?
3
Let v = -15 - -5. Let x be (v - -3)/(1/2). Let j = 24 + x. What is the lowest common multiple of 2 and j?
10
Let r be (0 - 4)*(-1 - 9). Calculate the least common multiple of 4 and (4 + r/(-12))/((-3)/(-135)).
60
Suppose -9*j - 414 = -32*j. Calculate the least common multiple of j and (-2)/5 - 44/(-10).
36
Calculate the least common multiple of 10 and 100/2*272/340.
40
Let i = 2/1741 - 33123/38302. Let o(b) = -2532*b**2 + b - 2. Let r be o(2). Let z = r + 161983/16. Calculate the common denominator of z and i.
176
What is the common denominator of -2/15 and (-1054)/(-44) - (-12)/22?
30
Let y(d) = 2*d - 7. Suppose -2 = -4*o + 18. Suppose -33*q + 8 = -124. What is the smallest common multiple of y(o) and q?
12
Let g(n) = 22*n - 17*n + 19*n + 0 + 3. What is the least common multiple of 27 and g(1)?
27
Let c = 1074 - 655. What is the least common multiple of c and 10?
4190
Let l = 97 + -19. What is the common denominator of (l/88)/(2/4) and (-44*(-198)/240)/(-3)?
110
Suppose w - 81 = -21. Let a(l) = 369*l + 1865. What is the smallest common multiple of a(-5) and w?
60
Let v = 3/1386323 + 33683489883/22181168. Let c = -114445/2 + 58743. Let t = v - c. Find the common denominator of t and -69/4.
16
Let x(d) = d**3 - 6*d**2 - 5*d - 8. Let b = 15 + -8. What is the least common multiple of x(b) and 24/(-14)*(8 - (-304)/(-24))?
24
Let f(s) = -s**3 - 13*s**2 + 5*s - 62. What is the lowest common multiple of 50 and f(-14)?
1600
Suppose 3*h = 4*h + 30. Suppose 480 = -y + 142. What is the common denominator of -25/12 and 10/h - y/(-48)?
24
Let g = -4473 - -143089/32. Find the common denominator of 2 and g.
32
Let w = 9 + -12. Calculate the common denominator of -24/11 and w/4*(1752/9)/(-4).
22
Let m = -103897/6 + 17374. Let n = 63 - m. What is the common denominator of -79/82 and n?
246
Calculate the smallest common multiple of -1 + 15/17 + 13862/493 and 24.
168
Let d be (2 + -3)*3 - -1. What is the least common multiple of 12 and (33 - 9)*-1*d/3?
48
Let s be 2*4/(-40) + 336/5. Let f = s + -33. What is the least common multiple of f and 8?
136
Suppose 24 = 2*z + 2*z. Suppose f = -q + 19, -f - 3*q - 4 = -25. Suppose -f = 29*w - 30*w. What is the lowest common multiple of z and w?
18
Let q be 5/9835*-8290 - 2. Let a = q + -20/281. Calculate the common denominator of a and (-1)/(-3) - (-157)/(-30).
70
Suppose 0 = 5*s + 3*y - 375, 24 = 2*s + y - 125. What is the least common multiple of s and 72?
72
Let r = 30 + -30. Suppose r = 2*p - 4 - 4. Suppose p*h + 18 = 58. Calculate the smallest common multiple of 2 and h.
10
Suppose -12 = 4*m, 6*h + 2*m - 4 = h. Suppose -21978 = h*f - 8*f. Let z = f + -21829/6. Calculate the common denominator of 123/10 and z.
30
Suppose 1034 = -7*u + 54*u. What is the least common multiple of 702 and u?
7722
Suppose 5*x - 118 - 527 = 0. What is the common denominator of 46/(-69) + (-1 - (-2 + 2)) and 3 + -1 - x/27?
9
Let h(w) = 18*w + 1. Let d(b) = -b**2 + 140*b - 2171. What is the smallest common multiple of h(3) and d(18)?
275
Let k = -87/229 - 16947/11450. Calculate the common denominator of -39/50 and k.
50
Suppose -29 = 3*k + 49. Let i = 32 + k. Calculate the smallest common multiple of 8 and i.
24
Let a be (0 - -1)*180/(-9). Calculate the lowest common multiple of 2 and (-14 - a) + 4*1.
10
Suppose 74 = 5*g + 4*f, 12 = -3*g - f + 55. Let j(y) = y + 10. Let c be j(-8). Suppose -v + 66 = c*v. Calculate the lowest common multiple of g and v.
154
Suppose 15*b - 20*b = -25. Suppose 3*s - 27 = -0*s + b*g, s = -3*g - 5. Calculate the lowest common multiple of 16 and s.
16
Suppose 0 = -3*r, 2*n + 2*r - 1 - 15 = 0. What is the smallest common multiple of n and (4 + -10 - 14)/(2/(-2))?
40
Calculate the common denominator of (-54)/(-126) - 5299/25284 and 151/48.
2064
Let w(y) = -3*y - 7. Calculate the smallest common multiple of w(-13) and 8.
32
Let j(y) = -y**2 + 5*y + 1. Let n be j(5). Let h = 223/4 - 153/4. Calculate the common denominator of h and -1 - n - (-244)/(-40).
10
Let t = 16 + -10. Suppose -h + 18 = t. Calculate the least common multiple of h and 16.
48
What is the least common multiple of 36 and (36 - (-3)/(-1)) + (-150)/30?
252
Find the common denominator of (-60)/(-17) - (9 + 64/(-8)) and -111/10.
170
Let z = 126 - 76. Calculate the common denominator of -95/22 and (z/(-28) - -1)*-5.
154
Let g be 3*(-1)/(-3) - 4. Let t be 1270 - (g - (0 - 5)). Let b = -2597/2 + t. Find the common denominator of b and -55/6.
6
Let v be (-4)/8 - 31281/(-66). Let s = v - 475. Calculate the common denominator of s and -25/4.
44
Let r(o) = o**3 - 7*o**2 + 14*o - 16. Let c be r(8). Let v = -393 + 1201. Calculate the common denominator of 49/10 and -1 - -1 - v/c.
20
Let d = 8903 + -409445/46. Let m = -7817/84 - -631/7. What is the common denominator of m and d?
276
Let g = 27 - 24. Find the common denominator of -3*((-2)/30 + -2) and 0/(-13) - 1*g.
5
Let d = -1709/24 + 217/3. Let n = -18 + 6. Find the common denominator of ((-165)/n)/5 + 1 and d.
8
Let d = -73 - -415. Find the common denominator of (78/(-36))/13*d/8 and 59/94.
376
Let a(y) = y**3 - 3*y**2 + 2*y. Suppose 5*m = 21 - 6. What is the smallest common multiple of 2 and a(m)?
6
Let y = -92 + 68. Let g = y + 32. Calculate the smallest common multiple of g and 13.
104
Suppose 3*s + 207 = -4*z + 1476, 2*z = -2*s + 634. Let a be -3 + ((-406)/(-20))/((-3)/(-48)). Let b = a - z. What is the common denominator of -23/10 and b?
10
Calculate the common denominator of (-16)/3*(-729)/(-756) and 65/42.
42
Let c be 1198/12 + (2 - 3). Let l = c + -94. Let b = 2/863 - -66399/22438. Find the common denominator of b and l.
78
Let m(r) = r**3 + 4*r**2 - 4*r - 12. What is the lowest common multiple of m(-4) and 2?
4
Let b be (-4)/((-48)/21)*-8. What is the common denominator of b/(-18)*315/(-60) and 79/78?
156
Suppose -o = 1 - 3. Suppose 5*i + l - 13 = 0, 8*i + 2*l = 6*i + 2. Suppose m = i*s + 6, 2*s - 3*s = 4*m - 76. What is the smallest common multiple of m and o?
18
Let d = -17 - -19. Suppose -4*p + 9 = -3*v + 77, -d*v + 5*p = -43. What is the smallest common multiple of v and 2?
24
Suppose 3*w + 6 = -w + s, 5*s - 14 = 4*w. Let p = w - -15. Calculate the lowest common multiple of 2 and p.
14
Let y be ((-366)/(-9))/(0 - (-8)/12). Calculate the common denominator of (-6)/27*y/(-4) and -93/10.
90
What is the common denominator of 23/7 and ((-7)/(-3) - 1) + 2505/(-495)?
77
Let p = -296581/30 + 9883. What is the common denominator of 53/54 and p?
270
Let h be 68*102*(2 - 1). Suppose 3*y + h = -0*o - 2*o, 5*y + 11573 = o. Let j = y - -25504/11. What is the common denominator of 121/10 and j?
110
Let b = 142 + -112. Suppose t + f = -3*f + 8, 4*f = 2*t - 64. What is the least common multiple of t and b?
120
Let n = 18882 + -264111/14. Let f = 374/7 - n. Find the common denominator of 85/6 and f.
6
Let v = -87041/3912 + -1/3912. What is the common denominator of v and -9/23?
92
Calculate the common denominator of 9 + -1 + 248/24 and (-6)/(-21) + 426/28.
6
Calculate the common denominator of 66/20*(-20)/(-48) + 5 and -149/168.
168
Let w be ((-6)/(-15))/((-2)/(-30)). Suppose w*f = 8 + 52. Calculate the least common multiple of f and 2.
10
Let t(s) = s + 7. Let x(r) = 10 + 1362*r + 2 - 1364*r + r**2 + 0*r**2. Calculate the least common multiple of t(-5) and x(0).
12
Let h(f) be the second derivative of 3*f**5/20 - f**4/6 + f**2/2 - f. Suppose 7 = -2*b + 1, b - 1 = -4*w. Calculate the lowest common multiple of 18 and h(w).
18
Let f = -17087627/150 - -113917. What is the common denominator of f and 89/105?
1050
Suppose -3*n + 56 = -4*q, 0 = 4*n - 29*q + 24*q - 73. Suppose -72 + 18 = -2*a. What is the lowest common multiple of n and a?
108
Suppose 4*b = 5*k - 36, -4*k - 4 = 5*b - 0. Suppose -k*y = 1 - 9. What is the least common multiple of 8 and y?
8
Suppose 2*q - 5 - 139 = 0. Suppose q = 5*r - 93. What is the smallest common multiple of r and 11?
33
Suppose -3*l - 31 = b - 2*b, 0 = -2*b - 10. Let j be ((-18)/l)/((-3)/4). Find the common denominator of -85/2 and (7/(-28))/(j/(-97)).
8
Let n = 5 + -4. Let a be (-3)/n*(2 + -1). Calculate the common denominator of 59/8 and (-17)/7 - 0/a.
56
Suppose -3*s = 2*s + 25, 4*o - 14 = -2*s. Let c = -301 + 53. Calculate the least common multiple of o and (-2)/(-8) - c/32.
