be (-5)/((-45)/2) + 207208/(-34146). Let m = f + -3/271. Calculate the common denominator of -4*(-1)/(8/(-76)) and m.
7
Suppose -2*o - 24 = -5*i, -2*o = -3*o - 3*i + 21. Let u(h) = -h**3 - 10*h**2 + 9*h - 13. What is the lowest common multiple of u(-11) and o?
9
Let n(v) = -2*v**3 + 2*v. Let c(z) = 9*z**3 - 4*z**2 - 18*z + 10. Let x(r) = -c(r) - 4*n(r). What is the least common multiple of x(5) and 5*1*(-2)/(-2)?
15
Suppose -4*d + 51 = -25. Let m = -38 - d. Let y = m - -63. Calculate the lowest common multiple of 86 and y.
258
Let s = 588720105 - 5291416318961/8988. Let k = -64/321 + s. Find the common denominator of k and -59/12.
84
Suppose 94*w - 92*w - 7*n = 356, -2*w + 396 = 3*n. What is the smallest common multiple of w and 32?
192
Let o(j) = -j**3 - 5*j**2 - 3*j - 7. Let r be o(-6). What is the common denominator of -13/20 and (r/25)/((112/(-35))/4)?
20
Let l = -30769 + 32025. What is the least common multiple of 2512 and l?
2512
Let h(u) = -1263*u + 64. Let g be h(-7). What is the common denominator of 3 + (-196)/68 - g/5610 and -103/36?
396
Suppose 3*u = -15*l + 12*l + 150, 2*u - 5*l = 58. Calculate the lowest common multiple of u and 1688.
18568
Suppose 0 = 2*w + 20*w - 528. Suppose -3*v - w = -6*v - 3*c, -3*c = -3*v + 48. Calculate the lowest common multiple of 30 and v.
60
What is the common denominator of ((-374)/(-495)*-1)/(18/(-5)) and (-142)/(-24) + ((-20)/2)/(-10)?
324
Let n = -10013 - -10082. What is the smallest common multiple of n and 552?
552
Let b = 1428 - 975. Let p = b - 713. Find the common denominator of 91/8 and (p/75)/((-2)/(-12)*2).
40
Let l be (443 - 0) + (-80)/16. Let k = 553/4 - 4499/32. Find the common denominator of 1/5 + l/160 and k.
32
Suppose -99 = 8*p + 13. Let a be -32*(5/10 + 0). Let x = p - a. What is the smallest common multiple of x and 18?
18
What is the common denominator of (-302)/(-48)*(-18)/(-99) and 18/(-24)*164/54?
396
Let g = -11398 + 1128361/99. What is the common denominator of g and 7198/(-1952)*6/33?
792
Let j(l) = l**2 - 22*l + 103. Let r(x) = x**2 + 31*x + 36. Let p be r(-30). Suppose 5*g - 27 = 2*g. Calculate the least common multiple of j(p) and g.
63
Let n(a) = -71*a - 16. Let w(f) = 71*f + 14. Let j(i) = -4*n(i) - 3*w(i). What is the lowest common multiple of 4 and j(2)?
164
Let n(o) = 82*o**3 + 6*o**2 - 3*o + 4. Let j be n(4). Suppose -h - 3*h - j = 0. Find the common denominator of 23/3 and (-6)/(-15) + h/360.
36
Let m = -45 - 25. Let j = -71 - m. Calculate the common denominator of -58/5 and j/((-12)/27)*46/(-12).
40
Let c be ((-6)/(-5))/(5/(-125)). Calculate the common denominator of 0 + -1 + (-71)/c and -4 + (-142)/(-16) + -3 - -3.
120
Let k be 33/4*19791290/(-15750). Let m = k - 22613/175. Let d = m - -10502. Calculate the common denominator of -5/22 and d.
132
Suppose -60*a + 49057 + 5663 = 0. Calculate the lowest common multiple of a and 34.
15504
Suppose 11*z + 11*z = -220. What is the lowest common multiple of (13*(0 - 2))/(z/20) and 6?
156
Let g(u) be the third derivative of -u**4/24 + 2*u**3/3 + 109*u**2. Let r = -3 - -3. What is the lowest common multiple of g(r) and 9?
36
Suppose 29*r + 36 = 32*r. Let c = -72 + 100. What is the smallest common multiple of c and r?
84
Suppose 0 = -10*f - 14*f + 12960. What is the smallest common multiple of f and 60?
540
Suppose 37*d - 597 = 2*d - 177. What is the least common multiple of 40 and d?
120
Suppose 4*a = y + 4621 + 162, -3*y + 4787 = 4*a. What is the lowest common multiple of a and 16?
4784
Let q(i) = 308*i**2 + 9*i + 106. Let y be q(-6). Let w = y - 133763/12. Calculate the common denominator of w and 15/8.
24
Let j = 32938 + -92061704/2795. Find the common denominator of -37/20 and j.
11180
Let f = 259 - 103. Suppose -f = -20*u - 6*u. What is the smallest common multiple of -2 + 1*9 + -1 and u?
6
Let m(x) = x**2 + 4*x - 9. Suppose -20*g + 105 = -95. Calculate the smallest common multiple of m(-7) and g.
60
Let t be (-30374)/(-12) + 16/(-4). Let j = 2534 - t. Calculate the common denominator of (-3 - 0)/((-22)/(-26)) and j.
66
Suppose 0 = -3*a + 5 - 2. Let n be -12 - (0 + 2 + 174/(-29)). Find the common denominator of a/(-3*n/93) and 23/11.
88
Suppose j + 5*v = -96 + 32, 63 = -2*j + 3*v. Let r = 42 + j. Calculate the smallest common multiple of 27 and r.
27
Let t = -89/565 - -14122/55935. What is the common denominator of -38/81 and t?
4455
Suppose -196*b = -203*b + 1078. Find the common denominator of (-24)/4 - (-875)/b and -50/3.
66
Let q be ((-55450)/312)/(-25) + (-2)/(-3). Let y = q - 113/13. Find the common denominator of 63/2 and y.
12
Let j = 32797 - 96833/3. Let u = 738 - 223. Let v = j - u. Find the common denominator of v and -32/9.
9
What is the least common multiple of 225 and ((-5)/(-6))/(142/5964)?
1575
Suppose 2*i = 3*i. Let a = 6347 + -50713/8. Find the common denominator of -1 - 55/8 - i and a.
8
Calculate the common denominator of (-18)/6435*11/((-66)/300) and 23/312.
3432
Let b be (-1)/(-2) + (1215/18)/(-9). What is the smallest common multiple of (72 + 4)*(-6 - b) and 11?
836
Let k be (2 + -1)/(-1 + (-177)/(-174)). Suppose 3*f + f = 5*i + k, i + 38 = 3*f. Let g = 2 - 0. What is the smallest common multiple of g and f?
12
Suppose 165 + 555 = -6*b. Let t be 2/(-20)*-5*b/(-2). Calculate the common denominator of 65/46 and (-1 - -2)/(40/t).
92
Let s be 4 - (-12)/9*3 - 4. Suppose 0 = s*n + 5*p - 425, -4*n + 433 + 16 = -3*p. Calculate the least common multiple of n and 40.
440
Suppose -42*o - 32*o + 63*o + 539 = 0. What is the smallest common multiple of o and 15?
735
Let h(l) = -13*l + 414. Let y be h(22). Suppose 3*v - y = -5*v. What is the least common multiple of v and 88?
176
Suppose 3*l + 624 = 16*l. Suppose -6*d - 2*d = -l. What is the lowest common multiple of ((-50)/(-15) - (-4)/d)*2 and 6?
24
Let g be (-10)/(-60)*54966/8. Let y(q) = 142*q - 17. Let f be y(-8). Let t = f + g. What is the common denominator of t and 38?
8
Suppose -5*x = 4*j - 37, 3*x + 696*j - 697*j = 12. Calculate the least common multiple of 1407 and x.
7035
Calculate the common denominator of 115/742 and (-36)/(-33) + 7 + -9.
8162
Let m = -1724599/21878428 + 33/43238. Find the common denominator of m and 117/644.
7084
Let g = -24646 - -1084453/44. Calculate the common denominator of g and 59/92.
1012
Suppose 2*k = -3*n + 24, -5*k - 5*n - 71 + 121 = 0. Suppose -33 - 5 = -2*y. Calculate the lowest common multiple of k and y + 3 + (-2 - -2).
66
Suppose -90 = -110*n + 1010. Calculate the least common multiple of n and 1010.
1010
Let c = -678 + 964. Let k = 619/2 - c. What is the common denominator of k and -35/16?
16
Let v = 32 - -15. Let l = v - 43. What is the common denominator of -34/33 and (-11)/(-54) - l*(-1)/(-8)?
297
Suppose 3*h + 122 = 4*y, 3*y = -3*h + 2*h - 32. Suppose 2*p = 0, -2*n - 51 = -2*p + 73. Let r = h - n. Calculate the smallest common multiple of r and 10.
120
Let i = 98 + 80. What is the common denominator of 22 + -22 - i/4 and -57/20?
20
Let r = -12314 - -344893/28. What is the common denominator of r and 85/208?
1456
Find the common denominator of 26/73 and 104/1456 - 1293/(-126).
219
Calculate the smallest common multiple of ((-248)/(-24) + -17)/((-2)/3) and 250/20*(-16)/(-10).
20
Let c be (-2)/8 + (-15422774)/8. Let t = 11538385/6 + c. Let y = 4801 + t. What is the common denominator of 8 and y?
6
Let y be (3 - 0/3) + (114 - 3). What is the common denominator of -49/33 and 24/(-6) + 580/y?
627
Let d = -28315 + 283109/10. What is the common denominator of d and (-4)/(-20) - (-519)/(-1970)?
1970
Let w = 78860173/40296 + -45012/23. What is the common denominator of -99/164 and w?
71832
Let a(y) = 4*y**2 + 1. Let u(b) = b - 1. Let l(d) = -4*d + 5. Let x(c) = -l(c) - 3*u(c). What is the lowest common multiple of a(1) and x(9)?
35
Let p = -15497 + 16080. What is the smallest common multiple of 2120 and p?
23320
Suppose -u + 20*s = 21*s - 8, -8 = -4*s. Let m be (1 - (-1 + 1))*62. Let a = -23 + m. What is the least common multiple of u and a?
78
Let k = -239 + 296. Let v = -24 + k. What is the lowest common multiple of v and 15?
165
Let y be (-12)/(-60) + (-50012)/1260. Let q = y + 334/7. Calculate the common denominator of q and -53/46.
414
Let n = -25646/11 + 3078851/1320. Find the common denominator of -61/680 a