c and -111/40.
240
Calculate the common denominator of 219/9 - (5 + -7)/6 and 17/15.
15
Let i = 346/7119 - 88/113. What is the common denominator of -87/70 and i?
630
Let g(f) = -f**3 + 12*f**2 - 11*f + 21. What is the lowest common multiple of g(9) and 55?
165
Suppose 4*y = -3*b + 17 + 17, 0 = -2*y + 2*b + 10. Calculate the smallest common multiple of 141 and y.
987
What is the lowest common multiple of -4 + 2 + (5 - -1) and 10?
20
Suppose 2*i = 2*h + 678, i = -4*i + h + 1707. What is the least common multiple of 18 and ((-2)/(48/i))/((-1)/8)?
342
What is the common denominator of -35/18 and ((-110)/(-9))/(-2) - (-44)/(-198)?
18
Let d = 22795/8028 - -265/223. Let t = -6729/4 + 1694. Calculate the common denominator of t and d.
36
Let t = -6059/32 + 189. Find the common denominator of t and 91/8.
32
Let u = 236 - 232. What is the lowest common multiple of 2 and u?
4
Let m = 10069477/84 + -119873. Find the common denominator of 179/120 and m.
840
Let a = -24 - -29. Suppose 2*v - 4*z = 6*v - 4, -5*z - 55 = -a*v. What is the least common multiple of v and 8?
24
Let d = -11/25 - -28/75. Calculate the common denominator of d and 92/15.
15
What is the common denominator of (-242)/100*(49/14 + -6) and ((-52)/84)/(2/(-27))?
140
Let t = -225/37 - 1789/296. Calculate the common denominator of -101/54 and t.
216
What is the common denominator of (-311)/384 - (-45)/135 and 73/32?
128
Suppose 18*b - 19*b - 94 = 0. Let t = b + 106. What is the least common multiple of t and 2?
12
Find the common denominator of -167/30 and (-2)/3 - (-6)/((-2160)/(-1131)).
120
Calculate the common denominator of (5 - 165/(-290)) + -6 and -99/20.
580
Let g = 2 + 170. What is the smallest common multiple of 12 and g?
516
Let p = -6216/437 + -62384703/4370. Let x = p - -14302. Calculate the common denominator of x and 145/18.
90
Let i be (-43072)/(-60) - (-2)/15. Let f be (28674/(-40) - 0) + -1. Let y = i + f. Find the common denominator of 53/20 and y.
20
Let a be ((-3)/273)/((-7)/12). Let q = -54/28407037 + -2625861072781/108571695414. Let x = q + a. What is the common denominator of x and -70/3?
6
Find the common denominator of (5/(-285))/(33/1815) and 79/126.
2394
Let h = -1/1283 + -139837/12830. What is the common denominator of h and 808/(-128) + 10 - 3?
80
Suppose -4*q - q - 130 = 2*d, 0 = 2*q + 4*d + 36. Let t be (4/(-1629))/((-2)/(-3)). Let p = 2906/2715 + t. Find the common denominator of q and p.
15
What is the common denominator of 47/42 and (416/56 + 1)*14/12?
42
Suppose 5*x - 4*x - 4*z + 6 = 0, -3*x - 4 = 2*z. Let u = -14917/1084 + 3/271. What is the common denominator of u and x?
4
Let c = -164 + 448. Find the common denominator of -101/2 and ((-12)/3)/(-4) - c/(-56).
14
Suppose -10608 = 24*q - 76*q. What is the least common multiple of 33 and q?
2244
Let p = -1/283 + 26907/6226. What is the common denominator of p and 5/66?
66
Suppose a = -a - 2. Let q be 115 - (-4 + (a - -6)). What is the common denominator of -93/2 and (4/16)/(1/q)?
2
Suppose 4 = 15*h - 13*h. Find the common denominator of -95/6 and (-28)/14 - h/28*29.
42
Find the common denominator of (-245)/1890*(-348)/(-105) and 67/60.
540
Let z = -4466/9 + 496. What is the common denominator of z and -69/58?
522
Let i = 165/17 - 1677/136. What is the common denominator of i and 59/14?
56
Let j(u) = u**3 + 9*u**2 - 4*u - 7. What is the least common multiple of j(-6) and 125?
125
Let y(d) = -2*d - 3. Suppose 3 = 20*r - 37. Calculate the smallest common multiple of r and y(-4).
10
Suppose -2*f - 2*o = -o - 46, 0 = -2*f + 5*o + 34. What is the lowest common multiple of f and ((-4)/6 - 3)*-6?
22
Suppose -212 = -3*p + 2*u - 25, -5*p - 4*u + 319 = 0. What is the lowest common multiple of 27 and p?
189
Let v = 7/1194 + 19561/23880. Find the common denominator of v and -107/24.
120
Suppose 0 = -2*z + 3*p + 259, -27*p + 24*p = -5*z + 634. What is the least common multiple of 20 and z?
500
Let b(d) = -d - 16 - d - 9*d + 5*d**2 - 6*d**2. Let q be b(-6). Calculate the common denominator of 53/14 and 8/(-16) - 76/q.
14
Let w = 23 + -36. Let l be (-1)/10*38*-5. Let t = l + w. Calculate the smallest common multiple of 2 and t.
6
Suppose 8*o - 12 = 12. Let k(f) = -f**3 + 2*f + 3. Let l be k(-3). Suppose -o*u + 2*u + x = 0, -5*x + l = 3*u. Calculate the least common multiple of u and 5.
15
Let p be (-749100)/187 + (-4)/34. Let j = p + 23935/6. Calculate the common denominator of 35 and j.
6
Let x = -24 + 20. Let z be ((-348)/(-24))/((-2)/x). Suppose z = k + 5. What is the least common multiple of k and 18?
72
Suppose 6*d - 261 = 195. Calculate the lowest common multiple of 4 and d.
76
Let i = -15/653 - -25001/36568. Let c = 735289/30426 - -1/5071. What is the common denominator of c and i?
168
Let b(p) = p**2 - 8*p + 9. Let i be 0 + (-1)/(1/(-8)). Suppose 35 = 5*d + 4*f - 2*f, -2*d + 14 = 4*f. Calculate the lowest common multiple of b(i) and d.
63
Calculate the common denominator of -23/20 and 85/132 - (-13 + 20 + -7).
660
Let u(l) = 4*l**3 + 2*l**2 - l + 1. Let v be u(-2). Calculate the common denominator of (-1 + v)*(-28)/(-32) and -3 - (-2)/(-2) - (-2001)/368.
16
Suppose 2*x - o = -1, 4*o - 8*o + 22 = x. Let m(f) = -2*f + 24. Let y be m(17). Let g = -8 - y. Calculate the least common multiple of x and g.
2
What is the least common multiple of (14*-13)/(-2)*23/23 and 56?
728
Let f(n) = -n**2 - 18*n - 34. Let y(m) = 2*m - 24. Let p be y(5). Calculate the lowest common multiple of 110 and f(p).
110
Let l be (-42)/(-28) + (-102)/40. Let z = 977/60 - l. What is the common denominator of z and 44/17?
51
Suppose -2 = -m + 6. Let i = 9 - m. What is the common denominator of 1 + -14 - 2/i and -17/8?
8
Suppose 6981 = 82*c + 97*c. Let d(i) = 13*i - 1. What is the lowest common multiple of d(1) and c?
156
What is the lowest common multiple of 28 - 14 - (0 + -1) and 3/(-6) - 79/(-2)?
195
Let h = 8405 - -5264. Let w = -136807/10 + h. What is the common denominator of w and -29/8?
40
Let o be (-9)/(-5) - 3/(-15). Suppose 2 = o*i + 6. What is the common denominator of 11/2 and i/(-4)*(-21)/8?
16
Let m = -957 - -1077. What is the least common multiple of 3 and m?
120
Suppose -7*u + 5*u = 3*k - 27, 69 = 3*u - 5*k. Suppose -2*o + 3 + 43 = 2*c, 0 = -5*c + 4*o + 88. Calculate the smallest common multiple of c and u.
180
Let q = 33188/11637 + -16/431. What is the common denominator of -127/288 and q?
864
What is the common denominator of -113/12 and 73/(-5 + 2 + 19) + 0?
48
Find the common denominator of -6 - (6 - 1661/110) and -81/50.
50
Let h be -9*(81/(-2022))/9. Let i = -14808/3707 + h. What is the common denominator of (142/(-8))/((-2)/(-4)) and i?
22
What is the lowest common multiple of 266 and 921/12 - (203/(-28) + 7)?
2926
Suppose 2*p - 95 = 157. Calculate the smallest common multiple of 234 and p.
1638
Let k(y) = 2*y - 5. Let a be (-56)/(-42) - 2/(-3). Suppose u - 10 = m, u - 2*u = -a*m - 11. Calculate the smallest common multiple of k(5) and u.
45
Suppose 5*s - 3*p = 4*s + 114, 3*s + p - 322 = 0. Calculate the least common multiple of 84 and s.
756
Let g = 14 + -10. Let y = -2671/2 + 1315. What is the common denominator of y and (3/(-4))/(g/(-248))?
2
Suppose -2*z - 12 = z. Let m(b) = -5*b**2 + 11*b + 12. Let v(t) = -t**2 + t + 1. Let h(d) = m(d) - 6*v(d). What is the smallest common multiple of h(z) and 11?
22
Let z = 123 + -92. What is the common denominator of 145/36 and -3 - (z*3/(-54) + 4)?
36
Let w be 42/((-3003)/(-498) - 6). Suppose 5*l = 3*l, 0 = 3*x + 4*l - 4197. Let g = x - w. Find the common denominator of g and -28.
5
Let d(w) = 50*w**2 + w - 1. Let s(u) = 544*u + 3810. Calculate the lowest common multiple of d(1) and s(-7).
50
Calculate the lowest common multiple of 273 and (-2 - 5) + 9 - -19.
273
Let a = -9/695 - -5493/5560. Calculate the common denominator of -83/20 and a.
40
Let b = -91911/10 + 9188. What is the common denominator of b and (17/(-57))/(2/(-18))?
190
Let j(h) = 5*h - 22. Let p be j(5). Find the common denominator of -31 and p*(-3)/(-108)*(-2 - 3).
12
Let s be (-2 - 0)/(1/(-5)). Suppose -3 = -h - 2*r + 5, -h = -3*r - 8. Calculate the lowest common multiple of h and (12/(-14))/(s/(-70)).
24
Calculate the common denominator of (60/(-750))/(3 + 886/(-290)) and -29/140.
140
Let u(r) = -r**2 + 37*r - 38