 583. Let k = b + -933/2. Find the common denominator of 3*(1 + (-87)/(-18)) and k.
2
Let v be (3 - 2)*4 + 1. Let z = 11 + v. Suppose z = 2*o + 12. What is the smallest common multiple of 4 and o?
4
Let s = 119885/18 + -6658. Let t(b) = 45*b - 10. Let d be t(-5). Calculate the common denominator of (-1 - d)*3/(-60) and s.
90
Let g(o) = 8*o + 3. Let w be g(6). Let q = -35 + w. Suppose -a = 5 - q. Calculate the lowest common multiple of 1 and a.
11
Let p = 253034006/3 - 334511072893/3966. Let d = p - 6/661. Find the common denominator of (-4226)/204 - 4/34 and d.
6
Let r(u) = 8*u + 16. Let c be r(-6). Let n = 54 + c. Calculate the smallest common multiple of 14 and n.
154
What is the common denominator of 127/30 and 3951/(-486) + 1 + 5?
270
Calculate the common denominator of (-4)/(-8)*5*413/(-140) and -8/9.
72
Let v = 66 - 27. Let w = v - 38. Suppose -5*k + w + 19 = 0. Calculate the lowest common multiple of k and 6.
12
Let y = 11895 + -9527896/801. Find the common denominator of 56/3 and y.
801
Let d(h) be the first derivative of h**2 - 48*h + 22. Suppose -3*g + 33 = 3*r, 3*g - r - 36 = -5*r. Calculate the least common multiple of g and d(26).
8
Suppose -206*t + 209*t - 48 = 5*h, 0 = -t + 3*h + 16. What is the lowest common multiple of 48 and t?
48
Let y = 5083/48 - 106. Calculate the common denominator of y and 27/14.
336
What is the smallest common multiple of (12/(-30))/((-5)/250) and 72?
360
Suppose 12*f - 201 = 123. What is the least common multiple of f and 27?
27
Find the common denominator of 85/8 and (-10 - -16)*13/(-332).
664
Suppose -7*u + 729 = 2*u. What is the least common multiple of 99 and u?
891
Let u be ((-399)/(-63))/(1/(-3)). Let m = -16 - u. What is the smallest common multiple of 4 and m?
12
Suppose 0 = 3*w + 99 - 516. Let d = -127 + w. Suppose 17 - 83 = -3*t. What is the least common multiple of d and t?
132
Suppose 966 = -13*s + 20*s. Calculate the least common multiple of 27 and s.
1242
Let d(g) = -g**2 - 3*g + 16. Let r be d(8). Let h be 28/8*r/(-14). What is the common denominator of 57/h - (1 + 2) and -83/16?
48
Let y be (12/36)/((-14)/(-6) - 2). Let m = y - -26. Calculate the least common multiple of 15 and m.
135
Let l(f) = -12*f**2 - 2*f + 6. Let n(o) = -o**3 + 8*o**2 - 9*o + 3. Let x be n(6). Suppose 21 + x = 3*z. Calculate the lowest common multiple of z and l(0).
42
Find the common denominator of (-6)/(-9) + 1*(-7)/(-18) and -71/270.
270
Suppose 49 = 2*s + 3*s + x, -25 = -3*s - 5*x. Let z(f) = -f + 3. Let i be z(8). Calculate the lowest common multiple of s and -1 + i/1 + 28.
110
Let w = 236 - 218. Suppose -9 = -2*t + 57. What is the least common multiple of t and w?
198
Let u(b) = -b**3 + 4*b**2 - 2*b - 1. Let d be u(3). Suppose 0 = -2*z - d*z + 160. What is the common denominator of 3/6 - (-468)/z and -38/9?
45
Let l = -445 + 463. What is the least common multiple of l and ((-6)/(-4))/((-2)/(-4))?
18
Suppose 3*b = -f + 1697, -5*b - 2*f + 6*f + 2834 = 0. Calculate the least common multiple of b and 16.
4528
Let q = 40/53 + -1405/106. Calculate the common denominator of (-73)/12 - 6/(-24) and q.
6
Let o = 15 - 9. Suppose j + o = 21. Calculate the lowest common multiple of 2/((6/j)/1) and 9.
45
Let h be (0 + 1)/11 - -1. Let k = h + -421/33. What is the common denominator of 498/(-187) + (-54)/(-459) and k?
33
Let l = -2/8135 + -52058/24405. What is the common denominator of l and (-345)/(-10)*(-6)/(-63)?
105
Find the common denominator of (-28)/384*(2 - 111/7) and 47/16.
96
Suppose 5*t = -3*c - 0*t + 580, 2*c = -3*t + 385. What is the smallest common multiple of 50 and c?
1850
Let m = 2307 - 1897. Calculate the least common multiple of 328 and m.
1640
Let z = -3402 - -1613. Let n = z + 91244/51. Calculate the common denominator of n and 59/18.
306
Suppose -5*b + 3*b = 4*c - 6, -5*c + 2*b = -12. Suppose -2*o + c = -2*g - 4*o, 5 = 5*g + 3*o. What is the smallest common multiple of g and (-3 - 3)/(6/(-4))?
4
Suppose 0 = 5*x - 14*x - 6570. Calculate the common denominator of 19/6 and (-15)/(-20) - (x/(-72) - 2).
18
Calculate the common denominator of 101/256 and (-1900)/360*15/(-25).
768
Let b(z) = -2*z**3 - z**2 + 1. Suppose w = 59 + 37. Suppose -2*q = 3*y - w + 26, 3*q = -5*y + 118. What is the lowest common multiple of y and b(-1)?
26
Let w = -42 + 59. Suppose -f = -2*f - w. Let u = f + 29. What is the smallest common multiple of 10 and u?
60
Let g be 62/(((-24)/(-108))/(1 - -1)). Calculate the common denominator of ((-1)/(-4))/((-3)/g) and -43/8.
8
Suppose 0 = -5*r - 4*s + 10, 0*s + 2*s = 5*r - 10. Let x = -22 + 42. What is the smallest common multiple of x and r?
20
Calculate the common denominator of -2 + 1 + 183/39 and 1358/130 - (-74)/481.
65
Let d = 1/22220230 - -391992632477/233312415. Let q = d + -5020/3. Calculate the common denominator of q and 85/8.
56
Let r be 58*(-5)/90 - (-6)/27. Find the common denominator of 2/r*1989/238 and 27/10.
70
Suppose -3*d - 132 = -24. Let b be ((-9)/d)/(2/(-8)). What is the common denominator of 63/5 and (35/(-168))/(b/(-3))?
40
What is the least common multiple of 90 and (-2)/14 - 948/(-21)?
90
Let a = 25522/5 - 2602879/510. Find the common denominator of a and 2/17.
102
Suppose 13*f - 3 = 10. What is the smallest common multiple of 16 and f + -5 - 0 - -10?
48
Suppose -2*o + 0 = -n - 10, 0 = -3*n. Suppose 5*u - 90 = 4*b, 3*u = -2*b + 79 - 25. Calculate the smallest common multiple of o and u.
90
Let m = 47 - 32. Suppose -m*z + 11*z - 44 = 0. Let p = -8 - z. Calculate the least common multiple of 8 and p.
24
Let u = -28 - -27. What is the least common multiple of (9/2)/(u/(-4)) and 3/9 - (-106)/6?
18
Find the common denominator of 27/34 and 8/22*10/((-80)/(-28)).
374
Let f = -44621 - -81790295/1833. Let u = f - -29318/9165. What is the common denominator of (54/5 - 1)*1 and u?
5
Suppose -25 = 28*z - 305. Calculate the smallest common multiple of 214 and z.
1070
Let i = 7656 + -153053/20. What is the common denominator of -47/68 and i?
340
Let d be ((-5)/10)/((-2)/12). What is the common denominator of -91/4 and d/(-12)*(-164)/(-6)?
12
Let r = -3 - 0. Let w be 12965/(-510) - 2/r. Let x = -7/17 + w. Calculate the common denominator of x and 20/3.
6
Let q = 11 + -6. Suppose q*a - 20 = 3*t, 6*t - 3*a + 12 = t. Suppose -4*i - 50 = -5*k, -5*k + t*i = -3*i - 45. Calculate the least common multiple of 12 and k.
12
Let u(s) = -7*s**2 + 41*s + 12. What is the least common multiple of (0 + 1)/(8/24) and u(6)?
6
Let f(i) = -17*i**3 - 2*i**2 + 2*i + 3. Let a be f(-1). Suppose 5*q = -3*w + 4, 0 = 5*q - 0*q - 3*w - a. What is the smallest common multiple of q and 2?
2
Let k be 49093/(-484) - (1 - 5). Let f = k + 948/11. Find the common denominator of f and 43/5.
20
Suppose 405 = 50*h - 47*h - v, 5*v = -h + 119. Calculate the smallest common multiple of 16 and h.
1072
Let a = 4988/5 + -1003. What is the common denominator of -25/588 and a?
2940
Suppose 2*n + 85 = -3*s - 2*s, 0 = -3*n - 3*s - 141. What is the common denominator of n and -4 + 6/14*(1 - -2)?
7
Suppose -38*t + 748 = -103 + 91. Let p = 20 + -12. What is the lowest common multiple of p and t?
40
Let x = -641 + 4516/7. Let n be 986739/169 - (1 + -6). Let i = -5847 + n. Calculate the common denominator of i and x.
91
Let x(a) = -a**3 - 5*a**2 - a. Let h be x(-6). Suppose 0*p + 40 = 4*u - 4*p, -5*u + 2*p = -44. Find the common denominator of h/33*18/u and -37/4.
44
What is the common denominator of (-1)/((-10)/87)*295/(-1416) and 11/8?
16
Suppose 0 = -241*t + 246*t - 350. What is the smallest common multiple of t and 98?
490
Calculate the common denominator of -9 + 11 - (-171)/(-50) and -81/4.
100
Let c = 175/24 - 185/8. What is the common denominator of c and 50/23?
138
Suppose -4*o + l = -16, -o = l - 3*l - 4. Suppose 0*r = 2*r + o. Let m = r - -22. Calculate the least common multiple of m and 10.
20
Let g = 94/17 + -1681/221. Find the common denominator of g and ((-1)/15)/(6/(-279)).
130
Let i be 5/(-20) - (-31)/(-4). What is the least common multiple of 9 and i/48 - (-38)/12?
9
Suppose -11*a - 4 = -114. Calculate the smallest common multiple of a and 210.
210
Let k(y) be the first derivative of y**4/4 - 5*y**3/3 + y**2/2 + 8*y - 9. Calculate the common denominator of 74/9 and k(6).
9
Suppose 0 = -6*b - 48. Find the commo