d + r = -0*d + 19, 0 = d + 2*r - 23. Let y be (60/(-18))/(8/(-12)). Suppose d - 5 = y*x. What is the lowest common multiple of 8 and x?
8
Let i = -28 - -46. Calculate the least common multiple of ((-81)/(-12))/((-9)/(-24)) and i.
18
Suppose -2*q = -5*q - 6, 5*q - 314 = -4*x. Calculate the lowest common multiple of 27 and x.
81
Let b = -278/685 + 150721/261670. Find the common denominator of b and -15/8.
1528
Suppose -44 = -3*n - n + 4*p, -3*p + 33 = 3*n. Suppose -2*t - n + 3 = 0, u = 4*t + 22. Calculate the least common multiple of 5 and u.
30
Suppose -5*p + 91 = 3*l, -4*l - 3*p + 93 = -2*p. Let g(v) = -v**2 + 143*v - 1906. Calculate the least common multiple of g(126) and l.
2596
Let w = -58 - -45. Let g(o) = o - 12. Let j(l) = l + 1. Let u(t) = -g(t) + 2*j(t). What is the lowest common multiple of u(w) and 5?
5
Suppose 52*j = -46*j + 588. Calculate the smallest common multiple of j and 630.
630
Suppose -14*w + 719 = -149. Suppose -3*l - 2*l - 3*u = -102, -5*l - 2*u + 98 = 0. What is the least common multiple of w and l?
558
Let a be (-8)/(-12) - (-688)/(-6). Let f = -3357/142 + 10/71. Calculate the common denominator of f and (a/(-8))/((-35)/20).
14
Let v(h) be the second derivative of h**4/12 - h**3/3 + 5*h**2 - 10*h. Let i be v(-5). What is the common denominator of 303/2*(-3)/i and 89/6?
30
Let m(f) = 2*f**3 + 41. Let n(i) = i**3 + 21. Let l(w) = 3*m(w) - 5*n(w). Let k = 12 + 4. What is the smallest common multiple of k and l(0)?
144
Let y = -74993/2830 + -1/1415. Find the common denominator of y and 37/132.
132
Let s(o) = -o**2 - 8*o + 2. Let p(j) = -j + 17. Let k be p(11). What is the smallest common multiple of s(-6) and 4/k - 242/(-33)?
56
Let y = -2032 + 12235/6. Suppose 4*n + 7 = u, 4*u = 2*n + 11 + 3. Calculate the common denominator of (-134)/(-24) + u + -2 and y.
12
Suppose 0 = -h + 4*h + c - 10, 5*c = 4*h - 26. Let m be (4/(-6))/(h/(-30)). Suppose 32 + 23 = m*q. Calculate the lowest common multiple of 7 and q.
77
Suppose -2*a + 6 = -4. Suppose -6*w - 3*f = -2*w - 85, -a*w - 3*f + 107 = 0. Suppose 610 = -39*l - 36*l + 1660. What is the lowest common multiple of w and l?
154
Suppose g - 275 = -5*a, -4*a - g = 29 - 248. Calculate the least common multiple of a and 88.
616
Let i = 20591/47630 + -24/4763. What is the common denominator of 137/132 and i?
660
Let s = 33 + -30. What is the smallest common multiple of 2 and 14/(s + 0 + -2)?
14
Let r(y) = y**2 + 3*y - 4. Let i be r(-7). Suppose -i = 4*d - 8*d. What is the smallest common multiple of 64 and d?
192
Let u = 36705/32 + -1145. Let b(j) = -j**3 + 5*j**2 + j - 3. Let l be b(5). Find the common denominator of (-2)/(-36)*(-1 + l) and u.
288
Let n = 613/39 + 211/26. Calculate the common denominator of -3/23 and n.
138
Let v be 46/5 + 2/(-10). What is the common denominator of -2 + 2 - 5/(90/49) and 2/(-8) - (v - 8)?
36
Let z be (-90)/4*(-16)/340. Let p = z - 937/34. What is the common denominator of p and 117/10?
10
Let v(p) = -4*p**2 + 2*p. Let x be v(-2). Calculate the lowest common multiple of (5/x - 27/4)*-2 and 12.
84
Let x = 41/6 + 127/24. Calculate the common denominator of x and ((-1)/2)/(417/198 + -2).
56
Let y be 108/(-8)*20/3. Calculate the lowest common multiple of (9/27)/(1/21) and ((-4)/6)/(5/y).
84
Suppose 2*v + 14 = 8, 0 = -4*n + 3*v + 53. Suppose 0 = 3*j + 12, 2*t + 0*j = 5*j + 10. Calculate the smallest common multiple of n and (4/5)/((-1)/t).
44
Let q = 45737/429 - 1164/11. Calculate the common denominator of q and 10/3.
39
Suppose -v + 4*s - 90 = 0, -466 = -0*v + 5*v - 4*s. What is the common denominator of -3/83 and v/(-88) + ((-30)/24)/5?
913
Let n = -51 - -78. Calculate the common denominator of (-123)/21 + (n/(-6) - -4) and -43/20.
140
Let r = 5 - 3. Let z be r/4*(-45 + 1). Calculate the common denominator of -59/6 and 27/(-39)*z/4.
78
Let j = 11347 + 7705. Let v = -35893/2 + j. Let g = v - 1066. Calculate the common denominator of g and 9.
2
Let c = -230313/12284 - 3/3071. Calculate the common denominator of 4329/(-810) + (-4)/(-10) and c.
36
Let f(t) = -10*t + 14. Let k be f(6). Let l = k + 123. Calculate the least common multiple of 11 and (l/(-22))/((-2)/4).
77
Let a = 86 + -58. Suppose -5*l = -118 + a. Find the common denominator of ((-18)/l)/((-24)/(-134)) and -11/4.
12
Suppose -o = -x - 232, -5*x + 928 = o + 3*o. Calculate the lowest common multiple of 24 and o.
696
Let k(h) = -h**3 + 10*h**2 - 4*h - 5. What is the lowest common multiple of k(9) and 8?
40
What is the smallest common multiple of 12 and -4*(-15)/240 + (-1403)/(-4)?
1404
What is the smallest common multiple of 3 and (-4)/(12 + -8) - (-1575 - 2)?
4728
What is the least common multiple of (116 - 111) + 387*1 and 56?
392
Suppose 5*l = 2*f - 23, -f - l - 2 = -3. Find the common denominator of -29/22 and (-6)/147*(-7)/f.
154
Suppose 5*b - 5*j - 125 = 0, 4*b = -7*j + 4*j + 86. Let o be (1*-6971)/(b - 5). Let i = -1163/3 - o. Calculate the common denominator of -29/4 and i.
36
Let t = -40 + 41. Suppose 12*d - 11*d - t = 0. What is the smallest common multiple of 5 and d?
5
Let f = 7 + -5. Let a = 15181/6 - 2506. Calculate the common denominator of (4/f)/((-16)/194) and a.
12
Let c(u) = -u**3 + 5*u**2 + 4. Let q be c(5). Calculate the common denominator of 51/73 and (-147)/(-36) + (-1)/q.
438
Suppose 0 = 2*m - 3*u + 37, 0*m - 2*u - 36 = 3*m. Let d = m - -30. Calculate the least common multiple of 4 and ((-44)/d)/((-1)/4).
44
Let y = 0 - 349. Let m be 1 + 0 + (-15306)/(-44). Let p = m + y. Calculate the common denominator of p and 69/20.
220
Suppose 0*o + 5*o = 415. Let g be 1 + -4 - (-4)/4. What is the common denominator of -35/4 and o/(-2) + g*1?
4
Find the common denominator of (-1085)/2772*-8 - 3 and 163/90.
990
Let x be ((-4)/(-5))/(90/(-493825)). Let j = x - -4385. Calculate the common denominator of -54/11 and j.
99
Suppose 0*x + x - 102 = 0. Let t(y) = -4*y - 2. What is the lowest common multiple of x and t(-2)?
102
Suppose 132 = -105*x + 111*x. Suppose -g - 151 = -5*d, g = 4*d + 53 - 174. Calculate the least common multiple of x and d.
330
Let g = -10440 + 835233/80. What is the common denominator of g and 107/40?
80
Suppose -2*i - 1 = 1. What is the least common multiple of (-133)/(-28) + i/(-4) and 6?
30
Let a be (60/16)/((-3)/(-8)). What is the common denominator of 57/7 and (-59)/a + (-57)/38?
35
Let a = -3 - -19. What is the lowest common multiple of -7 - -27*(-3)/(-9) and a?
16
Let w = 16507/3115 + -6/445. Let z = -274 - -6027/22. Calculate the common denominator of w and z.
154
Suppose a = -3, -4*j + 767 + 251 = -2*a. Calculate the least common multiple of j and 69.
759
Let k(z) = -117*z + 77. What is the lowest common multiple of k(-1) and 18?
1746
Suppose 3*r = -2*r. Suppose -3*n - h = -26, 2*n - 5*h - 8 - 15 = r. Find the common denominator of 55/16 and -3 + n*16/42.
112
Let x = 18661/67 + -835/3. Find the common denominator of -33/2 and x.
402
Let a = -9 + 13. Suppose -a*h = -14 - 6. Suppose 0*l + 7 = -4*r - h*l, -l = -r + 5. What is the least common multiple of r and 1?
2
Suppose -7*h - 30480 = 5*h. Calculate the common denominator of h/2472 - 8/(-6) and 81/22.
2266
Let t = -7077 + 106084/15. Find the common denominator of t and 73/9.
45
Suppose -3*o + 5*q = 2*o, 4*o + 4*q - 16 = 0. Suppose l - 8 = -o. Suppose -2*h = 2, 3*s - 34 = -4*h + 16. What is the lowest common multiple of l and s?
18
Let w = 5835 + -4738023/812. Let p = w + -18467/1624. What is the common denominator of p and ((-4)/6 - 0)/((-10)/(-57))?
40
What is the smallest common multiple of (-4 + 6)/(7/42) and 7?
84
Suppose 0 = -12*y - 87 + 1455. Calculate the least common multiple of 24 and y.
456
Let x = -12167 + 450217/37. Find the common denominator of x and 24/32*(-1 + 91/(-6)).
296
Suppose -5*a - 18 = -68. Calculate the lowest common multiple of 70 and a.
70
Suppose 5*i - 4*b - 1150 = 0, -23*i + b = -18*i - 1165. Calculate the least common multiple of 351 and i.
702
Let r = -12 - -30. Calculate the least common multiple of 30 and r.
90
Find the common denominator of -137/42 and 3/(3 + -6) + (-3604)/(-714).
42
Suppose 3*t + 64 = 5*j + 604, -5*j + 160 = t. Calculate the least common multiple of t and 40.
1400
Let v be (540/(-8))/15*(-202)/6. Let u = 132 - v. What is the common denominator of (-6)/20*33/2 