52
Let z = 18662 - 373347/20. Let q = 1/7539 + 1432393/128163. Let c = q - 5477/306. What is the common denominator of z and c?
180
Suppose -30 = b + 5*h, -4*b - b + 3*h = 10. Let c be (-4)/b - (-1208)/(-1260). Let o = c - -3/14. What is the common denominator of o and 4/15?
90
Suppose -2*k = -5*y - 2265, 145*y = 147*y - 6. What is the least common multiple of 760 and k?
2280
Let a = 278/103 - 10007/4738. Let b = -911/690 + a. What is the common denominator of b and -47?
15
Suppose 11*w - 8*w - 2478 = 0. Let f = 1619 - w. Calculate the common denominator of -35/8 and f/168 + -5 + 0.
168
Let w(a) = 2*a + 22. Suppose 3*l - 4*r + 6*r - 24 = 0, -l + 5*r = -8. Calculate the smallest common multiple of l and w(3).
56
Let g = -39491/24 - -1645. Let p = 22793 - 1162492/51. What is the common denominator of p and g?
408
Let s = -329 - -19412/59. Let v = s - -587/177. What is the common denominator of v and -29/50?
150
Let q = 73 - 69. What is the common denominator of (((-6)/(-44))/(-3))/(2/(-172)) and 50/q*45/(-27)?
66
Let d = 557 - 462. Suppose d*a = 94*a + 30. Suppose 0 = -0*g + g - 20. Calculate the smallest common multiple of g and a.
60
Let w be 16/62*1/(-6). Let d = 2011/93 - w. Calculate the common denominator of (-1)/((-90)/(-490)) - 2/(-6) and d.
9
Calculate the common denominator of 53/40 and (-4)/14 + (-25)/((-525)/(-918)).
40
Calculate the smallest common multiple of 35 and (-786)/(-8) - 16/64.
490
Let s = 46258258/1611 + -28714. Let d = s + -14006/17721. What is the common denominator of -127/24 and d?
264
Let i(k) = -k**3 - 11*k**2 - 9*k + 10. Let q be i(-8). Let d = -189 - -179. What is the common denominator of -55/6 and (d/20)/(q/146)?
330
Let w = 5368 + -3214. What is the smallest common multiple of w and 4?
4308
Suppose -2*q = -4*m - 0*q - 270, 0 = -3*q + 9. What is the common denominator of 15/44 and (5 - 0 - 2)/(m/112)?
44
Let y(c) = -21*c + 77. Let w be y(4). Calculate the least common multiple of ((-140)/90)/w + (-268)/(-9) and 10.
30
Suppose -12 = -4*o, 5*n - 50 = n + 2*o. Suppose 13*s = n*s - 2. What is the least common multiple of s and 25?
50
Let x(v) = -17*v + 83. Let n be x(-4). Suppose -2*p = -0*y - 4*y - 76, 3*y = -5*p + n. What is the least common multiple of p and 28?
224
Calculate the common denominator of 2/11 + 202/99 and (-1)/(-2) + 23374/16965.
90
Find the common denominator of 73/819 and ((-120)/21)/10*192/312.
819
Let x = -13/12 - -1/3. What is the common denominator of (-306)/80 - ((-7)/28)/(10/(-32)) and x?
8
Let p = 14 + -20. Let u(y) = -y - 4. Let g(j) = 12. Let f(r) = g(r) - 3*u(r). What is the lowest common multiple of f(p) and 22?
66
Let b be 1800075/309150 + 4/10. Let o = -1/2290 + b. What is the common denominator of -25/321 and o?
963
Calculate the common denominator of (18/(-84))/(-51 + -3)*117/(-6) and 79/6672.
46704
Let p = -3/1732 - 4539/4330. Let f = -2095 + 58645/28. Find the common denominator of f and p.
140
Let f(s) = 17 + 4 + 4*s + 4*s - 5*s. Let g be f(-6). Suppose -5*v = 2*o + 2*o - 39, -o - 37 = -g*v. Calculate the least common multiple of 9 and v.
99
Suppose 8*o = 18*o - 41790. Let d = 75145/18 - o. Find the common denominator of d and -47/200.
1800
Let u(o) = 114*o + 758. Calculate the lowest common multiple of 8 and u(24).
13976
Suppose 0 = 6*a + a - 350. Let s = 52 - a. Suppose -y + 26 = s*g + 3*y, 20 = 5*y. What is the lowest common multiple of 7 and g?
35
Suppose -17*a + 6150 = 1084. Let m = 3279/11 - a. Calculate the common denominator of m and 30/73.
803
Suppose -1497*r + 1489*r + 39040 = 0. Calculate the smallest common multiple of 50 and r.
24400
Suppose 3*t = 83 + 10453. Let q be (-11)/55 - t/150. Let w = q - -472/25. Calculate the common denominator of -71/24 and w.
120
Let v = 25 - 23. Suppose -4*m + 44 = k, -k + 3*m = v*k - 177. Calculate the lowest common multiple of k and 24.
168
Suppose 2*h + 78 = -4*n, 18*n = 2*h + 21*n + 77. What is the smallest common multiple of 10 and -2*3/12*(-5 + h)?
210
Let l(a) = 16*a - 86. Suppose 8*x = 19*x - 44. What is the least common multiple of l(18) and x?
404
Let b(j) = 15*j**3 + 2*j**2 + j. Let k be b(-1). Let x be ((-1)/2)/(0 - (-1)/k). Suppose x*i = 14 + 42. What is the least common multiple of 2 and i?
8
Suppose 1301*n - 1254*n - 329658 = 0. Calculate the smallest common multiple of n and 8.
28056
Let p = -2649 - -2694. What is the least common multiple of 20 and p?
180
Find the common denominator of -17/9 and (-137855)/(-18846)*((-4)/14 + (-13)/(-70)).
108
What is the smallest common multiple of ((-508515)/(-42))/(-29)*(1 + -5) and 1169?
11690
Let y = -10 + 4. Let k be 218/(-12) + y/(-36). What is the lowest common multiple of 104 and k/30 - 129/(-15)?
104
Let u(k) = -28*k + 98. Let d be u(-7). Calculate the common denominator of 10/(-4) + d/(-54) and -41/118.
1062
Suppose -4*q + 0*q + 12 = 0. Let k be ((0 - -2)/4)/(14/84). Suppose 6 = 2*x + k*a, x - 4*a + 5*a - 4 = 0. Calculate the least common multiple of x and q.
6
Let q be 8 - 4 - 4 - -1. Suppose -2*j + 4*i + 33 - q = 0, -2*j - i + 27 = 0. Let t = -14 + 21. What is the lowest common multiple of t and j?
14
Let m(v) = -v. Let w(t) be the first derivative of -2*t**2 + 2*t + 29. Let z(p) = -6*m(p) + 2*w(p). What is the lowest common multiple of 20 and z(-3)?
20
Let a be (-1)/((-7)/2 + 3). Let j = 78 + -62. Suppose 0 = 3*p + a*p + 2*c - 40, -c + j = 2*p. What is the smallest common multiple of p and 48?
48
Let m = -668 - -674. Let w(l) = -14*l - 3. Let y be w(3). What is the common denominator of -95/4 and m/(-15) + (-858)/y?
12
Let z(b) = -b + 7. Let s be z(4). Suppose s*d - d = 0. Find the common denominator of d and (-12)/(-10) - 1 - 17168/33640.
29
Suppose v = -q + 59, q - 2*v - 41 = 3. Suppose -11*p + q = -9*p. Let m = p + 0. Calculate the lowest common multiple of m and 9.
27
Let u be (((-10)/6)/(-1))/(11/33). Calculate the lowest common multiple of 9 and u/(-75)*-1299 - 4/(-10).
261
What is the common denominator of ((-1)/(-25))/(26/(-117)) and -1/6?
150
Let u = -5737 - -103333/18. Find the common denominator of u and 41/1598.
14382
Suppose 5*p + 1129 = -3*n - 757, 4*n = -p - 2509. Find the common denominator of -25/8 and n/(-213) + 1 - 4.
568
What is the common denominator of (-1 - 3) + 2618916/650916 and 23/27?
1323
Find the common denominator of -67/990 and ((-7620)/80)/(4 + 536).
7920
Let r(t) = 44*t - 1484. Calculate the least common multiple of r(43) and 153.
1224
Find the common denominator of -79/3796 and (5 - 6 - (-110)/(-4))/30.
18980
Let q(v) = 22*v**2 - 402*v - 66. What is the lowest common multiple of 7 and q(19)?
238
Let h(s) = s - 16. Let q be h(13). What is the least common multiple of ((20/(-25))/(-1))/(q/(-15)) and 80?
80
Let w = -2207/3955 - -34/113. What is the common denominator of w and 3/385?
385
Let u = 1441/30 + -101/2. Let i(d) = 2*d - 12. Let j be i(10). Suppose j = -4*h + 2*h. What is the common denominator of h and u?
15
Suppose 2*w - 4*v - 21 = 109, -245 = -3*w - 4*v. Let o = w + -74. Calculate the smallest common multiple of o and 4/22 - (-42)/11.
4
Suppose -4*f + 0 + 16 = 0. Suppose 0 = -f*g + 110 - 14. Suppose 25*a - g*a = 51. What is the least common multiple of 33 and a?
561
Let d = 1099 + -15313/14. What is the common denominator of d and (-16)/(-4) - ((-812)/(-48))/(-7)?
84
Let p(q) = q**3 + 19*q**2 - 555. Calculate the smallest common multiple of 12 and p(-15).
1380
Suppose -108 = 4*h - 5*w, -3*h - 73 = -2*w + 1. Let u = -8 - h. Let j = 77133 - 77127. What is the lowest common multiple of u and j?
42
Suppose 3*a - 193 - 3218 = 3354. What is the least common multiple of 50 and a?
22550
Let v = -1/514 + 20307/2056. Calculate the common denominator of v and (-17 - (-28965)/1710)/(2/(-14)).
456
What is the common denominator of 2875/(-1725) - (-131)/(-6) and -49/40?
40
Let b = -10 - 2. Let h be ((-3330)/b)/5 - 6/(-4). Find the common denominator of (h/(-10))/(11 + (5 - 1)) and -133/12.
300
Let t = -83 + -15. Let r = t - -140. Calculate the lowest common multiple of r and 49.
294
Let i = -70591/16800 - -646/175. What is the common denominator of 131/48 and i?
96
Suppose 0*y = -3*y - 3*n - 1134, -759 = 2*y - n. Let s = y - -8331/22. Find the common denominator of s and 103/12.
132
Find the common denominator of ((-5718)/72428)/((-6)/(-19)) 