 the common denominator of 42/(-2380)*(-110)/(-4) and 4*(-45)/24 - 9.
68
Let n be ((-72)/(-12032))/(23/3). Let k = n - -589672447/103776. Let s = 5707 - k. Find the common denominator of s and -14/9.
18
Suppose -n - 9*g = -5*g - 242, 2*g = -5*n + 1174. Let q = -232 + n. What is the smallest common multiple of q and 22?
22
Let y(h) = 55*h**2 + 4*h + 1. Let u(l) = -56*l**2 - 3*l - 1. Let x(m) = -4*u(m) - 3*y(m). What is the smallest common multiple of 10 and x(1)?
60
Let q(y) = -33*y + 238. Let v(w) = 100*w - 712. Let o(d) = 17*q(d) + 6*v(d). What is the smallest common multiple of o(8) and 8?
344
Let c = 14/939 + -1046/322077. Find the common denominator of c and -143/588.
4116
Suppose 0 = -498*f + 537*f - 7800. What is the least common multiple of f and 280?
1400
Let t = 155132/103 - 1506. Find the common denominator of t and 151/12.
1236
Let j(w) = 2519*w - 14742. What is the smallest common multiple of 3/(-1)*28/(-6) and j(6)?
2604
Suppose 0 = 3*w - w - 4702. Let r = w - 35207/15. Let h = 4042049/39 + -103642. Find the common denominator of h and r.
195
Let a = -567 - -573. Find the common denominator of -139/150 and 155/a*6/60.
300
Suppose 19*p = -54*p - 13*p + 254904. What is the lowest common multiple of 684 and p?
8892
Let u = -10090 + 14861. Let l = 3774 + -1954. What is the common denominator of u/l + 1/5 and 87/16?
112
Let z(w) = 2*w - 3. Let k be z(0). Let i be (-5 - -29)*(-4)/k. Suppose -4*d = -6*d + i. Calculate the least common multiple of 4 and d.
16
Suppose -z + 29 = 2*c - 6*c, 3*c - z + 23 = 0. Let h be 34/6 + c/9. Suppose -h*j - j = -30. What is the smallest common multiple of 6 and j?
30
Let n be (-7 + -3)*(-261)/6. Suppose 2*a + 62 = 3*v, 16 - 46 = -v + 3*a. Calculate the least common multiple of v and 3*n/72 + (-1)/8.
18
What is the common denominator of -64/1443 and -2 - 0 - ((-412)/780 + -2)?
7215
Let o(l) = -12*l**2 + 25*l - 4. Let q be o(4). What is the common denominator of 69/32 and (1016/q - (-5 + 2)) + -2?
96
Let o = 9239 + -8657. What is the least common multiple of 582 and o?
582
Suppose -62 = -y - 58. Suppose -y*z = -4*q - 72, 0 = -z - 0*z + 5*q + 18. What is the lowest common multiple of 72 and z?
72
Suppose -4*z + 3 + 5 = 0. Suppose -5*g - z*l = 2*l + 225, 20 = 4*l. Let n = 83 + g. What is the least common multiple of 8 and n?
136
Suppose 4*p - 5*l = -202, 3*p = 4*l - 10 - 142. Let b be (64/p)/((-2)/270). What is the common denominator of 5/(-3)*(-738)/b and -92/15?
30
Let h = -19 + 21. What is the common denominator of 1716/(-88)*(-1)/3 and (h/(-1))/(18/43)?
18
Let y = 143488385/276 + -519886. What is the common denominator of y and -55/2?
276
Let k be ((-357099)/(-36) - -1)*(-6)/345. Let z = k + 345/2. Calculate the common denominator of z and 5/7.
483
Let x = -173 + 139. Suppose -270 = 4*k + k. Let s = x - k. Calculate the least common multiple of s and 12.
60
Let n(a) = -11*a + 876. What is the smallest common multiple of n(-24) and 9?
3420
Let s = 143 - 63. Suppose 4*k + 5127 = 5147. What is the lowest common multiple of s and k?
80
Let q be (1296/45)/((6/10)/3). Calculate the common denominator of (-6*8/1080)/(q/1130) and 9/22.
3564
Suppose 32*t - 203 = 8*t - 11. Let x(b) = -b**2 + 4*b - 1. What is the smallest common multiple of t and x(3)?
8
Let r(n) = n**3 + 7*n**2 - 10*n + 8. Let h be r(-9). Let f be ((-301566)/h)/((-21)/(-14)). Let g = -3143 + f. Find the common denominator of -53/8 and g.
16
Let d = -6056 + 193811/32. What is the common denominator of d and 756/320*((-1)/(-3) - -1)?
160
Let d = 196/39 - 3322/273. Find the common denominator of 83/15 and d.
105
Let j be (11/(-255))/((-410)/(-25) - 2). Let x = j + 113041/348840. Find the common denominator of x and -1/57.
570
Suppose 23863 = 5*g + 4*d - 8099, 4*g + 2*d - 25566 = 0. Let i be (1/g)/(10/(-441867)). Let k = i - 3/1775. Calculate the common denominator of -67/8 and k.
24
Let o = -25063/18 + 1391. Find the common denominator of ((-3)/20)/((-549)/(-20008)) and o.
90
What is the smallest common multiple of 7/(49/35) + 131 and 7?
952
Suppose -34*b + 40*b - 1674 = 0. Let d = 324 - b. What is the least common multiple of 48 and d?
720
Let l be (8/(-14))/((-2)/14)*1. Suppose -l*p + 2*x = -96, 8*p - 5*p - 72 = -x. Calculate the least common multiple of p and 742/42 - (-1)/3.
72
Let z = 1613371 + -6372815401/3950. What is the common denominator of 131/2370 and z?
11850
Let m = -471332651/41730 - 124/6955. Let i = m + 11270. What is the common denominator of i and 4*(-1 + 4/(-44))?
66
Suppose 69*g - 66*g = 162. Suppose 5*n = 7*n - g. What is the smallest common multiple of n and 12?
108
Suppose 3*w + t = -8 - 0, 5*w + t + 10 = 0. What is the least common multiple of 16/(-224)*(6 - 34) and (4 - (-4)/(-2)) + w?
2
Let n be (-5)/(-2)*47049/60. Let q = 1956 - n. Find the common denominator of (2/3 + 0 + -1)*589803/(-4418) and q.
8
Let v(z) = -63*z - 23. Let s be v(-4). Let w = s + -219. Calculate the lowest common multiple of w and 176.
880
Calculate the common denominator of 19/160 and (1 - 6604/6624)/(22/231).
11040
Suppose -5*a - 2*q = -202, -3*q + 162 = 5*a - 36. Let h be 20 - (2 + 0 + -2). Let f = 36 - h. What is the least common multiple of a and f?
336
Let m(v) = -2215*v - 589. What is the least common multiple of 1 and m(-1)?
1626
Let q be (16/172*30)/98. Let o = -119633/164346 - q. What is the common denominator of -17/18 and o?
234
Let y be ((-1)/2)/((-9)/18). Calculate the common denominator of (-879)/(-834) - y*4/4 and -3/10.
1390
Let q = -8/180745 + 3109894/24400575. What is the common denominator of 43/275 and q?
7425
Let v = 4883152163/2970 - 1644159. Find the common denominator of 89/2376 and v.
11880
Let k = -51508 + 463504/9. Calculate the common denominator of k and (-1 + (-10)/12)*3.
18
Let b = -41 + 46. Suppose 0 = -b*x - 1 + 41. Calculate the smallest common multiple of 36 + 2 - (2 + -2) and x.
152
Suppose -8*n - 576 + 1456 = 0. Let p = 17 - 15. What is the smallest common multiple of n and p?
110
Suppose 5*s + 5*h = -95, 4*s - 3*s - 6 = 4*h. What is the common denominator of 162/16*(-1)/(-8) and 398/(-44) + (-15 - 266/s)?
704
Calculate the common denominator of (1058/(-2116))/(2/(148/(-2))*10) and -99/722.
7220
Suppose 5*q + 33 = 3*p + 11, -3*q = -2*p + 14. Let m be ((-2)/p - 3/(-2))*-422. Let u = m - -1673/4. Calculate the common denominator of 1 and u.
4
Let d(p) = -96*p + 32. Let s be d(-3). Suppose 13*b = 8*b - 3*u + 288, 5*b = 5*u + s. What is the smallest common multiple of 40 and b?
120
Suppose -16*c = -42276 + 7444. Let y = -17393/8 + c. Find the common denominator of 95/12 and y.
24
Let f(j) = 30*j**2 + 18*j - 7. Let t be (16/(-12))/(3/9). Let k be f(t). Calculate the common denominator of 19/30 and (-6)/(-27) - k/36.
60
Suppose b = -10 + 15. Let g(q) = -q**3 + 3*q**2 + 12*q - 2. Let i be g(b). Let k = i - -8. What is the least common multiple of 12 and k?
48
Let o be ((-10)/4)/((-145)/49068). Find the common denominator of 65/27 and (-48)/(-22)*(10 + o/(-81)).
297
Let g = -625334 + 5002761/8. What is the common denominator of g and (-6)/94*17/(-18)?
1128
Let w be (-69)/(-15) + (-6)/(-15). Suppose -2*v = -u - w*v - 11, 4*v = 2*u - 28. What is the least common multiple of 1 + -3 - 152/(-38) and u?
4
Let y = -6704839709/2220 + 3020198. Find the common denominator of -9/10 and y.
2220
Suppose -3*k = -2866 + 1036. What is the least common multiple of 110 and (-63)/(-147) + k/14?
220
Let b be 39/26 + (-851685)/(-260227). Let p = b - 3/23657. Let i = -12012 + 336419/28. Calculate the common denominator of i and p.
308
Suppose -3*j + 44 = j. Let y be (-10)/55 + 904/j. Suppose -4*i + i + 2*r = -y, 0 = i + 3*r - 20. Calculate the lowest common multiple of 12 and i.
156
Find the common denominator of (72/(-10) + 7)/((-2)/(-5)) and ((-5)/45)/((-2)/201).
6
Suppose -5*f + 6685 = 4*n, 3*f + 8310 = 5*n - 0*n. Calculate the smallest common multiple of 9 and n.
1665
Let o = 55 - 57. Find the common denominator of 139/12 and o/12 - (-903)/(-10269).
1956
Let a = 71 - 73. Calculate the lowest common multiple of (20/8)/(1/a*-1) and 1.
5
Suppose -2*c = -3*c - 3*b - 1, 0 = 5*c - 2*b - 80. Calculate the lowest common multiple of c and 3498.
24486
Suppose r - 4 = 0, -96 = -2*c - 3*c - 4*r. Let a = 37 - 15. Suppose -a + 16 = -w. What is the le