 - -14261/984. Let l = -16261/132 + 1444/11. Find the common denominator of l and j.
24
Calculate the common denominator of 101/4 and ((-355)/(-1080))/(9/12).
324
Suppose 0 = 4*a - 5*d + 1, d = -2*a - 1 - 10. Find the common denominator of (-1 - 3 - (-202)/34) + a and 7/10.
170
Let t(v) = v**3 - 10*v**2 + 7*v + 4. Let z be t(9). Let x = 19 + z. What is the smallest common multiple of 1 and (3/x)/((-3)/(-60))?
12
Let a = 2/2387 + 416/21483. What is the common denominator of a and 73/3?
99
Let q = -53058/143 + 371. Calculate the common denominator of q and 101/110.
1430
Calculate the common denominator of 81/58 and (0 - (-94)/4)/(-4).
232
Let p(o) = -32*o - 104. Calculate the least common multiple of p(-5) and 48.
336
Suppose -4*r + 0*r - 2*l = -30, -3 = -3*l. Suppose -2*k - 2*c = -6, 0*k + k + 3*c = 5. What is the smallest common multiple of r and k?
14
Let v(q) = -q + 13. Let i = 44 + -33. Let p be v(i). Suppose -9 - 11 = -p*c. Calculate the smallest common multiple of 7 and c.
70
Suppose 0 = -a + 3, 3*c + 0*c = 2*a + 42. What is the least common multiple of c and 84?
336
Suppose 3*w + 26 = 16*w. Find the common denominator of 186/45 + -5 + (-1)/w and -85/18.
90
Let x(d) = -d**3 + 26*d**2 + 5*d - 58. What is the lowest common multiple of 54 and x(26)?
216
Suppose -6*y + 15 = -y. Suppose -95 = -y*k + x, 3*k = -3*x + 90 + 9. Find the common denominator of k and 41/5.
5
What is the smallest common multiple of 44 and 140 + ((-10)/(-40))/(2/32)?
1584
Let x(n) = 86*n + 372. Let b be x(-7). Let g = 3 + -5. Calculate the common denominator of 25/12 and b/(-800) - g/5.
48
Let p = 234355152 - 233886475133/998. Let w = -3110768/499 - -6234. Let f = p - w. Find the common denominator of f and 53/2.
2
Let v be 2 + -1 + 5 + 285375/105. Let g = -2718 + v. Find the common denominator of 53/7 and g.
7
Let x = -569 + 598. What is the smallest common multiple of x and 6?
174
Find the common denominator of -97/16 and -2 - (0 - 6/(-396)*-303).
176
Let n(m) = -7*m**2 - 15*m + 8. Let s be n(-11). Let c = 2196 + s. What is the common denominator of (-18)/117 - c/78 and -111/10?
30
Let n = 1049 + -2041/2. Let d = 6/197 - -6095/394. Find the common denominator of n and d.
2
Let f be 1631/(-12) + 4/(-1). Let h = f - -140. Find the common denominator of -27/16 and h.
48
Let i = 6015 + -84121/14. Let t = -949/322 + 26/161. What is the common denominator of t and i?
14
Let p(i) = 2*i + 9. Let j be p(-4). Let v = 38 - 22. Calculate the least common multiple of v and j/2 + 78/4.
80
Suppose -20*q + 18*q - 4 = 0. Let t = -3358 - -13331/4. Find the common denominator of t and ((-28)/(-560))/(q/355).
8
Suppose -l + 1 = -0*l - 3*i, -i = -1. Suppose -l*m - 5*d + 53 = 0, m - 2*d = 2*m - 17. Suppose -3*g - 6 + 18 = 0. What is the lowest common multiple of m and g?
28
Let u be (((-27)/(-18))/((-2)/4))/(-1). Suppose -u*x = 2*x - 45. What is the smallest common multiple of x and 27?
27
Let o be ((-9)/(-6))/(1/(-4)). Find the common denominator of (-44)/o*1/6 and (480/840)/((-22)/35).
99
Suppose 18 = -4*t + s + s, 0 = 3*t + 3*s. Calculate the common denominator of 4/(-10) + 339/(-30)*t and -16.
2
Let t = 78583/14 + -5616. Find the common denominator of t and (-60)/40 - (-53)/12.
84
Let u(y) = -10*y - 31. Let r be u(-10). Suppose 2*g = -25 + r. Calculate the least common multiple of g and -1*(2*3)/(-1).
66
Let l be ((-15)/40)/((-10)/8). Let x = -107/60 - l. What is the common denominator of -67/10 and x?
60
What is the common denominator of -167/42 and ((-202)/35)/2 - -1?
210
Let r = -4 + -3. Let i be 5*r/((-140)/104). Find the common denominator of -97/14 and (i/(-3))/(88/(-30)).
154
Let r = 428/3 - 5089/36. Calculate the common denominator of r and 25/216.
216
Let t(q) = -q**3 - 2*q**2 + 4*q + 2. Let u be t(-3). Let x be (161 + 4 - -7)*(-6)/8. Find the common denominator of x/42 + 1 + u and -89/14.
14
Let w(x) = -43*x - 24. Let p be w(-22). What is the common denominator of 79/16 and (p/(-180))/1 - (-2)/5?
144
Let j(z) = z**2 - 6*z + 5. Let b = 20601 - 20583. Calculate the smallest common multiple of b and j(7).
36
What is the common denominator of (-14)/49 + (-5)/(5040/(-1247)) and -179/60?
720
Let k(l) = 2*l**3 - 5*l**2 + 4*l - 2. Let w be k(3). Let t = w - -8. Find the common denominator of -21/10 and t/(-45) - (-106)/(-15).
30
Let x be (2 + -10)*(2 - 1). Let o be (2/(-6))/(x/(-120)). Let m(s) = -s**2 - 7*s - 3. What is the lowest common multiple of m(o) and 3?
21
Find the common denominator of 39/20 and ((-24)/(-72))/((-22)/(-291)).
220
Let j = 7925147/144 - 55036. Calculate the common denominator of j and -2/9.
144
Suppose 2*m + 2*p - 173 = 5*p, 0 = -5*m + 4*p + 429. What is the least common multiple of ((-34)/m)/(2/(-10)*1) and 18?
18
Let i be 1*-1*15/(-5). Suppose -4*d + 3 = q - 25, 0 = -i*q - d + 51. Calculate the smallest common multiple of q and 12.
48
Suppose 5*m = 5*r - 875, 44*r - 49*r - 2*m + 896 = 0. Calculate the smallest common multiple of 12 and r.
1068
Let f(j) = -2*j - 14. Let a be f(-10). Suppose -4 + a = y. Calculate the least common multiple of y and 1.
2
What is the common denominator of (146/(-324))/(13/(-39)) and 95/42?
378
Let x be (1 - 2)/(-3)*-69. Let i = x - -43. Find the common denominator of 18/i*(-8)/3 and -101/6.
30
Suppose -2*i = -23 - 17. Let l(c) = -c**2 - 24*c - 126. Calculate the lowest common multiple of i and l(-14).
140
What is the lowest common multiple of 35 and (1904/40)/(4/30)?
1785
Let o = -521 - -474. Let r = 23 + -56. Let b = r - o. What is the lowest common multiple of b and 9?
126
Let q = 12291/700 + -115/7. Calculate the common denominator of q and 103/20.
100
Suppose -257 = -24*k + 20*k + n, 0 = 5*k - 2*n - 325. Calculate the lowest common multiple of k and 3.
63
Suppose 0 = 15*q + 3 - 3. Suppose g + 1 - 18 = 3*o, 3*g - 5*o - 31 = q. Calculate the lowest common multiple of g and 16.
16
Let o = 14/1301 + 52949/36428. Calculate the common denominator of -31/16 and o.
112
Let s be (-144)/40*(0 - 2540). Suppose -1920 = -2*j + s. Let f = -82919/15 + j. What is the common denominator of 28/11 and f?
165
Let y = 327141/220 + -1487. Find the common denominator of y and 25/2.
220
What is the least common multiple of 4 and (-1 - -636)/5*(-4 - -9)?
2540
Let w = 0 + 2. Suppose 0 = 5*u + w*n - 0*n - 110, 5*u - 110 = -5*n. Suppose 4*s - 96 = -4*f, 5*s - 122 = f + u. Calculate the lowest common multiple of s and 4.
28
Let j(x) = -x**2 + x + 2. Let t be j(-3). Let k = t + 19. Calculate the lowest common multiple of 30 and k.
90
Let y be (3 - 3) + 129 + (-8)/2. Let s = -91 + y. Find the common denominator of -46/9 and s.
9
Let m(x) = -x**2 - 21*x - 57. Let g be m(-18). Calculate the common denominator of g + 2 + 263/132 and -103/14.
924
Let u(t) = t - 9. What is the smallest common multiple of 4 and u(23)?
28
Calculate the least common multiple of (-80)/((-15)/(-3))*-5 and 16.
80
Let p(j) = j - 7. Let m be p(9). What is the common denominator of ((920/(-12))/5)/(2/m) and 12/33*9/1?
33
Let t be (1 - 22)/(40/47622). Let a = 25007 + t. Let m = 23939/1038 - -18/173. Calculate the common denominator of a and m.
60
Let i = 2261407/36 + -63958. Let w = i + 4533/4. Find the common denominator of w and -23/5.
45
Suppose r - 252 = -4*q, -5*q - 17*r = -15*r - 315. What is the lowest common multiple of q and 27?
189
Let i be (56 - 4) + 2 + 3. Suppose 0 = -5*q + i + 23. What is the least common multiple of q and (-2)/3*(-12 - 0)?
16
Suppose -s + 15 = i, -i + 74 = 5*s + 19. What is the least common multiple of 1 and 165/25 - 6/s?
6
Suppose 224 = 4*y + 64. Suppose -5*p + p = -y. Let w(t) = 2*t**3 - t**2 + 1. Calculate the lowest common multiple of w(2) and p.
130
Let o(w) = -9*w**3 + 2*w**2 + w - 2. Let m be o(1). Calculate the lowest common multiple of (-2)/1 - 1*m and 18.
18
Let v be (1 - (-7052)/(-6)) + 0. Let n = 1196 + v. What is the common denominator of -57/28 and n?
84
Let f = 1 + 12. Let i(x) = -2*x + 19. Let n be i(8). Suppose -n*s = 9, -2*s + 9 = 5*l - 15. Calculate the lowest common multiple of f and l.
78
Let o = -55 + 65. What is the least common multiple of 2 and o?
10
Suppose -x - 124 = 74. Let c = -1105/6 - x. Let j = -5527/9 - -619. Find the common denominator of j and c.
18
Let b = -360 - -2869/8. Find the common denominator of 101/74 and b.