
240
Let w(x) = -x**3 + 13*x**2 + 11*x + 32. Let z be w(14). Find the common denominator of z/(11/((-924)/832)) and 37/10 - (-4)/(-2).
520
What is the smallest common multiple of 30*(1 - (-3)/(-9)) and 2252?
11260
Let i(y) = 6*y**3 - 7*y**2 - 31*y - 11. Let m be i(-7). Let o = -28565/13 - m. Find the common denominator of -77/104 and o.
104
Let n be (4/10)/(13/(-195)). Let z be (2 + 28)/n - -7. Let x(f) = f**2 + 4*f + 4. What is the smallest common multiple of 56 and x(z)?
112
Let m(b) = -154*b + 55. Let o be m(3). Let k = -367 - o. Calculate the smallest common multiple of k and 50.
200
Suppose -179*x - 744 = -241*x. Calculate the smallest common multiple of x and 2364.
2364
Let t = -9566/5 - -107159/56. Find the common denominator of -41/20 and t.
280
Let t(f) = -25*f - 1. Let p be t(1). Let u = -170 + p. Find the common denominator of 2/(-14) + 546/u and -15/32.
224
Let i = 71 - 60. Let d be -4 + (-4 + 6)/2. Let v = 3 - d. Calculate the lowest common multiple of i and v.
66
Let g = 47358 - 6440587/136. Find the common denominator of g and -65/252.
8568
Suppose 2*t - 7*t + 170 = 0. Suppose 2*f = -t + 6. Calculate the lowest common multiple of 2 and (-12)/8*f/3.
14
Suppose 0 = -4*z - 2*b + 48, -5*b - 90 = 2*z - 6*z. Let m be ((-9)/6)/((-1)/10). Suppose -3 = -2*w + m. What is the lowest common multiple of w and z?
45
Let x = -131455/61024 - 4/1907. Find the common denominator of x and -27/200.
800
Suppose 0 = -31*j + 38*j - 532. Calculate the least common multiple of j and 8.
152
Let r = 222 - 166. Suppose -5*j = -r + 26. Calculate the smallest common multiple of j and 60.
60
What is the common denominator of -35/27 and (-15 + 14896/992)/((-476)/404 - -1)?
3348
Let c = -1/19856 - 238075/3911632. What is the common denominator of ((-187)/11)/(24/(-30)) and c?
788
Let j be (261736/(-110))/(462/55). Let v = j + 3096/11. Calculate the common denominator of v and -37/9.
63
Let i(w) = -29*w - 630. Calculate the least common multiple of 99 and i(-24).
198
Let o = 3586/3 + -1184. Calculate the common denominator of (-41 + (-401254)/(-9786))/(-1 + 140/138) and o.
699
Suppose 197 = -5*b - q, 3*b - 4*q + 52 = -57. Let r = 98 + b. What is the least common multiple of r and 6?
354
Let o = 137 + -133. Find the common denominator of (o/(-30))/(200/615) and -55/12.
300
Let c(h) = 2 + 8*h + 19*h**2 + h**3 - 9*h**2 + 1. Let j be c(-9). Suppose v = -4*b + 8, 28 = 5*v - 2*b - j. Calculate the least common multiple of v and 1.
8
Let b = -197315/9 + 21922. Let u = -103 + 9. Calculate the common denominator of b and -1 - ((-244)/u)/(-2).
423
Suppose -59*s + 333 + 291 = 19*s. Calculate the least common multiple of s and 1617.
12936
Let t be (-30772)/20678 - 3/(-2). Let c be (-51771)/(-11394) - (1 + 0). Let i = c + t. Find the common denominator of i and 69/4.
36
Let n = -3544308 + 21312509/6. Let t = -7752 + n. Find the common denominator of t and (-3)/(-12) - 1413/(-324).
18
What is the smallest common multiple of 70 and 2/24*(61 - 70) - 9187/(-4)?
11480
Suppose -3*j - 10*s = -6*s - 726, -5*j + 3*s + 1181 = 0. Calculate the smallest common multiple of 42 and j.
714
Let y be 1 + 0/(-1) - 1. Suppose 2*o + d - 11 + 0 = y, 3*o + 4*d - 14 = 0. Let i(z) = z + 4. What is the smallest common multiple of i(o) and 34?
170
Suppose -13*r + 7820 - 2165 = 0. Calculate the least common multiple of 150 and r.
4350
Let d be 3*(-2 + (-16)/(-6)). Suppose -d*n - 5*m = -37, 4*m + 38 = 3*n - 6. What is the smallest common multiple of n and 8?
16
Suppose 4*w + 10 + 10 = 2*y, 3*y - 4*w = 24. Suppose -y*l + 6*k = 8*k - 42, -39 = -4*l - k. What is the smallest common multiple of 1 and l?
9
Let a = -242714326768184/3675 + 66044717677. Let k = -143/7350 - a. Let w = -2933 - k. Find the common denominator of w and 20/33.
66
What is the common denominator of 83/364 and (-4017)/336 - (36 + -48)?
1456
Let l(r) = 17*r + 1006. What is the smallest common multiple of 3 and l(0)?
3018
Let t(h) = -3*h + 30. Let x be t(-20). Suppose 7*q + x - 27 = 0. Let r(j) = -2*j - 7. Calculate the smallest common multiple of 10 and r(q).
110
Let x(q) = 6427*q - 33. Let f be x(7). Let v be 16/4 + f/(-16). Let s = -2789 - v. What is the common denominator of -51/16 and s?
16
Suppose -12*x - 180 = -27*x + 12*x. What is the least common multiple of x and 648?
3240
Suppose k = 7*y + 12, 52 = k + 83*y - 80*y. Calculate the least common multiple of 430 and k.
1720
Let h(q) = q - 5. Suppose -d = 5*d - 24. Suppose 22 = 2*r + 2*y, -6*y + 2*y = -2*r + d. Calculate the lowest common multiple of h(6) and r.
8
Let h = -258 + 951. Find the common denominator of -10/27 and 318/h - (3 + (-36)/14).
297
Suppose -818 = -160*f - 18. What is the lowest common multiple of 348 and f?
1740
Suppose 18714 = 46*r + 6570. Calculate the smallest common multiple of r and 5016.
5016
Let s be (-16790)/15*((-567)/(-6))/(-7). Let k = s - 2327111/154. What is the common denominator of -35/6 and k?
462
What is the common denominator of ((-394)/735)/(3744/1092) and -19/1404?
49140
Find the common denominator of 8/(-10) + (4 - 1) + (-61832)/27960 and -49/18.
4194
Let j(h) = h**2 - 39*h + 387. Calculate the lowest common multiple of j(30) and 249.
9711
Let x(w) = -24 + 7*w - 5*w + 0*w + 0*w. Let p be x(13). Suppose -p*c - 168 = -5*n, n + 4*c - 22 = -6. Calculate the lowest common multiple of 4 and n.
32
Suppose 99*n + 744 = 130*n. What is the lowest common multiple of 810 and n?
3240
Let u = -5137 - -256813/50. Suppose -2*f - 3 = -f. What is the common denominator of (-115)/55*f/(-2) and u?
550
Suppose 701*h - 21 = 704*h. Let k(t) = -t**3 - 8*t**2 - 4*t + 25. What is the least common multiple of k(h) and 7?
28
Let z = 309 - 393. What is the common denominator of 2*(-1)/20*-51 and (-280)/z*(-1 + (-22)/(-8))?
30
Calculate the common denominator of 23/9 and (-10)/(-65) - 34510/1370733*6.
45189
Let g = -128 - -141. Let d = g - 4. What is the lowest common multiple of 8 and d?
72
Let z(x) = -2*x**2 + 29*x + 4. Let r be z(14). Let u be ((-8)/12)/(4/r). Calculate the lowest common multiple of 6 and u*(12/(-15))/((-2)/(-15)).
18
Let p(w) = 3*w**2 + 2 + 6*w + 8 - 14. Let d be p(-3). Suppose r - d = 3. Calculate the lowest common multiple of 6 and r.
24
Let n(y) = y**3 + 2*y**2 - y - 2. Let k be n(-1). Suppose 0*q + q - 20 = k. Let j(m) = m**3 - 2*m**2 + m - 4. Calculate the least common multiple of j(3) and q.
40
Calculate the lowest common multiple of 357/11 + (-222)/(-407) and 195.
2145
Suppose -3*u - 3*j + 4 = -7*j, 3*j = -u + 23. Let k(b) = b + 5. Let t be k(0). Suppose -60 = -t*h - 0*h. What is the least common multiple of u and h?
24
Let v = -10526/3729 - -27307576/1808565. Let i = 784/25 + -75748/2425. Let a = v + i. Calculate the common denominator of 82/15 and a.
15
Calculate the smallest common multiple of 36/(-21) - 12416/(-56) and 495.
1980
Suppose 4*v - 225*t + 226*t - 59 = 0, 5*v + 5*t - 55 = 0. Calculate the least common multiple of v and 38.
304
Suppose 3*k + 12330 = -3*r, -8216 = 2*r + k - 3*k. Let t = r - -2592. Let n = t - -3105/2. Find the common denominator of n and -85/12.
12
Suppose 5*h = 2*d + 4130, h - 278*d = -277*d + 823. What is the smallest common multiple of h and 42?
5796
Let k(a) = 27*a + 3577. What is the lowest common multiple of 125 and k(-131)?
1000
Suppose b = 70*b - 344 - 139. Calculate the smallest common multiple of b and 25287.
177009
Let u = 1218 - 1270. Let w be 4/(-14) + (-54)/7. What is the smallest common multiple of 10 and u/w - (-3)/(-6)?
30
Let j(r) = 156*r + 484. Let l = 212 + -96. Calculate the lowest common multiple of l and j(-3).
464
Let n be ((-3154)/(-488))/(11/(99/6)). Let f = 11/61 + n. What is the common denominator of 53/44 and f?
88
What is the common denominator of (5/(-4 + -1))/((1710/(-185))/6) and 83/12?
228
Let s = 45 - -135. Suppose -60 = -16*r + s. Calculate the smallest common multiple of 45 and r.
45
Find the common denominator of -163/7530 and (-7)/(-2 - -13 - -7)*146/14.
22590
Let x be -5 - 24/(-4) - (-21201)/(-80). Let v = x + 1296/5. What is the common denominator of v and 111/40?
80
Let x(d) = 18*d - 6*d**3 + 5*d**3 - 5*d + 18 - 12*d**2. Calculate the least common multiple of x(-13) and -36*((-5)/3 + 1).
72
Calculate the smallest common multiple of ((-972)/(-891))/((-3)/(-22)) and 788.