the common denominator of 1*74/40*1 and (-977)/1116 - ((-392)/63 + 6).
620
Suppose 4*u - 5*z + 35 = 0, u + 8 = 2*z - 3. What is the common denominator of 38*(u - (-1925)/392) and -97/36?
252
Calculate the common denominator of -6 + ((-47460)/(-2970) - (11 - 1)) and (-116)/264 - (3 + -4).
198
Suppose -4*g - 2*f + 4876 = -3750, g - 2157 = -f. What is the smallest common multiple of 32 and g?
17248
Let d(j) = j**3 + 21*j**2 - 10*j + 1058. Calculate the lowest common multiple of d(-23) and 161.
1610
Let n = -86 - -92. Calculate the smallest common multiple of n and 286.
858
Suppose 105*x = 394 + 341. Calculate the lowest common multiple of x and 155.
1085
Let l = -53 + 50. What is the common denominator of 35/22 and l/865*500/(-40)?
3806
Let r = -407825 + 211253235/518. Calculate the common denominator of -73/444 and r.
3108
Suppose -2 = 2*x + y + 141, -3*x = -4*y + 198. What is the smallest common multiple of 2522/(-970)*(x/2)/1 and 3?
273
Let i(w) = -52*w - 38 - 26 + 61*w. Calculate the smallest common multiple of i(12) and 28.
308
What is the smallest common multiple of 480 and ((-28)/(-4))/7 - 5/(15/(-789))?
5280
Suppose 7*l - 36 = 4*l. Let b = -442 + 464. Suppose 5*v + 5*c = 60, -3*v - 3*c + b = -v. Calculate the least common multiple of l and v.
84
Calculate the common denominator of (-1595)/(-777) - (10 - (3 + 5)) and -2/15.
3885
Let s(j) = -j**3 + 9*j**2 + 14*j - 8. Let d(k) = 79*k + 9. Let x be d(1). Calculate the least common multiple of s(10) and (-3)/(-1*6/x).
352
Suppose 41 = 3*r - 58. Suppose -2*d + 285 = -f + d, 5*f + 1373 = 2*d. Calculate the lowest common multiple of r and -3*(-14)/f + (-550)/(-26).
231
Let v = -392/3 + 3325/24. Let c = -1029/8 + 4983/40. What is the common denominator of c and v?
40
Let p(l) = 9*l**2 - l. Suppose 0 = 16*v - 21*v + 95. Let g = v + -14. Calculate the smallest common multiple of p(1) and g.
40
Let i be 4/34 + 51642/323. Calculate the common denominator of -11/882 and (-66)/220 + 258/i.
7056
Let n(u) be the third derivative of u**5/60 + u**4/3 - 5*u**3 - 32*u**2. Let x be n(-11). What is the least common multiple of 27 and 44 + -16 + -1*x + -1?
216
Let p(k) = k**3 + 12*k**2 - 15*k + 12. Let y = 11 + -11. Suppose 4*m + 52 + 0 = y. Calculate the smallest common multiple of 4 and p(m).
76
Let m(a) = -a**3 - 4*a**2 + 2*a + 10. Let t be m(-7). Let l = 153 - t. What is the least common multiple of l and 13?
130
Let k be (-5)/(0 + ((-1732)/3014 - (-24)/44)). Suppose 5*p + 10 = 0, 5*b = 2*p + 443 + 501. Let m = b - k. Find the common denominator of -49/2 and m.
4
Suppose c - 5*c + 88 = 0. Let t be 1/(((-312)/(-15))/4 + -5). Suppose -3*x = t*l - 91, -x - 100 = -4*x + 4*l. Calculate the lowest common multiple of c and x.
352
Let d = -1856 + 1860. Let t(b) = b**3 + 9*b**2 - 12*b - 8. Let x be t(-10). Calculate the smallest common multiple of d and (2/1 - 0) + x.
28
Let w(x) = 69*x**2 + x - 1. Let j be w(1). Let o = j + -64. What is the common denominator of (-72)/(-1215) + (-4)/o and 145/12?
108
Suppose -3*c + 340 = -2*u, -2*c = 3*u - 230 + 12. What is the lowest common multiple of 648 and c?
9072
Let w(n) = -n - 1. Let b be w(-3). Let u(l) = -l**2 - 41*l + 6555. What is the lowest common multiple of u(-104) and (b + -3)/((-2)/4)?
6
Let o = -28 + 27. Let c = -3 + o. Let f = 12 + c. Calculate the lowest common multiple of 8 and f.
8
Suppose -m = -0*k + 2*k + 163, -5*k - m - 403 = 0. Let j(d) = -d**3 + 3*d**2 - 1. Let u be j(2). Find the common denominator of 35/4 and (294/k)/(u/(-4)).
20
Let m(z) = 3*z**2 + 220*z + 498. What is the lowest common multiple of 90 and m(-72)?
630
Calculate the lowest common multiple of 2094 and (32/30*12/(-16))/((-60)/600).
8376
Suppose -4*c = -4*j - 28, 10 = -2*j + c + 3*c. Calculate the common denominator of 65/2 and (-165)/j*2/40.
12
Suppose 3*k = 3*n - 435 + 321, 4*n - 5*k = 157. Calculate the least common multiple of n and 15.
165
Let r(h) = h**3 - 25*h**2 - 50*h + 408. What is the smallest common multiple of r(31) and 816?
13872
Let h be 2*(-1 - -2) - (2 + -35). Let u be -5*((-49)/h + (1 - 0)). Suppose 6 = 5*r + q, 5*r - q + 4*q = -u. Calculate the least common multiple of 10 and r.
10
Suppose -4*t = 9*c - 8533, 8*c - t - 4718 = 3*c. Calculate the smallest common multiple of c and 175.
4725
Let z = -211 + 223. Suppose 11 = 4*x - 1. Suppose 0*o + 262 = x*o - f, -266 = -3*o - f. What is the least common multiple of o and z?
264
Let m = -1044391/10 - -104431. Let o = -164057/7 - -23825. Let u = -390 + o. What is the common denominator of u and m?
70
Suppose -w - 2*q = -9698, 5*w - 48442 = -7*q + 3*q. Calculate the least common multiple of 3 and w.
29046
Suppose -2 - 35 = -2*q + 3*v, 0 = q - 2*v - 20. What is the common denominator of (-569)/63 - (-344)/301 and q/(-8) + 1/2?
36
Let p = 62 - 59. Suppose -3 - p = 6*f. Find the common denominator of (f + 8/(-3))/(120/(-36)) and 97/22.
110
Suppose 1357 = 5*h - 2*n + 136, -3*n = -h + 252. What is the lowest common multiple of 540 and h?
4860
Suppose -3*g + 4*q + 241 = 0, -22*g + 21*g - 2*q = -67. What is the smallest common multiple of 23 and g?
1725
Let g(s) = -304*s - 748. What is the least common multiple of g(-4) and 468?
468
What is the common denominator of 93/22 and ((-18)/(-29385))/(80/3950)?
28732
Let s = -454200 - -10087327802/22209. Let r = s - -214627/666270. Calculate the common denominator of r and 19/24.
360
Let l be 6/(-12) - (-1105)/2. Suppose 42*x - l = 19*x. What is the lowest common multiple of x and 18?
72
Let f = 2823 - 2613. Calculate the lowest common multiple of f and 28.
420
Let o be ((-70676)/(-2))/(-22 + 24). Let k = o + -388635/22. Let r = 2/42009 - 5083129/840180. Find the common denominator of r and k.
220
Let l = 217 + -318. Let x = l + 105. What is the smallest common multiple of 6 and x?
12
Let y = 7702 + -677797/88. What is the common denominator of 57/154 and y?
616
Let w = 53366020729/19821 - 2692398. What is the common denominator of 149/24 and w?
158568
Let z(s) = 75*s + 4. Let l be z(1). Let v = l - 94. Calculate the common denominator of 0 + v/20 - 7 and 109/24.
24
Let p(r) = 3*r - 6. Let l be (-23)/(-4)*3/((-12)/16). Let c be p(l). Let o = -72 - c. What is the smallest common multiple of 9 and o?
9
Suppose 2*p = 51 + 21. What is the smallest common multiple of p and 2350/141*(-150)/(-26) + 20/(-130)?
288
Suppose 32 = -151*s + 147*s. What is the lowest common multiple of 70 and ((0 - -8) + 0)*s/(-4)?
560
Let z(q) = 10*q**3 - q - 1. Let n be z(-1). Let a = n - -20. Suppose 4*m + 8*i - 28 = 0, 3*m - 7*m = -5*i - 28. What is the smallest common multiple of a and m?
70
Calculate the common denominator of -49/50 and 42/3836*673 - 14/2.
6850
Find the common denominator of 41/240 and -17 + -1 + 88095/5040.
240
Let f be 2/(-7) + 46345/(-56). Let p = f - -826. Let l = 3191/957 - 161/174. Find the common denominator of l and p.
88
Let u(s) = s**3 - 51*s**2 - 15*s + 1765. What is the smallest common multiple of u(51) and 380?
19000
Suppose 343 = 3*p - 1304. Suppose 0 = 26*y - p - 179. Calculate the lowest common multiple of y and 32.
224
Suppose -65*n + 16112 = 33*n + 8*n. Let r(a) = a**3 - 3*a**2 - 6*a - 2. Calculate the lowest common multiple of r(5) and n.
1368
Suppose 6006 = g + 5*a, 4*a + 4255 = g - 1742. Let z = -119977/20 + g. Calculate the common denominator of -97/48 and z.
240
Let r be ((-45)/(-135))/((-2)/(-12)). Calculate the common denominator of 9/10 and (3 - r/2) + 61/(-6).
30
Suppose 0 = -10*m + 32*m + 2662. Calculate the common denominator of -133/18 and (-73)/18 - (1 - m/(-99)).
18
Let i = -87 + 27. Calculate the common denominator of (-58)/(-6)*(-9)/i and 119/24.
120
Let g = -210 + 208. What is the lowest common multiple of (0 + 30)/((-6)/(-4)) and 6*18/9 - 4/g?
140
What is the smallest common multiple of (58540/(-70))/((-4)/56) and 8?
23416
Let o be (-191951)/(-367952) - (-1)/6. Let s = 2/2379 - o. What is the common denominator of -27/40 and s?
80
Let m = -15176 + 849813/56. Find the common denominator of m and -77/312.
2184
Let w be (-73119)/6 + 3 + (-7)/2. Let d = 402112/33 + w. Calculate the common denominator of -67/6 and d.
66
Let g = 13199/10 - 1322. Let p = 346773/122 - 2843. Find the common denominator of p and g.
610
Suppose 257 + 623 = 5*j. Suppose -20*f = -4*f - j. What