1/90.
630
Let k = -191 + 198. Suppose 6*b - k*b + 24 = 4*u, u = 3. Calculate the lowest common multiple of 1 and b.
12
Suppose -5*u + 109 = -3*q, 3*u - 57 = q - 2*q. Suppose 5*z = 10*z - u. Suppose v - 13 = -z*w + 3, v + 5*w = 18. What is the least common multiple of v and 8?
8
Calculate the common denominator of -217*160/448*(-3)/(-160) and 95/128.
128
Let d = -6047/520 + 171/13. Let u = -2108 + 3752. Calculate the common denominator of d and u/16*(-2)/27.
360
Let i = -26468 - -343875/13. Let a = 1291/52 + i. Find the common denominator of 41/4 - (-296 - -300) and a.
4
Let n be (-288)/(-21) - (-30)/105. Let g = 24 - n. Calculate the smallest common multiple of 2 and g.
10
Suppose 0 = 2*a + 3*l + 57, -5*a + 2*l - 146 = 6*l. Suppose -5*i + 3330 = 85*i. Let z = i + a. Calculate the smallest common multiple of z and 8.
56
Let w = -25096/39 - -72629657/112866. Calculate the common denominator of w and 13/11.
31834
Let z(n) = 57*n - 1. Let q be z(1). Suppose 5*t - 5 = -4*r, 2*t - 5*r = -9 + 11. Suppose -t = -3*m + q. What is the smallest common multiple of 4 and m?
76
Let o = -7 + 15. Suppose -j + 44 = 4*c - o*c, 0 = 3*j + 3*c - 72. Let k(b) = -b**2 + 29*b + 18. Calculate the lowest common multiple of 18 and k(j).
414
Let i = -63 + 64. Calculate the smallest common multiple of i and 4*5/30*57.
38
Suppose 2*c + 2*t = 276, 47 - 161 = -c + 2*t. Calculate the least common multiple of c and 3770.
3770
Suppose 2*d + 736 = 2*h, 4*h - 387 = 2*d + 353. Let i = 412 + d. What is the common denominator of 69/88 and i?
88
Let a(p) = 17*p**2 + 4*p - 3. Let x be 2/5 + 608/(-95). Let d be a(x). Calculate the common denominator of -1/26 and ((-6)/(-80))/((-26)/d).
208
Suppose 5*z + 43 = 2*w, -4*w + 224*z = 229*z - 11. What is the lowest common multiple of w and 81?
81
Let c(x) = -x**3 - 4*x**2 + 8*x + 7. Let n be c(-5). What is the common denominator of 37/66 and 236/60*2*(-10)/n?
66
Suppose -3*j - 3*z = -8*z - 677, 2*j = 3*z + 451. Let h = j + -431. Find the common denominator of ((-12)/126)/((-8)/h) and -29/12.
84
Calculate the common denominator of (5 - (-40)/105)*7/(-6) and (42/(-27))/((-16)/(-66)).
36
Suppose 9 = 3*y - 6. Let s = -439 - -383. Calculate the least common multiple of 2*s/32*-2 and y.
35
Let j = 14456 + -10796. Calculate the least common multiple of j and 30.
3660
Suppose -397*y + 377*y = -140. Let q(m) = 10*m - 17. Calculate the lowest common multiple of y and q(7).
371
Suppose 19*f - 13*f + 60 = 0. What is the smallest common multiple of 2 and -3*((-3510)/75 - 8/f)?
138
Suppose -3*w = 4*j - 220, 0 = 38*w - 35*w - 5*j - 184. Calculate the smallest common multiple of w and 204.
204
Suppose -5*a - 11 = -1. Let r = 8 + a. Find the common denominator of (38/24)/(r/(-20)) and 5/7.
126
Let z be (-14)/(-14310)*(-70)/735. Let w = z + -231337/85860. Calculate the common denominator of -77/68 and w.
612
Let u be -2 - ((-4427306)/(-40))/13. Let n = u + 8511. Find the common denominator of -119/50 and n.
100
Find the common denominator of 77/2312 and 2/16*(-94 + 98)*41/2.
2312
Let o be 867/19550*(-254)/6. Let h = o - 3/1150. What is the common denominator of h and -11/20?
100
Let f(x) = -2 - 13*x + x**2 + 38 - 15*x + 23*x. What is the least common multiple of 56 and f(5)?
504
Let o = 125851/444 - 567/2. Calculate the common denominator of -113/96 and o.
3552
Let d = -16594 - -17418. Calculate the least common multiple of 618 and d.
2472
Let n(a) = -2*a**3 - 2*a**2 - 4*a - 4. Calculate the smallest common multiple of n(-2) and 2944.
8832
Let b(u) = 2*u - 63. What is the smallest common multiple of (4/(-10))/(6/(-30)) and b(34)?
10
Find the common denominator of 6/(3 + 3) + (-172)/(-4610)*-27 and 79/30.
13830
Let t be (7 + -8)*(-3 - 12*-1). Let g = 6717 + -73837/11. Find the common denominator of g and 2*(-3)/6 - (-11)/t.
99
Suppose 986 = -21*t + 4*t. Let v = -55 - t. What is the lowest common multiple of v and 21?
21
Let x be -4 - (6 + -10 + -6). Find the common denominator of x + 490/(-45) - 3*1 and 89/6.
18
Let i = 51 - 815/16. Let g = -1056/13 + 60923/754. Calculate the common denominator of g and i.
464
Let o(w) = 5*w**3 + 4*w**2 + 21*w. What is the smallest common multiple of 28 and o(3)?
3276
Let y = 36 + -20. Let u = 2566 + -2170. Let b = u + -382. What is the smallest common multiple of y and b?
112
Suppose 6160 = -5*k - 4*a, -2*a + 4928 = -4*k + a. Find the common denominator of 24/(-256)*(-244)/(-6) and (-42)/k*138/9.
176
Let z = -2685 - -6341. Calculate the lowest common multiple of z and 4.
3656
Suppose 9*f = -134 - 154. Find the common denominator of -1*(-4)/(f/146) and -58/55.
220
Let u be 6*3/6*140/(-15). Find the common denominator of 7/u*3/(27/(-330)) and 64/27.
54
Let j(t) = -3*t**2 - t + 3. Let u be (-21)/(-6)*(-20)/(-70). Let s be j(u). What is the common denominator of s/((-7)/(-14)) + 19/(-3) and 54/13?
39
Suppose -437 = 7*h - 3*h + w, -3*h + w = 333. Let t = -90 - h. What is the least common multiple of t and 55?
220
Let m = 309 - 255. Calculate the common denominator of -13/57 and (5 + m/(-10))/(12/(-142)).
285
Let i = 517/72 + -51/8. Calculate the common denominator of i and 2/8 + (-23)/(-2).
36
Let c = -11823 + 177277/15. What is the common denominator of 83/735 and c?
735
Let z(l) = -2*l + 26. Let c be (-16 + 14 - -1)/((-2)/(-34)). What is the smallest common multiple of z(c) and 20?
60
Let m = 28320 + -18840. Suppose 0*k - m = -4*k. Let v = k + -16546/7. Calculate the common denominator of -36/7 and v.
7
Suppose -4*y - 16*c + 2500 = -11*c, -4*y = c - 2516. What is the lowest common multiple of 441 and y?
4410
Let y = 176221/1821204 + -41/5913. What is the common denominator of y and -29/1980?
13860
Suppose k - p = 6081, -4*p = -11*k + 10*k + 6096. What is the lowest common multiple of 4 and k?
6076
Let u = -65 + 67. Suppose 4*p = 2*k - k + 2, u*p = 3*k - 4. What is the least common multiple of 2420/198 - k/9 and 16?
48
Suppose 3*k - x + 8 = 33, 5*k = 3*x + 35. Find the common denominator of 0/(-9 - -4) + 9/k and -2 + 74*(-3)/(-44).
110
Let d be 5/1*(-3)/(135/63576). Let n = 791195/112 + d. What is the common denominator of 83/63 and n?
1008
Suppose -3*k + 566 + 3003 = 5*s, 3*s - 2*k - 2149 = 0. What is the smallest common multiple of s and 260?
2860
Let l = 54 - 50. Let o(y) = y + 1. Let q be o(l). Let m(t) = t**3 - 5*t**2 + 12. Calculate the smallest common multiple of 18 and m(q).
36
Let s = -676/11 + 308/5. Let j be (-3 + (-2)/4)*2. Calculate the common denominator of s and j*((-4)/(-8))/(16/(-20)).
440
Let d = 118433 - 113340371/957. Calculate the common denominator of d and -105/116.
3828
Let l be 210/(-4)*(-12)/(-15). What is the common denominator of (24/20)/(l/135) and (-182)/(-24) + -1 - (-24)/(-32)?
42
Calculate the common denominator of 48/431 and (8 - 7)*(-64)/(-112).
3017
Let o = -61646733887/50 - -1232889968. Let x = o - -44708. Find the common denominator of x and -29/50.
50
Let c(p) = -10*p**2 - 8*p + 5. Let w be c(-7). Let o = w - -561. What is the lowest common multiple of 44 and o?
132
Let k = 668965/48 + -55759/4. Let c = 13372/3 + -4482. What is the common denominator of c and k?
48
Let u = -49 - -57. Let w be u*1/(-3 - -4). Let y = 2 + w. Calculate the smallest common multiple of 10 and y.
10
Calculate the least common multiple of 63/84 + -297*((-25)/(-4))/(-5) and 186.
372
Suppose 5*y - 200 = -5*p, 2*y - 20 = p + 45. What is the lowest common multiple of y and 175?
175
Suppose 26922 = -22*f + 11*f + 25*f. What is the smallest common multiple of f and 12?
7692
Let i be 1 - 3665/(-180) - -1. Let g = -43/36 + i. What is the common denominator of g and 19/97?
582
What is the common denominator of (-451)/220 + 2 - (-298)/65160 and -131/1086?
3258
Let x = 3579/12460 - 42/445. Find the common denominator of x and -139/240.
1680
Let a be 12/(-30)*(-25 + 10 + -5). Suppose -32 = -a*s - 8*s. Let x = -30 + 45. What is the lowest common multiple of s and x?
30
Suppose 0 = 3*m - 13*m - 60. Find the common denominator of 17/56 and 1/(6/m) + 14/8.
56
Let a = 614 + -269. What is the lowest common multiple of 55 and a?
3795
Let q = -93883/4 + 23474. What is the common denominator of q and 2/(2*(-11)/(-53))?
44
Let f(c) = 22*c + 963. Let o be f(-43). Let z(h) = 1 - 7*h - 8*h - 17 + 18*h**2 - h**3. What is the lowest common