0. Calculate the smallest common multiple of g(-3) and c.
18
Let j be ((-205)/(-25) + -9)/(7442/(-10)). Let n = j + -197285/66978. What is the common denominator of n and 23/15?
90
Let u(w) = -w**3 - 3*w**2 + 5*w - 1. Let x be u(-5). Let n = -3116 - -3146. Calculate the common denominator of (x/10)/((-33)/n) and -43/10.
110
Let a be -56*(-12)/(-24) - 12/2. Suppose 46 = 3*w - 119. Let y = a + w. What is the smallest common multiple of 12 and y?
84
Calculate the least common multiple of 34 and (-40)/(-12)*(-32232)/(-395).
272
Let p(l) = -18*l**2 + 190*l - 34. Suppose -121 = -5*n + 29. What is the lowest common multiple of p(10) and n?
330
Let b(n) = n**2 + 15*n - 44. Let x(i) = 6*i - 127. Let u be x(18). Calculate the smallest common multiple of b(u) and 12.
96
Suppose 61 - 13 = 12*g. Suppose -5*w + 6 = -4, -g*w + 140 = 3*d. What is the least common multiple of 220 and d?
220
Suppose -145*n - 2125 = 50. Find the common denominator of n and -133/2412.
2412
Let x = 75 + -45. Let o be 10*(x/(-25))/(-3). Suppose -2*d - o*w = -11 - 5, -4*d + 3*w = -43. Calculate the least common multiple of d and 48.
240
Suppose -5*w = 35*v - 31*v, 23 = 3*v - 2*w. What is the least common multiple of 2916 and v?
14580
Let a = 26 - 8. Suppose 0 = -4*m + 5*w + 635, -2*m - 14*w = -a*w - 310. What is the least common multiple of m and 4?
660
Suppose 0 = 7*l + 178 - 3. What is the smallest common multiple of 2 and 99 + (10/l)/2*-10?
202
Let h = 3619 - 859. What is the smallest common multiple of 105 and h?
19320
Let x = 21082 + -337251/16. Suppose 140 = 5*y + 2*z, 5*y - 4*z - 155 = -3*z. What is the common denominator of x and -1 + (-2 - y/(-28))?
112
Let n be (-2)/(-2) - (-27 - 1). Calculate the common denominator of (-18084)/(-720) - (-56)/210*2/4 and (n/12)/((-1)/(-10)).
12
Let d be (-1)/(-2) + (-3097)/(-2). Suppose 5*q = -604 + d. What is the common denominator of -55/4 and ((-46)/24 - -2)*q/2?
8
Let o = 26 - 11. Suppose 23*b - 24 = 47*b. What is the lowest common multiple of 9 and (b/1)/(o/6 + -3)?
18
Calculate the common denominator of 35/2 and (17 + -29)*140/(-147126).
7006
Let q = 427 - 425. Suppose -3*b - 71 = -p, -2*p + q*b + 113 + 41 = 0. Calculate the least common multiple of p and 12.
240
Suppose -4*k - 783 = -2*n - 12601, -2*n = 2. Calculate the common denominator of 47/3 and k/672 - (5 + 2).
48
Let o = 12455 + -1594261/128. Let q = 67305/32 + -2103. Find the common denominator of q and o.
128
Suppose -87 = -10*p + 333. Calculate the least common multiple of 144 and p.
1008
Let u be -7 - ((16 - 8) + -39). What is the lowest common multiple of (-126)/(-8) + 3/12 and u - (6 + -4 - 10)?
32
Let s(c) = c**3 - c**2 - 3*c - 1. Let w = 25 - 26. Let y be s(w). Suppose 3*m + 6 - 24 = y. What is the smallest common multiple of m and 27?
54
Let h(t) = 6*t + 36. Let a be h(-14). What is the smallest common multiple of (-4)/(-14) - (-136)/14 and a/(11/(-2) + 4)?
160
Let w be 3/15 + (3 - 3592/1310). Let m = w - 14377/786. Let y = -2/405 + 179/162. Calculate the common denominator of m and y.
30
Let l = 332 - 339. Find the common denominator of 5/24 and l - (6 - 2382/216).
72
Let t = -73170203/12032 - -798549/256. Let u = t - -2962. Calculate the common denominator of -47/7 and u.
658
Let n = 19 + -9. Suppose 38*f = 56*f - 2702 + 254. Calculate the smallest common multiple of f and n.
680
Calculate the common denominator of 340/(-18) - 2/(-9) and (296/(-222)*51/4)/(228/(-24)).
57
Suppose -12*z + 126 = 9*z. What is the common denominator of 3076/(-2800) + z/14 and -47/18?
900
What is the least common multiple of 1089601/1164 + 196/(-48) + 4 and 936?
936
Let f = 2571 - 221. What is the smallest common multiple of 705 and f?
7050
Let f(w) = -7*w**3 + 1. Calculate the lowest common multiple of ((-9)/(-12) - (-99)/(-660)) + 54/10 and f(-1).
24
Suppose -7*w + 12 + 2 = 0. Find the common denominator of 62/(-610) + 4/(18 + w) and -29/7.
427
Suppose 19797 + 93387 = -9*b + 117*b. What is the lowest common multiple of b and 6/15 + (-16)/(-10)?
1048
Let h = -496686/541 - -573198593/632970. Let o = -121/10 - h. What is the common denominator of o and -89/36?
468
Suppose 2*a = -o + 17, 332*o - 60 = -5*a + 333*o. What is the lowest common multiple of a and 989?
10879
Let q(l) = l**2 - l. Let r be q(5). Let b be 4*2 + (-60)/r. What is the least common multiple of 69 - (-1)/(b/(-5)) and 20?
340
Suppose -21450 = -27*k - 20802. What is the least common multiple of k and 68?
408
Let s = -48 - -92. Let p = -18 + -31. Let x = p + 71. Calculate the least common multiple of x and s.
44
Suppose -3*p - 78 = 207. Let j = 135 + p. Calculate the lowest common multiple of (-9)/(72/(-32)) - ((-8)/1)/((-10)/(-25)) and j.
120
Suppose 193*g - 197*g = 12. Calculate the common denominator of (-147)/(-9) - (-2)/(-6)*g and -57/10.
30
Let f = -106988/2255 + 522/11. What is the common denominator of f and 46/15?
615
Calculate the common denominator of 1/302 and ((-47)/(-48) + 18/(-27))*10.
1208
Let m be ((-3)/(-1548))/(54369/(-27186) + 2). Let q = m + -318/43. Find the common denominator of q and 7/(2275/15)*(-230)/(-4).
78
Let m = 1034143/12 + -86188. What is the common denominator of -3*(0 - (-92)/(-162)) and m?
108
Let a = -200781/8 - -25097. What is the common denominator of 41/31530 and a?
126120
Let m be (-4)/((-16)/(-12))*87. Let q = 270 + m. What is the smallest common multiple of 3 and q?
9
Let n be ((-8256)/2365)/(87/314). Let u = 1/1595 - n. Find the common denominator of u and -101/82.
410
Suppose -10 = -2*n - 0. Suppose 0*d = -4*d + 5*r + 57, -n*d = -4*r - 60. Let p(z) = 3*z**2 - 27*z + 33. What is the lowest common multiple of p(8) and d?
72
Let s = 297337/84 - 3540. What is the common denominator of s and 6/3 - (-100)/(-48)?
84
Let r = -2110 - -2950. What is the smallest common multiple of 20 and r?
840
Let u(z) = -z**2 - 13*z + 34. Let g(q) = 3 - 12 + 7 + 66*q**2 + 3*q. Calculate the least common multiple of g(1) and u(-15).
268
Let g(v) = 3*v**2 + 22*v - 21. Let m be g(1). Find the common denominator of 50*(m - -1)/(-5) and -1/10.
10
Let a = -312 - 423. Let k = 792 + a. Calculate the smallest common multiple of k and 45.
855
Find the common denominator of 32/45 and 49/231*((-6)/10 + 1).
495
Let d = -24315/2 - -12127. What is the common denominator of d and -81/14?
14
Let p be (-1732)/(-18) + (-8)/36. Suppose 2*k + 66 = 2*r, -3*r + p = 3*k - 5*k. Find the common denominator of (166/r)/((-12)/18) and -32/5.
10
Let v(k) = -k**2 + 137*k + 558. Let g be v(-4). Let a be (-1 + 0)/(2/54). Calculate the least common multiple of 48 and (-10 + (-9)/(a/g))/(-2).
48
Suppose 2*f + 4 = 0, -4*f = -7*p + 3*p + 3644. Calculate the smallest common multiple of p and 24.
7272
Let v = 2/5323487 + -154398483/46207867160. Find the common denominator of v and 41/7812.
78120
Let c be 8/6*12/8. Suppose -2*v + d + c = -0, 4 = 2*d. What is the common denominator of -53/11 and 2 - 77/16*v?
88
Let n be -119 + 12/3*-1. Let p = n + 229. What is the common denominator of p/(-8) + (-11 - -11) and 23/4?
4
Let q be ((-168)/(-35))/8 - 755151/810. Let r = q - -2794/3. Calculate the common denominator of r and -143/30.
270
Let l(p) = 27*p - 152. Let r be l(6). Let n be (-43)/(-9) + (-2)/(-9). Suppose -20 = -r*y + n*y. What is the lowest common multiple of 54 and y?
108
Suppose -5*b + 249 = 4*l, 4*l - 92*b - 244 = -96*b. Calculate the least common multiple of l and 2583.
20664
Calculate the common denominator of -85/264 and 5 + (-31475)/5640 + 8/12.
12408
What is the common denominator of (43/(-3))/((-426656)/402) and 63/10?
15920
Calculate the lowest common multiple of ((-10)/15 + 6)/(100/1125) and 636.
3180
Suppose 4*a + 17 = 2*j + 3, -3*a - 21 = -5*j. What is the common denominator of ((-59)/j)/(2 + (-64)/12) and -23/50?
50
Suppose 0 = 2*d, 2*h - 4*d - 25 = 119. Suppose h = 10*s - 2*s. What is the common denominator of (-3)/s - 3/108*34 and -79/12?
36
Suppose -3*f + 25 = 4*z, -4*f + 3*z = 18 - 93. Calculate the smallest common multiple of f and 762.
3810
Let w = -26595 - -26600. Suppose 0*i + 2*i - 42 = 3*q, 5*q + 83 = -i. Let p = -11 - q. Calculate the smallest common multiple of w and p.
5
Let x = -119/104 + -3/13. What is the common denominator of x and (-26)/(-80) - (-304)/380?
8
Let m be 5/(175/10) + 47528128094/(-2520). Le