t a(z) = 47*z - 31. Let b be a(-1). Calculate the common denominator of (-12)/(-64)*(1 + 45) and b/182*(-357)/6.
8
Suppose 0 = -32*d + 20*d - 108. Let h(c) = -7*c - 54. What is the smallest common multiple of h(d) and 9?
9
Let n = 3451 + -3416. What is the least common multiple of 110 and n?
770
What is the common denominator of (1326/204)/(((-5)/(-10))/((-14)/1504)) and 73/20?
3760
Let y = -64420/21 - -3069. Calculate the common denominator of (2/3)/((-144)/328) and y.
189
Let q = -1783/15 + 661/6. Find the common denominator of q and -2 + (-6153)/(-1182) + -3.
1970
Let c = -28 - -33. Let b be (c + -9)/(0 + (0 - 2)). Suppose b*d = 19 + 37. Calculate the least common multiple of 4 and d.
28
Suppose 3*s - 5*u + 45 - 3 = 0, -2*s + 2*u - 28 = 0. Find the common denominator of s/(-16)*532/462 and 103/24.
264
Let l = 15629/5280 - 3/1760. Let n = 1300 + -10501/8. What is the common denominator of l and n?
24
Let d(s) = -379*s. Let x be d(-7). Let o = -3/132889 - -2829073945/1063112. Let u = o - x. Find the common denominator of 27/14 and u.
56
Suppose -11*i - 74 + 8 = 0. Calculate the common denominator of -63/20 and 4 - i/864*-706.
360
Let v(i) = -14*i**2 - 53*i + 99. Let c be v(2). Suppose 0 = 4*k + 424 + 44. Let m = c - k. What is the smallest common multiple of m and 16?
432
Let g = 8289 + -8269. Calculate the lowest common multiple of g and 1420.
1420
Let m = -2060 + 1456. Find the common denominator of 31/6 and 24/(-84) - m/840.
30
What is the least common multiple of 42 and 1414*-3*30/(-315)?
8484
Let o(f) = -16*f + 295. Let p = 42 + -8. Calculate the smallest common multiple of o(11) and p.
238
Suppose -5*m + 275 - 128 = 4*t, 0 = 4*t + m - 183. Let o(y) = -y**2 - 7*y - 2. What is the least common multiple of o(-5) and t?
48
What is the least common multiple of -980*(-2 + 0/9) and 3528?
17640
Let h = -3248 + 3284. What is the least common multiple of 324 and h?
324
Let p = -405 + 394. Find the common denominator of p/(44/102) + (-1 - -3) and -83/420.
420
Calculate the common denominator of -89/104 and (-33335)/3328 + (-520)/(-52).
3328
Let w = 193/4 + -73. Suppose -13 = -5*k + 7. Calculate the common denominator of (166/42)/(k/(-6)) and w.
28
Let i = 35/622 - -17789/9952. What is the common denominator of i and (0 + 2)/(-2) - (-18693)/6696?
96
Suppose -3*y + 0*y = -24. Let d(z) = y*z**2 - 6*z**2 - 8 + 23*z + 12*z**2 + z**3. Calculate the least common multiple of 58 and d(-12).
116
Let q(m) = 1247*m**2 - 146*m + 425. What is the smallest common multiple of 10 and q(3)?
11210
Let l(o) = 11*o**3 + 4*o**2 + 9*o + 2. Let r be l(-3). Let z = 302 + r. Calculate the lowest common multiple of z and 16.
16
Let y = 2210/7 - 637/2. Find the common denominator of -81/938 and y.
938
Let k = -99781/41160 + -4/5145. Let j be (-4)/6 - 1919/(-3). What is the common denominator of k and 3*(-3)/(-24)*j/(-27)?
40
Let h(z) = -307*z - 3621. Calculate the least common multiple of h(-12) and 154.
1386
Let h = 3141 - 3110. Calculate the least common multiple of h and 403.
403
Find the common denominator of -1/266 and (-48)/128*2*(-248)/105.
1330
Find the common denominator of -91/10 and ((-6660)/(-1123560))/(2/(-2)).
31210
Let s(l) = -258*l + 172. What is the lowest common multiple of s(-3) and 172?
1892
Let b be (-3)/(-1) + 74315/(-29680). Let n = 45/112 - b. Find the common denominator of n and 7 - (200/(-55) + 7).
583
Suppose 0 = 8*d - 62 + 14. Let f = 13 - d. Calculate the lowest common multiple of 6 and f.
42
Suppose w - 46 = -5*d, 4*w - 4*d = 18 + 118. Let k be 70/3*45*15/w. Let i = -1268/3 + k. What is the common denominator of i and -64/3?
6
Find the common denominator of ((-6)/80)/((-114)/(-171)) and (340/(-1666))/(96/(-266)).
1680
Let z = 19 + -8. Suppose 0 = -36*h + 12*h + 144. Calculate the lowest common multiple of z and h.
66
Suppose 5*q = 20, -4*l + 439 - 111 = 2*q. Let j = l + -37. Let u = -13 + j. Calculate the least common multiple of 4 and u.
60
Suppose 3*f - 4*f + 5*h + 12 = 0, 0 = 2*f + h - 2. Calculate the common denominator of (992/279)/((-20)/4 - 1) and -4 + f/(-72)*-33.
108
Let a = -373493/1116 + 3014/9. Calculate the common denominator of a and -69/1004.
31124
Suppose 9*l = 3*l + 40*l - 102. Let h(m) = -m**2 + 8*m + 26. Calculate the least common multiple of h(10) and l.
6
Let q(n) = 3*n**2 + 11*n + 99. Let a(y) = -6*y**2 - 25*y - 199. Let i(r) = -3*a(r) - 5*q(r). Calculate the least common multiple of i(-6) and 30.
90
Let u = 24416 - 2637067/108. Calculate the common denominator of u and 79/364.
9828
Suppose 0 = -o - 2*m + 12, -2*o - m + 48 = -5*m. Suppose 15*d - 6 = o*d. Find the common denominator of 17/22 and (51/9)/(d/3).
22
Suppose 356*g - 1 = 355*g. Calculate the lowest common multiple of (g/(-2))/(18/(-45))*60 and 4.
300
Let f(b) = b**2 - 15*b - 85. Let c be f(20). Let w = 17 - 25. Let z = w + c. What is the smallest common multiple of z and 23?
161
Let p be (2/(-3))/(27/81). Find the common denominator of -41/50 and 1569/1485 - p/(-18).
550
Let b be 3*(5 + 312/(-18)). What is the common denominator of 421/(-60) + (-2)/5 and (b/(-222))/(2/(-238))?
12
Suppose -2*m = -7*m - 2*a + 150, 2*a = 5*m - 130. Calculate the common denominator of (78/16)/(m/(-48)) and -77/38.
266
Let c be (2/17 - 696/136)*132. Calculate the common denominator of -38/3 and (-8)/30*c/(-456).
57
Suppose -7*v + 169 + 34 = 0. Let g = v + -39. Calculate the common denominator of g/(-3) + 28/16 + -1 and -68/21.
84
Suppose t + 282 = 5*f, 0*t + 2*t = 5*f - 284. What is the least common multiple of 18 and (-1 - 29164/(-14)) + (-8)/f?
6246
Let j(h) be the second derivative of -h**3/3 + 17*h**2/2 - 3*h. Let k = 53 + -39. What is the least common multiple of k and j(6)?
70
Let n(q) = -586*q + 2950. Suppose -52 = -2*v - 3*x - 2*x, -5*v - 4*x + 130 = 0. What is the least common multiple of v and n(5)?
260
Let g = -92 - -58. Let b be -5 + g + (-6)/2. Calculate the common denominator of b/112*(19/(-87) - 1) and -105/22.
1276
Let g = -105/1262 + 184969/145130. Let q = 5/46 + g. Calculate the common denominator of q and -51 + 60 + (-288)/15.
10
Let t be 947991/60 + (4 - -4). Let c = 15803 - t. Calculate the common denominator of c and -31/34.
340
What is the common denominator of 26/143 - (-19166)/(-116424) and -107/36?
756
Let c(j) = 2*j**2 + 6*j - 6. Let p = 381 - 381. Suppose p = -2*q - 3*q + 190. Calculate the lowest common multiple of c(-6) and q.
570
Suppose -2*x - r + 17 = 0, -5*x + 18 + 17 = -5*r. Suppose -5*l - 165 = -16*l. What is the lowest common multiple of l and 2/x - ((-889)/28 - -5)?
135
Let h = 2535 - 1799. Suppose -4*r - 720 = -h. What is the least common multiple of 12 and r?
12
Let t = 172 + -217. Calculate the common denominator of 17/9 and (-8)/t - (-2)/6.
45
Let v(z) = -z**3 + 25*z**2 - 22*z + 16. Let y(n) = n**3 + 7*n**2 + 3*n - 5. Let x be y(-4). Let u = -21 + x. What is the lowest common multiple of u and v(24)?
320
Let u(t) = -t**2 + 9*t + 19. Let i be u(8). Suppose 29*v - 12 = i*v. Suppose 0 = -v*y + 13 + 23. What is the lowest common multiple of y and 9?
18
Let h(b) = 197*b - 1138. What is the least common multiple of h(6) and 396?
396
Let a = -411 - -416. Let t(l) = 8*l - 4. What is the lowest common multiple of 8 and t(a)?
72
Let p = -1184/117 - -68/13. Find the common denominator of 18*(-40 - 100083/(-2502)) and p.
1251
Suppose 0 = -16*g + 15*g + 33. Let j = 1333 + -1108. Calculate the smallest common multiple of j and g.
2475
Let f = -6/5875 + -20314/3119625. Let t = -18601/2124 - f. What is the common denominator of t and 3/20*(-22)/(-3)?
20
Let y(f) = -f**2 + 13*f + 73. Let s be y(17). Find the common denominator of s + (-39)/(-4) + (-8)/(-2) and -25/8.
8
Suppose t - 31 + 25 = -q, 0 = -3*q + 5*t + 18. Let x = -45/32 + 561/160. What is the common denominator of ((-7)/(-5))/((-1 - q)/7) and x?
10
Let q = 27 + -22. Suppose -h + 2*r = -7 - 6, -43 = -4*h + q*r. Calculate the lowest common multiple of ((-3)/(-2))/((-18)/(-84)) and h.
7
Suppose -2*x = -4*c + 176, -54*c - 4*x - 16 = -55*c. Calculate the least common multiple of 8964 and c.
35856
Let u(r) = -26*r**2 + 129*r - 16. What is the smallest common multiple of u(4) and 124?
2604
Let x = 620152/15 - 12092917/240. Let k = x - -9049. Calculate the common denominator of k and -37/80.
80
Let x be 