3/(-4290) - 2/a.
2266
Suppose 3*i + 123 = 3*a, -i - 127 - 90 = -5*a. Suppose -5*t = k + 2, -2*k + 32 = -6*t + 4*t. What is the lowest common multiple of k - 1/(1/4) and a?
396
Let z(a) = 4*a**2 - 36*a - 5. Let b(j) = 11*j + 1. Let t(l) = 3*b(l) + z(l). Let x = -3 - -5. Calculate the least common multiple of t(x) and 8.
8
Let i = -3487 - -5827. Calculate the common denominator of -37/25 and (-2523)/i + (4 - 91/28).
975
Calculate the common denominator of 34/3509 and ((-7)/55 + 15/(-25))/((-2262)/130).
10527
Let l = 1/345524 + -5139741/24704966. Calculate the common denominator of -87/130 and l.
2860
Suppose 0 = 2*q - 57 + 11. Suppose -18*s + q*s = 200. Calculate the lowest common multiple of 5 and s.
40
Suppose 5*p = 29 + 51. Let a = -68760 + 68806. What is the smallest common multiple of a and p?
368
Suppose 21*v = 16*v + 590. Let l = v - 108. What is the smallest common multiple of l and 27?
270
Let m be -10 - (-20)/4 - 5. Let w(f) = 4*f**2 + 29*f - 11. Calculate the lowest common multiple of 30 and w(m).
990
Suppose 25*r = -98*r + 109846 + 88676. What is the smallest common multiple of r and 12?
3228
Let r = 7004 + -6998. What is the least common multiple of r and 627?
1254
Let w be (2/(-54)*-7)/(3289/(-275816)). Let q = 1841/297 - w. Let k = 278/13 - q. Find the common denominator of 53/4 and k.
36
Let o be (5/20*14)/(1/2). Suppose 6613 = -5*h - 3*x, -o*h - 3*x + 1337 = -8*h. Let n = -2597/2 - h. Calculate the common denominator of 31/4 and n.
4
Suppose -5*f = -5*c - 310, 4*f - 5*c + 6*c - 258 = 0. Suppose 32 + f = 16*g. What is the lowest common multiple of g and 312?
312
Suppose 39*n - 456780 = 27*n. Let u = n + -1712831/45. What is the common denominator of -4/5 and u?
45
Suppose -4*x + 1308 = -p, 113*x + p = 111*x + 660. What is the lowest common multiple of x and 656?
656
Let l(s) = 31*s + 355. What is the smallest common multiple of 5320 and l(-11)?
5320
Let r = 251 - 368. What is the common denominator of (-201)/r + (28/12 - 3) and 119/240?
3120
Let r(n) = -n**2 - 6*n + 12. Let p be r(-8). Find the common denominator of -71/32 and (8/4 + p)*83/8.
32
Suppose 4*h - 71 = 4*x - 359, x + 2*h = 78. Let o = 221 - x. Calculate the smallest common multiple of 9 and o.
441
Let a be 233*-18*((-2085)/(-24) + -1). Let p = 362391 + a. Let u = p - 2247. What is the common denominator of u and 95/4?
4
Let y = 2/16639 + -25087/70283136. Find the common denominator of y and 79/352.
4224
Let u = 6366 - 5505. Calculate the least common multiple of u and 93.
26691
Let g = 1582 - 1577. Suppose g*w = -4*y + 12 + 14, 0 = 5*w - 10. Suppose -2 = 4*x - 18. What is the lowest common multiple of x and y?
4
Calculate the common denominator of (-42)/52500*202/(-4)*1 and -19/125.
2500
Let q = -86 - -91. Suppose 4*f = 3*s + 417, 0 = -0*s + s - q. What is the common denominator of (-264)/f - (-3 + 1) and 17/30?
90
Let l = 63891323/480 + -133107. Calculate the common denominator of l and -157/240.
480
Let u = -363 - -473. What is the least common multiple of u and 50?
550
Find the common denominator of (-1217)/(-725) - (-1170)/(-702) and -7/24.
17400
Calculate the common denominator of 1083/5922 - 4/14 and 4/(-12)*(-14750)/(-236).
282
Let h = -5316896/82503 + 4/9167. Let w = h + 385/6. What is the common denominator of w and -29/22?
198
Suppose -145 + 685 = 5*f. Let q = f + -96. Calculate the smallest common multiple of 90 and q.
180
What is the common denominator of -55/348 and (-15)/(-14)*(-5)/(-6)*-3?
2436
Let k = -7314 + 950817/130. What is the common denominator of -49/390 and k?
390
Let p = 26 + 43. Suppose 15 = 5*s, 5*b + 0*b = -3*s + p. Let m(t) = -t**3 + 3*t**2 - t + 1. Calculate the lowest common multiple of m(2) and b.
12
Let x = -9311/24 - -1138/3. What is the common denominator of (9/24 - 3/(24/5)) + 19188/(-11856) and x?
152
Let h(j) = -5*j - 1. Let z be h(-2). Suppose 0 = -z*x + 12*x - 24. Let m(q) = -5*q - 114. Calculate the least common multiple of m(-24) and x.
24
Let f = -2976 - -8956/3. Let g = 237 - 10190/43. What is the common denominator of f and g?
129
Suppose 0*g - 233 = -d - 2*g, 5*d - 1220 = g. Let t be d/(2*1/2). Calculate the common denominator of t/(-112) - 6/42 and -31/10.
80
Let i be (-4)/(-18) - (1436818/(-468) + 0). Let v = i - 3071. Calculate the common denominator of 82/15 and v.
390
Let r(y) = 3*y**2 - 3*y + 5. Let x be r(0). Suppose -x*v - 10 = -3*q + 25, -20 = -2*q + 5*v. Calculate the lowest common multiple of q and 30.
30
Let m = -958 + 979. Calculate the least common multiple of m and 243.
1701
Suppose -17 = 4*q + 2*n - 197, 3*n - 6 = 0. Suppose 2*j + 3*j + 3*g = q, 5*j = 2*g + 29. Calculate the smallest common multiple of (-1)/(4/(-12)*1) and j.
21
Let q = -9700022449/26337 + 368304. Let a = q - 117047/166801. Find the common denominator of a and -87/2.
114
Suppose a + m = -3*m + 34, -2*a - 2*m + 80 = 0. Let u = 2 - -3. What is the least common multiple of u and (-10)/(15/(-63) + (-18)/a)?
15
Let c = -14 + 5. Calculate the smallest common multiple of 2/3 + (-3)/c and ((-4)/(16/18))/(4/(-8)).
9
Let n = -10675468421/4008 - -2663540. Calculate the common denominator of 107/4008 and n.
4008
What is the common denominator of 37/117 and (125 + -114 - 445/26) + 3/1?
234
Let b = 271 + 137. Let f = 2727/10 + -283. Find the common denominator of f and (-1092)/b - (-5 + 2) - 1.
170
Let f = -116 - 6. Let p = f - -236. What is the common denominator of -19/24 and 258/(-27) - (p/(-27) + 4)?
24
Let r(m) = -27*m + 7*m**2 - m**2 - 15 + 29*m. Calculate the smallest common multiple of r(3) and 10.
90
Suppose 15 + 15 = -2*s. Let g be 4/(-30) + 358/s. Calculate the common denominator of ((-73)/g)/(4/8) and -41/4.
12
Let g be 1/((-4)/(-32) - 0). Suppose g*c + 120 = 11*c. Let m = -20 + c. What is the lowest common multiple of 4 and m?
20
What is the common denominator of (1896/18)/4 - (1 - -1) and (3/(-27))/(3/(-21))?
9
Suppose 12 = 3*d - 3, d - 21 = -2*x. Suppose 51*h = 1677 + 8 - 53. What is the lowest common multiple of x and h?
32
Let v be 2/((-14)/12 - (-1 - 0)). Find the common denominator of 3/(-3)*110/56 and (-330)/v + (-4 - -1).
28
Let m = -191 - -185. What is the common denominator of (m/128)/(54/888) and 133/18?
144
Let i = 56035/67 - 2509/3. Let c = -323/1206 - i. What is the common denominator of 149/24 and c?
72
Suppose -4*r = 49*q - 44*q - 153, -2*r + 49 = -3*q. Suppose 11 = 8*p - 117. Calculate the least common multiple of p and r.
32
Suppose 0 = -3*x + 24 - 786. Let m be x/((-1708)/6 + 1 - -1). Let r = 12/53 + m. What is the common denominator of 81/20 and r?
40
Suppose -5*b + 57 + 3 = 0. Find the common denominator of (1 + (-23)/b)*2145/165 and -79/66.
132
Suppose p + 2*y + 41 = 0, -54 = 2*p + 5*y + 28. Let b = p + 40. Calculate the smallest common multiple of 12 and 8/16*(1 - 5*b).
12
Let c be (-1372)/(-77) - (2/(-11) + 0). Suppose i + c*i = 76. What is the smallest common multiple of 22/(-4)*(7 - 9) and i?
44
Let o = 302/31 - 82481/8928. What is the common denominator of 103/288 and o?
288
Let w = 3804 - 3539. What is the smallest common multiple of 848 and w?
4240
Let x = 2572066673/1450 - 1773839. Calculate the common denominator of x and -23/80.
11600
Let k(o) = o**3 - 15*o**2 - 14*o - 25. Let l(t) = 5*t**2 + 11*t + 18. Let a be l(-2). Calculate the smallest common multiple of k(a) and 42.
42
Let n(l) = l**3 + l**2 + 12*l + 7. Let f be n(-5). Calculate the least common multiple of (-490)/(-18) + 34/f and 9/2*40/6.
270
Let s = -13415/8 + 1683. Let q = 148817/12505 - 3/5002. Calculate the common denominator of s and q.
40
Let h = -1/564957 - 4009499824/2824785. Let f = h + 1415. Calculate the common denominator of 145/6 and f.
30
Calculate the common denominator of (286/(-39))/(18/39)*3/(-2) and 19/24.
24
Let l = -2313 + 7113. Find the common denominator of 184/l*-4 - 1/(-5) and -143/42.
1050
What is the common denominator of -59/2508 and 275/(-165)*(-4938)/(-1672) - -5?
2508
Let r = -281321/48 + 5860. Calculate the common denominator of r and 73/452.
5424
Suppose 7*j + 540 = 6*j. What is the common denominator of 1/30 and (-96)/j + (-2)/6?
90
Let m = 26205 - 18384. Calculate the common denominator of 73/14 and 66/m*102/(-8).
1106
Let w(i) = 3*i**2 - 974*i + 5868. What is the smallest common multiple of w(6) and 122?
8052
