t w = j - 1921. Let d = -6875/6 - w. What is the common denominator of d and 31/2?
6
Suppose -5*y + 110 = 3*l, -3*y + 2 - 80 = -3*l. Suppose -5*k + 0*k = -l. What is the smallest common multiple of 28 and k?
84
Let s(c) = -13*c + 1. Let x be ((-14)/21)/(1/(-12)). Suppose 0 = -3*u + x + 4. Calculate the smallest common multiple of s(-1) and u.
28
Let p = -263/120 - -1651/440. Calculate the common denominator of p and -59/3.
66
Suppose 0 = -2*v + 4*v - 192. Let d(x) = x - 10. Let s be d(22). Let z(r) = -3*r**2 + 38*r - 8. Calculate the smallest common multiple of z(s) and v.
96
Suppose 0 = 5*u + 6*u - 22. Suppose -5*i = -5*w - 25, -u*i = -i - 5*w + 15. Calculate the smallest common multiple of i and 36.
180
Suppose 7 = r + 13. Let i be (-168)/(-30) + r/10. Suppose -5*u = 2 + 23, 5*x + 2*u + i = 0. Calculate the smallest common multiple of x and 5.
5
Suppose -l + 5*c - 6095 = 2444, -2*c = 10. Let v = l + 273965/32. Calculate the common denominator of -109/18 and v.
288
Let i = 86 + -61. Calculate the smallest common multiple of 30 and i.
150
Let c(u) = -u**3 - 4*u**2 + 18*u + 7. Suppose 4*h - 23 = 9. What is the least common multiple of h and c(-7)?
56
Let z = -25 - -27. Suppose -41 - 19 = -z*y. What is the least common multiple of y and 18?
90
Calculate the least common multiple of 2 + (-21)/14 - 414/(-4) and 78.
312
Suppose 5*o + 0*o = -3*k + 100, 135 = 5*k + 2*o. Calculate the least common multiple of k and 55.
275
Calculate the common denominator of ((-558)/180)/((-236)/10) and 13/18.
2124
Suppose 2*m + 24 = 6*m. Suppose 4*v = -3*x + 52, 2*x = -0*x - 5*v + 23. What is the smallest common multiple of m and x?
24
Let q = -1410893/27 + 52262. Let v = q + -3395/297. Calculate the common denominator of 143/6 and v.
66
Suppose 0 = -2*q + 3*q. Find the common denominator of (-23)/4 - (q - 1) and (-30)/2 - 30/(-18).
12
Let j be ((-55)/(-33))/((-2)/480054). Let r be (-4)/14 - j/(-18270). Let p = -4/261 - r. What is the common denominator of p and 74/3?
6
Let o = 376520/7 + -138556833/2576. Let v = o + 22/23. What is the common denominator of -107/66 and v?
528
Let y(x) = x**3 + 18*x**2 - 39*x - 206. Calculate the least common multiple of y(-19) and 36.
1044
Find the common denominator of 100/(-160)*(-474)/(-135) and 19/42.
252
Suppose 0 = 4*b - 380 + 140. Calculate the least common multiple of b and 6.
60
Let x be 13/(-5) - 14/35. What is the common denominator of -3/7 and 2 + x/24*43?
56
Calculate the lowest common multiple of 8 and (1 + -361)/(-1)*30/75.
144
Let m be (0 - (-11)/(-1)) + 2. What is the common denominator of 46 and ((-2)/(-12))/(6/m)?
4
Calculate the smallest common multiple of 64 and (-86)/(-2) - 24/(7 - -1).
320
What is the common denominator of 25/36 and 14/35*230/(-96)?
72
What is the common denominator of -23/118 and (0 - (-55)/(-80))/1?
944
Suppose 2*y - 229 = -o, -109 - 466 = -5*y - 2*o. What is the smallest common multiple of y and 105?
4095
Suppose 257*g = 245*g + 1824. Calculate the smallest common multiple of 10 and g.
760
Let w = -749/110 + 54/11. What is the common denominator of w and 139/522?
2610
Suppose 0 = n - 2 - 2. Suppose -3*m + n*m - 14 = 0. What is the common denominator of 634/84 + 4/m and 1/16?
48
Let u = -642 - -993. Calculate the smallest common multiple of u and 156.
1404
Suppose -150 = 5*n + 5*j - 390, 2*j = 0. What is the lowest common multiple of n and 96?
96
Let r(h) = -2*h + 4. Let x be r(5). Calculate the common denominator of ((-117)/24)/(x/4) and 35/6.
12
Suppose 0 = 5*j - 226 - 394. Suppose 8*a = 4*a + j. What is the smallest common multiple of 5 and 3/12 - a/(-4)?
40
Suppose 8 = 2*z - 48. What is the smallest common multiple of 20 and z?
140
Let x(z) = 6*z**3 - 17*z**2 + 4*z - 1. What is the lowest common multiple of 25 and x(3)?
100
Let i = -59 + 73. Let n be 2/(2 + (0 - 4)). Let v(x) = 19*x**2 + x. What is the lowest common multiple of v(n) and i?
126
Let u(i) = -2*i**3 - i**2 - 3*i - 6. Suppose -5 = 12*b + 19. What is the lowest common multiple of u(b) and 2?
12
Let s be (15/(-10))/(9/(-12)). Suppose 2*w = -f + 39, -5*w + 0*f + s*f = -84. Calculate the least common multiple of w and 12.
36
What is the common denominator of (-34*2/10)/(52/(-65)) and -83/12?
12
Let g be (6/(-18))/(4/(-12)). Find the common denominator of 181/(-12) - 2/(-6) and 2/(-16*g/(-178)).
4
Let u = 24/697 - 82221/19516. Calculate the common denominator of u and 43/4.
28
Let a(f) = -2*f - 8. Let o be a(-6). What is the common denominator of (o - 655/150) + -4 and -40/21?
210
Let j(v) = -v**2 - v**2 - 2*v**3 + v + 3*v**2 + 4*v**3 - 1. Let z be j(1). Suppose -b + 6 = 2*u - 8, -z*u = 3. Calculate the least common multiple of 20 and b.
80
Let t = 6866/3 + -2308. Let q be (-1 + 14/6)*-3. Find the common denominator of t and (-2)/(-10)*305/q.
12
Suppose 4*g - 43 - 29 = 0. Let q be (-1)/3 + 42/g. Suppose 3 + 41 = q*d + 2*o, -4*o = -8. What is the least common multiple of 6 and d?
60
Suppose -5*v = 2*h - 93 - 158, -5*v - 577 = -4*h. What is the smallest common multiple of h and 69?
138
Calculate the common denominator of (7/168 - 0)/(-1) and -41/100.
600
Let n = -18189/4 + 1582261/348. Calculate the common denominator of n and -57/464.
1392
Let t = 5 + -7. Let y = -4934 + 78913/16. Calculate the common denominator of y and (-235)/(-15)*(-1)/t.
48
Let d = 10 + 10. Let c be ((-28495)/d)/(6/4). Let w = -946 - c. Calculate the common denominator of w and 65/14.
42
Find the common denominator of 124*(-7)/(-7)*(-2)/(-12) and -33/2.
6
Let x(f) = -f**2 - 15*f - 22. Let o be x(-13). Suppose o*g = t - 32 + 5, 2*g = -t + 3. Calculate the least common multiple of t and 12.
132
Calculate the common denominator of 3366/(-1012)*(-7)/(-21) and 64/3.
138
Let m be (3/(-6))/((-51)/(-71)). Let u be 660/(-34)*(-2)/(-6). Let k = m + u. Calculate the common denominator of k and -61/3.
6
Suppose 4*z - 65 = -5*l, -3*l + 3*z = -0*l - 12. What is the smallest common multiple of l and -5 + 6 + -4 - -4?
9
Let h = 8/201 + 2953/11658. Find the common denominator of h and -61/9.
522
Suppose 2*v - 4*v - 4 = 0. Let s be (-26)/(-5)*81/v. Let w = s - -1841/10. What is the common denominator of w and -11/8?
8
Let l(b) = 65*b**2 - 9*b. What is the lowest common multiple of 77 and l(1)?
616
Let b = -1329 + 2729/2. Let f = -634/19 + 16631/532. Calculate the common denominator of b and f.
28
What is the common denominator of 4/2 + (-26)/17 and -114 + 104 + (-3)/((-48)/22)?
136
Let c = 9 + -5. What is the least common multiple of c and (1 - 2)*-13 - 2?
44
Suppose 212 + 208 = 10*p. What is the lowest common multiple of p and 56?
168
Suppose 10*u + 24 = 14*u. What is the least common multiple of u and 702?
702
Let d = 384/26275 - 374197373/26275. Let k = -14235 - d. Let b = k - 4849/400. Find the common denominator of b and -95/8.
16
Let k(x) = 3*x - 5. Let t(l) = -l**2 - 3*l - 8. Let f(v) = v + 2. Let r(q) = -9*f(q) - 2*t(q). Find the common denominator of k(-5) and r(4).
1
Suppose 5*t - 2*g - 1035 = 0, 0 = g - 4 - 1. What is the lowest common multiple of t and 2?
418
Suppose -5*b + 37 = 4*d, -2*b + 17 = -d + 2*b. Let s = 186 - 753/4. What is the common denominator of (-79)/d*21/(-14) and s?
4
Let y(t) = 3*t + 9. Suppose 3*p - 30 + 30 = 0. Calculate the smallest common multiple of y(p) and 18.
18
Let d(l) = 2*l + 0*l - 3 - 2. Let w = 123 - 119. What is the lowest common multiple of d(w) and 8?
24
Let k be 4/(-4) + (-214)/(-2). What is the common denominator of (k/(-24))/(4/3) and ((-102)/(-35))/(32/(-40))?
112
Let n(u) = -u**3 - 18*u**2 + 28*u + 25. Let g be n(-18). Let h = g - -9567/20. What is the common denominator of 38/((-64)/12 + 0) and h?
40
Let c = -59 - -148/3. What is the common denominator of 10 - 85/45 - (-2 - -4) and c?
9
Suppose 0 = 5*a + 3*g + 14 + 32, 10 = -2*a - 4*g. Let j = 134 - 152. Let u = a - j. What is the smallest common multiple of 5 and u?
35
Let w be 87557/3*6/20. Suppose -6*n + 43740 = -n. Let t = n - w. Calculate the common denominator of -17/4 and t.
20
Let w = -444044/55013 - -3/15718. Let t(n) = -n + 40. Let x be t(0). Calculate the common denominator of w and (-182)/x + 2/(-4).
140
Suppose 81 = -0*j + 3*j + 3*z, -143 = -5*j + 3*z. What is the least common multiple of 21 and j?
84
What is the lowest common multiple of ((-26)/(-8))/(13/5720