
Let b = -3226 - -3490. What is the least common multiple of b and 308?
1848
Let l(z) = -3*z + 34. Let j be l(10). Suppose -5*f + 10*f = -p + j, -40 = -5*p - 5*f. What is the least common multiple of 12 and p?
36
Let a(i) = -91*i**2 - 12*i + 8. Let q be a(-7). Let k = q - -34891/8. What is the common denominator of k and 46?
8
Let r(k) = 2*k - 16. Let b(q) = -q**2 + 7*q + 4. Let o be b(5). Let h = 238 - 206. What is the least common multiple of r(o) and h?
96
Suppose 761123 - 158762 = -93*j. Let g = 62/22931 + -1189683707/183448. Let b = j - g. Calculate the common denominator of -85/4 and b.
8
Suppose 0 = 23*b - 26*b + 48. What is the common denominator of 5 - b/(-60)*-36 and 52/9?
45
Suppose 3*q = 8*q + 30, 2*g + 5*q - 964 = 0. Calculate the least common multiple of 71 and g.
497
Let j = 10 + 20. Suppose 4*z + 3*c = 78, 2*z - 253*c = -258*c + 18. What is the lowest common multiple of z and j?
120
Suppose 5*o + o - 468 = 0. Suppose -6*h + 9*h - o = 0. Suppose h*k - 28*k = -20. What is the smallest common multiple of k and 15?
30
Let g = -41843/706180 - -7/2077. Calculate the common denominator of g and -71/612.
3060
Let w be (0/(-3) + 1)*-124. Suppose 17*m - 619 = -2387. Let k = m - w. What is the smallest common multiple of k and 20?
20
Suppose -10*n = -646 + 706. Calculate the common denominator of ((-2)/n)/(4060/1029 + -4) and 53/20.
40
Let v = 826/489 - 2784617/3912. Let t = -712 - v. Calculate the common denominator of (-210)/4*((-92)/(-20) - 4) and t.
8
Let b = 28897/12 + -7213/3. Find the common denominator of b and (-1410)/(-702) + 4/18.
52
Let w(u) = 9*u - 14. Let t(l) = -19*l + 29. Let b(r) = 6*t(r) + 13*w(r). What is the least common multiple of b(6) and (-8)/56*(-19 + 5)?
10
What is the smallest common multiple of (22/8)/(2/32) and (-40)/(-620) - ((-2133)/93 + -5)?
308
Suppose 42155 = -3*i + 218447. Let s = -518021965613/8814390 + -950/293813. Let t = s + i. What is the common denominator of t and -61/33?
330
Let w = -2057551025/1792 - -1148187. Calculate the common denominator of 1/10 and w.
8960
Let j = 884665 + -7133425/8. Let h = j + 7022. Calculate the common denominator of h and -35/4.
8
Let s = 66011/4 + -16684. Let m = s - -179. Calculate the common denominator of 49/4 and m.
4
Let z = -13806 + 13810. Let q = 5 + -1. Suppose q*n - 42 = -18. What is the lowest common multiple of z and n?
12
Let l be (1 - (-29)/(-4)) + (-27)/(-108). What is the smallest common multiple of 11 and 3/l*1/((-4)/192)?
264
Suppose 10*x + 1763 + 827 = 0. Let h = 4/41 + -409/410. What is the common denominator of (-449)/14 - 148/x and h?
10
Let q = -1/49687 + 55013/264632962. Let n = -75/181823744 + 27841579575431/1452589890816. Let h = q - n. Find the common denominator of h and 11/9.
18
Let m(a) = -23*a + 950. What is the least common multiple of 0 + (-120)/(1 - 5) and m(40)?
30
What is the common denominator of (1 + -3 - 36/8) + 3 and -149/2380?
2380
What is the least common multiple of 416 and (-84332)/(-1624) - (-2)/28?
416
What is the lowest common multiple of 8/(-9) + 89110/315 and 42?
1974
Let d(j) = j**2 + 5*j - 4. Let m(z) = -z**3 - 6*z**2 + 2*z + 4. Let y be m(-6). Let t = 6321 + -6301. Calculate the lowest common multiple of d(y) and t.
20
Suppose 5*r + 37 = 142. Let d = 4 + 14. Calculate the smallest common multiple of d and r.
126
Suppose 8*y - 36 = -y. Calculate the common denominator of (-5 + 8)/(-570)*295/y and 13/114.
456
Suppose -39*a - 90 = -34*a. Find the common denominator of (21/a)/(-7)*(10 - -73) and -61/14.
42
Let c = -136 + 143. Find the common denominator of (2/4)/(4/(-26)) and 3/50*6 + (-14)/c.
100
Let z = 5 - 39/14. Let u = 46 + -54. Find the common denominator of z and u/(-36) + 2555/3690.
574
Let o be 2677378/(-4284) + 3 + 1. Let c = 1255178407/2017781 - -4/118693. Let h = o + c. Calculate the common denominator of h and -65/4.
252
Let v = -277 - -411. Calculate the smallest common multiple of 1/(-3)*-2*(-1029)/(-343) and v.
134
Suppose -100 = -9*d - 55. Suppose 0 = 4*j - d*n - 18, 5*j - 3*n - 16 = -0*j. Calculate the least common multiple of j and 64.
64
Suppose -5*t = 4*m - 145, 3*t = 4*m + 6*t - 143. Suppose -4*s - 52 = -3*j, j - 4*s = 12 + 8. What is the smallest common multiple of 10/m - (-108)/14 and j?
16
Let h = 16/16687 + -271841/22460702. Calculate the common denominator of -111/20 and h.
13460
Suppose 2*c + 14 = 2*j, 80*j - 14 = 78*j - 4*c. Let v(b) = 17*b**2 + 2. Let p be v(5). Find the common denominator of ((-1)/16)/(j/p) and -17/70.
560
Let n be 0 + 2 + (-7)/7. Let k = n + 21. What is the smallest common multiple of ((-24)/20)/(2/(-10)) and k?
66
What is the common denominator of (-472192)/(-104346) + 2/66 and 619/(-60) - (-2)/5?
36
Let y = -3809 + 3817. Calculate the lowest common multiple of 542 and y.
2168
Let j(k) be the second derivative of 0 + 0*k**3 + 2/3*k**4 - 3*k**2 - 1/20*k**5 - 5*k. Find the common denominator of j(8) and 63/10.
10
Let w(t) = t**3 + 8*t**2 - 30*t - 9. Let o be w(-11). Let u = -550 - -7685/14. Calculate the common denominator of u and (-26)/(-91) - 807/o.
14
Find the common denominator of 3/((-55)/(-220) + (-10485)/276) and -16/2387.
9548
Let g = -189611/22 + 8623. Find the common denominator of g and -29.
22
Suppose -2*m + 3*m = 88. Let i = -3915 + 4003. Calculate the least common multiple of m and i.
88
Let f = -6278 + 6318. Suppose 0 = -3*w - 2*g + 122, 4*w + g - 164 = -3*g. Calculate the lowest common multiple of w and f.
40
Find the common denominator of 2930/1240 + (-3)/4 and 17/124.
124
Let q(s) = 25 + 8*s - 14*s**3 + 5*s**2 + 4*s**2 - 18*s**3 + 31*s**3. What is the lowest common multiple of 33 and q(10)?
165
Suppose 88*l + 86037 = 91*l. Let j = 1577303/55 - l. Calculate the common denominator of j and 9/50.
550
Let j = -52/27643 - 4387249/63026040. What is the common denominator of 74/9 and j?
6840
Let k(w) be the first derivative of -w**3/3 + w**2/2 + 12*w - 3. Suppose -101*g + 114 = -84*g - 158. Calculate the smallest common multiple of k(0) and g.
48
Let d(a) = a**3 + 35*a**2 + 82*a + 12. Calculate the lowest common multiple of d(-31) and 90.
6570
Let j = 12570 + -351893/28. Let v = 2034813/20 + -101745. Calculate the common denominator of j and v.
140
Let x be 3 + ((-1523088)/(-44))/(-6) + -3. Let z = x - -5765. Find the common denominator of -44/15 and z.
165
What is the common denominator of 74/9 and ((-3)/6)/((-57780)/4387)?
1080
Let x(h) = -h**2 - 38*h - 93. Let f be x(-35). Calculate the common denominator of -125/36 and f/(-18) + 775/360.
72
Suppose -48 = -2*q - 4*x, 2*q + 5*x - 150 = -5*q. What is the least common multiple of q and 64?
320
Suppose 0 = -3*n - 2*a + 1, -13*a = -5*n - 10*a + 8. Let d = -12 + 4. What is the least common multiple of n and (-6)/(-4)*d/(-3)?
4
Suppose -2*o + 187 - 171 = j, 3*o = -3*j + 66. Calculate the least common multiple of 1225 and j.
4900
Let k(u) = u**2 - u - 3. Suppose 3*w + 4*l - 119 = 0, -3*l + 0*l = -6 - 9. What is the lowest common multiple of w and k(4)?
99
Suppose 4*b - 1973 - 427 = 0. Let c = b + -585. Calculate the smallest common multiple of 45 and c.
45
Suppose 4*c = 2*v - 34, v = -c + 32 - 3. Suppose 12 = 3*f - f. Let b(r) = r**2 - 5*r - 3. Calculate the lowest common multiple of b(f) and v.
75
Find the common denominator of (-69112)/(-9912) + -7 - 1/((-49)/21) and -41/153.
9027
Let j = 285 - 157. Suppose g + 16 = q + 5*g, -j = -5*q + 4*g. What is the lowest common multiple of q and 6?
24
Suppose 103*q - 36 + 3 = 70. Calculate the lowest common multiple of q and 6126.
6126
Find the common denominator of 12*(-4)/(-456) + (-2064)/(-969) and (1008/(-45))/(-1 - -3).
85
Suppose 115 + 25 = 10*n. Let u be (28/35)/((-4)/(-10)) + n. What is the common denominator of -31/18 and u/36*(-1074)/80?
90
Suppose 13*w = -19*w + 160. Suppose t - 53 = -4*q + 1, -61 = -w*q + 2*t. Let j(o) = 3*o - 3. Calculate the smallest common multiple of j(2) and q.
39
Let m = 432939/462830 - -1/14930. Let p = -1566/1111 - 78/101. Find the common denominator of m and p.
341
Let p(r) = 3*r**2 + 5*r - 6. Let d be p(-6). Suppose 4*n = n + d. Let j = -6 + n. Calculate the least common multiple of j and 16.
144
Suppose -2*n - 5*w - 25 + 4 = 0, -15 = n + 4*w. Calculate the common denominator of 25/83 and -6*(n - (-55)/9).
249
Suppose -3*s - 24 = 5*