 Calculate the least common multiple of z and w.
9
Let i be 712454005384579/44040 - (-3)/24. Let c = -16177429719 + i. Let t = c - 6/1835. What is the common denominator of t and -11/4?
12
Let p(x) = 203*x**3 + 3*x**2 + 2*x - 1. What is the least common multiple of p(1) and 184?
1656
Suppose -7*q - 261 = -716. Let g = q + -59. Let i = 10 + -4. What is the lowest common multiple of g and i?
6
Let b(m) = -m**2 - 15*m - 10. Let d be b(-13). Let t be (-186)/88*d/(-6). Let s = 1167/88 - t. Find the common denominator of s and 73/6.
24
Let w = -5728 + 5732. What is the lowest common multiple of w and 20?
20
Suppose -4*i = 2*q - 24, -6*q - 5*i - 126 = -10*q. What is the lowest common multiple of 1110 and q?
4440
Suppose 2 + 6 = b. Let y = 31 + -28. Suppose 7*t = y*t + 28. Calculate the smallest common multiple of b and t.
56
Let p(z) = -46*z**2 - 23*z + 1. Let o be p(-2). Let v = o - -191. What is the lowest common multiple of 6 and v?
54
Let h(a) = a**3 - 8*a**2 - 9*a - 3. Let d be h(9). Let z be d*8/(-36)*(-1)/412. Let r = z + 1549/2472. Find the common denominator of -73/18 and r.
72
Suppose 5*o + 2*i = -0*o + 10, 4*i - 20 = 3*o. Suppose a + 3 + 0 = o. What is the smallest common multiple of 20 and ((-12)/a - -19) + -1?
220
Let b = -2317/10 + 27359/120. Suppose 2*m = -197 + 527. Calculate the common denominator of 2/(-10) - m/100 and b.
120
Let y be ((-175)/(-168))/(-2 + (-10)/(-8)). Let t = 19/18 - y. What is the common denominator of t and (-1)/(60/(-32))*-35?
9
Let l be 4856/1558 + (18/6 - 1). Let f = -119/19 + l. Find the common denominator of f and 19/4.
164
Calculate the common denominator of 50/909 and (-48)/(-30)*(2/9 - (-92)/396).
9999
Calculate the lowest common multiple of 1056 and (-89 + 81)*(-652 - -4).
57024
Let s = -233 + 233. Suppose 17*n + n - 36 = s. Suppose -3*a + 9 = -24. What is the least common multiple of a and n?
22
Let z be (-11619)/(-1498) + (-5)/(-15)*-12. Let u = -370/107 - z. Calculate the common denominator of -71/144 and u.
1008
Suppose -111 = 17*b - 145. Suppose 3*p - 5*j - 557 = -169, b*j - 232 = -2*p. What is the smallest common multiple of 11 and p?
121
Let w = -304/1683 - -247931/841500. Find the common denominator of -61/75 and w.
1500
Let i(g) be the third derivative of -g**5/20 - g**4/12 + g**3/3 - 5*g**2. Let f be i(-4). Let y = -18 - f. What is the smallest common multiple of y and 6?
60
Let j = 790/43 - 822697/44548. What is the common denominator of j and 15/8?
2072
Let z(d) = -27*d - 46. Let r be z(-5). Suppose -40 = 84*n - r*n. Calculate the lowest common multiple of n and 56.
56
Let r = 10740 + -214719/20. What is the common denominator of r and 3 + (832/90)/(-4)?
180
Calculate the common denominator of -113/56 and (30/(-24))/(4608/234).
7168
Let r = 36334/255 + -226/255. Let m = 2811/20 - r. What is the common denominator of 151/138 and m?
1380
Suppose -16 = -3*r - k + 2*k, 0 = -3*r + 4*k + 19. Suppose 46*c = 16*c + 600. Calculate the common denominator of 5/2 and 198/c + (r - 7).
10
Calculate the smallest common multiple of 110 and (-8)/(22 - 30) + 131.
660
Let m = -3019/2331 + 9/518. Let l = 6/277 + 789/1939. Find the common denominator of m and l.
126
Let l = 264 + -194. Calculate the smallest common multiple of 440 and l.
3080
Let y = 6501/5 - 116363/90. What is the common denominator of 25/668 and y?
6012
Suppose -26*u = -23*u - 6. Let z = 273397/16 - 17081. What is the common denominator of u/(224/(-21)) - 4/(-1) and z?
16
Suppose 0 = -9*t + 20*t - 121. Suppose 4*p = t + 17. What is the lowest common multiple of 7 and p?
7
Let o = 14/188099 - -7525271/2509616858. Calculate the common denominator of o and -107/14.
13342
Let f be ((-42)/8)/(4/192*3). Let w = 102 + f. Calculate the least common multiple of w and 18.
18
Suppose -4*n + n = 5*z + 713, 3*z - n = -439. Let x = z - -69. What is the smallest common multiple of 36 and 24/5 - x/(-95)?
36
Suppose -3*y + 120 = y. Let d(p) be the first derivative of -p**3/3 - 7*p**2 - 7*p - 57. Calculate the smallest common multiple of y and d(-10).
330
Find the common denominator of 74/105 and (4/(-1050))/((-180)/(-8325)).
210
What is the least common multiple of 2 and 7915*10/50 - 2*3?
3154
Let b(o) = -o**2 - 7*o - 2. Suppose -y = 2*z - 27, 5*z + 24 = 2*y - 3. Suppose -4*j = y - 33. Calculate the least common multiple of b(-6) and j.
12
Suppose 5*a = 6*a - 4, 0 = -3*x + 2*a + 2152. Calculate the least common multiple of x and 150.
3600
Suppose 15*l - k = 16*l + 605, -4*l - 5*k = 2425. Calculate the common denominator of 2/(-15) + 3610/l and -111/506.
5060
Let z = 27338 + -2843241/104. Find the common denominator of z and 71/440.
5720
Calculate the common denominator of -11/14 and (((-97000)/(-960))/97)/(89/4 + -2).
3402
Let x = 4/2159 + 321643/25908. Calculate the common denominator of (100/(-54) + 2)*-24 and x.
36
Suppose 203 = 40*w - 39*w. Calculate the smallest common multiple of 1508 and w.
10556
Let a be ((-2)/(-3))/(6/18). Find the common denominator of 115/55 + -20 + 13 and ((-186)/15)/(0 + a).
55
Let x = -76799/45 + 8201/5. Let s = -11488/171 - x. What is the common denominator of s and 64/9?
171
Suppose 4043 - 4135 = -4*i. What is the lowest common multiple of 110 and i?
2530
Let n be ((-4)/3)/(24/(-36)). Suppose 5*q + 44 = n*a, -q - 2*a = -4*a + 12. What is the common denominator of -35/18 and 373/(-135) + 1 - q/10?
54
Suppose 6*p = 16*p + 20. What is the common denominator of ((-2534)/(-24))/7 + p/6 and (-353)/(-154) + 18/(-42)?
44
Let l = 296 + -301. What is the smallest common multiple of (l/(-2))/((-24)/(-144)) and 20?
60
Let i = 1995 - 39927/20. Let y = 157/20 + i. Calculate the common denominator of 13/5 and y.
10
Let r = -170 + 224. Calculate the smallest common multiple of (-110)/33*r/(-10) and 4.
36
Let z(q) = 58*q**2 + 4*q + 104. What is the smallest common multiple of z(-6) and 2710?
10840
Let q(i) = 2*i**2 + 103*i + 182. Let z be q(-41). What is the common denominator of (-1)/(-4)*z/(-196) and 73/140?
560
Calculate the smallest common multiple of 1664 and (7 - -1)/((-2)/6 + 2490/7200).
8320
Suppose 2*o - 35 = -3*o. Let t = o - -6. What is the smallest common multiple of 3*(-3)/(-12) + 87/12 and t?
104
Let i = 322 + -336. What is the common denominator of -13/10 and 1842/(-9156) - ((-58)/i + -4)?
1090
Let u be 8/36 + 13650/54. Suppose -5*b + u = o, -2*b = -4*o - 16 - 72. Calculate the common denominator of 47/163 and b.
163
Let o = 816 + -260. Suppose 5*x - 186 - o = 2*z, 2*z + 2*x + 728 = 0. Find the common denominator of -115/14 and (3 - z/27)/(3 - 5).
126
Let y(x) = -6*x**2 - x + 55. Let r be y(6). Let m = r + 169. Suppose 3*p + 5*f - 16 = 0, -2*f + 51 - 11 = 4*p. Calculate the least common multiple of m and p.
12
Let n = 3713 + -3681. Suppose 5*k + 99 - 35 = -4*r, -3*k + 2*r = 34. Let t = k - -18. What is the smallest common multiple of t and n?
96
Suppose -16 = -h - 3*h. Let z = 13396 - 13384. What is the lowest common multiple of h and z?
12
Let m = 20746 + -20697. What is the lowest common multiple of 252 and m?
1764
Let r(y) = 2*y**2 - 25*y - 28. Suppose 2*i - 3*i + 18 = -4*u, 71 = 5*i - u. What is the lowest common multiple of r(i) and 64?
448
Let p = 78659 + -47588638/605. Calculate the common denominator of p and -129/440.
4840
Let k be (5 + (-33)/7)*15274/(-15). Let f = -1533/5 - k. What is the common denominator of f and 34/(-3 - -5 - 11)?
9
Let w = 204 - 203. Calculate the common denominator of 19/42 and (-2845)/350 - w - -8.
210
Calculate the common denominator of -33/3790 and (18 - 2560/144 - (-32354)/(-136440))*-2.
3790
Suppose -456 = 2*o - 4*o. Let n be (-2)/19 - 1195855/o. Let s = n + 5233. Find the common denominator of s and -73/16.
48
Let z(r) be the second derivative of -r**4/6 + 2*r**3/3 + r**2 + 2*r. Let k be z(-5). Find the common denominator of -21/2 and k/(-168)*-3 - -4.
14
Let h be -1*(4/(-4) + 2). Calculate the least common multiple of 16 and ((-20)/(-60))/(h/(-36)).
48
Suppose 2*o = 3*f + 12582, 2*f - 7*f - 20951 = 3*o. Let x = -41977/10 - f. Find the common denominator of x and -143/30.
30
Let v = -2/3127331 + 24696533327/656739510. Let h = 473/15 - v. Let q = 2560451/58 - 44147. Calculate the common denominator of q and h.
406
Suppose -3*g - 2 = 4*o, -2*g + 7*g + 2*o - 6 = 0. Suppose 3*k + 7 = v, k =