86*(10/(-4) - -2). What is the common denominator of (-1)/(1 + c/(-111)) and h?
24
Let o = -22567/3 - -2414819/321. What is the common denominator of o and 19/4?
428
Let z = 4/853 - 24753/3412. What is the common denominator of 95/18 - (-17 + (-6 - -20)) and z?
36
What is the smallest common multiple of (5 - -2) + 75/(-25) and 1214?
2428
What is the least common multiple of 18 and (-13)/((-65)/2270) - (-1 - 1)?
1368
Let j(t) = 8741*t + 11. Let i be j(-6). Let n be i/28912 + 0 + -3. Let g = -2/1807 - n. What is the common denominator of 137/18 and g?
144
Let t = 622396/89978165 + 2/104021. Let u be (-2)/(-9) - (-238826)/62280. Let m = t - u. Calculate the common denominator of m and 23/10.
20
Suppose 4*w + p = -22, -9*w = -5*w + 2*p + 24. Let r(v) = -2*v - 4. What is the lowest common multiple of r(w) and 4?
12
Suppose -68 + 710 = b. Find the common denominator of (b/8)/((-210)/4) and 111/14.
70
Let l(m) = -21*m**2 + 5*m + 2. Let j be l(-11). Let a = 88225/34 + j. Calculate the common denominator of 31/18 and a.
306
Let x = 4193 + -335449/80. Find the common denominator of 19/8 and x.
80
Suppose 5*a - 14*s - 62 = -12*s, 0 = -3*a + s + 37. What is the lowest common multiple of a and 16?
48
What is the least common multiple of 8 and (165/6)/((-33)/(-66))?
440
Let i(x) = -21*x**3 - x**2 - x. Let l be i(-1). Suppose -1 = -5*s - 5*y + 29, -4*y = 3*s - l. What is the least common multiple of s and 21?
21
Suppose 2*w - 3978 = -w. What is the common denominator of 33/14 and w/104*(-2)/11?
154
Let h(x) = x**2 - 19*x + 58. What is the common denominator of h(5) and -27/280?
280
Let m = 100303/30 + -3341. Find the common denominator of m and 91/36.
180
Let t = 34 - 40. Let z(f) = f + 8. Calculate the smallest common multiple of z(t) and 20.
20
What is the common denominator of -19/6 and 8/2 - ((-879)/(-198) - 1)?
66
Suppose 4*x = 4*c - 0*x, 4*c = x - 3. Let w(a) = 3*a**2 - a - 2. Calculate the lowest common multiple of w(3) and c/(-2)*(-84)/(-3).
154
Suppose 2*y - 6 = -8. Find the common denominator of y + -3 + 122/4 and 5 + (-1)/((-98)/(-483)).
14
Let z = -59 + 174. Calculate the common denominator of 2 + -2 + -4*z/(-540) and -35/9.
27
Suppose -7788 = -2*i - 4*j, 6*j = 5*i + 3*j - 19483. Let x = 23465/6 - i. What is the common denominator of 149/18 and x?
18
Suppose -33*o + 41 = -25. Calculate the lowest common multiple of o and 10.
10
Suppose 5*c - 275 = -3*p, 4*p - p - 2*c - 289 = 0. Let i = -43 + p. What is the lowest common multiple of i and 8?
104
Let u = 261/68 - -58/17. Let s = -5472/445 - 3/890. Calculate the common denominator of u and s.
20
Suppose -30 = 3*s - 36. What is the least common multiple of ((-120)/(-27))/s - 4/18 and 2?
2
Calculate the common denominator of 89/362 and (106/(-8))/(4 - (0 + 6)).
1448
Let h(r) = r - 2. Let t be h(2). Let q(k) = -k**2 - 1. Let f be q(t). Let c = 1 - f. Calculate the smallest common multiple of 12 and c.
12
Suppose 9*a = 155 - 20. Suppose 6*y + a = 9*y. What is the smallest common multiple of y and 27?
135
Let l be (-2)/5 - (-14)/35. Let z be -16 - (l + 4) - 1. What is the lowest common multiple of 2 and (-74)/(-14) + 6/z?
10
Let y be 1/(-2) + 18/4. Suppose -y*t + t - 23 = 4*d, -t - 3 = -d. Find the common denominator of ((165/(-4))/t)/(-4) and 93/2.
16
Suppose 0 = -7*w + 77 - 7. Let x(p) = p**3 - 7*p**2 + 3. Suppose 0 = -5*n + 33 + 2. What is the smallest common multiple of w and x(n)?
30
Suppose 4 + 5 = m. Suppose -38 = 2*y - 12. Let p = y - -14. Calculate the smallest common multiple of p and m.
9
Let q = 1099 - 1053. What is the least common multiple of q and 23?
46
Find the common denominator of 380/(-352) - (115/(-30) + 3) and 53/72.
792
Suppose -2*f + 4*b = 16, 0 = 2*f + 3*f + 4*b - 2. Find the common denominator of 23/20 - f/8 and (657/(-2))/9 + -2.
10
Let d = -8 + 10. Let r(j) = -j**3 + 2*j + 1. Let h be r(d). Calculate the common denominator of h/18*(-568)/12 and 89/6.
18
Let x be 1*(4 + (-3 - -2)). Suppose -q - 2*p = -x, -2*q = -0*q - 4*p - 14. Suppose 0 = -q*l + 3*l + 4. What is the lowest common multiple of 11 and l?
22
Let a(d) = -7*d**2 + 12*d - 9. Let z be a(-9). What is the common denominator of (-2489)/z + (-3)/4 and 25/3?
9
Calculate the least common multiple of -69 + 102 + 18/2 and 28.
84
Let t(n) = 7*n**2 + 5*n + 3. Suppose -z + 9 - 8 = 0. Suppose 4*j + 3*w - 12 = -j, w + z = 0. Calculate the lowest common multiple of t(-2) and j.
21
Let k = 16829/7010 - 1/1402. Let s be (-2)/(-4)*-6*(-41)/(-69). Let p = s - 124/253. What is the common denominator of p and k?
55
What is the lowest common multiple of 90 and 5*((-12)/(-5) + -2)?
90
Let i = -32 - -15. Let s = -13 - i. Suppose -25 = -o - s*o. What is the smallest common multiple of o and 4?
20
Suppose -3*d + 240 = 3*q, 3*d - 2*q + 4*q - 244 = 0. Calculate the lowest common multiple of 20 and d.
420
Let o = -100 - -101. Let b(c) = 4*c**2 - 2*c + 1. What is the smallest common multiple of b(o) and 8?
24
Calculate the smallest common multiple of (-58 - (-5 + 3))*-1 and 70.
280
Let b be (-307)/(-252) + (-22)/88. Let q = b - 10/9. Find the common denominator of q and 55/8.
56
Let f = -2/17407 - 1409923/382954. Calculate the common denominator of ((-2)/(-4))/((-28)/106) and f.
308
Calculate the common denominator of -103/20 and (-1)/((-36)/8)*(-19)/4.
180
Let f(n) = -18*n + 194. Calculate the lowest common multiple of f(10) and 64/3 - 4/(-6).
154
Let z = 2505 + -100183/40. Calculate the common denominator of -19/2 and z.
40
Calculate the common denominator of -139/6 and (-39)/156*1/(15/(-26)).
30
What is the least common multiple of 978*(77/14 + -5) and 3?
489
Let u = -193445/48 + 4029. What is the common denominator of -145/6 and u?
48
Suppose -4*l + 2*l = -w - 2, 0 = -3*l + 5*w - 4. What is the smallest common multiple of 33 and (-2*l)/(-4 - 30/(-9))?
66
Let h = 2 + -6. Let n be ((-1194)/h)/(-10 - 5). Let t = 13/5 - n. Calculate the common denominator of 46/5 and t.
10
Let a = 87 - 84. What is the smallest common multiple of -3 - a/((-3)/(-30)*-2) and 10?
60
Let a = -119 + 287. Calculate the least common multiple of a and 49.
1176
Suppose 2*o - 7*u = -4*u + 76, o - 2*u - 38 = 0. What is the least common multiple of o and 152?
152
Let s be 2/2 + 0 - (1 - 0). Suppose s = -2*r - 2*r + 104. What is the lowest common multiple of r and 4?
52
Let h = -257 - -302. What is the least common multiple of h and 5?
45
Suppose 0 = g - 126 + 16. Find the common denominator of (-2)/(-33)*402/(-8) and (6/10)/(4/g) - 0.
22
Let q = -239177/40 - -5978. What is the common denominator of -107/20 and q?
40
Suppose -5*x = 4*g + 1 + 3, 3*x - 3*g = 3. Let h be 9 - (x/(-2) + 4). Suppose 4 = h*m - 11. What is the lowest common multiple of m and 1?
3
What is the common denominator of (-1458)/(-232) - 7 - (0 + 0) and 91/2?
116
What is the common denominator of 1 + 15/(-30)*(-130)/9 and 202/(-80) - 2/(-2)?
360
Let g = 3/3713090 - 156102016723/40843990. Let f(r) = 154*r**2 - 6*r - 2. Let c be f(5). Let z = g + c. What is the common denominator of 23/11 and z?
11
Let d = -32969/40456 + 29/389. Find the common denominator of d and -1/39.
312
Suppose 0 = w - 12 - 3. What is the common denominator of -4 - 1/(w/(-102)) and -91/12?
60
Let x = -5321/6 - -881. What is the common denominator of (6/(-99))/(4/(-309)) and x?
66
Let o be 489/21 + (-6)/21. Suppose 3*s + 3*i - o - 13 = 0, 4*s = -2*i + 48. Calculate the smallest common multiple of 120 and s.
120
Let z = 926/11 - 7023/88. What is the common denominator of ((-15)/50)/(9/(-219)) and z?
40
Let z be 32071/(-35) + (-28)/70. Let y = 914 + z. Calculate the common denominator of 27/11 and y.
77
Let f be 7/((-6)/(-10) + 88/(-55)). What is the common denominator of (2/6)/((-2570)/375 - f) and -71/2?
22
Suppose 2*i = -p - 4, -4*i + 0*i + 4 = 5*p. Suppose 3*t - 9 = 0, o - 2*t - 18 = -2*o. Calculate the lowest common multiple of p and o.
8
Let y = -591875/42 + 14093. Find the common denominator of -17/266 and y.
798
Let y = 34066184417912541 + -156193454172700070271/4585. Let g = y + -301729317. Let b = -3/655 - g. Find the common denominator of b and 33/13.
91
Let l = 17 + 5. What is the smallest common multiple of 20 and 224/l - (-10)/(-55)?
20
Let l = 99/17812 + 2517427/935130. Let h = 1/60 + l. What is the common denominator of 