6822 + -18/379. Let k be ((-2)/6)/((-4)/949). Let m = 78 - k. What is the common denominator of n and m?
36
Find the common denominator of 3/4 and (-7)/(-84)*237/2.
8
Suppose -3*g = -d - 20, 3*g - 3*d - 19 = 11. What is the lowest common multiple of g and 3?
15
Let r = 6439/3894 - -5/177. Suppose 3*v + 274 = -2*i, 601 = -5*i - 5*v - 89. Let u = i - -251/2. Calculate the common denominator of r and u.
22
Calculate the common denominator of 0 - (38/14 - -3) and 49/11.
77
Let u be 2/(-6) - 78863/(-330). Let w = u - 1208/5. What is the common denominator of -97/12 and w?
132
Let p(l) = l - 3. Let n be ((-2)/(-4))/(1/10). Let w be p(n). Calculate the common denominator of -17/18 and w/(-1) - 114/(-40).
180
Let d = 218195/189 - -5476/189. Let g = d + -1186. Calculate the common denominator of (-294)/(-9)*(-2)/12 and g.
9
Let z = 4 - 10. What is the common denominator of 2 - (1 + (-143)/z) and (-3)/(-3) - 20/(-14)?
42
Suppose 5*d - 8 = -2*x, -x = -3*x + 5*d + 28. What is the least common multiple of 1 and x?
9
Let y be -24*(9/4)/3. Let d = 25 + y. Calculate the lowest common multiple of 10 and d.
70
Suppose -3*d = -d - 28. What is the lowest common multiple of 34 and d?
238
Suppose -1 = -d - u + 1, 0 = -u + 1. Let k = 7 - d. What is the smallest common multiple of 16 and k?
48
Suppose -5*n = -3*d - 500, -d + 2*n = 3*d + 662. What is the common denominator of 11/20 and -2 + d/36 + 3?
60
Find the common denominator of -2 + 5 + 273/70 and -74/9.
90
Let t(u) = u**3 - u**2 + u - 2. Let d be t(0). What is the common denominator of ((-963)/84)/((-3)/d) and -31/10?
70
Let s(b) = -b**3 - 2*b - 3. Let a be s(-2). Suppose -l = -3, 2*l + 6 = 3*x - 4*x. Calculate the common denominator of 55/6 and (3/a)/(x/(-225)).
12
Let j = 5 + 3. Suppose -3*x + 2*x + 10 = 0. Let t = -6 + x. What is the least common multiple of j and t?
8
Let t be 2 + 0 + 0 + -1. Let q(l) = l + l - 7*l - t. What is the least common multiple of q(-3) and 18?
126
Calculate the common denominator of -33/16 and ((-7)/(-70))/(8/890).
16
Calculate the smallest common multiple of (-9 + -66)/(2/(-2)) and 27.
675
Let r(s) be the second derivative of 1/2*s**2 + 4*s + 0 - 1/6*s**3. What is the least common multiple of r(-2) and 11?
33
Let k(t) = -2*t + 4. Calculate the lowest common multiple of k(0) and 28.
28
Let j = 0 - 2. Let h be (4/3)/(j/4677). Let w = h + 31267/10. Find the common denominator of w and -29/11.
110
Let p = -246 - -898. Suppose 2*v + p = -2428. Let j = v - -33919/22. Find the common denominator of 101/20 and j.
220
Suppose 2*u - 5*y - 6 = 5, 3*y + 15 = 0. Let g = u - -15. Suppose -g*x = -3*x - 90. Calculate the smallest common multiple of 6 and x.
18
Let n be (-6656)/(-16540) + 2/(-5). Let t = 4159/9924 - n. Calculate the common denominator of 0 + (-194)/(-4) + 1 and t.
12
Let j be (-80)/44 + (-2)/11. Let b = 4 - j. What is the lowest common multiple of b and 7?
42
Let i = 27 - 15. Calculate the lowest common multiple of i and 11.
132
What is the common denominator of 29/10*14/(-28) and 29/12?
60
Calculate the lowest common multiple of 6 and ((-1)/(-3))/(1*(-5)/(-1590)).
318
Let d = 1739/11 - 6220447/39347. Let p = -540199/64386 - d. Calculate the common denominator of p and -1/16.
144
Suppose 0 = 4*d + 226 + 6. What is the common denominator of 6 + -3 - d/(-8) and 29/24 + (-2)/(-3)?
8
Let k = -54 - -114. What is the least common multiple of 20 and k?
60
Suppose -t - 70 = -3*t. Let k = t + 4. Let n = -27 + k. What is the least common multiple of n and 20?
60
Calculate the common denominator of (-1343)/(-85)*5/32 and -89/24.
96
Let k = -2869/1077 - 1/359. What is the common denominator of k and 61/2?
6
Let n be (-1)/(-3) - 8915/195. Let x = n + 2851/78. What is the common denominator of x and 19/6?
6
Let q be (-200)/(-15)*(-651)/(-4). Let a = 21965569/10088 + -105/5044. Let n = a - q. What is the common denominator of n and 99/10?
40
Let s = -130415/22 + 5930. Calculate the common denominator of -107/10 and s.
110
Let y be 2/(-7) + (-163248)/(-571564). Let h = 1612607/204130 - y. What is the common denominator of h and -81/16?
80
Suppose -15 = 3*x + 2*x. Let o = 749339/127010 - -2/12701. Find the common denominator of o and (-106)/4 + x/3.
10
Calculate the common denominator of (-6)/(-33) + 1446/33 and (-106)/(-18) - 2/3.
9
Let b = -1 - -3. Let c be 3/(((-10)/(-6))/5). Suppose -5*a + c = -b*a. What is the lowest common multiple of a and 5?
15
Let f = 2/121 - 391/1694. What is the common denominator of f and 65/18?
126
Let t(o) be the first derivative of -2*o**3/3 + 7*o**2 - 6*o - 5. What is the lowest common multiple of t(6) and 2?
6
Let r = -342499406511/24719 + 4254304916781571513/307042609080. Let k = r + -3/828088. Let q = -173/5 + k. Find the common denominator of q and 11/14.
84
Suppose 2*b + 4 = 3*b - a, -5*a - 11 = 4*b. Suppose 4*r - 4*h - 5 + 1 = 0, 5*h = 4*r. What is the lowest common multiple of b and r?
5
Suppose 32 = 9*c - 5*c. What is the smallest common multiple of c and 10?
40
Let j = 103307/26 - 3974. Calculate the common denominator of -13/10 and j.
130
What is the common denominator of ((-34)/5)/((-28)/35) and 0 - 34/(-72) - -1?
36
Let f(u) = -u**3 - 19*u**2 - 20*u - 15. Calculate the lowest common multiple of 9 and f(-18).
63
Suppose -5*w = 8 - 18. Suppose -3*x + 2 + 10 = 0. What is the common denominator of (-77)/6 + (w - x) and -25/18?
18
Let q(b) = b**2 + 3*b - 5. Let s be q(-4). Find the common denominator of (6/5)/((-6)/52) and (472/40)/(2*s).
10
Let h = 11 + -10. Calculate the common denominator of 146/h*3/12 and 27/10.
10
Suppose 0 = -4*y - y - 500. Let t = y + 55. Let c = -516/77 + 31/7. Find the common denominator of t and c.
11
Suppose -c + 3 = 2*c. Let g be ((-2)/(-20))/(c/(-14)). Let k = 79/35 + g. Calculate the common denominator of k and -56/5.
35
What is the common denominator of -113/20 and 41/(-2) - (3 - 5)?
20
Let n(l) = -l + 1. Let q be n(-1). Suppose 0 = -2*y - i - i - q, 0 = 2*y - 2*i + 22. Let j = -2 - y. Calculate the smallest common multiple of 2 and j.
4
Let w be (-2)/4 - 25/2. Let s = 79/6 + w. Find the common denominator of s and 81/26.
78
Let m = 3 + 12. What is the smallest common multiple of 36 and m?
180
Let f be 6/(-8)*(-8)/(-2). Let t be (667/3 + 1)*f. Let n = t - -4009/6. Find the common denominator of 61/5 and n.
30
Let g = -6546 - -117961/18. Find the common denominator of g and -5/2.
18
Suppose 2*l - 3*d = 37 + 3, 0 = -5*l + 4*d + 86. What is the least common multiple of 7 and l?
14
What is the common denominator of 103/10 and (-505)/(-4)*14/105?
30
Let p = -2/2397 - 16703/91086. Find the common denominator of -19/6 and p.
114
Let a(h) = -7*h**2 + h + 1. Let c be a(-1). Let z = 0 - c. Suppose -2*d - 30 = -4*i - 4*d, -16 = -2*i - 2*d. Calculate the least common multiple of z and i.
7
Let f(a) = -a**3 - 3*a**2 + 5*a - 4. Let o be f(-5). Suppose 0*t - 3*t = o. Let p(g) = -2*g - 9. Calculate the least common multiple of 7 and p(t).
35
Let o be 4/(-1) - (-6)/(-3). Let b = o - -5. Calculate the smallest common multiple of 9 and b*(1 - -1)/(-2).
9
Let i(t) = t**3 + 12*t**2 + 11*t + 12. Suppose 2*w - 6 = 3*w + 5*y, -5*y = -5. Let l = -4 + 8. Calculate the smallest common multiple of i(w) and l.
12
Let r = 31 + -19. Calculate the common denominator of -43/8 and (1/(-7))/(r/14).
24
Let u(q) = -q**2 - 39. Let y be u(0). Suppose -p = 4*p - 295. Let r = p + y. What is the smallest common multiple of r and 10?
20
Suppose 0 = 2*s + 4*x + 52, -63 = -0*s + 3*s + x. Let d = s - -33. Find the common denominator of -45/2 and d/6*(-36)/32.
16
What is the common denominator of -9/5 and 2 + -85*(-3)/(-18)?
30
Let w = -45640/2013 - -4/671. Calculate the common denominator of -14/3 and w.
3
Find the common denominator of (6/8 - 0) + (-9083)/4836 and -47/45.
585
Suppose 1 + 83 = -4*b. Calculate the common denominator of (-4)/8 + (-60)/(-14) and b/(-28) + 61/12.
42
Suppose -4*y = -7 - 5. Suppose y*v + 0*v - 30 = 0. Suppose t - 3*c = 21 + 7, 4*t = -5*c + 78. What is the lowest common multiple of v and t?
110
Suppose -28 = -4*c - 5*u, 0 = 2*u - 5*u + 12. Find the common denominator of (-1)/c - 22/36 and (-2)/(18/(-146)*-2).
9
Suppose -2 = j - 5*b, 0 = 9*j - 4*j + b - 94. Suppose -i + 7 = -d, 3*i + 3*d - 39 = i. Calculate the lowest common multiple of i a