
154
Suppose 0 = 2*u - 7*u + 30. Suppose -5*l = -3*n - 2*n + 955, -194 = -n + 2*l. Calculate the lowest common multiple of u and n*((-22)/77)/(4/(-7)).
282
Let g = -1798 - -928. Find the common denominator of (-88)/(-60) - 3 - 0/(-3) and (111/108 + -1)*g/(-9).
270
Suppose 0 = t - 22*k + 19*k + 8, 5*k - 10 = 2*t. Let x(i) = -i**3 + 9*i**2 - 7*i - 3. Calculate the lowest common multiple of x(8) and t.
10
Let f = 9155 + -9075. Calculate the lowest common multiple of 3 and f.
240
Suppose -71*t + 18811 - 4363 = -29*t. Calculate the least common multiple of t and 14.
2408
Suppose 0 = -294*s - 0*s + 2940. Calculate the lowest common multiple of s and 2328.
11640
What is the common denominator of -93/92 and (3/(-18))/(828/(-20136)) - 4?
828
Suppose -8*d + 252 - 36 = 0. Suppose s - 3*t = 1810, 3*s = 8*s - t - 9092. What is the common denominator of 0 and (-2)/d*-3 - s/1989?
13
Suppose -87*k + 90*k = 3*d - 1290, 0 = d - 5*k - 454. What is the smallest common multiple of 424 and d?
424
Let n = 22579 - 6209268/275. Calculate the common denominator of n and (-124)/4*1/(-5).
275
What is the common denominator of (-33)/8*(358/18 - 17) and 11/42?
84
Let g be (63/28)/(7035/12). Let s = g - -152263/42210. Calculate the common denominator of s and 71/146.
1314
Suppose -17*y + 202 - 712 = 0. Let w(k) = 2*k + 66. Let j = 10 - -4. What is the lowest common multiple of j and w(y)?
42
Suppose 24*q + 20*q - 210 = 9*q. Let h = 5 + -3. Let z = 17 - h. What is the lowest common multiple of z and q?
30
Suppose -2*y + 311 = -k, 6*k + 1 = 7*k. What is the common denominator of -6/7 and 6/(-9) + (-31)/y?
364
Calculate the least common multiple of 240 and 10/8*2 + 315/30 + -1.
240
Let w(x) = x**3 + 34*x**2 - 28*x - 64. Let v be w(-34). Calculate the smallest common multiple of (v/40)/(5/25) and 30.
1110
Let m(d) = -45739*d - 56. Let i be m(7). Let y = 67248247/210 + i. Calculate the common denominator of -43/5 and y.
210
Let l = -46 - -26. Let q(o) = o**3 + 20*o**2 + 3*o + 9. Let k be q(l). Let d = -31 - k. What is the least common multiple of 12 and d?
60
Let r be 14 + 35/(-4 - 3). Suppose -120 + 30 = -r*c. Calculate the smallest common multiple of c and 18.
90
Let q = 403347 + -183926353/456. What is the common denominator of -41/108 and q?
4104
Let c(w) = 8*w + 59. Suppose -73 = 13*f + 18. Let j(p) = -2*p**3 - 8*p**2 - 7*p - 4. What is the least common multiple of c(f) and j(-6)?
546
Suppose -4 - 56 = 3*d. Find the common denominator of (200/90 - 2)/(d/471) and 7/3.
30
Let q = 95 + -67. Let k(a) = 3*a**2 + 5*a + 2. Let c be k(-6). Calculate the smallest common multiple of q and (c/(-14))/(6/(-21)).
140
Suppose 0*k + k - 5*s = 364, k - 4*s = 366. Calculate the common denominator of k/170*(-2)/(-20) and 47/100.
100
Let q = -190 - -190. Find the common denominator of -67/40 and q - (-380)/(-208)*-1.
520
Let s = -836 + 834. Suppose 4*u - 24 = 2*u. What is the smallest common multiple of u and 144/32 + (-2 - s/4)?
12
Find the common denominator of ((-11)/12)/((-833)/(-221) + -14) and 65/42.
1596
Let b = -83337/14 - -5950. What is the common denominator of b and -63/2788?
19516
Let r(y) = -y**2 + 114*y - 1922. Calculate the lowest common multiple of r(66) and 33.
41118
Let d(q) = -6*q**3 - 4 - 7*q**2 + q - 4*q + 5*q**3 - 3*q. Let i be d(-6). Let c = 14 + i. What is the least common multiple of 8 and c?
40
Suppose -4*x + 5 + 3 = 0. Let v be (-5)/x*(-64)/20. Let p(t) = -t + 20. Calculate the least common multiple of p(v) and 6.
12
Suppose 0 = -3*h - 5*c + 38, 9*h = 6*h - 4*c + 37. Let g(m) = 19*m - 110. What is the lowest common multiple of 110 and g(h)?
990
Suppose -24*c = -26*c + 884. What is the smallest common multiple of 11 and c?
4862
Suppose 70*v = -16*v + 20*v + 23958. Calculate the smallest common multiple of 66 and v.
726
Find the common denominator of (-12)/1 - (-82434)/6336 and 16/33.
1056
Let h = 3/12440 + 565963/236360. Find the common denominator of h and 4/6 + (-42)/16.
456
Suppose -5*n + 28*n - 114816 = -115*n. What is the least common multiple of n and 1144?
9152
Calculate the common denominator of 19*(88 + -95)/(4*3) and 79/1796.
5388
Let i(l) = 24*l - 2298. What is the lowest common multiple of 36 and i(106)?
1476
Let p = 9/126991 + 11287727/204201528. Calculate the common denominator of -67/36 and p.
4824
Let j(h) = -h + 1. Let u be (0 - 0 - -1)/(-1). Calculate the lowest common multiple of j(u) and 8.
8
Suppose -2*y = -z + 10 + 174, 3*y + 546 = 3*z. What is the smallest common multiple of 40 and z?
360
Suppose 5*b + 66310 = -5*r, 2*r + 6003 + 20506 = -5*b. Let u be (r/27)/(72/(-27)). Let j = -1455/8 + u. What is the common denominator of j and -25/26?
234
Let a(w) = w**3 - 36*w**2 + 33*w + 127. Let c be a(30). Let p = c - -25847/6. What is the common denominator of ((-1)/(-24))/(1/58) and p?
12
Suppose 0 = 22*p + 88*p - 23*p - 134241. What is the least common multiple of p and 11?
16973
Let h(w) = -w**3 - 7*w**2 + 3*w + 2. Let c be h(-7). Let y = c + 32. What is the lowest common multiple of 2 and y/26 - (-21)/2?
22
Suppose 76*o = 9*o + 21715 + 5956. Calculate the smallest common multiple of o and 2773.
19411
Suppose 71*p - 14437 - 139420 = 0. Calculate the lowest common multiple of p and 1182.
13002
Let f = -260 - -237. Find the common denominator of (-50)/10*2*f/285 and 19/24.
456
Let t(n) = n**3 + 18*n**2 + 74*n - 30. Let s be (-651)/(-28) + (-1)/4. Let q = s + -3. Calculate the smallest common multiple of q and t(-8).
180
Let x(n) = -n**3 - 15*n**2 - 41*n - 38. What is the lowest common multiple of 11696 and x(-12)?
128656
Suppose -139*s + 144*s + 35 = 0. Calculate the common denominator of ((-3)/(-10))/(s - 946/(-130)) and (-3)/(-9)*(-5)/(-8).
24
Let d = -4616 - -4704. Calculate the smallest common multiple of d and 100.
2200
Let k = 4531/50 + -452/5. What is the common denominator of k and ((-2)/(-6))/(-15*23/5520)?
150
Let f = 11417289/12920 - -23/2584. Let c = f + -883. What is the common denominator of c and 137/70?
70
Suppose -5*b - 35 = -5*q, -3*q + 0*q - 3 = 5*b. Suppose 0 = u + 2*j + 3 - 18, -q*u + 2*j = -20. Find the common denominator of -37/58 and (81/u)/1 - 4.
406
Let c = -22/267 - 1165/623. What is the common denominator of c and 62/189?
189
Let j be 1 + 20 - 4 - 5. Let f(r) = 3*r + 15. Let w be f(j). Suppose w + 3 = l. Calculate the lowest common multiple of 6 and l.
54
Calculate the common denominator of 13/485 and (1 + (-16)/30)/(138/(-3588)) - -6.
1455
Let f be (-5)/(-12)*1324344/120. Let q = f + -4601. What is the common denominator of q and 113/24?
24
Let t be ((-5)/75 + (-6)/(-15))*6. Suppose 4*z = -8, k - 1 = -t*z - 2. What is the smallest common multiple of 27 and k?
27
What is the common denominator of 169/2100 and (187/44 - 7) + 40108/14400?
25200
Suppose 13*z - 14*z + 21 = 0. Suppose 0 = -14*g + 51 + 75. Calculate the lowest common multiple of 228/z - (-1)/7 and g.
99
Let p be ((-12)/16)/((7/12)/7). What is the common denominator of (-74)/174 - (-1)/(0 - 3) and (87/(-27))/((-6)/p)?
174
Let d = 275797/20 - 13794. Find the common denominator of (2/(-36))/(360/18900) and d.
60
Let r = 83/318 - -7489/954. Let x = -749953441/3447 - -217567. Let l = x + 78044/37917. What is the common denominator of l and r?
99
Find the common denominator of 89/988 and 210/(-399) + ((-3)/1 - -1).
988
Suppose -8*o + 13*o - 4*k = 220, -5*o + 2*k = -210. Let p = 242/7 - 296/7. Find the common denominator of ((-31)/(-4))/(o/32*-1) and p.
35
Suppose -q + 12 = z, 2*q + z + 36 = 7*q. Let s(n) = -n**2 + 14*n + 9. Let o be (-1 - (2 + 2))/((-45)/54). Calculate the least common multiple of q and s(o).
456
Calculate the common denominator of (-8936)/(-704) + -11 + 5 + -7 and 53/440.
440
What is the common denominator of 31/49 and 0 + 2 - (192/(-120) - 15962/(-4270))?
2989
Let u = 668 - 433. Let w = u + -9389/40. Find the common denominator of -38/5 and w.
40
Let m = 3119 - 3121. Suppose 0 = -4*n - 35 - 29. Let c = m - n. Calculate the least common multiple of c and 30.
210
Let u = -47/3 + 163/15. Let g = 874592/1044857 - -4/24299. What is the common denominator of u and g?
215
Calculate the common denominator of 8/2321 and (2 + (-1856)/844)/((-180)/24).
11605
Let o = 20393 + -17401. What is the smallest common multiple of 16 and o?
2992
Find the common denomi