**5 + 0*j**3 + 1/24*j**4 + 0*j. What is the lowest common multiple of 2 and u(-2)?
18
What is the least common multiple of 12 and -237*(32/(-6))/4?
948
Let f(v) = 3*v**3 + v**2 - 3*v - 3. Let k be f(-2). Suppose -16*x - 300 - 68 = 0. Let a = k - x. What is the smallest common multiple of 9 and a?
18
Let s = 15/38 - -2/19. Suppose -x = 4*t + 268, -x + 17 = -t - 45. Let r = -111 - t. Find the common denominator of r and s.
2
Find the common denominator of 55/56 and (-8295)/(-3780)*3/(-2).
168
What is the lowest common multiple of 446 and 2 - -4 - -2 - 6?
446
Calculate the common denominator of 1/(((-136)/(-102))/(214/(-180))) and -107/300.
600
Let p be 15/5 - (1 - 2*-1). Calculate the common denominator of ((-37)/(-3) - p)/(336/36) and -9/44.
308
Suppose -8*k + 4*k + 408 = 0. What is the least common multiple of 18 and k?
306
Find the common denominator of 59/125 and (5/15)/(16/876).
500
Suppose -3*b - 20 = -7*b. Suppose -3*n + b = -2*n. Suppose 2*l - n = -1. Calculate the lowest common multiple of 16 and l.
16
Let q(y) = 2*y**3 - y**2 - y + 2. Let k be q(2). Suppose -k*r + 48 = -0*r. What is the lowest common multiple of 22 and r?
44
Let p(t) = -80*t**2 - 2*t + 2. Let s be p(1). Find the common denominator of 53/22 and (-4)/10 - (1062/s + 1).
88
Suppose 5*x = -3*y + 8 - 1, 3*x - 5 = -2*y. Suppose 0*c = y*c - 816. Find the common denominator of -11/6 and (1/4)/((-2)/c).
6
Let o = 4/637 + -51629/5096. Let s be (-1)/(-4) + (-334)/(-12). Let a = -67/4 + s. What is the common denominator of o and a?
24
Suppose 9 = -3*h - 0. Let w be (-1)/(-1*h/(-162)). Calculate the common denominator of -3/32 and (-2)/w*(-30)/4.
288
Suppose 4*i = 4*u - u + 34, -3*u + 56 = 5*i. Suppose 3*j = -4*h + 3 + 4, 4*j = h + 3. Calculate the lowest common multiple of i and j.
10
What is the lowest common multiple of 1/(-3) + (-209)/198*-6 and 26?
78
Calculate the least common multiple of (-8)/16 - (-66)/4 and ((-65)/26)/((-2)/8).
80
Find the common denominator of 95/312 and 1*340/(-2448)*79/5.
936
Let l = 58 + -52. Calculate the smallest common multiple of 24 and l.
24
Let v = 505/3 + -178. Calculate the common denominator of v and 12/43.
129
Suppose -9*m - 13 = -8*m. Suppose -19 = 5*q - c, -3*c + 17 = -4*q - q. Let o = q - m. What is the least common multiple of 9 and o?
9
Suppose -3*w - 18 = -2*j, 5*j + 2*w - 3*w - 58 = 0. Calculate the common denominator of 39/(-26)*59/3 and (9/6)/(j/(-83)).
8
Calculate the common denominator of -157/30 and ((-6)/(-324))/((-20)/(-2235)).
360
Suppose 4*p + 2*x - 14 = 0, 0*p - 5*x - 13 = 2*p. Suppose 22 = 4*s + p. Suppose -16 = -0*a - 2*a. What is the least common multiple of a and s?
8
Let y = 201635/18 - 11199. Calculate the common denominator of -109/30 and y.
90
Let w = 1583/3 - 530. Find the common denominator of 64/189 and w.
189
Calculate the common denominator of -79/45 and ((-289)/2125)/(2/(-15)).
450
Suppose -24*x - 84 = -30*x. Let o = 9 + 0. What is the lowest common multiple of o and x?
126
Find the common denominator of 107/132 and (-4 + (-104)/192)*2/(-3).
396
Let m be 4/(-10) + 156/15. Let b = -1815/2 + 938. Find the common denominator of b and (-4)/m - 179/40.
8
Let s(x) = 11*x + 12. Let v(r) = -7*r - 8. Let l(z) = 5*s(z) + 8*v(z). Calculate the smallest common multiple of l(-14) and 4.
20
Let y = 690 - 470. Calculate the common denominator of -22/5 and (-18)/(-20)*y/64.
160
Suppose 3*g = -5*k + 190, -2*k - 2*g + 60 = -20. What is the smallest common multiple of k and 200?
1400
Suppose 5 + 5 = 2*d. Suppose d*c - 8 = 47. Calculate the smallest common multiple of (-1)/3 + (-50)/(-6) and c.
88
Let d be (-614)/(-12)*30/20. Let s = d - 625/8. Calculate the common denominator of 109/54 and s.
216
Let n = -140201/12 + 11694. Calculate the common denominator of (-10)/(-25) + (-137)/(-20) and n.
12
Suppose 3*r - 4*f = 14, -2*r = f + 3 - 5. Let p be (r + -129)/((-28)/(-77)). Let y = p + 363. What is the common denominator of -2 and y?
4
Let z(a) = a**3 - 4*a**2 + 4*a - 2. Let i be z(3). Let s be i/(1 - (-8538)/(-9)). Let k = 349659/28430 - s. Calculate the common denominator of -23/14 and k.
70
Let i be (-3 + -1 - -1) + -5. What is the lowest common multiple of 1 and i/3*(-90)/24?
10
Suppose 0 = -4*s + 9*s - 45. Suppose 0 = 9*p - 7*p - 36. What is the lowest common multiple of s and p?
18
Let s = 28774/7 + -2243861/546. Find the common denominator of s and -69/14.
546
Let b = -4298575/128 - -33582. Calculate the common denominator of b and 99/8.
128
Let d = 254 + -239. What is the least common multiple of 1092 and d?
5460
Suppose -q + 2*q - 2 = 0. Let r be ((-3)/1 + 1)*30/(-20). Suppose q*i - 2 = 5*f - r, -i = 4*f - 6. What is the smallest common multiple of 20 and i?
20
Let q(p) = p**2 + 9*p + 3. Let v be q(-6). Calculate the lowest common multiple of (-480)/v - 2*1 and 3.
30
Let m = -887 - -1847/2. Let n be -5*-11*8/10. What is the common denominator of ((-2)/n)/((-2)/40) and m?
22
What is the least common multiple of (-4)/((-5)/(945/12)) and 63?
63
Let s(i) = i**3 - 5*i**2 - 7*i + 9. Let d be s(6). Let c = d - 1. Suppose -3923*t = -3932*t + 198. What is the least common multiple of t and c?
22
Calculate the smallest common multiple of 279/12 - 4 - (-15)/(-12) and 164.
1476
Let i(h) = -h**2 + 19*h + 8. What is the lowest common multiple of 119 and i(17)?
714
Suppose 0 = 3*r + 8789 - 581. Let v = r + 82111/30. What is the common denominator of v and 47/15?
30
Let x(y) = -3*y**2 - 2*y - 1. Let j be x(-1). Let f be -5*(-33)/((-6)/j). What is the common denominator of -69/4 and f/20*(-18)/5?
20
Let u = -83271 + 33724732/405. Find the common denominator of u and -5/12.
1620
What is the common denominator of ((-42)/32)/((-45)/(-165)) and -161/450?
3600
Let m(y) = -2698*y + 3. Let o be m(-1). Let b = o + -75573/28. What is the common denominator of b and -2 - 3*(-29)/14?
28
Let y be (3/12 + -2)*(-21 + -3). What is the smallest common multiple of 9 and 14/(-5)*(-315)/y?
63
Let a = 48 - 36. Calculate the smallest common multiple of 2 and a.
12
Let o = 187 - 75. Suppose a = -3*l + 44, 4*a + 0*a - 4*l - o = 0. Suppose 2 = -x + 22. What is the least common multiple of a and x?
160
Let v = 7150/9 - 143837/180. Find the common denominator of -139/192 and v.
960
What is the common denominator of (-6*(-1140)/288)/((-48)/(-3)) and 53/48?
192
Suppose 9 + 12 = 3*m - 3*x, -5*x = -2*m - 1. Suppose 0 = -d + 15*d - 84. What is the least common multiple of m and d?
12
Let q = -44587/14598 + -1/811. What is the common denominator of -13/180 and q?
180
Suppose 5*x + 29 = 94. Let z = -63 - -58. Calculate the least common multiple of x and (-7)/(70/(-25))*(-6)/z.
39
Let f = -49 + 151. What is the least common multiple of 561 and f?
1122
Let w = -20 - -25. Suppose 3*s = 11 - w. What is the lowest common multiple of 2 and s?
2
Let v = -65672/11187 + 717/113. What is the common denominator of -79/63 and v?
693
Suppose -3 = -w + 1. Let f be 42 + -3 + 0 + 1. Suppose -m = m - f. What is the least common multiple of m and w?
20
What is the common denominator of ((-5)/(-360))/((-33)/2068) and 111/88?
2376
Suppose 0*b + 4*b - 3*s - 14 = 0, -4 = -3*b - s. Calculate the common denominator of -107/6 and b/6 - 580/(-168).
42
Let j be (-1)/11*-16*(-459884)/(-136). Let d be ((-1966)/2)/(1/5). Let s = j + d. Calculate the common denominator of s and 37.
11
Let j(w) = -2*w**2 - 28*w - 21. Calculate the least common multiple of j(-13) and 1/2*(15 - -5).
10
Let s = -179 + 251. Suppose 3*c + c - s = 0. Let u(j) = -3*j - 6. What is the least common multiple of c and u(-6)?
36
Let j = 1295566/186231 - 2/8097. Let l = -2279079 + 314510125/138. Let d = l + j. Find the common denominator of d and 5/16.
48
Suppose 3 - 39 = -s. What is the smallest common multiple of 101469/3576 + 3/(-8) and s?
252
Suppose 3 = x - 1. Calculate the smallest common multiple of (-2)/x + (-36)/(-8) and 1/(-2) - (-69)/2.
68
Let l(p) = -p**2 + 7*p. Let n be l(7). Suppose 0 = -5*y - n*y + 60. Calculate the smallest common multiple of 16 and y.
48
What is the least common multiple of 45/(-5) + -6 + 163 and 111?
444
Suppose -3*l + 4*v = 12, l - v + 4 = -3*v. Let o = -3388 - -13451/4. Calculate the common denominator of o and (-3 + 13)*19/l.
4
Suppose 2*i - i = -19. Suppose 7 = -2*x + 3*v + 46, 0 = 5*v - 25. 