231
Suppose 2*a - 26 = 0, s + 1451 - 1389 = 5*a. Suppose 2*q - 1450 = -3*q. What is the smallest common multiple of q and s?
870
Let b(u) = -772*u - 1904. What is the lowest common multiple of 16 and b(-5)?
7824
Let q(n) = 2033*n**3 + 17 - 1017*n**3 - 1018*n**3 - 4*n**2. Calculate the least common multiple of 77 and q(-3).
385
Let m be (-3)/18 + -48098*12/(-90). Let r = m + -6425. Find the common denominator of r and 17/73.
730
What is the common denominator of (-6 - -9*60824/91680)*(-2)/(-6) and 69/764?
3820
Let a = -3504 - -21149/6. Suppose -8*d + 26 = 10. What is the common denominator of (d/(-5))/(5/((-14600)/(-288))) and a?
18
Let i = 16584895/246 + -899738/451. Let y = i - 65421. What is the common denominator of 83/6 and y?
66
Suppose -63*v + 55*v = -128. Suppose 3*c + 7 = 31. Calculate the smallest common multiple of v and c.
16
Suppose k = -212*r + 207*r + 695, -k + 703 = -3*r. Calculate the lowest common multiple of 420 and k.
2100
Let h = -1253 + 37567/30. Let c be (-2)/(-1) + (-45 + 5)/2. Find the common denominator of (182/(-96) + -1)/(9/c) and h.
120
Calculate the smallest common multiple of 1038 and ((-71622)/(-1035))/(2/95).
19722
Let s be 257092/16 + (3 - 13/4). Suppose 12962 + s = -2*j. Let h = 290231/20 + j. Find the common denominator of -71/40 and h.
40
Suppose -2 = -3*m + 13. Suppose 19*f = 21*f + 2*l - 30, 4*f + 2*l = 52. What is the smallest common multiple of f and m?
55
Let d(c) = -262*c - 4528. Calculate the lowest common multiple of d(-24) and 352.
1760
Let v(u) = 6*u**2 - 2*u - 19. Calculate the lowest common multiple of v(-2) and 1142.
10278
Suppose -3*b + 4*b + 1 = 0. What is the lowest common multiple of -8*((-1)/b)/(-1) and 236/6 + (328/(-1886))/((-6)/23)?
40
Let x = -2621/750 + -2/375. What is the common denominator of (-2 - (-1)/(-4)*-4) + 777/(-210) and x?
10
Let w(p) be the third derivative of 5/24*p**4 - 19/6*p**3 + 23*p**2 + 0*p + 0. What is the smallest common multiple of 22 and w(15)?
616
Let n(w) = -w**3 + 6*w**2 - 7*w + 6. Let x be n(5). Let j = -2 - x. Calculate the least common multiple of j and (-7659)/(-828) + 126/72 + (-1 - 1).
18
Let j = -233 - -418. Find the common denominator of 31/65 and 16/20 + j/(-225).
585
Let o(a) = 36*a + 1082. Calculate the lowest common multiple of 516 and o(-30).
516
Let g = -12479 + 16756. Calculate the least common multiple of 2303 and g.
29939
Suppose 2 = k, 5*q - 2*k = -5*k - 39. Calculate the common denominator of 148/(-9) - -5 - (-78 - -74) and 8/(-6)*q/(-21).
63
Let s(l) be the second derivative of -l**3/6 - 50*l**2 + 22*l. Let t be s(0). Calculate the common denominator of -1/3 and (t/28)/(2/(-4)).
21
Suppose 2 = 10*z + 132. Calculate the common denominator of -39/46 and (z + 156/16)*(-16)/(-18).
414
Let p = 1953/340 + 26/85. Calculate the common denominator of p and ((-2)/(-8))/(266/108).
2660
Suppose -5*w - 5*z - 55 - 265 = 0, -4*w - 274 = -5*z. Find the common denominator of 56/27 and ((-402)/w - 6) + 1.
297
Suppose -4*w = 2*d - 868, -d + 4*w + 438 = 5*w. Let p = -436 + d. What is the smallest common multiple of p and 25?
150
Let d = -14204 + 298225/21. Let u be (2 + -1)/((-2)/(-8)). Find the common denominator of d and -22*(1 - u/(-48)).
42
Suppose 0 = 67*f + 142 - 2286. Calculate the lowest common multiple of f and 888.
3552
Calculate the common denominator of 146/1752*(-210)/(-116) and -85/4.
232
Let i(t) = t**3 + 14*t**2 - 14*t + 18. Let u be i(-15). Suppose -2*f + 3*f + u = 0. What is the common denominator of 83/8 and 2/((5 + f)*-4)?
8
Let n = -3964665/47 + 84351. Let j = 5597/1316 + n. Find the common denominator of j and 59/14.
28
Suppose -4 = 3*f - 64. Let i = f - 24. Let r(s) = 2*s**2 + 4*s - 1. Calculate the lowest common multiple of r(i) and 33.
165
Let y = -459 - -27679/60. What is the common denominator of y and 103/918?
9180
Let i(z) = -44*z - 5. Let u(s) = -66*s - 8. Let p(w) = -7*i(w) + 5*u(w). Suppose -13*h + 20 = -18*h. Calculate the smallest common multiple of 5 and p(h).
415
Let b(a) = -a - 33. Let c be b(-37). Let n(v) = 43*v**2 - 5*v - 5. Calculate the least common multiple of 3 and n(c).
663
What is the common denominator of 7/(-49) - (-6)/(-1)*(-260)/4480 and 41/504?
1008
Let a(l) = 10172*l - 4. Let w be a(2). Suppose -4*t = t - w. Let c = 97565/24 - t. What is the common denominator of -76/3 and c?
24
Suppose 72*g = -1974 + 4514 + 4372. Calculate the smallest common multiple of 576 and g.
576
Let k = 1019 + 186. Find the common denominator of (k/(-70) + -7)/39 and -61/14.
182
Let f(c) = 24*c**2 - 1. Let l be f(-2). Let o = 817 + -805. Calculate the least common multiple of o and l/4 - 6/(-24).
24
Let k be 15*(-3)/(30/(-4)). Suppose 5*s + 9 + k = 0, -5*h + 22 = -4*s. Let l = 557081 + -557077. What is the smallest common multiple of l and h?
4
Let x(o) = -166*o + 436. Let q be x(52). Let f = -204874/25 - q. Find the common denominator of f and -31/180.
900
Let g = -12650 + 366712/29. Let a = g - -2107/522. Calculate the common denominator of a and 63/26.
234
Calculate the lowest common multiple of 40 and (-75)/60 - (-405)/4.
200
Let a = -32095469883/5000 + 6419094. Find the common denominator of -29/16 and a.
10000
Let i = -523867/56 - -9354. Find the common denominator of 11 + ((-18009)/(-48))/(-29) and i.
112
Let q = 20 + 88. Suppose 0 = -c - 4, 3*j + 58*c - 54*c - 281 = 0. What is the least common multiple of j and q?
1188
What is the common denominator of ((-5)/(-3))/(14/(-24)) and (-52 - (-683205)/13140)/((-2)/42)?
2044
Let a(t) = -17*t - 13. Let b(k) = 8*k + 7. Let l(c) = -3*a(c) - 7*b(c). Let z be l(2). Calculate the least common multiple of -5*(2 + 2)/z and 5.
5
What is the common denominator of (1/(-4)*4)/(1814/(-202) - -9) and -37/1262?
1262
Let r(l) = 17*l**2 + 5*l - 4. Let z be r(1). Let n(u) = u**2 - 17*u + 10. Calculate the least common multiple of n(z) and 7.
28
Suppose 243*f = 3*c + 244*f - 3943, 0 = 5*c + 3*f - 6565. Calculate the smallest common multiple of c and 94.
1316
Suppose -5*p + 2*h - 3546026 = 0, -14 = -5*h + 1. Let z be ((-6)/(-81))/(-1 - 709200/p). Let v = -13136 - z. Find the common denominator of -62/33 and v.
297
Suppose 3 = -4*g - 17. Let a(o) = -o**2 - 6*o + 9. What is the least common multiple of 196 and a(g)?
196
Suppose -j - 25 = -5*x, -3*x + 15 = 2*j - 6*j. Calculate the lowest common multiple of 66 and x.
330
Suppose 1135 = 154*r - 149*r + b, 3*r - 694 = 2*b. Calculate the smallest common multiple of r and 96.
1824
Suppose -3*f - u = 6, 0*f = 3*f + 5*u + 18. Calculate the smallest common multiple of (-3 - f) + 5 + 7 and 10.
10
Let m(d) = -d**2 - 7*d + 19. Suppose -5*r = 3*c + 14, 10 + 6 = -c + 4*r. Let s = -60 - -109. What is the smallest common multiple of s and m(c)?
539
Let q = 65 + -35. Let r = -87 + 97. Calculate the least common multiple of 16/r*(387/18 + 1) and q.
180
Let m be -1 + 2 - 4/2. Let p = -72850 - -72860. Calculate the least common multiple of p and -6*34/(-4) + m.
50
Let x(b) = -3*b + 60. Let k be x(20). Suppose k = 6*d - 150 - 6. Calculate the smallest common multiple of (8/6)/((-8)/(-108)) and d.
234
What is the smallest common multiple of 65 and (-5 + (-437)/(-207))/((-2)/18)?
130
Let s = -44 - -49. What is the least common multiple of (6 - (16 + -5)) + 9*s and 40?
40
Suppose -9334 = -31*i + 17946. Calculate the common denominator of ((-6)/(-15))/(i/(-3124)) and (2/8)/(1/61).
100
Let b = -6212671/30823650 - -4/237105. Find the common denominator of 161/240 and b.
15600
Let l(x) = 2*x**2 + 69*x + 17. Let a be l(-32). Let y = a - -243. What is the least common multiple of 16 and y?
400
Calculate the common denominator of 103/1170 and 9/((-67392)/(-51772)) + (-7 - 0).
9360
Let c = -219 + 223. Let d(t) = -t**3 + 9*t**2 - 18*t - 6. What is the smallest common multiple of d(c) and (-8)/6*(-9)/3?
4
Let o = -21/44 + 949/1804. Let f = 4645/246 - o. Calculate the common denominator of f and (27/42)/3 - (37 - 41).
42
Suppose -6*y + 64 = -584. Let a = 80 - y. Let c = a + 133/5. Find the common denominator of c and 15/4.
20
Let g = 428866355/44 + -9775823. Let o = -28862 - g. Find the common denominator of o and (8/(-12))/((-32)/270).
88
Let d be (28/12 - -1)*213. Suppose 9*z + 125 - d = 0. Calculate the least common multiple of 8 and z.
520
What is the common denominator of -54/737