
Suppose 4*n - z = 9, n + 6 = 5*z - 6. Let h = n + 1. What is the common denominator of h/((-48)/231) + 1 and -34/7?
28
Let z be -2 + 3 + 15 + -2. Let k = z - 0. What is the least common multiple of k and 4?
28
Let r be (1 - 1)*(-4)/8. Let h = 0 + r. Suppose 5*b - 43 = 3*y + 47, h = 4*b - 3*y - 72. Calculate the smallest common multiple of b and 22.
198
Let j = -15 + 9. Let v be (-276)/(-10) - j/15. Suppose -q - q = 4*p - v, 3*q - p - 42 = 0. Calculate the smallest common multiple of q and 16.
112
Let v = 4424084038300524252231/13442 + -658247881811763465/2. Let n = v - 1833332983. Let w = n + -2/611. Find the common denominator of 117/10 and w.
110
Let o = 457/20 - 23. What is the common denominator of 39/20 and o?
20
Calculate the lowest common multiple of 112/21 - (-4)/6 and 245/14*4/5.
42
Let t = 1 - -1. Suppose 4*c = -12, 0*u + 4*c = u - 30. What is the smallest common multiple of t and u?
18
Suppose 1 = -3*s + 7. Calculate the common denominator of 29/6 and 4 - s - (-234)/(-44).
66
Find the common denominator of 43/6 and (-5 + (-543)/120)*(-6)/27.
60
Let t(c) = -c**2 + c - 1. Let w(f) = -f - 4. Let z be w(-5). Let p be t(z). Calculate the least common multiple of 0 + 3/3 - p and 8.
8
Let s(d) = -10*d + 3. Let k be s(6). Calculate the least common multiple of 18 and 3/(k/(-48) + -1).
144
Let m(i) = i**3 - 6*i**2 - 13*i - 10. What is the least common multiple of 48/(-10)*(-40)/12 and m(8)?
112
Suppose 2*z + 2*j = 14, -2*z + 0*j + 14 = 5*j. Calculate the smallest common multiple of 3 and z.
21
Let y = 12 + -6. Let r be 4/(y/3 - 0). Suppose -r*q + 2 = -14. Calculate the least common multiple of q and 2.
8
Let a(z) = -z**2 + 6*z - 3. Suppose 3*t - 78 = -9. Suppose 20 = -4*v, -8 = p - 2*v - t. What is the smallest common multiple of a(p) and 10?
10
Let u(h) = -2*h + 4. Let w be -8 + 0 + 1 + 0. What is the least common multiple of 4 and u(w)?
36
Suppose w - 391 = -4*g, -5*g - 12*w + 485 = -10*w. What is the least common multiple of g and 33?
99
Let d(o) be the third derivative of -o**4/12 - 5*o**3/3 + 3*o**2. Calculate the lowest common multiple of d(-7) and 6.
12
Let h be (1 + 8)/3 - -17. Let l be ((102829/h)/(-1))/1. Let o = 5139 + l. Find the common denominator of o and -79/16.
80
Let i = -1 + 13. What is the least common multiple of i and 12 + 0 - (0 - -1)?
132
Let m = 11453/8 + -1440. Find the common denominator of m and -55/4.
8
Let s(m) = -m + 10. Suppose 4*u + 0*u - 55 = -5*z, -5*z + 25 = -2*u. Calculate the smallest common multiple of s(z) and 3.
3
Let a = -49231 + 12012337/244. Let s = -11645/1708 + a. Calculate the common denominator of s and 10/6*9/(-6).
14
Let i = -8430 + 101303/12. Find the common denominator of 57/10 and i.
60
Suppose 0 = -4*v - 79 + 271. Calculate the common denominator of ((-74)/v)/(2/(-8)) and 27.
6
Let o be 1154/19*(-3)/(-33). Let n = 155/19 - o. What is the common denominator of -3 and n?
11
Let k = 171 + -121. Let l = 70 - k. Calculate the lowest common multiple of l and 20.
20
Let b be 93021/(-1024272)*-1366 + -1. Let s = 1/18968 - b. Let c = s - -752/9. Calculate the common denominator of 39/14 and c.
14
Suppose s - 4*p = -0 + 7, 0 = -s + p + 4. Suppose 4 - 19 = -s*u. What is the lowest common multiple of u and 5?
5
Let x = -37 - -4. Find the common denominator of -30/7 and -3 + (39/x - -1).
77
Let k = -18 - -15. What is the least common multiple of 7 and 6*k*4/(-9)?
56
Let g = -4615/11 - -419. What is the common denominator of 49 and g?
11
Let i(j) = -j**2 - 11*j - 23. What is the lowest common multiple of i(-6) and 3?
21
Let y = -2161 + 807. Let v = -2443411/1770 - 37/885. Let k = y - v. Find the common denominator of k and 77/2.
2
Suppose -12 = 4*t - 32, -3*t = -x - 8. Calculate the lowest common multiple of 3 and x.
21
Let w(h) = 7*h - 37. What is the least common multiple of w(7) and 7?
84
Let l = -1559/8 + 20023/104. What is the common denominator of -43/8 and l?
104
Suppose 0 = 5*t - 5 - 100. What is the smallest common multiple of 33 and t?
231
Calculate the common denominator of 145/6 and 3 - 115/(-6) - 3.
6
Calculate the common denominator of ((-1)/5)/(5/(-110)) and 34.
5
Suppose -2*t = 3*o - 12 - 24, 4*o + 88 = 3*t. Suppose -3*h - z = 2*z - t, 5*z = 4*h + 13. What is the least common multiple of 11 and h?
33
Suppose 23 = 3*j - 163. What is the lowest common multiple of 12 and j?
372
Let m(a) = -5*a. Let t be m(6). What is the common denominator of -43/5 and (-237)/t*-1*-1?
10
Let h(q) = -q**2 - 7*q + 8. Suppose -5*n + 112 = 4*c + 17, 0 = 3*c - 4*n - 48. What is the smallest common multiple of c and h(-6)?
140
Calculate the common denominator of 6/(-34)*(483/(-54) + 5) and -5/8.
408
Suppose -6*u = -5*u - 3. What is the smallest common multiple of 12 and u?
12
Let c = -1079/36 + 99/4. Find the common denominator of c and -23.
9
Let g(v) = 0*v - v + 0 - 2. Let j(s) = -s**3 + 7*s**2 - 5*s - 2. What is the lowest common multiple of g(-12) and j(6)?
20
Let k(f) = -f - 7. Let b be ((-1)/3)/((-4)/36). Suppose -b*j - j = -4. What is the lowest common multiple of j and k(-11)?
4
Suppose -5*m - 5*j = -4*m - 63, 51 = m - j. Let c = m + -264/5. Find the common denominator of (-2)/(-3) - 151/6 and c.
10
Suppose -4*k - 10 = -u - 0*k, 2*k - 2 = -3*u. Calculate the least common multiple of 20 and u.
20
Let y(p) = -p**3 + 7*p**2 + 8*p - 12. What is the smallest common multiple of y(7) and 4?
44
Calculate the lowest common multiple of 7 and (-1)/(-2)*126/9.
7
Let k = -287/4 - -70. Find the common denominator of (5 - 9)/((-22)/14) and k.
44
Suppose p - 37 = 35. Calculate the least common multiple of p and 20.
360
Suppose -r - 103 = -5*v + 16, -3*v - 3*r = -75. Calculate the smallest common multiple of v and 12.
24
Let z be ((-38)/(-5))/((-1)/(-5)). Let s = 58 - z. Suppose -3*q + 9 = 2*c + c, -20 = 4*c. What is the smallest common multiple of s and q?
40
Let l(s) = -7*s**3 - 1. Calculate the lowest common multiple of 9 and l(-1).
18
Let m(s) = s - 1. Suppose 3*k + 1 = 7. Calculate the smallest common multiple of m(7) and k.
6
Let f = 2029 + -36511/18. Let p = -69880 - -1125081/16. Let b = -434 + p. Find the common denominator of f and b.
144
Calculate the common denominator of 109/14 and (-2)/24*(-262)/2.
84
Suppose 2*y + g = 35, y - 50 = -2*y - 4*g. What is the least common multiple of y and 9?
18
Suppose -110 = z - 6*z. Calculate the least common multiple of 16 and z.
176
Let a = -3/1147 - 51591/9176. What is the common denominator of a and 75/4?
8
Calculate the common denominator of -55*(1 - 8/12) and -52/5.
15
Let a = -3076/57 - -54. Let r = a - 289/114. Calculate the common denominator of -71/10 and r.
10
Suppose -6*s = -334 + 64. Calculate the lowest common multiple of 24 and s.
360
Suppose -4*u + 3*u + 1 = 0, -11 = 3*i - 5*u. Suppose 0 = -5*h + 2*s - 1 + 6, 3*h - 3 = -5*s. What is the lowest common multiple of (8/10)/(i/(-5)) and h?
2
What is the lowest common multiple of (-138)/(-18) + 2/6 and 12?
24
Let x = -256 + 146. Let p = -2384 - -28591/12. Calculate the common denominator of 9/(-6)*x/18 and p.
12
Let g = -1051/6 + 663/4. Calculate the common denominator of g and -57/16.
48
Let q = 17128/9 - 1905. Find the common denominator of 44 and q.
9
Let j = 65 - 39. Calculate the least common multiple of j and 16.
208
Calculate the common denominator of 139/18 and 9/(-6) - -1 - (-28)/(-15).
90
Let h = -580/33 - -62/3. Let a(m) = 9*m**2 - 3*m. Find the common denominator of a(2) and h.
11
Suppose -5 + 2 = -z. Suppose 5*h + 0*k - 24 = k, 3*h + z*k = 0. Suppose -32 = -h*a - 3*d, 0*a + 5*a = -3*d + 43. Calculate the least common multiple of 5 and a.
55
Let q = 165/28 + -1312/217. Calculate the common denominator of 61/22 and q.
1364
Let i(j) be the second derivative of 3*j**4/4 - j**3/3 + j**2/2 + j. What is the least common multiple of 3 and i(1)?
24
Let c = -7 + 27. Calculate the lowest common multiple of c and (0 - -1) + (3 - 2).
20
Suppose 0 = 4*s - 5*a - 30, 35 = 3*s + a + 3. Suppose -6*y = -7*y + s. What is the lowest common multiple of 11 and y?
110
Suppose 80 = -3*k - m + 501, -25 = 5*m. Find the common denominator of k/28 - (-6)/(-12) and 121/6.
42
Find the common denominator of (-265)/36 + 2/(-8) and -95/14.
126
Let z = 50 - 805/16. Let c = 55/16 - z. Calculate the common denominator of -58/7 and c.
