. Let r = j - -1364/161. Let a = -2990 + 32864/11. Calculate the common denominator of r and a.
77
Let l(c) = -c + 27. What is the lowest common multiple of l(17) and 8?
40
Suppose -i + 3 = -3*k, 0*i + 2*k + 2 = 3*i. Suppose -2*a = 3*u - 30, i*u = a - 3*u + 3. Calculate the smallest common multiple of ((-12)/8)/((-15)/80) and a.
72
Suppose -y - 3*j = 31, 2*j - 75 = 5*y + j. Let u = y + 27. What is the least common multiple of u and 1?
11
Let z be 2*-4*3/(-6). What is the common denominator of 73*(-1 + 6/z) and (-4 - 5)*(-10)/3?
2
Let n be -2*25/2*1. Let m = n - -35. Let a(t) = 2*t - 14. Calculate the least common multiple of 20 and a(m).
60
What is the common denominator of 5/14 and 4/(-6) + 118/36?
126
Let m(w) = -w + 17. Calculate the least common multiple of 5 and m(14).
15
Let r be (-1)/7*(-57925)/7. Let q = r - 1187. What is the common denominator of 38/9 and q?
63
Let q = 53 + -2059/39. Calculate the common denominator of -32 and q.
39
Let c = -86/11 - 61/33. Find the common denominator of (-4)/80*-5*4 and c.
3
Let j = 129 + -109. Calculate the least common multiple of 40 and j.
40
Calculate the common denominator of 41*(-3)/36*-4 and (162/16)/1 - 2.
24
Let j = -163/25 + 8173/1150. Find the common denominator of 139/12 and j.
276
Let y = -378/17 + 2549/68. Find the common denominator of ((-34)/3)/(8/(-18)) and y.
4
Let j(p) = p**2 + 10*p - 17. Let u(v) = -v**2 + 3*v + 2. Let l be u(5). Calculate the least common multiple of (10/l)/((-1)/8) and j(-13).
110
Suppose a + 467 = 3*f + 1283, -2*f + 2*a - 540 = 0. What is the common denominator of (-4)/(-3)*f/(-16) and -3/22?
44
Let t = -2 - -4. Suppose 0 = -t*a - 0 - 12. Calculate the lowest common multiple of a/(-9) + (-8)/(-6) and 4.
4
Suppose 0 = s - 0*s - 11. Let o be (-3)/1 + 5 - s. Calculate the common denominator of o/7 + 0/4 and 83/8.
56
Suppose -31 - 79 = -2*k. Let f = -35 + k. Calculate the least common multiple of 18 and f.
180
Let i(k) = k - 5. Let o(n) = -6*n + 25. Let x(w) = -11*i(w) - 2*o(w). Calculate the least common multiple of x(4) and 3.
9
Let x = -21 + 25. Calculate the lowest common multiple of x and 22.
44
Suppose 14*u + 108 = 17*u. What is the lowest common multiple of u and 15?
180
Suppose 50 = s + 4*s. Let j = 10 + s. What is the least common multiple of 22 and j?
220
Suppose -5*c + 0*c = -5*s + 15, 5*c = 20. Let n(x) = -4*x - 2*x + s*x + 0*x - 1. Calculate the lowest common multiple of n(3) and 5.
10
Let w = 178 + -158. Calculate the smallest common multiple of 70 and w.
140
Let l(z) = z**3 - 4*z**2 - 13. What is the smallest common multiple of 2 and l(5)?
12
Let t = -324 - -2011/6. Let o = -4075/134 - 6/67. Find the common denominator of t and o.
6
Let z = -14 - -16. What is the smallest common multiple of 16 and z?
16
Suppose 3*q + 4*r + 151 = 0, -2*q = -0*q - 2*r + 96. Let x = -9 + 14. Suppose 2*n - 3*c = 7*n + 131, -x*c + 43 = -n. What is the common denominator of q and n?
1
Let f(p) = p + 8. Let u(h) = -h**2 + 2*h + 1. Let z be u(-1). Let n = z - 4. Calculate the lowest common multiple of 11 and f(n).
22
Suppose -5*v = t + 11, -3*v + 10 = 4*t + 3. Calculate the least common multiple of 1 and t.
4
Suppose -5*g + 3 + 17 = 0. Suppose -5*x + 1 + g = 0. What is the lowest common multiple of x and 8?
8
Calculate the common denominator of (1/7)/(360/1540) and (-222)/40 - (1 + -2).
180
Suppose -22 = -w - 5*q, -4*q = 3*w + 2*w - 26. Calculate the lowest common multiple of w and 3.
6
Let d(y) = 687*y**2 + 4*y + 5. Let v be d(5). Let h = v - 12046. Let j = h + -31021/6. Calculate the common denominator of j and 5/3.
6
Let v be ((-280)/(-3))/((-4)/(-18)). Calculate the common denominator of 2/(-14) - 4308/v and 26/24*(-15)/2.
40
Let s(m) = m**2 + 2*m + 53. Let w be s(0). Find the common denominator of (28/(-42))/(4/w) and 68/9.
18
Calculate the least common multiple of -4 + (2 - (-13 + -1)) and 10.
60
Suppose 4*x = -26 + 106. What is the smallest common multiple of x and 22?
220
Let x = 1766 + -10535/6. Calculate the common denominator of (-13)/3*(-9)/4 and x.
12
Let q = 164053667/4682468 - 2/167231. Let g = 69/28 + q. Find the common denominator of ((-101)/2 + 2)/11 and g.
22
Let c = 70072 - 101690. Let b be (-6)/(-24) + c/8. Let u = 43524/11 + b. What is the common denominator of -17/10 and u?
110
Let t = 10 - 4. Suppose 5 + 14 = 2*q + 3*z, 12 = 2*q - 4*z. Calculate the lowest common multiple of q and t.
24
Suppose -u = -w + 13, 4*u = -5*w + 4*w + 13. Let h = 282767/13964 + 1/3491. Calculate the common denominator of w and h.
4
Let j = 1/5690 - -177811/8535. Let l = -393 - -668. Let g = l + -2741/10. Find the common denominator of j and g.
30
Find the common denominator of 19/27 and 1612/195 + -1*2.
135
Let n = -29 - -23. What is the common denominator of 173/(-30) - 2/n and 67/16?
240
Let q = 6479 + -64897/10. Let u = -1176 - -2403/2. Find the common denominator of q and u.
10
Let i be ((-5)/(-15))/((-34)/477). Let p = -535/51 + i. Calculate the common denominator of 45/34 and p.
102
Suppose -2*j + 2 = -j. What is the least common multiple of j and 20?
20
Let k(a) = -a**3 - 8*a**2 - 4*a. Let p be k(-7). Let b = p + 41. What is the least common multiple of ((-2)/(-4) + -3)*-4 and b?
20
Suppose 2*q = q + 3. Suppose -n = 4*z - 197, -q*n - 147 = -3*z - 4*n. Calculate the common denominator of -3/5 and z.
5
Suppose 9 = j - 18. Let c = j + -24. What is the smallest common multiple of c and 9?
9
Let j = -12 + 3. Let n be (-358)/3 + (-3)/j. Calculate the common denominator of 19 and (-30)/(-35)*n/8.
4
Suppose -r + 20 = 5. Calculate the common denominator of -19/6 and ((-6)/r)/((-48)/230).
12
Calculate the lowest common multiple of 146 and (-8)/((-6)/51 + 24/(-85)).
1460
Let f(w) = -w**3 + 2*w**2 - w + 2. Let h be f(-5). Find the common denominator of 121/18 and 4/((-48)/h) - 1.
18
Calculate the common denominator of (-116)/(-30) - (-6 + -1 - -7) and 29/12.
60
Let y = 1 - -9. What is the smallest common multiple of 2/2*(9 + -4) and y?
10
Let y = 120 + -419/4. What is the common denominator of y and -55/76?
76
Let a = 6 + -2. Suppose -5*i = -d - 1, -3*d + 3*i + a = -5. Suppose 29 = d*k - m - 22, 0 = -4*k - 5*m + 33. What is the least common multiple of 4 and k?
12
Let n be (0/(-3) - 2479) + -1. Let a = n + 19923/8. Let m = -4665/8 + 579. Find the common denominator of m and a.
8
Let k(f) = -f + 20. Suppose 10*b - 5*b = 0. Let d(t) = -t**3 - 4*t**2 - t + 2. Calculate the smallest common multiple of k(b) and d(-4).
60
Calculate the lowest common multiple of 8 and 3/(-2 - (-124)/56).
56
Let a = 990215953 - 3124131358237/3155. Let o = a + 4/631. Calculate the common denominator of 69/2 and o.
10
Let v = 372272 + -2940101/8. Let y be 19011/(-4) - (-6)/8. Let i = v + y. Find the common denominator of -145/6 and i.
24
Calculate the common denominator of (5/(-5) - 1) + 27/2 and -79/16.
16
What is the common denominator of 125/15 - (-1)/(-2) and ((-27)/(-10))/((-24)/(-10))?
24
Let x be 4/10 - 138/(-30). Suppose 1 = -m - 3. Let y = m + x. What is the smallest common multiple of 10 and y?
10
Let l(d) = -d**2 + 6*d - 6. Let h be l(4). Let r(q) = -8 - 1 + 2*q + h - 3. What is the lowest common multiple of r(7) and 12?
12
Let d = 20897/14 - 1496. Let g = 139621855709/30029377660 - 396/2053993. Let m = -1/1462 - g. What is the common denominator of m and d?
140
Let m be ((12/21)/(-2))/212. Let z = m + -3701/6678. Let a = 163 + -1827/11. Calculate the common denominator of z and a.
99
Let k(m) = m**2 + 3*m + 2. Suppose 0 = -6*u + 3*u + 36. Let t = u - 4. What is the smallest common multiple of t and k(-5)?
24
Let t = 2250 + -15801/7. Let z = -85/126 - t. What is the common denominator of z and 37/6?
18
Let j(d) = d**2 - 32*d + 33. Suppose -3*v - 5*p + 15 = 0, 0 = -v + p + 4*p + 5. Calculate the smallest common multiple of v and j(31).
10
What is the lowest common multiple of 16/2 - (16 - 12) and 7?
28
What is the common denominator of -19/15 and ((-1284)/(-1080))/((4/(-6))/(-2))?
30
What is the common denominator of 41/21 and ((-6)/(-63))/(6/(-129))?
21
Let i(g) = 6*g - 6. Suppose -2*p - 4*k - 16 = -48, -p + k = -7. What is the smallest common multiple of p and i(4)?
90
Let i = -38/73 + 2891/365. Find the common denominator of i and -65/9.
45
Let o(d) = 4*d. Let z be o(1). Suppose 0 = z*u + 1