Let k be (-1709046)/118665 + (0 - -2). Let z = -2/879 - k. What is the common denominator of 103/34 and z?
170
Let w = -94582/21 + 4503. Calculate the common denominator of w and 73/24.
168
Suppose 5*p = -4*s - 3, 2*p - 18*s + 19*s = 0. Calculate the smallest common multiple of 2 and p.
2
Let r(t) = 4*t**2 - 7*t - 8. Let k be r(4). What is the common denominator of (7 - 161/k)*(-44)/21 and 131/12?
84
Let l(i) = -i**2 + 7*i + 4. Suppose -9*j = -7*j - 10. What is the smallest common multiple of 2 and l(j)?
14
Suppose z = -4*z + 90. Let d be (-423)/(-6)*(-39)/z. Let l = d + 425/4. Find the common denominator of 4/7 and l.
14
Let a be (-1)/(-2) - (-85)/34. Suppose r - a = 13. Calculate the lowest common multiple of 16 and r.
16
Let n = -865 - -1473. What is the common denominator of 23/30 and n/(-60) + 5 - -3?
30
Let n = 108179/28 - 3862. Find the common denominator of (-12)/18*705/(-160) and n.
112
Let p be (-4)/8 - (-142)/(-4). Find the common denominator of 0 + ((-58)/44 - 1) and -3 + 2 + (-285)/p.
132
Let b be 527/18*(-3 - 0). Let z = -88 - b. Let o = -430/7 - -4031/63. Calculate the common denominator of z and o.
18
Let g be (21/14)/((-1)/(-2)). Let s be (3/(-6))/(g/(-6)). Suppose -2 = -l + s. Calculate the smallest common multiple of 8 and l.
24
Let h(l) = -l**2 - 11*l + 12. Let j be (-128)/13 - 2/13. Calculate the lowest common multiple of h(j) and 2 + 32/2 - -2.
220
Suppose 0 = 4*i - 10*i + 114. Calculate the least common multiple of i and 7.
133
Let p(a) = -a**3 - 2*a**2 + 4*a + 13. Let c(g) = g**2 + g - 2. Calculate the lowest common multiple of p(-3) and c(-3).
20
Let b be ((-18)/21)/(2/14). Let g = -4 - b. Calculate the least common multiple of g and 9.
18
Let i = -1/1469 + -69039/5876. Let g = 4705193/6 - 786008. Let x = -1819 - g. What is the common denominator of i and x?
12
Suppose -4*h = -i - 12, 0 = -2*i + 9 - 1. Let j be (-3893)/10 - (h - 5). Let z = 388 + j. Calculate the common denominator of z and 23/16.
80
Calculate the lowest common multiple of (7/4)/(1/16) and 6 - (-35)/(-3) - -6 - (-306)/54.
84
Suppose -v + 27 - 7 = 5*d, -v = 4*d - 20. Suppose 4 = 2*c, p + 4*p - 28 = c. What is the smallest common multiple of p and v?
60
Suppose -2*b + 1 + 7 = 0. Suppose -5 = v - 4. Let s(y) = -15*y - 3. What is the least common multiple of b and s(v)?
12
Let n = 2/8823 + -423518/61761. Suppose 11*t - 8*t - 108 = 0. Find the common denominator of n and (-109)/t + 4/16.
63
Let a = -1 - -9. Let c be ((-1)/2)/(2/(-4)). Suppose 21 = w - c. What is the smallest common multiple of a and w?
88
Let g = 32 - 29. Suppose g*h + s = 11 + 29, -s = 5*h - 68. What is the least common multiple of h and 18?
126
Let v be -3 + (-1 - -11) + -4. Let u be (-132)/10*(-5)/1. Suppose 0*x = -v*x + u. Calculate the lowest common multiple of x and 6.
66
Let h = 60 + -105. Let x = h - -77. What is the least common multiple of x and 24?
96
Let b = -46 - -50. Suppose 3*g - b*v - 25 = 0, 0*g + v + 40 = 3*g. Calculate the lowest common multiple of 12 and g.
60
Let t be (3*-7)/((-2)/(-100)). What is the common denominator of -107/10 and (-1360)/t + 4/7?
30
Let s be ((-20)/15)/(4/6). Let a(n) = -2*n**3 - n**2 - n - 2. Let y be a(s). Let u = 18 - y. Calculate the lowest common multiple of u and 8.
24
Let l = -3491/2266 + -1/206. Let b = -2181/8 + 266. Let x = -25/8 + b. Find the common denominator of x and l.
44
Suppose 4*i = 2*i + 6. Suppose -20*a = -19*a - 2. Suppose i*m - a*m - 14 = 0. Calculate the least common multiple of m and 12.
84
Suppose 0 = -s - 63 - 68. Calculate the common denominator of -67/8 and -2 - (s/24 - 2).
24
Suppose 0*v = -2*v + 8. Let n(d) = -d + 6. Suppose 29 = 2*h - g, -6*g = -3*h - 2*g + 36. What is the smallest common multiple of n(v) and h?
16
Let h be (3 - (-165)/(-6))*8. Let n be 12/54 + h/(-9). Suppose -2*t - 5*r = -3*r - n, r + 22 = 2*t. What is the lowest common multiple of 4 and t?
44
Let n(w) = w. Let p(b) = 6*b - 24. Let j(z) = 4*n(z) - p(z). Calculate the lowest common multiple of j(10) and 20.
20
Let k = -3445/9 + 377. Calculate the common denominator of k and -6*1 - (100/(-44) + -5).
99
Let t(u) = 10*u - 11. Calculate the smallest common multiple of t(11) and 99.
99
Let a = -2049/20 + 391/5. Calculate the common denominator of a and -77/2.
4
Let n = -90237 - -7580011/84. What is the common denominator of 102/(-68) + 2 + (-11)/5 and n?
420
Let y = -250734 - -45131963/180. Calculate the common denominator of y and 16/5.
180
Let b be (0 + (-38)/(-2))*(-185)/(-5). Let d = b + -94219/134. Calculate the common denominator of -35/6 and d.
402
Let f be (-143)/(-4) + 2/8. Let y be (-3 + 4)/(1/3). Suppose 0 = y*t, -t = -0*h - 3*h + f. Calculate the least common multiple of 12 and h.
12
Let b = 256671/5423 + -802/17. Find the common denominator of b and -4/203.
2233
Suppose -2*z + 5 = -3. Suppose 0*w = w - z. Suppose w + 1 = 5*l. What is the lowest common multiple of 9 and l?
9
Let u be (2/8)/((-40065)/40). Let g = -248383/80130 + u. Let h = -20889/4520 + -2/565. What is the common denominator of g and h?
40
Let r be (-3)/(-9)*-3 + -20. Let c be 690577/65940 + (-9)/r. Let y = 12/785 + c. Calculate the common denominator of y and 57/4.
12
Find the common denominator of 7/77*-2 + (-1581)/924 and -109/40.
280
Let i(v) = -v**3 + 5*v**2 + v + 7. Let m be i(5). Let u(k) = -19 + k**2 + 10 + m. What is the least common multiple of u(-3) and 22?
132
Let r = 2120 - 19061/9. Calculate the common denominator of r and 19/333.
333
Let a = 13 - 5. Let n(x) = x**2 + 7*x + 1. Let v be n(-6). Let p(s) = -2*s - 4. Calculate the smallest common multiple of p(v) and a.
24
Let b = -252 + 268. Let i = 14 - 9. Suppose i + 11 = 2*t. What is the least common multiple of t and b?
16
Let k = -33 + 21. What is the common denominator of (2/(-80))/(k/294) and -13/8?
80
Find the common denominator of 1*4/(-12) - 712/192 and 67/30.
120
Suppose 4*s = -8 + 164. Let k(b) = 12*b**2 + 1. Let z be k(-2). Find the common denominator of z*((-81)/s - -2) and -87/10.
130
Let x = -283/3 + 113/6. Let g = -779/10 - x. What is the common denominator of 5/11 and g?
55
Suppose -4*m - 70 - 190 = 0. Let n = -56 - m. Calculate the smallest common multiple of n and 8.
72
Suppose -2*v + 3*i = 4*i, -5*v - 6 = 4*i. What is the least common multiple of (-2*(-3)/v)/((-1)/(-6)) and 20?
180
Let c(l) = -l**2 + 9*l + 3780. Suppose -23 = 2*b + 19. Let n = 35 + b. Calculate the lowest common multiple of c(-57) and n.
126
Calculate the common denominator of (-91)/(-65) - (-2)/(-4) and 15/19.
190
Let j = 10704/749 - 47/214. Let m = 207/56 - j. Find the common denominator of -11/10 and m.
40
Suppose 0*x + 110 = -5*x. Let c = -32 - x. Calculate the least common multiple of 12 and ((-75)/45)/(c/36).
12
Let a(m) = 2*m**3 - 3*m**2 - 16*m + 8. Let d be a(-8). Let w = d + 4355/4. Find the common denominator of w and -81/38.
76
Let f be ((0 - 3) + -1)/(-1). Calculate the smallest common multiple of 9 and 3 + (f - 8/4) - 2.
9
Suppose 24 = 4*k + y - 47, -3*y = k - 15. Calculate the smallest common multiple of k and 18.
18
Let v(f) = 46*f**2 - 3*f - 2. What is the lowest common multiple of v(-1) and 1?
47
Let h = -3277 + 85143/26. What is the common denominator of h and 99/8?
104
Let a be ((-2)/(-354))/(-22 + 7). Let g = -1667/273465 + a. Let h = g + 20719/2472. What is the common denominator of h and 61/2?
8
Let w be -1 + (64/1 - -1). Suppose 0*x - 4*x = -w. Let j(v) = -v**3 + 12*v**2 - 10*v + 7. Calculate the lowest common multiple of x and j(11).
144
Let s = 565/2 - 6797/24. What is the common denominator of s and -139/18?
72
Suppose -3*q + g = -g - 34, 0 = -3*q - 5*g + 20. What is the common denominator of 16/96*69*(-1)/2 and q/35*(-581)/(-12)?
12
Let c(o) = 42 + 8*o - o - 6*o. Let b be c(0). Suppose -5*j = 3 + 7, 3*n - b = -3*j. What is the smallest common multiple of n and 14?
112
Suppose 5*g - 2*g = 32313. Let o be (-1078190)/(-100) - 2/(-5). Let n = o - g. What is the common denominator of n and -61/5?
10
Find the common denominator of 2 - 26*36/80 and 6/(-9) - 1910/(-750).
50
Find the common denominator of -13/56 and 5412/480 + -10 - (-1 - -1).
280
What is the common denominator of -68/3 and 63/(-56)*1/(-66)?
528
Let a(j) = -j**3 + 3*j**2 + 7*j - 2. Suppose -5*n - d = -78 - 86, 0 = -3*n + 2*d + 101. Calculat