the common denominator of r and (11 + -9)*(-101)/(-4)?
6
Let o = -67 + 94. What is the least common multiple of 33 and o?
297
Let g = 690289/60 - 11504. Find the common denominator of -157/60 and g.
60
Let f be (0 - (-696)/4155)/((-54)/490). Let j = f - 174/277. Calculate the common denominator of 31/27 and j.
27
Suppose -3*y + 24 = 5*y. Find the common denominator of 1 + 4/(-3) + 13 and y - (-1 + (-7)/(-13)).
39
What is the common denominator of 4 - -159*11/(-495) and -11/36?
180
Let t(i) = -i**2 + 2*i + 3. Let s be t(3). Suppose -4*x - 3*f + 29 = s, -x - 2*f + 38 = 4*x. What is the lowest common multiple of x and 5 - ((-9)/(-3) + -2)?
8
Let l = -606 - -7255/12. Find the common denominator of l and -67/177.
708
Let s(a) = 4*a - 2. Suppose -3*j - 16 = -7*j. Suppose 3*h - 8*h - 5*x = -35, x = -5. What is the lowest common multiple of h and s(j)?
84
Suppose -17 = -a - 2*l - l, l = -3. What is the least common multiple of a and 6?
78
Let a = 28283/41 - 691. Let m = 216 - 1112/5. What is the common denominator of m and a?
205
Let c = 10 - 8. Let a(f) = 22*f + 2. Let s be a(c). Calculate the common denominator of -41/6 and (s/5)/(22/(-10)).
66
Let y be 14/7 + 0 + -9. Let s(p) = p**3 + 8*p**2 + 10*p + 11. Let l be s(y). Find the common denominator of 17/9 and ((-75)/l)/((-2)/(-6)).
18
Find the common denominator of -67/82 and (-106)/16 + 56/(-448).
164
Suppose 0 = l, 8 + 73 = g + 5*l. What is the lowest common multiple of 30 and g?
810
Suppose 52 = 2*z - 4*r, 2*r = z - 6*z + 70. Suppose 0 = -z*i + 11*i + 10. Calculate the least common multiple of 152 and i.
152
Find the common denominator of 17/10 and (-28)/32*(-627)/(-539).
280
Suppose -3 = -z - 7. Let k be 4 + (-8 - (z + 4)). Find the common denominator of 5/(-10)*2/k and 41/8.
8
Let f(u) = u + 2. Suppose v - 2 = 1. Suppose 2*s = v*s. What is the smallest common multiple of 1 and f(s)?
2
Let q(t) = -6*t**2 - 4*t - 7. Let y be q(-2). Find the common denominator of (-4)/18 + y*15/(-216) and 37/48.
48
Suppose 0 = 42*g - 37*g - 60. What is the least common multiple of 36 and g?
36
Let l = 72/149 - 25099/447. Let a = 3361/60 + l. What is the common denominator of a and 71/16?
80
Suppose 0 = 3*b - 4*z + 5*z + 6, -5*b = -z + 18. Let k(q) = 6*q**2 + 2. Let r be k(b). Find the common denominator of -14 and (-474)/r - (-4)/(-14).
4
Let r = -30449/20988 - 56/477. What is the common denominator of 41/84 and r?
924
Let y = 144319/33 + -4374. Let l = -394/401 + -5953675/1604. Let f = 3689 + l. Calculate the common denominator of y and f.
132
Let u = -430/11 + 3208/77. What is the common denominator of u and -43/101?
707
Let g = -117043/181909 + 78/1999. What is the common denominator of 77/2 and g?
182
Let w = 73191421/113241 + 4/37747. Let m = w - 653. Find the common denominator of m and -79/2.
6
Let k(u) = 2*u**2 + 40*u + 16. What is the smallest common multiple of 12 and k(-20)?
48
Let m be (18/30)/(4/(-60)). What is the common denominator of (3 - (-243)/(-84))*(-249)/m and -46/5?
140
Suppose n - 3*v = 22, 3*n = 4*v + 52 - 6. Let f = 6 - n. Find the common denominator of f/(-5)*(-50)/(-12) and -7/3.
3
Let k(a) = -a**2 + 20*a - 17. What is the least common multiple of k(13) and 5?
370
Let s = -1472 + 1016. Calculate the common denominator of (212/(-18))/(s/(-36)) and -47/2.
114
Let m be -5*(-5 + 4) + 27. What is the smallest common multiple of 11 and (8/m - 13/4) + 12?
99
Calculate the smallest common multiple of 2/(2/(-10) - 56/(-180)) and 216.
216
Suppose -3*l = -2*v + 27, 0 = -2*v - 2*l + 14 + 18. Let t(r) = r**3 - 2*r**2 + 2*r + 3. What is the least common multiple of v and t(3)?
90
Let d = -25711/4850 + 3/2425. What is the common denominator of (-116)/(-56)*-2 + 3 and d?
70
Let u(p) = -2*p**3 - p. Let v be u(-1). Suppose -7*j + 3*j + 4*k = 0, 0 = -4*j - v*k + 14. Let b = 8 + -5. What is the smallest common multiple of j and b?
6
Let y be (-1308)/5 + 18/30. What is the common denominator of (2/(-3))/((-56)/y) and -11/3?
84
What is the common denominator of (-1 + 128/124)*13 and -99/4?
124
Suppose -4*u + 18 = -u + z, 0 = 4*u - 2*z - 24. Suppose -w = 5*s + 12, 2*w = -4*s + 5*s + 9. Calculate the smallest common multiple of w and u.
6
Let v(a) = 2*a**2 - a + 2. Let r be v(-4). Let g = -27 + r. Suppose 2 = j - 5*z - 2, 3 = 3*z. Calculate the smallest common multiple of j and g.
99
Let u(s) = 14*s - 9. Let b be u(-3). Let k = b - -59. Suppose 0 = 2*y - 5*y + 3. Calculate the lowest common multiple of k and y.
8
Suppose -2405 = -16*y - 565. What is the lowest common multiple of y and 161?
805
Let p = 1/49 + -251/294. Let y = p + 31/3. Calculate the common denominator of y and -24/11.
22
Let f(d) = 7*d - 5. Suppose -5*o = 11 - 21. What is the least common multiple of f(o) and 10?
90
Suppose 0 = 5*t - 9*t - x + 635, -2*x + 310 = 2*t. Calculate the least common multiple of 9 and t.
1440
Let m(i) = 4*i**2 - 11*i - 3. What is the least common multiple of m(6) and 4?
300
Let v(w) = w**3 + 5*w**2 - 7*w - 2. Let m = 65 - 45. Calculate the smallest common multiple of v(-6) and m/90 + 70/9.
8
Let p(h) = -h + 2. Let y be p(-2). Suppose 30 = -4*s - 3*u, 0 = -3*s - y*u + 3 - 22. What is the common denominator of 372/s*1/(-4) and 32/9?
9
Suppose y - 3*y + 10 = 0. Let d(v) = v + 1. Let b be d(0). Suppose -9 = -5*n + b. What is the lowest common multiple of n and y?
10
Suppose -9*s + 29 + 79 = 0. Calculate the lowest common multiple of 21 and s.
84
Let x = 10998003545/89 + -4909728755538749/39731380. Let n = -2/8585 + x. What is the common denominator of n and -41/2?
52
Suppose -k + 10 + 0 = 0. Suppose -r - k + 34 = 0. Calculate the smallest common multiple of r and 12.
24
Let y = -36 + 54. Let f(b) = b**2 + 10*b + 11. Let a be f(-12). Suppose -3*o + a = 2*o. Calculate the least common multiple of y and o.
126
Let x(q) = -q**3 + 14*q**2 - 38*q - 8. Calculate the least common multiple of 374 and x(10).
2244
Let p = 52 + -32. Suppose 4*v - 188 = 2*l, -4*v + 6*l + 132 = -v. Calculate the smallest common multiple of p and v.
240
Calculate the common denominator of (73/730)/(3/65) and -47/967.
5802
Let g(t) = -t**3 - 6*t**2 - 6*t - 4. Let n be g(-5). Let r(f) = f**2 - 14*f - 68. Calculate the lowest common multiple of r(18) and 7 - n - (-2 - -1).
28
Let f be 1 - 1*3*-71. Suppose 2*n - n + 3*w = -89, 2*n + f = 3*w. Find the common denominator of 21/10 and (n/(-6))/(20/(-6)).
20
Let t be (38/(-15))/(5/(-360)). Let s = 1947/10 - t. Calculate the common denominator of s and (-4 - 7) + 66/(-8).
20
Suppose 0 = -2*v + o + 17, 22 + 15 = 5*v + 3*o. Let d(r) = r**3 + 49*r**2 - 2*r - 93. Calculate the lowest common multiple of d(-49) and v.
40
Let a(i) = 19*i + 29. Let m(z) = -z - 2. Let u(f) = -a(f) - 3*m(f). What is the smallest common multiple of u(-2) and 5?
45
Let w = -15/442 + -12065/2652. Calculate the common denominator of (84/(-520))/((-4)/10) and w.
156
Let q = 3450204/7 - 494621. Let m = 1739 + q. Find the common denominator of -2/5 and m.
35
Suppose -2*n - 3*n = -80. Suppose -4*t = -h + 32, -45 = -3*h + 4*t + 11. Suppose 0 = -9*l + 15*l - h. Calculate the lowest common multiple of l and n.
16
Let m = 1850/231 - 88/21. What is the common denominator of (-1100)/120 - 12/(-9) and m?
66
Let u = 895 + -865. Calculate the lowest common multiple of 75 and u.
150
Let b(d) = -d**3 + 9*d**2 + 17*d - 37. Let t(w) = w**2 - 6*w + 6. Calculate the lowest common multiple of t(6) and b(10).
66
Let i = -4706 - -32995/7. What is the common denominator of 47/16 and i?
112
Let a = -387 + 531. Calculate the least common multiple of a and 144.
144
Let y = -15112/11 + 1375. Let p be 5/15*1 + (-342866)/(-66). Let r = p + -5200. Find the common denominator of y and r.
11
Let f = 326 + -10718/33. Calculate the common denominator of -68/75 and f.
825
Suppose -f + 5*f - 16 = 0. Let t be 0 + (3 - (2 + -1)). Suppose -2*w + 3*w + 4*k - t = 0, 5*k - 2 = -w. Calculate the least common multiple of w and f.
4
Let g = -2/325 - 25021/650. What is the common denominator of g and ((-6)/1 - -5)*(-1)/(-10)?
10
Let m(d) = -2*d - 2. Let t(i) = 2*i**2 + 24*i + 43. What is the smallest common multiple of m(-8) and t(-2)?
42
Suppose 278*n = 275*n + 36. What is the lowest common multiple of 240 and n?
240
Suppose 0*i - 72 = -2*i + m, m = 3*i - 108. Calculate the smallest