17589
Suppose 29*d = 27*d - 5*x + 140, 5*x = 5*d - 245. Calculate the least common multiple of 121 and d.
605
Let v(y) = 25*y + 78. Let o(z) = -1. Let i(n) = -3*o(n) + 3*v(n). What is the lowest common multiple of i(-3) and 4?
12
Suppose 275*g - 661*g + 1158 = 0. Calculate the smallest common multiple of (-47)/(-7) - 8/(-28) and g.
21
Let a be ((-1465)/78)/(4/(-3)). Let x = a - 58/13. What is the common denominator of x and (-7)/35 - 258/(-140)?
56
Let o = 1748111/102 - 17138. Let u be 3669/6798 + (0 - 2). Let t = 79/103 - u. Find the common denominator of t and o.
1122
Let i(p) = p**3 - p**2 + p + 1. Let v(a) = a**3 - a**2 - 4*a + 2. Let w be 119/49 + 16/28. What is the smallest common multiple of v(w) and i(3)?
88
Suppose -12*y = -2*y. Let n(d) = d**3 - d + 3039. Let t be n(y). Let w = t + -36595/12. Find the common denominator of w and 64/27.
108
Let w = 27/3712 + 131249/582784. Calculate the common denominator of -37/22 and w.
3454
Let w = 28024 + -28002. What is the least common multiple of 5882 and w?
64702
Let i = -163600/3 - -117137393/2148. Calculate the common denominator of i and -23/18.
6444
Suppose 0 = -5*t - 20, 4*b - 3*t = b + 27. Suppose 0 = g + b*n - 35, 2*g = g - 3*n + 45. What is the smallest common multiple of g and 30?
60
Suppose -t = 3*v, -5*t + 4*v = -3*t. Let q be (-55)/4*(0 + -4 + t). Let k = q - 49. Calculate the smallest common multiple of 26 and k.
78
Find the common denominator of ((-2)/120*4)/((-18)/575) and (-377)/209 + (4 - (-156)/(-38)).
594
Let j = -8301634985/5553 - -1494982. Find the common denominator of -97/4 and j.
22212
Suppose -t - 417 = -4*t. Let g = 126 - t. Let f = 5 - g. Calculate the least common multiple of f and 3.
18
Let j = 25/107 - 31262/535. Let k = 56 + j. Calculate the common denominator of 99/40 and k.
40
Let a be (57/38)/(1/(-290)). Let u = a + 443. Calculate the smallest common multiple of u and 6.
24
Calculate the lowest common multiple of 480 and (5 - (5 - -1))/((3/(-672))/1).
3360
Calculate the common denominator of -61/14 and 158/(-395) - (-1637)/4130.
826
Let n = 2 + 1. Suppose -2*j = 3*l + 13, 0 = -4*l + 3*l + n*j + 14. What is the lowest common multiple of (l + (3 - 1))/(6/12) and 14?
14
Suppose -86 = -8*t + 74. Let i(l) = -2*l + 2 + 4 - 3 + 1. Calculate the smallest common multiple of t and i(-6).
80
Let j = -62713/11 + 22811/4. Find the common denominator of j and 11/5.
220
Let y be 378/(-20)*-4*(-35)/(-168). Suppose -2*h + 0*h - 35 = -v, -5*v - 49 = 4*h. Let g = y + h. Find the common denominator of -5/94 and g.
188
Let f(x) = 3*x**2 - 30*x + 40. What is the smallest common multiple of 24 and f(10)?
120
Let i(b) = -b**3 - 27*b**2 + 26*b - 27. Let n(z) = -z**3 + 25*z**2 + 25*z - 2. Let a be n(26). What is the lowest common multiple of i(a) and 7?
203
Let w be 8758*(3 - (1 - (-1)/3)). Let x = -14430 + w. Let q = x - 851/5. Calculate the common denominator of -59/21 and q.
105
What is the least common multiple of -183 + 185 - 1*201/(-1) and 4118?
28826
Let q = -13097 + 235697/18. What is the common denominator of q and -40/99?
198
Let l = -13206 - -13227. Let a = -1 + 17. Let w = -10 + a. Calculate the lowest common multiple of l and w.
42
Suppose -2760 = -12*m + 1584. Suppose 3*w - m = b, -2*w + 3*w - 3*b - 126 = 0. What is the least common multiple of 60 and w?
120
Let k be -895*(-1)/892 + -1. Let x = 13/92140610 - -1154383475839/1109557225620. Let y = x - k. Calculate the common denominator of y and 151/12.
108
Let o(x) = -x + 25. Let a be o(-17). Suppose 40*r = a*r + 76. Let w = 54 + r. What is the smallest common multiple of w and 22?
176
Let r(g) = 42*g. Let k be r(-1). Let z be (k/(-15)*1)/(2/(-10)). What is the lowest common multiple of (18/(-15))/(z/175) and 9?
45
Suppose -556 + 2256 = 34*m. What is the least common multiple of 870 and m?
4350
Let j be 9 + -1 + 15/((-120)/32). Suppose i - 15 = -2*z, z = -j*i + 2 + 2. What is the least common multiple of 40 and z?
40
Let n be 3/((10/(-6))/5). Calculate the common denominator of 17/(-4)*(-1212)/1111 and 2/n + 20/(-6).
99
Calculate the common denominator of 2/10 - (-13405)/16100 and 897/156 - ((-2)/2)/(-1).
92
Let r(v) = -15*v - 157. Let x be r(-11). Find the common denominator of (-3*x/48)/((-66)/58) and 17/12.
132
Let f be (-6)/10 + (-13939)/(-265). What is the common denominator of -41/22 and (f*(-3)/40)/((-77)/(-5))?
154
What is the smallest common multiple of ((-33)/(-77))/((-129)/(-1505)) and -1 - (-2 + (-8)/2)?
5
Let w = -79411/18 - -4413. Calculate the common denominator of -119/3966 and w.
11898
Let p be (0*(-4)/16)/2. Suppose 5*f + f = p. Suppose -3*h = -f*h - 27. Calculate the least common multiple of 6 and h.
18
Suppose 700 = -77*d + 147*d. Calculate the least common multiple of d and 85.
170
Let b = 15281 - 5501123/360. Find the common denominator of b and 151/1584.
7920
Let m = 10 - 16. Let x = 3172 - 3184. Calculate the least common multiple of (-4)/m + (-256)/x - -2 and 39.
312
Let u = 14 - 6. What is the common denominator of 2/(-5) - (-11 - (-14841)/1360) and (u/60)/((-8)/282)?
80
Let x = 212 + -124. Suppose -x = -16*m + 24. Calculate the smallest common multiple of 3*3 + (-4)/(-4) and m.
70
Let g = 3026 - 2456. Calculate the lowest common multiple of 190 and g.
570
Let h(x) = -2*x**3 - 88*x**2 - 91*x + 57. What is the lowest common multiple of 16 and h(-43)?
272
Let c be 14/(-8) - -1 - (-9)/12. Suppose b = 5, 2*p - 2*b + b - 69 = c. What is the smallest common multiple of p and 3?
111
Suppose 28*q = 1961 + 1063. What is the smallest common multiple of q and 64?
1728
Let o = -1361821/308 - -30733/7. Let v = o - -119/11. Find the common denominator of v and (-81)/30 - (-3 - (-25)/5).
20
Suppose -90 = 40*k - 45*k. What is the smallest common multiple of k and (-66)/(-6)*1 - -1?
36
Let v = -25943 + 41991. Let w = v + -224563/14. Let b = 3773 - 82965/22. Calculate the common denominator of b and w.
154
Let k = 20 - 20. Suppose k = 9*t - 7*t - 12. Suppose 4*j - 54 = -t. Calculate the lowest common multiple of 6 and j.
12
Let o be -8 - (-20)/4*(-2)/(-5). Let w be 173/(-7) + (-10 - o). Let h = 2179/42 + w. Calculate the common denominator of -79/18 and h.
18
Let n = -12323/4450 + 23/178. Let s = -1523/75 - n. Find the common denominator of s and 20/121.
363
Let c = 42053123/558 + -75364. What is the common denominator of c and -97/360?
11160
Let b = 98 + 34. Suppose v - 4*c - 76 = -v, -b = -4*v + 3*c. Suppose 3*u - 3*a + 0*a = 42, -4*u + 16 = 4*a. Calculate the least common multiple of v and u.
90
Calculate the common denominator of 575/15*(225/(-114) - -2) and 53/152.
456
Calculate the common denominator of -31/39 and (12135/330 - 26)/(-39).
858
Let a = -4507 + 4492. Let d(r) = -17*r + 2*r**2 + r**3 - 18*r**2 - 2*r**3. What is the lowest common multiple of 33 and d(a)?
330
Suppose -3*h = -v + 13, 2*h = 3*v - 5*v + 18. Let m = 271 + -278. Calculate the smallest common multiple of 1 - (-5)/m - 1380/(-70) and v.
20
Find the common denominator of (-85)/6*(-200)/(-125) and (-279)/(-372) - 530/952.
357
Suppose -11*i = -14*i + 133362. Let l = -1778257/40 + i. Calculate the common denominator of l and 3/10.
40
Let d be 3 + 1 + 1 + 8 + 2. Suppose -c + 35 = 3*l, 3*c = 16*l - d*l + 55. What is the smallest common multiple of 126 and c?
1260
Let d(w) = 18*w - 33. Let l be d(2). Find the common denominator of ((-1)/l)/(15/(10605/28)) and 1461/108 - 2/(-9).
12
Let a be -1 - 0*(-6)/(-30). Find the common denominator of -4 and (2 + (-2248)/800)*a.
100
Let r = 152369/16 - 9529. Calculate the common denominator of r and 49/10.
80
Let p = -96094/595 + -18/85. Let b = 1781/14 + p. What is the common denominator of b and -17/14?
14
Suppose 122*f = -40852 + 169440. Calculate the lowest common multiple of f and 68.
2108
Suppose 3*h = -j + 1651, h + 4*j - 346 = 208. What is the least common multiple of h and 143?
7150
Suppose -10 = 30*t - 35*t, 7*t = 2*x - 616. Calculate the lowest common multiple of x and 11.
3465
Let l = -19534/11 - -1778. What is the common denominator of l and 1/(-1)*14126/2114 - -7?
1661
Let u(k) = -k**2 - 9*k + 7. Let x = 49 - 60. Let w be u(x). What is the common denominator of 9/w*(-12 + -1) and 81/8?
40
Let x be (-6)/3384*(-1194484377)/8. Let v = -264735 + x. What is the common denominator of -151/18 and v