and k.
396
Suppose 122*w - 260 = 109*w. Calculate the smallest common multiple of 54 and w.
540
Suppose 4*p = -2*d + d + 74, -4*p = -5*d - 62. What is the least common multiple of p and 36?
36
Let c = -5849 + 27363/4. Let s = -1000 + c. What is the common denominator of -31/7 and s?
28
Let y = -167/2 - -89. Calculate the common denominator of 55/18 and y.
18
Let d = -268657/225765 - -11/10034. What is the common denominator of d and -25/162?
810
Let z = 52 + -40. Find the common denominator of ((-26)/(-36))/(6/z) and ((-20)/54)/(4/(-6)).
9
Let d = -2 + 4. Let h be 7011/(-38)*4/6. Find the common denominator of -3/11 and h/18 - 2 - d.
66
Let f(m) = -5*m - 55. Let q(o) = 3*o + 37. Let p(n) = 5*f(n) + 8*q(n). Let s be p(15). What is the smallest common multiple of 6 and (40/15)/(4/s)?
12
Let t = 67 - 55. What is the least common multiple of t/(-18) - ((-28)/6 + 0) and 18?
36
Suppose -108*d + 60 = -102*d. Calculate the least common multiple of 412 and d.
2060
Let u = 11/59 + -1411/4720. Find the common denominator of u and -69/56.
560
Let d(p) = -707*p - 13. Let m be d(16). Let o = 136051/12 + m. Find the common denominator of o and (1/4)/((-6)/177).
24
What is the smallest common multiple of (0 - (-15)/(-18)) + (-1421)/(-42) and 51?
561
Let o(n) = -5*n - 6. Let b(u) = u + 12. Let g be b(-10). Calculate the smallest common multiple of o(-4) and (24 + 0)*g/4.
84
Suppose -19*m - 192 = -21*m. Calculate the smallest common multiple of 72 and m.
288
Let o = 1/756 + 8945/756. Calculate the common denominator of o and -91/18.
18
Let y(w) = 89*w - 8. Let p be y(-4). Calculate the common denominator of 0 + 1 - -3*p/189 and -117/14.
126
Suppose j - 155 = -4*x - 11, -2 = -x. What is the least common multiple of j and 16?
272
Let g = 94027/12 - 7842. Find the common denominator of g and -119/156.
156
Let a = 279831 + -3935823017/14065. Let n = 886163/478210 + a. Let k = -19369 - -232571/12. What is the common denominator of n and k?
204
Let l be 122/(-14) + 4/(-14). Suppose -4*f + 14*n + 67 = 13*n, f + 2*n - 28 = 0. Calculate the least common multiple of 104/6 - 6/l and f.
18
Let x be 10/35 - 60/14. Let r = x + 6. Suppose 2*t + 3*t = 10. What is the smallest common multiple of t and r?
2
Let r be 265/(-5)*-3189*(-3)/(-78). Let q = -6498 + r. What is the common denominator of -103/14 and q?
182
Suppose 6 = -k + 3. Find the common denominator of (-6)/k - (-38)/22 and -21.
11
Calculate the common denominator of 7/4 and (-3*(-510)/9)/4.
4
Let p = -2 + 17. Suppose 2*t - c + 15 = 0, -t + 3 = -0*t - 4*c. Let m = p + t. Calculate the least common multiple of 22 and m.
66
Let k be (-3586)/20 + 1/2. Let h = -1729/10 - k. Let r = 3265/5168 - -18/323. What is the common denominator of h and r?
80
Let w = -3/5804 + -184259/34824. What is the common denominator of w and (-1)/2 - (-4)/(-80)?
120
Let y(u) = -4*u**3 - u - 1. Let x be y(-1). Suppose 4*b = 2*n - x - 0, n + 3*b - 7 = 0. Calculate the smallest common multiple of n and 14.
28
Let i = 101263/259014 + 156/881. What is the common denominator of -43/378 and i?
2646
Let u(f) = 5*f - 2. Let n be u(4). Let o be (-15 + 0)*(-84)/(-105). Let g = n + o. Calculate the lowest common multiple of g and 20.
60
Let k = -26412683 - -17009783755/644. Let j = -9/161 - k. Find the common denominator of 35/18 and j.
36
Let a(x) = x**3 - 14*x**2 - 14*x - 15. Let m be a(15). Suppose 3*n + 2*q - 16 = m, -4*n - q = -4 - 14. Calculate the smallest common multiple of n and 16.
16
Let i be ((-2)/(-4))/((-3)/(-18)). Suppose -18 = i*d - 5*h + 2*h, -d - 5*h = 24. Find the common denominator of d/33*37/2 and 101/18.
198
Let d(a) = 4*a**2 - 55*a - 57. Let n(b) = -4*b - 2. Suppose i - 1 = h - 0*h, -2*i + 6 = -3*h. Calculate the lowest common multiple of d(-1) and n(h).
14
Let k = -42 + 74. What is the least common multiple of k and 20?
160
Let t = 3353 - 734. Let s = -20985/8 + t. Find the common denominator of 53/6 and s.
24
Suppose 9*d - 14 = 4. Let y(w) = 5*w**2 + 2*w - 8. What is the smallest common multiple of 6 and y(d)?
48
Let i(x) = -x**2 + 16*x - 54. Calculate the lowest common multiple of 2 and i(10).
6
Let k = 5/1733 - 189257/124776. Find the common denominator of -9/32 and k.
288
What is the common denominator of 85/22 and (-9671)/(-6916) + (-6)/(-14)?
572
Suppose 6*m = 3*m - c + 562, -2*m + c = -378. What is the lowest common multiple of m and 20?
940
Let g = 29 - 26. Suppose -g*l + 124 = 28. What is the lowest common multiple of l and 22?
352
Suppose -6*n = -0*n - 54. Let f = 5/998 + -41447/5988. Find the common denominator of f and (-2444)/360 - 1/n.
60
Let h = 338 + -2353/7. Let b be ((-2)/488)/((-2)/(-13412)). Let u = -1/61 + b. Calculate the common denominator of u and h.
14
Suppose -5*j = -3*j - 12. Suppose -27 = -h - 0*h. Let k = h + -8. Calculate the least common multiple of j and k.
114
Let x = 4599773/99 + -46463. Calculate the common denominator of x and 47/27.
297
Let d = 291631/44 + -6627. Calculate the common denominator of d and 39/2.
44
Suppose 19 = 4*x + 3*t, 0*x + 10 = 3*x - 2*t. Suppose 3*l = -3*z + 60, -44*z + l = -42*z - 34. What is the smallest common multiple of z and x?
36
Let u(o) = -o**3 + o**2 + o - 1. Let l(k) = -3*k**3 - 8*k**2 - 11*k + 7. Let w(f) = -l(f) + 4*u(f). Calculate the lowest common multiple of 55 and w(13).
165
Suppose 2*s + 24 = -4*o, 3*o + 5*s + 4 = -0*o. Let h be (-3)/((-4)/o*2). Calculate the common denominator of -6 - h - (-24)/7 and -15/19.
133
Let t = 124 - 115. What is the common denominator of (-1)/(12/t) - 62/12 and 73/32?
96
Let b = 28 + -17. Let c(h) = -5 - 11*h**2 + h**3 + 2*h - 5 - 6. What is the lowest common multiple of c(b) and 12?
12
Suppose -25*p = -14*p - 44. What is the lowest common multiple of 12 and p?
12
Suppose -3*b + 2513 = 2*s, 831 = b + s + 3*s. Find the common denominator of 8/(-140)*-5 - b/70 and -73/4.
20
Let x be 5/(240/(-303988)) + 1/(-2). Let l = x - -6339. Find the common denominator of 107/36 and l.
36
Let l be 1035/81 + 4/18. Let d = l + -4. What is the smallest common multiple of d and 6?
18
Suppose 2 = -2*t + 50. Let c = 305 + -295. Calculate the smallest common multiple of c and t.
120
Suppose 0*h - 360 = 4*h. Suppose -2*u - 5 = 3*z - 4*z, -6 = 4*u + 2*z. What is the common denominator of 55/h*(-3)/u and 49/22?
132
Let d = 5576/7 + -183616/231. Calculate the common denominator of -20/3 and d.
33
Let p = -38 - -11. Find the common denominator of p/(7/(63/66)) and -53/10.
110
Suppose -2*r - 1 + 11 = 0. Suppose 3*u - r*u = -3*y + 11, 20 = 4*y. What is the smallest common multiple of 24 and u?
24
Find the common denominator of 61/219 and 1888/(-480) - 12/(-10).
1095
Let v be (2/(-5))/((-25)/625). Let q = 28 - v. What is the smallest common multiple of 34 and q?
306
Let i = 85 - 65. Calculate the lowest common multiple of i and (-75)/(-5)*6/5.
180
Suppose -23*t + 34*t = 594. What is the lowest common multiple of 18 and t?
54
Let q(b) = b**2 - 8*b + 11. Let l be q(6). What is the common denominator of 133/77 + 4/l and 65/14?
154
Calculate the common denominator of (-511)/270 + (-352)/(-40) + -9 and 107/126.
378
Let m = 102259/55 + -1859. Calculate the common denominator of -101/110 and m.
110
What is the common denominator of -71/106 and ((-5)/((-320)/(-86)))/(5/(-20))?
424
Let v = -333 - -345. What is the lowest common multiple of v and 172?
516
Let z = 42 - 21. Let v(q) = -42*q - 1749. Calculate the smallest common multiple of z and v(-42).
105
Let d(s) = -s**3 - 4*s**2 - 3*s - 6. Let n be d(-4). Suppose 0 = n*w - 29 - 7. Calculate the lowest common multiple of 30 and w.
30
Suppose 32 = -35*z + 39*z. What is the smallest common multiple of 566 and z?
2264
Let m(z) = z**2 - 4 - z**2 + z**3 + 0*z + z**2 + z. Let t = 21 + -7. What is the lowest common multiple of t and m(2)?
70
Suppose 56 = -4*t + 88. Calculate the smallest common multiple of t and 390/40 + 3/(-4).
72
Let o = 70147/13578 + 1/2263. What is the common denominator of -20/9 and o?
18
Let r be -5*3/((-60)/368). Let m = -80 + r. Calculate the smallest common multiple of m and 20.
60
Calculate the common denominator of ((-568)/(-100))/((7 + 29)/(-3)) and 27/250.
750
Let c = 9 + -8. Let u be c - (-4 + (0 - -2)). Calculate the common denominator of -3 + u + (-177)/(-21) and 101/6.
42
Let l be ((-177