pose -9*k - 27 = -9. Let q be (2/4)/(k/8). What is the common denominator of (1220/(-240))/(q/(-6)) and 19/14?
28
What is the common denominator of 30/6 - 984/180 and -139/90?
90
Let p(q) = 12*q**2 - q - 41. Let z be p(-6). Calculate the common denominator of 2 - (-4)/(-576)*z and -55/48.
144
What is the least common multiple of ((0 - 4)/(-4))/((-7)/(-18067)) and 979?
28391
Suppose 2*y = 4*o, -3*y = -0*y + 2*o + 24. What is the common denominator of (-2640)/(-864) - 2/y and -61/126?
126
Suppose -50*k - 80*k - 35*k + 5280 = 0. Suppose m + m - 4*z = 40, 0 = -5*m - 3*z + 48. What is the smallest common multiple of m and k?
96
Suppose 60*c - 57*c - 45 = 0. Calculate the common denominator of 51*1/c + 5 and -26/3.
15
Suppose 53*j - 558 + 28 = 0. Let f = 2 - -5. Calculate the least common multiple of f and j.
70
Suppose 4*k = k + 12. Suppose -17 = -k*v + 15. Calculate the smallest common multiple of v and (0 + -1)/(15/5 - 4) - -3.
8
Let z = 4 - 7. Find the common denominator of ((-13)/4 - -2)*((-122)/(-5) + -5) and (-59)/(-42) + 2/z.
84
Let y(a) = 22*a - 322. Let p be y(18). Suppose 2*t = 4*g - p, 0 = 2*t + 6 - 4. Calculate the least common multiple of 20 and g.
180
Let l be (-1 - (-1208)/1240)*5/(-2). Let w = 397/868 - l. Calculate the common denominator of w and 145/6.
84
Let o = 1361 + -6819/5. What is the common denominator of (-2)/5 - 133/(-720) and o?
720
Let r = 13616 + -13607. What is the smallest common multiple of 1114 and r?
10026
Let z = 2986 - 203121/68. Calculate the common denominator of 921/170 + 6*(-4)/204 and z.
340
Suppose 0 = -4*b - 10 - 22. Let s = -124/569 + -58097/28450. Find the common denominator of 10/8*(-20)/b and s.
200
Let i = -5937 + 5947. What is the lowest common multiple of i and 6?
30
Suppose -5*f - 3*h = -69, -3*f + 24 = 3*h - 21. What is the smallest common multiple of f and 90/(-4)*766/(-3447) + (-1*3 - 1)?
12
Let p(z) = -28*z**2 - 109*z + 30. What is the least common multiple of p(-4) and 27?
54
Let d = 2315 - 2287. What is the least common multiple of d and 10?
140
Suppose -18*n + 16*n - 84 = 0. Let t = 6 - 46. Let k = t - n. Calculate the smallest common multiple of 22 and k.
22
Let y be (-2)/11 - (-40680)/(-715). Let k = -4817/91 - y. What is the common denominator of k and 154/21 + 1 + 0/14?
21
Let m be ((-30)/(-1900)*39175/(-2))/(-42). Let g be (2/(-228))/(77/99). Let w = g - m. Find the common denominator of w and -33/14.
56
Let k(i) = i**3 - 6*i**2 + 11*i - 21. Let q be k(4). Calculate the lowest common multiple of (q/(-9))/(2/56) and 35.
140
Let r(m) = -m**3 - 7*m**2 - 5*m - 7. Let n be r(-6). Let q = -6222 - -236467/38. What is the common denominator of 290/(-12) - (n + 13) and q?
114
Let i(u) = -u**3 + 5*u**2 + 12*u - 32. Let g be i(6). Suppose 221 + 11 = 2*b + g*s, 0 = -5*b + 4*s + 622. Calculate the least common multiple of b and 8.
488
Let p = -19759/6 - -3293. Calculate the common denominator of p and 52/21.
42
Let f = 67/78 - 267/104. Let x be 1*(-5)/(25/(-60)). What is the common denominator of (x - 7)*1/(-33) and f?
264
Suppose 16977 - 3989 = -2*o. Let f = -1103957/170 - o. Find the common denominator of f and 29/187.
1870
Let x = -11/1406 + 37/266. Find the common denominator of 44/1295 and x.
1295
What is the common denominator of 24/252 + (89170/(-2100) - 4/30) and 125/6258?
6258
Find the common denominator of -208*2419/(-4517040) - (-2)/(-29) and 163/264.
1320
Let y = 47/275 + -17381/13200. Find the common denominator of y and 15/6*2 - 457/80.
240
Let x = -2091 - -2163. Calculate the lowest common multiple of 144 and x.
144
Find the common denominator of 2 + 1 + 345319/(-113090) and 35/3.
1290
Let i = 33 - 15. Suppose -621*j - 14 = -618*j - 56. Calculate the smallest common multiple of j and i/(-12)*40/(-3).
140
Let o = -1083011/1124200 + 695/803. Find the common denominator of o and -39/1225.
9800
Let u be 2/(32/9)*(-2904)/(-180). Let f = u + -41/5. Find the common denominator of 417/(-126) - 6/(-9) and f.
56
Let n = -161011227184967/26525335554802 - 78328/56116661. Let m = 2/33763 + n. What is the common denominator of m and -49/4?
28
Let d = -2/18043 + 1208923/378903. Find the common denominator of d and -88/105.
105
What is the smallest common multiple of -60 + 89 + 26/2 and 224?
672
Let k = 206174 + -611948/3. Let z = 2171 - k. What is the common denominator of 7 + (-21540)/2200 + (-2)/(-22) and z?
30
Suppose 4*x = -5*o + 100, 7 = 5*x - 18. What is the lowest common multiple of o and (48/21)/((-8)/(-24)*(-21)/(-49))?
16
Let k = -31 - -30. Let q be ((-970388)/(-168))/k + 5. Let o = 5773 + q. Calculate the common denominator of -17/30 and o.
210
Let o = -3 + 5. Let z(p) = p**2 - 149*p - 1248. What is the lowest common multiple of z(-8) and o?
8
Calculate the least common multiple of 16 - -1 - 96922/(-86) and 308.
8008
Let d = -59407/127305 - 7/943. Calculate the common denominator of 47/1017 and d.
15255
Suppose 0 = -g + 3*j - 39, 2*g - 3*j + 60 = -6*j. What is the common denominator of 6/g*45/96 and 97/20?
880
Let l = 1597288/87 + -18360. What is the common denominator of l and (0 + (-7)/3)*(-60)/(-294)?
609
Suppose -4*x + 3*t + 35 = 0, 7*x - 2*t - 42 = 2*x. Suppose 7*s = 28 - 0. What is the smallest common multiple of ((-4)/(-10))/(s/100) and x?
40
Let b(h) = -2*h**3 + 19*h**2 - 7*h - 6. Let t be b(9). What is the common denominator of -39/7 and (0 + t/7)*(-76)/(-108)?
63
Suppose 60*m - 3*v - 123 = 55*m, 4*m = v + 97. Suppose 5*j + 78 = 208. What is the smallest common multiple of m and j?
312
Suppose -3*d + 2*z - 1137 = 0, -7*d + 1908 = -12*d - z. Let g = 405 + d. Calculate the least common multiple of 18 and g.
72
Suppose -5*y = 6*y + 660. Let q = y + 61. What is the common denominator of ((-78)/36 + 0)*(q - 0) and -36/5?
30
Let g(b) = b - 1. Let u(s) = s**2 - 15*s + 12. Let j(t) = -2*g(t) - u(t). Calculate the smallest common multiple of j(9) and 91.
182
Suppose 0 = -5*r - 5*z + 240, -3*r + 31*z = 29*z - 104. Let o = 4 + 2. Suppose 0 = 3*p - o - 0. What is the least common multiple of r and p?
40
Let h = -19295327/236 + 81760. What is the common denominator of h and -5/44?
2596
Let k be (-21)/9*4/(-14)*3. Suppose o = -4*a + 33, k*a - 6 = -5*o + 15. Calculate the lowest common multiple of a and 16.
16
Suppose -92*i - 27*i + 10*i + 632636 = 0. Calculate the smallest common multiple of 6 and i.
17412
Let o(h) = h + 8. Let i be o(-8). Suppose -5*w - 29 = -j, 6 = 3*w - i*w. Let v = j - 27. Calculate the lowest common multiple of v and 22.
132
Suppose -112 = -4*j - 4*c, 0 = -4*c + 7*c + 6. Suppose 5*x + w + 3*w = 428, -4*x - 2*w + 340 = 0. What is the lowest common multiple of x and j?
420
Let q(v) be the third derivative of v**4/12 - 8*v**3/3 - 29*v**2. Let a be q(15). Suppose -6*t = -13*t + a. What is the smallest common multiple of 4 and t?
4
Suppose -7*c + 20 = 6. Find the common denominator of c + -10 + 2594/315 and 77/36.
1260
Suppose -2*m + 4 = -4. Suppose -m = -h - h. Let u(o) = -1177*o - 96504. What is the smallest common multiple of u(-82) and h?
10
Let h be (-726)/77 - 4/7. Suppose -4*g + 3*g + 5*d - 25 = 0, -2*d - 152 = 5*g. Let i = h - g. Calculate the lowest common multiple of i and 10.
20
Let v(y) = 39*y + 13. Let q be v(9). Let r = q + -172. What is the lowest common multiple of 20 and r?
960
Let y(d) = d**2 + 40*d + 696. What is the lowest common multiple of 3090 and y(-18)?
30900
Let y = 174665/22 - 7941. Calculate the common denominator of y and 5/154*(44/(-10) + 9).
154
Calculate the lowest common multiple of 2 + -39 + 29 + 7/(14/248) and 44.
1276
Suppose -10*b + 60 = -11*b. What is the common denominator of 125/b + 4 + -6 and -51/64?
192
Let q be 3*6/9*-1. Let n be 4/(-3)*(-13 + q). Let g = n - 16. What is the smallest common multiple of g and 18?
36
Let f(r) = 4*r**2 + 11*r - 4. Let n be f(-5). Suppose -5*p = k - 73, -3 + 9 = 2*k. Let j = n - p. Calculate the least common multiple of 24 and j.
216
Let u(g) = 2 - 63*g + g**2 - 55*g + 117*g. What is the smallest common multiple of u(-2) and 18?
72
Let f = 182659/20 + -9139. What is the common denominator of 4424/79 - (-133024)/(-2304) and f?
360
Let o(p) = 72*p**2 + 31*p - 122. Let t be o(5). Let l = -31149/17 + t. Find the common denominator of l and ((-23)/(-4))/(2/4).
34
Let n = -175 - -168. What is the common d