 g be 6 - (-2 + 10/a). Suppose 0 = -g*w - 32 + 98. Calculate the lowest common multiple of 2 and w.
22
Let q be -4 - (3 + -11 + 4). Suppose -l = -q*l + 54. What is the lowest common multiple of 4/(-18) - 1200/l and 18?
198
Suppose -y + 5 = -3. Suppose -5*a - f = 113, -5*f = -a - 5 - 2. Let b = a + 31. What is the least common multiple of b and y?
72
Suppose -3*b - 270 = 7*b. Calculate the common denominator of 87/284 and 882/(-48)*6/b.
852
Suppose 24*x + 240 = -6*x. Let b(m) be the first derivative of -m**4/4 - 10*m**3/3 - 9*m**2 - 12*m + 1. Calculate the smallest common multiple of 9 and b(x).
36
Let c = 510/71 + -15459/284. Let j = c - -407/12. Let i = -3/436 + -6949/3924. What is the common denominator of j and i?
9
Find the common denominator of 89/14 and -2 + 1970/8*(-20)/(-1150).
322
Suppose 4*f + 37*j - 41*j - 3604 = 0, -3601 = -4*f + 5*j. Let a = -829 + f. What is the least common multiple of a and 5?
75
Let p = -17922157/182 - -98473. What is the common denominator of -89/238 and p?
3094
Let w be 111/9 + 8/120. Let y = w + -661/90. What is the common denominator of y and 41/32?
288
Let l(p) = -14*p - 40. What is the lowest common multiple of (-6)/(6*(-2)/4) and l(-10)?
100
Suppose -s + 14 = 4*i, 4*s + 6*i = i + 45. Let o = 165958 + -165913. Calculate the lowest common multiple of s and o.
90
Find the common denominator of -20/2107 and ((-1065)/(-45))/(344/3).
16856
Suppose -2*l - 390 = 2*j, 1296 - 366 = -5*l + 4*j. What is the common denominator of (9087/(-2330))/(18/15) and ((-9)/60)/(4/l)?
8
Let h = 476 - 401. Suppose -149 - h = -16*z. What is the common denominator of (36 - -1)/(4 + 0) and z?
4
Suppose x + 2*z - 98 = 0, -192 = -2*x - 3*z - 0*z. Calculate the smallest common multiple of 5 and x.
90
Find the common denominator of -47/468 and (-3 - 71)*6/36.
468
Let v = 28062 + -2413407/86. What is the common denominator of 34/3 and v?
258
Calculate the common denominator of (-22)/16*(-48)/36 and ((-1210)/420)/(2 - 4).
84
Let i = -323 - -325. Suppose p - 127 = -i*n, -4*p = n + n - 496. Calculate the lowest common multiple of p and 12.
492
Suppose 3*j - 252 = 3*v, -v - 333 = 3*v - 5*j. Let g be v/27 + 4/18. Find the common denominator of -15/7 and 13/g*33/22.
14
Let l(s) = -434*s - 1646. Calculate the smallest common multiple of l(-4) and 1230.
3690
Calculate the smallest common multiple of 24 and 13/(-520)*8 - 2482/(-10).
744
Let u = -46/43 + 13921/10320. Let k = -10115/638 + 353/29. Calculate the common denominator of k and u.
2640
What is the lowest common multiple of (-7 - -10)/((-12)/(-20)) and 142?
710
Let s = -19322 + 850131/44. Let x = 23 + -22. Find the common denominator of s and (-148)/112 - 1 - (x + 0).
308
Suppose -17*x - 3190 = -20258. Find the common denominator of 3/(-720)*x - (-3)/5 and 71/2.
12
Suppose 2*p + 5*m = -9, p + 27 = 5*p - 5*m. Suppose -p*c - 4 = -25. Let d = -7 + 19. Calculate the least common multiple of c and d.
84
Let v = 111 + -107. Let d(o) = -6 + v*o + 7 + o**2 + 2. What is the lowest common multiple of 8 and d(-5)?
8
Let v = 27 + -47. Let h = 46 + v. Suppose 0 = 2*f - 2*o - h, 2*f + 3*o - 4*o - 25 = 0. What is the least common multiple of 2 and f?
12
Let x be 33/4 - 7 - (-18)/(-8). Calculate the least common multiple of (0 - 1)*3*-9 and -74*(-7)/35 - x/5.
135
Calculate the common denominator of 65/996 and 3/(-1743)*(12 - 254/12).
6972
Calculate the common denominator of -1 + -20 + (-1131242)/(-53760) and 27/28.
26880
Suppose -y - 5*k = -17, 39 = y + 2*y + 3*k. Suppose -10*w = -y*w - 6. What is the common denominator of ((-18)/(-4))/w - (0 + -1) and 49/5?
10
Let w = 679 + -7. What is the least common multiple of 12 and w?
672
Let o = 127/208 + -135/104. Calculate the common denominator of o and -167/2790.
22320
What is the least common multiple of (-1216)/(-10)*(260/40 + -4) and 152?
304
Let m = 2/6803 - 265337/68030. Let u be 1/7 + (-273)/(-88445)*-47. Let a = u - 203917/21660. Calculate the common denominator of m and a.
60
Let v = -343811/54 - -6365. What is the common denominator of v and -79/207?
1242
Suppose 0 = -9*h + 30029 - 28967. Let n = 3 + 9. What is the least common multiple of h and n?
708
Suppose -2*s + 3*s - 24 = 0. Let m(r) = r**3 + 23*r**2 + 14*r + 334. What is the smallest common multiple of m(-23) and s?
24
Suppose -7*v + 12*v = 25. Suppose 4*p - 208 = -5*o, v*o - 10 = -p + 207. Calculate the least common multiple of o and 1.
44
Let j(g) = -7*g**2 + 66*g - 19. Let l(b) = -18*b + 225. Let f be l(12). Calculate the lowest common multiple of j(f) and 108.
216
Let s = 24 - 14. Let m(w) = w**3 - 12*w**2 + 13*w. Let o be m(s). Find the common denominator of 52/15 and (56/o)/((-18)/65).
45
Suppose 4*k + v = 8 + 3, -5*k + 4*v = -19. Suppose 35 = 2*s + k*s. Calculate the smallest common multiple of s and (45/(-18))/(((-9)/6 + 3)/(-6)).
70
Let p = 2372 - 2351. Calculate the lowest common multiple of 1398 and p.
9786
Suppose -4*n - 19*t + 20*t - 1435 = 0, -370 = n + 2*t. Let w = 364 + n. Suppose 5*f + 10 = 145. What is the smallest common multiple of f and w?
108
Let s = 345 + -342. Calculate the common denominator of -4 + -74*(-5)/(-20) + s and (3 - 2) + (-37)/(-20).
20
Suppose 2*m = -13*d + 280, 15 = -4*m - m. Calculate the lowest common multiple of 3296 and d.
36256
Let r = -2362/251 + 2413391/254514. Calculate the common denominator of r and 55/507.
1014
Let d(c) = 268*c**2 - 201*c + 401. What is the least common multiple of 13 and d(2)?
13923
Let t(g) = 77*g + 49. Let o be t(-4). Calculate the common denominator of (44/28 - 1)*o/(-90) and 121/36.
180
What is the common denominator of 24717/2156*4/6*(-21)/(-4824) and -47/5360?
16080
Suppose 0 = -3*b - 3, 13*k - 10*k - 31 = -5*b. Suppose -32 = -5*n - 5*v + 13, -3*n + k = -2*v. What is the smallest common multiple of 3 and n?
6
Let k be 2/(-9) + 14390/(-630)*-4. Let v = 20521/224 - k. Calculate the common denominator of 79/12 and v.
96
Let f = 848 - 410. Let q = 901 - 890. Calculate the smallest common multiple of f and q.
4818
Calculate the lowest common multiple of 1794 and ((-106)/212)/((-3)/234).
1794
Suppose 161*z - 165*z = -3*k - 31, -2*z + 11 = -3*k. What is the lowest common multiple of 40 and z?
40
What is the lowest common multiple of 2/(2330/(-1700) - (-35)/25) and 170?
340
Suppose -8*u - 512 = -2984. Let g = u + -293. What is the lowest common multiple of g and 8?
16
Let s = -113655 + 17048173/150. Find the common denominator of (565/(-25))/(36/(-10)) and s.
450
Let j = -304781/84 + 3628. Calculate the common denominator of j and -127/156.
1092
Calculate the lowest common multiple of ((-9)/18*(-224)/10)/(76/1900) and 448.
2240
Let z = -267 - -271. Suppose 7*s - 3*s - 86 = -c, 4*c + 76 = z*s. Calculate the least common multiple of s and 30.
210
Suppose w + 2*x + 2*x = 3, -2*x = -4*w + 30. Suppose k = -2*b, w*k - 8*k = 5*b + 6. Suppose 8*y - 4*y = k. Calculate the least common multiple of y and 32.
32
Suppose 0 = -17*d - 1625 - 211. Calculate the common denominator of (-1 - (-74)/(-57)) + 1 and 9/d*(-1 + 265/3).
342
Suppose -4*c = i - 412, -5*i - 149*c + 148*c + 1984 = 0. Calculate the smallest common multiple of i and 252.
2772
What is the smallest common multiple of (-10 + (-310)/(-60))*-210 and 45?
9135
Let j(m) = m**2 + 7*m - 34. Let n(o) = -20*o + 47. Let c be n(2). Calculate the lowest common multiple of j(c) and 4.
64
Suppose 21*n = 12*n + 53631. Let s = n + -59467/10. Calculate the common denominator of ((-2)/264)/(2/164) and s.
330
Let u = 1088833/66 + -16498. Let t be 9*(5 + -12 + 10/2). Calculate the common denominator of u and -30 + 32 - 20/t.
198
Let x = -44207 - -4376384/99. Let m = x - -6/11. Let r = 559/2 + -1651/6. Calculate the common denominator of r and m.
9
Suppose -170817 = -2*s + 5*b, -s - 3*b = s - 170825. Let p = s + -4612331/54. Calculate the common denominator of (3/324*-3)/((-1)/393) and p.
108
Suppose -59*y + 1771 = -48*y. What is the common denominator of 23/y*(-13)/10 and -13/40?
280
Let r(q) = 114*q**2 - 7*q + 3. Let k be r(6). Let u be (76/(-16))/(14/(-11988)). Let x = u - k. What is the common denominator of -91/48 and x?
336
Let c be (-5)/(-20) - (-631762)/65928. Let a = c + 2/2747. What is the common denominator of a and -67/238?
714
Let n = 26 + -24. Let g(s) = 5*s + 6 - 5*s**2 + 9*s**2 - 