e -432 = 25*a - 22*a. What is the common denominator of 0 + 103/(-18) + 0 and (-545)/a - 4/18?
144
Let f(y) = -y**3 + 4*y**2 + 6*y. Let z be f(5). Suppose -z*v - 27 + 127 = 0. Calculate the lowest common multiple of v and ((-18)/1)/((-9)/6).
60
Suppose -5*w = -3*i + 21, -4*i + 3*w + 20 = -w. What is the lowest common multiple of 3 and i?
6
Let v = 344/99 + -15/11. What is the common denominator of -49 and v?
9
Suppose -3*b = -44 - 34. What is the common denominator of -13 and (b/10)/(5/15)?
5
What is the common denominator of (-3)/(-32)*4/(-6) and -187/30?
240
Let s = -2 + 12. What is the smallest common multiple of s and 14?
70
Let j = -530720 - -7957802/15. Let w = -587/3 - j. Find the common denominator of 2*(-61)/4*-1 and w.
10
Let f = 125210/31 + -4040. Find the common denominator of f and -56/5.
155
Let y = -3 - 0. What is the least common multiple of 2 and (-1 - y)*3/1?
6
Let n = -7/15 + 259/30. Find the common denominator of -79/56 and n.
168
Suppose 4*d - b - 20 = -3*b, 34 = 5*d - 2*b. Calculate the least common multiple of d and 10.
30
Let l = 4 - 2. Calculate the least common multiple of (-5 + 0)*(-3 + l) and 1.
5
Let l = 172 + -113. Let i = -39 + l. Suppose 0 = 4*a - 5*c + 8 - 49, -2*a + c = -13. Calculate the lowest common multiple of a and i.
20
Let f be 1757/(-21)*1/(-2). Let o = 42 - f. Calculate the common denominator of 63/10 and o.
30
Suppose -7 + 61 = 2*w. Let b = 6/575 - -30421/5175. Calculate the common denominator of w and b.
9
Let d(i) = -i**2 - 17*i + 27. Calculate the lowest common multiple of d(-17) and 33.
297
Suppose -6*s - 7 + 25 = 0. What is the lowest common multiple of 54 and s?
54
Let z = 19862/7 - 2844. What is the common denominator of ((-1)/16)/(2/4) and z?
56
Let a = 823/5 - 2269/15. Find the common denominator of a and (-4)/28 + 0 + 4.
21
Suppose -2*z + 4*z = -6. Calculate the smallest common multiple of 1 and 6*z/(-2) + -1.
8
Let k = -2192/15 + 8519/60. What is the common denominator of k and 11/20?
20
Suppose 27 = -3*j - 2*f + 3*f, 3*f + 49 = -4*j. Let c(x) = 3*x + 9. Let q be c(j). Let l = q + 37. What is the smallest common multiple of l and 2?
16
Let q = -119 + -21. Find the common denominator of 65/4 and q/16 + (-4)/(-2).
4
Let d(f) = 2*f + 4. Let x be d(-6). Let q(w) = -w**2 - 9*w - 9. Let p be q(x). What is the common denominator of -29/6 and (2/(-33))/(p/54)?
66
Calculate the least common multiple of 1/3 - (-500)/12 and 27.
378
Suppose 3*r + 5 = 5*m, -2*m - 3*r = 3*m - 35. Calculate the smallest common multiple of m and 7.
28
Let w = -100/839 - 78539/52018. Calculate the common denominator of -19/18 and w.
558
Let g(p) = -2*p - 3. Let a be g(-4). Suppose 0*k - 5 = -k + 5*y, -a*k = -5*y - 25. What is the smallest common multiple of k and 9?
45
Suppose 4*a = -3*d + 29, -5*d = 3*a + 2*a - 50. Calculate the smallest common multiple of d and (-10)/(-1) + 3 + -6.
77
Suppose 5*h + 2*j = -15702, 5*j + 6276 = -2*h + 3*j. Let t = -28310/9 - h. Let g = 2275/9 - 23587/90. What is the common denominator of t and g?
90
Let d(u) = 6*u**2 + 4*u - 2. Calculate the smallest common multiple of d(2) and 48.
240
Let q = 3317/14 - 1396/7. Find the common denominator of ((-75)/(-16))/((-9)/(-20)) and q.
12
Calculate the common denominator of 99/4 and -2*166/30 - 4/(-10).
12
Suppose 2*a = a - 2*p + 2, -5*a - p + 10 = 0. Let x(y) = -5*y + 29. What is the lowest common multiple of a and x(5)?
4
Suppose 4*p - 4 = -4*v + 6*p, 0 = 4*p. Calculate the smallest common multiple of 9 and v.
9
Let x(d) = -d**3 - 9*d**2 - 10*d - 5. Let y be x(-8). Suppose -5*i + 20 = -z - y, -3*i = -5*z - 23. Calculate the lowest common multiple of 8 and i.
24
Let a(n) = 9*n + 2. Calculate the smallest common multiple of a(2) and (-14)/(-1) - 0/(-2).
140
Suppose -3884 = -5*n + 3*n. Let v = -17453/9 + n. Calculate the common denominator of 23/4 and v.
36
Suppose 4*s = -10 - 2. Suppose 5*x - 8 = i, -2*i + 5 = 2*x - 3*i. Calculate the smallest common multiple of x and 7 - s/((-6)/(-4)).
9
What is the common denominator of 2/9 and 53/6 - (-5 + 6)?
18
Let x(l) = 11*l - 2. Let p be x(2). Calculate the lowest common multiple of p + -2 + 0 + 0 and 18.
18
Let q(x) = x**2 + x + 6. What is the smallest common multiple of 14 and q(0)?
42
Let r = 1 - -7. Let u = 12 + -10. Calculate the least common multiple of u and r.
8
Find the common denominator of 5 and 35/175 + (111/10 - 1).
10
What is the common denominator of (42/112)/((-30)/(-58)) - 2 and 35/22?
440
Suppose 2*t - 5*t + 4*p + 74 = 0, 5*t - 102 = -4*p. What is the lowest common multiple of 8 and t?
88
Let l(y) = y**3 - 10*y**2 + 10*y - 10. Let r be l(9). Let q = r + 2. Calculate the least common multiple of 5 and q.
5
Let z = 34 - 23. Let b = -13 + 6. Let g = z + b. Calculate the smallest common multiple of g and 22.
44
Let z(y) = 4*y**3 - 2*y**2 + y - 2. Let d be z(2). Let h(n) = n - 2. Let q be h(4). Let k = d - q. What is the least common multiple of k and 22?
22
Let k = 2487 - 19965/8. Find the common denominator of k and 77/20.
40
Suppose -3*y + 79 = 4*b + 9, -2*y - 2*b = -48. What is the smallest common multiple of 10 and y?
130
Suppose -3*m + 0*m + 15 = 0. Suppose -3*o + 8 + 22 = 0. What is the least common multiple of m and o?
10
Find the common denominator of (-73)/15*10/(-4) and ((-3)/12)/(1/(-18)).
6
Calculate the common denominator of 137/6 and 254/(-24) + (-2)/(-6).
12
Let i be -8*(0 - (-3)/3). Calculate the common denominator of 8/9 and (10/i)/(2/(-36)).
18
Let t(l) = 2*l + 11. Calculate the least common multiple of t(-1) and 30.
90
Let w(v) be the first derivative of 2*v**3/3 + 2*v**2 + 2. Let g be w(-3). What is the common denominator of (-2)/g + (-35)/(-6) and -53/7?
14
Let b(d) be the first derivative of -3*d**2/2 + 2*d - 3. Suppose -3*y = 6*t - 2*t + 33, 0 = -t - y - 9. Calculate the least common multiple of 18 and b(t).
180
Let a = 5 + 13. Calculate the lowest common multiple of a and 6.
18
Find the common denominator of -93/82 and (-2 + -8)/(18/(-44)*8).
738
Suppose 3*y = -y + 44. Suppose y = h + 1. Calculate the lowest common multiple of 10 and h.
10
Suppose 11 = -m - 5*f, -5*m = 3*f + 61 + 38. Calculate the common denominator of (m/(-132))/(1/(-10)) and -13/4.
44
Let d be (3604/(-18))/((-40)/(-3)). Let z = d + 215/12. Calculate the common denominator of 7/6 and z.
30
Let i(z) = -z**3 + z**2 + z. Let v be i(0). Suppose 3*h = 2*j + 16, 4*j = -v*h - 3*h - 32. Let u = j - -14. What is the least common multiple of u and 7?
42
Suppose -x + 5*j + 49 = 0, 4*x + x - 135 = 3*j. Calculate the smallest common multiple of 27 and x.
216
Let u = 9171/5138 + 2/2569. Suppose -y + 2*y - 5*f = -12, 0 = -4*y - f - 6. What is the common denominator of (-273)/(-18) - -1 - y and u?
42
Suppose 8 = 3*v + 26. Let g = 18 + v. What is the least common multiple of 4 and g?
12
What is the smallest common multiple of 9 and 3 + 4 - 2/(-1)?
9
Let d(y) = -y**2 - 8*y - 6. Suppose -2*t = -3*t - 4. Calculate the least common multiple of d(t) and 1.
10
Let p = -1250 + 9945/8. Calculate the common denominator of p and -67/10.
40
Let o = -545/174 + 28/29. Calculate the common denominator of o and -23/2.
6
Let y = -83 + 87. Let h(u) = -2*u - 3. Let j be h(-3). Suppose 4*q = -3*z - 4, -j*q + y*q + 5*z + 18 = 0. Calculate the least common multiple of 10 and q.
10
Let p = -1423 + 7077/5. What is the common denominator of -7/24 and p?
120
Let y = 2/12503 + -487657/250060. Calculate the common denominator of y and -53/16.
80
Suppose 2*s + 4*m = -12, 5*s = -2*m + 7*m. Find the common denominator of 9/24*s/12 and -69/4.
16
Let d(t) = -5*t - 16. Calculate the smallest common multiple of 20 and d(-4).
20
Let f be (-60)/(-9)*12/(-10). Calculate the common denominator of (-3)/f*(-282)/(-9) and 46/9.
36
Let y be (-3)/(-12) - (-17667)/(-12). Let w = y - -2259. Let j = w + -7042/9. What is the common denominator of -44/5 and j?
45
Let i(l) = 14*l**2 - 11*l + 14. Let t(k) = -5*k**2 + 4*k - 5. Let q(j) = -6*i(j) - 17*t(j). What is the lowest common multiple of 8 and q(-2)?
72
Let h(f) be the first derivative of -f**4/4 - 2*f**3/3 + f**2 + 2*f - 6. Calculate the smallest common multiple of h(-3) and 9.
45
Let k be 843171/(-156) + (-12)/(-16). Let n = k + 5402. What is the common denominator of 35/6 and n?
78
Let y(n) = -n - 7. Let l b