and q.
46
Let m(i) = i**3 + 2*i**2 - 2*i + 1. Let f(v) = 7*v**3 - 5*v**2 - 15*v + 3. Let j(g) = -f(g) + 6*m(g). Calculate the least common multiple of j(17) and 24.
216
Suppose -4*m = -4*q - 124, -4*m + 142 = -41*q + 43*q. Calculate the smallest common multiple of 6 and m.
102
Let k be (31 + -35)*(-45 - 1). Let w = k - 108. Calculate the least common multiple of 16 and w.
304
Calculate the smallest common multiple of -4 - ((-42)/11 - 0) - (-3652)/121 and 252.
1260
Let o = -27163/6 + 4542. Let r be (-9684)/708*(-22)/90. Let z = 3/295 - r. Find the common denominator of o and z.
6
Suppose -3292 = -2*a + 2*n, 10*a + 4*n = 11*a - 1634. What is the smallest common multiple of a and 27?
14850
Find the common denominator of -55/348 and 4047/(-2088) + (-15)/6*(-256)/320.
696
Let k = -260 - -227. Let d = 22 - -12. Let b = d + k. Calculate the lowest common multiple of 15 and b.
15
Let w be (-33958)/(-5)*775/(-1984). Let u = 2650 + w. Calculate the common denominator of (-55)/(-16) - (-1)/4 and u.
32
Let b = 523/2694 - 169103/549576. Find the common denominator of 115/144 and b.
2448
Suppose 4*h - 188 = -4*k, -31 - 70 = -2*h + 5*k. What is the lowest common multiple of 540 and h?
2160
Let t = -1538313297/30856 + 1894719/38. Let j = t - 12/203. What is the common denominator of j and 127/24?
24
Suppose 3*o = -40 + 148. Calculate the common denominator of 377/(-234)*(-30)/(-70) and (2325/o)/5 - 1.
84
Let v = -948/1207 + 13/426. Calculate the common denominator of v and 5/42.
714
Suppose 0 = -15*b - 65*b + 27840. What is the lowest common multiple of b and 84?
2436
Let b = -52 + 63. Suppose -b*z + 121 = -11. Suppose 3*u + 35 - 131 = -4*x, -4*x = -3*u - 96. What is the least common multiple of x and z?
24
Let a = 4028 + -88533/22. Find the common denominator of a and -83/422.
4642
Suppose 65 - 17 = -4*w. Let p be (-390)/12 + w/8 + 2. Calculate the common denominator of 95/74 and -5 + 20/p - 4.
296
Suppose 304 = 4*m + 4*s, -3*m + 4*s - 72 = -272. Suppose -4*t = -0*t - m. Suppose 3*c - t = c. What is the smallest common multiple of c and 3?
9
Let u = 337593/20 - 16876. Calculate the common denominator of 91/8114 and u.
81140
Let i(q) = q**3 + 23*q**2 + 21*q - 28. Let y be i(-22). Let d be 6/y - (-159286)/7644. Let j = d - 3/637. What is the common denominator of j and -6/7?
42
Let o = 5943541/1872 - 41268/13. What is the common denominator of o and 13/63?
1008
Let u be 1/((-2)/(-126)*3). Let f = 83 + -135. Find the common denominator of -35/16 and f/u*(-1 + (-2)/16).
112
Let o be (6/(-4))/((-3)/72). Suppose 2*i + 4*v = o, 0*i + 2*i = 3*v + 57. What is the smallest common multiple of i and -21*(-10)/(-30) - -39*1?
96
Calculate the lowest common multiple of 40 and (18/(-3))/(-1*2/40).
120
What is the common denominator of 71/56 - (-7 + 9) and ((-152)/(-16))/(-2 + 1)?
56
Suppose 0 = -5*h + 2*o - 54, 103*o - 36 = 3*h + 100*o. Suppose -2*i = -4*u - 18, -27 = -5*i - 2. Calculate the smallest common multiple of u/(-2) + 0/h and 4.
4
Let g = -3716 + 3732. Let p = -276 + 446. Calculate the smallest common multiple of g and p.
1360
Let a = 42734/111 + -107/444. Let h = -387 + a. What is the common denominator of (-1)/(-3) + 132/(-45) and h?
20
Let u(w) = 8*w**2 - 95*w + 1. Let b be u(12). Suppose -39 = -b*i + 91. What is the least common multiple of i and (-2)/5 - 67/(-5)?
130
Let z = -7273/65272 - -11/328. What is the common denominator of 68/3 and z?
1194
Let h(l) = 551*l**2 + 70*l - 68. What is the least common multiple of 474 and h(1)?
3318
Suppose m - 2363 = -2*l, -5*l + 5521 + 369 = -m. What is the common denominator of -16/69 and (l/(-288) - -4)/(36/(-208))?
552
Let z(j) = -7383*j - 7. Let q be z(-10). Let o = q + -737559/10. Let g = 378/5 - o. Calculate the common denominator of g and -143/12.
12
What is the common denominator of 133/18 and 1028/15420*1/(18/655)?
54
Let k = -10616 + 27248. Calculate the common denominator of (0 - (-158)/(-6))/(-9 + 15) and (-4)/(-22) - (-5523)/k.
72
Suppose 0*f - 20041 = -3*p + 5*f, p - 6703 = -4*f. Let b = p - 240709/36. What is the common denominator of -83/32 and b?
288
Find the common denominator of 12/(1008/322)*3/(-6998) and -83/16.
55984
Let f(b) = -b**2 + 3*b + 43. Let l be f(7). Suppose -2*y - 2*w + 10 = w, 5*w = 3*y - l. What is the smallest common multiple of y and 17?
85
Suppose -7*t + 120 = -2*t. Calculate the common denominator of -2 - 41/t - 0 and 4 - 3868/336 - 24/(-56).
24
Suppose 0 = 2*y + 19 + 7. Calculate the common denominator of y - -8 - 206/(-84) and -62/33.
462
Let y = -8 - -13. Suppose y*c + 1 = 21, 3*t + 5*c - 8 = 0. What is the least common multiple of 39/(-26) + (-42)/t and 1?
9
Let n = 2176 - 2065. Calculate the smallest common multiple of 63 and n.
2331
Suppose 1520 = 5*c - 9*c. Let s be (-2)/1674*15/c. Let j = s - -146069/63612. What is the common denominator of -127/6 and j?
54
What is the common denominator of -81/700 and ((-9)/12)/(53550/12308)?
2100
Calculate the smallest common multiple of ((-81)/(-6))/(3/6) and 36*(5/((-20)/(-3)) - 0).
27
Find the common denominator of (-8 + (-688)/(-128))/((3933/12)/(-1)) and 145/96.
41952
What is the smallest common multiple of 2814 and (-1)/(-3) + ((-14376)/(-72) - -1)?
2814
Let a = 29 - 17. Suppose -21*p = 11*p - 13704 + 5192. What is the least common multiple of a and p?
1596
Suppose -4*a = -7*a + n + 36524, 4*n - 16 = 0. Suppose 44516 - a = 55*d. What is the least common multiple of d and 18?
1764
Let d = -329383/14 - -23529. Calculate the common denominator of d and 1462/364 + 4/(-14).
182
Let c = -10203 + 10401. What is the least common multiple of c and 132?
396
Suppose -3*k = 5*p + 12 + 10, -3*p = -5*k + 20. Let r(t) = -t**3 - 5*t**2 - t - 6. Let i be r(p). What is the common denominator of 91/10 and 4/3*(154/64 + i)?
40
Let p be (144/60)/(4/30*-1). What is the common denominator of (2 + 39/p)/(2/(-93)) and 85/4?
4
Suppose 28*c - 4446 = 7874. What is the smallest common multiple of 80/c - 1582/(-11) and 144?
144
Suppose -32*r - 12224 + 60864 = 0. What is the lowest common multiple of 44 and r?
16720
Find the common denominator of (-6591)/(-1870) + -3 - (-4)/(-5) and (58/54 - 1)/((-52)/(-2769)).
3366
What is the common denominator of 43/771 and 128/81*(-270)/(-180)?
6939
Let u(i) = i**2 + 2*i - 3. Let v be u(-3). Let l be -8*1/(-4)*1. What is the smallest common multiple of 3 and (v - 2) + (-1 + l)*17?
15
Let z(n) be the third derivative of n**5/6 - 11*n**4/24 + 11*n**3/3 - 37*n**2. Calculate the lowest common multiple of 56 and z(2).
280
Let p = 283156625064 - 492692509261823/1740. Let x = p + -52729/5. What is the common denominator of x and 11/14?
2436
Let p = -532655/248496 + -12/5177. Let d = 9434/975 - 3/325. What is the common denominator of p and d?
48
Let u(q) = 8*q**2 + 13*q - 13. Let n be u(-12). Suppose 329 + n = -4*d. Let s = 2021/6 + d. What is the common denominator of 31 and s?
6
Let t be 22/4*(5 + -10 - 1). Find the common denominator of (12/(-2) - t)/(-20) and -119/6.
60
What is the lowest common multiple of 110/(-1155) - (-1136)/21 and 1?
54
Let l be (-36)/16*64/(-48). Suppose -f + 4*v + 24 = 0, -3*f - l*v = f - 1. What is the smallest common multiple of 124 and f?
124
Let m = -5022/17 + 179687/612. Find the common denominator of m and -47/123.
1476
Let c(f) = 37*f - 13. Let k be c(-5). Let j be -4 + 16 + 3 + 0. Calculate the common denominator of 21/8 and (-24)/8 - (-2 + j/k).
264
Suppose 69 = -21*x + 216. What is the common denominator of (60/(-198))/(x/(-28)) and -53/45?
495
Calculate the common denominator of 297/(-4)*(-8 + -3)/(-2112) and 7/144.
2304
Let k = -2337/572 - -85/44. Let s = -159617/4884 + 1279/111. Let b = -77/4 - s. Find the common denominator of k and b.
143
Let f(q) = 23*q - 5 + 27*q - 51*q - 3. Let l = 405 + -371. Calculate the least common multiple of l and f(-12).
68
Let h = -51/13 - -79/26. Calculate the common denominator of h and (-2*1/14)/(12 + (-230520)/19180).
234
Suppose -4*w = 2*b - 2*w + 24, b + 2*w = -12. Let f be (-168)/3*(-9)/b. Let c = 64 + f. What is the least common multiple of c and 8?
88
Let i = -12904029251/792 - -294473611/18. Let o = -66680 + i. Find the common denominator of o and 4/77.
616
Let y = -120067 + 275793904/2297. Let x = y + 153824/34455. Find the common denominator of -7