ator of 71/27 and w?
216
Let z be (-8 + 16)/((-4)/(-14)). What is the common denominator of -151/30 and (-10)/z*539/264?
240
Let i(n) = -3*n**3 - 2*n**2 - n. Let r be ((4 - 0) + -2 + -3)*-4. Let h(b) = -b**2 + 7*b - 3. What is the lowest common multiple of h(r) and i(-1)?
18
Calculate the least common multiple of 1119 and (10/((-40)/12))/(5 + -6).
1119
Let c(j) = 33*j**2 + 61*j + 52. Let m(h) = h**3 - h**2 + h. Let b(k) = -c(k) - m(k). What is the least common multiple of 26 and b(-30)?
104
Let v = 382 + -176. Find the common denominator of (-2)/(-2)*3/(60/v) and 1*695/(-42) - (-10)/(-35).
30
Let q(t) = t + 23. Let n be q(-18). Suppose n*g + 2 = 127. Suppose a - g = -p, 4*a - 6*p - 79 = -3*p. Calculate the smallest common multiple of a and 16.
176
Let s(p) = p**2 - 4*p. Let n = 157 + -211. What is the lowest common multiple of s(6) and (-12)/n*-3 + 332/12?
108
Let d be 12594/(-24) + (-1)/4. Find the common denominator of (-1)/(-3) + 1288/d and (-2 + 0)/(49/21).
175
Let s = 490/39 + -3/13. Let v(r) = -56*r**3 - 9*r + 9. Let k be v(1). Find the common denominator of s and (k/90)/(24/(-60)).
9
Suppose 30 = -2*v + 3*v. Let k(b) = 15*b + 2. Let a be k(4). Suppose -5*f + 37 - 8 = 2*z, -2*f = 5*z - a. What is the smallest common multiple of v and z?
60
Let x be 34862091/9948240 + 4/(-1). Let p = -5/27634 + x. What is the common denominator of p and -45/4?
240
Calculate the least common multiple of 180 and (864/(-56))/(3/(-21)).
540
Let i = 69 - 46. Suppose -3*l + 1 + i = 3*j, 2*l + j = 20. Calculate the smallest common multiple of l and 48.
48
Let u = 18382 + -18358. Calculate the smallest common multiple of 180 and u.
360
Calculate the common denominator of 8/25 and (-14)/((-168)/108) - 1339/160.
800
Suppose 5*o + 3376 = -w + o, 3*w + 5*o + 10142 = 0. Calculate the common denominator of (-1)/24*w/240 and (11/10)/((-16)/(-140)).
80
Let t = 630668/393207 - 85/53. Let v = t + 284389/44514. What is the common denominator of v and -29/976?
8784
Suppose 5*t - 115 = 50. Let r = 43910 - 43898. What is the least common multiple of r and t?
132
Suppose -5208 = 656*b - 662*b. Calculate the least common multiple of 558 and b.
7812
Suppose 6*j + 84 = -3*x, -3*x - 36031 = -2*j - 36091. Suppose -7 - 13 = 4*f. Let u = 5 - f. Calculate the least common multiple of u and x.
40
Let q be (3*9/12)/((-4239)/504). Let p = 10873/2198 - q. Calculate the common denominator of p and 99/56.
56
Suppose -2*n + 3*n = 248. Let r = n + -170. Let f = -11 + 17. What is the smallest common multiple of f and r?
78
Let l = -72/20237 - 865027/24203452. Find the common denominator of -21/884 and l.
20332
Let c(y) = -30*y**2 + 2*y + 49. Let l be c(-11). Let h = -28789/8 - l. Calculate the common denominator of h and (-3)/(-3 + 260/84).
8
Suppose -3*j = 2*v + 156, 17*j - 22*j = v + 267. Calculate the lowest common multiple of 54 and j*(24/(-288) - (-2)/(-8)).
54
Suppose 0 = 5*x + 4*j - 127, -5*x + j - 48 + 185 = 0. Suppose -116 = -x*c + 100. Calculate the smallest common multiple of c and 116.
232
Let c(t) = -2*t**2 - t - 2. Let w(m) = -8*m**2 - 219*m + 15. Let g(r) = -4*c(r) - w(r). What is the smallest common multiple of g(-14) and 10?
70
Suppose 0 = -52*r + 50*r - 5692. Let o = -119519/42 - r. Calculate the common denominator of -20/33 and o.
462
Suppose a + 4*a + 3*w - 47 = 0, 4*a - 43 = 3*w. Suppose 17 + 19 = u. What is the lowest common multiple of a and u?
180
Let p(n) = 5*n + 11. Let q(h) = -h**2 - 16*h - 4. Let r be q(-14). Suppose 29*m - r = 21*m. What is the smallest common multiple of 8 and p(m)?
104
Let o(b) = -1555*b**2 - 3*b - 3. Let x be o(5). Let d be (-4)/4 + x/24. Let m = 3233/2 + d. Calculate the common denominator of m and -145/18.
72
Suppose 668 = 72*w - 70*w - 4*t, -3*w + 1106 = 7*t. What is the least common multiple of 24 and w?
4200
Suppose -15 = 142*x - 147*x, 5*x - 897 = -2*l. What is the least common multiple of l and 28?
1764
Suppose 138*x - 145*x = 28. What is the lowest common multiple of (-2)/x*(32 - (-24)/6) and 3?
18
Let m be (342/12)/((-3)/(-202)). Calculate the common denominator of -103/6 and m/703*(13/(-12) + 1).
444
Calculate the lowest common multiple of 10/(-125) - (-252)/25 and 82/1 - (9 - 8).
810
Let k(i) = i**3 - 6*i**2 + 600*i - 1764. Suppose -30 = 3*y - 5*y. What is the least common multiple of y and k(3)?
45
Let a(v) = 5*v**2 - 94*v - 651. Calculate the lowest common multiple of a(-6) and 93.
93
Let u = 8530 - 7998. What is the least common multiple of 14 and u?
532
Let s = -251 + 59. What is the common denominator of (-4 - -1) + s/42 and 0 + 4 + (8/(-7))/1?
7
Let y be ((-90)/(-75))/(2/5). Suppose 0 = -y*t - 3*r + 3, t - 5*t + 4*r = -4. Suppose -4*x + 5*x = t. What is the least common multiple of 1 and x?
1
Let v(y) = -405 + 232 + 4*y + 310. Calculate the lowest common multiple of 99 and v(-14).
891
Let s = 100 + -191. What is the common denominator of (-226)/(-616) + (-39)/s and -93/44?
44
Let c(g) = -31*g**2 + 2*g + 6. Let a = 308 - 152. Calculate the lowest common multiple of a and c(0).
156
Suppose 5*w - 1204 = -g, w + 4*g + 704 = 4*w. What is the lowest common multiple of 90 and w?
720
Suppose 993 = -8*v - 767. Suppose 2*k + 10 = 42. Calculate the smallest common multiple of 40/v + (-310)/(-11) and k.
112
Let x = -9162647/170423200 - -3/213029. What is the common denominator of 11/480 and x?
2400
Let d = 2492/9 + -2504/9. Let k = 71/6 + -319/18. Find the common denominator of k and d.
9
Let o be (384/120)/(4/(-10)). Calculate the lowest common multiple of (2 + o)*(-15)/6 and 35.
105
Let l(c) = -2*c**2 + 25*c - 60. Let y be l(8). Calculate the least common multiple of ((y - 0)/(-2))/((-9)/66) and 16.
176
Suppose -18*g + 374 = -g. What is the lowest common multiple of g and 29?
638
Let z = -1156477 - -1891996285/1636. What is the common denominator of 34/2863 and z?
11452
Suppose 13678 = 148*r + 1246. What is the lowest common multiple of 546 and r?
1092
Let t(a) = 6*a**2 + 85*a - 37. Let w(z) = z**3 - 5*z**2 + 5*z - 6. Let o be w(4). Let r(b) = -8*b - 2. What is the least common multiple of r(o) and t(-15)?
266
Let l(q) = -3*q + 234. What is the least common multiple of 7 and l(70)?
168
Suppose 5*j = -a - 3, 3*j = -5*a + j - 15. Find the common denominator of (-2)/a + (-1449)/135 + 5 and -62/5.
15
Suppose -19*d + 367 = 1279. What is the common denominator of 4/(d/9) - 4/12 and -79/69?
276
Let w = -31 - -35. Let v(t) = 5*t - 185. Calculate the lowest common multiple of v(40) and 3/4*(0 + w).
15
Let f(w) = 112*w - 2232. Calculate the least common multiple of 620 and f(31).
1240
Calculate the common denominator of (-3)/84*75 + 0 and (-113)/(-452) + (23 + -21)/((-32)/194).
56
Let w(n) = -n**3 + 46*n**2 - 54*n + 411. Calculate the least common multiple of 27 and w(45).
54
Let d = -4957/3906 + -26/217. Calculate the common denominator of 139/4176 and d.
4176
Let s = 474 - 472. Find the common denominator of s/13 + ((-254419)/(-35178) - 7) and -20/7.
1722
Let l = -12587/468 + 1777/52. Find the common denominator of l and 238/48 + 2/(-2).
72
Suppose -10 = -15*a + 79 + 31. Let x be (-2 - -1)/((-1)/55). What is the least common multiple of 3 and 341/x + a/10?
21
Let m = -867039/1190 - -12404/17. Find the common denominator of m and 158/120*-2*12/(-8).
140
Suppose 10537 - 3830 = 26*j - 4473. Calculate the smallest common multiple of 110 and j.
4730
Let x = -4279/348 - -149/12. Suppose 4*l - 2 = -2*s, 5*s = -3*l - 2 + 14. What is the common denominator of l - -1 - (-390)/(-36) and x?
174
Suppose 57*y - 12 = 55*y. Suppose -y*z - 58 = 2. Calculate the common denominator of -91/6 and (-1 + (-597)/(-12))*(-1)/z.
24
Suppose 2*w = 3*w - i, -5*w = -2*i. Suppose w = 3*n - n + 96. What is the common denominator of ((-2)/(-4))/((-33)/n) and 61/16?
176
Let f = 44327/231 + -1343/7. Calculate the common denominator of f and 10/27.
2079
Let s be 62892/(-24)*(-2)/(-3). Let v = 5287/3 + s. What is the common denominator of -17/94 and v?
282
Suppose 12 = q + 5*o, 19 + 17 = 3*q + 2*o. Calculate the lowest common multiple of q and 992.
2976
Let p = 3566/23 - 400749/2576. What is the common denominator of p and -101/126?
1008
Let v(u) = 4*u**3 - u**2 - u + 1. Let i be v(1). Suppose 4*o = z + i*z + 132, -2*z = 2*o - 62. Let y = -1 - -7. What is the lowest common multi