- 2*i + 78 = 0, -4*h + 4*i - 160 = 2*i. Let f = h - -46. What is the lowest common multiple of 24 and f?
120
Suppose 2*v = -v, -5*g + 3*v + 15 = 0. Suppose -4*t - g*o + 11797 = 0, 2*o - 3 = 3. Let w = t + -26555/9. What is the common denominator of w and 109/6?
18
Let f be (-3)/(-6)*(-382 - 0). Let x be (2*f + 2)/1. Calculate the smallest common multiple of x/(-30) + 2/(-3) and 8.
24
Let n = -58696531/10 + 5864890. Let u = -4772 - n. Find the common denominator of u and ((-1)/6)/((-7)/91).
30
Let w = 117 + -112. Suppose z + w*x = 17, -6*x + 10 = -z - 2*x. Calculate the smallest common multiple of z and 18.
18
Suppose -3*k + 1877 - 1787 = 0. Calculate the smallest common multiple of k and 51.
510
Let n(k) = -k**3 - k**2 - 8. Let h be n(0). Let i = -251/40 + 3/20. Calculate the common denominator of h/(-13) - (-2)/(-1) and i.
104
Let g = -7 + 10. Calculate the least common multiple of ((-2)/(10/g))/((-3)/90) and 10.
90
Find the common denominator of ((-5673)/186)/(-21 + -1 + 0) and -7/16.
176
Suppose -3*w - w = -5836. Let k = w + -2987/2. Find the common denominator of k and (-267)/(-10) - 1/5.
2
Suppose 4*o - 2*f + 5 = 73, o + 2*f = 22. Calculate the smallest common multiple of 36 and o.
36
Suppose -15*p - 5*p = -1400. Calculate the lowest common multiple of p and 14.
70
Let v(l) = 2*l + 41. What is the lowest common multiple of (-9*(-5)/(-25))/(3/(-10)) and v(-19)?
6
Calculate the least common multiple of 36 and (-167)/(-1) + (-237)/79.
1476
Suppose -3*d - 6 = 2*c - d, 4*c - 3*d = -12. Suppose -g - 38 = -4*l, 3*g - 25 = 3*l - 49. What is the common denominator of ((-126)/(-20))/c - -1 and l?
10
Let h = 492371/249470 - -2/124735. Let d be (5738/(-1554) + -2)*759/(-1186). Let x = 2/21941 - d. What is the common denominator of h and x?
266
Let l = -89 + 79. Let b(o) = -o**2 - 11*o - 4. Calculate the lowest common multiple of 9 and b(l).
18
Find the common denominator of (-2 + (-51)/(-24))/(38/84) and -59/12.
228
Calculate the common denominator of 47/70 and (-18)/(-54) - 12/(-63)*8.
70
Suppose 232 = 4*r - 2*n, -21*r - n = -17*r - 238. Calculate the smallest common multiple of 5 and r.
295
Let n = 2966941/100 - 29670. What is the common denominator of n and 63/10?
100
Let j = 309/35 - 943/420. What is the common denominator of -133/72 and j?
72
Let o = -2837 - -99286/35. Let z = 1457 - 7323/5. What is the common denominator of z and o?
35
Suppose -2*l + 15 - 5 = 0, 5*l = -n + 73. Suppose w + 2*w = 3*o - 114, 4*w + 127 = -o. What is the common denominator of n and (58/8 - 2)/(9/w)?
4
Let t = 51749/28840 - 50/721. Calculate the common denominator of 38/25 and t.
200
Let i = -37 - -10. What is the common denominator of ((-200)/42)/((-18)/i) and 17/58?
406
Let g = 57 + -54. Suppose r + g*l = 42, 6*l - 5*l = -4*r + 190. Calculate the lowest common multiple of r and 12.
48
Let r = -12327492 + 221821045/18. Let i = -4098 - r. What is the common denominator of i and -1 + (1 - (-60)/16)?
36
Suppose 0 = -f + 7 - 6. Calculate the smallest common multiple of 20 and 21 + -18 - f/1.
20
Let v(j) = -2*j. Let q be v(0). Suppose q = 2*i - k + 4*k - 2, 3*i = -k - 11. Let a = i - -9. Calculate the smallest common multiple of a and 8.
8
Suppose 0 = 45*m - 50*m + 165. Calculate the lowest common multiple of (m/(-6))/(3/(-6)) and 7.
77
Let x(c) = -c**3 + c**2 + 5. Let v = 11 + -11. Let n be x(v). Suppose 5*u = s + 1 + 16, 3*s + n*u = 29. What is the least common multiple of s and 6?
6
Let s(w) = -11*w - 7. Let o(t) = -1. Let c = -24 + 30. Let h(b) = c*o(b) - s(b). What is the least common multiple of h(1) and 22?
132
Let t be 642303/54435 - (3 - -1). Let m = t - -2/3629. Let j = -7499 + 60077/8. Calculate the common denominator of j and m.
40
Let c = 49 - -20. Suppose -45 = -2*g - j, -3*j + 0 + c = 3*g. What is the least common multiple of g and 10?
110
Let v be 9/2 - (-7)/14. Suppose -20 = 3*k - v*k. Let h = 2 - -5. What is the lowest common multiple of k and h?
70
Suppose 8*h + 23*h - 279 = 0. What is the smallest common multiple of h and 944?
8496
Let g(b) = 3*b**2 + 6*b - 21. Let i be g(4). Suppose -w - i = -5*p, -1 = 2*w + 1. Calculate the lowest common multiple of 5 and p.
10
Let f be (4/(-10))/(11/(-275)). Suppose 11*j - f*j = 10. Find the common denominator of j and 0 + -3 - (-14)/(-26).
13
Suppose 83 = -3*h - 610. Calculate the common denominator of -53/18 and h/108*(-1)/(2/(-3)).
72
What is the common denominator of ((-2)/(-8))/(-3 + (-789)/(-260)) and -43/41?
369
Suppose -3*k - 8 = 1. Let h be k - (24/2)/(-2). Suppose h*c = 6*c - 42. What is the least common multiple of 8 and c?
56
What is the lowest common multiple of 9/((-90)/70) + 393 and 18?
3474
Let w(m) = -m**2 + 23*m - 22. Let k be w(16). Let n = k - 79. Suppose 2*s = x - 10, 0 = -x + s + 7 - 1. What is the least common multiple of n and x?
22
Let w = -185/2 + 57. Calculate the common denominator of (-9 + 3)/6 - 158/16 and w.
8
Let v(q) = -q**3 - 2*q**2 + 2*q + 4. Let w be v(0). What is the common denominator of -3 - (141/(-24) + w)*2 and 18/5?
20
Calculate the common denominator of (-30927)/2574 + 4/22 and -117/20.
60
Let q = -345/7 - -3125/84. Find the common denominator of (-651)/(-112) + (-24)/8 and q.
48
Let v = -14251490816 - -16089934335898/1129. Let a = v - 1067. Let u = 78081/22580 + a. What is the common denominator of -23/8 and u?
40
Let j(m) = 3*m + 4. Let p be j(0). Suppose -2*g - 2*b + 72 = -p*b, 5*g + 5*b = 190. Suppose 0 = 2*r + 13 - g. Calculate the lowest common multiple of r and 2.
12
Let a = -8278/11 + 752. Let g = -12289/11275 - 1/1025. Calculate the common denominator of a and g.
11
Suppose t + 3*s + 18 = 0, -9 = 2*t - 3*s - 0. Let l = 18 + t. Find the common denominator of l and -67/9.
9
Let y be (-30)/(-105) - 38/(-14). Suppose -m - 935 - 150 = v, -y*v = 5*m + 3253. Let c = 5409/5 + v. Calculate the common denominator of c and 62/5.
5
Suppose 3*s = -m - 0*m + 6, -5*s = 5*m - 20. Find the common denominator of (-3 - (-3 - s))*-50 and -2 - 1/10*-59.
10
Let v(r) = r**3 + 17*r**2 + 28*r - 26. Let x = 33 + -19. Calculate the least common multiple of x and v(-15).
28
Let t = 5971846/57 + -104772. Let m = -7/114 + t. What is the common denominator of m and (3/(-3))/((-6)/(-137))?
6
Calculate the lowest common multiple of ((-12)/(-10))/((-36)/(-450)) and 3.
15
Suppose 0 = 53*q - 54*q + 36. Calculate the smallest common multiple of 8 and q.
72
Calculate the common denominator of -3/11 and 1*(-2)/10 + 9954/43695.
10681
Let j = -21 - -14. Let k(x) = x**2 + 8*x + 5. Let g be k(j). Calculate the common denominator of g/((-12)/(-747)*-3) and 49/8.
8
Let p(t) = -t**2 + 20*t - 69. Calculate the smallest common multiple of 268 and p(5).
804
Calculate the common denominator of 380/304*268/350 and 31/63.
630
Let s = -249 - -261. Calculate the lowest common multiple of 28 and s.
84
Suppose 8*c - 11*c - 198 = 0. Let z be c/(2/16*6). What is the common denominator of 136/z + 1 + -4 and -38/7?
77
Let s = -1 - 5. What is the least common multiple of ((-18)/4)/(s/12) and 4?
36
Let b = -21 - -9. Calculate the common denominator of -25/12 and (-4)/b + (-578)/(-12).
12
Let v = 110 - 105. Suppose 2*z + v = 2*q - z, 55 = 5*q + z. What is the lowest common multiple of 11 and q?
110
Calculate the common denominator of 41/12 and 1330/(-1200) + -1 - (-2 - -1).
120
Suppose -f + 12 = -l, 4*f + 1 = -2*l - 11. Calculate the common denominator of (2/(-3) - (-1576)/(-48))/l and -79/10.
20
Let k = -61/495 + -9469/12870. Find the common denominator of 61/8 and k.
312
Let h(g) = g**3 - 5*g**2 - 7*g + 10. Let m be h(6). Let y be (-2 - (-34)/(-2))/(-1). Suppose -m*o + 53 = -y. What is the least common multiple of o and 2?
18
Let t = 3004387/738 + -4071. What is the common denominator of t and 47/16?
5904
Let j be 4/12 - 1 - (-26)/3. Find the common denominator of -80/33 and (500/(-8))/(4 + -6 + j).
132
Let h(f) = -2*f**3 - 9*f**2 - 3*f - 4. Let g be h(-6). Let m = g + -121. Calculate the least common multiple of m and 24.
24
Let l = 1901/540 + 4/135. Find the common denominator of 93/196 and l.
980
Suppose -19*c - 72 = -23*c. Let p = c + -8. What is the lowest common multiple of 14 and p?
70
What is the common denominator of -69/80 and 258/40 + 10/(-7 - 3)?
80
What is the common denominator of 11/2*(-2)/(-48) and -73/