34, 5*a = -u + 22. Calculate the smallest common multiple of u and 18.
126
Let y(w) = 754*w - 9. Let f be y(-6). Let t be (2/10)/(6/(-136107)). Let n = t - f. What is the common denominator of -15/22 and n?
110
Let m(t) = -t**3 + 2*t**2 - 2*t + 3. Let b be m(3). What is the lowest common multiple of b/(-30) - (-28)/5 and 5?
30
Let p = 133 + -183. What is the common denominator of -59/5 and p?
5
Let z = -5 + -9. Let i = z - -25. Suppose -u = -4*k + 4, -2*u - k = -u - i. Calculate the least common multiple of 3 and u.
24
Find the common denominator of -33/8 and (356/(-12))/(((-70)/3)/5).
56
Calculate the common denominator of 29/7 and 2 - 2/(48/(-500)).
42
Suppose 17 - 1 = 4*d. Let c = d - -4. Calculate the lowest common multiple of (-2)/(-8) - (-172)/16 and c.
88
Let d = -1 - 0. Let f be 2*2 - d/(-1). Calculate the smallest common multiple of ((-14)/(-6))/(f/9) and 2.
14
Let l = -139 - -549. What is the least common multiple of 14 and (-2)/(-7) + l/35?
84
Let g = 30781/10 - 3081. Let i = 23837/10 + -2387. Find the common denominator of g and i.
10
Let v be (28/42)/((-4)/(-162)). What is the least common multiple of 18 and (v/6)/3*12?
18
Let d = -673/2 + 362. Let u be (-3)/6 - (-583)/46. Let a = u + -8253/506. Find the common denominator of d and a.
22
Let g be ((-48)/(-14))/((-3)/(-21)). What is the common denominator of 1 + 3/(g/71) and (-295)/28 - (-6)/21?
8
Let f be 4/(-12) - (-1)/3. Suppose 0 = -2*h, -5*d + 4*h + 3580 + 12640 = f. What is the common denominator of (-2)/(-7) - d/280 and -95/2?
10
Let h = 565811/30 + -18863. What is the common denominator of h and 14/27?
270
Let k = 12 + 2. Calculate the lowest common multiple of 20 and k.
140
Suppose 0 = 15*w - 10*w - 60. Calculate the least common multiple of 28 and w.
84
Let l = -1269 - -2329. Let v = 2163/2 - l. What is the common denominator of v and (1 - 0) + 22/(-18)?
18
Suppose 60 = 5*w + 3*r, -w + 2*w - 2*r - 12 = 0. What is the lowest common multiple of w and 20?
60
Let a(s) = -6*s - 3. Let p(n) = 5*n + 2. Let m(z) = -4*a(z) - 5*p(z). Calculate the lowest common multiple of 10 and m(-4).
30
Suppose 5*h + 2*t - 10 = 0, -1 = -h + t - 6. Let w(c) = -c**3 - c**2 + c + 8. Let j = 18 - 12. What is the lowest common multiple of w(h) and j?
24
Suppose 2*h + 5 = -5*a + 21, 0 = 2*a + h - 6. What is the least common multiple of (-2)/a - (-90)/4 and 18?
198
Let i = 25885/8 + -3223. What is the common denominator of i and -63/2?
8
Let x = -6 - -12. Let y = x - -18. Calculate the least common multiple of 20 and y.
120
Let y(k) = k**3 - 7*k**2 - 8*k + 6. Let j be y(8). Let a be (-4)/6 - (-100)/j. Calculate the common denominator of -37/14 and (-346)/(-308) + a/56.
154
Let u(j) = -j**2 + 9*j. What is the least common multiple of u(6) and (-5 + 4)/(2/(-20))?
90
Suppose -4*x - 3*l + 6*l = -17, 0 = 5*x + 2*l - 4. What is the smallest common multiple of 2 and x?
2
Suppose -5*f - w + 60 = 0, w + 26 = 3*f - 2. What is the least common multiple of f and (-7 - -7) + 5 + -2?
33
Let q(n) = -n**3 + n**2 - n + 12. Suppose 2*o = 3*o. Let y be q(o). Find the common denominator of y/42 - (-887)/(-140) and -87/4.
20
Let a be (-1 + 3)/((-2)/151). Let j = -225 - a. What is the common denominator of 5 - 3 - j/(-8) and -103/10?
20
Let g be (-59)/(-12) + 0/(-2). Let a = g - -35/6. Let c = -73467/22 - -3341. Calculate the common denominator of c and a.
44
Find the common denominator of (-6)/(-15) + 666/160 and 121/18.
144
Suppose -3*a + 15 = 0, -2*j + 335 = 3*j + 3*a. Calculate the lowest common multiple of j and 7.
448
Let s(k) = 2*k + 2. Calculate the lowest common multiple of 16 and s(4).
80
Suppose -s - 3 = -9. Let t be (-64)/(-5) - 2/(-10). Let n = -1 + t. What is the least common multiple of n and s?
12
Calculate the lowest common multiple of ((-20)/70)/((-2)/14) and 11.
22
What is the common denominator of (-4)/14 - 1335/(-140) and -3*((-495)/(-42))/(-5)?
28
Let w = 13/36 - 23/12. Find the common denominator of w and 18/11.
99
Let b = 215 - 55. Find the common denominator of 0/(-1) + b/(-36) and (-202)/(-35) + 15/35.
45
Suppose -2*x - 2*x = l - 68, 2*l = -2*x + 40. Let o(v) = -v**3 + 9*v**2 + v + 1. Calculate the lowest common multiple of x and o(9).
80
Let a = 226 - 3623/16. What is the common denominator of a and -55/34?
272
Let j = -28 + -6. Let a = -846863/25000 - 3/6250. Let t = j - a. What is the common denominator of t and 29/6?
24
What is the least common multiple of (1*2)/(-2) + 3 and 125/10*6/15?
10
Suppose 4*b = -b + 2*j + 508, 4*b - 2*j = 408. What is the least common multiple of b and 20?
100
Suppose -3 + 159 = 3*q. Let g = q + -34. Calculate the smallest common multiple of 18 and g.
18
Let b = -264559/21 - -12595. Calculate the common denominator of b and -89/6.
42
Let w be (1/(-8))/((-4)/(-506)). Let j = w - -489/80. Calculate the common denominator of j and -11/12.
60
Let z(r) = 3*r**2 - r. Suppose 5*f - 3 = -4*t, 5*t = -0*f + 4*f + 14. What is the lowest common multiple of 16 and z(t)?
80
Let r = 75 + -38. Let x = r + -5. Suppose 5*y = y + x. Calculate the smallest common multiple of 10 and y.
40
Suppose 6*g = g. Suppose x + 5*l + 128 = g, -4*x + 9*l = 4*l + 462. What is the common denominator of x/10*(-1 + 0) and -89/4?
20
Let m = 12315 - 6956. Let q = -2621 + m. Let g = 13732/5 - q. What is the common denominator of g and -46/9?
45
Let z(h) = -2*h**2 + 5 + 2*h**2 - h**3 - h. Let a be z(0). Suppose -2*b - 18 = -4*c + 20, 0 = -2*c + a*b + 31. Calculate the lowest common multiple of 7 and c.
56
Suppose 0 = 5*s + 4*v + 46, 0 = s - 3*v + v - 2. Let r be 3/s + 30/(-4). Calculate the lowest common multiple of 10 and ((-4)/8)/(1/r).
20
Suppose -2 = 4*u + 6, 3*u = -4*a + 22. Suppose 0 + a = g. What is the least common multiple of 1 and g?
7
Suppose 3*r = -5*t - 38, 3*t + r = 5*t + 24. What is the common denominator of 212/t*(-5)/6 and 2/7?
21
Let o = -41/10 + 19/5. Find the common denominator of 87/2 and o.
10
Let x = -6/79 + -3215/316. Calculate the common denominator of 73/22 and x.
44
Let p be (2/6)/(5/30). Calculate the common denominator of (236/(-32))/(p/(-4)) and 67/8.
8
Suppose -4*v = -103 + 39. Suppose -6*w + 2*w = -v. Suppose -3*c - 22 = -4*o + 2*c, w = 2*c. Calculate the lowest common multiple of 6 and o.
24
Calculate the lowest common multiple of 3/(3/(-1)) - -3 and 3.
6
Let b(r) = r**3 + 5*r**2 - 6*r + 3. Suppose g - 2 = -8. Calculate the least common multiple of 2 and b(g).
6
Let g = 28 + -15. Calculate the smallest common multiple of g and 10.
130
Let c = -7/92964 - 6130867111/3067812. Let w = 31432706/11 - 2855512. Let y = c + w. What is the common denominator of 3/10 and y?
90
Let v(t) = t**3 - 7*t**2 - 9*t + 24. What is the least common multiple of v(8) and 14?
112
Let i(x) = -x**2 - 6*x + 3. Let z be i(-6). Find the common denominator of 3*z/(324/39) and 49/30.
60
Suppose 0 = -4*z - 56 - 8. Calculate the common denominator of -91/2 and (-34)/z - (-2)/8.
8
Let p = 185/207 + 143/23. What is the common denominator of p and 79/2?
18
Let o = -8 - -11. Let g(p) = -4*p + o*p + 4*p - 6. Calculate the smallest common multiple of g(6) and 14.
84
Let t be (-47)/1062 - 10/(-45). Let i = -1/1625075 - -2292982123/2109347350. Let h = i - t. What is the common denominator of h and 3/4?
44
Find the common denominator of -36/11 and (60/(-16))/(99/(-48)).
11
Suppose -z + 124 - 19 = 0. What is the least common multiple of 20 and 32/(-6)*z/(-20)?
140
Suppose -2*n + 0 + 40 = 0. Suppose -4*v + 4 = n. What is the common denominator of 11/12 and 87/v*(-2)/5?
60
Let a(f) = -5*f**3 - 8*f**2 + 6*f. Let c(k) = -11*k**3 - 17*k**2 + 13*k. Let i(n) = -9*a(n) + 4*c(n). Calculate the least common multiple of i(-4) and 8.
8
Let u = -21001/7 - -3007. Suppose 2*f - 10 = 2*b, 2*f - 1 = 3*b + 12. Find the common denominator of u and (-4)/b*(-47)/12.
63
Let r = -1289/410 - -51/41. Find the common denominator of -53/42 and r.
210
Let d(f) = f**3 - 7*f**2 - 9*f + 2. Let i be d(8). Let c = -2 - i. Suppose -3*t + 18 = 3*k, 3*k - c*t = -k + 56. What is the least common multiple of k and 12?
60
Let b = 480/7 - 3399/56. Let t(y) = y**2 + 4*y + 2. Let g be t(-4). Find the common denominator of b and g/7*22*-1.
56
Let h = 2029/360 - -19/72. Let w = 5207/966 - 22/69. Calculate the common denominator of w and h.
70
Let a = -85586