0
Suppose -4*h + 1989 = -2547. Calculate the least common multiple of 11 and h.
12474
Let h(f) = f**3 - 2*f + 1. Let n(j) = 2*j - 6. Let b be n(9). Let a = b - 10. Calculate the smallest common multiple of h(a) and 12.
60
Find the common denominator of -23/36 and (-3 - (-3856)/504) + (-6)/14.
36
Let j = 1050245/12 + -179231/2. Let t = j + 2092. What is the common denominator of t and -41/12?
12
Suppose 4*d = -5*h + 43, -h - 4*d + 22 = h. Suppose 50 = -3*a + 92. What is the smallest common multiple of h and a?
14
Let q be (-32)/(-24) + 2/3. Let s = 4212 - 58887/14. What is the common denominator of ((-123)/60 + q)/(-1) and s?
140
Let v(m) = 6*m**2 + 5*m + 8. Let l be v(-2). Suppose -4*s + 10 = -l. Calculate the smallest common multiple of 69 and s.
552
Let v = -5 + 8. Let q(x) = x**3 + 5*x**2 - 3*x - 4. Calculate the smallest common multiple of -2 - -3 - v/((-3)/2) and q(-5).
33
Let h(r) = 3*r + 3. Let a be h(-2). Let f be ((-7238)/(-12))/(a/9). Let q = f + 1844. Calculate the common denominator of -57/22 and q.
22
Suppose -2*y - 4*m = -3*y + 46, 0 = 4*m - 8. Calculate the lowest common multiple of y and 90.
270
Let b be -1*(-8)/(-68) - 7839075/714. Suppose 3*y = 3*l - 32955, 10982 = -y - 0*l - 2*l. Let r = y - b. Calculate the common denominator of -41/18 and r.
126
Calculate the common denominator of 20/15 + 54/(-24) + -5 and -40/17.
204
Let u = 137/180 + 7/20. Calculate the common denominator of -49/72 and u.
72
Suppose -a - 24 = -24. Suppose 3*p = p + 8, a = -2*y + 5*p - 14. Calculate the lowest common multiple of 4 and y.
12
Let u = -1696339/2509812 + -1/23239. Calculate the common denominator of -19/11 and u.
1188
Let c = 61 - -11. What is the common denominator of ((-234)/(-42))/13 - 254/(-126) and (-82)/c + 2/(-6)?
36
Let s = -1/35 - 113/245. Calculate the common denominator of s and 25/6.
294
Let b(n) = n**3 + 9*n**2 + 17*n + 15. What is the lowest common multiple of b(-6) and 75?
525
What is the lowest common multiple of (-8 - 0)*(-3)/6 and 23?
92
Find the common denominator of 26/3 and 1745/(-570) - 1 - 3*-1.
114
Suppose 16*j - 31 = 433. Let y = 1 + 8. Suppose 0 = 2*w - j - y. Calculate the common denominator of w and -109/6.
6
Let p be 403350/(-91) + 2/(-13). Let v = p + 2048219/462. What is the common denominator of v and 83/8?
264
Let k(m) = 2*m**2 - m - 2. Let z be k(-2). Let c be (-2)/(z/(-5) + 2). Calculate the common denominator of 2/c + (-118)/(-10) and -63/10.
10
Suppose -6*m + 10*m = 49304. Let r = m - 332876/27. Calculate the common denominator of 103/18 and r.
54
Let w = 113 - 237/2. Let d = -185/6 - w. What is the common denominator of d and 37/4?
12
Let g = -28 + 53. Let p be 1 - (-5)/(g/(-10)). What is the smallest common multiple of ((-14)/6)/(p/3) and 10?
70
Calculate the common denominator of (16023/1764)/(-1 + (-1 - 3)) and 44/21.
420
Let i = 21997/12 - 7281517/3972. What is the common denominator of i and -85/8?
2648
Suppose 909 - 849 = 3*d. What is the least common multiple of 108 and d?
540
Suppose 2*k + 0 + 1 = h, -3*h - k + 10 = 0. Calculate the smallest common multiple of 1/(4/48*h) and 14.
28
Let j(b) = -b**3 + 19*b**2 - 16*b - 22. Let p(q) = -19*q**3 - q**2 - q - 1. Let k be p(-1). What is the smallest common multiple of j(k) and 6?
42
What is the common denominator of 4/(-22) + (-1872)/231 and (9/6)/((-72)/556)?
84
Let f(i) = -2*i - 3*i + 4*i + 1. Let w(d) = -2*d + 50. Let o be w(25). Calculate the smallest common multiple of 9 and f(o).
9
Suppose 0 = 4*h + 2*z - 6*z - 52, -2*h + 25 = -z. What is the least common multiple of 15 and h?
60
Let q = 45 - 13. Let y(s) = s**2 - s - 11. Calculate the lowest common multiple of q and y(5).
288
Suppose -5980 = -24*b - 2*b. Calculate the least common multiple of 4 and b.
460
Suppose 2*x + 2*x + 134 = -2*n, 5*n - 5*x + 350 = 0. Let w = n - -75. What is the smallest common multiple of w and 11?
66
Let n = -15642 - -844639/54. Let v(q) = 4*q**2 + 2*q + 12. Let f be v(0). Find the common denominator of (-3 - (-9)/(-24))*f and n.
54
Let h be 1 - (-7)/((-28)/(-32)). Let p = 17 - h. Calculate the least common multiple of 22 and p.
88
Suppose 2*l = 2*u - 12, 3*u - 3*l - 14 = 2*u. What is the least common multiple of 18 and 10 - (-2)/u - 3?
72
Let t = -45 - -58. Let w = t - 8. Calculate the least common multiple of 1 and w.
5
Let k = 37362 + -2465773/66. What is the common denominator of -31/6 and k?
66
Suppose 0 = 4*d - 8*d + 64. Suppose 3*z - d = -1, -5*g + 3*z + 265 = 0. Calculate the common denominator of 20/13 and (-615)/g - 5/35.
104
Let j = -1529/8 + 120863/632. Find the common denominator of j and -111/10.
790
Let p = 454 - 436. What is the lowest common multiple of p and 106?
954
Let j = -37 + 39. Let z(g) = 2*g**2 - 2. What is the least common multiple of z(j) and 8?
24
Let l = -418 + 5437/13. Let g = -1981 - -17791/9. Find the common denominator of l and g.
117
What is the common denominator of 71/(-71) - (394/(-400))/1 and 43/80?
400
Let h(x) = x**3 - 21*x**2 + 18*x + 42. Calculate the least common multiple of (-34)/(-2) - (-3 + 1) and h(20).
38
Let y = 21 + -17. Let k = 9 - 9. Suppose k = y*t + 1 - 9. What is the smallest common multiple of t and 6?
6
Let d(n) = n**3 + 16*n**2 - 3*n - 39. Let k(y) = y**2 + 7*y - 6. Let r be k(-5). What is the least common multiple of 12 and d(r)?
36
Let a(l) = -12*l + 20. Calculate the least common multiple of (-6)/21 - (-88)/14 and a(0).
60
What is the common denominator of 81/2 and ((-15)/1960)/((-6)/(-148))?
196
Let u(r) = 5*r**2 - 4*r**2 - 54 + 53 + 5*r. Let q be u(-5). Calculate the least common multiple of 1 and 4 - ((0 - 2) + q).
7
Let u(l) = l**2 + 10*l + 10. Let f be u(-8). Calculate the common denominator of 13/3 and (-1)/f - 3497/858.
33
Let s(u) = -6*u**3 + u - 2. Let j be s(2). Let c be j/(-9)*3/2. Suppose 3*l - c = 2*l. What is the smallest common multiple of l and 16?
16
Let n = 345/163 - -6439/4890. Find the common denominator of -91/20 and n.
60
Let a = 3203/2 - 25563/16. Calculate the common denominator of a and -115/1056.
1056
Let a = 171/5 + -30. Calculate the common denominator of a and 8.
5
Let n = 17 - 16. Suppose -11 + n = -2*a. Suppose 0*r + 66 = 3*r - 3*y, 0 = -3*r + a*y + 58. What is the smallest common multiple of r and 12?
156
Let g = 16 + -8. Let y(a) = 2*a**3 - 10*a**2 - 4*a + 25. Calculate the smallest common multiple of (g/3)/((-1)/(-3)) and y(5).
40
Let k(j) = -2*j**3 + 7*j**2 + 9*j - 6. Calculate the lowest common multiple of 7 and k(-3).
84
What is the common denominator of 27/526 and 9/(-12) - 393/60?
2630
Suppose -673*w + 678*w = 30. Suppose 8 = 2*c - 8. Calculate the smallest common multiple of w and c.
24
Let u = 1011 + 37. Suppose -12*l + 10*l = u. What is the lowest common multiple of l/(-26) + 10/(-65) and 18?
180
Let b(z) = 3*z**2 + 3*z. Calculate the smallest common multiple of 75 and b(-5).
300
What is the common denominator of (-4 - 75/(-21)) + (-295)/(-231) and (2/(-8))/(9/(-159))?
132
Let j(o) = 20*o - 4. Suppose 4*t + 2*v + 2*v + 4 = 0, 2*v - 10 = 4*t. Let k be j(t). What is the common denominator of -105/22 and 115/k*(-2)/5?
22
Calculate the common denominator of (-56)/(-196) + 1102/(-84) and 7/66.
66
Let m = 76/75 + 807/100. Suppose 5*s = 9*s - 1296. What is the common denominator of -1 + 5 + s/(-16) and m?
12
Let g = -21 - -29. Find the common denominator of -42 and (-1 + 12)/((-28)/g).
7
Let l = -14 - -3236. Find the common denominator of (-6)/27 - 1876/792 and -4*1 - l/(-324).
198
What is the common denominator of (-10)/(-120)*44/6 and -3 + (-2)/44*21?
198
Let v be ((-3)/6471)/(2/15). Let f = 19795/6471 + v. Find the common denominator of (-43)/(-22) - ((-42)/33)/(-14) and f.
198
Let w be 12/(-8) - 114/(-4) - -1. Calculate the common denominator of 143/12 and (18/(-12))/(-1 + w/13).
60
Suppose 0 = 2*l - 7*l + 30. Calculate the common denominator of (l + 36/(-8))/((-12)/(-158)) and 55/12.
12
Suppose 4 = 2*r + 5*l, 6 = -3*r - 3*l + 30. Suppose 4*z + 0*z - r = 0. Suppose -3*n - 2*n + 15 = 0. What is the least common multiple of n and z?
3
Let v = -84 + 71. What is the lowest common multiple of 21 and 2*(-66)/(-4) - (v - -13)?
231
Let k = -49830 + 5082703/102. Let r = -4011 - -7921/2. Calculate the common denominator of k and r.
102
Let f = 11 + -10. Calculate the smallest c