and h.
148
Suppose 0 = -4*z + 3*o + 322, 28*z + 158 = 30*z - 3*o. Calculate the least common multiple of z and 1.
82
Let t be (-379)/(-3)*31755/(-1971)*3/2. Let v(z) = 84*z**2 + 5*z - 2. Let o be v(6). Let k = t + o. Calculate the common denominator of -6/11 and k.
198
Suppose -52*f = -56*f + 96. Let x(d) = -14*d**3 + d. Calculate the lowest common multiple of f and x(-1).
312
Suppose 5689 - 2161 = 14*d. What is the least common multiple of d and 714?
4284
Suppose l - 3*y + 327 = 0, 3*l - 3*y + 973 = 2*y. Find the common denominator of l/84 + 6/72*6 and -16/63.
252
Let q be (-2 - 13)/(13/((-130)/3)). Suppose h - q = -3*t, -2*h + 46 = 2*t + t. What is the least common multiple of t and 22?
198
Let z be (-1)/3 - (-15885)/42. Let q = 2560/7 - z. Let u = -69089/12189 + 6/4063. What is the common denominator of q and u?
6
Suppose -4*z + 11 = -w - 0, -2*z + 3*w - 7 = 0. Calculate the smallest common multiple of (608/(-12))/(-8) + z/(-12) and 66.
66
Let j = -1161/712 + 1/178. Calculate the common denominator of (-951)/262 - 1*-4 and j.
1048
Let d(x) = 9*x - 31. Calculate the least common multiple of d(9) and (-9100)/(-195)*6/4.
350
Let w = -16 + 1. What is the common denominator of 13/((-4)/w*3) and (-19)/(-4)*1530/2295*(-2)/(-8)?
24
Let b = 3/56 - 169/84. Let j = -22/2681 - 27827/16086. Calculate the common denominator of j and b.
168
Let j(g) = -g**2 - 17*g + 69. What is the lowest common multiple of 95 and j(3)?
855
Let f = -54 + 78. Suppose 85*v + f = 87*v. Calculate the smallest common multiple of 3 and ((-5)/((-75)/v))/((-8)/(-100)).
30
Let t = 183 - 47. Suppose 0 = -176*r + 184*r - 704. Calculate the least common multiple of t and r.
1496
Calculate the common denominator of -77/2880 and (-4)/(-9) + (-32)/(24192/(-14658)).
2880
Let b(i) = -i**3 + 8*i**2 - 6*i + 6. Suppose 425*l + 55*l = 13138 + 13742. What is the smallest common multiple of b(6) and l?
168
Let l = -10814381/1680 - -32186/5. What is the common denominator of 163/480 and l?
3360
Suppose 0 = 4*t - 9*t - 3*k + 1580, -3*t + 948 = -5*k. Find the common denominator of (-2)/((-120)/t)*(-3)/9 and 37/20.
180
Let v = 5024 + -8907. Let w be 250/6*(-1122)/(-12). Let g = w + v. Calculate the common denominator of -151/6 and g.
6
Let z = 5298/38311 + 8/8841. What is the common denominator of z and -38/9?
819
Suppose 361*v = 397*v + 593 - 4805. What is the lowest common multiple of v and 819?
819
Let w be (-4)/84*-6 - (-10)/14. Let b be (-4)/((-8)/(-74)) + w. Find the common denominator of -61/22 and 8/b - 3775/(-180).
44
Let k be (-1 + 9/10)/(403/338). Let y = 458/1395 + k. What is the common denominator of y and -97/150?
450
Let k = 154701/2300 + -1550/23. What is the common denominator of k and 2 + (-187)/60 + 0?
300
Let x(d) = d**3 - 4*d**2 + 4*d - 7. Let f be x(6). Suppose 21 + f = 11*i. Calculate the lowest common multiple of 28 and i.
140
Suppose 8*p = 3*p + 120. Let k(q) = 13*q - 50. Let a be k(4). Suppose -5*u = 3*x - 3 - 3, 2*u - a*x - 12 = 0. Calculate the least common multiple of p and u.
24
Let a = 258 + -400. Calculate the lowest common multiple of a/(-5) - 13/((-260)/(-8)) and 2.
28
Let o(p) = 17*p**2 + p + 6. Let q(x) = 6*x**2 + 2. Let w(v) = 3*o(v) - 8*q(v). Calculate the least common multiple of w(-3) and (228/190)/(6/80).
80
Let q = 906896/7 + -129277. Let p = 279 - q. What is the common denominator of 151/18 and p?
126
Suppose 3*k - 2*q = 2*k + 441, -5*q = 5*k - 2205. What is the common denominator of (-1 + 16)/(-5) + k/142 and 73/22?
1562
Let j be (492/(-28))/(8 - 316). Let q = 39/98 - j. Calculate the common denominator of 49/8 and q.
88
Let j = -812 + 824. Let t be -12 + 21 - (-1*5 + 2). Suppose -4*d = 5*q - 3*q - t, -3*q + 33 = d. Calculate the lowest common multiple of q and j.
12
Suppose 0 = 2*y - 4*f + 87 - 507, f = -5*y + 1050. What is the least common multiple of y and 504?
2520
Calculate the common denominator of ((-60)/(-2720))/(24/(-8770)) - -8 and -99/238.
3808
Suppose 0 = -2*u - u + 3*w - 651, 208 = -u - 2*w. Let b be 2 + (u + 1)*(-16)/24. Calculate the common denominator of 2 - ((-18)/6 - b/(-10)) and -115/6.
30
Calculate the least common multiple of 710 and (96/(-46) - (3 + (-71)/23)) + 7.
710
What is the lowest common multiple of 45 and -134*((-158)/(-553) - (-117)/(-42))?
3015
Let q be -4 + 3 - (485681/(-50) - -3). Let d = q + -9710. Calculate the common denominator of -27/8 and d.
200
Let n(o) = -107*o - 2562. Calculate the smallest common multiple of n(-24) and 30040.
90120
Find the common denominator of -2/9 and (-17 - 95608/(-2808)) + -17.
351
Let t(s) = s + 12. Let g be 0 - (-15)/10*2. Suppose 7 = -g*q - 23. Calculate the least common multiple of t(q) and 14.
14
Let f = -9458 + 9579. Calculate the smallest common multiple of f and 28.
3388
Let q = 67 - 27. Let f(i) = -i**3 + 3*i**2 + 17*i + 16. Let g(w) = -3*w**2 - 18*w - 9. Let a be g(-5). What is the smallest common multiple of f(a) and q?
40
Let l = 39/3673472041 + 2016556148105447/214148726102136. Let w = 3672822887/19432 - 189009. Let c = l - w. Calculate the common denominator of c and 7/16.
48
Let k = 722/1993 + -2391902/308915. Let m = k + -3/155. Calculate the common denominator of m and 2024/176 + (-4)/10.
10
Find the common denominator of 3 - ((-7 - (-30004)/4304) + -2 + 5) and 13/1614.
3228
Find the common denominator of 4 + 1 - (-32)/3 - (-40)/(-16) and 67/10022.
30066
Let m be (-2)/(-11) + 31024304/46844336 + -1. Let z = m - -2/38023. What is the common denominator of 139/66 and z?
462
Let d be 3*5214/168 + 2. Let f = 517/7 - d. Find the common denominator of f and -17/78.
156
Let s = -532 - -521. What is the lowest common multiple of ((-6)/27)/((99/162)/s) and 2/(1 - -1)*14?
28
Let h = 2616809/4025 - -988/575. Let g = -655 + h. Calculate the common denominator of ((-216)/(-28))/((-12)/56) and g.
7
Let l = -800711 + 2778467093/3470. Find the common denominator of 107/20 and l.
6940
Let c be (-6)/2 - 17/((-153)/342). What is the lowest common multiple of 10/c - (-78)/21 and 52?
52
Suppose -3*m = -0*m - 0*m. Let n(w) = -2*w**2 + 63. Suppose -9 = -h - 3. What is the least common multiple of h and n(m)?
126
Let l(p) = 27*p + 202. Let a be l(-6). Suppose -a = -2*w + 3*k, 5*k - 8 = 5*w - 108. Calculate the lowest common multiple of 75 and w.
300
Let g(m) = m + 7. Suppose 2*h + 23 = -b + 2, 0 = 5*h + 4*b + 60. Let x be g(h). What is the common denominator of -61/4 and (455/13)/(x - (5 + -2))?
4
Suppose 0*q - 4*w - 6 = q, -2*q = -2*w - 8. Let l be (-351)/q + 1/(-2). Find the common denominator of (4/l)/(4/376) and -31/10.
110
Let t = 1007245/96 + -10492. What is the common denominator of t and 98/66 - 10/(-15)?
1056
Let q be 13268/10 - ((-196)/(-20) - 10). Suppose 1336*r - q*r = 324. What is the lowest common multiple of r and 84?
252
Suppose -4*i - 4*j + 108 = 0, -4*j - 184 = -5*i - 49. Let h(t) = t**2 - 26*t - 20. Calculate the least common multiple of 49 and h(i).
49
Let s = 674 + -708. Calculate the common denominator of (1695/40)/((-357)/s) and 59/2.
28
Suppose -107*s - 852 = -113*s. Suppose -1878 + s = -31*c. What is the smallest common multiple of 18 and c?
504
Let n = 1531 - 1195. What is the lowest common multiple of 1848 and n?
3696
Let w be 42764734/(-28) - ((-2)/1 - -4). Let v = 1529221 + w. Let r = v + -1901. Calculate the common denominator of r and 149/36.
252
Suppose -5*h + 4 = -5*a + 2*a, -2*a - 2*h + 24 = 0. What is the common denominator of (-2)/a - 729/168 and 1/((-18)/760) - (-6)/27?
8
Let l = -481648527029/184384638 + 1/40974364. Let h = -2612 - l. What is the common denominator of 111/40 and h?
360
Find the common denominator of (42/56)/((-36)/712) and 162/56 - (-5)/20.
42
Let b = 641 + -1222. Let w = -481 + b. Let k = 7418/7 + w. What is the common denominator of k and 101/28?
28
Suppose -8*f + 4*f = -56. Suppose -365 = -3*s + 2*w, -s - 20*w = -16*w - 103. Suppose -s*l + 124*l - 110 = 0. Calculate the lowest common multiple of l and f.
154
Let g(p) = -18*p - 3. Let k(y) = y**3 + y**2 + 9*y + 7. Let r be k(-1). What is the lowest common multiple of 99 and g(r)?
99
Let a be 9/15 + (-897)/1945. Let l = a - 37257/7780. Let z = 27 + -175/6. Find the common denominator of z and l.
60
Suppose -50*v - 32*v = -194924 + 67004. What is the smallest common multiple of 15 and v?
