78
Suppose 26*v - 2283 = 265. Calculate the common denominator of ((-43)/30)/(-2 - v/(-21)) and 63/10.
80
Let d = 8746/17 + -680063/1326. Calculate the common denominator of d and ((-12831)/188 - -55)*6/81*-6.
234
Let t = 365 - -7. Let d = t - 13026/35. What is the common denominator of d and 1/49?
245
Let f = -6903 - -6921. Calculate the smallest common multiple of f and 4130.
37170
Let h = -24959 - -24970. What is the least common multiple of 4634 and h?
50974
What is the common denominator of 6 + -6 + -3*95/80 and -125/36?
144
Let s = -59 - -82. Suppose q - s - 44 = 0. Suppose -5*p = 2*z - 3*z - q, -4*p = -z - 53. Calculate the smallest common multiple of 7 and p.
14
Let w(l) = -l**3 + 11*l**2 + 13*l - 8. Let x be (-3)/5 - 441/(-35). What is the smallest common multiple of w(x) and 6/21 - (-12)/7?
4
Let m = 233/18 + -1367/126. Calculate the common denominator of m and (-480)/(-40)*12*(-52)/3861.
231
Let p = -166/43 - -4653/860. Let j = -58 - -54. Calculate the common denominator of 1368/(-480)*(-5)/j and p.
80
Let m(v) = 4*v**3 - 9*v**2 - 6*v + 40. Calculate the least common multiple of m(4) and 144.
1152
Calculate the common denominator of ((-430)/(-1548))/(-2 - -28) and 50/819.
3276
Suppose -284 = 4*m - 2*y, 0 = 17*m - 20*m - y - 223. Let z = m - -83. Suppose 0*c - 10 = -2*c. What is the smallest common multiple of z and c?
10
Let r = 37 - 21. Calculate the lowest common multiple of -1 - -10 - -56*(-18)/(-144) and r.
16
Let s(o) = -9*o + 313. Suppose -108 = -6*t + 42. What is the smallest common multiple of s(22) and t?
575
Suppose -2*k - 5*f + 2301 = -5*k, -f - 775 = k. Let d = k + 13829/18. What is the common denominator of 3/9*100/(-24) and d?
18
Suppose 4*l = 135 - 23. Suppose l - 12 = a. Suppose 0 = -4*y + 4*k + a, 5*y + 2*k + 5 = 6*y. Calculate the smallest common multiple of y and 11.
33
Suppose n + 4*v = -4*n - 14, 4*v = -n - 6. Calculate the least common multiple of 77 and 1/((-4)/(-132)) + 4 + n.
385
Let d = -524802 - -379956587/724. What is the common denominator of -67/8 and d?
1448
Let w = 4714 + -9568. Let x = -2163 - w. Let b = x + -61909/23. Find the common denominator of -53/2 and b.
46
Suppose -3*a - 464 = 3*q - 3560, 4*a = -3*q + 4122. Calculate the smallest common multiple of a and 86.
44118
Let q = 5526257 + -4564687401/826. Let v = q + 2/413. What is the common denominator of v and 2/10*2235/18?
42
What is the least common multiple of -36 - -10 - 295/(-5) and 627?
627
Calculate the smallest common multiple of 1512 and 282/611 + 4200/26.
4536
Let u(m) be the third derivative of -m**5/60 - m**4/8 + 4*m**3/3 - 17*m**2. Let d be u(-6). What is the least common multiple of 4 and (-3)/15 - 392/d - 3?
36
Let g be -26*((-3)/2)/(-3)*-13. Let o = g - 157. What is the lowest common multiple of o and 18?
36
Let o = -3056 - -3245. What is the least common multiple of 243 and o?
1701
Let f = 298 - 295. Let i(u) = 11*u**2 - 2*u + 6. Calculate the lowest common multiple of i(f) and 21.
693
Let j = 61234847/250 - 244939. What is the common denominator of 31/8 and j?
1000
Let c = 61/162 + -197/81. What is the common denominator of -97/2702 and c?
24318
Let l = -788127815/858 - -918564. Find the common denominator of l and 86/105.
30030
What is the least common multiple of 6231 and 2/(-9 - 1) - (-97692)/210?
31155
Let r = 21684 - 21664. Suppose 2*m = 4*f + 4, 0*m + m - 5 = f. Calculate the least common multiple of m and r.
40
Let k(x) = x**2 - 8*x - 5. Let g be k(9). Suppose -g*w = -5*w + 3. Suppose 4*l + l + 5*o = 120, 0 = -o. What is the least common multiple of l and w?
24
Let z = -7917 + 7938. Calculate the lowest common multiple of 91 and z.
273
Suppose 0 = 18*b + 163 - 451. Find the common denominator of -89/18 and 267/(-144) + 0 - (b - 20).
144
Suppose l - 16 = -4. Let b be -4*(18/45)/(16/(-190)). What is the least common multiple of l and b/1 - (6 + 1)?
12
Calculate the common denominator of (-75)/40 + 1710/(-3600) and 99/232.
1160
Let x = -39262 + 272378/7. Let v = x + 216261/616. What is the common denominator of v and -57/16?
176
Suppose -6*y + 4*y = -8. Let o be 6/y*568/12. Let h = o - 63. What is the lowest common multiple of h and 56?
56
Suppose 2*r - 7*r + 105 = 0. Let s(q) = 550*q**3 - q**2 + 3*q - 3. Let l be s(1). Let p = l - 519. Calculate the least common multiple of p and r.
210
Let y = -57 - -59. Suppose -2*a = -y*j + 40, a = -3*a. Suppose 84 = 5*w + 3*m, -5*w - m + 2 + 86 = 0. What is the lowest common multiple of w and j?
180
Let x = 1/25 - -14918/175. Let y = -2/7769 - -4863408/54383. Let h = x - y. Calculate the common denominator of -49/3 and h.
21
Calculate the common denominator of 1/(8/(-6))*19 and 2*9/30 + 12 + 29493/(-1980).
44
Let v be (-7826 - 3)/((-576)/(-306)). Let h = v + 4158. What is the common denominator of h and 41/32?
32
Let u = -13519/6 - -2250. Calculate the common denominator of 137/42 and u.
42
Let t be 2023877*10/(-72)*(-14)/(-105). Let u = t - -37478. Find the common denominator of u and -103/6.
54
Let w(a) = -a**3 - 32*a**2 - 240*a + 49. What is the lowest common multiple of w(-20) and 462?
3234
Let s = 310 - 318. Calculate the least common multiple of (2 + s)*6/(3 + -5) and 8.
72
Let f be (1 - -153)*(-15)/10. Calculate the common denominator of -74/81 and (-13)/f - 46/(-253).
567
Let z(w) = -11*w**2 + 14*w. Suppose 0 = 2*v + 3*h - 27, -40*v + 38*v + 3*h - 3 = 0. Calculate the least common multiple of z(1) and v.
6
Let w = 376 - 487. Let d = w - -276. Calculate the least common multiple of d and 9.
495
What is the common denominator of (-18)/(-45) + 0 + (-212)/120 and 59/591?
5910
Let d = 4132 + -3992. Calculate the least common multiple of d and 210.
420
Let b(t) = -t**3 + 5*t**2 - 4*t - 2. Let i be b(4). Calculate the common denominator of 10/(-6) - 65567/2274 and i + 2 - 135/(-12).
4
Let s = -1132 - -32822/29. Let u = 108 + -94. Find the common denominator of s and (7 - -7)/(-2 + -2 + u).
145
What is the smallest common multiple of (24/(-8))/(-1)*25 and 100?
300
Let h(q) be the second derivative of 13*q**4/6 - q**2 - 44*q. Calculate the lowest common multiple of h(1) and 64.
192
Let g(z) be the second derivative of z**5/20 - 7*z**4/12 + 11*z**3/6 - 16*z**2 - 23*z + 2. What is the least common multiple of g(7) and 10?
90
Find the common denominator of (3/(-30) + 1)/(3/6) and ((-6)/(-18))/(-1*26/114).
65
Let d = -3707096/319 - -11621. Let f = -27127/1276 + d. Find the common denominator of -83/36 and f.
36
Let h(l) = 109366*l**2 - l + 1. Let k be h(1). Let p = k - 15529907/142. Calculate the common denominator of (-30 - -3)/(-2*4) and p.
568
Let w be 2/(-9) - 8276/18. Let l = 4607 - 18427/4. Find the common denominator of l and w/(-48) + (-3 - -1).
12
What is the common denominator of 71/153 and (2/102)/(15 + 8619/(-572))?
153
Let f = -8027921/630 - -89188/7. Calculate the common denominator of f and 1/207.
2070
Calculate the least common multiple of 10 and (-72)/(-18) + (-11)/(22/(-292)).
150
Let s = -57309 + 4355391/76. Calculate the common denominator of s and (27/4)/((-2)/(-6)).
76
What is the least common multiple of ((-228)/(-285))/(((-4)/(-295))/2) and 1?
118
Suppose 4*i - 80 = -4*u, 0*i + 2*u + 14 = i. Suppose 48 = 9*j - j. Suppose -5*t + j*b = 5*b - 74, t - 18 = b. What is the smallest common multiple of i and t?
126
Suppose -7762 = 3*t - 4*t. Let s be (5/40)/(((-4)/207310)/((-108)/(-90))). Let w = s + t. Calculate the common denominator of -61/9 and w.
72
Let c = 99257/134200 + -3/3050. What is the common denominator of 63/638 and c?
2552
What is the smallest common multiple of 2408 and 5 + -15 - (-4836)/(-3 + 5)?
2408
Let z(c) = -2*c + 6. Calculate the smallest common multiple of (-2*(-8)/(-20))/(6/(-45)) and z(-12).
30
Let n = 1795 - 3265. Find the common denominator of 97/18 and -7 - 7/n*1857.
630
Let c be ((-1220)/15)/(6/(-27)). Suppose c + 42 = 2*o. Calculate the least common multiple of o and 20.
1020
Let u be (-1768)/(-44) + 34/(-187). Calculate the smallest common multiple of u*(31/12 + (-24)/72) and 54.
270
Let a = 25098 + -23697. Calculate the lowest common multiple of 15 and a.
7005
Let c be (30/405)/((-1)/51384). Let k = -3802 - c. What is the common denominator of -37/9 and k?
9
Suppose 99 = 7*j + 85. Let m(b) = 6*b**2 - b + 1. What is the lowest common mult