*r - 2*d + 4 = a, -2*r - r - 2*d = -1. Calculate the least common multiple of r and 9.
9
Suppose 4*z - 2*b = 26, -b - 2 + 1 = z. Suppose -2*a = -3*a + z. Suppose -4*w + 83 + 13 = a*q, -5*q + w = -108. Calculate the least common multiple of q and 4.
44
Suppose -10 = -2*l + 8. Calculate the lowest common multiple of 5 and (4/(-6))/((-3)/l).
10
Let o(d) = -3*d. Calculate the smallest common multiple of o(-6) and 15.
90
Let j = 123008/9 + -13702. Let l = -269/18 - j. What is the common denominator of 9/16 and l?
16
Calculate the common denominator of (-4 - 35/(-24))*-2 and -109/24.
24
Let t be 1/(2 + -2 + 1). Suppose 0 = -w - t - 0. Let f = w + 4. What is the lowest common multiple of 8 and f?
24
Let s = -10 + 20. What is the least common multiple of 7 and s?
70
Let u = 2101/18 + -1268/9. Find the common denominator of u and (-2)/(-7) - 24/7.
42
What is the least common multiple of (4/(-10))/((-2)/10) and 11?
22
Calculate the smallest common multiple of 6/(6*5/50) and 12.
60
Suppose -3*p - 12 = 0, 4*t + 0*p - 2*p - 90792 = 0. Let w = t - 408653/18. Let u = -20167/12 - -1685. Find the common denominator of u and w.
36
Let u be (3868/6)/(35/(-15)). Let c = u - -17035/63. Find the common denominator of 55/7 and c.
63
Let a = 6118 + -342711/56. Calculate the common denominator of -121/18 and a.
504
Calculate the lowest common multiple of (-6)/5*(-20)/3 and 20.
40
Let w be -120 - -1*0/(-1). Find the common denominator of w/14 - 12/(-42) and -19/9.
63
Let n(k) = 7*k**2 + 3*k + 2. What is the lowest common multiple of n(-1) and 18?
18
Suppose -a - 4*a - 3 = 2*t, -5*a = 15. Calculate the smallest common multiple of t and 1.
6
Suppose -28 = l - 31. Calculate the least common multiple of 10 and l.
30
Let r(c) = -3*c**2 + 4*c. Let k be r(-3). Let n = -17 - k. Calculate the smallest common multiple of n and 6.
66
Suppose 3*p - 2516 - 47750 = k, 0 = -k + p - 50260. Let t = -174643077/3475 - k. Let y = t - 232781/76450. Find the common denominator of -51/10 and y.
110
Let n be 1 + -4 + 1*221. Let l = n - 4797/22. Let h = -28027/6 + 4690. Find the common denominator of h and l.
66
What is the common denominator of -82/33 and ((-3)/(-180))/((-2)/(-655))?
264
Let v be -4*((-51)/6 + -2). Suppose 4*h - v = h. What is the smallest common multiple of 22 and h?
154
Let u = 47 - 29. Let o = 29 - u. Calculate the lowest common multiple of 6 and o.
66
Suppose w - 22 = 2*w. Calculate the common denominator of -107/22 and 2/1 + 27/w.
22
Let g = -7 - -12. Calculate the least common multiple of 10 and g.
10
Let m = -43 - -85. Calculate the common denominator of m and 31/8.
8
Suppose -4*c - 586 = 254. Let i be 1 - 4*2558/(-4). Find the common denominator of 4/14 + i/c and 37/4.
20
Suppose 0 = v - 5*k - 37, -4*v + 7*k = 10*k - 79. Let a(j) = j**3 + j**2 - j + 1. Let x be a(0). What is the smallest common multiple of 7/(1*x/2) and v?
154
Suppose 12 = 4*k - k. Suppose -k = -4*u + 12. What is the least common multiple of u and 2/1 - (0 + -10)?
12
Let a be (153723/54)/(1/3). Let r = -8559 + a. Find the common denominator of -19/6 and r.
6
Let p be (-8)/(-28) + (-24)/(-14). Let c be (4/10)/(p/110). Suppose -z = z - c. What is the least common multiple of 2 and z?
22
Suppose -2 = 4*w - 10. What is the least common multiple of 18 and w?
18
Let r = 7 + -13. Calculate the common denominator of ((-1 - 0) + 24)/(-10) and (2/4)/(r/232).
30
Let d(m) = -m + 7. What is the lowest common multiple of d(-3) and 30?
30
What is the common denominator of (1 - (-38)/12) + 1 and 53/14?
42
Suppose 0 = -0*k + k + 5*m + 4, -4*k - 2*m = -2. Calculate the common denominator of 1860/(-8)*k/20 and -51/11.
88
Suppose 2*w = 7*w - 76920. Let t = 277007/18 - w. What is the common denominator of ((-2)/(-72))/(2/20) and t?
18
Suppose 3*v + 7 = -n - 1, 0 = -3*v + n + 2. Let c = -3043 + 54805/18. Find the common denominator of -49*(v - (-19)/18) and c.
18
Let w = -1/504 + 14369/2520. Suppose 3*p + 11 = 2. What is the common denominator of (-128)/(-10) + p/6 and w?
10
Suppose -1 = o - 5. Suppose -2*g - 4 = -o*g, 0 = u - g - 18. What is the smallest common multiple of (1 - 0)*1 + 1 and u?
20
Let m(z) = z**3 + 8*z**2 - 11*z + 12. Let g be m(-9). Let o = 62573/9 + -6945. Calculate the common denominator of 12/g + (-113)/20 and o.
36
Suppose 52 = 5*q + c, 3*q - 5*c - 39 = 9. Calculate the lowest common multiple of q and 38.
418
Let s = -7 + 7. Suppose 2*y - 3*y + 6 = s. Calculate the smallest common multiple of y and 10.
30
What is the common denominator of (-6)/4 + 134/8 and -1/28?
28
Suppose 4*u + 2*q - 11 = q, -3*u = 5*q - 21. Calculate the least common multiple of u and 38.
38
Let z be 499/(-1285) - 2/(-5). Let r = z + -17231/1028. What is the common denominator of (-2 - (-17)/8)*-74 and r?
4
Let a(s) = s**3 - s**2 + s + 1. Let i be a(0). Calculate the common denominator of i/(1*(-54)/(-321)) and 14/(-40) + (1 - -1).
180
Calculate the common denominator of 194/48 - 6/27*3 and -111/40.
40
Suppose 2 = -3*c + 5. Let u be 4/6 + 28/3. Suppose 4*r + q = 3*q + 38, -r + u = -q. What is the least common multiple of r and c?
9
Suppose -42*n = -41*n - 4. What is the smallest common multiple of 32 and n?
32
Let j(q) = -2*q + 3*q**2 + q - 1 - 4*q + 3*q. Calculate the least common multiple of j(3) and 12.
60
Let q = 107 - 90. Calculate the smallest common multiple of 9 and q.
153
Let z = -23 + 39. Calculate the lowest common multiple of 1 and z.
16
Let j = -17 + 25. Calculate the smallest common multiple of j and 12.
24
Let v = 11 + -9. Let n = -25 - -36. Calculate the lowest common multiple of n and v.
22
Let h(z) = -z**3 + 5*z**2 + 2*z + 4. Let v be h(6). Let n = -16 - v. Let u = 60 - 40. Calculate the least common multiple of u and n.
20
Suppose -140 = 19*z - 26*z. Calculate the lowest common multiple of z and 10.
20
Let q(i) be the first derivative of i**4/4 + 8*i**3/3 + 5*i**2/2 + 2*i + 3. What is the lowest common multiple of q(-7) and 14?
112
Let j = 1397/40 - 154/5. What is the common denominator of 87/10 and j?
40
Suppose -3*t + 24 = -0*t. Suppose -3*x + 19 = -t. What is the least common multiple of x and 3?
9
Let i = 21341/2880 - -11/320. Find the common denominator of i and -87/4.
36
Let z(m) = m + 1. Let n(d) = 2*d - 5. Let t be n(6). Let h be z(t). Suppose 0*w - h = -4*w. Calculate the lowest common multiple of 11 and w.
22
Let z = 21 + -15. Let m(h) = -h**3 + 7*h**2 - 6*h + 5. Calculate the least common multiple of m(z) and 11.
55
Suppose -z - z = -4. Let t(m) = 3*m - 6. What is the smallest common multiple of (z - 2*-1)/1 and t(8)?
36
Suppose -114 - 48 = -9*s. Suppose 0*d = -2*d + 8. What is the smallest common multiple of d and s?
36
Calculate the common denominator of (-2)/(-16) + (-2 - -1) and -71/20.
40
Calculate the common denominator of -107/10 and 69/(-9) + (-2)/(-12).
10
Suppose -2*g + 4*g - 34 = 0. Suppose 2*y - 5*y = -9. Suppose -y = 2*h - g. What is the lowest common multiple of 5 and h?
35
Let b(n) = n - 8. Calculate the least common multiple of 6 and b(12).
12
Let k = -75929/18 + 4221. Let x = -167216602781/3087 - -54167997. Let i = 3/686 - x. Calculate the common denominator of i and k.
18
Let u = 4 + 1. Suppose u*f - 2*f - 9 = 0. What is the smallest common multiple of f and 11?
33
Suppose -24 = -4*c - w + 3*w, 2*w = 5*c - 28. What is the lowest common multiple of c and 4?
4
Let x = -7 - -16. Let k = 2 + -2. Let r = 7 - k. What is the lowest common multiple of r and x?
63
Let f = 9516 - 4957825/521. Let x = f + -65191/3126. Find the common denominator of x and 962/(-288) - (-8)/(-36).
48
Suppose -3*v + 7*v + 648 = 0. Suppose 0*u = -2*h + 2*u, 3*h = -u + 8. What is the lowest common multiple of h and 6/21 + v/(-21)?
8
Let g = -3133 + 31381/10. What is the common denominator of g and (-2)/(-6) - (-195)/(-36)?
60
Suppose 0 = -6*j + 4*j + 4. Suppose -j + 4 = a. Calculate the least common multiple of a and 12.
12
Suppose 5 = u - 4. Calculate the common denominator of u/(-24)*46/(-4) and -15/2.
16
Let x = -138151/10 - -13803. What is the common denominator of x and 43/22?
110
Let a = 2941 - -696. Let s = a - 28999/8. What is the common denominator of s and 38/(-16) - (1 - 1)?
8
Let s be (-1)/2*(-6)/(-3). Let h = 1 - s. What is the lowest common multiple of h and 3?
6
Let w be -8*5/(40/(-6)). Suppose 0