) be the first derivative of y**2/2 - 2*y - 6. Let p be o(9). Calculate the common denominator of 41/8 and (-3)/p - 202/84.
24
Suppose j - 3*j = 5*y - 30, 2*y = 2*j + 12. Let a(w) = -w**3 - 9*w**2 + 11. Calculate the smallest common multiple of a(-9) and y.
66
Suppose -14*z = -9*z. What is the smallest common multiple of z*1/(-4) + 7 and 6?
42
Find the common denominator of -53/120 and (-11)/(-55)*64/(-84).
840
Suppose 5*i - 14*i + 108 = 0. What is the least common multiple of (-80)/i*-1 - 4/6 and 18?
18
Let r(t) = 2*t**2 + 2*t + 3. Let z be r(-2). Suppose k - z = -4. What is the lowest common multiple of k and 6?
6
What is the least common multiple of (-5)/(-6) - (-3282)/36 and 10?
460
Find the common denominator of 23/394 and (40/48)/5*91.
1182
Let s = 2133 + -10702/5. Calculate the common denominator of 89/40 and s.
40
What is the common denominator of 151/60 and 10/4*(-17)/46750*415?
660
Let j = 20821/6 + -3480. Find the common denominator of j and (-27*8/(-16))/((-3)/(-11)).
6
Let y be (-72)/((-12)/3) - -4. What is the least common multiple of 15 and (9/2)/(11/y)?
45
Suppose 0 = 2*o + 2*o, b - 6 = 4*o. Let r be (3 + b)*2/6. Suppose 0 = g + 1 - r. What is the least common multiple of g and 22?
22
Suppose 0 = -b + 6*b - 520. Suppose 6*a + 8 = b. Let w(i) = 5*i**2 + 2*i - 1. What is the smallest common multiple of a and w(1)?
48
Suppose -h = 3*w + 2*h - 804, 3*w + 5*h = 796. Calculate the least common multiple of w and 14.
1904
What is the common denominator of -37/7 and ((-1)/3)/((-20)/(-1220))?
21
Let q = 155569/94 - 1655. Calculate the common denominator of -16/329 and q.
658
What is the common denominator of -6 - (864/(-70))/3 and -24/77?
385
Suppose f - 6 = -10. Find the common denominator of (3/f)/((-28)/(-40)) and 87/10.
70
What is the common denominator of (1/(3/1))/(1953/945) and -53/4?
124
Find the common denominator of 611/(-540) - 52/(-130) and -29/144.
432
Let x = -22781/2 + 956933/84. What is the common denominator of -95/252 and x?
252
Suppose 4*l + 4*q + 3 = 15, -2*q = -4*l + 24. What is the lowest common multiple of (-356)/(-52) + 4/130*l and 8?
56
Let t(a) = -10*a. Suppose 450*q - 455*q = -100. Calculate the smallest common multiple of q and t(-1).
20
Suppose 3*i - 6*i = -9. Suppose -u = i*u + 500. Let v = u + 503/4. Calculate the common denominator of v and -71/2.
4
Suppose -55*t + 52*t = -72. Let w = -21 + t. Calculate the least common multiple of 8 and w.
24
Let t(l) = -l**3 + 11*l**2 + 12*l + 4. Suppose 0 = 5*w - 25, 2*w + 2*w - 64 = -4*j. Let u = 19 - j. What is the smallest common multiple of t(12) and u?
8
Suppose -4*q - 57 = -l + 9, q = l - 69. Calculate the lowest common multiple of l and 11.
770
What is the common denominator of 79/174 and 46/805*(-465)/(-9)?
1218
Let r = 515 - 510. What is the lowest common multiple of r and 20?
20
Suppose 0 = -y - l + 57, y = -y - 5*l + 105. What is the least common multiple of y and 40?
120
Let k be -8*(15/10 - 1). Let c(g) = -g**3 + 10*g**2 - 9*g + 7. Calculate the least common multiple of c(9) and 10/k*(-252)/70.
63
Suppose 0*g = g + 5. Suppose -6 = -p - 2*w, 2*p + 4 = 4*w - 0. What is the common denominator of (-2)/18*g - p and 47/10?
90
Let d = -770053/24 + 32080. What is the common denominator of d and -23/18?
72
Let f = 28 + -26. Calculate the common denominator of 1*f/4 - 52/10 and -39/16.
80
Suppose 2*r - 120 = -2*r. Calculate the least common multiple of 40 and r.
120
Calculate the lowest common multiple of (10/(-15))/(8/(-36)) and 145.
435
Let d = 18 + -27. Let j(a) = a**2 + 7*a - 4. Calculate the lowest common multiple of 4 and j(d).
28
Let v(s) = -s**3 + s**2 + s + 11. What is the smallest common multiple of v(0) and -10*4/(-16)*(-18 + 20)?
55
Let o = -6 - -8. Suppose 0 = 8*z - 5*z - 33. Suppose -5 - z = -5*v - l, 4*v + o*l - 8 = 0. Calculate the least common multiple of v and 7.
28
Suppose 0 = 7*a - 1453 + 1390. What is the smallest common multiple of a and 372?
1116
Let y be 0 + (2376/2235 - (-2 + -1)). Let v = -11/298 - y. Find the common denominator of v and -38/11.
110
Suppose 48 = 7*z - 36. Calculate the least common multiple of z and 48.
48
Suppose -k - 157 = -5*y, -68 = -3*y + 9*k + 43. Suppose -2 = -v, 0 = -z - 2*v - 2*v + 9. What is the smallest common multiple of z and y?
31
Let p = 76 - 237. Let f = 179 + p. Calculate the least common multiple of 15 and f.
90
Let x = -3995131/18 + 435613/2. Let a = x - -4153. What is the common denominator of 31/12 and a?
36
What is the lowest common multiple of 45 and 169/8 + 31/8 + -4?
315
Suppose -2*y + 7 + 3 = 0. Let j = -18 + 19. Calculate the lowest common multiple of y and 15 + j - (-4)/(-2).
70
Let d(b) = 2 - 7 - 2 + b - 1. Let l be d(12). Suppose l*k + 18 = 114. What is the least common multiple of k and 8?
24
Let k = 44 + -30. What is the least common multiple of 6 and 102/27 + k/63?
12
Let g = -183 + 203. Let w = 9 - 5. What is the least common multiple of w and g?
20
Let a = -5/16362 + -37706/57267. What is the common denominator of -123/154 and a?
1386
Let p = -1927/2 - -928. Let y = -271 + 469. What is the common denominator of (-6)/(-10) + y/(-105) and p?
14
What is the least common multiple of -9 + 15/(15/49) and 60?
120
Calculate the common denominator of (-2)/(-3)*((-122)/(-148) + -1) and 49/27.
999
Find the common denominator of (-5)/10 - 273/(-30) and 4/14 + (-14547)/(-1638).
30
Suppose 3*t - 51 = -4*k + 4*t, 0 = -k - 5*t - 3. Let x = -27 + k. Let b = 29 + x. Calculate the smallest common multiple of b and 10.
70
Let k = -91/20 + 943/60. Find the common denominator of k and 65/14.
42
Let w(a) = -a**3 + 7*a**2 - 11*a + 12. Let i = 14 - -5. What is the smallest common multiple of i and w(5)?
133
Calculate the smallest common multiple of (36/21)/(288/(-42) + 7) and 156.
156
Suppose 930 = -3*u + 1065. What is the smallest common multiple of 33 and u?
495
Suppose -3*m - 4 + 13 = 0. Let w = 1372 + -1366. What is the least common multiple of 2/m - (-120)/9 and w?
42
Let r = 947 - 17065/18. Let v = -13471 + 242381/18. What is the common denominator of v and r?
18
Suppose 5*f + 13897 = -4*c, 0 = 10*f - 12*f - 2. Let u = 458124589/22 - 20820371. Let m = u + c. What is the common denominator of m and -81/10?
110
Let b = -700/3 - -249. What is the common denominator of b and 2547/(-396) - 2/(-11)?
12
Let s = -15 + 31. Let p be (-42 + -2)*(-6)/12. Calculate the least common multiple of 11/p*s/1 and 14.
56
Suppose 3*q - 19746 = 6174. Let h = q - 172857/20. Let g = 2/2027 - 139903/40540. Find the common denominator of g and h.
20
Suppose -25 = -5*n, 5*n = -66*g + 67*g + 13. Calculate the least common multiple of 20 and g.
60
Suppose -3*q - 32 = -5*q. Calculate the lowest common multiple of (8/3*-3)/(-1) and q.
16
Let k = -61245/3083 - -71302897/7013825. Let f = 804312603/4550 - 176772. Let g = k - f. Calculate the common denominator of g and -19/6.
30
Let d be ((-31378)/(-20))/(3/(-6)). Let p = 3148 + d. What is the common denominator of 23 and p?
5
Let g = -1/267 + 6947/1335. Find the common denominator of (-16)/(-70)*825/(-66) and g.
35
Calculate the common denominator of 35/340 + (2 - (-5)/(-2)) and -73/28.
476
Let g = 33338/9 + -3699. Find the common denominator of (-4)/(-48)*(-3164)/(-42) and g.
18
Find the common denominator of ((-6)/(-216))/((-8)/388) and 79/8.
72
Suppose 5*q - 3 = -3*i + 42, -i = 5*q - 5. What is the smallest common multiple of i and (-7)/(63/14 + -5)?
140
Suppose -10*l - 188 + 298 = 0. Calculate the lowest common multiple of 203 and l.
2233
Calculate the common denominator of (-47)/(-4 + 1 + -6) and 27/194.
1746
Let b = -775 - -5747. Let j be ((-199046)/50)/((-4)/(-5)). Let c = j + b. Find the common denominator of -91/32 and c.
160
Let y = -1949/6 + 326. What is the common denominator of y and (-6376)/(-576) - 9 - 4?
72
Let b(y) = y + 36. Let a = -14 + -4. Calculate the lowest common multiple of b(a) and 28.
252
Let j be (-6)/3 - 328934/(-92680). Let g = -2/2317 - j. Let h = -296/3 + 1055/12. Find the common denominator of h and g.
20
Suppose -4*x + 56 + 56 = 0. Suppose 22 = l + 2*a, l = 3*a + a + x. Calculate the lowest common multiple of 4 and l.
24
Suppose -6 = 5*f - 0*f - 2*c, 5*f + 3*c - 9 = 0. Let h(t) = -2*t + 8. Calculate the least common multiple of (-1)/((-3)/(10 + 2)) and h