 l be 18 + (-5 - -3) + -4. Suppose -2*p = 3*t - 65, -l*t - 89 = -16*t - 5*p. What is the smallest common multiple of t and q?
231
Let g = 32 + -36. Let r be 4/3*(-6)/g. Suppose 5*z = -r*a + 44, -10*z + 12*z - 3*a - 29 = 0. What is the least common multiple of z and 2?
10
Let a = 138875/8 + -17362. What is the common denominator of 79/2788 and a?
5576
Suppose -3*j - 72 = -2*p, 4*p - 270 + 174 = -2*j. What is the least common multiple of 10842 and p?
97578
Let k = 3/109 + 621/1199. Let w(z) = z**3 + 7*z**2 - z + 21. Let c be w(-8). Calculate the common denominator of -3 + ((-135)/c - 5) and k.
77
Let u = 14640 - 14607. What is the smallest common multiple of 2124 and u?
23364
What is the common denominator of (-9*(-1)/(-54))/(3/60) and -65/699?
699
Suppose 66 = 3*z + 13*v - 11*v, -48 = -3*z + v. What is the lowest common multiple of 396 and z?
396
Suppose -79668 = -4*j - 252. Let u = j - 8738. Let g = 300179/27 - u. Find the common denominator of g and 8/33.
297
Let t(n) = 25*n - 268. Let q = -16 + 17. Suppose -5*i + 4 = -q. What is the lowest common multiple of t(11) and i?
7
Let u(z) be the third derivative of z**6/120 - z**5/60 - z**4/12 - 2*z**3/3 - 13*z**2 + 4*z. Calculate the smallest common multiple of u(3) and 2.
8
Suppose 9 = f - 4*m, 5*f + m = 2*m - 12. Let g(x) = 4*x**2 + 8*x + 3. Calculate the smallest common multiple of -2 + 30 + f + 2 and g(-2).
27
Let q = 9 - 7. Let r be 5/(20/9432) - (16 + -18). Calculate the common denominator of q/(32/5)*r/(-200) and 79/12.
48
Let s = 1316705 + -1011229589/768. Find the common denominator of -49/40 and s.
3840
Let l = -246967/8 - -60393/2. Let o = 674 + l. What is the common denominator of (-249)/72*2/(-1) and o?
24
Suppose -18*q + 413 = -559. Let j = 333 + -318. What is the lowest common multiple of j and q?
270
Let b be 4/14 + 3241372/462. Let t = -7017 + b. Find the common denominator of 496/(-66) - (-34 + 29) and t.
33
Suppose 4*s + 15 = y - 124, 2*y = -5*s - 177. Let t be (-462)/s - (-2)/(-10). Calculate the common denominator of 125/6 and t/60 + (-10)/(-12) + -1.
60
Find the common denominator of 40/(-30) + (-3077)/(-2331) and 45.
2331
Find the common denominator of -61/675 and 3002/3135*4/(-40).
7425
Let j = -5763 - -8379. Calculate the lowest common multiple of 15 and j.
13080
Let n = 79 + -73. Suppose h - n*d = -d - 13307, 66493 = -5*h + 4*d. Let a = h - -319175/24. What is the common denominator of 13/28 and a?
168
Let p = -960 - -964. Suppose p*m - 81 = -5*s + 39, -2*m + 60 = 2*s. What is the smallest common multiple of m and 21?
210
Suppose 0 = 2*c + 2*c + 12. What is the lowest common multiple of c*(-6 - (-3 + 0)) and 5?
45
Let n = 91/803 + -64903/97966. Calculate the common denominator of n and 109/224.
13664
Let r = 179540/57 + -15749/5. Calculate the common denominator of 72/1235 and r.
3705
Find the common denominator of -1 - (-8)/6 - (-1662)/(-5148) and -53/234.
2574
Suppose 122*z + 153 = 123*z - f, 597 = 4*z + f. What is the least common multiple of z and 20?
300
Let n = -9547/5 - -1920. What is the common denominator of ((3 + -1)*5520/28800)/(2/(-16)) and n?
15
Suppose -22*a + 4 = -21*a. Let x be (((-45)/(-6))/5)/((-14)/28). Calculate the common denominator of -19/6 and (166/72 - a/6) + x.
36
Let f = -15/141859 + 3361937/937971708. Find the common denominator of f and -81/812.
46284
Let a be 1 + -4 + (1197155/149645 - 5). Let t = a - -2603867/1316876. Calculate the common denominator of t and 7/4.
44
Let z = -1929775/2005476 + 2/15193. Let k = 3297/15800 + -2/5925. What is the common denominator of k and z?
264
Suppose y + 4*i + 12 = -2, 14 = 5*y - i. Let q(o) = -7*o - 1. Let c be q(y). Let f = -4 - c. What is the lowest common multiple of f and 11?
11
Suppose -1558 = -39*x - 622. Let q = 64 - x. What is the lowest common multiple of q and 48?
240
Let j(w) = -7*w**2 - 2*w + 2. Let r be j(-2). Let a = 29340 - 146713/5. What is the common denominator of a and ((-30)/r)/(2/(-6))?
55
Suppose 0 = -2*y - 5*b + 235, -12*y + 13*y - 2*b = 140. Calculate the smallest common multiple of 702 and y.
3510
Suppose -2*f - 11*f - 13 = 0. What is the common denominator of 143/12 - 0/(f + -6) and 59/20?
60
Find the common denominator of ((-4)/30)/((-20)/(-309)) and (-2639)/1300 + ((-12)/10 - (-77)/35).
100
Let h(l) = -23*l - 2. Let t be h(0). Suppose 0 = -4*q + 12. Find the common denominator of -40/9 and 6/(-24)*((-162)/t)/q.
36
Calculate the common denominator of (-2)/(-9)*(5 - 2023/56) and (27/30)/((-3)/(-15)).
12
Let o = 274 + -836/3. Let d be (-14950)/(-250) - (-1)/5. Find the common denominator of d/(-27)*6/(-10) and o.
3
Suppose 6*s - s = -3*j - 16, -5*j - 20 = 5*s. Let r = j - 3. What is the smallest common multiple of 2 and 1/(14/r - -3)?
10
Let q be (-101)/(-3)*(-2 + -4) + -4. Let h = 246 + q. Calculate the least common multiple of 6 and h.
120
Let w(z) = -z**3 + 16*z**2 + 61*z + 4. Let v(u) = -u**3 + 5*u**2 + 3*u - 7. What is the least common multiple of w(19) and v(5)?
80
Let d = 1778 + -1734. Let g(o) = -4*o + 38. Calculate the least common multiple of d and g(7).
220
Let p = 40/4453 - -3546241/311710. Let h = 4/35 + p. Find the common denominator of h and -2 + 158/20 + (72/(-24) - 4).
10
Let y = -47922077/348 - -137707. What is the common denominator of y and 105/232?
696
Let w(t) = -3*t**3 - t**2 + t + 1. Let z(v) = -8*v**3 + 8*v**2 + 4*v - 41. Let o(a) = -3*w(a) + z(a). What is the least common multiple of o(-8) and 50?
700
Suppose -4*j - 5*x = 0, 4*x - 7 = -4*j - 3. Suppose -4*p + j*n + 234 = 0, -2*p + 2*n = 4 - 120. What is the smallest common multiple of 9 and (48/p)/(6/28)?
36
Let n = 243219 - 194088815/798. Calculate the common denominator of n and 61/5.
3990
Suppose 2*a + n - 4 = -0*n, 0 = -5*n. Let l = 147/10 - 173/15. Calculate the common denominator of l and a/((-28)/(-109)) - 4.
42
Let d(r) be the third derivative of 5*r**4/24 + 14*r**3/3 + 18*r**2. Calculate the least common multiple of 12 and d(13).
372
Suppose -224 = -8*k - 48. Let j(t) = t**2 + 7*t + 4. Let r be j(-6). Let d = 24 + r. Calculate the lowest common multiple of d and k.
22
Let z = -61 - 42. Let j = z - -108. Calculate the smallest common multiple of j and 55.
55
Let p = 715/24 - 7451/264. Let z = -412847/190 + 41298/19. Find the common denominator of p and z.
220
Let k(s) = -32*s**3 + 6*s**2 + 217*s + 866. What is the lowest common multiple of k(-4) and 20?
21420
Let b(s) = -6*s**3 + 10*s**2 + 10*s - 16. Let g be b(8). Calculate the common denominator of g/(-496) - 1*4 and 1/(-3)*(-42)/56.
124
Let s = -275896 + 2722111/10. Let i = s - -3695. Let f = -15857/4 - -142423/36. Find the common denominator of f and i.
90
Suppose 5*m - 720 = -5*n, -3*n + 3 = -2*m - 409. Calculate the common denominator of (-1743)/n*(-1)/(-3) and -121/372.
1860
Suppose 20 = 20*n - 20. What is the least common multiple of 3 + (-6)/(-60)*5*n and 326?
652
Let y = -22/137 - -5481/29866. Let g be -1*54045/(-3924) - 3*1. Let r = y - g. Find the common denominator of r and -51/20.
20
Suppose -16*z + 21*z - 40 = 0. Suppose -5*f + 43 = z. Suppose f*k - 230 = -20. Calculate the least common multiple of 15 and k.
30
Let f be 165/45*(2 - -7). Suppose -5*i + 11 = 2*r - f, -i + 28 = 2*r. Calculate the lowest common multiple of r and 14.
84
Find the common denominator of 44/(-756)*-12 + -2 and -47/7.
63
Let l = 388434/11 + -14321809/462. Let i = l + -4312. Calculate the common denominator of -31/21 and i.
42
Suppose -1 = 2*i - 19. Suppose i*q = 4*q - 55. Let x = q + 21. What is the lowest common multiple of 6 and x?
30
Let x be (-3)/6 - 7/((-56)/500). Suppose 15*p + x = 16*p. Suppose 61*z = p*z - 30. What is the lowest common multiple of z and 18?
90
Let d(m) = -3 + m**3 - 3 + 2 + 13*m**2 - m - 14*m**2. Let x be d(2). What is the smallest common multiple of -3 + 3 + 12 + x and 10?
10
Suppose 51*k - 88 - 218 = 0. Let n = -81 + 179. What is the smallest common multiple of k and n?
294
Let k be ((-144)/5)/(5/(-25)). Let t be (-1 - (-2)/4)/(6/k). Let g(p) = p**2 + 10*p - 21. Calculate the lowest common multiple of 5 and g(t).
15
Suppose -294 = -0*v - 2*v. What is the common denominator of (4/36)/(11/v) and 53/6*(-32)/48?
99
Suppose 82*d = 3*j + 83*d - 22, j - d - 10 = 0. What is the least common multiple of 2452 and j?
4904
Let c = 29254 + 