*w - 2*u, 0 = 5*w + 2*u - 333. What is the least common multiple of w and 46?
138
Suppose -6*h = 8*h - 5*h. Suppose h = 3*f + k - 7, -3*f + 1 = -2*f + k. Calculate the lowest common multiple of f and 6.
6
Suppose -4*s - 1 = y, -2*s + 53 = 4*y - 5*s. Let m(i) = -i**3 + 12*i**2 - 5*i - 12. What is the least common multiple of 6 and m(y)?
54
Calculate the common denominator of -139/888 and (27/4)/((-23)/(-6) + -2).
9768
Calculate the smallest common multiple of 35 and (-14)/(-35) - 51737/(-95).
3815
Suppose -6*k + 1828 - 343 = 21*k. What is the smallest common multiple of k and 440?
440
Let z be (-6)/(-4)*(-26600)/(-84). Suppose 2*t + 414 = 2*f, -3*f + t + 140 = -z. Calculate the smallest common multiple of f and 28.
1428
Let a = -733/8 + 18489/200. What is the common denominator of a and 25?
50
Suppose -2*w = -22*w + 1400. What is the least common multiple of -3*12/9 + 25 and w?
210
Let n(x) = -15*x**2 + 817*x + 38. Calculate the smallest common multiple of 8 and n(54).
416
Find the common denominator of -48/35 and (-1362)/(-1100) + 24/(-18).
11550
Let z = 8906 + -89141/10. Suppose 2*s - 417 = 539. What is the common denominator of s/(-48) - (-10)/(-15) and z?
40
Suppose 23 = -6*l + 95. Suppose 0 = 6*y - 0*y - l. Suppose -12 = -5*o + 2*f + 38, -2*o - y*f = -6. Calculate the smallest common multiple of 12 and o.
24
Let r(f) = -38*f + 1037. Calculate the least common multiple of 77 and r(-16).
18095
Let k(d) = -d**3 + 16*d**2 - 18*d - 5. Let s be k(15). Calculate the common denominator of ((-61)/2)/(s/(-5) - 5) and 108/4*(-1)/7.
70
Find the common denominator of -79/585 and -9*32/4290 + (-4)/(-44).
6435
Let k = 11247897/99195040 - -1/885670. Calculate the common denominator of 43/42 and k.
3360
Let o = 280232 - 280208. Let v(x) = 4*x**2 + 4. Calculate the smallest common multiple of o and v(3).
120
Let r = 13831/8 - 1726. What is the common denominator of (26 - 27) + 0 + 93/450 and r?
600
Suppose -3*i - i + 20 = 4*d, 3*d = -i - 5. Let m = -2314 + 13775/6. Calculate the common denominator of m and 3/4 - i/(-624)*2.
78
Suppose 5376 = a + 3*n, 37*a - 30*a = -3*n + 37776. Calculate the lowest common multiple of 1 and a.
5400
Suppose -6*o + 3*o + 2*d + 196 = 0, 3*o + 4*d = 220. Suppose 72 = 72*l - o*l. Let z = l + -8. Calculate the smallest common multiple of z and 2.
10
Let b = 1523231/63030 - 1/10505. Find the common denominator of 53/2306 and b.
6918
Let z = 44/83 - -3651/1411. Find the common denominator of z and -1/8.
136
Let u(j) = j**2 - 10*j + 17. Let s be u(8). Let x be 601/5 - 4/(20/s). Suppose -w - x = -6*w. Calculate the lowest common multiple of 33 and w.
264
Let w(k) = 78*k**2 + 29*k + 215. What is the lowest common multiple of w(-5) and 2?
2020
What is the common denominator of (75/9)/(25536/(-378)) and 69/112?
4256
Let u(m) = -8*m**3 - 13*m**2 + 4*m + 1. Let n be u(-9). Let i be 4 - (n/(-192) - (-1)/3). Let r = i + -389/8. Calculate the common denominator of 33/16 and r.
16
Calculate the common denominator of -63/2 and (-36)/1888*(-18 + 7).
472
Let b be ((-56)/14 - -5)*(256 + 1). Let j = -251 + b. Calculate the least common multiple of 11 and j.
66
Let b be 12*-7*(-4)/28. Suppose 840*r = 842*r - b. What is the smallest common multiple of r and 249?
498
Find the common denominator of (1/7)/(3/12 - (-78)/(-5)) and -131/1842.
12894
Let t(b) = -b**3 + 10*b**2 + 14*b - 19. Let z(r) = r**3 - 12*r**2 + 2*r - 13. Let h be z(12). Calculate the least common multiple of t(h) and 590.
4130
Let q = -681 + 520. Find the common denominator of (849/q - 0) + (10 - 5) and 31/4.
644
Let j = -24 - -96. Calculate the least common multiple of 496 and j.
4464
Let k = -227 - -97. Let d be k/(-15)*(-4476)/8. Let b = 48549/10 + d. Find the common denominator of b and -77/8.
40
Let x be -3 - (2 + 546/(-135)). Let l = x + 2051/90. What is the common denominator of (62/(-372))/((-21)/(-749)) and l?
18
Suppose -490 = m - 4*s, -5*m - 4*s - 1848 = 722. Let i = -433 - m. What is the lowest common multiple of i and 56?
616
Let c = 8 + 6. Let j be (630/50 + -9)/((-6)/20). Let m = c - j. What is the smallest common multiple of m and 10?
130
Calculate the common denominator of 12/(-18)*72 + 36/6 and -1/1103.
1103
Let m = 30908 - 27413. Calculate the smallest common multiple of m and 233.
3495
Let c = 145 + -140. What is the common denominator of 119/18 and (9/135*-291)/(12/c)?
36
Let o be -2 + 2 + 2 - 1. Let g be -7 + 8 + (o - 2). Suppose g = -2*d + 22. What is the smallest common multiple of d and 10?
110
Calculate the common denominator of (-17004)/(-2600)*(-5)/48 and 103/240.
480
Let a(s) = -5*s**2 + 4*s**2 + s + 6*s**2. Let y(p) = -481*p - 7197. Calculate the smallest common multiple of a(1) and y(-15).
18
Let w be 1 + 2/((-36)/21 + 2). Suppose w*j - 2485 = -27*j. Calculate the lowest common multiple of j and 5.
355
Let p(z) be the first derivative of -z**3/3 + 16*z**2 - 187*z - 101. Let f = 15 + -7. What is the least common multiple of p(9) and f?
40
Suppose 4*l - 1532 = 5*t + 409, 5*l = 2*t + 2422. Calculate the smallest common multiple of l and 308.
3388
Calculate the common denominator of (88/55000)/(8/(-1340)) and 123/110.
2750
Suppose 23*l = 27*l - 1996. Let o = 509 - l. What is the least common multiple of 7 and o?
70
Let h = 125949591/20 + -6295781. Let j = 233 + -1931. Let i = j + h. What is the common denominator of -67/22 and i?
220
Suppose 0 = -24*x + 78999 - 77151. What is the least common multiple of 224 and x?
2464
Let x(w) = 2*w**2 + 2*w - 9. Let d be x(6). Let o = -3303/4 - -831. What is the common denominator of 18/(-55) - (-45)/d and o?
44
Let j = 27257743/35943960 + -2/299533. Let d = -295195/604828 + -2/64803. What is the common denominator of j and d?
840
Let k be -2 + (1/(-1))/((-14)/182). Suppose -153 = -6*r - k*r. What is the lowest common multiple of 30 and r?
90
Suppose g + 0*l + 2*l + 96 = 0, 3*g = -l - 288. Let a be 120/24 + (-2 - (-1 - 0)). What is the smallest common multiple of 46 and ((-40)/3)/a*g/80?
92
What is the lowest common multiple of 1996 and -22*132/(-72) + (-1)/3?
19960
Let k = 65 - 55. Let h(a) = -a**3 + 10*a**2 - 3*a + 24. Let s be h(k). Let i(y) = y**3 + 5*y**2 - 8*y - 1. Calculate the smallest common multiple of i(s) and 3.
33
Let k be 10/8 + 3/(-12). Calculate the common denominator of -8 - (6 + 1088/(-84)) and 0 - 213/18*k.
42
Let u = 17/1652 + 48297/82600. Find the common denominator of u and -83/100.
200
Let k(x) = 17*x**3 - 13*x**2 + 29*x + 3. Calculate the lowest common multiple of k(3) and 54.
432
Suppose 3*z + 567 = 3*b, 2*b + 79*z = 76*z + 383. Calculate the lowest common multiple of b and 342.
1710
Let q = 6080 - 48569/8. Find the common denominator of q and (-4)/80*(-1122)/407.
1480
Find the common denominator of -29/2270 and 6/9*(-9)/(-12)*(-78)/(-60).
4540
Let k(t) = -50978987*t**2 + 11*t - 2. Let q be k(6). Let h = q + 21200732527503/11552. Let i = 1/361 + h. What is the common denominator of -93/4 and i?
32
Let z = -91/44 + 152/11. Let s = 1498389/70 + -21405. Calculate the common denominator of s and z.
140
Let p = 296673073/10908 - 108791/4. Let w = p - 23351/13635. Find the common denominator of w and -61/3.
45
Let q(t) = -4*t - 83. Let b be q(-20). Calculate the smallest common multiple of b/((-18)/122) - 1/3 and 12.
60
Let k = 80 - 76. Suppose -4*z = -5*m + 47, 5*m + k*z = 7*z + 44. What is the lowest common multiple of m and 7?
7
Suppose -58*o = -60*o + 604. What is the least common multiple of 54 and o?
8154
Let o = 680844084400200871/2143988 + -1270238610293/4. Let m = o + -2/76571. Find the common denominator of m and -75/4.
308
Let r = -8/85 + 959/255. Calculate the common denominator of r and -21/155.
465
Let j = 68 + 57. Let v = -123 + j. What is the smallest common multiple of v and -1 + (-1 - -1*24)?
22
Let i be (-7)/(-1) - (-4430 - -55). Find the common denominator of 4/14 + 13 + i/(-588) and -68/45.
90
Let d be (-23)/((-46)/12) - 246550. Let q = 55225739/224 + d. Find the common denominator of 63/8 and q.
224
Let y be 4/4 + -2 + 1351. Suppose -y = -5*g - 0*g. Calculate the common denominator of 121/20 and (-3)/(-2) - 1875/g.
180
Suppose -4*w - 21 = -3*k, k - w = 2*w + 12. Suppose 5*q = -k*q + 32. Suppose -c = r + 2*c + 9, -r = q*c + 14. Calculate the lowest common multiple of r and 4.
12