 = 2778/55 + -258/5. Calculate the common denominator of 346/518 + (-210)/s and q.
407
Suppose 10*q - 3*q = -28. Calculate the common denominator of -53/12 and 2 + q - 124*6/16.
12
Let b(l) = 15*l - 77. Let d be b(5). Suppose -3*k = -26 + 5. Calculate the lowest common multiple of 6 and 105/k*3/((-9)/d).
30
Let v(u) = -25*u - 1600. What is the least common multiple of 80 and v(-89)?
10000
Let c be ((-2117)/2)/((-7)/14). Let v = c + -4147/2. Calculate the common denominator of v and (26/40)/(2/(-25)).
8
Calculate the least common multiple of 155/620 + (-284)/(-16) and 1542.
4626
Let l = -184 - -187. Suppose 51 = l*m - 57. Calculate the lowest common multiple of 12 and m.
36
Let j be 5 + (-17 - (-12 - -6)). Find the common denominator of (j - -8)*(-82)/(-150) and -71/45.
225
Let i = -1/3129 + 13219/23989. What is the common denominator of 14/591 and i?
13593
Let w(u) = 8*u**2 - 3*u + 5. Let y be w(4). What is the least common multiple of y/5 - (4 - 1)/15 and 72?
72
Suppose -53*c + 2*q + 4726 = -51*c, -4*c = -5*q - 9451. Calculate the smallest common multiple of c and 15.
11820
Calculate the common denominator of (-1)/7 + 1375/1638 + 0 and -99/104.
936
Suppose 0 = -5*q + 4*f - 217, 34*q = 30*q - 2*f - 158. Find the common denominator of (6/(-28))/((-180)/4130) and q.
12
Let r be 2/2 + (-128116)/7440. Let i = -12160 + 5654386/465. Let d = r + i. What is the common denominator of -73/16 and d?
16
Let n be (-334)/(-206)*(-48)/9. Let k = 2/103 - n. Let o = -1417/10 - -9097/60. Find the common denominator of o and k.
12
Suppose -26*i + 12 = -20*i. Suppose -46 - i = -3*d. Suppose -3*y = -3*q, 5*q + 3*y + 9 - 41 = 0. What is the least common multiple of d and q?
16
Let g = 112218 - 29940. Let i be ((5/(-30))/1)/((-422)/g). Let z = 1/211 + i. Find the common denominator of 11/28 and z.
28
Let m = -68628/37 + 97723127/52688. Find the common denominator of m and 83/356.
1424
Let m = -27 - -25. Calculate the smallest common multiple of (-9)/(1*(-12)/16) and (2 - 5/5)/(m/(-44)).
132
Calculate the common denominator of 0 - (38/(-15) - 0) and (((-1386)/(-8))/63)/(2/8 + -2).
105
Suppose -2*r = -166 - 182. Let o = r - 123. Suppose 3*w - 5*h = 27, -o = 3*w - 6*w - 3*h. What is the smallest common multiple of 86 and w?
602
Let k = -621/8 - -2407/32. Let s = 32 - 17. Calculate the common denominator of k and 1 + (2 - s/6).
32
Let k be -1*38*12/(-8). Let p = k - 29. Suppose -3*f = -i - p, 5*f - 4*i + 2*i = 48. What is the smallest common multiple of f and 4?
8
Let g be (-17)/6*(-9 + 3). Let x = g + -16. Let d = -1 - -10. Calculate the least common multiple of x and d.
9
Let j = -61 + 65. Find the common denominator of -131/36 and j/8*202/(-40).
360
Let j be -7 + (-209603)/(-38) + (-5 - -1). Let y = j + -5506. Calculate the common denominator of y and -79/16.
304
Suppose -189*d + 7426 = -31*d. Calculate the lowest common multiple of 893 and d.
893
Suppose -2*d + 275 = l - 83, 5*d = -5. Suppose -5*m + 38 + 7 = 0. Suppose -m*y + l = 6*y. What is the lowest common multiple of 15 and y?
120
Let z = 913/42 - -15313/42. Let n be 94*(2 - (2 + -4)). Let o = z - n. Calculate the common denominator of o and 21/5.
15
Let k = -136/37 + 5297/666. Let f = -1106257/1048050 + -1/58225. Find the common denominator of f and k.
18
Let p(v) = v + 7. Let y be p(-4). Calculate the smallest common multiple of 3/(-9) - (-67)/y and 2.
22
Suppose 0 = -194*a + 207*a + 208. Suppose 0 = -4*f - 94 + 14. Let w = a - f. Calculate the smallest common multiple of w and 10.
20
Let d = -60938015/356 + 171174. What is the common denominator of d and 53/1424?
1424
Let a(x) = x**2 - 2*x - 4. Let d(g) = g**3 + 9*g**2 + 5*g + 28. What is the lowest common multiple of a(-4) and d(0)?
140
Suppose 0 = 4*u + 3*w - 13, -4*u + 3*u = -w - 5. Suppose 6*y + u = 70. What is the smallest common multiple of 24 and y?
264
Suppose -2*f + 4 = -5*g, -6*f + 8 = -4*g - 2*f. Let n be g + (-6)/8 - (-159)/4. What is the common denominator of (6 - 2) + ((-9)/n - 1) and -30?
13
Suppose 45*p - 49*p = 32. Let c(n) = n**3 - 3 - 13 - n**2 - 19*n + 7*n**2. Calculate the lowest common multiple of c(p) and 14.
56
What is the common denominator of 95/112 and ((-91)/(-3822))/((-4)/498)?
112
Let j = -5199/928 - -167/29. Find the common denominator of 145/402 and j.
6432
Suppose 0 = -s + 11 + 42. Suppose 117 = 17*r - s. What is the least common multiple of r and 70?
70
Let z(o) = -1124*o - 5605. Let c = -37 - -58. Calculate the lowest common multiple of c and z(-5).
105
Suppose -3*h + 140 + 91 = -3*b, -3*h = -2*b - 159. Let z be ((-6)/4*-1)/(b/96). Find the common denominator of ((-1)/z)/((6/(-268))/1) and -11/21.
21
Let m(x) = -2*x**2 - 216*x + 1484. Calculate the lowest common multiple of 3 and m(-113).
354
Calculate the common denominator of 34/441 and ((-21)/28)/(11907/1314).
882
Let n(q) = 13*q + 172. Let i be n(-14). Calculate the common denominator of 363/(-36) - (7 + i - 1) and -65/2168.
6504
Let i = 222 - 14017/63. Calculate the common denominator of i and (-4 + 861/252)*138/(-63).
126
Suppose 2*x = 3*x - 6. Suppose 19*k - 176 = 227 + 167. What is the lowest common multiple of k and x?
30
Suppose a - 42 = -36. Suppose 30 = k + 4*b, 2*k - 84 = 5*b - b. Suppose -6*u = 5*m - 2*u - k, -5*m + 3*u = -24. What is the least common multiple of a and m?
6
Let i = 366 - 360. Suppose -i*f = -9 - 39. What is the smallest common multiple of (20/(-3))/(1/(-6)) and f?
40
Let n(u) be the third derivative of u**5/20 + 3*u**4/8 + u**3 - 19*u**2 + 1. What is the lowest common multiple of 14 and n(-13)?
2772
Let t = -120337/36 + 3346. Calculate the common denominator of t and -55/678.
4068
Let q be (-10)/(-8) - (7 - 162/24). What is the least common multiple of 6 and (-1)/(q/(-2)*1)?
6
Let m = 6883 + -6793. Calculate the smallest common multiple of 1755 and m.
3510
Suppose 0 = -28828*y + 28839*y - 1870. What is the smallest common multiple of 50 and y?
850
Let x = 88645/168 + -3702/7. Let h(f) = 5*f**3 - 2*f**2 - f. Let d be h(-1). Find the common denominator of x and (-5)/d*69/(-15).
24
Let c(z) = -z**3 + 7*z**2 + 8*z + 2. Let f be c(8). Let b(x) = x**3 - x**2 + 5*x - 5. What is the smallest common multiple of 12 and b(f)?
36
Let y be -3 - -257 - (-2)/8*0. Find the common denominator of y/120 + 40/48 and -95/44.
220
Let c be 3*-1 + (-4 - -340)/(-3). What is the smallest common multiple of 22 and (776/(-5))/(46/c)?
4268
Let g = 60571/27 + -2243. Let q = -339657 + 3062237/9. Let f = q - 597. Calculate the common denominator of f and g.
27
Let g = 27 + -35. Let c(a) = -9*a - 16. Calculate the smallest common multiple of (2/g)/((-2)/56) and c(-5).
203
Suppose d = 3*l - 203, 0 = 22*l - 24*l + 2*d + 130. Suppose 18 = -l*a + 72*a. Calculate the smallest common multiple of a and 18.
18
Let f(b) = 386*b - 6146. Suppose 2*k - 2*i = -4*i, 4*k + i - 9 = 0. Calculate the lowest common multiple of f(16) and k.
30
Let y(a) = -a**2 - 19*a + 61. Let b be y(-21). Suppose b*q + 20 - 324 = 0. What is the least common multiple of q and 28?
112
Suppose 3*a + s + 255 = 3*s, -2*a = 4*s + 154. Let h = a - -127. Calculate the lowest common multiple of 5 and h.
220
Let f = -25642 + 11333837/442. What is the common denominator of 238/28*(-3)/(5 + -2) and f?
442
Let u = 23 - 21. Suppose -35 = -3*j - 2*g, 0*j - 5*j + 57 = u*g. Suppose x - j = 6. What is the least common multiple of x and 8?
136
Suppose -26 = -t + 608 - 26. What is the least common multiple of 3116 and t?
24928
Let f be 46/18 - 68/(-153). Suppose -2*v + 40 = -f*x, -9*x - 49 = -3*v - 10*x. Calculate the smallest common multiple of v and 32.
544
Let f(y) = 51*y**2 + 62*y - 464. Calculate the least common multiple of f(9) and 11.
46475
Let t = 539232/43 + -12541. Let y = t - -9/43. What is the common denominator of y and 6/11?
473
Let i = 254/53 + 2/265. Find the common denominator of (-55)/(-20) + (-663)/52 + 707/116 - -3 and i.
580
Suppose 3*k - 24 = 2*q - 3*q, -2*k - q = -16. What is the smallest common multiple of ((-16)/28 + 48/(-56))/((-2)/7) and k?
40
Let j = 3743/16 - 471/2. What is the common denominator of -1 - -1 - 1072/(-32) - -1 and j?
16
Let q = 1535 + 937. Let s = q - 17275/7. Calculate the common denominator of s and 47/10.
70
Let z = 199 - 310. Calculate the common denominator of (-1)/(-2) + z/12