culate the lowest common multiple of z and 8.
56
Let r be ((-878440)/32)/((-52)/8 - -2). Let k = 6105 - r. Calculate the common denominator of ((-182)/(-55))/(4/(-5)) and k.
198
Let n(i) = i**2 + 8*i - 8. Suppose 10*x + 25 = 5. What is the smallest common multiple of 8*x*76/(-32) and n(-10)?
228
Let f(k) = -6*k + 184. Let y be f(-8). Suppose 4*r = 5*i - 10 + 166, -5*r - 3*i + y = 0. Calculate the smallest common multiple of r and 66.
132
Let u = 48 - 44. Suppose 3*q - 9*w = -4*w + 29, -5*w - 47 = -u*q. What is the smallest common multiple of q and 80?
720
Let s(n) = -n**2 - 4*n. Let i = 78 - 72. Let x be s(i). Calculate the common denominator of 2/9 and 314/x + (124/(-20) - -6).
90
Let n = -15925 - -15930. What is the least common multiple of ((-76)/12*-3)/1 and n?
95
Suppose -3 = j - 15. Suppose -3*q = 28 - 46. Suppose -11*v - q = -j*v. Calculate the lowest common multiple of v and 22.
66
Let w(g) = -g**2 - 14*g - 7. Let t be w(-9). Let f = t - 18. What is the smallest common multiple of f and 85?
340
Let g = 57 + -23. Let a(i) = -50*i**2 - 15 - 22 - 4*i + 67*i**2 - i**3 - 9*i. What is the least common multiple of g and a(16)?
374
Suppose -10*g - 40 = -5*n - 5*g, -8 = 3*n + 5*g. Suppose 2*w - n*w - 54 = -3*q, 4*w = 3*q - 60. Calculate the lowest common multiple of 20 and q.
80
Let c = 344 + -348. Let v(i) = -i**3 - 4*i**2 - 5*i - 10. Calculate the least common multiple of v(c) and 90.
90
What is the common denominator of -95/56 and 45424/2464 + -3 + -16?
616
Suppose m - 5*y = -13, -14*m + 152 = -19*m - 4*y. Calculate the smallest common multiple of 37 and (-70)/m*(-1)/(-2)*8.
370
Calculate the least common multiple of -6*(20 - 9)/(-11) + (2 - -112) and 66.
1320
Let m be 1/(-5) + (-136035)/200. Let a = m + 1383/2. Let f = -6753/56 + 817/7. What is the common denominator of f and a?
8
Suppose -24*j + 395 = 23*j - 310. What is the least common multiple of 820 and j?
2460
Calculate the common denominator of 41/9 and 2963/1476*1 - (-55 - (-19 - 38)).
1476
Let x be -9 + 21/(4 + -11). Calculate the least common multiple of x/30 - 84/(-10) and 44.
88
Let x = -19 + 17. What is the smallest common multiple of (10/5 + -3)/((-5)/40) and 174/11 - x/11?
16
Let h be ((-121988)/18 + -1)*15/(-8). Let o = -12707 + h. What is the common denominator of o and 85/42?
168
Suppose -6 = 2*u - 0*u - 4*q, u + 15 = -4*q. What is the lowest common multiple of 10*7 + 7 + u and 20?
140
Suppose 0 = -12*m + 35 + 1. Calculate the common denominator of 2 + -2 + (-2)/18 and (m/(-180))/(7/658).
90
Let q = 42 + -24. Suppose -6*a + 5*a + 30 = 0. Suppose 4*y - w - 26 = w, -5*y + 2*w + a = 0. Calculate the smallest common multiple of q and y.
36
Let n = -1449711/347647645 + -141/91330. What is the common denominator of n and 127/18?
137034
Let f(k) = 34 + 2*k**2 + 34 - 70 - 20*k. Let j(n) = -n**2 - n. Let y(z) = -f(z) - j(z). What is the smallest common multiple of y(20) and 8?
88
Suppose 662 = -6*l + 116. What is the smallest common multiple of 120 and 5 - 4 - 4 - l?
1320
Let h = -744 - -504. Let y = h - -264. Calculate the lowest common multiple of 28 and y.
168
Let b = -219269 - -219275. Suppose 43 = u + t, 0*t = -2*u + 5*t + 79. Calculate the least common multiple of b and u.
42
Suppose -10*n + 6*n = 2*l + 8, -3*n = -3. Calculate the common denominator of 74/21 and l + 72/63 - -3.
21
Let f(r) = -r**3 + 6*r**2 + 8*r + 1. Let m be f(7). Let d = 16 - m. What is the least common multiple of d and 14*(6/(-42)*-7 - 0)?
56
Let z(u) = 5*u**3 - 42*u**2 + 17*u. Let w be z(8). What is the common denominator of 73/6 and (-724)/w*(-3)/(-405 - 0)?
270
Suppose g - 4*d + 16 = 0, -4*g - 2*d = 224 - 268. Calculate the smallest common multiple of g and 2430.
9720
Let t(g) = 3*g + 6. Let p be 2/2*0/1. Suppose -48*h - 6 = -54*h. Calculate the lowest common multiple of t(p) and h.
6
Let k(p) = -2*p + 9. Let y = 171 - 301. Let g = y + 138. What is the lowest common multiple of g and k(4)?
8
Let u(i) = -5*i + 299*i**2 + 2*i - 149*i**2 + 9 - 148*i**2. What is the lowest common multiple of u(5) and 77?
308
Let t = 129 + -123. Let f be (-9 - -3)*2/t. What is the common denominator of 1/(-3)*((-67)/4 + f) and -47/48?
48
Suppose -4*c = 5*w - 85, 4*c + 117 = 5*w + 32. Let p = 18 - w. Calculate the least common multiple of 60/(4 + p) + 0 and 12.
12
Let j = 515153/84 + -6133. Calculate the common denominator of j and -43/40.
840
Let c(z) = -z**2 - z + 18. Suppose -b + 616 = 2*n, 4*n - 1208 = 12*b - 17*b. Calculate the smallest common multiple of n and c(0).
936
Let x(v) = -v**3 + 4*v**2 - 4*v + 1. Let w be x(3). Calculate the common denominator of (-150775)/(-1110)*((2624/600 - (-3)/(-9)) + -4) and (w/(-24))/(2/(-73)).
120
What is the smallest common multiple of 553 and (-7)/(-3)*(-1896)/(-28)?
1106
Let j be 6 - 2*(9 - 7). Suppose 28 = j*k - 86. Calculate the lowest common multiple of k and 6.
114
Let l(x) = 33*x - 4 - 17*x - x - 2*x. Let z be l(2). Suppose 14 = 4*d - z. Calculate the lowest common multiple of 7 and d.
63
Suppose -g + 3*c = 5, -3*g + 7 = -0*g + 2*c. Let a(k) = -2*k. What is the smallest common multiple of a(-8) and (-8)/(g*4/(-8))?
16
Let x be ((-111)/1836)/(3/((-45)/(-10))). Let j = x + -55/34. Calculate the common denominator of 47/105 and j.
840
Let m = 818715572579143008472/9163 - 89350165994585398. Let f = 171423880 - m. Let d = f + -1/833. What is the common denominator of d and -74/81?
891
What is the common denominator of 1434/(-1287) + 24/(3168/(-12)) and -68/387?
5031
Let u = 1243021/18 + -69057. Let y = 14794573/260 + -56902. Calculate the common denominator of u and y.
2340
Suppose 5*u + 4*j + 2955 = -j, -u - 575 = -3*j. Let l = 2530 - 35461/14. Calculate the common denominator of l and (-7)/35 + (u/(-110) - 4).
154
Find the common denominator of 19864/6110 - (3 - 0) and -59/140.
6580
Let w be (-18051)/11*(-2)/6. Let v = w - 511. Calculate the least common multiple of v and 66.
396
Let m be (-1)/(-4) + (-2952)/(-96). Suppose 4*c - m = 53. Let t(o) = -o**3 - 2*o**2 + 2*o. What is the lowest common multiple of c and t(-3)?
21
Let v = 148665 + -78941185/531. What is the common denominator of v and -47/24?
4248
Calculate the common denominator of (-31)/((-403)/2) + ((-1569)/195)/(-1) and 65/2624.
13120
Let d(p) = 118*p - 196. Calculate the smallest common multiple of (4 - 12)*-2*1 and d(2).
80
What is the common denominator of 13*(2/(-588))/(870/(-87)) and 17/1680?
11760
Let v be 2 - (-10*23 - (-8 - -4)). Suppose 4*j + 4*x = -164 - v, 2*j + 224 = 5*x. What is the common denominator of (-3 - j/15)/(72/(-15)) and -91/2?
24
Suppose 3*j = -j - 128. Find the common denominator of (-8 - 252/(-81))*117/(-24) and 4/2*(-194)/j.
24
Suppose 3*l = -142 + 235. Calculate the least common multiple of l and 4.
124
Let o = -38 - -830. Calculate the lowest common multiple of o and 144.
1584
Calculate the common denominator of 21/4 and (13*(-4)/40)/((-126)/(-385)).
36
Let h = 1/1925 + 88541/17325. Let z(d) = -d**3 + 31*d**2 + d + 1. Let p be z(31). Calculate the common denominator of (268/p)/(3*-2) and h.
144
Suppose 4*n = -3*g - 166, -4*g - n - 230 = -0*n. Calculate the common denominator of ((-2 - 4)/18)/(2/g) and -41/11.
33
Let s = -1/5944 - 37521/2972. What is the common denominator of -44/4527 and s?
36216
Let o = 11194 - 324664/29. Let z = o - -2827/232. Find the common denominator of z and (-1200)/(-126) - (-16 + 26).
168
Let q = 25488 - 25316. Suppose 2*g + 0*g = 4. What is the lowest common multiple of q and g?
172
Let j = 40641 - 17922665/441. Calculate the common denominator of 34/15 and j.
2205
Let d = 1340673/335 + -4002. What is the common denominator of 7/50 and d?
3350
Suppose 3*a = 5*q + 489, -916 = -4*a + q - 298. Calculate the lowest common multiple of a and 18.
306
Let z = -20831833/1260 + 148808/9. Let j = 6402 + -985883/154. Find the common denominator of j and z.
1540
Suppose 55 + 50 = 8*c - 135. What is the least common multiple of c and 565?
3390
Calculate the lowest common multiple of 361 + (-2 - 1/(-1)) - (-349 + 345) and 72.
6552
Let a(o) = -197*o**3 + o**2 - 4*o - 4. Let g be a(-1). Let c = -143 + g. What is the least common multiple of c and 10?
110
Suppose 2*t = -4*k - 8, -2*k = 4*t - 0*k - 8. Let h be (-33)/(15/9 + -2). Let z = -69 + h. Calculate the smallest common m