c = -48 + 96. Let f = 21 + c. Suppose 3*j + 56 = 5*m, 5*m - 42 = 41*j - 45*j. Calculate the smallest common multiple of m and f.
690
Let w = -361 + 368. Suppose -3*r - 7*r = -630. What is the least common multiple of r and w?
63
Let j = -299482/3 - -163018032/1633. Find the common denominator of j and 48/5.
24495
Let i = 5771/960 + 17/192. What is the common denominator of i and (-22)/(-12)*((-5)/((-60)/78) - 8)?
20
Let a = -14365 - -14369. What is the smallest common multiple of a and 2704?
2704
Let a be (-6338794)/1371510 - (-2 - 8/(-5)). Let m = 1/2177 - a. What is the common denominator of m and -47/7?
63
Let k = 4/3981 + 171083/99525. What is the common denominator of 7 + 2 + (-4053)/(-168) + -32 and k?
200
Calculate the least common multiple of 256 and 870/60 - (-5)/(-10).
1792
Let x(u) = 95*u + 1818. What is the lowest common multiple of x(-19) and 33?
429
Let g = 16949793 + -26082524. Let w = g - -109501675/12. Let n = w + 7581. What is the common denominator of n and -59/33?
132
Let w be 1/13930*8/(-6). Let b = -2288383873271/307463593815 + -23084/14714697. Let a = w + b. Calculate the common denominator of a and 55/4.
36
Let q be 1/(-5) + (-2112476861613621)/122580. Let t = q - -17233454578. Let c = t + 2/2043. What is the common denominator of c and -131/12?
60
Suppose 2399 = 25*z - 2701. Suppose -z - 522 = -11*b. What is the least common multiple of b and 48?
528
Let p = -9/511 + -49369/11242. What is the common denominator of p and 43/294?
3234
Let i = 5847/11 + -163613/308. Find the common denominator of i and -107/224.
2464
Let c(m) = m**2 - m + 24. Let d be c(0). Suppose 23*y + 56 = 884. Let t = y - d. What is the smallest common multiple of 42 and t?
84
What is the common denominator of 4 - ((8 - 12) + 273/24 + 0) and 57/352?
352
Let z = 55993 - 27324619/488. Calculate the common denominator of z and -25/56.
3416
Calculate the common denominator of 5 + 22/(-6) - 7381/3828 and ((-88)/128)/(1/(-5)).
464
Suppose -10776 = -6*h + 3*a, -3*a + 12002 - 2978 = 5*h. Calculate the least common multiple of h and 200.
1800
Let i = 21812459 + -480191753/22. Let j = 14436 + i. Let y = -2410/123 + 35/82. What is the common denominator of j and y?
66
Let o = -5827487/104122739 + 2/149387. Find the common denominator of -11/6 and o.
4182
Let w = 603842/406385 - 2/11611. Calculate the common denominator of w and -57/434.
2170
Let x be (-10534284)/(-508)*6/(-19572). Let j = x + -2/29591. What is the common denominator of j and 83/20?
140
Let r(b) = 89*b - 1152. Suppose 0 = 3*h + 3*o - 495, 4*o - 6*o = -h + 165. What is the smallest common multiple of h and r(13)?
165
Let j = -22 - -6. Let d be j/(-148)*(291/5 - 1). Let t = -29/37 + d. Calculate the common denominator of t and -95/16.
80
Let d = 657 - -54. What is the least common multiple of 632 and d?
5688
Let l(k) = -3*k**2 + 173*k - 1157. Calculate the lowest common multiple of l(9) and 79.
12403
Let s = 1/63996 + -1631899/63996. Find the common denominator of s and -59/5215.
10430
Let k = 234/209 + -23263/7524. What is the common denominator of (-16)/(-672)*49*-5 and k?
36
Let l(w) = -5*w**2 - 117*w - 10. Calculate the smallest common multiple of l(-12) and 5.
3370
Let y = 1138/11 + -7951/77. Let o = 4786 + -473821/99. Find the common denominator of y and o.
693
Suppose -47*u + 5197 = -1759. What is the least common multiple of 98 and u?
7252
Let y(g) = g**2 + 28*g + 177. Let o(p) = -2*p**2 - 58*p - 355. Let x(n) = -3*o(n) - 5*y(n). What is the least common multiple of 75 and x(-5)?
525
Suppose 2*j = o - 106 - 84, j = 2*o - 395. What is the common denominator of (-35)/14 - (-296)/o and 113/150?
150
Suppose 0 = 2*p + 2, y + 3*p - 19 = 20. Find the common denominator of (-3)/(y/(-113)) - 42/(-441) and 71/30.
30
Let z = -2/2315 + 159739/4630. Find the common denominator of 107/84 and z.
84
Let t = -16281040667/7520 + 2165032. What is the common denominator of -3/16 and t?
7520
Let a(u) = 2*u**2 + 210*u - 420. What is the lowest common multiple of (0 - 32/2)*-2 and a(2)?
32
Let a be (-10)/6*(-4)/((-8)/534). What is the common denominator of -65/8 and ((-63)/(-4185))/((-2)/a) - 4?
744
Calculate the smallest common multiple of 28 and ((-84)/(-10))/(225/3000).
112
Suppose -5*i - 11 = -3*a + 4, 2*i + 0*i = 0. Calculate the lowest common multiple of (-35)/(-2)*(4 + -2) and a.
35
What is the common denominator of 2/(-48)*(-7396)/215 and -71/102?
510
Suppose -634 = -14*h + 150. Let y = h + 54. Calculate the lowest common multiple of 100 and y.
1100
Let t = -33 + 39. Suppose t*x = x - 270. Let b = x - -62. Calculate the smallest common multiple of 2 and b.
8
Let m(o) = 9*o**2 + 2*o + 1. Suppose -2*j = -5*j + 3. Let z be m(j). Let k = 90 - z. Calculate the lowest common multiple of k and 1.
78
Let k = 412 - 60572/147. Find the common denominator of k and 32/105.
735
Let z = 3127 - 3095. Calculate the smallest common multiple of 32 and z.
32
Let w = -133337 - -74002003/555. What is the common denominator of w and -53/592?
8880
Suppose -5*p + 6*p + 2 = 0. Let m be ((-10)/220)/(0 + p/(-72)). Let r = -83/44 - m. Calculate the common denominator of -1/2 and r.
4
Suppose -4*x - 44 = -8*x. Calculate the least common multiple of x and (-3120)/390 - (-4)/(-6)*(-15)/1.
22
Suppose -n + 11 = -p + 15, 0 = p - 4*n - 16. What is the least common multiple of (p + 297)*96/288 and 22?
198
Let g = -59441 - -59446. Let u = 45 - 26. Calculate the lowest common multiple of g and u.
95
Let s = 95349 + -95347. Let h = 64 - -182. Calculate the lowest common multiple of s and h.
246
Find the common denominator of 11/810 and 5 - ((-19418)/(-980) - 13).
5670
Let r = 233037/16 - 14570. Let w = -157375/12 - -13124. Calculate the common denominator of r and w.
48
Let y(h) = 23*h - 434. Let r be y(19). Suppose -g + s = -193, r*g - 2*s = -s + 573. What is the lowest common multiple of 10 and g?
190
Let q(w) = w**2 + w + 3. Let m be q(0). Let g be (110/(-15) - 2/m)*2. Calculate the smallest common multiple of 4*1*(-12)/g and 5.
15
Suppose 34*u - 3600 = 33*u - 44*u. What is the smallest common multiple of 2372 and u?
47440
Let b(t) = -6*t + 78. What is the lowest common multiple of 60 and b(-12)?
300
Let q(y) = 2*y. Let i(o) = 2*o + 6 + 42*o**2 - 11*o**2 + 0 - 24*o**2. What is the lowest common multiple of i(-4) and q(1)?
110
Let x = 1032 + -435. Find the common denominator of -20/39 and (x/99 + -6)/(-1).
429
Calculate the lowest common multiple of 2*(-6)/(-30) - (-24460)/100 and 525.
3675
Let u = -63/800 + -14153/7200. What is the common denominator of u and 103/540?
540
Let h = 6/67 + -1309/402. Let m = 2095 + -18781/9. What is the common denominator of m and h?
18
Let c = -7873/154 + 48/77. Let m be 12*-1*42/9. Find the common denominator of (-5)/40 + 365/m and c.
14
What is the common denominator of -73/10 and ((-12)/(-15) - 1) + (1122630/(-57600) - -20)?
1920
Let v = -3096263364 + 349875570456/113. Let x = v + 19378. What is the common denominator of x and -1/2?
226
Suppose j - 12 = 3*k, 3*j - 20 = 2*k - k. Let w(a) = a**2 - 9*a + 12. Let l be w(j). What is the lowest common multiple of (16/12)/(l/(-45)) and 14?
70
Let w = -490273 - -4397732/9. Let u = w + 1631. What is the common denominator of u and (-2)/(-14) + (-3704)/(-1512)?
27
Let p = 14 + -6. Let o = -3367/6 + 26729/48. Calculate the common denominator of o and (2/12)/(p/9).
16
Suppose 0 = -18*k - 5*k - 9844. Let s = 2094/5 + k. What is the common denominator of 19/30 and s?
30
Let y be (2 + 1*-4)*65/(-26). Let t(n) = -4*n + 26. Calculate the lowest common multiple of t(y) and 78.
78
Let l = 2/869 + 45977/34760. Find the common denominator of 2/145 and l.
1160
Suppose 12*k + 3 = 13*k. Let y(g) = 2*g**2 - 19*g - 3. Calculate the smallest common multiple of k and y(11).
30
Let a = -25728841/483345198 + 1/4258548. Find the common denominator of 47/108 and a.
24516
Let g = 12658 - 11899. What is the smallest common multiple of g and 69?
759
Let y be 6/45 - 258/(-90). Suppose -5*u = y*u. Suppose u = 4*z - 3 - 9. Calculate the smallest common multiple of 5 and z.
15
Let i be (-2 + 6/4)*9624/20. Let s = i - -8276/35. Calculate the common denominator of -15/7 and s.
7
Suppose 0 = 6*z - 4*z - 18. Let y be (-3)/z*-9 - 4. What is the common denominator of -85/14 and ((-385)/28)/(y/2