et w = 18/821 - -58111/8210. Let j = -9/955 - 65877/1910. Find the common denominator of j and w.
10
Let x be (29/29)/(2/(-18)). What is the common denominator of -35/8 and (-1 - x/10)/(560/6104)?
200
Suppose 0 = 5*k + 25, -2*w + 2*k = -59 - 17. Suppose -78 = 3*f + 2*i, -3*f + 3*i = -4*f - w. Find the common denominator of 85/f + 8/12 and 123/10.
40
Let x = -13 + 19. Calculate the lowest common multiple of x and (3/(-12) + 310/(-744))*-3.
6
Let k(x) = -x**3 + 19*x**2 + x + 31. What is the smallest common multiple of 1435 and k(19)?
14350
Find the common denominator of 2/45 and (-132125)/(-197500) - (-3)/(-4).
3555
Suppose t + 0*t + 45 = 4*d, 2*t - 30 = -2*d. What is the lowest common multiple of d and ((-44 + 1)*-1)/(391/782)?
516
Let v = -14 + 59. Let t = v - 48. What is the common denominator of -62*t/10*6/(-54) and 89/10?
30
Let g = -2300 + 27635/12. What is the common denominator of 2/369 and g?
1476
Let v(z) = -848*z**3 + z**2 - 3*z - 2. Let x be v(2). Let o be (-12)/x*(-142586)/228. Let d = -1/3394 - o. What is the common denominator of d and -47/4?
76
Let b = -82527861/476 + 173378. Find the common denominator of -54/119 and b.
476
Let l = 7183 + -755. Let w = 3156151/491 - l. Let a = -20637/2455 + w. Calculate the common denominator of -3/7 and a.
35
Let y = -17317 + 86552/5. Calculate the common denominator of 166/(-120)*12/9 and y.
45
Let c = 2905/26 + -341581/3068. Find the common denominator of c and 61/58.
6844
Let b be ((-24)/16)/(2/28). Let l = b - -32. Let h(a) = a**3 + 2*a**2 - 2*a - 3. What is the lowest common multiple of h(-2) and l?
11
Let d = 54/869 + -97971/24332. Let z = 23118 - 1479499/64. Find the common denominator of d and z.
448
Let a(p) = 5 - 3*p - 3*p + 3*p. Calculate the common denominator of a(-7) and (2/66)/(1041/767217).
3
Find the common denominator of 600/9300 + 822/(-248) and -16/11605.
46420
Calculate the lowest common multiple of 77/(-110)*-234 - 1/(-5) and 5.
820
Calculate the common denominator of -139/48 and (-1)/(-4) + ((-30)/(-176))/((-18)/29).
528
Let d = 165717/1686160 + -1/15055. What is the common denominator of 33/112 and d?
112
Let d = -122985 + 290871. Let z be (-8)/(-14) - d/(-37856). Let l = z - 75/169. Find the common denominator of l and -59/4.
16
Let n(z) = 717*z - 266. Let j be n(6). Suppose 27*x - j = -1282. Calculate the smallest common multiple of 4 and x.
204
Let f(k) = k**2 - 72*k + 730. What is the least common multiple of 86 and f(10)?
4730
Find the common denominator of 1*(-2)/60*-29 and (-2 - -1)/((-5)/35) + (-522)/84.
210
Suppose -3*y = -p + 239, -5*p - 10*y + 1223 = -11*y. Calculate the least common multiple of 196 and p.
980
Let v(r) = 3*r**2 - 78*r - 291. Calculate the smallest common multiple of 49 and v(34).
3675
Let s = -2701877/50 - -54040. Calculate the common denominator of 129/2170 and s.
10850
Let c(d) = 26*d**2 + 36*d - 687. Let x be -3 + 181 - (-1 + -1). What is the common denominator of c(-6) and 2 + (1 - x/34)?
17
Let n = 65 + 1. Suppose -2*u = -a - 6, 2*u = -u - a + 14. Suppose s - u = -s. Calculate the least common multiple of s and n.
66
Let s be 6 + ((-192)/(-36))/((-2)/3). Let i = 12 + 48. Calculate the common denominator of (8/s)/(-2) + 117/i and 55/16.
80
Suppose 7*p + 870 = 2*p. Let x = 90 + p. Let o = -72 - x. What is the smallest common multiple of o and 32?
96
Let r(c) = -14*c - 122. What is the lowest common multiple of 6 and r(-110)?
4254
Let u be (208/(-12) - 6)*-3. What is the smallest common multiple of u/8 + 2/(10 - 2) and 10?
90
Suppose 3*r - 4*d - 39 = 17, -d - 20 = -r. Calculate the lowest common multiple of r and -3 - (0/24 + -3*34).
792
Calculate the common denominator of (325/(-240) + 2/3)*(-408)/9078 and 101/16.
1424
Suppose 48 = 4*m - 2*i, -3*i + 5*i + 39 = 3*m. What is the least common multiple of m and 63?
63
Let b be (22259/6)/(((-360)/32)/(-15)). Let w = b - 4941. Find the common denominator of -9/178 and w.
1602
Let h = -15 - -25. Suppose -2*t - k + 57 = 19, -6 = 3*k. What is the least common multiple of t and h?
20
Let k = -5 - -9/2. Let p = -30192/3230467 + -8/4493. Let f = -91217/8628 + p. Find the common denominator of f and k.
12
Let y = 34 + 14. Suppose 40*i + 13 = 41*i. Suppose 5*x + 144 = i*x. What is the lowest common multiple of x and y?
144
Suppose 3*h - 1192 = -h. Let r = -733197/52 + 14102. Find the common denominator of r and (-2)/(-6)*h/12.
468
Suppose 4*f - 18 = f. What is the common denominator of ((-158)/(-12))/(2/f) and ((-6)/27)/(641/129 - 5)?
6
Let z be 3 + (22 - 21)/(2/6). What is the smallest common multiple of 24 and 36/(-15)*(-2 + (-63)/z)?
120
Let v(x) = -6*x - 36. Let s be v(-7). Suppose -5*r + u = 5*u + 6, 0 = r - u - s. Calculate the least common multiple of 42 and r.
42
Let h = -199548847/630 + 316744. What is the common denominator of -89/3570 and h?
10710
Let v = 2117 + -1922. Suppose 0 = 5*u - 21 - 39. What is the lowest common multiple of v and u?
780
Let d = 5191/336 + -181/14. Find the common denominator of d and 91/184.
1104
Let x(d) = 3*d**2 - 13*d + 32. Let m be -6*((-8)/12 + 1/3). Calculate the lowest common multiple of 168 and x(m).
504
Suppose -6 = -16*l + 13*l. Let g = 49 + l. What is the lowest common multiple of 21 and g?
357
Suppose 6*g - 25*g - 152 = 0. What is the least common multiple of 14 and (-218)/g + 87/116?
28
Let h = -2218 - -26585/12. Let g be ((-504)/(-101520))/((-12)/4610). Let d = -151/47 - g. What is the common denominator of d and h?
36
Suppose 3*p - 3 - 9 = 0. Suppose -3*g - 40 + 13 = -d, 0 = g + 4*d - p. Let z(f) = -5*f - 14. Calculate the least common multiple of z(g) and 14.
182
Find the common denominator of 26*((-71)/(-72) - 1) and ((-5)/36)/((-9600)/2160).
288
Let a be ((-16)/2 + 10)/(2/74). Let i = a + -71. What is the lowest common multiple of i and ((-6)/(-4))/(3/8)?
12
Find the common denominator of -43/432 and (-9)/15*(-14456)/44928.
2160
Let r be 5/2*24/((-6)/(-2)). Calculate the least common multiple of 10/r + 3/2 and (-48)/(5 + -11) + (2 - 0).
10
Let u = -1175/19 - -37654/627. Calculate the common denominator of 38/33 and u.
33
Let s be 5 - 3205/30 - (-2)/(-12). Find the common denominator of (17/20)/(-2 + s/(-24)) and 58/45.
45
Calculate the lowest common multiple of 4 and ((-8 + 10 - 12) + 74)*14.
896
Let y = 2398402/133 - 18033. Let b(u) = 11*u**3 - 5*u**2 - u - 4. Let l be b(-4). What is the common denominator of y and l/(-154) + (-1 - -1)?
1463
Let i be 3/(-12) + (-36)/(-16). Calculate the common denominator of -41/7 and i - (-4 + 87/(-54)).
126
Suppose -96 = -12*u - 48. Suppose -u*h + 5*t = -76, -2*t - 60 = -4*h - t. What is the lowest common multiple of 38 and h?
266
Let c(a) = 56*a**3 + 4*a**2 - 19*a + 79. Let j be c(-11). Let h = j - -10843349/147. Find the common denominator of h and 6.
147
Let b be 0 - (1 + 1)*1. Calculate the least common multiple of 12 and b/((96/162)/(-8)).
108
Suppose -3*i + 45 = 2*h, 3*h - 2*i - 1 = 47. Calculate the common denominator of ((-12)/h)/((-6)/(-14)) and -46/3.
9
Let p = 5917/1122 - 58/51. Calculate the common denominator of 15/602 and p.
6622
Suppose -5*u + 7317 = -3*p, -2*u + 0*p + 2930 = -2*p. Suppose -28*z + u = 285. Calculate the smallest common multiple of z and 6.
42
Let n = 142753058/1053 - 135568. Calculate the common denominator of 1/144 and n.
16848
Suppose -2*x = -7*x, -5*l + 1100 = 3*x. Let i = l - 195. Calculate the lowest common multiple of i and 30.
150
Let l(k) = k**2 - 10*k. Let b be l(11). Let h = b - 8. What is the common denominator of 37/22 and h + (-8)/2 + 166/48?
264
Let g = -154705/36 + 4297. Find the common denominator of g and 7/396.
396
Let k = 85852 + -11847509/138. Calculate the common denominator of k and 5/78.
1794
Let s(y) = 90*y + 5152. Suppose -4*p + 15 = -p. Calculate the least common multiple of p and s(-57).
110
Let d be (3 - -3)*-8*6/(-96). Suppose -u + 58 = 5*f + 11, 211 = d*u + f. What is the lowest common multiple of u and 3?
72
Let j = -39631148771 + 1790416407927332/45177. Let k = -6/1369 - j. Calculate the common denominator of k and 89/36.
396
Let v = 504 + 371. Let l = -730 + v. What is the least common multiple of 45 and l?
1305
Let p = -2 - -2. Suppose 5*i - 56 - 79 = p. Let z = i + 7. Calculate the smallest common multiple of 2 and z.
34
Let h = 25 - 42. Let z