ose -2*w + 4*r - 3*r = -71, 0 = -2*w - r + 65. Let b = -29 - -5. Let y = b + w. What is the smallest common multiple of 2 and y?
10
Suppose -110*j = -33*j - 42*j - 70. Let q(o) = o**3 - 2*o**2 + 3*o. Let v be q(2). Let d(z) = 24*z + 2. Calculate the lowest common multiple of j and d(v).
146
Let v = 355678302/61 + -5827558. Let k = -3234 + v. Let w = -3943/610 - k. What is the common denominator of -25/11 and w?
110
Let i(c) = 329*c - 340*c - 231 - 27. What is the lowest common multiple of i(-33) and 12?
420
Let r = 1125 + -1090. Calculate the smallest common multiple of r and 1840.
12880
Suppose -4*q + 158 = 3*x, -x + 48 = -7*q + 6*q. What is the common denominator of -68/15 and (-20)/x + 48/(-220)?
165
Suppose -4*v - 24 = -4*y, -2*y - 3*v = -4*y + 17. Let f = y + 8. Suppose 0 = -7*q + f*q - 16. What is the smallest common multiple of q and 16?
16
Let k be 6/(-2) - 10 - -3. Find the common denominator of 19/18 and k/(1 + -6) - (-155)/300.
180
Let a = -510471/4 + 116387279/912. What is the common denominator of -79/8 and a?
912
Suppose -4*f = 3*s - 529, 5*s - s + 4*f - 704 = 0. Suppose 244 = 4*p + 2*a, 2*p + 5*a - s = -69. Calculate the smallest common multiple of p and 27.
189
Let g = -50793/28112 - 10/1757. Let v be 3/(6*1/52). What is the common denominator of (-4)/v - 1115/7540 and g?
464
Suppose -5*j + 10396 = 3926. Let b be (-2 + 2591/j)/(42/56). Let z = 5803/6470 + b. Find the common denominator of 3/2 and z.
10
Let g = 3641487823/1826 + -1994243. Find the common denominator of g and -113/18.
16434
Let w be (-5 - -10) + ((-4204)/525 - -3). Let r = 6646/525 - w. What is the common denominator of 53/45 and r?
45
Let l = -8180306/185 - -44218. What is the common denominator of 19/10 and l?
370
Let m = 18909/176995 - 92/389. Find the common denominator of m and -3/1495.
10465
Let c(y) = 4*y - 52. Suppose -u + 10 = 4*s - 13, 0 = -3*u - 4*s + 53. What is the lowest common multiple of c(u) and 108?
216
Let r = -24961/172710 - 19/6060. Find the common denominator of r and -59/114.
684
Let x = -6235 - -6266. Calculate the least common multiple of 1116 and x.
1116
Suppose 4*g - 542 = 3*y - 140, 4*g = -2*y + 392. What is the least common multiple of g and 572?
5148
Calculate the smallest common multiple of 2 and -14 - (-553 - (1 + -9)).
1062
Suppose -1471 = -2*i + 3*c - 303, -6 = 3*c. Calculate the least common multiple of i and 581.
581
Let j = 15 + -21. Let i = j - -5. Calculate the common denominator of 149/6 and i/(24/(-98)) - (10 - 7).
12
Let z(s) = s**2 + 4*s + 6. Let j(y) = y**3 + 2*y**2 + y - 2. Let b be j(-2). What is the least common multiple of ((116 + -8)/6 - 14/2) + -3 and z(b)?
24
Calculate the common denominator of 24/179 and 23751/4060 + (0 - (-6)/8).
895
Let o = 337/10 + -45/2. Calculate the common denominator of 1 - -66*2/(-10) and o.
5
Suppose 3*v - 10 - 2 = 0. Let y = 27489 + -27479. Calculate the least common multiple of y and v.
20
Let y be (6054/(-260) + 1)/(-87 - -85). Let g = y + 86/195. Calculate the common denominator of g and -47/12.
12
Let w be 6648948431963/11587560 + (-3)/1. Let b = 280011805/488 - w. Let n = 7/1583 - b. What is the common denominator of -93/4 and n?
60
Let a(n) be the first derivative of -3*n**2 + 90*n + 27. Calculate the least common multiple of 48 and a(6).
432
Suppose 0 = 5*o - 48 - 32. Let z be 35*(-1 + (8 - 3)). Suppose 0 = 13*k - 6*k - z. Calculate the least common multiple of o and k.
80
What is the least common multiple of ((-1920)/(-576))/(22/(-12) + 2) and 95?
380
Let s be 62 + -29 + -1 + 1. What is the least common multiple of s/(-2)*(28/(-6) + 4) and 62?
682
Let o = 12884618879/284925 + -331059/6550. Let a = o + -45171. What is the common denominator of a and 11/12?
348
Suppose 4*f + 5*w - 3665 = 0, -f - 471 = -3*w - 1400. What is the least common multiple of 140 and f?
6440
Let s(f) = f**3 - 2*f**2 - 15*f + 2. Let a be s(5). Suppose 5*h = -m + 104, -4*h + a*m - 7*m + 100 = 0. What is the lowest common multiple of 10 and h?
20
Let c be (48/(-96))/((-2)/760). What is the common denominator of (2/32*19)/(c/228) and 79/30?
120
Let q = 14 - 19. Let t = -9081/28 - -1301/4. Calculate the common denominator of t and q/(-17)*(-155)/(-30).
714
Let y be (-165)/25*(35 - -10). Let t = y - -303. Calculate the lowest common multiple of t and 4.
12
Let b be 2/4*(-924)/22. Calculate the common denominator of 190/(-48) + ((-14)/b)/2 and -21/116.
232
Suppose -2*w - m + 7 = 0, m = w + 2 - 13. Suppose 0 = -0*q - q + w. Suppose -q*g = 3*g - 54. What is the least common multiple of 12 and g?
12
Suppose 2*w - u + 2 = 3*u, -5*w + 5*u + 20 = 0. Suppose 0 = -0*v + 7*v + 259. Let f = -26 - v. Calculate the smallest common multiple of w and f.
99
Suppose 0 = -6*j - 149452 - 8420. Let b = 171610/9 + j. Let s = -7236 - b. What is the common denominator of -45/11 and s?
99
Let r(f) = -492209*f - 2. Let k be r(6). Let w = -23659035/8 - k. Let c = -4115 - w. Calculate the common denominator of c and 59/20.
40
Suppose -3*f = -2*y - 16, -f - 9*y + 5*y = 4. Suppose -3*v - 20 - 25 = -d, 20 = -4*v. Suppose -30 - d = -6*u. What is the smallest common multiple of f and u?
20
What is the common denominator of 45616/(-6048) - (-16)/2 and -157/126?
378
Suppose 4723 = 30*b - 4517. What is the least common multiple of 44 and b?
308
Let s = 78218776/3075 + -25437. Let c = s + 310559/49200. Find the common denominator of c and ((-2)/10)/(12/(-1510)).
48
Let o(g) = -g**3 - 16*g**2 + 84*g + 85. What is the smallest common multiple of (-404)/(-10) + (-8)/20 and o(-20)?
40
Let u(i) = -311*i + 12. Let r(b) = -2*b + 2. Let k be r(4). What is the lowest common multiple of (-2)/(-6) + (-574)/k and u(0)?
96
Suppose 2*j + 3*i - 15 = 0, 6*j - j - 75 = 5*i. Suppose -16*f + 82*f - 8514 = 0. Calculate the lowest common multiple of f and j.
516
Let i = 823/5 - 13003/80. What is the common denominator of 21/1168 and i?
1168
Let y = -6435763 - -90344017/14. Let t = y - 17389. Calculate the common denominator of t and 69/28.
28
Let m be -2 + 0 - 41*(6 - 8). Let a = 84 - m. What is the lowest common multiple of a and 20?
20
Let b = 184715 + -62064139/336. What is the common denominator of -4/147 and b?
2352
Let r be -1 - (-1)/2*6. Suppose 8 = -2*d, -26 = -r*n - n + 5*d. What is the lowest common multiple of 0 - (-11 - 1 - (-15 + 13)) and n?
10
Let a = -575 + 563. Calculate the smallest common multiple of (36/a)/(6/(-80)) and 88.
440
Suppose 2*x - 20 = 4*b, -6*b = -4*x - 8*b + 60. What is the common denominator of 107/24 and 4/x - 2822/5712?
24
Calculate the common denominator of ((-8)/(-315))/((-2)/(-95)) and (-51)/(-102)*(-1)/21*7140/(-72).
252
Suppose 32*j - 34*j = 20. Find the common denominator of -59/80 and (4 - (-45)/j)/((-84)/(-309)).
560
Let s be (0 + -2)/(5/((-1300)/(-8))). Let q = -69 - s. What is the common denominator of q + (-147)/24 + -1 and -87/20?
40
Calculate the common denominator of -35/1096 and (-651)/(-80) + 30/225 + -11.
6576
Let n = 447 - 463. Calculate the lowest common multiple of 900/20 - n/2 and 10.
530
Suppose 0 = 855*n - 875*n + 840. What is the least common multiple of n and 1218?
1218
Let a = -134 - -154. What is the common denominator of (-2 + 41/a)*252/468 and -19/25?
1300
Suppose -86254 = -64*t + 51666. Let b = t - 2115. Suppose -2*g - 2 = 2*v - 12, 4*v = 4*g - 60. What is the lowest common multiple of b and g?
40
Let l be (-1480)/(-56) - (-3 - 120/(-35)). What is the common denominator of -85/72 and (-2)/l*1*79/(-474)?
936
Find the common denominator of 145/432 and 1/(-20)*(-43 - -1)*(-184)/3456.
4320
Suppose -429 = 6*i - 249. Find the common denominator of 4 + 205/(-50) - 38/i and -10/21.
42
Let p be (1/(-2))/((-9)/(-198)). Let h(v) = 3*v**2 + 33*v + 8. What is the least common multiple of 9 and h(p)?
72
Suppose 38*x = 35*x + 408. Suppose -6*b + x = -74. Calculate the least common multiple of 1 and b.
35
Let p(h) = 2*h**2 + 10. Let k be p(5). Suppose 3*o + k = 6*o. Find the common denominator of o/(-132)*13 - -3 and 25/33.
33
Calculate the common denominator of (2800/12348*7)/((-6)/(-7)) and 59/261.
783
Calculate the common denominator of -44/3 and 1/(-3)*4495/(-4185).
81
Let o(q) = -10*q**3 - 2*q**2 + 2*q - 1. Let k be o(1). Let p = -5 - k. Calculate the lowest common multiple of p and (-394)/1773 + 83*3/27.
18
