
14
Let q = 24 - 57. Let t = 31351/9 - 3475. Calculate the common denominator of (2/(-4)*q)/(-5) and t.
90
Let l be (-71)/(-39) - (5 + -2). Let s = 2183/1950 + l. Let k = -1979/350 + s. Find the common denominator of k and 31/10.
70
Suppose 0*o - 84 = -d + o, 0 = 5*d + o - 444. Let q = 92 - d. What is the smallest common multiple of q and ((-1)/(-1))/(1/9)?
36
Let v = 88 + -77. Suppose -128 = 3*l - v*l. Calculate the least common multiple of l and 54.
432
Suppose 4*y - 18 = 10. Suppose 57 + y = 2*x. Find the common denominator of 0 + 1 - 168/x and -37/2.
4
Let g be 6 - (-5 - ((-395)/70 + -3)). Let h = 1318 + -55369/42. Let i = g - h. Find the common denominator of 91/12 and i.
12
Let l = -7777/786 + 8/131. Find the common denominator of l and -52/133.
798
Let h(p) be the third derivative of p**6/120 + p**5/5 - 29*p**4/24 + 5*p**3 - 28*p**2. What is the lowest common multiple of 32 and h(-14)?
352
Let y = 1536 - 1257. What is the least common multiple of y and 341?
3069
Let j be (3/1)/(9/(-240)). Find the common denominator of ((-13)/12)/(4/j) and -22/3.
3
Calculate the common denominator of 20/(-30) + (-2211)/(-2552) and -31/27.
6264
Let b(o) be the third derivative of -1507*o**4/24 + o**3/3 + 5*o**2. Let r be b(1). What is the common denominator of r/196 + (-3)/(-4) and -37/24?
168
Let j(b) = 3*b**2 + 5*b - 4. Suppose 4*r - 6 = 14. Suppose 3*n - 4 = 4*s, 3*s - 8 = r*n - 0. What is the smallest common multiple of j(n) and 20?
120
Let y(k) = k**3 - 6*k**2 + k - 1. Let n(l) = -3*l + 73. Let z be n(20). Calculate the least common multiple of y(6) and 60/52 + (-2)/z.
5
Calculate the common denominator of -77/40 and (-7112)/(-800) - 12 - (-6)/3.
200
Let k(b) = -14*b + 2. Let h be k(-3). Suppose -h*u = -42*u - 88. What is the lowest common multiple of 8 and u?
88
Let h = -7 + 10. Suppose 105 = 8*p - h*p. Let j = p - 18. What is the smallest common multiple of 1 and j?
3
Suppose 5*w - 5*t = -2*t + 132, w - 4 = -5*t. Suppose -3*h - w = -78. Suppose 0 = 3*p - h + 6. Calculate the least common multiple of p and 8.
8
Suppose 5*f = 2*k - 3*k + 23, 4*f - 7 = 3*k. Suppose 4*i - k*y = 61, -2*i - 5*y = 18 - 55. Calculate the lowest common multiple of 24 and i.
48
Let a = 18 - 20. Suppose v = -v + 36. What is the least common multiple of v and a + -22*3/(-3)?
180
Let c = -851 - -854. What is the lowest common multiple of c and 56?
168
Let j be 4/(-10) - 72/20. What is the lowest common multiple of j/14 - (-284)/14 and 2?
20
Find the common denominator of 74/75 and (-120 + -3)/(540/(-24)).
75
Let a = 2685056379/490 - 5479701. Let q = a + 59/49. What is the common denominator of q and 19/72?
360
Let i = -359/2 - -173. What is the common denominator of (-5)/(-20) - 62/40 and i?
10
Suppose -104*z = -98*z - 900. Calculate the smallest common multiple of 140 and z.
2100
Calculate the common denominator of ((-65)/2 - -1)*(-123)/4551 and 47/8.
296
Let k(p) = -p**3 - 7*p**2 - 2*p - 4. Let b(g) = -g**2 - 7*g - 1. Let l be b(-7). Let q(a) = -9*a + 1. What is the least common multiple of k(-7) and q(l)?
10
Suppose -9 = -y + 2*p, y + 4*y = -3*p + 19. Suppose -24 = 4*c + 4*l, -y*c + 0*l + 2*l = 44. What is the smallest common multiple of 10 and 0 - (3 - 1) - c?
30
What is the lowest common multiple of 2/((-6 + 33/6)/(-13)) and 18?
468
Let h(t) = -2*t - 2. Let c be h(-2). Find the common denominator of c - 5 - (-98)/16 and (-2)/(-6) + (-507)/198.
88
Let r = 116 + -51. Suppose 0 = -d - 2*d + 15, -5*w = d + r. Let p = -10 - w. What is the smallest common multiple of p and 4?
4
Let i be (-64)/(-150)*(-2810)/(-276). Let v = 14/115 - i. Let q = 167/6 - 29. Find the common denominator of v and q.
18
Let y(c) = 4*c + 20. Let i be y(-6). Find the common denominator of -2 + 23/(-24) - i and 47/33.
264
Let w = 10 + -24. Calculate the common denominator of (880/105 + -2)/((-24)/(-9)) and w.
28
Let q = 1659751/40 - 41496. Calculate the common denominator of q and -97/10.
40
Let f = 33 - 43. What is the common denominator of 41/3 and (-12 - f)*(-145)/168?
84
Suppose -7*t + 2*t = 5. Let u = t - -13. What is the common denominator of 13/7 and (-34)/(-20) - (-6)/u?
35
Let z(m) = -3*m**2 - 5 - 1 + 4*m**2 + m. Calculate the least common multiple of (-212)/(-26) + -5 + (-441)/(-91) and z(5).
24
Let m(c) be the first derivative of 5*c**2/2 + 30*c - 19. What is the lowest common multiple of 10 and m(-4)?
10
Suppose 3*v - 2*v - 4 = 0. Suppose -v*s - 8 = -48. Calculate the smallest common multiple of 2/(-3) - (-98)/3 and s.
160
Let b(g) be the second derivative of 2*g**3/3 - 6*g**2 - g. Let l be b(-5). Calculate the least common multiple of 7/((-28)/l) + 0 and 4.
8
Let k = 9589/117 + -1168/13. What is the common denominator of -3 + (-218)/126 - (-10)/35 and k?
9
Let i be (-3)/2*(-64)/24. Suppose 0 = -2*y - i*k + 116, -2*y + 117 = -0*y + 5*k. Find the common denominator of (9/((-18)/y))/(-1) and -22/7.
7
What is the common denominator of (6 - -6*1040/(-756))/(-6) and 137/84?
756
Let z = 22 - 8. Calculate the least common multiple of 8 and -3 + (z - 4) + 0.
56
Let t(b) = -3*b**3 - 90*b**2 + 189*b - 31. What is the least common multiple of 12 and t(-32)?
780
Find the common denominator of 47/32 and (-325)/(-182) - (-2)/(-7).
32
Find the common denominator of (-70)/77*(-40)/(-275) and -9/44.
484
Suppose -14*y = -39*y. Let u(v) = -v + 1. Let f be u(0). Suppose y = -w + 2, -2*w = -4*x + 25 - f. What is the smallest common multiple of 3 and x?
21
Let h be (-7798)/24 - -2 - 1/(-6). Let b = h - -14361/44. Calculate the common denominator of -1 - (-138)/4 - -1 and b.
22
Suppose 4*b = -3*t + 2*b + 179, b = 4. What is the least common multiple of t and 87?
1653
Let l = -26 + 47. Suppose b - 2*i = -i + 11, -3*i - l = -b. What is the least common multiple of 12 and b?
12
Suppose -2*y - 3*w = -4*w - 62, 20 = y + 5*w. Let x = y + -24. Calculate the least common multiple of 2 and x.
6
Let s = -8 - -10. Suppose 3*a + w - 32 = 0, s*a - 4*w - 7 = 5. What is the lowest common multiple of a and 16?
80
Let w = 546 - 538. What is the smallest common multiple of 90 and w?
360
Suppose 2*h - h = -o - 297, 3*h + 4*o + 888 = 0. What is the common denominator of 970/h + (-4)/6 and 2 - (-1)/((-44)/226)?
110
Let k = -116101 - -66641941/574. What is the common denominator of k and -81/8?
2296
Let q = 7367/8 + -924. What is the common denominator of 1/56 and q?
56
Let b = -1/8212 - 463969/73908. Find the common denominator of b and -167/30.
90
Suppose -2*j = -17 + 1. What is the least common multiple of j and 44/(-6)*(-7 - (-22)/4)?
88
Let t = 5/1606 + 47337/12848. Find the common denominator of -11/40 and t.
80
Suppose -39 = -2*c - 5*l, -8*l + 5*l - 25 = -c. What is the smallest common multiple of c and 1076?
11836
Suppose 0 = 6*l - 3*l + 1236. Calculate the common denominator of 27/26 and l/(-18)*45/(-60) - -3.
78
Let p(a) = -8*a - 10. What is the least common multiple of 24 and p(-5)?
120
Let k = 2113/620 - 39/31. What is the common denominator of -35/298 and k?
2980
Suppose 12*u + 14590 = 43102. Find the common denominator of (-6)/33 + 14556/u and -59/4.
36
Let o be 0/(0 - (-6)/(-3)). Suppose o = -a - a + 526. What is the common denominator of 13/20 and 2/(-3) + a/(-24)?
40
Let u = 5882562053/12008 + -9306930/19. Let s = u - -5/632. What is the common denominator of s and -13/16?
16
Let n = 94 - 92. Let y = -2 + 4. Let r = y + 2. Calculate the least common multiple of n and r.
4
Suppose 0 = 5*r - 204 - 81. Let q = 79 - r. Calculate the least common multiple of 10 and q.
110
What is the least common multiple of 13 and (-1354)/(-13) + (-34)/221?
104
Let q = 27 - -1. Let v = -43 + q. Let y = v - -17. Calculate the lowest common multiple of y and 1.
2
Suppose -76*n = -70*n - 234. Calculate the smallest common multiple of n and 39.
39
What is the lowest common multiple of 220 and 18/15*135/81?
220
Let j = 505/6 - 159/2. Let w = 1163 - 1198. What is the common denominator of w and j?
3
Let a = 3 - 1. Let d(j) = -2*j**3 - 17*j**2 - 7*j + 14. Let y = -29 + 21. Calculate the lowest common multiple of d(y) and a.
6
Suppose 2*f = j + 17, f = -4*j - 0*f - 41. Let w = 13 + j. Suppose -w*d - 4*x + 36 = 0, -5*x + 27 + 39 = 4*d. Calculate the least common multiple of 10 and d.
70
Let t = 1447855/69003 - -628/2091. Let v = -283/11 + t. Ca