 8.
8
Suppose 0 = 130*n - 94*n - 108. Suppose 0 = -3*p - 5*j - 170, -j = 3*p - 2*j + 146. Calculate the least common multiple of (8/10)/((-4)/p) and n.
30
Let b = 49574/1053657 + -1/36333. Calculate the common denominator of b and -35/29.
319
Let c = -44/15 - -217/45. What is the common denominator of -67/32 and c?
288
Let q(g) = g + 24. Let w(h) = -h**3 + 9*h**2 - 9*h - 10. Let v be w(8). Let f(j) = 17*j**3 - j**2. Calculate the smallest common multiple of f(1) and q(v).
48
Let m = -19 - -37. Let p(b) = b**2 + 2*b + 2. Let t be p(-2). Calculate the least common multiple of 1 - 1/t*-10 and m.
18
Suppose 2*z - 7 = -3. What is the lowest common multiple of (-2)/(-1*(0 + 1)) and z?
2
Let j(g) = g**3 - 25*g**2 - 9. Let n be j(25). Calculate the common denominator of 17/4 and (5/n)/(12/18)*28.
12
Let s(y) = -3*y**3 + 27*y**2 - 6*y - 25. What is the least common multiple of s(8) and 49?
833
Suppose -4*v - 25 - 3 = 5*k, 4*v + k = -12. Let x be (v - 6)*6/(-4). Suppose -y = 3*y - x. Calculate the smallest common multiple of 4 and y.
12
Let x(j) = j**3 + 13*j**2 + 12*j + 39. What is the least common multiple of x(-10) and 1?
219
Let s = -251 - -2463/10. Find the common denominator of -25/9 and s.
90
Suppose -3*m = -3 - 0. Calculate the common denominator of -2 + 1 + -4 + (1 - 133/(-22)) and m/(-1) - (-105)/(-54).
198
What is the common denominator of 61/16 and 2 - 0 - (9 + (-213010)/30500)?
24400
Suppose 0 = -c + 4*p - 18, -3*p - 2*p + 19 = -3*c. Let h(z) = -1 - z + 2*z + 10*z**2 - z**2 + z**c. Calculate the smallest common multiple of h(-1) and 2.
8
Let d = -18 + -249. Find the common denominator of d/(-4)*(-6)/90 and (-6)/4*25/(-3).
20
Find the common denominator of -43/121 and 5/(-130)*4 + 2848/(-5148).
1089
Calculate the common denominator of 31/(-16) - 0/(-1) and (45/(-24))/(27/(-60)).
48
Let h = 2426089/1228440 - -2/30711. What is the common denominator of h and 87/2?
40
Let a = -66644 - -7997231/120. Calculate the common denominator of a and -53/32.
480
Let j = -25 - -27. Suppose 5989 = -5*x - 2*p - 1652, 5*x + 7649 = j*p. What is the common denominator of 59/16 and (x/(-110))/(6/5)?
48
Calculate the common denominator of (-11)/(-4)*88/(-80) and -73/14.
280
Suppose 0 = 58*f - 32*f - 130. Calculate the lowest common multiple of 27 and f.
135
What is the common denominator of -65/14 and (6/3)/8 + 10/(-728)?
182
Suppose 67*u - 1057 = 1221. What is the lowest common multiple of 21 and u?
714
Let v be (2 + (-2004456)/62)/11680 - -4. Let d = -12/2263 - v. What is the common denominator of 97/6 and d?
240
What is the common denominator of -115/78 and (-1110)/(-2368)*(-1 + (-154)/(-18))?
312
Let n = -111621/22 + 5070. Find the common denominator of 1775/30*-2*(-5)/(-150) and n.
198
Let c = -28 + 16. Let m be (-51)/(-7) - c/(-42). Suppose m*u + 18 = 9*u. Calculate the smallest common multiple of 3 and u.
9
What is the lowest common multiple of ((-12544)/30)/(-14) - 2/(-15) and 39?
390
Suppose 5*o + 497535 = -i, 2*i + 13 = 3. Let k = 10149727/102 + o. Find the common denominator of k and 19/24.
408
Let l = 6 - -2. Let y be 7 - -2 - (l + -5). Suppose -4*k = -y - 2. Calculate the least common multiple of k and 2.
2
Let i = 6/919 - -131345/11028. Find the common denominator of i and -49/40.
120
Suppose 4*g + g = -5*x + 235, 0 = 2*x + g - 93. What is the smallest common multiple of x and 12?
276
Suppose -23 = 5*c + 12. What is the common denominator of (c/(490/(-21)))/(12/(-178)) and -59/4?
20
Let i be 9145/(-40) - (-2)/16. Let j be 1915/(-8) + 4/(-16). Let g = i - j. Calculate the common denominator of -39/10 and g.
40
Let i = -85 - -68. Calculate the least common multiple of (0 - i) + 0/((-2)/2) and 4.
68
What is the common denominator of (-232)/15*(430/(-40) - -10) and -101/66?
330
Suppose 5*y - 3*h + 17 = 7*y, 0 = 3*y - h - 9. Calculate the lowest common multiple of 276 and y.
276
Let s = -1260/19 - -11441/190. Suppose -2*t - 4*o - 2 = -0*t, t + 4*o + 1 = 0. Calculate the common denominator of 82/(-4)*t/(-7) and s.
70
Calculate the common denominator of -21/20 and (4/6)/(((-128)/(-220))/(-4)).
60
Suppose 0*o - 8 = -2*o. Suppose -o = l - 6. Suppose -6 + l = -y. What is the lowest common multiple of 28 and y?
28
Suppose 5*q - 2*u + 4 = 7*q, 3*q - 14 = u. Calculate the lowest common multiple of 412 and q.
412
Suppose -3*g + 18 = 3*s - 0*g, -58 = -5*s + 2*g. Suppose 0 = -s*j + 734 - 144. What is the lowest common multiple of 4 and j?
236
Let k(w) = -2*w**2 + 3*w + 4. Let m be k(4). What is the smallest common multiple of 4/(m/12) + 5 and 4/10 - 32/(-20)?
2
Suppose 3 - 29 = 2*n. Suppose -3*j = -3*b - 3 + 69, -2*j + b - 48 = 0. Calculate the common denominator of n and j.
1
Let i(c) = -4*c. Let k be i(-1). Suppose -k + 39 = 5*d. Let x(r) = 2*r**3 + 15*r**2 - 11*r - 13. What is the smallest common multiple of x(-8) and d?
77
Suppose -3*d - 2607 = 4233. Let n(j) = -2*j - 10. Let g be n(-16). Calculate the common denominator of 9/8 and d/(-198) + (-4)/g.
24
Suppose 219 = 16*r + 123. Let l = 40 + 2. Calculate the smallest common multiple of r and l.
42
Find the common denominator of 693/(-27) - (0 - 4) and -1/63.
63
Let k = -80 + 84. Let m be 1 + (0 + 0 - -1). Let f = k + m. What is the lowest common multiple of f and 10?
30
Let w(a) = a**2 + 5*a - 2. Let b be w(-6). Suppose x - 4 = 4*p - 0, -60 = -b*x + 5*p. What is the smallest common multiple of 8 and x?
40
Calculate the least common multiple of 63 and ((6/(-4))/1)/(2/(-96)).
504
Let j = -208 - -328. Let b = j + -84. Calculate the least common multiple of b and 9.
36
Let a be (1/6)/(2/12) - 4. What is the lowest common multiple of 27 and a/(2/4 - 2) + 34?
108
Let h(p) = -2*p + 22. Let o = -5 - -45. Calculate the lowest common multiple of o and h(10).
40
Suppose 0 = -6*g + 47 - 173. Let d = 23 + g. Calculate the least common multiple of (-1 + -35)*(-3)/d and 22.
594
Let q = -27596159/40 - -689939. Let u = -31081/840 + q. Calculate the common denominator of u and -7/18.
126
Suppose -2*o = -q - 41, 0*q + 75 = 3*o + 3*q. Let f(i) = 2*i - 20. What is the least common multiple of 27 and f(o)?
216
Let h = 20297/4310 + -4/431. Let n = -108 + 136. What is the common denominator of 1393/n + 6/8 and h?
10
Suppose -3360 = -23*t + 7*t. What is the least common multiple of 231 and t?
2310
Let x = -128 - -131. Suppose -2*h + x*n + 58 = -n, 3*n + 138 = 5*h. What is the lowest common multiple of 45 and h?
135
Let l = -1578 + 287251/182. What is the common denominator of l and 56/9?
1638
Let k = -284 + 311. Calculate the least common multiple of k and 108.
108
Let j(a) = a**2 + 2*a - 3. Let t be j(-3). Suppose 3*b - 5 - 25 = t. Calculate the smallest common multiple of 1/((-12)/(-80)) + (-24)/36 and b.
30
Suppose 12*g - 120 = 2*g. Suppose 0 = -3*w + w + 8, 2*w + 19 = 3*r. Calculate the lowest common multiple of r and g.
36
Suppose -2*n + 3*s = -22, 3*n + 4*s = 4*n - 16. What is the least common multiple of n and 18/5 - 10/(-25)?
8
Let m be ((-75447)/180)/(1/23). Let k = m + 9643. What is the common denominator of k and -93/38?
380
Suppose 8*b - 40 = 3*b. Let m = -46 + 51. Suppose -3 = -z + m. Calculate the lowest common multiple of z and b.
8
Let f(i) = 32*i**3 + 2*i**2 + 9*i - 8. Let u be f(-4). What is the common denominator of (-1)/4*2 + u/(-80) and -1/40?
40
Let a = 576 - 609. Let p be 6/34527*2/(-4). Let s = p + -771095/92072. Find the common denominator of a and s.
8
Let s(o) = 2*o**2 + 9*o + 15. Let w be s(-8). Let y = w + -55. Let j = 0 - -20. What is the smallest common multiple of y and j?
80
Suppose 5*l + 2*m = 0, 0 = -4*l - 4*m + 24 - 36. What is the least common multiple of 337 and l?
674
Let d(n) = n**2 + 5*n + 4. Let k be d(-4). Suppose 5070 = 3*x - k*x. Let i = x - 15160/9. Find the common denominator of i and 21/5.
45
Let f(h) = 3*h**3 - 17*h**2 + 11*h - 38. What is the least common multiple of 40 and f(7)?
1880
Let c = 90 - 85. What is the least common multiple of 209 and c?
1045
Let x = -2921 - -35033/12. What is the common denominator of 20/70 - (-691)/(-42) and x?
12
Suppose -5*p - t + 27 = -321, -5*t = -2*p + 150. What is the least common multiple of p and 100?
700
Find the common denominator of (-359)/126 - (-4)/36 and -85/28.
84
Let w = 42 - 38. Let u be w + 3/(30/(-2006)). Let t = -195 - u. Find the c