30
Let k be (-6)/10 - ((-24)/15 + 3). Let v be (8/(-5))/(1/205). Find the common denominator of 29/9 and k - (v/12 - -3).
9
Let b = -263 - -303. Suppose -o + 12 = -2*c, 3*o - b = 12*c - 8*c. What is the lowest common multiple of 6 and o?
48
What is the common denominator of (56/(-1652))/(14/161) and 119/708?
708
Let t(n) be the first derivative of 19*n**3/3 + 4*n**2 - 12*n - 10. What is the least common multiple of 35 and t(2)?
560
Let p = 347 + -8327/24. Let m be 9/(-6)*20/(-15). Find the common denominator of (m + (-58)/30)/((-1)/43) and p.
120
What is the common denominator of (-1311)/(-5244) + (561/(-520))/3 and 39/92?
11960
Suppose 255244 = -59*z + 311*z + 13324. Calculate the smallest common multiple of z and 24.
960
Suppose x + 706 = -5*g - 1046, 0 = x - 4*g + 1725. Let o = 10289/6 + x. Find the common denominator of o and -94/45.
90
What is the least common multiple of (90*-1)/(19 + -20) and 120?
360
Let w be (-3)/((-12)/(-28)) + -2 + 3. Let c(a) = 16*a**2 + 78*a + 6. Let r(k) = -3*k. Calculate the smallest common multiple of r(-4) and c(w).
228
What is the common denominator of 42/1865 and (1 - -4 - (-1056)/(-64))/((-5)/(-2))?
1865
Suppose -14*t + 4333 = 903. Calculate the lowest common multiple of t and 980.
980
Let q(w) = w**2 + 29*w - 66. Let c be q(2). Calculate the lowest common multiple of 24 and (-522)/c + (-45)/(-30).
264
Let r(u) = u + 110. Let y be r(-26). Suppose -140 = -7*s + y. What is the smallest common multiple of 7 and s?
224
Suppose 5*w - 2181 - 9652 = 1292. Calculate the smallest common multiple of w and 75.
2625
Let u = 4/8383 + 1226/32567955. Calculate the common denominator of u and 55/3.
3885
Let n(m) = 170*m + 352. Let s = 17 - -1. Suppose 0 = -3*k - 2*i + i + 24, -k + 3*i = -s. What is the smallest common multiple of k and n(-2)?
36
Let o(f) = f**3 + 12*f**2 + 2*f + 22. Let s be o(-12). What is the lowest common multiple of s + (-20*1)/(-13 - -11) and (18 - -2)/(1/1)?
40
Let b(c) = c + 15. Let o be b(-11). What is the lowest common multiple of 15 and 26 + (-35 - -25)*o/(-10)?
30
Let t = -162432353/15020 + 54072/5. Calculate the common denominator of t and 107/12.
9012
Let j be (4 - (1 - -9))/((-2)/6). Suppose j*v = 913 + 1679. Calculate the least common multiple of v and 24.
144
Let k(x) = -x**2 + 37*x - 241. What is the least common multiple of (3/(-1))/(27/(-495)) and k(20)?
495
Let n(l) = 21*l + 2433. What is the smallest common multiple of n(-112) and 27?
81
Suppose 2*b + 79 + 207 = -y, -527 = 2*y - 5*b. Let z be 2/(-9) + (y/(-27) - -6). What is the lowest common multiple of 6 and (-48)/(-27) + z/72?
6
Suppose -p - 5*f + 1079 = 0, p - 5*f + 0*f = 1039. Let y = -5278/5 + p. Find the common denominator of (-18659)/13489 - (-6)/21 and y.
205
Let v be (160/(-71456))/((-19)/(-33179)). Let u = -4/3857 - v. Find the common denominator of u and 4/(-3)*(-74)/24.
99
Suppose 4*q = -5*c + 32, 3*c = 3*q + 27 + 3. Calculate the smallest common multiple of 2692 and c.
5384
Let x = 5089 + 2332. Let s = x - 4178030/563. Let y = s - -57101/19142. What is the common denominator of y and -29/2?
34
Suppose -4*t + 4*b = 3 - 83, 2*t - b - 35 = 0. What is the common denominator of 3802/(-468) - ((-256)/26 + 10) and 64/(-5) - t/(-75)?
90
Find the common denominator of -53/3 and 52/(-130)*(1 + (-58)/28 + -3).
105
Find the common denominator of 72/(-27)*21/14 + 11134/2712 and 91/54.
12204
Let k(h) = 4*h**2 + 3*h + 2. Let v be k(-2). Let b(u) = 2*u**2 + 20*u + 7. What is the smallest common multiple of b(-10) and ((-3)/9)/((-2)/v)?
14
Let u = 518450875/6656 - 311569/4. Find the common denominator of 109/20 and u.
33280
Suppose -4*h + 5*h - 12 = 0. Let z be (6 - 282/h)*(-4)/(-5). Calculate the common denominator of (-66)/(-3)*z*4/(-192) and -79/30.
60
Let m = 5243 + -36734/7. What is the common denominator of 149/210 and m?
210
Let q be (-946221)/(-126) + (0 - -1). Let r(z) = -116*z**3 - 7*z**2 - 4*z + 44. Let h be r(4). Let f = h + q. What is the common denominator of -35/2 and f?
42
Calculate the common denominator of -86/1665 and (-77)/22 - (-29)/((-128760)/(-15904)).
3330
Let c = -5251281220 - -346591137229/66. Let n = 99649 - c. What is the common denominator of 133/24 and n?
264
What is the common denominator of (-2)/(-6) + (-68)/9 and 26/(572/110) - (-213)/6?
18
Suppose 680 = 2*z - 2*m, -2*m - 1694 = -16*z + 11*z. Let r = 413 - z. What is the lowest common multiple of r and 18?
450
Find the common denominator of (786/27)/(13200/(-180)) and 103/210.
2310
Suppose -8*c + 85769 = -98303. Let p = c - 1449536/63. Find the common denominator of p and -14/81.
567
Let a = -48 + 52. Suppose a*y - 295 + 103 = 0. What is the common denominator of 99/20 and ((-27)/y)/(6/22)?
80
Let p be 0 - (-8)/2 - -382. Let j be 12/(-78) + p/(-26). Find the common denominator of 87/22 and 9/j - (-3 + (-2001)/(-90)).
66
Calculate the common denominator of -22/15 and (((-1974)/20)/(-21))/(210/4).
525
Let b = 29 + -17. Let d = -33464 - -33470. Calculate the least common multiple of b and d.
12
Suppose 17*q = -23*q - 58*q + 4508. Calculate the lowest common multiple of 4 and q.
92
Calculate the common denominator of -2/49 and (-157)/(-49) - (1105/595 + (-2)/(-14)).
49
Let f be (-255273)/70616 + (16/(-7))/(-4). Let h = 7/3783 + f. What is the common denominator of -49/10 and h?
120
Let p be 123*((-384)/(-126) - 3). Let a = 1592/273 - p. What is the common denominator of 80/21 and a?
273
Let k = 722 + -6530/9. Find the common denominator of k and (-535)/(-972) - 8*(-6)/(-192).
243
Let c(b) = -b**3 + 15*b**2 + b + 17. Let x be c(13). Let v = 449 - x. What is the lowest common multiple of 30 and v?
810
Let b be 80/10*2/2. What is the common denominator of -97/20 and (-12 - (-594)/45)*15/b?
20
Let v = -1/4327 + 255341/207696. Let w = 6/133 - 299/9576. What is the common denominator of w and v?
144
Calculate the common denominator of 9/8 and 2928/4805 + (62/10 + -6)*-3.
7688
Find the common denominator of 5/(-48)*((-96)/90)/8 and 2 - -13*49/126.
72
Let f(t) = -t**3 - 8*t**2 - 48*t - 113. Suppose 297 + 315 = 4*j. What is the lowest common multiple of j and f(-4)?
765
Let i(b) = -3*b**2 + 5*b - 16. Let a(w) = -2*w**2 + 3*w - 16. Let h(m) = 4*a(m) - 3*i(m). What is the least common multiple of 36 and h(-5)?
72
Let b(s) = -s**2 - 6*s + 22. Suppose 0 = -2*a - x - 15, -5*a - x - 33 - 9 = 0. Let l be b(a). Calculate the common denominator of 55/3 and l/(165/84)*(-105)/56.
66
Suppose 435 = 4*j + 203. Suppose 0 = j*k - 60*k + 30. Calculate the least common multiple of 18 and k.
90
Suppose 0 = 15*z + 51969 - 57759. What is the smallest common multiple of 18 and z?
3474
Let j(o) = 4*o - 37. Let i be j(10). Suppose 0 = -i*s - 4*m + 106, 3*s - m - 116 = -0*s. Calculate the least common multiple of 6 and s.
114
Let r = -48416 - -48464. Let g(i) = i**3 + 6*i**2 - 7*i - 6. What is the least common multiple of r and g(-5)?
432
Let a = -1113625/36 + 30931. Calculate the common denominator of (-436)/120 - 1/5 and a.
36
Let g = -169701 - -64147061/378. Calculate the common denominator of 181/30 and g.
1890
Let u(m) = -12*m**3 - 273*m**2 - 12*m - 45. What is the smallest common multiple of 505 and u(-23)?
9090
Find the common denominator of 13/614 and 206/(-12) + (9 - -1) + -16 + 6.
1842
Let m = -8922 + 8936. Calculate the least common multiple of m and 728.
728
Suppose -2*a + 956 - 130 = 4*z, 0 = 4*a - 4. Suppose 205*b = z*b - 1. What is the common denominator of 7/12 and b/(-5 + (-29 - 0))?
204
Let a = -462239621767/135 - -3424038371. Let v = 41173 - a. What is the common denominator of -53/6 and v?
270
Let v be (28/(-35))/(2/5). Let d(s) = 57*s + 14. Let n be d(v). What is the lowest common multiple of (4/3)/(-2 + n/(-48)) and 128?
128
Let q = 1093660/3 - 353428. Let n = -278157/25 + q. What is the common denominator of -61/50 and n?
150
Let d be 6/(-33) - 264/(-121). Let q be (36*3)/3 - -2. Suppose d*v = q + 6. What is the lowest common multiple of 12 and v?
132
Find the common denominator of (759/92 - 5/(-1))/8 and 31/2460.
19680
Let u(k) = 58*k - 768. What is the smallest common multiple of u(14) and 2400?
26400
Let l = 58 - 31. Suppose -163*u = -144*u - 399. What is the least common multiple of l and u?
189
Find the common denominator of -28/165 and 4/3800*(-19895)/(-1038).