.
44
Let i = -174343/151704 + -66/2107. Find the common denominator of (-6)/(-21) - (79/(-42) - 2) and i.
72
Let s = 2002 - 1980. What is the lowest common multiple of s and 11?
22
Calculate the common denominator of -97/50 and (-15)/(-5) + (-321)/120 + 2.
200
Let n be -40 + 4 + (-1 - -2). Let d = n - -317/9. Calculate the common denominator of d and 139/18.
18
Let a(x) = x**2 + 5*x + 14. Calculate the lowest common multiple of 368 and a(0).
2576
Let l = -304 - -328. Calculate the least common multiple of 20 and l.
120
Suppose -127*g + 120*g = -21. Calculate the least common multiple of g and 22.
66
Let g(y) = -2*y**2 + 15*y + 10. Let u be g(8). What is the common denominator of 58/40 + 35/(-10) + u and 67/14?
140
Suppose -4 = -4*c - 2*r, -c - 3*r + 9 = 2*c. What is the common denominator of (-3)/c + (-100)/21 and -29/15?
105
Let s be (-66)/8*(-562)/117. Let w = s - 760/13. Calculate the common denominator of -2 + -1 - ((-712)/16 + 4) and w.
6
Let p be 141 - (-7 + 8 + -4). Suppose -3 - 2 = 5*t. Find the common denominator of 111/14 and 2*((-4)/t)/p.
126
Suppose 57 = -2*j + 31. Let o be (1 + -23)/(-1) - -1. Let a = o + j. Calculate the lowest common multiple of 20 and a.
20
Suppose -2*p + 2*q - 371 - 9 = 0, 5*q = -p - 202. Let j be 0/3 + (-24)/(-2). What is the common denominator of (p/(-45))/(8/j) and 9/11?
55
Suppose 3*y + 3*y = -24. What is the common denominator of (-1166)/(-154)*(-14)/y and -51/22?
22
Let y = 33399205/245686092 - 1/457516. What is the common denominator of y and 23/6?
1074
Let p = -34 - -41. Suppose 5*o + 2*g - 1 - 1 = 0, g = -4*o + 4. Suppose 12 = 5*r + 4*u - 43, 4*r - o*u - 18 = 0. Calculate the least common multiple of p and r.
7
Let p = 854 + -840. What is the smallest common multiple of 22 and p?
154
Suppose -12 = -4*w + 5*y, 34 = 5*y + 14. Let a(v) = v**2 - 6*v - 9. Let r be a(8). Let d = 3 + r. Calculate the smallest common multiple of w and d.
40
Let s = -105 + 116. Calculate the smallest common multiple of s and -2*-9*(-1)/(-2).
99
Let r = -1670 + 1686. Let m = 1 - -1. What is the lowest common multiple of r and m?
16
Let d = 19758583/10 + -1977608. Let w = d - -1756. What is the common denominator of w and (-176)/308 + 1558/(-140)?
10
Let j be 145/(-11) + (-6)/(-33). Let w = j - -17. Calculate the smallest common multiple of w + -1 - (-4)/2 and 6.
30
Let v = -7689 + 92215/12. Let c be 73948/(-72) - (3 - 6). Let u = -1025 - c. Find the common denominator of v and u.
36
Let r(a) = a**2 - 14*a + 11. Let o be r(13). What is the least common multiple of ((-11)/(-22))/((-1)/(-2)) and 3*(-1 + (-4)/o)?
3
Let l = -1/865 - 25079/5190. Let c = 7/212 - -14269/4452. Calculate the common denominator of c and l.
42
Let p(h) = 30*h - 483. What is the smallest common multiple of p(27) and 15?
1635
Suppose -2 + 30 = 2*v. Let f(g) = g**2 - 25*g + 9. Let s be f(18). Let d = 133 + s. Calculate the smallest common multiple of d and v.
112
Let n = -231028783/642 + 359858. Find the common denominator of n and -81/16.
5136
Suppose 8 = -2*n, -1079*j + 1084*j - 5*n - 200 = 0. Calculate the smallest common multiple of (-11)/(-1 - (-1)/2) and j.
396
Let l = -2/15519 + 688013/31038. Let t be 283/666 - 4/18. Let m = 1003/111 - t. Find the common denominator of l and m.
6
Suppose -4*y + 5*c + 717 = 0, -4*y + 716 = -0*y - 4*c. What is the common denominator of -1 - (-1)/(4/y) and 8/9?
18
Let z = -9 - -25. Suppose 7*u = z - 2. Let i(d) = 3*d + 1. What is the least common multiple of u and i(1)?
4
Let z be (-5 + 4)/((-1)/(-39)). Calculate the common denominator of -27/14 and 15/(-15) - z/(-16).
112
Suppose -10 = 3*s - 1. Let c be 1/(1*(-1)/s). Suppose 2*o = c + 37. What is the lowest common multiple of 8 and o?
40
Let v = 4/643 + -27713/10288. Let h(n) = 4*n**2 + 8*n + 7. Let w be h(-5). Calculate the common denominator of -11 + 11 + w/(-8) and v.
16
Let i(t) = 2*t**2 - 19*t - 4. Let r(u) = u**3 + 5*u**2 - 7*u - 5. Calculate the smallest common multiple of i(10) and r(-6).
6
Let f = 31/812 - 51643/3451. Let w be 4/6 + -1*(-721)/714. Let l = f + w. What is the common denominator of -37/6 and l?
12
Let s(m) = 3*m - 12. Let z be s(6). Let t = -4 - z. What is the smallest common multiple of (-6)/t + 444/60 and 8?
8
Let g be (2 + 4/(-3))*24. Let z = 17 - 10. What is the smallest common multiple of g/48 + 52/6 and z?
63
What is the common denominator of 97/108 and (-60)/(-105) - (-118)/(-84)?
108
Suppose -m = -5*h - 163, 2*h = 28*m - 31*m + 472. What is the least common multiple of m and 4?
316
Suppose 4*i + 0*r - 16 = -4*r, 3*i - 4*r = 26. Let c be (-9)/i*(-2)/3. Let h = 7 + c. What is the least common multiple of 10 and h?
40
Let h(d) = -d**3 - 17*d**2 - d + 4. Suppose 10 = -b - 7. Calculate the smallest common multiple of 21 and h(b).
21
Suppose -62*v = -52*v - 50. Calculate the smallest common multiple of v and 34.
170
Let n(w) = -2*w**2 - 67*w - 87. Calculate the least common multiple of 66 and n(-32).
198
Suppose 2 = c - 20. Suppose 5*v = -9 + 119. Let p(i) = -i**2 + 22*i + 14. Calculate the smallest common multiple of p(v) and c.
154
Let i be 3*(-2)/24*-28. Let t(a) = -a**2 + 8*a - 4. Let h be t(i). What is the least common multiple of 8 and 8*(3 - (h - 1))?
8
Let d(o) = -o**2 - 4*o + 7. Let c be d(-7). Let u be ((-7)/c)/((-1)/(-2)). What is the common denominator of 28 and u/(-3) + 385/30?
2
Let a(i) = 2*i + 9. Let d be a(-18). Calculate the common denominator of (-3)/(d/(-82)) + 6/3 and 131/30.
90
Calculate the common denominator of -13/8 and -2 - -1 - (3135/2)/(-33).
8
Let v = 15040/11 - 542309/396. Suppose -r - r = -4250. Let o = r - 29735/14. What is the common denominator of o and v?
252
Let t = 41/2 + -13. Let r = -44 - -28. What is the common denominator of t and (140/r)/(1/(-4))?
2
Let c(t) = 5*t**2 - t - 2. Let q be c(-1). Suppose -9*o - q = -11*o. Calculate the common denominator of -83/4 and (o/8)/(42/644).
12
Let a = -426 - -444. What is the smallest common multiple of 30 and a?
90
Let l(m) = 2*m + 12. Let i be l(-4). Suppose 4*s + 3*w - i = -w, s + 3 = w. What is the common denominator of 1/(-36)*(-194)/s and -83/6?
18
Let u = -5263/10 + 2121/4. Find the common denominator of -3 - ((-118)/(-8) + -2) and u.
20
Let t be (16 - 15)/(2/96). Find the common denominator of -56/33 and (132/9 + -2)/(t/30).
132
Let g = 2542 + -38111/15. What is the common denominator of -79/165 and g?
165
Let y = -520503/22 - -23655. Calculate the common denominator of (1 - -1)*(-26)/96 and y.
264
Let u = 6 - -2. Let m be 0 + (-6)/12*2416. What is the common denominator of ((-3)/u)/(18/m) and -53/10?
30
Let h be (15/81)/(1/21057). Let o = -7807/2 + h. Calculate the common denominator of o and (1 - 2) + (-6)/44.
198
Let p be ((-2923739)/(-18))/13 - 0. Let s = -12498 + p. What is the common denominator of -103/6 and s?
18
Let d be (-8)/(-36) - (-14713)/9. Let o = 3343/2 - d. Find the common denominator of 53/9 and o.
18
What is the common denominator of (312/(-160))/(2/(-5)) and ((-21)/392)/(12/(-602))?
16
Let o = 2449 + -2465. Let d = -9/53 + 4153/424. Calculate the common denominator of o and d.
8
Let i(s) = -2*s. Suppose -75 = -24*f - 3. What is the lowest common multiple of i(-2) and f?
12
Let z = -3636 + 80059/22. Suppose -7*g = -11*g - 48. Calculate the common denominator of z and (-8)/(-56)*(-161)/g.
132
Let b = -558622/105 + 106389/20. Let t = b + 1/105. What is the common denominator of t and 99/2?
4
Let m = 7 + 15. Let f = 100 - 54. Calculate the lowest common multiple of m and f.
506
Let l = -13 + 16. Suppose -l*y = 2*y. Suppose v - i = -2, -8*v + 4*v - i + 17 = y. Calculate the lowest common multiple of 9 and v.
9
Let y(i) = i**2 + 11 - 10*i**2 + 2*i**3 - 15*i**2 + 5*i**2 + 9*i. What is the lowest common multiple of 9 and y(9)?
99
Let b = 7 + 0. Let y = b - 13. Find the common denominator of 115/6 and 9 + y - 14/4.
6
Let o = -8 - -6. Let u be ((-44)/o)/(40/(-1812)). Let h = -84516/85 - u. Find the common denominator of 19/3 and h.
51
Let o = 195 + -179. Calculate the lowest common multiple of 9 and o.
144
Suppose 0 = -42*k + 15 + 69. Calculate the smallest common multiple of k and 3.
6
Let m = 58 - 33. Suppose -11*u = 25*u + 504. Let j = m + u. What is the lowest common multiple of 11 and j?
11
Let c(t) = t**3 + 18*t**2 - 11*t + 12. What is the