ultiple of j and 180.
360
Suppose 11 + 42 = l. Let w = 43 - l. Calculate the common denominator of -23 and ((-335)/w - -1) + 0.
2
Let k(d) be the second derivative of -9*d**3/2 + 141*d**2 + 6*d. Calculate the least common multiple of k(10) and 84.
84
Find the common denominator of (-2288)/(-234) + -3*35/30 and 12/37 + 2/(-3).
666
Let i be -3*2/(-12)*0. Suppose 33*z + 5*z - 456 = i. What is the smallest common multiple of 33 and z?
132
Suppose 42 = -x + 4*x. Let j(f) = f + 6. Suppose 3 = 2*n + 3. Calculate the least common multiple of x and j(n).
42
Let l(u) = -10*u + u - 2*u - u + 6*u - 74. What is the smallest common multiple of 4 and l(-18)?
68
Let u = -105284/3 + 36168. Let w = 25973/24 - u. Let g = 36115/6 - 6035. Calculate the common denominator of g and w.
24
Suppose 2*c + 6*y = y + 80, -160 = -4*c + 5*y. Let o = 5120 - 5110. Calculate the lowest common multiple of c and o.
40
Let u = -10149 - -10345. What is the smallest common multiple of 784 and u?
784
Let h = 140057/16 + -8750. What is the common denominator of h and -151/6370?
50960
Let u = 4514 + -4334. What is the least common multiple of 192 and u?
2880
Let c(k) = 34*k + 39*k + 40 - 85*k - 9*k**2. Let p(d) = 5*d**2 + 6*d - 20. Let n(f) = 4*c(f) + 7*p(f). Calculate the least common multiple of n(-8) and 7.
28
Suppose 5*r - 145 = 5*t, -272*t + 169 = 5*r - 273*t. What is the lowest common multiple of r and (8/(-6))/(8/(-300))?
350
Suppose 11*s + 3*d + 174 = 9*s, 0 = -s + 2*d - 80. Find the common denominator of -48 and (-121)/(-66)*s/32.
16
Let b = 62 + -61. What is the common denominator of (-4)/(-30) - (-1322)/(-240) and (b/3)/(28/(-96))?
56
Find the common denominator of 1/95*((-8410)/(-696))/((-4)/16) and (-218)/(-28) + 2/4.
399
Suppose 2*g - j + 1535 = 0, -g - 2*g + 4*j - 2290 = 0. Let w = g - -860. What is the lowest common multiple of 30 and w?
90
Find the common denominator of (2/230)/((-15)/(47700/(-24))) and -27/70.
1610
Let l = 775 + -745. Suppose -l*n + 3752 = -328. Calculate the smallest common multiple of n and 18.
1224
Suppose -r = -4*v - 16, -12*v + 13*v - 3 = 0. What is the least common multiple of 4 and r?
28
Let s be (-119)/((-21)/(-6) - 3). Find the common denominator of (-9)/(-21)*s/20 and ((-194)/24)/(49/98).
30
Let k be 14/(2/(-3*3/9)). Let c(t) = -7 - t + 8 + 10. What is the least common multiple of 18 and c(k)?
18
Calculate the smallest common multiple of 65 and (-548)/(-1370) - (426/(-10) + -2).
585
Let h(j) = 16792*j - 13. Let a be h(-3). Let y = 77260 + a. Let s = 644807/24 - y. What is the common denominator of -67/10 and s?
120
Calculate the smallest common multiple of -2*3/48 - 2410/(-80) and 186.
930
Suppose -691*g + 25 = -688*g - 4*n, -g + 11 = -2*n. What is the least common multiple of 606 and g?
606
Let o = 267315 - 230960099/864. Calculate the common denominator of 125/12 and o.
864
Suppose -4*f + 5*w + 28 = 0, 9 = -f - 2*w + 3. Let p(g) = 25*g - 2. Let s = 26234 + -26230. What is the least common multiple of p(f) and s?
48
Suppose -4*f + f - 6 = 0, 5*v + 4*f - 172 = 0. What is the least common multiple of v and (-9 - -2)*-2*(-5 + (-2 - -8))?
252
Let r(d) = d**3 - d - 3. Let m be r(2). Suppose 2*w - 2*f + 28 + 26 = 0, 4*w + 92 = -4*f. Find the common denominator of m - 930/w*(-2)/(-8) and -137/6.
30
Calculate the common denominator of 362/120*(-129)/645 and 143/810.
8100
Let s = -31 + 33. Let w be 20503/1617 - s/7. Let v = -563/66 + w. Calculate the common denominator of v and 87/14.
154
Let x be (-386092672)/888*1/(1938/15). Let m = x - -191638/57. Let a = 15/37 + m. Calculate the common denominator of 41/9 and a.
153
Let k be 12/(14/7) - 5. Let o(z) = z**3 + 2*z**2 - 6*z - 4. Let q be o(3). Suppose -2*n + k + q = 0. Calculate the lowest common multiple of 74 and n.
444
Let b(d) = d**3 + 11*d**2 + 18*d + 204. What is the smallest common multiple of b(-11) and 33?
66
Let k = -1700093/5 - -3368399/10. Let v(b) = -90*b**2 - 8*b + 2. Let z be v(-6). Let f = z - k. Find the common denominator of 43/18 and f.
90
Suppose 2*q + 4*x - 2 = 0, 5*q - 3 = x - 20. Calculate the common denominator of -23/104 and (q*(-3)/12)/((-6)/122).
104
Suppose -3*x + 6 = 3*r, 2*x + 2*x + 10 = 5*r. Let t = 1833 - 1832. Find the common denominator of 68/12 + t - r/6 and -15/2.
6
Let d = 77723 + -77688. Suppose y + 925 = 4*o - 4*y, -o + 250 = 5*y. What is the least common multiple of o and d?
1645
What is the common denominator of 456/44 + -11 + (16 + 0)/(-4) and (-138)/729*6/(-4)?
891
Suppose -4*h - s = -203 - 117, 5*h - 2*s - 400 = 0. Let b = 135 - h. What is the least common multiple of b and 6 + (-1 + 1)/(-73 + 75)?
330
Suppose 1894 = -13*s - 4840. Let j = s + 1106. Calculate the smallest common multiple of 16 and j.
2352
Suppose -44*t + 176904 = 280*t - 95256. What is the smallest common multiple of 392 and t?
5880
Let s be (4/86)/((-100)/40). Let x = -7115015417/430 - -16546561. Let j = s + x. Find the common denominator of j and 79/2.
2
Let t(r) = -73*r**3 - r**2 + r + 1. Calculate the lowest common multiple of t(-1) and (-2)/(22/(-133)) - (1104/176)/69.
72
Calculate the common denominator of 41/604 and (2415/(-345))/((-20)/(-22)).
3020
Let k be (28/(-63))/(-2) - 1032/(-1). Let l = -1035 + k. What is the common denominator of 47/27 and l?
27
Let k = 179722568/537 - 334679. Calculate the common denominator of 35/2 and k.
1074
Suppose -5*t - 77 = -p, -4*t = -4*p - 0*p + 404. Calculate the lowest common multiple of p and 9.
963
Suppose 4207*o + 30 = 2*y + 4211*o, -3*y + 3*o = 18. Let n(r) = 7*r**3 - r**2 + 2*r - 1. What is the lowest common multiple of n(1) and y?
7
Let r = 35189/50 + -703. What is the common denominator of -46/2265 and r?
22650
Let u = -12359/11 - -1127. Suppose -665 = -5*q - 5*x, 3*q - x = 2*x + 375. What is the common denominator of u and (q/(-24))/(-1) - 3?
88
Let c = -1589 - -805. What is the common denominator of -9/8 and 5 - (-116)/c*38?
392
Let d be (-2)/72*(-22450834)/(-2576). Let r = 5570/23 + d. Calculate the common denominator of r and -2/15.
1440
Let a = 2893 - 2697. What is the least common multiple of 2 and a?
196
What is the lowest common multiple of 835 and 8/(32/(-5010))*(-84)/63?
1670
Let r(w) = -w**3 - 16*w**2 + 36*w + 4. What is the smallest common multiple of r(-18) and (-9)/(-3) + 15 - -2?
20
Let p = 467/15 - 31. Suppose 517 = -2*g + 45. Let f = g + 240. Calculate the common denominator of p and f.
15
Let a be 1 - (3 + -7 - 23). Calculate the least common multiple of (-8)/(-6)*(-3 + 399/a) and 21.
105
Let v be (-21)/(-7) - (-272 - 3). Calculate the common denominator of 80/21 and v/144*(18/12 + -3).
336
Suppose 2*z = -16 + 22. Suppose -164 = -5*u - 24. Suppose -z*h = h - u. What is the lowest common multiple of 7 and h?
7
Let h = -16 + 28. Suppose 33*v - 161 = -62. Suppose 2 - 78 = -v*k + w, 0 = -k - 2*w + 16. Calculate the smallest common multiple of k and h.
24
Let p(b) = -135*b + 128. Let x be p(3). Find the common denominator of -10/207 and (-1)/((-15)/(-6)) + x/45.
207
Suppose -32*q - 296 = -144*q - 188 + 452. Let f = 12 + -1. What is the lowest common multiple of f and q?
55
Calculate the common denominator of 13/40 and (-3)/2 - ((-23484)/(-4428) - 7).
14760
Suppose 291*j - 298*j = -11732. Let v = j - 83791/50. Calculate the common denominator of v and -69/100.
100
Let i(y) = y**3 + 8*y**2 + 13*y + 14. Suppose -3*p - 76 = -61. Calculate the least common multiple of 138 and i(p).
552
Let q = 37 + -57. Find the common denominator of (-5)/q + (-233)/36 and -44*(-9 + 224/24).
9
Let k be (-25108)/(-112) + 3/(-7). Let x = k - 3181/4. Let v = x - -560. What is the common denominator of v and -43/2?
2
Let g(w) = -2*w**3 - 5*w**2 - 8*w - 21. Let h be g(-5). Suppose 18*q - h = 6*q. Suppose -5*j = -j - 44. Calculate the smallest common multiple of j and q.
132
Let y be 151494/9 + 1/3. Let f = y - 471385/28. Calculate the common denominator of 2*4/12 + 95/12 and f.
84
Calculate the common denominator of ((-502)/(-100) - 5)/((-52)/7345) and -33/80.
80
Suppose -145 = -5*b + v, -b - 45 = 3*v - 90. Calculate the least common multiple of b and 1065.
2130
Let r be 23298/26 + (8 - (-3 - -10)). Let f = r + -898. Find the common denominator of f and 47/4.
52
Let o(f) = -9*f**2 - 86*f - 9. What is the smallest common multiple of o(-9) and 261?
