**3/3 - 2*z**2 + z - 2. Calculate the least common multiple of c(-3) and (12/(-27))/(6/(-27)).
4
Suppose 4*p + 5*z = 618, p + 5*z = 3*z + 156. Find the common denominator of (-56)/(-190) + 16/p and 64/3.
15
Suppose 23*z - 123 = 61. Suppose 16 = 2*r - r. What is the smallest common multiple of r and z?
16
Let u = -100055/446658 + -1/7701. Find the common denominator of -61/2 and u.
58
Let p be ((-17)/3)/(11/1689). Suppose 4*q + 3*u = 3479, -q - 4*u + 561 + 312 = 0. Let a = p + q. What is the common denominator of a and 2/9?
99
Let p(i) = i + 135. Calculate the lowest common multiple of 153 and p(35).
1530
Let u(d) = -d**2 + 61*d - 74. What is the least common multiple of u(54) and 152?
304
Let r(c) = -6*c + 44. Calculate the lowest common multiple of r(5) and 62.
434
What is the common denominator of (-405)/(-2)*((-228)/160)/(-57) and -89/72?
144
What is the lowest common multiple of -7 + -1 - -27 - 11 and 1072?
1072
Let r be (2 + 0)/2 - -1. Suppose 4*q - 2*k - 40 = 0, -r*k - 51 = -5*q - 0*k. Let x(s) = -2*s + 6. Calculate the lowest common multiple of x(2) and q.
22
Calculate the common denominator of (-9620)/(-3536) - 1/4*1 and 54/187.
187
Let s(i) = -10*i + 14. Let t be s(8). Let c = -199/2 - t. Calculate the common denominator of 49/120 and c.
120
Suppose 0 = -15*u - 4829 + 20009. Calculate the smallest common multiple of u and 3.
3036
Let w be (19*1)/(0 + -1). Let n = w + 43. Let f = n - 13. Calculate the least common multiple of f and 6.
66
Let z(u) = 4*u**2 + 10*u - 5. What is the lowest common multiple of 12 and z(4)?
396
Calculate the smallest common multiple of (7 - 153/17)*1*-7 and 452.
3164
Let m be (-489)/(-9) - (4 + (-55)/15). What is the common denominator of 46/33 and 190/m + 1 - 2?
297
Suppose 5*m - 13 = 32. Let n = 17 + -32. Calculate the smallest common multiple of (n/20)/((-1)/8) and m.
18
Let q = 1732 - 356791/206. Calculate the common denominator of -56/5 and q.
1030
Suppose -n + 4*q - 3*q + 5 = 0, 4*n + 2*q = 38. Calculate the lowest common multiple of n and (7/(-2))/(2/(-4)).
56
Let f(m) = -43*m + 7*m**2 + 6*m**2 - 10 - 11*m**2. What is the lowest common multiple of f(22) and 6?
12
What is the smallest common multiple of ((27/12)/(-9))/((-2)/520) and 104?
520
Suppose -4*x + 153 + 199 = 0. What is the least common multiple of 16 and x?
176
Let i = -2032 + 2035. What is the lowest common multiple of 6 and i?
6
Let v = 4523/99 + -430/9. Let g = 1308 + -2679/2. Calculate the common denominator of v and g.
22
Find the common denominator of 1 + (1 - 139/20) and 4851/1925*(1 - 2).
100
Let f = -435880177/1647 + 264651. Let w = 3/61 - f. Find the common denominator of 65/3 and w.
27
Let u be ((-7)/21)/((-3)/27). Let i(c) = -c**3 + 6*c**2 - c - 9. What is the lowest common multiple of i(u) and 3?
15
Let p = 172 - 95. Calculate the lowest common multiple of p and 70.
770
Let g(f) = f**2 - 14*f - 20. Let a(s) = -s + 16. Let i be a(0). What is the lowest common multiple of 20 and g(i)?
60
Calculate the common denominator of -77/52 and ((-12)/24)/(195/670).
156
Suppose -k + 5 = 4. Let c = -5 - k. What is the smallest common multiple of 20 and 23 - 2 - c/(-6)?
20
Let w = 38889 - 273918/7. Let l = w - -21047/84. What is the common denominator of 91/20 and l?
60
Suppose 5*r - 7*y - 155 = -12*y, 4*y - 160 = -5*r. What is the least common multiple of 60 and r?
180
Calculate the common denominator of -11/9 and (-1)/(-3) + 7 + 1300/(-216).
54
Suppose -4*c = -5*h - 1122, 2*h + 40 = 4*c - 416. Let b = -5363 + 85741/16. What is the common denominator of -4 + h/108 - (-2)/9 and b?
48
Let n be 1*3 - (0 - 10). Let l = 18 - n. Calculate the least common multiple of l and ((-3)/(-2))/(3/10).
5
Let a = 5299/2 + -2700. Let k be 10/(-15) - 2/((-6)/(-70243)). Let l = k + 515039/22. What is the common denominator of a and l?
22
Suppose 3*z - 5*b = -2*b - 228, 5*b + 20 = 0. What is the common denominator of -115/6 and (-830)/z - -1*1?
24
Let h = -645 + 5173/8. Suppose -7*a - 100 = -3*a. What is the common denominator of h and 2*5/a*27?
40
Suppose -5*c - 43 - 182 = 0. What is the common denominator of -71/16 and (c/4)/((-2)/4)?
16
Let z be -2 + 0 + 0 + 4. Suppose -7*k + z*k - 20 = 0. Calculate the smallest common multiple of ((-2)/(-2) - k) + 1 and 2.
6
Let i = -29729721/170 + 174880. What is the common denominator of -87/4 and i?
340
What is the common denominator of 7 and (423/(-108))/(171/6 + 0)?
342
Let z = 1/31111 + -27471028/466665. Let k = z - -137/3. Let h = -656/55 - k. Calculate the common denominator of -19/6 and h.
66
Suppose 2*i - 16*i = -364. What is the common denominator of 49/5 and i?
5
Let j(p) = p**2 + 10*p + 4. Calculate the common denominator of (-94)/33 + 97/(-291) and j(-5).
11
What is the common denominator of 173/1512 and (-1 - (-5)/4)/(4500/(-68000))?
1512
What is the lowest common multiple of 24 and 7 - ((-2)/(-2) + -63)?
552
Let x = 6194 - 49623/8. Let k = -5933 + 12095/2. Let y = 1078/9 - k. Calculate the common denominator of x and y.
72
Let j(p) = -7*p**3 + 2*p**2 + p + 1. Let x be j(-1). Let c(r) = r + 31. What is the common denominator of -127/6 and c(x)?
6
Calculate the common denominator of 43/9 and (-10400)/(-20250) - 4/(-10).
81
Let q = 201856 - 85385128/423. Find the common denominator of -119/12 and q.
1692
Let j(u) = -2*u**2 - 5*u + 17. What is the lowest common multiple of j(-4) and 28?
140
Let a = 11376 - 16188. Let i = a + 57779/12. Let h = -4505 - -99045/22. What is the common denominator of i and h?
132
Let t(j) = j**2 + 13*j - 25. Let w be t(-15). Suppose -y + 1 + 2 = -4*a, 12 = 4*y + w*a. What is the least common multiple of 17 and y?
51
Suppose -4*r + 4*n + 80 = 0, 4*n - 40 = -2*r - 12. Calculate the least common multiple of r and 56.
504
Find the common denominator of 7/25 and -3 - (1/6)/((-25)/(-145)).
150
Suppose -5*q + b + 91 = 0, -5 = 5*b - 0. Find the common denominator of 4 - 1 - 167/q and -5/9.
18
Let a(w) = -4*w + 5. Let z be a(3). Find the common denominator of -74/15 and (40/z + 4)/(10/28).
15
Suppose 5*x - 2*x + 3*g - 18 = 0, 3*g + 22 = 5*x. What is the smallest common multiple of 4 and x?
20
Let v be (-3)/(9/6)*-1. Suppose 5*z = -20, -v*r - 2*z + 8 = 2*r. Suppose 3*o = -2*c + 32, 2*c = o - 0*o - 24. Calculate the least common multiple of o and r.
28
Calculate the smallest common multiple of -18*(-10 - -17)/(-14) and 102.
306
Let z = 7 - 6. Let j(s) = s**2 + 1. Let x be j(z). Suppose 4*t + 5*r - x*r = 20, -2 = t - r. Calculate the lowest common multiple of 10 and t.
10
Suppose 84 = -2*d + 14*d. What is the least common multiple of d and 54?
378
Let q be -5 - -3 - (1 + 4551). Let d be (91017/16)/(10/8). Let i = d + q. Calculate the common denominator of i and -7/16.
80
Suppose 4*c - 38 = y, 2*c + 3*y + 9 - 35 = 0. Let o = 47 - 39. What is the least common multiple of o and c?
40
Suppose 3*d + 6 = d. Let o be (d - 1) + (-1 - -2). Let q(t) = -t**2 - 8*t - 5. What is the lowest common multiple of q(o) and 3?
30
Suppose -36 = -0*s - s - o, 3*o = 3*s - 132. Let i = 140 - s. What is the common denominator of -11/4 and (-490)/i + 2/(-10)?
20
Let d(w) = -2*w**2 - 12*w - 5. Let h be d(-6). Let k = -8 - h. Find the common denominator of 14 and k + 107/(-6) + -3.
6
Let s = -1196/7 + 7337/42. Calculate the common denominator of s and (-2)/(-9) - -3*(-31)/18.
18
Let i = -3 + 8. What is the least common multiple of i + 3 + 2 + 1 and 9?
99
Let b = 287 + -271. Calculate the least common multiple of 48 and b.
48
Let q(y) = -212*y - 2. Let c(t) = 141*t + 1. Let m(n) = 8*c(n) + 5*q(n). Let r be m(2). Let x = r + -607/4. Find the common denominator of x and -1/18.
36
Let t = 71 + 108. Calculate the smallest common multiple of 1 and t.
179
What is the common denominator of 151/78 and ((-16)/(-24))/(32/146)?
312
Suppose -35 - 75 = 2*o. Calculate the common denominator of 3/(-4)*o/(-10) and -18/5.
40
Suppose 0 = -r - 117 + 138. What is the lowest common multiple of r and 9?
63
Suppose 10 = -4*v + 2*v. Calculate the common denominator of 0 + v*(-15)/48 and -27/32.
32
Let n(h) = -11*h**3 + 2*h. Let z be n(-2). Calculate the common denominator of -13/6 and 416/z - 4/14.
6
Let q = 13915/672 + -9/224. What is the common denominator of q and 70/621?
621
Let n be 0 + (0 - -3) - (-94 + 3). Let v = -7 + 11. Suppose 0 = v*q +