) - -8.
48
Suppose -2*z - 242 = -2*j + 236, -713 = -3*j + z. What is the lowest common multiple of j and 129?
10191
Calculate the common denominator of 107/364 and (10116/(-3120) - (-5 - 2)) + -4.
1820
Let m = 68413 - 8756813/128. Let q = -1/428 + 19049/1284. Find the common denominator of m and q.
384
Let s = -1467/2 - -748. Find the common denominator of s and -24 + 19 - (284144/8160)/(-7).
510
Let v = -81 - -85. What is the least common multiple of 6/(-120)*v + 16/5 and 144?
144
Let b = 2/14621475 + 36750911/2661108450. What is the common denominator of b and -44/259?
6734
Let z(a) be the first derivative of a**4/4 + 4*a**3/3 - 5*a**2/2 - 4. Suppose -6*w + 5 = 29. What is the lowest common multiple of 10 and z(w)?
20
Suppose 8*l + 2*h + 28 = 10*l, -3*l + 58 = h. What is the lowest common multiple of l and 20?
180
Let t = 6890813/132 + -52204. What is the common denominator of t and -64/33?
132
Suppose -4*f + 61 = -39. Suppose 0 = -218*c - 365*c + 11660. Calculate the least common multiple of f and c.
100
Let n(i) = -329*i**2 + 23*i - 14. Let c(m) = -163*m**2 + 12*m - 7. Let v(s) = 5*c(s) - 3*n(s). Calculate the least common multiple of v(1) and 102.
510
Suppose -77*a - 64*a + 110367 + 169518 = 0. Calculate the least common multiple of 7 and a.
13895
What is the common denominator of (8/1060)/((-372)/(-4185)) and -65/28?
1484
Let a = -207543/50 - -4151. Calculate the common denominator of a and (4 - 553/(-14))*(-3)/(-60).
200
Suppose -53*d + 42*d = 396. What is the lowest common multiple of 22*(-48)/d*3/4 and 16?
176
Let i = -9653209/690 + 69951/5. Calculate the common denominator of -62/1495 and i.
8970
Let n be 3/(-2)*4*(-1244886)/(-3384288). Let r = 5/3917 - n. Calculate the common denominator of r and -9/28.
168
Suppose 0 = -4*s - 4*l + 52, -4*l - 3 = s - 13. What is the least common multiple of 3114 and s?
21798
Let d(w) = 6*w**2 + 18*w + 3. Let j be d(-5). Let y = j + -55. Suppose -z = -y*z + 77. What is the least common multiple of 54 and z?
594
Let x = -20977/9 + 2334. Find the common denominator of x and ((-17)/(-102))/(-1*4/(-182)).
36
Let p be (2/((-4)/(-6)))/1. Suppose 4*k - c - p*c - 60 = 0, 0 = 4*c + 16. Suppose 0 = -4*o - 16*o + 39*o - 437. What is the smallest common multiple of o and k?
253
Let a be 10 - -3*4/6. Let l be 92/12*(-2 - 2 - -7). Let f = l - a. Calculate the least common multiple of 1 and f.
11
Find the common denominator of -79/302 and ((-9)/(-7248)*-4)/(7/((-1484)/30)).
1510
Suppose 0*j = -j + 9. Let f(s) = s**3 - 26*s - 25 + 49*s + 15*s**2 + 10 - 20. Calculate the smallest common multiple of j and f(-13).
36
Suppose -8 - 8 = -n. Suppose -6*p - 2*p = -10*p + 168. Calculate the smallest common multiple of n and p.
336
Let s = 5427 - 5082. Calculate the lowest common multiple of 138 and s.
690
Let i = -937/1298 - -115/59. Let b be 105327/(-4653)*(1 + 4/(-3)). Let j = b - 191/88. Calculate the common denominator of j and i.
88
Find the common denominator of 28/8*(-25)/(-9)*(-352)/(-440) and 1/(-2) + (-455)/(-345).
414
Let i be (-40)/(-70) + 21008/(-36813). Let a = i - -373349/52590. Find the common denominator of a and -23.
10
Suppose 22 + 10 = 16*m. Find the common denominator of -89/15 and m - ((-46)/(-45) + 16/20).
45
Let l = 2736 + -14137/5. Let d = 907/10 + l. Let u = -2894 - -63643/22. What is the common denominator of u and d?
110
Let m = 22981/7524 + 1/836. Let q be (-423)/(-633)*((-2 - -1) + 4). Let o = -12949/16458 + q. Find the common denominator of o and m.
234
Let t(i) = 2*i**2 - 2*i - 32. Calculate the smallest common multiple of t(5) and (-6)/((-2)/(60/(-115)) - 4).
72
Let w = 299 - 229. What is the common denominator of 9/(-2) - (310/w - 4) and -91/18?
126
Let g = -44908 - -46663. Calculate the smallest common multiple of g and 90.
3510
Calculate the common denominator of -10 + 14070/2338 - 2*-2 and 4/33.
5511
Suppose -2*o - 3 = -9. Let s = 45384 + -45294. What is the lowest common multiple of s and o?
90
Let o be (-15)/5 + (-3 - 0) + 8. Let t be 199/o - (-5 - (-52)/8). Calculate the least common multiple of (4 + t/(-21))/((-4)/18) and 3.
3
Let p = -1261 - -596. What is the common denominator of (-19)/p*(-1130)/4 and 1/3*402/(-4)?
14
Let t be (1/3)/(1 - (-160)/(-168)). What is the lowest common multiple of 44 and (-1 - t)/(7 + (-2 - 6))?
88
Let r be ((-258)/40*-2)/((-18)/(-597)). Let b = 428 - r. Find the common denominator of 85/14 and b.
140
Let s = -753 + 6730/9. What is the common denominator of s and -16/127?
1143
Let u(t) = t**3 + 13*t**2 + 4*t + 57. Let o be u(-13). Suppose 75 = o*a - 0*a. Suppose 0 = -z - 3 + 7. What is the lowest common multiple of a and z?
60
What is the common denominator of -86/45 and (18 + 1036/(-50))/((-2)/(-10) + 1)?
45
Let g = -126 + 187. Let q be 97*(g/(-15) - -4). Let z = 137/90 + q. Find the common denominator of -52/27 and z.
54
Let g = -27/52 - -22147/41652. Calculate the common denominator of g and -76/45.
4005
Let c = 2290 + -2180. What is the least common multiple of 18 and c?
990
Suppose -2*p - j + 2283 = -999, 5*p - j = 8198. Calculate the smallest common multiple of 1640 and p.
1640
Let u(d) = -802*d + 8641. Calculate the smallest common multiple of 2484 and u(10).
2484
Let j = 12181/2240 + -3/320. Let t(c) = c**3 - 18*c**2 + 12*c + 22. Let w be t(17). Find the common denominator of j and 300/w - (-80)/(-140).
21
Let k = 276 + -262. Suppose -2*g + 180 = 2*v + 2*g, v = g + 87. Calculate the lowest common multiple of v and k.
616
Suppose 0 = -4*i - 3 - 1. Let k be (38 + 2 - -3) + i. Let g = -36 + k. What is the lowest common multiple of g and 9?
18
Let j = -2288/1439 + 3084511/2054892. Calculate the common denominator of j and -151/12.
1428
Suppose -i + 62*p = 58*p + 16, -2*i + 3*p - 2 = 0. Calculate the smallest common multiple of 177 and i.
1416
Suppose -f = l - 2*l - 127, 0 = -3*f - 2*l + 386. Let x = -1189/10 + f. Calculate the common denominator of x and (-2)/((-16)/(-63)) - -1.
40
Let q = -63266/9435 - -511/85. What is the common denominator of 161/180 and q?
6660
Let p = -285/58 - -1945/986. Suppose -4*g + 5*o - 44 = 0, 26 = -3*g + 16*o - 14*o. Calculate the common denominator of g and p.
17
Suppose 11 + 6 = 2*k - 3*j, 2*k + 3*j = 23. Let c = k + -24. Calculate the smallest common multiple of (c/6 + 0)/(2/(-6)) and 9.
63
Let g(a) = -a**3 - 7*a**2 + 4*a + 70. Let q = 2599/2 - 1328. Calculate the common denominator of g(-6) and q.
2
Let i(j) = -j**2 + 10*j + 6. What is the smallest common multiple of i(10) and (-35)/(-10)*(1 + 1)*7?
294
Let k = -5145/11 + 256029/550. What is the common denominator of k and -7/2425?
4850
Let v = -44 - -47. Suppose -3*q + 7 = -o - 0*q, -2*q + 12 = v*o. What is the common denominator of -27/5 and 0 + o + 1050/(-40)?
20
Let c = 142 - 1576/11. Find the common denominator of (152/40 - 5)/(3 + 716/(-260)) and c.
88
Let p = 1825 + -1822. What is the lowest common multiple of p and 1?
3
Suppose -15*c + 12*c + 2478 = 2*i, i - c = 1249. What is the smallest common multiple of 12 and i?
4980
Let j = -515/6 - -74627/870. Let f = j - -1949/1160. What is the common denominator of 97/474 and f?
1896
Suppose -18*b - 14*b + 103296 = 0. Let c = 83903/26 - b. Let l = 13 + -27. Find the common denominator of l and c.
26
Let z be (-23467914)/2100 - 2 - 1/7. Let q = z - -11176. Calculate the common denominator of q and 57/25.
50
Let o = -45/74 - -2473/4736. Find the common denominator of 113/1068 and o.
34176
Let v = 440 + -412. Find the common denominator of -3*2/v*(-561)/68 and 151/6.
168
Suppose -132 = -5*b + s - 37, -3*b = 4*s - 57. Suppose -c - b = -2*c. What is the lowest common multiple of c and 16?
304
Let v be (-6)/(1/52*-6). Suppose -5*x + d - 2*d + v = 0, 2*d = 5*x - 46. What is the smallest common multiple of x and 2?
10
Let x = -35251/4 + 6662335/756. Calculate the common denominator of x and -107/60.
3780
Suppose -64*d + 57965 = 301. What is the lowest common multiple of d and 265?
4505
Let o(y) = 3*y**2 - 30*y + 5. What is the smallest common multiple of 77 and o(12)?
77
Let k = -1279249255/24 + 53314859. Let q = 12813 - k. Calculate the common denominator of 59/8 and q.
24
Let s(z) = -3*z**2 - 2*z - 3. Let d be s(4). Let i = d - -129. Suppose 2*o = -10 + i. Calculate the smallest common multiple of 55 and o.
330
Calculat