*-3).
504
Let x be 7/21 - (-1)/(-3). Suppose x = 2*y - 5*t + t, -12 = -5*y + 4*t. Suppose -y*o + 4 = -36. Calculate the smallest common multiple of 18 and o.
90
Let y = 702 + 6063. Let x = y + -547952/81. Calculate the common denominator of x and -14/27.
81
Let d = 131 - 70. Suppose -7*c + q = -2*c - 185, d = c - 5*q. Calculate the smallest common multiple of c and (0 + -2)/((-35)/(-45) + -1).
36
Suppose 3*v + 5*l - 983 = 0, -3*v + 547 = 2*l - 451. Let k(x) = -123*x + 1373. What is the lowest common multiple of v and k(11)?
1680
Suppose 7*t + 4 - 32 = 0. Find the common denominator of (-3)/t*102/(-45) and (-2 - 21)*(-2)/2.
10
Calculate the common denominator of (267/8)/(4*42/(-112)) and -103/3332.
3332
Let a(m) = -197*m - 3096. What is the lowest common multiple of a(-16) and 126?
504
Calculate the common denominator of -56/2925 and 32/(-12)*((-2)/35)/((-80)/(-850)).
20475
Suppose 2*g = 3*r - 932 - 2403, -20 = 4*r. Find the common denominator of g/(-190) + -5 - 4 - 1 and -65/4.
76
What is the least common multiple of 18/(-12)*(-5 - (-1355)/(-15)) and 91?
1001
Let s = -13577/10 + 1356. Let x = -2743/174 + -234/29. Find the common denominator of x and s.
30
Let z be (-124206)/20*10/75. Let y be (-9213)/(-74)*20/3. Let a = z + y. Calculate the common denominator of a and -1/4.
100
Let s be 2 + 8/24*9/(-3). Let v(o) = -o**3 + 2*o**2 + 6*o - 2. Let a be v(4). Find the common denominator of -5 + 8 - 51/a*s and -95/36.
180
Let l(b) = 2*b**2 - 6*b. Let a be l(-5). Suppose a = 6*x - x. Let z = x - -6. Calculate the lowest common multiple of z and 20.
220
Let q = -26 - -20. Let m = q + 4. What is the common denominator of 343/(-21) + m*(-2)/8 and 2/15?
30
Suppose -7*k + 3*m + 861 = 0, 0*k = 5*k - 5*m - 595. What is the least common multiple of 108 and k?
756
What is the smallest common multiple of (-10)/200 - 363615/(-300) and 1616?
4848
Suppose 42 = 2*c + 2*x, c - 17 = 3*x - 0*x. Let r be ((-16)/(-10))/(2/c*2). Suppose -6*g = -r*g + 12. What is the least common multiple of 9 and g?
18
Let y be (-1066 - -2)*1/30. Let r be 4851/70 + -1 + -8. Let o = r + y. What is the common denominator of 31/2 and o?
6
Let o be 6/30 - 18/15. Let v = o + 3. Suppose j - g - 7 = 0, -3*g = -j + 5 + 12. What is the lowest common multiple of j and v?
2
Let a = -461 + 465. What is the common denominator of (-3397)/(-344) + (-2)/a and -155/882?
3528
Let v = -163559/30 + 5451. Calculate the common denominator of v and 83/470.
1410
Suppose -17*z + 21*z - 2046 - 2098 = 0. What is the smallest common multiple of z and 259?
1036
Let u(z) = -5*z**2 + 3*z + 30. Let i be u(-6). Let a = i - -208. Calculate the least common multiple of a and 80.
80
Let x(n) = -n**3 - 2*n**2 - 4*n - 9. Let m be x(-2). Find the common denominator of (((-1)/25)/m)/((-24)/(-30)) and 17/12.
60
Let f be ((0 - (-6 - -6)) + 0)/(-1). Let y(k) be the first derivative of -k**2 + 2*k + 2. Calculate the smallest common multiple of y(f) and 1.
2
Let m = -22504 + 157544/7. Find the common denominator of m and 4/193.
1351
Let v = 27 + -48. Let q be 20/7 - 1*3/v. Let j(l) = -l**3 + 4*l**2 + 2*l - 7. Calculate the smallest common multiple of 22 and j(q).
88
Let d be 2/(-2)*(-5 + (-410)/(-44)). Let l = d - -383/132. Let a = 6034 - 90598/15. Calculate the common denominator of l and a.
60
Calculate the common denominator of 57/(-48)*5 - 96/(-32) and 27/32.
32
Let k be (-104226371)/5202 + 4/(-34). Let t = k - -20041. What is the common denominator of -25/8 and t?
72
Find the common denominator of 65/408 and -2*(123*68/(-1248) + 6).
5304
Suppose 0 = -52*i + 49*i + 12. Find the common denominator of 58/3 and 67/1675*(-830)/i.
30
Let a = -696/17 + 46361/1122. Calculate the common denominator of a and (-10)/(-48)*44/30.
396
Let n(b) = -b**2 - 12*b - 15. Let l = 40 + -44. Let x be (1 - (-32)/l)*1. What is the lowest common multiple of n(x) and 22?
220
Suppose -173*g - 256 = -177*g. Find the common denominator of 12/53 and (-122)/(-30) + 1 - g/96.
265
Let k be 6/16*(-28110)/(-45). Let t = 232 - k. Calculate the common denominator of t and 254*2/(-64) - -3.
16
Let t(i) = -3*i - 16. Let m = -19 - -31. Suppose m*d - 14*d + 4 = 0. What is the least common multiple of d and t(-6)?
2
Let f = -1192718 + 2263778847/1898. Find the common denominator of -3/292 and f.
3796
Let f be 5 + 0 + 11/((-594)/(-154632)). Let p = 2864 - f. Find the common denominator of p and -131/42.
126
Let q(l) = 497 - 17*l - 481 + 7*l. Calculate the least common multiple of q(-2) and 6.
36
Suppose -6*m = 7*m - 65. Let y = -180177/14 + 12875. Let u = y - m. Calculate the common denominator of 59/22 and u.
154
Let k(v) = 28*v**2 + 2*v + 1. Let u be k(-1). Calculate the common denominator of 48/72*(198/(-8) + 0) and u/(-36)*(0 + (-4)/(-5)).
10
Suppose 4*d + 56 = 6*d. Let h(s) = s**3 + 2*s**2 + 5*s + 4. Let a be h(-3). Let m = a + d. Calculate the least common multiple of 4 and m.
8
Suppose 13*y - 40 = 5*y. Let v(i) = -4*i + 3. Let a(k) = 5*k - 4. Let q(c) = y*a(c) + 6*v(c). What is the lowest common multiple of q(10) and 14?
56
Let r = 330923/15 - 68212/3. Let g = r + 678. What is the common denominator of 110/(-4)*(-6)/21 and g?
35
Let a(r) = 21*r + 60. Let k be a(11). Suppose 3*c + 3*p - 176 = 2*p, -5*c = 4*p - k. What is the common denominator of -73/22 and c/66 + (-6)/((-144)/8)?
22
Let p be (-1 + 10/5)*(-86)/(-2). Suppose 2*r = r + 5, -p = -x + r. What is the least common multiple of ((-45)/18)/((-20)/x) and 8?
24
Suppose -32*h - 1399739 = -43*h. Let a = h + -7635109/60. Find the common denominator of a and -73/30.
60
Let m = -10055/3 - -60395/18. Let j be (-1 - -4)*(-5514)/36. Let h = -476 - j. Find the common denominator of h and m.
18
Suppose l + 1948 = 5*l - 4*r, -2*r = l - 472. Let s = l - 113. Calculate the common denominator of 61/4 and (2 - 1) + s/(-30).
20
Suppose -11216 + 8636 = -383*s + 20400. What is the smallest common multiple of s and 12?
60
Let d(o) = -31*o + 111. Calculate the least common multiple of d(3) and (0 + -1)/(1/(-93)).
558
Let i(g) = -7*g**3 + 58*g**2 + 14*g - 4. What is the smallest common multiple of i(8) and 9?
2124
Suppose 0 = -56*i - 3*i - 23*i + 12054. What is the smallest common multiple of i and 18?
882
Let i(g) be the third derivative of g**4/8 + 9*g**2. Suppose 3*d - 8*z = 8*d + 4, 15 = -5*z. Calculate the smallest common multiple of d and i(6).
36
Let z(g) = -g**3 + 41*g**2 - 407*g + 30. What is the lowest common multiple of z(24) and 1122?
10098
Let c = -7295 - -7310. Calculate the least common multiple of c and 1212.
6060
Let x be (41/(-9) - -5)*9. Let f = 9 + -2. Let g = x + f. What is the lowest common multiple of 7 and g?
77
Calculate the common denominator of (-2838)/(-110)*7/378 and 71/150.
450
Let z = 1483877/8251295376 + -13/81168. Let k = z + -213396/512452937. Let i = k + -418361/105861. Calculate the common denominator of i and -32/27.
189
What is the least common multiple of 40 and (-149)/894 + ((-1)/8)/((-6)/21512)?
2240
Suppose 0 = -2*a - 3*m + 5, -a = 28*m - 29*m - 5. Calculate the smallest common multiple of a and 4551.
18204
Let k(x) = -2*x**3 - 34*x**2 + 113*x - 32. What is the smallest common multiple of k(-23) and 59?
3717
Suppose -5*f - 1608 = -2*f. Find the common denominator of (2/(f/3))/((-21)/1008) and -44.
67
Let w = -216 + 235. What is the common denominator of ((-8)/9)/((-1)/(-3)) and w/(-38)*6/27?
9
Let t = -438119/18844 - 1/4711. Calculate the common denominator of 5/2 + 152/(-760) and t.
20
Let q be -32 - (-5)/10*-4. What is the common denominator of 6/(q/(1 + 1)) and (4/36)/(1/(-31))?
153
Suppose -3*m + 6 = 0, -15*a = -11*a - 4*m - 10368. Let s = 28563/11 - a. Calculate the common denominator of s and -59/2.
22
Let i(h) = -h**2 - 2*h - 2. Let t be i(-2). Let d be (t - -2)/(-2 - -1). What is the common denominator of -79/4 and 3 + 47/10 + d - 1?
20
Calculate the common denominator of (13431/22990)/((-60)/2) and -137/1140.
5700
Suppose 3 - 5 = n. Let c(y) = 2*y**2 - 2*y - 2. Let w be c(n). Suppose -w*r - r = -55. Calculate the lowest common multiple of r and 3.
15
Let p(o) = 173*o - 55. Let q be p(-9). Find the common denominator of 38 and ((-70)/(-21))/5*(-270)/q.
403
Suppose -15*k = -71437 - 59663. Let y be (23/k)/((-2)/(-1884)). Let u = y - -13/76. What is the common denominator of 103