t u = -48 + r. Suppose -15*x - 8 = -u*x. What is the lowest common multiple of x and 16?
16
Let w = 1689 + -1046. Suppose 319*v - 227*v - 460 = 0. What is the lowest common multiple of v and w?
3215
Let k(a) = a**2 - a + 10. Let d be k(11). Calculate the common denominator of 30/225 - (-3014)/d and 41/44.
44
Suppose 2*d - 33063 = -d. Let z = d - 3490. Let l = z - 105541/14. What is the common denominator of l and -43/10?
70
Find the common denominator of 1522/868 + (-4)/14 and (-2 - 1) + -1 - 1159/684*-6.
186
Let j(q) = 64*q**3 + 9*q**2 - 2*q - 8. Let o be j(-4). Let t = 23657/6 + o. Find the common denominator of t and (-25)/4 + 2/(-8).
6
Let f = 55905/143 + -5074/13. What is the common denominator of -3 - -2 - (-128)/154 and f?
77
Suppose -5*d + 63 = -5*n - 22, 3*n - 9 = 0. Suppose -36*u - d = -41*u. Calculate the smallest common multiple of 6 and 7/((-7)/u) + 46.
42
Suppose t - 56 = -3*t. Let o(i) = 44*i**2 - 2*i - 1. Let d be o(-1). Suppose -18*m = -d*m + 243. What is the lowest common multiple of t and m?
126
Let l = -1080 + -431. Let a = l - -861. Calculate the common denominator of (-2)/760*-2*a/(-8) and 83/20.
760
What is the least common multiple of 6554 and 120/20 - (-2 + -3)?
72094
Suppose 56*w - 150*w + 64860 = 0. Calculate the least common multiple of w and 276.
1380
Suppose -5*d + y + 129 - 21 = 0, 3*y + 60 = 3*d. Calculate the common denominator of (-357)/54 + (0 - 0) and -1 + (-31216)/(-5280) - 12/d.
90
Let i(w) = 8*w**3 - 1. Let d be i(1). Suppose -227 = -d*o + 81. What is the lowest common multiple of o and 33?
132
Let z(m) = m**2 - 19*m + 32. Let p be z(11). Find the common denominator of 278/p - (-27 + 19) and ((-5)/(-132))/((-4)/12).
308
Let u(n) = -n**3 - 11*n**2 - 7*n + 22. Let o be u(-11). Let a = o - 69. Let s(k) = k**2 - 17*k - 12. Calculate the lowest common multiple of a and s(18).
30
Let q = -131 - -88. Let i = q + -37. Let c = i - -81. Calculate the least common multiple of 9 and c.
9
Suppose 17613*j = 17568*j + 211680. Calculate the lowest common multiple of 16 and j.
4704
What is the common denominator of 4/(-23920)*-1882 - 16/40 and 40/31?
18538
Let d = -38 + 71. Let q = -23 + d. Let l = -7054 - -7072. Calculate the smallest common multiple of l and q.
90
Calculate the lowest common multiple of 7248/15 - (-8)/10 and 264.
2904
Suppose -8*g = -5*g - 255. Let m = -3 + g. Let c = -347 - -351. Calculate the lowest common multiple of m and c.
164
Suppose 16 = 4*m - 4*w, 2*w + 32 = -1395*m + 1400*m. Calculate the least common multiple of 48 and m.
48
Let s be -1*5 + 540111/(-364). Let b = 1489 + s. Find the common denominator of -83/60 and b.
420
Suppose -c - 2*k + 120 = 0, 4*k + 640 = 5*c + 6*k. Suppose 0 = -5*f - 3*u + 8*u + c, -4*f - 2*u = -128. Calculate the lowest common multiple of f and 6.
30
Suppose -g = -0*x - 2*x - 31, 0 = -5*x + 2*g - 77. What is the common denominator of 7/x - (-2)/(-10) and -26/17?
51
Let o = 3967877/56 - 70853. Calculate the common denominator of o and 115/252.
504
Let w(c) = -90*c**2 + 3162*c - 29. What is the smallest common multiple of 115 and w(35)?
1955
Let r = -73677 - -163268235/2216. What is the common denominator of -9/3878 and r?
15512
Calculate the common denominator of (-2)/(-7) - ((-645021)/(-45150) + (-58 - -44)) and 99/20.
4300
Suppose 0 = -3*u + o + 110, -15*o + 17*o + 115 = 3*u. Suppose 641 = u*l - 59. Calculate the least common multiple of 8 and l.
40
Let t = -7602 - -1064303/140. Find the common denominator of -1/490 and t.
980
Let x = 224 - 224. Calculate the common denominator of -43/155 and -1 - x - 19/((-209)/18).
1705
Let c(l) = 379*l**2 - l - 12. Let r be c(6). Calculate the common denominator of (-2)/(-5) + r/(-3240) and 59/8.
72
Let s be (2 - 2)/(-1) - 2*4. Let k be 2/s + 3/(-24)*14. Calculate the common denominator of ((-10956)/(-40))/11*k/(-12) and -59/10.
20
Let h = 11053/11 - 1013. Let d = 83/11 + h. Find the common denominator of (-185)/30*-3*1 and d.
22
Suppose 99*z - 6840 = 102*z. What is the common denominator of -107/48 and 6586/z + 34/323?
240
Let g = 85 + -79. What is the common denominator of (171/g)/(4 - 2 - 5) and -3 - 2/(48/22)?
12
Suppose -8*q + 108 = -4*q. Let h = -23 + q. Calculate the common denominator of 10/11 and 137/12*(h + -2).
66
Let x(c) = 68*c**3 + c**2 + c - 2. Let a be x(1). Let u = a - 59. Let z = 8 + 0. What is the lowest common multiple of z and u?
72
Let m = -2485 - -19973/8. Let n = 3986/13 + -46025/156. What is the common denominator of n and m?
24
What is the common denominator of -9/10 and (2/(-6))/((-690)/170 - -4)?
30
Let d = -26538/7 - -716323/189. What is the common denominator of d and (-2)/(-7) + (-1205)/1008?
432
Let w be (7/(-70))/((8/(-870))/2). Let o = w + -21. Calculate the common denominator of o and (-2)/(2*(-4)/(-190)).
4
Let b be -3 - ((-327 - 3) + 7). Find the common denominator of -5/4 and ((-664)/b)/(3/3).
40
Let f = 32561/11 + -2956. What is the common denominator of f and (1 - 3) + (-54)/(-14)?
77
Find the common denominator of 46/1397 and 402/(-272288)*50*1.
11176
Let x = -9386 + 9456. Calculate the lowest common multiple of 1092 and x.
5460
Let m be ((-16)/10)/(34/(-85)). Suppose -5*z + n + 84 = -z, m*n + 42 = 2*z. Find the common denominator of 412/9*z/112 and 31/6.
12
Let d = 47/7 - 230/77. Calculate the common denominator of -35/4 and d.
44
Suppose -k - z = 35, z - 6*z - 113 = 3*k. Let g = 27 + k. Calculate the common denominator of -113/20 and (-200)/128 - (-1)/g.
80
Calculate the smallest common multiple of 3956 and 1000/30 - (-29)/(870/(-100)).
59340
Let z = -2 + 8. Suppose 0*s + s = z. What is the common denominator of -13/3 and (-58)/(-42)*(-9)/s?
42
Let v = 18783/11420 + 3/571. What is the common denominator of 69/1000 and v?
1000
Let a = 398 - -333. Calculate the least common multiple of 7 and a.
5117
Let i = 6623 - 6569. Calculate the lowest common multiple of i and 252.
756
Let o = 23287/80 - 585/2. Calculate the common denominator of -157/90 and o.
720
Let t = 100387/100 + -1004. Find the common denominator of t and 13/946.
47300
Find the common denominator of (-5667)/1872 - 5/((-30)/18) and -3/52.
624
Let c(h) = -40*h - 88. Let q(m) = -8*m - 17. Let l(n) = 3*c(n) - 16*q(n). Calculate the smallest common multiple of 99 and l(8).
792
Let z = 3721 + -3490. What is the lowest common multiple of 252 and z?
2772
Let s = 29544 - 28318. What is the smallest common multiple of s and 3678?
3678
Let l(o) = -13*o + 45. Suppose 7*z - 6*z = 5*m + 83, 5*m + 93 = -4*z. What is the least common multiple of l(m) and 4?
532
Let u = 1/15432 - 216247/3070968. Calculate the common denominator of u and -1/1990.
1990
Suppose 2*v = -v - 45. Let f be 219513/14*(-1)/v. Let u = f + -1047. Calculate the common denominator of 39/4 and u.
20
Let x(t) = -12*t + 1611. Calculate the smallest common multiple of x(-22) and 27.
16875
Let q(h) = 6*h**2 - 12*h + 26. Let y be q(3). Let j = y - 28. Suppose -4*t = -20 + j. Calculate the smallest common multiple of t and 4.
4
Suppose j = 5, 16*m - 20*m - 4*j = 284. What is the common denominator of 4474/456 + (24/m)/(-3) and 35/66?
132
Find the common denominator of 13 + (-630182)/19670 - -19 and 7/1124.
5620
Suppose 0 = 5*t + 25 + 45. Let h(l) = l**3 + 16*l**2 + 20*l - 33. Calculate the lowest common multiple of 6 and h(t).
474
Let v = -434 + 280. Let j = -142 - v. What is the smallest common multiple of j and 12?
12
Let h = 1677/95 - 5977/570. What is the common denominator of 33/(-17) + 4/6 and h?
102
Let s(h) be the second derivative of -h**3 - 25*h**2/2 - 2*h + 5. Calculate the least common multiple of s(-6) and 89.
979
Let p be (-19460)/(-252) + 2/(-9). Let h = p + -73. What is the smallest common multiple of h and 45?
180
Suppose -a - 2*a = -186. Let y(n) = n**2 + 12*n - 3. Let l be y(-17). Let r = a - l. Find the common denominator of -2/15 and r.
15
Let t = -41 + 47. Let z(y) = 4*y**2 + 6*y - 20. Let n be z(-9). What is the lowest common multiple of 7 and n/15 - 1/(t/4)?
112
Suppose -9 = -2*f - f. Suppose f*o = 8*o + d + 1195, 0 = o + 5*d + 215. Let l = -160 - o. Calculate the least common multiple of 10 and l.
80
Let r be (3/(105 - -3))/(1734/166959). Let c = -1082680/3815667 + 2/224451. Let j = c - r. Calculate the common denominator of 77/30 and j.
120
Suppose -158