t p = -304573/18 - -16929. Find the common denominator of 10/(-6)*(12 - (-1278)/(-72)) and p.
36
Suppose -5*k - 21 = 4, 3*o + 11 = -4*k. Find the common denominator of (-868)/14*5*o/252 and -35/24.
168
Let y(b) = -5*b**2 + 5*b + 4. Suppose -4*z + 2*r = -2 - 12, -z - 4*r - 1 = 0. Let f be y(z). Calculate the smallest common multiple of 26 and f/8 + 3 - (-37)/4.
234
Suppose 0 = 3*j - g - 19, -j = -0*j + 2*g + 3. Suppose w + r + 22 = -r, 2*w = j*r - 35. Let k = w + 28. What is the smallest common multiple of 33 and k?
264
Suppose 46*c = 97*c - 49*c - 192. What is the smallest common multiple of c and 132?
1056
Let m = 99 - 87. Suppose -m = 6*u - 60. Calculate the smallest common multiple of 8 and u.
8
Let i(n) = 8*n**2 + 4*n - 15. Let z be (54/15)/3 - (-72)/90. What is the smallest common multiple of 35 and i(z)?
175
Let p = -69515 + 44767689/644. Calculate the common denominator of 79/368 and p.
2576
Let v(y) = 11*y + 347. What is the smallest common multiple of 112 and v(-27)?
2800
Let j = -72/1255 - 93367/494470. Calculate the common denominator of 77/136 and j.
26792
Let n be (-1)/(-2)*-8*2. Find the common denominator of -101/24 and ((-604)/(-12))/(n + 10).
24
Suppose -4*r = 5*y - 724, 0 = -2*r - 12*y + 15*y + 340. Let k = r - 80. What is the smallest common multiple of 12 and k?
96
Let j = 88 + -228. Find the common denominator of 73/3 and (-104)/30 - (-28)/j.
3
Let o = -47284 - -2080587/44. Let h = 488/5 - 1003/10. Find the common denominator of h and o.
220
Let i = 2/529 + -6909/8464. Let p be (1/(-3))/(118456/(-720)). Let t = p - -1311163/3287154. Calculate the common denominator of t and i.
1776
Let q = 1321/60 - 4/15. Let j be (-10)/8 + 955/10. Let z = j - 95. What is the common denominator of q and z?
4
Calculate the common denominator of ((-121)/(-20) - 6)/(6/((-1980)/25)) and (-146)/(-8) + (-5)/(-10).
100
Suppose -5*i - 110 = 5*i. Let o(l) = l**2 + 17*l + 16. Let v(x) = -x. Let g(h) = o(h) + 6*v(h). Calculate the least common multiple of 24 and g(i).
48
Let h = 337 - 339. What is the common denominator of (-946)/(-132)*3*h/45 and 26/9?
45
Suppose 0 = 4*n + n - 110. Let h = 26 - n. Calculate the smallest common multiple of h and 31.
124
Let m = -4769 + 5993. What is the least common multiple of 1836 and m?
3672
Suppose -3*m + 1 = -2*i, -5*i + 10*i - 2 = 3*m. Calculate the least common multiple of m and 1*-2*50/(-20).
5
Let r = 2377/4 - 21547/36. Find the common denominator of r and (-334)/516 + (-2)/(-2).
774
Let s = 18 - 10. Let y(x) = -230*x + 51658. What is the least common multiple of y(223) and s?
368
Suppose 8*g + 253 - 397 = 0. Calculate the least common multiple of g and 220.
1980
Let m(x) = 10*x**2 - 5*x - 10. What is the least common multiple of 14064 and m(2)?
70320
Let m = 171123/46 - 3719. Let o = -235 + 240. Find the common denominator of m and o + 622/36 + (-2)/18.
138
Suppose -4*p + 2*v - 3*v = 1772, p + 5*v = -462. Let w = -434 - p. Calculate the least common multiple of 57 and w.
456
Let u(t) = -t**3 - 16*t**2 - 20*t - 5. Suppose -2*z = 3*g + 41, -86 = 5*g + 2*z - 15. Calculate the lowest common multiple of u(g) and 12.
420
Suppose 827 = 2*o - 2*h + 807, 3*o - 4*h = 34. What is the least common multiple of 1992 and o?
1992
Suppose 0 = -4*g + 3*b + 15 + 66, 5*b + 15 = 0. Let s(y) = 655*y - 1955. Calculate the least common multiple of s(3) and g.
90
Let h be -18*1*84/9. Let o(m) = -3*m - 20. Let k be o(-6). Calculate the common denominator of k/1 + (-74)/h and -27/10.
420
Suppose w - 5 = 16. Suppose 3*y + 3*c = 21, 4*y + 2*c - 7*c = 64. Let x(l) = l**3 - 10*l**2 - 10*l + 13. What is the smallest common multiple of w and x(y)?
168
Let v = -23523053/483 - -48702. What is the common denominator of -23/12 and v?
1932
Let c be (1/(-3))/((-3)/((-18)/(-2))). Find the common denominator of (-308)/8 + (c + 0 - 0) and 85/32.
32
Let c = -3 - -15. Let q = 2617/84 - 55/84. Calculate the common denominator of 1/(-3)*423/c and q.
4
Suppose -r = 3*h - 20, -3*h + 13 + 3 = -r. What is the lowest common multiple of 74 and h?
222
Find the common denominator of 79/20 and 8/(-18) - 62524/(-20880).
20
Let w = 4/325 + -7178/2275. What is the common denominator of w and (-24660)/3490 - (5 - (17 - 5))?
2443
Let n = -4725/4 + 1181. Suppose 2*d - 9 = 7. Find the common denominator of n and ((-10)/45)/(d/786).
12
Suppose 0 = -9*h + 15 + 3. Calculate the common denominator of (495/12)/((-9)/(-3)) and -1 + h - (5 - 1).
4
Suppose -45*l + 380 = -385. Let y(b) = -b**2 + 14*b + 83. What is the smallest common multiple of 8 and y(l)?
32
Suppose -3*r + 6 = -2*x, -r - 5*x + x = -16. Suppose -4*i - 3*w = i - 75, -2*i + 4 = -r*w. What is the least common multiple of 21 and i?
84
Let b = -20 + 20. Suppose 2*g - 7*g - 25 = b. Find the common denominator of (((-36)/(-16))/9)/g and -37/10.
20
Suppose 5*o = q + 849, -324 = -628*o + 626*o + 3*q. What is the lowest common multiple of 114 and o?
342
Suppose -a - 2*m + 120 = 0, -a + 0*m + 121 = m. Suppose 14*p = -24 + a. What is the smallest common multiple of 15 and (-6)/(-8) - (252/(-16))/p?
15
Let i = 52637/41166 - 2/2287. Suppose -2*j + 4*p - 6 = 8, -2*p = -6. What is the common denominator of i and -4 - (875/240)/j?
144
Suppose 5*g = -5*j + 50, 8*g - 15 = -j + 6*g. Suppose j*d - 1232 = -2*d. Calculate the smallest common multiple of d and 80.
880
Calculate the common denominator of ((-4)/1032)/((-87)/493) and 167/1290.
3870
Let h = 19 - -2753. Find the common denominator of 69/3 - 0/1 and (-4)/(-22) - (-19098)/h.
14
Suppose 0 = o + 2*v - 16, -3*o - 3*v + 29 = -o. Suppose o*w - 448 = -6*w. Calculate the smallest common multiple of w and 44.
308
Suppose 1 = l - 3. What is the common denominator of 116/(-40)*6/2 and 6/(-10) + 46/l?
10
Let w(k) = -k**3 - 33*k**2 - 155*k + 191. What is the smallest common multiple of w(-27) and 1616?
1616
Let o = -182 - -186. Suppose 496 = 23*h - 18*h - o*k, -5*h = -5*k - 500. What is the smallest common multiple of h and 72?
288
Suppose 212*j - 207*j = 2265. Let h = j + -125. Calculate the smallest common multiple of h and 4.
328
Let g(l) = 13*l + 3. Let c be g(-5). Let f(r) = 8*r**2 - 506*r + 3650. What is the least common multiple of c/(-4) - (-2)/4 and f(55)?
80
Suppose 5*l + 4*n + 116 = 8*l, 0 = 4*l - n - 133. Suppose 5*j = 4*j + 2. Suppose -j*q + 9 = 1. What is the lowest common multiple of q and l?
32
Let d = -2371/469 - -17/134. Suppose 10*v - 2169 = 4281. Calculate the common denominator of 22/(-42)*v/86 and d.
14
Suppose -30*p = -33*p + 36*p - 1980. Calculate the smallest common multiple of 29 + 0 - (2 - 1) and p.
420
Let i(a) = a**3 + 10*a**2 + 10*a - 2. What is the least common multiple of (5/(-2))/(150/(-1480)) + 16/(-6) and i(-8)?
506
Suppose 4*i = -7 + 27, -4*i - 310 = -3*h. Suppose -h = -162*l + 157*l. Suppose v - l = -7. What is the lowest common multiple of v and 12?
60
Let s be 24/15 - (-4)/10. Suppose s*n = n - 5*w + 29, 2*n + 5*w - 33 = 0. Calculate the smallest common multiple of (18/30)/(12/10) + 2/(12/21) and n.
4
Find the common denominator of ((-1500)/(-4329))/(-25)*(-5)/2 and 85/78.
2886
Let v = -93 + 81. Let x = 147175/18 + -8181. Find the common denominator of (-174)/35*(-5 + (-75)/v) and x.
126
Let o(x) = -x**3 - 39*x**2 + 37*x - 110. Calculate the smallest common multiple of 5100 and o(-40).
5100
Let g = -101441/10536 + 4/1317. Let a = -25 - 266. What is the common denominator of ((-2)/18)/(0 - 2/a) and g?
24
Suppose -4*p + 244 = 132*o - 129*o, 5*p = 2*o + 328. Calculate the least common multiple of p and 224.
448
Find the common denominator of -23/21 and ((-222)/10704)/((-33)/(-22)).
18732
Suppose 36 = 204*y - 192*y. Let s(o) = -o**2 - 6*o + 5. Let h be s(-5). Suppose -25 = -y*b - h, -2*g - b = -13. What is the least common multiple of 18 and g?
36
Let q(n) = n**3 - 32*n**2 + 65*n - 166. Calculate the lowest common multiple of q(31) and 1.
888
Calculate the common denominator of 85/144 and ((-649)/44)/((-2)/(-4)).
144
Suppose n - 5*n = -8*n. Suppose -5*y + 1063 = u - 0*u, 4*u + 8 = n. What is the common denominator of -87/22 and (-30)/20*y/315?
770
Suppose 2*n - 5*d = 5*n - 22, -2 = -2*n + 3*d. Suppose n*z = -3*z + 210. What is the smallest common multiple of 60 and z?
60
Let n be (1 + 18366/(-324))/(81910/7698). Let p = 2/73719 + n. What is the 