 Calculate the least common multiple of d and 25.
225
Let x(p) = -p**3 - p**2 + 7*p + 2. Let n be x(-3). Calculate the smallest common multiple of n*(-58)/4 - 2/4 and 20.
140
Suppose -8*f + 10 = -6. Suppose -f*h - 3*p + 3 = -h, -32 = -4*h - 2*p. What is the least common multiple of 14 and h?
126
Let q be (146 - -1)/(45/480). What is the common denominator of 2/7 + 7882/q and -85/14?
112
Suppose 4*t + 0*c = c + 20, 2*t + 4 = 4*c. Suppose -7 - 25 = -8*l. Calculate the least common multiple of t and l.
12
Let i(t) = 2*t + 1 + 3*t - 2*t + 0. Suppose 0 = 5*v - 49 + 14. Calculate the least common multiple of i(v) and 8.
88
Let g = 35 - 31. What is the least common multiple of 8 and g/(-14) - 46/(-14)?
24
Let l = 63119/10 + -6322. Let w = -68113/17262 + 4/2877. Calculate the common denominator of l and w.
90
Let g be (3 - 2/2) + -12. What is the smallest common multiple of (-6 - -2)/(4/g) and (-45)/25*50/(-15)?
30
Let h be (-3*(-2)/15)/(2/70). Find the common denominator of (0 + h)*28/384 and 35/6.
48
Let d = -3793 + 7699. Let b = d - 2674. What is the common denominator of 18/11 and 8/14*b/33?
33
Suppose 277*m = 293*m - 1888. Suppose 5*z - 6 - 9 = 0, 2*z - 36 = -5*g. Calculate the smallest common multiple of g and m.
354
Let x = -72567/4 - -123146223/6788. Let i = x - 56121/33940. Calculate the common denominator of i and 53/16.
80
Let w = 11059/12 + -921. Find the common denominator of -101/36 and w.
36
What is the smallest common multiple of ((-4)/2)/(-16 - -15) and 160?
160
Suppose -27 = -2*y - b, 2*y = -0*y + b + 29. What is the smallest common multiple of 2/5 - (-340)/25 and y?
14
Suppose 0 = 6*o - 142 + 94. Calculate the smallest common multiple of 17 and o.
136
Suppose -g - 3*b = -30, -5*g + g - 2*b = -110. Suppose -g*o = -29*o + 76. What is the lowest common multiple of 20 and o?
380
Let z(k) = -k**2 + k + 10. Suppose 38 = 3*s + 2*x, 2*s + 2 = s + 3*x. Let a = -10 + s. Calculate the smallest common multiple of z(a) and 10.
10
Let i(a) = a**2 + 3*a - 3. Suppose q - 8 = 3*q. Suppose -5*m - 14 = v, 3*m - 1 + 10 = 0. Calculate the least common multiple of i(q) and v.
1
Let f = 251 + -95. What is the common denominator of 123*(f/80 + -2) and 1 - (95/(-12) - 2)?
60
Let s = 57 + -121/2. Let a = 40 + -524. Calculate the common denominator of -3 + a/(-32) + -3 and s.
8
Let u(t) = 1 + 9*t**2 - 12*t - 5*t - 10*t**2. What is the least common multiple of u(-17) and 17?
17
Suppose -2 = -5*t + 13, 4*s - 5*t - 29 = 0. Calculate the smallest common multiple of s and 7.
77
Let u = -315 + 357. What is the smallest common multiple of u and 3?
42
Let b = -345882697/143531624 - 2/227107. Let i = 17/79 - b. Find the common denominator of 2*19*(-2)/8 and i.
8
Suppose 121 = 4*r - o, -5*r + 5*o + 99 + 56 = 0. Calculate the lowest common multiple of (-30)/(1 - -1)*(-2)/3 and r.
30
Suppose 5*o - 3*o - 260 = 0. Suppose -2*t + 54 = 2*g, 5*t + 3*g - o = -g. Let x(w) = 3*w**2 - 2*w - 15. What is the lowest common multiple of t and x(-3)?
198
Let y = 731 + -727. Calculate the lowest common multiple of 18 and y.
36
Let u(p) = p**3 + 2*p - 4. Let z be u(0). Let i(s) = -2*s + 1. Let c be i(1). Calculate the smallest common multiple of z/(c*6/27) and 8.
72
Let z = 146 - 125. What is the least common multiple of z and 69?
483
Let c = -49698 - -894017/18. Let l = -64/9 + c. Calculate the common denominator of l and -3/2.
2
Suppose 2*r = -5*x + 23, -r - 2*x = -9 - 5. Let q(z) = -11*z - 9. What is the least common multiple of r and q(-3)?
24
Suppose 4*o - 165 = -7*o. Suppose -10*k = -o*k + 40. Calculate the smallest common multiple of 6 - 0/(-3 - -1) and k.
24
Let r be (-2)/(-12) + (-17)/(-6). Let l(m) = -2*m**2 + 4*m**3 + 7*m - 6*m + m**r. Calculate the smallest common multiple of l(1) and 1.
4
Let z = 24182914777/1147194 - 254/191199. Let t = 21072 - z. Calculate the common denominator of 59/9 and t.
18
Suppose 5*z - 22 = 2*z - j, 3*j + 14 = z. Suppose z*k = 6*k + 48. What is the lowest common multiple of k/28*(-1 + 8) and 3?
6
Calculate the common denominator of (44/(-1224))/(-11)*(-628)/8 and 49/18.
612
Find the common denominator of (0 - (-95)/(-12))/(-1) and ((-2254)/138)/((-8)/3) - -6.
24
Let m(w) = w + 23. Let h be m(-21). Calculate the common denominator of -49/4 and 1/h + (-693)/(-72).
8
Suppose 388 + 2732 = 26*r. Calculate the smallest common multiple of r and 18.
360
Let s = 29198/3 - 8264. Suppose -1381 = -o - 5*a + 84, 4*o = -4*a + 5940. Let k = s - o. What is the common denominator of k and -95/6?
6
Let n = 25087051 + -3261294657/130. Let b = 848/5 - n. Find the common denominator of -71/6 and b.
78
Let x(s) = -s**2 - 19*s. Calculate the least common multiple of (4/(-14))/(3/(-84)) and x(-18).
72
Let g(i) = -5*i + 60. Let v be g(14). What is the smallest common multiple of (4 + -3)/(2/12) and (38 + -40)/(1/v)?
60
Suppose -3*w - 2*b + 121 = 0, 204 = -0*w + 5*w + b. Let f = w - 7. What is the common denominator of (-4)/f - (-8675)/(-2125) and -68/3?
15
Find the common denominator of 103/960 and ((-756)/16)/(-21)*(-6)/(-2).
960
Let b = 8206 + -3277. Let j = -59107/12 + b. What is the common denominator of 56/9 and j?
36
What is the common denominator of -76/3 and 201/(-72) + (-7)/((-28)/(-6))?
24
What is the common denominator of ((-134)/8 - (-2)/8)/2 and 9/44?
44
Let s be 1 + (-9)/3 + 7. Suppose 4*u - s = 3. Suppose -17*v = -12*v - 20. What is the smallest common multiple of u and v?
4
Let i be 10/25 + 5893486/(-600360). Let p = i - 2/25015. What is the common denominator of p and -83/24?
24
Suppose 79 = 2*u - 2*j - 157, -4*u + 478 = -j. Calculate the smallest common multiple of u and 312.
1560
Let z(c) = 4*c**2 - 24*c. Let r be z(8). Let m = r - 53. Calculate the least common multiple of 26 and m.
286
Let i be 1020/(-24)*4/(-5). Let d = 42 - i. What is the least common multiple of 19 and d?
152
Let u(w) = -38*w + 557. What is the least common multiple of 21 and u(13)?
63
Suppose 5*m + z - 160 = 0, 3*m + 4*z = 5*m - 86. Let l = 21 - m. Let o = -10 - l. What is the smallest common multiple of 2 and o?
2
Let z = -4/41 + 77/369. What is the common denominator of -21 + (3/(-2))/3 and z?
18
Let r(z) = z**2 - 4*z + 3. Let q be r(3). Suppose p = -q*p - 9. Calculate the smallest common multiple of (2 + 12/p)*12 and 2.
8
Let c = -327/2 + 1791/11. Calculate the common denominator of -6 + ((-376)/(-40) - -3) and c.
110
Let k(u) be the first derivative of u**3/3 - u**2/2 - 10*u + 1. Find the common denominator of 158/40 - (-7)/(-28) and k(0).
10
Suppose -5*u + z + 2*z = -18, 5*u + 5*z = 10. What is the common denominator of u/3 - (-78)/(-40) and 41/20?
20
Suppose -231 = -16*t + 57. What is the least common multiple of 10 and t?
90
Let j be 30/(-4) - (-8)/(-16). Let m be 428810/280 + 6/j. Let r = 1524 - m. What is the common denominator of r and 37/3?
21
Suppose 8 = -i + 72. What is the smallest common multiple of 14 and i?
448
What is the lowest common multiple of (-34)/102 + ((-498)/(-9) - 1) and 54?
54
Let t = 2588/9 - 36853/126. Let p(q) = q**3 + q**2 - 4*q - 5. Let f be p(-2). Find the common denominator of t and (f/(-25))/(20/1975)*1.
140
Let c = 63 + -19. Suppose 0 = 3*z - 5*z + c. What is the smallest common multiple of 6 and z?
66
Suppose -4*p - 5*o + 1552 = -0*p, o + 1552 = 4*p. Calculate the common denominator of 4/(224/p) - 3 and 63/16.
112
Let u be 16/(-56) - (-30)/7. Suppose 0*o - u = -o. What is the smallest common multiple of 18 and 1 + o + (-4)/(-4)?
18
Let y(c) = -4*c**2 - 6*c**2 + 26*c**2 - 1 + 9*c**2. Calculate the smallest common multiple of y(1) and 18.
72
Let g = 21 - 1. Let b be 8/g*5*-4347. Find the common denominator of 7/4 and b/(-1456) + 4/26.
8
Let f(u) = 7*u**2 - 89*u - 14. Calculate the lowest common multiple of 4 and f(15).
452
Suppose -8 - 4 = -3*k. Suppose -w = -5*l - k - 1, -3*w + l = -85. Calculate the lowest common multiple of 30 and w.
30
Suppose 0 = a + 4*a - 5. Let r be a/1 - (-1 + -8). Calculate the least common multiple of 344/40 + 4/r and 4.
36
Let v(o) = -o**3 + 18. Let r be v(0). Let z = r - 9. Let f = -8 + z. What is the lowest common multiple of 11 and f?
11
Let n be (6/(-370))/((-4)/(-4615)). Let z = n - 3/74. Find the common denominator of 2/(-9) - 247/(-18) and z.
4
Let u be (3 - 0) + -12 + 23. Let k be ((-4)/(-6))/(u/2037). Wh