 0. Suppose 4*v = m*u - 80, -2*u + 5*u - 2*v = 64. Calculate the common denominator of (88/2)/(-2)*u/552 and 89/2.
46
What is the common denominator of (-1)/((-12)/504*6) + 5246/(-728) and 29/728?
728
Suppose 3*o - 733 = -655. Let t = -268 + 277. What is the lowest common multiple of t and o?
234
Let z = 362/3 + -139. Let l = -21486521/246 - -87343. Calculate the common denominator of z and l.
246
Let w be ((-25)/(-33))/((-8)/(-12)). Let a = w - 668/99. What is the common denominator of 85/6 and a?
18
Find the common denominator of 25149/(-1010)*5/126 and -125/42.
84
Suppose -9*m + 1936 = 5*s - 8*m, s + 5*m - 368 = 0. What is the smallest common multiple of 38 and s?
7372
Let o be 2/7 - (-738564704)/(-28896). Let h = o - -25559. Calculate the common denominator of h and 89/15.
645
Suppose -12*u = 48345 - 48693. Suppose -97 = -5*t - w, w + 2 + 1 = 0. Find the common denominator of u/261*453/t and 33/2.
60
Let q = 12556 - 10586. Calculate the lowest common multiple of 85 and q.
33490
Let x = -16388/7 + 9353/4. Find the common denominator of x and (21/(-28))/((-36)/286).
168
Find the common denominator of (9/216)/(21/2044) and -73/162.
162
Let a = -3527 + 10538/3. Let p(d) = -d**3 + 5*d**2 - 6*d + 6. Let b be p(3). Calculate the common denominator of a and 3/b - (-220)/(-216).
27
Suppose 74*q - 3020 + 1036 = 2456. Calculate the lowest common multiple of q and 25.
300
Let m = -833 - -1523. What is the common denominator of 99/2 and 0 + (7 - m/48)?
8
Let m = -215273/94518 + -1/5251. Calculate the common denominator of m and -19/100.
900
Let g(t) = -t**2 - 16*t - 3. Let s be g(-15). Let l be 3/((s/(-64))/((-1)/(-4))). What is the common denominator of -41/12 and -5 + 214/8 + l?
12
Calculate the lowest common multiple of ((-2)/24*-4)/((-24)/(-100980))*2 and 850.
28050
Let d(u) = u - 9. Let h be d(9). Suppose 2*n + h*y + 8 = 4*y, 5*y - 24 = -n. Let r = 1261 - 1220. Calculate the least common multiple of r and n.
164
Let d be 104 + -2 + 4 - -5. Find the common denominator of d/(-54) - 45/15 and -109/20.
180
Suppose 121*d - 6688 = 110*d. Suppose 0 = d*p - 601*p - 28. Calculate the least common multiple of p and 96.
96
Let x = -958247/56 + 17112. What is the common denominator of ((-9)/6)/(18/(-24)) + (-410)/(-480) and x?
336
Let a = -7476429/608 - -98373/8. Find the common denominator of a and 67/152.
608
Let u = 52 - 57. Find the common denominator of (361/u - 8/10)/35 and -1/15.
105
Suppose -4*o - 2*h = -3*o + 3, o - 2*h = -19. Let l = o - -60. Let d = 51 - l. What is the smallest common multiple of 22 and d?
22
Calculate the common denominator of (-60)/(-175)*80/42 and (-28)/2 - (-2838)/220.
490
Let o = 8 - 11. Let x(v) = -v**2 + 10*v + 1. What is the smallest common multiple of (21/o + 4)/1 - -25 and x(9)?
110
Let l = 330 - -646. Calculate the least common multiple of l and 122.
976
Let m(t) = -4757*t - 7795. Calculate the lowest common multiple of 12 and m(-7).
76512
Suppose -27*g + 4*g + 276 = 0. Calculate the least common multiple of g and (-189)/(-6) - 6/4.
60
Suppose 3*c = 4*k - 21 - 9, 3*c = -5*k - 3. Calculate the smallest common multiple of 21 and k.
21
Let h = 476 - 473. What is the common denominator of 76/15 and (1288/(-432))/((-11)/h)?
990
Suppose h + 82*w = 87*w + 74, 2*w + 36 = 2*h. Let v = 41 - 29. What is the smallest common multiple of h and v*(-1 + (-6)/(-4))?
12
Suppose 8*l - 10*l + 1 = -d, 0 = -3*l + 3. What is the least common multiple of (d - 7)*(-9)/2 and 98/(-4)*48/(-28)?
378
Let j = -515655863/921 - -559887. What is the common denominator of -111/3070 and j?
9210
Suppose -f - 53 = 5*s, -65 = -0*s + 5*s + 5*f. Find the common denominator of -83/8 and (4218/185)/((-279)/s).
744
Suppose -5*t - 2393 = -o - o, t - 4*o + 475 = 0. Find the common denominator of 4*(-6)/54 - t/(-198) and -145/186.
2046
Suppose 5*z - 4*d = 60, -d + 90 = 3*z + 37. Let n(j) = -220*j - 4. Let g be n(-1). Suppose 252 = f + g. Calculate the smallest common multiple of z and f.
144
Let v be 4 - (-1)/(7/(-56)). What is the common denominator of 103/72 and 2/4*v - 500/48?
72
Let r(x) = x**3 - 4*x**2 - 17*x + 32. Let s be r(6). Suppose -g - s = 2*d, 0*g - 4*d + 2 = 3*g. Calculate the lowest common multiple of g and 15.
30
Let i = -45/799 - -96587/111860. Calculate the common denominator of i and -199/420.
420
Let l(m) = -m**2 + 4*m + 2. Suppose 5*s - 8 = 12. Let z be l(s). What is the lowest common multiple of 9 and ((-20)/(-16))/(z/24)?
45
Let t = -413821/445860 + 9/24770. What is the common denominator of t and 29/1540?
13860
Let k be 19/(-19)*178*-4. What is the common denominator of 1 + -5 + 8/((-128)/k) and 49/8?
8
Let k = -159 - -148. Let q(u) = -u**2 - 7*u + 47. Calculate the smallest common multiple of 120 and q(k).
120
Let a = 4166 - 4130. What is the least common multiple of a and 162?
324
Let r be (-5)/5 - (-147)/(-3). Let o be 4/5*r/(-20). What is the lowest common multiple of 4*((-5)/o)/(-5) and 9?
18
Find the common denominator of 115/132 and (-3)/4 + 4/(-99)*-39.
132
Suppose 5*r + 5371 = 2*m, -2*r - 2*r + 5380 = 2*m. What is the lowest common multiple of (m/30)/7 - (-2)/10 and 15?
195
Let m = -1042535/63 - -16547. Calculate the common denominator of 44/4311 and m.
30177
Let b = 2/267083447 + 1794533675377/669845285076. Let h = 50037 - 3803125/76. Let a = h + b. Calculate the common denominator of a and 59/2.
66
Let b = 69409/6 + -11391. Let t = 589/3 - b. Calculate the common denominator of t and 20/10 - 116/27.
54
Let x be 112/14 - (0 + 0). Let f = -239671/21462 - -2/3577. What is the common denominator of f and x + -5 - (61/10 + -1)?
30
Let c = -172/203 + 50593/54201. Let j = 67593775/4582628 - 3/1145657. What is the common denominator of c and j?
1068
Let o(k) = k**3 - 5*k**2 + 9*k + 3. Calculate the lowest common multiple of (594/(-36) + 15)/((-2)/192) and o(5).
144
Suppose 2*n = 2*n + n. Let m = 35 - n. Let o = m - 28. Calculate the least common multiple of o and 6.
42
Let g = -404/9 + 3421/72. What is the common denominator of g and -73/150?
600
Suppose 66*y = 62*y - 8. Let t be -6*(-1)/y*(6 + -2). Let g = 18 + t. Calculate the lowest common multiple of g and 12.
12
Suppose 14*g - 80 = -6*g. Suppose -b - 5*t - g = 14, 4*t = 4*b. Calculate the least common multiple of 102 and -1 - (-34)/b*(-3)/2.
816
Let b = 15 + -21. Let f = -11653/1575 - -972/175. Find the common denominator of f and b.
45
Let k(x) = 21*x**2 - 40*x**2 - 7 + 15*x + 23*x**2. What is the least common multiple of k(8) and 9?
369
Let f = -72/163 + 19937/41076. Calculate the common denominator of -49/306 and f.
4284
Calculate the least common multiple of 429 and (270 - 10) + 11 + 2.
3003
Let t be 8/((-48)/121677)*(-11)/18. Let r = t + -12394. Find the common denominator of r and 13/14.
252
Suppose 3*b - 4 = -19. Let g(t) = t**2 + 2*t - 12. Let i be g(b). What is the least common multiple of 28 and 16 - (i/(-1) + -1)?
140
Suppose -2*g = 2*g - 16. Suppose k = 2*p - 2, -3*k - 5 = -4*p - p. Calculate the smallest common multiple of g and (-15)/90 + (-74)/(-12) - p.
20
Suppose 2*t + 8 + 2 = 2*r, 0 = 5*t + 20. Let q be 388/(-16)*(r - 5). Let o = -73 + q. What is the least common multiple of o and 18?
72
Suppose 5*r - 3*a = -7*a - 9, 0 = 4*r - 5*a + 40. Let m = r - -6. Find the common denominator of 26/(-14) - (-11)/(-44)*-12 and m.
7
Let a be ((-6)/(-4))/((-150)/168 + 1). Let s(w) = -5*w + 7. Let f be s(a). Let q = 73 + f. What is the least common multiple of 112 and q?
560
Calculate the common denominator of ((-12978)/112)/9 - 3/(-3) and -79/11994.
47976
Let z(b) = -b**2 - 22*b - 27. Let i be z(-9). Let n = i - 86. Calculate the least common multiple of 48/60*(-10)/n - -6 and 60.
60
Let h = -4939 - -5014. What is the smallest common multiple of 435 and h?
2175
Let d(y) = -y**2 - 2*y + 1. Let k be d(-3). Suppose a - 24 = 16. Calculate the least common multiple of a and (-1)/k*64/2.
80
Let i = -42549/19964 + 177/92. What is the common denominator of -12/1519 and i?
1519
Find the common denominator of (481/91 + -5)/(36/(-763)) and 17/162.
162
Let n(m) be the third derivative of m**6/120 - m**5/30 - m**3/6 + 33*m**2. Let c be n(2). What is the smallest common multiple of 20 - (-4 - 2/c) and 22?
22
Let q(d) be the first derivative of 23*d**2/2 - 34*d + 63. Calculate the smallest com