
40
Calculate the common denominator of -4 + (156165/(-1170))/(-29) and -83/2314.
6942
Let j be (-8 + 7 + 1)*1. Calculate the common denominator of 4/10 + 17/6 and (-2)/3 - ((-132)/32 - j).
120
Let r = -1/280 - 297/140. Find the common denominator of r and 24/(-11502)*-9*-18.
568
Let k = -381573759/5309 - -71873. Let p = 228299/31854 + k. Calculate the common denominator of 19/18 and p.
18
Let i = 3/1438774 + 79845807/2949486700. What is the common denominator of -97/20 and i?
4100
Let o(v) = -v**2 - v + 7. Let a be o(-5). Let u = 694 - 692. Calculate the common denominator of 2 - u/(-8)*a and -91/6.
12
Find the common denominator of 13/5550 and 2/(-1) + ((-12936)/144)/77.
5550
Calculate the common denominator of (-193)/60 + (4/12)/(-1) and -179/840.
840
Let t = 665 - 583. Calculate the smallest common multiple of 4 and t.
164
Find the common denominator of -2 - 36/(-21) - 11/((-2516360)/59060) and -9/22.
17974
What is the common denominator of 13/(-117) + 791/(-90) and 3 - 5 - (-256)/36?
90
Suppose 0 = 3*p + 15, 2*u - 509 + 402 = -5*p. Calculate the lowest common multiple of 66 and u.
66
Suppose -5*n + 95 = -0*n - 23*a, -3*n = 5*a - 57. Calculate the smallest common multiple of -11*(1 - 0)*-1 and n.
209
Let c be 50/15 - 3 - 35/15. What is the common denominator of 11 - (-14)/c - 614/192 and -21/4?
96
Let r(n) = 5*n**2 + 19*n - 17. Let y be r(20). Let c = 42553/18 - y. What is the common denominator of 1 - 4/(352/(-20)) and c?
198
Suppose 540 = 2*h - 3*u - 265, -4*h + 1617 = u. Calculate the least common multiple of h and 202.
404
Let t(z) = -z**3 + 11*z**2 + 28*z + 2. Let j be t(13). What is the lowest common multiple of 24 and 19 + 21/(j/(-4))?
48
Calculate the least common multiple of 2241/(-135)*(-57 + -3) and 54.
8964
Let f = 33457/97580 - 169/410. Calculate the common denominator of -25/36 and f.
4284
Suppose 3*z + 4650 = -4*b, -2324 = 2*b - 15*z + 16*z. Let c = -25561/22 - b. What is the common denominator of -151/12 and c?
132
Let g be 2 - -27 - 2 - -1. What is the common denominator of (-74)/(-11) + g/(-14) and 37/12 - (0 + -1)?
132
Let g(z) = 136*z - 8. Let b = 70 + -68. Let k be g(b). Suppose -4*l - 8*l + k = 0. What is the least common multiple of 48 and l?
528
Suppose 0 = -3*v + 76*z - 77*z + 744, -4*v + 6*z + 1036 = 0. What is the least common multiple of v and 600?
3000
What is the lowest common multiple of (26/(-1))/(29 - (-10230)/(-352)) and 468?
3744
Let a = 153 + -142. Let d = 17 - 15. Let p(z) = 8*z**2 + 1. Calculate the least common multiple of p(d) and a.
33
Let a = 3517798 - 8349193. Let d = -3778149967/782 - a. Let f = d + -3/782. Calculate the common denominator of 32 and f.
17
Let q = -69 - -9. Let m be (-1)/(9/426*(-6)/9). Let s = q + m. What is the lowest common multiple of 5 and s?
55
Suppose d - 5*f = -2*d + 54, -4*f = 2*d - 36. What is the lowest common multiple of d and 471/2 - 22/((-968)/(-154))?
2088
Let n(g) = 24*g**2 - 124*g - 1040. What is the least common multiple of 18 and n(-8)?
4464
Calculate the common denominator of 23/215 and (34/5)/(((-5530)/105)/(2/8)).
67940
Let i(d) = 214*d**2 + 5*d - 16. Let x be i(-9). Let h be x/33*(-16)/40. Let p = -2350/11 - h. What is the common denominator of p and -41/18?
90
Suppose 0 = 2*m - 6*m + 32. Find the common denominator of 25/m - (-3)/(-6) and (-60 - -53) + (-2124)/(-304).
152
Let s = 17/15 - 241/120. Let c(g) = 48*g - 1. Let o be c(-3). What is the common denominator of 2*(-2 + o/(-36)) and s?
72
Calculate the common denominator of 666/(-132) - -4 - (27/11 + -3) and -49/422.
422
Suppose -g + 4*s = 7353, 1 + 0 = -s. Let x = g + 1671. Let l = x + 397917/70. What is the common denominator of -65/3 and l?
210
Find the common denominator of -43/32 and (-4655)/342*36/(-84)*(-3)/(-32).
64
Let z(v) = -v + 166. Suppose -4*f = d - 108, f = -5*d + 42 - 15. Calculate the smallest common multiple of z(7) and f.
1431
Suppose 10 = -6*h + 40. What is the least common multiple of 63 and (-20)/35 + (1280/7)/h?
252
Let o = 655/3366 + 5/153. Find the common denominator of 1539/(-38)*(-22)/(-88) and o.
88
Let g = -114415/661188 + -6/5009. Calculate the common denominator of g and (-2)/(-6)*(-655)/(-30).
396
Suppose -5*a = -5*r - 0 + 10, 3*a + 2*r = 19. Suppose 4*k - 10 = a*k. Let j = k + 5. Calculate the least common multiple of 11 and j.
165
Calculate the common denominator of -27/20 and ((-36)/1674)/((-240)/(-36)).
620
Suppose 236 = 5*z + 86. What is the common denominator of -5 + 3450/(-2080)*-4 and (-587)/z + 8/20?
156
What is the common denominator of (-15 - 169/(-13))*(-238)/18696 and 13/8?
18696
Find the common denominator of 14/655 and -3*(-9 - 93/(-27)).
1965
Calculate the least common multiple of (-5608)/(-14) - (26/(-273) - 12/(-18)) and 100.
400
Suppose -8*x + 4228 = 5*c, -312 = -x - 3*c + 207. What is the least common multiple of x and 18?
1062
Let o(b) = 2*b**2 + 17*b + 42. Suppose -59 = 6*v - 11. What is the smallest common multiple of o(v) and 18?
306
Suppose -12*g + 13*g = 1, 560 = 2*f - 4*g. Calculate the least common multiple of 57 and f.
5358
Let y = -209 + 328. Let b = y + -115. Suppose 0 = b*l + 4*i - 15 + 3, -5*l - i = -35. Calculate the smallest common multiple of l and 21.
168
Suppose -2*a - 4 = -0, -l + 5*a = -15. Calculate the common denominator of l - (5 + 295/(-150)) and 25/12.
60
Let j(o) = 2*o**2 - 5*o - 6. Let l be j(4). Suppose -l*c - 13 = -751. Calculate the least common multiple of c and 27.
1107
Suppose 0 = 2*z - 38 + 16. Suppose a = 5*o + 195, -4*o + 8*o + 2*a + 142 = 0. Let y = o - -45. Calculate the smallest common multiple of y and z.
77
Let h(b) = b**3 - 7*b**2 - 2*b - 4. Suppose 2*c = -5*i + c + 36, -12 = -3*i - 3*c. Calculate the lowest common multiple of h(i) and 40.
440
Suppose -5*s + 39 + 46 = 0. Suppose 18*z = s*z - 14. Find the common denominator of 83/32 and (5/(-2))/(z/210).
32
Calculate the common denominator of 103/1060 and ((-60)/(-71550))/(3 - 2 - (-11)/(-13)).
9540
Suppose -4*c - 80 = -2*f, -379*f + 377*f - 6*c = -20. What is the lowest common multiple of 2639 and f?
10556
What is the common denominator of (189/192 - 1)*(-180)/70 and -139/1120?
1120
Let b = 12191 - 304819/25. What is the common denominator of -129/1160 and b?
5800
What is the common denominator of 3 + 36178/(-10320) + (-14)/(-35) and 38/387?
3096
Suppose 0 = -o - 24 + 28. Let p be 9/(18/o) - 151. Calculate the lowest common multiple of (p/7)/(-1) - (-16)/(-56) and 30.
210
Calculate the common denominator of 113/12 and (16/(-168))/((-96)/(-4140)).
84
Let j(c) = -c**3 - 5*c**2 - 8*c - 4. Let u(m) = m**3 - 104*m**2 - 3*m + 323. What is the smallest common multiple of u(104) and j(-5)?
396
Let j(a) = 6*a**2 + 3*a - 2. Let v be j(-4). Find the common denominator of (27 + 1)/(-11 - -13) and ((-24)/v)/((-3)/60*-5).
41
Find the common denominator of 51/9610 and 11/132 + 4697/660.
9610
What is the common denominator of -56/999 and (3 + (-235)/66)*(-4)/27?
32967
Let w(k) = 6*k**2 - 70*k + 435. What is the lowest common multiple of 147 and w(6)?
1617
Let g(y) be the second derivative of -y**4/12 - 2*y**3 - 9*y**2/2 + 2*y. Let a be g(-10). Suppose -u = -13 - a. Calculate the lowest common multiple of 4 and u.
24
What is the common denominator of 46/141 and (-5)/(-6)*(-11700)/(-94000)?
1128
Let g be 4/(-1) + (-50)/(-5). Let m be 19/1 - (0 - 5). Suppose -5*z - 20 = -2*n, -2*z = 2*n - g*z - m. Calculate the least common multiple of n and 2.
20
Calculate the least common multiple of 2505 and ((-112)/12)/4 - (-2870)/123.
17535
Let n be (-9 - 26/(-3))*9. Calculate the common denominator of -103/18 and (((-9)/8)/n)/((-198)/(-7480)).
18
Let i = 34913756485 + -2487814632292897/71256. Let a = i + 1/44535. Find the common denominator of 37/45 and a.
360
Find the common denominator of 2/939 and (2/(-26 + 2))/(118252/(-5123) + 23).
33804
Suppose -v = 456 - 458. Suppose 2*h + 30 = 4*f, 0*f - 4*h = -v*f. What is the smallest common multiple of f and 11?
110
Suppose -4*i + 2045 = 5*g, 10*g - 13*g = 9*i - 1260. What is the least common multiple of 567 and g?
2835
Let j = 213 + -197. Let w = -60 - -37. Let o = 39 + w. What is the least common multiple of j and o?
16
Suppose -g - 46 = -5*f + 3*g, -5*f - 2*g = -52. Suppose f = 5*m - 2*a, 2*m - a = 3*m - 2. Let i = -5191 + 5213. What is t