e 3*z + 3*s = 6, -3*z = s - 3 - 5. What is the least common multiple of (12/10)/(3/20) and z + (-4)/((-4)/19)?
88
Let w be (-13518)/(-72) + (-5)/(-4). Let h = w - 170. Calculate the smallest common multiple of h and 7.
133
Suppose -28*w = -30*w - 5*j + 44, 2*j = 4*w - 88. Calculate the least common multiple of w and 136.
1496
Suppose 2*k + k - 1368 = 0. Let v = k + -430. Calculate the common denominator of v and -23/6.
6
Suppose 5*l = -0*l - 2*w + 838, 0 = -2*l + w + 337. What is the lowest common multiple of l and 8?
168
Suppose -5*a + 25 = 5*d, 5*d + 3*a - 16 = d. Find the common denominator of -1 - (-236)/44 - (d - 0) and 4 + (4 - 165/27).
99
Let s = 19501/1341894 - -2/8493. Calculate the common denominator of s and -91/15.
2370
What is the least common multiple of 187 and (-3 - -5)/((-44)/(-374))?
187
Let p = -194435/12 - -16214. Let f = -23645 - -709201/30. Find the common denominator of f and p.
60
Let j = 3621 + -3221. Calculate the lowest common multiple of j and 300.
1200
Let v(x) = 19*x - 40. Let s be v(6). Find the common denominator of -3 - (-1602)/1296*186/s and -109/10.
4440
Find the common denominator of 1/96 and (-286)/(-44)*(-66)/(-26).
96
Let o be 2/(-6) - (-105897)/99. Let w = o + -1090. Find the common denominator of w and 119/18.
18
Let a(f) = -15*f + 5*f + 28 - 50 + 25. Let d be a(6). Calculate the common denominator of 81/10 and (d/152)/(-1 - 176/(-170)).
40
Let l(i) = i**2 + 2*i + 1. Suppose 0*a = 2*a - 5*x - 9, 4*x = 5*a + 3. Let s be l(a). Calculate the smallest common multiple of (-4)/5*((-90)/s - 0) and 30.
90
Let r = 352 - 324. Suppose 25*y - r = 18*y. What is the lowest common multiple of y and 18?
36
Find the common denominator of -6*(-7 - 138/(-18)) - (-1026)/280 and -16/49.
980
Let y(w) = 94*w**2 + 137*w - 1207. What is the smallest common multiple of y(9) and 18?
68760
Let w = 45278 - 4165621/92. Find the common denominator of w and -89/92.
92
Suppose 26*u + 25*u = 40*u - 231. Calculate the common denominator of u and (-63)/276*(-3)/(-6).
184
Calculate the common denominator of ((-20)/210*9)/(-3 + (-183)/14) and -2/3585.
17925
Suppose -3*z = -0*z - 2*z. Suppose 3*y - 142 = 2*c, 110 = -z*c - 2*c - 5*y. Let n = -51 - c. Calculate the least common multiple of n and 7.
14
Let j be 4/14 + 6952/(-77). Let z = 106 + j. Find the common denominator of 6/z - 1812/(-160) and -25/26.
130
Let h = -459 - -456. Calculate the smallest common multiple of 84 and h*(-1)/2*(-32)/(-6).
168
Let c be ((-3)/(-6))/((-4)/(-6592)*-2). Let v be (-2)/1*c/8. Suppose 3*j - 29 = -4*z, -31 + v = 4*j - 3*z. What is the least common multiple of j and 36?
180
Let i = 19 + -21. Let s = 0 - i. Suppose -g + x = 3*g - 86, s*x + 40 = 2*g. What is the smallest common multiple of 38 and g?
418
Let p = 39667/14 + -2840. Let j = 81709/7 + -11717. Let h = 1569/28 + j. Find the common denominator of p and h.
28
Let p = -506579/407814 - 3/12358. Calculate the common denominator of p and 645/(-1188) + -4*(-4)/88.
396
Let a be (1/((-4)/(-88887)))/(18/10). Let o = 12338 - a. Calculate the common denominator of o and -157/84.
84
Let x be ((-237265)/(-40))/7 + (-8)/4. Let k = x + -850. Find the common denominator of -35/148 and k.
296
Let m be (0 + -4)/(22 - 23). What is the common denominator of (-194)/24 - 0/(-1) and ((-26)/m - 2)/(63/42)?
12
Let i = 6587 + -6207. What is the least common multiple of 210 and i?
7980
Let g = -3989/39136 - -10/1223. Let x be (-36)/((20/(-169))/4). Let c = 84591/70 - x. Calculate the common denominator of c and g.
224
Suppose 21*m - 34*m = -28*m + 150. Calculate the least common multiple of m and 316/5*30/4.
2370
Calculate the common denominator of (-2)/5 - 757/(-1630) and -12 - (16767/(-936) + (-41)/(9061/102)).
1304
Suppose -5*d + 3*x + 50 = 0, 63*d - 65*d + 20 = -3*x. Calculate the lowest common multiple of d and 119.
1190
Suppose 2*v = -4*g + 3788, 0*g + 4745 = 5*g + 5*v. Calculate the common denominator of 92/135 and (-4)/(-28) + (-632)/g.
135
Let u = 46 - 22. What is the common denominator of 2/14 + (-373)/112 and ((-1)/3)/(u/188)?
144
Let y be ((-18716)/30)/((-154726)/162 - 5). Let d = y - -2/9721. Calculate the common denominator of d and 75/106.
1060
Find the common denominator of ((-33)/2 - 26/13)/15 and 16/(-9)*(-4 - (-122)/24).
270
Let t(c) be the third derivative of 11*c**5/60 + 7*c**4/12 - c**3/3 + 245*c**2. Calculate the smallest common multiple of 40 and t(2).
280
Let j = 411 + -406. Suppose -5*k - 3*i = -397, -i = j*k + 3 - 392. What is the smallest common multiple of k and 99?
693
Let j = -32 + -20. Let q = -57 - j. Calculate the smallest common multiple of 6 and 16*q*(-9)/60.
12
Let g(a) = 3*a - 57. Let r(x) = -12*x + 230. Let d(t) = 22*g(t) + 6*r(t). What is the smallest common multiple of 69 and d(19)?
276
Let c = 1/29222 - 39537373/204554. Let w = 69747/364 + c. Calculate the common denominator of w and (-259)/(-296)*(-1 - -3).
52
Calculate the common denominator of -109/525 and (4625/625)/(126/(-5)) - (-4)/30.
3150
Suppose -193164 + 69404 = -170*k. What is the least common multiple of 728 and k?
728
Suppose 163 = -2*g + 61. Let x = -38 - g. Let z(d) = 2*d**2 - 32*d + 9. What is the least common multiple of x and z(16)?
117
Suppose -g - 11*t + 274 = -t, g = -5*t + 269. What is the smallest common multiple of g and 36?
792
Suppose -3*u + 375 = -4*o, -3*o + u + 99 = -4*o. Let s = o + 90. Find the common denominator of 52/3 and 3/(-54)*(-801)/s.
12
Let v = -119 + 124. Suppose 3*d + 8 = -v*b + 92, -42 = -2*b + 3*d. Calculate the least common multiple of 88 and b.
792
Suppose -299*f + 1547 = -2041. Calculate the lowest common multiple of f and 1876.
5628
Let a(p) be the first derivative of p**3 - 67*p**2/2 - 46*p + 321. What is the lowest common multiple of a(25) and 112?
1232
Let m be ((-5)/(-3 + 2))/((-3)/3). Calculate the lowest common multiple of 55 and 44 - 18 - (1 + m).
330
Let j = -6443/258 + -25/129. Find the common denominator of 417/396 - 45/27 and j.
132
Calculate the common denominator of (696/(-40))/(81/(-10)) and (4/(-54))/((-4)/118).
27
Let x = 12423/4 + -3128. Let m = 73 + -75. What is the common denominator of x and ((-24)/(-120))/(m/(-91))?
20
Let z be (-6513058)/(-140) + -6*(-2)/90. Let o = z + -46525. Find the common denominator of o and 115/12.
84
Find the common denominator of 1 + (-13 - 99360/(-8283)) and 55/3.
8283
Let g = -1862315/144 - -12932. What is the common denominator of g and -19/36?
144
Let y be (1 - -2 - 1607444/80) + 4. Let j = y - -20092. What is the common denominator of j and -89/104?
520
Let l = 2/10341 - 979/1149. What is the common denominator of l and 59/435?
3915
What is the smallest common multiple of 14 and 60144/15 - (-3 + 128/(-20) - -9)?
28070
Let w be (-48)/18*1125/20. What is the common denominator of -1/15 and 1 - 1/w*-411?
150
Let m(r) = 31*r + 56. Let x be m(-2). Let v = 26/497 + -45995/52682. Find the common denominator of 15/x + 651/(-105) and v.
530
Calculate the common denominator of 23/1572 and 1758/2344 - (-1)/(4/27).
1572
Suppose y = -2*n + 914, 193*y = -4*n + 196*y + 1858. Calculate the lowest common multiple of 138 and n.
1380
Let n be (2 - (1 - 6)) + -481. Calculate the common denominator of (0 - 1)/(22/101) and (-4)/10 - (n/40 + 10).
220
Let h(z) = -z**3 - 10*z**2 - 41*z - 285. What is the smallest common multiple of 583 and h(-9)?
1749
Suppose -d + 2*j = -5*d + 30, 4*d + 4*j = 24. Suppose -d*t + 34 = 5*k - 7*t, -5*t - 2 = -2*k. What is the least common multiple of k and 9?
18
Suppose 0 = 8*f + 32*f + 9*f - 1715. What is the smallest common multiple of 889 and f?
4445
Suppose 7*i - 5*o = 350, -i = o - 308 + 246. Suppose -5*k + 5*z + 205 = 0, -k + 2*z + 36 = -1. Calculate the least common multiple of k and i.
495
Let d be (-3)/(5 - 2405/480). Suppose 4*z + d = -3*t - 2*t, -294 = 5*t + 2*z. What is the common denominator of 10/9 and 26/195 + 173/t?
36
Let f = 3162 - 2780. What is the smallest common multiple of 7 and f?
2674
Let g = -236 + 248. What is the common denominator of (-202)/(-4)*(-6)/g and -9/4?
4
Let k(m) = -70*m - 323. What is the least common multiple of k(-5) and 1512?
1512
What is the common denominator of (12*3/432)/(122/(-236)) and -83/4026?
4026
Let x = 12172334272/573375 - 233522/11. Let l = 1824287/2293500 + x. Find the commo