alculate the lowest common multiple of p and 69.
414
Let t be 30984/(-20)*10/3. Let i = -41255/8 - t. Find the common denominator of i and 1 - 5 - 54/(-8).
8
Suppose 0 = 2*v + 4*d + 28 + 18, -3*v - 102 = -5*d. Let z = v - -101/4. Calculate the common denominator of -77/10 and z.
20
Let n = -13/20 - -1309/60. What is the common denominator of n and 37/11?
66
Calculate the lowest common multiple of 10 and 38/14 + (-7)/(147/(-6)).
30
Let p(g) = g**3 + 10*g**2 + 8*g. Let z be p(-9). Suppose -z = -0*y - 3*y. Calculate the smallest common multiple of y and 13.
39
Find the common denominator of 8 + (-75)/9 - (-62)/(-24) and ((-78)/(-80))/(75/(-50)).
60
Suppose d - 4 = -4*j, 3*d - 2 = -3*j + 10. Suppose 8*b - 3*b = -10, -2*w - b + 22 = j. Let v = -2 + 6. What is the least common multiple of v and w?
12
Suppose 0 = 328*b - 330*b + 702. What is the least common multiple of 78 and b?
702
Suppose 0*q = 3*q - 6. Let u be q*(2 - 1510/8). Let v = u - -342. Calculate the common denominator of -15/8 and v.
8
Let a = 483627/28 + -17276. Calculate the common denominator of a and -15/8.
56
Let h = 71 - 75. What is the common denominator of 5434/(-726) + h/22 and 11/10?
30
Let k(r) = -r**3 + 6*r**2 + 8*r - 1. Let z be k(7). Let t(l) = z*l**2 - l + l**3 - 3*l + 7*l. Calculate the lowest common multiple of t(-4) and 12.
60
Suppose 1 = 2*w + 5. Let d be (-3 + 1)/(w/(-36)). Calculate the common denominator of 43/20 and ((-69)/d - 2)*1.
60
Suppose 5*m + q - 5*q = -255, -130 = 2*m + 4*q. Find the common denominator of 2/(1*4)*m and ((-4485)/2484)/(0 + (-1)/(-4)).
18
Let p(l) = l**3 - 28*l + 15. Calculate the least common multiple of p(7) and 2.
162
Let q(x) = x**3 - 5*x**2 + 7*x - 8. Let n be q(4). Suppose -3 = 3*c, -3*a + 0*c + 34 = -n*c. Calculate the least common multiple of a and (3/(-2))/((-1)/2).
30
Let w be -1 - 7/(6006/(-7400)). Let h = 161 + -23017/143. Let p = h + w. What is the common denominator of 27 and p?
3
Let s(t) = t**2 - 41*t - 108. Let k = -5 + 19. Calculate the lowest common multiple of k and s(45).
504
Suppose -12 = 2*i - 30. Suppose 2*p = 57 - 51. What is the lowest common multiple of i and p?
9
Suppose -4*i + 16 = 0, 5*i - 4 - 41 = -5*n. Suppose 3*u - 29 = -n. Calculate the least common multiple of u and 16.
16
Calculate the common denominator of 71/16 and (-90)/(-1953)*14/8.
496
Calculate the common denominator of 294/4*6/18 and ((-54)/(-12) + -6)/(-4).
8
What is the common denominator of 37/(-2849)*(-68)/(-12) and 19/126?
1386
Let a = 559739/30 + -18656. Calculate the common denominator of a and 89/102.
510
Let x = -1 + 1. Suppose 0*j + 3*j - o + 27 = x, 3*o = j + 9. Let i(v) = v + 13. Calculate the least common multiple of i(j) and 3.
12
Let m = -4105 - -11061. Let q = 139069/20 - m. Let d = 2/4249 - 386671/25494. Find the common denominator of q and d.
60
Let x(z) = z**3 - 9*z**2 + 18*z + 11. Let j = -7 + 5. Let o(s) = -s**3 - s**2 - 3*s - 2. What is the least common multiple of x(5) and o(j)?
8
Suppose 4*o - 79 + 7 = -4*a, -22 = -o + a. Suppose -3*h = 0, -7*z - 5*h = -4*z - 24. Calculate the smallest common multiple of o and z.
40
Suppose -4*o - 32 = -8*o. Let a = 6409/1288 + 24/161. Calculate the common denominator of a and o/(-3)*(-25)/15.
72
Let v = -81 - -105. Calculate the lowest common multiple of 30 and v.
120
Calculate the smallest common multiple of 36 and 21/(-6)*8100/(-175).
324
Let f = -179 + 199. What is the smallest common multiple of f and 58?
580
Let w be ((-4749)/(-48))/(3/148). Let x(c) = 1627*c - 3. Let k be x(3). Let m = w - k. What is the common denominator of -97/12 and m?
12
Let t = 30 - 10. Let x(v) = -v**3 - 5*v**2 - 3*v + 1. Suppose -5*g - 2*l - 10 - 21 = 0, -g + 3*l = -4. What is the least common multiple of x(g) and t?
80
Suppose a = 4*v + 6 - 0, -5*v - 14 = 2*a. Find the common denominator of a/(280/(-594)) - (-1)/(-7) and -101/26.
130
Let k be (0*(-2)/(-8))/3. Let b(n) = -n**2 + n + 4. Let r be b(k). Suppose 32 = 8*y - r*y. Calculate the least common multiple of 7 and y.
56
Suppose -172 + 46 = -6*l. Suppose -l = -h - 10. Let j = 21 - h. Calculate the lowest common multiple of j and 20.
20
Suppose -15 = -4*a - 5*o, 4*o + 22 = 4*a + 2*o. Let v = 21 - 19. Suppose -7*t + 5 = -v*t. Calculate the smallest common multiple of t and a.
5
Suppose 0 = -0*f + f - 3*y - 21, f = y + 11. Let r = 22 - 1. Calculate the smallest common multiple of r and f.
42
Let p = -3 - -16. Suppose 4*z - p = 3*t, 3*z + 48 = 7*z + 4*t. What is the lowest common multiple of z and 29?
203
Let q(v) = -v**3 - 8*v**2 - 7*v + 3. Let w be q(-8). Let i = -56 + w. What is the least common multiple of 1 and i?
3
Let k = -23 - -25. Suppose k*l = l - 2265. Let d = 27049/12 + l. Find the common denominator of d and -103/18.
36
Let h = -40099/56 - -716. Find the common denominator of 11/36 and h.
504
Let z = -780 + 1968. Calculate the lowest common multiple of z and 2.
1188
Suppose -224*i + 228*i - 32 = 0. Calculate the smallest common multiple of i and 11.
88
Suppose -4*z + 32 = 5*k, -50 = -4*k - z - 20. Let h = 9 + -11. What is the lowest common multiple of k and 11 + -3 + (0 - h)?
40
Let t = 177 + -174. Let b(d) = -d**3 - 8*d**2 - 6*d + 4. Let m be b(-7). Let x(h) = -h**3 - 4*h**2 - 4*h. What is the smallest common multiple of x(m) and t?
3
Let a be (-2 - (-724)/(-236)) + 4. Let b = a - -4874/531. Calculate the common denominator of -99/8 and b.
72
Suppose 3*o - 280 = -2*a, 0 = -a - 6 + 2. Let m = o + -70. What is the lowest common multiple of m and 9?
234
Let r be ((-4)/(-10))/(12/90). Suppose -i + 2*u - 9 = -6*i, 0 = -5*i + 4*u - r. Calculate the smallest common multiple of i and 8.
8
Let m = -15 + 1. Let y(s) = s**3 - 6*s**2 + 11. What is the least common multiple of (-8)/(-14)*(-49)/m and y(6)?
22
Let u = 4 + -1. Let f be (u - (-2)/(-2))*45. Suppose 3*k = -2*k + f. Calculate the lowest common multiple of 10 and k.
90
Find the common denominator of 2/13 + 25500/(-975) and -39/20.
20
Suppose 0 = 7*z + 19*z - 832. What is the smallest common multiple of 14 and z?
224
Let v = -9090583/110 + 82641. What is the common denominator of 143/6 and v?
330
Let j be (-2)/(-3) - (-10)/30 - 4589. Let v be ((-137005)/(-25))/(6/5). Let n = j + v. Calculate the common denominator of n and -35/8.
24
Suppose -28 = -f - 6*s + 4*s, -4*f - 3*s = -117. What is the lowest common multiple of 4 and f?
60
Let z = 24730961/558 - 88641/2. What is the common denominator of 46/27 and z?
837
What is the common denominator of 314/240 + (-90)/(-225) and -41/12?
24
Let v = 1/7938 - 184561/19845. Find the common denominator of v and -55/168.
840
Calculate the common denominator of -87/20 and 16 + -12 + 1 + (-2372)/360.
180
Let q = -16/57 + -385/456. Let t = 19 + -1. What is the common denominator of ((-1)/(-4))/((-33)/t) and q?
88
Let o(i) = 2*i**2 - 9*i - 8. Let x(r) = 3*r**2 - 10*r - 8. Let j(q) = -4*o(q) + 3*x(q). Calculate the lowest common multiple of 10 and j(-6).
40
Let f(k) = -2*k - 5. Let x be f(-4). Suppose 0 = q + 3*n - 89, 4*n - 172 = -x*q + q. What is the common denominator of (0 - -1) + 232/q and 41/11?
110
Suppose -5*s + 4*j - 194 = 0, 3*j + 8 = -5*s - 179. Calculate the common denominator of s and 20/419.
419
Let f = 229 + -223. Let l(s) = s**3 - s**2 + 2*s - 4. Let m be l(3). Suppose -8*p + f*p + m = 0. What is the least common multiple of 18 and p?
90
Suppose c = -3*o + 89, 5*c = 38*o - 41*o + 409. Calculate the smallest common multiple of c and 50.
400
Let f = 15493/8 - 1943. Find the common denominator of f and -57/22.
88
Let p(u) = u**3 - 3*u**2 + u + 3. Calculate the smallest common multiple of p(3) and (-12)/32 + 268/32.
24
Let b(q) = 25*q + 1107. Calculate the lowest common multiple of b(-43) and 8.
32
Let j = -28433 - -17587. Let y = j - -108369/10. What is the common denominator of ((-1)/6)/(1/(-71)) and y?
30
Let q(f) = -3*f. Let n be q(-2). Suppose -4*w - 12 = -6*w. Suppose w*r = -0*r + n. What is the least common multiple of 7 and r?
7
Suppose 3*u + 10 = v - 2*v, 4*u = -20. Suppose -v*j + 4*n = -6, -j - j + 5*n = 1. What is the lowest common multiple of 28 and j?
28
Let n = 950 - 299. What is the least common multiple of n and 4?
2604
Let f = 242 - 234. What is the smallest common multiple of f and 136?
136
Let k(a) = a**3 + a**2 - 3*a - 1. Let n be k(-2)