
Let k(r) = r**2 + 22*r + 192. What is the smallest common multiple of k(0) and 88?
2112
Let z = 60 + -42. Calculate the common denominator of ((-390)/z)/((-4)/(-3)) and 18210/5040 - 8/14.
24
Let f be 4/(-6) - 138/9. Find the common denominator of ((-278)/30)/(f/(-20)) and -83/42.
84
Let x(o) = 2*o**2 + 7*o - 21. Let i be x(-7). Suppose 4*y - 4*a = -y + 64, i = 2*y - 4*a. Calculate the smallest common multiple of y and 10.
60
What is the lowest common multiple of 99 and 322/(-1127) - ((-212)/7 - 0)?
990
Let x = -9343919 - -93328853/10. Let k = 11045 + x. Find the common denominator of k and 21/11.
110
Let d(v) = v**3 + v + 3. Let f be d(0). Suppose f*r + 2*z = 4*r - 10, 2*z = -5*r + 62. Calculate the lowest common multiple of 12 and r.
12
Suppose -5*v = 2*t + 14, 3*t + 29*v + 21 = 33*v. Let l(a) = a**2 + 0*a**2 + 1 + 3*a + a. Calculate the least common multiple of 18 and l(t).
198
Let d = -8372 + 83799/10. What is the common denominator of d and (-10 - -6) + (201/6 - -1)?
10
Suppose 5*s = 2*q + 2*q - 379, -3*q + 67 = -s. Let c = s + 90. What is the least common multiple of c and 6?
66
Let v = 0 - -10. Let d(q) = q**2 - 15*q + 58. What is the smallest common multiple of v and d(7)?
10
Let m(c) = c - 16. Let x(o) = -1. Let h(y) = -4*m(y) + 44*x(y). Calculate the smallest common multiple of 4 and h(4).
4
Let h be 5/18340*103407677/8. Let d = h - 112761/32. Let m = d - -2/131. What is the common denominator of m and 71/18?
126
Let z = 347/77 - -7/11. Suppose -462 = 18*l + 132. Find the common denominator of z and l.
7
Let w = -7088 + 106282/15. Let t = -4295 - -77209/18. What is the common denominator of t and w?
90
Suppose -5*b - 3*c = 216, -2*b + 2*c - 1 = 79. Calculate the lowest common multiple of ((48/(-14))/(-2))/((-3)/b) and 3.
24
Let v(d) = d**2 - 23*d - 186. Calculate the lowest common multiple of 8 and v(-9).
408
Suppose -3*u + 15 = -3. Suppose -u = -p + 4*p. Calculate the lowest common multiple of 6 and 12 + -1*(3 + p).
66
Let j(m) = -2*m - 3 + 3*m - 4 + 5. Calculate the lowest common multiple of 10 and j(6).
20
Find the common denominator of (1/(-2))/((-210)/(-749)) and -44/3.
60
Let r = -11079 - -520676/47. Find the common denominator of 14/47 and r.
47
Let d be (4 + -5 - -1)*1. Suppose -3*y + 182 = -2*j - 3*j, 3*j + 12 = d. What is the lowest common multiple of y and 18?
54
Let h = -1148 - -1202. Calculate the smallest common multiple of 54 and h.
54
Let d(q) = -3*q + 5*q + 7 - 4 + q. Let c = 14 - 5. What is the common denominator of d(c) and -23/11?
11
Let c = 1368 - 2649815/1937. Let i = -36787/30992 - c. Calculate the common denominator of 25/16 and i.
16
Suppose -3*h = -z - 142 - 3, 236 = 5*h + 4*z. Calculate the smallest common multiple of 36 and h.
144
Calculate the common denominator of -2 - (-3 + (-5)/(-18)) and (48/10)/(11/10).
198
Let l = 4530 - 2117. Let o = l + -139905/58. What is the common denominator of -115/12 and o?
348
Calculate the smallest common multiple of ((-18)/(-33))/(111/814) and 4.
4
Let c(h) = 2*h**2 + 33*h - 9. Let o = 21 - 11. What is the least common multiple of o and c(-17)?
40
Calculate the common denominator of 161/60 and (-44)/(-660)*(-282)/(-4).
60
Let q = 36 + -24. Suppose 3*f = -2*s - 97, 6 - 35 = f - s. Let b = f + 45. Calculate the least common multiple of q and b.
84
Let g = 0 + 1. Let z = 35 - 5. Suppose q + q + 5*u - 20 = 0, 3*q = 2*u + z. Calculate the smallest common multiple of g and q.
10
Suppose 6*q + 198 = 234. Calculate the smallest common multiple of 2 and q.
6
Let x be (1108/(-6))/((-4)/(-7)). Let k = x - -324. Calculate the common denominator of ((-28)/(-8) - 2)*(-54)/48 and k.
48
Suppose 2*d - 383453 = f, d + 2*d - 5*f = 575176. Let k be (-10)/3244*d/(-150). Let b = k - -8/811. Find the common denominator of -17/12 and b.
60
Suppose 2*g + 1 = -h, -2*h + 3*h = -g - 1. Suppose -5*o - 4*d = -48, 2*o = 2*d + 30 - g. Calculate the least common multiple of o and 8.
24
Let d = 40 - 36. Suppose 3 = 3*m, -4*j = d*m + m - 309. What is the smallest common multiple of 12 and j?
228
Calculate the common denominator of (-2 + (-2)/16)/(-2) and (69/966)/(4/14) + 3.
16
Let r = -4075 - -85535/21. Let j = 319/564 - 7/47. Calculate the common denominator of j and r.
84
Let n = -5849/5 + 508978/435. What is the common denominator of -19/24 and n?
696
Let p be (-17996831944926)/(-1371673160) + 0 + 0. Let n = p - 3/34291829. Let z = -13123 + n. Calculate the common denominator of -45/4 and z.
20
Suppose -13*y = -162 - 124. What is the least common multiple of y and 18?
198
Suppose -3*v - 3*c - 159 = 0, -3*c - 267 = 5*v - 0*v. Let s = -36 - v. Suppose 4*n - 15 - 41 = 0. What is the lowest common multiple of s and n?
126
Suppose -m - 3 = 0, -777 = -5*q - 2*m + m. Suppose q - 116 = 4*y. Suppose 3*d = 3*w + 5 - 23, -3*d = 0. What is the lowest common multiple of y and w?
30
Suppose 5*w + 53 = 2*b, -5*b + 2*w + 26 = -4*b. What is the lowest common multiple of b and 282?
1128
Find the common denominator of (-2)/((-40)/(-43)) + 1 and 3*((-132)/(-216) + -3).
60
What is the lowest common multiple of (-2)/23 - 4260/(-1380) and 27?
27
Suppose 31740 = 11*l + 58*l. Calculate the smallest common multiple of l and 8.
920
Let f = -1596 + 1866. What is the lowest common multiple of f and 270?
270
Let i(p) = 2*p**3 - 10*p**2 - 2*p + 64. Calculate the least common multiple of i(0) and 10.
320
Find the common denominator of (2/(-2 - -4))/((-55)/(-187)) and 40.
5
Let p(i) = -i**2 + 0*i**2 + 3*i**2 - i - 7*i**3 + 0*i**2 - 2. Let l be p(-1). Suppose -3*j - j + l = 0. Calculate the smallest common multiple of 7 and j.
14
Let z = -43 - -59. Suppose 5*u + 3*o - 42 = 0, 5*u + 5*o = z + 34. What is the smallest common multiple of 10 and u?
30
Calculate the common denominator of 8*(-17611)/(-11616) + -12 and 5/48.
528
Let v be ((-6)/10)/((-3)/195). Let u = -23 + v. What is the lowest common multiple of 14 and u?
112
Let s = 583 - 543. Calculate the smallest common multiple of 24 and s.
120
Let l be 215/(-10) + 1/2. Find the common denominator of 17/13 and ((-366)/40)/(l/14).
130
Calculate the common denominator of (-3*(-4)/(-72))/(24/(-183)) and 61/60.
240
Let c(h) = 16*h**3 - 2*h**2 - 2*h + 3. Let r be c(2). Let g = r + -75. Let l = g - 30. Calculate the lowest common multiple of 20 and l.
140
Suppose -2*c = -5*d + 8, 4*d + 0 = 3*c - 2. Let n = -24 + 44. What is the least common multiple of n and c?
60
Calculate the common denominator of 178/6*(-11)/(-66) + -1 and (-22)/(-24) - (-3)/6.
36
Suppose 2*i = -4*s + 2, s + 17 - 13 = 0. What is the least common multiple of 9 and i?
9
Let j be 126/(-4)*(-59)/4. Let p = -49/292 - -401647/876. Let z = p - j. Calculate the common denominator of 51/4 and z.
24
Let h(w) = -w + 6. Let l = 24 - 22. Let g be h(l). Calculate the common denominator of -57/8 and -3*(-362)/72 - g.
24
Let l be ((-2)/18)/(564/5166). Let z = l + -7/47. Let f = 1/21 - 109/21. Find the common denominator of z and f.
42
Suppose 0*n = 4*n. Let d be (5/(-10))/(-2 - (-510)/256). Suppose 19*o - 15*o - d = n. What is the least common multiple of o and 16?
16
Let n(t) = -t**3 - 8*t**2 + 16*t + 10. Calculate the smallest common multiple of n(-10) and 5.
50
Suppose 4*d = 11*d + 119. Calculate the common denominator of 57/22 and 21/d - (-4)/24.
1122
Let g(m) = 2*m**2 - 13*m + 47. Calculate the least common multiple of g(7) and 18.
54
Let l = -443051/134 + 3306. Calculate the common denominator of l and -37/2.
134
Let f(z) = 145*z + 9. Let l be f(-13). Let k = l + 30065/16. Let b = 1312/7 + -13897/70. Find the common denominator of k and b.
80
Let w be 2/(4*1/(-7)). Let f = 1 - w. Find the common denominator of f and (-10)/(-3)*(-66)/8.
2
Let s(v) = v**2 - 3*v - 1. Let p be s(4). Suppose -p*y = 2*y - 15. Let a = 1 + y. What is the least common multiple of a and 9?
36
Suppose 0 = -2*o - 2055 - 847. Let r = -141305/22168 + -2/2771. What is the common denominator of (-2)/(-11) + (-3 - o/66) and r?
24
Let b be ((-15)/10)/(15/1480). Let f = b + 156. What is the lowest common multiple of f and 22?
88
Calculate the common denominator of (-1)/(-8)*(-1598)/51 and -13 - -11 - (-57)/22.
132
Let j = -89/5 + 18. Calculate the common denominator of ((-76)/(-28))/((-1)/2) and j.
35
Suppose -2*s - 294 = -2*n, -22 + 18 = -4*n. Find the common de