at is the common denominator of 298/(-12) + 2/4 and 3/27*(-24)/(-392)*7?
21
Let y(j) = -12*j**3. Let w be y(-1). Let t = -7 + w. Suppose -t*k + 70 = -0*k. Calculate the least common multiple of 8 and k.
56
Let i = 805/4 + -10493/52. Find the common denominator of i and -101/10.
130
Suppose 4*m - 5*f + 10 = 41, -2*m - 5*f = -23. Suppose 0 = -7*s + 418 - 12. Let g = s - 47. What is the lowest common multiple of g and m?
99
Let b(k) = -9*k - 193. Calculate the least common multiple of b(-23) and 714.
714
What is the common denominator of (-74)/280 - 3/(-12) and 5 - ((-6645)/(-350) - (-6)/(-5)) - -5?
70
Let u = -972/7 + 559/4. Let k = -3172/3 + 2139/2. What is the common denominator of u and k?
84
Let x = 732131/1340 + -2732/5. Find the common denominator of x and 137/12.
804
Suppose 3*n = 2*n + 1. Find the common denominator of -5 - (-771)/120 - (n + 0) and 21/40.
40
Let r = 1/3105 + 1819/136620. Let o = -7709/660 + r. Find the common denominator of o and -32/9.
9
Let r = -844/7 + 118. What is the common denominator of r and 82/63?
63
Suppose 0 = 2*d + 1 - 5. Suppose 5*f = -0*o + 5*o + 225, 4 = -d*o. Find the common denominator of f and 9/7.
7
Let x be ((-160)/12)/((1 + -2)/(-3)). Calculate the common denominator of (8 + 2 + -8)/(x/146) and 2/(-7) - 1222/84.
30
What is the common denominator of ((-10)/45)/((-60)/555) and 133/450?
450
Let z = 12 - -9. Let y(o) = -o**3 - 6*o**2 + 3*o + 3. Let j be y(-6). Calculate the least common multiple of z and ((-8)/(-3))/((-5)/j).
168
What is the lowest common multiple of 1365/(-42)*(-12)/15 and 18?
234
Calculate the smallest common multiple of -2 - 3/(21/(-553)) and 70.
770
Find the common denominator of 73/6 and 2/9 - 253/1584.
48
Calculate the smallest common multiple of 55 and (854/56 - 13)/((-6)/(-80)).
330
Let j = 2731/1729 + -2/247. Calculate the common denominator of -61/6 and j.
42
What is the common denominator of 15/4 and (((-156)/(-18))/(-13))/((-80)/(-142))?
60
Let k = 7384364/165 - 44754. Find the common denominator of k and -89/90.
990
Suppose 0 = -2*w + 6*w - 56. Let c(p) = p**2 - 2*p - 1. What is the least common multiple of w and c(3)?
14
Find the common denominator of (6/4)/((-7052)/1107) and -37/8.
344
Let n = 435821354/275 - 1584807. Let b = 8/75 + n. What is the common denominator of b and 149/18?
198
Let y = -103429/73430 + -36/1049. Calculate the common denominator of 74/35 and y.
70
Let t = -34002 + 6120379/180. Calculate the common denominator of 46/15 and t.
180
Let p be (-15396)/(-10) - 46/(-115). Let b = -13891/9 + p. What is the common denominator of -25/7 and b?
63
Let k = -28 - -31. Suppose k*j + 7 = -5. Calculate the common denominator of (10/(-32))/(j/16) and 121/6.
12
Let u be (-1)/((-2)/336*2). Suppose 0 = -s - 5*s + u. What is the least common multiple of s and 2?
14
Suppose -4*f + 23 = 5*p - 117, -f + 59 = 2*p. Suppose 28 = 4*s + 4*y, 2*s + 5*y - p + 6 = 0. Calculate the smallest common multiple of s and 21.
21
Let g be (0 - (-16)/4) + 12. Suppose 0 = o - 3*o - q - 10, 0 = -3*o - q - g. Let x = 8 + o. What is the lowest common multiple of x and 6?
6
Let k(y) = y**3 + 10*y**2 + 13*y + 28. Let o be k(-8). Suppose x + o = 3*g, 4*g + 4*x - x - 78 = 0. Calculate the smallest common multiple of g and 20.
180
Suppose 0 = -3*a - 4*m + 118, 11*a - 90 = 8*a + 3*m. Calculate the smallest common multiple of 16 and a.
272
Suppose 12 = -3*l, l = -4*p - p + 596. What is the least common multiple of p and 200?
600
Let t = 36019/12 - 2995. Find the common denominator of t and -107/714.
1428
Let b = -76 + 82. What is the least common multiple of 111 and b?
222
Let f = -1177 - -1461. Calculate the lowest common multiple of 28 and f.
1988
Let h(y) be the first derivative of -y**4/2 + 4*y**3 + y**2 - 4*y - 20. What is the least common multiple of h(6) and 18?
72
Let y = 76 + -82. Let d = 2 - y. Calculate the smallest common multiple of d and 8.
8
Suppose 0 = 57*g - 52*g + 30. Find the common denominator of 1/28 and 498/90*1/(8/g).
140
Let z = -163 + 3261/20. Let i be -2 - (-2 + 932/224). Let n = -81/14 - i. What is the common denominator of n and z?
40
Suppose 25 = 4*x + 1. Let d = x - 3. Suppose 4*o - 2*o - 4*c = 8, 0 = -4*o + d*c + 16. Calculate the least common multiple of 14 and o.
28
Suppose 24*v = 845 + 19. Calculate the smallest common multiple of 84 and v.
252
Let f = -110957/60 - -5539/3. Calculate the common denominator of 19/14 and f.
140
Let p = 1447847528899817/42354 - 34184434260. Let l = p + -1/7059. What is the common denominator of 37/22 and l?
198
Suppose u = -0*u + 2. Suppose 340 = 3*c - 7*r + 2*r, -3*r + 12 = 0. Suppose 40*o = 35*o + c. What is the smallest common multiple of o and u?
24
Let x = -559039/36 + 15527. Find the common denominator of x and 55/18.
36
Let c = -1 + 0. Calculate the least common multiple of 23 - (c + -2)/(-3) and (24/(-22))/(34/(-561)).
198
Let t(f) be the first derivative of f**4/4 + f**3/3 + f**2/2 + 22*f - 1. Suppose 13 = 5*a - 17. What is the smallest common multiple of t(0) and a?
66
Suppose 0 = -2*c + 4. Suppose c*i + 3*x - 10 = 0, -4*x = 5*i + 6 - 38. Let y(j) = -8*j + 15. Find the common denominator of y(i) and -42.
1
Let n = 527 + -505. What is the least common multiple of 28 and n?
308
Suppose 0 = -4*n - n + 35. Suppose 5*p - 4 = r + 3, 2*r + 5*p - 16 = 0. What is the least common multiple of n and r?
21
Let a = 18 - 16. Suppose 0 = -0*w - a*w + 26. Let g = w + 9. What is the smallest common multiple of g and 20?
220
What is the common denominator of 89/202 and ((-280)/(-720) + 2/(-9))*-11?
606
Suppose 36 = 4*w - 0*w. Let b = 63 + -59. Suppose 15 + w = b*t. What is the lowest common multiple of t and 2?
6
Let q(w) = 8*w + 4. Let x be q(1). Find the common denominator of -83/8 and 3/(-15) - (-3)/x.
40
Let b = -2128357/397820 + 1/19891. What is the common denominator of 87/82 and b?
820
Let c = 45 - 26. What is the common denominator of ((-24)/4)/((-32)/c) and -57/10?
80
Suppose 12 = -0*t - 2*t. Let u(f) = -f**3 - 6*f**2 + f + 7. What is the least common multiple of 9/(-15) + 96/10 and u(t)?
9
Let u(g) = -4*g. Let a be u(-1). Suppose -t + 1 - a = b, 5 = -t. Find the common denominator of 39/7 and (172/6)/(b/(-1)).
21
Suppose -l - 2*h - 4 = -2, l - 2*h = 18. What is the lowest common multiple of l and 322?
1288
Let h(w) = -4*w - 3. Let r be h(-3). Let y = -8 + r. Suppose -2*t = y - 3. What is the least common multiple of t and 11?
11
Let g = -3584 + 85981/24. What is the common denominator of -95/12 and g?
24
Suppose 0 = -l - 2*l + 21. Suppose 5*q - 4*p = 33, l = 4*p - 5. Let o = 3094 + -3087. Calculate the lowest common multiple of q and o.
63
Let d(q) = 2*q + 0*q + 2 - 11*q - q**2. Suppose 3*b - 14*b = -88. Calculate the lowest common multiple of d(-5) and b.
88
Let t be (-22)/7689*(-16322)/(-8). Let u = -444563/233 - -1908. Let p = u + t. Find the common denominator of -41/12 and p.
12
Let y = 24231 - 823767/34. Calculate the common denominator of -32/323 and y.
646
Let p(o) = -8*o - 30. Calculate the least common multiple of 20 and p(-6).
180
Let w = -62 - -76. What is the smallest common multiple of w and 22?
154
Let o = 6911/8 - 867. Calculate the common denominator of 20/41 and o.
328
Suppose -5*y + 5*o = -55, y + 2*y + 3*o - 15 = 0. What is the lowest common multiple of y and 26?
104
Suppose i - 5*i - 32 = 0. Let j = 19 + i. Calculate the smallest common multiple of 1 and j.
11
Let i = -1493/42 + 124/7. Let h = 493/5 - 7423/80. Let l = 17/80 - h. Find the common denominator of l and i.
30
Let y = 52/7 - 503/63. Calculate the common denominator of y and (-40)/15 - (-3 + 9/6).
18
Let s = -152 - -163. Suppose -c + 35 = 3*c - z, -z = 3*c - 21. Suppose p - c = -u, 4*p - 20 = u - 4*u. What is the smallest common multiple of s and u?
132
Let r = -16913/5968 + 8/373. Find the common denominator of 85/124 and r.
496
Let l = 591433/82425 + 383/471. Let p = 53/50 - l. Calculate the common denominator of p and 1/9.
126
Let w(n) = 23*n + 5. Let z be w(-9). Calculate the common denominator of 33/62 and (-23)/(-276)*z/3.
558
Suppose 123 - 875 = -2*a. Calculate the common denominator of a/192 - 2/3 and 49/27.
216
Calculate the smallest common multiple of (-2 - 16/(-20))/(4/(-10)) and 141.
141
Let h be (6/5)/(6/3855). Let d = 2333/3 - h. Let b =