83/315. Let q = u + -1313/210. Find the common denominator of q and -19/6.
18
Let i = -10256692/189 - -54268. What is the common denominator of i and 23/216?
1512
Suppose 0 = 4*n - 0*q - 2*q - 92, 5*q = 4*n - 80. Suppose 0 = v + 24 + n. Let p = v - -77. What is the least common multiple of 8 and p?
56
Let z = -621 + 103. Let y = 997/2 + z. Calculate the common denominator of y and 13/6.
6
Let l = -2135399/90 + 23727. What is the common denominator of l and 7/150?
450
Let v = 3 - 1. What is the common denominator of 1/(-1) + 26/(-7) and (v + 2)/4 + 6?
7
What is the lowest common multiple of (4/(-3))/(156/(-18) - -8) and 27?
54
Let k = -114423/896632 + -17/3544. Find the common denominator of 95/34 and k.
8602
Let j be (-2)/2*5/(31770/4). Let b = -187447/6354 - j. Find the common denominator of b and -59/6.
6
Suppose 10*c - 820 + 780 = 0. Calculate the least common multiple of c and 5.
20
Let v(d) = 8*d**3 + d + 1. Suppose 12 = 3*c - 5*w, -4*c + 0*w = 2*w + 10. Let b be v(c). What is the common denominator of (-1382)/(-112) - b/28 and 107/12?
24
Let h = -229237/10540 - 2/2635. Let t = 17119/353 + 3/706. Calculate the common denominator of t and h.
4
Let o be (-15844)/3600 - (-3 - (-18)/8). Let s = -76/25 - o. Find the common denominator of s and 5/24.
72
Let c be 12302/7 + 1/2. Let t(k) = -610*k - 73. Let q be t(-3). Let v = q - c. Calculate the common denominator of v and 7/4.
28
Let q = 9871 - 118573/12. What is the common denominator of q and -101/838?
5028
Calculate the common denominator of ((-306)/96 - -4)/((-11)/(-55)) and (-2)/3 - 482/(-228).
304
Let s(f) = -13*f**2 - 4*f + 6. Let d be s(8). Let b = d + 6821/8. Calculate the common denominator of b and -2 - (-71)/(-3)*(-9)/(-30).
40
Let d be 3496881 + -3*(5 - 4). Let k = 1636550561/468 - d. Let f = 836/39 - k. What is the common denominator of -87/8 and f?
72
Find the common denominator of -53/7 and -4 - (2 + (-2705)/630) - -3.
126
Let v be (20 - 4)*((-22)/(-8) + 1). Suppose m + 3*m = v. What is the lowest common multiple of 9 and m?
45
Suppose -3*z + 5*n + 900 = 0, -n - 2*n - 894 = -3*z. What is the common denominator of 31/11 and z/(-20)*1/2?
88
Let t = -239055239/14 - -17067413. Let p = -7955 - t. Find the common denominator of -109/20 and p.
140
Suppose -5*k - 15703 = -4*d, 0 = -0*k + k - 5*d + 3128. Let o = 37625/12 + k. Calculate the common denominator of 89/64 and o.
192
Let w(y) = -y**2 - 7*y + 10. Calculate the least common multiple of 10 and w(-8).
10
Find the common denominator of (6/8)/((-9)/(-46)) and -6 + 1 + 1038/198.
66
Let q = 15/239 + 21479/4302. Let g = 50823/11810 + -4/1181. Calculate the common denominator of g and q.
90
Let f(v) = 3*v - 3*v + 2*v - 3*v. Let n be f(0). Suppose n = -4*p - 0 + 24. What is the lowest common multiple of p and 6?
6
Suppose g = 3 + 1. Let f = 7 + g. Suppose 96 = -4*u + 12*u. What is the lowest common multiple of f and u?
132
Let h = 25470 + -3362015/132. Find the common denominator of -76/3 and h.
132
Let i be 2*(-3)/(-2) + 2. Let g(v) = v**2 - v - 5. Let x be g(i). Suppose -8 = a - x. Calculate the smallest common multiple of 11 and a.
77
Let c(j) = -8*j + 39. What is the common denominator of c(11) and 29/15?
15
Let k(m) = 22 - 18*m - 3*m**3 + 4*m**3 - 12*m**2 - 7*m**2. Calculate the least common multiple of 20 and k(20).
620
Suppose -4*q = z - 198, 0*z + 2*z - q = 378. Let p = -2995/66 - -287/6. What is the common denominator of p and z/(-6)*(-3)/(-2)?
22
Let i = 651171/88 - 7400. Find the common denominator of -37/216 and i.
2376
Let o(v) = -130 + v**2 - v**3 + 266 - v - 122. Calculate the smallest common multiple of 2 and o(0).
14
Suppose -10 = 2*l + 3*l. Let f = 2 + l. Suppose f = -5*w + 112 - 12. Calculate the lowest common multiple of w and 10.
20
Let f be (2 + 6/(-4))*-2. Let b = -11005 + 176005/16. What is the common denominator of b and (-50)/(-8) + (-4 - f)?
16
Let p be (-4 + (-560)/(-147))/(11652/(-14)). Let g = 550517/174780 + p. Find the common denominator of -119/6 and g.
60
Let a = -3268423/6 - -539984. Let g = a - -4766. Find the common denominator of (-808)/192*(-2 + 4) and g.
12
Suppose -10*u + 29 = -11. Suppose -16 = -4*z - f + 2, u*z + 5*f - 10 = 0. What is the lowest common multiple of z and 21?
105
Let u be (180/16)/((-2)/8). Calculate the least common multiple of 9 and (u/12)/((-12)/32).
90
Let h = -17 + 30. Let f = 15 - h. Calculate the smallest common multiple of f and 18.
18
What is the smallest common multiple of 2332/26 - (-84)/273 and 9?
90
Suppose 10 = x - y, 46 = 2*x + 3*x - 3*y. Let u(p) = p**3 - 7*p**2 - 6*p - 6. Let l be u(x). Let g = l + -3. What is the least common multiple of g and 4?
28
Let g = 4796/5 + -37993/40. What is the common denominator of -65/126 and g?
504
Let i be 1290/1855 + (-2)/(-7). Let z = i + -2909/318. Calculate the common denominator of -73/3 and z.
6
Let p be (25/(-2))/((-2)/724). Let c be 0 - -1 - 4535/p. Let a = c - -24451/7240. Find the common denominator of -103/18 and a.
72
Let k(w) = -139*w**3 + 10*w**2 + 11*w. Calculate the smallest common multiple of 2 and k(-1).
138
Suppose -2*t + 21 = 5*t. Suppose 0 = 4*o + 5*n + 22, -t*n - 1 = -o - 15. Calculate the lowest common multiple of 9 and (o/(-20))/((-2)/(-10)).
18
Let z(x) be the first derivative of -2*x**2 + 32*x + 42. What is the lowest common multiple of z(4) and 32?
32
Let g = 2320109/48 + -48338. Find the common denominator of 93/88 and g.
528
Let k be ((-8)/(-10))/(2/5). Let x be 83/k + (-2)/(-4). Find the common denominator of (x/8)/(7/(-42)) and -53/3.
6
Let y(h) = 45*h**2 - 1710*h + 20. Calculate the least common multiple of 2/4 + (-55)/(-2) and y(38).
140
Let w(m) = m**2 - 3*m + 3. Let d(z) = z. Let v(o) = 2*d(o) + w(o). Calculate the least common multiple of 9 and v(0).
9
Suppose -2*a + 4*m = -12, 2*a + 0*m + m = 2. Suppose 5*f + 3 = -2*y - a*y, f - 6 = -3*y. What is the smallest common multiple of 4/(-6)*(-6 - f) and 6?
6
Suppose 381 = -3*f + 3*v, 2*v + 387 = -3*f + 3*v. What is the common denominator of 79/24 and ((-15)/(-75))/(16/f)?
24
Suppose 3*u = 2*m + 10000, -8461 = -4*u + 4*m + 4871. Let o = 22273814/11 + -2028230. Let w = u + o. What is the common denominator of w and -109/10?
110
Let c(h) = h**3 - 24*h**2 + 64*h - 19. Calculate the least common multiple of 9 and c(21).
18
Let p = 29474 + -1709555/58. What is the common denominator of 67/4 and p?
116
Let y = -18448 + 700951/38. What is the common denominator of (3/(-5))/(28/270) and y?
266
Let u(y) = y**2 + 26*y + 148. Calculate the smallest common multiple of u(-18) and (-3)/((-27)/(-10) - 3).
20
Let l be ((-279703)/(-70596))/(4/(-8)). Let f = l + -40/1961. Find the common denominator of ((-195)/80)/(9/3) and f.
144
Calculate the common denominator of -48/5 and 584/960 - (-10)/(-75).
40
Suppose -22 = 5*k - 2. Let i be (k - -3)/(2/2). Let w = 23 + i. Calculate the smallest common multiple of 14 and w.
154
Suppose -3*v = v + 72. Let s be (v/12)/(2/(-24)). Find the common denominator of 61/20 and s/240*(35 + 1).
20
Let f = 15 - 23. Let v(z) = z**2 + 8*z + 4. Let r be v(f). Suppose r*b = -4*y, 3*y - 5*b + 8 = 40. Calculate the lowest common multiple of 4 and y.
4
Suppose 20*t = 16*t + 668. Suppose -4*p - t = 493. Calculate the common denominator of 0 - 3 - p/12 and -59/2.
4
Suppose 3*k + l - 58 = 0, 0 = -5*k + 5*l + 102 + 8. Calculate the lowest common multiple of 50 and k.
100
Suppose f + 2*f = -3*x - 9, 0 = -4*x + 4*f - 36. Find the common denominator of (-436)/220 - x/(-30) and 58/7.
77
Suppose -15*k - 1370 = -20*k. Suppose f = 3*q - 2609, -3*f - 1149 + k = -q. Let a = 3449/4 - q. Find the common denominator of -57/5 and a.
20
Let a(z) = -z**3 + 19*z**2 + 2*z - 8. Let u be a(19). Suppose 15*h - u = 12*h. What is the smallest common multiple of 8 and h?
40
What is the common denominator of -17/160 and 4/18 + ((-34840)/(-4608))/(-13)?
320
Let u be (-41895)/(-20) + (1 - -1). Let b = u + -2119. Calculate the common denominator of 52/17 and b.
68
Let z = 40 - 43. Calculate the common denominator of (2/8 - (-26)/32)*z and (6/(-10))/(28/(-10)).
112
Calculate the common denominator of (-308)/(-1386) - 311/36 and -5/4066.
24396
What is the common denominator of (-10)/(-16)*3540/2250 and -27/20?
60
Let c = 2482 - 44711/18. Calculate the common denominator of 13