4
Suppose -t + 27 + 12 = 0. Suppose -17*n = -12*n - 45. Calculate the smallest common multiple of t and n.
117
Let x(a) = 11*a**2 - 5*a + 5. Let q(f) = 6*f**2 - 2*f + 2. Let t(p) = -9*q(p) + 4*x(p). Let l be t(-2). Calculate the lowest common multiple of 8 and 3/4 - l/8.
40
Let r be (-3)/(5095/4 + -1). Let z = r - 49165/20364. What is the common denominator of z and (-9)/(-3) - 675/(-486)?
36
Let o = -51 + 85. Let v(a) = -a**3 - a**2 - 2*a + 18. Calculate the lowest common multiple of o and v(0).
306
Let i = 40577 - 1541837/38. Let v be (-18)/(-131)*14/21. Let c = 7157/524 + v. What is the common denominator of c and i?
76
What is the common denominator of 17/27 and (-95)/15*2/30?
135
Let n = -322/3 - -509/6. What is the common denominator of n and -109/14?
14
Let d = 2216 - 719. Calculate the smallest common multiple of 11 and d.
16467
Let b = -1735629/116 + 14963. Find the common denominator of b and -115/48.
1392
Let q(w) = w**3 - 11*w**2 - 5*w + 23. Let a be q(11). Let s = 40 + a. What is the smallest common multiple of s and 74?
296
Let g = -51 - -71. Let r = 292 - 280. Calculate the lowest common multiple of r and g.
60
Let v = -11 + 13. Suppose 0 = -3*g + 4*r - 2, -4*g = -4*r + r - v. Calculate the common denominator of (3/72)/((-3)/476) and g.
18
Let x = -95 + 94. Find the common denominator of -119/12 and 20/6 + (4/(-8))/x.
12
Let l = 1211/20 + -9203/160. What is the common denominator of 47/7 and l?
224
Let w be (-184)/16*(-1736 - 1 - 1). Let t = -799363/40 + w. Calculate the common denominator of t and 115/36.
360
Let r = -9 - -19. Suppose 0 = -y + 4*y + 5*a + 16, 0 = 2*a + r. Calculate the lowest common multiple of y and 3.
3
Suppose -16 = 2*o - 6. Let y(f) = -f**3 - 6*f**2 - 12*f - 2. What is the lowest common multiple of y(o) and 12?
132
Let y = 6000749 - 1092131967/182. Let p = 166/7 - y. Find the common denominator of 17/6 and p.
78
Let y(g) = -6*g + 62. What is the smallest common multiple of 74 and y(9)?
296
Let p = 1025 - 6209/6. Find the common denominator of p and 652/140 - 3/(-15).
42
Suppose 60*y - 871 = 689. Let c be (-4 - -3)*0/(-2). Let l = c + 12. What is the least common multiple of y and l?
156
Find the common denominator of 2/(-189)*(138 + -128) and -127/30.
1890
Let z(n) = -n**2 - 13*n + 66. What is the least common multiple of 42 and z(-16)?
126
Let o = 47 - 40. Let q(l) = 2*l. Let m(z) = 1. Let p(x) = 2*m(x) + q(x). What is the least common multiple of p(o) and 22?
176
Let b be 6/4 - 4/(-8). Suppose 4*z - 6*z - 20 = -2*s, -2 = s + b*z. Calculate the lowest common multiple of s and ((-8)/(-22))/(((-15)/33)/(-5)).
12
What is the common denominator of 41/125 and 8/(-55)*12*(-18)/(-27)?
1375
Suppose y = 2*y - 12. Let s(f) be the first derivative of f**3/3 + 7*f**2/2 - 4*f - 16. Calculate the least common multiple of s(-8) and y.
12
Let v(z) be the third derivative of -z**5/60 - 3*z**4/8 - 5*z**3/3 + 2*z**2. What is the least common multiple of v(-7) and (-6161)/(-303) + -1*1/3?
20
Suppose -5*z + 15 = -0*z. Suppose -z*a + 33 = -k, -k - 57 = 4*a - 17. Calculate the common denominator of (-489)/k - 1/3 and 31/4.
4
Let l = 613 + -607. Calculate the smallest common multiple of l and 6.
6
Let o = 25/126 - 7/18. Find the common denominator of 290/(-5) + 1 + 2 + 5 and o.
21
Suppose -r = -0*r - 93. Let x = r - 71. Calculate the smallest common multiple of x and 6.
66
Let z = 67 + -279. Let w = 83/11 + -2753/308. Calculate the common denominator of w and 0 + (z/16)/(-1).
28
Let a = -591145/134694 + -2/22449. Let x = 9926 + -158753/16. What is the common denominator of x and a?
144
Suppose 66 = -22*q + 19*q. Let w be (1/(-2))/((-11)/q). What is the common denominator of (w/(-14))/(23/(-230)) and -125/12?
84
Let o(z) = -z**2 - 4*z. Let m be o(-2). Suppose -18 = n - m*n. What is the lowest common multiple of 4/n*252/24 and 8?
56
Let d(a) = a**2 - 9*a - 12. Let i be d(8). Calculate the common denominator of 81/10 and (-7 + 6)*3/i*-46.
10
Suppose 0 = o - 0*o + 14. Calculate the common denominator of -41*(-2)/o + 4 and -139/6.
42
Suppose 4*b + 436 = 4*v, -3*v - 35*b + 32*b + 321 = 0. What is the least common multiple of 168 and v?
1512
Suppose -5*a + 12 = -5*m + 27, -2*a - 12 = -4*m. Let v = 11 + 17. Suppose -3*l - x = -58, 4*x + v = -m*l + 98. What is the lowest common multiple of 10 and l?
90
Suppose 5*g + 5*x + 5060 = 0, 0 = -4*g - x - 3535 - 507. Calculate the common denominator of g/400 - 6/(-4) and -109/10.
40
What is the common denominator of 55/32 and ((-126)/(-6048))/(10/(-99))?
160
Let x = 647 + -636. What is the smallest common multiple of x and 4?
44
Let g = 9401 - 9394. Let o(a) = 1 - 2*a**2 - 2*a**2 + 8*a**2. Calculate the least common multiple of o(-1) and g.
35
Let c = -9055/12 - -758. Let w = 17/919 - -86897/22056. What is the common denominator of w and c?
24
Find the common denominator of -97/14 and 0 + 1790/(-928) - 136/(-68).
3248
Let r = 192 - 184. What is the smallest common multiple of r and 69?
552
What is the common denominator of (-179)/(-640) + (-27)/45 and -83/64?
128
Let f be 2/((-6)/(-7) + -1). Let l = f - 2. Calculate the lowest common multiple of (5 - l) + -2 + 1 and 6.
60
Let v = 849/11 + -5294/77. Let q = -622879 - -6868420/11. Let f = 1524 - q. Find the common denominator of f and v.
77
Let g(y) = 20*y - 3. Let f be g(5). Let n = 259 + -120. Let t = n - f. What is the smallest common multiple of t and 4?
84
Let y = -8034 - -8052. Calculate the least common multiple of y and (3/9)/((-1)/(-9)).
18
Suppose 7 = 4*i - 29. Suppose -5*z + 8 = -42. What is the least common multiple of i and z?
90
Let m be 6/((0 + 0 - 2)*-1). Suppose -5*j + 46 = m*v, 114 = v + 4*v - j. Calculate the lowest common multiple of v and 7.
154
Let u(a) = -a**3 + 2*a**2 + 40. What is the lowest common multiple of (105/(-20) - -5) + 243/12 and u(0)?
40
Let w = 9 + -10. Find the common denominator of (-115)/15 + w + -1 and -24.
3
Let w = 0 - -2. Let a(o) = o**3 + 4*o**2 - 9*o + 31. Let m be a(-6). Suppose 12*c - m*c + 8 = 0. Calculate the least common multiple of c and w.
8
Let c = -35378/16225 - 2/1475. Let d = -168 + 1007/6. What is the common denominator of d and c?
66
Let r be ((-389784)/(-160))/(3/(-6) + 0). Let s = -4861 - r. What is the common denominator of (-91)/6 + 2/2 and s?
30
Let u(k) = -k**3 - 6*k**2 - k + 6. Suppose -4*t - 32 = 4*c, 0 = -4*t + 5 - 13. Calculate the smallest common multiple of u(c) and 4.
12
Suppose -11*a + 25 = -10*a. Let n = -15 + a. Calculate the common denominator of -81/10 and (-21)/6*(-34)/n.
10
Suppose -2*k + 20 = s - 0*k, -2*s + k = -20. Calculate the common denominator of (3 + -3)/(-2) + (-89)/s and 71/12.
12
Suppose 0 = -j + 4*s + 20 + 20, j = s + 37. What is the common denominator of 5770/4340 + (-8)/14 and -1*206/j + 0?
558
Calculate the common denominator of (-4 - 130/(-33))*(-954)/48 and 49/2.
44
Let f = -63 - -131. Let o be f/7 + (-10)/(-35). Suppose -o = -3*u - 28. Calculate the common denominator of -31/4 and u.
4
Suppose 5*c - 3*c = -p + 311, -4*c - 4*p = -628. Let i = 25 + -15. What is the smallest common multiple of i and c?
770
Suppose -4*u + 5*o + 540 = 0, 3*o + 708 = 5*u + 5*o. Suppose -15*y = -20*y + u. What is the smallest common multiple of 3 and y?
84
Suppose -3*z = -13*z + 80. Calculate the lowest common multiple of z and 15.
120
Suppose 0 = -2*c - 3*a + 288, 0*c - 2*c - a + 292 = 0. Let g = c - 88. What is the least common multiple of g and 8?
472
Suppose 13*g + 0*g = 39. Calculate the smallest common multiple of g and 15.
15
Calculate the least common multiple of (-81)/5*(-7)/((-105)/(-50)) and 51.
918
Suppose -7*u + 2*u = -820855. Let o be u/(-5)*(-40)/176. Let d = o + -7464. Find the common denominator of -101/14 and d.
154
Let l(v) = -v**3 + 33*v**2 - 9*v - 135. Calculate the least common multiple of 4 and l(27).
3996
Suppose 32 = -2*q + 50. What is the least common multiple of q and 138?
414
Let t = -84 + 122. Suppose 0 = -0*u + 5*u + 5*k + 15900, -2*u + 5*k - 6367 = 0. Let w = u + 41329/13. Find the common denominator of t and w.
13
Let r = -5249207 - -3621951853/690. Let i = 8/69 + r. Calculate the common denominator of i and 93/2.
10
Let o = 298 - 2693/9. Let v = 1 + 5. Calculate the common denominator of o and v/(-12) - 41/14.
63
Let s = 391 + -270. Calcula