 is the lowest common multiple of g(6) and 243?
972
What is the common denominator of 19/142 and 70/90 - 9/2?
1278
Let w(x) = x**2 + 249*x + 8384. Calculate the least common multiple of 1649 and w(-39).
3298
Suppose 0 = 6*b - b - 10. Let t(w) = 128*w + 1412. What is the least common multiple of b and t(-11)?
4
Let q(d) = 5*d**2 + 25*d + 12. Let s(g) = 4*g**2 + 26*g + 13. Let v(j) = 2*q(j) - 3*s(j). What is the smallest common multiple of 21 and v(-12)?
231
Let m = 2017/7 + -2997325/10402. Let t = 28709/17089 + m. Calculate the common denominator of t and -23/8.
184
Suppose -210 = -5*j + 4*l, j - 4*l = 4*j - 126. Let p = 28 + -9. Suppose -p*s + j = -17*s. What is the smallest common multiple of 3 and s?
21
Let p be (-5 + 10)*2*(-6)/(-15). Suppose -s + 4*o = -9, -o + 12 = -s - p*s. Calculate the smallest common multiple of (35/14 + s)/(1/(-24)) and 18.
36
What is the common denominator of (-8 - (-77270)/(-12800)) + 14 and 37/384?
3840
Let p(v) = -v + 10. Suppose k = -4*m + 64, -4*k - 2*m = -3*m - 324. Let j = 75 - k. What is the smallest common multiple of p(j) and 15?
15
Let l be (-80)/12*(-27)/6. Suppose 0 = l*g - 32*g + 108. What is the common denominator of 201/(-2)*3/g and -89/18?
36
Let l(b) = -4*b**2 + 20*b - 36. Let u be l(9). What is the common denominator of (-102)/(-12)*((-8)/u)/1 and -7/55?
495
Let x be 2/(-6) - (-14)/6. Let w(p) = 12*p + 4. Suppose -14 + 3 = -4*l - y, 4*y = -5*l. What is the smallest common multiple of w(x) and l?
28
Let q = 738 + -7351/10. Find the common denominator of q and (3 + (-86)/28)*3*(-316)/108.
630
Suppose 85*t - 68*t = 136. Find the common denominator of -43/55 and t/2 - 760/125.
275
Calculate the common denominator of 34/147 and 345/(-575)*(-230)/168.
588
Let a(u) = 18*u - 3. Let h be a(-12). Let m = -199 - h. Suppose 90 = -3*t + 6*t. Calculate the lowest common multiple of m and t.
60
Let s = 1/139 - 4883/2502. Let i = -16769/12 + 1390. Find the common denominator of s and i.
36
Let o(s) = 3*s + 5. Suppose v - 5*x = -3*v + 12, -4*v = -x - 12. Let d be o(v). Let u = -6 + d. What is the least common multiple of 4 and u?
8
Suppose 0 = -5*p - 4*o + 84 + 27, -3*p + 3*o = -45. What is the common denominator of -4 - p*30/(-36) and 67/22?
66
What is the common denominator of 34/27 and (92/(-680))/(108/90)?
1836
Let n = -2/561 - -27895/8976. What is the common denominator of n and (-219)/1*((-6)/(-8) + (-1057)/1359)?
48
Let h = -94/917 - -63311/161392. Calculate the common denominator of -71/16 and h.
176
Let s(r) = -r**2 + 412*r + 17107. Let b(g) = -2*g - 1. Calculate the smallest common multiple of s(-38) and b(-1).
7
Suppose 4*m + t + 17 = 0, 8*t = -3*m + 3*t - 34. Let a be 15*(5/6 + m/2). Calculate the common denominator of -12/5 and (-4)/10*a/(-16)*-1.
20
Let d = 70 - 120. Calculate the common denominator of -29/12 and (-28)/(-24)*(-5)/(d/(-16)).
60
Let l(x) = -8*x + 25. Let s be l(29). Calculate the common denominator of -97/14 and -3*s/(-90) + 6/(-2).
70
Let r be (77/14 + -5)*-6 + 5. Suppose 8*d + r*q + 62 = 11*d, -2*d - q = -39. What is the least common multiple of 120 and d?
120
Let o be (-130840)/(-24) - 2/(-6). Let q = o - 43529/8. Find the common denominator of 45/2*33/(-75) and q.
40
Let z be 156/1443*21/(-30). Let j = 1/40181350 + 53003218711/2973419900. Let o = j + z. Find the common denominator of 37/18 and o.
36
Let s be 2/12*(-1466)/10. Let f = 158/5 + s. Calculate the common denominator of f and 47/16.
48
Let i = 207 - 205. Suppose -31 = -5*o - k - i*k, -k + 37 = 5*o. Calculate the lowest common multiple of 42 and o.
168
Let h(l) = -116*l + 552. What is the smallest common multiple of 671 and h(4)?
5368
Let c be ((54/(-8))/(-3))/(42/3472). Let q be (-8)/12 + c/9. Suppose 23*p - q*p - 108 = 0. Calculate the smallest common multiple of 3 and p.
36
Let y = -10 + 18. Suppose -6 = -15*l + 54. Calculate the least common multiple of l and (-5)/((-10)/y) + 10.
28
What is the common denominator of -61/490 and (-72)/(-612) - (-2334)/(-765)?
1470
Suppose -2*m = -s - 11, -15*s + 7 = -m - 12*s. Let p(f) = f**3 - 7*f**2 - 11*f + 28. What is the least common multiple of 396 and p(m)?
396
Let k = -6/32035 - -200507113/256280. Let d = -791 + k. Find the common denominator of d and 19/6.
24
Calculate the smallest common multiple of (-1 + (-3)/(-2))/(0 - (-6)/6588) and 2013.
6039
Let o(c) = c**3 + 6*c**2 + 2*c - 3. Suppose 2*l + 3 = -7. Let r(k) = k**3 + 5*k**2 - 19*k - 15. Calculate the smallest common multiple of o(l) and r(-7).
60
Let f(o) = -131*o + 3311. Calculate the lowest common multiple of 789 and f(25).
9468
Let r = -107 - 601. Let h = r + 83. Find the common denominator of 117/20 and h/(-90) + 8/12.
180
Suppose -1 = g - 13. Let m = -62 - -65. What is the smallest common multiple of (5/(-2) + m)*6 and g?
12
Let z = -7115/1677 + 205/86. Calculate the common denominator of z and -163/4212.
4212
Let d = 440 + -510. Calculate the common denominator of ((-444)/(-126))/(30/d) and 23/63.
63
Suppose 1235 = 4*r - 5*k, 0 = -2*r + 227*k - 231*k + 624. What is the smallest common multiple of 217 and r?
2170
Let c be (-6)/15 - (-12)/5. Suppose 5 = 5*f - 3*v - 11, 2*f + c = -3*v. Let t(y) = 4*y**2 - 3*y + 10. Calculate the least common multiple of t(f) and 10.
20
Let m = 17419/286965 + 35/21864. Calculate the common denominator of m and -47/216.
7560
Let l = 58400 - 29220. Suppose 36*u - 31*u - l = 0. Let j = u + -105085/18. Find the common denominator of 127/12 and j.
36
Let u = -6580227 + 138053744/21. Let t = -6238 - u. Let i = t - 13/7. Calculate the common denominator of i and -7/3.
3
Suppose 5*p = 20*p - 30. Find the common denominator of -38*p/174*(-115)/(-920) and -103/20.
1740
What is the common denominator of -61/56 and (100/(-160))/(1 + (-1509)/(-108))?
4312
Let h = -1640875100/49 - -33486046. Let o = h - -1202. What is the common denominator of 44/7 and o?
49
Let w = 3/61792 + -1343667061/432544. Let o = w + 3112. Let f = -134295/3158 - -40/1579. Calculate the common denominator of o and f.
14
Let c = -4 - -19. What is the smallest common multiple of c and -16 + (-748)/(-22) + 22?
120
Suppose -2*o - 24 = -4*o. Suppose -575*c + 41*c = -39516. Calculate the least common multiple of c and o.
444
Suppose 24 = -0*t + 4*t. Suppose 230*l - 1008 = 202*l. Calculate the lowest common multiple of t and l.
36
Let z = 1720775/68 - 25306. Let g be 17690/(-4) + (-20)/40. Let b = -61963/14 - g. What is the common denominator of b and z?
476
Let r = 681132 - 6137038/9. Let u = 757 + r. Calculate the common denominator of u and 0 + 1 + 178/(-20).
90
Let z = 284985241/90 - 3166445. Let v = z + -499/10. Find the common denominator of v and (122/(-60))/(2/(-6)).
90
Let o(f) = -7*f - 12. Let i = 492 - 436. Calculate the smallest common multiple of i and o(-12).
504
Let h = -100327 + 11738339/117. Let z = -2622512/117 + 22414. Calculate the common denominator of h and z.
117
Let d(p) = -53*p + 58. Let n be d(7). Let l = 320 + n. Calculate the least common multiple of l and 10.
70
Let h(l) = -l**2 - 16*l - 13. Let u be h(-15). Suppose 7 + 5 = u*j. Let k = 4 + j. Calculate the least common multiple of k and 34.
170
Suppose 9*f - 51520 = 3*f - 17*f. What is the least common multiple of f and 560?
2240
Suppose 2*m - 578 = t, -4*t + 5*m = t + 2915. Calculate the lowest common multiple of (-2)/8 + t/(-48) and ((-11)/(-44))/(2/16).
12
Let o(s) = 4*s**2 + 16*s + 36. Let m be o(-7). Suppose m - 960 = -6*f. What is the lowest common multiple of f and 42?
420
Find the common denominator of 14/351 and ((-16)/24)/(2/5*378/35).
2106
Let z(l) = -l - 13. Suppose -5*f + 61 = -3*c, 5*c + f = 6*c + 19. Let v be z(c). What is the lowest common multiple of 8 and ((-68)/8)/(-2 - (-6)/v)?
136
Let z = 6659/11 + -53201/88. Let k = -395/16 + 25. Find the common denominator of z and k.
176
Suppose -88*d - 97 = -977. What is the least common multiple of d and 417?
4170
Let i = 64716/11 + -10485521/1782. Find the common denominator of -65/5859 and i.
35154
Let g = -221277/19 - -11644. Find the common denominator of g and 3/203.
3857
Let w be (4 - (-58)/(-3))/((-4)/6). Calculate the common denominator of 121/18 and (-71)/w*(-8)/160.
4140
Let l = 36 + -29. Suppose 31 = 6*f + l. Suppose w - f = d + 3*w, 0 = -w - 3. What is the lowest common multiple of