e least common multiple of m and 360?
2520
Let z(m) = -m**3 - 5*m**2 - 4*m + 2. Let i be z(-1). Suppose -i*r + 131 = 5*d, -d = 2*r - 4*d - 171. What is the least common multiple of r and 18?
234
Suppose 2*z + 10 = 2*r + 2*r, 5*r - 5*z - 5 = 0. Suppose 0 = 5*d - l - 2*l - 31, r*l + 18 = 2*d. What is the common denominator of 1*(d - (-2 - -6)) and -7/10?
10
Let o(q) = q - 7. Let g be o(-5). Let b = g + 22. Calculate the smallest common multiple of b and ((-6)/(-2) - 0/(-129))*6.
90
Let w(f) = -f**2 + 8*f - 2. Let d be w(8). What is the common denominator of -57/7 and (-8)/(1120/(-581)) - (d - -5)?
140
Suppose 119*p - 120*p = -34. Suppose p*w = 45*w - 693. What is the lowest common multiple of 21 and w?
63
Let z(n) = -5*n + 21. Let c be z(-3). Calculate the smallest common multiple of 3 and 1*-4*c/(-8).
18
Let x = -8167/400 + 547/25. Calculate the common denominator of x and -19/3190.
25520
Suppose -5*q - 111 = -8*q. Suppose 5*v + q = 67. What is the smallest common multiple of v and 60?
60
Let o = 9577 - 7595. Calculate the smallest common multiple of o and 6.
5946
Let i = 692 - 496. What is the smallest common multiple of i and 8?
392
Let k(g) = 436*g + 22. What is the least common multiple of 6122 and k(0)?
67342
Let o be 3 + 3/(12/(-16)). Suppose 1028 = -3*j - 4*h, 38 = -3*j - 3*h - 985. What is the common denominator of 69/(3/o)*(-6)/j and 69/8?
56
Suppose w - 108 = -0*c - 4*c, 0 = -4*w - 5*c + 377. Let g = 121 - w. Calculate the least common multiple of 33 and g.
33
Find the common denominator of (17 + (-3 - 17))/30 and 9/1570.
1570
Suppose 12*z + 245 - 593 = 0. Suppose -6*p + 11*p - 35 = 0. What is the least common multiple of p and z?
203
Let m(l) = l**2 + 39*l + 494. Calculate the least common multiple of m(-27) and 80.
1360
Let p = 813 + 1000. Find the common denominator of (-4)/(-20) - p/840 and -1/68.
408
Let t(o) = 8*o - 116. Let h be t(15). Suppose -4*y - 38 = -5*i - 17, 3*i = h*y + 11. Calculate the common denominator of y and -49/16.
16
Suppose -60*m + 764 = -491 - 425. Calculate the smallest common multiple of m and 707.
2828
Let h(k) = k**3 - 7*k**2 - 2*k - 4. What is the lowest common multiple of h(8) and (3 + 9/(-15))/(42/210)?
132
Let g = 11 + 5. Suppose -468 = -9*l + 3*l. Suppose 3*k = 3*w - 6*w + l, -w + 5*k = -14. What is the lowest common multiple of g and w?
48
Let p(t) = t**3 - 54*t**2 + 58*t - 145. Calculate the least common multiple of p(53) and 12.
120
Let b be (2 + 14/(-4))/((-7)/(-154)). Let j = b + 54. What is the common denominator of 29/48 and 14/j - (-93)/(-12)?
48
Let b = 2449 - 44131/18. Find the common denominator of -97/270 and b.
270
Suppose 0*a - 20 = -5*a. Let p = 306 + -282. Suppose 5*k = 12*i - 11*i + 1, -p = -5*i - 4*k. Calculate the least common multiple of a and i.
4
Let w = 6 + 105. Suppose 2*q - 132 = -2*r - 46, 0 = -3*r + 3*q + w. Let g = 60 - 38. What is the least common multiple of g and r?
440
Let b(a) = 4 - 2 - 4*a**2 + 0*a**3 + a**3 + 0. Let q be b(4). Calculate the lowest common multiple of 96 and -1*-12*q/3.
96
Calculate the common denominator of (4/18)/2 - (-52752)/(-48384) and -101/384.
384
Find the common denominator of -2 + 6 - ((-442)/(-40) + -1) and 1 - (1 + 5) - 3924/(-810).
180
Let i(y) = -y**2 - 2*y. Let x be i(1). Let f be x/15*0 + 9 + 1. Let m = -6 + f. Calculate the smallest common multiple of 18 and m.
36
Let n be 6/(((-9)/(-24))/((-1)/4)). Calculate the common denominator of (n*(-4)/(-24))/(152/(-855)) and -153/910.
1820
Suppose -4*q = a + 3*a - 16, -2*q + 3*a = -13. Let d(g) = -12*g + 70. Calculate the smallest common multiple of d(q) and 224.
1120
Let g(q) = q**3 - 17*q**2 + 48*q - 564. Calculate the smallest common multiple of g(17) and 504.
504
Let y be 3/4 + (-244)/(-16). Suppose 3*s - 17 - y = 0. What is the smallest common multiple of -5 - ((-245)/28 + 10)*-8 and s?
55
Let o(w) = w**2 - 1386*w - 6943. Calculate the lowest common multiple of 28 + ((-2)/(-2) - -1) and o(-5).
60
Let y = -13076 + 78409/6. What is the common denominator of -85/7574 and y?
22722
What is the least common multiple of ((-1672)/(-396) - (-2)/(-9)) + 2 and 14?
42
Let t = 7717/27522 + -4/1529. What is the common denominator of t and 52/1395?
2790
Suppose -6*g + 5*g + 5 = 0. Suppose m = -3*o - 2, -2*o + o - 22 = -g*m. Calculate the common denominator of -26/7 and 3/9*o + (-2238)/(-468).
182
Suppose 14*h - 380 = 9*h. Let c(i) = -4*i**3 + 2*i**2 + i - 1. What is the least common multiple of c(-1) and h?
76
Suppose -o = 11*o - 8160. Find the common denominator of -44/5 and ((-28)/(-2))/(o/(-20)).
85
Let r(a) = -a**3 + 111*a**2 - 1595*a + 245. Calculate the lowest common multiple of r(94) and 4743.
4743
Let m be (-3)/(48/(-56101)) - (-16 - -19). Let o = 3506 - m. Calculate the common denominator of 374/24 - 5/20 and o.
48
Suppose 966 = 10*i - 52*i. Suppose 66 = 2*w - 4*p, -p - 21 = -w - 2*p. Let v = i + w. What is the lowest common multiple of v and 8?
8
Suppose -432 = 4*p + 5*u, -5*p - 336 - 204 = 3*u. What is the common denominator of (4 - (-85)/(-20)) + (-23)/p and ((-1)/21)/((-3135)/1043 + 3)?
54
Suppose 0 = -2*g + y + 10, 5*g - 3*y - 25 = 3. Calculate the least common multiple of 187 and g.
374
Let a(r) = r**3 + 10*r**2 - r + 11. Let h(l) = 85*l**2 + 3*l + 1 + 2 - 64*l**2. Calculate the smallest common multiple of a(-10) and h(-1).
21
Suppose l - 328 = -0*l. Suppose 18 = 2*z, 11*z = 5*m + 13*z - 28. What is the lowest common multiple of m and l?
328
Let u(s) = -s + 54. Calculate the smallest common multiple of u(-6) and (-4 + 0/(-1))/((-19)/285).
60
Let z = -272637/93086 - -2/6649. Let w be (-2)/(-5) - (-362045)/75. Let c = w + -144763/30. Find the common denominator of z and c.
210
Let w = 2637847/7424 - 10311/29. Find the common denominator of 73/768 and w.
768
Let z = -8285 + 8441. Calculate the least common multiple of z and 112.
4368
Suppose -51*b + 55*b + 12 = 0, -234 = -5*t + 3*b. Suppose -k - 2*k + 326 = -2*q, -327 = -3*k + 3*q. Calculate the least common multiple of k and t.
540
Let h = -1920 - -213161/111. What is the common denominator of h and ((-5)/(-24) - 2) + (-4)/2?
888
Suppose 105*h = 97*h + 40. Calculate the smallest common multiple of ((-10)/1 - 1)*-1 - h and 194.
582
Let p = -182 - -277. Let m = p - 92. Suppose 0 = m*q - 5*q + 56. What is the least common multiple of q and 8?
56
Let p(k) = -11*k + 111. What is the least common multiple of p(3) and 429?
858
Let z = -7024 - -7072. Calculate the smallest common multiple of z and (-4)/(-10) + (-546)/(-35).
48
Let g = -154 + -3529. Let v = g + 22237/6. Let l = 2/21211 + -1930237/381798. Find the common denominator of l and v.
18
Calculate the common denominator of (-3022)/384 - ((-2)/26 - 2884/364) and 47/44.
2112
Suppose 3*m + 15 = 3*h, m - 19 = -4*h + 6*m. Suppose -20*r - n = -23*r + 145, 3*n = -3. What is the lowest common multiple of r and h?
48
Let c = 52920 + -10954475/207. Calculate the common denominator of c and -53/414.
414
What is the smallest common multiple of 552 and 756/(-49)*2/(-4)*14?
4968
Let f = -32 - -79. What is the least common multiple of f and 1/((-4)/(-2) + -1)*(12 - 5)?
329
Let a(o) = 84*o**2 + o + 1. Let y(g) = -2*g**3 - 219*g**2 + 19*g - 9954. Calculate the least common multiple of a(-1) and y(-110).
168
Let z(u) be the first derivative of -u**2 - 4*u - 1. Let l be z(-6). Find the common denominator of (-38)/133 - 2/l and 15/4.
28
Let j = -1943/2 - -1013. Suppose -4*g + 5*m + 85 = 0, 0 = 3*g - 3*m - 66 - 0. What is the common denominator of (-184)/(-46) - (-2)/((-6)/g) and j?
6
Let r = 1100/23 - 3817/138. Let f = -249/13 + 12263/702. Find the common denominator of f and r.
54
Let p = 135 - 143. Calculate the common denominator of 29/16 and -14 - (-18 - p) - (-2210)/556.
2224
Let p be (33/9 - (-5 + 9))*-5413. Let v = -25281/14 + p. Find the common denominator of 23/56 and v.
168
Let b = 1299 - -704. Let z = -17977/9 + b. Calculate the common denominator of -2 + 3/((-198)/34) and z.
99
Calculate the least common multiple of -5 - (-12 + 8) - (-47 + 1) and 99.
495
Let n = -3370/2379 + 278/183. Let f = 1699/3 - 573. Find the common denominator of n and f.
39
Suppose 0 = -n + 2*a - 258, 3*n - 534 = 5*n + 2*a. Find the common denominator of (41/3)/(56/(-7)) and (12/n)/((-6)/104).
264
Suppose -6*q - z + 58 =