86
Let v(l) = 265*l + 1345. What is the lowest common multiple of (-5*(-6)/20)/((-1)/(-12)) and v(-5)?
180
Suppose 2*t = -2*a - 1618, 6*t = 3*a + 3*t + 2433. Calculate the common denominator of (324/a)/((-56)/1010) and 249/4*2/(-30).
140
Suppose -1702 + 17671 + 1311 = 192*k. Calculate the lowest common multiple of k and (-1263)/(-9) - 1/3.
1260
Let b = 4 + -1. Suppose -29*l + 6326 = 329*l - 1550. What is the lowest common multiple of b and l?
66
Let u = 129 - 186. Calculate the lowest common multiple of (-266)/u*(-1 - 61/(-7)) and 22.
396
What is the common denominator of (-1)/(-2)*(-5)/(720/(-1812)) and 11/774?
3096
Let r(x) = -10 + x**2 - 12 + 7 - 1 + 4*x. Let z be r(-8). Suppose -2*l - 66 = -3*a + l, -z = 4*l. Calculate the lowest common multiple of a and 24.
72
Let o = 86538 - 18384. Let g = o - 6678979/98. What is the common denominator of ((-19)/((-1026)/4))/(3 + 2350/(-786)) and g?
882
Find the common denominator of -25/759 and (-3014)/(-165) - (13 + 7).
3795
Suppose 13 = 35*j - 57. Suppose -34 = -j*s - 12. What is the smallest common multiple of s and 5?
55
Let b = -295730/31879 + 652/71. What is the common denominator of b and 113/30?
13470
Let y(m) = -m**2 + 11*m. Let i be y(7). Suppose 0 = i*t - 32*t + 48. Calculate the smallest common multiple of 12 and t.
12
Let f be 8/(-3)*585/(-12). What is the common denominator of 73/516 and (f/(-72))/(11/22)?
1548
Let v be -2*(12/(-30) + 78/20). Calculate the least common multiple of 9 and 100/(-350) + (-695)/v.
99
Let l = 9284 - 9052. What is the lowest common multiple of l and 20?
1160
Let w = 499065/272 + -14677/8. Calculate the common denominator of -44/323 and w.
5168
Suppose -18*y + 6 = -337 + 1. What is the smallest common multiple of 275 and y?
5225
Suppose 6*o + 10 = o. Let y be o/(-4) + (-910)/(-4). What is the common denominator of -69/4 and y/(-10) + (-6)/30?
4
Let j = -94178707/426 - -221077. Find the common denominator of -7/355 and j.
2130
Let l be -17917*(-12)/(-25) - 5. Let s = -8603 - l. What is the common denominator of s and -17/35?
175
Let r be 0/(3/(-1)) + 10. Suppose 3*c + r = 5*c. Let k(u) = -2*u**3 + 66*u**2 - 65*u + 36. Calculate the lowest common multiple of k(32) and c.
20
Suppose 36*s - 33*s = g - 222, -2*g = -s - 474. What is the lowest common multiple of g and 420?
1680
Let f(x) = -15*x - 211. Let j = -17 + 2. Calculate the lowest common multiple of f(j) and 6.
42
Let j(v) = -364*v + 2216. What is the lowest common multiple of 495 and j(5)?
1980
Let o = 319 - 310. Let z = 9 + 12. Calculate the least common multiple of z and ((-27)/15)/(o/(-15)).
21
Let c = -28 + 64. Let j = 5183 + -5147. Calculate the smallest common multiple of c and j.
36
Let n = -830471/1084864 + -2/16951. Calculate the common denominator of n and (-1*4)/(7 - 505/85).
576
Let w be 3/(360/(-1033582)) - 10/45. Let d = w + 43083/5. Find the common denominator of -61/6 and d.
36
Let k(x) = -3*x**2 + 18*x - 6. Let g be k(6). What is the common denominator of -17/20 and g/21 + (-6797)/(-11956)?
1220
Suppose -a - 3*n = -7*n - 20, 4*a + 15 = -3*n. Let r(m) = 3*m + 44. What is the lowest common multiple of 20 and r(a)?
220
What is the common denominator of 95/2082 and (1 - 10) + (-130)/(-195)?
2082
Let n = 2386638725/1617 + -1475967. Find the common denominator of n and -89/2541.
17787
What is the least common multiple of (-61608)/(-1768) + (-2)/(-13) and 600?
4200
What is the common denominator of 2865*31/3720 - (-2 - -18 - 2) and 1/70*(-1 + 132)?
280
Find the common denominator of (21/(-9) - 0) + 99126/45144 and 103/12.
2508
Let g(s) = 30*s + 13. Let h be g(-2). Let x = 48 + h. Find the common denominator of 4/(-66)*(x + 125/(-2)) and -12/11.
11
Suppose 5*k + 3*a - 9 = -24, -4*k + 25 = -5*a. Let x(h) = 11*h + 420. Calculate the smallest common multiple of x(k) and 4.
420
Suppose 32*s + 1409 = 6689. Calculate the least common multiple of 1254 and s.
6270
Calculate the common denominator of 28/25 and 10 + 0 - 1852541/184670.
15650
Let u be 321 - (-8 + (-72)/(-9)). Suppose u*x - 316*x - 100 = 0. What is the least common multiple of 10 and x?
20
Calculate the common denominator of 41/894 and (6/(-4))/((-14)/70*(-3576)/38).
3576
Let f(z) = -z**3 - 3*z**2 - 4*z - 4. Suppose 4*r + h = 123, 65*r - 4*h = 69*r - 144. Calculate the lowest common multiple of f(-3) and r.
232
Suppose -z = -4*s - 96, -5*s = -2*z - 2*s + 187. Let y = -49 + z. Suppose -y = -4*o - 19. Calculate the smallest common multiple of o and 6.
6
Suppose 9*a - 2166 = -105*a. What is the least common multiple of a and 874?
874
Suppose 338*a - 3064 = 334*a. Let m = 777 - a. Calculate the lowest common multiple of 40 and m.
440
Suppose 111 = 8*t + 79. Suppose 0 = t*l - 3 - 13. Suppose 0 = l*z + 56 - 64. Calculate the least common multiple of 2 and z.
2
Let p be (-2 + (-269)/(-3))/((-103)/(-1236)). Let o = -1042 + p. Calculate the lowest common multiple of o and 18.
90
Let p = 24 + 6. Suppose -24 = -0*x - x - q, -x + q + p = 0. What is the least common multiple of ((-24)/54 - 315/(-162))*4 and x?
54
What is the smallest common multiple of 2470 and (3/(54/117))/(1*(-1)/(-266))?
17290
Let c = 1108121/120 + -9235. Calculate the common denominator of c and -97/120.
120
Let s = -1/2833 + -150145/11332. What is the common denominator of s and (-116)/(-120)*(799/34 + -21)?
12
Suppose -64262 = -4*d + 2*k, 3*k + 0*k = 3*d - 48195. Let c = 224807/14 - d. Let s = -8763/8 - -1105. What is the common denominator of s and c?
56
Let k(f) = -5*f**3 - 3*f**2 + 3*f. Let r be k(1). Suppose -5*q + 23 = -2. Calculate the common denominator of 97/42 and q/r - (-13)/(-18).
126
Let t(k) = k + 1. Let n(m) = 46*m + 58. Let w(b) = n(b) - 5*t(b). Let p be w(11). What is the common denominator of -19/24 and (-912)/p + (2 - 0)?
168
Find the common denominator of 5/(10950/(-833)) - 5/(-25) and 41/8.
1752
Let x(i) = -1572*i + 9672. What is the least common multiple of x(6) and 560?
1680
Suppose -200*x - 147070 = -211*x. Let m = -187091/14 + x. Find the common denominator of 49/10 and m.
70
Let x be 5/(-10)*(-705)/(-147). Let c = x + -1417/441. What is the common denominator of c and 87/22?
198
Let g(d) = 9328*d. Let r be g(-5). Let b be (-460586)/r - (-4)/16. Let w = -1/2915 + b. Find the common denominator of w and -1/8.
8
Let b(j) = -j**3 - 16*j**2 - 22*j - 5. Let g = -849 + 834. Calculate the smallest common multiple of b(g) and 10.
100
Let t = -124190 + 41727935/336. What is the common denominator of t and -113/36?
1008
Let j = 546 - 426. Calculate the common denominator of -127/260 and 10/25 + (-498)/j.
260
Suppose -2*z - 3*y - 597 = 0, 893 = -3*z - 4*y - y. Let j = -296 - z. What is the smallest common multiple of j and 20?
20
Let t be 304*206/(-32578) + 0. Let o = -1/1253 + t. Find the common denominator of o and 63/8.
104
Let v be ((-1 - 58) + -2)/(-5 + 4). Suppose 2*o - 13 = -b - 0, -4*o + 5*b = -v. Calculate the lowest common multiple of o and 7.
63
Suppose -15*o = -22619 + 22169. What is the lowest common multiple of o and 10?
30
Let m(f) = 164*f - 1816. Calculate the lowest common multiple of m(18) and 1420.
5680
Let t(k) be the second derivative of -k**4/6 + 7*k**3/6 + k**2 - 111*k. Let f(c) = -c**2 + 8*c - 3. What is the smallest common multiple of t(2) and f(6)?
72
Let w(o) = o**3 + 13*o**2 - 9*o + 11. Suppose d + 3*d = -60. Let v be w(d). What is the common denominator of (3*-1)/((-72)/v) and -27/23?
69
Let h be -2 - ((-80)/5)/4. Let a(d) = 2*d**3 - d**2 - 2*d + 2. Let n be a(h). Calculate the common denominator of ((-52)/6)/(4 - 0 - n) and 50/13.
117
Let b = -32613 + 32925. Calculate the smallest common multiple of 72 and b.
936
Let n be ((5 - 3)/2)/((-2)/(-8)). Let r be -16*2/n*-37. Suppose 208 + r = 12*i. Calculate the smallest common multiple of 15 and i.
210
Let y = 1499/4 + -392. Calculate the common denominator of y and 16 + ((-41)/27)/(206/2472).
36
Let d = -3841 - -84457/22. What is the common denominator of 87/92 and d?
1012
Let d = 373 + -230. Calculate the smallest common multiple of d and 11*1/(13/77) - (-1816)/(-11804).
715
Let z(j) = -j**2 - 14*j - 7. Suppose -14*u + 10*u - 8 = 0. Let y(g) = -6*g + 4. What is the smallest common multiple of y(u) and z(-13)?
48
Suppose -3*b - u = -5*u - 3020, u = -b + 1016. Let z = -512 + b. Calculate the leas