t is the lowest common multiple of 12 and n?
60
Find the common denominator of 62/(-80) - 1012/(-2530) and 67/585.
4680
Let q be (-5)/((-270)/(-1811))*62. Let v = q + 2079. What is the common denominator of v and 107/12?
108
Let h = -1/7308 + -2939/5225220. What is the common denominator of -25/12 and h?
8580
Let k = 16368 - 14634. What is the lowest common multiple of 1020 and k?
17340
Suppose -786 = 2*i + 5*x + 405, 0 = -i - 4*x - 600. Let y = i + 628. Calculate the smallest common multiple of y and 84.
840
What is the common denominator of (-1)/(-6)*171/30 and ((-650)/16)/(-5) + -1?
40
Find the common denominator of 136/(-84) - 2/(-8) and (-43775)/(-2472)*(-5)/((-225)/(-6)).
252
Suppose 0 = -2*a + 9*a - 15708. Find the common denominator of (-48)/72 + 3401/a + -1 and -121/12.
2244
What is the lowest common multiple of ((-44)/132*-307*4)/(4/6) and 3?
1842
Let b(v) = 5*v**3 + 6*v**2 - v - 1. Let k(p) = -7*p**3 - 8*p**2 + 2*p. Let a(r) = -4*b(r) - 3*k(r). What is the lowest common multiple of a(2) and 1?
8
Let r be 9 + (-1 - -2 - 5). Suppose -q - 2*m + 47 = 0, 5*q - 204 + r = -m. Suppose 14*b = 40 + 2. Calculate the lowest common multiple of q and b.
39
Suppose -2*c - 32 = -4*c. Let g be ((-417)/c)/(5/484). Let j = g - -2522. Calculate the common denominator of j and -91/48.
240
Suppose -3*b = -2*x + 156, -3*b - 177 = -0*b + 5*x. Calculate the common denominator of 101/10 and ((-24)/b)/(50/465).
30
Suppose -109 = -5*y - 14. Calculate the common denominator of (-2627)/142*((-5)/2 + 2) and y/(-1) - (2 - 0).
4
Suppose 3*y = y - 4, 0 = -2*q - 2*y + 68. What is the least common multiple of q and 48?
144
Let f(x) = -27*x + 77. Let j(w) = -w + 2. Let s(u) = -f(u) + j(u). What is the least common multiple of s(3) and 21?
21
Let v = -125086058/33865 + 17129/2605. Let z = 3687 + v. Find the common denominator of 39/40 and z.
520
Let h = -114260 + 114494. Let a = 1 + 1. Calculate the lowest common multiple of a and h.
234
Suppose 23 = 5*q + 158. Find the common denominator of -31 - 6175/(-225) - 2/9 and 62/(-90) - 6/q.
45
Let g = -30 - -32. Let v(w) = -w**2 - 13*w - 3. Let o(r) = -5*r**2 - 64*r - 14. Let z(c) = g*o(c) - 11*v(c). Find the common denominator of z(-9) and -45.
1
Let x be (-78582)/28*3/(-396). Let s = -205/11 + x. Find the common denominator of s and -53/22.
88
Let v(n) = -n**2 + 12*n + 19. Let r be v(5). Suppose -r = -2*b - 0. What is the lowest common multiple of 15 and b?
135
Suppose 0 = 6*l - 3*l - 3*z + 114342, z - 1 = 0. Let t = l + 422957/11. Let k = -43831/132 + t. Find the common denominator of k and 89/8.
24
Calculate the common denominator of ((-2)/(-378))/((-10)/618) and -4 + (-469)/(-70) + -10*(-4)/(-8).
630
Suppose -552*m + 55868 = -10372. Let k(o) = 104*o**2 + 2*o - 1. Calculate the least common multiple of k(1) and m.
840
Let v = 156 - 142. Suppose 0 = -2*m + s + 143, -4*m + v*s - 10*s = -276. Calculate the lowest common multiple of 3 and m.
222
Let m = 36 + 894. Calculate the lowest common multiple of 651 and m.
6510
Let o(d) = 11*d + 44. Let i be o(-4). Suppose -436 = -4*q - 4*l, i = 4*q - 2*l + l - 451. Calculate the least common multiple of q and 98.
784
What is the common denominator of (-86)/17*(17 - 66/4) and -59/65?
1105
Let o = -561 + 591. What is the smallest common multiple of ((-8)/(-14))/(o/4515) and 6?
258
Let b = -543/5473 + -37676809/2254876. Let g = 6/103 + b. What is the common denominator of -7/8 and g?
8
Suppose 2*i = 4*z - 8778, -z - 91*i + 2268 = -81*i. Calculate the lowest common multiple of z and 238.
37366
Let n = 36718535/156 - 235376. What is the common denominator of (-1025)/60*2/30 and n?
468
Suppose 176*a - 75*a - 1658 = 21370. Calculate the smallest common multiple of a and 152.
456
Suppose 5*h - 4*m - 20 = -31, 0 = -h - m + 5. Find the common denominator of ((3/h)/(-30))/(2/(-12)) and -101/2.
10
Let n = -761 - -816. Let r = -6 - -62. Suppose -r - 109 = -3*m. What is the lowest common multiple of m and n?
55
Suppose 5*v = 3*h + 41, -4*h + 0*h + 12 = 0. Calculate the smallest common multiple of v and 1938.
9690
Suppose 0 = 2*g, -102 - 46 = -2*n - 5*g. Suppose -r = 4*s - 48, -2*s = 82*r - 79*r - 74. What is the smallest common multiple of r and n?
740
Let p(h) = -h**3 + 17*h**2 - 10*h + 8. Let u be p(16). Let a = -2/22779 + 1571771/227790. What is the common denominator of ((-39)/u)/((-45)/(-318)) and a?
20
Suppose -3 = -d - 0. Suppose -3*t = -c + 3, -d*c + t + 2*t + 15 = 0. Suppose -3*s = 2*s - 50. Calculate the smallest common multiple of s and c.
30
Let z = 65/4 - 97/8. What is the common denominator of z and -19/400?
400
Suppose -84*f + 2012 + 1408 = -46*f. What is the lowest common multiple of f and 1602?
8010
Calculate the common denominator of 18*1/2 - 18060/2014 and 85/4.
4028
Let b = 205214068/975 - 210476. What is the common denominator of 43/1300 and b?
3900
Suppose -5*r - 2*s + 705 = 0, -4*r + 177 + 394 = 3*s. Suppose 0 = 21*t - 20*t - r. What is the smallest common multiple of (-1)/((-5)/(t + -4)) and 33?
297
Let i(d) = -35*d**3 + 9*d**2 + 9*d + 1. Let n be i(-1). Suppose 52*m - n*m = 64. What is the least common multiple of m and 212?
212
Let v(g) = 159*g**3 - 16*g**2 - 11. Let k(p) = -32*p**3 + 3*p**2 + 2. Let c(f) = -11*k(f) - 2*v(f). Calculate the lowest common multiple of c(1) and 78.
858
What is the common denominator of -23/9999 and (-4 - (-1700)/442) + (-382)/(-286)?
9999
Let t = -484 + 486. Calculate the common denominator of t/5 - -26*(-74)/360 and -109/72.
72
Let k(t) = -3*t**2 - 4*t - 6. Let r be k(-9). Calculate the common denominator of 618/168 - (-1 - -2) and -1 + -1 + r/18.
84
Let c(n) be the first derivative of -1/2*n**4 - 3*n**2 + 14 + 2*n + n**3. Calculate the smallest common multiple of c(-4) and 22.
2222
Suppose -b - 16 = -46. Let v = -221 - -165. Calculate the smallest common multiple of b and v/14 + 34/1.
30
Let y = 4 - 54. What is the smallest common multiple of 33 + -10 - 9 - -142 and 36/45*y/(-4)?
780
What is the smallest common multiple of 5 and (-1101)/(-5) + 1 + 64/80?
1110
Suppose 2*a - 5*x = -36, -2*a + x = 9 + 27. Suppose 2*y = -j + 50, -y - y - 2*j = -46. What is the lowest common multiple of -5*(-2 + 2 - a/(-15)) and y?
54
Let d(f) = -19*f + 2. Let k be d(-2). What is the least common multiple of 3 + -5 + 4 - (3/(-1) + 1) and (-223)/(-5) - (-16)/k?
180
Let k = 2/104151 - 2604199/22080012. Find the common denominator of k and -57/298.
31588
Let p = 10/1277 + 64907/28094. Calculate the common denominator of 27*27/2916*-82 and p.
22
Find the common denominator of 658531/1498080 + (21/(-10))/3 + 1 and 49/132.
1056
What is the common denominator of 7370/(-118492)*(-2)/20 and -61/10?
53860
Let g(y) = -83*y + 290. What is the lowest common multiple of 1550 and g(2)?
3100
Suppose -4*x = -5*s + 72, 5*s + 4*x - 105 = 23. What is the lowest common multiple of 4616 and s?
23080
Suppose 7 = x - 5. Let q(f) = -f**3 - 26*f**2 + 55*f - 26. Let y be q(-28). What is the least common multiple of x and (3*31/(-6))/(y/(-16))?
372
Let t(y) = 3*y**2 - 40*y - 182. Calculate the least common multiple of 1660 and t(-6).
1660
Let i = -3981137/766 + 20789/4. Calculate the common denominator of i and 21/44.
16852
Let k = 61 - 56. Let o be ((-24)/15)/(-1)*k*1. What is the lowest common multiple of 66 and 85/(-34)*o/(-2)?
330
Suppose 2*m = 4*m - 90. Let n = 2538 - 2535. Calculate the least common multiple of n and m.
45
Let r be -4 + 4 - (62 + -1). Let b = r - -79. Suppose -2*g = 10*g - 216. Calculate the smallest common multiple of b and g.
18
Let c = -49 + 85. What is the common denominator of -51/352 and (-153)/(-6)*((-70)/c - -2)?
1056
Let h(a) = 3*a + 5. Let p be h(-1). Suppose 33 = -k + p*k. Let u(v) = v**3 + 6*v**2. What is the least common multiple of u(-3) and k?
297
Suppose -132*l = -2*i - 134*l + 98, -4*l + 43 = i. Find the common denominator of 111/448 and ((-133)/(-42))/(2 + i/(-27)).
448
Let c = 12804 + -12732. What is the lowest common multiple of 1568 and c?
14112
Let y = 17279/22 + -787. Let c = y - -23/11. Calculate the common denominator of c and 53*(-3)/(-36)*1.
12
Let d = 1/9555 - 81754/54145. Calculate the common denominator of -145/12 and d.
204
Let z(j) = -6*j + 756. Calculate the least common multiple of 51 and z(15).
11322
Let t be ((-30)/(-40))/((-2)