1/(-4) and j?
6
Let u(g) = -111*g + 3. What is the least common multiple of u(-3) and 22?
3696
Let q = 2533/2 - 5395/4. Let b = q + 414/5. What is the common denominator of b and (1 - 0) + (-484)/80?
20
Let m(n) = 32*n - 750. Calculate the lowest common multiple of ((-12)/10)/((-3)/190) and m(24).
684
Suppose -5*m = -2*c - 12, 7*m - 3*m - 5 = -3*c. Suppose -2*o - m*o + 16 = -3*n, o - 3 = n. Calculate the lowest common multiple of o and 35.
35
Let y be -2 + 26330/7232 - 6/3. Let a = -369/113 - y. Find the common denominator of a and -71/6.
96
Let t = 434 - 306. Calculate the lowest common multiple of t and 10.
640
Let n = 77 + -67. Calculate the lowest common multiple of 1 and n.
10
Let j = 21/250 + 8083/500. Find the common denominator of j and -40/131.
524
Let j = -3145 + 25109/8. Let q = -38719 + 1122727/29. Let o = -2229/406 - q. What is the common denominator of o and j?
56
Suppose 0 = -2*k + 5*z + 39, -15 = 8*z - 5*z. What is the lowest common multiple of k and 77?
77
Let i(l) be the first derivative of -l**4/4 - l**3 + 5*l**2/2 + 6*l - 14. What is the lowest common multiple of i(-4) and 2?
2
Suppose -u - 6*u = -28. Suppose -u*j + 6 = -m + 1, 0 = -2*j + 5*m + 7. Calculate the smallest common multiple of j and 3.
3
Calculate the common denominator of 4/6 - (-325)/(-312) and -7/296.
296
Find the common denominator of (3/(-15))/(8/168) and (-228)/44*2/(-6).
55
Let k = -3190/3 - -70255/66. What is the common denominator of 2884/182*2/(-8) and k?
286
Let k(n) = -n**2 - 14*n - 22. Let p be k(-19). Let r = p + 134. Calculate the smallest common multiple of r and 6.
102
Let g = -85927/18 - -4776. Let h be 39598/(-4) - (-1)/2. Let r = -79093/8 - h. Find the common denominator of r and g.
72
Let w = 84109/252 + -2328/7. Calculate the common denominator of w and 55/54.
108
Let g(k) = k + 11. Let q = -30 + 21. Let l be g(q). Suppose -l*d + 30 = -14. Calculate the least common multiple of d and 12.
132
Suppose -16 = -p - 3*p. Suppose -3*g = -p*g. Find the common denominator of -4 - ((-460)/72 - g) and 1/12.
36
Let l be 26 - (4 - 3)/(-1). Let b = l + -9. Calculate the common denominator of 55/3 and (7/b)/((-3)/9).
6
Let o be -3*2*-2*(-422)/(-24). Let y = 212 - o. Suppose -2*r = r - 18. What is the lowest common multiple of y and r?
6
Let g(f) = -f - 51. Let v be g(-16). Find the common denominator of -3 - (1 + 325/v) and -44/5.
35
Let f(u) = -2*u + 2. Let a be f(5). What is the common denominator of (-3)/2 - (-34)/a and (-6)/21 + (-459)/(-308)?
44
What is the lowest common multiple of (-24)/(-56) + 5056/28 and 4?
724
What is the lowest common multiple of 32 and (-36)/(3/(3/(-2)))?
288
Let g(w) = -3*w - 9. Let s be g(-7). What is the common denominator of (-6)/2 - (-3)/s and -5 - -1 - ((-145)/(-100) + 0)?
20
Let j = -7 - 9. Let r = 24 + j. What is the least common multiple of r and 38?
152
Let i = 46/411 + -7093/18084. Find the common denominator of 167/42 and i.
924
Let b = 6/385 + 30403/770. Suppose -d = 3, 2*i = i + 4*d + 15. Calculate the common denominator of b and (138/96*3)/(i/2).
8
Let h be (-4)/(-14) - (-16320)/(-35). Calculate the common denominator of h/120 - (-4)/12 and (-1 + 0)/(-3)*(-1134)/144.
40
Let c(o) = -o**3 - 12*o**2 + 13*o + 2. Let i(g) = -g + 3. Let n be i(0). Suppose -n*j + 28 = j. What is the lowest common multiple of j and c(-13)?
14
Let h = 8505/2138 - -1065797/778232. Let a = h - -1/104. Find the common denominator of a and 73/4.
28
Let d = -257/26 + 10. Let f = 5470 - 54657/10. Find the common denominator of d and f.
130
Let w(d) = -15*d + 78. Calculate the least common multiple of 3 and w(5).
3
Let w(r) = r**3 + 6*r**2 + 2*r + 3. Let z be w(-6). Let n = 13 - z. Calculate the lowest common multiple of (-32)/(-18) - 2 - 438/(-27) and n.
176
Let z = 97460/21 + -4642. Calculate the common denominator of z and 71/219.
1533
Let a = -117 + 99. Calculate the common denominator of a/63 - (0 + 199/112) and 37/18.
144
Suppose 4*q - 3*n - 4 = 2, 5*n - 7 = q. Calculate the smallest common multiple of q + 17 + -3 - -3 and 22.
220
Let g = -24 - -20. Calculate the common denominator of (4/11)/g*19 and -115/14.
154
Suppose -5*m + 9 = 4*q - 8, -3*q = -2*m - 7. Calculate the least common multiple of m and 1246.
1246
Suppose 0 = -2*s + 2*c - 44, 8 = c + c. Let o = s - -27. Suppose -o = -3*j - 3. Calculate the smallest common multiple of j and 1.
2
Let l = -293549/25 + 11740. Calculate the common denominator of -53/45 and l.
225
Let h be (-3)/(-2)*-801 - 2. Let m = h - -1230. Let b = 7703/394 + -10/197. Calculate the common denominator of m and b.
2
Let y = -16/99 - 5138/1287. Let o = 617/130 - y. Let w = -9890 - -118529/12. Calculate the common denominator of w and o.
60
Let c = -22255 - -265937/12. Let f = 207/2 + c. Find the common denominator of 86/21 and f.
84
Suppose 0*n + 6*n - 6 = 0. Find the common denominator of -2*(-1)/(16/178) and -4 + n + (-244)/56.
28
Find the common denominator of 137/108 and (-13)/((-325)/(-10)) + (-34)/(-18).
540
Suppose 3*a = 3*v - 3, 0 = -3*v - 2*v + 5. Let g(t) = -t**3 - t**2 - 36*t + 6 - 5*t + 40*t. What is the smallest common multiple of g(a) and 16?
48
Let f = 25650 + -16279. Let a = -225001/24 + f. Calculate the common denominator of a and (-2)/(-7) + (-733)/140.
120
What is the common denominator of 3 + -4 + (-35)/588*-44 and -80/33?
231
Let f = -45 + 37. What is the least common multiple of 59/4 + (2 - (-14)/f) and 33?
165
Let j(f) = -4*f - 1. Let s be j(-1). Let r = 9 - s. Suppose 5*g = -0*m + 3*m - 73, 0 = 3*m + g - 43. Calculate the lowest common multiple of m and r.
48
Find the common denominator of -121/18 and (-1672)/4059 + 2/(-9).
738
Find the common denominator of 87/52 and 19/(-3)*(-7)/(364/(-16)).
156
Calculate the common denominator of -56/9 and 107/(-6) + (-9)/(-3).
18
Let h(j) = -3*j - 48. Calculate the smallest common multiple of h(-21) and 39.
195
Let k(r) = r - 9. Let o be k(12). Let b = -1 + o. Find the common denominator of 21/8 and b + ((-170)/22 - -1).
88
Suppose -3*s + 124 = 4*o, 3*o + 53 = s + 2*o. Calculate the common denominator of ((-100)/s + -4)*-1 and 97/16.
48
Let t be (-21)/2*96/9. What is the common denominator of (-120)/t*21/2 and 19/6?
12
Let o = -2765 - -44171/16. Calculate the common denominator of o and 73/14.
112
Let m(b) = -b**3 + 10*b**2 + 11*b + 1. Suppose 3*v + 5*t - 16 = 0, -2*v - 5*t + 0*t + 4 = 0. What is the least common multiple of v and m(11)?
12
Let i = 15986263/65 + -245934. Let h = -44693/4940 + i. What is the common denominator of h and -119/6?
228
Let v be (2*1)/(15/30). What is the smallest common multiple of (1 - -18)*1 + 1 and (1 + v - 4)/(2/12)?
60
Suppose 4*x - 2*x = h + 2021, -x = -5*h - 1033. Let b be x/22 - 2/(-11). Suppose -3*g + 8 + b = 0. Calculate the lowest common multiple of 10 and g.
90
Let c(p) = 4*p**3 - 6*p. Calculate the lowest common multiple of 64 and c(2).
320
Let n(m) = 2*m + 7. Let g be 5/(-4) - (-21)/4. Calculate the smallest common multiple of n(g) and (-18)/(-12) - 2/4.
15
Let o(s) = s + 10. Let w be o(-8). Suppose 5*j + v - 54 = 0, -2*v + 40 = 4*j + w*v. What is the lowest common multiple of j and 5?
55
Suppose 0 = 28*k - 29*k + 33. Let q(c) = 4*c**2 - 4*c + 3. Calculate the smallest common multiple of q(3) and k.
297
Let r = -9329097/110 + 84811. Calculate the common denominator of 139/30 and r.
330
Let r = -33751/14352 - 3/1196. What is the common denominator of 13/54 and r?
432
Let w(c) = 19*c**2 - 5*c + 5. Let v be w(6). Let g be v*((-16)/4)/(-4). Let j = g + -1413/2. Calculate the common denominator of 97/2 and j.
2
Suppose -54*w = -w - 4770. What is the smallest common multiple of 30 and w?
90
Suppose -16 = c + 4*b, 2*c + 4 - 17 = b. Let k = 6/307 + 20545/1228. What is the common denominator of k and 47/8 - 2/c?
8
Suppose -6 = 4*k - 14. Let f(n) = -13*n + 22*n - n**2 - 10 + k. Find the common denominator of f(12) and 15/8.
8
Let p(j) = 4*j**2 + j + 1. What is the smallest common multiple of ((-1)/2*2)/((-1)/9) and p(-1)?
36
Let p(j) = -16*j + 2. Let x(c) = 1. Let t(g) = -p(g) + 5*x(g). Let w be t(-2). Let d = -7 - w. What is the lowest common multiple of 20 and d?
220
Let d = 2/135 - 4463/540. Calculate the common denominator of -131/30 and d.
60
Calculate the common denominator of ((-147)/(-14) - 5)/(-8 - 2) and 