
What is the common denominator of -21/2 and 178 + -181 - (-1 - (-2374)/(-1288))?
644
Let r be (5/3)/((-2)/18). Let j = r - -5. What is the common denominator of -19/18 and ((-81)/j)/(5/(-5))?
90
Suppose 4*u + 60 = 4*t, 25 = t - 5*u + 6. Let y(l) = 2*l - 25. Calculate the smallest common multiple of 15 and y(t).
15
Let p = 6474 + -174778/27. Find the common denominator of 19/555 and p.
4995
Suppose 0 = -2*m - 8*i + 3*i + 7, 25 = 5*m + 5*i. Suppose -10 = -5*f - 5*h, f = -4*h + 2*h + 7. What is the least common multiple of m and f/4 - 86/(-8)?
30
Find the common denominator of (-7 - (-74)/20)/4 and -29/80.
80
Let m = 281069/56 + -5020. Let a = -1312 - -2683/2. Find the common denominator of a and m.
56
Let q(y) = -y**3 + 5*y**2 - y + 9. Let m be q(5). What is the common denominator of 183/m*10/(-30) and 47/3?
12
Let f = -1095 - -1101. What is the least common multiple of f and 8?
24
Let z = -1/1064 - -4391/2128. Find the common denominator of z and 33/212.
848
What is the common denominator of 17/5 and (130/26)/((-68)/10)?
170
Let j(p) = -p**3 + 4*p**2 + 5*p - 7. Let c be j(5). Find the common denominator of (-137)/(-14) + c + 4 and 41/2.
14
Let h(n) = 11*n**3 - 2*n + 1. Suppose -c + 2*q + 19 = -2*q, -12 = 3*q. Let r = 4 - c. Calculate the smallest common multiple of h(r) and 9.
90
Let r = 25579 - 613981/24. Calculate the common denominator of r and -67/24.
24
Let d be (-14)/(-138) - ((-10)/3 + 3). Let y = d - -1391/345. Find the common denominator of -48/11 and y.
165
Let c = 108211/14832 + -828/103. Calculate the common denominator of -119/18 and c.
144
Calculate the common denominator of (54/135)/(1264/430) and -57/8.
632
Let d = 137 + -132. Let p(o) = -o + 15. Calculate the lowest common multiple of 42 and p(d).
210
Let f = -1340 - -10733/8. Suppose -2*t = -3*t + 4*l - 10, 4*l = -3*t - 62. What is the common denominator of f and 112/t - 1*-2?
72
Let h = 222221/43140 + -5/4314. Find the common denominator of 47/1350 and h.
2700
Let b = -44 + 90. Suppose -s = 3*t - 14, -3*s - 3*t = 2*s - b. What is the least common multiple of 6 and s?
24
Let j = -115/8 - -89609/6232. Let a = -10718700888857/5453 - -1965652092. Let w = j + a. Find the common denominator of w and -6/11.
77
Let n = 2 + 3. Find the common denominator of 102/(-15) - 1/n and ((-407)/(-1332))/(2 - (-15)/(-6)).
18
Suppose -4*d + 8 = 4*u - 5*d, -3*d = 0. Let r be u/(-4) - (-2296)/5008. Let q = 14867/3756 + r. Calculate the common denominator of 1/12 and q.
12
Let s = -6291 + 1340. Let y be (-6)/(-2) + (-44527)/9. Let f = s - y. Calculate the common denominator of f and -41/2.
18
Let b = -71967 + 6908725/96. Find the common denominator of b and 57/8.
96
Let o = 2788 + -5172. Let a = o + 9587/4. Calculate the common denominator of (17/1)/(2/5) and a.
4
Let w(p) = -p**2 - p + 4. Let q be w(-3). Let j be (9/27)/(-1 - 84/(-81)). What is the smallest common multiple of 97/j - q/9 and 5?
55
Find the common denominator of (3 - (-54)/(-14))*32/9 and 58/21.
21
Suppose -2*t + 10 = -0*t. Suppose -44 = -5*l + 3*s, t*s = -4*l + 2*s + 19. Calculate the least common multiple of l and 29.
203
Let s = -32/7 + -23/70. What is the common denominator of 100/28*(-4 - -2) and s?
70
Let o(u) = -u**3 + 4*u**2 + u + 6. What is the smallest common multiple of 18 and o(3)?
18
Suppose h + 1 = i - 0*h, i + 5*h = -29. Let u = 6 - i. Suppose 20 = 2*g + 77*d - 81*d, 3*g + d - 37 = 0. Calculate the smallest common multiple of g and u.
60
Suppose -h - 4*h + 60 = 0. Let v be (11/22)/((-1)/20). Let p = v + h. Calculate the least common multiple of p and 24.
24
Let q(g) = -3*g**2 - 1. Let w be q(1). What is the least common multiple of 4 and (-1)/(-2) - w/8?
4
Suppose 0 = -3*q - 296 + 272. What is the common denominator of 7/30 and 3/(-6)*-2 - (-87)/q?
120
Let i = -2 - -7. Suppose 0 = -6*a + a, -i*x + 130 = 4*a. Let p = x + -16. What is the lowest common multiple of 8 and p?
40
Suppose 18*m - 105 = 3. Calculate the common denominator of 49/3 and (54/72)/(m/10).
12
Let g(a) = a**2 + 2*a. Let t be (-1 - 24) + (5 - 6). Let d = -30 - t. Calculate the smallest common multiple of g(d) and 16.
16
Suppose 169 = 3*x + 2*u, 228 = 7*x - 3*x + 4*u. Let r = x - 46. Calculate the smallest common multiple of r and 21.
63
Suppose 2*d - 3*h - 16 = -h, -3*h = -5*d + 42. Let m be -2 + -3 + 1 - -4. Let w(y) = y + 11. What is the least common multiple of d and w(m)?
99
Let i(a) = 4*a**2 + a + 12. Let o be i(5). Calculate the common denominator of 1 - (-4 - o/(-6)) and 103/100.
100
Let j = -887/330 + 356/33. Let h = -656/61 - -1/244. Calculate the common denominator of h and j.
20
Let l = 262683425 - 406303223467907/1546741. Let o = l + 21063297939/3093482. Let a = o - 6817. What is the common denominator of 19/40 and a?
280
Let g(k) = -k**3 - 39*k**2 + 36*k - 108. What is the least common multiple of g(-40) and 12?
156
Calculate the common denominator of ((-2)/(-15))/(2 - (-126)/(-75)) and 4/(-20) + (-511)/(-80).
48
Let l = -1009 + 1025. Calculate the least common multiple of l and 24.
48
Let v be -8 + 6 - (0 + 4364). Let s = -2556 - v. Let d = s + -3687/2. Find the common denominator of -37/14 and d.
14
Suppose 2*u + 3*m - 307 = 50, -3*u = -m - 541. Calculate the smallest common multiple of u and 10.
180
Find the common denominator of 0 + (-7)/(-21) - 128/(-126) and 13/14.
126
Suppose 10 = -h + 5*w - 37, -3*w + 105 = -3*h. Let u = 34 + h. What is the least common multiple of 6 and (-7 + 29)*2/u?
66
What is the common denominator of 1015/(-4056) - (2 + 51/(-24)) and 145/18?
3042
Suppose -4*w - 16 + 64 = 0. Let n(i) = 8 + 4*i - w - i**2 + 3*i. Calculate the least common multiple of 14 and n(5).
42
Let k(f) = f**3 + 4*f**2 + 2*f - 2. Let v be k(-4). Suppose -2*o = -3*a - 12 - 10, a + 12 = o. Let i = o + v. What is the smallest common multiple of 8 and i?
8
Let y = -10348/9 - -1147. Let i = -1/5847 - -152672/1949. Let h = 76 - i. What is the common denominator of h and y?
9
Suppose -2*y + y + 5*b = -15, -3*b = -3. Let f be (7 + 3)/(0 - 2). Calculate the least common multiple of y and (1 + f)*6/(-4).
60
Suppose -9*u + u + 24 = 0. Suppose -5*f + u*x + 30 = -0*x, 2*f + x = 23. Let m = 14 + -4. What is the lowest common multiple of f and m?
90
Let y be 24*((-6)/(-4) - -1). Suppose 0 = -3*g + 3*z + y, 0 = -5*g + 3*z + 41 + 55. Calculate the lowest common multiple of g and 6.
18
What is the least common multiple of 11 + (-13)/((-117)/306) and 33?
495
Suppose -4*a + 72 = -24. What is the smallest common multiple of a and 20?
120
Let d = 1071 - 2377. Let u be d/4*2/7. Let k = u - -94. What is the common denominator of 97/2 and k?
14
Let d = -32257/2 + 15798. Let j = d + 346. Calculate the common denominator of j and -55/7.
14
Let u be ((4 - 2) + 13)*1. Let w = u - 29. What is the least common multiple of (-1)/(16/w - -1) and 5?
35
Suppose -6*d - 80 - 88 = 0. Let m = d + 169/6. Calculate the common denominator of 43/7 and m.
42
Find the common denominator of 16/(-72) + ((-19825)/(-180))/13 and (-53)/(-10) + (-2)/8.
20
Let t(z) = 97*z**3 - 3*z**2 + 3*z. Let n be (-1)/2 - (-5)/2. Let w be t(n). Calculate the common denominator of 11/40 and (12/30)/(16/w).
40
Let u be (-8)/(-3) + 4/12. Suppose 3*b - 246 = u*z, -2*b = -0*b + 5*z - 199. Suppose -i = 2*i - b. Find the common denominator of i and -59/9.
9
Suppose 8*v - 22 = -14. Calculate the smallest common multiple of 36 and v.
36
Let q be (1/(-315))/(22/209121). Let h = q - -287/10. Calculate the common denominator of 34/33 and h.
231
Let d = -3630587/14 - -259020. Let i = -309 - d. What is the common denominator of i and 63/2?
14
Let h be (-12783)/66 - (-9)/(-6). Let b = h + 194. Calculate the common denominator of b and -15/32.
352
Let r = 79/50 + 127/600. Calculate the common denominator of -59/224 and r.
672
Suppose 3*r + 5*m = 163, -128 = -2*r + 3*m + 6. Suppose 89 - r = t. Calculate the lowest common multiple of 14 and t.
28
Suppose -5*a = 5*i - 70, i + 2*i = 6. Let z(j) = -12*j - 14. Let d = -122 + 120. Calculate the smallest common multiple of a and z(d).
60
Suppose -16*i - 159 + 5759 = 0. What is the least common multiple of 14 and i?
350
Let o be 588/(-33) - (6/(-11))/(-3). Let q = -389/5 - -68. Calculate the common denominator of -2 - 1 - (64/o + 3) and q.
45
Find the common denominator of 7/