 the common denominator of (-8)/44 - 3/9 and (-595)/j + 36/198.
297
Suppose -5*m + 146 = 3*t, 4*t - m = 230 + 3. What is the lowest common multiple of 630 and t?
11970
Suppose 4*k = -y - 0*k - 618, 4*y - 3*k = -2472. Calculate the common denominator of (-286)/48 - 6/24 and 1*(y/(-72) - -1).
24
Let f(n) = -3*n**2 + 4 + 4*n - 7*n - 14*n + 12 - 6. Suppose 0 = c - 2*w + 7*w + 16, 2*w = -3*c - 22. Calculate the smallest common multiple of 14 and f(c).
28
Find the common denominator of 49/9231 and (-22 - -162 - 6)/6.
9231
Let l be 4/5*(4 - -1). Let n(a) = a**2 - 4*a + 6. Suppose -5*o + 83 = 4*d, 6*d - 3*d - 64 = -4*o. Calculate the least common multiple of d and n(l).
12
Let v = 19079/5 + -114611/30. Calculate the common denominator of v and 2/4*(-50)/(-24).
120
Let i = 73 + -70. Let n = i + 35. Calculate the lowest common multiple of 20 and (-1)/(-2) + n*(-1)/(-4).
20
Suppose -2*b + 64 = -4*p, 9*b = 12*b - 3*p - 102. Suppose -j + 1 = 4*x - 31, 0 = j + 2*x - b. What is the smallest common multiple of j and 30?
120
Find the common denominator of -33/680 and 600/(-64) + (7/(-14) - 4/16).
680
Let n = 243213824 + -26510851393/109. Let l = n - -4996. Let s = -5185/1308 + l. What is the common denominator of 9/62 and s?
372
Let h = 15 + -5. Let b be ((-8)/(-10))/((98/(-35))/(-14)). What is the lowest common multiple of -7*(-2)/56 - (-23)/b and h?
30
Let c(b) = 13*b + 32. Let y(n) = -24*n - 65. Let r(h) = -11*c(h) - 6*y(h). Calculate the least common multiple of 2 and r(-32).
6
Suppose u + 2 = -2*x + 4, 0 = 3*u - x + 15. What is the smallest common multiple of 42 and 35/10 + (-2)/u?
84
Let q be 7 - ((-2)/6)/(14/126). What is the least common multiple of 18/3 + 10/q*-4 and 104?
104
Let c = -18 - -21. Let v = -4 - -5. Calculate the smallest common multiple of 36 and v/c - (-236)/12.
180
Suppose -5*u - 19 = h, 5*h - 5*u + 6 - 1 = 0. Let j(s) = -416*s + 36. Let z be j(-4). Calculate the lowest common multiple of z/95 + h/(-38) and 22.
198
Let j(h) = 15*h**2 + h + 2. Suppose -5*p - 59 = -374. Let g = p - 61. What is the lowest common multiple of j(-1) and g?
16
What is the common denominator of (-86)/(((-110)/(-3))/(24/48)) and -58/77?
770
Let q = 5832 - 58271/10. Calculate the common denominator of q and ((-84)/(-18))/((-2912)/(-1729)).
240
Let a = -184880429/1068 + 173109. Let g = a - -8098/1335. Find the common denominator of g and 17/10.
20
Find the common denominator of (-93)/13268*(-176)/36 and -13/3959.
11877
Let f = 5 + 0. Suppose -3*o + 2*o + 6*o = 0. Suppose o*l - 25 = -f*l, 0 = -c + l + 1. Calculate the lowest common multiple of 4 and c.
12
Calculate the common denominator of 8 - (1558/(-200))/((-324)/270) and 109/480.
480
Let f be (3850/192)/(-11)*6388. Let i = f - -11640. What is the common denominator of (8/(-18))/(3/(-36)) and i?
24
Let h(d) = 2*d**2 + 6*d - 54. Let b be h(12). Let v = b + -301. What is the smallest common multiple of 7 and v?
35
Let h be (-1 - -9)*(-12)/(-8). Let b be h/24*(1 + 3). Calculate the common denominator of 55/38 and (-150)/36 + b + -1 + -3.
114
Let g = -6670621/330 - -20214. Find the common denominator of 19/273 and g.
30030
Let z = -345 - -364. Suppose 2*m + 578 = z*m. What is the common denominator of m and -149/90?
90
Let o be (-15)/10*9/(-303). Let q = 8567/404 + o. Calculate the common denominator of q and 708/(-8)*(-1)/30.
20
Calculate the common denominator of ((-9)/12)/((-114)/(-112)) and 89/38.
38
Find the common denominator of 25/378 and (5 - -6*372/(-720)) + -3.
1890
Let u = -171218692993/210 - -815324316. Let z = u + 13954/5. Find the common denominator of ((-2)/6)/(22/84) and z.
462
Let g(x) = 2*x**2 - 29*x - 13. Let y(s) = 2*s + 3. Let i be y(3). Let f be g(i). Let c = -90 - f. What is the smallest common multiple of 6 and c?
66
Let c(g) = -2*g**3 - 18*g**2 - 23*g - 88. Calculate the least common multiple of 4 and c(-12).
1052
Calculate the smallest common multiple of (-2*3)/(66/(-44)) and 2448.
2448
Find the common denominator of (((-45)/(-6))/(-5))/((4095/(-66))/21) and -81/610.
7930
Suppose 4*d + 4*m = -137 + 25, 0 = -3*d + m - 92. Find the common denominator of (-1)/d*-2*(-238)/(-7) and 41/5.
15
Let n(v) = -7*v - 285. Let r be n(-41). Suppose 5*d - 3 - 3 = 4*x, x = r*d - 3. What is the smallest common multiple of 418 and d?
418
Suppose -4 = 2*f, -6*f + 32 = 4*t - 2*f. Let b(u) = u**2 + 3*u - 12. What is the smallest common multiple of b(-7) and t?
80
Suppose -3*c + w = -2*c, 4*w - 18 = -2*c. What is the common denominator of -19/8 and (4/(-6))/((-98)/3)*c?
392
Let p = -11 - -26. Let s(i) be the first derivative of -i**2/2 + 21*i - 1105. Calculate the lowest common multiple of 16 and s(p).
48
Let j be ((7 - 0) + -8)*(-2)/(-1). Calculate the lowest common multiple of 18 and (18/8)/(j/(-24)).
54
Let v = 1113/77330 + -8/407. What is the common denominator of v and (-9)/5 + 32/(62720/5208)?
1330
Let o be (-253)/(-276)*156/16. Let y be (-1 - 0)/(16/149). Let i = o - y. Find the common denominator of i and -55/8.
8
Calculate the common denominator of (34/918)/(8/(-2610)*(-25 - -4)) and 59/154.
2772
Let n be ((-58)/87)/(4/(-1002)). Suppose b + 2*u - n = -2*b, u + 49 = b. What is the smallest common multiple of 4 and b?
212
What is the common denominator of -10 + 63/30*(-544)/(-72) and 2/603?
3015
Let h = 1247/5 + -2547/10. Let u be (-2)/4 - (-3084)/(-68). Let q = -11/17 + u. Calculate the common denominator of q and h.
10
Let i be (97/3 - 1)/(2/6). Suppose 0 = -5*l - t + i, 3*l - 6 = 5*t + 28. Calculate the least common multiple of 10 and l.
90
Let k(a) = 11*a + 1328. What is the least common multiple of k(-110) and 1298?
1298
Let l(p) = 11*p + 145. Let i be l(-14). Find the common denominator of i + 2305/450 - -4 and 1/30.
90
Suppose f = -6*f + 70. Suppose 25*v = f*v + 1065. Find the common denominator of v/(-8) + 24/32 and -79/12.
24
Let c be (3 - -6)/((-7)/42). Let m = -46 - c. What is the least common multiple of 1 and 1 + 15/(-12) + 586/m?
73
Let i = -36 - -84. Suppose -2*m - 10*m = -i. Suppose a = 5*f - 2*a - 107, 0 = -4*f + 2*a + 86. What is the lowest common multiple of m and f?
44
Calculate the common denominator of -79/162 and ((-30)/300)/(27/129*-1).
810
Let r(u) = u**3 + 24*u**2 - 19*u + 122. Let y be r(-25). Calculate the common denominator of 63/106 and ((-4)/y*-6)/((-12)/(-9)).
742
Let y(n) = n**2 - 25*n + 114. Let b = 204 - 182. What is the smallest common multiple of y(b) and 6?
48
Suppose -258*m - 4046 = -262*m + 2*w, -m = -3*w - 1009. What is the smallest common multiple of m and 368?
4048
Let g(d) be the third derivative of d**5/30 - 11*d**3/3 + 9*d**2 - 3*d. What is the least common multiple of g(-5) and 70?
140
Calculate the common denominator of (11/(-210))/(660/(-8470)) and 73/570.
3420
Let v be -79*(5 - (-91)/(-21))/((-2)/(-3)). Let k(o) = -o**3 + 10*o**2 - 5*o + 5. Let h be k(4). Let m = v + h. Calculate the least common multiple of m and 49.
98
Suppose -1064 = -2356*k + 2328*k. Let z(f) = 4*f - 10. What is the smallest common multiple of z(6) and k?
266
Let p(j) = 14*j**2 - 40*j - 92. What is the least common multiple of p(15) and 10?
12290
Let w = 15931 + -382247/24. Suppose 5*k + 2*t + 295 = 0, -k - 29 = -t + 23. Calculate the common denominator of ((-76)/k)/(7/(-22)) and w.
168
Suppose 2*b = 4 + 48. Suppose 0 = 4*q + 3*a - 10 + 2, -q + 9 = -a. Suppose -6 = q*d - b. What is the lowest common multiple of 8 and d?
8
Let l = -2 - -4. Suppose 0 = -2*c - 3*i - 84 + 2, -3*i = 3*c + 117. What is the lowest common multiple of l and 24/(-28) - 135/c?
6
Let s be 15/(-18)*((-37107)/330 - -3). Let z = -377/4 + s. Find the common denominator of 4/(-2) - 639/(-150) and z.
550
Suppose -70055 = -66*g - 15407. Calculate the lowest common multiple of 92 and g.
828
What is the common denominator of ((-33)/24)/(20/6) and ((-110)/(-220))/(4/(-6))*53/(-33)?
880
What is the common denominator of -29/93 and 20/8370*(1506/(-24) - 1)?
558
Suppose 3*s = 3*a, 4*a + 26 - 1 = -s. What is the common denominator of 3/a*845/(-52) and (-2*2/(-4))/(-4)?
4
What is the common denominator of 6/280*(-18800)/600 and -73/190?
1330
Suppose -44493 = -5*g - 2*n, 2*g + 1238 = -5*n + 19031. Let q = g - 382640/43. What is the common denominator of 85/4 and q?
172
Let l(i) = -2*i**3 + 31*i**2 - 10*i - 7. Suppose 90 = 9*n 