at is the common denominator of q and 2/10*370/44?
220
Let a = -141/2 - -215/4. Let r be (-147)/16*(-282)/(-909). Let v = 5/202 - r. What is the common denominator of a and v?
8
Let x(l) = -l**2 + 10*l + 1. Let g be x(10). Let v be (1098/12)/(g/(-50)). Let s = v - -27353/6. What is the common denominator of s and 55/12?
12
Suppose 12 = -w - 3*x, x = 5*x + 8. Let f be (-3)/9 - w/(-9). What is the least common multiple of (4 - f) + (-4 - -7) and 5?
40
Let k(t) = -t**3 + 6*t**2 + 22*t - 16. What is the least common multiple of 51 and k(5)?
357
Let l = -3946/3 - -1332. Let j = 1 + l. What is the common denominator of j and -13/4?
12
Suppose -3*c = -c - 26. Let q(r) be the third derivative of r**5/60 - 13*r**4/24 + 5*r**3/6 + 78*r**2. What is the smallest common multiple of q(c) and 6?
30
Let o = -23117/10186 - 3/926. Let h = 88/1303 - 1027366/15173435. Let a = 337687/104805 - h. What is the common denominator of a and o?
99
Let u be 12/(-16)*-4 + 15 + 1. Suppose -5*b + u + 1 = 0. Calculate the smallest common multiple of 16 and b.
16
Find the common denominator of (158/(-72))/(3/6) and (169 + 0)/(27 + 3).
90
Suppose 3*c = 23*c + 60. Calculate the common denominator of 95/14 and c.
14
Let h = 15 + -7. Let t be 36 + -1 + 7/21*-3. Suppose 99 = t*r - 23*r. Calculate the lowest common multiple of r and h.
72
Let t(x) = x - 1. Let r be t(4). Let p(i) = 4*i - 2. Let s be p(r). Let d = s + -1. What is the common denominator of d and 23/4?
4
Suppose -l = 2*l. Suppose l = 4*j - 6*j. What is the common denominator of 89/4 and (-1 + j)/(33/144)?
44
Let v = 10 + 4. Let r be ((-88)/20 + 4)*115. Let h = 62 + r. What is the smallest common multiple of h and v?
112
Calculate the common denominator of 47/10 and (-1111)/462*(1 - 4).
70
Let w(q) = 2*q**2 - 3*q - 5. Suppose 245*c + 855 - 3697 - 3773 = 0. What is the smallest common multiple of c and w(4)?
135
Suppose m - 18 = -16. Suppose 4*x = m + 6. What is the common denominator of 4 + (-141)/27 + x and -37/2?
18
Let y(c) = c**3 + 5*c**2 - c + 3. What is the least common multiple of 6 - ((-4)/(-4) - 3) and y(-5)?
8
Let i = -12435523/10 - -1244964. Let m = -1407 + i. Find the common denominator of (22/4)/((-18)/16) and m.
90
What is the common denominator of (((-3540)/(-112))/15)/1 and 37/32?
224
Let s = -7 + 7. Suppose -3*v - 10 - 44 = s. Let t = v + 20. Calculate the least common multiple of 2 and t.
2
Let a = -563 - -1361. Calculate the common denominator of (-28)/(-63)*a/(-16) and -5/13.
78
Let n = 2 - 23. Let y(v) = -3*v - 27. Let d be y(-10). What is the common denominator of d/4*(-1190)/n and -55/2?
2
What is the common denominator of 101/14 and (-6)/24 + -3 + 186/80?
280
Suppose 0 = 7*k - 468 + 321. What is the smallest common multiple of k and 18?
126
Find the common denominator of 102/(-136) + (303/(-396) - 0) and 46/99.
99
Let m(x) = 4551*x - 13. Let o be m(-5). Let p = o + 546545/24. Find the common denominator of 29/21 and p.
168
Suppose 47*a + 7*a - 486 = 0. Calculate the smallest common multiple of a and 1022.
9198
Suppose -18 = b + 4*j, 0 = b + 3*j - j + 8. Suppose 0 = -o + b + 14. Calculate the lowest common multiple of 22 and o.
176
Suppose -3*o = -5*g + 69, -2*g - 9 = -4*g - 5*o. Let m = -3455 + 3481. What is the least common multiple of g and m?
156
Let j be (-3)/(-4)*8/2. Find the common denominator of -1 - (j - (-1)/10) and -53/2.
10
Let c = -1029 - -4087/4. What is the common denominator of c and 133/822?
1644
Let w = -383 - -1084/3. Calculate the common denominator of 178/(-3)*(-2)/16 and w.
12
Let j(c) = c**2 + 6*c + 1. Suppose -3*i = -3*x, 2*x + 0*x - 25 = -3*i. Calculate the least common multiple of x and j(-7).
40
Let u = 2231321/270 - 41334/5. Calculate the common denominator of u and 7/18.
54
Let m(w) = 1595*w**2 + 4*w - 9. Let x be m(-3). Let p = x - 286789/20. Calculate the common denominator of p and -49/4.
20
Let z(x) = 32*x + 2. Suppose 0*f = -f - 4. Let l be z(f). What is the lowest common multiple of 8 and 432/l*(-14)/4?
24
Suppose -33 = -5*t + 2*q, -3*t + q + 9 = -11. Suppose -t*r + 54 = -r. Calculate the least common multiple of 8 and r.
72
Let j = 12/8416601 - 82233795/39967627004266. Let o = j - 80889963800/16620331. Let m = 4870 + o. What is the common denominator of -117/10 and m?
70
Suppose 3*w - 108 = 2*k - 5*k, -1 = -k. Let n = -3 + 7. Calculate the lowest common multiple of n and 230/w - 8/14.
12
Let k(y) = 5*y**2 - y - 8. Let a(t) = -6*t**2 + 2*t + 9. Let z(m) = 4*a(m) + 5*k(m). What is the least common multiple of 16 and z(2)?
48
Find the common denominator of (-78)/273 + (-19359)/(-14812) + -1 and -27/4.
2116
Let q = 124305/22 - 5652. Let a = 5457277/4241380 + -6/19279. Let z = a - 2/55. Find the common denominator of q and z.
44
Let i be 10*((-2)/(-4) - 81/90). What is the lowest common multiple of 16 and (-80)/15*3/i?
16
Let i = -28 + 50. Let j(t) = t + 13. Let z be j(16). Suppose z*s - 16 = 28*s. Calculate the smallest common multiple of i and s.
176
Let h(t) = 70*t**2 - 2*t - 3. Let d be h(-1). Find the common denominator of 50/68*d/230 and 35/18.
612
Let z(n) = -n - 2. Let v be z(-5). Suppose -5*w = -5*c + 85, v*c + w = 6*w + 41. Calculate the lowest common multiple of c and 90.
990
Let t = 42 + -28. Calculate the smallest common multiple of 14 and 6/21 + 472/t.
238
Suppose 6*z = -37 + 1. Let c be 2/z*(-12)/1. Suppose 4*i + 5*m - 29 = 3*i, m - c = 0. What is the common denominator of 3/7 and i?
7
Find the common denominator of -145/648 and (-3206)/228 + ((-232)/38 - -6).
648
Let d(i) = i + 18. Let l be d(-10). What is the common denominator of (-1 - 76)*l/48 and 85/12?
12
Calculate the common denominator of (-5)/(-132)*(-318)/20 and 43/40.
440
Let l be -24*-3*(-292)/888. Let h = 458021/222 - l. Let c = -2108 + h. Find the common denominator of c and 17/2.
6
Let w be (-432)/(-20) - (-6)/15. Suppose 4*x = w - 110. What is the common denominator of -40 and -3 - (468/x)/3?
11
Suppose 3*j - 3*q = 24, -q - 24 = 100*j - 103*j. Calculate the lowest common multiple of j and 120.
120
Let c = -352/3 + 126. What is the common denominator of 61/141 and c?
141
Let c be ((-10)/20)/((-1)/2). Let w = -300817/16 - -18795. Calculate the common denominator of w and c/(2*(-30)/(-715)).
48
Suppose 0 = 9*b - 6*b + 6. Calculate the common denominator of (-119*b/(-6) + -1)/2 and -149/6.
6
Let t(g) = 5*g**3 - 12*g**2 + g + 8. Calculate the lowest common multiple of 12 and t(4).
420
Suppose 6*i + 198 = -5*i. What is the lowest common multiple of 16 and (2/6)/((6 + -12)/i)?
16
Find the common denominator of -101/36 and (-267)/20*(-48)/(-288).
360
Suppose 5*r - n - 520 = 3*n, 0 = 3*n. Suppose -6*b + r = -46. What is the lowest common multiple of b and 11?
275
Let y be 3/(3/8747) - 0. Let x = y - 122375/14. Find the common denominator of 251/80 - 6/30 and x.
112
Suppose -54*i = -60*i + 30. Suppose y - 5*y = -2*c + 18, -3*y = -3*c + 21. What is the least common multiple of (-2 - -2) + (y - -11) and i?
45
Let b(p) = 20*p. Let m be b(-1). Let u(r) = 12*r**2 - 2. Let w be u(1). What is the common denominator of (-46)/m + 6/w and 77/12?
60
What is the lowest common multiple of (-73)/(-6) + (-28)/168 and 10?
60
What is the smallest common multiple of (168/(-49))/(0 + (-2)/7) and 132?
132
Suppose 0 = 3*y - n + 32 - 112, -4*y + 4*n + 96 = 0. What is the least common multiple of y and 84?
84
Let x = 5373/191216 + -12/703. Find the common denominator of x and 58/7.
1904
Let d = 76171/10 - 7609. Find the common denominator of 91/8 and d.
40
Let h(m) = -8*m + 34. What is the smallest common multiple of h(2) and 96?
288
Suppose 5*z - 7 = z - 5*t, 0 = 3*t + 3. Suppose a + 70 = z*a. What is the common denominator of 7/18 and a/8 - 5/20?
72
Suppose 3*h + 3*o + 2*o - 34 = 0, -5*h + 2*o = -98. Suppose -5*j = 3*x - 119, -75 - 61 = -4*x - j. Calculate the smallest common multiple of h and x.
198
Let t = -66/475 + -31771/20900. Let b = -370873/61254 + -3/3403. Calculate the common denominator of t and b.
396
Suppose -i + 36 = 23. Suppose -4*c - v - 25 - 4 = 0, -3*v = -4*c - 25. What is the smallest common multiple of 2 and (i + c)*(-6)/(-4)?
18
What is the common denominator of 40/3 and 8/54*(9 + -24)?
9
Let x = -106 - -140. What is the lowest common multiple of x and 3?
102
Suppose -98 = -3*n + 196. Suppos