ate the common denominator of b and -157/2340.
2340
Let g(x) = -x**3 + 23*x**2 - 41*x - 30. Let i be g(21). Find the common denominator of (-4)/12 + 20/i and 35/8.
72
Suppose -4*s - 223 = 2*q + 373, -3*s + 4*q - 425 = 0. Let f = s - -162. Calculate the lowest common multiple of f and 45.
45
Let o = -113 - 54. Let k = -155 - o. What is the smallest common multiple of 3 and k?
12
Suppose 920 = -4*p + 3*p. Let k = 18389/20 + p. Calculate the common denominator of -3/70 and k.
140
Calculate the common denominator of 31/392 and 10/(-6) + (-50)/(-20580)*889.
1176
Let l = -17537 - -1420432/81. Calculate the common denominator of 19/723 and l.
19521
Let s be ((-1)/(-1))/(2/(-50)). Let m = s - -217/8. Find the common denominator of m and (459/144)/(-9*(-4)/120).
8
Let d = -235 + 236. What is the common denominator of ((-5)/(-120))/(d/(-59)) and -25/81?
648
Let g = -46099 + 7606373/165. Let b = -3/1787 + 61253/294855. What is the common denominator of g and b?
165
Let t = 2280507/2 + -55169995/48. Let a = t + 9121. What is the common denominator of a and -53/30?
240
Let g(v) = 3*v**2 + 4*v - 5. Let o be g(1). Let b be 15710/(-13734) + o/(-1). Let j = b - -1/981. Calculate the common denominator of 23 and j.
7
Let c be ((-16237)/30)/(250/3150). Let p = c + 6819. Calculate the common denominator of 85/16 and p.
400
Suppose -12*n + 40 = -4*n. Suppose -n*g + 5 = -3*y, -y + 21 = 4*g - 0*y. Calculate the common denominator of 7/(g*-3*2/(-4)) and -33/7.
42
Let x(s) = -s**2 - 18*s + 91. Suppose 0 = m - k - 4 + 30, 0 = -k + 4. What is the smallest common multiple of 103 and x(m)?
309
Let b(p) = 3*p**3 - 149*p**2 + 100*p + 419. Calculate the smallest common multiple of b(49) and 282.
3102
Let j be 39 - 34 - (-16997)/(-190). Let g = j - -1390/19. What is the common denominator of 23/66 and g?
330
Let b be (-910)/(-8) - (-3)/6. Let h = b + -9649/84. Find the common denominator of h and (-10)/(-6)*(-51)/2.
42
Let q be (-2 - (-21)/7)*(0 + 5). Suppose 0 = q*x - 157 + 152. Calculate the lowest common multiple of 23/(-23) - -5*x and 2.
4
Find the common denominator of 39/589 and 680/357*54/465.
4123
Suppose -4*l = -7*f + 6*f - 34, -14 = l - 4*f. Calculate the least common multiple of 2610 and l.
2610
Let r(k) = 44*k - 429. Let d be r(10). Let b be 1/(1 - 16/14). Let c = b + d. Calculate the lowest common multiple of 7 and c.
28
Let c be 4 - (1 - (-6132)/(-3896)*-2). Let q = c - -35128/26785. What is the common denominator of q and -41/50?
550
Let c = -119/1094 - -71776/300303. Calculate the common denominator of c and -40/63.
7686
Let c(j) = j**3 + 17*j**2 - 19*j + 72. Suppose -4*l = -4*v + 88, -2*l = -3*v + 2*v + 40. What is the least common multiple of c(l) and 63?
630
Let t = 442 - 351. Find the common denominator of (t/(-126))/((-44)/16) and 167/126.
1386
Let v be (1 - 4/2) + 4. Suppose -5*q - 4 = v*x, -3*q + x + 0 = -6. What is the common denominator of -27/5 and (-36)/(-27)*(q + -13)?
5
Suppose 4319 = 4*u - 3*q - 2*q, 25 = 5*q. Let b = u + -15153/14. Find the common denominator of ((-4)/(-6))/(132/913) and b.
126
Let m be (3/8)/((-27)/28890). Let x = 389 + m. What is the common denominator of x and (2/16)/((-21)/(-228))?
28
Let h = -104888/375 - -488/375. Let v = 19013/70 + h. Calculate the common denominator of v and -85/78.
546
What is the least common multiple of 2 and 378/324 + (-3970)/(-12)?
332
Let u = 9954 - 278627/28. Find the common denominator of -87/1456 and u.
1456
Suppose 3*y - 721 = -16*y + 1293. What is the smallest common multiple of 12 and y?
636
Suppose -4*o - 81 = -201. Suppose 118*p + 61 = 150*p - 67. What is the smallest common multiple of o and p?
60
Let m = 491/39000 + -115/312. What is the common denominator of m and -23/7950?
39750
Let c(p) = 29*p + 355. Calculate the least common multiple of 5 and c(-11).
180
Calculate the least common multiple of 136/(-12)*513/(-38) and 30.
1530
Let g = -6/10357 - 320977/155355. Let r be (158/(-66))/(1/(-30)). Let u = 22039/330 - r. Find the common denominator of u and g.
30
Let s = -6/35 - -1/14. Suppose -4*n = -8*n - 4*h + 17072, -n + h = -4268. Let j = 34191/8 - n. What is the common denominator of s and j?
40
Suppose 6120 = 1173*b - 1161*b. What is the smallest common multiple of 15 and b?
510
Let f = -56 + 74. Suppose -4*v + 5*l = -108, -8*l = -4*v - 6*l + 96. Let z = 42 - v. What is the smallest common multiple of f and z?
180
Let u = -111 - -114. Suppose 0 = -u*h + 2*g - 3, 0*h - 3*h = 3*g - 12. Calculate the least common multiple of 6 and (h - 1 - -7) + 28 + -27.
24
Let z = 73/3 - -1. Let j = 8906/15 - 598. Find the common denominator of z and j.
15
Let g(w) = 43*w + 7. Let x be g(5). Suppose -3*f - 159 = -x. Calculate the smallest common multiple of 33 and f.
231
Suppose 8*z - 208 = 4*z. Let j = z + -60. Calculate the common denominator of ((-680)/45)/j*(-1 + 0) and 71/15.
45
Find the common denominator of 73/30 and 5 + (-2)/1 - 2*4/(-48).
30
Let m(d) = 2*d - 10. Suppose -66*y = -59*y - 56. Suppose -4*s = -79 - 125. What is the least common multiple of s and m(y)?
102
Let h(f) = 4*f**2 - 63*f + 370. Calculate the least common multiple of h(6) and 1224.
1224
Suppose -2143 = -5*i - 8*z, 2*i = 41*z - 39*z + 878. What is the least common multiple of 300 and i?
8700
Let g = 1/3143 - -254543/125720. Let r = 178/5 + -389/10. What is the common denominator of g and r?
40
Let f = -631 - -788. Let c = f - -75. Calculate the smallest common multiple of c and 2.
232
Calculate the common denominator of (-4134)/170 + 12 + 13 - 1/1 and -30/1751.
8755
Let k(w) = -w**2 - 41*w + 60. Let l be k(-38). Let p = -132 + l. Calculate the least common multiple of p and 21.
42
Let r(x) = x**2 + 19*x + 73. Let z be r(-6). What is the smallest common multiple of 254 and 1/(-2) - z*(-164)/(-40)?
2540
Let a(i) = i + 6. Let y be -2*1/((-4)/1894). Let z = 957 - y. What is the least common multiple of a(0) and z?
30
Let p be 2/(10/15) + -2 + -1. Suppose -2*f = -3*k - 189, p = 4*f - 9*f + 3*k + 495. Let r = -139 + f. Find the common denominator of 17/21 and r.
21
Calculate the common denominator of (-246)/780*(-1 - (-230)/180) and -23/1170.
2340
Find the common denominator of (-2)/10 - ((-4)/(-5) - (-6116)/528) and 145/564.
564
Let y = -17545/1501 + 218/19. Calculate the common denominator of y and -75/1738.
1738
Let p be ((-67332)/20)/((-2)/10). Suppose -r = 8*i - 4*i + p, -12646 = 3*i + 5*r. Let d = i - -42153/10. Calculate the common denominator of 17/5 and d.
10
Suppose 5*y = 2*o - 21 + 58, 0 = o + 1. Let x(v) = -v**3 + 5*v**2 + 15*v + 7. Let u = 8 - 4. Calculate the least common multiple of u and x(y).
28
Suppose -4*j - 15 = i, 3*j + 5*i = 3 - 10. What is the common denominator of 1/9 and ((-17)/j)/((-830)/(-80) + -7)?
27
Let a(b) = -94*b + 86. What is the smallest common multiple of a(-6) and 260?
1300
Let z(o) = o**3 + 7*o**2 - 17*o + 10. Let r be z(-9). Let i = -26443/14 - -1885. Find the common denominator of i and (r/4 - 0) + 15/18.
84
Let d(y) = y**2 + 11*y + 28. Let g be d(-6). Calculate the least common multiple of g*4/20*25/(-2) and 91.
455
Let j be 2*(-2)/12 + (-428532)/(-18). Let x = j - 714139/30. Calculate the common denominator of -11/18 and x.
90
Suppose 413 + 343 = 14*v. Let u = 81 + v. Calculate the smallest common multiple of u and 45.
135
Calculate the least common multiple of 111/30 - 132/(-440) and 2406.
4812
Calculate the lowest common multiple of 150 and 1315 - (-9 + (-39)/(-9) + (-1)/3).
6600
Let o = 10111 - 10103. Calculate the smallest common multiple of o and 192.
192
Find the common denominator of ((-1)/3 - 202/6)*30/45 and 58/19 + -2 - 0.
57
Let k = 108275/107276 - -5/16504. Find the common denominator of k and 53/18.
936
Let f = 164216 + -164207. Calculate the least common multiple of f and 1 + 2 - (1 + -1).
9
Let i = -26188 + 26509. Calculate the least common multiple of 321 and i.
321
Let p = 152775 + -91359373/598. What is the common denominator of 83/460 and p?
5980
Suppose -2*u + 9 = -1, -4*h - 2*u = -70. Calculate the smallest common multiple of (378/30 - -8) + (-3)/5 and h.
60
Let f(b) = 16*b + 15. Let q be f(17). Let p = -263 + q. Suppose -3*m + 53 = -5*w - 30, 2*m - 58 = 4*w. Calculate the smallest common multiple of m and p.
168
Let z(a) = -3*a + 2*a + 2*a - 3*a. Let f = 1705 - 16