*z + 21. Let a be b(2). Suppose 9*u + 0 = a. Calculate the least common multiple of u and 11.
11
Suppose 2*r + k = 6*k + 13, -3*r + 13 = -k. Calculate the least common multiple of r and 22.
44
Let u = -41 + 105. What is the common denominator of 148/111*46/u and 40/9?
72
Let s be 479163/(-28350) - 2/7. Let n = -14/675 - s. Let j = -2084795/249466 - 2/17819. Find the common denominator of n and j.
42
Let l = 2219/88 - 221/11. Let s(u) = 5*u + 13. Let v be s(-9). What is the common denominator of -3 + (-22)/v - -3 and l?
16
Let o(q) = -q**2 - 8*q - 6. Suppose -2*u - 28 = 2*u. Let c be o(u). Calculate the smallest common multiple of 10 and c/((12/4)/33).
110
Let l = 639729/56672 + -867/77. What is the common denominator of 23/4 and l?
736
Let g = -1128 - -95903/85. Calculate the common denominator of g and 1/357.
1785
Let k = -53/134 + -3049/1608. Calculate the common denominator of -131/24 and k.
24
Suppose 5*u + 6 + 9 = 0, 210 = -3*h + 2*u. Let g = -70 - h. Suppose -5*p - 36 = -4*v, v = 3*p - 6*p - 8. Calculate the least common multiple of v and g.
4
Suppose -3*o + 20 = 2*o. Suppose o*r + 5 - 17 = 0. Let p(t) = -8*t + 9. Calculate the smallest common multiple of r and p(1).
3
What is the common denominator of ((-2)/4*-1)/((-45)/(-410)) and (1/(-9))/((-6)/819)?
18
Suppose -7*k + 1716 = 5*c - 4*k, 3*c = -4*k + 1023. What is the least common multiple of 24 and c?
2760
Let o = -477 + 489. Let w = -64 + 96. What is the lowest common multiple of w and o?
96
What is the common denominator of -13/48 and 55/44 + (-18)/4?
48
Suppose -x - 2*x - 3 = 0, -124 = -3*r - 5*x. Let s(d) = -7*d + 19. Let g be s(13). Let o = g + 73. Find the common denominator of o and r.
1
Let a = -21 + 24. What is the common denominator of (-93)/2 + a + -6 and -55/8?
8
Let b = -68/19 + 2441/114. Calculate the common denominator of b and 116/(-8)*(-2)/7.
42
Suppose -4*d + 3 = 3*j, -3*d - 2*j = j - 3. Suppose d*v - v - 7 = 4*z, 1 = v. What is the least common multiple of 18 and (2 + -5 - -11) + z?
18
Let f(x) = -x + 45. Let y be f(-13). Suppose -2*c - c = 5*n - 44, -y = -5*n + 4*c. Calculate the lowest common multiple of n and 22.
110
Calculate the smallest common multiple of 8 and (3 - (-21)/(-9))/((-11)/(-198)).
24
Let a be (-4365)/1454 + (0 - -3). Let m be (-3)/(-13086)*(-105442)/3. Let s = a - m. Find the common denominator of -23/20 and s.
180
Let f = 15118 - 8867. Let b = 2588 - f. Let o = 73329/20 + b. Calculate the common denominator of 95/4 and o.
20
Calculate the lowest common multiple of 108/81 - (-1 + (-4)/6) and 224.
672
Let p = 6 - -14. Suppose p = 2*i - 2*v, 0 = 3*i - 0*i - v - 38. Suppose -5*f + 73 = -2*t - 5, -69 = -4*f - 5*t. What is the least common multiple of f and i?
112
Let l = -690 + 34501/50. Find the common denominator of l and -59/330.
1650
Let b = 5554103/102 + -54453. Find the common denominator of -81/14 and b.
714
Calculate the common denominator of (-67)/(-12) + (-12)/(-24) - -1 and 31/48.
48
Suppose 5*j + 540 = j. Let p = 442711/18 + -24603. Find the common denominator of p and (6/(-10))/((-66)/j).
198
Suppose 0 = -4*d - 0*d + 56. Suppose 0 + 48 = 4*b. Calculate the smallest common multiple of d and b.
84
Let o = 28 - 158/5. Let p = -28/271 + 11877/2168. Calculate the common denominator of p and o.
40
Let b(w) = -10*w - 172. What is the lowest common multiple of 54 and b(-19)?
54
Let q(i) = i**3 - 7*i**2 + 2*i - 12. Calculate the lowest common multiple of q(7) and 14.
14
Let t(d) = 2*d - 6. Let n be t(6). Let g(x) = -34*x - 31. Let l be g(-1). Suppose -n*r + 48 = -l*r. Calculate the smallest common multiple of 12 and r.
48
Let n = 75 + -53. Suppose -6*m - 267 = -4*u - m, 0 = 4*u + 5*m - 237. Let w = u - 53. What is the least common multiple of n and w?
110
Find the common denominator of (-6)/8*(5 - (-3679)/(-1365)) and 69/350.
350
Suppose 2*f = -4*i + 211 + 147, 4*i - 3*f - 363 = 0. What is the smallest common multiple of 10 and i?
90
Let r = 295 + -291. What is the lowest common multiple of 490 and r?
980
Suppose 73 = -4*q - 19. Let p(h) = 8*h - 77. Let x be p(6). Let y = q - x. What is the least common multiple of 4 and y?
12
Find the common denominator of 131/72 and ((-36)/(-180))/(221/(-215) + 1).
72
Suppose 5*u = -833 - 797. What is the common denominator of (-1)/4 - (-4)/(-352)*u and 2/7?
77
Let h(o) = -2*o**3 - 17*o**2 - 22*o + 5. Suppose -g + 2 = -0*g. Calculate the least common multiple of g and h(-7).
12
Let g be 110 - 2*3/(-6). Let d = 123 - g. What is the lowest common multiple of 18 and d?
36
Let m = 17019/14 - 1220. Let a = -6076 + 2981. Let r = a - -31027/10. Find the common denominator of m and r.
70
Suppose -5*i + 5*w = -285, 6*w - 48 = -i + 10*w. Calculate the least common multiple of i and 6.
60
Calculate the common denominator of 82/405 and ((-9831)/24860)/((-6)/(-8)).
4455
Let z(y) = -27*y - 16. Let c be z(14). Find the common denominator of 14/33 and c*(-5)/(-180) - -3.
198
What is the common denominator of -9/64 and (-106)/(-32) - (-256)/(-192)?
192
Let q be ((-1)/(-13831))/((-1)/25). Let k = q - -61022547/96817. Let l = 89101/140 - k. Calculate the common denominator of -59/8 and l.
40
Let j = -5769/172 + 378/43. Find the common denominator of -61/4 and j.
4
Suppose 5*s = -2*x - 11, -5*s + s + 8 = -4*x. Let q(o) = -20*o + 4. Calculate the least common multiple of q(s) and 18.
72
Let a = 398 + -394. Calculate the least common multiple of 2 + 31 + (-8 - -5) and a.
60
Let a be ((-55)/30)/(1/(-45)). Let s = -37 + a. Find the common denominator of s and -29/114.
114
Suppose -100*g - 64 = -364. What is the least common multiple of g and 9?
9
Let h be ((-6)/(-18))/((-2)/(-186)). Let s = h - 16. Calculate the least common multiple of 20 and 8/(-20) + 66/s.
20
Let l(p) = 24*p - 278. What is the smallest common multiple of l(12) and 485?
970
Find the common denominator of 1/21 and (-3)/(-105)*((-990)/12)/5.
210
Let t = -3321/20 + 707/4. Find the common denominator of 300/(-225)*(-53)/8 and t.
30
Suppose k - p - 11 = 4, -3*k + 35 = -p. Let l(s) = -s**2 + 5*s - 7. Let w be l(3). Calculate the smallest common multiple of (-3)/(3*w/4) and k.
20
Let s be ((-21)/6 - -4) + 357. Let w = s + -338. Let i = -42/85 - 3239/1530. What is the common denominator of w and i?
18
Let b(r) = -r**3 + 5*r**2 + 15*r + 4. Let h = -27 - -29. Calculate the least common multiple of h and b(7).
22
Calculate the common denominator of ((-13)/4836)/(-1 - 1315/(-1340)) and -145/42.
6510
Let p be (-1006174524822)/9740 + 3/2. Let r = p + 103303336. Let u = r - -2/487. Calculate the common denominator of u and -93/8.
40
Calculate the common denominator of ((-8)/(1680/(-485)))/(2/6) and ((-750)/(-16))/((-45)/(-20)).
42
Let p be (6/21)/(1/7). Suppose 0*r + r - 4*b = 251, p*r - 514 = 2*b. What is the common denominator of -21/4 and r/(-231)*(-6)/(-4)?
44
Find the common denominator of 11/105 and (-384)/(-448) - 542/560.
840
Let g = -1207 - -1245. Let l(p) = -p**2 - p + 27. Let o be l(0). Let d = g - o. Calculate the lowest common multiple of 16 and d.
176
Let h = -4950/29 + 175213/1044. Find the common denominator of h and -32/87.
1044
Let o(f) = -f**2 - 8*f + 4. Suppose -2*x - 12 = x. Calculate the smallest common multiple of o(x) and 2 + 12 + 0/(-2).
140
Let h be ((-2)/5)/(2/(-10)). Suppose -h*v - o - 11 = 0, o = 2*v + 14 - 1. Calculate the least common multiple of 2 and ((-2)/v)/(1/3).
2
Suppose -5*w = -4*n + 91, 0*w + 2*w = 5*n - 50. Let z = 21 + w. Suppose -z = -4*d + d. What is the least common multiple of d and 8?
8
Let k = 21 - 14. Suppose 14*t = 11*t + 45. What is the least common multiple of k and t?
105
Let a(s) = 2*s**2 + s - 69. Calculate the lowest common multiple of 36 and a(7).
36
Suppose -2*a = -3*g + 12, 2*g - 3*g - 30 = 5*a. Calculate the common denominator of -45/11 and ((-366)/162)/((-4)/a).
198
Let f = -467/11 + 435/11. Calculate the common denominator of f and 6370/420 + (-2)/4.
33
Suppose 0 = -k + 6*k + 55. What is the common denominator of ((-2)/5)/(4/(-35)) and (-3)/k*(-70)/(-4)?
22
Suppose -q + 4*m = -0*m + 42, m + 5 = 0. What is the common denominator of (7/((-392)/(-36)))/(6/q) and -69/22?
154
Suppose -c - 8 = -3*c. Suppose 3*s + c*s - 56 = 0. Suppose 0 = -2*o - 2*o + 20. Calculate the least common multiple of s and o.
40
Let l(s) = -3*s**