610
Suppose 5*l + 33550 = -2*d, 9*l = 10*l + 4*d + 6692. Let v = -872549/130 - l. What is the common denominator of v and 55/4?
260
Let x = 425149/20 + -21263. Find the common denominator of -37/264 and x.
1320
Let u = -84539/30 + 14164/5. What is the common denominator of u and (-2)/6 - (-33)/(-576)?
192
Suppose -5*f + 18 = 5*d - 12, d = 5*f - 30. Calculate the least common multiple of f and (-5)/(-15)*3 + 2.
6
Let c be 7*(2954/(-49) + -4). Calculate the common denominator of ((-30)/c)/((-6)/(-425)) and -43/27.
54
Find the common denominator of ((-3)/30 - 6/30)*930/(-24) and 45/596.
1192
Suppose -12*j = -3*h - 23895 - 2649, 0 = -h + 8. Calculate the lowest common multiple of 4920 and j.
44280
Suppose 0 = -20*n - n + 63. Calculate the least common multiple of 9 and n/15 + (-72)/(-40).
18
Let d = -486062/5 + 96890. Let n = -312 - d. Calculate the common denominator of n and 145/24.
120
Let y = 2606910410 - 474461297805/182. Let u = y - -19798. Find the common denominator of u and -115/14.
182
Suppose -3*i - 9 = -2*x, -4*i = -3*x - 6*i + 7. What is the smallest common multiple of 2/(-3)*3*-6 and (-17 - -14)*(-20)/x?
60
Let p = 15/1277 - 126573/12770. What is the common denominator of -67/1326 and p?
6630
Calculate the least common multiple of 325 and ((1 + -1)/3 - 5)/((-44)/2860).
325
Find the common denominator of (4 - (-68)/(-24))*((-182)/2717)/7 and 60/133.
4389
Calculate the smallest common multiple of 6*(-33)/(-18) - (-111 - 16) and 1290.
29670
Suppose -2*w = -3*v, 895*v - 900*v = -5*w + 5. What is the least common multiple of 6585 and w?
6585
Suppose 3*l + 201 = -4*i, 22 + 61 = -2*i - 5*l. What is the common denominator of (-150)/(-176) + i/36 and 1/88?
88
Let t = -4911 + 29531/6. Let j be 4/8 - 82/(-4). Let q = j + -183/10. Calculate the common denominator of q and t.
30
Suppose 3*l = 9, 379 = 5*h - 2*l + 45. Suppose -354 = -8*i + i - 326. Calculate the lowest common multiple of i and h.
68
Let g(a) = -a**2 - 16*a + 42. Let l(u) = 3*u**2. Let q be l(1). Let f(x) = x**3 - 2*x**2 - 2. What is the lowest common multiple of g(-18) and f(q)?
42
Suppose -3*u = 13 - 292. Let n = u + -85. Calculate the smallest common multiple of 21 and -60*(-2)/2*4/n.
210
Suppose -5*g + 85 = 3*z, -7*g - 9 = -8*g + z. Calculate the smallest common multiple of 9388 and g.
65716
What is the common denominator of (1 - 4)/(-84)*(-1 - 141) and 5 + -3 - (-1071)/(-342)?
266
Let w(m) = -m**3 - 15*m - 1 + 2 - 16*m**2 + 0. Let g be w(-15). Calculate the common denominator of -53/33 and -2*g/(-5) - (-20941)/(-1290).
66
Suppose -v + 4*l - 11 + 31 = 0, 4*v = 3*l + 54. Find the common denominator of 25/56 and ((-217)/196 - -1)*664/v.
56
What is the least common multiple of 92 and 8 + 3 + -4 + 33?
920
Let j be (-3*3/6)/((-6)/28). Suppose -4*a + j*a - 60 = 0. What is the least common multiple of a and 35?
140
Calculate the common denominator of (-2219)/(-1764) - -4*6/54 and 163/210.
420
Let t = -239323/4298541 - -2/5801. What is the common denominator of t and -97/78?
1482
Let q(r) = 17*r - 125. Let w(x) = x**2 + 2*x. Let p be w(-5). Let f = -10 + p. What is the lowest common multiple of f and q(12)?
395
Let i = -9143/11220 - 1/561. Find the common denominator of 9492/9504 + (-6)/(-33) and i.
360
What is the common denominator of 89/748 and (135/35 + -4)/(((-6120)/(-2996))/(-9))?
3740
Suppose -f = z - 341, 2*f + 20*z = 21*z + 667. Let l = f - 167. What is the smallest common multiple of l and 1?
169
Let x = -8337 + 83373/10. What is the common denominator of x and 43/759?
7590
Let v = -585245/2678 + 2835/13. Find the common denominator of v and -57/824.
824
Let p(f) = f**2 + 9*f + 19. Let k be p(-6). Let m be 9 - 8 - (k - -2). Find the common denominator of m - (235/180 - 2) and 13/18.
36
Let r(m) = -m**3 + 13*m**2 + 16*m - 28. Let g be r(14). Suppose 3*y + 211 - 271 = g. What is the lowest common multiple of y and 102?
1020
Let k be 12 - 12 - 107/(-8)*-29. Let h = 391 + k. What is the common denominator of h and -137/18?
72
Find the common denominator of (-2)/(-7) + 211/168 and 25/10*6/(-171)*(-2190)/100.
456
Suppose 4*j = -w - 10, 2*w + 0*w - 2*j - 20 = 0. Suppose 210 = w*h - 336. What is the lowest common multiple of 21 and h?
273
Let g be ((-2)/8)/((-4)/(-48)*17/(-51)). Suppose 3*p - 4 = -2*z - 1, -2*p - 3*z = -7. Let a = g + p. What is the lowest common multiple of 12 and a?
24
Suppose 0 = -5*s - 3*c + 14, 2*s + 6 = -s + 3*c. Suppose 0*w + w - 9 = 0. Let o(v) = -v**2 + 10*v - 4. Calculate the smallest common multiple of s and o(w).
5
Let c be ((-5)/15)/(2/(-114)). Let b = c + -3. What is the least common multiple of 32 and b?
32
Let y = 122444 + -6244403/51. Let d = y + -446/357. Find the common denominator of 11/30 and d.
210
Let m = -160 - -187. Suppose -9 = -3*w + m. Suppose 3*b - 21 = -n, -b = -4*n + 1 + 31. Calculate the smallest common multiple of n and w.
36
Suppose -6 - 11 = -5*l + 4*d, -10 = -5*d. What is the common denominator of 107/14 and (l/(-1750))/((-14)/(-35))?
140
Let t be (-6014)/(((-5)/(-7))/(-5)). Let i = -244501903 + 11738112155/48. Let m = t - i. Calculate the common denominator of -34/27 and m.
432
Let h(q) = -q**3 + 4*q**2 - 3*q + 3. Let a be h(3). Find the common denominator of (-537)/738 + (-1)/a and -30 + 5 + 12 + (-574)/(-32).
656
Let m = 2655 - 55736/21. Let r = 29023 + -1625191/56. Find the common denominator of m and r.
168
Suppose -312*r + b = -308*r - 180, -4*b - 60 = -r. What is the smallest common multiple of r and -2*5*-3 + -2?
308
Suppose 10*f - 5 = 485. Calculate the lowest common multiple of 60 and f - (8/(-2) + -2).
660
Suppose -19*r + 74 + 22 = -7*r. Let x = 187 - 131. What is the lowest common multiple of x and r?
56
What is the common denominator of (-15)/(-15)*261/(-12) and 73/244?
244
Let x(i) = -4*i**2 - 3*i + 18. Let w be x(-4). What is the least common multiple of (-10)/(-8)*1*(42 + w) and 35?
70
Suppose -9*x - 30 = -13*x + 2*l, -3*l = -5*x + 40. Calculate the common denominator of -71/33 and x - (5 + -2) - 272/36.
99
Suppose -1085 = 9*i - 3326. Suppose 0 = u + i - 1221. Calculate the common denominator of (-2)/(-5) - u/(-120) and -42/13.
26
Let k = -94 - -114. Suppose -k*a = -5*a - 60. What is the smallest common multiple of 704 and a?
704
Calculate the common denominator of (-202)/(-4444)*1/(11/2) and 16/33.
363
Suppose 17 = 5*j - 2*b - 29, 3*j = -4*b + 12. Suppose 0 = -g + 14 - j. What is the least common multiple of 34/g + (-4)/(-12) + 0 and 9?
18
Let s = -4146 - -165821/40. Find the common denominator of (2 - (-2)/160*124)*2/4 and s.
40
Let c = 10 - 1. Let m(u) = -18 + 7827*u + 10*u**2 - u**3 - 7822*u + 0*u**2. Calculate the smallest common multiple of c and m(10).
288
Suppose -7*u = -2*u + 4*y - 1135, -2*y = -u + 241. What is the least common multiple of u and 132?
924
Calculate the smallest common multiple of 1*7814 - (-621 + 595) and 14.
7840
Suppose 0 = 2*k - 2, 10 = -2*q - q - 2*k. What is the common denominator of (27/q)/(1/(35/21)) and -3 - 4/(48/(-190))?
12
Let n be (2 - 5)*2/3. Let f = -40489 - -161989/4. Find the common denominator of 10/28*13 + n and f.
28
Calculate the lowest common multiple of (-143259)/(-4611) + 4/(-58) and 635.
19685
Suppose -9 + 7 = -z, 0 = y - 3*z + 24. Let n be (0 + (-3)/y*16)*18. What is the common denominator of 4 + 1 + -4 - 314/n and 57/22?
264
Let i be 12/(-16) - (0 + 6/(-8)). Suppose i = 5*l + r - 199, 5*l = 3*r + 11 + 192. What is the smallest common multiple of l and 12?
120
Suppose -16*k + 12*k - 1076 = 0. Let q = k - -270. Calculate the least common multiple of 33 and q.
33
Find the common denominator of -119/10 and 132/2083*(-1419)/(-3784).
20830
Find the common denominator of -43/30 and (-245)/(-660) + 126/(-24) + 5.
330
Let p be -87*((-16)/6 + 2). Let x = -630537/10 - -63000. Let v = p + x. Calculate the common denominator of v and -35/22.
110
Suppose -8*t = -1 + 89. Let b(a) = -a**3 - 12*a**2 - 3*a + 110. What is the smallest common multiple of 1 and b(t)?
22
Let a(k) = k**3 - 11*k**2 + 11*k + 10. Let y(h) = 2*h - 8. Let q be y(7). Suppose q = 3*v - 0*v. Calculate the least common multiple of a(10) and v.
20
Let p(i) = -9*i**3 - i**2 - i - 1. Let o(l) = 5*l**3 + 3*l**2 - 5*l - 8. Let h be o(-3). Let y = -81 - h. Calculate the least common multiple of y and p(-1).
40
Let