-4)).
30
Let y = 54 + -20. Let s = y + -13. Suppose 11 - s = -5*c. Calculate the lowest common multiple of c and 12.
12
Let j(l) = -l**2 - 3 - 53*l + 59*l - 3. Let f be j(5). Calculate the common denominator of 21/(-18) - f/2 and 11/6.
6
Suppose 3*t + w = -13 + 50, 2*t - 2*w = 22. Calculate the smallest common multiple of t and 7 - 7 - (-5 + -3 + 2).
12
Let k = -2881429/680610 + 6/22687. What is the common denominator of k and 44/69?
690
Suppose 14*f = 10*f + 580. Suppose 8*d + 25 = f. Calculate the lowest common multiple of d and 7.
105
Suppose -2*w - w - 15 = 0, 5*o - 5*w - 85 = 0. Let v(z) = -24*z + 14*z + 3 - 3. Calculate the smallest common multiple of v(-2) and o.
60
Let c = 75 - 53. Calculate the least common multiple of c and ((-2)/4)/(1/(-8)).
44
Suppose 4*y = -y - 2*f + 161, 0 = -4*y + 3*f + 138. Calculate the smallest common multiple of 9 and 2*y*(-2)/(-12).
99
Let y = 0 + 3. Suppose 4*c + 2*b = 80, 6*c = y*c + 5*b + 60. Let x(n) = -n**2 + 19*n - 2. What is the smallest common multiple of x(18) and c?
80
Let u(t) = t**3 + 9*t**2 + 15*t + 23. What is the smallest common multiple of (-1)/(-5)*4*25 and u(-7)?
80
Let r(w) = w**3 - 12*w**2 + 17*w - 10. Let u be r(10). Calculate the common denominator of 45/46 and ((-23)/u)/((-14)/28).
460
What is the least common multiple of 7 and (258/12 + 0)*(1 - -7)?
1204
Suppose -n + 40 = 3*n. Let r = 82 + -198. What is the smallest common multiple of r/(-12) - 1/(-3) and n?
10
Suppose 0 = 3*x - 2*f - 28, 46*f - 26 = -3*x + 50*f. Suppose 0 = -3*c + 30 - 12. Let w(z) = z**2 - 3*z + 2. What is the smallest common multiple of x and w(c)?
20
Let p = 6636/23 - 571961/1978. Find the common denominator of -13/4 and p.
172
What is the common denominator of 59/3 and (-12380)/27360 + 4/38?
72
Let d = -2233 + 4365/2. Find the common denominator of d and -49/3.
6
Let s(f) = f**2 - 2*f - 5. Calculate the least common multiple of s(4) and ((-3)/(-2))/(24/144).
9
Let d(s) = 4*s**3 - 13*s**2 - 4*s + 1. Let t(r) = -r**3 + r. Let u(z) = -d(z) - 5*t(z). What is the lowest common multiple of u(-13) and 6?
12
Let r(p) = -p + 25. What is the least common multiple of r(22) and 30?
30
Let y be 0/1 + 1/(-1773). Let w = y - 136505/28368. What is the common denominator of w and -1*3 + 25/14?
112
Let o be -1 - (1 - 3) - -2873. Let l = o - 17207/6. Find the common denominator of l and -9/5.
30
Let g(o) = -o**2 + 16*o + 48. Let c = -14 - -23. What is the least common multiple of c and g(18)?
36
Calculate the common denominator of (-183)/70 - 4/(-10) and (-80)/(-28) - 2 - (-1830)/560.
56
Let x = 6343/3 - 329527/156. Let p = -7343 - -132269/18. Find the common denominator of p and x.
468
Let s(h) = -92*h**3 + h**2 + 3*h + 3. Let b be s(-3). Find the common denominator of (-6)/14 - b/(-462) and -17/12.
132
Let n = 212 + -205. Calculate the smallest common multiple of n and 91.
91
Let x = -56437/468 - -1537/13. What is the common denominator of -45/172 and x?
1548
Suppose 0 = 2*g + 2*u - 28, -g + 3*g - u - 19 = 0. Calculate the smallest common multiple of g and (2 - -2)*(4 - (-18)/(-12)).
110
Suppose 3*i - 4*b - 6 = 18, 2*i - 33 = -3*b. Calculate the lowest common multiple of 4 and i.
12
Find the common denominator of 56/45 and (-174)/(-63) - (7 + -1)/6.
315
Calculate the common denominator of 5/((-15)/(75/10) - 6) and -51/40.
40
Let y(j) = -j**3 + 27*j**2 - 65*j - 88. What is the lowest common multiple of 40 and y(24)?
80
Let q = -8657 + 34547/4. What is the common denominator of q and 1 + -14 - 1/(-2)?
4
Let u = -43 - 5. Suppose 49 + 6 = 4*k + 3*w, -w = 3. What is the least common multiple of k and (u/(-18))/(4/6)?
16
Suppose 0 = 11*o - 9*o - 3368. Let n = 1251202/743 - o. Let a = n - -84019/4458. Calculate the common denominator of -9/11 and a.
66
Suppose -20*v + 22*v = 2. Let a(q) = 3*q**2 - q + 1. What is the smallest common multiple of 6 and a(v)?
6
Let s(x) be the second derivative of 10*x**3/3 - x**2 + 8*x. Let d = 13 - 12. Calculate the least common multiple of 6 and s(d).
18
Let t = 2/2483 - -7331/146497. Let q = t - 4113/826. Calculate the common denominator of q and 79/18.
126
Let p(r) be the third derivative of 7*r**6/120 - r**5/60 + 2*r**2. Let w be p(-1). What is the common denominator of (-45)/6*(-4)/w and -24/11?
44
Suppose 0*i = 4*i - 20. Let q(p) = 4*p**2 + 5*p - 3*p + 5*p + 2 - 2*p - p**3. Calculate the lowest common multiple of q(i) and 7.
14
Let f = 68 - 63. Suppose -f*p - 6 = -76. What is the lowest common multiple of 18 and p?
126
Let r = 1130 + -1058. Calculate the least common multiple of r and 42.
504
Find the common denominator of 67/35 and (-9)/675*5*106/4.
210
Suppose 4*f + 0*f + 3*l - 69 = 0, 0 = l - 3. Let p = 26 - f. What is the lowest common multiple of p and -25*3/(105/(-14))?
110
Let u(k) = -2*k**3 + 32*k**2 - 29*k + 1. Let d = 8 - 6. Calculate the least common multiple of u(15) and d.
16
Suppose 5*o - 10 + 5 = 0, 2*o + 418 = 5*k. Calculate the common denominator of (0 + -3)/((-60)/k) and -24/29.
145
Suppose -388 = -5*o - 5*c - 78, -4*c - 112 = -2*o. Calculate the smallest common multiple of 1 and o.
60
Let s be (-2)/2 + (-585)/(-13). Let i = 50 - s. Calculate the least common multiple of 14 and i.
42
What is the common denominator of -158*7/264 - (-135)/27 and 1/21?
924
Let t be 26/6 + -1*4/12. Suppose t*d = 46 - 2. What is the smallest common multiple of d and 62?
682
Let n = 6 + -4. Suppose -3*x + f + 0 = -5, 0 = -x - n*f + 11. What is the lowest common multiple of x and 8?
24
Let m = 2432/9 + -7360/27. Find the common denominator of -35/27 and m.
27
What is the lowest common multiple of (4/(-10))/(8*(-2)/40) and 3?
3
Let m = 865/24 + -42. Let z(y) = 6*y**3 - 3*y**2 - 3*y - 4. Let u be z(3). Find the common denominator of (u/(-10))/((-66)/(-15)) and m.
264
Let a = 7 - -1. Suppose -3*z - 2 = -a. Suppose 0 = z*g + 10, 3*j + 0*g = g + 17. Calculate the least common multiple of 7 and j.
28
Let l be 11132785/(-990) - (-2)/11. Let w = l - -11248. What is the common denominator of -93/8 and w?
72
Let y = 75187/3 + -320312/15. Let p = 3720 - y. Find the common denominator of -35/17 and p.
85
Let o = 117/35 + 108/35. Let k = -2680238183/2291354934 - 106/1781769. Let z = k - -2/643. Calculate the common denominator of o and z.
42
Let s = -333/28 - -101/21. What is the common denominator of s and -25/432?
432
Suppose 6 = 14*f - 12*f. Suppose f*g + 16 = 2*g. What is the common denominator of (186/g - 1)*2 and 95/12?
12
Suppose 0 = 2*v + 4*a - 1732, -3*a = -2*v + 6*v - 3484. What is the common denominator of 19/5*50/44 and v/60 + (-12)/30?
66
Let o(a) = a + 1. Let c be o(3). Suppose -2*h - 3*d = h - 1155, 1531 = c*h + d. What is the common denominator of 19/22 and 2/3 - h/132?
22
Let c = 152819/374208 - -6/1949. What is the common denominator of -29/24 and c?
192
Let n(l) = -l + 5. Let i be n(8). Calculate the common denominator of 77/8 and ((-5)/(-6)*i)/((-3)/13).
24
Let j = -82 - -78. What is the least common multiple of (30/j - -3)/3*-20 and 2?
30
Suppose 10*g = 4*g + 60. Calculate the least common multiple of 14 and (-8)/20 + 224/g.
154
Find the common denominator of 1/36 and (-6)/(-44) + ((-110)/40)/(-11).
396
Let o be -3*((-4 - -4) + 1). What is the common denominator of (248/16)/(o/2) and -11/4?
12
Suppose 3*c + 70 = -2*c. Let z = 6 + c. Let j(k) = -2*k - 10. Calculate the lowest common multiple of j(z) and 16.
48
Let r = -6 - -7. Find the common denominator of (((-106)/r)/2)/4 and 21/(-30)*15/(-35).
20
Let q = 1 - 4. What is the common denominator of ((-2)/(0 - 4))/(2/(-83)) and (q + (-78)/(-27))*1?
36
Suppose 19*f - 40 = 18*f. Calculate the common denominator of -113/10 and -4 + -3 + 265/f.
40
Let k be (-64662)/16167 + (2 - -2). Let i = k + 280218/26945. Calculate the common denominator of i and -89/10.
10
Suppose 0 = 3*d - 5*g + 115, -6*d + 4*g = -9*d - 97. Calculate the common denominator of 101/62 and 7/d + (-1)/4.
620
Let o = -109942/11 + 9980. Let m = o - -116/11. Let a = -544 + 1029/2. What is the common denominator of m and a?
22
Let q = -94 - -94. Suppose 2*j - 20*j + 324 = q. Calculate the lowest common multiple of j and 10.
90
Suppose 0 = 5*s + 10, -7*r + 5*s = -8*r + 90. What is the least common multiple of 38 and r?
1900
Suppose -37*w - 180 = -40*w + 3*j, 3*w + 5*j - 164 = 0. Calcul