l + 30. What is the smallest common multiple of 20 and w?
40
Suppose 2*i = -25*u + 22*u + 109, 5*i - 256 = -2*u. Let l(n) = -n**2 + 10*n - 8. What is the least common multiple of i and l(6)?
400
Suppose -2*v - 48 = -5*v + 3*n, 65 = 4*v - 5*n. Let f = 16 - v. What is the least common multiple of 444/54 + 2/(-9) and f?
8
Let c(m) = -117*m - 86. Let f be c(-7). Let l = f + -713. What is the smallest common multiple of 184 and l?
920
Let t = 62741246 - 3011471597/48. Let k = t + -2256. Calculate the common denominator of k and -41/72.
144
Calculate the common denominator of 2/2 - 2165/3000 and ((-1370)/36)/((-470)/282).
600
Let d = 302542449/1156 - 261715. Find the common denominator of d and 67/408.
6936
Suppose 33 = -0*k + k - 2*h, -5*h = -2*k + 66. Calculate the lowest common multiple of 24 and k.
264
Let u = 37 + -31. Suppose u*y = 4*a + 4*y - 36, a = 5*y + 27. Let x(v) = -v**3 + 6*v**2 + 9*v + 10. Find the common denominator of 23/8 and x(a).
8
Suppose -12*z - 18 = -9*z. Let o be (0*3/z)/(-2 + 5). Find the common denominator of -68/33 and o/(-2) - 610/30.
33
Let x(i) = 336*i**2 + 2*i + 4. What is the smallest common multiple of x(3) and 10?
15170
Let k = -1875505033/2996 - -626003. Find the common denominator of 89/28 and k.
2996
Let y(b) = 4*b**2 + 5*b - 5. Let c be y(-5). Suppose 3*g = -4*u + c, -3*g - 41 + 115 = 5*u. What is the least common multiple of 27 and g?
54
What is the least common multiple of 12 and ((-5911)/(-1028))/((2*-1)/(-48))?
276
Let z = 101 - 90. Suppose z*s - 12*s + 18 = -3*j, -2*s + 4*j = -28. Suppose -9 = -3*x + 2*x. Calculate the smallest common multiple of x and s.
18
Let s(p) = -p - 79. Let h be s(28). Let n = 161 + h. Calculate the least common multiple of n and 21.
378
Suppose 17*t = -36*t + 40 + 119. What is the least common multiple of 933 and t?
933
Let y = 333983/5220 + -1864/29. Find the common denominator of 7/432 and y.
2160
Calculate the common denominator of 7995/650 - (1 - 7)/(-1 - 0) and -19/1545.
3090
What is the least common multiple of 2681 and (1*(-4)/8)/(3/(-2334)) - 6?
2681
What is the smallest common multiple of (2*-2)/((-140)/15330) and 16?
3504
Let t = -122671537623/183083504 + -3/1397584. Let o = -670 - t. What is the common denominator of o and 99/4?
524
Suppose -3*q - 6 = -6*q. Suppose q*m = -4*g + 20, 2*g - 3*m - 24 = -g. Calculate the smallest common multiple of 12 and 11 - (-6 + g + -2 + 5).
24
Let q = -48913/828984 + 12/2657. Find the common denominator of -1/208 and q.
624
Let c(y) be the second derivative of -y**5/20 + 5*y**4/6 - y**3 - 19*y**2/2 + 4*y - 10. Calculate the smallest common multiple of 20 and c(9).
40
Find the common denominator of -27/1682 and (54 + -56)*(-238)/(-48).
10092
What is the common denominator of (-35)/(-126)*87 - 12 and 89/3780?
3780
Suppose -8339754 - 166284934 = 2*o - 2*r, 4*o + 349249366 = -r. Let i = 2968023685/34 + o. Let v = i + 17526. What is the common denominator of v and 25/2?
34
Let y(d) = -48*d + 0 + 61*d + 122. What is the lowest common multiple of 18 and y(-8)?
18
Suppose -324*v - 330 = -357*v. What is the smallest common multiple of 374 and v?
1870
Suppose -2*z + 5*z = 2*q + 605, 0 = -2*z + 4*q + 414. Let i = z + -175. What is the smallest common multiple of 3 and i?
24
Suppose 0 = -q + x - 2574 + 5380, -5*x - 11216 = -4*q. Calculate the least common multiple of q and 56.
11256
Suppose 13*w = -13021 + 5039. Let n = w - -666. What is the least common multiple of 188 and n?
2444
Calculate the common denominator of ((-67)/49 - -1)/(134616/31808) and -65/9.
4977
What is the least common multiple of 8 - (-48)/(-9)*(-12)/8 and 624?
624
Suppose 2*a = 3*j + 14692, a + 4*a + 2*j = 36692. Let i = 73339/10 - a. What is the common denominator of i and -20?
10
Let h(u) be the third derivative of -u**4/6 + 13*u**3/6 + 21*u**2. Let w be h(8). Let k = w - -32. What is the least common multiple of 5 and k?
65
Let l = -34 - -36. Suppose -269 = -5*p + f + 2*f, 5*f = l*p - 119. Suppose p*x - 51*x = 5. Calculate the least common multiple of 9 and x.
45
Suppose 0 = -7*p + 11*p + 1432. Let g = p + 4291/12. Let x = 2/1979 + -25763/35622. What is the common denominator of x and g?
36
Let p = -308 + 410. What is the least common multiple of 6 and p?
102
Calculate the common denominator of 0 - ((-40)/500)/((-13)/((-10595)/(-12))) and 19/137.
4110
Suppose 3*g = 8*g + 10. Let o be (-2)/6*(-63)/18*-6. Calculate the smallest common multiple of 34 and (7/o)/(g/6).
102
Suppose 29*t - 5712 = t. Calculate the common denominator of ((-3)/3)/((-300)/t) and 38/15.
75
Suppose 0 = -8*n - 1314 - 2118. Let b = -428 - n. What is the least common multiple of b and 119?
119
Let x = -28126689779/5895 + 4771279. What is the common denominator of -29/39 and x?
76635
Let g be (-3857)/(-63) + 2/(-9) + -3. Suppose 74 = -4*v + g. Find the common denominator of (1 + 42/(-4))/v and -49/22.
88
Let m(p) = -p**3 + 12*p**2 - 2*p - 3. Let l = 89 - 77. Let d be m(l). Let i = d + 29. Calculate the lowest common multiple of 46 and i.
46
Let s = -484 - -4066. Calculate the smallest common multiple of s and 1194.
3582
Let q be 51*6/(-81)*3*6. What is the common denominator of (-234)/80 - (q - -67) and -95/22?
440
Let f = 80268317/1320 - 668904/11. Find the common denominator of 47/792 and f.
3960
Suppose -11712 = -8*u - 4*m, 12*u - 2*m - 7320 = 7*u. Calculate the least common multiple of 2684 and u.
16104
Let z = -117368 - -63848171/544. Find the common denominator of 61/62 and z.
16864
Let x be (-259)/28*(-12)/3. What is the common denominator of 3/21*(-42)/36*x and 143/6?
6
Suppose -120 = 83*g - 89*g. What is the least common multiple of ((-2)/3 - -1)/(g/300) and 82?
410
Let p(v) = -5*v - 18. Let a be p(-4). Suppose -a*d + 160 = -d + 5*n, d = -4*n + 156. Calculate the smallest common multiple of d and 25.
700
Let o(u) = 26*u + 54. Let h be o(22). Let g = h + -624. Calculate the lowest common multiple of g and 20.
20
What is the common denominator of 69/12202 and ((-5)/(-2))/((-150)/(-1700))*(-3)/12?
73212
Let d(t) = -2*t**3 - 6*t**2 - 33*t - 145. What is the least common multiple of 800 and d(-5)?
2400
What is the common denominator of -23/578 and ((-15)/(-14) + -1)/((629/(-125))/37)?
4046
Suppose 15 = 5*g, 70 = 4*q - g - 167. What is the least common multiple of 810 and q?
1620
Let s(v) = 379*v + 22. Calculate the least common multiple of 178 and s(0).
1958
Let z(b) = 2*b**3 + 13*b**2 + 24*b + 150. What is the smallest common multiple of 4050 and z(-6)?
28350
Let d(r) = -18*r**2 - 553*r + 169. Let g = 136 - 66. Calculate the smallest common multiple of g and d(-31).
70
Suppose 0 = 4*l - 8*l - 16. Find the common denominator of 1421/(-116)*1/l and 41/12.
48
Let g = -800 - -379. Let j = -343 - g. What is the lowest common multiple of 3 and j?
78
Let v(q) = -12*q - 2*q + 8*q - 15. Let t(d) = d - 11. What is the least common multiple of t(17) and v(-3)?
6
Suppose 830*x - 737*x = 261888. What is the lowest common multiple of 2048 and x?
22528
Let v = -3860 - -3880. Let q be (-8)/(-6)*(-1 - -25). Suppose 5*p - 2*t - q = 0, -t = -p + 1 + 3. Calculate the lowest common multiple of p and v.
40
Let c(b) = b**3 + 12*b**2 + 9*b + 10. Let n be c(-10). Find the common denominator of (-1251)/n + 8/1 and -51/112.
560
Let f be ((-2)/(-2) - (-15)/1)*1. Let h be 868/f + 4/(-16). What is the smallest common multiple of 18 and (h/4)/((-48)/(-64))?
18
Let v = 6279025/180264 + -7052/203. Find the common denominator of v and 37/12.
888
Let f(o) = -46*o - 14. Calculate the lowest common multiple of f(-1) and 880.
1760
Let h be 45/936*(-36425374)/(-405). Let l = 4324 - h. Let t = l - -53699/16848. What is the common denominator of t and -59/6?
48
Suppose 3*k + 12 = 2*k + i, -5*i = 0. Find the common denominator of 1*(-318)/48*(5 + (-129)/27) and ((-25)/(-440))/((-2)/k).
396
Let z(y) = 13*y - 15*y - 2 - y**2 + 5. Let h be z(4). What is the lowest common multiple of -6*(-1 - 7/(h/(-9))) and 32?
96
Let c = 19717 - 19267. Calculate the smallest common multiple of c and 2925.
5850
Suppose 15*a - k - 19 = 13*a, -3*k = 3*a + 3. Let z(s) = -8*s - 8. Let f be 1 + ((-14)/2 - 1). Calculate the smallest common multiple of a and z(f).
48
Let r(o) = o**3 + 10*o**2 - 8*o + 8. Suppose 160 + 119 = 35*f - 106. What is the smallest common mult