5*c = -5*a + 3158. What is the least common multiple of a and 45?
630
Suppose -4*i = 2*j + 13606, -j + 0*i - i - 6803 = 0. Let w = 8277965 + -124271578/15. Let g = j - w. What is the common denominator of 101/6 and g?
30
Suppose 5814 - 1940 = 5*a + 2*b, 2*a - 3*b = 1561. Let r(l) = l**2 + 12*l + 1. What is the smallest common multiple of a and r(-13)?
5432
Let o(w) = -w**3 + 6*w**2 - 5*w - 4. Let v = 502 - 478. Suppose -4*r = 4*u - v, -2*u - 11 + 19 = 4*r. Calculate the lowest common multiple of o(4) and u.
8
Let g = 27/3059 + 201339/5261480. What is the common denominator of 103/172 and g?
1720
Let w = 337 + -289. Suppose 10 = -2*b + z, -b = b + z + 14. Let i = b - -18. What is the smallest common multiple of w and i?
48
Suppose 7*l = -6 + 27. Suppose 28 = 2*x - 2*a, x = l*a + 10 + 8. What is the least common multiple of x and 24?
24
Let h be (-8)/40*-985*4/62. Let o = h - 8709/434. Calculate the common denominator of -33/214 and o.
1498
Let d be 2/(-4) - (-175)/10. Let c = -15 + d. Suppose -5*g + 4*i = -12, -2 = 5*i - 6*i. What is the lowest common multiple of g and c?
4
Let z = 3067 - 2689. What is the least common multiple of z and 182?
4914
Let n(s) = -s**3 + 2*s**2 - 1. Let p be n(-1). Suppose 0 = 3*k - 4*z - 142, p*k - z - 46 = k. What is the lowest common multiple of 102 and k?
714
Let t = 360 - 1097/3. Let l = -1022 - -3100/3. Find the common denominator of t and l.
3
What is the common denominator of -16/675 and 10 - ((-3291)/116)/((-855)/304)?
19575
Let z be (2940/(-55))/(0 + 4/10). Let y = -1815417/13585 - z. Let v = 97529/14820 + y. Find the common denominator of -11/9 and v.
36
Let t(i) = -4*i + 214. Suppose -2*f - f = 2*q - 482, 0 = f + q - 161. Calculate the lowest common multiple of f and t(52).
480
Let d = 56647/8 - 7090. Let r = -5860 - -134758/23. Let c = r - 577/46. Calculate the common denominator of c and d.
8
Find the common denominator of -99/248 and (1626/(-405) - -4)/((-336)/(-3535)).
20088
Let k = 56805/332 + -55047753/8300. Let n = -6459 - k. What is the common denominator of n and 57/35?
175
Let s be 3825/(-30)*(-8)/6. Find the common denominator of 778/(-90) - 0 - (-34)/s and -69/88.
792
Suppose 2*h + 2*w + 0*w = 174, -75 = -h - 5*w. Suppose 2*v - h = 7*v. Calculate the lowest common multiple of 24 and (v/10)/(((-6)/(-10))/(-3)).
72
Suppose 3*w = -2*r - 168 + 205, 5*r + 2 = 3*w. Let i = -46 - -26. Let o = 41 + i. What is the smallest common multiple of w and o?
63
Let k = -4718 - -18929/4. Calculate the common denominator of k and (-635)/(-48)*(-10)/25.
24
Suppose 4*q = -65*q + 2059 + 2495. What is the least common multiple of 10/(((-518)/24)/(-7) - 3) and q?
1320
Let t = -1272 - -1278. Calculate the smallest common multiple of t and 284.
852
Let y(q) = -q**3 - 5*q**2 + 7. Let o be y(-4). Let p be (3/2 + -1)*-4. What is the common denominator of 93/28 and p*((-2)/o - (-700)/(-288))?
84
Let h = -4402 + 7323. What is the least common multiple of 92 and h?
11684
Let q(s) = -s**3 - 11*s**2 + 3*s - 5. Let r be q(-10). Let k = 139 + r. What is the smallest common multiple of k and 286?
572
Suppose -676 = -27*r - 2944. Let z(b) = 80*b**2 + 2*b - 1. Let j be z(1). Calculate the common denominator of 1*(-30)/j*r/10 and -54/5.
45
Find the common denominator of (-182)/(-104)*((-2010)/(-245) + -8) and -31/426.
2982
Let f(h) = h**2 - 212*h - 2423. What is the lowest common multiple of 6360 and f(-11)?
6360
Let d = 8650/11 + -276107/352. Let r = -1/751 - 56321/3004. What is the common denominator of r and d?
32
Let t(g) = 51*g**2 + 591*g - 498. Let z(n) = -5*n**2 - 59*n + 50. Let k(a) = 2*t(a) + 21*z(a). Calculate the smallest common multiple of 81 and k(-19).
162
Let r be (-45)/9*783/(-9). What is the common denominator of -119/50 and (((-17)/r)/((-10)/(-30)))/1?
1450
Suppose -48*q = -11*q - 740. Let b = 1 - -3. Suppose -2*a + v = -b*v - 25, 12 = a - 2*v. What is the smallest common multiple of q and a?
20
What is the common denominator of -107/315 and (7176/(-1638))/(12/14)*(-5)/(-45)?
2835
Let j(o) = o**3 + 17*o**2 + 35*o + 152. What is the least common multiple of 16 and j(-14)?
2000
What is the common denominator of (973/(-980) - -1)*928/88 and -77/4?
1540
Suppose 4*a - 6 = -4*g + 14, -4*a + 52 = -4*g. Let r = 1083 - 1435. Calculate the common denominator of -65/2 and 248/r + a/(-12).
22
Let a be 343/(-28) + (-4)/(-16). Find the common denominator of -113/10 and (4/a + -9)*(-18)/7.
10
Let s = 5369 - 4727. What is the lowest common multiple of 18 and s?
1926
Suppose -42*p + 1396 = 220. Calculate the smallest common multiple of (-3*(-2)/(-6))/((-2)/p) and 70.
70
Suppose 0*q - 3*m = -5*q - 109, 4*m - 32 = q. Let y = 87 - 33. Calculate the least common multiple of y and (25/q)/(5/(-40)).
270
Let k(z) = 677*z - 657. Calculate the least common multiple of 418 and k(1).
4180
Let t be 287/140*5 + 5/(-4). Suppose -152 = t*k - 13*k. Suppose 0 = -3*y - 3 + 21. What is the smallest common multiple of y and k?
114
Let g = 94250893/420 + -224407. Find the common denominator of g and 73/1080.
7560
Find the common denominator of 3/5 + (-81)/70 and (-243)/18*23/((-828)/(-30)).
140
Let z be (13513674/72)/19 - (1 + -5). Let y = z - 9876. Find the common denominator of 139/54 and y.
108
Let y = -84703/330 + 3859/15. Let z be (1 - 6) + (-1 - 1). Find the common denominator of (3 - 2) + z/(-18) and y.
198
Let b = -134 + 132. Calculate the least common multiple of b*771/(-14) - (-2)/(-14) and 100.
1100
Let g = -7/429 - -2473/2574. Find the common denominator of 4/14 + 178/140 and g.
630
Let g = 10 - -4. Let a(c) = -c**3 + 30*c**2 + 16*c - 35. Let m be a(31). What is the smallest common multiple of ((-54)/(-10))/(-10*15/m) and g?
126
Let d(k) = k**3 + 8*k**2 + 12*k + 4. Let u = 121 + -67. Suppose -u = 4*c + 5*c. What is the smallest common multiple of d(c) and 46?
92
Let c(h) = 25*h**2 - 199*h + 795. What is the lowest common multiple of 21 and c(4)?
399
Let j be (-12)/5*(280/(-6))/14. Suppose -213 = -j*n + 67. What is the lowest common multiple of 35 and n?
35
Let l(r) = 2*r**3 - 10*r**2 - 7*r + 18. Let s be l(6). What is the common denominator of -4 + 238/s - 4 and -131/72?
72
Find the common denominator of (4 + 555/(-132))*96/(-64) and 39/32.
352
Let p = 7357 - 7137. What is the smallest common multiple of 1980 and p?
1980
What is the lowest common multiple of (-495)/(-22)*(-1 - 862/(-6)) and 2140?
6420
Let a = -58/97 - -22594/41031. Calculate the common denominator of -11/8 and a.
3384
Calculate the common denominator of -79/6 and 6 + (-19)/59736*18991.
3144
Let k = 885 + -682. What is the least common multiple of k and 232?
1624
Let r(z) be the first derivative of -z**3/3 - 19*z**2/2 - 20*z + 5. Suppose -7*l = -114 + 2. What is the lowest common multiple of l and r(-17)?
112
Suppose -56*l = -360*l + 37614 + 60882. Calculate the least common multiple of 90 and l.
1620
Let q(w) = w**2 + 11*w - 138. Find the common denominator of -67/3718 and q(9).
3718
Let i(g) = -g**2 - 16*g + 68. Calculate the smallest common multiple of i(-14) and 36.
288
Let x be (-1349)/(-449) + -2 + 10 + -11. Let r be (-51)/(-136) + 130178/(-7184). Let a = r - x. Find the common denominator of -73/40 and a.
40
Let j = -9850 + 98581/10. Suppose -2*s + 4*m = 660, -3*m = -42*s + 45*s + 945. Find the common denominator of -6 + (-1676)/s + (-2)/(-4) and j.
80
Let s(j) = -j**3 + j**2 - j - 4. Suppose -k - 9 = k - 3*n, 0 = 2*k + 3*n - 9. Let a be s(k). What is the common denominator of (2 - -31)*(58/15 + a) and -27/8?
40
Let q = -318 + 539. Let w = -209 + q. Calculate the smallest common multiple of 10 and w.
60
Calculate the smallest common multiple of 808 and ((-4)/5*-202)/((-168)/(-840)).
808
What is the lowest common multiple of 44 and 116/(-2668) - (-41494)/46?
1804
Let d = -64 - -55. Let w(p) = -p**2 - 12*p - 19. Let s be w(d). Suppose s*m = 21 + 3. What is the least common multiple of m and 39?
39
Let u(d) = -116*d + 56 - 108 + 52. Let q be u(-11). Let p = q - 5161/4. What is the common denominator of -8/11 and p?
44
Suppose 0 = -4*h + k + 63, h + 592 = -4*k + 612. Calculate the smallest common multiple of h and 332.
1328
Suppose 25*a + 100 = -100. What is the common denominator of a/(24480/(-11886)) + (-4)/34 and -71/42?
210
Let r = -1580 - -42641/27. Let d = r + 