-87 + 176. What is the smallest common multiple of p and 1?
89
Let x = 303 + -1247/4. What is the common denominator of (-2)/(-3) - 988/24 and x?
4
Let q be 297202/(-74301) - (-5 + 1). Let m = 1098009/198136 - q. What is the common denominator of -37/32 and m?
96
Suppose 3*j = -5*z + 66, -67 = -3*j - 4*z - 1. Let s(c) = -57*c - 87. What is the lowest common multiple of j and s(-3)?
924
Let b = 425 + -410. What is the smallest common multiple of 69 and b?
345
What is the common denominator of ((-395)/398 + 1)*(-9447)/423 and -59/4?
796
Suppose 3*d - 6 = c, 0*d + 2*d = -4*c + 46. Suppose c = x - s, 2*x - s = 2*s + 21. What is the lowest common multiple of x and 6?
6
Let r = -1 - -3. Suppose 0 = -4*k - 2 - r. What is the common denominator of (k/12)/(2/(-404)) and -14/3?
6
Suppose 2*z - 4 = -5*t + 5, 5*t + 4*z = 3. Suppose -x - t*x = 32. Find the common denominator of 101/14 and x.
14
Let k = -8/2265 - -82327/9060. Let x be (1 - (-18)/(-10))*-5. Find the common denominator of (-2)/x + (-62)/8 and k.
12
What is the least common multiple of 32 and 60/(-3)*((-14)/2 - -3)?
160
What is the least common multiple of 66 and 146/12 + 76/(-456)?
132
Suppose -3*u + 21 = 3. Let x(k) = -k**2 + 4*k + 4. Suppose -3*r + 8 = -2*r - 4*l, -4 = 4*l. Calculate the lowest common multiple of u and x(r).
12
Suppose -4*y + 4*q = -120, -4*y + 9*y - 134 = q. Let s be 134*(3987/y)/9. Let k = s + -2282. Calculate the common denominator of 1/10 and k.
130
Suppose 3*n + 5500 = -2*n. Find the common denominator of (-1)/(-4) + n/(-120) and -7/6.
12
Suppose 100*n + 2000 = 95*n. Calculate the common denominator of (n/45)/8 - 1 and -64/3.
9
Suppose 0*k = 2*k - 80. Suppose 3*t - k = -t. Suppose 0 = 336*b - 941 - 747 - 1000. What is the least common multiple of t and b?
40
Let i be (53487/1902)/(-7) + 4. Let u = i + 10901/25360. Calculate the common denominator of -67/20 and u.
80
Suppose -3*o + 1718 = o + 2*u, 3*u = 3. Let m = 4269/10 - o. What is the common denominator of 125/24 and m?
120
Let r = 113/42 - -44/63. Let x = 159440593/9214 + -103825/6. Let j = x + -93677/9214. What is the common denominator of j and r?
18
Suppose -5*k = 1 - 21. Suppose -1042 = 5*l - 1047. Calculate the lowest common multiple of l and k.
4
Suppose 5*i - 10 = 4*i. Let w = -35 - -40. What is the smallest common multiple of i and w?
10
Let b be (-143)/(-6) + 12/72. Find the common denominator of 2*(1 + (-26)/b) and -53/58.
174
Let y(z) = z**2 + 3*z + 2. Let h be y(-2). Calculate the smallest common multiple of (3 - 0) + h + 5 and 54/12*(-8)/(-18).
8
Calculate the smallest common multiple of 18 and (3/(-2))/((-170)/(-88) + -2).
198
Calculate the common denominator of (74/(-8) - -8)/((-2)/(-17)) and 10*-22*3/24.
8
Let n = -124 - -188. Suppose 1 = -8*w + 9*w. Calculate the smallest common multiple of 6 and (n/(-12))/(w/(-3)).
48
Let f = -87 + 27. Calculate the lowest common multiple of 20 and ((-12)/(-5))/((-18)/f).
40
Let h = -313/2 + 10423/66. Find the common denominator of h and -43/88.
264
Let w = 3460 - 78741/23. Let m = 1/46 + w. Find the common denominator of 61/20 and m.
20
Let p be 1 + -3 + 8097/(-231). Let r = -351/11 - p. What is the common denominator of r and 61/3?
21
Let o = 40/49 + -3711/4606. What is the common denominator of o and -53/3?
282
What is the least common multiple of (-24 - -4)/(-5) - 1229/(-1) and 6?
2466
Let l(s) be the first derivative of -s**3/3 + 2*s**2 + 6*s - 9. What is the least common multiple of 4 and l(5)?
4
Suppose d + 0*d - 10 = r, -2*d - r = -8. Let z = 15 + d. What is the smallest common multiple of z and 21?
21
Let u(b) = -2*b + 4. Let i be (19 - 16)/((-6)/(-4)). Let x = -2 - i. What is the least common multiple of u(x) and 18?
36
Let n be (-8)/(-41424)*(-2 - (-101055)/6). Let r = -2/863 + n. Find the common denominator of -11/4 and r.
4
Let y be 31/2*(1 - (-3636)/15). Let r = 3780 - y. What is the common denominator of 47/18 and r?
90
Suppose 5*y - v + 885 = 2586, 3*y - 1027 = -v. What is the smallest common multiple of 44 and y?
1364
What is the least common multiple of (-223)/(-3) + (-208)/(-78) and 7?
77
Suppose -34 = 8*j - 9*j - 5*o, -4*o + 16 = 0. Calculate the lowest common multiple of 21 and j.
42
Let d = 69218963/68 - 1017947. Let g be (-814)/(-204) - (-8)/24. Let q = d + g. What is the common denominator of q and 47/8?
8
Let q be (-12)/54 + 25/(-9). Calculate the lowest common multiple of (6 + -1)/1 - q and 5.
40
Let z be 2/(-9) - (-16)/72. Suppose 2*f - f - 558 = z. Find the common denominator of (f/32)/((-6)/4) and 17/58.
232
Let t = -1 - -1. Suppose 2*f = 7*f + 5*v - 30, 3*f + v - 22 = t. What is the lowest common multiple of f and 56?
56
Find the common denominator of -113/28 and (-17 - (-375)/(-10))*(-1)/112.
224
Let h(c) = -c**3 + 10*c**2 + 5*c - 22. Calculate the lowest common multiple of h(10) and 8.
56
Let y = -11 - -15. What is the common denominator of 10/(-30)*(-106)/4*-2 and 1 + (-47)/y + 0?
12
Let s be ((-24)/(-36))/((-4)/(-18)). Suppose 13 = s*n - 68. Calculate the smallest common multiple of n and 21.
189
Suppose 0 = -6*r - 13 + 625. Calculate the lowest common multiple of (0 + 10/(-15))*r/(-4) and 1.
17
Let v be (-261544)/(-564)*1*(-4)/642. Let w = v - -2/5029. Find the common denominator of w and -13/21.
63
Suppose -t + 0*t + f = -14, -5*f + 20 = t. Suppose -9 - t = -2*x. Suppose b - x = -b. What is the least common multiple of 18 and b?
18
Suppose -31*l + 12*l = -760. Calculate the lowest common multiple of l and 548.
5480
Let y = -83276/15 + 5555. Calculate the common denominator of 103/864 and y.
4320
Let p(w) = -w**2 - 7*w + 32. Let i be p(-10). Suppose -f + 76 = 3*n + i*n, 3*f - 4 = -n. Calculate the lowest common multiple of n and 18.
144
Let p be (-2)/7 + (1 - (-74)/14). Suppose 37 = p*f - 47. Let v(c) = -c**2 - c + 4. Calculate the lowest common multiple of v(0) and f.
28
Let g = -54 + 46. Let r(k) = -2*k**3 - 16*k**2 - 3*k - 2. Calculate the least common multiple of 2 and r(g).
22
Let z(w) = w**2 - 29*w + 45. Let t be z(27). Let x(q) = q**2 + 8*q - 8. Calculate the lowest common multiple of x(t) and 3.
3
Suppose -18*g - 9*g = -243. Calculate the common denominator of g and 55/108.
108
Suppose -5*p + 4*b - 1368 = 254, 2*b + 330 = -p. Let a = p - -8788/27. What is the common denominator of a and 35/12?
108
Let f = 5/486 - 3029/486. Find the common denominator of f and -52/9.
9
Let h(k) = k + 2. Let b be h(11). Suppose b = -p - 4*u, 0*p - 2*p + 10 = -4*u. What is the lowest common multiple of 10 and (-5)/((-1)/(-2)*p)?
10
Let z = 384 - 91. Let o = 107 - z. Calculate the common denominator of (-18)/10*o/(-36) and -1/6.
30
Suppose 180 = 4*p - 3*w, 0 = 3*w + 2 + 10. What is the least common multiple of p and 18?
126
Let b = 104203/9576 - 8/1197. Calculate the common denominator of b and 101/38.
152
Calculate the common denominator of -51/88 and (-2469)/(-1848) - 2/14.
88
Calculate the common denominator of (6 - 52506/8745)/((-8)/20) and -49/9.
5247
Calculate the common denominator of -63/8 and 81192/34704 - 7/3.
1928
Let a = -1834 + 20143/11. Calculate the common denominator of a and -1/9.
99
What is the lowest common multiple of 126 and ((-140)/18 - (-24)/(-108))*-3?
504
Let r = -23111/7 + 3307. Find the common denominator of r and 45/829.
5803
Find the common denominator of -20/93 and (-312)/(-40)*(-3)/(243/6).
1395
Let a(h) = -3*h**3 - 5*h**2 + 3*h + 1. Let s(b) = -5*b - 1. Calculate the lowest common multiple of a(-3) and s(-3).
28
Let l = 19 + -25. Find the common denominator of 0 - (72/(-20))/l and 17/2.
10
Let j = -10 + 16. Let i(g) = -g**2 + 22*g + 25. What is the least common multiple of j and i(23)?
6
Let k be (-7)/(175/40)*-15. Suppose 5*q - 36 = -0*q - 2*m, -5*q = -2*m - k. Calculate the least common multiple of q and 12.
12
Let d be 1/(39/18 - 25/15). Suppose 11 = n - 3*b - b, -n + 5*b = -13. Suppose 7*v - 4*v + n = 0, g = d*v + 8. What is the lowest common multiple of 1 and g?
6
Let a be (-115852)/18 - (-14)/63. Let o = -128803/20 - a. Calculate the common denominator of -97/20 and o.
20
Let o = -1961 + 188281/96. Find the common denominator of o and 79/16.
96
Let m = 26 + -21. Suppose m*d + 8*y = 3*y - 5, -2*d - 17 = 5*y. What is the smallest common multiple of d and 3?
12
Suppose 3*j - 5*s - 46 = 0, 0 = -3*j - 3*s