389. Calculate the common denominator of q and ((-1)/(84/(-26)))/(-4).
168
Let o(z) = -2*z**2 - 11*z - 30. Let j(t) = -t**2 + t - 1. Let r(y) = j(y) - o(y). Let n be 2/3 + (-50)/3. Calculate the least common multiple of r(n) and 2.
186
Let m(d) = -2*d**3 + d**2 + 26*d - 4. Let c(i) = i + 5. Let x be c(0). Let h be m(x). Let y = -87 - h. What is the least common multiple of y and 18?
36
Let l(t) = 24*t**2 + 6*t - 16. Let y be l(-9). Let h = 1226 - y. Let w = h - -15505/24. What is the common denominator of w and 101/12?
24
Let v(f) = 301*f - 8392. What is the least common multiple of 1480 and v(28)?
13320
Let k(d) = d**2 + d. Let z = -254 - -110. What is the smallest common multiple of 30/(-4)*z/180 and k(1)?
6
Let r(u) = -2*u**2 + 28*u + 70. Let v = -7 - -12. Suppose x - 14 = -3*t, x - v*t - 11 = 3. What is the least common multiple of x and r(16)?
42
What is the common denominator of ((1533/468 - 1) + (-6)/(-8))/((-16)/(-12)) and 83/78 + (-2)/4?
78
Let a be 87/(-1624)*(-4)/(-55)*1. Let r = 14439/385 + a. Let g = 2129/310 + -338/93. Calculate the common denominator of r and g.
30
Let p(v) = -2*v**2 + 3*v + 4. Let w be p(0). Suppose -w*f + u = -499, -3*u - 77 - 56 = -f. What is the smallest common multiple of f and 8?
248
Suppose -2*n = -2*k + 22, -4*k - 3*n + 10 = -13. Suppose -k*s = -157 - 35. Calculate the least common multiple of -2*5/(-5)*12 and s.
24
Let x(b) = -b**3 - 12*b**2 + 7*b - 9. Let c be x(-14). Let r = c - 253. What is the least common multiple of r and 16?
32
Let r = -136795541/404 + 338603. What is the common denominator of 111/14 and r?
2828
Suppose 15 = -8*a + 3*a, -5*w + 4*a = -102. Let l(x) = -80*x - 26 - 1 + 92*x. Calculate the lowest common multiple of w and l(4).
126
Let y = -25236149/10 - -2516826. Let b = y + 6796. What is the common denominator of b and 11/75?
150
Let r = -10/1713 - 142099/13704. Calculate the common denominator of r and -3 + -1 + (-57)/(-36).
24
Suppose -3*g - 128 = -5*k, -g + 278 = 5*k + 174. Calculate the least common multiple of 512 and k.
5632
Suppose 11*i + 3*i - 4*i - 6540 = 0. Calculate the smallest common multiple of 763 and i.
4578
Suppose 56 = 5*c + 31, -y - 5*c + 25 = 0. Suppose y = -40*h + 11*h + 1914. Calculate the least common multiple of 222 and h.
2442
Calculate the lowest common multiple of 10370/9 + (-12)/(-9)*(-23)/138 and 576.
1152
Let c = -71 - -238. Suppose -c = -9*n + 265. What is the smallest common multiple of 20 and n?
240
Let d = -3110 + 3318. Calculate the least common multiple of d and 2.
208
Suppose 0 = -2*n + 4*t - 4, -2*n - 7 = 4*t - 19. What is the lowest common multiple of n and 8312?
8312
Let k(t) = 9*t**3 + t**2 - t + 3. Let d be k(-2). Calculate the common denominator of 499/(-42) - (-3)/d*6 and ((-30)/4)/5 + (-73)/(-78).
78
Let k(m) = -m + 4. Let q be k(7). Calculate the common denominator of q - (-3315)/370 - 5 and 41/5.
370
Suppose 4*m + 2*y = -30, 2*m - 3 = 5*y - 12. Find the common denominator of 68/3*m/(-28) and 13/11.
33
Suppose 0*x - 3*x = 15. Let g(a) = 97*a + 581. What is the common denominator of ((-83)/60)/((-2)/x) and g(-6)?
24
Calculate the common denominator of 17/715 and (7416/(-360))/(2574/15).
4290
Suppose 8*y + 17*y = 20*y + 7830. Calculate the smallest common multiple of 144 and y.
12528
What is the common denominator of ((-4)/(-310))/(96/690) and ((-108)/48)/(-3 - 14/(-6))?
248
Let c = 928967/26655864 + 81/14059. Calculate the common denominator of c and -7/2133.
17064
Let o = -280 + -32. Suppose -96*g - 264 = -104*g. What is the least common multiple of g and 1*3 + o/(-13)?
297
Find the common denominator of (-4359)/(-6072)*-4 - -3 and -4/1771.
3542
Let f be (-9)/6*1*(-120)/18. Suppose 0 = -4*r - 6*r + f. Suppose 0*h + 46 = 2*h. What is the smallest common multiple of h and r?
23
What is the lowest common multiple of (8/10)/((-2)/(-20)) and (-202)/(-10) + 750/(-3750)?
40
Find the common denominator of ((-8)/(-756))/((-2)/60) and 23608/(-1820) - (-11 - 2).
315
Let m = -207/5 - -42. What is the common denominator of m and 139/2760?
2760
Find the common denominator of 9/3*(-5)/(-135)*705/(-5) and -77/752.
2256
Let u(y) = -y**3 - 7*y**2 - 6*y + 16. Calculate the lowest common multiple of ((-940)/658)/((-3)/42) and u(-6).
80
Let g = 113 + 24. What is the smallest common multiple of (-30)/(-3) + (36/(-17) - 932/(-7922)) and g?
1096
Calculate the common denominator of 125/396 and (56/(-352))/(1485/600).
4356
Suppose 13176 = 1735*s - 637*s. Let x = -6 - -10. Calculate the smallest common multiple of x and s.
12
Suppose -6 = -6*w + 18. Suppose 0 = -3*u - 3*d + 450, 369 = w*u - 3*d - 224. Suppose -4*n + u - 37 = 0. What is the lowest common multiple of 16 and n?
112
Let l = -14079812/7953 + 733/723. Let j = l - -1768. What is the common denominator of j and -31/8?
88
Let a = -25 - -27. Suppose a*t - 13 = -37. What is the common denominator of 83/(-30) - 8/t and 1/22?
110
Let h be (6/(-8))/(37878462/36). Let y = -105247761748/6313077 + h. Let m = 16666 + y. What is the common denominator of 91/4 and m?
36
Suppose 0 = 4*x + 5*t - 7864, -4*x - 7*t + 7936 = -11*t. Calculate the lowest common multiple of 494 and x.
1976
Let s = 435 + -387. Let z(o) = -2*o**2 + 6*o + 3. Let m be z(5). Let h = 23 + m. Calculate the least common multiple of s and h.
48
Let i(y) = y**3 + 18*y**2 - 8*y - 24. Calculate the lowest common multiple of i(-16) and 56.
616
Let x = 305/303 + -21811/14544. Find the common denominator of 5/1278 and x.
10224
Let n be 12/20 - (93010/(-275) - -5). Let p = 294453/880 - n. Calculate the common denominator of 81/80 and p.
80
Let b(j) = -3*j**3 - 26*j**2 - 5*j - 13. Let f be b(-9). What is the common denominator of 45/52 and f/(-6) + -9 + (15 - 4)?
156
What is the smallest common multiple of 330 and (21/(-98))/(135/(-13230))?
2310
Let q(y) be the third derivative of 2*y**4 - 43*y**3/3 - 6*y**2 + 2*y. What is the least common multiple of q(6) and 2?
202
Suppose -3*p = -3*b - 3, 0 = 4*p - 3*b - 0 - 6. Let m = 1041/244 - 1/61. Find the common denominator of (p/(-36))/(2 - (-668)/(-328)) and m.
36
Let t(v) = -3*v**3 + 16*v**2 + 51*v + 8. What is the least common multiple of 72 and t(7)?
360
Let r(a) = 21 - 5*a**3 + 13*a**3 - 8*a**3 + 15*a - a**3 + 15*a**2. Suppose 0 = -2*i + 5*z - 1, 1 = z - 2. What is the smallest common multiple of r(16) and i?
35
Find the common denominator of (-2)/(-25) - (-80)/(-3375)*64/6 and 65/18.
162
Let n(o) = 344*o + 1496. What is the smallest common multiple of 600 and n(-4)?
600
Let z = 407 - 14. Let u = z - 331. What is the least common multiple of 11 and u?
682
Let s = -4762 - -23816/5. What is the common denominator of (-46)/20 - (-1 - 0) and s?
10
Suppose 4*s + 5*t - 75 = 0, -3 = -82*t + 81*t. What is the least common multiple of s and 597?
2985
Let q be (-828)/30*(-2 + (-16)/12). Let x = q - 85. Suppose 40 = u + 4*u. Calculate the least common multiple of u and x.
56
Let y = 40/67 - 3202/201. Find the common denominator of y and 27/482.
1446
Find the common denominator of -21/200 and (12/(-4000))/(12*(-3)/516).
1000
Suppose 0 = 5*x - 2*u - 4, 5*x + 5 = 6*x + u. What is the least common multiple of 267 and x?
534
Find the common denominator of 101/24 and (-2 - (-170)/60)/(5/103).
24
Suppose -4*s = 2*s + 264. Let w = 37 + s. Let z = 31 + w. Calculate the lowest common multiple of z and 8.
24
Let z = -8607 - -8623. Let t(c) = -c**3 + 9*c**2 - 9*c + 10. Calculate the smallest common multiple of z and t(8).
16
Let s(g) = g + 57. Let o be s(-15). Let m = -6 - -9. What is the least common multiple of m and (o/(-35))/((-9)/30) - -4?
24
Suppose -49*m + 52*m - 33 = 0. Let q be (-914)/6*(m - 41). Let t = q - 27283/6. What is the common denominator of 65/6 and t?
6
Suppose 65*w - 55*w = 2220. Calculate the common denominator of -17/24 and 5/(15/w)*21/567.
216
Let m(i) = 34*i**3 + 340*i**2 - 9*i - 5. Calculate the lowest common multiple of 150 and m(-10).
2550
Let f be (-37)/((-183)/30 - -6). Let p = 372 - f. Calculate the lowest common multiple of 539 and p.
1078
What is the smallest common multiple of (-17)/((-68)/(-6)) + 2083/2 and 1040?
1040
Calculate the common denominator of (42/(-24) - -2)/((-25)/(12125/540)) and -1/297.
4752
Let w be (1 - 2)/((-2)/8) + 4. Suppose 2*k - w*k = -3*k. Suppose 2*b - 4 = -k*b. What is t