 k be 7/(-21)*-2*(-2 - -5). Let z(t) = -t**3 + 5*t**2 - 2. What is the lowest common multiple of 72 and z(k)?
360
Let c = -41/32 + 1469/160. Find the common denominator of c and 645/(-100) + (-6)/(-8).
10
Suppose -5*n - 64 = 4*t, 5*n + 44 = n + 4*t. What is the lowest common multiple of 6 and 2/(-5)*(-7 - (-2106)/n)?
438
Let t = -3138 - -3259. Calculate the least common multiple of 330 and t.
3630
Let y = -18 + 19. Suppose 0 = o - 11 - y. Suppose 20*z = 17*z + o. What is the smallest common multiple of z and 21?
84
Let m = 541/4 + -136. Calculate the common denominator of m and ((-63)/42)/((-1224)/1037).
48
Calculate the common denominator of -25/441 and 66/(663/9 - 4/24).
441
Let i(h) = h**2 + 3*h + 4. Let q be i(-2). Suppose -5*u + 6 = -4*s, -q*u + 6*u = -5*s + 13. What is the lowest common multiple of s and (1*(0 + 1))/(12/84)?
7
Suppose 0 = 2*d + m - 3587, -2*m - 1801 = -4*d + 3*d. Let r = -7139/4 + d. Let o = -5577/8 + 72641/104. Calculate the common denominator of r and o.
52
Let f(b) = 2*b**3 + 14*b**2 - 3*b - 9. Let i be 4/(-5)*5/(-2). Suppose j - i = 4. What is the least common multiple of f(-7) and j?
12
Let m = 4517 - 4505. Calculate the lowest common multiple of m and 170.
1020
Let m = -3009/14383 - 1/757. Let n = -82307/2 + 40356. Let a = n - -749. Find the common denominator of m and a.
38
Let j(n) = n**3 - 39*n**2 + 111*n + 1. Let f = -9 - -11. Suppose f*l - l - 3 = 0. What is the least common multiple of l and j(3)?
30
Suppose 0*s + 404 = 4*w + 3*s, -3*s = -5*w + 478. Suppose -38*n + w = -31*n. Suppose -n*t + 377 - 125 = 0. What is the smallest common multiple of 12 and t?
36
Let y(c) = 8*c**2 - 11*c + 23. Let f be y(4). Suppose 3*x - 127 = f. Calculate the least common multiple of x and 65.
390
What is the common denominator of ((-49)/42)/((-12)/(-72)) + (-5539)/(-770) and 31/280?
3080
Calculate the lowest common multiple of 4 and -1484*(-8 - (-288)/42).
1696
Let d = 2453/8892 - 45/76. Let g = 4843/1737 - 2/193. Calculate the common denominator of g and d.
117
Find the common denominator of -83/50 and 5*(-8)/180 + 1396/(-5544).
3850
Let v = 100 - 2429/24. Let u be 73*84/18*(-1 + -2). Let p = 18493/18 + u. What is the common denominator of p and v?
72
Let u(t) = 2*t**2 + 11*t - 42. Let f be u(4). Suppose 3*w = -f*w + 407. What is the lowest common multiple of 11 and w?
11
Let g = -24 - -46. Let t(n) = -109*n + 4909. Calculate the lowest common multiple of g and t(45).
44
Suppose 5*t = o - 37, 2*t + 51 = 2*o + 25. Calculate the lowest common multiple of o and 1567.
10969
Let b = 53758 + -31466. Calculate the least common multiple of 8 and b.
44584
Calculate the common denominator of -125/198 and ((-1)/3)/(66/1650).
198
Suppose -144 - 1336 = -159*t - 49. What is the least common multiple of 13 and t?
117
Let y be ((-4)/6)/(1/(-21)). Let o = -11 + y. Suppose -o*s = -9 - 6. What is the lowest common multiple of 7 and s?
35
What is the common denominator of -29/21 and 3/3 + ((-5330)/273)/(-10)?
21
Let f(j) = -j**2 + 18*j + 40. Let s be f(22). Let x = s - -51. Suppose 3*p - 4 - 5 = 0. Calculate the smallest common multiple of x and p.
3
Suppose 2*u - 3*m - 26 - 4 = 0, 25 = u - 4*m. Suppose 2*t + 490 = u*t. What is the lowest common multiple of t and 20?
140
Suppose 0 = 5*w - 3*h - 11302, -2*w - 2*h + 20351 = 7*w. Calculate the lowest common multiple of 1 and w.
2261
Let d(c) = -c + 24. Let p be d(20). Suppose -b + 5 = 3*s, -2*s - 4*b + p = 2*s. What is the smallest common multiple of 32 and s/(20/8 - 2)?
32
Let s = 191 - 2. Suppose -3*l + 2*f - 73 + s = 0, 5*l = -f + 202. Suppose w = l - 38. What is the lowest common multiple of 10 and w?
10
Let m(x) = -x**3 + 5*x**2 - 3*x + 2. Suppose -19*c = -17*c - 6. Let w be m(c). Calculate the common denominator of -11/24 and (14/(-3) - -2)/((-18)/w).
216
What is the common denominator of ((-2)/12*275/55)/((-1014)/64) and 41/676?
6084
Let k = 4540 - 4428. What is the lowest common multiple of 112 and k?
112
Let m(l) = 6*l**2 + 6*l + 6. Let x be m(-3). Find the common denominator of (-531)/x + (3 - -2) and -41/30.
210
Calculate the common denominator of 28/75 and (-73674)/(-24840) + 11 + -14.
6900
Suppose -324*g + 5893 = 592 - 10899. Calculate the lowest common multiple of g and 2870.
14350
Let j be (81/55820)/3*(-38250)/4. Let d = 1/2791 + j. What is the common denominator of 99/2 and d?
8
Let w be (-152)/26 - (-30)/(-195). Let f = 70 + -76. What is the least common multiple of f/((w/36)/1) and 20?
180
What is the common denominator of -83/692 and (-3)/2*-6 + (-39035)/4144?
19376
Let b = -3463 + 3502. Suppose 5*z = 3*z + 6. Suppose 0 = 4*j + 2*a - 18, -5*j + 21 = -a + z*a. Calculate the least common multiple of j and b.
39
Let q be (-320)/150 + 4/30 + -1. Let b(z) = -16*z**3 - 4*z**2 - 7*z. Let v be b(q). What is the common denominator of 45/16 and 10/(-2 + v/57 - 3)?
176
Suppose -69 = -4*p - 3*k, 5*p - 24 = 3*p + 2*k. What is the least common multiple of 704/20 + 1/(-5) and p?
105
Find the common denominator of -56/873 and 171946/(-693744) + 3/4*8/36.
6984
Let w(g) be the second derivative of g**4/12 + 3*g**3/2 + 4*g**2 - 61*g. What is the lowest common multiple of w(-10) and (4/(-2))/1 - -14?
36
Suppose 2*b - 13*b = 0. Suppose b = 5*p + 5*p - 20. What is the least common multiple of p and (-7 + 6)*-1*1?
2
Suppose -15*k = 14*k - 232. What is the common denominator of -1*k + 10535/1419 and 44/3?
33
Let m = 2746195/118116 + 1/59058. Calculate the common denominator of -49/538 and m.
1076
Let q(i) = -73*i**2 - 3*i + 4. Let u be q(1). Let s = -64 - u. Calculate the common denominator of -76/15 and (-148)/(-30) + (4 - s).
15
Let g(p) = 9*p**2 + 7*p. Let j be 9/6*(-8)/6. Let l be g(j). Find the common denominator of -17/20 and 2 + (2/l)/((-6)/213).
220
Let w = 306/205 + -12/41. Let t be (-141 + -26)/(6/14). Let j = t - -390. Find the common denominator of w and j.
15
Let t(s) = -22*s + 135. Let n be t(-22). Suppose -615*p - 104 = -n*p. What is the least common multiple of p and 4?
52
Let a = -3707/3 - -1207. Let q = -223/6 - a. Calculate the common denominator of 19/22 and q.
22
Let w be (-72)/(-6560)*(-10)/(-4). Let c = -4/41 - w. Find the common denominator of (-370)/85*(-3)/12 and c.
136
Suppose -2*g - 765 = -3*w, -4*g - g = -3*w + 1899. Let a = 394 + g. Calculate the smallest common multiple of 14 and a.
112
Let v = 594 + -572. Calculate the lowest common multiple of v and 1290.
14190
Let p be ((-78)/12)/(7/14). Let c(k) = -k**2 - 8*k + 85. Suppose -n - 72 = -4*n. Calculate the least common multiple of n and c(p).
120
Let x be ((-41)/(-12))/((-20)/(-4188)). Let o = x - 716. What is the common denominator of o and -137/150?
300
Let k = -1861 + 4819. What is the least common multiple of 4 and k?
5916
Let o(j) = -39 + 16*j - 193 + 10*j - 130. Calculate the least common multiple of 27 and o(16).
54
Let v = 7638 + -5682. Calculate the lowest common multiple of v and 12.
1956
Let s = 51239/10 + -5128. Let o(y) = -5*y + 44. Let h be o(13). Calculate the common denominator of s and 18/h*14/135.
90
Calculate the smallest common multiple of 2266 and 52/169 + (-4 - 1380/(-78)).
15862
Let o(q) = -q**3 - 13*q**2 + 29*q - 17. Let m be o(-15). Calculate the common denominator of 0/((-10)/m) - (-25)/201 and 89/15.
1005
Let u = 21799/4 - 5472. What is the common denominator of u and 7/8310?
16620
Let k = 179372665981/52619490 + 2/2391795. Let s = k - 3408. Let x = -2/2403 + -242687/19224. What is the common denominator of s and x?
88
Let m = 215 - 243. Calculate the lowest common multiple of 4 and 2/(-8)*102/17*m.
84
Let m = -908/39 + 367606/15873. Calculate the common denominator of 45/74 and m.
814
Let r(f) = -427*f - 66. Let y be r(7). What is the least common multiple of y/(-91) - 8/14 and 18?
198
Let i(q) = -3*q + 21. Let x be i(6). Let m be (-19)/x*(28 + 2). Find the common denominator of 7/6 and (-7)/(-112)*m*2/(-6).
24
Let d = 952 - 552. Suppose 39*b - d = -11*b. Calculate the lowest common multiple of 48 and b.
48
Let k(r) = r**3 + 6*r**2 + 6*r + 3. Let q be k(-5). Let v(p) = -173*p + 5379. Calculate the least common multiple of v(31) and (q + 3)/(2/12).
48
Let k(c) = -32*c**2 + 3*c - 9. Let s be k(3). Let m = s + 294. Calculate the lowest common multiple of m and 190.
570
What is the common denomi