
Let m = 238 - 392. What is the common denominator of m/(-12)*1/2 and 67/12?
12
Suppose 109 = -4*a + 113. What is the smallest common multiple of a and 115?
115
Let u(j) = 3*j + 205. Let w be u(0). Calculate the common denominator of 68/35 and 4 - -1 - 1 - w/35.
35
Let t be 152/10 + (31/(-5) - -6). Calculate the common denominator of (((-142)/t)/(-2))/(16/(-20)) and -151/12.
12
Let c = -31321/950 - -585/19. Calculate the common denominator of -19/4 and c.
100
Let k be -2*1/(-4)*2. Let o be ((-4)/2 + k)*1. Calculate the common denominator of 35/18 and (o + (-6)/(-40))*-1.
180
Let b = -7843/6 + 1303. Find the common denominator of b and 127/708.
708
Let x = -377777/20 + 18885. Find the common denominator of -113/60 and x.
60
Let c = 123 - 138. Calculate the common denominator of (254/(-30))/((-2)/5) and (c/6)/(5/(-20)*-4).
6
Let m = -19 - -11. What is the common denominator of -65/6 and 134/m*(5 - (-19)/(-3))?
6
Calculate the lowest common multiple of (-1 - -15) + 1 + 3 and 24.
72
Let a = 2603/7308 + 1/1044. Calculate the common denominator of (2 + 26/8)/9 and a.
84
Let a(w) = w**2 + 5*w + 9. Let q(z) = z + 1. Let r(h) = -a(h) - 6*q(h). Let g be r(-8). Suppose -2*v + g = -35. What is the least common multiple of v and 20?
220
Let t(o) = 36*o - 45. Let b be t(5). Calculate the common denominator of (90/(-200))/((-6)/b) and -151/6.
24
Let j be 62/(-10) + (21/5 - 5). What is the lowest common multiple of 70 and 1/3*(5 + j - -56)?
630
Find the common denominator of -63/178 and (7/385)/((-6)/1035).
1958
Let g = 2 + 3. Suppose -g*a + 10*a = -5*d + 85, -5*d + 5*a + 65 = 0. Let x = d + -6. What is the smallest common multiple of x and 9?
9
Let h(d) = d**2 + 9*d - 3. Let t be h(-8). Let w = -2 - t. What is the smallest common multiple of (44/(-6))/((-3)/w) and 20?
220
Let s = -292106294/96291 - -244/10699. Let a = 3042 + s. Let c = -77351/3315 - -1/3315. What is the common denominator of c and a?
9
Let p(v) = -3*v - 21. Let l be p(-9). Let d(y) = 6*y - 32. What is the lowest common multiple of d(l) and 20?
20
Let k be (-6)/4*(-36)/27. Suppose 4*r = z - 5, -15 = -3*z - r - k*r. What is the smallest common multiple of z and 2?
10
What is the common denominator of -10/3 and 3/(45/(-2))*3336/96?
30
Let z = 27 - 39. What is the common denominator of -25/4 and (0 - 1)*236/z?
12
Let d = -56 - 288. Let c = 2396/7 + d. Calculate the common denominator of 9/4 and c.
28
What is the common denominator of (2 + (-29)/15)*(-10561)/(-1074) and 179/390?
1170
Let q = 52 - 49. Suppose -8*x + 17 = -55. Calculate the lowest common multiple of q and x.
9
Let r(n) = -n**3 + 12*n**2 - 6*n - 14. Let u be r(10). Calculate the common denominator of (u/(-77))/(-9) + (-2)/4 and 109/14.
154
Suppose 5*z + d - 62 = 0, 3*d + 14 = 2*z - 4. Suppose 9*a + 60 = z*a. Suppose -5*n = -102 + 12. Calculate the lowest common multiple of n and a.
180
Let t(a) = -53*a**2 + 147*a**2 - 9 - 45*a**2 - 10*a - 50*a**2. What is the least common multiple of 92 and t(-5)?
368
Let x = -1944 - -2754. What is the smallest common multiple of 18 and x?
810
Let x(q) = -7*q**3 + 3*q**2 + 2*q. Let z(m) = -14*m**3 + 7*m**2 + 5*m. Let w(l) = 5*x(l) - 2*z(l). What is the smallest common multiple of 9 and w(-1)?
72
Calculate the common denominator of (-21)/4 + 649/(-55) + 12 and 99/238.
2380
Let m = -78 - -90. Suppose -m*w = 21 - 189. What is the least common multiple of 28 and w?
28
Let i = 803/5 - 12953/80. Find the common denominator of 298/56 + 1/(-4) and i.
112
Suppose 0 = -i - 4*i + 10. Suppose i*t + 3*t = 50. Let w(h) = -h**3 + 7*h**2 + 10*h + 2. What is the least common multiple of w(8) and t?
90
Suppose 2*o = o - 5*i + 29, 2*o + 2*i - 34 = 0. Let a = -7 + o. What is the common denominator of 83/10 and (-3)/(60/a) - -1?
20
Let i = -3 - -8. Suppose -4*p - 3*b = -0 - 17, 25 = 5*p + i*b. What is the least common multiple of p*2 + -1 + -2 and 5?
5
Calculate the least common multiple of (-6 - (-52)/8) + 394/4 and 99.
99
Suppose -60*b + 522 = -31*b. Calculate the least common multiple of b and 30.
90
Let l = 19849 + -87859. Let f = l + 169004852/2485. Let p = 28333/4970 - f. What is the common denominator of -67/2 and p?
10
Let u(o) = o**2 + 15*o + 10. Calculate the least common multiple of u(-15) and 70.
70
Let i = 29 - 22. Let p be (1 - i) + 3 - -9. Suppose -o - 12 = -4*g, -o + p + 18 = 5*g. Calculate the lowest common multiple of o and 2.
4
Suppose 227 = 7*g + 73. Calculate the smallest common multiple of g and 44.
44
Let m be (-11)/22*-2*41*-1. What is the common denominator of ((m/2)/((-8)/24))/15 and 79/24?
120
Let p(d) = d - 9. Let c(z) = z**2 + z + 1. Let u be c(-4). What is the lowest common multiple of 10*4/(-8)*-1 and p(u)?
20
Find the common denominator of -5/9 and (6/(-16))/(338/76 + -2).
1116
Let n be ((-4)/(-5))/(6/15). Suppose 0*r - 5*r - 1 = -d, n*d + r = 24. What is the smallest common multiple of d and 12?
132
Suppose -a + 3*o = -10, -12*o + 7*o = 3*a - 44. What is the lowest common multiple of a and 8?
104
Suppose -2*k = -k - t - 9, 4*k = -2*t + 36. Let m = k - -8. Let c = m + -3. Calculate the smallest common multiple of c and 2.
14
Let w be 6/33 + 369/(-33). Let b(r) = -r**2 - 11*r + 8. What is the least common multiple of (28/35)/(1/25) and b(w)?
40
Suppose -3*u + 5*u = 2. Let v(k) = -k. Let q(w) = 24*w. Let l(d) = 4*q(d) + 84*v(d). What is the lowest common multiple of l(u) and 6?
12
Suppose -2*k + l = -201, 13*l - 14*l = -5*k + 501. What is the lowest common multiple of 9 and k?
900
Let a(l) = -63*l**3 + 2*l**2 + l - 1. Let v be a(-1). Suppose -u = -4*h + 78 + 11, v = 3*h + 3*u. Calculate the least common multiple of (-1)/3 + 61/3 and h.
220
Let u = -13679/5930 - -4/593. Find the common denominator of u and -121/1670.
1670
Suppose 3*p + 12 = v, -2*p - 7 - 1 = 0. Suppose -5*m + 1 + 49 = v. Suppose 9 = 4*y - 47. What is the smallest common multiple of m and y?
70
Let h(u) = 4*u**3 + u**2 - 3*u + 3. Calculate the lowest common multiple of 84 and h(1).
420
Suppose 0 = -6*i + 29 + 151. Find the common denominator of -101/6 and ((-206)/i)/(4/(-6)).
30
Suppose -4*c + 23 + 17 = 0. Suppose -4*l = -18 + c. Calculate the common denominator of -28/5 and (-1)/(((-30)/(-275))/l).
15
Let c be 6/8 + 81/(-12). What is the least common multiple of (c*4/(-16))/((-2)/(-24)) and 51?
306
Suppose 0*a + 3*a + 558 = 0. What is the common denominator of ((-1344)/(-1080))/((-1)/5) and (2/9)/((-4)/a)?
9
Suppose -v - 4*w = 52, w - 164 + 33 = 2*v. Find the common denominator of (2 - 0)/(56/114) and 0 + -2 + 124/v.
112
Let l = 3633 + -14505/4. Let d = -75671/12872 + 6/1609. What is the common denominator of d and l?
8
Suppose 0*k + 5*k = -2*n + 77, -k + 57 = 2*n. Calculate the smallest common multiple of n and 12.
156
Let k = 26 - 12. Let h(l) = l**2 - 11*l - 17. Let z be h(k). Let g = z + -15. What is the lowest common multiple of g and 3?
30
Let f = 215/12 - 27/4. Let p = -41287/18 + 2293. Calculate the common denominator of f and p.
18
Let t(s) = -11*s + 7. Let x(h) = -13*h + 7. Let w(q) = 7*t(q) - 6*x(q). Calculate the least common multiple of w(17) and 6.
24
Suppose f = 3*n - 4*f + 16, -5*n + 4*f = 5. Let d be 343/14 + -1 + (-2)/(-4). Suppose -9*l + d + 12 = 0. Calculate the least common multiple of n and l.
12
What is the smallest common multiple of 2*1/(-4) + 18/4 and 25?
100
Let j(b) = 7*b - 10. Let u(x) = -15*x + 21. Let f(s) = 13*j(s) + 6*u(s). What is the smallest common multiple of 18 and f(6)?
18
Let h(f) = -2*f**3 - 8*f**2 + 2*f + 8. Calculate the lowest common multiple of h(-6) and 40.
280
Let j = 446 + -418. Suppose 0 = -5*p + 5*x + 65, 3*p - 33 = 2*p + 5*x. Calculate the least common multiple of j and p.
56
Let o = 366419/90 + -4071. Find the common denominator of o and 71/15.
90
Let a(x) = 2*x**2 + 5*x + 5. Let d be a(-2). Suppose 4*g - 68 = c, 5*g + c + c = 85. Let p = g - d. What is the lowest common multiple of 14 and p?
14
Let m = 33/932 - 50225/10252. Find the common denominator of m and -139/120.
1320
Let q(u) = 3*u. Suppose -1 - 7 = -4*r. Calculate the smallest common multiple of 14 and q(r).
42
Suppose -5*d - 3*c + 425 = 0, 7*d - c = 5*d + 181. What is the lowest common multiple of 44 and d?
88
Let b = 18137 + -1596079/88. Calculate the common denominator of 48/121 and b.
968
Let v = 6229 - 7