*w - x = 3*x + 24. What is the smallest common multiple of (w - -20) + 1*2 and 18?
180
Let f(o) = -o**2 - 9*o + 5. Let r be -24 - 1 - (-4 - -7). Calculate the lowest common multiple of (-288)/r + 6/(-21) and f(-9).
10
Let d = -8 - -15. Let r = 1 - 1. Suppose r*i + i - 3 = 0. Calculate the least common multiple of d and i.
21
Suppose 0 = 4*z - 17 - 23. Let t(a) = a**2 + 5*a + 6. What is the least common multiple of z and t(-6)?
60
Suppose -3*u + 16 = -2*o - 6, -2*u + 33 = -5*o. Calculate the least common multiple of 75/(-6)*(-12)/15 and u.
20
Suppose 3*q - 18 = 4*d, 5*q - 2*d + 6*d = 62. What is the smallest common multiple of 8 and q?
40
Let o = 9 - 4. Suppose 6*i - 2*i + 98 = d, o*d - 90 = 4*i. What is the smallest common multiple of 8 and ((-6)/15)/(1/i)?
40
Let y = 16638/5 - 3340. Let s = -10/183 - -6425/366. Calculate the common denominator of y and s.
10
Let z = -75 - -80. Calculate the smallest common multiple of 9 and z.
45
Let q = 69637/12 - 5813. What is the common denominator of q and 89/12?
12
Calculate the common denominator of (-2068)/(-280) + (-4)/(-10) and -1 + (5 - (-363)/(-60)).
140
Let d = 5817/4 + -1443. What is the common denominator of 25/2 and d?
4
Let d = 57149/9 - 6342. Calculate the common denominator of d and 10.
9
Let o = -35 - -46. Let q = 68 + -123. Calculate the smallest common multiple of o and (-210)/q + 4/22.
44
Suppose -n + 40 = -5*g, 0 = -2*g + n - 11 - 8. Let d(s) = s**2 + s - 8. Find the common denominator of d(g) and -55/6.
6
Calculate the lowest common multiple of 32 and 20*(5/(50/8))/1.
32
Suppose -v = -0*v - 7. Suppose 3*q + 3*m = 12, q + 8 = 2*m - 3. Let h(f) = -10*f - 1. Calculate the lowest common multiple of h(q) and v.
63
Let p = -2/8577 - 488845/188694. What is the common denominator of p and (1 - 148/160)*(-712)/(-12)?
220
Let a = 1828201/748 + 60617/68. Let x = 3338 - a. Calculate the common denominator of x and -37/9.
99
Let b = 2/723 - -18071/1446. Calculate the common denominator of b and 3/64.
64
Suppose s - 9 = -4*q + q, 2*q = -4*s + 16. Calculate the smallest common multiple of 2 and 136/36 - q/(-9).
4
Let m = 18 - 12. Suppose -2*a = a - m. Calculate the least common multiple of a and 12.
12
Let n(z) = z**2 - 2*z + 1. Let p be n(3). Suppose s - p = -2. What is the smallest common multiple of s/(-4) + 17/2 and 8?
8
Let w be (-42)/(-8) - 1/4. Suppose 2*n = -3*n + w. What is the lowest common multiple of n and 9?
9
Let r(f) = -f**2 + 13*f - 10. Let q be r(12). Calculate the lowest common multiple of q - (2 + -8*1) and 9.
72
Calculate the common denominator of 13/3 and 6/(-3)*((-252)/75 + 4).
75
Let j = 10 + -9. Find the common denominator of j/16*316/5 and -89/16.
80
Let q = 6557/40 + -834/5. Find the common denominator of 4/14 - (-622)/28 and q.
8
Let l(d) = -d**3 + 7*d**2 + 3*d - 7. Calculate the least common multiple of l(7) and (1 + -9)*1/(-2).
28
Let c(g) = -g**2 + 4*g - 3. Let x be c(4). Calculate the common denominator of -74/9 and (-68)/22*x/(-2).
99
Calculate the common denominator of 1/18 and (12/(-8))/((-24)/(-188)).
36
Let d = 148787/5 + -29856. Let t = 2407/20 + d. Calculate the common denominator of t and 79/22.
44
Calculate the common denominator of ((-14)/(-7))/2*37/(-2) and -35.
2
Suppose 0 = -7*a + 5*a + 2. What is the lowest common multiple of a and 10?
10
Calculate the common denominator of (-12)/(-3)*(-9)/312 and -73/12.
156
Let k = -8 - -13. What is the smallest common multiple of k and 10 + 4/(20/(-5))?
45
Suppose 2*w - i - 31 = -4, 4*w - 49 = 3*i. What is the least common multiple of 18 and w?
144
Suppose -x = q + 7, 0 = 2*x + 3*x - 3*q + 43. Calculate the lowest common multiple of (-2)/x + (-15)/(-4) and 8.
8
Suppose 5 = j - 6. Let i be (-1)/(-3) + 5/3. Suppose -5*w + 42 = 2*p, -i*p - 2*p + 64 = 5*w. Calculate the least common multiple of p and j.
11
Let w = -2760 + 27563/10. Suppose 4*d + 0*d = 128. Let s = d - 319/10. Find the common denominator of w and s.
10
Let n = -12969/8 + 1627. Find the common denominator of n and (2/(-12))/((-8)/(-270)).
8
Let o be -2 + 5 + 387/2. Let r = 207 - o. What is the common denominator of r and (-2)/7*(-243)/(-12)?
14
Let d = -7 + 11. Let u(z) = 2*z - 6. Let b be u(d). Suppose 18 = 2*y - b*k, 3*k + 11 = -3*y + 2*y. What is the smallest common multiple of y and 8?
8
What is the common denominator of 52/11 and 69/(30/8 - (-9)/12)?
33
Suppose -86*o + 40 = -84*o. Calculate the smallest common multiple of o and 14.
140
Let k = 25/479 - -39207/10538. Let h = -4862715 - -58279487/12. Let j = -6084 - h. Calculate the common denominator of k and j.
132
Let k(b) = b + 3 + b**2 + 0*b + 7*b. Calculate the least common multiple of 3 and k(-8).
3
Calculate the lowest common multiple of 1 + (106/10 - 18/30) and 2.
22
Calculate the common denominator of 7/134 and (93/14 - -1) + 0/10.
938
Let p = -1397/36 - -281/9. Find the common denominator of p and 285/(-108) - 2/(-1).
36
Calculate the common denominator of 77/18 and (20/32)/(-1 - (-2)/8).
18
Let a(w) = -w**3 - 12*w**2 + 12*w - 5. Let x be a(-13). Suppose -5*i + 3*i = -x. What is the lowest common multiple of 8 and i?
8
Suppose -4*z - 3*j + 0 = -7, 3 = 5*z - 2*j. Find the common denominator of 531/105 - (-1)/7 and 0 + z + 15/4.
20
Suppose 3*i = s - 10, 2*s + i + 50 = 7*s. Suppose -v - 5*f = -2*f + 2, -3*v - 5*f + 2 = 0. Calculate the least common multiple of s and v.
20
Let u be -1 - (-5)/((-10)/(-6)). Calculate the common denominator of (-170)/(-16) - (u - 0) and 25/22.
88
Let n = -40 - -73. Calculate the smallest common multiple of 21 and n.
231
Let f be ((-4)/(-14))/((-7)/(-49)). Suppose -2*x + n = -8 - 9, 0 = f*x - 3*n - 15. Find the common denominator of 19/4 and (-226)/x*12/(-16).
12
Let h(d) = -d**3 + 9*d**2 + 10*d + 6. What is the lowest common multiple of (-26)/(-3) - 20/30 and h(10)?
24
Let p = -13 + 25. What is the lowest common multiple of 2 and p?
12
Let w = -7 + 11. Suppose -4 = -a + w. Let l = 1 - -3. Calculate the least common multiple of a and l.
8
Let d = -52039/2838 - -3/946. Find the common denominator of 0 + 0 + 7/6*-4 and d.
3
Let h(b) = -b**3 + b**2 + 3. Suppose 4*f - f = 0. Let c be h(f). Calculate the common denominator of 103/20 and (1274/20)/7 - c.
20
Let b = -33 + 53. Let h(y) = -y + 9. What is the lowest common multiple of b and h(-9)?
180
Let z(i) = -89*i - 1. Let j be z(-1). Suppose 1 + 17 = 6*n. Suppose m = -n*m + j. Calculate the smallest common multiple of m and 6.
66
Suppose 0*o + u = -o + 17, 5*u - 5 = 0. Calculate the smallest common multiple of o and 6.
48
Suppose -61 - 39 = -2*s. Suppose -2*g + 6*g + 8 = 0. What is the common denominator of ((-2)/s)/(g/95) and 61/4?
20
Suppose -l - q = -2*q - 11, l - 13 = 3*q. Suppose 196 = 7*m + 63. Suppose 5*s - h = m, s + 4*h - 2 = 6*h. Calculate the lowest common multiple of l and s.
20
Let k be ((-2)/208)/((-1)/(-3)). Let h = 2199/520 + k. What is the common denominator of h and 2 + -1 + (-65)/2?
10
Let u(x) = -7 - x**2 - 1 - 7*x + 6. Calculate the lowest common multiple of 12 and u(-3).
60
Let q = -3715 + 14933/4. Find the common denominator of q and -73/20.
20
Suppose -8 = p - 5*p. Let u = p + 6. Suppose -6*l + 2*l = -4. What is the smallest common multiple of u and l?
8
Suppose n - 3*a + 22 = 3*n, 4*n = -a + 34. Suppose -98 + 14 = -3*u + 3*j, 4*u - 5*j = 110. What is the least common multiple of n and ((-2)/(-3))/(2/u)?
40
Suppose 9 = 4*h + 33. Let f = h + 8. Let n = 14 + 6. What is the least common multiple of n and f?
20
Let c(i) = i**2 + 5*i + 2. Let z be c(-5). Let y be z/(-7) + (-2)/(-7). Suppose 3*s - 5 = g + 25, -4*g = y. Calculate the least common multiple of 10 and s.
10
Let f be -3 + (5/(-1))/(-1). Suppose -z + 5*c - f = 0, -2*z - 3*z + 3*c + 34 = 0. Suppose -3*a + 14 + 28 = 0. Calculate the least common multiple of a and z.
56
Let q = 24/307 + -30163/4912. What is the common denominator of 47/4 and q?
16
Let x(k) = k**3 - 4*k**2 + 2*k + 4. Let a be x(5). What is the common denominator of -19/6 and (a/(-90))/((-2)/3)?
60
Suppose -b = 2*q - 276, -3*b - 414 = -3*q + b. Let u be 3/(-15) - q/10. Let d = 24 + u. Calculate the least common multiple of 3 and d.
30
Suppose -21 + 53 = 4*p. What is the smallest common multiple of p and 8?
8
What is the smallest common multiple of ((-6)/(-15))/((-1)/(-5)) and 1?
