+ 3*i = -24. Calculate the least common multiple of 18 and (15/10)/(g/56).
126
Let j(o) = -33*o**2 + 2*o - 1. Let d be j(-3). What is the common denominator of -97/2 and d/40 - (-1)/5?
10
Suppose 3*a = 2*a + 76. Let c = a - 377/5. Find the common denominator of -16/23 and c.
115
Suppose -n + 3*k = 2*k - 13, 5*n + k = 35. Suppose -17 = -2*q - 7. Suppose 0*u - 5 = -q*u. Calculate the smallest common multiple of u and n.
8
Let d = -1101/5 - -1717/10. Find the common denominator of -29/7 and d.
14
Let o = 62 + -55. What is the smallest common multiple of 2 and o?
14
Let y = -17 - -47. Let u = y + -20. What is the lowest common multiple of 20 and u?
20
Suppose 0*h - 48 = -4*h. Calculate the lowest common multiple of h and 6.
12
Let b be (-2)/(-8) - (-67)/4. Suppose -b - 19 = -2*h. Suppose -4*s + 16 = -k, 2*s = -2*s - 5*k + 16. What is the least common multiple of h and s?
36
Let l(p) = p**2 - p - 32. Let w be l(0). Let v be ((-1100)/(-42))/(w/(-44)). Let i = 226/21 - v. Calculate the common denominator of -23/12 and i.
12
Let w(v) = -25*v - 9. Calculate the smallest common multiple of 2 and w(-3).
66
Calculate the common denominator of (-3 - 777/(-165)) + 2/10 and 32/79.
869
Suppose -4*f + 6*b = b + 3451, -2*b = 4*f + 3486. Find the common denominator of -151/6 and f/(-88) - 1*4.
24
Let i be (4/5)/(14/175). Let u = i - 6. Calculate the smallest common multiple of u and 22.
44
Let a be (-12)/(-20) - 8/5. Let g be (-33)/9*(a - -34). Calculate the common denominator of -13/11 and (-4)/6 - g/(-30).
110
Let u = 27 - 13. Let g be -2922*(u/(-3) - -2). Let f = -46859/6 + g. Find the common denominator of f and -31/20.
60
Let j(o) = -o**2 + 7*o - 7. What is the lowest common multiple of j(5) and ((-11)/(-2))/((-5)/(-10))?
33
What is the common denominator of 59/20 and (-130)/(-12) - (-21)/7?
60
What is the smallest common multiple of 288/20 - 2/5 and 20?
140
Suppose -6*k + 16 = -5*k. Calculate the least common multiple of 8 and k.
16
Suppose -4 = -3*l + l. What is the smallest common multiple of l and 10?
10
Let a = 4275 - 94161/22. Calculate the common denominator of a and (-166)/8 + -2 + 1.
44
Let n = 133/45 - 71851/24615. Let x = -53873/7658 - n. Calculate the common denominator of -41/20 and x.
140
Let i = -1 + 8. Let f(c) = 7*c - 3. Suppose -h - 5*o = 3*h + 2, 3*h - 3*o - 12 = 0. Calculate the least common multiple of i and f(h).
77
Let y be 44/10 - (-10)/(-25). Let v = -130/37 - -727/407. What is the common denominator of v and (-3485)/70 - y/(-14)?
22
Let j = -1180/1859 + -8673635/1286428. Let r = j + 3/1384. Find the common denominator of -1/20 and r.
40
Let o = -1 - 3. Calculate the common denominator of 8/13 and o + 33/10 - 2.
130
Suppose h - 9 = -62. Let b = -34 - h. Suppose b = 3*i - 2. Calculate the least common multiple of i and 6.
42
Let l = 78994 - 2132408/27. Let m = l - 3583/108. What is the common denominator of m and 67/2?
4
Let c(w) = 2*w**2 + 10*w - 1. Let t(m) = -3*m**2 - 19*m + 1. Let n(y) = -5*c(y) - 3*t(y). What is the smallest common multiple of 2 and n(6)?
8
Suppose -2*d + 2*a + 16 = 3*a, -3*d = 4*a - 19. What is the smallest common multiple of 8 and d?
72
Let g = -289/6 - -45. Let a = -17/5 + 143/45. Find the common denominator of a and g.
18
Find the common denominator of ((-2)/(-228)*116)/((-4)/(-6)) and 59/8.
152
Suppose 2*c = -3*c - 4*d + 46, -4*c = 2*d - 38. Calculate the least common multiple of 10 and c.
10
Suppose -61 + 6 = -11*b. Calculate the smallest common multiple of 5 and b.
5
Suppose v - 8 = -3*v. Suppose 5*j + 0 = -v*s + 3, -10 = -2*j - 3*s. What is the smallest common multiple of 4/j*(-2)/4 and 8?
8
Let d be 30671/18920 - (-2)/10. Let y = d + -1/344. What is the common denominator of 47/3 and y?
33
Suppose 2*h + 86 + 38 = 0. Let z = -42 - h. Calculate the least common multiple of z and 20.
20
Let s(j) = -j**2 + 11*j - 4. Let x be s(10). Suppose 5*k - v + 0*v - x = 0, 0 = -3*k - v + 10. Calculate the common denominator of 19/22 and (1/(-24))/(k/76).
132
Let c(f) = -f**3 - f**2 - 171. Let a be c(0). Let v be 882/(0 - a/(-6)). Let n = -605/57 - v. What is the common denominator of 50/7 and n?
21
Let s be 833495/(-28)*(-8)/20. Let i = s + -11915. Calculate the common denominator of i and 121/10.
70
Suppose 12 = 4*o + 4. What is the common denominator of o/36*-41 - -2 and -119/20?
180
Let z = 10 + 20. Suppose -2*j = j - z. Suppose 2*h = -4*g, -3*h + 8 = -0*h + 2*g. What is the lowest common multiple of h and j?
20
Let q = -129571/18 + 7190. Calculate the common denominator of q and 41/26.
234
Let g = 79544/37283 + -49/23. Let j = g + -53593/32420. What is the common denominator of -23/18 and j?
180
Let h be 0 + -1 - 2/(-2). Suppose 5*u + l = -h*l - 31, 0 = 4*l + 4. What is the common denominator of (-4*(-15)/(-1200))/((-2)/148) and u?
10
Let k = 1/7 + -186/77. Let h = 4748/11 - 419. Let y = 104/11 - h. What is the common denominator of k and y?
11
Let t = 5837/12 - 480. Let z = -2138/5 + 4307/10. Find the common denominator of z and t.
60
Let l(c) = -c**3 + 11*c**2 - 8*c - 8. Let x be l(9). Calculate the common denominator of 73/14 and -3 - (2 + x/(-8)).
28
Let s(r) = 52*r + 14. Let q(l) = -17*l - 5. Let m(u) = 11*q(u) + 4*s(u). What is the smallest common multiple of m(1) and 14?
154
Let c = -3/3502 + 171625/31518. Find the common denominator of c and 143/24.
72
Let b be 2/8 + 5142/(-20664). Let k = -13787/9471 + b. Let j = -47627/10054 - -9/914. Calculate the common denominator of j and k.
11
Suppose -5*j + 3*n = -45, -3*j + 43 = -2*n - 3*n. Suppose -2*s + 3*s = 1. What is the lowest common multiple of s and j?
6
Suppose w + y - 19 = -0*w, y = 3*w - 65. What is the common denominator of ((-9)/w)/(9/(-96)) and 51/10?
70
Let q = 21021/8 + -2639. Let w = 3 - 7. Let b = 38 - w. Calculate the common denominator of q and b.
8
Let w(j) = j**2 - 9*j - 7. Let k be w(10). Suppose -30 = -k*m + 30. Let i = -17 - -33. Calculate the lowest common multiple of i and m.
80
Suppose -k = -4*k - 3. Let j(c) = c**2 + 7*c + 5. Let g be j(-7). What is the least common multiple of (-4 + g)*(1 - k) and 9?
18
Suppose 0 = 2*a + 33 + 9. Find the common denominator of -37/7 and ((-3)/a)/(2/118).
7
Suppose 0*o - 12 = -2*o. Suppose 2*n - 126 = -12*n. What is the smallest common multiple of o and n?
18
Let w = 4349/699 - -1/2097. Let j = w - 139/18. Calculate the common denominator of j and -37/2.
2
Let t = -1 + -2. Suppose -5*w - v - 1 = 0, -2*v + 3 - 5 = -4*w. Let r = w - t. Calculate the smallest common multiple of r and 9.
9
Let r(i) = i**3 - 3*i**2 - 4*i + 4. Let s be r(4). Find the common denominator of -31/9 and (-230)/36 + 6/s.
9
Suppose 0*r + 5*a = -3*r + 40, 0 = -3*r - a + 32. Calculate the smallest common multiple of r and 22.
110
Let v be (-4)/(-5)*(-140)/2. Suppose 0 = -2*s - 10 + 6. Find the common denominator of -121/10 and (s/v)/((-1)/(-67)).
140
Let v(t) = 7*t + 2. Let u be v(6). Let q be 2/(-11) - 124/u. Let y(b) = b**2 - b - 2. What is the smallest common multiple of y(q) and 18?
90
Let x = 17 - 9. Suppose -67*j - 88 = -78*j. Calculate the least common multiple of j and x.
8
Suppose 4*d = 63 + 317. Find the common denominator of -3/22 and (-2)/(-4)*d - -3.
22
Let p = 1172/9 + -12053/90. Let z = p - -7/2. Find the common denominator of z and -51/4.
20
Let c(l) = -l**3 - 7*l**2 - 8*l - 7. Let f be c(-6). Suppose 19 + 61 = f*z. Calculate the smallest common multiple of z and 2.
16
Let r = -3337/5 + 2653/4. Find the common denominator of 37/9 and r.
180
Let y(i) = 3*i. Let c be y(1). Let q = 3664 + -36721/10. What is the common denominator of q and (23/(-2)*-5)/c?
30
Let q be (-2)/(-1) + (-8 - -1). Let t be (-40)/q - 4/(-2). What is the common denominator of 6/12 + (-11)/t and 40?
5
Let u = 5 + -3. What is the common denominator of 402/(-24) + (-1 - u) and 83/20?
20
Let w = 1 - 1. Suppose w = 5*h - h. Find the common denominator of -44/3 and h + 1 + (-62)/(-3).
3
Let m(v) = 2*v - 1. Let z be m(1). Suppose 0 = -o - z + 4. What is the least common multiple of 9 and o - -1 - 2/(-2)?
45
Let p = -32 + 64. What is the common denominator of (-122)/p - (-3 + 1) and ((-143)/15)/((-8)/(-10))?
48
Calculate the common denominator of 423/30 - (3 - -1) and -1/8.
40
Let w = 1730 - 5137/3. Find the common denominator of -28/23 and w.
69
Let k