j - 0*j - 32. Find the common denominator of (68 + -6)/(1 + -10) and ((-450)/j*1)/6.
72
Let b be 5/3 + (-3)/(-9). Suppose -3 = -b*a + 7. What is the lowest common multiple of 3/(-5) - (-39)/15 and a?
10
Let f = -16/181 - 11903/2534. Let z be (-6)/9 - 13431/(-1638). Let b = z - 58/13. Find the common denominator of b and f.
14
Suppose 0 = -5*n + 3*n + 44. What is the least common multiple of n and 6?
66
Let k(q) = -2*q - 9. Let t be k(-7). Suppose t*h - 43 = -4*b, -2*h - 3*b + 10 = -10. What is the least common multiple of 5 and h?
35
Let g = 10 + -8. Let r be g/(-12) + 255/18. Let b = 24 - r. Calculate the lowest common multiple of 7 and b.
70
Let x be (100/6)/((-10)/(-15)). Suppose 0 = 5*k - x - 15. What is the lowest common multiple of k and 8?
8
Suppose -3*s + 104 = 374. What is the common denominator of (1/10)/((-12)/s) and -109/10?
20
Suppose -g = -s + 17, 56 = -g - 2*g - 2*s. Let u = g - 30. Calculate the common denominator of 23/7 and u.
7
What is the common denominator of (30/(-9))/(2/(-21)) and -58/7?
7
Let w = -3/488 - 4267/488. Find the common denominator of 35/12 and w.
12
What is the smallest common multiple of 78 and 11 - ((-3 - 2) + 4)?
156
Let i(v) = -v**3 + 13*v**2 - v + 17. What is the smallest common multiple of 10 and i(13)?
20
Let o = 5183/472 - 80/59. What is the common denominator of 1041/240 + (-4)/10 and o?
16
Suppose 2*k = -4*v - 71 - 15, -205 = 5*k + 5*v. Find the common denominator of -2 + k/12 + 0 and 1939/168 + (-2)/12.
8
Suppose 2*d = -16 + 40. What is the least common multiple of d and 24?
24
Suppose 2*l - 66 = -0*l - 5*s, 5*l - 132 = 4*s. What is the smallest common multiple of l and 4/14 - (-680)/119?
84
Find the common denominator of (-12)/(-30) + 658/30 and 12/(2*(-66)/40).
33
Find the common denominator of -23/8 and (-3)/10*(-5240)/(-288).
24
Let a = -74809/12 + 6229. What is the common denominator of -91/76 and a?
228
Suppose s - 32 = -s. What is the least common multiple of 14 and s?
112
Calculate the common denominator of 43/2 and (-1)/(-6)*(-2)/((-48)/1242).
8
What is the least common multiple of 9 and (((-7)/4)/7)/(2/(-56))?
63
Let b = -3098 + 1343. Let n = -28175/16 - b. What is the common denominator of n and -19/8?
16
Let m = -110/1201 - 3560745/2402. Let r = 1514 + m. Calculate the common denominator of r and -11/3.
6
Let h = 2 - -5. Calculate the common denominator of 7/(-14)*(-109)/h and 107/20.
140
Let i = -4 + 34. Calculate the common denominator of i and -43/10.
10
Let f be 11244828/304 + 3/(-12). Let t = f + -36955. Let g = 9463/304 - t. Calculate the common denominator of -29/2 and g.
16
Suppose -5*s - 18 = -v, 2*v = 3*v - 4*s - 15. Let d = -25 + 36. Suppose -2*f + z + 7 = 0, -4*f + d = 3*z - 6*z. What is the least common multiple of v and f?
15
Let s = 10 - 6. Suppose 3*k - 2*t = 28, -4*t = -3*k - 6*t + 20. Calculate the smallest common multiple of s and k.
8
Let c(x) = x**3 + 9*x**2 + 2*x + 2. Let n(p) = -p**2 - 1. Let l(d) = -c(d) - 4*n(d). Let i be l(-5). Find the common denominator of 2 - 0 - 1/i and -125/12.
12
Let f(v) be the third derivative of v**6/120 + v**5/20 - v**4/24 + v**3/6 - 2*v**2. Calculate the smallest common multiple of f(-2) and 2.
14
Calculate the common denominator of 601/90 + (-2)/5 and (6/(-20))/((-77)/35).
198
Suppose -5*i = -7*i + 8. Suppose 0 = 3*m + 2 - 17, -65 = -5*a - i*m. What is the smallest common multiple of a and 9?
9
Suppose 4*l - 6*w - 10 = -5*w, 3*l + w = 4. Suppose -5*t = -t - 4*j + 4, -l*j = -5*t - 8. Find the common denominator of t - 47/(-8) - -2 and 103/10.
40
Let w = 188199/2 + -96505. Let r = -2450 - w. Find the common denominator of r and 11/2.
2
Find the common denominator of (174/(-28) - -1) + 3 and 17/8.
56
Let j be 191/4 + 2/8. Let i be (-3824)/40*2/(-4). Let x = i - j. What is the common denominator of x and 48?
5
Let w(o) = 35*o**2. Let l be w(1). Let g = l + -15. What is the least common multiple of 13 + (-1 - 2*-1) and g?
140
Let f be (-9)/(-12)*-2*-2. Suppose 489 = -f*k - 582. Calculate the common denominator of 1 + k/54 + -2 and -41/10.
90
Calculate the common denominator of 6*12/(-160) + 2 and -15/28.
140
Let h = -2 - -10. Let p = h - 6. What is the least common multiple of p and 4?
4
Let y = -2325 + 18573/8. What is the common denominator of y and (-4)/10 + 86/(-35)?
56
Calculate the common denominator of 148/22*(-4 - 35/(-10)) and 27/19.
209
Suppose 71 = 6*b - 25. What is the smallest common multiple of b and 12?
48
Suppose 0 = -2*i + 25 + 7. What is the least common multiple of 22 and i?
176
Let r be (-16)/(-20) - 2/(-10). Let b be -311*r/(0 - -1). Let t = -1562/5 - b. Find the common denominator of -32/9 and t.
45
Let k(t) = 4*t**2 + 9*t - 8. Let w(d) = -5*d**2 - 10*d + 9. Let a(o) = -7*k(o) - 6*w(o). Let l = -5 + 9. What is the smallest common multiple of a(l) and 20?
220
What is the least common multiple of 20/(-70) - 212/(-7) and 14?
210
Let r = 148 - 121. Calculate the lowest common multiple of r and 24.
216
Suppose 2 + 1 = v, -2*l = -v - 9. Suppose y = f - 27, -2*f - 3*y + l*y = -49. What is the common denominator of -23/3 and 2*(-2)/f*-71?
24
Let q = -50 + 53. What is the lowest common multiple of 48 and q?
48
Let l be (-5205)/(-18) - 2 - 1. Let f = -297 + l. Calculate the common denominator of f and -17/2.
6
What is the least common multiple of 17 and (-84)/(-8) - ((-9)/6 + 2)?
170
Let s = 984 + -3019/3. Let o be (2/4)/(6/(-120)). Find the common denominator of s and ((-155)/o)/(3/2).
3
Let m = 7 - 3. Suppose -o + 55 = m*o. Suppose -4*i = 2*u + 3*u - 8, i - 4*u = 2. Calculate the least common multiple of o and i.
22
Let c(q) = -3 - 2*q + 0 + q**2 + 2*q**2 - q**2. What is the smallest common multiple of -1 - (-2 + 9)/(-1) and c(3)?
18
Let s be 51/9 - (-1)/3. Calculate the common denominator of -51/20 and (-253)/(-12) + s/(-24).
60
Suppose 0 = -2*r + 2*s - 4, -2*s = -5*r + r. Let w be 2 + 2*(-3)/(-6). Suppose -5*k + w = -12. Calculate the least common multiple of k and r.
6
Let u be -2 + 0 - 94975/55. Let i = -1725 - u. What is the common denominator of 97/4 and i?
44
Calculate the common denominator of 4/(-20) + 11/(-45) and ((-4)/12)/((-16)/(-438)).
72
Let c(k) = -3*k**2 + 1 - k + 3 + 4*k**2. Suppose 6*l - 35 = l - 3*a, 0 = 4*l + a - 35. Calculate the lowest common multiple of c(3) and l.
10
Suppose -3*x + 102 = 2*x - h, 3*x - 54 = -3*h. Let p be 3*(0 - (-4)/6). Suppose -p*q = -1 - 3. What is the lowest common multiple of x and q?
20
Suppose 5*n = 17 + 3. Calculate the smallest common multiple of n and 28.
28
Let v be -3 + ((-32)/(-2) - -3). Let t = -10 + v. Suppose 3*j + 0*j = t. What is the least common multiple of j and 4?
4
Let o(b) = -5*b - 2. Let c = -1 + -1. Calculate the lowest common multiple of 16 and o(c).
16
Let p(t) = t**3 - 6*t**2 + 6*t + 5. Let c be p(5). Let s = -6 + c. Suppose -5*z = -44 + s. Calculate the least common multiple of 10 and z.
40
Suppose -5*l + 6*l - 28 = 0. Calculate the common denominator of 11 + -12 + 218/l and -29.
14
Suppose -5*x + 22 = -3*x. Let c be x*(2 + 1 - 2). Calculate the least common multiple of 1 + c*(-2)/(-2) and 12.
12
Let z = -1099 + 6701/6. Let c = -7873/13826 + 18/31. Let a = 22057/1784 + c. Find the common denominator of a and z.
24
Let l = 2743 - 19158/7. What is the common denominator of -83/8 and l?
56
Suppose -3*u - 29 = w, 3*u - 2*u = -4*w - 72. Let h = 12 + w. What is the common denominator of (-14)/h + 1 - 1 and 1/9?
45
Let n be 2/6 - 11002/2340. Let a = n - 88/65. Find the common denominator of a and (-57)/7 + (-5)/(-10).
126
Let w be (-6)/9*(-2 + -1). Let i = -10079/5 - -2008. Find the common denominator of i and (-1)/w - 109/(-10).
5
Let u(x) = -x**2 - 7*x - 4. Let g be u(-5). Suppose 0*w = -2*w + g. Suppose -w*o + 24 = o. Calculate the least common multiple of 2 and o.
6
Suppose 5*a + 11 = a - 5*w, 3 = -w. Calculate the lowest common multiple of a and 6.
6
Let a be (3/(-1322))/(-2 - 10). Let z = -193015/15864 + a. Suppose 0 = -4*f + 14 + 174. What is the common denominator of z and f?
6
Suppose 0*u + 2*v = 4*u + 42, 5*u + 5*v = -75. Let m = u - -20. Suppose -3*x + 5*k = -17, 0 = 4*x + 4*k + 1 - 13. What is the least common multiple of x and m?
8
Suppose -3*r - 5*a = -24, -3*a = -8*a. Let d = -28 - -42. Calculate the least common multiple of r and d.
56
Let