- -31. Suppose v*z + 643 = -3326. Let x = z - -35716/27. What is the common denominator of -151/30 and x?
270
Calculate the common denominator of ((-3627)/(-5460))/((-54)/45) and (-319)/(-63) - (-8)/36.
56
Let p = -3 - -54. Suppose 582 - 384 = 6*r. Suppose r = 52*f - p*f. What is the least common multiple of 9 and f?
99
Suppose 0 = 7*a - 9*a + 290. Suppose a = 4*m - l, m + 179 = 6*m + l. Let q = m - 33. Calculate the least common multiple of q and 9.
9
Suppose 2*s - 7*s = -250. Suppose -9 - 1 = 5*p, s = n + 5*p. What is the lowest common multiple of 60 and n?
60
Let b = 30949/234 - 1684/13. Suppose -5*c - 4*p - 110 = 0, 2*c = -c + 2*p - 44. What is the common denominator of b and (-164)/(-120)*c/6?
90
Suppose 5*g = 2*l + 154, 3*l + 2185 - 2029 = 5*g. Calculate the lowest common multiple of g and 732.
3660
Suppose 64*d - 2 = 63*d. Let h(a) = 12*a - 2. Let z be h(2). Suppose -z = -3*u + 26. Calculate the smallest common multiple of d and u.
16
Let i(s) = 47*s - 1977. What is the least common multiple of 14 and i(50)?
5222
Calculate the common denominator of 139/150 and ((-6)/(-20))/((-75)/(-35)*-2).
300
What is the common denominator of (-79477)/146850 - 18/33 and 20/171?
8550
Let x be (12/(-10))/(2/881). Let k(l) = l**3 + 34*l**2 + 36*l + 691. Let t be k(-34). Let b = t - x. Calculate the common denominator of b and 11/9.
45
Suppose 3*w - 7682 = -5*n, -324*n + 2*w - 4608 = -327*n. What is the smallest common multiple of 1120 and n?
12320
Let f(y) = y**3 + 73*y**2 + 141*y + 24. What is the least common multiple of 114 and f(-71)?
570
Let m = -2396053/312 - -15359/2. What is the common denominator of m and 103/156?
312
Let u = 20 - 22. Let b = u - -2. Suppose -3*f - 3*k = -21, b = -6*f + 3*f + 4*k + 14. What is the lowest common multiple of 7 and f?
42
Let k = 82146333/320 - 256707. Let f = -2/2589 + 245963/10356. Calculate the common denominator of k and f.
320
Let g be 4/(-14) + 1259/4403. Let t = g - -206931/44030. Find the common denominator of t and 1/4 + (-426)/(-40).
10
Let j = -42243/45982 - 5/554. Let n = -11299/996 - j. What is the common denominator of 396/24*((-3)/5 - (9752/(-3105))/4) and n?
36
Suppose -245*y = -46*y - 4428 - 34377. Calculate the least common multiple of 1200 and y.
15600
Let t(x) be the third derivative of 0*x**4 + 7/60*x**5 + 0*x - 35*x**2 - 1/6*x**3 + 0. What is the lowest common multiple of t(2) and 27?
27
Let r be (9/(-30))/((-12)/(-3052965)). Let w = 76992 + r. Let i = w + -669. Find the common denominator of i and -115/14.
56
Let u = -40 + 241/6. Let r(g) = 329*g**2 + 10*g - 50. Let b be r(4). Let f = b - 115669/22. What is the common denominator of u and f?
66
Let g = -390 - -305. Let q = 5 + -3. Calculate the lowest common multiple of q and (-10)/4*204/g.
6
Let c(s) = 2*s**2 + 15*s + 5. Let z be c(12). Let d = -1474/3 + z. Let g = 19329/4690 + -10/469. Find the common denominator of d and g.
30
Suppose -3 = u - 0, -5*u = 4*t - 24986133. Let y be t/1028846 - (15 - 17). Let r = 2/73489 + y. What is the common denominator of -6/7 and r?
14
Calculate the common denominator of 41/744 and 99/66 - ((-25666)/(-4650) + -3 + -1).
18600
Let p = -73 + 91. What is the common denominator of -1 - -1 - 336/p and -2/15?
15
Let w = 4262/2065 + -159/826. What is the common denominator of -29/170 and w?
1190
Find the common denominator of 81/(-105) + (0 - 0) and ((-9 - 240/(-27))/(-10))/(7/(-434)).
315
Let b(w) = 3*w**2 + w. Suppose 3*q - 3*t - 21 = -3, -4*q + 3*t + 20 = 0. What is the least common multiple of (1/(-3))/((-7)/(-14))*-18 and b(q)?
84
Calculate the smallest common multiple of 234 and (-205)/(-25) + 143/(-65).
234
Let t(o) = 2*o**2 + 13*o - 12. Let f be t(-8). Suppose -112 = -f*n + 5*n. What is the smallest common multiple of 6 and n?
48
Suppose 3*z + 12 = -3*o, -76 = -z - 81. Let i = -201 - -316. What is the least common multiple of (-5 - o)/(2 + i/(-50)) and 20?
20
Suppose 4*z = 2*m - 116, -2*z + 82 = -5*z + 4*m. Calculate the common denominator of (-129*6/54)/((-76)/6) and (z/(-5))/((-16)/22).
76
Suppose -179*r = -174*r + 30. What is the common denominator of 9*1/396*9/r and -91/24?
264
Suppose 17*v = 901 + 390 - 271. What is the lowest common multiple of 40 and v?
120
Let p = 1240 + -504. What is the lowest common multiple of 644 and p?
5152
Let g(o) = 27 - 33 + 24 - 7*o + 51*o. Suppose r = 4*l + 2, -2*r = -0*l + l - 13. Calculate the smallest common multiple of r and g(0).
18
Calculate the common denominator of ((-26)/4355)/(32/12) and -139/2010.
4020
Suppose 35 = p - 2*m, -3*p + 6*p - 115 = m. What is the lowest common multiple of p and 19 - (1/(-2))/(6/(-12))?
234
Let p = 31876 + -5578317/175. Calculate the common denominator of p and -67/325.
2275
Let u be (-40453)/(-182007) + ((-28)/(-36) - 1). Let o = u - -2678083/520020. What is the common denominator of o and 1/80?
80
Let a(h) = 5*h - 8 + 41 + 264*h**2 - 263*h**2. What is the lowest common multiple of 57 and a(-5)?
627
Suppose 3*t + 103 = -5*s, 4*t + 4*s + 0*s = -124. Let h(n) = -12*n**3 + 1. Let v be h(-1). Calculate the smallest common multiple of -1 + 0 - t/v and 17.
17
Calculate the common denominator of 47/14 and 36 - 28 - 54146/6744 - 0.
23604
Let x = -4413 - -4429. Suppose m + 3 = 5*t, m = 2*t + 4 - 1. Let r = -3 + m. Calculate the lowest common multiple of r and x.
16
Suppose 0*u = -i - 3*u - 25, -i - 4*u = 29. Let g(t) = t**3 + 12*t**2 - 15*t + 1. Calculate the smallest common multiple of g(i) and 21.
189
Let k = 448/13 - 13493/364. What is the common denominator of 6*-1 + (-3003)/(-882) and k?
84
Let x = 1351241/180 + -37516/5. Calculate the common denominator of 55/1359 and x.
5436
Let z be 11/(1001/(-8788))*(-70)/(-12). Let h = 59222/105 + z. Find the common denominator of h and 129/140.
140
What is the lowest common multiple of 42 and (15 - 168)*(-18)/27?
714
Let u = 7687/495 + -145/9. Calculate the common denominator of 33138/1694 - (64/4 + 4) and u.
605
Suppose -549 = -q - 3*a, q - 187 - 392 = 3*a. Calculate the smallest common multiple of 94 and q.
564
Let c = 1933/2 + -10612/11. Let o be 153034/(-24) + 3 + 28/(-4). Let g = -6376 - o. What is the common denominator of g and c?
132
Let s = 917 - 579. What is the lowest common multiple of 312 and s?
4056
What is the common denominator of ((-94)/(-16))/(-24 - (-41 - -1) - 15) and (-255)/(-36) + 0/2?
24
Calculate the common denominator of (-4 - 0) + 924/63 and (-2)/(-15)*(-4)/(-6)*70.
9
What is the common denominator of 1125/525 + (-20483)/9660 and -125/828?
4140
Let m(o) = o + 45. Let u be m(0). Let b = 10146 + -10133. Find the common denominator of -56/3 and (b/(-33))/(5/u).
33
Suppose -3*s + 7 - 22 = 0, -3*h + 26 = -s. Suppose -3*d + 21*d = 2304. Calculate the lowest common multiple of d and h.
896
Find the common denominator of 1054/2660 - 28/98 and 107/760.
760
Let i(j) be the third derivative of 7*j**5/60 - 19*j**4/24 - 2*j**3 + j**2 - 7. Calculate the smallest common multiple of 20 and i(5).
340
What is the smallest common multiple of (-4)/18 - 4646992/(-504) and 2?
9220
Suppose 17*m - 19*m = -2*g - 12592, 4*g - 18902 = -3*m. Let a = m - 365219/58. Calculate the common denominator of a and 26/7.
406
Let r = -1928921/15042 - -13860/109. Find the common denominator of r and ((-45)/6)/((-36)/(-7)).
552
Let j = -505/3816 + 9/424. Find the common denominator of 89/318 and j.
954
Suppose -38*x + 44*x = 330. What is the common denominator of ((-6)/20)/((-198)/x) and ((-118)/9)/((-16)/(-6))?
12
Let c = -415134200/59643 - -4265/4418. Let k = -6960 - c. Find the common denominator of 64/33 and k.
594
Let t = 113346016 - 198582197989/1752. Let d = 942577/584 + -1614. Let n = t + d. Calculate the common denominator of n and 53/8.
24
Let k be (8944/(-48))/(2/6). Let y = k + 580. Calculate the least common multiple of 21 and y.
21
Let l = -205 - -154. Let b = l - -79. Suppose 0 = -t + 10*t - 180. Calculate the least common multiple of b and t.
140
Let k(r) = r**2 + 36*r - 128. Let m be k(4). Calculate the least common multiple of 468/96 + 4/m and 29.
145
Suppose 616 = g - 5*o, -7*g + 3*o - 624 = -8*g. What is the common denominator of 28/45 and ((-8349)/g)/((-20)/6)?
90
Let a = 28927 + -24067. Calculate the least common multiple of 30 and a.
4860
Suppose 0 = -2*s + 2, -3*f = s - 5*s - 164. Wha