
602
Let b(z) = 3*z + 20. Let q be b(-8). Let t = 11 + q. Calculate the least common multiple of 7 and t.
7
Let u(m) = -80*m + m**2 + 32 + 160*m - 76*m. Calculate the least common multiple of 40 and u(-6).
440
Let i = -1 - -13. Let n(y) = 5*y**2 - 4*y - 7. Let r be n(-2). Suppose 4*c - 20 = 0, -2*p - c = -p - r. Calculate the lowest common multiple of i and p.
48
Let s = -875/2 - -454. Find the common denominator of -103/58 and s.
58
Let b be 12360/(-4)*(0 + -2). Suppose -20*g = -24*g + b. What is the common denominator of -3*1 + g/30 and 59/10?
10
Let x be (152/(-190))/(2/(-50)). Let m = 22 - x. Suppose -8 = -0*l + 4*l, -z - 4*l + 10 = 0. What is the smallest common multiple of z and m?
18
Find the common denominator of -139/66 and (-201)/(-330) - (5 + (-115)/25).
330
Let h(s) = 3*s - 1. Let c(u) = -7*u + 1. Let b(j) = -2*c(j) - 5*h(j). Let t be b(2). What is the common denominator of 29/30 and t/33*(-402)/(-4)?
330
Let l(n) = n**2 + 4*n - 17. Let w be l(-7). Suppose 2*z + 23 = -p - 4*p, -4*z + 4*p = w. Calculate the common denominator of 1/2 and (-583)/70 + z/(-10).
14
What is the common denominator of (-2)/16*(-4850)/(-75) and 57/28?
84
Suppose 136 + 8 = 18*c. Suppose 3*g = -g + 48. Let m = g - c. Calculate the lowest common multiple of 12 and m.
12
Let i = 31891/23478 - 2/1677. Let d(n) = 18*n - 8. Let q be d(1). What is the common denominator of i and (-10)/q - (178/(-20) + 0)?
70
Let v = 10 - 6. Suppose 0 = -v*z + 2*z + 5812. Let u = 29161/10 - z. What is the common denominator of u and 33/8?
40
What is the common denominator of 321/(-270)*(-10)/(-4) and 71/42?
252
Calculate the common denominator of -53/56 and 109/56 - -7*30/(-735).
56
Let s = -556 - -1613/3. Let b = 10657 + -106681/10. Find the common denominator of s and b.
30
Let x be 13/(-11) + (-9)/((-396)/8). Let q(k) = -16*k - 7. Let r = 4 - 3. Calculate the least common multiple of r and q(x).
9
Let t be 175/14 + (-2)/4. Suppose 3*g + t = -3*o, -3*g = o - 0 + 4. Suppose -b - b + 12 = g. Calculate the lowest common multiple of 10 and b.
30
Let k = -223 - -241. What is the least common multiple of k and 72?
72
Calculate the common denominator of (-12)/(-80)*(-183)/(-9) and 7/22.
220
Suppose 162 = 24*u + 3*u. What is the lowest common multiple of 99 and u?
198
Suppose -2*y = n - 17, -y = -5*n - 0*n + 140. Suppose n = 3*o + 3*q, -o - 6 = -2*q - 30. Find the common denominator of 4 - (545/o)/5 and 55/8.
56
Suppose -54 = 5*m - 6*m. Let z = m - 41. What is the lowest common multiple of z and 4?
52
Let x = 1 + 2. Suppose -x*o - 564 = o. Calculate the lowest common multiple of 4/16 - o/12 and 12.
12
Let p = -50 - -48. What is the smallest common multiple of (-1 - (p - 9)) + (-1)/(-1) and 3?
33
Calculate the common denominator of 44/25 and (-7 - 1437/(-60))*4/(-30).
50
Let y be 2/(-4)*-1*-14. Let c = y - -12. Calculate the lowest common multiple of (-9)/6*(-10)/3 and c.
5
Find the common denominator of 6/11 - (-1280)/(-3080) and -29/11.
77
Let y = 43518 + -3829509/88. Calculate the common denominator of 89/154 and y.
616
Let y be (-12)/(-25)*1065/(-6). Let h = 2907/35 + y. Let z = 545 - 1580/3. What is the common denominator of z and h?
21
Let q = 144687/8 - 18094. Find the common denominator of q and -3 + 1 - (-81)/(-39).
104
Suppose 0 = -5*k - 0*k + 260. Suppose 0*v = -4*v + k. Suppose 5 + v = b. Calculate the least common multiple of b and 18.
18
Suppose 14*u = u + 130. Calculate the smallest common multiple of u and 20.
20
Let a(j) = 15*j**2 + 8*j + 7. What is the smallest common multiple of 8 and a(-1)?
56
Let m be ((-10852)/2065)/2 + -1. Let j = -9/590 + m. What is the common denominator of 869/44 - (-8)/2 and j?
28
Let d = 43 - 83. Let j = d - -48. What is the smallest common multiple of j and (2*3)/(2 + -1)?
24
What is the common denominator of ((-4387)/963)/((64/(-6))/(-2)) and -49/30?
240
Let m(a) = 73*a - 155*a + 70*a - 6 - 4. Calculate the least common multiple of 64 and m(-2).
448
Let j be (-3)/(-3 + 0)*-1. What is the lowest common multiple of 12 and (27/(-6) + 6)*(j - -3)?
12
Let x be (-3)/(-1) - (-70570)/(-24). Let v = x + 2928. Find the common denominator of v and (-8)/(-16)*(-66)/(-4).
12
Suppose -12*k + 11*k - 1 = -v, 0 = 5*k + 5*v - 45. What is the least common multiple of 6 and k?
12
Let f be (-1)/((-6)/(-120))*(-1)/4. Suppose 0 = -2*q - 3*v + 3 + 6, f*q + 5*v - 25 = 0. What is the lowest common multiple of q and 9?
18
Let l = 593150141/2860 - 30650943/143. Let k = -34747/5 - l. Find the common denominator of -9/32 and k.
352
Suppose -10*r - 367 + 607 = 0. Calculate the smallest common multiple of 232 and r.
696
Let d(i) = 25*i + 7. Let r be (-13)/(-52) - 6/(-8). What is the lowest common multiple of 32 and d(r)?
32
Let x(u) = 75*u**2 - 7*u - 35. Let t be x(-7). Find the common denominator of 23/5 and t/(-85) + (-4)/(-10).
5
Let v = -18 + 21. What is the smallest common multiple of v and 85/(-15)*-3 - 3?
42
Suppose -t + 0*t = 5*q + 10, 4*t = 5*q + 85. Suppose 0 = -4*m - 1 - t, -4*m - 144 = -4*c. Calculate the lowest common multiple of 9 and c.
288
Find the common denominator of 5 + (-15)/(-2)*77/21 and -27.
2
Let b = 3151 + -34831/11. Let t = b + 53/44. Calculate the common denominator of -93/14 and t.
28
Let u = 79715 - 162545/2. Let o = u + 1523. What is the common denominator of o and -26/3?
6
Suppose -3*p = 5*u - 7*p - 7, -3*u + 11 = p. Let w = -34 + 71. Suppose -u*g = -w - 23. Calculate the lowest common multiple of g and 26.
260
Let l be (1054/(-16))/(7/(-161)). Let t = l + -1508. Calculate the common denominator of 101/6 and t.
24
Suppose -98*n = -1586 - 766. Let k(m) = -m + 10. What is the least common multiple of n and k(6)?
24
Let j(g) = 3*g - 1. Let k be j(4). Suppose -5*a + 0*a = 3*n + k, 2*a - 22 = n. What is the smallest common multiple of 3 and (-1)/((2/1)/n)?
6
What is the common denominator of 138/(-759)*(-43)/14 and 27/98?
1078
Calculate the smallest common multiple of 36 and (-11)/(198/27)*(-1 + -23).
36
Let h(l) = 2*l**2 - 32*l + 29. Let a be h(15). What is the common denominator of 53/132 and a + (4/18 - (-7690)/(-180))?
132
Let p = -86 - -41. What is the common denominator of 1/6 and 4/8 - (-4 + p/(-8))?
24
What is the common denominator of (121/(-270)*-5)/(0 - 2) and 101/2?
108
Suppose -4*p + 59 = 3*d, -p - 1 = -3*d - 12. Suppose -p*f = -12*f - 6. What is the smallest common multiple of 12 and f?
12
Suppose -4*d - 64 = -5*s - 228, 5*s = d - 56. What is the common denominator of 213/d - (5 - 1) and 46/9?
36
Let o = 429 - 427. What is the lowest common multiple of o and 2?
2
Let w(z) = -z + 7. Let x be w(6). Calculate the smallest common multiple of 96 - (-2 + 0)*x and 4.
196
Let u(j) = -99*j - 12. Let p be u(-5). What is the common denominator of -5 + 8 + p/(-66) and 47/12?
132
Let v = -25375326 - -406154795/16. Let z = -9353 + v. Find the common denominator of z and (-2)/3 + (-42)/(-36).
16
Suppose y + 5*c - 44 = 0, 2*c - 212 = -7*y + 3*y. Calculate the common denominator of ((-6)/y*1)/((-1)/213) and 55/2.
6
Let o be 3 - -4 - 2 - 3. Suppose -g + 41 = -4*a, g = -o*a + 7 + 22. Calculate the least common multiple of 6 and g.
66
Let j = 58 + -4. Calculate the lowest common multiple of j and 81.
162
Let u be (4/(-6))/(8/(-861)). Let i = 491/8 - u. Calculate the common denominator of -77/8 and i.
8
Let d(f) = 2*f + 2. Let c = 14 + -10. Suppose -4*n - 16 = -2*j, 44 = c*j + 5*n - 1. Calculate the least common multiple of j and d(5).
60
Suppose 5*k = 2*r + 17, -77*r + 79*r - 2*k = -2. What is the least common multiple of r and 10?
20
Let b be ((-3)/18)/(30/6993). Let u = b - -8473/180. What is the common denominator of 11/7 and u?
63
Let q(j) = j**2 + 4*j - 1. Let n be q(-8). Let i be 1 - (-4)/(-8)*(-1 - 1). Suppose n = -i*v + 183. Calculate the least common multiple of v and 18.
684
Let x(g) = g**3 + 4*g**2 - 3*g - 3. Let p be x(-3). Suppose -c - n = -p, 4*c + 7*n - 57 = 2*n. Calculate the lowest common multiple of c and 6.
18
Let i = -349 - -404. What is the lowest common multiple of 88 and i?
440
Let n = 66 - 44. Suppose -5*m + 4*k - 14 = -3*m, -m = 5*k - 21. What is the smallest common multiple of n and (-10)/((-1)/m) - 0?
110
Let s be 2/(-4)*1*2. What is the common denominator of (-3824)/(-2240) + s/(-7) and -131/18?
180
Let q = 1679/78 + -191/