 r(w) = 16*w**2 - 23*w + 61. Calculate the least common multiple of 6 and r(4).
450
Suppose 3*q = 118 - 100. Suppose -9 = 2*v - 4*z - 37, -22 = -v + 4*z. Calculate the smallest common multiple of q and v/(-21) + (-172)/(-14).
12
Let v be (-8000)/(-44) - (-2)/11. Suppose -v = -3*s + 4*f, -3*s + 4*s = -5*f + 29. Find the common denominator of -75/2 and (s/24)/((-10)/12).
10
Let q = -23325 - -466609/20. Calculate the common denominator of (-686)/(-160) - (-2)/5 and q.
80
Let t = -18 + 38. Let b = -14 + t. Let l = 12 - b. What is the least common multiple of l and 9?
18
Calculate the common denominator of (90/(-1650))/((-1)/18) and 81/4.
220
Suppose -2*c + 225 = 5*j - 3*c, -j - 3*c = -45. Find the common denominator of ((-36)/j)/(3/(-80)) and 85/2.
6
Let u be ((-4)/(-10))/(3/30). Suppose -3 = -u*g + 3*m, -5*g - 4*m = -3*m - 18. Calculate the least common multiple of 6 and g.
6
Let o = 46 - 28. Suppose 0 = -3*y + 3*z + o, y + 2*z + 0 = -6. Calculate the lowest common multiple of y and (0 - 1) + 5 + 10.
14
Let m(q) = q**2 - 11*q. Calculate the lowest common multiple of 30 and m(-2).
390
Suppose -4*y + y = -21. Suppose a + 3*s = 33, -4*s = 176*a - 175*a - 34. What is the lowest common multiple of a and y?
210
Let t = -10 - -21. Suppose -o + 33 = -4*f - t, -4*o = -5*f - 154. Let m = o + -14. Calculate the lowest common multiple of 18 and m.
198
Let g = 815577/139420 - -3/13942. Suppose -4*c + f = -10 + 46, -45 = 5*c - 5*f. Calculate the common denominator of g and (c/(-12)*7)/(1 - -4).
20
What is the common denominator of ((-82)/31)/((-98)/(-7) + -2) and 25/9?
558
Find the common denominator of (-1896)/36*2/(-8) and -91/24.
24
Suppose 4*o = 2*o + 2. Calculate the lowest common multiple of 8 + 12 + (o - -3) and 12.
24
Suppose 16 = 7*f - 68. Suppose -x = -5*x + f. Suppose q = 4*o - 46 + 10, 0 = x*q. Calculate the smallest common multiple of 7 and o.
63
Let z be (3/(-2))/((-3)/(-140)). Calculate the common denominator of (56/(-160))/((-4)/z) and -139/6.
24
Let b(q) = -q + 15. Let f be b(10). Suppose 0 = 3*r - 7*r - f*k + 98, r - 17 = -5*k. Find the common denominator of r and -1/61.
61
Let a = -13 - -58. Suppose 0 = 7*k - 2*k - a. Suppose -4*l + 3*t = -5, 5*l - t - k = -0*t. Calculate the smallest common multiple of l and 7.
14
Suppose 4*d = k - 70, -5*k + 146 = 2*d - 226. Calculate the common denominator of (-4)/(48/k) - -2 and -47/4.
12
Let c(p) = -5*p - 1. Let i(k) = -1. Let b(h) = c(h) + 5*i(h). Calculate the least common multiple of 4 and b(-3).
36
Let o(f) = f**3 - 2*f - 1. Let x be o(2). Suppose -x*u - 16 = -z - 55, -33 = -3*u + 3*z. Calculate the least common multiple of u and (-666)/(-33) - (-6)/(-33).
140
Let m(q) = -q**2 - 31*q + 78. Calculate the smallest common multiple of 180 and m(-33).
180
Let u(x) = 4*x + 49. Suppose 0 = 24*l - 19*l + 60. Calculate the smallest common multiple of u(l) and -2*(21/(-6) + 2).
3
Suppose 3*j - 351 = 1563. What is the smallest common multiple of 12 and j?
3828
Suppose -3*o - 116 = -5*l - 7*o, 9*l = -5*o + 211. What is the least common multiple of l and 480?
480
Let c(n) = n**2 + 3. Let q be c(0). Let t be q - 1 - 2 - -4. Suppose t*y - 7*y + 30 = 0. Calculate the smallest common multiple of y and 9.
90
Suppose 2*k = -5*h + 94, k + 11 + 5 = h. Calculate the smallest common multiple of 99 and h.
198
Suppose 12*f - 816 - 96 = 0. What is the smallest common multiple of 12 and f?
228
Calculate the lowest common multiple of 413 and -7 + 460*12/30.
1239
Let r be 990/(-121) - (-3)/((-33)/(-2)). What is the common denominator of 15/14 and ((-146)/(-8))/(12/r)?
42
Suppose -8*o = -2 - 262. What is the least common multiple of 336 and o?
3696
Let b = -58 + 94. What is the least common multiple of b and ((-21)/(-14))/3*36?
36
Let u be ((-4)/(-6))/(6/(-45)). Let z(g) = g + 15. Let d be z(u). What is the least common multiple of (d/(-4))/((-2)/4) and 11?
55
Find the common denominator of 16/15 and (-56)/28 + 47/25.
75
Let s = 1365 - 2375. Find the common denominator of (-4)/10 - s/(-225) and -23/9.
9
Suppose -5*h - 44 = -s - 0*s, -s + 28 = -3*h. Let o = h + 22. Calculate the smallest common multiple of o and 1.
14
Suppose -h + o + 2 = 0, 0 = -3*o - 2*o - 15. Let j = 4932 + -29489/6. What is the common denominator of 0 - 27/(-14) - h and j?
42
Let d = 1392 + -1284. Calculate the smallest common multiple of d and 96.
864
Suppose -4*x - 4*d + 68 = 0, -x = 6*d - d - 37. Suppose 3*y + 7 = 2*c + 71, 40 = 2*y - 4*c. What is the least common multiple of y and x?
132
Let f be (-26)/(-6) + (-10)/30 + -3. Suppose 2*i = -i + 3*o, 5*i + 16 = -3*o. Calculate the lowest common multiple of i + f + -3 + 20 and 6.
48
Let h = 5791/1530 - -23/85. Calculate the common denominator of h and 27/262.
2358
Let s(l) = 68*l**3 - 2*l**2 + l - 1. Let w be s(3). Let a be (-16834)/w - (-1 - -2). Let v = 50/91 + a. Calculate the common denominator of 19/4 and v.
20
Let a(r) = -r**2 + 11*r - 28. Let u be a(7). Suppose u = -k + 79 - 61. Calculate the least common multiple of k and 93.
558
Let z(t) = t**2 + 6*t - 6. Let n be z(-7). Find the common denominator of 1/22 and (3 - 78/32)/(n + 0).
176
Let u be (-48)/(-36)*(-427)/10. Let x = u + 481/10. Let m = 2/1567 + 214655/18804. Calculate the common denominator of x and m.
12
Suppose -15 = -3*z, -4*i = z + 2*z - 19. Calculate the least common multiple of i and 34.
34
Suppose 14*s = 11*s. Suppose s*c - 6*c = -18. What is the least common multiple of 6 and c?
6
Let n(b) = 3*b**2 - 2*b - 28. What is the lowest common multiple of n(-5) and 21?
399
Suppose 1470*p + 176 = 1472*p. What is the smallest common multiple of 99 and p?
792
Suppose -2*a + 229 + 289 = -t, 0 = 2*a + 5*t - 494. Calculate the least common multiple of a and 9.
2313
Suppose 46 = 11*o - 152. Find the common denominator of ((-3)/o)/(12/(-906)) and 39/22.
132
Let g be (68/(-935))/((-6)/(-4045)). Let o = -124979 - -2750129/22. Let q = g + o. Find the common denominator of q and -101/16.
48
Let u = 310 + -244. What is the smallest common multiple of u and 16?
528
Let n be 30/(-7) + (-10)/(-35). What is the least common multiple of n/22 - 600/(-33) and 12?
36
Calculate the common denominator of -53/4 and (12 + (-455)/39)*(-286)/(-4).
12
Let b = -960161/42 - -22865. Calculate the common denominator of 103/24 and b.
168
Let n(w) = 4*w + 4. Suppose 21*h - 16*h = 15. Suppose f - h*f + 24 = 0. What is the smallest common multiple of f and n(3)?
48
Suppose 4*o = 5*o - 4*g - 28, 2*o - 34 = -3*g. Calculate the smallest common multiple of (-14)/63 - 38/18*-2 and o.
20
Suppose 0 = 2*c + 2, 14 = -3*d - c - 2. What is the lowest common multiple of 12 and 4/(-20) - 11/d?
12
Suppose -3*b = 12, -d = -3*d - 4*b + 96. What is the lowest common multiple of 116 and d?
1624
Let p be (-224996)/24 + 3 + 3. Let c = p + 9344. Let s = -1523383/146244 + 2/36561. Calculate the common denominator of c and s.
12
Let d(b) = b**3 + 8*b**2 - 61*b - 14. Calculate the smallest common multiple of d(5) and (-2)/(2 - (-46)/(-22)).
66
Calculate the common denominator of -83/234 and 5280/384*1*6/325.
1170
Let f = 56 - 57. Calculate the smallest common multiple of 38 and (34/6 - f)/((-16)/(-24)).
190
Let b(y) = -y**3 + 9*y**2 - 11*y + 20. Let r be b(8). Find the common denominator of ((-672)/(-15))/r - 0 and 56/11.
55
Let a = 1 + 7. Let o(g) = -g**2 + 13*g - 10. Let d be o(12). Find the common denominator of -77/6 and (d/a)/((-5)/(-385)).
12
Let d = 15320107/196 - 78164. Find the common denominator of 9/8 and d.
392
Suppose 383 = -8*a + 1279. What is the least common multiple of a and 4?
112
Let s = 104 - 75. Let h = s - 23. Suppose -3*y + 5*r + 33 = 0, -2*r = -5*y + 54 + 20. Calculate the lowest common multiple of y and h.
48
Suppose -3*z - 3 = 0, -3*d - 11 + 77 = -3*z. Suppose -3*n + 27 = 4*i, 3*n - d = i - 3*i. What is the smallest common multiple of 6 and i?
6
Let j(f) = -7*f - 119. Calculate the smallest common multiple of 14 and j(-23).
42
Suppose -5*t - 3*a = -0*a + 2400, -2*t - 969 = 3*a. Let y = t - -3801/8. Calculate the common denominator of 59/4 and y.
8
Let o be (-2)/(-20)*4*190. Suppose 2*g + o = -0*g. Let m = -26 - g. What is the smallest common multiple of m and 20?
60
Suppose 7 = 2*s + 1. Suppose -s*m + 15 = -12. Suppose -2 = -q - l, q + 3*q + 2*l = 10. Calculate the small