y = 41822 - 7126. Let t = 208319/12 - y. Find the common denominator of t and 47/12.
12
Let l be (-541)/7 + (-16)/(-56). Let c = l - -81. Suppose -4*o + 12 = c. Calculate the smallest common multiple of 4 and o.
4
Let h(k) = -k**3 - 3*k**2 + 5*k + 1. Let l(n) = -n. Let m(u) = h(u) - 6*l(u). Let p be m(-5). Find the common denominator of -53/5 and (-3*p/12)/(-31).
155
What is the common denominator of 124/(-54)*3/(-14) and 12 + -7 - (-136)/(-144)?
126
Let k(s) = -28*s. Suppose -a - 13 = -16. Let b(c) = -c**3 + 5*c**2 - 12. Calculate the smallest common multiple of b(a) and k(-2).
168
Let r(z) = -78*z + 1412. Calculate the lowest common multiple of 6 and r(17).
258
Suppose -115643 - 80607 = -10*s. Let o = -470905/24 + s. Let h = 21793/9 + -2425. What is the common denominator of o and h?
72
Calculate the common denominator of 61/228 and (-2)/5016*-2*1186 + -1.
2508
Suppose l + 1170 = 2*w - 265, -4*w - l = -2885. Calculate the least common multiple of w and 240.
720
Let k be (-16)/12*99/(-6) - -2. Suppose -k*c + 26*c = 24. What is the lowest common multiple of c and 16?
48
Suppose -2*t + 52*s = 55*s - 12, 2*t + 4*s = 10. Suppose 5*h - 1 + 21 = 2*r, 4*h = -2*r + 2. Calculate the smallest common multiple of r and t.
45
Let p(o) = -o**2 + 17*o + 16. Let v be p(15). Suppose v = i + 2*i - 2*q, -4*q - 68 = -4*i. Calculate the smallest common multiple of i and (-2)/14 + (-15)/(-7).
12
Let u be (-5)/((-114)/(-290) - 6/10). Let v = u - 43/2. Let a = -5561/315 - 4/315. What is the common denominator of a and v?
3
Find the common denominator of -12 + 2440/135 + (1 - 6) and ((-19)/(1938/(-901)))/((-9)/2).
27
Suppose -8*h + 207 = 63. What is the common denominator of 85/66 and (h/(-180))/(2/(-87))?
660
Suppose -s + 2*o + 326 = 0, 4*s + 3*o = 6*o + 1304. Let b = s - 315. Calculate the least common multiple of b and 3.
33
Suppose -80*h - 1099 = -5899. What is the lowest common multiple of (-6 + 0)*-7*1 and h?
420
Let h = -1417/27 + 273197/5238. Suppose 15596 = -6*o + 896. Calculate the common denominator of (-5)/(-4) - 1 - o/210 and h.
1164
Suppose 22*s + 134 = 354. What is the smallest common multiple of 508 and s?
2540
Let r be (-4)/9 - (-12429)/81. Let x = 40 + -24. Calculate the common denominator of 2/(-3)*(-2 + r/x) and 47/12.
24
Suppose -2*y + 0*y + 32 = 2*a, 5*y + 110 = 5*a. Let s = 40 - a. Calculate the lowest common multiple of 3 and s.
21
Let a be 2/(-5) - (-18635)/(-3). Let o = a - -6215. What is the common denominator of (340/(-612))/((-35)/6) and o?
105
Suppose 5*a = 5, -3055 = -2*f + 2*a + 463. Calculate the common denominator of -47/16 and (-354)/f - 82/(-205).
176
Let h = 407 + 275. Calculate the least common multiple of h and 434.
4774
Let d = -4/50471 + 3382677/14131880. What is the common denominator of d and 85/16?
560
Let h = -26 - -28. Suppose -5*i = 3*l - 4 + 1, i - h = -2*l. What is the common denominator of (l/(-12)*7)/(3/(-38)) and -97/18?
18
Let d = 107157/178 - 602. Let m = -756/89 - d. Find the common denominator of (615/(-70) - -1) + 5 and m.
14
Let h(j) = 2*j**2 - 2. Let f be h(2). Suppose 751*t - 5726 = 5600 - 3065. Calculate the smallest common multiple of t and (-4)/f - 96/(-9).
110
Let q = -42 - -36. Let f be 18*(12/(-6) - 64/q). What is the common denominator of 111/70 and (1 + 2/(-16))*f/(-24)?
560
Suppose 6*r - 6 = -83 + 371. Let j(d) = -d**3 + 7*d**2 + 9*d + 1. What is the smallest common multiple of j(8) and r?
441
Let x be (-3)/(-5) - (7 - 4502/5). Find the common denominator of 109/24 and (x/20)/((-468)/130).
24
Suppose -5*s = -9*p + 8*p - 3842, 0 = -2*p + 16. Calculate the least common multiple of s and 88.
3080
Let t = 4 + 5. Suppose 244 + 233 = -t*s. Let v = -35 - s. Calculate the lowest common multiple of v and 8.
72
Let r be 126/(-70)*4265/(-16). Let y = r - 479. Find the common denominator of 57/80 and y.
80
Calculate the common denominator of -25/138 and ((-18)/5)/(-3) - 13069/(-39480)*-4.
6486
Suppose -13*f - 1073 = 383. Let x = -110 - f. Calculate the common denominator of -33/10 and 2/x - (-235)/(-410).
410
Suppose z - 56 = -5*z + 1114. What is the smallest common multiple of z and 1014?
5070
Calculate the common denominator of 197260/(-78540) + 7/((-119)/(-2)) and (-1)/3*(-5)/(-7).
231
Let n(w) = -1 + 2*w + 0*w - w - 3*w. Calculate the lowest common multiple of 1 and n(-3).
5
Let a be (5 + -2)/((-12)/(-56)). Let u be 92/9 - a/63. Calculate the lowest common multiple of 22 and (-136)/(-85) + 4/u.
22
Let p(k) = 25*k - 100. Let l(q) = 21*q - 95. Let v(f) = -6*l(f) + 5*p(f). Suppose 5 = 5*d - 45. What is the least common multiple of 1 and v(d)?
60
Let o(n) be the first derivative of n**4/4 - 8*n**3 - 12*n**2 + 13*n - 196. What is the least common multiple of 18 and o(25)?
342
Let j(h) = -17*h - 40. Let g be j(-6). Let o = g + -40. Calculate the least common multiple of 77 and o.
154
Suppose 2*b = -0*b + 4. Suppose b*j + 93 = 109. What is the lowest common multiple of 28 and j?
56
Let n = -158 - -108. Let d = 51 + n. What is the least common multiple of 10 and 1/(-5*d) + (-4137)/(-35)?
590
Let g = -803 + 820. Calculate the lowest common multiple of 714 and g.
714
Let m = 78/259 - 67629/227143. Let b = m - 20237/19294. Calculate the common denominator of b and (-28)/(-42) + (-17)/(-6).
22
Let p = 904615403/31438 + 7803/1429. Let k = p + -28775. What is the common denominator of 9/4 and k?
44
Suppose 0 = -21*u + 33375 + 6656 - 8951. Calculate the least common multiple of 32 and u.
5920
Suppose 0 = 3*v - 8*v + w - 49330, 19725 = -2*v - w. Let p = -138179/14 - v. Find the common denominator of p and 87/104.
728
Suppose -22*f + 64 = -30*f. Find the common denominator of 78/20 + ((-96)/f)/(-6) and 36/55.
110
Suppose -4*t + 133*b - 137*b + 452 = 0, 517 = 5*t - b. What is the least common multiple of t and 120?
840
Find the common denominator of -149/702 and (-24)/(-64) - 1125/(-8424).
702
Let z be 2763442/320 + (-62)/(-155). Let l = 17267/2 - z. Calculate the common denominator of -99/40 and l.
160
Let o(c) = -c**2 + 6*c + 38. Let a be o(5). Suppose 3*d - a - 83 = 0. What is the smallest common multiple of 77 and d?
462
Let m be ((-101581)/(-2372))/((-15004)/418). Let j = -2/18383 + m. Calculate the common denominator of j and 151/48.
528
Find the common denominator of -13/7 and (11/17325*-3201 - 2/(-25))/5.
105
Suppose 62*r - 1292 - 25137 = -3055. Calculate the lowest common multiple of 455 and r.
13195
Let j(t) = -5*t**2 - 45*t - 2. Calculate the lowest common multiple of 13/11 + -1 + (-20244)/(-462) and j(-2).
748
What is the common denominator of 31/80 and (-440587)/(-334200)*4/(-14)?
1200
Let t be 8871/(-57746) + (-204)/26 + 8. Let r = t - -95487/71072. Find the common denominator of r and 89/10.
160
Suppose 9*r - 21 = 6*r. Let c(k) = 9*k**2 + 17*k + 16. Let y be c(r). What is the smallest common multiple of 2 and (y/(-160))/(2/(-10))?
18
Let d be (-4)/1*(-45)/90. Suppose d*r + 3 = n - 2*r, -5 = -r. What is the smallest common multiple of n and 7?
161
Let u(s) = -1810*s. Let g be u(1). Let o = -1675138/7 - -37131405/154. Let f = o + g. Calculate the common denominator of 89/12 and f.
132
What is the common denominator of 143/(-56)*(-14)/300 and 7/165?
13200
What is the common denominator of (-18)/(-2) - 16009*(-12)/(-21483) and 179/330?
10230
Suppose -3*r + 117 - 120 = 0. Suppose 3*q + 3*q = -18. What is the lowest common multiple of 6 and (-2)/(-3)*r + (-116)/q?
114
Suppose 3*w + 3*o = 5*o + 310, 2*w - 194 = -5*o. Let i = w - 156. Let b = -24 - i. What is the lowest common multiple of 6 and b?
30
Suppose -3*j = -18*j - 31*j + 44160. What is the least common multiple of j and 90?
2880
Suppose 3*i = 55 - 40. Suppose 51 = i*c - 4*z, 46 = 4*c - z + 3. Suppose -8*g = -c - 5. Calculate the least common multiple of g and 24.
24
Suppose 7*i - 3762 = -2*i. Suppose -192 = -61*j + i. Calculate the lowest common multiple of j and 105.
210
Suppose -26*i + 2*i + 48 = 0. Suppose i*g + 11 = 2*f + 39, -5*f = g + 10. Calculate the lowest common multiple of g and 20.
20
Let a(q) = 90*q + 244. Let g be a(-14). What is the common denominator of -107/6 and g/6*36/(-2304)?
48
Suppose 91*a + 6 = 94*a. Let b be (3 - -1 - 78)*-1. Let v = 114 - b. Calculate the lowest common multiple of a and v.
40
Let p be (-47259)/60 - (5 - (-116)/(-