-9. Suppose 0 = 4*q + q - 30. Calculate the lowest common multiple of q and y.
66
Suppose -4*l + 68 = 4*z, -3*z + z - 2 = 0. Suppose -110*y + 108*y - 10*g = -118, g = 3*y - 65. What is the lowest common multiple of y and l?
72
Suppose -15 = 19*c - 72. Calculate the lowest common multiple of 9 and c.
9
Suppose 11 = 4*l + 5*b - 39, -36 = -4*l + 2*b. What is the least common multiple of 10 and l?
10
Let m = 5127/7 + -86011/119. Let t = m - 2165/272. What is the common denominator of t and 9/68?
272
Let g = 1511371/1588791 - 2/38751. Find the common denominator of 16/9 and g.
369
Let y(h) = h**3 - 9*h**2 - 55*h + 53. Calculate the smallest common multiple of 196 and y(13).
196
Let i = 32 + -17. Let z(d) = d**2 - 6*d - 9. Let g be z(6). Let c = g + i. Calculate the least common multiple of c and 3.
6
Let t = 3622/5 + -44189/60. What is the common denominator of 658/(-48)*(-2)/(-14) and t?
24
Let z(g) = -13*g + 5. Let n be (-1)/(20/16 + -1). Let r be z(n). Suppose 12 = 2*a + 2*l - 12, -5*a = 2*l - r. Calculate the smallest common multiple of a and 9.
99
Let l = -475 - -485. Let i(z) = 2*z**2 + 4*z + 2. What is the least common multiple of i(-2) and l?
10
Suppose 4*r - 40 = s + 81, 3*s + 33 = r. What is the smallest common multiple of 30 and r?
30
Let h = -1028 + 8249/8. What is the common denominator of h and 1 + -3 - (-22)/(-72)?
72
Let n(s) = -s**2 - 9*s - 13. Let q be n(-5). Suppose 0 = 2*r - x - 19, q*r = 3*r - 2*x + 26. What is the lowest common multiple of (-2)/(0 - 2/16) and r?
16
Let u(f) = -4*f**2 - 76*f + 110. What is the lowest common multiple of 18 and u(-20)?
90
What is the common denominator of 1/((-3)/(-12)) + (-697)/136 and -29/32?
32
Let i(t) = t**2 - 11*t + 2. Let m be i(11). Suppose -l + m = -2. What is the smallest common multiple of -4*-7*l/8 and 6?
42
Let h = -5/20764 - 882155/1308132. What is the common denominator of -11/378 and h?
378
Let b be (-6145514)/2510 - (-24)/60. Let i = 2448 + b. Let g = -1790/2761 - i. What is the common denominator of -3/11 and g?
11
Let d = -118 - -133. Let z(a) = a**3 - 6*a**2 + 5. Let u be z(6). What is the common denominator of d and (-5)/(u/2) - 9?
1
Calculate the common denominator of 634/(-1232) + 10/(-55) and -65/22.
616
Let v = 36269 - 1450839/40. Find the common denominator of 17/50 and v.
200
Let g = -5652 + 305225/54. Find the common denominator of ((-30)/(-70))/((-17400)/2170 - -8) and g.
108
Let v(n) = -28*n + 2. Let h be v(2). Let g = 96 + h. What is the lowest common multiple of 4 and g?
84
Suppose -4*q - 1 = 7. Calculate the common denominator of -127/36 and (0 - 62)*q/(-8).
36
Suppose 5*i - 4 = 1. Let x(a) = -a**2 + 11*a + 12. What is the least common multiple of x(8) and i?
36
Let p = -2 - -3. Suppose -4*c + g - 34 - 6 = 0, -52 = 4*c + 2*g. Let y = -6 - c. What is the lowest common multiple of p and y?
5
Suppose w = -0*w + 2. Suppose 4*z = 5*h + 32, 0*h + 5*h + 26 = 2*z. Suppose 10 = f - w*y, 61 = z*f + 2*f + y. What is the smallest common multiple of f and 4?
12
Let y be 344257982139/277095 - (-3)/6. Let k = 80754434/65 - y. Let x = k - -6/1421. What is the common denominator of x and -23/20?
20
Calculate the common denominator of -47/4 and 2 + 4 - 16/(4608/1593).
32
Let w(q) = 4*q + 4. Let k(z) = z + 1. Let r(j) = -14*k(j) + 3*w(j). Let x(p) = p**2 + 45*p + 140. Calculate the smallest common multiple of r(-2) and x(-42).
14
Let d = 829/6 + -134. Calculate the common denominator of 2/7 and d.
42
Let m(p) = -p**2 + 70*p - 524. What is the lowest common multiple of 200 and m(56)?
2600
Let j be (-14 + -79)*22/(-6). Let c = 4127/12 - j. Calculate the common denominator of c and ((-4)/48)/((-2)/(-93)).
24
Let g(b) = 38*b**2 + 2*b - 1. Suppose 2*v + 0*h + 4*h - 170 = 0, 5*v - 397 = -3*h. Let c = v - 67. Calculate the smallest common multiple of c and g(1).
390
Let r = 9115033/114 + -79957. Find the common denominator of -151/342 and r.
342
Let s = -799111/344 - -2323. Find the common denominator of -97/14 and s.
2408
Let j(r) = 16*r**2 + r + 1. Calculate the smallest common multiple of j(-1) and 1248/273 - (-16)/(-28).
16
Suppose 18*b + 2*l - 46 = 15*b, -3*b - 4*l + 56 = 0. Calculate the smallest common multiple of b and 34.
204
Let j(s) = -s**3 + 19*s**2 + 18*s + 80. What is the least common multiple of 112 and j(20)?
560
Let h(x) = x**3 - 7*x - 21. What is the smallest common multiple of 2 and h(6)?
306
Suppose m = -8 + 44. What is the least common multiple of 18 and m?
36
Let q be ((-238)/4)/7*2. Let n = q + 20. What is the common denominator of -11/6 and (n/8)/((-18)/228)?
12
Suppose 4*h = 6*h - 44. Let z = 1954 - 1938. What is the smallest common multiple of z and h?
176
Let d = -3 - -4. Suppose 5*p = 38*p - 660. What is the smallest common multiple of p and -8*d*(-15)/6?
20
Let s = 13 - 10. Let w = s - 4. Calculate the least common multiple of 9 and 1/(w/8*-2).
36
Let c(z) = -8*z**3 + 2*z + 1. Let n be c(-1). Let v be (-7)/(n/2) + -1. Let k = v + 7. Calculate the smallest common multiple of 16 and k.
16
Let t = 63 - 18. Calculate the lowest common multiple of t and 15.
45
Suppose 0 = 5*g - 8 - 12. Suppose 2*s = a + 26, -g*a = 3*s - 5*s + 32. Calculate the least common multiple of (-2)/12 + (-545)/(-30) and s.
36
Suppose 3*h = 3*i + 2*i - 24, 3*h = -9. Suppose 0 = 5*w - 2*b - 4, 0 = i*w + b - 2 - 7. What is the smallest common multiple of w and 34?
34
Let o = 245 + -228. What is the smallest common multiple of 8 and o?
136
Let i = 67789/8 - 8486. What is the common denominator of i and -59/42?
168
Let z = 855 + -57282/67. Calculate the common denominator of 105/630*282/8 and z.
536
Let h be (3/6)/(4/40). Suppose 5 = -h*d + 85. What is the lowest common multiple of 34 and d?
272
Let r = -1/24979869769929 - -73970648488037219093/62658506136099106440. Let z = r + 2/104515. Calculate the common denominator of 9/2 and z.
72
What is the common denominator of -61/388 and (4 + 349/(-10))*(-15)/(-54)?
1164
Let q be (-1)/(4 - (-7)/(-2)). What is the lowest common multiple of (10*2 + q)/((-2)/(-1)) and 12?
36
Suppose -2*s + 74 = -4*a, -4*a + 0*s - s = 71. Calculate the common denominator of -4*(366/(-240) + 3) and a.
10
Suppose 0 = -7*j + 20 + 1. Suppose 0*s - s + 18 = 3*z, j*z = 2*s. What is the smallest common multiple of s and 4?
12
Let h(k) = -76*k + 71*k - 4 + 11*k**2 - 4*k**2. What is the least common multiple of h(4) and 22?
88
Suppose -y - 10 = 3*s + 1, -5*s - 25 = 0. Suppose 14 + 13 = 3*z. Suppose -4*b + 0*b = -5*v + 3, 3*b = z. Calculate the lowest common multiple of v and y.
12
Let v be ((-14779)/(-44))/(3/2) + 2. Let g = -673/3 + v. What is the common denominator of 1/10 and g?
110
Let u = 43/4 - 14. What is the common denominator of 83/40 and u?
40
Suppose -4*u - 35*b + 34*b = -320, -2*u + 2*b = -170. Calculate the lowest common multiple of 66 and u.
1782
What is the lowest common multiple of 3 + 9/((6/18)/1) and 90?
90
Let r(m) = -23*m**2 - 2*m + 8. Let y be r(-7). Find the common denominator of 12/(-9) - y/270 and -133/30.
270
Let a = -1096307/42 + 26105. Calculate the common denominator of 167/252 and a.
252
Suppose 0 = -2*k - v + 5*v + 12, 3*v + 13 = 2*k. Suppose 84 = -h + k*h. Let s(t) = -4*t - 2. What is the lowest common multiple of s(-6) and h?
132
Let w = 1/1937 + -91063/46488. Find the common denominator of -65/24 and w.
24
Let m(t) = 10*t**2 - 3*t - 12. Let o be m(9). Let r = 7587/10 - o. Calculate the common denominator of r and 93/22.
110
Let h(a) = -3*a - 8. Let p = -47 - -63. Calculate the lowest common multiple of (-2 - ((-28)/p - 0))*-20 and h(-6).
10
Let p = -704 - -14089/20. Calculate the common denominator of 53/124 and p.
620
What is the common denominator of 1/(-28)*(-2450)/8183 and -97/20?
23380
What is the common denominator of 83/372 and ((-2)/36)/((-60)/6102)?
1860
Suppose 0 = p - 1. Let v be p*9/6*6. Suppose v = -0*u + u. Calculate the lowest common multiple of 1 and u.
9
Let l be ((-80)/(-12))/(2/3). Suppose l*a = 5*a. Suppose -3*u + a*u = 2*p - 34, u - p - 18 = 0. Calculate the lowest common multiple of u and 2.
14
Let w = 33 - 19. Suppose 3*r - 4 - w = 0. What is the smallest common multiple of r and 11?
66
Suppose -3*h = -h - 12. Suppose 0 = -h*m + 9*m - 276. Suppose 2*j - m = -5*a - 0*j, -2*j = 4*a - 72. What is the lowest common multiple o