.
180
Let g(i) = -i**2 + 308*i + 3160. Let t be g(-10). Let j = -36 - 0. Find the common denominator of (-664)/j*(-2 - 46/t) and -25/33.
165
Let p be (2/(8/2))/((-20)/(-6160)). Suppose 32*v + p = 43*v. Calculate the lowest common multiple of v and 26.
182
Let n(h) = h**3 - 4*h**2 + 7*h - 6. Suppose -9 - 3 = -3*g. What is the least common multiple of 160 and n(g)?
1760
Let b = -13322 - -146569/11. What is the common denominator of b and -52/29?
319
Let w = -1961/672 - -133/32. Let q(g) = 71*g + 490. Let x be q(-8). Find the common denominator of w and (x/(-72) + -1)*(-266)/(-4).
168
What is the common denominator of ((-42)/9)/((-1496)/663) and -83/16?
176
Let x be (-1)/(-6) - (-7 + 19679/165). Let u = x + 549/5. Calculate the common denominator of 550/(-84) - (-2)/6 and u.
70
Let z = -57 + 71. Suppose -10 = -z*o + 9*o. Suppose o*k - 32 = -k - 2*b, 3*b = -k + 6. Calculate the least common multiple of 8 and k.
24
Let j(b) = -b**3 + 9*b**2 - 2*b - 12. Let i be j(7). What is the smallest common multiple of 54 and 8/160*-4 - i/(-10)?
378
Let b = 24901/2562 - 696/61. Let u = 1151/86726 + -3/842. Let m = -718/309 - u. What is the common denominator of b and m?
42
Let c(j) = 6*j + 44. Let d be c(-6). Calculate the common denominator of 67/14 and 53/d + (-78)/312.
56
Let c be -3 + (-2 - 171201/36). Let i = 8186 - 3434. Let x = c + i. What is the common denominator of -23/12 and x?
12
Let d(t) = -117*t**2 + 4*t - 3. Let l be d(1). Let i = l + -56. Calculate the common denominator of (1/30)/(-1)*i/(-3) and 17/6.
90
Suppose 0 = k - 2*k + 10. Calculate the smallest common multiple of -4 + (-145)/(-35) - 221/(-119) and k.
10
Suppose 0 = s - 3*a - 86, 4 = 9*a - 11*a. What is the smallest common multiple of -2 + s/30 + (-38)/(-6) and 21?
21
Let v(z) = 2*z**2 - 8*z - 5. Let a be (-4)/(-14) - (-114)/42. Let o be v(a). Calculate the common denominator of (-55)/25*(o/(-3) + -3) and 2/3.
15
Let i(c) be the third derivative of c**6/120 + c**5/12 - 3*c**4/8 + 5*c**3/6 - 36*c**2. What is the smallest common multiple of i(-5) and 8?
200
Calculate the common denominator of -89/22 and (2/(-10))/(968/(-12540)).
22
Let d = 346 - 106. What is the least common multiple of 2880 and d?
2880
Suppose 15544 = 51*q - 43*q. Let i = q + -7855/4. What is the common denominator of -101/26 and i?
52
Let p be 107/214 - (1 + (-122)/(-4)). Suppose 4*h = -5*b + h + 302, 4*b - 245 = h. Let c = p + b. What is the least common multiple of c and 16?
240
Let a = -2362 - -2382. Let g(l) = l + 9. Let w be -1*(1 - 3 - -2). Calculate the smallest common multiple of g(w) and a.
180
Let f = -3907/2 - -2584. Let w = -679 + f. What is the common denominator of w and (-44)/2*7/(-16)?
8
Calculate the smallest common multiple of 9 and (1 - -2)*(2 + (-23304)/(-24)).
8757
Suppose 9 = v + 5*r - r, -2*v = -5*r + 8. Suppose 720 = -57*z + 17*z. What is the least common multiple of v and (-110)/z + (-1)/9 + 5?
11
Suppose 0 = -2*j + 3*j - 37. Let o = -33 + j. Suppose -2*y + o*y - 8 = 0. Calculate the least common multiple of 10 and y.
20
Let m = 49954 - 10490309/210. Find the common denominator of -33/340 and m.
7140
Let p(h) = h**3 - 6*h**2 - 2*h. Let f be 14/6*36/12. What is the lowest common multiple of 14 and p(f)?
70
Suppose 0 = -j + i - 6, -2*j - 3*j - 18 = i. Let b be ((-3)/j)/(-7 - (-5202)/744). Let u = b - -111. Calculate the least common multiple of 14 and u.
126
Let o = -6040289/110 + 54911. What is the common denominator of 61/70 and o?
770
Let w(d) = -d**3 - 20*d**2 + 28*d - 13. Let h be w(-22). Let j = 349 - h. Calculate the smallest common multiple of j and 115.
230
Let s = -7989 + 7993. What is the smallest common multiple of (-1 - -4) + 11*3 and s?
36
Let m be 113/3 - (19 + -21). Let c = m + -950/21. Find the common denominator of c and 43/63.
63
Suppose -25*y = -20*y + 10, -8 = -m - y. Suppose -2*u - 2*u + 88 = 0. Calculate the least common multiple of u and m.
110
Suppose -3*o = -c + 1 + 1, 2*o + 5 = -3*c. Let z be 6*512/(-72) - c/(-3). Let d = z - -63. What is the lowest common multiple of 28 and d?
140
Suppose -902*l + 496400 = -610*l. What is the least common multiple of l and 544?
13600
Calculate the smallest common multiple of 744 and (-15810)/(-136)*(-224)/(-21).
3720
Suppose 0 = 3*l - 18 + 27. What is the common denominator of (-3)/(-18)*(-496)/(-24) and l?
9
Let h be ((-11)/(-3))/((-1075)/(-180) + -6). Let z be (0 + 18)/(18/h). Find the common denominator of 51/16 and (-3 + (-22)/4)*(-6)/z.
176
Let x(r) = -130*r - 14815. Calculate the least common multiple of x(-114) and 351.
1755
Let s be 2 + (-9)/4 + 594341/528. Let h = s + -3367/3. Find the common denominator of -5/104 and h.
208
Let w = 20924 + -857834/41. Let j = -562/615 - w. What is the common denominator of -13/120 and j?
120
Let j = -863 - -887. Suppose 0 = 5*c - 4*k - 113 + 23, 0 = -3*c - 5*k + 17. What is the smallest common multiple of j and c?
168
Let a = 85 + -87. Calculate the lowest common multiple of 55 and 2 - 0 - (1 - (a + 6)).
55
Suppose -5*b + p = -340, -3*p + 6*p + 123 = 2*b. Suppose -b + 79 = 2*h. Suppose -27 - 33 = -h*n. Calculate the smallest common multiple of 24 and n.
24
Let w = 1366541/179136 - 2427/311. What is the common denominator of w and -139/48?
576
Let m = -580253/30 - -19348. Suppose -3*q - 4*q = 70056. Let p = q + 59915/6. What is the common denominator of m and p?
30
Let y(p) be the first derivative of -p**4/4 - p**3/3 + 2*p**2 - p + 2. What is the lowest common multiple of ((-4)/6 - (-8)/384*-4)*-12 and y(-3)?
45
Suppose -3 = 2*d - 2*l - 77, 5*d - 2*l - 194 = 0. Calculate the smallest common multiple of 62 and (-20)/(-3)*(d - 37).
620
Let x(q) = q**3 - 6*q**2 + 15. Let b be x(-12). Let m = b + 20539/8. Calculate the common denominator of -4 + 8/(336/(-9)) and m.
56
Calculate the common denominator of 53/765 and ((-2)/(-60))/(238/2373).
3060
What is the common denominator of 0 + (-505)/400*4 and -89/970?
1940
Let q(z) = 2*z**2 - 81*z - 2731. Let x be (0/(-1))/(0 + 2). Suppose 4*n - 5*t - 45 = x, t = -3*n - 2*t + 27. What is the lowest common multiple of n and q(-22)?
190
Let k(x) = 16*x - 16. Let f(u) = -11*u + 11. Let p(b) = -7*f(b) - 5*k(b). Let h be p(-5). What is the smallest common multiple of h/(-63) + 312/14 and 6?
66
Let p = -179003/18 - -9941. Calculate the common denominator of 145/882 and p.
882
Let w(y) = -y**2 + 18*y + 11. Let t be w(9). Let o = t - 87. Let s(j) = 2*j + 1. What is the smallest common multiple of o and s(5)?
55
Let x = 12 + -7. What is the lowest common multiple of 746/17531 + 15/(-1410)*(-8927 - -1) and x?
95
Let z = -1646 - -1648. Calculate the smallest common multiple of z and 460.
460
Find the common denominator of 39/8 and 3/(103272/103148) + (-90 - -87).
34424
Let s(g) = 263*g + 16. Let q be s(1). Let o = q + -219. Calculate the least common multiple of o and 102.
1020
Let r = 45 + -45. Suppose -p + 10 - 3 = r. Suppose p*l = -2*l + 18. Calculate the lowest common multiple of 12 and l.
12
Let a(q) = -5*q**3 + 5*q**2 - 2*q - 1. Let w(s) = s**3 - s**2 + s. Let c(g) = -a(g) - 4*w(g). What is the least common multiple of 102 and c(0)?
102
Let v(l) = -7*l + 169. Let g be v(24). Calculate the common denominator of 66/(-2) - (g + -3 + -3) and -16/57.
57
Let c be -2 - (-33566)/8390 - (-1 + 3). Let j = 209849/138435 - c. What is the common denominator of -43/2 and j?
66
Calculate the smallest common multiple of 249 and 202 - 189 - (-1 + -70).
6972
Let z be (-16)/(-2) - (-7 + 10). Find the common denominator of 6/105*z + (-3092)/(-840) and 17/24.
120
Let r = 679087/28 + -24250. Calculate the common denominator of -71/18 and r.
252
Let y be 23090/(-2 + (-296070)/(-54895)). Let j = 89/13971 + y. Let s = -6810 + j. Calculate the common denominator of s and -127/24.
24
Find the common denominator of (-1179)/1048 + (-1016)/(-192) and (1 + -2)/(34/(-21)).
102
Let a = -5556467030/613353 - 15/408902. Let q = -9039 - a. Find the common denominator of 143/30 and q.
30
Let b(c) = -3*c - 6. Let k be b(2). What is the least common multiple of 3/(1*k/(-16)) and 23?
92
Let n = -4124/9 - -45487/99. Let d = -36 - -6. What is the common denominator of 568/16*(-4)/d and n?
165
What is the common denominator of ((-248)/22)/(-2) + (-16 - 98)/19 and -85/16532?
181852
Let w = -641831/1064 - 