294
Suppose -30 + 168 = 46*v. Let w = 47 - 27. Suppose 4*c = 15 - 3, -4*r - 4*c = -w. Calculate the lowest common multiple of r and v.
6
Let g = 25/25802 + 1907/51604. Calculate the common denominator of g and -13/12.
8148
Let k(o) = -o**3 - 7*o**2 - 7*o - 5. Let s be k(-6). Suppose 43*j - 367*j + 1086 = 38*j. What is the smallest common multiple of (4/(-10))/(s/(-10)) and j?
12
Suppose -12*n = -240 + 192. Suppose -n*u - 2 = -46. Calculate the smallest common multiple of u and 66.
66
Let o be (-3995)/16*(33 + -14). Let u = 4750 + o. What is the common denominator of ((-6)/(-15))/(5/(7425/(-168))) and u?
112
Suppose 29*z = 7*z - 198. Suppose v + 5*b = 8, 4*v - 25 = 2*b + 7. Calculate the least common multiple of (-472)/(-72) + (-4)/z and v.
56
What is the common denominator of (-604)/6*(-4 - -1438*(-3)/(-1080)) and -17/90?
270
Suppose -i = -2*d + 10, 5*i = 6*i - 2. What is the least common multiple of d and 4832?
14496
Suppose d - 13 = -3*z + 22, z = 5. What is the least common multiple of d and 22?
220
Let h = 2042/3003 - -46/273. Find the common denominator of -127/60 and h.
660
Let o be (0 - -2)*250/20. Let v = -7 - o. Calculate the common denominator of 110/(-6)*v/80 and -15/4.
12
Let u be (-4 - 0) + ((-110918)/(-12) - -8). Let q = 9222 - u. Let t = 5467/156 - 552/13. Find the common denominator of q and t.
12
Calculate the least common multiple of 10 and ((-4980)/(-664))/(1/40).
300
Suppose -80 = -n + 6*a, 2*n - 128 = 14*a - 10*a. Calculate the smallest common multiple of 176 and n.
1232
Let u = 443/4431 + -1/211. Let w = u + 13/35. What is the common denominator of 596/144 + 3/4 and w?
45
Let y = 1112 - 722. Let t = 579 - y. Calculate the least common multiple of 18 and t.
378
Find the common denominator of 106/(-15)*(-726)/(-184888) and 9/1528.
7640
Let m(y) = 11*y - 67. Let h be m(7). Calculate the common denominator of -77/4 and (34/h - 3) + 622/220.
44
Suppose d - 3*d + 6 = 0. Suppose -u - 132 = -d*u. What is the smallest common multiple of (228/(-494))/(2/(-52)) and u?
132
Let c be 2/(-8) - 1275/4. Let h(q) = 167*q + 670. Let i be h(-4). Calculate the common denominator of c/154 - (i + -3) and 47/6.
42
What is the least common multiple of 80 and 368/(-88) - -4 - (-22716)/66?
3440
Let n(z) = 155*z - 841. Calculate the least common multiple of n(7) and 122.
244
Let a(r) = -68*r - 59. Let f = 71 - 51. What is the least common multiple of a(-1) and f?
180
Calculate the least common multiple of 138/(-5*(-9)/540) and 192.
13248
Let p = 29890/1007 - 555/19. Let j = -2914/133 + 267/19. Find the common denominator of p and j.
371
What is the common denominator of (-3)/(-1008)*-2468 - -6 and 103/12?
84
Let h(k) = -k**3 + 11*k**2 + 3. Let f be h(11). What is the common denominator of f/2 + (-143)/198*2 and -83/10?
90
Let o(d) = -14*d**2 + 570*d - 334. Suppose 125 = 2*y + 17. Calculate the smallest common multiple of o(40) and y.
594
Let w = 17055 + -16935. Suppose 3*d - k - 14 - 25 = 0, 0 = 2*d - 5*k - 39. What is the lowest common multiple of d and w?
120
Let j = 1501 + -1429. What is the smallest common multiple of 16 and j?
144
Suppose -2*w = -q - 11, 5*w - 10*w + 3*q + 27 = 0. Let o = 8 - -1. Suppose -m + o = 1. Calculate the lowest common multiple of m and w.
24
Let o = -54111 - -26947213/498. Find the common denominator of o and 87/166.
498
Let t(u) = 5*u**2 + 29*u + 16. Let n(v) = v**2 - 29*v - 107. Let d be n(32). What is the least common multiple of 2 and t(d)?
302
Suppose 12*d = 1142 - 914. What is the smallest common multiple of 10 and d?
190
Let n be (-2)/(-8) - (-708)/48. Suppose n*m - 157 = 14*m. Suppose -2*y - 206 = -6*y + 5*j, 3*y = 5*j + m. Calculate the lowest common multiple of y and 11.
539
Suppose -3*a = 3*z + 36, 0 = 5*a - 0*a - 3*z + 92. Find the common denominator of 8 + 354/(-20) + 3 and (-4 - -1) + (-37)/a.
80
Suppose -c + 4*w - 7 = -39, 5*c - 65 = w. Let j = -26011/9 - -2894. What is the common denominator of (688/80)/(c/(-5) + 2) and j?
18
Let t be (32/3)/(-3 + 3226/1073). Let v = t - 1634. Calculate the common denominator of -41/2 and v.
42
Find the common denominator of 67/34 and (-11768)/54752 - (-22)/649.
1972
Let c = 5095 - 5080. Calculate the least common multiple of 2532 and c.
12660
Find the common denominator of (-19 - -3) + 6100/549 and -49/117.
117
Suppose 3*o + 162 = 231. Suppose -m - 1980 = -o*m. What is the smallest common multiple of m and 30?
90
Suppose -4*c + w + 12 = 0, 3*w = 2*c + 4*w. Suppose -2*h + 3*x + 4 = 5*x, c*h - 5 = -x. Find the common denominator of -15/2 and ((-16)/(-6) - h) + 269/60.
20
Let o(l) = l**3 + 8*l**2 + 11*l + 24. Let t be o(-7). Find the common denominator of 13/(-3)*(t - 2 - 3) and -33/8.
8
Let m = 169412135/134 - 5926034011541/4687320. Let t = -368/583 - m. Calculate the common denominator of t and 83/165.
1320
Suppose 2*g - 11861 = 2*o - 2939, -2*o = 4*g - 17808. Calculate the smallest common multiple of g and 3645.
40095
Suppose -724*i - 1064 = -800*i. Calculate the lowest common multiple of 3896 and i.
27272
Find the common denominator of -31/306 and 24/(-30) + 19513*2/46920.
14076
Suppose 5*h + 2*c - 307 = -40, 90 = 2*h + 5*c. Suppose y - h = -4*y. Calculate the least common multiple of y and 26/(-169) + 28/13.
22
Let o be 3/6*4*-2. Let r = 218 - 197. Calculate the smallest common multiple of 6 + -1 + 2 + o and r.
21
Let o(b) = b**2 + 2*b - 4. Let x(k) = 34*k**2 - 392*k + 390. What is the least common multiple of o(-5) and x(1)?
352
Calculate the common denominator of (67 + -64)*(-3)/16*39/(-455) and 137/420.
1680
Let d = -5 + -7. Let p be (-62)/d + (-11)/66. Suppose -2*b + q + 22 = 0, 4*q - 10 - 19 = -p*b. Calculate the smallest common multiple of 16 and b.
144
What is the lowest common multiple of -1 - 1808/(-10) - 4/(-20) and 216?
1080
Let l be -1 + (-151893)/66 - -3. Let k be (-7080)/(-10)*26/8. Let i = k + l. Find the common denominator of i and -1/20.
220
Let p(y) = -24*y + 25*y - 39 + y**2 + 0*y**2. Let r(q) = -7*q - 1. Let s be r(-1). What is the lowest common multiple of 21 and p(s)?
21
Let y be 1/(-15)*(-68503110)/(-140). Let v = -32620 - y. Calculate the common denominator of -25/49 and v.
490
Let q be 3/(0 - 1 - 0). Calculate the common denominator of -4 - (-2)/5*(-2275)/112 and (-69)/(-288) + (-2)/q.
32
Suppose -66*q = -61*q - 3270. What is the least common multiple of q and 108?
11772
Let s = 57367/8 + -7159. Find the common denominator of s and (-1034)/160 - (-2)/5.
16
Let m(x) = -2*x - 10. Let q be m(-5). Calculate the common denominator of (q - (-6)/56)/(21/(-826)) and (1 - 2) + (-245)/100.
140
Let p = 554528 + -2787562/5. Let i = p - -2974. Calculate the common denominator of i and 3/4.
20
Let h(l) = -l**3 + 27*l**2 - 23*l - 64. Let b be h(26). Let m(r) = 4*r - 48. Let p be m(b). What is the common denominator of 29/11 and 922/(-132) - p/44?
66
Let y be 30/35*3/(12/14). Suppose 12*g - 108 = y*g. Suppose -4*a + 76 = 4*n, 2*a + 22 = 5*n - 4*n. What is the smallest common multiple of g and n?
60
Suppose 3*z + 4*u - 124 = 0, 0 = 2*z - z + 3*u - 48. Let q = -2/1589 + -26893/95340. What is the common denominator of q and 242/(-11)*5/z?
180
Find the common denominator of 57/530 and ((-33)/(-1))/(1 - 101).
5300
Suppose -8*q - 108 = 19*q. Find the common denominator of q/(-4) - 2/14 and 40.
7
Let d(w) = 2*w - 32. Let h be d(18). Suppose 0 = h*m - 7*m + 18. Find the common denominator of 79/m + 8/16 and -47/14.
42
Let n = 186260/57673 - 158/49. Let z = -432624700468937/69443 + 6229925269. Let g = n - z. Calculate the common denominator of 12 and g.
59
Let d be (-3709666)/(-48)*(-203)/(-294)*-3. Let f = 160090 + d. Find the common denominator of f and 29/9.
1008
Let z = -8 + -4. Suppose 0*s - 10 = -s. Calculate the lowest common multiple of s and 9/(z/(-64)*2).
120
Let b = 4302 + -3979. Calculate the smallest common multiple of b and 76.
1292
Suppose -5*a = 5*c - 345, a = -3*c - 0*c + 69. Let l = a - 9. What is the smallest common multiple of 40 and l?
120
Let u = 7028 + -6606. What is the lowest common multiple of 36 and u?
7596
Let z = -466153/18 - -25891. Calculate the common denominator of z and (-17)/17 + 1/12*118.
18
Let m = 1644 + -70676/43. Find the common denominator of 19/16 and m.
688
Let x = -186 - -342. Let z = x - 18. Calculate the lowest commo