 + 112 = -4*w, 9*c - 2*w = 14*c - 204. Calculate the lowest common multiple of f and c.
120
Suppose -t - y = -0*y, 9 = 2*t - y. Suppose -5*s - 80 = -5*m, 12*s = t*m + 10*s - 47. Calculate the smallest common multiple of m and 4.
60
Let i(g) = -g**3 + 5*g**2 + 7*g - 4. Let q be i(6). Let m(v) = 5*v**q - 3*v**2 + 0 + 4 + 8*v - v**2. Calculate the least common multiple of 9 and m(-8).
36
Calculate the common denominator of ((-18)/12)/((-26208)/16640) and 10/66*47/(-5).
231
What is the common denominator of (-2)/(-7) - 61/(-98) and (-918)/(-480)*4 - 2?
980
Let h(o) = 60*o - 158. Calculate the smallest common multiple of h(4) and 492.
492
Let t be 11 - 0 - (-15 + 7). Suppose -4*g - m + 38 = 0, -3*g + 46*m = 42*m - t. Let u = 57 + -30. What is the least common multiple of u and g?
27
Let t be (-256)/(-12)*(3 + 0). Let c be (-2 + 4)/(2/t). Let m = c + -54. What is the least common multiple of m and 41?
410
Suppose 0 = -14*i + 221 - 25. Let w = -98 + i. Find the common denominator of 398/w + 6/9 and 23/158.
1106
Let c be (-28)/(-3)*468/182. What is the common denominator of -71/33 and -2 + ((-24)/1092)/(c/(-238))?
858
Let q = -104665/14 - -7470. Let l = -4715 - -84745/18. Find the common denominator of q and l.
126
Let r = 21521/168 + -918/7. Calculate the common denominator of (5/(-450))/(112/(-12138)) + 4/(-6) and r.
240
Let c be (84/(-18) - -1)/((-2)/12). Suppose -4*m = -19*w + c*w - 3, 4*w - 11 = -3*m. Suppose l - 1 - 8 = 0. What is the least common multiple of l and w?
45
Suppose -5*j + 1340 = -20*j + 82*j. What is the smallest common multiple of 3405 and j?
13620
Let x be (-4)/(-5) - 439471314/2693461660. Let h = x - -1/228647. Calculate the common denominator of h and 9/10.
190
Let y = -23 - -10. Let s = 31 + y. Suppose 0 = 3*a - 5*p - 3, -4*a + 5*p + 8 = -1. What is the least common multiple of a and s?
18
Let o = -449771/18 - -24979. Let a = 2/465 - -22777/1860. What is the common denominator of a and o?
36
Let b(u) = -9*u**2 - 23*u - 2. Let i be b(8). Find the common denominator of 99/10 and 3/(-9) + i/(-153) + -3.
170
Let d = 2/383969 - 73338499/80633490. Calculate the common denominator of d and 183/9 + 0 - 0.
210
Let n(k) = -116*k**2 + 792*k. What is the lowest common multiple of n(6) and 90?
2880
Suppose 268*m - 338*m + 53622 + 9238 = 0. What is the lowest common multiple of 3592 and m?
3592
Let t = -42/20393 + 1480052/25511643. What is the common denominator of -7/1390 and t?
12510
Let g(z) = z**3 - 30*z**2 + 53*z + 88. Let h be g(28). Suppose t = 3*v - 255, h*t - 174 + 18 = -2*v. Calculate the smallest common multiple of 60 and v.
420
Let y = -1481/4 - -229327/620. Calculate the common denominator of y and -27/1240.
1240
Let h(d) = -12*d - 5. Let i = -8038 - -8053. What is the least common multiple of h(-2) and i?
285
Suppose -213*s - 19875 = -238*s. Calculate the least common multiple of 583 and s.
8745
Let m = 14809 - 10552. Let y = -25409/6 + m. Find the common denominator of y and (-1977)/(-1092) + 2/7.
156
Let s(t) = -105*t**2 + 30*t + 6. Let r be s(8). What is the common denominator of 6 - (r/120)/(-13) and 41/40?
40
What is the common denominator of 882/840 + (8/36 - (-76)/(-18)) and -37/900?
900
Suppose -27*q = -13*q - 252. What is the common denominator of -149/48 and 297/120 + 9/q?
240
Let y(c) = 204*c + 21. Let z be y(2). Let g = z + -375. What is the smallest common multiple of g and 27?
54
Suppose 0 = -5*v, 7244 = -2*i + 6*i + 5*v. Suppose 10*y - i = 1389. What is the common denominator of 16 and (y/(-28))/2 - 0?
7
Let o be (-7)/(14/10) - 598 - -4. Let y = -592 - o. Calculate the least common multiple of 206 and y.
1442
Let h(r) = 780*r**2 - 12*r - 3. Let a be h(9). Let u be 2 + 0 + (-126132)/a. Let w = u - -903947/441483. Calculate the common denominator of -67/3 and w.
21
What is the lowest common multiple of 1367 + (-18*25/(-1350))/((-1)/6) and 130?
2730
Calculate the smallest common multiple of 15 - (120/(-15) + -417) and 280.
3080
Let r = -308/57 + 2159/1254. Let v be ((-11)/788)/(45/(-5040)). Let m = -13243/5516 - v. What is the common denominator of m and r?
308
Suppose -4*m = 13*g - 16*g - 50, -3*g = 2*m - 16. Suppose -2*c + 386 = 3*k, -2*k - 2*c + 269 = m. What is the lowest common multiple of 16 and k?
128
Suppose -g - 3*p - 10 = 0, -2*g + 60 = -p + 52. Calculate the smallest common multiple of g and 266.
266
Suppose -28 = -17*d + 10*d. Suppose d*p - 24 = -3*s, -4*s + 5*s = -3*p + 23. What is the least common multiple of 8 and p?
72
Suppose -35*n = -36*n - 20*n + 546. What is the smallest common multiple of n and 4238?
4238
Let t be 2/(-4*(-4)/32). Suppose 2*i + j = -9, t*i - i + 11 = -j. What is the least common multiple of 2 and (-1 + (-23)/i)/((-2)/(-4))?
42
Let y(d) = -4*d - 37. Let m be y(-10). What is the lowest common multiple of 28 and ((-28)/(-24))/(m/90)?
140
Suppose -4*c + r = 36 + 1, 3*c + 31 = 4*r. Let u = -7 + c. What is the common denominator of -119/18 and (36/8 - 4)*(-2)/u?
144
Let r = -1346/9 - -63127/423. Let o = 1011/517 + r. Find the common denominator of 182/(-16) + -2 + 2 and o.
88
Let q = 1073 + -7493/7. Let t(x) = 139*x**3 + 3*x**2 - 3*x + 4. Let w be t(3). Let j = w - 30143/8. Find the common denominator of q and j.
56
Let l(f) = 118*f - 692. Let h = 26 + -16. Calculate the least common multiple of h and l(6).
80
Let o = -19856 - -27873. Let n = 160291/20 - o. What is the common denominator of n and ((-1159)/(-400) - -3) + 65/1625?
80
Suppose -3*m + 6 = -4*m - j, -16 = 4*m + 2*j. Calculate the common denominator of (9016/(-80))/23 + -1 + m and 103/50.
50
Suppose 3*t + t + 5*s = 348, 0 = -5*t - 2*s + 418. Suppose 55*j - 27*j = 12*j + 320. What is the lowest common multiple of j and t?
820
Let s = 29073/26029580 + 59/7523. What is the common denominator of s and -51/1903?
38060
What is the common denominator of -23/1494 and (14/(-14)*46/6)/(19/1)?
28386
Suppose -4*p - 2*f = -p + 39, -36 = 3*p + f. Let q = 1 + p. What is the common denominator of (14/28)/(q/47) and -22/7?
140
Let z = -1564 - -394097/252. Calculate the common denominator of -37/234 and z.
3276
Let s = -8676 - -8952. Calculate the lowest common multiple of s and 132.
3036
Let u(a) = 43*a**2 + 12*a - 97. Let t be u(5). Suppose 19*p - t = 558. What is the smallest common multiple of p and 12?
84
What is the common denominator of (15/80)/((-9657)/1276) and 39/407?
4884
Let x(l) = 0 + 14*l**3 + l + 2 - 5118*l**2 + 5116*l**2. Let q be x(-1). Calculate the least common multiple of -5 - 65/q - (-136)/6 and 4.
44
Let k(z) = z**3 + 3*z**2 - 4*z - 2. Let v be k(-4). What is the lowest common multiple of 28 and (-224)/(-8) - (v + -2)?
224
Let p = 52 + -227. Let d = -157 - p. Calculate the smallest common multiple of d and 20.
180
Let p(t) = -12*t + 416. Let b be p(35). Let u = -47 + -2. Find the common denominator of (b - -1) + u/20 and 9/4.
20
Suppose 3*r = -2*o + 13, -5*r - 115*o + 38 = -114*o. Let t = -198 - -302. Calculate the smallest common multiple of r and t.
936
Let x(f) = 2*f**3 + 40*f**2 + 3*f + 65. Calculate the smallest common multiple of 25 and x(-20).
25
What is the common denominator of 1364/3348*(141/(-74) - -2) and 155/2664?
7992
Let w be (1 - (-1424)/(-12))*(-927)/16. Let g = w + -6823. Find the common denominator of 59/692 and g.
2768
Let z = -3758/1073 - -150/37. Let l = -45 - -63. Calculate the common denominator of ((-1)/(-6))/(4/l) and z.
116
Let x = 1284 + 1266. Calculate the common denominator of (-7)/(-6)*x/3990 and 69/14.
798
Let u = -4456 + -4091. Let d = 85347/10 + u. Calculate the common denominator of d and -30/13.
130
Let t = 1793 + -8928/5. Let n = -5089/5 - -86288/85. What is the common denominator of t and n?
85
Suppose 19*i - 3*i = -4*i + 600. Calculate the lowest common multiple of i and 20.
60
Suppose -4560 - 953 = -106*x + 4027. What is the least common multiple of x and 2448?
12240
Suppose -53*r + 95*r = -98*r + 5460. What is the smallest common multiple of 104 and r?
312
Let x = -8 + 15. Let g = -29 - -26. Calculate the common denominator of 11/12 and ((-2)/x)/(g - 699/(-237)).
84
Let n(i) = i**3 - 2*i**2 - 38*i - 52. Calculate the lowest common multiple of 346 and n(-4).
692
Let j = 184 - -47. Let m = j + -207. Suppose 0 = -v + 4*i + 22, i + 4 = 2*v + 3*i. What is the smallest common multi