v) = v**2 - 17*v + 3. Let i be q(15). Suppose x - 2*f = -13, -x - 2*f - 14 = -3*f. Let k = x - i. Calculate the lowest common multiple of 6 and k.
12
Suppose -1020 = -7*x - 3*x. What is the smallest common multiple of -2 + 2 - (-3 - x/6) and 70?
140
Let z = 30032650211/7413 - 4051349. What is the common denominator of -23/9 and z?
22239
Suppose 0 = -5*i - 20, 4*b + 2*i - 73 = -437. Find the common denominator of -67/8 and b/12*(3 + 360/(-132)).
88
Let o = 1541759881/1212 - 1272079. Calculate the common denominator of 109/3636 and o.
3636
Let n(f) = f**3 + 6*f**2 - 14*f - 77. Let h(m) = 4*m**2 - 53*m + 7. Let q be h(13). What is the least common multiple of n(q) and 24?
168
Let w = -3983/186 - 57/62. What is the common denominator of w and -11/210?
210
Calculate the common denominator of 21/260 and (-10)/(-50) - (-3252)/240.
260
Let f = 1481 + -17689/12. Suppose 6344 = 5*j - 18121. Let i = j + -107587/22. Calculate the common denominator of i and f.
132
Suppose -2*w - 4*q + 0 + 8 = 0, -3*q = 3. Suppose -3*j = -2*o + 2, o = 5*j - 4 + 12. Let b(y) = 6*y**2. Calculate the least common multiple of w and b(j).
24
Let q = 11419 + -10927. What is the lowest common multiple of 40 and q?
4920
Let m = -1749 - -2001. Calculate the least common multiple of 396 and m.
2772
Let m(u) = 14*u**2 + 47*u - 266. Calculate the smallest common multiple of m(5) and 58.
638
Suppose -30*n + 30*n - 612912 = -113*n. Calculate the least common multiple of n and 12.
5424
Suppose 0 = 55*a - 61*a - 12. Let f(k) = -11*k + 5. Calculate the lowest common multiple of 12 and f(a).
108
Suppose -77 = -o + m, 2*o - 4*o + 3*m + 158 = 0. Let a = o - 71. Suppose -u + y + a = 0, 2*y = 5*y - 12. Calculate the least common multiple of u and 20.
60
Let q(i) be the second derivative of i**5/20 - 2*i**4/3 - i**3/6 + 3*i**2 + 8*i. Let r be q(8). What is the least common multiple of (26*(-2 + 0))/r and 12?
156
Suppose 0 = n + 5*w + 1, 3*w - 18 = -5*n + w. Let d = -2 - n. Calculate the lowest common multiple of 8 and (d/(-6))/(1/1).
8
Let b be 1/(-2)*(3 - 3). Suppose -z + 4*k + 12 = b, 5*z - 3*k = 32 - 6. What is the smallest common multiple of 12 and z?
12
Suppose 51 = h + 12*g - 14*g, -5*h - 3*g = -268. Suppose 418 = h*f - 34*f. What is the smallest common multiple of 16 and f?
176
Let t(g) = 9*g - 101. Let m be t(11). Calculate the least common multiple of 5 + (-4)/(m - 0) and 4.
28
What is the least common multiple of 22 and (-1142384)/(-40) - -19 - (-6)/(-10)?
28578
Let x(k) = -k**3 + 10*k**2 + 10*k + 1. Let m be x(11). Let y = m - -16. Find the common denominator of -71/44 and ((-730)/45)/(((-8)/y)/1).
132
Let k be (9/(-6) - -1)*(1 + -7). Suppose k = 10*z - 7. Let w(q) = 35*q**3. Calculate the least common multiple of z and w(1).
35
Let n = 31838 - 127297/4. What is the common denominator of n and 7/278?
556
Let r = 1858 - 178459/96. What is the common denominator of r and -11/32?
96
Let q(h) = -h**3 + 30*h**2 - 31*h + 50. Let m be q(29). Calculate the common denominator of m/(-10)*(-1558)/(-1824) and -157/90.
180
Let c(o) = 2*o + 39. Let a be c(-18). Suppose 23 = -4*k + a, h - 5*k = 27. Calculate the common denominator of ((-3)/2 + h)/(154/(-66)) and -131/12.
84
Let x(a) = a**3 - 6*a**2 + 4*a + 9. Let f be x(9). Let w be 1560/f*(-30)/4. Let g = 4253/104 + w. Find the common denominator of g and 93/10.
130
Let b = -33 + 41. Let y = b + 1. Calculate the smallest common multiple of 168/y + (-8)/(-6) and 20.
20
Suppose 5*m + 29 = p, 2 = p + 58*m - 54*m. Suppose -3*t + 50 + 20 = 4*n, 0 = -4*t + 8. Calculate the least common multiple of n and p.
112
Let s be -3*(-8)/36*(-18)/(-4). Suppose 303 = -3*d - 2*m, s*m + 199 = -4*d - 206. Let l = d + 115. Calculate the smallest common multiple of l and 16.
16
Suppose -2*x - w = -3052, -5*w - 1659 = -3*x + 2919. Let s = 21383/14 - x. Find the common denominator of s and (-426)/(-172) + (7 + -10)*1.
602
Suppose 17*h = 47550 + 165664. Calculate the least common multiple of h and 8.
50168
Suppose 8 = 36*v - 44*v. Calculate the common denominator of 22/(65/6 + v/3) and -73/39.
273
Let s = -525/16 - -649/16. What is the common denominator of s and -39/23?
92
Let i(o) = o**3 - o**2 - 78*o + 18. What is the smallest common multiple of i(10) and 92?
276
Suppose -2*k = -9*q + 8*q + 20, k + 43 = 2*q. Let a be (-4)/8*(-1 + 9). What is the least common multiple of q and (a/7)/(6/(-21))?
22
Suppose -3*x = 2*u - 32928, -4*u - x + 65872 = x. Let y = 1449413/88 - u. What is the common denominator of y and 9/80?
880
Suppose v - 970*i - 184 = -973*i, 487 = 3*v - 4*i. What is the smallest common multiple of 676 and v?
676
Suppose 81*z - 79*z - 1064 = 28. Calculate the lowest common multiple of z and 312.
2184
What is the common denominator of (-1)/(3/(-2))*((-1350)/624 + 3) and -37/130?
260
Suppose 23*v - 20*v + 10*v = 182. Calculate the least common multiple of 292 and v.
2044
Suppose i = g - 199 + 36, -5*g + 2*i = -806. Calculate the lowest common multiple of 120 and g.
480
Let d be (30/4 - 5) + (-2)/4. Suppose -d*u + 22 = -5*v - 0*v, -5*u = -v - 32. What is the smallest common multiple of u and 9?
18
Suppose 0 = -5*a - 81*a + 3354. What is the lowest common multiple of 105 and a?
1365
Suppose -3*y + 5*z + 82 = 2, -3*z = -y + 24. Suppose 67*j = y*j + 518. Calculate the least common multiple of 792 and j.
5544
Let h(w) = -w**3 - 13*w**2 + 8*w + 66. Let d be h(-14). What is the common denominator of 77/36 and d/200 - 66/(-4)?
36
Let d be ((-21731)/(-3))/(77/21). Let s = d - 1974. What is the common denominator of 1/(-4) - (-6)/(-2) and s?
44
Let p = -87 - -99. Suppose -5*g - 3*k = -225, -3*g = -2*g + 2*k - 38. Let v = g + -38. Calculate the least common multiple of v and p.
60
Let a(j) = 7*j - 12. Let v(k) = 10*k - 12. Let s(o) = -3*a(o) + 2*v(o). Calculate the smallest common multiple of s(-4) and 280.
560
Let o = 4876747/172 + -28353. Find the common denominator of o and 4/903.
3612
Let x be (2931752/(-12))/(-2 + (0 - 10)). Let b = x + -20366. What is the common denominator of 13/18 and b?
18
Let h = 748820/2333 - 25059562601/78584772. Let z be 2/(-14)*9/(-3609). Let s = z + h. Find the common denominator of -40/21 and s.
84
Calculate the common denominator of (3/7)/(1264/19908) and 59/476.
476
Let t = -1934648 - -2573081957/1330. Calculate the common denominator of 53/315 and t.
11970
Let m = -54161/1098 + 881/18. Calculate the common denominator of m and 9/488.
1464
Let q = -6/1661 + -123/151. What is the common denominator of -39/548 and q?
6028
Let z be ((-69)/126)/(102/(-32) + 3). Let w = z + 11/9. Calculate the common denominator of 24/151 and w.
1057
Let z(y) = 359*y + 2520. What is the smallest common multiple of 12 and z(-2)?
10812
Let r(c) = 2*c + 13. Let q be r(-11). Let j = -3463/4 + 10195/12. Calculate the common denominator of (-3)/3 + (-46)/q and j.
18
Let g(h) = 106*h**2 + 398*h - 56. Let w be 4/6 - 4/6. Suppose w = -q - 3*q + 24. What is the smallest common multiple of g(-4) and q?
48
Let t = -124012/107 - -1159. Let n be (645/4280)/(1 - 7/(-4)). Let u = t - n. Calculate the common denominator of u and -123/10.
110
Let y = 164937/10 - 16489. Calculate the common denominator of y and 4/11.
110
Let j(g) = -12*g - 15. Let b be j(-8). What is the common denominator of 3 + -5 + 26/32 and 0 - -3 - 4*b/360?
80
Let w be ((-2 + -2)/(-1))/(71/7526). Let u = 438 - w. What is the smallest common multiple of u and 12?
84
Let q = -25824 - -464699/18. Calculate the common denominator of -143/1314 and q.
1314
Let p(r) = r**2 + 8*r + 1. Let o be p(-8). Suppose 0 = 2*u + 3 + o. What is the common denominator of (u - -1)/((-160)/(-1328)) and -39?
10
Suppose 0 = -48*a + 22*a + 78. Suppose 4*g - 2*t - 190 = 4*t, -40 = -g + a*t. Calculate the least common multiple of 143 and g.
715
Calculate the common denominator of 1176/(-96)*(-36)/(-5715) and -87/1778.
8890
Let t be (0 + -1)/((-12)/48). Suppose -m - 2*u = 10, -t*u - 2 = -4*m + 6. Find the common denominator of 2 - m*(-261)/(-24) and -29/32.
32
Calculate the common denominator of (2/(-108))/(19/2090) - -3 and (3/3 + 57)/(-3).
27
Calculate the smallest common multiple of 3 and 377/143*11 - (-4 + (-1 - 1)).
105
Let c be (2/9)/(4/(-804)). Let i = -44 - c. Let q = i + -209/12. What is the common denominator of q and -11/2