4
Let n(k) = -k + 4. Let u be n(8). Let g(b) = -b**2 - 7*b - 4. What is the least common multiple of g(u) and 5?
40
Suppose 5*o - m = 3*m + 104, -m - 68 = -3*o. What is the least common multiple of o and 6?
24
Let n = 1 + 10. Let q = 1 + -3. What is the smallest common multiple of (-58)/(-6) - q/6 and n?
110
Suppose 10 = 3*u + 34. Calculate the lowest common multiple of 20 and u/(-16) + 262/4.
660
Find the common denominator of -2 + 4 - (-64)/(-7) and (0 - (-11)/15) + 20/(-60).
35
Suppose -u - 3*z - 23 = 0, -4*u - 4*z - 21 = 39. Let y = 18 + u. What is the lowest common multiple of y and 9?
63
Let s = -73/8 - -131/8. Calculate the common denominator of s and -8/11.
44
Suppose 8 + 24 = 4*k. What is the smallest common multiple of k and 10?
40
Suppose 6 = -2*i + 5*i + 3*a, -5*a - 2 = -i. Find the common denominator of i + 5/((-330)/(-81)) and -67/4.
44
Let i = 0 - -3. Suppose -4*v = d - 9, -i*v = d - 7 - 0. What is the least common multiple of 22 and (3 + -1)/(v + -1)?
22
Let f be 9/63 + (-474)/(-14). Suppose f = 3*d - 14. What is the lowest common multiple of d and 14?
112
Suppose 4*a + 2*n = -80, 4*a + 122 = -a + 3*n. Calculate the common denominator of -41/8 and 11*a/20 + 1.
40
Let d be ((-1 - 1) + -17)/(-1). Let z = d + -15. What is the smallest common multiple of 8 and z?
8
Suppose -3*f + 46 = 16. Suppose -10 = 2*s - 30. Let i = s - -4. Calculate the lowest common multiple of i and f.
70
Let o(f) = -f**3 - 6*f**2 - 2*f - 4. Let b be 48/(-8) - 0/2. What is the lowest common multiple of o(b) and 3?
24
Let l be (1 - -5)/(1/1). Calculate the smallest common multiple of (-20 - -2)*(-4)/l and (1 - -2)/(15/10)*1.
12
Let t be 0 + 0 + 12/(-3). Suppose -y + 4*d + 0*d + 10 = 0, -5*d + 33 = 2*y. Calculate the lowest common multiple of y and 50/8 - (-1)/t.
42
Suppose -h - 180 = 2*h. Let o be (-46)/(7/((-231)/h)). Let k = o + -76/5. Find the common denominator of k and 45/8.
8
Let b(d) = -2*d - 15. Let z be b(-10). Suppose 18 = 2*f - z*q - 27, 0 = -4*f + q + 81. What is the smallest common multiple of 8 and f?
40
Suppose 162 = -6*g - 126. What is the common denominator of 6/g*(15 + 0) and -121/10?
40
Let c(y) be the second derivative of y**4/12 - 5*y**2/2 - 5*y. What is the smallest common multiple of 7 and c(4)?
77
Suppose 3*t = 26 + 34. What is the common denominator of 119/12 and ((-2)/27)/(t/15)?
36
Suppose 0*y - 752 = -5*c - y, -3 = y. Calculate the common denominator of 49/2 and c/12 - (-4)/6.
4
Suppose -3*v - 2*v - 6 = 4*z, 4 = -z. What is the smallest common multiple of 11 and v?
22
Calculate the common denominator of ((-11)/11)/((-2)/(-22)) and 65/9.
9
What is the common denominator of 366/594 + (-2)/9 and -149/30?
330
Let b(r) = -r + 3. Calculate the least common multiple of 22 and b(-11).
154
Suppose -2*w = -2*k - 0*w - 84, -10 = 2*w. Suppose 301 = -3*n + 7645. Let m = n - 22094/9. Calculate the common denominator of m and k.
9
Suppose -3*m + 16 = -m. Let r = -87 + 61. What is the lowest common multiple of m and (-10)/(-35) + r/(-7)?
8
Suppose -74*x + 35 = -69*x. Suppose 0 = -5*u + 56 - 11. Calculate the least common multiple of u and x.
63
Let p(k) = k - 5. Let m be p(4). Let l = 96 + -78. What is the lowest common multiple of 2*-1*m/1 and l?
18
Suppose 0*x = 4*l - 2*x + 34, -5*l - 44 = -3*x. Let r(h) = -3 + 3 + h**2 + 7*h + 2. Calculate the smallest common multiple of r(l) and 9.
18
Let b(r) = -r - 12. Let a be b(-9). Let z = a + 5. Suppose -5*u + 4*n = 38 + 95, z*u = 2*n - 54. What is the common denominator of -5/7 and u?
7
Let s(q) = 4*q + 2. Let v be s(2). Let k = -10903/1440 + -33/160. What is the common denominator of k and (-2)/(-6) - (-225)/v?
18
Let y(t) = -3*t. Let g(m) = -m**3 - m**2 + m - 7. Let k be g(-3). Let s = k + 14. What is the lowest common multiple of s and y(-6)?
198
Let g = -10 - -21. What is the lowest common multiple of g and 17?
187
Calculate the common denominator of 183/(-4) - (-8)/32 and 50/19.
38
Find the common denominator of -48/7 and ((-5)/(-5) + 23/(-76))*2.
266
Suppose 4*z = -d + 20, -z = -2*d - 4*z + 30. Calculate the least common multiple of 16 and d.
48
Find the common denominator of (-3)/(-2)*36/(-10) and (-9)/6 + 0 + 60 + -19.
10
What is the least common multiple of 1 and 4/8*(-36)/(-2)?
9
Let d be ((-22)/(-3))/((-6)/243). Let u = d - -1259. Let w = u + -2927/3. What is the common denominator of 59/4 and w?
12
Calculate the common denominator of (-585)/14 + (-2)/(-7) and (-1480)/(-360) + 3/2.
18
Suppose -9*w = -172 - 125. Calculate the least common multiple of 5 and w.
165
Suppose 0 = s + 4240 + 84. Let c = s - -43351/10. Find the common denominator of (0 + -1)*41/22 and c.
110
Let x = -4397/198 + -675/22. Let z be -3 + 5498/(-90) + 1. Let p = x - z. What is the common denominator of 61/6 and p?
30
Let b = -181777367/375288606 + -1/1624626. Let d = b - -93644/2079. Let v = d - 399/11. What is the common denominator of 16/3 and v?
21
Let y(z) = 5*z - 46. What is the lowest common multiple of 4 and y(10)?
4
Let m(p) = 16*p**3 + 4*p**2 - 2*p. Let c be m(3). Let q = 86/41 - 2845/164. What is the common denominator of q and (-2009)/c + 2/11?
12
Let c(k) = -k + 10. Let d be (0 - (-2 + 3)) + 9. Let x be c(d). Calculate the common denominator of -2 - (-30)/(-9) - x and 61/4.
12
Suppose 2*p + 8 = 4*p. Suppose 2*j + 3*z - p*z - 31 = 0, 0 = -3*j - z + 39. What is the lowest common multiple of 18 and j?
126
Find the common denominator of 3576/4128 + 0 + (-2)/8 and -71/10.
430
Calculate the common denominator of 6/8 - 159/4 and 51/2.
2
Suppose -1 = -5*p + 69. Suppose 2*i + 4*o = -o + 8, 3*i - 2*o = 12. Calculate the smallest common multiple of i and p.
28
Let b = 5 + 10. Suppose -5*n + b = -0. What is the lowest common multiple of 5 and n?
15
Find the common denominator of 13/86 and ((-1)/6)/((-2)/178).
258
Let j = 2/67 + 731/201. Calculate the common denominator of 21 and j.
3
Calculate the common denominator of (-127)/(-57) - (-1)/(-3) and -13/6.
114
Calculate the smallest common multiple of 2 + -2 + 6 + -2 and 3.
12
Find the common denominator of 93/14 and (-3 - 0) + 469/196.
28
Suppose -4 = -n + 3*n. Let h be (-145)/(-5) + n + 1. Suppose -6*i - p = -2*i - h, 0 = -4*i - 5*p + 12. What is the lowest common multiple of i and 4?
8
Suppose -5*w + 46 = 4*f - 1, -f + 14 = 2*w. Suppose 4*d = -0 + 16. Calculate the least common multiple of d and f.
8
Suppose -p - b - 7 + 12 = 0, 0 = 3*p + 4*b - 12. What is the least common multiple of p and 14?
56
Suppose 6*p + 28 = 10*p. Let w(u) = -u**2 + 7*u + 8. Let a be w(6). Let r = a - 7. Calculate the smallest common multiple of p and r.
7
Suppose -2*w - 7 + 31 = 0. Find the common denominator of (w/(-90))/(4/339) and 2/(-4) - (-99)/(-14).
70
Let f = -78 - -79. What is the smallest common multiple of 2 and f?
2
Let i = 7 - -9. What is the lowest common multiple of i and 4?
16
Suppose -3*x = -5*a - x + 10, -4*x = -2*a - 12. Suppose -2*z + 10 - a = 0. Calculate the lowest common multiple of z and 11.
33
Find the common denominator of 161/(-30) - (-4)/6 and 108/(-22) + (-33)/(-22).
110
Suppose 0 = a - 5*a - 60. Suppose 4*b + 63 = 7*b. Let f = b + a. What is the lowest common multiple of 9 and f?
18
Let a = 29 - 12. Let z(j) = j**3 - 16*j**2 - 16*j - 9. Calculate the smallest common multiple of z(a) and 10.
40
Let g = 345176 + -3182867900/9221. Let k = g + 1097339/92210. Calculate the common denominator of k and -29*1/14 + -2.
70
What is the common denominator of (-152)/220 - 2/5 and 3/(-12) + 1505/(-60)?
33
Suppose -4*v + 2*o + 3 = -15, 0 = v + 4*o. Suppose -a - a + 6 = 0, 27 = v*u + 5*a. Suppose -u*m + 40 = 2*m. What is the smallest common multiple of m and 8?
8
Suppose -4*f + u - 4 = -0, -1 = f - 2*u. What is the lowest common multiple of -4*-3*f/(-2) and 1?
6
Let x(a) = -4*a + 2. Calculate the smallest common multiple of x(-5) and 3 + 102/(-30) - (-62)/5.
132
Suppose -c + 4*q = -0*c - 6, -c + 3 = -q. Calculate the smallest common multiple of 2 and c.
2
Let h = 25 + -13. Calculate the lowest common multiple of 6 and h.
12
Find the common denominator of 132/21 + (-1 - 2) and -1 + -2 - (-180)/66.
77
What is the common denominator of -4 + (-678)/99*6/(-16) and -35/24?
264
Let u = -1 - -3. Suppose u*j + 6 = 3*j. What is the lowest common multiple of j and 5?
30
Let r be 2/10 - (-