 of 1 + 12/(-15) + (-3773)/(-660) and 5/142.
852
Let o = -9 - -17. What is the least common multiple of o and ((-42)/9 - -3)/(26824/(-4464) - -6)?
744
Let u = 354 - 745/2. Find the common denominator of 286/4*(-7)/(-21) and u.
6
Suppose -216*d + 203*d + 1001 = 0. What is the lowest common multiple of d and 280?
3080
Suppose 0 = 2*h + 5*g - 34, 9*g - 2 = 8*g. What is the smallest common multiple of h and 24?
24
Let f be (-6 - -15)*6/27. Suppose 0 = f*z - 6. What is the smallest common multiple of 16 and z/5 + 81/15?
48
Suppose 7*o = 3*o - 3*a - 23, 2*o - 4*a + 28 = 0. Calculate the common denominator of (-154)/o*8/32 and -99/2.
16
Calculate the least common multiple of ((-3)/9)/((-407)/(-102) + -4) and 12.
204
Suppose 2 - 22 = -2*f. Let v(l) be the second derivative of -l**5/10 + l**4 + 5*l**3/2 - l**2 - l. Calculate the lowest common multiple of f and v(7).
10
Let z(o) = 2*o**2 + 13*o + 3. Let b be z(-5). Suppose -112 = 4*m + 4. Find the common denominator of -59/3 and m/(-5 + b/4).
24
Let t = 7 + -5. Suppose 3*d = 5*j - 90, -t*j - d = 4*d - 36. Let c = j - 7. Calculate the lowest common multiple of c and 11.
11
Let z = 104 - -226. Suppose 3*w = -12*w + z. Calculate the lowest common multiple of w and 10.
110
Let w = 1 - 0. What is the lowest common multiple of 714/136 - ((-18)/(-8))/(-3) and -1 + -1*(-3)/w?
6
Let c be 1/(3/(-5 - 1)). Calculate the common denominator of (-3 - 8/c)*22/65 and -55/7.
455
Let j = 3213625/104 + -30900. Calculate the common denominator of -103/26 and j.
104
Let l = -17 - -31. Suppose 0 = q - l + 6. Let f(x) = -x + 17. What is the lowest common multiple of q and f(8)?
72
Let u = 5741/62 + -185/2. Let x = -1/870514 - 104896813/107943736. Let y = u + x. What is the common denominator of y and -19/8?
8
Let b = 9905/72 + -1138/9. Let x = -2130 - -38359/18. Find the common denominator of b and x.
72
Suppose 50 = 8*l - 3*l. Let u be 0 - ((-30)/3 + 4). Calculate the smallest common multiple of (u/4)/(15/l) and 3.
3
Let y be ((-2)/(-6))/((-1)/(-3)). Let r = 18139/2 + -9046. Find the common denominator of -1 - y - (-46)/44 and r.
22
Calculate the common denominator of -2 - 5/((-280)/318) and -87/8.
56
Calculate the least common multiple of 15 and (-5)/(-30)*2*9.
15
Let k be (2 - (-29)/(-1))*221. Let f = k + 35683/6. Find the common denominator of f and 129/44 - -8*4/(-128).
66
Let g = -97 + 137. What is the least common multiple of 8 and g?
40
Suppose 2*k + 90 = -4*b, -4*b + k = -2*k + 65. Calculate the least common multiple of 38/3 - (-12)/(-18) and 2*((-19)/(-4) + (-5)/b).
60
Let u(m) = m**3 - 5*m**2 + 5*m - 3. Let p(s) = -s**2 - 11*s - 6. Calculate the smallest common multiple of p(-9) and u(5).
132
Let k be 1215 + -1 + 2 + 0. Let y = 3411511/414 - 217329/23. Let t = y + k. Find the common denominator of -11/14 and t.
126
Let m be ((-15)/(-2))/5*(-2)/(-3). Calculate the lowest common multiple of 2 - (m - -2) - -2 and 3.
3
Calculate the smallest common multiple of ((-58)/87)/((-1)/210) and 42.
420
Let p = -492553/35 - -14074. Calculate the common denominator of -64/315 and p.
315
Let x(n) = -n**2 + 4*n + 7. Calculate the least common multiple of 24 and x(3).
120
Let q be (-4)/18 - (-204458)/(-4068). Let b = q - 2/113. Calculate the common denominator of b and (-5346)/(-644) - 402/4623.
14
Let r = 104 - 1073/10. What is the common denominator of 346/(-60)*(-1)/2 and r?
60
Find the common denominator of 5/8 and 1*305/(-30)*6/118.
472
Let x be 2/((-2)/7 + (-20)/(-56)). Suppose 3*p = 5 + x. What is the lowest common multiple of p and 18?
198
Let l(f) = f - 2. Let v be l(2). Suppose v = 3*n - 2*n + 2*p + 13, -5*n - 2*p - 41 = 0. What is the common denominator of 7/6 and (-92)/9 - (n + 5)?
18
Suppose -5*z = -m - 234 - 156, -2*z - 4*m = -156. Let i = 2467/70 + -485/14. What is the common denominator of i and ((-4)/(-66))/((-1)/z)?
55
Let u = -115 + 163. Suppose 0 = 2*g - 8*g + u. Let k(p) = p**3 - 3*p**2 - 5*p + 5. Calculate the smallest common multiple of g and k(4).
8
Let d be (-6)/9*9/(-3). Suppose s - d = 2. What is the smallest common multiple of s and 12?
12
Suppose 9*u = -6*u. What is the common denominator of 2/2 - (-744)/(-16) - u and -73/6?
6
Calculate the common denominator of 8/36 - (-44)/18 and 2 - 0 - (-365)/(-150).
30
Suppose 9*s - 7*s = -228. Find the common denominator of s/16 + (22 - 19) and 17/326.
1304
Calculate the common denominator of ((-4)/690)/((-12)/639) and 24/5.
230
Let x(t) be the first derivative of t**4/4 + 7*t**3/3 + 4*t**2 + 12*t + 1. What is the smallest common multiple of 1 - (-14 + 2/2) and x(-5)?
154
Let w = 44 - -33. Let v be (-14)/w - (-152)/(-11). What is the lowest common multiple of (-158)/v + 6/(-21) and 8?
88
Suppose n = 3*n. Let w = 41 - 39. Suppose n = w*y - 7*y + 50. Calculate the least common multiple of y and 5.
10
Suppose 1368 = 11*c + 7*c. Suppose 0 = -80*s + c*s + 56. What is the least common multiple of (-212)/(-18) + (-6)/(-27) and s?
84
Suppose -20 = -4*w - w, -4*v + w = -48. Suppose 8 + 48 = 7*l. Calculate the smallest common multiple of l and v.
104
Let g = -8275 + 248209/30. What is the common denominator of 187/150 and g?
150
Let k = 2780 + -2769. Calculate the least common multiple of 4/(1*(-2)/(-4)) and k.
88
Let f(u) = 6 - 2*u - 5*u + 6*u + 8. Let x be f(-6). Let z = x + -18. What is the smallest common multiple of 18 and z?
18
Let d be (-3 - -6 - 0) + (-543)/(-8). Let s = -73 + d. Find the common denominator of s and 125/(-6)*3/(-9).
72
Let x = -5344169/166 - -32194. What is the common denominator of 99/20 and x?
1660
Let h be ((-3)/4)/(16/(-64)). Suppose -2*c + 2*n + 2293 = 3*n, 0 = h*c + 3*n - 3435. Let i = c - 2209/2. Calculate the common denominator of -21/5 and i.
10
Let j be 25*(1 - 0)/1. Suppose p = -i - 14, 0 = -5*i + 3*p - 34 + 4. Let v = i + j. What is the lowest common multiple of v and 2?
16
Let u = 139 - 104. Calculate the smallest common multiple of 63 and u.
315
Let d = 1/111 + -3454/1443. Find the common denominator of -48/143 and d.
143
Let w = 24001/12 + -2004. Let c = 2656 - 42527/16. Calculate the common denominator of w and c.
48
Suppose -2*z - 26 = 3*l - 0*z, 4*l = 3*z - 46. Let p be (-25)/l*12/(-10). What is the common denominator of 73/12 and -4 - ((-393)/36 - p)?
12
Suppose -13*k + 140 + 3006 = 0. Calculate the smallest common multiple of k and 18.
2178
Let a = -1906/5 - -26199/70. Find the common denominator of a and 163/60.
420
Let h = 12483/4 - 3101. What is the common denominator of (-2)/4*(-1)/(-12)*250 and h?
12
Suppose 0 = c - 4, -14 = 5*r + 5*c - 49. Calculate the smallest common multiple of (r - -1) + 1*-2 and 2.
2
Let o = -5560996/1017 + 5468. What is the common denominator of -65/9 and o?
1017
Let l = -110/21 + 40/21. Find the common denominator of 408/(-54) + (-2)/4 and l.
18
Let l = 17 - 8. Suppose 0 = -2*x, k + l = 2*k - 4*x. Suppose h - 12 = -5*s, 0 = 5*s - 8*s - 3*h. What is the least common multiple of k and s?
9
Let s = -34/2229 + -11909/14860. Calculate the common denominator of s and 39/80.
240
Let n(q) = q**2 + 6*q - 11. Let h be n(-7). Calculate the smallest common multiple of 10 and (10 - (1 - h))/(15/18).
30
Suppose -9*f - 36 = -225. Calculate the lowest common multiple of 282 and f.
1974
Let h(x) = -x**3 - 15*x**2 - 3*x - 17. Suppose 2*z - 3*z = 4*j + 64, 0 = j + 2*z + 23. What is the least common multiple of h(j) and 20?
140
What is the common denominator of -61/5 and 1/5*-1*(-300)/592?
740
Let w(h) = h**2 + 6*h - 8. Let b be w(-6). Let l(r) = r**2 + 5*r - 4. Calculate the lowest common multiple of l(b) and 2.
20
Let b = 2729/4 + -676. Calculate the common denominator of 17/8 and b.
8
Let w = -15 - -119/6. Calculate the common denominator of w and 33/4.
12
Suppose -5*c = 2*p - 5*p - 7, -p - c - 5 = 0. Let s be ((-73264)/(-28))/p*-1. Let g = s + -656. What is the common denominator of 43/10 and g?
70
Suppose -4*h = -0*h - 96. Suppose u + 0*u = 3*t - 5, -3*t + 55 = 4*u. What is the smallest common multiple of h and u?
120
Let o be (9/(-6))/((-15)/20). Suppose -2*v - 12 = o*v. What is the common denominator of ((-81)/(-21) - v) + -4 and 21/4?
28
Let t = -80 + 82. Suppose -5*c - t*k + 22 = 0, 0*c = -5*c + 5*k + 50. Calculate the smallest common multiple of c and 27.
54
Suppose v - 6*v = -320. Calculate the common deno