56
Let m(z) = -23*z - 17. Let k be m(-5). Let d = -88 + k. What is the least common multiple of d and 7?
70
Let l = -642 - -647. Calculate the least common multiple of 259 and l.
1295
Let i(f) = f**2 + 37*f - 825. Suppose 3*y - 38 = 4*a - 4, -3*y + 2*a + 26 = 0. Suppose 0*n = 2*n - y. Calculate the least common multiple of i(-53) and n.
69
Suppose -f = -t + 1, -7 = -2*t + 3*f - 0*f. What is the common denominator of -58/27 and (-1 - (-138)/18) + (-1)/t?
108
Let i = 5119/1068 - 56/267. Find the common denominator of -121/30 and i.
60
Let b = -4406463/152 + 28990. Let r = b - 298/95. Find the common denominator of r and -67/16.
80
Let s(z) = 2*z**2 - 3*z + 0*z**3 - 2 + 4*z - z**3. Let k = -52 - -68. Calculate the lowest common multiple of s(-2) and k.
48
Let z be (-6)/72*6 + (-8818)/910. Let n = z + -10/91. Let b = 12/55 + -1361/440. Calculate the common denominator of b and n.
40
Let d(k) = -22*k**2. Suppose 2*v + 11 = -3*b, 0*v - 3*v = -5*b - 12. Let q be d(v). Let g = -17 - q. What is the lowest common multiple of g and 1?
5
Let v = -126 + 217. What is the lowest common multiple of 10/(-30) + v/3 and 30?
30
What is the common denominator of 150/(-48) + -1 - 4 and -56/9?
72
Let k = 660 - 294. What is the lowest common multiple of k and 24?
1464
Let k be (108/16 - 3)/((-2)/8). Suppose -4*j + 55 = -45. Let s = k + j. What is the smallest common multiple of s and 14?
70
Let l be (-8 + 7)*3/(-1887). Let h = l + -33971/3145. Find the common denominator of 7/8 and h.
40
Let s = 887/84 - 64/7. Let y = 240556/138765 - 2/9251. What is the common denominator of s and y?
60
Find the common denominator of 4/117 and 1 + (-20)/32 + 1866/(-432).
234
Suppose -a + 0*a = -n + 1, -a = -3. Suppose -h + 12 - n = 0. What is the smallest common multiple of h and (72/120)/((-1)/(-5))?
24
Suppose 45*u - 50*u = -80. Suppose -4*h = 4*h - u. Calculate the least common multiple of h and 18.
18
Let i(h) = h**3 + 9*h**2 + h - 8. Let f be i(-8). Suppose 0 = -3*j - 2*o + f, 5*j - 155 + 62 = o. What is the smallest common multiple of 22 and j?
198
Suppose -65 = -2*d - 59. Calculate the smallest common multiple of d and 291.
291
Let i = -3729 - -22477/6. Calculate the common denominator of 2/4 + (-111)/(-14) and i.
42
Let j be (-23*(-1)/66)/(6/(-4476)). Let p = -260 - j. Calculate the common denominator of p and 91/30.
330
Suppose 0 = a + a + 4716. Let k = -28277/12 - a. What is the common denominator of 51/2 and k?
12
Suppose 588 + 140 = -14*b. Let g = -40 - b. Calculate the least common multiple of g and 8.
24
Let w = 6 - 1. What is the common denominator of 45 and w/(-120)*-4*(-38)/2?
6
What is the lowest common multiple of 27 and (5/(-10))/((-4)/264)?
297
Suppose -3*z + 27 + 12 = 0. Suppose 4*d + 15 = 7*d. What is the lowest common multiple of d and z?
65
Let a = 47 - 37. Calculate the smallest common multiple of 5 and 3/(-6) - (-75)/a.
35
Suppose 0 = -2*g + 6 + 4. Suppose -2*q + 0*q = 0, 120 = 3*u + g*q. Find the common denominator of ((-57)/5)/((-176)/u) and -37/20.
220
Let s = 88 + -60. Suppose -7*t + s = -5*t. Calculate the lowest common multiple of 42 and t.
42
Suppose 3*x = 3*w + 6, 3*w + 3 = -2*x + 7. Suppose x*y - 52 = 3*r - 5*r, 96 = 4*r + 2*y. Calculate the smallest common multiple of 18 and r.
198
Let v = -14240479278 - -5724676108337/402. Let i = v - -948/67. Let r = 8588 - i. What is the common denominator of r and 48/11?
66
Let r = 221/71 - 407/2982. Calculate the common denominator of r and 139/30.
210
Let v = -1257 + 842. Let u be (-4510)/12 + (-1)/(-3). Let b = v - u. Calculate the common denominator of b and 39/20.
20
Let n = -32 + 49. Let p = 24 - n. Calculate the least common multiple of 4 and p.
28
Suppose 2*o = -o + 3*m + 90, 4*o - 5*m - 124 = 0. Suppose -3*c - 12*i + 17*i + 12 = 0, 4*c = 2*i + 16. Calculate the lowest common multiple of o and c.
52
Let c = 841 + -745. Calculate the lowest common multiple of 12 and c.
96
Let r = 4042 - 40297/10. Find the common denominator of -32/81 and r.
810
Find the common denominator of 174/1521*45/30 and 43/65.
845
Let q be (-39)/(-26)*4/3. Let f(b) = -9*b**2 + 4*b - 2. Let x be f(q). Find the common denominator of 81/(-20)*x/45 and 85/4.
20
Let i = 384510/6833 - 7351505571/128474066. Let n = 64/119 + i. What is the common denominator of n and -67/12?
948
Let s = 12770/1001 - 139/11. Find the common denominator of s and 31/104.
728
Suppose 672 = 5*j + 2*z, 5*j + 3*z - 104 - 564 = 0. Calculate the least common multiple of 24 and j.
408
Suppose 2*h = 5*w - h - 115, w - 4*h - 40 = 0. Let g be 222/10 - 1/5. Suppose -6*o + 2 = -g. Calculate the smallest common multiple of w and o.
20
Suppose 4*w - 3*u = 37, -3*w + 3*u = -5 - 22. Suppose -4*q + 40 + 45 = 5*o, o + w = q. Find the common denominator of 1335/350 + 6/q and -97/16.
112
Let t be 7020412/231 - 1*-5. Let r = -30394 + t. Calculate the common denominator of r and 23/9.
99
Suppose 4*q - h - 162 = 0, -5*q - 2*h + 28 = -168. Suppose 2*z - 7*z + 60 = 0. What is the smallest common multiple of z and q?
120
Suppose 36*s - 231 = 129. Suppose -4*d + 2*k = -k - 52, 3*d + k - 26 = 0. Let y = d + -2. Calculate the least common multiple of s and y.
40
Let i = 50 - 25. Suppose i - 1 = -4*a. Find the common denominator of -59/7 and (-101)/a + 2/(-1).
42
What is the common denominator of (0 - 89)*8/64 and 36/41?
328
Let l be ((-42)/12 + 3)/(1/4). What is the common denominator of -73/2 and 3 + l + (-128)/(-14) + -2?
14
Let l(h) = -12*h + 140. What is the smallest common multiple of l(11) and 4?
8
Let p(v) = -v**3 - 3*v**2 - 3*v + 1. Let y = 15 - 13. What is the least common multiple of p(-3) and (6 - (y - 12)) + 0 + 2?
90
Let z = 17/208 - -1253/416. What is the common denominator of z and 93/40?
160
Let b = -1798939149/7937 + 20233879790150825/89272780601. Let h = b + 5/7741. Let f = -216605/17436 + h. Calculate the common denominator of 29/4 and f.
12
Suppose -5*s - 4*f + 48 = 0, -36 = -5*s + 161*f - 159*f. Calculate the lowest common multiple of 170 and s.
680
Let h = -59/77 - -11611/1386. Find the common denominator of (76/(-18))/((-72)/135) and h.
36
Let w = -3913/4 - -983. Let o = w + -29/12. Calculate the common denominator of (74/11)/(-12 - (7 + -21)) and o.
33
Let t be ((-61)/(-17) + 1)*18. Let k = -2775/34 + t. Let u = 197 + -1147/6. Find the common denominator of k and u.
102
Let t = -395 + 400. Calculate the smallest common multiple of (-6)/3 + 53 - 1 and t.
50
Calculate the common denominator of 13/16 and ((-14)/21)/(136/(-330)).
272
Suppose -4*u = 4*y - 6*y - 170, y + 127 = 3*u. Calculate the lowest common multiple of u and 30.
210
Suppose 9*x - 240 = 4*x. Let v = 29 - x. What is the common denominator of v and -30/11?
11
Suppose 180 = -22*u + 1060. Calculate the smallest common multiple of u and 24.
120
Let k be 7552/10*180/(-24). Let l = k - -45249/8. Find the common denominator of l and (-1)/(-7) + 30/(-112).
8
Suppose -4*s + 50 = -0*v - 3*v, 4*s = -5*v - 62. Let z = -90 - -1437/16. Find the common denominator of (-79)/v + 3 + -5 and z.
112
Suppose 0 = -25*j + 189 + 211. Calculate the smallest common multiple of 240 and j.
240
Suppose -9 + 31 = 2*b. Let r(l) = l**3 - 5*l**2 - l + 9. What is the least common multiple of r(5) and b?
44
Let q be (523/(-3))/((-2)/(-3)). Suppose 1018 = -4*x - 2*s, -3 = 4*s - s. Let r = q - x. Calculate the common denominator of 76/9 and r.
18
Suppose -7*j + 2*j = 15. Find the common denominator of -25/16 and (81/6)/(j + 14/6).
16
Let g = 14/391 + -36419/1564. What is the common denominator of g and -32/3?
12
Suppose -28*t = -4098 + 1298. What is the lowest common multiple of t and 65?
1300
Suppose -v + 1 = 0, -5*v + 3 = 4*a + 10. Let s be (a/3 + 3)*-4. What is the least common multiple of 14 and ((-16)/(-10))/(s/(-20))?
28
Let o be (-28)/8*(-4)/7. Suppose -g = o - 14. Calculate the least common multiple of 30 and g.
60
Let t be 6/(-21) - 172/(-14). What is the common denominator of 3/9*-9 + 190/24 and (178/24)/(8/t)?
24
Calculate the common denominator of 37/21 and 7*(7893/810 - 10).
630
Let h be (108824/12)/(-12 + 4). Let s = 1132 + h. Find the common denominator of (-119)/24 + 4/(-6) and s.
24
Let i = -326884/57 - -5734. Calculate the common denominator of i and 29/171.
171
Let m = 115070/63747 - 14275033513/7653209832. Let x 