 Suppose -3*y + 5*x - 41 = -s*y, 38 = 3*y + 2*x. Suppose 0 = y*i - 7*i - 100. What is the lowest common multiple of 22 and i?
220
Let c = 70 + -66. Calculate the common denominator of 62/63 - (50/(-14) + c) and 74/3.
9
Let v = -15043/30 + 2538/5. Calculate the common denominator of (-1)/(-44)*-3*2 and v.
66
Calculate the smallest common multiple of 183/((-111)/12 - -10) and 48.
2928
Let k be 21/(-28) - (0 - -711). Let g = k - -706. Calculate the common denominator of g and 89/6.
12
Let u(f) = -15*f - 15. Let d be u(5). Calculate the common denominator of (-691)/d - 6/15 and -73/3.
18
Let c(u) = -u**2 + 11*u - 12. Let y(l) = 23*l**2 - 1. What is the lowest common multiple of y(-1) and c(6)?
198
Let t(q) = -12*q - 151. Calculate the smallest common multiple of 65 and t(-13).
65
Let u(j) = j**2 + 8*j + 11. Let l = -44 + 36. What is the lowest common multiple of 31 and u(l)?
341
Suppose -33 = -2*o - 3*y, -82*o + 4*y = -78*o - 76. Suppose -4*x - 5*m + 21 + 13 = 0, -3*x + m = -16. Calculate the lowest common multiple of o and x.
18
Suppose 5*p - 15 - 70 = 0. Suppose p = 4*l + 13. Calculate the smallest common multiple of l and 8.
8
Suppose 23*c - 33*c + 1140 = 0. Calculate the smallest common multiple of 6 and c.
114
Let o(q) = 3*q**3 - q. Let w be o(-1). Calculate the common denominator of -36 and -6*w*52/132.
11
Find the common denominator of 111/260 and 9 - 2972/1040 - 3*2.
260
Suppose -3*z = k - 15, 0 = 2*z - k - 2*k - 21. Let q(m) = -m**2 + 2*m + 4. Let b be q(3). What is the least common multiple of z and (-5 - -2)*-2*b?
6
Let y be (-21)/6*24/(-14). Let m = y - 7. Let p = 9 - m. What is the least common multiple of p and 2?
10
Let c(b) = -5*b**3 - b**2 - 2*b - 1. Let n be c(-1). Suppose 0 = 5*a + 2*u - n*u - 1, 0 = a - 4*u + 10. What is the least common multiple of 14 and a?
14
Let j = -9 - -16. What is the smallest common multiple of 9 and ((-44)/(-6))/(8*j/252)?
99
Let f = -430491877/6875 - -62617. Let b = f - -625641/55000. Find the common denominator of 45/8 and b.
8
Let y(c) = -c**3 + c**2 + 5*c + 1. Let m be y(3). Let r be m/(3*8/(-132)). Suppose 9*q = r*q - 10. What is the least common multiple of 2 and q?
10
Find the common denominator of -103/336 and 1615/(-2640) + -2*21/(-56).
3696
Let m = -32813/8334 + -10/1389. Suppose 4*x + 2*p = -86 + 24, -60 = 4*x + 4*p. Calculate the common denominator of m and (-249)/x*(-24)/(-90).
180
Suppose 5*m - 2*x = -7*x + 95, 5*x = -m + 7. What is the lowest common multiple of 34 and m?
374
Let x = -4807 + 57829/12. Calculate the common denominator of x and -3/16.
48
Let g be 33042/(-4) + 2/(-4). Let z = g - -82703/10. Find the common denominator of z and (-24)/18*70*2/(-16).
30
Let n be (2 + -14)*(-59)/4. Suppose l - n = -2*l. Let x = l - 451/8. Find the common denominator of x and -6/7.
56
Let y(k) = -124*k + 2. Calculate the least common multiple of y(-1) and 72.
504
Let g = -82/259 - -14649/27454. Let w = -3247/424 - g. Find the common denominator of 1148/(-40)*(-6)/(-14) and w.
40
Let c(u) = 10*u + 9. Let v be c(-3). Let j = -19 - v. Find the common denominator of ((-70)/(-80))/(j/14) and -33.
8
Let w = -1949/3 - -97621/150. Let y = 13341 - 200194/15. Find the common denominator of y and w.
150
Let c(o) = -o**3 - 4*o**2 + 13*o + 8. Let y be c(-6). Calculate the smallest common multiple of 27 and y/3*(-1215)/(-30).
27
Suppose -t = 4*a - 29, -131*t + 129*t + 40 = 5*a. Calculate the smallest common multiple of 138 and a.
138
Let d be (29958/12 + 1 + -1)*-2. Let c = 20071/4 + d. Find the common denominator of c and -53/3.
12
Let f be (-4)/(-26)*4/(-1016). Let t = 34681/16510 + f. What is the common denominator of t and -25/18?
90
Suppose 14 = i + 10. What is the common denominator of (-48)/(-2 - (i - -1)) and 61/10?
70
Let w be (-328)/(-18) - (-26)/(-117). Let r = w - 9. Suppose 14*h = r*h + 30. Calculate the lowest common multiple of h and 7.
42
Suppose 11*b - 5*b = 60. Let h = b - 6. Suppose 4*d = -w - w + 26, h*d = 4*w + 8. What is the least common multiple of 6 and d?
30
Suppose 9*p - 13*p = 144. Let h = p - -50. Calculate the smallest common multiple of h and 4.
28
Suppose 0 = -2*i + 11*i - 9. What is the smallest common multiple of i and 9?
9
Suppose -22*k + 4*k = 2*k - 40. Suppose -4*a + 88 = -a + 2*r, 52 = 2*a + 3*r. What is the smallest common multiple of a and k?
32
Suppose -5*n + 6*k = 3*k - 659, -n - 4*k = -141. Let w = n - 52. Calculate the least common multiple of (-52)/(-9) - (-18)/w and 20.
60
Calculate the common denominator of 68/123 and 207/(-345) + 1262/(-180).
738
Suppose 3*v = 5*v. Suppose 3*d + v*d = 5*b - 65, -30 = -b + 4*d. Calculate the least common multiple of b and 11.
110
Let d(u) = 32*u - 130. Calculate the lowest common multiple of 12 and d(5).
60
Suppose 4*d + 11 - 67 = -4*p, 2*p - 46 = -4*d. Let j = -14 + 23. Let i = -8 + j. What is the smallest common multiple of d and i?
9
Let d be 13/(-26)*20/(-2). Suppose -d*r = 4*q - 65, 4*r - 3 = -q + 5. What is the least common multiple of q and 16?
80
Let i be -4 - 4/(-2)*3. What is the lowest common multiple of (0 - i)*75/(-10) and 6?
30
Suppose 2*k - 2 = 6. What is the lowest common multiple of (-1)/((-6)/k)*3 and 13 - (5 - -2 - 5)?
22
Let d be (1 - 3/6)*4. Suppose 3*a = d*a + 4. Calculate the lowest common multiple of 6*-1*4/6*-2 and a.
8
Suppose -29*o = -5*o - 1920. Calculate the smallest common multiple of 180 and o.
720
Let u = -15 + -3. Let b = 38 + u. Calculate the lowest common multiple of b and 14.
140
Let v(i) = -9*i - 87. Calculate the smallest common multiple of (1/3)/(2/36) and v(-10).
6
Suppose 0*h = -2*h + 60. What is the common denominator of (206/20 - -3) + -4 and (-20)/h*(-282)/40?
10
Let b = -913437/7150 + 3192/25. Let m = -6119/5434 - b. Let s = -7/47 + 406/517. Find the common denominator of s and m.
209
Calculate the common denominator of (-17)/9*((-200)/(-70))/5 and -26/9.
63
Suppose 5*u - 54 - 1 = 0. Suppose 4*f - 36 = -3*l - u, -3*l + f + 20 = 0. What is the least common multiple of (-5)/((-5)/12) - 2 and l?
70
Let g(k) = 5*k**3 - 2*k**2 - 2*k - 1. Let m be g(-1). What is the common denominator of (0/(-4))/2 + 5/(-4) and m/20*178/12?
20
Let z = 78 + -57. Let u be (4/(-3))/(4/(-6)). Suppose -u*p + z = -3. Calculate the smallest common multiple of 8 and p.
24
Calculate the common denominator of -91/12 and -11 - (-50)/(-240)*-10.
12
Calculate the common denominator of (2/14)/(2/(-114)) and 10*(2172/(-420) + 5/1).
7
Calculate the smallest common multiple of 2 + -12 - -17 - (-1 - 40) and 80.
240
Let i(q) = -q**3 + 11*q**2 - 20*q - 12. What is the smallest common multiple of 6 and i(6)?
48
Suppose 2*p + 1 = -1. Calculate the lowest common multiple of 4*(-1 - -2) - 0 and -14*p/2 - 4.
12
Find the common denominator of (1 - -2) + (-83)/20 and 119/50.
100
Let c = -4556 + 109435/24. Let y = 368/19 - 3989/152. Find the common denominator of y and c.
24
Let g be (-21)/((-504)/(-16)) - 8/(-2). Let x be (6/(-5))/(18/56). Let z = x + g. What is the common denominator of -23/11 and z?
55
Suppose w + 8 = 13, 0 = -3*i + 3*w + 39. What is the least common multiple of i and 412?
3708
Let f = -20 + 17. What is the common denominator of -32/3 and f/((-63)/(-6))*31/(-12)?
42
Calculate the common denominator of 836/(-96) + (-7)/(7/(-3)) and 31/12.
24
Let f(d) = d**2 - 2*d + 1. Let u be f(3). Suppose -79 = -u*z - 15. What is the least common multiple of z and 10?
80
Calculate the least common multiple of 12 and (-135)/(-4) - (-12)/48.
204
Let d = -1711/3 - -10297/18. What is the common denominator of d and ((-913)/176)/(5*1)?
720
Let z = 126/79 - 5793/1106. Calculate the common denominator of -51/1658 and z.
11606
Let w = -1151/5 + 224. What is the common denominator of w and (100/(-174))/(2/(-3))?
145
Let q be (10/250)/(2/(-72535)). Let g = q + 1446. What is the common denominator of g and 77/10?
10
Let r(u) = 3*u - 3. Let q be r(4). Let x = 6 - 2. Suppose q*v = x*v + 15. What is the least common multiple of v and 8?
24
Suppose -77 = -6*z + 373. Calculate the least common multiple of 150 and z.
150
Let q be 2 + -58*(-1)/(-2). Let m = -9 - q. Calculate the lowest common multiple of m and 33.
198
Let v = -17839/6 + 2989. Calculate the common denominator of (39/(-7))/((-80)/(-70)) and v.
24
Let a be -12*((-2)/6 + (-42)/(-18))