 smallest common multiple of 93 and a(b).
372
Let k(d) = d**3 + 7*d**2 + d + 1. Let w be k(-7). Let h be (w/(5 - -7))/((-2)/(-24)). Find the common denominator of 35/6 and h/(-12) + (-81)/4.
12
Let i(g) = g**3 - 4*g**2 - 4*g + 6. Suppose 8*u = 13*u - 550. Let n be (u/66)/(2/6). Calculate the lowest common multiple of 29 and i(n).
319
Let b = 714 - 448. Let t be 1*-1 - (-3122)/b. Let h = -1381/95 + t. Find the common denominator of 42 and h.
5
Let j = 4365 + -39344/9. Find the common denominator of j and (-64)/(-240)*(27/(-96))/((-12)/1616).
90
Suppose -11 = -5*u + k, -2*u - 19 = -7*u - k. Suppose 0*s - 5*t + 6 = s, -u*s + 5*t - 2 = 0. Calculate the common denominator of (-931)/(-630)*6*s/2 and 113/10.
30
Suppose b - 365 - 695 = -3*o, 344 = o + 5*b. Let k = -306 + 318. What is the least common multiple of o and k?
708
Let u(c) = c**2 - 13*c + 24. Let z be u(11). Suppose 6 = z*v + 8. Let k(q) = -5*q**3 - 2*q - 2. Calculate the least common multiple of 24 and k(v).
120
Suppose 36*q + 37*q = -8*q + 6804. Calculate the smallest common multiple of (94 - -1) + 1 - 0 and q.
672
What is the common denominator of (-621)/(-147)*(5 - 2299/462) and -73/22?
7546
Let l be (39/65624)/((-15)/(-249076)). Let y = l + 20/631. Find the common denominator of y and -115/6.
30
Let m be 23/((-46)/(-4))*(-1 - 42). Suppose 0 = -2*d - 0*d - 3*x + 196, -5*x = 0. Let v = m + d. Calculate the lowest common multiple of 9 and v.
36
Let l(g) = g**3 - 48*g**2 + 135*g + 24. Calculate the smallest common multiple of l(45) and 4161.
33288
Let p(f) = 9*f - 2051. Let q be p(0). Let v = -45183/22 - q. Find the common denominator of 5/22 and v.
22
Let r = 232463/394290 - 3/4381. What is the common denominator of ((-33)/(-12))/((-189)/(-420)) and r?
90
Suppose -30057 = -169*d + 1860 + 9150. What is the lowest common multiple of 1944 and d?
1944
Let c(m) = m**3 + 4*m**2 - 7*m - 5. Let b be c(-5). What is the common denominator of ((-17)/3)/(22 - 23) and (-665)/25*b/6?
6
Let l = -1 + 7. Suppose 9*y + 1357 = -1361. Let h = y + 320. What is the lowest common multiple of h and l?
18
Calculate the least common multiple of (-33)/(11979/(-493647)) + -1 + (-12)/(-11) and 170.
1360
Let q(t) = t**3 - 4*t**2 + 24*t - 109. Calculate the smallest common multiple of 160 and q(5).
1440
Calculate the common denominator of -43/581 and (-12395)/6972 + (74/40 - (-8)/(-80)).
3486
Let q = 19 - 31. Let h be (2 - (-256102)/q)/5487. Let m = 1/3658 + h. Find the common denominator of 55/4 and m.
36
Let y be (-4 - 11/(-3))*-153. Suppose -2*q - 50 = -5*f + 3*f, 5*q = -3*f + y. Calculate the lowest common multiple of (12 + 352/11)/2 and f.
22
Suppose 0 = 5*c + 2*d - 1, 8 = -8*c + 6*c - 5*d. Calculate the common denominator of -2 - c - 8944/2848 - -6 and -95/12.
1068
Suppose -166*n = -165*n - 168. What is the least common multiple of n and 112?
336
Let n = 41411/4424 + 8/553. Calculate the common denominator of -35/824 and n.
824
What is the common denominator of (-86)/(-10)*(-35)/(-42) and 597/796*(114/8)/(-3)?
48
Let t(j) be the third derivative of -j**4/3 - 8*j**3 - 8*j**2 + 2*j. What is the common denominator of t(-9) and 58/9?
9
Let z be ((-20)/6)/((-24)/(-72)) + 1. Let h = 65 - 38. What is the lowest common multiple of h and (-10 - z - -18) + -5?
108
Let a(m) = m**2 - 14*m - 8. Suppose -c + 5*k = -0*c - 30, 0 = -3*c + 3*k + 54. Let n be a(c). What is the common denominator of n/(308/(-152)) + 0 and -17/15?
165
Suppose -3679980 = 20*z + 10*z. Let b = z + 19871761/162. Find the common denominator of -7/162 and b.
162
Suppose x - 19 = -3*y - 4*x, y = 4*x - 5. Suppose 9*m + y = 8*m. What is the common denominator of 79/(-44)*-2 + 1*m and -81/22?
22
Let m(w) = 2500*w - 238. Calculate the least common multiple of 27 and m(1).
20358
What is the common denominator of -59/112 and 19173/(-12320) + (1 - -1)?
1120
Let a = 93 + -89. Suppose a*x - x = -3*f + 354, -4*f - x = -457. Let z = f + -86. Calculate the lowest common multiple of 9 and z.
27
Suppose 7*p = 4*p - 4*f + 5, 0 = -5*p - 2*f + 27. Calculate the common denominator of -5/11 and -7 + p + -2 + (-1515)/(-580).
1276
Find the common denominator of (-962)/48 + 10 + 1296/(-128) and -127/4640.
13920
Let t(y) = y - 385 + 130 + 129 + 128. Calculate the least common multiple of t(14) and 16.
16
Let l = 7934063 + -43938841033/5538. Find the common denominator of 17/2 and l.
5538
Suppose 0 = -4*l + 9 + 3, -4*l = -5*y + 68. What is the least common multiple of 68 and y?
272
Let b be 1/(7 - (-17130)/(-2448)). Calculate the common denominator of (63/(-105))/(-2 - b/(-155)) and 51/4.
196
Let x = -1132222389/2030 + 557745. What is the common denominator of 41/2900 and x?
20300
Suppose -10*a + 279 - 9 = 0. Calculate the common denominator of 149/126 and 0/a + 46/(-9).
126
Let p = -759/8 - -4929/56. Calculate the common denominator of p and (-678)/(-8)*((-10)/315 + 0).
42
Let t = 55/12 - -11/12. Let x be 2 - (-4 + (-367)/(-2)). Let i = -194 - x. Calculate the common denominator of i and t.
2
What is the least common multiple of 702 and 2599/46 + (-15)/10*3?
1404
Let c be (-13635027)/(-2430)*4/21. Let l = -13880/11 + 128338/55. Let i = l - c. Calculate the common denominator of 37/30 and i.
270
Calculate the common denominator of -121/72 and 46*4/(-8)*3/48.
144
Let d = -88303273/214500 + -30586/1625. Let f = d - -1727/4. Find the common denominator of f and -85/8.
264
Let z(t) = 2*t**3 + 51*t**2 + 28*t + 83. What is the least common multiple of z(-25) and 484?
968
Let y(i) = -556*i - 3856. What is the lowest common multiple of 132 and y(-7)?
396
Let q be ((-24)/15)/(-4) - 634723/9030. Let i = -1041/14 - q. Calculate the common denominator of -11/20 and i.
60
Let r(z) = 25*z**2 - 359*z - 4244. Calculate the least common multiple of 2184 and r(-11).
10920
Let s = 556531/36 + -15456. Let r = 20516 - 430847/21. Calculate the common denominator of s and r.
252
What is the least common multiple of 68 and (-3)/4 + 1060/(-80) + 28?
476
Let i(f) = f**3 + f**2 - 16*f + 35. What is the lowest common multiple of i(3) and ((-24)/(-10))/((-12)/(-40))?
184
Find the common denominator of 67/1568 and 1 + -13 + (-424248)/(-33792).
6272
Calculate the common denominator of (-10)/8 - 11502/6248 and 53/700.
7700
Let r(g) = g**3 + 11*g**2 - g - 29. Let p be r(-8). Suppose -49*l + 52*l = p. Calculate the least common multiple of l and 33.
627
Suppose -6*r = -2*r + 20. Let c(g) = -14*g - 48. Calculate the lowest common multiple of 8 and c(r).
88
Suppose -24 + 68 = 2*k. Let w = 45509/8 + -5666. Let r = w - k. What is the common denominator of r and 59/4?
8
Calculate the common denominator of ((-500)/384)/((-63)/(-84)) and (7/(-252))/(2/148) + -4.
72
Let o = 17 + -94/5. What is the common denominator of 67/20 and o?
20
Suppose 52*q = q - 63 + 28062. Calculate the least common multiple of 122 and q.
1098
Suppose 0 = -h - 2*h + 12. What is the smallest common multiple of -3*((-1270)/330 + h/22) and 4?
44
Let z be 35/(0 - 2/(-20)). Suppose -z - 55 = -5*b. What is the least common multiple of ((-8)/6)/((-6)/b) and 4?
36
Suppose -7*h + 7354 = 5*t - 4*h, 0 = -t + 2*h + 1463. Suppose t = 16*z - 3*z. Let o = -80 + z. Calculate the lowest common multiple of o and 3.
33
Let g(o) = -8*o - 5. Let i(d) = 3*d - 16. Let c be i(5). Let n be g(c). What is the least common multiple of 10 and n + 3/(-6)*-8?
70
Let h = 110 + -86. Suppose -2*x + h = 2*x. Calculate the lowest common multiple of 10 and x.
30
Find the common denominator of (-875)/40 + 44/4 and 79/3010.
12040
Let l = 20 - 13. Suppose -23*a + 106 + 469 = 0. Suppose a*h - 200 = 550. Calculate the smallest common multiple of h and l.
210
Let y(h) = -338*h**2 - 12*h - 25. Let s be y(-5). Let a be 1 - (-3)/(s/(-1356)). Let o = -13/85 - a. What is the common denominator of -23/9 and o?
99
Suppose q - x = 64, 2*x + 254 = 4*q - 0*x. Suppose -u + 42 = 2*v, 3*v + q = -2*u + 4*u. Calculate the lowest common multiple of 12 and u.
36
Calculate the lowest common multiple of 16*1135/320 + 6/(-8) and 1184.
8288
Calculate the common denominator of -1 - (1/(-125))/((-60)/1150) and (-1274)/24*24/(-168).
300
Let s(t) be the first derivative of t**2/2 - t - 4. Let k be s(4). Suppose 4*y = k*b + 32, -b - 60 = -4*y - 5*b. What is the least common multiple of 7 and y?
77
Let j = 78 