 Calculate the common denominator of 533/30 + y/(-20) and -53/5.
30
Calculate the common denominator of -14/81 and (-338)/16 - (-23)/(-184).
324
Suppose 2*v + 0*v = -3*l + 27, 3*l - 15 = 0. Let w be 19 + -8 - -1*3. Suppose 2 = -3*y + w. Calculate the lowest common multiple of v and y.
12
Let p = -11 + 25. Let x(f) = -f + 21. Suppose -q - 2*u + 4 = -1, -2*q + u = -25. What is the lowest common multiple of q and x(p)?
77
Let d = -2/105 - -689/35. What is the common denominator of d and 5300/(-120)*2/(-20)?
12
Let l be (-1 - (-3 + 2)) + 2. Suppose -l*u - 2*u + 56 = 0. Suppose -4*o - 5*m + 16 = 0, 10*o - 5*o = -4*m + 20. What is the lowest common multiple of o and u?
28
Calculate the common denominator of (-11008)/(-4257) - (3 + -1) and -28/121.
1089
Let n = 35/888 - 2653/4884. Calculate the common denominator of 65/66 and n.
264
Let q(p) be the third derivative of p**6/120 + 11*p**5/30 - 23*p**4/24 + 5*p**3/3 + 15*p**2. Calculate the least common multiple of 16 and q(-23).
80
Let l be 2/(-4) - (15/(-2))/3. Find the common denominator of 9/7 - (l + -6) and -31/12.
84
Let d = -93/14 - -369/35. Calculate the common denominator of 125/762 and d.
3810
Calculate the common denominator of 125/96 and -4 + ((-3610)/(-456) - 1*-1).
96
Suppose 142 = c + 7*w - 2*w, 3*c + w - 454 = 0. Calculate the smallest common multiple of c and 8.
152
Let y = 12481/4 + -3136. Suppose 5*j + 6 = -9. What is the common denominator of y and j + (-27)/(-168) + 6/(-21)?
8
Find the common denominator of (-12)/6 - ((-687)/147 + 3) and 19/56.
392
Find the common denominator of (2860/(-48))/(-5) + -1 and (-2695)/(-363) + (-4 - 2).
132
Let u = 10399342/241 + -17396430637/400060. Let d = u - -3/415. Let r = -12077/36 - d. Calculate the common denominator of 127/6 and r.
18
Suppose -5*n + 2*f = -104, 14*f + 6 = 11*f. What is the least common multiple of n and 7?
140
Calculate the lowest common multiple of 4/18 - -14*(-70)/(-45) and 110.
110
Let d be 4/18 - 10/45. Suppose d = 3*b - b + 3188. Let v = -17561/11 - b. Find the common denominator of -127/6 and v.
66
Let r = 5691/26 + -219. Let y = -3353 - -60301/18. Find the common denominator of r and y.
234
Find the common denominator of 36 and (21 - 3)*-1*6/2136.
178
Suppose 6027 = 3*i + 3*v, -i - v + 4017 = i. Let k = i - 20063/10. Calculate the common denominator of (-2220)/(-616) - 6/(-33) and k.
70
Calculate the least common multiple of (12/(-10))/(8/10)*-8 and 57.
228
Let v be (-8)/(-44) + (-112)/11. Suppose -r + 3*r = 2. Calculate the smallest common multiple of r and v/(-3)*(5 + -2).
10
Suppose -4*v + 40 = -8. What is the lowest common multiple of 7 and v/24 + (-21)/(-2)?
77
Suppose 55*y = 62*y - 42. Calculate the lowest common multiple of y and 44.
132
Let b be (-2)/4 - 207250/(-35). Let t be (2 - (-69)/2)*(160 + 2). Let v = b - t. Find the common denominator of 91/12 and v.
84
Let m be ((-36)/(-30))/((-4)/10*-1). Calculate the lowest common multiple of (-4)/(-1) + m + (-1 - -4) and 8.
40
Let f = 19243/3096 - -7/1032. Find the common denominator of f and 79/238.
2142
Suppose 2*o - 193 = 191. What is the least common multiple of o and 264?
2112
What is the common denominator of 4/70*(-287)/(-12) and -59/18?
90
Let b(j) = -j**2 - 17*j - 16. Let y be b(-16). Suppose y*z = -5*z - 40. Find the common denominator of (-2 - z)*(-209)/(-176) and -31/18.
72
Let q be (-3)/1883*2/(-3). Let z be 2632850/391664 + (-52)/(-338). Let k = z - q. Find the common denominator of k and -99/8.
8
What is the common denominator of 12/(-6) - -4 - (-172)/80 and -57/10?
20
Let s = 1/1373 - -78253/10984. Find the common denominator of (134/(-20))/(1 + 0) and s.
40
Suppose 0 = 2*k - 4*j + 6, 9 = 5*j - 6. Let t = 3 - 1. Calculate the smallest common multiple of t and k.
6
Calculate the least common multiple of 252 and 5 + 6/(-3) - (4 - 3).
252
Let u = 132497 - 55648793/420. Calculate the common denominator of u and 89/120.
840
Let x(b) = -4*b - 15*b**2 - 1 + 4 - 4 - 5. Let a be x(6). Find the common denominator of 143/12 and (14/(-72))/((-10)/a).
12
Calculate the common denominator of 254/(-4)*3/(-9) and 10 - 2 - (97/30 + 3).
30
Find the common denominator of (-24)/(-84) - (-563)/(-280) and -1/8.
40
Let t = 142498529/10 + -14237998. Let i = -11867 + t. Let n = -2473/42 + 271/7. Find the common denominator of i and n.
30
Suppose q + 2 = 3. Suppose -5*k + 13 = 3*h, -q = -5*k + 3*h + 6. What is the lowest common multiple of 1 and k?
2
Let a = -20509 - -11870. Let d be 2/(-5) - 950619/(-110). Let o = d + a. Calculate the common denominator of 39/2 and o.
22
Let j(h) = h**2 - 47*h - 201. Let k(r) = -r + 6. Calculate the least common multiple of k(-5) and j(-4).
33
Let f be (-395516)/48 - (1 - 2). Let x = f - -8245. What is the common denominator of x and 73/10?
60
Let n = 304/33 - 4313/264. Let x = -1/51987 + 364802/46424391. Let u = x + -74161/5358. Find the common denominator of u and n.
24
Let t = 1029 - 614. Suppose -2*j + 0*j = 4*a + 176, -a + 1 = 0. Calculate the common denominator of t/j + (-4)/18 and 49/20.
60
Let x = 1146 - 11349/10. Let f = -29179/1398 - -9/233. Find the common denominator of x and f.
30
Let b = -10 + 30. Suppose b*a - 15*a - 20 = 0. Calculate the lowest common multiple of -12*-2*(-2)/(-8) and a.
12
Let y be (6/21)/(2/14). Suppose -2*a = 3*r - 6 - 1, -y*a - 2 = 0. Calculate the least common multiple of 30 and r.
30
Suppose -16*x = -4*x - 168. Calculate the smallest common multiple of x and 72.
504
What is the common denominator of (-147)/201 - (828/48)/(-23) and 4/5?
1340
Suppose -17*r - 1616 = -6*r - 1638. Let l(f) = -f**3 + 4*f**2 - 2*f - 1. What is the least common multiple of l(2) and r?
6
Find the common denominator of 72/(-12) - -7 - (-34)/70 and 11/100.
700
Suppose -768 + 1098 = 6*k. Calculate the lowest common multiple of 205 and k.
2255
Suppose -3*d - l = -5, d + 4*l = 3*d - 22. Calculate the smallest common multiple of (-172)/(-28) - d/21 and 10.
30
Let x(j) = j**2 + 5*j - 2. Let c be x(-6). What is the common denominator of 148/37 - (0 + (-26)/24) and (86/60)/(c/12)?
60
Let v(l) = -l**2 + 28*l - 30. Let b(g) = g**2 - 29*g + 30. Let x(a) = 3*b(a) + 4*v(a). What is the lowest common multiple of x(22) and 36?
36
Suppose -12347 = 3*g - u + 2*u, 2*g = -2*u - 8230. Let f = -7257/70 + 538/5. What is the common denominator of f and (g/(-88))/(-7) + 4?
154
Suppose 5*b + 36*b = 1640. What is the smallest common multiple of 25 and b?
200
Let n(q) = q**3 - 19*q**2 + 2*q + 28. Let u be n(19). What is the least common multiple of 4 and u/12 + (-2)/4?
20
Let h = -794 + 992. What is the least common multiple of h and 18?
198
Let b = 661885/396 - 18342/11. Find the common denominator of b and 2/1 - 1/((-78)/1027).
36
Let c = 40228 - 1448119/36. Find the common denominator of 115/132 + 4/(-6) and c.
396
Let r = 36 + -20. What is the least common multiple of r and 36?
144
Let k = -2265 - -2271. What is the smallest common multiple of 222 and k?
222
Let i be 4 - 6 - (-2 + 1)*0. What is the least common multiple of 2 - (1/i + 14/(-4)) and 44/2 + (-1 - -1)?
66
Let v = -4573/3 - -1543. What is the common denominator of -103/24 and v?
24
Let w = 0 + -1. Let l(f) = -f + 1. Let s be l(4). What is the least common multiple of 10 and w/((6 + s)/(-3))?
10
Let l = -289 + 397. Calculate the lowest common multiple of l and 7.
756
Let d = -2 + -1. Find the common denominator of ((-25)/d)/((-6)/9) and -29/5.
10
Let s = 13 + -8. Suppose -c + s*c = 28. Calculate the smallest common multiple of (-64)/(-8)*(171/270 + 4/(-30)) and c.
28
Let u(j) = 2*j**3 - 6*j**2 + 6*j. Let m be u(5). Calculate the common denominator of 2/8*m/12 and ((-194)/66 - -3)/(32/72).
264
Suppose -3*p = 2*q - 23, 3*p + 3 = 2*q + 10. Suppose 3*o - 120 = -4*f - f, 96 = 4*f - 2*o. Calculate the lowest common multiple of f and q.
24
What is the common denominator of 53/8 and (-467)/927 + 96/432?
824
Suppose 7 - 3 = a. Suppose 5*g - 2*k = 118, g - 4*g + a*k = -68. Suppose 0 = -4*v - 3*p + 53, 2*v - 5 = -p + g. What is the smallest common multiple of v and 8?
136
Suppose 2*z + 4*o + 8 = 0, 5*z - 4*o - 50 = -0*o. Suppose 2*j - 10 = q, 0 = 3*j - 2*q - 5 - 9. Calculate the smallest common multiple of z and j.
6
Let b(t) = -t**3 - 8*t**2 + 7*t - 13. Let n be 3 + (-188)/60 - (-133)/(-15). Calculate