(i). Let x = 0 + b. What is the smallest common multiple of x and 8?
24
Suppose 3*u = -u + 28. Calculate the lowest common multiple of u and 5.
35
What is the common denominator of (-109)/(-4) - (17 - 13) and 15/34?
68
Let n = 2 + -124. Let v = -246839/22 + 11217. Calculate the common denominator of ((-2)/(-16))/((-4)/n) and v.
176
Find the common denominator of (-18)/81*118/4 and 97/18.
18
Let t(p) be the second derivative of p**4/12 + p**3/3 - 3*p**2 - 4*p. Let b be t(-6). Find the common denominator of 71/6 and (6/16)/(b/183).
48
What is the common denominator of -35/8 and 0 + -3 + 234/12?
8
Let o = 43 - 22. What is the lowest common multiple of 6 and o?
42
Suppose -g = 5 + 14. Let x = 23 + g. Suppose 4*w - 47 = w + 4*c, -2*c = -3*w + 37. What is the lowest common multiple of w and x?
36
Let t = 34 - -14. Suppose 4*u = 7*u - t. Calculate the lowest common multiple of u and 2.
16
What is the common denominator of 5005/470 + -5 + -5 and -43/12?
564
Find the common denominator of 51/(-72)*(-6)/4 and -29/36.
144
Let u = 46 - 30. Let b = -6 + u. What is the least common multiple of b and 1?
10
Suppose -2*l = 3*l + 460. What is the common denominator of -37/8 and l/8 + 1 + -2?
8
Suppose 3*w - l + 21 = 2*l, 4*w + 4*l + 12 = 0. Let j(o) = -o + 2. Calculate the smallest common multiple of j(w) and 1.
7
Let p = -18507/11650 + 2/233. Find the common denominator of -87/20 and p.
100
Suppose -7 + 2 = -q + i, 0 = 5*q - 4*i - 25. Suppose n - 16 = -q. Let a = 13 + -7. What is the least common multiple of a and n?
66
Let d = 2 + -4. Let p = 4 + d. What is the common denominator of p/(-9) + (-70)/(-9) and 63/8?
72
Let s be (-295)/(-15) + (-1)/(-3). Let o = 28 - s. What is the lowest common multiple of o and 4?
8
Let u = -18 - -40. What is the smallest common multiple of (-106)/(-9) + (-8)/(-36) and u?
132
Suppose 0*o - 596 = -4*o. Suppose 4*h = -17 + o. Suppose -4*l + 55 + h = 0. What is the smallest common multiple of 20 and l?
220
Let q = -41817/110 + 1906/5. Let x(n) = -n**3 + 6*n**2 + 2*n - 6. Let j be x(7). Calculate the common denominator of q and (1 - 34/32)*j.
176
Calculate the least common multiple of 21 and 50/(-6)*(-18)/10.
105
Let v(n) = 2*n. Suppose 3*b + 37 = 136. Suppose b = 5*t - 37. What is the smallest common multiple of v(5) and t?
70
Suppose 0 = -j - 9 + 11. Let d = 8 - 5. Calculate the smallest common multiple of d and j.
6
Let j be (-1 - 10)/((-11)/55). Suppose 5*l = 4*z - 0*l - j, -4*l - 12 = 0. What is the lowest common multiple of z and 20?
20
Let l(q) = 3*q + 4. Let f(h) = -7*h - 8. Let g(r) = 4*f(r) + 9*l(r). Calculate the smallest common multiple of g(-4) and 8.
8
Let l(d) = d**2 + 4*d - 20. What is the least common multiple of l(-12) and 20?
380
Let u = 3084 + -18433/6. Let r be 3*(-6)/(-27)*6. What is the common denominator of 104/3*r/16 and u?
6
Suppose 2*l = l + 5*z + 65, 2*l - 3*z - 144 = 0. Let y = -118 - -65. Let w = y + l. Calculate the lowest common multiple of w and 2.
22
Let f(t) = -t**3 - 9*t**2 - 10*t - 6. Let k be f(-8). Suppose 4*j = -8, k + 109 = -3*v - j. What is the common denominator of v/15 - (-3 + 1) and 47/11?
55
Let h = 28959/10 - 2890. Calculate the common denominator of h and 56/9.
90
Let g = -4752 - -76101/16. What is the common denominator of g and 94/(-44) + 0/1?
176
Suppose 0 = -5*b + 7*b - 8. What is the lowest common multiple of b and ((-21)/(-4))/((-6)/(-16))?
28
Let m = 4701 + -56495/12. Let x = 26 - 16. Calculate the common denominator of m and ((-36)/x)/(4/(-25)).
12
Suppose -6 = 3*t - 3*s, -t + 0*s - 14 = -4*s. Let l = -162 - -96. Calculate the lowest common multiple of 6/9*l/(-4) and t.
22
Let r be (3 - 0) + (-4207)/6. Let q = -674 - r. Calculate the common denominator of 122/(-4) + 2 + -3 and q.
6
Let x = 27 - 213/7. What is the common denominator of 47/13 and x?
91
Let u be 14/8 - 1/(-4). Suppose -u*p + 320 = -4*p. Find the common denominator of 22/3 and (-1112)/p - (-2)/(-8).
30
Suppose -3*l - 1 = -10. Let n(m) = -m - 8. Let k be n(-9). Calculate the least common multiple of l and (4 - 5)/(k/(-9)).
9
Let j = -2 - -2. Suppose -7*w + 2*w + 10 = j. What is the lowest common multiple of -1 + (-2 - 0) + 6 and w?
6
Let m(t) = -t**2 - 9*t + 2. Let p = 10 - 19. What is the smallest common multiple of m(p) and 3?
6
Let l = -4181 - -16817/4. What is the common denominator of 5*(-77)/(-7260) + 4/(-6) and l?
44
Let u = 21 - 18. What is the least common multiple of u and 7?
21
Find the common denominator of ((-54)/4)/(18/42) and (4/(-20))/((-1)/48).
10
Find the common denominator of ((-45)/6)/5*(-380)/48 and 45/14.
56
Suppose 3*k - 5*l = -86 + 11, 3*k + 5*l + 45 = 0. Let m = 1 - k. Suppose -4*q + m = -15. What is the least common multiple of q and 6?
18
Let d = -609 + 297. Let v = -899/3 - d. Find the common denominator of -38/3 and v.
3
Let a(m) = m**2 + 8*m + 17. Calculate the lowest common multiple of a(-6) and 55.
55
Suppose -2 = x - 5*c - 26, 0 = -x + 2*c + 12. Let q be 2/x - (-91151)/13256. Let v = q + -2/1657. Find the common denominator of v and 29/2.
8
Suppose -z = -2*z + 8. What is the lowest common multiple of z and 3?
24
Let c = 2799 - 22321/8. Find the common denominator of c and 23.
8
Let t be (-14)/(-26)*4/72. Let x = 1613/468 - t. Find the common denominator of x and 29/8.
24
Find the common denominator of -1 and 170/48 - 1/(-3).
8
Let p = 14 - 10. Calculate the least common multiple of p and 7.
28
Suppose -4*q - 31 = -79. Calculate the least common multiple of 20 and q.
60
What is the common denominator of 4/(-32)*968/6 and 3 - (53/9 + -2)?
18
Let k(x) = -x**3 + 4*x**2 + 3*x + 6. Let g be k(5). What is the common denominator of -71/9 and (-1)/g*(-49 - 0)?
36
Calculate the smallest common multiple of 9 and (-108)/(-11) + 2/11.
90
Let q = 1003/120 + 13/24. Let u(i) = i + 8. Let g be u(-5). What is the common denominator of 3/g - (-101)/(-22) and q?
110
Let i = -6 + 8. Suppose 4*f - i - 10 = 0. Let z = 34396/11 - 3130. Calculate the common denominator of z and f.
11
Let p(s) = -12*s - 12. What is the least common multiple of 24 and p(-2)?
24
Calculate the lowest common multiple of 16 + 3*4/(-6) and 20.
140
Let g = 13 - 10. Let r be 64/3 + (-1)/3. Suppose -4*s - h - h = -54, -5*h = -g*s + r. Calculate the smallest common multiple of s and 10.
60
Let u = 4389/5 + -872. What is the common denominator of u and -36/73?
365
Let l = 1 + -1. Let n = l + 4. Calculate the common denominator of 4 - n - (-101)/8 and 83/10.
40
Let d = 26 + -22. Suppose -5 = 4*q - 21. Calculate the lowest common multiple of d and q.
4
Suppose 3*z = 5 + 10. Suppose -s = -0*b + z*b - 38, -4*b - s + 30 = 0. Calculate the lowest common multiple of 20 and b.
40
Suppose 5*j + 10 = 0, -5*g - 125 = -2*g - 2*j. Let r = -29 - g. What is the lowest common multiple of 20 and r?
140
Let j = -2893/1090 + -5/109. What is the common denominator of j and (1/(-8))/(3/282)?
20
Let u = -94 - -947/10. Calculate the common denominator of u and 67/4.
20
Let x(j) = 8*j**2 + 3*j - 3. Let k be x(3). Suppose 5*n + k = 3*n. Let a = 6678 + -66669/10. Calculate the common denominator of n and a.
10
Let w = 139 - 67. Calculate the smallest common multiple of (1/2)/(4/w) and 8 + 0/1*1.
72
Let p = 16827/280 + -813/14. Find the common denominator of 67/36 and p.
360
Let o = -3 - -1. Find the common denominator of (2/(-24))/(o/140) and ((-12)/(-8))/(10/(-12)).
30
Let l(b) = -b**2 - 8*b + 4. Calculate the lowest common multiple of 18 and l(-6).
144
Suppose 50779 = 5*o - k, 0*o = -2*o - 5*k + 20317. Let c = o - 121781/12. What is the common denominator of 69/8 and c?
24
Let j = 33209/72 + -3717/8. Let x = -2641/144 + 214/9. Find the common denominator of x and j.
144
Suppose -5*j - 34 = -4*r - 8, -2*r = -5*j - 28. Let p(n) = n**2 + 4*n - 5. What is the lowest common multiple of p(j) and (1 - (-8)/(-3))*-3?
35
Suppose -z + 2*r - 16 = r, 2*z + 28 = 4*r. Let t = -9 - z. What is the lowest common multiple of 8 and t?
72
Let n(s) = 6*s + 1. Let h(f) = 7*f. Let a(o) = -3*h(o) + 2*n(o). What is the smallest common multiple of 20 and a(-2)?
20
Let w(k) = -3*k - 4. Let x be w(-3). Suppose -x*j = -0*j, -3*j = t + 1. What is the common denominator of 302/2*t/(-6) and 89/10?
30
Let j be -22*(1 + 3/(-2)). Let x = j + -15. Calculate the least common multiple of 6 an