a be (820/(-8))/((-4)/(-8)). Find the common denominator of -31/47 and (-2)/(110/a + 0).
517
What is the common denominator of 61/14 and (1105/(-1768))/(-2 - 103/(-68))?
462
Suppose -4*p = -14 - 10. What is the smallest common multiple of p and ((-28)/49)/(-2 + 68/35)?
30
Suppose -2*x = -86 - 142. Suppose 8*h = 5*h - x. Find the common denominator of -83/14 and ((-9)/(-2))/((-48)/h).
112
Calculate the common denominator of (4/((-16)/(-20)))/((-16)/(-10)) and -103/24.
24
Calculate the common denominator of 5/22 and (-158)/8*22/154.
308
Let l = -13646 + 40102/3. Let n = 8699/30 + l. Calculate the common denominator of 41/2 and n.
10
Suppose 10*m - 12 = 11*m. Let s be 1000/m - (-6)/(-9). What is the least common multiple of 16 and (240/s)/((-1)/7)?
80
Find the common denominator of (-4234)/(-1160)*(-1 + 21/6) and 79/56.
56
Suppose 6*n - 312 = 228. Calculate the lowest common multiple of 57 and n.
1710
Let c(t) = -2*t**2 - 37*t - 136. Calculate the lowest common multiple of 44 and c(-6).
308
Suppose 9 - 32 = -3*u - k, -3*u + 43 = 5*k. Calculate the least common multiple of u and 51.
102
Suppose 7*m + 9 = 23. Calculate the smallest common multiple of m and 12.
12
Suppose 17 = 3*s - 4. Suppose -s*t + 47 + 107 = 0. What is the smallest common multiple of 16 and t?
176
Suppose y - 10 = 3*g - 57, -g + 2*y + 9 = 0. Suppose 20*i - g*i = 81. Calculate the smallest common multiple of 45 and i.
135
Suppose 1 = i - 5*h - 3, 4*h = i - 2. Suppose 4*f + 20 + 25 = 5*b, b = -2*f - 5. Calculate the common denominator of 58/5 and b + -9 + 5/i.
30
Let q(t) = -t**2 - t + 1138. Let c be q(0). Let y = 5708/5 - c. Find the common denominator of y and -41/10.
10
Suppose -4*z + 16 = z + 2*s, 0 = 2*z + 2*s - 4. Let f = z - -6. What is the smallest common multiple of f and 19?
190
Let t = 58 - -5583. Let r = t + -90203/16. Find the common denominator of r and -71/4.
16
Suppose -2*k - 68 = -w, -k - 112 = -2*w + 30. What is the least common multiple of w and 15?
360
Let s(z) = z**3 + 3*z**2 - 2*z - 1. Let k be s(-3). Suppose 2*n - k*n = 0. What is the common denominator of n - (10/(-44) + -4) and -85/6?
66
Let m = 13905503/150 + -92703. Calculate the common denominator of m and -91/6.
150
Let v be 32/((9 - 10)*4/(-10)). Let n = -15 - -6. Calculate the common denominator of 18*(324/v)/n and -5/11.
110
Let k = 167 - 131. Calculate the least common multiple of k and 1.
36
Let s be 114/(-4)*(5 + -3). Let a = s - -62. Calculate the least common multiple of 2 and a.
10
Calculate the common denominator of -11 - (-286)/36 - -1 and 43/1050.
3150
Suppose 3*a + 2*b + 5 = 0, 0 = -b + 4*b + 12. Suppose v + a = 9. What is the lowest common multiple of v and 1?
8
Suppose 0 = 112*a - 19*a - 279. Let q be (2/3)/((-2)/(-6)). Suppose -4*x + 5*s = -8*x + 9, -q*x = 5*s + 3. What is the lowest common multiple of a and x?
6
Suppose 1 = -r + 4*p - 1, -4*r - 3*p = 8. What is the lowest common multiple of (-10)/3*3*r and 6?
60
Let n(v) = 13*v - 333. What is the smallest common multiple of 54 and n(27)?
54
Suppose -2*j + 9 = -h, -3*h + 0*h - 4*j = -23. What is the lowest common multiple of h and 11/((-33)/(-48))*2?
32
Let u be (-195876)/(-16) - 2/8. Let o be (1 - 3)/(2/u). Let n = -269407/22 - o. Find the common denominator of 21/4 and n.
44
Let r = -2545574446877/14680 + 346808495/2. Let i = r + -1/1835. What is the common denominator of 4374/(-3780) + 2/(-10) and i?
56
Suppose -w = -5*l + 12, 2*l + 6 + 0 = -5*w. Suppose c = 3*u + 41, -l*c + 125 = 3*c + 5*u. What is the common denominator of ((-6)/8 + 2/(-4))*(-16)/22 and c?
11
Let n(i) = -i**3 - 3*i**2 - 2*i - 2. Let m be n(-3). Suppose m*h - 278 = -106. Calculate the smallest common multiple of 9 and h.
387
Suppose v + 140 = -3*v. Calculate the common denominator of (6/55)/((-6)/(-100)) and 0/4 + (-220)/v.
77
Let r(d) = 3*d - 2*d + 4 + 6. Let i be r(-7). Suppose -10 = -q + w + 12, -6 = -q - i*w. Calculate the smallest common multiple of q and 20.
180
Let r = -1920703/78 + 24624. What is the common denominator of r and -71/24?
312
Suppose 3 + 0 = -o, 5*o = m - 60. Suppose -5*q + m = -3*s - 2*s, 3*q + 4*s - 27 = 0. Calculate the lowest common multiple of 1/3 + 123/q and 6.
42
Let c = -6021/4 - -1523. Let a be ((-20)/6)/(1/6). What is the common denominator of c and (-1)/4 + 169/a?
20
Let u be (2/(-4))/(30/(-16452)). Let h be ((-28)/(-8))/(15/1093). Let m = h - u. What is the common denominator of -34/3 and m?
6
Let p = -471 - -4247/9. Suppose -3*w - 2*w = 50. Calculate the common denominator of 12 + -16 + 84/w and p.
45
Let s = -540 + 550. Calculate the lowest common multiple of 118 and s.
590
Let w(j) be the first derivative of j**2/2 + 9*j - 9. Let p be w(-12). Let y(b) = b**3 + 5*b**2 + 3*b - 3. Calculate the least common multiple of y(p) and 6.
6
Suppose 16*x - 100 = 11*x. Suppose 2*z = 3*z - 20. Calculate the lowest common multiple of x and z.
20
Let w = 0 - -2. Suppose 3*p + w*p = 60. Suppose a = -a + p. Calculate the lowest common multiple of 1 and a.
6
Let a(b) = 20*b + 56. What is the smallest common multiple of 492 and a(-2)?
1968
Suppose 65 + 5 = 2*b. Calculate the least common multiple of 50 and b.
350
Let v = 1/5317 + -186149/287118. Find the common denominator of v and -49/30.
270
Let v = 353 - 331. Let z be (-5 + 2)*-2 - 1. Suppose 94 = z*a + 14. What is the least common multiple of a and v?
176
Let r = -204349/14 - -14590. Let m = 45083/6 + -7497. Calculate the common denominator of r and m.
42
Let f be 1291/(-20)*105/14. Let j = -481 - f. Calculate the common denominator of 111/14 and j.
56
Suppose -7*s + 10*s = -90. What is the common denominator of 3/(s/4) - (-493)/120 and 1415/(-550) + 2/(-10)?
264
Let p(r) = r**3 + 5*r**2 + 4*r - 1. Let h be p(-3). Find the common denominator of -95/24 and 15*(2/h)/((-27)/20).
72
Let x be (1 + 0)*(4 + 0). Let b(n) = -2*n**3 - 2*n**2 + 4*n + 5. Let g be b(-2). Suppose -c = x*c - g. What is the least common multiple of c and 7?
7
Suppose 10 = -2*h + 2*o + 3*o, h + 2 = o. Suppose -v + 12 - 9 = h. Calculate the lowest common multiple of v and (-2)/(((-3)/(-2))/(-3)).
12
Suppose 10*p + 6 = 13*p. Suppose 81 = p*b + 69. Calculate the smallest common multiple of 2/(-2)*-10 + -2 and b.
24
Let b = -18248 - -23996119/1315. Let y = b - -49977/9205. What is the common denominator of y and 121/10?
70
Suppose -7*d + 63811 = 18598. Let a = d + -1869. Let m = a - 27395/6. Calculate the common denominator of 50 and m.
6
Let y = 12/3649 + -310417/76629. Find the common denominator of 71/112 and y.
336
Let o = 124/9 + -128/9. Find the common denominator of 14/(-12) - 12/16 and o.
36
Suppose 2*s + 10 = 0, -3*u - 5*s - 4 - 3 = 0. Let a be (8/5)/(6/45*-3). Let z = a + u. What is the least common multiple of z and 4?
4
Find the common denominator of -87/40 and (-6)/(-33) + (-3505)/(-2200).
40
Let j(r) = -r**3 - 12*r**2 + 12*r - 12. Let p be j(-13). Let h(b) = -p - 59*b**2 + 3 - 15*b + 58*b**2. What is the lowest common multiple of 28 and h(-15)?
28
Let o be -1*3/(-2)*2. Let g = o + -3. Find the common denominator of g + 0 + (-37)/(-4) and 61/8.
8
Suppose -4*r + p = -275, 21*r - 26*r - 2*p + 360 = 0. Calculate the least common multiple of 10 and r.
70
Suppose -4*o - 3*v = -o - 15, -2*v = -2*o + 18. Suppose -3*g + m = -633, o*g + m = 2*g + 1063. What is the common denominator of 21/10 and -2 + 0 + g/(-8)?
10
Let n be (6/(-8))/3 - (-2145)/52. Suppose 17*r + n - 177 = 0. Calculate the least common multiple of (-81)/(-4) + 1/(-4) and r.
40
Let l = -59573/20853 + -1/2979. What is the common denominator of l and -6/191?
1337
Let t be ((-985)/25)/(3/2). Let i = t - -691/60. Calculate the common denominator of i and -7 - -4 - (-35)/16.
16
Suppose 264 + 110 = 17*o. What is the lowest common multiple of 42/28 + (-14)/(-4) and o?
110
Let f(s) = -1408*s + 1. Let p be f(-1). Let k = 8489/6 - p. What is the common denominator of 21/20 and k?
60
Let n(u) = 13*u**2 - 10*u - 12. Let p be n(6). Find the common denominator of (p/165)/(54/40) and -22/87.
261
Let u = -34275/14 + 2447. What is the common denominator of u and 133/36?
252
Let l = -3 - -8. Let q = 143 - 141. Let u = l + q. Calculate the least common multiple of 9 and u.
63
Let a(b) = -3*b + 16. Let u(l) = 1. Let n(t) = a(t) + 6*u(t). Calculate the least common multiple of 16