/27).
15
Let k = -4678 - -4711. Suppose -5*x = -4*i + 15, 3*x + 0*i - 28 = -5*i. Let r = 6 - x. What is the smallest common multiple of r and k?
165
Calculate the smallest common multiple of ((-496)/(-160))/(-2 - 210/(-100)) and 864.
26784
Let q(j) = -22*j. Suppose 0 = 2*b + 7 - 1. Let l be b/(-3)*(6 + -7). Calculate the smallest common multiple of q(l) and 12.
132
Let m(i) = -30*i**2 + 7*i - 12. Let w be m(2). Suppose 0 = n - 180 + 2. Let t = n + w. What is the least common multiple of t and 10?
60
Let q(n) = n**3 - 7*n**2 + 17*n - 51. Let y be q(5). Let w(g) be the first derivative of -3*g**2/2 - 18*g + 1. What is the least common multiple of 4 and w(y)?
60
Let x be 1 - 3 - (-1 - (-452)/4). Calculate the smallest common multiple of 2/(-4 + (-462)/x) and 44.
836
Let q be 84022/8 - 6/8. Suppose -h - k - 3502 = 0, -4*h + q = -7*h - 2*k. What is the smallest common multiple of 2/20 - h/220 and 22?
176
Let v = 8 + -8. Let i = v - -11. Let x(f) = 1040*f - 2069. Calculate the least common multiple of i and x(2).
11
Let x = -25013/3876 - 42/323. Let q = -116465/232 - -502. What is the common denominator of x and q?
696
Let a = 4463 + -321353/72. Calculate the common denominator of a and (28/3136)/(1/(-58)) + -1.
504
Let u(z) = 61*z - 2133. What is the least common multiple of 182 and u(55)?
8554
Let h(o) = o**2 + 18*o + 14. Let d be h(8). Suppose d = -7*c - 142. Let m = 68 + c. Calculate the lowest common multiple of m and 14.
112
Calculate the common denominator of (9695/870 - 10) + -1 and -95/58.
174
Let w be (1 - 7) + (-238)/(-34). What is the common denominator of (-30)/((-55)/(-10) - w) and 80/33?
33
Let x = 246 + -226. What is the common denominator of -71/33 and 240/(-550)*x/(-8)?
33
Let i = 10293 - 10053. Calculate the smallest common multiple of i and 867.
69360
Let b = 1164 + -17449/15. Find the common denominator of b and 131/564.
2820
Let s be 3*28*(-600)/(-18). Let k = 19645/7 - s. Calculate the common denominator of k and (-2)/11*(-15)/2.
77
Let b = -15251/8 + 1895. Calculate the common denominator of -1/3602 and b.
14408
Suppose -3*l - 25*l + 86 = 15*l. Calculate the least common multiple of l and 38.
38
Let z = -154 - -160. Suppose -514*u + 506*u = -88. Calculate the smallest common multiple of z and u.
66
Let z = 19 - 19. Let s = 1316 - 1314. Calculate the smallest common multiple of s and (-2 - z)*(-14)/4.
14
Suppose 3*t + 32 = v, -2*t = -3*v + 6*v - 52. Let u(w) = -5*w + 115. Calculate the lowest common multiple of u(v) and 45.
45
Let u = -778361/133060 - 2/6653. Calculate the common denominator of u and -77/1868.
9340
Suppose -o + 4*o + f - 26 = 0, 3*o - f - 28 = 0. Find the common denominator of ((-721)/(-14) - 6)/o and 109/30.
90
Suppose 0*c + 837 = -5*c - 3*v, 4*c + 656 = v. Let j = c + 177. Calculate the smallest common multiple of j and 24.
24
Suppose 2*f = -2*a + 3*a - 14, 41 = 4*a - 3*f. Suppose -21*c + 136 = s - 25*c, 5*s - 905 = -5*c. Calculate the smallest common multiple of s and a.
344
Let w = 30741181/5814 + -100452/19. Find the common denominator of w and -1/799.
14382
Suppose 35484*m = 35458*m + 260. What is the lowest common multiple of m and 941?
9410
Let z be (-3 - (-1 - 0)) + 1*10. Suppose -4*y - z = 0, y = -3*o - 2*y + 264. What is the least common multiple of 12 and 774/o - (-3)/(-5)?
24
Find the common denominator of 97/42 and (-2 - -20)*18/3240*117.
210
Let h(a) = 8*a - 194. Let n be (-56)/(-16) - (-9)/(-6). Suppose n*v = -10, 4*s - s + 9 = -3*v. Calculate the smallest common multiple of s and h(26).
14
Suppose 0 = -5*z + 104 + 176. Calculate the lowest common multiple of ((80640/150)/(-28))/(6/(-10)) and z.
224
Let z = 3899 - 3854. Calculate the smallest common multiple of 1230 and z.
3690
Let o(h) = h**3 - 5*h**2 + 2*h + 2. Let p(b) = 13*b + 315. Let z be p(-22). Calculate the least common multiple of z - (5/15)/(1/(-9)) and o(5).
96
Let h = 1584 - 11135/7. Calculate the common denominator of 1/6 and h.
42
Let r(w) be the second derivative of w**3 - 28*w**2 + 42*w. Calculate the least common multiple of r(12) and 14.
112
Suppose 23 = -4*i - 201. What is the common denominator of (i/378)/((-4)/(-30)) and 4/(-2) - (-102)/29?
261
Let l = -2762752/63 + 43852. Calculate the common denominator of ((-9)/30)/(434/(-1395)) and l.
252
Suppose 0 = 37*k - 2017 + 463. What is the least common multiple of k and 651?
1302
Suppose 33*c = 32*c + 2. Suppose -133 - 3 = -c*s. What is the lowest common multiple of s and 28?
476
Let h(n) = -2*n + 21. Let p(z) = z**2 + 14*z + 8. Let j be p(-14). Calculate the lowest common multiple of 49 and h(j).
245
Let c be 18 - (-3 + (30/(-6))/(-5)). Calculate the common denominator of 14/c*(-115)/3266 and -11/5.
1420
What is the lowest common multiple of 1*90000/56 + (-8)/7 and 3212?
3212
Let t be (564/16080)/((-2)/(-108)). Let f = t - 13/67. Calculate the common denominator of -3 - (1 + (-50)/(-32)) and f.
80
Let q(i) = 2*i**2 + 14*i - 2. Let f be q(-3). What is the common denominator of (-59)/(-2 + 4 - -2) and 2 - f*21/56?
4
Let v = 1381/567 + -195311/79380. Calculate the common denominator of 163/1764 and v.
8820
Suppose 3*x = -3*q - 69, -q = -4*x + 2*x + 38. Let u(i) = i**3 + 30*i**2 + 53*i - 64. What is the lowest common multiple of 5 and u(q)?
20
Let o be 112/(-1*(-6)/(-3) + 1). Let u = o - -114. What is the common denominator of (95/40 - u)/(-3) and 1/6?
24
Suppose -3*u = -26 + 23. Let j be (6/12)/(u/14). What is the common denominator of -19/8 and (-4)/(-14) + j/(784/290)?
8
Let b = 22433 + -1480441/66. Calculate the common denominator of b and -67/198.
198
Let a = -5/1768 + 52643/15912. Find the common denominator of 73/388 and a.
3492
Suppose -37*b + 28*b - 3458 = -23*b. What is the least common multiple of b and 1976?
1976
Let s(c) = -695*c**2. Let t be s(1). Let l be (-2)/(-18) + ((-2680)/36)/(-5). What is the common denominator of 2 - t/l*(-1)/4 and 17/54?
108
Let r(m) = -6*m - 247. Let j be r(-41). Calculate the common denominator of j + (-26)/(-4) - (91 + -90) and 1*-107*(-2)/28.
14
Let d be ((-76)/3504)/(21/14). Let a = -17765/77526 - d. Calculate the common denominator of -61/36 and a.
2124
Suppose -5*l + 476 + 242 = 3*r, -4*r - 2*l = -948. Calculate the smallest common multiple of r and 118.
236
Let z = -635 - -367. Let n = -26/4721 + -5216601/18884. Let i = z - n. What is the common denominator of i and -73/4?
4
Let x = -169778819/811 + 209345. What is the common denominator of x and 99/2?
1622
Suppose 0 = 99*b - 86*b + 3900. Let h = b - -304. Calculate the smallest common multiple of 84 and h.
84
Let p be ((-60)/9)/(3/9). Let v = p + 22. What is the smallest common multiple of v and 42/6 - (-1 + 0)?
8
Let h = 98/15 - 5507/960. Calculate the common denominator of h and (-3)/(-20)*201/(-18).
320
Let k = -9 + 6. Let n be (k + 3)*6/12. Suppose 2*u = -2*u + g + 36, n = -g + 4. Calculate the lowest common multiple of 10 and u.
10
Let c be -1*(4 + 155)*-10. Let r be (5 - 7945/c)*56. Let b = 12991/636 - r. What is the common denominator of b and -65/8?
8
Find the common denominator of (-77)/(-99)*9 - 821/110 and -74/35.
770
Let l be (-3 + 4)*-3 - (-193)/(-20). Let g = -47/30 - l. Calculate the common denominator of (6/144)/((-4)/270) and g.
48
Suppose -4*y = -y. Suppose 0*c - 4*c + 24 = y. Suppose 3*p - 63*f + 66*f = 99, -4*p + 3*f = -139. What is the lowest common multiple of c and p?
102
Suppose 50 = -0*m + 5*m. Let n(u) = -u**3 - 7*u**2 - 3*u - 14. Let y be n(-7). Suppose -7*i + y = -35. What is the smallest common multiple of m and i?
30
Let y = -2306827/2472 + 7467/8. Find the common denominator of y and -99/8.
2472
Let d(n) = -n**3 - 5*n**2 + 10*n - 1. Let t be (8/(-10))/((-4)/(-10)). Calculate the lowest common multiple of d(-7) and (-3)/(-6*t/(-72)).
54
Let j(t) = t**2 + t - 18. Let r be ((-8)/10)/(8/(-20)) + 3. Let d be j(r). What is the lowest common multiple of 3/d - 119/(-4) and 3?
30
Let b be 5/(165195/24)*(-54)/24. Let p = -47003/440520 + b. Calculate the common denominator of 19/16 and p.
240
Let c(n) = n**3 + 9*n**2 - 2*n + 1. What is the lowest common multiple of (-74)/(-8) - (15/(-20))/1 and c(-9)?
190
Let f = -25/3953 - 120205/2869878. Calculate the common denominator of f and 19/176.
5808
Calculate the common denominator of (4 - 654/162)/((-110)/(-3729)