.
1110
Let i(s) = -s + 35. Let z be i(0). Suppose 12*r - 224 = 16*r - 11*r. Let j = z - r. What is the smallest common multiple of 11 and j?
33
Let i = -6769 - -6784. What is the least common multiple of 174 and i?
870
Find the common denominator of (-9)/12*(11/(-165) + -4) and -121/24.
120
Suppose -20 = -5*f + 30. Calculate the lowest common multiple of f and 2 - ((-60)/(-10) + -63).
590
Let w = 4 - 16. Let l = w - -33. What is the common denominator of 121/12 and 139/(-80) - (l/12 - 2)?
240
Let x = 3 - -17. Suppose 0 = -13628*i + 13610*i + 72. What is the smallest common multiple of x and i?
20
Let b = 31525/399 + -1541/19. Calculate the common denominator of 686/360 + (-4)/18 and b.
420
What is the common denominator of -103/536 and (1 - 30/28*1)/(4620/539)?
8040
Suppose -3687 = -4*h + 4*c + 4321, -5*c + 7945 = 4*h. Calculate the least common multiple of h and 90.
11970
Calculate the lowest common multiple of 4270 and 9/6*-2*(-5 + (-1)/1).
38430
Find the common denominator of 13/24*(-44)/(-66) and ((5/(-30))/(3/129))/(-2).
36
Suppose 11*w - 8*w + 4*n - 49 = 0, -5*n - 25 = -2*w. What is the smallest common multiple of 1 and 68/(w/((-270)/(-12)))?
102
Suppose -191*h + 190*h = -10. Calculate the common denominator of (2/50)/(h*(-8)/(-3900)) and -131/168.
840
Let c(w) = -5*w**3 - 4*w**2 - 4*w + 2. Let p be c(-2). Let v = p + -19. What is the smallest common multiple of 17 and v?
255
Let g(f) = 2*f**2 - 24*f + 1. Let x be g(12). Let v = x - -9. Calculate the smallest common multiple of v and 5.
10
Let j = -151 - -283. Let x be 10*1*11/(-22). Let u(s) = 2*s + 18. Calculate the lowest common multiple of j and u(x).
264
Let w be ((-24)/10)/(14/(-420)). Calculate the least common multiple of 66 and (-6)/(-27) + 200/w + 8.
66
Let l(f) = -f + 20. Let j be l(5). Let o be (-2)/5703 + (j/(-3) - -5). Let b = -302273/39921 - o. What is the common denominator of -51/8 and b?
56
Let t be (-157334)/(-19908) - (-6)/(-42). Let w = t + -161/79. Let h = 827/978 + -2/163. Find the common denominator of h and w.
18
Let k = 291 - 59. Let z = -154 - -156. What is the smallest common multiple of k and z?
232
Let a = -11651 + 2236991/192. Find the common denominator of a and (-13 - -16)*(-31)/16.
192
Let u = 142351611/22 - 6468777. Let f = u - 1755. Let o = -14208 - -227233/16. What is the common denominator of o and f?
176
Let x = -58008 - -23203183/400. Find the common denominator of x and -109/200.
400
What is the common denominator of (7 + (-1114)/180)/(6/(-15)) and -109/66?
396
Let x(m) = -140*m + 1. Let j = -53298 + 53325. What is the least common multiple of j and x(-1)?
1269
Let m = 132475 + -45571431/344. Find the common denominator of 23/80 and m.
3440
Let t(v) = 2*v**3 - 2*v + 1. Let a be t(1). What is the common denominator of 0 + 45/(-96) + 21*8/168 and ((-38)/80)/(a/(-2))?
160
Let a = 2/4827 + 487511/38616. What is the common denominator of a and (1 - 0)*(5395/26)/5?
8
What is the smallest common multiple of 264 and (-6*(-6)/(-24))/(3*2/(-96))?
264
Let n = 7379 + -391114/53. Let v = n - 1849/636. Let s = 6027/10 - 610. What is the common denominator of s and v?
60
Let d = -35531 - -1492369/42. Find the common denominator of d and 35/533.
22386
Calculate the lowest common multiple of (2 - -6 - 7)*-124*-10 and 8.
1240
Suppose -143 = -7*g + 67. Let a(l) = -18*l + 454. Calculate the lowest common multiple of g and a(23).
120
Let g be 165/(-231)*384775/(-18). Let j = g + -15269. Calculate the common denominator of -22/9 and j.
126
Let w(q) = q + 1. Let n(k) = -k - 7. Let t(b) = -n(b) - 5*w(b). Suppose -4*h - 16 = -0*h. Calculate the smallest common multiple of t(h) and 34.
306
Calculate the common denominator of -127/54 and (12 + 847/(-66))*1 - (-13)/(-5).
270
Suppose 5*a = 2*o - 236, -4*o + 0*a + 2*a + 440 = 0. Find the common denominator of -6*(-1782)/(-216)*1/(-24)*-2 and 11/(-3)*o/(-16).
8
Suppose 1948 = 2*g - 4*w, -26*w + 29*w - 4857 = -5*g. Calculate the smallest common multiple of g and 36.
972
Suppose 89*a - 5660 = -1655. Suppose -37 - 3 = -2*w. Calculate the least common multiple of w and a.
180
Suppose 5*g - 336 + 31 = 0. Suppose 2*c + 3*l + 10 - g = 0, 3*l = -5*c + 105. Let h(v) = -3*v**2 + 11*v. What is the lowest common multiple of h(3) and c?
18
What is the smallest common multiple of 120 and 3/((-20)/(-20)*1/31)?
3720
Find the common denominator of -76/99 and 1*-2*(-14)/24*16/(-2772).
297
Calculate the lowest common multiple of (-3878 - -6)/(-8) + 11 + -20 and 25.
475
Let x = -64/6223 - 437891/4013835. Find the common denominator of x and -19/90.
3870
Let f = -2251/8 + 292. Calculate the common denominator of (327/(-105) + 3)*105/(-14) and f.
56
Suppose -2*f - 5*y = 12, 2*f - y + 5 = 17. Suppose 5*a + c - 178 = 0, 5*a - 3*c = 47 + 119. Calculate the smallest common multiple of a and f.
140
Let r = -56673/25 - -2267. Find the common denominator of -1/26 and r.
650
Suppose -119*j = -11*i - 123*j + 697, -5*i - j + 307 = 0. Let k(h) = h - 2. Calculate the lowest common multiple of k(5) and i.
177
Let a be (6/216)/((-672)/(-126270)). Let o = a + -315/64. Find the common denominator of o and -97/28.
84
Let k(r) = r**2 + 4*r + 3. Let f be k(-1). Suppose -2*h + o = -f*o - 23, -o = -h + 13. What is the lowest common multiple of h and 16?
80
Let f = -77 + 78. What is the common denominator of -97/14 and 4/((-480)/(-594)) + f?
140
Let n(y) = -43 + 19*y + 19*y - 17*y + y**3 + 24*y**2. Suppose 2*h - 3*h = 4, 3*s - 65 = 5*h. What is the lowest common multiple of s and n(-23)?
15
Find the common denominator of (-14 - -5 - 4)/(3 + 5) and ((-7)/(-4))/((-855)/260 - -3).
120
Let o be 3/(-1) - -4 - -3. Suppose 0*s + 2 = -o*s - 2*a, -s + 4 = -a. Calculate the smallest common multiple of 5 and s + (110/4)/(2/4).
280
Suppose 0 = 3*f - 3*o - 18, 10*o - 6*o = -4*f + 16. Suppose 60 = f*a - 5*g, a - 3*g = 4*a - 30. What is the least common multiple of a and 3?
33
Let f = -7 - -17. Let u(i) = i**3 - 10*i**2 + 15*i + 2. Let b be u(7). Calculate the lowest common multiple of (-3)/(75/b)*5 and f.
40
Suppose i = 5*b + 75, 4*i - 129 = 701*b - 700*b. What is the least common multiple of 105 and i?
210
Suppose -15 = -k - 10. Suppose k*w + 5 = -15. Let z(d) = -5*d - 9. What is the lowest common multiple of 8 and z(w)?
88
Suppose 20*i - 16*i - 3*k - 35 = 0, 0 = i - 5*k - 13. Suppose -4*q + 2*g = -26, 13*q - 49 = i*q - 3*g. What is the least common multiple of 10 and q?
40
What is the common denominator of 15/(-108)*87/(-8) and ((-7)/168)/((-800)/404 + 2)?
96
Suppose 5*m = 13 + 32. Let a = 42 - 38. Suppose a*x + x - 80 = -5*w, -3*x = -12. What is the least common multiple of m and w?
36
Find the common denominator of (1 + (-67)/68)*133298/(-17347) and -23/86.
27778
Suppose -2*t + 445 = 225. Let s = 120 - t. Suppose 2*k + 4*l - 304 = 0, 3*k - 211 = -2*l + 253. What is the smallest common multiple of k and s?
780
Let c be (184 - 62)/(4/(-18)). Let l = 617 + c. What is the lowest common multiple of 32 and l?
544
Let i be -1 + -409 + 0/((-12)/3). What is the common denominator of 97/16 and (-10)/(-6)*(-165)/i?
656
Let w = 21229/7758 - 54/431. Let k be (3/100)/((-204)/(-48)). Let b = k - -589/850. Calculate the common denominator of b and w.
90
Find the common denominator of -29/208 and 75/91 - ((-18)/(-7) + -2).
1456
Let y = 8129105 - 50189094113/6174. Find the common denominator of 107/22 and y.
67914
Let g be 0 - (3/(-4) - (-9)/12). Let c(v) = v**2 + 2*v + 196. Let y be c(g). Find the common denominator of (y/20 - 4)/((-66)/(-5)) and 121/18.
198
Calculate the smallest common multiple of 35 + (-3)/8 + 1032/192 and 340.
680
Let u(x) = -x**3 - 8*x**2 - 6*x - 21. Let k be u(-8). Let p = -7422 + 59563/8. Let g = k - p. What is the common denominator of 47/36 and g?
72
Calculate the smallest common multiple of 196 and 2*(107 + 11 + -20).
196
Let h(y) = 39*y**2 + 10*y. Let w = -36 + 31. Let i be h(w). Calculate the common denominator of (-2)/10*(-6)/((-120)/i) and -11/20.
20
Let j = 274 + -166. Find the common denominator of 68/117 and (9/j)/((-1)/(-107)).
468
Let c be (-4)/(-18) - (-1 + 80/36). Let s be (c/3)/(5/45). What is the smallest common multiple of 1 - (s - 9)/3 and 10?
10
What is the least common multiple of (64/10)/(58/870) and 588?
4704
Let b be (1053384/180)/(11/5 - 3). Let