. Calculate the lowest common multiple of 168 and m.
1848
Suppose 2*o + 65 = -111. What is the common denominator of 59/6 and 5 + -2 + 99/o?
24
Let x = 0 + 2. Suppose -x*r + 5*r = t + 4, -r + 5*t + 6 = 0. Find the common denominator of 67/22 and (r + 165/(-6))/(-8).
176
Let j(m) = -2*m - 1. Suppose 2*s - 2 = 3*s. Let r be j(s). Suppose 0 = -r*u - 0*u + 12. Calculate the smallest common multiple of 7 and u.
28
Let u = -1189 + 61897/52. Find the common denominator of u and -19/28.
364
Let f = -23 + 27. Suppose f*d - 32 = -12. Calculate the lowest common multiple of d and 4.
20
Let c = -20 + 17. Let m = -15 - c. Find the common denominator of -79/20 and ((-32)/m + 1)/4.
60
Let l = 2090 - 2054. Calculate the lowest common multiple of 60 and l.
180
Let d = -2168/35 - -309/5. What is the common denominator of d and (-23)/7*(-1)/3?
21
Let j = -40 - -58. Suppose -3 = 2*t - 47. What is the least common multiple of t and j?
198
Let c(b) = b**2 - 15*b + 22. Let w(u) = 3*u**2 - 44*u + 67. Let o(g) = 8*c(g) - 3*w(g). What is the smallest common multiple of o(9) and (-1)/(-1) - (-9 - -2)?
8
Suppose -3*g = -j - 1, 2*j = -4*g - 0*j + 8. What is the least common multiple of 166 and g?
166
Let h(t) = t**2 + 5*t - 27. What is the least common multiple of h(9) and 99?
99
Suppose -7*l + 192 = -l. What is the common denominator of 95/28 and (-5 + 220/l)*42/(-20)?
112
Let m = -23706 - -213316/9. What is the common denominator of m and (-14)/(-3*(-12)/(-10))?
9
What is the least common multiple of 42 and -3 + -3 - 68/(-2)?
84
Suppose 18 = 8*c + 10. What is the common denominator of -25/33 and (c - 2) + (-1183)/104?
264
Let m = -3929001/188 + 20899. Find the common denominator of m and 77/20.
940
Let o be 6/8 + 17916/48. Suppose o = z + 10*z. Calculate the lowest common multiple of 22 and z.
374
Let t be (3/(-5))/((-3)/(-15)). Let g be 415 - (5 + t - 1). Calculate the common denominator of g/132 + -1*1 and -131/12.
132
Let h(y) = 16*y**2 + y + 11. What is the smallest common multiple of 6 and h(5)?
1248
Suppose 4*y - a - 16 = 3*a, 4*a = -2*y + 2. Let f be 1/y + (-32)/(-12). Suppose -f*r - 2*r = -20. Calculate the least common multiple of r and 3.
12
Calculate the lowest common multiple of 104 and -2 - (-788)/6 - 6/(-9).
520
Suppose 280 = 4*f + 2*q, 0 = -f + 6*f + 5*q - 350. Suppose -8*y = -18*y + f. What is the least common multiple of y and (-5 - -2)*-1 - 2?
7
Let j(a) = -a**2 - 6*a - 1. Let w be j(-5). Suppose 4*r - 16 = w. Let h(t) = -4*t + 36. Calculate the smallest common multiple of r and h(8).
20
Suppose 9*l + 46*l = 220. Calculate the least common multiple of l and (-4)/(-1) + (-1 - -1).
4
Suppose 0 = 4*v + v + 4*q - 110, 5*q + 65 = 5*v. What is the smallest common multiple of v and 9/(-3) + 5/((-40)/(-168))?
18
Let f be (-2)/(-10) + (-32080)/25. Let j = -484973/378 - f. Let l = j + 14347/6426. What is the common denominator of l and -9/4?
68
Let c(p) = -p**3 + 8*p**2 - 3. Let t be c(8). Calculate the least common multiple of 9 and -2 - -3 - t - -17.
63
Suppose -4 = -4*w + 4. Suppose -2*v - 24738 = 2*q + w*q, 0 = q - 4*v + 6171. Let c = q + 74137/12. Calculate the common denominator of c and -61/14.
84
Suppose 17*x = 15*x + 4. Suppose -2*c + 2*o = -0*o + 4, 5*c - 4 = -x*o. Suppose -3*u + 51 + 0 = c. Calculate the common denominator of 89/8 and u.
8
Let p = 109/8 + -305/8. Suppose 3*r = 5*i + 147, -6 = -2*r + 2. What is the common denominator of p and (i/18)/((-9)/(-124))?
6
What is the common denominator of -137/6 and (-40)/8 + 1*(-3508)/(-624)?
156
Suppose -60*c + 21715 = -55*c. Let n = 43519/10 - c. What is the common denominator of -99/14 and n?
70
Suppose -7*s - f = -3*s + 18, 7 = -s + f. What is the lowest common multiple of ((-6)/s)/((-15)/(-175)) and 22?
154
Suppose -1737 = -44*u - 417. What is the smallest common multiple of u and 45?
90
Calculate the smallest common multiple of (-990)/77*(-168)/9 and 20.
240
Find the common denominator of 8/125 and 63/(-140) + 7/7.
500
Let o = -502835/51 + 19721/2. Find the common denominator of o and -5/22.
1122
Let y = -3 - -5. What is the common denominator of 79/6 and (23 - 23)*(-2)/y?
6
What is the common denominator of -45/259 and (-1)/37*((-111)/(-12) - -6)?
1036
Suppose w - 3 = 13. Suppose 4*m + 0*m = 48. Suppose -3*b = m - 54. Calculate the least common multiple of w and b.
112
Let q = 7682901/1498 - 35900/7. Calculate the common denominator of 3 and q.
214
Let h(w) = 2*w**2 - 4*w**3 + 5*w**3 - 2 + 25*w**3 + 1. Let m be h(-1). What is the common denominator of (-67)/(-25)*m/10 and 89/2?
10
Suppose 40 = 3*q - 7*q. Let l be ((-8)/93)/(q/135). Let h = 1703/372 - l. What is the common denominator of h and 109/18?
36
Let x = 1029/10 - 3774/35. Calculate the common denominator of x and -19/8.
56
Let x = -2514/17 - -58931/68. Suppose -y + 2*u - 728 = 0, 2*u + 1305 = -2*y - 139. Let m = y + x. What is the common denominator of -151/12 and m?
12
Find the common denominator of ((-265)/(-10))/(21/2) and (-695)/105 + 9/3.
21
Let b(y) = -y**3 - 2*y**2 + 5*y - 1. Let v(q) = -39*q + 1. Let k be v(-1). Suppose 0 = 3*g + 2*g - k. What is the smallest common multiple of b(-4) and g?
88
Suppose 2*g - 36 = -5*i, 0 = -4*g + 18 - 6. Suppose y + 5 = i. Calculate the least common multiple of 6 and (10/(-6) + y)*-24.
48
Let m(b) = 4*b**3 - b**2. Suppose -z = -2*l + 1 - 0, 3 = -3*z + 3*l. Let t be m(z). What is the common denominator of 3/2 and (5/(40/356))/t?
10
Let a = 38 + -47. Let w(x) = -x**3 - 9*x**2 - 3*x + 1. What is the least common multiple of 8 and w(a)?
56
Suppose -15 = -4*r - 3. What is the common denominator of 262*(-3)/96 + r and -11/9?
144
Let c(q) = q**3 - 18*q**2 + 22*q + 5. Let y be c(17). Calculate the common denominator of (y/(-88))/(3/(-8)) and 10/(-15) + 44/18.
99
Suppose -10 = -2*k, -5*k - 2243 = p - 2*p. Let s = -15829/7 + p. Let q = -16309/716 - -5/179. What is the common denominator of s and q?
28
Suppose -2*q + 5*n = 7, -q - 2*q + 2*n = -17. Suppose -q*j + 10*j - 5 = 0. Calculate the least common multiple of j and 9.
45
Let l be (-7890)/9 + 2 + (-6)/(-9). Suppose -3*b - 97 = 92. Find the common denominator of 81/10 and (-18)/b + l/70.
10
Suppose 5*g = 2*u - 1 - 95, -2*g - 30 = 2*u. What is the common denominator of 2031/(-216) + (-2)/g*-2 and 91/2?
8
Let v(f) = -2*f**2 - 9*f + 5. Let l be v(8). Let p = l - -2309/12. Calculate the common denominator of p and 205/(-42) - (-1)/(-3).
84
Let c be -4 + (17036/2672 - 0). Let t = c - 1/1336. Let q = -136/23 + 1951/46. Find the common denominator of q and t.
8
Suppose 20*h - 2480 = 4*h. Calculate the smallest common multiple of h and 6.
930
Suppose 5*f = -t + 174, f + 2*f - 110 = -2*t. Suppose -2*w + 29 = 5. Calculate the smallest common multiple of w and f.
204
Let h = -20 - -34. Calculate the smallest common multiple of h and (-7 - -8 - -5) + 110.
812
Let u = -52 - -61. Suppose -2*o = u*o - 165. Calculate the smallest common multiple of 12 and o.
60
Calculate the lowest common multiple of (8 + (-2528)/112)/((-3)/28) and 56.
952
Let s = -182410/29313 - -2/3257. What is the common denominator of -83/438 and s?
1314
Let k = -18 + 34. Suppose 5*q - v + 12 = 0, 3*v - k = 4*q - 2. Find the common denominator of (-2)/8 + 50/q and -5/3.
12
Suppose -3*w + 29 = h + 86, 3*h = 5*w + 81. Calculate the common denominator of -76/9 and (84/(-20))/(-7) - w/(-20).
90
Let r(d) = 2*d - 3. Suppose -2*s + 20 = 3*s. Let n be r(s). Suppose -4*h = -2*m - 24, -h - n*m = -4*h + 25. What is the least common multiple of h and 1?
5
Let r be 15/(-2 + -3) + (-3809526)/128. Let n = -29766 - r. What is the common denominator of 69/10 and n?
320
Suppose -x - 15 = x - 3*u, 4*u = 3*x + 20. Let i(m) = m**2 + m + 10. Let p be i(x). Calculate the lowest common multiple of 1 and 3/((-1)/(p/(-3))).
10
Let x = -793741/28 - -28351. Let v = 680/13 - 8147/156. Find the common denominator of x and v.
84
Let g be 6/(-12) + (-1)/(-2). Suppose -4*j + 0*j + 20 = i, -5*j + 20 = g. What is the smallest common multiple of i and 15?
60
Suppose 3*k - 3*r - 24 = 0, 2*k - 7 = 3*k + 2*r. Suppose -108 = -16*g + 4*g. What is the lowest common multiple of g and k?
9
Suppose -3*q - 78 + 96 = 0. Calculate the least common multiple of 240 and q.
240
What is the common denominator of 8 - 25/(1875/860) and 660/(-112) - 2/8?
