 - (0 + (5 - 1)).
12
Let t = 392653 - 35339137/90. Let o = -67/15 - t. Calculate the common denominator of o and 113/6.
18
Let r be (21/32502*-2)/(-1). Let t = r + -590607/119174. What is the common denominator of t and -33/4?
44
Suppose 4*q = -0*q + 36. Let n = 4 - 7. What is the smallest common multiple of q and 18*(0 - n/6)?
9
Let j = -2237/140 + -19/70. Let c be (586/110)/(8/(-10)). Let h = -32/11 - c. Calculate the common denominator of h and j.
4
Let z = 42 - 238/5. What is the common denominator of -74/9 and z?
45
Suppose 5*a - 2*x = -6*x + 21, -5*a - 3*x + 22 = 0. Let d(w) = 10*w + 6. Let c be d(a). Find the common denominator of (-478)/c + 1/4 and -119/10.
70
Let j = -24/35 - 2297/70. Calculate the common denominator of -55/6 and j.
6
Let l be (-4)/6*(-15)/2. Suppose -4 = 3*r - l*r. Let f = r - -8. What is the smallest common multiple of f and 2?
10
Let t be -5 - (-2 - -3 - 4). Let j be 2/(-7) + 23/7. Let f = j + t. Calculate the smallest common multiple of 3 and f.
3
Let b be (-15)/(-10) + 1/(-2). What is the least common multiple of (4/3)/(b/3) and 5?
20
Let o be -4*((-10)/(-4) + 0). Calculate the lowest common multiple of 3 and 25*(-2 + (-24)/o).
30
Let v = -1404 - -2751/2. Let i be 38486/4 - (-3)/2. Let m = -134777/14 + i. Find the common denominator of m and v.
14
Let c = 18 + 2. Suppose -w + 5 = 3. What is the least common multiple of (w - 12)/(1/(-2)) and c?
20
Suppose 5 = 2*q - j - 8, 5 = 5*j. What is the common denominator of -2 + 0 - (-17)/q and 109/6?
42
Let k = -10806 + 15468. Let y = -27887/6 + k. What is the common denominator of -7/11 and y?
66
Let n = 368253/152878 - -2/6949. Find the common denominator of -89/4 and n.
44
Let b be (2/4)/((-5060)/(-15)). Let a = -93089/10120 - b. Calculate the common denominator of 71/3 and a.
15
Let j = 29/146 - 6641/1460. Find the common denominator of j and 1/44.
220
Let q = 24 - 14. Calculate the lowest common multiple of q and 4.
20
Let o(t) = -t**3 - 9*t**2 - 9*t - 10. Let q be o(-8). Calculate the common denominator of -87/4 and 19/(-16) - (3 + q).
16
Let q(n) = 181*n**2 + 4*n + 6. Let b be q(-4). Let w = b + -31712/11. Calculate the common denominator of w and (-10)/((5 - 1 - 2)/2).
11
Let k = 17 + -2. Calculate the smallest common multiple of 258/90 - (-2)/k and 4.
12
Let y be (-228)/8*(-3 + 1). Let h = y - 41. What is the lowest common multiple of h and 18?
144
Let a(z) = 8*z + 0*z**2 + 0*z**2 + 1 + 5*z**2 - z**3 - 5. What is the lowest common multiple of a(6) and 20?
40
Calculate the common denominator of (-8)/8 + (-202)/28 + 0 and -37/22.
154
Let a be (6/8)/(1/4). Let b be -10255 - (a - 2)/(-1). Let i = 123179/12 + b. What is the common denominator of 85/14 and i?
84
Suppose 3 = 5*b - 7. What is the least common multiple of 9 and b?
18
Let q = 4 - 2. Suppose 0*u - q*p + 4 = -u, -3*u + 4*p = 8. Suppose 2*r + 3*h - 23 = -u*r, 4*r - 1 = 3*h. What is the smallest common multiple of r and 8?
8
Suppose u = x + x - 12, -4*x + u = -22. What is the least common multiple of ((-1)/1 - -2)/1 and x?
5
Let l = -102 + 218. Calculate the common denominator of (1/4)/((-14)/l) and 2/(-80)*-62 - 1.
140
Suppose -3*o + 4*i + 204 = 0, -326 = 4*o - 9*o + 2*i. Calculate the lowest common multiple of 14 and o.
448
Let a(i) = -10*i**3 + 3*i**2 + 2*i + 1. Calculate the smallest common multiple of a(-1) and 3.
12
Let o be 1*-6*3/(-6). Suppose -27 = -4*d + o*r - 4*r, 2*d - 26 = 2*r. Calculate the smallest common multiple of 5 and d.
40
Let o = -7495/366 + -4/183. What is the common denominator of o and 302/(-84) - 2/6?
14
Suppose -1 = -2*h + h. Suppose -a + 7 = -h. What is the lowest common multiple of 16 and a?
16
Let p(b) = -b**3 - b**2 + 2*b + 2. Let z be p(-2). Suppose -3*f - 26 = -z*c - 126, -20 = 4*c. What is the smallest common multiple of f and 2?
30
Find the common denominator of -43/2 and (-2489)/(-76) - 2/8.
2
Let i = -1032208/104675 - -9/8374. Let p = -9/25 - i. Find the common denominator of p and -23/10.
10
Suppose n + 2*l - 9 = 5*l, 4*n + 3*l = -9. Calculate the least common multiple of n/5 - 11*-1 and 3.
33
Let x be (-3906)/(-98) + (-2)/(-14). What is the common denominator of 94/(-3)*(-6)/x and 41/22?
110
Let z = 7928 - 79207/10. Find the common denominator of z and 32/5.
10
Suppose -4*z + 59 + 5 = 0. What is the smallest common multiple of 62 and z?
496
Let q(s) = s**3 - 5*s**2. Let l be q(5). What is the smallest common multiple of 2 and 1 + l + (12 - 3)?
10
Suppose 20 = 4*i + 2*a, i = -4*a - 0*a + 5. Let p(x) = x**2 - 4*x - 3. Calculate the lowest common multiple of p(i) and (1/1 - -18) + 1.
20
Let h be -4*(-2)/4 - -3. Suppose 0 = -5*a + h*g + 10, 0 = 4*a + g - 6 - 17. Suppose -a*s + 27 = -2*s. Calculate the lowest common multiple of s and 10.
90
Suppose 3*f - 4*j = 0, 2*j - 2 = 4. What is the least common multiple of (8/(-3))/((-10)/15) and f?
4
Suppose g + 25 - 63 = 0. What is the smallest common multiple of 18 and g?
342
Let o(k) = 97*k**3 - 3*k**2 + k - 1. Let p be o(2). Let z = 3089/4 - p. Find the common denominator of 3/14 and z.
28
Let g be 6/21 + (-12)/42. Calculate the least common multiple of g/((-2)/(-2)) - -3 and 7.
21
Let f be 1/(2/(6/157)). Let g = 513/2198 - f. What is the common denominator of (-3)/(-5)*22/24 and g?
140
Let a = 69 + -31. Let h(i) = -i**2 - 3*i + 2. What is the least common multiple of h(0) and a?
38
Let n(k) = -5*k + 36. Let o(t) = -t**2 - 6*t + 5. What is the smallest common multiple of o(-5) and n(6)?
30
Let t(u) = 4 - 3*u + 4*u + 5. Calculate the least common multiple of (-32)/(-14) - 6/21 and t(-5).
4
Suppose 1 - 49 = -2*f. Let p = 1/1082 - 27061/11902. What is the common denominator of p and f?
11
Let i = 523/15 + -83/3. Find the common denominator of 47/9 and i.
45
Let t = -118 + 70. Let w be (1 - -6)/((-4)/t). Let z = w + -67/2. Find the common denominator of z and -101/8.
8
What is the common denominator of 14/5 and (2 - (-428)/(-40)) + 1?
10
Let z = 3/327253591 - 5754099896163/611964215170. Let w = z + 1/374. Find the common denominator of 20/3 and w.
15
Let d be -9 - (-1 - 1 - 0). Let f(z) = -z**3 - 8*z**2 - 9*z - 9. Let b be f(d). Suppose b*c - 20 = 3*c. Calculate the lowest common multiple of 10 and c.
10
Suppose 5*b = -j + 2 + 8, -j - 3*b = -2. Calculate the common denominator of (0 + (-4)/(-6))*j and 46/7.
21
Suppose -22*d + 160 = -18*d. What is the least common multiple of d and 8?
40
Suppose 0 = -5*a + 27 + 13. Calculate the common denominator of -17/5 and ((-2)/a)/(5/(-16)).
5
Let t = 1/4520 - 105091/4520. Suppose a - 32073 = 4*a - z, 32073 = -3*a + 5*z. Let o = 192371/18 + a. Calculate the common denominator of o and t.
36
Suppose 7*b - 3*b - 100 = 0. Suppose 0*h - 28 = -d - 4*h, -5*d = -3*h - b. Suppose 30 = 5*j - 15. What is the lowest common multiple of d and j?
72
Suppose -10 = -3*m + 8. What is the least common multiple of 22 and m?
66
Let l = 154 - 30. Calculate the least common multiple of l and 12.
372
Let y = -10 - -12. Let i(x) = -x**2 + 5*x - 1. Let z be i(5). What is the lowest common multiple of 1 + z - (y - 13) and 5?
55
Let n = -76173/59 + 1291. Find the common denominator of n and -21.
59
Let h = -3917/42 + 598/7. Find the common denominator of 1/((-24)/268) + 3 and h.
6
Let b = -81205/48112 + 1/3007. Calculate the common denominator of (-6)/(-9)*(-1425)/(-80) and b.
16
Suppose 0 = 3*v - 5*v + 8, 9 = -5*p - 4*v. Let w(y) = y**3 + 5*y**2 - 2*y. Let i(s) = -s**2 + 7*s - 3. What is the least common multiple of i(5) and w(p)?
70
Calculate the common denominator of (-97)/30*(-20)/16 and -5 + 1 + 292/16.
24
Let b(i) = 4*i - 6. Let z(m) = m**2 - m. Let f be z(3). Let y be b(f). Let r = y + -9. Calculate the smallest common multiple of 3 and r.
9
What is the common denominator of -41/3 and (3/(-4))/((-2)/17)?
24
Let l(c) = c**3 + 6*c**2 + 3*c + 1. Let j be l(-2). Let f = -9 + j. Suppose -f*u + 4*u - 6 = 0. Calculate the least common multiple of 1 and u.
3
Calculate the common denominator of -53/18 and (-186)/20 - (1 - 1).
90
Let x = 257 - 554. Find the common denominator of -7/10 and (-1)/18*x/(-18).
60
Calculate the least common multiple of 4 - ((-4 - -4)/1)/2 and 4.
4
Let i(a) = -a**2 + 4*a. Let h be i(3). Suppose 4*m - 5*m + h*f + 32 = 0, -2*f = 8. What is the smallest common multiple of m and 18?
180
Suppose -n + 7 