 p be (2/(-3) - (-4193)/(-6))/2. Let t = -354 - p. What is the common denominator of t and (-3 - 66)*(-2)/28?
28
Let z = 1481 + -26641/18. What is the common denominator of z and -53/36?
36
Suppose 4*b - 3*z = -0*b + 57, 0 = 4*b - 4*z - 60. Suppose 14*m - 12 = b*m. Suppose y - 7 = -p + 8, 4*p - y = 75. What is the lowest common multiple of m and p?
18
Suppose -g - 114 = -9. Calculate the lowest common multiple of (2/3)/(34/459) and (-1)/(-4) + g/(-12).
9
Let o = 14 + -18. What is the common denominator of -2*118/(-36) - -1 and (1/(-3))/(o/(-14))?
18
Suppose 0*h + 5*h - 110 = 0. Suppose 622 = -11*y + 1084. What is the least common multiple of h and y?
462
Suppose 2*r - 4 = 6*r. What is the common denominator of -19/4 and 1*136/(-6)*r?
12
Let b = -5251/2 - -2481. Let i = 148 + b. Let l = -3/2141 + -91997/47102. Calculate the common denominator of i and l.
22
Suppose -5*j - 40 = -10*j. What is the smallest common multiple of j and (-1 + (-4 - -4))*-3*7?
168
Suppose 4*h - 2*j - 10 = 0, -h - 3*h - 5*j = -3. Let x(t) = -2*t - 31. What is the least common multiple of h and x(-16)?
2
Let o(k) be the third derivative of k**6/30 - k**5/15 - k**4/8 - k**3/2 - 6*k**2. What is the smallest common multiple of o(2) and 7?
7
Find the common denominator of 65/93 and (-1287)/(-6)*(-3)/(-135).
930
Let j = 2/971727 - -6021792187/15547632. Let d = j - 387. Find the common denominator of 63/8 and d.
16
Let q = 8046/11 - 729. Let t = -1417 + 2773/2. What is the common denominator of q and t?
22
Let l = -9560 - -114635/12. Let y = 27/2681 + 241457/21448. Let v = -151/28 + y. Calculate the common denominator of v and l.
24
Suppose -2386 = 74*b - 75*b. Let p = b - 28685/12. Let s = -41377/16 + 2584. Calculate the common denominator of s and p.
48
Let g be (-23)/(-4) + 21/84. Find the common denominator of 37/2 and g/(-10) - 7/14.
10
Let g be (-5)/20*-4 - -2. Suppose 2*y - 3*y + g = 0. What is the least common multiple of y and 3?
3
Suppose 3*k - 20 = -4*c - 2, 4 = 4*c - 4*k. Suppose 2*q - 9 + 28 = -c*y, -62 = 4*q - 2*y. What is the common denominator of (2 - 0)*(-38)/q and -47?
7
Calculate the common denominator of -127/168 and (((-64)/(-252))/8)/(2/(-228)).
168
Let k(r) = r**3 + 7*r**2 - 4*r - 12. Let d be k(-6). Let m = d - 43. What is the smallest common multiple of m and 7?
35
Suppose 6*b - 93 = 15. Calculate the smallest common multiple of 500 and b.
4500
Let p(b) = 3*b**3 + 3*b**2 + 11*b - 6. Let f be p(-5). Find the common denominator of -29/8 and (f/2 - 1)*8/(-288).
24
Let j = 59 + -54. Suppose -2*d = -3*p - 31, j*p + 11 = -4. What is the smallest common multiple of d and 3?
33
Let n be (-6)/4 + 22/(-55). Let m = -3/5 + n. Find the common denominator of -55/16 and m.
16
Let j(q) = -q**2 + 5*q - 2. Let k be j(4). Let r(f) = 3*f + 4. What is the lowest common multiple of r(k) and 22?
110
Let y(q) = -2*q**3 - 32*q**2 - 33*q - 13. Let m be y(-15). Let v = m + -20. Calculate the smallest common multiple of v and 7.
84
Let k(a) = -a**3 + 15*a**2 + 2*a - 19. Let x be (-7)/(315/10) + 411/27. Calculate the lowest common multiple of k(x) and 3.
33
Suppose 5*g = -2*y + 7*g + 20, -3*g = -15. What is the smallest common multiple of y and 31?
465
Let g = -28 - -25. Let b = 5 + g. Suppose -b*t = -8 - 24. Calculate the lowest common multiple of t and 18.
144
Let x(y) = -5*y + 30. What is the smallest common multiple of x(5) and (-1 - 2)/(9/(-30))?
10
Suppose m = -19 - 25. Let y = -36 - m. What is the lowest common multiple of y and 16?
16
Calculate the common denominator of 67/152 and 543/72 - (-10)/30.
152
Let i = -28 - -72. Let y = i + -38. What is the lowest common multiple of y and 4?
12
Suppose -3*m - 18 = -6*m. What is the smallest common multiple of (9/m)/(15/220) and 18?
198
Suppose -5*n + 236 + 14 = 0. Calculate the common denominator of n and 27/46.
46
Let n = 8 + -5. Suppose -17 = -n*o + 10. Suppose o = 6*j - 3. What is the lowest common multiple of j and 4?
4
Suppose c + 0*n = -2*n + 1366, -3*n + 3 = 0. Let o = c + -4136/3. Calculate the common denominator of o and 2/(-2*(1 - 2)).
3
Suppose 3*x + 0*x = -2*a + 82, 2*a = -5*x + 142. Let r be 18/x - (-12334)/(-40). Let n = r - -312. Calculate the common denominator of -31/5 and n.
20
Suppose -3*y = -x - 353 - 249, -2*y + 390 = 5*x. What is the smallest common multiple of y and 5?
200
Let q = 280 - 272. Let f be (-8)/20 + 17/5. Suppose f*m - 10 = -u + 25, -38 = -3*m + 2*u. What is the lowest common multiple of m and q?
24
Let v = 1643/3411 - 2/10233. Calculate the common denominator of 59/27 and v.
27
Suppose w + s = 29, 0 = 5*w - s - 3*s - 127. Suppose z = 4*z - w. Calculate the smallest common multiple of z and 5.
45
Let r = 29 - 24. Let q(y) = -y**2 - y. Let z be q(0). Suppose z = -r*v + 9*v - 40. What is the smallest common multiple of v and 9?
90
Suppose -30 = -5*u + 15. What is the smallest common multiple of u and (-3)/(175/(-125) + (-6)/(-15))?
9
Let m = 1394 - 1380. Calculate the lowest common multiple of m and 268.
1876
Find the common denominator of 8*9/48 + (-406)/60 and -17/138.
690
Suppose 3*q - 32 = -2*w + 8*q, q + 16 = w. Let c(r) = -r**3 - 5*r**2 - r + 4. What is the smallest common multiple of w and c(-5)?
144
Let q be ((-9)/18)/((-2)/20). Suppose -4*p = q*n + 49, 0 = p - n + 10 - 0. Let v = p + 33. What is the lowest common multiple of v and 16?
176
Suppose 3*t = -0*t - 27. Let j(z) = -9*z - 22. What is the least common multiple of j(t) and 11?
649
Suppose 4*f + 186 = 4*t + 2*f, -5*t + 4*f = -237. Let c = 50 - t. Calculate the smallest common multiple of 3 and c.
15
Let r = 16662831 + -37081514095891/2225403. Let l = r + 7264457153/44508060. Let d = 494/3 - l. Find the common denominator of 39/8 and d.
40
Let d(r) = r**3 - 2*r**2 - 3*r + 5. Suppose k + 3*k - 12 = 4*s, 5*k - 23 = s. Suppose 3*b - 2*b = k. Calculate the lowest common multiple of b and d(3).
5
Suppose 33*q + t = 32*q + 120, 2*q - 3*t = 245. Calculate the least common multiple of q and 11.
121
Let d be (-1)/((1/(-6))/(135/18)). Let s = -41 + d. Calculate the least common multiple of s and 10.
20
Let x = 764/11 + -19139/264. Calculate the common denominator of x and 10 - 10 - 35/(-72)*-2.
72
Suppose a + 182 - 12 = -x, 2 = -x. Find the common denominator of (-4 + 7)/21 + 934/a and -93/28.
84
Let i(o) = o**3 + 17*o**2 - 19*o - 9. Let a(w) = -2*w**2 + 9*w. Let x be a(6). Calculate the smallest common multiple of 6 and i(x).
18
Let i(o) = 18*o**2 - 7*o - 7. What is the smallest common multiple of 6 and i(-1)?
18
Let o(q) = -587*q - 1. Let k be o(7). Let z = 9614447/2340 - -4007/468. Let g = k + z. Find the common denominator of g and -19/6.
30
Let c = -1474 + 6845. Let s = 38199258767/7078962 + 2/1179827. Let k = c - s. Calculate the common denominator of 113/20 and k.
60
Suppose 5*y = -29 - 61. Calculate the common denominator of y/72 - (-203)/20 and 45/2.
10
Let d(r) = r**2 - 17*r - 8. Let j be d(20). Let c = 56 - j. Calculate the lowest common multiple of 18 and c.
36
Let u be (-158)/25*5/50. Let i = -8626851 + 19410431297/2250. Let s = u + i. Find the common denominator of s and 75/14.
126
Suppose 238 + 180 = 19*b. What is the least common multiple of b and 112?
1232
Calculate the common denominator of (1170/(-132))/((-12)/(-2)) and 27/64.
704
Let s = -547 - -3419/6. Find the common denominator of s and (-4)/(-10) + (-706)/40.
12
Let x be (-1550503)/202158 - (-33)/(-121). Let f be ((-2)/5105)/((-1)/5). Let t = f - x. Calculate the common denominator of -35/18 and t.
18
Let k be (-6)/(-21) - 673192/154. Let x = k + 4374. Let q = 8949 + -26905/3. Find the common denominator of q and x.
33
Suppose 3 = -x, 4*k - 2*x = -1 + 3. Calculate the common denominator of k + (-3)/(-5) + (-226)/40 and 43/16.
80
Let k(j) = 5*j. What is the least common multiple of k(1) and 8?
40
Find the common denominator of 10 + -2 + (-275)/88 and 31/34.
136
Suppose -4*n - 4*d + 1272 = 0, 619 = -4*n - 3*d + 1889. Calculate the common denominator of (-24)/(-9)*(-26)/8 and (0 + -1)/((-24)/n).
6
Let a = 2523 + -47924/19. What is the common denominator of a and (-1 - -2)/((-30)/(-123))?
190
Let f = -15789426 + 410475191/26. Let v = -1920 - f. Find the common denominator of v and -99/8.
104
Let s be ((-30)/25)/((-6)/20). Suppose 2 = n + 4*u, s*n - 10 = 3*u - 2. Let o(x