
Let n be ((-2)/(-3))/(8/120). Suppose -4*j = -5*p - n, 0*j + 5 = j. Let d(g) = 2*g**2 - 5*g - 5. What is the least common multiple of d(7) and p?
58
Let c be -1*(-5 + -78 - 0). Suppose -4*l + 3*u + 162 = -c, l + 3*u = 65. What is the smallest common multiple of l and 10?
310
What is the common denominator of ((-280236)/2079)/22 + 4/(-42) and -14/915?
2745
Suppose -325 = -4*d + o, 15*d - 4*o = 16*d - 60. Calculate the lowest common multiple of 296 and d.
2960
Suppose 129 = 4*s - 239. Let z(h) = -h**3 - 5*h**2 - 23*h - 97. Calculate the lowest common multiple of s and z(-5).
828
Suppose -5*z + 8 + 2 = 0. Find the common denominator of 1*287/154 + z and 19/34.
374
Calculate the common denominator of (-13)/(-16380)*-4535 - -1*(-4)/(-7) and -71/2628.
2628
Let c = 2496646 - 4254284657/1704. Find the common denominator of 149/6 and c.
1704
Let z = 145673/18 + -8099. What is the common denominator of 70/(-24) + 2/(-4) and z?
36
Suppose -2*c - 2*c = -1404. Let g = -1482769/20 - -74137. What is the common denominator of g and (-4)/10 - c/310?
620
Suppose 0 = 4*y - 4*q - 68, 8*q = -y + 13*q - 3. What is the smallest common multiple of y and 113?
2486
Let j be 744*6/27 + (-9)/27. Find the common denominator of (57 + 4)*(3/j)/1 and -24/7.
385
Let l(j) = j**3 - 9*j**2 + 8*j + 2. Let q be l(8). Suppose 5*b = -5*g + 40, q*b - 10 - 13 = 5*g. What is the lowest common multiple of -6*b/12*-2 and 4?
36
Let k(j) = j**3 - j**2 - j + 43896. Let t be k(0). Let q = t - 73419. Let w = -1151468/39 - q. Find the common denominator of w and -49/24.
312
Suppose -2*i = -5*v - 157, -4*i + 5*v + 76 = -233. Calculate the smallest common multiple of 614 and i.
23332
Let r(q) = 20*q**3 - q**2 - q - 2. What is the smallest common multiple of 760 and r(2)?
760
Let q = -2210317/31564536 - -33/67016. Calculate the common denominator of q and 49/12.
1884
Let x(q) = 49*q**2 + 208*q - 30. What is the smallest common multiple of x(-5) and 390?
12090
Let m(x) = -28*x + 280. Let a be m(10). Suppose a = -30*v + 198 + 222. Calculate the least common multiple of v and 66.
462
Let h be (153/(-6))/((-2)/(-44)). Find the common denominator of (-16)/(-30)*h/(-44) and ((-52)/(-10) - 6) + 178/(-40).
20
Let p(g) = 17*g - 793. Let c(q) = -q + 3. Calculate the smallest common multiple of p(49) and c(-7).
40
Suppose 5*k + 1 = 1. Suppose 7*x - x - 240 = k. Calculate the smallest common multiple of 76 and x.
760
Let n = 2/3015 - 18244/232155. Find the common denominator of 8/119 and n.
1309
Suppose 675*m + 1286424 = 777*m. What is the least common multiple of m and 10?
63060
Suppose 310 = 8*x - 10. What is the smallest common multiple of 135 and x?
1080
Let m(z) = 86*z + 88. Let d be m(-7). Let p = 5649/11 + d. Calculate the common denominator of p and 65/94.
1034
What is the common denominator of (28/22)/((-16)/(-7)) and (19/20 + -2)*(-3015)/(-402)?
88
Calculate the common denominator of -65/2994 and ((-288)/(-126))/((-69860)/98).
14970
Calculate the common denominator of 79/30 and (-2 + 3 + 254/(-256))/((-2)/380).
960
What is the common denominator of 47/11*((-190)/(-7) - 27) and 27/616?
616
Let h(y) = 2*y**2 + 17*y - 2. Let a be h(20). Let r = -25007/22 + a. Calculate the common denominator of (-245)/28 + 2/12 and r.
132
Let r = 78137/10 + -7820. Let q = 228565/399 + -10880/19. Let n = 19573/2394 + q. Find the common denominator of r and n.
90
Let h(i) = -i**3 + 2*i**2 + 5*i - 4. Let y be h(-4). Let j = y - 85. Let d = -12 - j. Calculate the lowest common multiple of 10 and d.
10
Let v = 152 - 148. What is the lowest common multiple of 20 and v/(-22) - (0 - 180/22)?
40
Let y(q) = 3*q**2 - 7*q + 4. Let s = 856 - 823. Calculate the lowest common multiple of y(4) and s.
264
Let h be (1/((-2)/(-1116)))/2. Suppose h = -3*b - 15. Let y = b - -182. Calculate the lowest common multiple of 8 and y.
168
Let z = -17382 + 17386. What is the smallest common multiple of z and 9725?
38900
Let k(x) = -6*x + 14. Let t be k(-10). Let f = 112 - t. Let d = -33 + f. What is the lowest common multiple of d and 6?
30
Let m(k) = -k**3 - 42*k**2 + 40*k - 119. Let j(t) = t**3 - 4*t**2 - 8*t + 1. What is the lowest common multiple of m(-43) and j(7)?
460
Suppose -5*q + 5 = 0, -6 = -h - 4*q + 1. Suppose 5*t = 8*t - 6. Suppose -2*p = -t - 28. Calculate the smallest common multiple of h and p.
15
What is the common denominator of ((-66)/(-40) - 3)/((-189)/45) and ((-192)/(-18) + -7)/((-2)/(-21))?
28
Let l = 90 - 63. Suppose -d = -14*v + 16*v + 8, 2*d + 17 = -5*v. What is the lowest common multiple of d/51 + 24433/901 and l?
27
Suppose -10*l + 231 - 71 = 0. What is the smallest common multiple of (-1)/3*(-12)/(-18)*-54 and l?
48
Suppose i + 3*f = -8, -i - 25 + 23 = 2*f. Calculate the least common multiple of i and 299.
2990
What is the common denominator of (3 - (-7725)/(-2160)) + (-3)/((-81)/12) and 187/270?
2160
Find the common denominator of 15/2 and 504/108 - (-700646)/(-150240).
25040
Suppose 18 - 66 = -2*k. Let n = 2244 - 1097. Let y = 1159 - n. What is the least common multiple of y and k?
24
Let p = -106937/12 - -8916. Suppose f = -3*c - 1, -4*c - 14 = -5*f - 0*c. What is the common denominator of f*(0 + (-166)/(-8)) and p?
12
Let g = 705 - 699. Suppose g*i - 1260 = -22*i. Calculate the lowest common multiple of i and 81.
405
Suppose 24*v - 12*v = 5556. Let z = v + -141. Calculate the smallest common multiple of 20 and z.
3220
Let i = 6 + -1. Suppose 3*k - 42 = -3*s, 0 = 19*s - 23*s + 5*k + 47. What is the lowest common multiple of s and i?
65
Let w = -15907 + 15983. Calculate the least common multiple of w and 232.
4408
Calculate the common denominator of (46490/(-1512))/(-5) + 72/252 - 6 and -31/408.
3672
Let f = -28873655483/42 - -687433865. Let n = -34121 - f. What is the common denominator of -145/12 and n?
84
Suppose -4200 = 58*g + 53*g - 121*g. What is the smallest common multiple of g and 35?
420
Suppose -5*g - 12*k + 7*k = -211025, 0 = 4*g + 2*k - 168812. Let o = g - 1772333/42. What is the common denominator of 61/54 and o?
378
Let i(m) = 2*m - 18. Let h be i(8). What is the least common multiple of 195 and (-90)/(-15)*(-1)/h - -6?
585
Let o be -5 + (-2 - 2) + 0. Let g(c) = c**2 + 7*c - 15. Let u be g(o). What is the common denominator of 3/(-10)*-309*u/(-81) and -57/2?
30
Let i = 1228/15 - 68501/840. What is the common denominator of i and -45/4?
280
Let w be (1102/3154)/(((-35)/26664134762)/1). Let k = 266182415 + w. Let c = 1/415 - k. What is the common denominator of 48/11 and c?
77
Suppose 8 = 10*f - 8*f. Suppose 3*o + 26 = j, 43 = 4*j - f*o - 29. Suppose 0 = 5*r - 10, 3*r = l - r - j. Calculate the smallest common multiple of l and 3.
66
Let i = 13299 - 2477. What is the least common multiple of 14 and i?
10822
Suppose -3*t + 43 = 4*k, -2*k - 5*t = -0*t - 39. Let a(o) = o**3 - 14*o**2 + 38*o - 53. What is the least common multiple of a(11) and k?
14
Let b be 4/(-32) - 4329858/(-336). Let h = b - 12881. What is the common denominator of h and -83/10?
70
Let q = -61465/24234 - 34/577. What is the common denominator of 11/(-264)*-121 + -4 + 1 and q?
168
What is the common denominator of (-12)/(-5940)*-114*((-9)/(-2))/3 and 111/310?
3410
Let b = -8459/2820 + 418/141. Find the common denominator of b and -139/120.
5640
Let m = -1419382 + 16840967464/11865. What is the common denominator of -151/18 and m?
71190
Let z = 58 + -53. What is the common denominator of 133/24 and (2512/(-2400))/(2/z)?
120
Let a = 2532 - 2483. Suppose 5*s = -2*o + 66, 80 = 5*o + 5*s - 70. Calculate the smallest common multiple of a and o.
196
Suppose -3592 = -3*h + y, 12*h - 5*y = 11*h + 1216. Let v = h + -1179. Let c(i) = i**3 + 6*i**2 - 2*i - 2. Calculate the lowest common multiple of c(-6) and v.
170
Calculate the common denominator of 111/112 and ((-1 + 18)/(62 - -3))/(979 + -1035).
7280
What is the common denominator of (-442)/(-216) + (-4)/16 and 438*7/3024 - (3 + -2)?
216
Let v be (-2)/9 + (-301)/63. Let p be 0 + (4 - -1371)/v. What is the common denominator of 35/8 and ((-10)/p)/((-4)/205)?
88
Let x = -13760651/196 + 70207. What is the common denominator of -47/60 and x?
2940
Let y(r) = r**2 + 15*r + 6. Let u be y(-8). Let j be u/(-55)*3/(-6). Let x = 1099/22 + j. Calculate the common denominator of x and 55/2.
2
Calculate 