1.
3
Let q(d) = 28*d - 5*d**2 - d**3 + 16*d**2 - 27 + 11*d**2 - d**3. Calculate the smallest common multiple of q(12) and 60.
420
Let y = -5107 - -5088. Let r(p) = -p**2 - 8*p - 9. Let s be r(-6). Find the common denominator of ((0 + y)*-1)/(-5) - s and -18.
5
Let g = -14/179 + -4603/7518. Calculate the common denominator of 115/342 and g.
2394
Let w = 369971 - 144288517/390. Find the common denominator of w and -119/780.
780
Let w(x) = -x**3 + 5*x**2 + 4*x - 20. Let r be w(5). Calculate the least common multiple of 19 and (-16 - -24) + 2 + 1 + r.
209
Calculate the least common multiple of 20/15 + 1720/24 + (-2)/2 and 21.
504
What is the smallest common multiple of ((-24)/5)/(-1)*(-340)/(-16) and 54?
918
Suppose -4*s + 48 = 2*d, 6*d - 10*d - 2*s = -54. Let y be (-8)/(-12) - (-5)/(-3). Let q(g) = 19*g**2 - 1. Calculate the least common multiple of q(y) and d.
90
Let n = 74845 + -7409573/99. Let z = 35/113 - 9659/13673. Find the common denominator of n and z.
1089
Let n = -217837739/22 + 9899253. Let x = n + 2462. Calculate the common denominator of x and -1/2.
22
Let j = 1280 - 782. Calculate the smallest common multiple of j and 72.
5976
Let n be (-77983)/(-11) + (-24 + 0)/(-6). Let c = 7098 - n. Find the common denominator of c and -43/26.
286
Let u(g) = 15*g**2 - 2*g - 2. Let l be u(2). Let r = 1118 - 2219/2. Calculate the common denominator of r and -1 + 3 + l/20.
10
Let w(z) be the first derivative of z**4/4 - 3*z**3 + 15*z**2/2 - 133*z + 131. Calculate the least common multiple of w(9) and 1/(-3) + 37/3.
12
Let q = -5047403/152 + 33206. What is the common denominator of -2*(-5866)/760 + (160 - 176) and q?
760
Suppose v + 5 = -4*v. Let y be ((-4)/(-10) + v)*-27. Let c = y + -1577/85. What is the common denominator of c and -3/4?
68
Let j = -5 - -29. Let u(o) = -21*o + 19. Let z be u(0). Suppose -x + j = z. Calculate the smallest common multiple of 9 and x.
45
Let p be -6*(-1 - (-55 - -3)). Let b = 572 + p. Suppose -226*s + 49 - 11 = -207*s. Calculate the lowest common multiple of s and b.
266
Let p = 190169/4 - 47544. What is the common denominator of p and -1*((19 - 2) + 2)?
4
Suppose -2*q = 4, 0*r + 3*r - 5*q = 70. What is the common denominator of 43/68 and r/(-4 + 0) - 73/(-12)?
204
Let u = -2575 + 149357/58. Calculate the common denominator of 149/726 and u.
21054
Suppose -5*l + 4*g + 112 = -3*l, -5*g = -5*l + 300. Let k(c) = -2*c**3 + 51*c**2 + 275*c - 86. What is the lowest common multiple of k(30) and l?
64
Suppose 3*c + 9 = 4*f + 62, 2*c - 41 = -3*f. Suppose 0 = c*z - 9*z - 270. What is the lowest common multiple of z and 6?
54
Let l = 89 - 17. Find the common denominator of (-1)/(-6)*121 + -2 and (-296)/(-18)*27/l.
6
Suppose -1725 = -36*d + 867. What is the lowest common multiple of 180 and d?
360
Let a(v) = -3*v**2 + 79*v + 385. Let j(y) = -7*y + 2. Calculate the smallest common multiple of j(-6) and a(-3).
484
Let h = -21 - -16. Let l be (-5)/(h/(-3)) + 100. Suppose -4*w = 53 - l. Calculate the smallest common multiple of 8 and w.
88
Let s = -154/751 - 22091/57076. Calculate the common denominator of s and 6/27 - (-211)/(-180).
380
Calculate the common denominator of (-4656)/(-72)*(-4)/(-16) and 146/180*30/24.
72
Let h be 3*(4 - 2)/(12/382). Let s = h - 1. Calculate the least common multiple of s and 8.
760
Let t = 71885461/20528 - -4635/1283. Let p = t - 3507. What is the common denominator of (-534)/8*(-4)/(-30) and p?
80
Let z(n) = 216*n - 15. Let r be z(1). Suppose r - 203 = -u. What is the least common multiple of u and 5?
10
Let d = -202 + 238. Suppose 15*b - d*b + 567 = 0. Calculate the smallest common multiple of b and 27.
27
Calculate the common denominator of 27/50 and 42/(-4)*(-30)/(-45) + (-196675)/(-27875).
11150
Let h = 3649/9312 - 14/291. Let b(l) = -21*l + 50. Let o be b(4). Calculate the common denominator of (119/o)/((-1)/(-3)) and h.
32
Suppose -3*p - 11*c = -61, 5*p - 4*c - 16 + 26 = 0. Calculate the least common multiple of 266 and p.
266
Let d be (8/(-12))/(214/45). Let h = d - -4259/2140. Calculate the common denominator of h and -101/90.
180
Calculate the smallest common multiple of (-31029)/(-12) - (-9)/216*6 and 18.
7758
What is the common denominator of 14/129 and (-4 + 14/12)/(76*10/(-160))?
2451
Suppose -1104 + 816 = -9*q. Suppose 0 = f + 2, 0*f + 76 = 2*j + 2*f. What is the smallest common multiple of q and j?
160
Let j(u) = 4*u**2 + 28*u - 12. Let r(h) = -3*h**2 - 26*h + 12. Let q(c) = 4*j(c) + 5*r(c). Calculate the smallest common multiple of q(0) and 132.
132
Let t = -6843 + 6904. What is the lowest common multiple of 19 and t?
1159
Let x = -405 + 230. Let f = 197 + x. What is the smallest common multiple of f and 38?
418
Let q = 3074 + -2924. What is the lowest common multiple of q and 9?
450
Let q be (-38 - -39)*(-1)/((-530)/(-6)). Let m = 10311/2120 - q. Find the common denominator of m and -10/9.
72
Let r(c) be the second derivative of -c**5/20 + 5*c**4/12 - c**3/6 + 7*c**2/2 + c. What is the least common multiple of r(5) and ((-1920)/(-3480))/(4/58)?
8
Let s(f) = 47*f**2 + 16*f - 4. Let x be s(4). What is the common denominator of 53/20 and x/(-72) - (-36)/12?
180
Let f = -18 + 27. Suppose 3*j - 480 = -j. Calculate the common denominator of -95/6 and f/j*225/(-6).
48
Let u = -760 - -583. Find the common denominator of -97/80 and 10/(-15)*(u/60 + 1).
80
Suppose 5*d = 9*r - 10*r + 596, 3*d + 2896 = 5*r. What is the least common multiple of r and 10?
5810
Let h(q) = 6*q**2 + q - 1. Let v(k) = k**3 - 8*k**2 + 7*k + 1. Let w = 21 - 14. Let c be v(w). Calculate the smallest common multiple of 11 and h(c).
66
Let m = -23536 - -3177439/135. What is the common denominator of m and (-51)/(-2) - (-1 - -1)?
270
Let q = 12885 - 12877. Calculate the lowest common multiple of 7930 and q.
31720
Let s = -14182/305 - 1/610. Calculate the common denominator of ((-297)/180)/((-36)/(-105)) and s.
16
Let z = -881 + 3437/4. Let b = -18 - -20. Calculate the common denominator of b + ((-119)/8 - -1) and z.
8
Let v = 42821 + -65567. Let f = v + 2115344/93. Let n = 7863/11 + -716. What is the common denominator of n and f?
1023
Suppose -148272 = -25*o + 159578. Calculate the least common multiple of 10 and o.
61570
Let d be (106 + 1)/((5/(-5))/2). Let t = -213 - d. Calculate the least common multiple of 48 and t.
48
Find the common denominator of ((-18832)/1440 - -16) + (53/(-36) - 40/(-32)) and (-1)/(-3)*189/(-20).
20
Let q be -7 - (-232)/32 - (-4030)/8. Calculate the common denominator of (-1914)/q - (-4)/12 and -91/32.
224
Let n be (-12)/20 + (-3)/(-5). Suppose 162 = 3*f - n*f. Let a = -44 + f. What is the least common multiple of a and 8?
40
Let w = -29804 + 1430645/48. Let k = 5666000/33 + -171699. What is the common denominator of k and w?
528
What is the smallest common multiple of 13 + -2 - (-2724 - -85) and 6?
7950
Let g be 0 - -2526 - (1196/(-26) + 43). Let x = 2398364 - 21607966/9. Let z = g + x. Find the common denominator of -49/10 and z.
90
Let o = -6086 - -11678. Let f be (-2)/(-14) + o/7. Let x = -11253/14 + f. Find the common denominator of x and -121/12.
84
Let s(m) = m**2 - m - 14. Let g be s(14). What is the common denominator of -33/4 and g/(-27) - (-35)/21?
36
Let d = -34 - -61. Suppose 5*n = 5*v - 55, 4*v = -2*n - 2 + 16. What is the least common multiple of 127/6 - v/36 and d?
189
Let v(m) = 2*m**3 + 14*m**2 + 3*m + 2. Let n be v(-6). Let h = -105 + n. What is the common denominator of -2 + 48/140*5 and h?
7
What is the common denominator of -41/144 and 307717/774180 - (4/(-6) + 11/12)?
7920
Let r be -23 - 8/(-4) - 4. Let z be -1 - 45/r - 1/(-5). What is the common denominator of ((-56)/(-20))/((-16)/(-7)) + z and -119/10?
40
Suppose -4*p = -3*z - 5857, 123*p - 2*z + 1478 = 124*p. Calculate the smallest common multiple of 22 and p.
16148
Let v(o) = -48*o - 4650. Calculate the smallest common multiple of v(-182) and 2043.
4086
Let t = -23311 + 512835/22. Let i be 3/18*3019329/(-33). Let q = i + 15246. Find the common denominator of q and t.
22
Let l = 29298 - 205437577/7012. Let w = l - 438247/21036. What is the common denominator of -4/9 and w?
18
Let m(v) = -v**2 + 18*v - 30. Let l(o) = 6*o**3 + 3*o**2 - 4*o. Let f be l(1). What is the lowest common multiple of 4 and m(f)?
140
Let f be 8