54. Suppose 6*t - 32 = n*t. Calculate the least common multiple of g(2) and t.
496
Let q = 106693/413155 - 3/8698. Calculate the common denominator of 81/50 and q.
950
Let n = -378829/14022 + 14280914231/3645720. Let t = 28472/65 - n. Let f = -3445 - t. What is the common denominator of f and 83/4?
8
Let v(y) = 179*y**2 - 1 + 6*y - 5*y - 173*y**2. Let p be v(1). Find the common denominator of ((-2)/145)/(p/(-40)) - 1 and 39/2.
174
Find the common denominator of 180/(-8)*((-15)/2628)/5 and -44/365.
2920
Let o be (-252)/594*(9385 + -1). Let k = 3986 + o. Calculate the common denominator of k and 49/13.
143
Let k(c) = -39*c - 15. Let m be 2*(-6)/(-24)*(-2 + -2). Calculate the least common multiple of 15 and k(m).
315
Let l = 62692/13 + -4826. What is the common denominator of 95/236 and l?
3068
Let i = -46222 - -8088916/175. What is the common denominator of i and -57/385?
1925
Suppose a - 3*j - 692 = 0, -a + 2102 = 2*a + 4*j. Find the common denominator of 478/24 - (-3)/12 and a/(-40) - 5*(-5)/125.
12
Let g be (-13 - 1210/(-90)) + 928/18. Calculate the lowest common multiple of 8*21/56*g/3 and 9.
468
Let o(n) = 7*n - 120. Suppose 90 = 4*y + 5*m, -2*y - 2*m = -52 + 8. What is the smallest common multiple of o(y) and 512?
2560
Suppose 6 = -4*n - 14. Let y = -41 + 71. What is the common denominator of (y/(-4))/((-108)/80) and n?
9
What is the least common multiple of (-7)/(-2)*(-1464896)/(-2632) and 40?
19480
Let d(l) = l**3 + 14*l**2 - 31*l + 21. Let z(a) = a**2 - 13*a + 20. Let c be z(9). Calculate the lowest common multiple of 119 and d(c).
595
Suppose 0 = 4*l - 5*l + 4. Calculate the least common multiple of ((-4)/3 + 1)/(267/(-28836)) and l.
36
Let h = 840 + -796. Let j = -8 + h. What is the lowest common multiple of j and 30?
180
Let g be (-5790)/85 - -2 - (-6)/51. Calculate the common denominator of 10/24*(-176)/g and 82/18 - 0 - 1.
9
Suppose 180 = 1382*r - 1370*r. Calculate the lowest common multiple of r and 925.
2775
Let g be ((-2)/(-24))/(2/(-61245)). Let v = g - -2555. Let w = -2187/4 + 1634/3. What is the common denominator of v and w?
24
Let d = 2801/450 + 11/50. Calculate the common denominator of d and 3/(-4) + 1562/(-968).
99
Let x be -5609 + 0/(1 - (-5 - -3)). Let f = x - -50408/9. Let i = 93 - 639/7. Calculate the common denominator of i and f.
63
Let r be (-184)/(-36) - ((-24)/27 - -1). Find the common denominator of 3/252 - r/15 and 17/98.
196
Let b = 50/8537 + 1501123/4609980. What is the common denominator of 7/1380 and b?
12420
Let r(x) = 37*x**2 + 55. Let k be r(-5). Suppose -43*y - k = -57*y. What is the least common multiple of 4 and y?
140
Suppose 6*z + 2*z = 32. Suppose -z*q + 468 = -1144. What is the common denominator of (q/(-26))/(5/(-2)) and -85/2?
10
Suppose 0 = 2*r + 78 + 118. Let b = r - -114. What is the smallest common multiple of 14 and b?
112
Let g(o) = -o**3 - 2*o**2 + 53. Let a be g(0). Find the common denominator of a/(-42) + 12/(-18) and (-5 + 15 - 0)/(56/38).
14
Let w = -10986 - -263573/24. What is the common denominator of w and 97/24?
24
Let q be 3*6/(((-6)/3321)/(-2)). Let l = 35700 - q. Let s = l + -788763/50. What is the common denominator of s and -97/2?
50
Let s be (8/3 + 2)*162/7. Suppose 0 = 9*b + 3*b - s. What is the smallest common multiple of b and 13?
117
Suppose -4*a - 4*d + 1438 = -262, 14 = 7*d. Calculate the least common multiple of a and 564.
1692
Let c = 6626981/98 + -67623. Find the common denominator of 13/66 and c.
3234
Suppose 3*u + 2*g + 2493 = 0, -2*u + u - 4*g - 821 = 0. Let v = 91532/3 + -29663. Let t = v + u. Find the common denominator of 73/48 and t.
48
Suppose -8*x + 204 = -5*x. Calculate the lowest common multiple of (-4 + 3)*-23 - 1 and x*(10/4 + -2).
374
Let l = -17180233/226 + 76019. Calculate the common denominator of l and -11/102.
11526
Suppose -4*o + 22 = 5*b - 6*o, -o - 13 = -3*b. Suppose 33 = b*f + 9. What is the smallest common multiple of ((-16)/7)/(f/(-21)) and 24?
24
Let z be (-3)/(360/(-159404)) - 0. Let x = z - 6766/5. Find the common denominator of x and 1/22.
66
Suppose 4*y + 4*s - 47 = s, -s = 3. Suppose -a + 53 = 5*z, -3*a - a + y = 2*z. Calculate the smallest common multiple of z and 12*((-24)/9 + 3).
44
Let i = -5547 + 10267. Let b = 42428/9 - i. What is the common denominator of -107/650 and b?
5850
Let k(q) = -q**3 - 12*q**2 - 8*q - 21. Let m be k(-12). Let f = m - 71. Calculate the lowest common multiple of 14 and -7*f/6*6/(-14).
14
Let r = -1662 + 76423/46. Let o be 85099/(-882) - 0/3. Let y = o - -842/9. What is the common denominator of r and y?
322
What is the common denominator of (16/224)/(6/1659)*2/(-6) and (-238)/8*(-2)/(-3)?
12
Calculate the smallest common multiple of ((-156)/(-5))/((-33)/2200*-2) and 520.
1040
Suppose h + 94 - 387 = 4*k, -h - 3 = 0. Calculate the common denominator of 47/15 and (-175)/(-210)*k/(-30).
90
Let i = 242449/90 - 13433/5. Calculate the common denominator of 91/1748 and i.
15732
Calculate the smallest common multiple of (-1 + -2 + (9 - -21))/1 + -5 and 56.
616
Let z(h) = -h**2 - 18*h - 28. Let c be z(-11). Suppose 16*p = 9*p + c. Calculate the least common multiple of p and 1.
7
Suppose -39*z + 31*z = -645 + 5. What is the smallest common multiple of 650 and z?
5200
What is the common denominator of -11 + (76/18848)/(76/207302) and 19/16?
9424
Suppose 0 = 4*z + 5*k - 57, 2*z + 4*k = 35 + 1. Suppose 3*j + 43 = 5*r, 0*r + 3*j + 19 = 2*r. What is the lowest common multiple of z and r?
8
Let y be ((-2)/(-16))/(180/(-32928)*-6). Let s = y - 44/45. Let p = 102/329 + -37085/3948. What is the common denominator of s and p?
12
Let s be -2 + 24602/11916 + 0/(-1). Let y = 32670371/327690 + s. Let l = y + -1170/11. Calculate the common denominator of -19/6 and l.
30
Let f(k) = -k**2 + 37*k - 97. Let l(m) = 2*m - 4*m - 5*m - 13 + m**2 - 4*m. Calculate the least common multiple of f(34) and l(13).
65
Let c(y) = 4*y + 103. Let l be c(-27). Find the common denominator of -139/144 and 4 + l + (-2510)/(-1440).
144
Suppose 0 = 7*g - 124 - 268. Let o = -62 + g. What is the common denominator of -17/11 and 171/15*(-5 - -3)/o?
55
Let r = 11161/7 - 1591. Calculate the common denominator of (-247)/276 - 35/140 and r.
483
Suppose -62*j - 31*j + 4704 = -45*j. Calculate the lowest common multiple of j and 392.
392
Let n = -146351/962199 + 26/11879. Find the common denominator of n and -19/8.
4536
Suppose 7 = -2*p + 3, 4*p + 13 = g. Suppose 0 = z - t + 265, -4*z = g*t - 0*t + 1051. Find the common denominator of -3/10 and 4675/z*(-2)/10.
120
Let r be (-10384)/50 - ((-18)/12 + 1). Let p = -419/2 - r. What is the common denominator of p and 4/15?
75
Let a = 144411 - 42601199/295. What is the common denominator of -34/5 and a?
295
Let a be 140/106*5/4. Let w = -1085/1219 + a. Calculate the common denominator of (123/33)/(-1)*395/(-790) and w.
506
Suppose -8508 = -60*s + 54*s. Calculate the smallest common multiple of s and 5.
7090
Let m = -11567 - -11747. What is the smallest common multiple of m and 640?
5760
Let p(s) = -2*s**2 + 74*s - 19. Calculate the smallest common multiple of 11 and p(33).
2695
Let i = -39 + 79. What is the smallest common multiple of (14/(-3) + -13)/(2/(-6)) - -3 and i?
280
Let p = 313 - 153. What is the common denominator of -6*68/p + -3 and (715/91)/(2*2)?
140
Suppose 3 = 2*d - 15. Suppose 6754 - 6830 = -2*k - 4*b, 5*b = -4*k + 104. Calculate the lowest common multiple of k and d.
18
Suppose 3609 - 18169 = -35*b. What is the lowest common multiple of 288 and b?
3744
Let m = 187 - 184. Let t = -233281/16 + 14585. Find the common denominator of (2/(-23 + 15))/(m/220) and t.
48
Let u = 1037 - 1019. Suppose 4*w + w - 4*q = 254, -5*w = -q - 251. Suppose w - 138 = -4*y. Calculate the smallest common multiple of y and u.
198
Let n = 68 + -13. Suppose -4*h = -5*z + 96, z - 4*h = 19 - 3. What is the lowest common multiple of z and n?
220
Let t(g) = 126*g - 732. What is the lowest common multiple of 42 and t(7)?
1050
Suppose -45 = -3*u + 36. Let s = 186955 - 186925. Calculate the lowest common multiple of u and s.
270
Let n = -357 + 361. What is the common denominator of 3/26 and (-102)/(-56)*n + 0?
182
Suppose 4*k + 6*q = 25782, 2*k = 5*q - 3743 + 16578. Calculate the smallest common multiple of 1170 and k.
12870
Let p b