
12
Let n = 5501/924 - 389/66. Calculate the common denominator of n and 133/360.
2520
Let i be -6 - -3 - (-9411264)/3137066. Let x = -221823504799/28233594 - i. Let g = -7853 - x. Calculate the common denominator of g and -107/10.
90
Let q = -997 + 999. What is the least common multiple of q and 3340?
3340
Calculate the common denominator of (4/(-3)*51/(-238))/(142200/(-11445)) and 7/25.
23700
Let b = 22825596243/40 - 570673171. Suppose -a - 33260 = -j, 6*a - 166318 = -5*j + 2*a. Let q = j + b. What is the common denominator of q and -31/30?
120
Let z = 388667/378 + -6167/6. Calculate the common denominator of z and 34/3.
189
Suppose -5*s - 309 = 6. Find the common denominator of 9/4 and 3 + s/(-60) - (0 + 1).
20
Calculate the common denominator of ((-2)/(-20))/(-1 - 2808/(-1416)) and -131/24.
3480
Suppose -46*f + 53*f = -7. What is the common denominator of -89/40 and 6/4 + f + (-1846)/(-2080)?
80
Suppose 0 = g + 5 - 6. Suppose 13 + g = 7*h. What is the common denominator of 57/16 and (-391)/187 - h*-2?
176
Let m = 14229 - 341435/24. What is the common denominator of m and 434/(-29760)*132 + (-3)/(-10)?
24
Let l = 86 - 52. What is the least common multiple of l and (4/(0 + -1))/(-2)?
34
Let t(n) = -n + 69. Let m = 13 - 18. What is the smallest common multiple of 8 and t(m)?
296
Suppose 40*v + 5*f + 96 = 41*v, 4*v - 284 = -5*f. Calculate the lowest common multiple of v and ((-56)/12)/(1/(-6)).
532
Let f(q) = -5 + 0 - 10 + 67*q + 2. What is the lowest common multiple of f(1) and 9?
54
Let h(n) = 16*n - 6. Let x be h(3). Let u be (3 - 3 - -2) + 1. What is the common denominator of -91/8 and 4 + (1 - u) + (-393)/x?
56
Suppose -16*k + 9558 = 65*k. Calculate the smallest common multiple of k and 361.
42598
What is the lowest common multiple of 9 + (-30)/21 + 100/(-28) + 4 and 15187?
121496
What is the common denominator of (-4986)/13573*7/8 and 85/4?
28
Suppose 221 = -5*k + 11. What is the common denominator of 3/4 - (-614)/120 and 5 + -4 + 200/k?
105
Suppose 0 = -3*d - 12, 0*t = 5*t - 5*d + 100. Find the common denominator of 2/(-8)*27*16/t and 17/12.
12
Suppose -y - 36 = 3*k - 63, 4*k - 43 = y. Calculate the lowest common multiple of k and 1136.
5680
Let i = -543 + 287. Let s = i + 312. What is the least common multiple of s and 80?
560
Let b be (11103/(-7))/(((-40)/364)/1). Let o(i) = -116*i**3 - 4*i**2 - 4*i + 2. Let p be o(-5). Let t = p - b. What is the common denominator of -38/65 and t?
130
Suppose -2*c + 9 = 1. Suppose -9*y + 12*y = 93. Suppose y*b - 104 = 5*b. What is the lowest common multiple of c and b?
4
Let d(v) = -3*v + 30. Let c be d(7). Suppose 164*z = 165*z - c. What is the lowest common multiple of z and 62?
558
Let u = 52259971387/17624 + -2965273. Calculate the common denominator of u and -87/14.
123368
Suppose 39*b = -12*b + 19*b + 39424. What is the lowest common multiple of 1232 and b?
1232
Suppose -5*v = -4*j - 3861, 5*j + 21 = 1. Let k be 4682/(-4)*10/15. Let t = v + k. Calculate the common denominator of -5/8 and t.
24
Let x = -3780160746/1343 + 94829469/34. Let d = x + 25612. Find the common denominator of d and 91/2.
158
Let o = -11 + 20. Suppose -3*n - 13 = 2*v, v + 16 - 2 = -3*n. Let m = 2 - n. What is the smallest common multiple of o and m?
63
Let k be (((-57700)/(-15))/(-5))/(4/24). Let b = k - -50739/11. What is the common denominator of b and 99/8?
88
Let r = 10176 - 10170. Calculate the least common multiple of 111 and r.
222
Find the common denominator of 99/3328 and (-3 - 0)/(-6)*(-13)/1352.
3328
Suppose 2*t + 28 = 5*p, 0*p - 2*t = p + 4. Suppose p*f - 20 = -0*f. Suppose 70 = -0*h + f*h. What is the least common multiple of h and 8?
56
Let b be (89/1 - -4) + -3. Let g = -47 + b. Let t = g - 21. Calculate the lowest common multiple of t and 4.
44
Suppose 2*g = 52 - 20. What is the lowest common multiple of g and (-42)/(-15)*((-1296)/112 + 13)?
16
Suppose 6*x = 2*x + 132. Suppose 5*w = w + 32. Suppose w*d + 14 = 38. Calculate the smallest common multiple of x and d.
33
Let l(t) = -2*t**2 - 2*t + 2. Let f be l(-2). Suppose 5*d + 368 = 2*p - 130, -4*p = -4*d - 996. Find the common denominator of (p/18)/(f + 1) + 2 and -29/3.
6
What is the common denominator of -99/340 and (-110)/(-5100)*(2 - (-20)/4)?
1020
Let g = -21545129/13650 - -39459/25. What is the common denominator of g and -8/351?
24570
Let k(y) = -10*y**2 - 2*y**2 + 35*y + 83 - y**3 - 63. Let s be k(-14). Find the common denominator of 5/3 and (-9)/s*10/(-12).
156
Let c = -3482/3 + 390101/336. Find the common denominator of (-2)/4 + (-273)/12 and c.
112
Let x = 74 + -41. Let b = x + -232/7. Calculate the common denominator of b and (-14)/(-5)*91/(-26).
35
Suppose -3*g = -2*t - 11 - 26, 84 = -4*t + 4*g. Let f be 16/10*65/t. Calculate the common denominator of 49/22 and f + (-1)/(52/(-201)).
572
Let r be (32/(-12))/((-4)/6). Let u(k) = -5*k + 10. Let z be u(r). Let h = 14 + z. What is the smallest common multiple of 4 and h?
4
Let s(y) = -4*y. Let c be s(8). Let x = -7 - -7. Find the common denominator of 268/c - (x + -1) and 25/3.
24
Find the common denominator of (-363)/(-36) - (-15)/((-495)/44) and -13/44.
44
Suppose 7 = -3*o - 8*r + 12*r, -4*r = -4*o - 8. Let t(x) = -10*x + 6. What is the smallest common multiple of 24 and t(o)?
48
Suppose 8*u - 14 = -6. Let w be ((-12)/12)/(10/8 - u). What is the least common multiple of 4/(-16)*w + (19 - 0) and 12?
60
Let n(m) = -2*m - 30. Suppose 14*u + 85 = -167. What is the lowest common multiple of 132 and n(u)?
132
Find the common denominator of -51/116 and 2544/153216*-18 + 0 + 2/7.
2204
Suppose 20 = 3*u - 2*u. Let c(k) = k**3 + 15*k**2 + 15*k - 3. Let f be c(-13). Suppose 0 = -16*x + 11*x + f. Calculate the least common multiple of x and u.
140
Suppose 0 = 5*v + 3*h + 52106, 2*v - 3*h + 27436 = 6602. Let k be v/90 - 4/18. Let f = -191/2 - k. Calculate the common denominator of -29/74 and f.
74
Let n be -4 + 3305/10 - 4/(-8). Calculate the common denominator of 21 - 28 - n/(-60) and 7/48.
240
Calculate the common denominator of 1/56 and (-213)/6*11/231.
168
Let q = 1513/20 - 70. Find the common denominator of q and 720/24 + -24 + (-186)/20.
20
Let f = -190 + 13387/70. Let k = -182 + 529/3. Find the common denominator of k and f.
210
Let y(a) = a**3 - 4*a**2 - 2*a - 1. Let f(c) = c**3 - 21*c**2 + 21*c + 2. Let d be f(21). Let x = -437 + d. Calculate the least common multiple of x and y(5).
42
Let i = -4/13969 - 1717307/3073180. Calculate the common denominator of 69/308 and i.
1540
Let d(m) = 8*m**2 + 23*m + 12. Let y be d(-8). Let p = 342 - y. What is the least common multiple of 56 and p?
56
Let r(o) = -o**2 - o + 8. Let f be r(0). Suppose -6*a = -4*a - f. Calculate the smallest common multiple of a and (-112)/42*162/(-12).
36
Let p = -22/2177 - 92159/143682. What is the common denominator of p and 139/66?
66
Let y = 1726 - 1710. What is the lowest common multiple of 1128 and y?
2256
Suppose -271*w = -878931 - 790540 - 1947837. Calculate the smallest common multiple of 4 and w.
13348
Calculate the least common multiple of 1020 and 35763/117 - ((-60)/18 - (-6)/2).
3060
Suppose 3*r + 4*i - 492 = 0, 3*r = 4*r - 3*i - 151. What is the common denominator of 13/14 and -6*16/(-24) - 422/r?
560
Let k be (490/(-4))/(8/16). Calculate the common denominator of (k/90 - -3)/(-9) and -43/10.
810
Suppose 14 = 5*x - 3*x. Let o = -15 + x. Find the common denominator of (o - -3)*(-45)/80 and -41/14.
112
Let l(a) = a**3 + 94*a**2 - 104*a - 309. What is the least common multiple of l(-95) and 20?
5460
Let n(q) = 208*q**2 + 2*q - 1. Let c be n(1). Calculate the common denominator of (-308)/(-8) + (-137 - -105) and 4/10 - c/(-40).
8
Let b(v) = -2*v + 42. Suppose 0 = 4*s + 24 - 84. What is the lowest common multiple of b(s) and 6?
12
Let t = 5 + -4. Let j = 50611 - 1214665/24. Find the common denominator of j and t/4 + 48/(-33).
264
Suppose -57 = z + 5*y, 4*y = 5 + 11. Let d = -74 - z. Suppose 0*t - d*t = -72. Calculate the least common multiple of 18 and t.
72
What is the smallest common multiple of 345 and 0 - (2 + -4) - (153/(-17) + -64)?
1725
Suppose -12*i + 9*i + 432 = 0. Let o(w) = -100*w - 1816. Calculate the least common multiple of i and o(-19).
1008
Let t = 2103 - 2095. What is the smallest common multiple of 48 and