 the common denominator of ((-4)/(-6))/((-44)/(-249)) and 89/48 + 32/96.
176
Let h(o) = o**2 - 4*o + 12. Let r be (0 - 4 - -11) + -1. What is the lowest common multiple of 33 and h(r)?
264
Suppose 0 = 2*n - 4*x + 4, -5*n - 2*x + x + 23 = 0. Let g be (-2203)/(-18) + n/36. Let b = g + -74. What is the common denominator of b and 67/2?
2
Let y = -11 - -14. Suppose t = y*m - 1, 0*t - 7 = -3*t - m. Suppose 2 = -t*p + 38. What is the least common multiple of 20 and p?
180
Let y(n) = 3 - n - 3*n + 0 + 0 + 4*n**2. Suppose 0 = -f - 0*f + 7. What is the smallest common multiple of y(1) and f?
21
Let u(y) = -21*y**2 + 0 - 2 + 22*y**2 + y**3 + 4*y. Let m be u(3). What is the common denominator of 63/5 and (-24)/12 - m/8?
20
Let z = 32450217/190 + -170790. Find the common denominator of 19/11 and z.
2090
What is the least common multiple of 6 and (-35)/2*196/(-245)?
42
Let q be (2 - 0) + 7002015/2383632. Let y = 2/49659 - q. What is the common denominator of y and (1/52)/((-2)/(-10)*(-335)/4891)?
208
Find the common denominator of 137/30 and 129/(-4730) + (-2)/4.
330
Let t(v) = 6 + 5*v + 4*v - 10. Suppose 0 = b + 5*b - 120. What is the smallest common multiple of b and t(2)?
140
Let n = 69/8 + -185/8. Let r = -55511/27020 - -6/1351. Calculate the common denominator of r and n.
20
What is the lowest common multiple of (-6)/16 - (-1766)/32*2 and 45?
990
Let l be (72/(-15))/(3/(-10)). Suppose 9*r + l = 11*r. Let z(b) = 2*b**3 - 3*b**2 - 4*b + 3. Calculate the smallest common multiple of r and z(3).
72
Let k = -556 + 5581. Let l = 50361/10 - k. Find the common denominator of -5/7 and l.
70
Let p = 31 + -31. Suppose p = 4*r + 2*r - 48. What is the lowest common multiple of (-9)/2*(-4)/3 and r?
24
Let x = -448 + 468. What is the lowest common multiple of x and 35?
140
Calculate the common denominator of -87/8 and (-4114)/(-204)*(-2)/(-8)*-1.
24
Suppose -p - 84 = -15*p. Calculate the lowest common multiple of 16 and p.
48
Let h = -6 - -78. What is the smallest common multiple of h and 99?
792
Let v = 64/573 - -25799/194820. Calculate the common denominator of v and 89/22.
3740
Let k(o) = -o - 7. Let a be k(-5). Let f = -148 - -153. What is the smallest common multiple of (a/3)/((-2)/3) and f?
5
Suppose 14 = s - 21. Let t = 45 - s. Let q = 44 - 38. What is the lowest common multiple of q and t?
30
Find the common denominator of -103/66 and (2/(-24))/(92/2369).
528
Find the common denominator of (-3225)/630 - ((-24)/(-14) + -2) and 13/22.
66
Let q(c) = -2*c**2 + 5*c + 4. What is the common denominator of (-8)/22 + 157510/(-43890) and q(4)?
21
Let v = -29 + 32. Suppose -v*m + 0 = 2*u - 8, -6 = 3*m. What is the lowest common multiple of (-1 - 1) + 1 + 5 and u?
28
Suppose -x = 2 - 1. Calculate the common denominator of -61/16 and x/((-64)/(-18))*2/1.
16
Let d = 3126560467/395196 + -41/65866. Suppose -47481 = 4*t - 15857. Let h = t + d. Calculate the common denominator of h and 143/18.
36
Let v be ((-2)/90)/((-14)/35). Let k = 121/90 + v. What is the common denominator of -20/11 and k?
55
Let x = -69385/7 + 30530359/3080. What is the common denominator of x and 91/34?
7480
Calculate the smallest common multiple of 8 and (-15)/(150/(-4)) + (-4794)/(-15).
320
Let x = -1171/88 - -90/11. What is the common denominator of x and 27/392?
392
Let t(d) = -1 + 0*d + 0*d - d + d**2 + 20610*d**3 - 20629*d**3. Let r(m) = m**3 - m**2 - 1. Let s be r(0). Calculate the lowest common multiple of 12 and t(s).
60
Let w = -16067 + 2217259/138. Let x = 1316/69 + w. What is the common denominator of x and ((-55)/(-4))/((-4)/8)?
6
Suppose 11*j + 17 = 347. Calculate the lowest common multiple of j and 20.
60
Let o = 72 - 64. Let i be (-2 + (0 - -1))*6. Let h = i + 16. What is the least common multiple of o and h?
40
Calculate the least common multiple of (48/(-60))/((-3)/60) and 62.
496
Let l = -9 - -11. Suppose 4 = -c - l*u, 0*c + 3*c - 3 = -u. Let p = c - 0. What is the least common multiple of 10 and p?
10
Find the common denominator of 4 - (-1089)/1215*-3 and -57/55.
495
What is the smallest common multiple of 32 and (-5 + 3 + -4)*(-2)/1?
96
Suppose -4*o = -2*g + 200, 4*g + 0*o + 2*o = 350. Let c be (-6)/(-5)*3/(-6)*5. Find the common denominator of 1/c - (-560)/g and 10/3.
9
Suppose 3*n = 79 - 55. Calculate the least common multiple of n and 32.
32
Suppose -4*w + 520 = -60*v + 56*v, 2*v = 4*w - 520. What is the least common multiple of 4 and w?
260
Let j(z) = 2*z**2 + 3*z + 1. Suppose 0 = 8*d - 317 - 83. Let v = d - 30. Calculate the least common multiple of j(-3) and v.
20
Let s = -8912807/8 - -1111736. Let l = s - -2362. Calculate the common denominator of l and 16/7.
56
Suppose -19*v + 14*v + 75 = 0. Find the common denominator of 115/6 and ((-3)/v + 1)/((-9)/(-195)).
6
Let v = 1 - 1. Suppose v = 19*i - 18*i + 4. What is the least common multiple of 18 and 8/(5 - (8 + i))?
72
Suppose -5*r + 43 = 2*w, 0*w = w + 2*r - 24. What is the smallest common multiple of w and (1 - (-2 + -2)) + 6/(-2)?
34
Suppose -18*u + 2*u = -1584. Calculate the lowest common multiple of u and 54.
594
Let t = -15959/20 - -798. Find the common denominator of t and -35/68.
340
Let x be (-224)/2*39/18356. Let d = -747320988893/7060 - -105852834. Let w = x - d. What is the common denominator of w and 65/12?
60
Let z(d) = d**3 + 9*d**2 - d - 6. Let b be z(-9). Calculate the common denominator of 85/16 and b/18 + 79/(-33).
176
Let s(n) = 5*n + 23. Let d be 3 - 2 - (23 - -3). Let y = 30 + d. What is the lowest common multiple of y and s(-4)?
15
Let c = -597 - -3463/6. Let k = 77/67 + -3101/1474. Calculate the common denominator of k and c.
66
Let m = 349 - 257. Calculate the lowest common multiple of m and 4.
92
Suppose 2*d = 7*d - 15, 5*d + 27 = 7*b. Let j = 21 + -3. Calculate the lowest common multiple of b and j.
18
Calculate the common denominator of 74/33 and (-7 - (-3840)/550)*(-670)/16.
264
Let f be (-2)/12 + 5540/120. Suppose -f = 4*u + 2. Calculate the lowest common multiple of (u + 2)*(-12)/20 and 2.
6
Let b(c) be the second derivative of c**4/12 - 3*c**3/2 + 21*c**2/2 + 11*c. What is the smallest common multiple of b(6) and (-1 + 15)/(0 + 2)?
21
Let d be (-2 - 252/(-3))*1. Suppose 5*k - d + 27 = 0. Let v = k - 4. What is the lowest common multiple of v and 14?
14
Let a = 4437 - 79837/18. Calculate the common denominator of a and -139/114.
342
Let z = -38 - -36. What is the smallest common multiple of 8 and 72/(-9)*(z - (-17)/(-4))?
200
Suppose -3*a = -4*x + 72, 18 = 4*x - 3*x - 4*a. Calculate the least common multiple of x and 22.
198
Suppose -3*d = -2*d - 2*u + 96, 0 = -4*u - 8. Let x be 4/2 + 2574935/d. Let i = 25742 + x. Calculate the common denominator of i and 69/2.
20
Let h be (-2)/6 - (-3 - (-3143)/1176). Let m = 1/28 - h. What is the common denominator of m and -61/18?
72
Let c = 22151/4 + -775083/140. Find the common denominator of c and 107/50.
350
Let u = 28 - 26. What is the smallest common multiple of u and 256/112 - (-2)/(-7)?
2
Let u be (0/2)/((-20)/(-5)). What is the least common multiple of 2 and 4*3/3 - (u + 0)?
4
Let h be ((-87)/6)/(111/(-24)). Let n = 1403/296 + h. What is the common denominator of n and -97/2?
8
Suppose 92 = 4*t + 2*v, -11 + 5 = 3*v. Calculate the least common multiple of 12 and t.
24
Let w(t) = -t**3 + 9*t**2 - 8*t + 5. Let n = -1 + 7. Suppose -16 = -2*g - y, 2*g - n*y - 16 = -3*y. What is the least common multiple of g and w(8)?
40
Let p = 27338915/319 - 85702. What is the common denominator of p and 55/2?
638
Let g = -25115 - -2938408/117. Calculate the common denominator of g and 41/18.
234
Let v be 26 + 2*(-30)/12. Find the common denominator of -2 - ((-108)/10 - -2) and 2/(-6)*(-154)/v.
45
Suppose -3*y + x = -y - 334, -5*x = -2*y + 326. Suppose -h - y = -4*h. Calculate the least common multiple of h and 8.
56
Let l = 16 - 10. Calculate the lowest common multiple of l and 290/(-15)*(-2 - 1).
174
Suppose -3*k + 6*k = -9, -3*w - 2*k = -102. Let x = 43 - 33. Suppose -x = -2*u + 34. What is the lowest common multiple of u and w?
396
Suppose b = 6*b + 2*r - 8, 3*b - 4*r = -16. What is the common denominator of (-9)/7*(-2 + (-1 - b)) and 45/4?
28
Let k be 2*(1 - (-1 + -3)). Let j be 4/k - (-32)/20. Suppose -12 = -j*m + 2. Calculate the least common multiple of 11 an