/12. Find the common denominator of 13/78 - 33/4 and z.
12
Let b = 59/54 + -3065/54. Let k = 1411/24 + b. Calculate the common denominator of 182/45 - 10/(-25) and k.
72
Let c(p) = -2*p**2 + 14*p - 10. Let r = 46 + -41. Let a = r + 0. What is the least common multiple of 11 and c(a)?
110
Let u(o) = -12*o**2 - 184*o - 204. What is the lowest common multiple of u(-8) and 150?
1500
Suppose 15*t = 3*t + 24. Suppose t*o = 146 - 34. Calculate the smallest common multiple of 63 and o.
504
Let z be (-10)/105 - (-1272)/126. Calculate the lowest common multiple of (-63630)/84*(-8)/z and 14.
4242
Suppose 2*y + 9 = 1. Find the common denominator of ((-59)/(-2) - (-6 + 4)) + y and ((-4)/16)/((-2)/146).
4
Let a = 124756/131727 - -2/6933. Let c = 19 - 34. What is the common denominator of 219/33 - c/(-5) and a?
209
Suppose 661 + 201 = -o. What is the common denominator of 4*(-3)/54 - o/(-36) and (-236)/(-22)*1/(-4)?
66
Find the common denominator of 59/155 and -2 - ((-22451)/2640 - -6).
7440
Let r be 6*((-78)/(-12) - 6). Suppose 218 = 2*h + 5*f, -f + 100 = h - r*f. What is the least common multiple of 14 and h?
728
Let k = -45 - -58. Let c = k + 10. Suppose 0 = -2*s + 3*m + c, -s = s + 5*m + 1. What is the smallest common multiple of s and 8?
56
Suppose -223*o + 219*o = -16. Let s(g) = g**3 + g**2 - 19*g + 10. What is the smallest common multiple of 152 and s(o)?
1064
Suppose -5*u = -3 - 7. Suppose 0 = r, -8*b - 5*r = -10*b - 128. Calculate the lowest common multiple of u and -3 + b/(-12) + (-3)/9.
2
Let a(q) = 15*q + 385. Let t be (-5)/((-5)/2) + -1. Let h = 10 - t. What is the lowest common multiple of a(-25) and h?
90
Suppose c - 32467 = -2*j, 0 = -3*j - 20*c + 16*c + 48708. Find the common denominator of -7 - (j/(-2112) + 1) and 81/16.
528
Let v(y) = -54*y**2 + 3*y - 5. Let c be v(-5). Find the common denominator of -39/8 and (0 - 6/21) + c/56.
8
Let m = -8211/5 - -1630. Let d = m - -459/40. What is the common denominator of d and -109/84?
840
Suppose -130*b = 4829 - 23312 - 11677. What is the smallest common multiple of b and 88?
2552
Let g be 3/(6 + -5)*1. Suppose -2*u = u. Suppose s + 199 = 5*b + g*s, u = -b + 2*s + 47. What is the common denominator of b and 73/9?
9
Calculate the smallest common multiple of 32/(-6)*(-111 + 5/(5/3)) and 16.
576
Calculate the common denominator of 34/(-180)*132/(-104)*1 and 17/78.
780
Let b(f) = f**2 - 3*f - 8. Let k be b(-2). Suppose -k = -d + 14. Suppose 8 = 3*m - d. Calculate the least common multiple of m and 6.
24
Let s = -47296475/625692452 + 1/867812. Calculate the common denominator of -43/515 and s.
7210
Let m(w) = -172*w**2 - 4475*w + 22. Let j = 3 + -2. What is the lowest common multiple of (-1)/1 + 8 + j and m(-26)?
200
What is the common denominator of -145/12 and 26410/(-35112) - (-21)/28?
924
Let y = -14 - -74. Let d = -3/4892 + -281263/44028. Find the common denominator of d and 14*(-51)/y - -2.
90
Let b = -1225 - -1224. Let u = 122 - 236. Calculate the least common multiple of b/3 + u/(-18) and 44.
132
Let y = -71 - -151. Calculate the lowest common multiple of y and 10 + (-143)/(-22) - 3/6.
80
Let h(d) = d**3 - 21*d**2 + 96*d + 34. Let m be h(14). Suppose -6*c = -3*c - 60. Calculate the lowest common multiple of 27 and (-6)/20*m*c/(-12).
27
Let o(v) = 35*v**3 - 2*v**2 + 7*v. Let b be o(3). Let c be b/(-60) - (-8)/10. Calculate the least common multiple of 40/6*c/(-10) and 7.
70
Let r = 247453887/1100 - 224958. Calculate the common denominator of r and -25/242.
12100
Suppose -4*a = -8*t - 16396, 3*a - 10*t - 12360 = -13*t. Calculate the lowest common multiple of a and 12.
16452
Suppose -k + v + 82 = 0, -3*v - 48 = -k + 30. Suppose 4*p + 12 = d + k, 0 = 4*d - 5*p + 233. What is the lowest common multiple of 24 and d/((-4)/2) + 4?
120
Let x(j) be the third derivative of -j**6/120 + j**4/8 + j**3/3 + 2*j**2. Let l = 1097 - 1079. What is the least common multiple of l and x(-2)?
36
Let c be 1/(-2) - ((-103092)/(-2502))/11. Let q = -11/139 - c. Calculate the common denominator of q and -103/6.
6
Let h be 1 + -1 - (-130 - 20). Let w = h - 145. Calculate the lowest common multiple of 4 and w.
20
Let k = -56647249625/1254 - -45173253. Let r = -144/19 + k. What is the common denominator of r and 8/21?
462
Suppose 2*j + 92 + 84 = 4*r, 0 = r - j - 44. What is the least common multiple of r and 11?
44
Let f = 63689996/96435 + -4/10715. Let p = -656 + f. Calculate the common denominator of 19/27 and p.
27
What is the common denominator of 4/22*319/132 + 2 and 3 + 1*1795/(-330)?
66
Let c = -2749 + 2754. Let m be (-155)/(-2) + 3/6. Suppose m = j + c*j. Calculate the lowest common multiple of j and 3.
39
Suppose -y - 3*a = 28 - 31, 3*y - 81 = -a. Let z(h) = -h**3 + 9*h**2 - 7*h + 3. What is the smallest common multiple of z(8) and y?
330
Let q = 943414/9 - 104931. Let b = -6928/3 + 2418. Let i = q + b. Calculate the common denominator of i and 25/8.
72
Let b(u) = -u**3 + u**2 - 5*u + 1068. What is the lowest common multiple of b(0) and 1780?
5340
Suppose -65*g - 1505 - 2611 = -114*g. Calculate the lowest common multiple of 60 and g.
420
Let z = -88 - -195. What is the least common multiple of z and ((-7)/(-5))/((-3206)/(-20610))?
963
Let i be (-2785)/(-65) + 4/26. Let q = i - 16. Let n = q - 7. What is the smallest common multiple of 18 and n?
180
Let c(m) = -m**3 - 19*m**2 - 9*m + 18. Let j be c(-18). Calculate the smallest common multiple of 8 and ((-6)/2)/(j/192).
8
Calculate the common denominator of (-48)/(-456) - (2393/(-190) - (8 - 9)) and 49/1608.
8040
Suppose 4*y - 126 = 2*g, -3*g = -2*y - g + 60. Let h = -29 + y. Suppose -12 = -h*s + 4*o, 2*s - o - 5 = 2. Calculate the smallest common multiple of s and 56.
56
Let l = -3529102/53 - -66584. Let k = -2266/1325 - l. Find the common denominator of -101/20 and k.
100
Let j(p) = -57 + 117 + 22*p**2 - 3*p + p - 62. What is the lowest common multiple of 20 and j(-1)?
220
Let y = -394 + 8306/21. Let h = -13843/12 + 69090407/59892. Let f = h - 229553/329406. Calculate the common denominator of f and y.
231
Let c(r) = -161*r - 20431. What is the lowest common multiple of c(-143) and 176?
28512
Let c = -1370 + 4857. Calculate the least common multiple of c and 2853.
31383
Suppose 0 = -9*p + 4*p - 2*m + 246, 5*p - 3*m = 231. Calculate the common denominator of (28/(-20))/((-24)/10) and (-548)/p - (-8)/12.
12
Suppose 0 = 111*d + 2773 - 9877. What is the least common multiple of d and 288?
576
Let p = -16305 + 16317. What is the smallest common multiple of p and 13?
156
Let m(u) = -92*u - 4864. Suppose -25 = -v - 4*v, 5*x - 4*v = 280. Calculate the smallest common multiple of x and m(-53).
60
Suppose 3*l - 80 = l + 4*m, -4*l = -m - 174. What is the common denominator of (6 - (-44)/(-8))/(l/(-280)) and 27/137?
1507
Suppose -x - 1284 = -2*x. Find the common denominator of 11/14 and (-2)/(-2) + x/(-1176).
98
Suppose 25*y = 131 - 56. Suppose 3*q = -5*k + 2*q + 451, -275 = -y*k - 5*q. Calculate the smallest common multiple of k and 90.
90
Let u be 200/30*(-186)/5. Let j be u/(-14) - (-12)/42. Suppose 22*v - 56 = j*v. Calculate the least common multiple of 12 and v.
84
Let z(j) = -188 + j**2 + 399 - 191 - j. Calculate the least common multiple of 64 and z(4).
64
What is the common denominator of -7/110 and (-4 - 65/(-20)) + (5 - (-690)/(-264))?
110
Let t = -7633/6390 - -1/12780. Let w = 43/9 + t. Calculate the common denominator of w and -2/9.
36
Suppose -24*p - 12 = -30*p. Let o be 1*-3 + -1 + p. Calculate the smallest common multiple of ((-528)/56)/(o + (-26)/(-14)) and 8.
264
Suppose -6*y = -4*y - 54. Suppose -2*v - 47 = -5*g, 0 = g + 4*v - y. Suppose 0*f + 15*f - 45 = 0. Calculate the lowest common multiple of f and g.
33
Let w = 11782 + -11758. Calculate the least common multiple of 33/12 - (-1)/4 and w.
24
Suppose 3*b - 3 = 0, -3*b = 5*x - 2*b + 439. Let i = x + 105. Suppose s - i + 11 = 0. What is the least common multiple of s and 44?
132
Let y(x) = -x**3 + 47*x**2 + 153*x - 80. Calculate the smallest common multiple of 70 and y(50).
70
Let m = -8/540527 - 52414799/1102675080. Find the common denominator of 101/2040 and m.
2040
Suppose -66 = 2*f - 4*c, 5*c = 5*f + 9*c + 151. Let o = f + 43. Calculate the smallest common multiple of o and 2.
12
Let m = -2895/31108 + 6