120*i = -123*i + 561. Let m = i - 167. What is the lowest common multiple of m and v(-3)?
780
Let s = -3493 + 24490/7. Let o = -344/39 - -139/13. What is the common denominator of o and s?
273
Let g = -688/15 + 6032/135. Let f = -18 - -15. Find the common denominator of (-1)/f + (-50)/(-33) and g.
297
Let u = 791/16 - 9971/80. Let v = -78 - u. What is the common denominator of 21/20 and v?
20
Let c = -156973 - -121967969/777. Calculate the common denominator of c and 24/259.
777
Let a be 6/21*-1 + 387/7. Let j = -45 + a. Suppose -j*r + 216 = -r. Calculate the least common multiple of r and 44.
264
Let b = 208016 + -207994. Let m(u) = 100*u**2. Let x be m(1). What is the smallest common multiple of x/6 + 4/(-6) and b?
176
Let h = 606 - 583. Let n(d) = d**2 - 20*d - 49. Calculate the smallest common multiple of n(h) and 216.
1080
Suppose 4*j + 2868*k = 2870*k, 3*j - 5*k + 56 = 0. Suppose 3*n + 2*s - s = 571, -3*n + 551 = 5*s. Calculate the lowest common multiple of n and j.
192
Let g(f) = -f**2 - 16*f - 8. Let q be g(-10). Let n = q - 56. What is the common denominator of 49/3 and 1*n + (-70)/6?
3
Let x = -89 + 96. Let u = -1 + 3. What is the least common multiple of 2/7 + 26/x and u?
4
What is the common denominator of 53/27 and ((-27178)/(-12792) - 2) + (-2592)/(-117) + -22?
4428
Calculate the common denominator of 14 + (-2)/((-3024)/(-20974)) and 97/360.
7560
Suppose -35*u + 34*u + 234 = 0. Suppose -u = -12*s + 15*s. Calculate the common denominator of 127/12 and (91/s)/(1*-1).
12
Let b(t) = -t**3 + 7*t**2 + 17*t + 13. Let n(a) = -a**3 - 37*a**2 - 76*a - 30. What is the least common multiple of n(-35) and b(9)?
180
Let y = -35484/23135 - 6/661. Let p = y + 1352/105. Find the common denominator of p and (3/(-4))/(9/(-606)).
6
Suppose -12*w - 466 + 178 = 0. Let y = w + 26. What is the smallest common multiple of 32 and y?
32
Let v = -56897512/3363 + 50756/3. Let w = 29326/16815 + v. What is the common denominator of (-74)/(-4)*2/(-12) and w?
60
Let l be -11 + 2/6*-9. What is the common denominator of 99/8 and -1 + (-12)/l + 1046/168?
24
Suppose 117*b - 646 = 115*b. What is the smallest common multiple of 9 and b?
2907
Calculate the common denominator of 92/(-9)*(369/18 + -21) and 47/57.
171
Let m = -4246 - -1108201/261. Calculate the common denominator of m and ((-19)/(-3))/(56/(-48)).
1827
Let h = 1266429/6688 - 3597/19. Find the common denominator of -89/396 and h.
3168
Let b be (3 - 12)/(66/(-20) + 3). Let l = b + -28. Suppose -12 = -l*n - 2*i, -5*n + 0*n + 3*i + 38 = 0. What is the least common multiple of 1 and n?
7
Let v = -68 - -80. What is the smallest common multiple of v and (-40)/(-6)*(-7 + (-221)/(-26))?
60
Suppose -24*h - 28520 = -55*h. Calculate the smallest common multiple of h and 161.
6440
What is the common denominator of 46/65 and 12/24 + (-124)/(-156)?
390
Let l(g) = g**3 - g**2 - 2*g - 3. Let b be (-100)/(-18) + (-4)/(-9). Let p be l(b). Find the common denominator of 570/p + 1/(-2) and -93/22.
22
Suppose -29 = 3*g - 65 + 9. Calculate the least common multiple of g and 192.
576
Let u = -18 + 8. Find the common denominator of (5 - 524/120)/((-4)/u) and 62/(-60) + (-3)/(-15).
12
Let k be 4/(-12) + (-22)/6. Let w = k - -8. Suppose 3*g + 48 = 7*s - 2*s, 4*g - 32 = -w*s. Calculate the lowest common multiple of 14 and s.
126
What is the common denominator of ((-89425)/(-5694) - 2/12)/(-4) and 11/98?
1274
Let l = -48 - -48. Suppose l = 3*d + v - 5, 3*d - 2*v = 4*d. What is the smallest common multiple of d and 38?
38
Let w = -19 + 13. What is the common denominator of -34/7 and (4/(-21))/(w/35)?
63
Suppose 102*z - 104*z = 6. Let s be 2/4*(z + 1). Calculate the common denominator of s + ((-805)/(-50) - 3) and 35/9.
90
Let j(o) = -o**3 + 2*o**2 + 29*o - 12. Calculate the smallest common multiple of j(-9) and 6.
618
Let u = -3453 + 5058. Let a = u + -821. What is the lowest common multiple of 12 and a?
2352
Let h = 1059 - 366. What is the lowest common multiple of 1287 and h?
9009
Suppose -l + 9 = -5*r, 5*l + 6 = -2*r - 3. Let p = 781/5211 + -1/579. What is the common denominator of p and 7/((-1764)/(-456)) + (-6 - r)?
189
Let k be (-15)/20 + 33/12 + 4. What is the least common multiple of 93 and k/(-6) + 3 + 22?
744
Let d be (192/224)/(3/14). Suppose 4*t - 4*c - 108 = 0, -d*c - 130 = -0*t - 5*t. Calculate the least common multiple of t and 20.
220
Let x = 94 + 0. Let h = x + -64. What is the lowest common multiple of h and 9?
90
Suppose -6548 + 4460 = -12*h. Calculate the smallest common multiple of 174 and h.
174
Suppose 124*k + 45*k + 13*k = 3640. Let n = -12 - -18. Calculate the least common multiple of k and (-40)/n*(-12)/10.
40
Let o = -337/7 - -4147/70. Calculate the common denominator of 2529/810 - (-4)/(-18) and o.
10
Calculate the smallest common multiple of (4 - 26)/((-78)/195) and 33.
165
Let i be 5/15*(-1382725053)/66. Let q = -6976705 - i. Let h = 6756 - q. Find the common denominator of 17/24 and h.
264
Let p be (-1 - -5)*(-144943173)/18. Let a = p + 515084095/16. Let l = a + 16832. Calculate the common denominator of -7/12 and l.
48
Let l = -728 + 1343. Let v = l + -595. Calculate the least common multiple of 30 and v.
60
Suppose 4*l = -3*b + 24172, 3*l + 16117 = 2*b + 8*l. Let g = 64361/8 - b. Calculate the common denominator of g and (2/3)/((-32)/210).
8
Suppose z - 100 = 6*z. Let r be (-3207)/(-2)*z/(-30). Let j = r + -9577/9. What is the common denominator of 47/9 and j?
9
Let p = 1300522/305 - 4264. Calculate the common denominator of 52/205 and p.
12505
Let o = -7037 - -8517. What is the smallest common multiple of o and 52?
19240
Suppose 3*q + w - 90 = 0, -7*q + 11*q + w - 119 = 0. Calculate the common denominator of 43/30 and (q/(-6))/(20 + -24).
120
Let t = -65/108 + -1681/108. Find the common denominator of 7822/703980 - ((16/(-10))/4 + 2) and t.
90
Suppose 3*y - 4*t - 18 = -7*t, -4*y - 3*t = -20. Suppose s - 4*j = -y*j + 8, -4*j + 56 = 4*s. What is the smallest common multiple of 6 and s?
12
Let l(z) = -76*z + 1159. Calculate the smallest common multiple of l(12) and 95.
1235
Find the common denominator of -127/24 and 38020/(-12768) - (0/(-3) - -6)/(-2).
3192
What is the common denominator of -41/266 and 180/2430 + (-1289)/14364?
1596
Let c(a) = -a**2 + 63*a - 485. What is the least common multiple of 1014 and c(31)?
1014
Let h be ((-25)/3 - 1) + 26/78. What is the lowest common multiple of (-3)/(((-18)/(-16))/h) and 28?
168
Let f = 110181234 + -61811690480/561. Let s = 562/17 + f. What is the common denominator of (-281)/84 + 6/24 and s?
231
Let m = -18/13 - -80/39. Let g be 20/18*(-4)/(-20). Let k = m - g. Find the common denominator of 92/15 and k.
45
What is the common denominator of ((-50)/32)/(60/16 + -4) and (98 + -96)/(118/39)?
236
Let y(q) = -9*q + 15. Let n be y(2). Let v(r) = -3*r**3 - 7*r**2 - r + 3. What is the lowest common multiple of (-27)/(-4) + (-2)/(-8) and v(n)?
168
Calculate the common denominator of 4/8 - (7 - (-6813)/(-1080)) and 77/380.
2280
Find the common denominator of (-2)/5 - (191121/236670 - (-24)/(-20)) and 31/77.
24794
What is the smallest common multiple of 10/6 + 23 + (-286)/(-39) and 1324?
10592
Let a = 12293/8 + -1508. Let k = a - 2019/56. What is the common denominator of (-6)/15 - (-4)/10 and k?
7
Suppose 2 = -5*a + 7. Let k be (a/(-7))/((-18)/48523). Let n = 2679/7 - k. What is the common denominator of 89/22 and n?
198
Let w(t) = t**2 - 6*t + 9. Let q be w(5). Suppose -q*j = -9*j + 3*b + 151, -4*b = 5*j - 172. What is the least common multiple of 7 and j/(-24)*2/(-4)*3?
14
Let p(g) = -3*g + 28. Let u be p(8). Suppose u*x + 6500 = 4*q, 7*x - 2*q = 2*x - 8119. Calculate the common denominator of (-4)/30 + (-5)/((-450)/x) and 83/2.
6
Suppose -1643 = -13*k - 1513. Calculate the least common multiple of 389 and k.
3890
Let y(g) = 50*g - 279. Let t(x) = 17*x - 94. Let j(c) = 17*t(c) - 6*y(c). Let k = -24 + 64. What is the smallest common multiple of k and j(4)?
160
Let q(t) = 6*t - 30. Let i be q(5). Let o be ((-15)/(-10) + i)*-46. Find the common denominator of -51/76 and (o/(-4))/(45/50).
228
Let f = 575/56 - 85/7. Calculate the common denominator of f and 2 + (-846)/96 + 6.
16
Suppose i - 4*i + 42 = 0. Suppose -v = 3*x - 3*v - 40, v + i = x. Calculate the lowest com