
682
Suppose 6*k + 79 = 229. Suppose t - 2 - 2 = -j, -k = 5*t. What is the lowest common multiple of j and 5?
45
Let u = -16 - -23. Suppose -u*w = -208 - 23. What is the smallest common multiple of 24 and w?
264
Suppose 2*n - 92 = 5*k, -n - 6*k + 2*k + 20 = 0. Calculate the smallest common multiple of n and 20.
180
Suppose -299 + 114 = -5*r. Let b = r + -21. What is the lowest common multiple of (-8)/(-20) + b/10 and 2?
2
Let y(d) = d**3 - 2*d**2 - 8*d - 10. Let b be y(7). Let z = -11 + -49. What is the common denominator of 33/4 and (-3)/9 - b/z?
20
Suppose 5*h = -7*h - 12. Calculate the least common multiple of 2 and h*(29 + 1)/(1*-1).
30
Find the common denominator of -83/84 and 2/(-8)*(-855)/114.
168
Calculate the least common multiple of 220 and 20*((-1 - 3) + 5 - -2).
660
Let q = -221/5 - -45. Let c(w) = 5*w + 28. Let h be c(-6). What is the common denominator of q and h/(-14) - (-176)/77?
35
Let g = 0 + 0. Suppose g = -4*s + 2*s - 8. What is the common denominator of s/8 - (-101)/8 and -73/6?
24
Calculate the common denominator of -67/35 and (-1 + 3)/84*130.
105
Suppose 0 = 4*u - 8, 0*m - 3*m = -u - 88. Calculate the smallest common multiple of m and 105.
210
Suppose -3*h - 33 = -9. What is the least common multiple of 15 and h/5*345/(-23)?
120
Suppose -12*j - 21 + 69 = 0. Suppose 4*g - 6 = 2*g. What is the lowest common multiple of j/6 + 150/18 + -7 and g?
6
Let h(q) = 3*q**2 + 2*q - 8. Calculate the lowest common multiple of h(-4) and 44.
352
Let o = 497 + -289. What is the smallest common multiple of 2 and o?
208
Let h be (1 + 8/(-3) + 3)*6. Let p = -545/126 + 122/63. Find the common denominator of 6/h - -1*412/(-176) and p.
198
Let b = 34/55 + -1579/330. Let s = 8 + -22/3. Calculate the common denominator of b and s.
6
Let f = 32013 - 17255027/539. Let v = -52163/3234 + f. What is the common denominator of v and -43/8?
24
Let w be 8/(-2) + (-199)/5. Let m = 41 + w. Calculate the common denominator of m and -40/3.
15
Suppose 0 = 12*j - 10*j - 12. Suppose 5*r - 4*a - j = 0, 0 = -5*r - 2*a + 4*a + 8. Calculate the smallest common multiple of 8 and r.
8
Let g = 1053 + -41062/39. Find the common denominator of g and -81/4.
156
Let c be (4/14)/((-65430)/14). Let b = 461641/65430 - c. Calculate the common denominator of -93/22 and b.
198
Suppose 4*g - 58 = -2. Let c = -28 - -42. What is the least common multiple of c and g?
14
Let n(s) = -s**3 + 8*s**2 - 9*s + 10. Let g be n(7). Let i(f) = 18*f**2 - f + 5. Let k be i(g). What is the least common multiple of ((-1)/3)/((-9)/k) and 7?
77
Suppose 1042 = 3*j + 5*d, -6*d + 1066 = 3*j - 7*d. What is the lowest common multiple of 3 and j?
354
Suppose 5*t + 170 - 420 = 0. What is the least common multiple of 5 and t?
50
Let p(x) = -x**2 + 3*x - 6. Let m be p(8). Let f = -191/4 - m. Calculate the common denominator of 7/58 and f.
116
Let f = 443 + -425. Suppose 2*c = -2*c + 56. Calculate the lowest common multiple of f and c.
126
Calculate the common denominator of -53/42 and 166/(-56) - 3/(-1).
84
Let l = 63 + -43. Let y(u) = 3*u**2 - 2*u. What is the least common multiple of (8/l)/(2/25) and y(2)?
40
Let z(f) = -3*f**3 + 2*f**2 + f - 1. Let p(l) = 3*l - 4. Let h be p(-4). Let s be (-3)/(-12) - 28/h. What is the common denominator of z(s) and 61/8?
8
Let t be ((-15)/(-20))/(1/586). Let b = -430 + t. Find the common denominator of -25/6 and b.
6
Find the common denominator of 19/36 and (-4096)/4464 + (-8)/(-18).
1116
Let p = -2/13663 - -1188697/109304. Find the common denominator of p and (-2)/(-1) - 34/(-11).
88
What is the common denominator of 10/6 - 1628/(-792) and 59/320?
2880
Suppose 0 = -116*f + 68*f + 3600. Suppose 4*o = -2*x + 4*x + 2, 0 = 5*x + 4*o - 23. What is the lowest common multiple of f and x?
75
Suppose 1161 - 1149 = 4*f. Suppose -2*u - 6 = u. Calculate the lowest common multiple of f and 8 + 1 - u/2.
30
Let j be 430 - (0 - 0)/1. Calculate the common denominator of 48/32 + 86/(-18) and 5/(-25)*j/8.
36
Let x = 95583 + -13190579/138. Find the common denominator of -97/60 and x.
1380
Let a be ((-43846)/8)/(15/55). Let k = -20085 - a. What is the common denominator of -91/22 and k?
132
Let o(d) = 9 - 10*d - 2 - d**2 - 8. Let n be o(-7). What is the lowest common multiple of 12 and (-2)/(-5) - (-272)/n?
84
Find the common denominator of (-10)/(-24)*(-3481)/295 and -103/12.
12
Let c = -862/11 - -6071/88. Let q be ((-35)/168)/(2/(-71356)). Let b = q + -7427. Calculate the common denominator of c and b.
24
Suppose -3*k = -6*q - 4*k + 24, 16 = 4*q - 2*k. What is the lowest common multiple of q and 44?
44
Suppose -538*c = -540*c + 48. What is the smallest common multiple of 6 and c?
24
Suppose 0 = -4*l + 5*k, -2*k + 2 = -l - 1. Suppose 34 = -5*p + g + 93, g = -l*p + 61. Let m = 13 - p. What is the least common multiple of 11 and m?
11
Let p = 3110275/96 + -32398. What is the common denominator of -20/117 and p?
3744
Let k(l) = 1936*l - 5. Let z be k(-5). Let o be 96747/(-10) + 10/25. Let i = z - o. What is the common denominator of -59/2 and i?
10
Let i = 4 + -44. Let q = -36 - i. What is the lowest common multiple of 4 and q?
4
Let n(w) = 2*w**2 - 3*w - 1. What is the smallest common multiple of (-328)/(-56) - (-1)/7 and n(3)?
24
Calculate the common denominator of 19/12 and -2 + 22/(-72)*14.
36
Let u = 5868/715 + -1/143. Find the common denominator of u and -31/64.
320
Let s = -650 - -648. What is the common denominator of 83/152 and s?
152
Let l(i) = -i**3 + 4*i**2 + 2*i - 2. Let a be (-8)/(-12)*2*3. What is the least common multiple of l(a) and 10?
30
Suppose t = -2*z - 0*z - 446, 4*t + 2*z + 1784 = 0. Let k = t - -873/2. Find the common denominator of k and 111/10.
10
Let u = 10031/8 - 1261. Let a = -2/36637 + 3553805/293096. Find the common denominator of a and u.
8
Let g(l) = l**2 - 15*l + 16. Calculate the lowest common multiple of 8 and g(0).
16
Suppose -540 = 5*b - 15*b. Calculate the smallest common multiple of 30 and b.
270
Let r(s) = s**3 - 8*s**2 + 6*s + 4. Let o be r(7). What is the common denominator of 65/16 and -86*(o/36)/1?
48
What is the least common multiple of 36 and ((-6)/9)/((-8)/324)?
108
Calculate the common denominator of 59/12 and (-443)/(-70) + -7 + 2.
420
Let m = -18185761/90 + 202062. Calculate the common denominator of m and 37/8.
360
Suppose 0 = -a + 4*g - 7 + 99, 0 = -4*a + 5*g + 313. Calculate the least common multiple of 112 and a.
1008
Let a(n) = n**2 + 1639. Let p be a(0). Let k = p + -16367/10. Calculate the common denominator of k and 145/6.
30
Let v = -77 - -271. Suppose 214 = 2*f + v. What is the least common multiple of f and 22?
110
Suppose 6*c = 15*c - 11493. Let y = c - 30671/24. Find the common denominator of y and 73/27.
216
Calculate the common denominator of (-4)/(-34) - 13965/60180 and -149/18.
2124
Calculate the common denominator of 49/20 and (5/30)/((-10)/1065).
20
Let j(n) = -23*n - 42. Let o be j(-9). Suppose 0 = -5*w + w - 5*q + o, w - 39 = q. What is the smallest common multiple of w and 5?
40
Let h = -1326148386 + 5514125060371/4158. Let u be ((-2)/(-385))/(54/10). Let g = h - u. Calculate the common denominator of g and -81/22.
66
Let s be (20/14)/5 - (-2832)/(-14). Find the common denominator of (s/25)/(16/(-10)) and 83/38.
380
Calculate the least common multiple of 9 and (-30)/(56/24 + -3).
45
Let x = -34636294120 - -2248588214402801/64920. Let o = x - -6/2705. What is the common denominator of -61/52 and o?
312
Let w = -3901/231 + 180/11. Find the common denominator of 4/(-14) + (-970)/84 and w.
42
Suppose 10*u + 67 = 7. What is the common denominator of (-18)/81 + 8/u and 65/66?
198
Find the common denominator of (-3)/(-6)*6 - (-1224)/(-421) and 1/6.
2526
Let o = 25 + -7. Suppose -52 = -v - o. Suppose -112 = -4*b - 10*b. What is the lowest common multiple of v and b?
136
Let t(c) = 18*c**2 - c - 1. Let j = 12 + -13. Let y = 57 - 51. Calculate the smallest common multiple of y and t(j).
18
Suppose -5*m - 5*q - 915 = 0, 4*q + 0*q - 396 = 2*m. Calculate the lowest common multiple of 10 and m/(-28) - 4/(-14).
70
Let o(n) = 2*n - 1. Let r be o(-1). Let p be (-997)/(-12*r/174). Let l = 4796 + p. What is the common denominator of 11/6 and l?
6
Let r = -25/7 - -337/14. Let l = 2643779/12 + -220185. Let v = -428/3 + l. Calculate the