3). Let n = -12 + q. Let w = n - 6. Calculate the lowest common multiple of 22 and w.
44
Let d be 6/12*(2 - 2). Suppose 3*l - 5*l + z = -3, 3*l - 3*z - 12 = d. Let y = 7 - l. What is the lowest common multiple of y and 5?
40
Let r = 602641/630210 - -8/9003. Calculate the common denominator of -66/35 and r.
70
Calculate the common denominator of 3 + 2/3 + (-149)/12 and 4 + (-597)/42 + 2.
28
Suppose -2*i = -0*i + 2, 4*i - 8 = -4*f. Let b be 5 - (-2 + 2 - 1). Let x = b - f. Calculate the smallest common multiple of 3 and x.
3
Let t(u) = -u + 12. Let f be t(15). Calculate the lowest common multiple of 9 and (-5 - f)/((-2)/3).
9
Let l be (-15)/6*898/8. Let k = -275 - l. Calculate the common denominator of k and 326/(-56) - (-9 - 59/(-7)).
8
Let m be 36/2 - 2*(0 + -1). What is the common denominator of (0 + m/15)*(-67)/(-12) and 62/9?
9
Let n be 0 - (3 - (0 - -3)). Suppose j = -n*j + 5. Calculate the smallest common multiple of 2 and j.
10
Let z be -4 + (-4 - -12) + 1 + -11. Calculate the smallest common multiple of 5 and (-6)/(-3) - z - 4.
20
Let v = 28631 - 28604. Calculate the lowest common multiple of -1 + 1 + (5 - -1) and v.
54
Suppose 0 = 2*z - z + 279. Let m = z - -829/3. Calculate the common denominator of m and 9/7.
21
Let w = -3313 + 33159/10. Find the common denominator of 41/56 and w.
280
Let g(q) = -11*q + 87. Calculate the lowest common multiple of 30 and g(6).
210
Let i(m) = 39*m**2 + 13*m - 5. Let x(p) = 10*p**2 + 3*p - 1. Let o(s) = -2*i(s) + 9*x(s). What is the smallest common multiple of o(-1) and 10?
60
Suppose -s + 2*v + 1321 = -102, 0 = -s + 3*v + 1418. Suppose 0 = -5*f + s + 1282. Let b = 9715/18 - f. Find the common denominator of -121/12 and b.
36
Let u(q) = -2*q + 6. Let v be u(-6). Let l = 0 + v. What is the least common multiple of 284/l + 12/54 and 22?
176
Suppose -5 = 5*n - 20. Let q = -118 - -120. Suppose 2*g = -2*g - w + 60, q*g - n*w - 16 = 0. What is the lowest common multiple of g and 22?
154
What is the common denominator of -13/21 and (-1216)/4752 + 2/11?
189
Let w = -1314 - -1317. Calculate the least common multiple of w and 1.
3
Calculate the common denominator of 83/8 and ((-573)/(-12) - -3)*(-60)/(-490).
56
Suppose 2*w - 4*w - 96 = 0. Find the common denominator of (5 + 69/(-12))*26/5 and (-908)/w + (-1)/4.
30
Let z = 136 - 2259/16. Find the common denominator of z and 3/4.
16
Calculate the least common multiple of (32/(-72))/(((-28)/63)/4) and 19/2 + 1/2.
20
Suppose -9 = -r + 8. Calculate the lowest common multiple of -16 + r - (1 + -4) and 10.
20
Let v = 187 - 174. Suppose -v*y + 76 + 2 = 0. Suppose x - 3*x = -b - 5, 10 = 2*b + x. What is the least common multiple of y and b?
6
Suppose -r - 594 = -5*h, -2*h + 9*r + 239 = 10*r. Suppose -117*x - 68 = -h*x. What is the lowest common multiple of x and 20?
340
Let w = -52442/885 + 898/15. Let m = -4194902/5605 + 14148/19. Let n = m - w. Find the common denominator of 9/4 and n.
20
Let x = -13 - 7. Let r = 0 - x. What is the common denominator of 1 + r/(-24) + -12 and 51/11?
66
Calculate the common denominator of 23530/(-3276) - (-2)/18 and ((-3)/8)/((-3)/27).
56
Let k(c) = -5*c + 41. Let v be k(7). Suppose -d - v = -4*d. Calculate the least common multiple of d and 5*(-5)/((-50)/12).
6
Let w be -27 + (0 - 0/2). Let j be ((-1002)/w)/((-16)/(-12)). Let l = j + -499/21. Calculate the common denominator of l and -83/10.
70
Let o = 7 - 5. Let c be o - 2/3*-3. Suppose 49 + 31 = c*s. Calculate the smallest common multiple of s and 12.
60
Let t = -202 + 209. Calculate the least common multiple of t and 32.
224
Suppose -2 = -b + 34. What is the lowest common multiple of 30 and b?
180
Suppose 2*y - 63 = -4*u - y, -4*y + 4 = 0. Suppose 2*a = 5*p - a - 125, 3*a = -u. Calculate the lowest common multiple of 20 and p.
220
Find the common denominator of -79/20 and ((-16)/1520)/(((-1)/61)/(-1)).
380
Suppose 19 = -2*r + 13, -5*n = 3*r - 2441. Calculate the least common multiple of 50 and n.
2450
Suppose -199 + 23 = -4*h. Suppose -o - o + h = 0. Suppose 3*k - 2*q = 2, 0 = 4*k - 0*k - q - 11. Calculate the least common multiple of k and o.
44
Let t = -26 - -17. Let g(k) = -k**2 - 9*k + 2. Let n be g(t). Find the common denominator of -31/5 and (-26)/(-91)*22/n.
35
Let r = -75 + 86. What is the least common multiple of r and 34?
374
Let k be (-28898)/(-10) + 1/5. Let z = -17287/6 + k. Let u = -2131/5 + 17253/40. What is the common denominator of z and u?
24
Let o = -1003/2 + 492. Calculate the common denominator of o and (-182)/3*(-13)/156.
18
Let m(d) = -3*d - 6 + 3*d + 3*d. Suppose 4*b = 4*y - 16, -14*b - 4 = -y - 11*b. What is the smallest common multiple of y and m(6)?
12
Suppose -3*t = -3*g, 20 = -3*t + 8. What is the smallest common multiple of 9 and 1 + -4 + (-36)/g?
18
Calculate the common denominator of -51/10 and (-33)/(2970/84) - -2*2.
30
Let m = 119/3 + -155/6. Let d = -123/38 - -679/380. Calculate the common denominator of m and d.
60
Suppose p - 30 = -33. Let f(h) = -h**2 - 8*h - 11. What is the smallest common multiple of f(p) and 29?
116
Let z = 19 - 28. Let g be 0/z - (-18)/(-1). Find the common denominator of 3/(-72)*(-264)/g and -79/16.
144
Let k = -19/16936 + -58937147/118552. Let v = k + 492. Find the common denominator of v and -16/3.
21
Suppose 16 = -4*m, 0*m - 2*m - 26 = -3*x. Let z(f) = 2*f - 25. Let b be z(16). Suppose b*w - 18 = x*w. What is the least common multiple of w and 4?
36
Suppose 2*c - 54 = 22. Let p = -30 + c. What is the lowest common multiple of p and 3?
24
Let f(q) = 2*q - 7. Let p be f(5). Suppose -p*i + i + 2 = 0. Suppose 0 = -17*w + 72 + 30. What is the smallest common multiple of w and i?
6
Suppose 3*v - 156071 = -23768. Let f be 2/9 + v/15498. Let a = 4/1107 + f. Find the common denominator of a and 77/20.
140
Let h = 485177/24 - 20220. Calculate the common denominator of -77/4 and h.
24
Let v = 73 - 123. Calculate the common denominator of 99/32 and (2/(-12))/(v/(-275)).
96
Let b = -1497 - -49430/33. Find the common denominator of 115/198 and b.
198
Let s = 36647/73764 + 17/1366. What is the common denominator of 65/18 and s?
108
Let t(j) = j + 8. Suppose 55 = 4*n - 2*c - 45, -15 = -n - 2*c. Suppose -4 - 21 = 5*f, 0 = -v + f + n. What is the smallest common multiple of t(0) and v?
72
Let g be 132/(-4*9/(-96)). Let a = -2821/8 + g. Calculate the common denominator of a and (118/(-12))/((-12)/(-8)).
72
Let k = 1378 + -6849/5. What is the common denominator of 83/34 and k?
170
Suppose -48 = -3*i + i. Let r = -2546 - -2561. Calculate the lowest common multiple of i and r.
120
Let n = -3892123/604 + 25775/4. Calculate the common denominator of n and -11/14.
2114
Let q(r) = -r**3 - 2*r**2 + 3*r - 12. Suppose 2*z + 3*o + 6 = 28, 40 = 4*z + 5*o. Calculate the smallest common multiple of z and q(-4).
40
Let y = 232 - 183. What is the smallest common multiple of 49 and y?
49
Suppose 24*c - 20*c = 64. Calculate the lowest common multiple of c and 100.
400
Suppose 49*r + 84 = 53*r. What is the least common multiple of 81 and r?
567
Let z = 67243471/540 + -124525. Find the common denominator of z and 23/20.
540
Let k = 340423/1713936 + 4/5101. What is the common denominator of k and -57/616?
3696
Let y = 226 - 1134/5. Let g = -200 + 1798/9. Find the common denominator of g and y.
45
Let i = 545 - 539. What is the least common multiple of 13 and i?
78
Let r = 21760/172679 + -43/359. Let v = -16859/3848 + r. What is the common denominator of v and -39/4?
8
Let c be (1/1 - 3) + (24 - -10). Calculate the common denominator of ((-92)/c - -2)*12 and (-30)/(-39) + 0 + -1.
26
Let f = 118501/28 + -4229. What is the common denominator of f and 15/182?
364
Suppose 0 = -3*b + 4*h + 128, -5*b - 4*h + 195 = -7*h. Let a = -24 + b. What is the smallest common multiple of 4 and a?
12
Let a = -21897661759/2156 + 789217144/77. Let j = -92957 + a. Let p = j - -5/147. Find the common denominator of p and 97/6.
12
Calculate the common denominator of -75/14 and (-2216)/224 - 35/(-20).
14
Suppose 2*b - 3*x = 78, -5*x = 6*b - 10*b + 154. Calculate the smallest common multiple of 24 and b.
72
Suppose 21*g - 205 - 1265 = 0. Let w(d) = -5*d - 14. Calculate the least common multiple of g and w(-4).
210
Let n be 0/(1/((-1)/2)). Suppose 7*c - 3*c + 8 = n. What is the lowest