95/12 and w.
84
Calculate the common denominator of (1/2)/((-20)/15 + 1) and 33/2*2/8.
8
Let k(a) = -a**3 - 6*a**2 - 2*a + 3. Let w be k(-2). Find the common denominator of w/21 - (-107)/(-77) and (-92)/18 + 2/6.
99
Suppose 0 = 28*l - 206 - 186. Calculate the lowest common multiple of l and 6.
42
Let d = -5/10629 - -168893/21258. Suppose 5*t = 4 + 6. What is the common denominator of 1177/(-440) + t/(-10) and d?
72
Let j = -9 + -2. Let y = -6 - j. What is the lowest common multiple of 2/4*(-42)/(-7) and y?
15
Let j(s) = s**3 - 17*s**2 + 32*s + 95. What is the smallest common multiple of 50 and j(15)?
250
Suppose -958 = -31*b - 400. Suppose 26 = 3*a - 34. Calculate the lowest common multiple of a and b.
180
Let z be (-3)/4*(1306 - (-3 + 2)). Let o = -996 - z. Find the common denominator of o and 65/28.
28
Suppose m + 121 = 5*s + 5*m, 0 = -2*m + 8. Find the common denominator of 3/s + (-6)/(-14) and 77/2.
14
Let d = -1923 + 1926. Let j(v) = v**2 + 14*v + 5. Let p(z) = -z + 1. Let b(t) = j(t) + 5*p(t). Calculate the least common multiple of d and b(-8).
6
Let h(c) = 12*c**2 + 2*c + 1. Let q be h(-2). Let y = -2642 + 21183/8. Calculate the common denominator of y and -101*(-3)/q - 2.
120
Let m(j) = 2*j - 9. Let p(l) = -l - 1. Let z be p(-7). Let q be m(z). Suppose -7*n = -q*n - 88. Calculate the lowest common multiple of 4 and n.
44
Let c = -437231/10818 - -284/601. Let o = c + 22/9. Let w(d) = 3*d**2 + d - 2. What is the common denominator of o and w(2)?
2
Let w = 1424 + -1255. What is the lowest common multiple of 104 and w?
1352
Let k be (2/(-6))/(3/(-36)). Suppose -k*w + 4*y + 44 = 0, y - 15 = -3*w - 2*y. Calculate the lowest common multiple of 16 and w.
16
Let a be 1 + -1 + -2 + (-1 - -329). Calculate the common denominator of (24/9)/8 + a/(-24) and -24/7.
28
Suppose 0 = -2*d + 45 - 9. Suppose 2*s + 3 = 7. What is the smallest common multiple of s and d?
18
Let t = 139 + -62. Let k = t - 676/9. Find the common denominator of k and 2/(-2) - (-158)/(-20).
90
Let u be -4*((-9)/3)/(-3). Let t = 984/5 - 11723/60. Calculate the common denominator of (u - 268/(-48)) + 0 and t.
12
Let w(i) = -i**2 + 2*i - 22. Let u be w(0). Let t = -12 - u. Calculate the smallest common multiple of 24 and t.
120
Suppose 4*c - 5*b + 17 = 106, -c + 31 = -3*b. Calculate the smallest common multiple of 24 and c.
48
Let v = -3951/10 + 18067/45. Let y = -18671/70 - -1344/5. What is the common denominator of y and v?
126
Let a = -12 + 2. Let v be 1 - (-83)/10 - -1. Let x = v + a. What is the common denominator of x and 109/10?
10
Suppose 3*f = 4*l - 36, 8 = 2*f - 0*f. Let b(z) = -17*z**3 - 2*z**2 - z. What is the least common multiple of l and b(-1)?
48
Let k = 3051 + -228769/75. What is the common denominator of -74/255 and k?
1275
What is the common denominator of 0/(-20) + 48/(-110) and -27/25?
275
What is the least common multiple of 246 and (1 + 1)/((-4)/(-4))?
246
Let q = -5376073/110 - -48873. Find the common denominator of q and -53/33.
330
Let s(d) = 8 + 2*d**2 - 2*d - 5*d - 2*d + 5*d**2. What is the lowest common multiple of 4 and s(2)?
36
Let j = -342557/106582 - 2/7613. Calculate the common denominator of j and -101/112.
112
Let c = -1466 + 23423/16. What is the common denominator of c and (-290)/2*(-1)/(-6)?
48
Suppose 0 = 3*m + 56 - 215. Let b = m - 51. Let p(y) = -2*y - 6. What is the smallest common multiple of p(-6) and b?
6
Suppose 3*b - 163 - 125 = 0. Suppose 2*j - 2*o - o = 51, 2*o = -3*j + b. What is the least common multiple of 10 and j?
30
Let l(m) = -m**3 + 3*m**2 + 5*m - 8. Calculate the smallest common multiple of l(3) and 2.
14
Suppose 0 = -5*k - j + 17, 5*k + 5 = 4*j + 12. Calculate the least common multiple of k and 33.
33
Suppose -g = 4*k - 165, 4*k - 75 - 95 = -2*g. What is the smallest common multiple of 16 and k?
80
Suppose -3*m + 28 = -m. Suppose i = -2*b + m, i + 4*b + 126 = 6*i. What is the least common multiple of 4 and i?
44
Suppose 5*l - n = 113, 0 = -4*l + 2*n - 5*n + 79. Calculate the lowest common multiple of l and 132.
132
What is the smallest common multiple of (-7)/((-77)/(-33))*-48 and 288?
288
What is the common denominator of -9/22 and (-5)/188*(-46)/(-92)?
4136
Let o(c) = -c**3 + 5*c**2 + 2*c + 6. Suppose 11 - 15 = 2*z. Let w be (-6 + 7)/(z/(-10)). What is the least common multiple of 18 and o(w)?
144
Calculate the common denominator of (15/25)/(-3) + 927/60 and 41/120.
120
Suppose -4*v - 756 = -5*v + 4*c, v = -3*c + 721. Calculate the smallest common multiple of v and 6.
2208
Let z = -137/3 + 226/5. Calculate the common denominator of z and (-3)/((-252)/76) - 2.
105
Suppose 0 = -6*l + 163 + 23. Suppose 5*v + 5*f - 65 = 0, -l + 11 = -5*f. What is the smallest common multiple of v and 15?
45
Let w(z) = -57*z - 74. What is the least common multiple of w(-2) and 2?
40
Suppose -62*w - 4 = -63*w. Suppose -5*d - 52 = -4*r, -d + w*d - 12 = -3*r. Calculate the smallest common multiple of 17 and r.
136
Let s(x) = 26*x - 1. Let q be s(1). Suppose 3*g - 4*b = 24, 2*b = 4*g - b - q. What is the least common multiple of g and 8?
8
Let h = -215242/244893 + 1/7421. Let a = 2/2015 - -74441/114855. Calculate the common denominator of a and h.
627
Let l(a) = a**2 + 5*a - 47. What is the smallest common multiple of l(15) and 92?
1012
Let w = 2/321 - -19577/642. What is the common denominator of (21/(-196)*40)/((-32)/42) and w?
8
Calculate the common denominator of (-396)/80 - (-36)/24 and -17/502.
5020
Let h = 32 - 30. Let a(b) = 2*b**3 - 4*b**2 + 3*b. Let w be a(h). Calculate the least common multiple of w/((-165)/(-50) - 3) and 2.
20
Let v = -13 - -67. Suppose 2*q - 37 = 4*k + 15, 65 = 5*q + 3*k. What is the smallest common multiple of v and q?
432
Let m be (222/213 - 1)/(291/2). Let o = m + -943531/41322. Find the common denominator of o and -59/42.
42
Let v = 2602/9 - 282. Calculate the common denominator of v and 59/30.
90
Let w(l) = -l**3 + 7*l**2 + 3*l + 31. Calculate the least common multiple of 60 and w(5).
480
Suppose 0 = 27*a - 336 - 177. What is the smallest common multiple of a and 3?
57
Let q = -36059/9702 - 3/539. What is the common denominator of q and -83/8?
72
Suppose 0*b - 52994 = -4*z - 2*b, -5*b = 4*z - 52991. Let m = -21595 + z. Let c = m - -167007/20. Find the common denominator of -69/14 and c.
140
Suppose -3*i = -62 - 16. Suppose -8*a = -4*a - 4, 0 = -3*f + 2*a - i. Let g = f - -16. Calculate the least common multiple of g and 35.
280
Calculate the common denominator of (-3)/2 + 612/60 and -1 - (147/(-22))/(-3).
110
Find the common denominator of 6/(-24) + (-46)/(-40) and 8/((-24)/9) + 33/16.
80
Let h(v) = -v**2 + v + 9. What is the lowest common multiple of 8 and h(2)?
56
Calculate the least common multiple of (-1)/2 + 195/26 + 3 and 12.
60
Suppose -21 = -0*b + 3*b. Let o(r) = r**2 + 3*r - 14. Let y be o(b). Calculate the common denominator of 33 and y/(-3) + 2/(-9).
9
Let j = -24 + 11. Let c = -12 - j. Suppose -y = -2*u + 3*u - 3, -y = 5*u + c. What is the least common multiple of y and 6?
12
Let p be (-2)/(-11) + 252243/(-19492). Let n = p + 4/443. What is the common denominator of (-2)/6*(-246)/4 and n?
4
Let y = 4731/44 + -433/4. Let h be (1 + 5)/(2/(-5)). Find the common denominator of (-1 - 12)/(9/h) and y.
33
Let m be (3*(-170)/45)/((-4)/(-6)). What is the lowest common multiple of (-5 - 100/(-17)) + (-2)/m and 1?
1
Let z = 21 - 3. Let s be 0*(2 + (-10)/4 + 0). Calculate the least common multiple of 2 + -2*(-7 - (1 + s)) and z.
18
Suppose 3*s - 188 = -s. Suppose 0 = -1051*d + 1038*d + 130. What is the least common multiple of d and s?
470
Let j be (-11203)/(-12) + (0 - 2). Let s = 3647/4 - j. What is the common denominator of 2 - (861/36 - 11) and s?
12
Let u be (-82206)/41100 - (-4)/2. Let j be 2/(-12)*3973072/82200. Let r = j - u. Calculate the common denominator of r and 93/22.
198
Suppose 21 - 5 = 4*c. Suppose -4*o - 2*j - 2*j + 36 = 0, 3*o = j + 47. What is the lowest common multiple of o and c?
28
Suppose -3*c - 2*i = c + 90, 36 = -2*c + 2*i. Let s = -15 - c. Calculate the lowest common multiple of s and ((-32)/(-4))/(-1 - -3).
12
Suppose 46*y - 4798 = -152. What is the least common multiple of y and 7?
707
Calculate the common denominator of 8/1 + 6915/(-850) and -6/25.
850
Let d = 2/235 - 7783/3290.