24. Find the common denominator of (-327)/11*2/j and 13/10.
110
Let m(u) = -u**2 - 11*u + 16. Let c be m(-12). Suppose -4*q + 32 = -5*r + 4*r, c*q + 48 = -3*r. What is the least common multiple of 6 and (-16)/(-20) - 4/r?
6
Let j(a) = 21*a + 255. Suppose -7 = 4*q - 43. What is the smallest common multiple of q and j(-12)?
9
Let f be (-8)/(-10)*(-15)/6. Let z = 59/7 + -628/77. Calculate the common denominator of 27/48*(-22 + -2 - f) and z.
88
Suppose 4*r - 272 = -5*t - 0*r, -4*r = -12. Suppose -t = l - 14*l. Calculate the least common multiple of l and 56.
56
Let p(c) = c**2 - 13*c + 13. Let y be p(8). What is the lowest common multiple of 5 and (6/y)/(6/(-54))?
10
Suppose d + 3*h - 63 = 0, 2*d - 38 = -h + 88. Calculate the lowest common multiple of 60 and d.
1260
What is the lowest common multiple of 21 and (752/(-24) - 6)/(4/(-6))?
168
Let q be -9 - -8 - (-195676583040904911)/(-293760). Let w = -666110372541 - q. Let d = -1/19584 + w. Find the common denominator of 79/16 and d.
80
Suppose -2*c - 8 = -0. Calculate the smallest common multiple of 8 - (-3 - c/4) and 11.
110
Let u = 2 + 20. Let s = 791 + -753. What is the lowest common multiple of s and u?
418
Let c(x) = 2*x**2 - 2*x + 2. Let j be c(3). What is the lowest common multiple of (-8 + 4)*j/(-8) and 11?
77
Suppose -z - 3*f + 4 = 9, 0 = -2*z + 3*f + 35. Let w = -2871 - -17311/6. What is the common denominator of (-2)/(-8)*(-76)/z and w?
30
Suppose k - 10 = -4*k. Let d = -9 + 14. Suppose 2*x + m - 32 - 9 = 0, d*x - 104 = -4*m. Calculate the smallest common multiple of x and k.
20
Let q = 5/119 - 7745/238. Suppose 2*s - 2*w - 2 = 0, 2*w = s + 1 - 2. Find the common denominator of s + 1 - (-221)/(-374) and q.
22
Let b = 3085 - 1594. What is the lowest common multiple of 4 and b?
5964
Let t = -292795/54 - -5423. Calculate the common denominator of t and -71/6.
54
Suppose 0 = 5*g + 2*m - 9, 2*g + 3 = -0*g - 3*m. Let t(o) = o**3 - 4*o**2 + 8*o + 2. Let b = 24 - 17. Calculate the lowest common multiple of b and t(g).
119
Suppose 5*b - v = 1075, 0 = 5*b + 4*v - 0*v - 1050. What is the smallest common multiple of 16 and b?
1712
Suppose 5*d - f - 16 = 19, 0 = -2*d + 3*f + 27. Calculate the least common multiple of 6 and d.
6
Suppose 0 = -k + 69*x - 66*x + 37, x + 31 = k. Calculate the smallest common multiple of k and 68.
476
Let i(u) = u**3 + 6*u**2 + 5*u + 2. Suppose -2*g - 42 = -2*z, 9*g - 6*g = -9. What is the least common multiple of i(-4) and z?
126
Let m = -9118792/9 - -1008760. Let h be (2/(-4))/((-2)/(-17728)). Let d = m - h. Calculate the common denominator of d and 38/5.
45
What is the common denominator of ((-2)/48)/(324/(-7884)) and 169/60?
360
Calculate the common denominator of (((-100)/(-66))/((-3)/9))/(-4) and 143/24.
264
Calculate the common denominator of 17148/3344 + -3 + (-10)/95 and -161/132.
132
Let x(w) = 6*w - 38. Let k(r) = -6*r + 3. Let s be k(-1). What is the least common multiple of (-110)/(-6) + 1/(-3) and x(s)?
144
Let r = -53 + 90. Suppose -4*v - 3*i + r = 0, -i = -4*v + 25 + 16. Let a(n) = n. Calculate the smallest common multiple of a(6) and v.
30
Let l(p) = -78*p + 1. Let j be l(-1). Suppose 0 = -3*z - 9. What is the common denominator of -11/20 and z + (j/(-14) - -1)?
140
Calculate the common denominator of (-1)/216*-236*3/(-2) and -167/42.
252
Calculate the least common multiple of 108 and (-207)/(-6) - (-9 - 30/(-4)).
108
Let u be (-10)/(-35) - 13134/7. Let c = 28211/15 + u. What is the common denominator of -23/30 and c?
30
Let s(w) = -15*w. Calculate the least common multiple of s(-4) and 330.
660
Let i = -34/9 - -26/7. Calculate the common denominator of i and 75/56.
504
Let r be (1 - (-29 + 0)) + (0 - 3). Let f = -17 + r. Calculate the least common multiple of 26 and f.
130
Let n = 2156 - 2149. What is the least common multiple of (4/3)/((-2)/(-15)) and n?
70
Suppose 2*t + 2 = 6. Suppose t*x + 70 = -3*x. Find the common denominator of x/(-8) - 6/18 and 109/18.
36
Suppose 3*u - 2*i = 4*u + 145, -294 = 2*u + 5*i. Let z = -8 + u. Find the common denominator of 93/2 and (2/(-8))/((-25)/z).
20
Suppose -4*u = -0*u. What is the smallest common multiple of -1 + (4 + -1)*1 and 11/((3 - u)/3)?
22
Let k be -2*55/(-50) + (-12)/(-15). What is the common denominator of 46/17 and 0 + (k/21 - (1 - 8))?
119
Suppose 62 = 2*y - 4*f + 30, 78 = 4*y - f. Let o(d) = d**2 - 2*d - 3. Calculate the least common multiple of y and o(-3).
60
Suppose -j - 7 = -5*z + 4, -4*z + 12 = -4*j. Let k = j + 5. Suppose -3*p + 9 + 2 = -k*w, 4*p = 20. Calculate the smallest common multiple of w and 2.
2
Suppose -3*x = 2*j + 33, -7*j + 2*j = 0. Let a(f) = -f**3 - 13*f**2 - 10*f + 10. Let r be a(x). Calculate the common denominator of 67/22 and (7/14)/((-4)/r).
44
Find the common denominator of ((-91)/(-52))/((-32)/(-6)) and -13/40.
320
Suppose 166 = 5*k + 116. Let d(g) = 3*g - 29. Calculate the smallest common multiple of d(k) and 89.
89
Suppose 56 + 169 = 5*o. Let i(j) = -41*j - 524. What is the smallest common multiple of o and i(-13)?
45
Suppose -44 = -192*d + 191*d. Calculate the least common multiple of d and 56.
616
Find the common denominator of (-24)/18*3 - 146/(-4) and -9/17.
34
Let q(c) = -c**2 + 10*c + 4. Let f(p) = 1. Let s(a) = 2*f(a) + q(a). What is the lowest common multiple of s(10) and 16?
48
What is the smallest common multiple of 146 and 1 + ((-22)/(-5))/((-54)/(-135))?
876
Let h(i) be the first derivative of -i**3/3 - 21*i**2/2 - 18*i - 45. What is the lowest common multiple of 54 and h(-20)?
54
Let o be (-14980)/(-6) - (-4)/(-6). Let a = 14881/6 - o. Find the common denominator of 21/4 and a.
12
Suppose -6*x + 20 = -x. Find the common denominator of -48/11 and x/3*16/(-20).
165
Let g = 145809/16 + -9119. What is the common denominator of 2/5 + 113/(-20) and g?
16
Let n = -15 + 21. Suppose 8 = -i + 22. Suppose n = 5*w - i. Calculate the lowest common multiple of 12 and w.
12
Let m = -293/26 + 2267/260. What is the common denominator of -13/35 and m?
140
What is the smallest common multiple of 3 and ((-526)/(-7))/(2/14)?
1578
Let i(v) = v**2 - 4*v - 408. What is the smallest common multiple of i(-31) and 5?
3385
Suppose 4*m + 4 = 12. Let r be (-4)/12*(-103 - m). Calculate the common denominator of ((-26)/12)/((-5)/r) and -109/10.
30
Let n = -10932817/2475 + 48588/11. Calculate the common denominator of n and 59/75.
225
Let w = -408725/308 + 368/77. Let u = -1307 - w. What is the common denominator of 71/2 and u?
4
Let l = 52 - 52. Calculate the common denominator of 1 - (-37)/(1 + l) and (202/9)/((-12)/9).
6
Let h(w) = -w**3 - 7*w**2 + 5*w - 10. Let j be h(-8). What is the lowest common multiple of (-5 + -2)*(-6)/j and 9?
9
Suppose 0 = -2*t - 6, -3*w - 3*t + 3 = t. Suppose -5*q - 165 = -w*d, -151 = -5*d - q - q. Let g = 28940/11 - 2636. Calculate the common denominator of g and d.
11
Let o = -23 + 29. Suppose 5*k - 18 = 2*a, 2*a - o*a + 8 = k. Suppose -20 = k*p - 60. What is the lowest common multiple of p and 10?
10
Let q(f) = f + 50. What is the smallest common multiple of 22 and q(16)?
66
Suppose -509*r = -516*r + 840. Calculate the least common multiple of r and 120.
120
Suppose -242 = -6*w + 478. What is the lowest common multiple of 40 and w?
120
Let t(g) = -272*g - 3. Let k be t(4). Let p = k + 6601/6. Find the common denominator of ((-3)/(-156))/((-13)/(-2314)) and p.
78
Suppose 0*t + a = -4*t - 719, 2*a + 898 = -5*t. Calculate the common denominator of 11/9 and (238/t - 8/(-36)) + 2.
90
Let y be ((-1)/(-4))/(3/(-5853)). Let f = y + 508. Let q = 17143/6 + -2841. Calculate the common denominator of q and f.
12
Suppose 0 = 4*v + 195 - 227. Let q be 0*(-2)/(-1 + -3). Suppose v*y - 6*y - 10 = q. Calculate the lowest common multiple of 9 and y.
45
Let b = 112759937/238 - 473782. Let c = 14/17 + b. Find the common denominator of (-13)/(-6) - 2 - 0 and c.
42
Suppose -3*y = -5*s - 9, -y + 5*s - 6 - 1 = 0. Let m = 5 - 1. Suppose -l = -0*l - m. Calculate the least common multiple of l and y.
8
Let l = -42570410399318/15081 - -2822784326. Let c = l - 2/457. Find the common denominator of 1/27 and c.
297
Calculate the smallest common multiple of (-11)/(-11) - 7 - -27 and 516.
3612
Let d = -1/287 + 3160/861. Find the common denominator of d and -11/6.
6
Let a = 205 - 133. Calcul