*x - 2*c - 10, 0 = 4*x - 4*c - 20. Find the common denominator of 312/(-160)*(-14)/3 and (x + (-2)/(-3))*1827/(-196).
70
Let u be (-