4*r = -96, y*s - 109 = -r - 0*r. What is the lowest common multiple of 12 and s?
84
Let m = -18 - -23. Suppose -m*z = -3*z - 6. Suppose -38 = -3*r + 5*k, z*k + 53 = 4*r + 6. What is the least common multiple of 3 and r?
33
Let n = -131 - -223/2. Suppose 5*q = 3*d + 86, -35 - 35 = -5*q - 5*d. Find the common denominator of (-5)/10 + (-94)/q and n.
8
Suppose -4*w - 604 = 4*r - 7*r, -3*r = -5*w - 602. What is the lowest common multiple of 36 and r?
612
Let c = 2/1667 + 8321/11669. Find the common denominator of c and -143/18.
126
Let w(d) = -3*d**3 + 10*d**2 + 12. Calculate the smallest common multiple of 189 and w(3).
189
What is the lowest common multiple of 9 and 16*(161/(-28) + 6)?
36
Suppose 27*j + 25200544 = 23*j. Let h = 62930987/10 + j. Let k = h - -7049. Find the common denominator of k and -67/22.
110
Let i be 50/(-4)*(-1032)/(-9). Let s = -1417 - i. Find the common denominator of s and 1/69.
69
Let v be 1*(-28297)/66*(-1)/3. Let j = -1558/11 + v. Calculate the common denominator of j and (-137)/(-102) + 2/6.
306
Let m(l) = l**2 - 14*l + 16. Let k be m(9). Let a = 53 + k. What is the lowest common multiple of 18 and 88/a - (-3)/9?
36
Let m = 2/5105 + 5507/16336. Calculate the common denominator of m and 145/192.
960
Let t = 16 + -24. Let l(x) = 2*x**2 - 3*x + 11. Let b(o) = 3*o**2 - 7*o + 21. Let w(y) = -3*b(y) + 5*l(y). Calculate the smallest common multiple of 4 and w(t).
8
Calculate the common denominator of 70/117 and (-5 - -1)/((-260)/(-42)).
585
Calculate the common denominator of 117/10 and (29 + -3)/((-46)/(-4)).
230
Suppose 2*q = y + 4, -2*q = -0 - 2. What is the common denominator of 47/36 and y + 188/18 + (-12)/54?
36
Let w = 7507/6 - 1247. What is the common denominator of 101/46 and w?
138
Calculate the common denominator of 4 + 191*(-63)/2842 and -1/9.
3654
Let m be (-54)/10 - 4/(-10). Let u be (795/(-20) + 9)/((-6)/8). Let t = m + u. What is the lowest common multiple of t and 10?
180
Calculate the common denominator of (220/(-1232))/((-11)/2) and 36/7.
154
Suppose 2*c - 2*j = -2*c + 298, -2*c + 129 = 3*j. Calculate the smallest common multiple of c and 27.
216
Suppose 2*d - 3*u = 5*d + 678, 2*u + 896 = -4*d. What is the lowest common multiple of (-4)/(-14) + -8 + d/(-7) and 30?
120
Suppose 2*c - 278 = -270. Calculate the lowest common multiple of c and 7.
28
Let y = 1215 + -1080. Calculate the smallest common multiple of 105 and y.
945
Suppose -m = 3*r - 133, -19*r - m = -14*r - 223. What is the smallest common multiple of r and 63?
315
Calculate the common denominator of ((-14)/(-189))/((-60)/(-5445)) and 59/36.
36
Let i be (-3314)/3*(-63)/2760. Let s = -4/115 - i. Calculate the common denominator of (4/(192/(-9)))/(3/(-158)) and s.
8
Suppose -3*a = -18 + 6. Find the common denominator of a/(16/13) - -3 and (2 - 3) + (2 - 15/10).
4
Suppose -13*m - 4190 = -17944. What is the least common multiple of m and 18?
9522
Let c = -1219/36 + 209/18. Calculate the common denominator of c and -26/3.
12
Let z = -6079 + 60697/10. What is the common denominator of z and -12/5?
10
Let x(m) = 8*m - 11. Let w be x(3). Suppose 0 = 5*b - 3*k - 56, b = k + w - 1. What is the smallest common multiple of b and 6?
30
Let r be 2/(-5) - (-106198)/70. Let s = r - 1511. Let n = 810/23 - 8072/207. Calculate the common denominator of s and n.
63
Let k(d) = 2*d + 2*d**2 - d**2 + d**2. Let h be k(-2). Suppose -y - 3*i + 9 - 1 = 0, h*i - 4 = 0. Calculate the smallest common multiple of 11 and y.
55
Let g = 444 - 435. Calculate the lowest common multiple of 15 and g.
45
Let f be 13/(-2) + (3/(-2))/3. Calculate the smallest common multiple of 33 and 33 + 2 + 14/f.
33
Let m be ((-18)/(-22380))/((-4)/5). Let b = -76847/8952 - m. Find the common denominator of -7/11 and b.
132
Suppose 6*y - 12 = 3*y. Let g = y + 0. Let q(u) = u**2 - 4*u - 4. Calculate the lowest common multiple of g and q(6).
8
Suppose 2*p - 1 = -2*c + 17, -3*c + 32 = 2*p. What is the least common multiple of 66 and c?
462
Suppose 2*t = -3*w - 8, 0 = -2*w - t + 2*t + 4. Suppose w = -i + 15 + 16. What is the lowest common multiple of i and 2?
62
Let r = 110 - 104. What is the lowest common multiple of 15 and r?
30
Suppose -142*p - 18 = -140*p. Find the common denominator of -59/24 and ((-325)/180)/(-1) + 2/p.
24
Suppose -b - 4 + 5 = 0. Calculate the common denominator of (b/(-2))/(14/122) and (-16)/(-2) + 1638/(-208) + -11.
56
Suppose 4*p = -12, -3*m - 22 = 5*p - 7. Suppose 7*f + m*f - 112 = 0. What is the least common multiple of f and 144?
144
Suppose -303*v + 299*v + 56 = 0. Calculate the lowest common multiple of v and 4.
28
Suppose 4*l = -5*k + k + 516, 4*k = -l + 519. What is the lowest common multiple of k and 20?
260
Let p(o) = o - 13. Let y be p(3). Let l = y + 20. Calculate the lowest common multiple of l and 20.
20
Let j = 101 + -92. What is the common denominator of 5 - (j/6 + 1) and 3/22?
22
Let n = 821846/17017 + -24/2431. Let r = n - 6683/140. What is the common denominator of r and 372/(-80) + (0 - 1)?
20
Let h = -1446 - -2793/2. What is the common denominator of h and 43/12?
12
Suppose a = 4*o - 23, a - 30 = -4*o - 5. Suppose -13 = -s - o. What is the least common multiple of 5 and s?
35
Let u = -2/9200401 - 172203905437/368016040. Let o = -2319/5 - u. What is the common denominator of 56/3 and o?
24
Let a(p) be the second derivative of -p**4/12 - 5*p**3/2 + 21*p**2/2 - 11*p. Calculate the smallest common multiple of 7 and a(-16).
35
Suppose 0*p - 3*s = -2*p - 20, -s = -p - 9. Let z(t) = -3*t + 2*t - t - 6. What is the least common multiple of 12 and z(p)?
24
Let l(j) = j**3 + 5*j**2 + 10*j + 6. Let y be l(-4). Calculate the smallest common multiple of (2 - (-32)/y) + (-1422)/(-162) and 10.
90
Let t(y) = -5 - 2 - 5 - 11*y - y**2 + 2. Let w be t(-8). What is the common denominator of 35/w*2/(-3) and 33/2?
6
Suppose -2*w - 7 = -3*w + l, 5*l + 11 = -w. Suppose -p + 20 = 4*p. Calculate the lowest common multiple of p and 1*9*w/6.
12
Let z(p) = -p + 11. What is the smallest common multiple of -3 + 4 + (-5)/(-5) and z(-9)?
20
Let r be ((-108)/48)/((-1)/4). What is the common denominator of (-14)/(-8*r/(-30)) and -59/22?
66
Calculate the lowest common multiple of -3 - 9/((-45)/20) and ((-45)/(-25))/((-1)/(-5)).
9
Let b(i) = 2*i - 4. Calculate the lowest common multiple of b(5) and 29.
174
Let y(n) = 7*n - 3. Let t(h) = 79*h**2 - h - 2. Let u be t(-1). Let p = -56 + u. Calculate the smallest common multiple of y(3) and p.
198
Let j = -654 + 765. What is the least common multiple of j and 3?
111
Calculate the common denominator of (-2)/12 + (-224)/518 and 62/15.
1110
Suppose 32*f - 29*f = 1110. What is the lowest common multiple of f and 6?
1110
Suppose 34*i - 45*i + 528 = 0. Calculate the least common multiple of i and 152.
912
Let c = -3736 + 33548/9. Find the common denominator of c and -7/18.
18
What is the least common multiple of (9/3 - 51)*15/(-10) and 88?
792
Suppose 0 = 2*k + 69*k - 852. Suppose -5*s - 66 = -3*i, -2*i + 3*s = -41 - 4. What is the smallest common multiple of k and i?
108
Let l = -133 - -61. What is the common denominator of (-753)/l - 3/9 and (-6)/(-8)*10/255?
136
Suppose -p = -3*p - 3*o + 11, p - 4*o + 11 = 0. Let w be (-81)/(-6) + 3/(-6). What is the smallest common multiple of 10 and -6 + w - (p + -4)?
10
Let r be 118772/21 - (-70)/105. Let l = 5655 - r. What is the common denominator of -71/6 and l?
42
Let p be 1361/(-6)*(-3 + (-1125)/(-372)). Let t = p - -7/62. What is the common denominator of 77/12 and t?
24
Let z be (-3)/(-1 + -3 + 3). Let x(t) = -6*t. Let r be x(z). Let w = r - -22. What is the lowest common multiple of w and 9?
36
Let m = 1671 - 1594. What is the lowest common multiple of m and 42?
462
Let c = 21 - 13. Let f = c - 2. Let q(t) = -t**3 + 11*t**2 - 8*t + 2. What is the least common multiple of q(10) and f?
66
Let h = 258839/659640 + -4/5497. Calculate the common denominator of h and -95/42.
840
Let q = -565 - -593. Calculate the least common multiple of 160 and q.
1120
Let n(r) = -2*r + 34. Calculate the lowest common multiple of 32 and n(13).
32
Calculate the common denominator of (1 - (-6)/(-8))*(-2584)/527 and (4 + -3)/((-9)/(-123)).
93
Let x = -13 + 17. What is the smallest common multiple of ((-30)/(-12))/(2/x) and 13?
65
Let