the common denominator of (-317)/(-80) - (-3)/c and -19/14.
112
Suppose -3*q + 12 = 3*w, w = -0*w - 5*q + 4. What is the lowest common multiple of -1 + 12/(0 + w) and 4?
4
Let s = -109 - -119. What is the lowest common multiple of 58 and s?
290
Suppose 5*a = 31 - 11. Let x = 2 + 0. Suppose -4*s - 22 = -3*l - 2*s, 5*l - x*s - 34 = 0. What is the lowest common multiple of a and l?
12
Find the common denominator of (-4)/(-84)*53 + -4 and 46/9.
63
Let d = 86669/10614 + 2/1769. Let h = -491/26 + 564/13. What is the common denominator of d and h?
6
Let x = 4894/777 - 10/777. What is the common denominator of -31/2 and x?
14
Suppose -3*h = 3*h - 54. Calculate the smallest common multiple of h and 11.
99
Let n = -47 + 83. Suppose -n + 9 = -3*g. Suppose -q + a + 3 = -g, 5*q = a + 48. Calculate the smallest common multiple of q and 2.
18
Let q = 175 + -125. What is the least common multiple of q and 4?
100
Suppose 5*a = 2*q + 55, -4*a + 0*q = -2*q - 46. Calculate the smallest common multiple of a and 2 + (6 - 1) + -1.
18
Suppose -90 - 50 = -5*a. Calculate the common denominator of -36/5 and (-206)/84 + 8/a.
30
Find the common denominator of (-235)/24 - (-10)/(-45)*-3 and 53/46.
184
Suppose 2*c - 40 + 0 = 0. Let x = 4 + -1. Suppose 0 = x*r - 4*t - 56 - 4, 5*r - 92 = 4*t. What is the lowest common multiple of r and c?
80
Calculate the common denominator of -36*-3*(-2)/(-40) and 35/3.
15
Let c(h) = -h - 1. Let b be c(-3). What is the common denominator of 50/9 and (b/(-4))/((-2)/122)?
18
Suppose m = q - 24, -q - 2*m + 6 = -6. What is the least common multiple of 20 and q?
20
Suppose 36 = -4*d + 4. Calculate the lowest common multiple of 8 and (-6)/d + 132/16.
72
Suppose -l - 15 = -4*l. Calculate the lowest common multiple of 4 and l.
20
Suppose 4*h = -4*l + 8, 4*l - 2*h = 3*h - 37. Let s be 14 + -18 + (-18)/2. Let i = l - s. Calculate the smallest common multiple of 4 and i.
20
Suppose -4*t = -4 + 24. Let q = -3 - t. Calculate the lowest common multiple of 11 and q.
22
Suppose -5*h + 2*m + 0*m + 18 = 0, 3 = h - m. What is the lowest common multiple of h and (-392)/(-18) + (-4)/(-18)?
44
Let z = 3/836 - 2587/836. What is the common denominator of (-27)/4 + 8/24*-6 and z?
44
Let l = 2 + -1. Let c(s) = s**3 + s**2 - s. Calculate the least common multiple of l and c(2).
10
Find the common denominator of -57/14 and ((-372)/(-88) + -1)*1.
154
Let j(y) = -y**3 - 5*y**2 + 3*y - 5. Let o be j(8). Let h be o/(-9) - (-1)/(-3). Suppose -4*d + h - 18 = 0. Calculate the least common multiple of 16 and d.
144
Let i = -2006/3 + 650. Calculate the common denominator of i and -121/6.
6
What is the common denominator of 92/3*2/192*1 and 137/12?
72
Let m = -5/11 + 1099/22. Calculate the common denominator of m and 53/94.
94
Let y(h) = -h**3 + 8*h**2 - 10*h + 2. Let p be y(8). Let s = -56 - p. Calculate the smallest common multiple of s and 2.
22
Let d = 1/925 + 76767/7400. Find the common denominator of -67/33 and d.
264
Suppose x - 3*g - 144 + 2 = 0, -3*x - g = -426. Let r be (4/10)/(6/(-30)). Calculate the common denominator of 40/9 and -3 + x/4 + r.
18
Suppose -u + 4*u - 18 = 0. What is the least common multiple of 12 and u?
12
Let v = 11 + -18. What is the common denominator of (-47)/3*(-6 - v) and -32/11?
33
Let f = -2677/170 - -470/17. What is the common denominator of -67/21 and f?
210
Let u = -7283400 - -218482429/30. Let x be (-8 - -1)*(-284)/(-3). Let q = x - u. Calculate the common denominator of 101/16 and q.
80
Suppose 3*r + 9 = 3*w - 2*w, -2*r - 23 = 5*w. What is the common denominator of -67/12 and w/(7/(21/60))?
60
Let u = 4566 - 50280/11. Let i = -518/5 - -113. Find the common denominator of i and u.
55
What is the common denominator of 3/32*(-450)/(-9) and -95/14?
112
Let y = 2782/879 - -1/586. What is the common denominator of ((-97)/10)/(-1) + 0 and y?
30
Let t = -330 + 17503. Let z = t - 343343/20. Let h = -55041/16 - -3439. Find the common denominator of z and h.
80
Let t = 4001/9 - 447. What is the common denominator of t and -14/23?
207
Let z = 0 + 5. Suppose z*o - 7 = -f, 0 = -8*f + 4*f + 5*o + 28. Calculate the common denominator of f/14*(-58)/(-4) and 103/6.
12
Find the common denominator of (-2 - 123)*2/(-55) and 17/10.
110
Let r(k) = k**3 + 4*k**2 - 7*k - 6. Calculate the lowest common multiple of 6 and r(-5).
12
Let u = 19 - 11. What is the smallest common multiple of u and 2?
8
Suppose -2*r - 28 = -4*r. Suppose -4*l + r + 22 = 0. What is the least common multiple of 6 and l?
18
Suppose 4*f - 2 = 2. Let t = f + 3. Let b = 6 + 4. Calculate the lowest common multiple of b and t.
20
Suppose -5*j - 19145 = 300. Let r = -17994449/18 + 1003574. Let c = j + r. Find the common denominator of c and -21/2.
18
Let j = 163743/22 - 7441. What is the common denominator of j and (-8)/14 - 3670/(-420)?
66
Let l be ((-3)/(-96))/((-1)/(-92122)). Let n = -2883 + l. What is the common denominator of -61/14 and n?
112
Suppose -4 = 15*d - 79. Suppose 5*n + 0*n - 40 = 0. Calculate the lowest common multiple of d and n.
40
What is the common denominator of 17/20 and (-55)/4 + 40/30?
60
Let o(h) = h**3 - 5*h**2 - h + 2. Let b be o(5). Calculate the smallest common multiple of 14 and 3 - 2 - 57/b.
140
Let p = -192 + 1563/8. Find the common denominator of 44/17 and p.
136
Let u(v) = 15*v + 1. Let l be 4 + (3 + -1)/(-2). Suppose 2*w + 6 = 0, a - l = -w - 2*w. Calculate the smallest common multiple of a and u(1).
48
Suppose c - 8*c = -147. Calculate the lowest common multiple of 48 and c.
336
Suppose -30 = 6*o - 9*o. Let m = o + -2. Calculate the smallest common multiple of m and 22.
88
Let y = 50 - 46. Calculate the smallest common multiple of 12 and y.
12
What is the common denominator of -89/15 and (8/(-24))/(77/(-37) - -2)?
45
Let b = 7 + -5. What is the lowest common multiple of 4 and b?
4
Let q be (-3)/((-120)/(-232388)) - -4. Let c(z) = 967*z - 1. Let s be c(6). Let y = q + s. Find the common denominator of 37/18 and y.
90
Let a = 10939019/41393 + -2907/11. Let f = 48941/41393 + a. Calculate the common denominator of -41/6 and f.
66
Suppose 0 = 13*w - 0*w - 39. What is the lowest common multiple of 14 and w?
42
Suppose 3*t + 37 = 2*c, 3*t = -0*t + 3. What is the lowest common multiple of 4 and c?
20
Calculate the common denominator of (17/(-2) + -1)*40/(-56) and 77/16.
112
Let u(m) = 3*m. Let v be u(5). Let w be (185/v)/((-2)/(-6)). What is the common denominator of -1 - -3 - w/(-12) and -89/4?
12
Let k = 4453 + -26777/6. Calculate the common denominator of k and -16.
6
Calculate the smallest common multiple of 12 and (-4 - -2)*(-56)/8.
84
Let k be -3*(2 + (1 - 2)). Calculate the smallest common multiple of (12*-1)/(k/2) and 13 + 0 + 5 + -2.
16
Let j = 49 - 24. Suppose 0*n - n - j = -5*s, 1 = -4*s + 5*n. Suppose -4*h + 10 + 6 = 0. What is the smallest common multiple of h and s?
12
Let l = 8/291173 + 10582682597/3202903. Let o = l + -3307. What is the common denominator of 89/2 and o?
22
Let d(i) = -i**2 + 6*i - 8. Let m be d(6). Let x be 1/m*898*1. Let r = x + 811/8. What is the common denominator of r and 51/5?
40
Let y(z) be the second derivative of -z**3/6 + 3*z**2 - z. What is the smallest common multiple of 12 and y(-8)?
84
Let w be 2*(1 + -1 + 1). Let s(x) = 3*x**3 - x**2 - 2*x + 2. Let z = 6 + 6. Calculate the lowest common multiple of z and s(w).
36
Suppose 0 = 5*p - 4*v - 112, 3*p + 3*v + 15 = 66. Calculate the least common multiple of 22 and p.
220
Calculate the common denominator of (-8)/(-24) - (-89)/(-132) and -83/20.
220
Let d(v) = -v**2 + 5*v + 4. Let i = -1 + 6. What is the smallest common multiple of d(i) and 2?
4
Suppose -2*a - 4*g = 12, 6*a - 5 = a - 3*g. Let z = a + 7. Suppose 40 = 5*d + 5*r, 5*d + r = 55 - z. Calculate the lowest common multiple of 6 and d.
18
Let v = 1525/116 - -32/29. Let y = -15 + 8. What is the common denominator of 3 - ((-25)/y + -1) and v?
28
Suppose -2*x + 6 = 0, -2*k - 2*x = -4 - 18. Calculate the lowest common multiple of k and 18.
72
Let t(g) = 8*g + 1. Let a be (-1)/6 + 2/12. Suppose a*o + 54 = 6*o. What is the least common multiple of o and t(1)?
9
Let r(o) = o**2 + 2*o + 10. What is the least common multiple of 2 and r(0)?
10
Let a = -116 + 149. Calculate the least common multiple of 24 and a.
264
Suppose -4*u =