minator of w and (-30)/g*(-11 - 1).
10
Let l(n) = 6*n - 3*n + 0*n**2 - 2*n**2 + 1 + n. Let h be l(3). Calculate the common denominator of (-118)/8*(-7 - h) and 21/10.
10
Let d = -3 + 3. What is the common denominator of (255/50)/(-2 + d) and 13/18?
180
Let j = -3410/27 + 47401/378. Find the common denominator of j and 8/217.
3906
Let s = -118881/16 - -7433. Let d = -34163/7140 + -1/1020. Find the common denominator of s and d.
112
Suppose -13*j = -25*j + 1356. Calculate the least common multiple of 11 and j.
1243
What is the common denominator of (-765)/(-70) + -12 + 5 and -57/8?
56
Calculate the common denominator of (-18)/((-6)/72*-45) and -79/108.
540
Let c be 0 + (-2 - -3) + 1. Suppose 15 = c*v - 5. Calculate the least common multiple of 3 + 0 + (-4 - (-4 - 4)) and v.
70
Let p be (18/(-36))/(1*(-2)/160). Suppose -2*m + 0*m = -5*j + 50, -p = -4*j - m. Calculate the lowest common multiple of j and 4.
20
Let l = -31/10 + 19/15. Let y = -677473/26 - -26053. Calculate the common denominator of y and l.
78
Let y(a) = a - 2. Let j be y(2). Suppose j = -3*l + u - 9, 3*u = -l - 2*u - 19. Find the common denominator of -15/4 and 16/((-4)/l) + -4.
4
Suppose -6*t + 5*t = -14. Suppose 10*x + 128 = 2*z + 6*x, -4*z = -5*x - 262. What is the smallest common multiple of t and z?
476
Let g(o) = o**3 + 22*o**2 - 24*o - 24. Let a be g(-23). Calculate the common denominator of 66/(-48) + (-2 - a) and -45/8.
8
Suppose 13 - 373 = -4*i. Let g = i + -80. Suppose u = 5*u - 88. What is the smallest common multiple of g and u?
110
Let f(x) = x**2 - 15*x + 9. Let i be f(16). Suppose 3*t - 45 = w, -3*t + i = -3*w - 26. Calculate the smallest common multiple of 20 and t.
140
Let s be (-12 + -1)*(-1)/84. Let z = -3/49591 - 11951179/4165644. Let l = s + z. Find the common denominator of 37/10 and l.
70
Let u(i) = -62*i + 113. Calculate the least common multiple of u(1) and 21.
357
Let p be (-55)/22*(-12)/10. Suppose 0 = 2*g - w - 7, -7 = p*g - w - 4*w. What is the common denominator of 274/(-60) - 2/g and 58/5?
10
Let z = -417 - -465. Calculate the least common multiple of 138 and z.
1104
Let g be (-6)/(-2)*(-8)/(-12). Suppose -g*h - 2*h = -44. What is the lowest common multiple of 28 and h?
308
Suppose 0 = -313*h + 317*h - 448. Calculate the least common multiple of h and 16.
112
Suppose -4*j - 105 = j. Calculate the common denominator of 2 + (384/j)/4 and 17/11.
77
Suppose -a = -4*j - 2 - 0, 3*j - 6 = -3*a. Find the common denominator of 33/18 - (9/6 - a) and -65/24.
24
Let x(g) = -g**3 - 24*g**2 + 15. Calculate the lowest common multiple of 20 and x(-24).
60
Suppose v + 0*h - h = -23, v + 35 = -3*h. Let g = 50 + v. Calculate the smallest common multiple of g and 1.
24
Suppose 3*c + 16 = 5*c + f, -5*c + 27 = -4*f. Suppose 0 = 3*u + 5*y + 31, 2*u + 2*u + 45 = -3*y. What is the smallest common multiple of (-30)/u*16/10 and c?
28
Let w(b) = -b**2 - 15*b + 4. Let g be w(-15). Suppose 2*p - 4 + 2 = 0, 0 = g*v + 5*p - 29. Let f = 10 + v. Calculate the least common multiple of f and 12.
48
Let l(g) = -g**2 + 22*g + 15. Suppose -5 = -o - z, -3*o + 3*z - 17 = -62. Let u be l(o). What is the common denominator of 9/2 and 10/((-9)/(u/110))?
22
Let j(r) = -r**2 + 2*r + 12. Let k be j(4). Suppose 0 = 2*q - k*q + 18. Calculate the least common multiple of q and 24.
72
Let n(f) = f - 1. Let v be n(7). Let q = 26 - 21. What is the least common multiple of 3/(-2)*(-20)/v and q?
5
Let z(u) = 10*u + 66. Calculate the least common multiple of z(-5) and 120.
240
Suppose 5*u - 248 = -2*x, -5*x + 1 = -u + 56. What is the least common multiple of 25 and u?
50
Let p(n) = 2*n - 30. Let l(s) = 59*s - 1. What is the smallest common multiple of p(18) and l(1)?
174
What is the common denominator of 131/70 and (26/132)/((-345)/1863)?
770
Suppose -2 = -4*u - 2*h + 32, 4*u - h = 31. Calculate the common denominator of -55/4 and (214/(-55))/(u/10) - -2.
44
Let t(z) = 0*z**2 + z**2 + 0 + 7 + 12*z. Let o be t(-11). Let w = o + 12. Calculate the least common multiple of w and 8.
8
Let g be (315/30)/((-1)/2). What is the common denominator of (7/(g/(-58)))/(-1 - 7) and 38/(-32) + (-2 - -1)?
48
Let s = 843/110 + -48/11. Find the common denominator of s and 139/12.
60
Let h(x) = -x + 9. Suppose g + l - 6 = 2, 20 = 4*g - 2*l. What is the lowest common multiple of -1 + -1 + 6 + -3 and h(g)?
3
Suppose 0*x + 164 = 2*x. Suppose 50 + x = 4*l. Let k = -97/3 + l. Calculate the common denominator of k and 37/4.
12
Let y = 15017/6 - 2698. Let c = y - -212. Calculate the common denominator of c and 32.
6
Let x be 1/2 + (-2)/(-4). Let a be 0 - -7 - (2 + x). Suppose -y + 9 = j, 0 = -0*y - a*y + 4*j - 4. What is the smallest common multiple of y and 10?
20
What is the least common multiple of ((-1)/(-1))/((-5)/(-240)) and 24?
48
Let k be -4 + 5 + 2 + -58. What is the common denominator of 2649/594 + 10/k and -15/22?
198
Let l(t) = -6*t**2 + t - 5. Let j be l(8). Let w = j - -535. Calculate the lowest common multiple of 14 and w.
154
Let f(z) = z**3 - z**2 + 3. Let s(q) = q**3 - 17*q**2 - q + 21. Calculate the smallest common multiple of f(3) and s(17).
84
What is the lowest common multiple of 17 and 1/(-5*7/(-315))?
153
Let k be 2/(-60)*7225911/(-22). Let b = k + -10945. Let s = -3869 - -15573/4. Calculate the common denominator of s and b.
20
Let g(b) = b**3 - b + 40. Suppose 5*n = 4*c - 59, 2 = 4*n - 2. What is the lowest common multiple of c and g(0)?
80
Calculate the common denominator of -41/10 and (3 - (-224)/(-40))/(42/(-55)).
210
Suppose 28 + 56 = 4*x. Calculate the smallest common multiple of 242/12 - (20/24)/(-1) and x.
21
Calculate the least common multiple of 15 and ((-4)/8*2)/((-2)/318).
795
Find the common denominator of (-4)/26 + 9418/(-1989) and -87/76.
684
Suppose -2*j - 5*n = -19, -2*n - 19 = -2*j - j. Suppose -v - 3*i + 82 = 4*v, -4 = 4*i. Let u(z) = -z + 25. What is the lowest common multiple of u(v) and j?
56
Let d = 113 - 69. What is the common denominator of (2*3)/3 - (-99)/d and 25/9?
36
Let t(x) = x + 1. Let h be t(-5). Let z = -58933/12 - -4907. What is the common denominator of h/((-176)/170) - 2 and z?
132
Suppose -4*p - 5*o = -697, 0 = 2*p - 18*o + 16*o - 326. Calculate the lowest common multiple of p and 168.
168
What is the smallest common multiple of 4 and (-4 + -2)*(-25 + -7 + 8)?
144
Let j = 6/51355 + 400323/2105555. Find the common denominator of -77/135 and j.
5535
Let c = -316397/44 - -7192. Calculate the common denominator of c and -101/24.
264
Let w(j) = -2*j**2 + 0 + 1 + 8*j + j**2. Let t be 5/4*-1*12/(-3). What is the least common multiple of 2 and w(t)?
16
Calculate the lowest common multiple of 406 and 4623/207 - (-2)/(-6).
4466
What is the common denominator of (1 - 9/5) + (-1924)/(-5920) and -31/30?
120
Calculate the common denominator of -45/8 and 131/42 - ((-104)/(-24))/(-13).
168
Suppose -3*a = -0*a - 90. What is the least common multiple of a and 10?
30
Let g = -350/33 + 1873/165. What is the common denominator of 56/15 and g?
165
Let q = -4356 + 69747/16. Let r = -498 + 10013/20. What is the common denominator of r and q?
80
Suppose 0 = 2*j + 49 - 21. Calculate the lowest common multiple of 7 and 4/j - (-259)/49.
35
Suppose -83 = 10*x + 37. Calculate the common denominator of (x/70)/(1 + 82/(-90)) and -103/20.
140
Let f = -6167 - -37099/6. Suppose 2*s - 4*s - 14222 = 0. Find the common denominator of f and s/(-910) - 2/(-7).
30
Let p = -25 + 20. Let o be 2/(-2) - (p + 0). Suppose -5*q + o*q = -6. Calculate the lowest common multiple of 1 and q.
6
Let a(v) = 5*v - 3. Suppose 3*w - 11 = 4. Suppose 0 = -3*h + w*h - 4. What is the smallest common multiple of h and a(5)?
22
Let b = -10773/4 + 2709. Find the common denominator of b and 35/276.
276
Suppose 4*u + 4*c = -45 + 1, -19 = 2*u + 5*c. What is the smallest common multiple of (-35)/(-2)*u/(-15) and 40*3/(-24)*-4?
140
Let d = -376802/63 - -5982. What is the common denominator of -83/28 and d?
252
Suppose 5*q = 3*q + 40. Let j be (-3)/(-1) - (-8 - -19 - 8). Suppose 8*b = -j*b + 96. What is the smallest common multiple of b and q?
60
Let z = -6 - 0. What is the common denominator of (-2*1)/(24/110) and (9 - 8) + 28/z?
6
Let h = -5/74 + 539/37. Let b = 4 - -1. Suppose 50 = -10*p + b*p. What is the common denominator of p a