/134).
8
Let z = -177 - -183. Calculate the common denominator of (((-68)/z)/1)/(240/(-72)) and ((-3)/(-92))/(1/4).
115
Let s(l) = 204*l**3 - 2*l**2 - 4*l - 1. Let w be s(4). Let k = 416289/32 - w. What is the common denominator of k and -21/8?
32
Let n be (-77142)/(-16) + 1/2. Let r = n + -4828. Find the common denominator of 115/42 and r.
168
Suppose -x - f = 0, 0 = -5*x - 4*f + 3 - 2. Let o(g) = 10*g. Suppose w + 3*k = -0*w + 7, -41 = -2*w + 3*k. Calculate the smallest common multiple of o(x) and w.
80
Suppose -103 - 569 = 25*p - 81*p. Let n(d) = d**3 - 6*d**2 - 6*d + 5. Let j be n(6). Let i = j - -43. What is the lowest common multiple of i and p?
12
Let j(d) = -d**3 - 7*d**2 + 24*d + 2. Let s be -14 - (2 + -4)/(3/6). What is the lowest common multiple of 14 and j(s)?
434
Let c = -3 - -19. Suppose 0 = -2*v + 2*w - 0*w - 6, -3*w = 0. Calculate the least common multiple of v/(-3) - (-2 - -1) and c.
16
Suppose 972 = 9*u - 450. What is the least common multiple of u and 2?
158
Let a be (6/89805)/((-30)/(-25)). Let i = a - -1670351/395142. Let k = -3651/148 - -34/37. Find the common denominator of k and i.
44
Suppose 0 = 2*s - 3*s - 4*d + 65, -2*s - 5*d = -127. Calculate the least common multiple of 7 and s.
427
Let h(i) = 19*i - 143. Calculate the smallest common multiple of 8 and h(9).
56
Let l = -22 + 67. Suppose -3*d + 81 = -l. Suppose 4*f + 8 = 0, 0*f = 4*k - 5*f - 50. Calculate the smallest common multiple of d and k.
210
Suppose -2*g + 4*g + 28 = 0. Let s be 4/g*(-3032)/80. Let v = 129/7 - s. Find the common denominator of v and 143/6.
30
Let v be 48/27 - (-2)/9. Let w be v/(-4) - 50/(-4). Calculate the common denominator of (-3 - -2) + (-86)/w and -93/10.
30
Suppose 0 = -6*n + 3*n + 18. Let a(w) = 8*w + 74. Let o be a(-10). Calculate the least common multiple of ((-4)/o)/((-2)/(-6)) and n.
6
Let n(m) be the first derivative of m**3/3 - 5*m**2 - 3*m + 5. Let k(s) = s + 3. What is the lowest common multiple of n(11) and k(9)?
24
Let w(i) = 3*i**2 + 2*i. Let p be w(-3). Suppose 5*b - p = 74. Suppose -5 - b = -3*c. What is the least common multiple of c and 16?
16
Suppose -4*z + 31 = -3*g, -6*z + 2*z = 2*g - 6. Let l = z + 4. Let v = 25 - 12. What is the lowest common multiple of v and l?
104
Suppose -125*h = -126*h + 102. What is the smallest common multiple of 18 and h?
306
Let w(u) = -u**2 + 2*u - 4. Let z(p) = -2*p**2 + 3*p - 4. Let n(q) = 2*w(q) - 3*z(q). Calculate the smallest common multiple of n(2) and 5.
10
Suppose 4*o - 32 = -4*y, 0 = 4*o - 3*y + 8*y - 36. Calculate the least common multiple of o and 24.
24
Let l = -1395 - -245505/176. What is the common denominator of -101/88 and l?
176
Calculate the common denominator of 55/8 and ((-11)/((-5445)/(-6)))/((-4)/(-339)).
440
Let i(v) = 35*v - 1. Let l be i(-1). Calculate the common denominator of -85/6 and -4*(-12)/32 - 285/l.
12
Let w = 4469/2739 - -119/166. Find the common denominator of w and -26/77.
462
Let d = -654703/81 - -8083. What is the common denominator of d and -26/7?
567
Let r be (38876/12)/((-2)/(-1338)). Let z = r + -26049563/12. Let d = 3452 + z. What is the common denominator of d and 43/34?
204
Let u be 4/(-8)*(95478/8)/3. Let s = u + 1978. Let x = 82/3 - 229/12. What is the common denominator of x and s?
8
Find the common denominator of 5/(-20) - (2555/(-150))/7 and 37/22.
660
Let t = 1 - -4. Suppose -t*x = -32 + 7. Suppose 4*s - 6*s + 42 = 2*w, -2*s = x*w - 96. Calculate the lowest common multiple of 8 and w.
72
Let s = 4/8711 - 227442/2081929. Let b = 10324/2629 + s. Calculate the common denominator of ((-498)/(-18))/(-2*1) and b.
66
Let j = -144/13 - 141/26. Let y = -1862 - -37211/20. What is the common denominator of j and y?
20
Let z = -212/3549 + -6/169. Find the common denominator of 31/133 and z.
399
Let b = -2/6923 + -380747/62307. Calculate the common denominator of ((-14)/(-3))/((-14)/(-49)) and b.
9
Let u = -17389 - -956432/55. What is the common denominator of u and -61/180?
1980
Let h be 18/(-15)*(-20)/(-8). Let c = -9 - h. What is the common denominator of (-972)/(-80)*(-2)/c and 123/20?
20
Let l(z) = z. Let j(n) = 2*n - 3. Let y(t) = -j(t) + 4*l(t). Let a(c) = 3*c - 4. Calculate the least common multiple of a(3) and y(4).
55
Let k(x) = -x**2 - 2*x + 2. Let n be k(-2). Find the common denominator of n/11 + (-450)/110 and -56/9.
99
Calculate the common denominator of 47/36 and 5 + 408/(-80) - 674/(-440).
396
Let z be ((-3)/(-9))/(1/99). Suppose -4*q = 2*g - 30, 0*q = -2*g - q + z. What is the least common multiple of g + 1 + (-6)/(-3) and 14?
140
Let h = 5088936594/15895 - 3521808/11. Let v = 6/289 - h. What is the common denominator of (8/110)/((-9)/630) and v?
55
Calculate the common denominator of 6 + -3*(-204)/54 and 83/24.
24
Let w = -473 + 681. Let c = w + 0. Let n = c - 1011/5. What is the common denominator of n and 19/6?
30
Let z(y) = y**3 + 6*y**2 - 7*y - 30. What is the lowest common multiple of z(-4) and 75?
150
Let y = 330 + -319. What is the lowest common multiple of y and 40?
440
Let g = 44 + -50. Let p = g + 16. Calculate the lowest common multiple of 18 and p.
90
Let u = -17 - -19. Calculate the lowest common multiple of 11 and u/4 + 8/16.
11
Suppose -f + 1 - 12 = -3*t, 0 = 3*f - 3*t + 45. Let b = f - -20. What is the smallest common multiple of b and 6/4 - (-2)/(-4)?
3
Let v = -13 + 3. Let j be (-1 - 1) + (v - 165). Find the common denominator of 51/16 and 2/(-8) - j/28.
112
Suppose 46*b - 47*b - 5 = 0. Calculate the smallest common multiple of (2/b)/(3 + 76/(-25)) and 5.
10
Let f = -1475/3 - -10815/22. What is the common denominator of -11/36 and f?
396
Suppose 3*j - 316 = 284. Let x(t) = 41*t - 283. What is the lowest common multiple of j and x(7)?
200
Let n(q) = -q - 1347. Let s be n(0). Let o = s - -2370. Let h = o + -11278/11. Calculate the common denominator of -2/5 and h.
55
Suppose 12*l - 280 = -8*l. Suppose 0 = -2*w + l + 2. Calculate the smallest common multiple of 30 and w.
120
Let t = 5/598 - 20641/1196. Find the common denominator of t and 121/40.
40
Let c = -3/581 - -4121/10458. Let s = 10743 + -53135/4. Let i = 2563 + s. Find the common denominator of c and i.
36
Suppose -5 = 5*r - 40. Suppose 0 = -4*p - 2*k - 1 + 13, -4*p + k = -24. What is the smallest common multiple of p and r?
35
Let r(m) = -m**3 + 4*m**2 - 2*m - 6. Let h be r(3). Let w be h/1*(-51)/(-3). What is the common denominator of -27 and (-1 + 17)*(-3)/w?
17
Calculate the lowest common multiple of ((-78)/104)/((9/(-528))/3) and 198.
396
Suppose -12*z = -13*z + 16. Let j(n) = 13 - 13 - 2*n. What is the lowest common multiple of j(-7) and z?
112
Let m = 10515187/390 + -26962. What is the common denominator of m and 74/9?
1170
Suppose 7*j - 82 - 37 = 0. Suppose -3*s = -7 - j. Suppose 5*p = -5*d + 30, -3*d + 5*d + 30 = 5*p. Calculate the least common multiple of p and s.
24
Let o = -102577/2352 - -136/147. Let f = o + 279/16. Calculate the common denominator of f and 2 - 3 - 267/(-12).
4
What is the lowest common multiple of 4 - (858/(-3) - (2 - 2)) and 7?
2030
Suppose 5*a - 2*h + 6 = 0, 2*a = h - 0*h - 3. Suppose 0 = 5*k - a*k - p + 79, -2*k + p = 34. Let d = k + 37. What is the lowest common multiple of 2 and d?
22
Suppose 25 = -8*l + 3*l, -3*l = -z + 5. Calculate the least common multiple of -3 + 15/6 + (-115)/z and 6.
66
Let b = -100387/20 + 5016. Find the common denominator of -51/50 and b.
100
Suppose 16*u + u = -85. What is the common denominator of 104/50*u/6 + -2 and -1/45?
45
Let n(a) = -a + 15. Let h be n(0). Suppose 0 = 3*i + h, 2*r - 1 = -0*r + i. Let m = r - -8. Calculate the smallest common multiple of 1 and m.
6
Let s = -13 + 10. Let y be 87/(-12) + s/(-12). Let c = y - -13. Calculate the lowest common multiple of c and 6.
6
Let r = 160331/196 - 3275/4. Calculate the common denominator of r and -11/7.
49
Let p = 202913/123712 - 120/1933. Find the common denominator of 55/208 and p.
832
Let d be 4/(-7)*7/(-2). Calculate the common denominator of d/(-4)*369/81 and (-339)/(-2)*30/900.
180
Calculate the common denominator of 478/34 - (13 + 1) and 13/(-4) + -1 + 2.
68
Calculate the common denominator of 428/(-1070)*(358/(-24) + 1) and -1 + 0 + 452/(-48).
60
Let g = -21889399/100 + 218889. Let i = 77/50 + g. Find the common denominator of -9/