 and g?
252
Let i(f) = 8*f**2 - 2*f - 2. Let h(s) = 10*s + 3. Let l be h(7). Suppose 0 = l*c - 71*c + 2. What is the least common multiple of 20 and i(c)?
40
Suppose 12*i - 928 = 3860. Calculate the common denominator of 0 + -2 + 1/(60/i) and (-6)/12 - 106/(-20).
20
Let i be (-6)/(-21) - (-1)/((-28266)/(-81559)). Let h = 3/673 - i. Let x = 2686/9 - 20669/72. Find the common denominator of h and x.
24
Suppose -3775 + 14565 = 13*z. Let g = z - 787. What is the smallest common multiple of g and 8?
344
Let v = -53433/46172 - 43/679. Find the common denominator of v and 110/(-56) - (4 + -7).
476
Let z = 224 + -234. Find the common denominator of 15/z*(-76)/(-240) and -61/80.
80
Suppose 0 = -l - 3*r - 6, 51 = -3*l - r + 3*r. What is the common denominator of 4 - 80/15 - l/4 and 181/30?
60
Let a = -257908669/21 + 12284907. Let q = a + -3540. Find the common denominator of q and -23/9.
63
Let l = -7047 + 7161. What is the lowest common multiple of l and 240?
4560
Suppose -a - 173 = 3*k, 4*k = 3*a - 155 - 54. Calculate the lowest common multiple of (-63)/k - 1 - 351/(-8) and 14.
308
Let m be 1/((-1)/(-2)) - (11 - 7). Calculate the common denominator of (-12)/24 - (1 + m/5) and -117/14.
70
Let b = 1202 + -856. Suppose k = -b - 83. Find the common denominator of 77/15 and -3 + 0 + k/(-36).
60
What is the lowest common multiple of (-14 - -1) + (-8 - -10) + 2606 and 12?
10380
Suppose -4*p - r = 18, 2*p - 5*p - 10 = -r. Let v(t) = -t**3 - 5*t**2 - 6*t - 1. Suppose 0 = 2*z + 29 - 53. Calculate the least common multiple of v(p) and z.
84
Let v = 5/2089 + 4237/848134. Calculate the common denominator of v and (23/4)/((-110)/(-60)).
4466
Calculate the common denominator of 167/30 and ((-18)/(-12))/(300/(-412)).
150
Let y = -10517 - -10685. What is the least common multiple of y and 1048?
22008
Let s = 17 - 14. Let k be ((-1)/s)/((-5)/45). Suppose 20 = m + 4*q, -m - 2*q = -k*m. What is the smallest common multiple of m and 6?
12
Suppose 2*u - 3*h = 19, -2*u + 3*h = 4*h - 31. Let m = 1566 - 1526. What is the smallest common multiple of m and u?
280
Let g = -16 - 6. Let h = g - -52. Find the common denominator of -101/10 and 1 - (-129)/h - -3.
10
Calculate the common denominator of 4/(-4) - 0 - 14436/(-29312)*2 and -53/20.
18320
Suppose -l = -2*l - 2. What is the least common multiple of (l + 8)/1 + -2 and 169/52 - (-3)/4?
4
Suppose -i + 14502 = -3*i. Let k = i + 159561/22. What is the common denominator of 18/540*6/(-4) and k?
220
Let p(s) = 2*s**3 + 6*s**2 - 28*s - 14. Calculate the smallest common multiple of p(4) and 308.
2156
Let d = -144 + 170. Suppose 5*o + 4 = -n, 10*n - 13*n + 4*o = -d. Let h(l) = l**2 - 2*l - 9. Calculate the smallest common multiple of n and h(5).
6
Suppose -43*c - 283*c + 1423 = -4445. What is the least common multiple of c and 14/1 - (-2)/(-1)?
36
Find the common denominator of 155/828 and ((-184)/10580)/((-18)/(-93)).
4140
Let j = -28 + 439. Let n = -1249/3 + j. Find the common denominator of n and 133/76 - (-197)/(-4).
6
Let r be ((-96)/(-15))/(3 + (-2082)/186). Let m = 396607/471170 + r. Find the common denominator of -81/4 and m.
1484
Suppose 0 = 38*k - 53*k + 120. Calculate the least common multiple of (6/k)/((-2649)/(-264) + -10) and 11.
22
Find the common denominator of ((18/3)/(-48))/(1/122) and (-10620)/1584*(-2)/(-5).
44
Let h = 3212 + -2858. Calculate the smallest common multiple of 2 and h.
354
Let d = 11 + 22. Suppose 46*w - 91*w = 105*w - 1200. Calculate the lowest common multiple of d and w.
264
Let t(w) = -w**3 + 11*w**2 - 21*w + 77. Let a be t(9). Calculate the common denominator of (-13)/(-12) + -1 - 2 and -1 + a/(-45) + 4.
36
Let h = 1746 - 1710. Calculate the lowest common multiple of h and 18.
36
Let b be 416916/(-277992) + (-6)/(-4). Let r = b + 33343/7722. What is the common denominator of -119/174 and r?
1914
Let v be (72 - -2 - 0)/(-1). What is the common denominator of (v/(-12))/(44/12) and (-2)/(-4) + 345/40 + -14 + 12?
88
Let c = -330253 - -330268. Calculate the least common multiple of c and 1/(-1 + 0) + 253.
1260
Suppose o + 13 = 3*w, -2*o + w - 1 = -0*o. Suppose -o*y = 5*y + 5061. Let g = 7317/10 + y. Calculate the common denominator of g and 89/4.
20
Calculate the common denominator of 61/9909 and (-5)/(-2)*(-4)/20 + 856/48.
9909
Let p = 943 + -1726. What is the common denominator of (-4 + 242/60)/(129/p) and -5/14?
3010
Find the common denominator of -20/41 and (-78)/(-819) - (-568)/(-84).
123
What is the common denominator of -45/161 and (-649)/(-1260) + (-12)/54?
3220
Let k = -33 - -49. What is the common denominator of k/(-104) + 774/(-208) and (-2)/13 + 1785/1209?
248
Calculate the common denominator of (-4 + 252/16)/(1/(-1) - 63) and -87/608.
4864
Suppose -2*x + 2*g = 2*x - 20, 0 = 4*g. Suppose x*c = 3*m + 66, -5*m - 13 = -3. Suppose 882 + 658 = 35*b. What is the lowest common multiple of b and c?
132
Let z(r) be the first derivative of 3*r**2 + 4 + 4/3*r**3 + 6*r. Calculate the least common multiple of 2 and z(-2).
10
Suppose -135 = -5*k - 5*i, -3*k - i = 46 - 133. Calculate the smallest common multiple of (0 - k/(-6) - 2) + 1 and 24.
24
Let q = 541 - 532. Suppose -4*t + k + 54 = 0, -q*t + 11*t = -4*k + 36. Calculate the least common multiple of t and 84.
84
Let o(m) = 2*m**3 - 5*m**3 + 26*m + 4*m**3 + 194 - 27*m**2 + 57*m**2. Calculate the lowest common multiple of o(-28) and 7.
7238
Let b be (-33)/(-5) - 72/120. Calculate the least common multiple of 11 and 2/(-8)*-4*b.
66
Suppose 21*w = 13*w. Suppose 3*u + 3 - 18 = 0, -4*i - u + 69 = w. What is the lowest common multiple of i and 110?
880
Let n(b) = -b**3 + 11*b**2 - 11*b - 2. Let v be n(10). Let r = -247 + 271. What is the smallest common multiple of r and v/18 - (-26)/3?
24
Let w be 9/6 - (-5 - 8154/(-1236)). Let u = 17/1236 + w. What is the common denominator of u and 83/16?
48
Let c = -60 + 90. Let w(v) = -181*v - 598. Calculate the smallest common multiple of w(-4) and c.
630
Suppose -20 = -3*y - 50. Calculate the smallest common multiple of 8 and (4144/185)/((-4)/y).
56
Let p(a) = 12*a**3 + 3*a**2 - 4*a. Let h = -47 + 48. What is the smallest common multiple of p(h) and 37?
407
Suppose 0 = -8*v + 122 + 142. What is the common denominator of -5/16 and 170/v*(-16)/64?
528
Let g be (-1 - -2)*77052*(-76)/(-114). Let y = g + -5650521/110. Calculate the common denominator of -133/60 and y.
660
Let t be 3*(538/(-3) - 4). Let a = 9853/18 + t. Let l = 6812 + -184000/27. Find the common denominator of l and a.
54
Let t(i) = 562*i**2 - 231*i - 1. Calculate the smallest common multiple of t(1) and 242.
3630
Let w = 46 + -12. Let n be 0 + 190 + (38 - 34). Let i = n + -176. What is the lowest common multiple of i and w?
306
Let a be -1 + 2 + -5 + 1. What is the common denominator of ((-1)/2)/((-8932)/332 - -27) and (a - -2) + 17/(-16)?
16
Let d = 114 - 192. Let f = d + 111. Let z = -315 - -336. What is the least common multiple of z and f?
231
Suppose 0 = 26*q + 73*q - 28908. Calculate the lowest common multiple of 438 and q.
876
Let x = -2288 + 3296. Find the common denominator of 101/20 and 8/36 + 2/(x/190).
1260
Suppose 4 = 4*d + 32. What is the common denominator of (54/240)/(6/56) and (143/26)/(d/(-2))?
70
Let p(u) = 17*u**3 - u. Suppose 106*q - 108*q = 12, 3*r - 4*q - 42 = 0. Calculate the lowest common multiple of r and p(1).
48
Suppose 19*m - 2719 = -5*g + 3105, 0 = -4*g + 5*m + 4639. What is the lowest common multiple of g and 132?
51084
Let s(b) = 29 - 2 + 18 - 3 + 11*b + b**2. Calculate the least common multiple of 24 and s(-8).
72
Let n(v) be the first derivative of -5*v**3/3 - 2*v**2 + 5*v - 12. Calculate the common denominator of n(2) and (-159)/21 - 3/((-6)/4).
7
Let f = -4639909/64 - -72497. Let n = 5/4177 - 497543/400992. Find the common denominator of f and n.
192
Let q = -396/2219 + 589285/2270037. Find the common denominator of q and -7/837.
9207
Let i(n) = n**2 - 6*n + 47. Let m(y) = 9*y + 56. Let c be m(-5). Calculate the lowest common multiple of 33 and i(c).
1122
What is the lowest common multiple of 2112 and ((-144)/(-180)*-400)/((-2)/11)?
10560
Suppose -49*l - 4*l = 111*l - 193192. Calculate the smallest common multiple of l and 114.
3534
Suppose -468*v + 419*v = -1519. What is the common denominator of 73/1690 and v?
16