Let r = 1236 - 3779/3. What is the common denominator of 11 - 4/(-18)*-33 and r?
3
Let m = -49257/31 - -1590. Calculate the common denominator of m and (0 + (-46)/12)*96/(-72).
279
Suppose 332 = -17*m + 587. What is the lowest common multiple of 93 and m?
465
Let u be 5/(-4 + 5 + 0). Suppose 3*t - 36 + 2 = u*p, -5*p - 2 = t. Calculate the smallest common multiple of 18 and t.
72
Let t = 15323/6 - 2543. Calculate the common denominator of t and (-154)/(-48) + 1/(-2).
24
Let z(c) = 5*c**2 - 29*c + 6. Calculate the least common multiple of 20 and z(6).
60
Suppose 4*z = 3*n - 49, -3*n + 8*n + 3*z - 43 = 0. Calculate the lowest common multiple of 573 and n.
6303
Suppose 3*j + 10 = 2*f, 12 = 4*f - 2*j - 0*j. Calculate the common denominator of 27/4 and 61/f*(15 + -16).
4
Suppose -2*v = -4*n + v + 23, -21 = -3*n + 3*v. What is the common denominator of 73/12 and (-107)/(28/(4/n))?
84
Let f = -9790 + 558094/57. Find the common denominator of f and 32/33.
627
Suppose 0 = 4*a + a + 10. Let n(b) = -b**3 + 4*b**2 + 2*b - 2. Calculate the smallest common multiple of 1/(1/(-1)) - -3 and n(a).
18
Suppose -14*u = -9*u - 3*g - 5468, -4*u - 4*g + 4400 = 0. Calculate the smallest common multiple of 2 and u.
1096
Let q(v) = -6*v + 21. Let a be q(2). Suppose -5*w - 3*n = -6*n - 11, -5*w + 2*n = -a. Calculate the lowest common multiple of w and 5.
5
Suppose 3*o + 9 = -3*l, -2*l + 5*o = -5*l - 15. Suppose l*n + 2*n - 68 = 0. Calculate the smallest common multiple of n and 18.
306
Let y(z) = z**3 + 4*z**2 - 4*z + 5. Let w be y(-5). Let s = -194 - -304. Calculate the common denominator of 1 + w + (-1067)/s and -26/3.
30
Let l(t) = -5013*t + 4. Let h be l(1). Let n = h - -30145/6. What is the common denominator of n and 2 - 2 - (-134)/20?
30
Let i = -3/6059 - 321082/90885. Calculate the common denominator of (9/12)/((-18)/(-290)) and i.
60
Let t(f) = 659*f + 3963. Suppose -l = 4*u - 55, 3*l + 30 = u - 0*l. Calculate the smallest common multiple of u and t(-6).
45
Suppose 0 = -5*j - 5*a - 70, 0*j + 3*a + 54 = -4*j. Calculate the least common multiple of (18/(-8))/(3/j) and 32.
288
Suppose z - 9 = -m, 5*m + 2*z - 55 = -16. Let c = -13 + m. What is the smallest common multiple of 64/c*(-9)/6 and 8?
16
Suppose 3*k + 5*g - 3 = 0, -4*k + 4*g - 9 = -45. Let v = -30 - -37. Calculate the least common multiple of (40/(-12))/((-2)/k) and v.
70
Let g(h) = h**3 + 9*h**2 - 10*h - 6. Let p be g(-10). Find the common denominator of (-12)/16*p + 0 and -6/19.
38
Let t = 357 - 346. Let f = 6 + -3. What is the smallest common multiple of f and t?
33
Let j(p) = -p**2 - 6*p - 10. Let d = 27 - 32. Let s be j(d). What is the least common multiple of (s + 2)/(-3) - -1 and 8?
8
Let h = 4/325 - 6199/1950. Let f = -30/133 + -15759/2660. Calculate the common denominator of f and h.
60
What is the lowest common multiple of 57 and (42/36)/(-7) + 95/30?
57
Suppose -8*u - 4*w + 11 = -7*u, 0 = -u + 3*w + 4. What is the lowest common multiple of 16 and (u - 6) + (3 + -6 - -154)?
304
Suppose -146 = -6*s + 4. Calculate the lowest common multiple of 7 and (-12)/5*s/(-10).
42
Find the common denominator of -3 - (1100/(-96) + 4) and 149/6.
24
Let h(m) = -2*m**2 + 5*m + 5. Let x be h(-5). What is the common denominator of ((-6)/(-5))/(32/x) and (-8 - -3)*42/44?
88
Let t = 185 - 180. What is the smallest common multiple of 97 and t?
485
Let q(n) = n**3 - 6*n**2 - 4*n + 8. Let g be q(6). Find the common denominator of (118/g)/((-9)/(-12) - 0) and -65/33.
66
Suppose a - 5*l + 2 = -9*l, -3*a = 4*l - 26. What is the smallest common multiple of (-2 + a/6)/((-6)/(-144)) and 11?
88
Let l(g) = 11*g - 8. Let x(b) = 10*b - 8. Let q(a) = -2*l(a) + 3*x(a). What is the least common multiple of q(4) and 22?
264
Let z = 230127/14 + -16431. Find the common denominator of z and (0 - 4/8)*(-686)/21.
42
Let o = -7614/11 - -690. Find the common denominator of o and (108/(-22) + 5)*(-54)/(-1).
11
Let b be (-1258)/144 + 2 + 3. Let t = b + -19/8. Calculate the common denominator of -3 + 1 + (-26)/22 and t.
99
Suppose 2*w = -x + 2*x + 110, 5*x = -10. Let f = -42 + w. What is the lowest common multiple of f and 8?
24
Let w = -11 + 15. Let j = w - -2. Let k(c) = -c**2 + 8*c - 2. What is the smallest common multiple of 12 and k(j)?
60
Let m = 1268 - 26588/21. Find the common denominator of m and -16/285.
1995
Suppose p = 8*p - 280. Suppose 2*a + s = p, -a - 4*s + 33 + 1 = 0. Calculate the least common multiple of a and 2.
18
Suppose -u - 41 = -3*t, -1 = -t - 5*u + 2. Let o(y) = y**2 + 13*y - 113. Calculate the least common multiple of t and o(6).
13
Suppose 4*n + 334 = 5*d, -8*n + 4*n - 4 = 0. Calculate the lowest common multiple of d and 66.
66
Let n = 19 + -4. Suppose -3*x = -3*q - n, 3*x = 4*q - 3*q + 11. Calculate the smallest common multiple of x and 8.
24
Find the common denominator of -91/18 and (75/160*52)/(1 + 2).
72
Let u = -2/2973 + -90161/29730. Calculate the common denominator of 77/10 and u.
30
Let w(h) = 10*h. Suppose -340*o - 2576 = -354*o. What is the lowest common multiple of w(2) and o?
920
Suppose 200 = 4*g + 56. What is the lowest common multiple of g and 27?
108
Suppose 28 = 447*d - 445*d. Calculate the lowest common multiple of d and 92.
644
What is the common denominator of 29/27 and (25/275)/((-12)/46)?
594
Let f be (-9)/(-3 - 0)*(-1400)/12. Calculate the common denominator of -5/8 and (-335)/f - -1 - (-1)/7.
40
Let n = 16599 - 730407/44. Calculate the common denominator of 5/11 and n.
44
Let u be (-78)/84 + -1 + -1 + -1. Let z = -25/7 - u. Calculate the common denominator of z and -5/16.
112
Suppose -3*s = -3*i - 2*s + 68, 3*s = -6. What is the smallest common multiple of i and 3/(9*5/570)?
418
Calculate the least common multiple of 3800/(-19)*1/(-2) and 30.
300
Let u = 3019/10920 - 146/273. Find the common denominator of 95/8 and u.
120
Let g(d) = 1 - 7*d - 4 - 2*d**2 + 3*d**2 - 8*d. Let w be g(15). Calculate the least common multiple of 12 and (0 + -22)*w/3.
132
Let d(i) = -i**3 - 3*i**2 - 4*i. Suppose -3*o = -15, 4*o = 2*f + 1 + 21. What is the smallest common multiple of d(-3) and (2/(-3))/(f/21)?
84
Let w = -372225054573/69195362216 + 2/49996649. Let p = -3/692 - w. Find the common denominator of 69/22 and p.
88
Let z = -53201/104080 - 7/5204. Calculate the common denominator of -37/56 and z.
560
Let z be (0 + -3)/((-4)/28). Let f = 608 + -2453/4. Calculate the common denominator of f and -14*z/48 - 1.
8
Find the common denominator of -101/2 and 11/((-3770)/(-90)*3).
754
Suppose 4*k - 15 = y, -k = -3*y + 7 + 3. Suppose 0 = -y*h + u + 26, 2*h + u + 4*u - 5 = 0. Let s = -6 - -12. What is the lowest common multiple of h and s?
30
Let g(c) = -28*c + 186. Calculate the least common multiple of g(6) and 24.
72
Let y = 1627 + -22829/14. Find the common denominator of 81/16 and y.
112
What is the common denominator of ((-98)/22)/(2 - 4) and 8/((-2880)/2228) + (-2)/10?
198
Find the common denominator of (-1184)/360 - 5 - -9 and -77/183.
2745
Let r = -351228452/1665 + 210948. Let x = -15937/3330 - r. What is the common denominator of -67/24 and x?
120
Let b = 5/176 - -569/4752. Calculate the common denominator of 4/33 and b.
297
Let l(y) = -y**3 - 5*y**2 - 4*y + 3. Let f = -7 + 3. Suppose -d + 4*q = -17, -q - 51 = -2*d - d. What is the least common multiple of l(f) and d?
51
Suppose -8 = 5*o - 7*o. Suppose 2*g - o*x = -36, -3*g + 0*x = -x + 79. Calculate the common denominator of -8/3 and (-54)/21*g/(-10).
15
Let s = 9 - 7. Suppose 2 = s*f - 6, 0 = 5*o + 4*f - 136. What is the least common multiple of o and 44?
264
Let o(c) = -c**3 + 10*c**2 + c + 10. Let p(l) = 3*l**2 + 2*l + 3*l - 2 - l**2. Let t be p(-4). What is the smallest common multiple of o(t) and 8?
40
What is the common denominator of -20/33 and ((-26)/(-24))/((-45)/(-198))?
330
Let r be (-2033)/((6 - -2)/(-4)). Let o = r + -979. Find the common denominator of o and 109/42.
42
Let g be (1/1)/(14/28). Let j = 26 + -16. Suppose -4*t = -w - w - 32, 0 = -3*t - g*w + j. What is the lowest common multiple of t and 12?
12
Suppose w = 5*t + 23, 0*w = 4*w + t - 8. Suppose b = -w*b + 88. Calculate the lowest common multiple of 28 and b.
308
What is the common denominator of 68/15 and ((-1141)/357 - 1) + 5?
255
Suppose -q = 21 - 7. Suppose -5*c - 5*d = 0, 0 = -