4. Calculate the lowest common multiple of 3 and y.
72
Let n = -181 - -177. Find the common denominator of (-1 - n)/(((-1350)/320)/(-15)) and -89/30.
30
Suppose -b = 21*l - 16*l - 231, l - 6*b - 9 = 0. Suppose -4*t = t - 200. Calculate the least common multiple of l and t.
360
What is the common denominator of ((-121)/2)/(1*-3) and 9384/170*12/216?
30
Let x(f) = -119*f - 178. Let l be x(-32). Calculate the common denominator of 61/88 and (-12)/(-36) - 595/l.
968
Calculate the common denominator of (-112)/16 - (-222)/8 and ((-3)/10)/((-6)/465).
4
Suppose -85*v + 308 = -31*v - 16. Calculate the least common multiple of v and (-8*1)/((-2)/57).
228
Let z = 170003/649138 + 2/139101. Find the common denominator of (-143)/63*9/6 and z.
42
Let o(x) = 3*x - 115. Let z be o(40). Suppose z*l + b = 65, 0*l - 3*l = b - 41. What is the smallest common multiple of l and 3*((-5)/(-3) + -1)?
12
Calculate the least common multiple of 321 and (321/6)/(54/(-4) + 12)*-81.
2889
Suppose 0 = 5*z - i - 6, 2*i - 2 = 3*z + 7. Let v = -279 - -187. Calculate the lowest common multiple of z and v/(-3) - 2/3.
30
Suppose 3*s = -4*s. Suppose s*l + 0*l = -7*l. Suppose l = 5*o - 83 - 27. Calculate the least common multiple of o and 12.
132
Let f = -1348 + 36326/27. Let d = -4/4831 - 410383/304353. What is the common denominator of d and f?
189
Let n(q) = 2*q**2 - 40*q - 375. What is the smallest common multiple of 1800 and n(27)?
1800
Suppose -3*c - 4*s + 36 = 0, 5*c - 38 - 22 = -2*s. What is the smallest common multiple of c and 39/18 - (-24)/216*(-12)/8?
12
Let i be 2 + (-26)/7 + (-2)/7. Let s be (-2)/i*(4 + 7 + -1). Calculate the common denominator of (12 + 7)*(-1)/s and -46/19.
190
Let g(j) = -129*j + 402. What is the smallest common multiple of g(-2) and 180?
1980
Suppose -b + 62 = 40. Suppose b*s - 1212 = 10*s. Suppose 0 = 7*r - s - 46. What is the smallest common multiple of r and 7?
21
Let y be -53 + 54 - (-1 + 0/(-2)). Suppose -12 = -4*s, 2*s + 34 = y*r + 12. What is the smallest common multiple of r and 18?
126
Let t be 4/(-26) + 2*964/12870. Let k = t + -31121/15840. What is the common denominator of k and 81/16?
32
Suppose -79*o + 40940 + 27632 = 0. What is the least common multiple of o and 6?
2604
Let d(c) = c**3 - 14*c**2 + 48*c + 8. Let a(p) = -p + 1. Let m(o) = o**2 + 6*o - 5. Let u be m(-6). What is the smallest common multiple of d(8) and a(u)?
24
Let n = -10 + 19. Let c(h) = h**3 - 97*h**2 + 193*h - 279. Calculate the lowest common multiple of c(95) and n.
18
Suppose -5*w + 50 = -31*m + 32*m, 3*w - 30 = 3*m. Find the common denominator of 78/9 - (-1 + 1) and 4824/240*w/(-12).
12
Suppose -2*f = 2*p - 8, 5*f = f. Suppose 0 = -5*a + 62*r - 57*r + 55, -2*a - p*r = -16. What is the lowest common multiple of a and 18?
90
Let h = -363 + 533. Suppose 3*d + 292 = 4*o + 7*d, -2*o + 4*d = -h. Let x = 79 - o. What is the lowest common multiple of x and 84?
84
Let q be ((-4)/14)/((-17)/119). What is the common denominator of (-21)/((-2016)/1840)*q/35 and 28/33?
231
Let h = -64 + 36. What is the common denominator of (-6)/(-6) - (1 - (-64)/108) and h/(-18)*180/24?
27
What is the lowest common multiple of (444/14 - 12/(-42)) + -9 and 1?
23
What is the common denominator of ((-12)/81432*-13)/(-3 + 578/186) and -107/18?
5220
Calculate the lowest common multiple of 174 and 880 - (-11 + 11 + 10).
870
Let r = 3387 - -89. Let v be 2/26*180806/(-4). Let f = v + r. Calculate the common denominator of f and 27/5.
130
Suppose -6*d + d = -4*l, 0 = -3*l + 3*d. Suppose -t + 5*f + 7 = l, -3*t - 9*f = -14*f - 61. Calculate the lowest common multiple of t and 69.
621
Let m = 106 - 78. Let k = 271 - 250. Calculate the least common multiple of m and k.
84
Let t = 89446661/454 + -197019. Find the common denominator of t and 35/122.
27694
Let l(d) = d**2 + 10*d + 8. Let m be l(-9). Let u = m - -39. Suppose 13829*b - 160 = 13819*b. What is the least common multiple of u and b?
304
Suppose 1931 - 59 = 8*g. Let i = g - 728/3. Calculate the common denominator of 58/9 and i.
9
Suppose 5*x + 266 = -t, -5*t - 4*x - 1304 = -5*x. What is the common denominator of (-1404)/(-40) + 36/90 and (t/15)/((-4)/(-10))?
2
Suppose 3*f + 22 = 208. What is the smallest common multiple of 13/(39/36)*(-90)/(-135) and f?
248
Let o be (-10)/55 - 35/(-11). Suppose 5*w + 5*a - 20 = 0, -14 = -o*w + w - 5*a. Suppose 0 = w*b + 5*b - 56. What is the lowest common multiple of 11 and b?
88
Let q(u) = -u**3 - 13*u**2 - 38*u + 13. Suppose -3*m + 7*m - 120 = 0. Calculate the smallest common multiple of q(-5) and m.
30
Let n(m) = 2*m**2 + 20*m + 150. Let s be n(-16). Find the common denominator of -99/32 and (s/(-80))/3 + (-4)/20.
32
Let a be (-4)/3*(78/(-4))/(-13). Calculate the common denominator of a - (-3)/((-630)/(-1057)) and (-1)/5*14/(-21).
30
Let m(v) = 5*v + 50. Let q be (-11 - 1)*(-4)/(-6) - 0. Calculate the least common multiple of 10 and m(q).
10
Suppose -48*k + 161*k + 1362 = 54472. What is the least common multiple of 40 and k?
1880
Let k(o) = -o**3 - 11*o**2 - o + 14. Let r be k(-11). Suppose 16*j + r = 11*j. What is the common denominator of ((-1325)/24)/j*(-2)/(-5) and 43/22?
132
Let o = -5020 + 6354. Calculate the least common multiple of o and 6.
4002
Let b = -4/137 - 13281/274. What is the common denominator of (3/156)/((-3)/220) and b?
78
Let g be (-1 + 49)*(13 + -12). Calculate the least common multiple of 2/12 - (-424)/g and 5.
45
What is the lowest common multiple of 2852 and 7/5 - 19341/(-1535)?
19964
Let z be ((-11838)/(-45) - -2) + 2/5. Let n = z + -1244/5. Find the common denominator of n and -25/8.
24
Let x = 622 - 34208/55. Let i = 3658/9 + -406. What is the common denominator of i and x?
495
Let g = 469735/27 - 17395. Find the common denominator of -23/1956 and g.
17604
Let x = -46327/6 + 7746. Calculate the common denominator of x and -47/352.
1056
Let g be 28 + -3 + 25/5. Suppose 2*f + 110 - g = 0. What is the common denominator of ((-22)/11)/(f/(-146)) and 2/7?
70
Let f be (-23)/((-108)/(-114) + -1). Let x = -417 + f. What is the lowest common multiple of x and 3?
60
Suppose 0 = 4*p, -2*p + 0*p - 49 = o. Let m = -37 - o. Calculate the lowest common multiple of 24 and m.
24
Suppose 7*k - 4*k - 5*c - 6 = 0, -5*k = -4*c - 10. Let v be (0 - k)*(-1)/(6/(-34641)). Let u = -254083/22 - v. Find the common denominator of u and -31/8.
88
Suppose 0 = -5*j - 20, j = 2*p + 5*j - 40. Let m(w) = -11*w**2 + 16*w + 4. Let k be m(-5). Let l = -341 - k. Calculate the least common multiple of p and l.
140
Let l be (120/(-8900))/(14/3240). Let w = -2/89 + l. Let n = w - -460/133. Calculate the common denominator of n and -23/8.
152
Let j = -16 - -18. What is the common denominator of (146/(-18))/((-92)/138) and j/1 - (-268)/80?
60
Let h = -1290560537/3322 + 388489. Calculate the common denominator of h and 53/18.
29898
Suppose -2*k + 1207 + 311 = 0. What is the smallest common multiple of k and 276?
3036
Let p be (-18)/(-225) - 80499/300. Let x = 286 + p. Calculate the common denominator of 41/58 and x.
116
Let j = 5474942 - 131372893/24. Let w = j + -3199/3. Find the common denominator of w and ((-684)/760)/((-9)/51).
40
Suppose 0*k = -c + k - 1, -3*c - 4*k = -18. Suppose -a - 5*q = 8, 2*q = -c*a - 0*a. What is the lowest common multiple of a and 2?
2
Let q(p) be the first derivative of 9*p**2 + 56. Calculate the least common multiple of 36 and q(2).
36
Let o = 391/35145 + -15/781. Calculate the common denominator of o and -83/792.
3960
Let y = -679049018 - -69249165667/102. Let n = -135628 - y. Find the common denominator of n and 121/20.
1020
What is the lowest common multiple of (6/(-4) - -3)*(-896)/(-168) and 572?
1144
Find the common denominator of (8/(-348))/((-9768)/14850) and -31/22.
23606
Let x = -192 - -191. Calculate the lowest common multiple of 45 and (13 - -2)/(4/(-6) - x).
45
Suppose 5*g + 15 = 4*h, -3*h + 5*g + 3 + 2 = 0. Suppose -3*l - h = -8*l. Calculate the common denominator of (-3)/l - (-2)/(-20) and 41/27.
135
Let f(p) = -43*p - 3. Let l be f(-1). Let z be (1 - (-45)/(-25))*l/(-2). Suppose 0 = -z*g + 18*g - 2. What is the lowest common multiple of 2 and g?
2
Suppose v = w + 443, 2*v = 4*w + 556 + 320. Calculate the smallest common multiple of v and 164.
18368
Let d = -42 - -57. Let u = d + 