 - -8). Let v = n + -518701/1352820. Find the common denominator of v and 79/84.
420
Let a = 3988470 - 15355609361/3850. Find the common denominator of a and 57/20.
7700
Suppose -5*q + 5*v = 118393 + 30817, 0 = q + 4*v + 29832. Let t = -1879861/63 - q. Find the common denominator of t and 61/36.
252
Let t = -22 + 37. Find the common denominator of ((-10)/(-4))/((-168)/16) and t/18*(-194)/10.
42
Let q(y) = y**2 + 83*y - 263. Calculate the smallest common multiple of q(8) and 279.
1395
What is the common denominator of 113/1476 and (726/(-960))/((-1271)/124)?
14760
What is the common denominator of 39/32 and 7/(-21) - (-735)/1848?
1056
Let s = -12292 + 13413. Calculate the lowest common multiple of s and 472.
8968
Suppose -4*q = -8*q + 12. Suppose -q*u - 4*j = -j - 18, -2 = j. Let v(x) = -x**3 + 7*x**2 + 9*x. What is the least common multiple of 5 and v(u)?
40
Let i(p) = -2*p**2 + p - 3. Let a(b) = 2. Let y(t) = 3*a(t) - i(t). Calculate the lowest common multiple of 48 and y(-7).
912
Let n = -1301433 - -1317050305/1012. Calculate the common denominator of n and 21/22.
1012
Suppose 139 = 44*l - 812 - 9081. Calculate the lowest common multiple of 2204 and l.
6612
Let h be ((-12)/14)/(5/(-70)). Let l = -21 - -5. Calculate the common denominator of 47/6 and l/24 + 233/h.
12
Suppose 2*p - 75 = 8*i - 7*i, 0 = -p - 5*i + 21. What is the smallest common multiple of 555 and p?
6660
Let s = -8872861470617439/95108 + 93292482972. Let l = -362/403 - s. Find the common denominator of -139/18 and l.
2124
Let a = -3 + 11. What is the least common multiple of (-1 - -8) + 259 + -260 and (12/(-5))/(a/(-140))?
42
Let w = 937117/7075500 + 22/14151. Calculate the common denominator of w and 97/170.
8500
Suppose -2*k + f = 35 - 37, -3*k = 4*f - 36. Calculate the smallest common multiple of 2248 and k.
2248
Let j(k) be the second derivative of 11*k + 0 + 6*k**2 + 1/3*k**3. Calculate the least common multiple of 12 and j(4).
60
What is the common denominator of 53 + -51 + (2798/(-2778) - 1) and 13/9?
4167
Suppose -88*l - 930 = -83*l. Let c = -166 - l. Calculate the smallest common multiple of c and 30.
60
Let v = 45927/10 + -20254/5. Let g = -547 + v. Find the common denominator of g and ((-54)/(-16))/((-10)/(-4)).
20
Suppose 3*l + 2*m = 33, -3*l + 142*m - 141*m = -24. Let w(o) = 2*o**3 - o**2 - 2*o + 2. What is the lowest common multiple of w(2) and l?
90
Suppose 13*z - 2*i = 269, -2*i - 160 = -5*z - 59. Calculate the smallest common multiple of 77 and z.
231
Suppose 468 = 6*q - 2*r, 26*r = -2*q + 29*r + 142. Suppose 0 = 2*u + 1 - 5. Calculate the least common multiple of u and q.
80
Let s = -12 - -14. Suppose 0 = s*u + 4*y - 230, 65 + 377 = 4*u + 2*y. Let b = u + -73. What is the lowest common multiple of b and 10?
180
Calculate the common denominator of (4/((-912)/9))/((-84)/(-2744)) and (3 - 6) + (-24)/15.
190
Suppose 0 = 26*a - 3*a + 9*a - 288. What is the least common multiple of a and 310?
2790
Suppose -62*t - 117*t = -3222. What is the lowest common multiple of 18 and t?
18
Suppose 3*y = 57 + 3. Suppose -23*u + 18*u = -25. Suppose 0 = u*t + 2*b - 110, -2*t + b + 24 + 11 = 0. Calculate the least common multiple of y and t.
20
What is the common denominator of 2 + (-108)/57 + 95697/14136 and -67/2387?
19096
Let b(c) = c**2 - 19*c + 5. Let p be b(19). Suppose -2*t + 62 = -p*h, -2*t - 2*t - h = -80. Calculate the smallest common multiple of t and 21.
21
Let d = 338458981/36 - 9385962. Suppose 55117 = -4*j + 4*u - 7619, -2*u = -4*j - 62728. Let z = j + d. What is the common denominator of -81/22 and z?
396
Let j(d) = -3*d**3 + 28*d**2 + 32*d - 16. What is the lowest common multiple of j(10) and 4 + -2 - (3 - 5)?
104
Calculate the common denominator of 121/2700 and (-22300)/(-37800) - 15/6*18/75.
18900
Suppose -46 = -2*b + 4. Suppose m + 37 = 4*y, 3*y + 8 = 5*m + 23. What is the lowest common multiple of b/y + (-9)/(-6) and 36?
36
Let p(w) be the second derivative of -w**5/20 + 13*w**4/6 - 11*w**3/6 - 35*w**2/2 - 2*w + 146. What is the least common multiple of 2 and p(24)?
1706
Suppose 27*a - 7550 = -5*h + 25*a, 1522 = h - 2*a. Let p = 42297/28 - h. Calculate the common denominator of p and -13/76.
532
Suppose 4*n + 11726 - 11998 = 0. What is the least common multiple of 4233 and n?
16932
Let g = 129 + -127. Calculate the common denominator of (-76)/8*-5 - (g + 2) and 95/22.
22
Suppose 3 + 6 = -3*h, 0 = -4*q - 2*h + 46. Suppose 152 = -12*p + 212. Calculate the smallest common multiple of p and q.
65
Suppose 2*p - 170 = -2*m, 37 + 98 = 2*m - 5*p. What is the least common multiple of m and 1416?
14160
Let k = 6211 + -5819. What is the lowest common multiple of 245 and k?
1960
Let w be (-9)/(((-45)/(-6))/(-5)). Let a be w/(-9) + 2/(-6). Calculate the common denominator of -59/6 and 3/12 - a/(-19).
228
Let p be (79/(-4))/(1/(-16)). What is the smallest common multiple of 10/(-5 + 0) + 8 and p/10 + (-8)/(-20)?
96
Suppose 4*r - 5*p = 28672, 4*r - 45641 = 2*p - 16957. Calculate the smallest common multiple of r and 4.
28692
Let a = 12958 - 9527. What is the lowest common multiple of a and 292?
13724
Let s = -8867 + 8953. Let q be 87 + 3/((-3)/1). Suppose 4*a = q - 22. Calculate the smallest common multiple of s and a.
688
Let n(c) = -57*c - 881. What is the smallest common multiple of n(-44) and 5?
8135
Let f = 458011/30 + -15263. Calculate the common denominator of -127/6 and f.
30
Let v = -5 + 5. Suppose -5*b + v*o + 49 = 2*o, -2*o = b - 13. Suppose -7*z - 2*n = -3*z - 90, -3*n + 115 = 5*z. What is the smallest common multiple of b and z?
180
Suppose 0 = -22*o + 23*o - 2*v - 680, -3*v - 24 = 0. Calculate the least common multiple of 1411 and o.
11288
Let z(k) be the first derivative of -k**3/3 - 5*k**2 - 13*k + 56. What is the smallest common multiple of 5*(-1 + (-11)/(-5)) and z(-3)?
24
What is the common denominator of -29/3630 and (-1976)/(-5824)*49/(-14)?
29040
Let o = -20005/9 - -2230. Let x = -6/1063 + -48772/22323. Find the common denominator of o and x.
63
Let x = -25942 + 570821/22. Calculate the common denominator of x and 85/844.
9284
Suppose -12*d = 23 - 443. Let c = 1051/21 + -222/7. What is the common denominator of ((-41)/(-4))/(-7*d/(-98)) and c?
30
Let x = -11088 + 6885. Let b = 537973/128 + x. Find the common denominator of 91/36 and b.
1152
Let h be -4 - (9226888/13920)/(-11). Let t = 1661/29 - h. Find the common denominator of t and -3/20.
60
Let w be 16 + 17 - (-2 - (-1 - -2)). Suppose -2*h - 3*j + 26 = 0, 3*h - 5*j - 22 = w. Calculate the smallest common multiple of 4/(-10)*(-25 + -5) and h.
48
Suppose -5*r + 97 = f, f - r = 4*r + 127. What is the smallest common multiple of 80 and f?
560
Let u be (-3 + (-1010170)/(-16))*(-4 - 2). Let q = u - -375423. Let m = 3393 + q. Calculate the common denominator of m and -1/8.
8
Let u = 4/13 + -67/260. What is the common denominator of -18 - (-16 - 442/312) and u?
60
Let d be 15*(-1 - 14/3). Let f = -549 + 643. Let n = f + d. Calculate the smallest common multiple of 15 and n.
45
What is the common denominator of ((-17)/2 + 2)/(-2) and 1/3 + (1216/(-336) - 5)?
28
Let z = 32165831/363 + -88611. Calculate the common denominator of -149/138 and z.
16698
Suppose 770 = 5*a + 3685. Calculate the common denominator of a/(-990) + (-1)/3 and (164/60)/(-3*(-6)/45).
90
Let b = -163349043/644 - -253645. Let m = 73/28 + b. Calculate the common denominator of m and -13/49.
1127
Suppose 0 = t + 4*s - 641, 5*t + 3*s - 3265 = -2*s. Let k be t/(-12)*8/(-6). Let p = -37 + k. What is the least common multiple of 1 and p?
36
Suppose -2 = -3*c + 3*f + 10, c - 2*f = 3. Find the common denominator of -27/161 and c/(-2)*(-702)/(-81).
483
Let g be (-2)/(-5) + (-90237)/(-420)*16. Let c be (1/5)/(18/(-309545)). Let v = c + g. What is the common denominator of 71/30 and v?
90
What is the common denominator of -97/8 and (-72708)/488808*(-2)/((-16)/(-6))?
744
Calculate the common denominator of (-55)/(-1830)*(2 + (-42)/48) and -23/10.
4880
Let a(o) = -2*o**3 - 145*o**2 + 73*o + 8. Suppose -165 = -5*h + 4*g + g, 0 = -2*h - 2*g + 46. Calculate the least common multiple of a(-73) and h.
56
Let k be 15/(-140)*-4 + (-750111)/(-168). Let q = k - 4475. Calculate the common denominator of -13/14 and q.
56
Suppose -178*t + 684 = -216*t. Calculat