))/(3/243).
12
What is the common denominator of (-42112)/(-1680) + (-2)/5 and 103/24?
24
Suppose 3*l - 33 = -4*c, 0*c + 4*l = -2*c + 14. Suppose -c*t = -2*t - 126. Calculate the smallest common multiple of t and 4.
36
Let z(w) = w**2 + 11*w + 2. Let o = -50 - -83. Let f = o + -17. Calculate the least common multiple of z(-12) and f.
112
Let w be (1 - 0)*25/(-10). Let o = 11/10 + w. What is the common denominator of o and -46?
5
Suppose -2*s - x + 2 = 0, 0 = 3*s + 5*x - 32 + 15. Calculate the common denominator of (-1270)/(-15)*s/(160/(-4)) and -13/6.
60
Let c(y) = y - 24. Let b(g) = 1. Let j(u) = -4*b(u) - c(u). Calculate the smallest common multiple of 30 and j(9).
330
Suppose -9*k = -x - 103, 7*k + 2*x + 30 = 9*k. Let j = -21 + 38. What is the common denominator of k and j?
1
Let q be 5 - (0 + 12 - 5). Let w(j) = -j**2 + 3*j - 6. Let p(k) = -k + 2. Let y(r) = -11*p(r) - 4*w(r). What is the smallest common multiple of 22 and y(q)?
220
Let l(x) = -4*x - 46. Let c be l(-16). Find the common denominator of -81/4 and 4/(-21) + (-11)/((-66)/c).
84
Let x = -404 - -569. What is the lowest common multiple of x and 121?
1815
Suppose 11696 = 58*n + 1952. What is the lowest common multiple of n and 105?
840
Let q(o) = -13*o + 2. Suppose 0 = -5*d - 7 - 3. What is the lowest common multiple of 16 and q(d)?
112
Find the common denominator of -85/12 and (-10)/((-1590)/9)*5.
636
Let n = 49893121/63 + -791973. Let l be 69/23 + 310/(-14). Let w = l - n. What is the common denominator of -111/10 and w?
90
Let o = 1054888/7 + -151775. Let i = o + 1070. Find the common denominator of 2/11 and i.
77
What is the common denominator of -51/2 and (-3)/(-15)*(-2960)/608?
38
Let t = -45757/28884 + 2/2407. What is the common denominator of -13/16 and t?
48
What is the common denominator of -76/15 and 4/(-38) + -9 + 318918/35226?
1545
Let a(i) = i**2 + 16*i + 16. Let v be a(-15). Let q be v - (342482/52008 + -2). Let t = q - -4/2167. What is the common denominator of t and -13/18?
36
Suppose -385 - 35 = -6*f. Calculate the lowest common multiple of f and 15.
210
Suppose -20*c = -21*c + 8. Suppose 4*b - c = -2*w, -4*w + w + b = -12. Calculate the least common multiple of 5 and w.
20
What is the common denominator of 59/56 and (66/32)/((-1)/3)?
112
What is the common denominator of 1410/(-210)*(-7)/(-12) and -57/4?
12
Let n = 1076 - 75307/70. Find the common denominator of 53/190 and n.
1330
Let t = -508179/106 - -4794. Let d be (558/(-318))/(12/117). Let p = t + d. What is the common denominator of p and 101/10?
20
Let z(a) = -11*a + 65. Calculate the lowest common multiple of z(4) and 24.
168
Let n be 1/(((-12)/(-15))/4). Let d = n + 3. Let t = -227 + 228. Calculate the lowest common multiple of d and t.
8
Let r = -1/222 + -59/36186. Calculate the common denominator of 43/11 and r.
1793
Suppose 3*l - 21 = -3*z, -43 - 10 = -4*z + l. Let n(j) = -8*j**2 + 647*j + 102. What is the least common multiple of n(81) and z?
84
Suppose -j + h - 25 = 0, 2*h - 8 + 42 = -2*j. What is the common denominator of -4 + ((-6)/j - 374/280) and 145/12?
60
Let b = -1 - 1. Suppose 2*p + 6 = -3*t, 0*p = -4*t - p - 8. What is the lowest common multiple of b/(t/((-4)/(-4))) and 6?
6
Suppose 4*o + 12 = 2*f + 10, 0 = 5*o - 15. Suppose 3*t + f = 88. What is the lowest common multiple of t and 27?
27
Suppose 14 = a - 3*l, -4*a - 3*l + 4*l = -23. What is the least common multiple of 11 and a?
55
Let k = 2/43355 - -6459871/520260. Calculate the common denominator of k and 2/(-3) - (602/24 - (-14)/(-2)).
12
Suppose 6 = -3*q + 15. Let l = 45 + -25. Calculate the lowest common multiple of l and -7 + 6 - (0 - q).
20
Let z be (10 + -4)/(6/16). Calculate the lowest common multiple of -1 + 7 - z/(-4) and 38.
190
Let c(j) = -j**3 - 7*j**2 - 9*j - 9. Suppose -6*t + 5*t = -2. Suppose 5*m = -3*n + t*n - 8, 14 = 2*n - 5*m. Calculate the least common multiple of c(-6) and n.
18
Suppose -3*f - 2*x = 2, -2*x + 12 = 2*f + 16. What is the smallest common multiple of f and 294?
294
Let g be (-3)/(-1)*(3 + 65/3). Let v = g + -62. Calculate the least common multiple of v and 22.
132
Suppose 0 = -2*b + 6 + 12. What is the lowest common multiple of b and 57?
171
Let l(a) = -94*a - 28. What is the least common multiple of 24 and l(-2)?
480
Suppose 4*w - 14 - 78 = 0. Suppose -4*n - n + 2*y = 0, -3*y + w = 4*n. Suppose 3*s - n*s = 8. What is the least common multiple of s and 12?
24
Let x = 25699 + -1028061/40. What is the common denominator of -13/8 and x?
40
Suppose 0 = -p + 3*p + 16. Let t be 2/(-2)*(6 + p). What is the least common multiple of (1/(-2))/(t/(-44)) and 2?
22
What is the least common multiple of ((-30)/35)/((-6)/364) and 12?
156
Let p(t) = -t**2 + 5*t + 1. Let q be p(4). Suppose -17*n = -12*n - q. Calculate the smallest common multiple of 7 and n.
7
Let z(g) = -g**3 - 4*g**2 - 4*g. Let j(i) = -i**2 - 6*i + 3. Let n be j(-7). What is the least common multiple of 7 and z(n)?
112
Suppose 0 = 18*w - 168 - 156. Calculate the lowest common multiple of w and 30.
90
Let x = -18111/14542 - -12/661. Let c = 13141/1210 + -92/121. What is the common denominator of c and x?
110
Let w = -74/5 + 527/40. Let v = w - -191/40. What is the common denominator of (-12)/(-8)*(-11)/3 and v?
20
Let s(y) = 5*y**3 - 7*y**2 + y + 6. Let n(u) = 11*u**3 - 15*u**2 + 3*u + 13. Let q(l) = 4*n(l) - 9*s(l). What is the lowest common multiple of 22 and q(-2)?
132
Let r = -79 - -95. Let c = 11 + -3. Calculate the smallest common multiple of r and c.
16
Suppose 2*j + y + y - 6 = 0, 0 = -j - 3*y + 5. Suppose j*k + 4*r + 1 = 15, 5*r = 0. What is the lowest common multiple of (-9 - -49)/5 - 6 and k?
14
Suppose -3*t + 103 = 4*i, 2*i + 0*t = 2*t + 48. Suppose 187 = 68*v - 225 + 4. Calculate the lowest common multiple of v and i.
150
Let w(p) = -p**2 - 21*p - 14. Let m be w(-20). Suppose 2*n = -n - m. Find the common denominator of 5/((-65)/n)*4 and 1/5.
65
Let m be (-15)/(-35) - (-128)/28. Suppose -m*n + 64 = -76. What is the common denominator of -93/2 and n?
2
Let t(q) = 2*q**3 - 3*q**2 + 2*q - 3. Suppose -9 = 3*m - 93. Suppose -m = -4*j + 4. What is the least common multiple of t(2) and j?
40
What is the smallest common multiple of 7 and ((-117)/(-18))/(9/54)?
273
Let y(s) = s - 1. What is the least common multiple of y(3) and 20?
20
Let q(d) = 8*d - 18. Let u be q(6). Suppose 6*m - u*m + 168 = 0. Calculate the least common multiple of m and (1 + 0)/(1 + 0).
7
Suppose -2*f + 11 = -f + 5*o, 0 = 5*f + 4*o - 13. Suppose 5*q + 52*q = 114. What is the least common multiple of f and q?
2
Suppose 3*f + 7 = 55. What is the smallest common multiple of 90 and f?
720
Let h = -2849/9 - -216335/684. Let k = h - -677/456. What is the common denominator of k and 31/9?
72
Let c = -506 + 734. What is the smallest common multiple of c and 15?
1140
Let q = 2/2919 - 1609/834. What is the common denominator of (-46)/(-3)*(1 + -7 + 342/54) and q?
126
Let a = -16152415/4 + 240788327/60. Let z = -24969 - a. Find the common denominator of z and -37/57.
570
Let c = -2 + 0. Calculate the common denominator of (3/44)/(c/(-108)) and (2/4)/(264/(-696)).
22
Suppose 2*j + 4*x - 52134 = 0, 5*x + 4350 = -j + 30414. Let w = -782209/30 + j. What is the common denominator of 37/6 and w?
30
Find the common denominator of -49/16 and ((-57)/10)/((-380)/10 - 22).
400
Find the common denominator of 111/40 and (-3)/11 - (-62788)/58080.
120
Let w = -59 - -77. What is the least common multiple of w and 15?
90
Let n(w) = -2*w**3 + 15*w**2 - 6*w - 12. What is the smallest common multiple of n(6) and 32?
480
Let w(z) = -2*z - 5. Let m(b) = -b**3 + 11*b**2 + 10*b + 26. Let f = 133 - 121. What is the lowest common multiple of m(f) and w(-6)?
14
Let i(s) = -s**2 + 10*s - 10. Let a be i(5). Let h(y) = -y**3 + 16*y**2 - 16*y + 19. Let k be h(a). What is the lowest common multiple of (k/6)/(1/9) and 16?
48
Let w be ((-1)/4299)/((-4)/24). Let z = w + -45870/10031. Find the common denominator of 7/(20/3*72/(-48)) and z.
70
Find the common denominator of (-49)/98 - (-102)/(-56) and -83/14.
28
Find the common denominator of -61/18 and 462/(-968) - 2/6.
396
Suppose 3*g = -z + 91, 4*g + 286 = 2*z + z. What is the lowest common multiple of z and 8?
376
Let s(n) = -n - 3. Let p be s(1). What is the smalle