32
Suppose 3*v - 24 = 3. Suppose -3 = -3*r + 12. Suppose 4*x - 12 = -r*q, -2*q = -6*x + 3*x + 32. Calculate the smallest common multiple of x and v.
72
Let j(d) = -d + 52. What is the least common multiple of j(-5) and 9?
171
What is the smallest common multiple of 6 and ((-9)/18)/(-1 - 130/(-132))?
66
Suppose -2*l - h + 9 = -2, 4*l = -3*h + 25. Suppose 0 = -3*v + l*z + 30, 2*v - z - 2*z = 19. Calculate the smallest common multiple of 4 and v.
28
Calculate the common denominator of -55/6 and -4 - (-18)/12 - (-425)/360.
72
Let z be (1312/42)/(8/(-12)). Let f = z + 2713/70. What is the common denominator of f and 1 + 81*(-1)/(-10)?
10
Let v be ((-4)/(-4983))/((-10)/(-3)). Let g = v - -1104553/49830. What is the common denominator of g and ((-1)/4)/((-6)/(-124))?
6
Let o = -16 + 34. Let p be (-24)/(-9)*o/(-8). Let a(f) = -2*f + 8. Calculate the least common multiple of a(p) and 6.
60
Suppose -4*f - 5*j + 751 = 0, -5*f + j - 124 = -1070. What is the least common multiple of 9 and f?
189
Let y(x) = -x**3 - 5*x**2 - 5*x - 3. Suppose 2*t - 3*t - 3 = 0. Let k = 13 + t. Calculate the least common multiple of k and y(-5).
110
Let b(z) = -2*z + 8. Let g be (-8)/28 - 2/(-7). Let n = g - 4. What is the smallest common multiple of 14 and b(n)?
112
Let t(o) = o**2 - o. Let v = -55 - -73. What is the lowest common multiple of v and t(-5)?
90
Let w be (-4)/(-2562)*(-579)/(-4). Let f = w + 8/61. Calculate the common denominator of f and 926/612 - 4/(-18).
238
Let y(g) = 49*g - 2. Let w be y(2). Suppose 6*i = -0*i - w. What is the common denominator of -67/22 and (296/100)/(i/(-10))?
220
Suppose 5*n - 15 - 25 = 0. Calculate the common denominator of 53/9 and ((-201)/(-108))/(2/n).
9
Suppose 0*z = -8*z + 2*z. Suppose 3*t - 6 = -0, z = -3*d - 4*t + 74. Calculate the least common multiple of d and 4.
44
Calculate the lowest common multiple of 128 and 2/((-56)/(-4459)) + 27/36.
640
What is the common denominator of -13/20 and ((-4)/(-14))/((-55)/155 + 1)?
140
Find the common denominator of ((-4)/(24/(-63)))/(720/680) and -13/172.
516
Suppose 4*z = 15 + 1. Calculate the least common multiple of z and (-2 - 244/(-20)) + (-1)/5.
20
What is the common denominator of ((-297)/(-36))/(36/(-14)) and -4 + 10/3 + 598/60?
120
Let h(x) = -x**2 + 14*x - 9. What is the lowest common multiple of 9 and h(3)?
72
Let d(n) = -3*n**2 + 13. Let p be d(14). Let s = -1748/3 - p. What is the common denominator of s and -34/7?
21
Let c be ((-64)/20)/((-2)/10). Suppose 2*t = -5*j + 43, -3*j - 2*t + c = -j. Calculate the smallest common multiple of (-3 + 6 - -5) + 2 and j.
90
Let i = -2/2341 + 53865/25751. Let l = -44465/13 + 3422. Find the common denominator of l and i.
143
Let c be 35/14*(-8)/(-10). What is the least common multiple of (2 + -2)/3 + 10 and ((-30)/24)/(c/(-8))?
10
Suppose -y - 4*y = -20. Suppose y*d - 130 = 9*d. What is the smallest common multiple of (-412)/d - 16/(-104) and 12?
48
Let j = 11363/1332 - 169/148. Find the common denominator of j and ((-30)/(-148))/(15/65).
666
Let y be 0 - (2298/39 - -3). Let t = 17308/273 + y. What is the common denominator of t and 31/39?
273
Suppose -2*l + y + 24 = 0, -2*l - 2*y - 12 = -3*l. Suppose -5*s + 3 = -l. What is the lowest common multiple of 1 and -1 + (-5)/(2 - s)?
4
Let f be (2 - 36011/360)/(-22). Let w be ((-2 + (-213)/(-108))/(-1))/(-20). Let o = w + f. Find the common denominator of o and 55/4.
44
Let l = 497 + -99397/200. Let v be 2/(4400/(-167)) - 1. Let k = v - l. Calculate the common denominator of k and -15/7.
77
Let n = 38 - 14. Suppose -5*q - n = -5*a + 6, 5*a = -4*q + 21. Calculate the lowest common multiple of 14 and ((-18)/(-5))/(1/a).
126
Let b(i) = i**3 - 3*i**2 + 2*i + 3. Let s be b(3). Calculate the lowest common multiple of 9 and s + (-4)/(-8)*-2 + 1.
9
Let g be (-6 + 4)*2/4. Let z = g - -12. Let n(o) = o**3 + 9*o**2 - 13*o - 22. What is the least common multiple of n(-10) and z?
88
Let k be (-3)/((-3)/266) - 1. Calculate the common denominator of 32/11 and ((-44)/(-330))/((-8)/k).
132
Let p = 201225/121 - 1663. Let i = p + -6691/2178. Find the common denominator of -97/2 and i.
18
Let w = -90 - -98. Let y = 73 - 39. Calculate the least common multiple of y and w.
136
Let o(c) = -c**3 - 25*c**2 + 25*c - 30. Let v be o(-26). Find the common denominator of ((-3)/v)/(27/(-66)) + -1 and -43/2.
6
Let b = 382335 - 155992769/408. Find the common denominator of -137/192 and b.
3264
Suppose 2*j = n + 15, 7*j = 2*j + 4*n + 30. Let t = -5 + j. Suppose 3*u + v - 22 = 0, -4*v - 11 = -t*u + 3. What is the lowest common multiple of 5 and u?
30
Let y = -396/19 - -4155/38. Let n = y - 281/4. Calculate the common denominator of 113/48 and n.
48
Let t = 95 - 31. Calculate the smallest common multiple of t and (2 - (-42)/(-18))/(-3 + 125/42).
448
Suppose -217 + 226 = w. Calculate the least common multiple of 15 and w.
45
Suppose 0 = -4*q - 20, -3*l + 8*l - q - 155 = 0. Calculate the lowest common multiple of 4 and l.
60
Suppose -z = -2*g + 5*g - 20, -4*z + g = -15. Suppose -x - t = -z*x + 43, 2*x - 3*t = 29. Calculate the lowest common multiple of 12 and x.
60
Suppose 2*r + 1202 = 5*o, -4*r + 187 = 4*o - 769. What is the common denominator of (-12)/(-15) + (-2982)/o and 73/50?
200
Let r = 12737/2902 - 2/13059. What is the common denominator of (-927)/(-6)*(-2)/(-222) and r?
666
Let k = 127/2079 + 1/77. What is the common denominator of -31/3 and k?
27
Let g = 12203 + -1073777/88. Calculate the common denominator of -97/36 and g.
792
Calculate the common denominator of 7/12 and (-14)/10 - (576036/(-50640) - -10).
2532
Calculate the common denominator of (84/(-189))/((-60)/66) and -26/255.
765
Let b = -22651 + 5436263/240. What is the common denominator of -169/180 and b?
720
Let j(q) be the third derivative of -q**6/120 - 2*q**5/15 - 7*q**4/24 + 3*q**3/2 - 10*q**2. What is the least common multiple of (-1)/(2/(-6)) - 2 and j(-7)?
9
Let j(n) = -4*n**2 - 203*n + 95. What is the least common multiple of 56 and j(-51)?
616
Let u = 1/88759 - -10739797/3727878. What is the common denominator of u and (-15)/60*((-175)/3 + -1)?
42
Suppose -11*n + 9*n = -50. Find the common denominator of 4/4 + (-190)/(-24) and 21/(-10) + 5/n.
60
Let s = -16 - -16. Suppose s = -17*f + 18*f - 4. What is the lowest common multiple of f and 2?
4
Let j = -30 + 27. What is the common denominator of 9/20 and (-5)/j*(-1)/(-4)?
60
Calculate the common denominator of (-114)/(-40)*(-150)/(-36) and -53/4.
8
Suppose 3*v = 3, 2*f - 3 = 3*v - 0. Suppose 2*a + 4*t - 220 = 6*a, -f*a - 170 = 2*t. Calculate the common denominator of -23/4 and (6/a)/((-6)/(-428)).
28
Suppose -66 = -5*f + 2*f. Let n = -1032 + 2824. Let p = 12599/7 - n. Calculate the common denominator of p and f.
7
Let k = 61 + -51. Let v = 14 - -1. Let x = v + -11. What is the lowest common multiple of k and x?
20
Calculate the common denominator of 89/8 and (-1354)/(-1135) - 35/25.
1816
Let t be (-51)/5 - 2/(-10). Let h(m) = -m**3 - 11*m**2 - 11*m - 8. What is the least common multiple of 0/(2 + 0) + 4 and h(t)?
4
Let a = -878 - -78138/89. Let j be (-3)/(-1) + (-4559)/445. Let n = j - a. Calculate the common denominator of -113/10 and n.
10
Let k = 1182/287 - -207/82. Let g = 439/84 - k. Calculate the common denominator of 133/72 and g.
72
Let y be -2 - 2 - 800290/140. Let k = -11294 - -5569. Let o = k - y. Find the common denominator of -25/18 and o.
126
Suppose -z + 38 = 34. Let k(q) = q**3 - 3*q**2 - 4*q - 4. Let w be k(z). What is the common denominator of 3940/612 - w/34 and -61/4?
36
Let g be (-2 + 60/18)/((-2)/(-30)). Suppose -5*q = 3*y - 34, 2*q - 2*y - g = -0*q. Suppose 4*k + 0*k = 88. What is the lowest common multiple of k and q?
88
Suppose 7*s + 11 = 8*s - 3*u, 15 = 5*s + 5*u. Suppose 4*r - 26 = 2*k + 6, 0 = -r + s*k - 10. Calculate the lowest common multiple of r and 8.
40
Calculate the common denominator of (-1616)/468 + (-10)/(-45) and -76/3.
39
Suppose -2*d - 18 = -2*h, 0*d = -2*h - d + 3. Suppose 2*w = -0*w + 4*g + 16, 3*w + 2*g = 0. Calculate the smallest common multiple of w and h.
4
Let x(l) = l**2 - 5*l - 2. Let v be x(3). Calculate the lowest common multiple of (2/v + 0)/((-10)/40) and 11.
11
Let h(g) = g**2 - 24*g + 39. Let i be h(20). Let l = -35 - i. Calculate the least common m