 5*w = 5. What is the smallest common multiple of a and g?
1
Let i(n) = -2*n**2 + 9*n + 8. Let j be i(7). Let t = 45 + j. What is the smallest common multiple of t and 16?
144
Let b be (15 + 1)*7/4. Suppose 4*j = -j - 5*x - 10, j - 5*x = b. Suppose 8 + 10 = j*q. What is the least common multiple of q and 2?
6
Let n be (-6)/(-7)*(9 + -2). Calculate the common denominator of (4/n)/(20/(-305)) and 1/2 - 100/(-14).
42
Let t be (3 + -55)/(0 + 1). Let i = 33/16 - 185/144. What is the common denominator of i and (-6)/(-4)*t/22?
99
Let b(v) = 2*v**2 + 9*v + 14. What is the least common multiple of 14 and b(-4)?
70
Let b = 623/156 - 40/13. Calculate the common denominator of b and -93/2.
12
Let x be 2/(-9) + (-3950)/45. Find the common denominator of -2/3 and (x/30)/((-6)/(-15)).
3
Let k(w) = -w**3 + 13*w**2 + 36. Calculate the least common multiple of 22 and k(13).
396
Let a = -113470889948/23 + 659640716579/230. Let w = -736025198283043/356340 - a. Let x = w + -2/5939. Calculate the common denominator of -37/12 and x.
12
Calculate the lowest common multiple of 156 and 21 + (-3 - -2) + 0 + 2.
1716
Suppose 5*c = 229 - 3119. What is the common denominator of 1/(6/(-98)*-3) and 4/22 + c/(-88)?
36
Suppose 0 = 5*z - 2*l - 57, 18 = 3*z - 3*l - 9. Suppose o - z = 3*s, 0*o + 4*s = 2*o - 20. Calculate the least common multiple of 14 and o.
28
Suppose -5*j + 50 = 5*b, -22 = -4*b + j + 8. Let f = b - 2. What is the least common multiple of f and 14?
42
Let z(b) = -65*b**3 + b. What is the smallest common multiple of 40 and z(-1)?
320
Suppose 3*k = 4*k - 49. Find the common denominator of -42/11 and k/(-9) + 2 - 1.
99
Let m = -2018/11 + 35675/198. Find the common denominator of 89/8 and m.
72
Suppose -7 = -4*o + 1. Let v = -15 - -47. Suppose o*f = 6*f - v. Calculate the least common multiple of 4 and f.
8
Suppose 0 = 3*c + 77 + 31. Find the common denominator of c and -39.
1
Let o = -10 - -4. Let i = 11 + o. Let t = 37 - 28. Calculate the lowest common multiple of t and i.
45
Let i(s) = s - 13. Let r be i(9). Find the common denominator of (-402)/(-56) - 1/r and (15 + -2)/((-30)/21).
70
What is the common denominator of 1 + (-5)/(140/218) and -67/12?
84
What is the common denominator of -9/7 and 10/15*93/20?
70
Let d be -112*557 - (-1)/1. Let l = d + 75171521/1205. Let v = -143503/21690 + l. Calculate the common denominator of v and 151/18.
18
Let l(s) = 0 - 2*s + 1 - 3*s**2 - s**3 - s**3. What is the smallest common multiple of (20/(-7))/(2 + (-32)/14) and l(-2)?
90
What is the common denominator of -2 + (2/13 - 11557/3718) and -99/20?
220
Suppose 2*q + l = -3*q + 49, 5*q - 47 = -3*l. Suppose -40 = 3*v - 7*v. Calculate the smallest common multiple of q and v.
10
Let s = -28 + 46. Suppose 0 = n + 2*y + 12, 2*y + 8 = 2*n + 2. What is the lowest common multiple of s and (-123)/(-15) + n/10?
72
Let r be 17/(-1)*(0 + 617). Let k = r - -209727/20. What is the common denominator of 4/48 + -6 + 2 and k?
60
Let o = -6 - -3. Let n = 10 + o. What is the least common multiple of n and 3?
21
Let l = -184727939/299802 + -10/49967. Let b = -694 + 75. Let w = b - l. Calculate the common denominator of w and -48.
6
Let f(u) = 3*u - 9. Let b be f(7). Calculate the common denominator of (6/14)/(b/190) and 31/22.
154
What is the common denominator of (-4)/(-14) - (-1044)/(-28) and 0 - (170/(-8))/(-5)?
4
Let m = 839 - 569. Suppose 4*g = 5*b + g + 11, -2*b + 1 = -3*g. Find the common denominator of 41/2 and m/64*b/3.
8
What is the least common multiple of 44 and (-1)/(6/(-124)) + (-4)/6?
220
Let k be (-35)/580*(-1221)/5. Let g = k + 2/145. Calculate the common denominator of g and 202/(-48) - (-8)/(-12).
8
Let s = 67820 - 1153588/17. Let m = s + 3875/136. Find the common denominator of -69/16 and m.
16
Let q(u) = -u**3 - 8*u**2 - 13*u + 5. What is the smallest common multiple of 7 and q(-6)?
77
Let k = -52924/9 - -11745/2. What is the common denominator of k and 0 - (67/4 - 2)?
36
Suppose -5*m + 27 - 2 = 0. Suppose -m*c - 5 = -0*s + 4*s, -4*c + 22 = -2*s. Calculate the lowest common multiple of 4 and c.
12
Suppose -4*v = -2*v - 44. Let i be (-2 - (2 - 4)) + 115. Let d = i + -285/2. Find the common denominator of d and v.
2
Let p(w) = -w**3 - 9*w**2 + 2*w + 8. Let h be p(-10). Suppose -3*b - b + h = 0. Calculate the lowest common multiple of 18 and b.
198
Calculate the common denominator of 55/4 and ((-13)/(-8))/((-18)/20).
36
Let z = -5/9 - 23/45. Calculate the common denominator of z and 71/3.
15
Let w = 10 - 26. What is the common denominator of 93/22 and (10/45)/(w/(-822))?
132
Suppose -y - 2*p = -0*p + 2, 0 = 5*y + p - 8. What is the common denominator of ((-104)/7)/4 - y and -47/5?
35
Let x be (13731/60)/((-4)/70). Let o = 3996 + x. What is the common denominator of 5/34 and o?
136
What is the smallest common multiple of 420/(-147)*7/(-2) and 70?
70
Let z(k) = k**3 + 3*k**2 + k. Suppose 0*r + 2*r = -4. What is the smallest common multiple of 18 and z(r)?
18
Let r = -1017/2 + 487. What is the common denominator of -2 + 3 + 93/(-60) and r?
20
Let o = -1 - -5. Find the common denominator of -89/10 and (o + -7)*218/(-132).
110
Suppose -7 - 8 = -5*n. Suppose -n*b = -24 + 3. Calculate the least common multiple of b and 5.
35
Calculate the smallest common multiple of 9 and ((-31)/(-2) + -3)*2 - 1.
72
Suppose 0 = -k - 5*f - 834 - 634, -3*f = -15. Let i be (k/(-1))/(0 + -6). Let l = i + 5092/21. Find the common denominator of l and 99/2.
14
Let s = -22 - -34. Suppose 3*u - 15 = 4*k, 5*k = 3 + s. Calculate the least common multiple of 2 and u.
18
Suppose 3*a + 1 - 4 = 0. Suppose -4*j + h = -0*h - 31, -2*j - 3*h = -5. What is the smallest common multiple of j and a?
7
Let y = 29023/11 + -2643. Let j = -1/1076 - -73173/5380. Let c = j + -81/5. Calculate the common denominator of c and y.
55
Find the common denominator of 4 + (173/(-10) - -3) and 23/48.
240
Suppose 2*j = -2*y - 46, -104 = 5*y - 2*j + 39. Let m be (2/(-6))/(469/546). Let v = -3272/201 + m. Calculate the common denominator of y and v.
3
Suppose 2*r - 4 = k + 9, -3*r = k - 22. Let y = 27 - 18. Suppose -l + 4*l = y. Calculate the lowest common multiple of l and r.
21
Let g(l) = -14*l. Let r be g(-1). Suppose -2*d = m - 15, -3*d = m - 34 + r. Let j(v) = -v - 1. Calculate the least common multiple of j(-4) and m.
15
Suppose -2*y - 20 = 3*y. Let o(h) = 2*h**2 + 7*h - 11. Let r(w) = w**2 + 4*w - 6. Let b(i) = 4*o(i) - 7*r(i). What is the least common multiple of b(y) and 10?
70
Let s = 8209/12 - 683. Let t = -8285/14 + 591. Calculate the common denominator of s and t.
84
Let a(t) = t**3 - 3*t**2 + 4*t - 2. Let k be a(2). Suppose 0 = -2*s + w + 21, -k*w + 6 + 2 = s. Calculate the lowest common multiple of s and 2.
10
Let t = 39 - 29. What is the least common multiple of 26 and t?
130
Suppose x - 2*x = -3. Suppose 2*r - x = r. Let q(a) = -a**3 + 4*a**2 - 2*a + 1. Calculate the least common multiple of q(r) and 1.
4
Suppose -6*h + 20 = -2*h - 4*k, -h = -2*k - 5. Suppose -q = -h*q + 8. Calculate the lowest common multiple of 16 and q.
16
Suppose 8*j = 3*j. Let m(v) = v**2 + 10*v + 18. Let d be m(-8). Suppose j = -s - d + 8. Calculate the smallest common multiple of s and 3.
6
Find the common denominator of -3 - ((-1743)/70)/((-12)/(-10)) and -42/37.
148
Suppose -4*l = -20 - 68. What is the least common multiple of l and 20/((-2)/5*-5)?
110
Find the common denominator of -77/6 and 178/(-12) - 3*(-4)/(-3).
6
Suppose -x = -5*j - 5, 3*x - 7 = 8. Suppose -5*c + 5*o = 5, -o + 4*o - 9 = j. Calculate the common denominator of (-601)/(-30) - c/10 and 67/18.
18
Suppose -5*s + 7 - 2 = 0. What is the smallest common multiple of s and 8?
8
Let r = -68/373 - -252111/1384949. Let g = 323023/29704 - r. Calculate the common denominator of 31/16 and g.
16
Suppose -3*z + 31 - 22 = 0. Calculate the least common multiple of 27 and z.
27
Let h = 2287 - 11471/5. Let z be 6533/6534 + -4 + 3. Let g = -44287/6534 - z. What is the common denominator of g and h?
45
Let s = 607/50 - -84/25. What is the common denominator of -43/26 and s?
26
Let s = 95671/18 + -5317. Find the common denominator of s and (-12)/36 + (-119)/30 - 4.
90
Let w(c) = -c**3 - 6*c**2 - 6*c + 4. Let d be w(-5). What is the common denominator of 40/9 and (d/24)/((-25)/660)?
90
Let r(g) = 4