ppose 79*g + 3*u + 34 = 81*g, 4*g = -4*u + 48. What is the least common multiple of 468 and g?
3276
Let k = 2/293781 - 14105702/618996567. What is the common denominator of -39/301 and k?
2107
Let r = 2/3269 - -24259241/13076. Suppose 11*n - 12237 - 2397 = 5903. Let c = r - n. What is the common denominator of 16/13 and c?
52
Let i(g) = -3 + 11 - 93*g - 74*g + 2*g**2 + 117*g. Let r be i(25). Suppose 0 = -5*k + a + 74 + r, k = 3*a + 22. Calculate the least common multiple of 38 and k.
304
Suppose -5*y + 3*b + 58 + 67 = 0, 5*y = -b + 125. Let d = y - 5. What is the smallest common multiple of d and 12?
60
Suppose -3*u - 54 = -5*u. Suppose 4*m + 2*j + 50 = 9*m, 0 = 2*m - 5*j + 1. Suppose -70*q = -71*q + m. Calculate the least common multiple of q and u.
108
Find the common denominator of -89/1720 and 106380/51084 - 1/(-6)*-4*3.
18920
Let l = 140 - 148. What is the least common multiple of 10 and (0 - l) + 157 + -2?
1630
Let g be (-987)/56 - (-6)/(-16). What is the common denominator of (-12)/16*(1 + 161/g) and -119/72?
72
Suppose 263*t - 262*t = -6, 143933 = 5*v - 3*t. Calculate the smallest common multiple of 5 and v.
143915
Calculate the common denominator of -85/8 and ((-91)/156)/((-4)/18).
8
Let b(m) = -12*m + 374. Let w(f) = 15*f**2 - 5*f - 14. Calculate the least common multiple of w(-2) and b(23).
392
Let p = 32153/17544 - 30/731. Let r be (48/6 - -14)/((-2)/(-3)). Find the common denominator of (3 + r/(-9))*369/24 and p.
24
Let b = 157 - 122. Suppose -37*z = -b*z + 30. Find the common denominator of 69/10 and 295/z + (-3)/6.
30
Let x be 4/80*95 + (-2)/(-8). Suppose -3*d + x*d - 171 = 3*k, 4*d - 2*k - 338 = 0. Suppose 2*j - 14 + 2 = 0. Calculate the lowest common multiple of j and d.
84
Let b = -210 + 210. Suppose 3*w - 40 - 26 = b. Let y = 31 + -1. What is the smallest common multiple of w and y?
330
Let k = 11 + -7. Suppose k*l + 10 = 54. What is the smallest common multiple of l and (15 + -16)/((-1)/5)?
55
Suppose n - 6 = -5*h - 1, -2*h + 24 = -4*n. Suppose g - 67 = 2*k - 7*k, -4*k + h*g + 48 = 0. What is the smallest common multiple of 36/54*-6 - -15 and k?
143
What is the lowest common multiple of 5 and (18 + -15 - (-346 - 4))*4/1?
7060
Suppose 8*y + 3533 = 112*y - 7179. Calculate the smallest common multiple of 15 and y.
1545
Let u = -24146 + 24596. What is the least common multiple of u and 450?
450
Suppose 516 = 4*i + 112. Let f(a) = -37*a + 818. What is the smallest common multiple of f(22) and i?
404
Suppose 0*q - 10*q + 20 = 0. Suppose 12 = q*j - 0*j. Suppose -4*l = -3*l - j. Calculate the least common multiple of 35 and l.
210
Suppose -4*u = 5*v + 1068 + 758, -v - 364 = 2*u. Let z = 2251/6 + v. Calculate the common denominator of -50/27 and z.
54
Let j(x) = -x**3 - 9*x**2 - 10*x - 11. Let r be (-1011)/(-18) - (-6)/(-36). Suppose 4*c = -3*c - r. Calculate the least common multiple of 2 and j(c).
10
Let x(y) = -y**3 + y + 525. Let b be x(0). Suppose b = 23*o - 28*o. Calculate the common denominator of 55/2 and 3*(-10)/o - 199/84.
12
Suppose 9*f = 582 + 201. What is the least common multiple of (3/9)/(1 - 86/f) and 9?
261
Let g = 5715 - 5364. Calculate the least common multiple of 297 and g.
3861
Let x(u) = -2*u - 6. Let y be (-3)/2*(-24)/(-9). Let z be x(y). Calculate the smallest common multiple of (-3)/z - 284/(-8) and 20.
340
Suppose -449 = m + 28. Let s = m + 479. Calculate the smallest common multiple of s and 4/((1/(-1))/(-1)).
4
Let v = 13945326/67 - 2144434769/12462. Let z = v + -36062. What is the common denominator of 2 + 191/20 - (-1)/(-4) and z?
930
Suppose q + 5 = -40. Let x = 5 - q. Calculate the smallest common multiple of 40 and x.
200
Suppose 23*m - 151 - 125 = 0. What is the least common multiple of m and 20?
60
Suppose 0 = -6*z + 2*z + 200. Calculate the least common multiple of (36/(-14))/((2/14)/((-120)/90)) and z.
600
Let u = -1948 - -7797/4. What is the common denominator of -23/16 and u?
16
Let x = -2471335/138 - -17908. Find the common denominator of 2/14 - (283640/(-9408) - -32) and x.
552
Suppose -t - 47 = -l, 4*l + 3*t - 182 = 5*t. Calculate the lowest common multiple of l and (-42)/(-10) - 12/60.
44
Suppose 3*a + 30 = 4*k, a = 2*k + 4*a - 6. Let p = 207 - 135. Suppose -17*g + 13*g = -p. What is the smallest common multiple of k and g?
18
Let m = -4/1459 + -155825/105048. Calculate the common denominator of m and -4/43.
3096
Suppose t + 3 = -c, 0*c - 2*t = -5*c - 15. What is the common denominator of -6 - (c - (-1936)/(-540)) and -22/15?
135
Let b be 6/(-4)*(118 - 0). Let d = b - -341/2. What is the common denominator of d and ((-24)/(-5) - -1)/(1008/210)?
24
What is the least common multiple of 2 and 702/24*((-112)/(-42))/(2/26)?
1014
Let z = -32057/420 + 1606/21. Let p be (-3517 + 3)*26/80. Let w = p - -1137. Find the common denominator of z and w.
20
Let u be ((-9)/(-14) + -1)*2160/(-2100). Let k = 4021/392 + u. Calculate the common denominator of -99/20 and k.
40
What is the common denominator of 9/4 and ((-324)/14310)/((-104)/20)*(-18 - 0)?
2756
Suppose 3*f = -2*b + 11, 2*b + 3*b = f - 15. Let n(w) = 71*w + 7. Let m be n(b). Calculate the common denominator of m/(-20) + -6 - (-86)/(-312) and 49/4.
156
What is the smallest common multiple of 16 and (-5)/20 + (4 + -73232)*(-18)/96?
109840
Let k = -713 - -705. Let w(r) = 8*r**2 - 44*r - 316. Calculate the smallest common multiple of 11 and w(k).
6028
Let w = 1147/12 - 433/4. What is the common denominator of w and -37?
3
Let s(b) = -3*b**3 + b**2 - 7*b - 10. Let y(u) = -16*u + 14. What is the lowest common multiple of s(-4) and y(0)?
1582
Let m = -7042 + 7159. What is the smallest common multiple of m and 27?
351
Let y(l) = -l**3 + 34*l**2 + 27*l + 316. What is the least common multiple of 6*(-3 - (-90)/6) and y(35)?
72
Suppose z - 5*z + 24 = 0. Suppose 0 = 12*b - 17*b + 195. Let g = b + -28. Calculate the smallest common multiple of z and g.
66
Suppose 56 = -4*u - 188. Let c = u - -38. Find the common denominator of c/(-15)*(-15)/(-6) and -56/33.
66
Find the common denominator of (-3)/5 + (-4)/8*203/10 and 37/82.
164
Let h = 5392 - 5389. Calculate the lowest common multiple of h and 348.
348
Suppose 228*d - 227*d = 92. Suppose 0 = -h + 24*h - d. Calculate the smallest common multiple of h and 4.
4
Suppose 0 = -119*r + 36814 + 21693 + 26459. Calculate the smallest common multiple of r and 476.
1428
Let q(t) = -20*t - 5. Let n be q(2). Let j = n - -48. Calculate the common denominator of -119/20 and 67/(-34) + 1 + (j - 2).
340
Let p = -380 - -382. What is the common denominator of 782/(-840) - p/(-15) and -9/28?
84
Let s = 15949 + -11476. What is the lowest common multiple of 51 and s?
76041
Let z = 11851/3256 + -1/296. Suppose 22 = 2*l + 4*b, -b - b + 8 = 0. Calculate the common denominator of z and (-39)/(-15) - 0/l.
55
Let l = 305/8 + -467/24. Calculate the common denominator of -16 + 143/110 - -4 and l.
30
Let z(s) = -8*s - 2. Let f be z(-1). Suppose -f*h - 9 = -9*h. Suppose -5*a = h*m - 110, 3*m + a - 98 = -a. Calculate the smallest common multiple of 3 and m.
30
Let w = -285 + 294. What is the least common multiple of 378 and w?
378
Let m be ((-3 - -63) + -2)*(-2 + 0). Let z = 129 + m. Let y = 2 - 0. Calculate the smallest common multiple of y and z.
26
Let i = 4/1053 - 2077/269568. Find the common denominator of i and 61/352.
2816
Let j be ((-85)/45 - 3)/(4/(-18)). Suppose 3*a + 4*m = -m + 52, -a - 4*m + j = 0. What is the least common multiple of a and 4?
28
Suppose 0 = 17*o - 31*o - 4116. Let j = -272 - o. Suppose 184 = -0*x + 4*x. What is the lowest common multiple of x and j?
506
Find the common denominator of (-10)/((-76)/(-9) + 20) and 29/96.
384
Let z(t) = -t**3 - 16*t**2 - 15*t + 3. Let w be z(-15). What is the common denominator of (-4)/(44/(-79)) - 3 and ((-9)/198)/(w/186)?
11
Let f = -11355 + 6071. Calculate the smallest common multiple of 22 and 3/(-36) - f/48.
110
Suppose -3*c + v + 2102 = 0, -c - 228 = -3*v - 950. Calculate the smallest common multiple of 9 and c.
6282
Suppose -34*n + 16*n + 10602 = 0. Calculate the lowest common multiple of n and 19.
589
Let s(g) = 3*g**3 - 2*g**2 + 3. Let q be s(2). Suppose 168 = 23*z - q*z. What is the smallest common multiple of 185/7 + 24/z and 9?
27
Let w = -595128333175/138 - -43126179