ate the least common multiple of -4 - (-42 + u/(-4)) and 12.
120
Let y(r) = 16*r - 33*r + 4 + 15*r. Let z be y(3). Find the common denominator of -59/8 and z + 1 - (-149)/6.
24
Let o be (9/12)/(-1 - 122/(-120)). Let g = 63 - o. Calculate the least common multiple of 34 and g.
306
Let h = -24 + 25. Calculate the common denominator of ((-148)/12 - h) + -3 and -21/2.
6
Let a(c) = 6*c + 64. Calculate the lowest common multiple of 10 and a(-9).
10
Let n(m) = -2*m - 9. Let a be n(-7). Suppose -a*z - 9 = t, 45 = -0*t + 5*t - 5*z. What is the smallest common multiple of 15 and t?
30
Let u = -77/39 + 30/13. What is the common denominator of 45/16 and u?
48
Let f be (3 + -3 + -1)*-10. Find the common denominator of f/(-25)*(-114)/16 and -61/10.
20
What is the common denominator of (-36)/144 + (-101)/(-156) and -56/57?
1482
Let s(q) = -q**3 + 29*q**2 - 29*q - 7. Let c be s(28). Let z = 59 + c. Calculate the least common multiple of 28 and z.
168
Let k(f) = 2*f - 1. Let n be k(2). Let y = 5 - n. What is the smallest common multiple of y/4*2 - -2 and 2?
6
Suppose -21 = -n - 9. Suppose 2*u = -2*u + 4. What is the least common multiple of u and n?
12
Let d(p) = -p**2 - 32*p - 53. Suppose 2*j = -c + 12, 2*c - j - 16 = -2. Calculate the smallest common multiple of d(-29) and c.
136
Let b = -16 - -25. Suppose 8*m - b*m = -6. What is the lowest common multiple of 21 and m?
42
Let t be (-12 + 2)*(-354)/4. Let c = -1705/2 + t. Let w = -9/38 - -602/95. Find the common denominator of c and w.
10
Let f = -3/3994 - -92868/9985. Suppose -9*k - 12 = -12*k. What is the common denominator of k - ((-297)/(-2))/9 and f?
10
Let a = -154 - -173. What is the smallest common multiple of 4 and a?
76
Suppose 4*s = -h - 20 + 4, -h + s = -9. What is the smallest common multiple of 8 and h?
8
Let y be 581994/245 + -1 + 0. Let t = -477877/315 - y. Let u = t - -3884. What is the common denominator of -65/4 and u?
36
Suppose 0 = 2*r - 5*j - 22, -55 = 2*r - 7*r - 4*j. What is the least common multiple of r and 7?
77
Suppose -13 + 21 = 4*w. Suppose 20 = p + 3*h - 29, -5*p + 206 = w*h. Find the common denominator of p and -26/35.
35
Suppose k = -2*u + 25, 4*k + 4*u - 55 - 25 = 0. Calculate the least common multiple of 25 and k.
75
Let x(s) = -6 + 5*s**2 - 13*s**3 - s + 14*s**3 - 6*s. Let a be x(-6). What is the common denominator of 4 + 117/24 + a and 63/4?
8
Suppose 4*f = -4*p + 56, 5*p + 6 = 4*f - 14. What is the common denominator of 22/5 and (-66)/f + -9 + 7?
5
Let c(g) = -g**3 - 12*g**2 - 13*g - 14. Let y be (-8490)/14 - (-6)/14. Let w be y/54 - 4/(-18). Calculate the lowest common multiple of c(w) and 10.
40
What is the common denominator of ((-49)/30)/(-3 + 14/10) and -1/60?
240
Suppose -2*s + 4 = -2. Suppose 7 = s*l + 1. What is the common denominator of -17/8 and (l/6)/((-3)/33)?
24
Let m be (175*(0 - 2))/(-2). Suppose -o + 6*o + m = 0. Let x = -25 - o. What is the least common multiple of 9 and x?
90
Let f(p) = -p**3 + 10*p**2 - 8*p - 10. Let i be f(9). Let o = i - -6. Let j = 10 - o. Calculate the lowest common multiple of 9 and j.
45
Suppose 17 = 5*b - 4*p, -5*b + 2*p = -3 - 18. Suppose 3*v = -2*i + 35, b*v = 2*v - i + 37. What is the least common multiple of 9 and v?
117
Suppose 128 = 50*f - 46*f. What is the smallest common multiple of 56 and f?
224
Let j(u) = -u**3 + u**2 - 3*u + 1. Let z be j(-4). Suppose 5*i - 2*x + 5*x = z, 4*i = -2*x + 74. Calculate the smallest common multiple of i and 76.
684
Let r = -1383 - -1635. What is the smallest common multiple of r and 8?
504
Let s = -4452665 - -1126526034/253. Let d be -52 + 48 + 319/46. Let f = d - s. What is the common denominator of f and 79/6?
66
Suppose 4*m + 54312 = m. Let v = m - -1158711/64. Find the common denominator of -15/8 and v.
64
Let v(a) = a**3 + 7*a**2 - 10*a - 20. Let u be v(-8). What is the smallest common multiple of 50 and 150/(-45)*18/u?
150
Let t = -115 + 136. Suppose 0 = 3*k + t - 33. Calculate the lowest common multiple of k and 20.
20
Let v = 5414 - 119137/22. Suppose -5*q - 150 = 945. Find the common denominator of v and (3 - 1)/((-84)/q).
154
Suppose 2*i = 7*i + 10. Let s = -13669/2690 - 5/269. What is the common denominator of i/4*-4 - (-5)/(-5) and s?
10
Let g be (9/(-12))/(1298/(-11676)). Let u = -626/59 + g. Find the common denominator of (21/112)/(12/(-20)) and u.
176
Let v = -132 + 136. Suppose -200 = -14*o + v*o. What is the lowest common multiple of 16 and o?
80
Let c(u) = u**2 + u + 2. What is the smallest common multiple of (10/8)/(-7 + (-339)/(-48)) and c(-7)?
220
Let o(h) be the third derivative of h**4/24 + 9*h**3/2 - 3*h**2. Let k be o(0). Let t = k + -11. What is the smallest common multiple of t and 14?
112
Let y = -11741/9519 + 80/167. What is the common denominator of 15/20*200/(-27) and y?
171
Let n = -716 + 2843/4. Find the common denominator of 17/4 and n.
4
Let s(y) = 2*y**2 + 3*y + 3. Let i = -6 - -3. Let o(m) = m + 13. Calculate the smallest common multiple of o(3) and s(i).
48
What is the common denominator of -69/14 and (89/2)/(-7*(2 + -3))?
14
Let h = 2631967/360 + -36546/5. Calculate the common denominator of 137/18 and h.
72
Suppose 87*h - 13*h - 56240 = 0. What is the lowest common multiple of 28 and h?
5320
Let m(q) = 2*q - 11. Let z be m(8). Suppose 0 = -2*l - 3*r + 2*r + 5, -2*l = -z*r + 13. What is the common denominator of (-1)/(56/(-4)) + l and -81/32?
224
Suppose 5*m - 21 = -3*z + 26, -3*m + 25 = 5*z. Suppose -18*d + 19*d = 18. What is the lowest common multiple of (2*4)/(9/d) and m?
80
Suppose -584 = -5*r - 5*x - 59, 0 = -2*r + x + 216. Let a = -69 + r. What is the smallest common multiple of a and 16?
304
Find the common denominator of -119/24 and 2*(-3)/(-450)*71.
600
Let s = 122 - 128. Find the common denominator of -16/5 and (-81)/144*s/1.
40
Let z = 2378 - 52337/22. Find the common denominator of z and (-2705)/700 - (-32)/(-112).
220
Calculate the smallest common multiple of 0 + 5 - 11/((-44)/60) and 18.
180
Suppose 0 = -3*h + 4*h - 4. What is the common denominator of 730/72*h/10 and 151/6?
18
Suppose -p + 6 + 8 = 0. Let g = p - 13/2. What is the common denominator of 3/2 and g?
2
Suppose 2*l - 9 = -7. Suppose -3*s + 156 = -4*c, 2*c - 79 - 25 = -2*s. What is the smallest common multiple of s and (-1 - (l + -2)) + 22?
572
Let w(u) = 6*u - 1. Let a be w(6). Let y = -27 + a. What is the least common multiple of 36 and y?
72
Let d(n) = n**2 + 14*n - 31. Let a be d(-15). What is the least common multiple of 2 and 0 + 2 - -4*4/a?
2
Let h(q) = 46*q + 4. Let i be h(-3). What is the common denominator of (7/14)/((-20)/i) and -65/16?
80
Let y = 39603/2 + -20809. Let b = 8129/8 + y. Let f = -52/3 - -21/2. Find the common denominator of f and b.
24
Let i(s) = s**3 - 4. Let n be i(0). What is the common denominator of 148/(-18) - n/24 and -101/18?
18
Let w(j) = j + 2. Let m be w(-6). Let r = -2 - m. Suppose -79 = -5*z - 0*u - u, r*z - u - 33 = 0. Calculate the least common multiple of 4 and z.
16
Let x = -1 - -10. Let q(d) = d**2 - 7*d - 10. Calculate the smallest common multiple of q(-3) and 2/3 + 156/x.
180
Suppose 0 = 2*h + 3*h - 45. Suppose h*u - 10*u + 20 = 0. What is the smallest common multiple of 10 and u?
20
Let r = -34627/1372 - 4/343. Suppose 2*w + 4*z = 234, -w + 4*z + 75 + 36 = 0. Find the common denominator of w/(-4)*10/35 and r.
28
Calculate the common denominator of -23/80 and (-9)/36*316/(-40).
80
Let b = 296 + -268. Calculate the smallest common multiple of b and 49.
196
Suppose 2*g = 4*p - 0*p + 16, -3*g = 2*p - 40. Suppose -j = -5*j + 28. Let c = 11 - j. What is the lowest common multiple of c and g?
12
Find the common denominator of -11/9 and ((-3)/2 - 0) + 2050/2200.
396
Let g = -13 + 11. Calculate the smallest common multiple of 36 + 2 + (g - 0) and 14.
252
Suppose -12 = 3*p - 6*p. Suppose p*o + 6 = 18. Suppose -5 = -o*l + 7. What is the least common multiple of l and 10?
20
Let x = 41820 - 1254487/30. Find the common denominator of x and 49/102.
510
Suppose -6*f + 4*f - 42 = 0. Let i = -18 - f. Suppose -2*t = i*b - 53, 4*b - 56 = -3*t + t. What is the lowest common multiple of 6 and t?
66
Let c = -48 - -52. Suppose -3*g = m - 22, 2*m + 0*g = -c*g + 44. Suppose 14 = d - 72. Calculate the lowest common multiple of m and d.
946
Let r(p) = -5