y be (0 - (-12)/530)/(-5). Let f = y + 72899/5300. What is the common denominator of f and d?
8
Let o = -56462533/676270634 + -4/664313. What is the common denominator of -41/8 and o?
4072
Suppose 0 = 3*z + u - 11, -2*z = z - u - 19. Suppose 0 = z*j - 20 - 0. Calculate the smallest common multiple of 6/33 + 436/22 and j.
20
Let x = 4195/3 + -1354880/969. Find the common denominator of -31/68 and x.
1292
Suppose 16206 = 5*j - 2*j. Let z = -3114 + j. Find the common denominator of -107/20 and ((-2)/16)/(36/z).
180
Suppose 966 = -5*j - 16*j. What is the common denominator of -87/50 and j?
50
Let f(u) = 6*u + 1. Let t(n) = n**2 - 10*n + 13. Let p be t(3). What is the common denominator of (-7338)/(-468) - p/52 and f(-1)?
6
Let w(g) = 2*g**3 + 15*g**2 + 15*g + 15. Calculate the least common multiple of w(-6) and 42.
462
Let z = 229 + -194. Find the common denominator of z and 8/11.
11
Let w = 740 + -730. Let f = 12 + -6. Calculate the smallest common multiple of w and f.
30
Let c = 472719233801341337/271401 - 1741774104741. Let y = -8/6959 + c. Find the common denominator of y and 41/10.
390
Let b = -4663 - -56045/12. Let t = -507973/126 + 28162/7. What is the common denominator of b and t?
36
Let b(n) = 26*n + 218. Calculate the smallest common multiple of 936 and b(-8).
4680
Suppose -15 = 2*k - 13. What is the smallest common multiple of k + 4/6 + (-126)/(-54) and 4?
4
Let u(l) be the first derivative of l**2/2 + 9*l + 115. Let d = -11 + 18. What is the least common multiple of 20 and u(d)?
80
Let h = 5958094584/12491 + -476991. Let t = 437419/974298 - h. What is the common denominator of -53/20 and t?
780
Let m = -15 + -1. What is the common denominator of ((-44)/m)/((-2)/(-9)) and (-3)/((-295)/340 - -1)?
24
Let y = 108 + -62. Suppose 0 = 3*u - 2*q - 22, q = 2*u + 3*u - y. Let a = 145 - 129. Calculate the least common multiple of u and a.
80
Find the common denominator of (-37)/(-18) + -4*(6 - 5) and 23/186.
558
Let k = -13361/190 + 1148/19. Suppose 2*q = -0*q + 188. Calculate the common denominator of k and 2 + q/18 - 2.
90
Let o(f) be the third derivative of f**4/6 + 32*f**3/3 - 34*f**2. Calculate the smallest common multiple of o(-11) and 6.
60
Let u be -1 + -1*35 + 0. Let x = 45 + -62. Calculate the common denominator of 10*-10*6/u and x.
3
Suppose 75 + 93 = -7*g. Calculate the common denominator of -93/16 and 111/g + 14/8 + -2.
16
Let c = -17/452 + 17477/14012. What is the common denominator of -49/310 and c?
310
Suppose 12*l - 77 = 5*l. Calculate the lowest common multiple of 5 and l.
55
Let q = -1046/3 - -1762/5. Calculate the common denominator of q and -44/45.
45
Let a = 2629/10 - 262. What is the common denominator of 17 + -1 + 5/4 and a?
20
Let a(p) = -p**2 - 51*p - 178. What is the least common multiple of a(-4) and 685?
1370
Let a = -41051/8 - -5121. What is the common denominator of 0 + (-3)/((-18)/(-125)) and a?
24
Let s = 7 - 7. Suppose 2*v = -0*v + 4*u + 32, s = 4*v - 2*u - 34. Suppose 22 = 4*t - 34. Calculate the smallest common multiple of v and t.
42
Suppose 0 = -4*g + 2*o + 28, -3 - 3 = 2*g + 4*o. Suppose t + 2*m - 3 = 6, -g = -t - m. Suppose -t = 2*j - 3. Calculate the least common multiple of j and 10.
10
Suppose 0*g + 4 = 2*u - 3*g, 4*u - 8 = 2*g. Calculate the smallest common multiple of u and (((-6080)/(-72))/19)/(2/9).
20
Find the common denominator of -31/40 and (0 + (-9)/(-15))*(-207)/144.
80
Let b(h) = 11*h + 3. Let n be b(-2). What is the least common multiple of (0 + -1)/(n/209) and 5?
55
Let s = -43/28 - -39/14. Find the common denominator of s and 113/24.
24
Let h = -3/1709 + -209967/136720. Find the common denominator of -83/8 and h.
80
Let f(j) = j**3 + 8*j**2 - 7*j - 12. Suppose -7*b = -4*b + 24. What is the common denominator of f(b) and 31/15?
15
Find the common denominator of 2/(-5) - (52269/560)/19 and 49/18.
144
Suppose 0 = 2*l + 2*l + 72. Let p = l + 28. What is the lowest common multiple of p and 5?
10
Let l = 12 - 102. Calculate the common denominator of 1/(-3) - 116/(-24) and 1/2 - l/(-70).
14
Suppose -10 = -o + 8. Calculate the lowest common multiple of -6 - (80 - 2)*19/(-57) and o.
180
Suppose 28 = 4*o - 2*z, 5*z + 4 - 6 = o. Calculate the smallest common multiple of 11 and o.
88
Let w = 10 + -4. Let g be (60/(-8))/(3/(-28)). Suppose w*y = y + g. What is the least common multiple of y and 20?
140
Let q(u) = -u**2 - 24*u - 15. Calculate the smallest common multiple of 43 and q(-23).
344
Suppose 6*d + d = 7. Suppose -3 + 17 = 4*i - 2*v, 0 = 3*v + 15. What is the smallest common multiple of i and d?
1
Suppose -2*f = t - f - 5, t - 3 = -3*f. Let u(g) = -g + 9. Let c be u(6). What is the lowest common multiple of 20 - 1 - (c + 0) and t?
48
Let d be (-10088)/(-45288) + 4/(-18). Let q = d + -2056/318903. Let f = -15715/338 + q. Find the common denominator of -149/6 and f.
6
Let i = 7256 + -57959/8. Let h = -444/29 + 3978/203. What is the common denominator of i and h?
56
Let j be 1 + (-2 - (-2 - 0)). Let b = -4/55 + -4337/110. Calculate the common denominator of b and (j/3)/((-10)/(-204)).
10
Let d(f) = -22*f + 60. What is the lowest common multiple of 51 and d(0)?
1020
Let j = -285 - -315. Calculate the least common multiple of 234 and j.
1170
Let h(a) = -4*a + 1. Suppose -4*t + 36 = -0*r + 2*r, 4 = r. Let m(n) = n**3 - 6*n**2 - 5*n - 3. What is the lowest common multiple of m(t) and h(-2)?
99
Let d = -9 + 20. Calculate the smallest common multiple of (-22)/(-77) - 6*9/(-7) and d.
88
Let i(g) = g - 11. Let q be i(0). What is the common denominator of 6 + 3*192/(-54) and 7/q + 1 + 1?
33
Let p = 252 + -201. Calculate the least common multiple of 4 and p.
204
Let b = 1 - 51. Let n = 74 + b. What is the least common multiple of n and 20?
120
Let f = 633 + -631. What is the lowest common multiple of 22 and f?
22
Let m be (-3)/2*(-6)/9. Find the common denominator of 5/16 and 60/(-52) + m + 1446/104.
16
Let n = 23 - 13. What is the lowest common multiple of -9*2/(-9)*2 and n?
20
Suppose 489*l = 492*l - 18. Calculate the lowest common multiple of l and 513.
1026
Let r be 6/8 - (-6)/(-8)*1. Suppose -w + 11 + r = 0. Calculate the lowest common multiple of w and 3.
33
Let a(z) = z**2 + 16*z - 31. Suppose -2*j + 29 = 1. What is the least common multiple of a(-21) and j?
518
Let h(u) = -u + 339. Calculate the least common multiple of 297 and h(42).
297
Suppose -4*k - 6 = -7*k. Suppose 4 = b + k. Suppose 7*l - b*l = 30. What is the lowest common multiple of l and 8?
24
Let x be ((-6)/9)/(2/(-3)). What is the lowest common multiple of x/(-4 + (-65)/(-16)) and 14?
112
Let t = -2603/110 + 451/20. Calculate the common denominator of 1191/(-120) - (-9)/30 and t.
88
Suppose 0 = 4*y + 361 + 7. What is the common denominator of (1/2)/((-8)/y) and (-25)/(-16)*(-6)/15?
8
Let c(t) be the first derivative of 15*t**2/2 + t + 1. Let z = -1 - -2. Calculate the smallest common multiple of c(z) and 10.
80
Let a(g) = 2*g**2 + 11*g + 1. Let x be a(-5). Let p be (2 + x)*(0 - -16). Let k = p + 38. What is the lowest common multiple of 6 and k?
6
Let r = 466 + -460. What is the lowest common multiple of 20 and r?
60
Let b = 584 + -582. Let l = 57 - 36. Suppose 0 = 3*x - 0*x - l. What is the lowest common multiple of b and x?
14
Suppose -4*d - 3*s = -0*d + 4, 3*d + 2*s = -2. Let g(y) = y**3 - y**2 + 2*y - 1. Calculate the lowest common multiple of 12 + (-2)/(4/6) and g(d).
63
Let y(k) = k**2 + 2*k - 7. Calculate the smallest common multiple of y(-4) and (-12)/5*(-20)/6.
8
Let b = -22 + -5. Let r = 13 + -9. Calculate the common denominator of b/(-8) + 1/r and 62/3.
24
Let h = -742 - -745. Suppose 1 = 2*j - 5. Suppose -k + j*k = 20. Calculate the least common multiple of k and h.
30
Suppose 0 = -2*b - i + 36, -2*b - 12*i + 16*i = -16. Calculate the least common multiple of b and 128.
128
Let v = 371/46 + -36/23. What is the common denominator of v and -97/18?
18
Suppose 3*k = 12 + 21. What is the smallest common multiple of k and 7?
77
Let v(z) = 30*z + 95. Calculate the lowest common multiple of v(-3) and 6/4*4/3.
10
Let k = 23 - 453/20. Let z be 4 + 180/(-42) + 3432/7. Find the common denominator of k and (4/(-40))/(4/z).
20
Let q(b) be the first derivative of b**3/3 - 3*b**2 + 11*b - 2. Calculate the least common multiple of 16 and q