y - 4*x + 32, 4*y = -x + 19. Calculate the lowest common multiple of y and 70/(-15)*((-40)/7 + 4).
8
Calculate the common denominator of ((-6)/700)/(120/8300) and 145/84.
420
Calculate the common denominator of -101/6 and 83/(-8)*200/(-300).
12
Let w(q) = -4065*q - 4. Let u(m) = -2033*m - 2. Let n(r) = -7*u(r) + 3*w(r). Let o be n(-1). Calculate the common denominator of (o/96)/((-18)/8) and -39/14.
84
Let p(z) = 2*z - 12. Let y be p(6). Let f = 16 - 12. Suppose -f*u + 24 = -2*b, 2*b = -4*u - y*b + 24. Calculate the lowest common multiple of u and 4.
12
Suppose u + 3*u - 12 = -4*m, 0 = -3*m - 5*u + 7. Suppose -3*h = 3*c - 21, m*h - 4*c + 17 = 53. Calculate the least common multiple of h and ((-15)/(-6) - 3)*-4.
8
Let n = -4 + 4. Calculate the smallest common multiple of (8 + -8 - 6)*-1 and (n - (1 + -1)) + 6.
6
Let o(r) = r**2 - 6*r - 13. Calculate the least common multiple of 9 and o(8).
9
Let t = -12173/5 - -2454. Let d = -481/40 + t. Let h = 16055/4202 + -1/382. Calculate the common denominator of d and h.
88
Suppose 4*k = 2*a + k - 22, -4*k - 16 = 0. Suppose 0*f - 41 = -2*f + o, -2*o = a*f - 80. What is the lowest common multiple of f and 22?
198
Let m = -2621/70 + 197/7. Let x = 17807 - 4946. Let n = x + -154421/12. Find the common denominator of m and n.
60
Let t be ((-2)/(-3))/((-8)/(-60)). Let m be t/(-11)*(-584)/(-10). Let g = m + 2875/88. What is the common denominator of 139/6 and g?
24
Suppose 0 = -2*g - 4*c - 4, 4*g - 8*g + 5*c = -57. Suppose -4*z + g = 5*s, 3*z + 4 = -4*s + 11. Calculate the least common multiple of 11 and s.
44
What is the common denominator of (-2 - -1) + 63/40 and 113/28?
280
Let f be (-2)/11 + 302001249/6050. Let l = -49915 + f. What is the common denominator of l and -3/14?
350
Let y be 8/2 - 5278/5. Let s = y - -167771/160. Calculate the common denominator of 1/18 and s.
288
Find the common denominator of 23/150 and 403/(-117) + ((-32)/18 - -2).
450
Suppose -3*r = -5*r + 66. Let q(x) = 2*x**3 - 8*x**2 - 6*x + 10. Calculate the lowest common multiple of q(5) and r.
330
Let q(x) = 13*x - 48. Let s be q(8). Suppose -7*u + s = 35. Suppose 5*y + 15 = 55. Calculate the smallest common multiple of u and y.
24
Let z = 1/756 - -4199/756. Suppose 260 = -4*j - 524. Let v = j + 580/3. Find the common denominator of v and z.
9
Let y = 2919 + -166376/57. What is the common denominator of 40/27 and y?
513
What is the common denominator of -1/210 and 4 - (-12867)/(-2565) - (-16)/152?
630
Calculate the common denominator of 49/2 and (((-85)/24)/(-5))/(35/(-490)).
12
Suppose -5*j - 39 = -3*v + 54, -j = -3*v + 9. What is the lowest common multiple of j - -22 - 7*-1 and 2?
8
Let k(d) = 10*d + 25. Calculate the lowest common multiple of k(-2) and 60.
60
Let q = 206/1101 - -59957/226806. Find the common denominator of 17/10 and q.
1030
Let r = 1221/34 + -126/17. Calculate the common denominator of r and -19/40.
40
Let o = 28 - 12. Suppose a = -a + o. Calculate the lowest common multiple of a and 9.
72
Suppose 5*o - 4*o = -14. What is the common denominator of -31/18 and 50/12 + o/(-112)?
72
Suppose -4*r - 30 = -r. Find the common denominator of (-5)/r + (1 - -15) and (-13)/(-6) + (-2)/(-6).
2
Let l(o) = -27 - 18 - 4*o - 5*o - 25 + 72. Let y = -8 - -6. What is the lowest common multiple of l(y) and 10?
20
Let u be ((-36)/27)/((-1)/(-30)). Let b = u + 42. Calculate the smallest common multiple of b and 1.
2
Let d be (2/36)/((-8)/210). Let y be ((-4)/7 - (-150)/(-252)) + 2. Let h = d + y. What is the common denominator of h and 97/4?
8
Find the common denominator of -26/27 and (-524 - -529) + -1*1126/276.
1242
Let o be (226/(-3))/(7*(-1)/(-126)). What is the common denominator of 44/3 and ((-4)/36)/(32/o)?
24
Let g = -915 + 951. What is the smallest common multiple of 456 and g?
1368
Let l(k) = -12*k + 3. Let d be l(3). Let o = d - -57. What is the least common multiple of 18 and o?
72
Let y = -31975009/10 + 3200991. Let j(i) = 10*i**2 + 15*i - 15. Let h be j(18). Let g = h - y. Find the common denominator of -31 and g.
10
Let u = -960/13 - -14181/182. Calculate the common denominator of 17/3578 and u.
25046
Suppose 0*k = 3*k + 30. Let r = 7 + k. Find the common denominator of -59/10 and (420/18)/(2*r).
90
Let h be (-221994)/(-48240) + ((-2)/6)/1. Let f = -1/536 + h. Find the common denominator of f and -113/6.
30
Suppose -19 = -2*o + 21. Suppose -17 = -5*f - 2. Suppose -2*u - f*u = -110. Calculate the lowest common multiple of o and u.
220
Let m = 926 + -924. What is the least common multiple of -3*(-2 + (-4)/(-3)) and m?
2
Let o(q) = -102*q**2 - 3*q - 3. Let a be o(-2). What is the common denominator of a/70 - (-2)/(-4) and 57/(-18)*3/4?
56
Calculate the common denominator of (-11)/(-125)*1210/308 and 107/70.
350
Let s(m) = -49*m**3 + m**2 - m - 1. Calculate the smallest common multiple of s(-1) and 20.
100
Let l(c) = -3*c**3 - 22*c**2 + 15*c + 4. What is the least common multiple of l(-8) and 21?
84
Suppose 0*s = 2*s - p + 115, -2*p = 3*s + 190. Find the common denominator of 63/16 and (s/16)/(2/((-44)/(-3))).
16
Suppose -5*g = 10, 0*g + g = -2*m - 1808. Let k = m - -1893/2. Calculate the common denominator of k and -9/8.
8
Let j be (81/15 - 5)/((-296)/(-30)). Let u = 85/1554 + j. What is the common denominator of u and -14/39?
273
Suppose -2*o + 4 = -5*w - 27, 0 = o + 2*w - 20. Suppose 5 = -3*h + 29. Let l = h + 16. What is the lowest common multiple of l and o?
72
What is the common denominator of 17/10 and (-66)/(-4) + 3 + 6 + -3?
10
Suppose -g + 0*g = 5*b + 25, 3*g + 15 = -3*b. Suppose 9*m + 1 - 145 = g. What is the least common multiple of 16 and m?
16
Let y(s) = 7*s**2 - 16*s - 13. What is the least common multiple of y(-1) and 133?
1330
Suppose 0 = 2*q + 4*w + 8852 + 16698, 0 = -4*w + 12. Let y = -1339555989/22 - -60901685. Let t = q + y. What is the common denominator of t and 119/18?
198
Suppose 13*r - 48 = 5*r. What is the smallest common multiple of 24 and r?
24
Let p be 10/(-15) + (1 - 5). Let o = -259/60 - p. Let l = 42/683 + 31535/31418. Calculate the common denominator of o and l.
460
Let n(i) = -5*i - 33. Calculate the least common multiple of 2 and n(-7).
2
Let u(k) = 11*k + 1. Let r be u(1). Let l be (-198)/r*10/(-1). Calculate the common denominator of -34/11 and ((-3)/(-18))/((-2)/l).
44
Let h(f) = f**3 - 11*f**2 + 11*f - 9. Let q be h(10). Suppose -q = -w + 5. Calculate the least common multiple of 8 and w.
24
Calculate the common denominator of 15 - 20 - (-5517)/1080 and -53/192.
960
Let u = 7 - 7. Suppose 5*q + 3*j = -17, 11 = 5*q - u*q - 4*j. What is the common denominator of ((-15)/(-22) - q)/(-1) and -55/2?
22
Let w = 24 + -23. Suppose -5 = 3*q + 1. What is the least common multiple of w and (-1)/(3 + q)*-4?
4
Let d = -599 + 10793/18. Let g(y) = -97*y + 2. Let n be g(-2). What is the common denominator of ((-207)/(-147))/(7/(n/(-8))) and d?
126
Let t = -458 - -473. What is the least common multiple of 15 and t?
15
Let m = 948061/166330 - -2/16633. What is the common denominator of (-8)/20 - (-3447)/(-1170) and m?
130
Suppose -56 = -14*k + 252. What is the least common multiple of 168 and k?
1848
Let d be (13 - -14) + (-1)/1. Let y = -15 + d. What is the common denominator of 1/y*(-3 + -10) and 1/2?
22
Suppose o = 3*h - 74 - 80, 0 = -5*h - 5*o + 270. What is the lowest common multiple of h and 28?
364
Let n = 45 + -21. Suppose -n = -6*w - 0*w. Suppose -h = -a + 18, -w*h = 3*a - 5*h - 50. What is the least common multiple of a and 20?
80
Let f(y) = y**3 + 2*y**2 - 3*y + 4. Let b(q) = q**2 - 12*q + 15. Let o be b(11). Suppose 5*i - o = 4*i. Calculate the least common multiple of f(-3) and i.
4
Suppose -3*h = 3*i - 168, -98 - 168 = -5*i + 2*h. Let z be (19 - 1)*18/i. Calculate the lowest common multiple of 12 and 112/6 + 8/z.
60
Let b = -25879/5634 + 64/313. Calculate the common denominator of -19/56 and b.
504
Let w be (-2)/(-106)*429/(-21). Let j = 3/106 + w. What is the common denominator of (-8)/66*(-618)/(-16) and j?
154
Suppose -4*h - 18 = 3*y, h + 4 = 3*h - 5*y. Suppose -4*m = 2 - 6. Calculate the common denominator of -47/18 and (-865)/(-240) - m/h.
144
Let q = -85/71 - -5339/5112. Calculate the common denominator of q and 1/72.
72
Let t(q) = -51*q**3 + 8*q**2 - 4*q - 2. Let y be t(6). Let u = 