Let x(t) = -16*t - 1. Let o be x(-7). Let q = -566 - -576. Suppose 110*w - o*w + q = 0. Calculate the smallest common multiple of w and 3.
30
Let t = -2276480/99 + 22995. Calculate the common denominator of -16/3 and t.
99
What is the least common multiple of 96556/18 - (17 + 453/(-27)) and 22?
59004
Find the common denominator of (164/36)/((24000/9)/10) and (-1590)/800 + (-1)/5.
2400
Find the common denominator of 1290/80 + -16 - (-409)/56 and -151/252.
252
Suppose -12 = -11*o + 8*o. Suppose o*t + 3 = -m, -3*m = 2*m + 4*t - 17. What is the common denominator of 99/10 and (-11)/((-66)/24) - 39/m?
10
Let n = -33 + 55. Suppose 5*s - 5*m - 290 = 0, -76*s - 4*m = -75*s - 78. Calculate the least common multiple of n and s.
682
Let z = 19883/1956 - -41/163. What is the common denominator of (488/120 - 4)*(-2 - (-1192)/(-16)) and z?
60
Suppose 10*j + 2*j = -35220. What is the common denominator of 2/15 - j/(-1200) and (-66)/(-4)*(-91)/78?
16
What is the common denominator of 1/5 + (-116444)/1145520 and -59/740?
6660
Suppose -2519*w - 2816 = -3*o - 2523*w, -4708 = -5*o - 3*w. Calculate the least common multiple of o and 708.
2832
Let n(w) = -w**3 - 17*w**2 - 17*w - 250. What is the least common multiple of 4 and n(-18)?
380
Let c = 55 + -50. Suppose 2*r - 48 = -i, 4*r - c*i - 152 = -42. Suppose 3*g = w + 28, 3*g + w - r = -w. Calculate the smallest common multiple of g and 10.
90
Suppose 426348 - 173568 + 590988 = 18*g. What is the smallest common multiple of g and 18?
421884
Let a(p) = -p**3 - p**2 - 3*p - 3. Let d be a(0). Calculate the common denominator of (2 + -1)/((-27)/129) and (477/45)/(d + 7).
180
What is the common denominator of 90/(-999)*(-2169)/(-216) - -1 and -9/37?
1332
Suppose 30*c = -50*c + 2160. Calculate the smallest common multiple of c and (-210)/(-9)*18/4.
945
Let q(g) = 2*g**3 - 37*g**2 - 14*g + 39. What is the smallest common multiple of q(19) and 18?
1206
Calculate the common denominator of -9/265 and (35 - (-3696)/(-105)) + (-632)/(-2650).
1325
Suppose 0 = -9*b + 13*b + 1080. Calculate the smallest common multiple of 2*4*(-3)/(-2) and (-16)/88 - b/33.
24
Suppose 49*h - 50*h = -1. Suppose 5*v - 9 = -44. Let z(k) = -2*k - 8. Calculate the smallest common multiple of z(v) and h.
6
Suppose 0 = 31*c - 26*c - 20. Suppose -1472 = -8*r + c*r. What is the lowest common multiple of 6 and r?
1104
Suppose -8*t = -60 + 29 - 89. What is the smallest common multiple of 33 and t?
165
Let k(c) = -2*c**2 + 24*c - 3. Let f be k(12). What is the lowest common multiple of ((-262)/f + 6)*3 and 2?
280
Let q(r) = 7*r - 28. Let z be q(4). Suppose 2*d - 5*a - 300 = z, -a + 720 = 5*d - 6*a. Calculate the least common multiple of d and 22.
1540
Let a = 79 + -55. Let b be 6/(-21) - (1 + 92/(-28)). Suppose -2*t + 132 = b*t. What is the lowest common multiple of t and a?
264
Suppose -29*z - 3*z = 128. Find the common denominator of 73/108 and 6 - (z + (-564)/(-64)).
432
Find the common denominator of 119/6 and (-2)/(-8 - 0) + (-4 - 1451/(-376)).
1128
Suppose -2*c + 333 - 1 = 4*y, 3*y = 5*c + 236. Suppose -24 = -48*r + 45*r. What is the smallest common multiple of y and r?
328
Let j = -38901025721/2025996 - -5204271/271. Let h = 13/267 - j. Find the common denominator of h and 4867/620 + 8/(-30).
84
Suppose 2*v = 3*u + 26, 16*v - 20*v + 32 = -u. What is the least common multiple of v and 1915?
13405
Let a = -34841 - -2926733/84. Calculate the common denominator of a and -41/224.
672
Let a = 111 + -189. What is the common denominator of a/396*45/3 and -3 + ((-214)/4)/((-1)/1)?
22
Calculate the lowest common multiple of ((-22)/12)/((-88)/32208) and 77.
4697
Let i(r) = r**3 + 5*r**2 + 7*r + 1. Let c be i(-3). Let x(a) = 6*a + 9. Let j be x(c). What is the common denominator of -119/24 and (-212)/180*(j + 8 + -2)?
120
Let z(x) = -x**3 - 16*x**2 - x - 6. Let q be z(-16). Let v be q/(-5) + (30/3 - 3). Calculate the least common multiple of (v - 39/6)/(1/(-2)) and 10.
30
Suppose -241 = -18*k + 281. Let g(m) = m**3 - 29*m**2 + m - 21. Calculate the smallest common multiple of 36 and g(k).
72
Let j be (-1)/((-3)/120*-8). What is the common denominator of -103/18 and 1/(-15)*j - 190/1668?
2502
Let g = 47/16 + -69/16. Calculate the common denominator of -49/400 and g.
400
Let t(n) = -n**2 + 34*n + 35. Let h be t(31). Let a = -123 + h. Calculate the smallest common multiple of a and 38.
190
Let q = -12077/35 - -1756/5. Suppose 3*y - 3*x - 2*x - 79 = 0, 0 = y - 3*x - 21. What is the common denominator of q and 144/y + -2 + -2?
77
What is the smallest common multiple of ((-1)/10)/((-1)/(-2))*(-65 - -55) and 7332?
7332
Let t(w) = 9273*w - 3. Let u = -4 - -6. Let l be t(u). Let g = l - 964277/52. Find the common denominator of -69/8 and g.
104
Suppose -3127*w + 2850 = -3125*w. What is the least common multiple of w and 150?
2850
Let n = -7312/5 - -1455. Let u = -54318/17 + 554318/187. Let z = u + 29875/132. What is the common denominator of n and z?
60
Let v(y) be the second derivative of -293*y**5/10 - y**3/6 + 4*y. Let w be v(-1). Let c = w - 4128/7. Calculate the common denominator of -51/5 and c.
35
Suppose -5*o + 5*f = -4187 - 11638, -3*f + 12702 = 4*o. What is the smallest common multiple of 30 and o?
31710
Let h = 4618 + -3059. Let m = h + -3217/2. Find the common denominator of 49/20 and m.
20
Let x(i) = -2*i**2 + 45*i - 41. Let u be x(21). Suppose 0 = u*w - 17*w - 1410. What is the smallest common multiple of 18 and w?
846
Let o = -147 - -139. What is the common denominator of 46/3 and 21/(-14) - (-2)/o?
12
What is the common denominator of 4/13920*(-12840)/80 and -57/580?
2320
Let o = -19295/144496 - -21/821. Let y = -1190 - -1206. Find the common denominator of o and y.
176
Calculate the common denominator of 45/161 and (3399/7590)/(10/(-25)).
644
Suppose -73207 - 33329 = -12*z. What is the lowest common multiple of 3 and z?
26634
Let s = -5559/4 + 1399. Let t = -24631281029/398440 - -2163741/35. Let j = 2/1423 + t. Calculate the common denominator of s and j.
8
Let q = -28740 + 574751/20. What is the common denominator of (2/20)/(84/1450) and q?
420
Let z = 180 - 177. Suppose -a + 127 = a + v, -z*a = v - 191. What is the lowest common multiple of a and 20?
320
Let h = 21 - 11. Suppose 48*r - 45*r + 6 = -3*d, 0 = -r - 7. What is the least common multiple of h and d?
10
Let t(i) = -i**3 - 26*i**2 - 24*i + 31. Let f be t(-25). Calculate the least common multiple of 10 and ((-136)/f)/(18/(-81)).
510
Find the common denominator of (-49149)/(-11070) - (-221)/(-51) and -91/5535.
11070
Calculate the common denominator of 150/(-42) - (-4)/14 and (-26)/(-6)*((-82)/(-12) + -7)*4.
63
Let z be (154/35)/((-33)/15 - -2). Let w be z/6 - -3 - (-15)/9. Calculate the common denominator of -34/15 and 20/(-130) - ((-124)/(-546) + w).
105
Let j(h) = -h**2 + 81*h - 947. Calculate the lowest common multiple of 18 and j(31).
1206
Find the common denominator of 35/48 and 12/(11520/1212) - 1.
240
Suppose -y + 3170 = 5*f, y - 534 = -2*f + 731. Let l = 3761/6 - f. Calculate the common denominator of -127/12 and l.
12
Let f be (9/(-2484))/((-200)/(-2968908)). Let j = f - -1239/23. What is the common denominator of j and 121/200?
200
Let r = 596/39 + -36769/2184. Calculate the common denominator of (-7 + (-594)/(-96))/((-25)/(-10)) and r.
280
Let v = -292427/20 + 14617. Let p = 27 - 23. What is the common denominator of v and (-1)/3 - p/(1584/1542)?
220
Let g = -3920/20907 + -14/909. Let h = -443/483 - g. Find the common denominator of h and -13/49.
49
Let t = -3172/73 - -238969/5256. What is the common denominator of t and 71/532?
9576
Let k(y) = -36*y**3 - 2*y + 67*y**3 - 4*y**2 - 32*y**3. Let o be k(-3). Calculate the common denominator of -39/10 and 2/o*85/(-180).
270
Let x = 14 + -9. Calculate the common denominator of x/3*(-9)/16 and (9368/1008 - 11) + (-12)/54.
112
Let g = -407 + 413. Suppose g*r = 25*r - 16910. Calculate the smallest common multiple of 8 and r.
3560
Let l = 1350 + -277. Suppose -g = -2*g + l. Let t = 3269/3 - g. Calculate the common denominator of t and 5/6.
6
Let m = -29 - -320/11. What is the common denominator of m and (-50 - (-162254)/3224)/((-3)/(-16))?
429
Suppose 5*h - 1400 = -5*c, h + 223*c - 228*c - 256 = 0. Calculate the lowest common multiple of 44 an