k - 45. Let f be g(0). Let w = -676/15 - f. What is the common denominator of -43/8 and w?
120
Let t be 4/18 - 80/36. Let q = 29/165 + -4351/660. What is the common denominator of t/4 - (-565)/(-120) and q?
24
Let w(x) = -x**3 - 3*x**2 - 2*x + 3. Let s be w(-3). Suppose -g = -z + 1, -3 = -4*g + s. What is the common denominator of 78/(-108)*66/z and 59/5?
60
Let g be 1/6 - (-80994)/5112. Let s = g - -88/71. Let w = 3968 - 23887/6. What is the common denominator of s and w?
12
Find the common denominator of 9/(-15) - 393/70 and 4/(-18) + 1113/(-216).
56
What is the common denominator of 40/6 + (-20)/4 and -139/60?
60
Let s(c) = 4*c + 36. Let l be s(17). Calculate the common denominator of 83/22 and (-5 - -8 - 375/l)*4.
286
Let t = 175747/158800 + -1/19056. Find the common denominator of 49/125 and t.
375
Let d(j) = j**2 + 4*j + 3. Let b be d(-1). Suppose -3 = -3*u, 0 = i - b*i + u - 9. Let o(x) = -x + 3. What is the least common multiple of o(-5) and i?
8
Suppose 3*n + 4*p - 4 = -2, -4*p = -n + 6. Find the common denominator of 3*n/(-3) + (-54)/(-174) and -7/5.
145
Suppose -424 + 392 = -4*g. Calculate the smallest common multiple of g and 48.
48
Let z(x) = 1 + 2*x**2 - x - 3*x**2 + 0*x + 10*x**3 + 2*x. Let k be z(-1). What is the common denominator of ((-1)/k)/((-1)/(-51)) and 62/9?
99
Suppose -24 = 3*i - 5*i. Suppose -4*t + 10 - 2 = 2*h, -i = -3*h + 3*t. What is the smallest common multiple of h and 14?
28
Let n = -189 - -269. Calculate the smallest common multiple of n/6*(-21)/(-14) and 20.
20
Calculate the lowest common multiple of 10 and (60/25)/(6/40).
80
Let l = -62 + 62. Suppose 4*z - n - 28 = l, 0*n + 4*n = -2*z - 4. What is the lowest common multiple of z and 8?
24
Let p(l) = -l**3 - 2*l**2 + 2*l + 3. Let f be p(0). Let m(o) = o + 19. What is the lowest common multiple of 22 and m(f)?
22
Let i(p) = -31*p - 157. What is the smallest common multiple of 8 and i(-9)?
488
Let s = 517 + -876. Let c = s + 217. What is the common denominator of 121/10 and ((-1)/(-2))/((-2)/c)?
10
Let o = 249001/185047482 - 1/61498. Let v = -10283/6980880 + o. Let d = 372371/76560 + v. Find the common denominator of d and 85/14.
154
Suppose -2*n = y + 15, 2*n - 4 = -3*y - 25. Let p be (-12)/8 + 15/n. What is the least common multiple of p/22 + (-720)/(-88) and 8?
8
Let k(s) = s**2 + 9*s - 24. Let v be k(-11). Find the common denominator of 160/(-28) + 1/v and 79/4.
28
Let p(q) = -q + 2849. Let s be p(0). Let f = -39923/14 + s. Calculate the common denominator of f and (2/(-2))/((-36)/(-606)).
42
Suppose -25 = -2*d - 2*u - 5, 0 = 5*d + u - 50. Let v be (-29)/(-9) + (-4)/18. Let k(h) = h + 7. Calculate the lowest common multiple of k(v) and d.
10
Let n = -706/1629 - 2/181. What is the common denominator of n and 85/4?
36
What is the common denominator of (-79)/(-22) + 2/(-1) and -3 - (246/28 - 4/14)?
22
Calculate the smallest common multiple of 20 and (-18)/33 + 226/11.
20
Suppose 55*l = 50*l - 5*u + 1130, 0 = -3*l - 2*u + 683. Calculate the smallest common multiple of 9 and l.
693
Let l = -16315 + 34783/2. Let k = 1101 - l. What is the common denominator of -59/22 and k?
22
Suppose -9*p + 33 = -21. Calculate the least common multiple of p and 770.
2310
Let y be 6*(-2 - (-5)/2). Suppose 0 = -o + 2*q + 11, -o + y*q = -5 - 7. Calculate the smallest common multiple of 22 and o.
198
Suppose 8*l - 54 = 1722. Calculate the smallest common multiple of 4 and l/42 + 4/(-14).
20
Let a = 6/50249855 - -73190371052659/5326484630. Let x = -13740 + a. Find the common denominator of -15/7 and x.
742
Suppose 192 = -5*d - v, v = 3*d - 4 + 124. Find the common denominator of 13/d + (-73)/(-30) and -91/60.
60
Let m = -299772463/3647 - -82197. Let t = -484979/65646 + m. Find the common denominator of -109/12 and t.
36
Calculate the common denominator of -88 + 89 - 38/(-42) and 52/21.
21
Let y(w) = 5*w**3 - w**2 - 6*w + 6. Let h be y(3). Calculate the least common multiple of h/8 + (-18)/72 and 2.
14
Let w(u) = 129*u + 140. Calculate the lowest common multiple of w(3) and 155.
2635
Let y(h) = -23*h - 93. Calculate the lowest common multiple of 38 and y(-9).
114
Let c = 32348 - 67465/2. Let p = -1428 - c. Calculate the common denominator of p and -47/20.
20
Let g(a) = a**2 - 6*a - 7. Let b be g(9). Let w = 36 - b. Calculate the least common multiple of w and 1/(2/(2*6)).
48
Let j(k) = 23*k**3 + 2*k**2 - 1. Let g be j(1). Suppose 6*i = g + 18. Calculate the lowest common multiple of 8 and i.
56
Find the common denominator of (-27)/(-36) - 34/24 and -20/3.
3
Let m(b) = 3 - 27*b + b - 1. Let g be m(1). Find the common denominator of 2/(-4) - 266/g and -29/14.
84
Let m = -11 + 5. What is the lowest common multiple of 10 and (-37)/(-2) - (-3)/m?
90
Let o = 2/5399 - -248348/16197. Find the common denominator of o and 145/204.
204
Suppose 4*u + 40 = 5*w, 0 = -0*u + u + 5*w + 10. What is the common denominator of ((-4)/((-20)/(-395)))/u and -25/2?
10
Let p be (-6)/15*30/(-1688). Let l = 32/4592221 + -126005992531/5813751786. Let j = l + p. What is the common denominator of 19/8 and j?
24
What is the common denominator of (-4)/(-5)*(-2021)/(-344) and -44/125?
250
What is the common denominator of 434/392 - (3/2 - 2) and -67/8?
56
Let q(i) = 3*i - 7. Let a be q(3). Suppose 18 = -3*c + a*c. Let p = c - -24. What is the smallest common multiple of 10 and p?
30
Let i be (-65836)/(-50112) + (-2)/(-4). Let k = i - 1/783. Calculate the common denominator of 63/(-10) + -2 + 1 and k.
80
Let v(t) = t**3 + 5*t**2 - 8*t - 12. Let m be v(-6). Calculate the lowest common multiple of 16 and ((-852)/(-33) - m) + (-10)/(-55).
208
Let n = 28 + -53. Let s be (-144)/(-5) - 5/n. Suppose 0*g - 21 = -g - 3*m, 4*m = 5*g - s. Calculate the lowest common multiple of 3 and g.
9
What is the common denominator of -4/9 and (-3)/(-3) - (-545)/(-2250)*5?
90
Suppose -2*s = -5*i + 51, -4 = -s - s. Suppose -12*h - 10 = -70. Calculate the smallest common multiple of h and i.
55
Let u(y) = -y - 1. Let n be u(-5). Suppose -2 = -r + n*t + 30, 0 = -2*t - 6. Calculate the least common multiple of r and 10.
20
Let y = -13 - -19. Calculate the smallest common multiple of 6 and (9/y)/(3/4).
6
Let s = 2105111/7201599 - -3/78706. Find the common denominator of 13/12 and s.
732
Let h = 53 - 6. Let x be -4*2*20/(-16). Suppose 0 = 2*k - 5*j - h, -4*j + 26 = 3*k - x. Calculate the least common multiple of 18 and k.
144
Let a be (90/27)/((-4)/(-6)). Let d(n) = n**3 - 4*n**2 + 2*n. Let w be d(a). Suppose 4*k + k = -w. Calculate the common denominator of k and -12/7.
7
Calculate the common denominator of (1/(-3))/(24/(-14) - -2) and (61/3)/(6/(-4)*2).
18
Let q = 6 - -11. Let j(m) = 6*m - 2. Let u be j(5). Let z = u - q. What is the lowest common multiple of z and 10?
110
Suppose -6*b - 12 = -3*b. Calculate the lowest common multiple of 110/9 + b/18 and 15/((-15)/(-4) + 6 + -9).
60
Let o be 3/5 - (-7)/5. Let p be -6 + (o - (-3)/(-1)). Calculate the common denominator of 63/4 and 4/p - (-1292)/252.
36
Let p be (24/(-6) + 2)/(2/(-39)). Let t = p - 15. Calculate the least common multiple of 32 and t.
96
Let v = 46 + -32. Let b(k) = 22*k. Let r be b(1). Let i = -14 + r. Calculate the lowest common multiple of v and i.
56
Calculate the common denominator of (-3)/(-24) + 3 + (-385)/72 and -29/146.
1314
Let s = 3/298 + -19379/894. Calculate the common denominator of s and -19/74.
222
Let m = 88 + -79. Suppose 12*n - 6 = m*n. What is the least common multiple of n and 24?
24
Let b(t) = 8*t - 49. Let n be b(7). Suppose n + 70 = 5*k + d, 3*k - 47 = -d. Calculate the lowest common multiple of 30 and k.
30
Let j = 95 + -22. Let d = j + -51. Calculate the smallest common multiple of d and 2.
22
Suppose 2*k - g = -5 + 21, 6 = -3*g. Suppose -o = -5 - k. Suppose -w = -2*d - d + 26, 2*d - w = 16. What is the lowest common multiple of d and o?
60
Suppose -s = 503 - 745. What is the least common multiple of s and 154?
1694
Suppose 0*j - 4*v = 3*j - 13, 2*v = 2. Suppose -a + 28 = l + l, j*a - 4*l = 84. Calculate the smallest common multiple of a and 24.
168
Let c be (-2)/(-5) + (-86)/(-10). Suppose c = -2*p + 5. Find the common denominator of p/(1 - 129/89) and -143/36.
180
Let z(x) = 2*x**2 - 11*x + 9. Let m = -54 + 6. Calculate the common denominator of m and 