d (80 + -41)*(-1)/10.
10
Find the common denominator of (-475)/190 + (34/18 - (1 - 2)) and 79/820.
7380
Suppose -6*r + 10*r - 8 = 0. Let q be ((-75)/(-6) - 4)*r. Suppose -t - 9 + 27 = -2*u, u + q = t. What is the smallest common multiple of t and 8?
16
Suppose -14*j - 411 = -46*j + 229. What is the smallest common multiple of 110 and j?
220
Let o = -22605 - -23205. Calculate the lowest common multiple of 600 and o.
600
Let c(q) = q**2 + q + 9. Let x be c(-6). Suppose 4*r = x + 5. What is the least common multiple of r and 6?
66
Let v = -15438 - -18563. Calculate the least common multiple of 10 and v.
6250
What is the lowest common multiple of 22 - ((-30)/75 - (-16)/(-10)) and 102?
408
Suppose -6*m + 2916 = -2*h, 300*m + 2*h = 297*m + 1476. Calculate the lowest common multiple of m and 16.
976
Let a = -5947/22 + 5197513/19228. Find the common denominator of 113/228 and a.
5244
Let i = 544 + 168. Calculate the common denominator of i/(-54)*(-42)/(-112) and 101/282.
846
Suppose -340 + 28454 = 119*x + 5742. What is the least common multiple of x and 222?
20868
What is the common denominator of 9/(-35) - ((-26)/(-30) - (-2)/6) and 191/546?
2730
Suppose -100*i + 115*i = -3375. Find the common denominator of 50/i - 29/288 and -113/30.
480
Suppose 2*z = 2 + 2. Calculate the common denominator of 3 - -214*z/(-32) and (-2 + 9 - 0/(-9)) + 1428/(-192).
16
Let q be (0 + -3)*(-255)/9. Let o(x) = -x**3 - 9*x**2 - 5*x + 12. Let j be o(-4). Find the common denominator of (-4)/(j/q) + 2 and 121/12.
12
Let d be 47 + (0 + 0 - -1). Let c(t) = 119*t + 1555. What is the smallest common multiple of (3/(-4))/((-3)/d) and c(-13)?
24
Suppose -37024 = 10*h - 7394. Let s = 26617/9 + h. Calculate the common denominator of (654/60)/((-22)/5) and s.
396
Calculate the common denominator of (111/(-4))/(385/(-154)) and 133/366.
1830
Suppose -7*m + m + 30 = 0. Let z(u) = -u**3 + 7*u**2 - u - 17. Let w be z(m). Find the common denominator of -115/36 and w/(-10)*175/(-320).
288
Find the common denominator of (-7272)/162 - -45 - (1 + (-311)/180) and -119/100.
900
Let l = -41 - -69. Let d = 109 + -90. Suppose 0 = t - 3*u - d, 5*t + 4*u = 4*t + 12. What is the smallest common multiple of t and l?
112
Let h(g) = -9*g - 240. Let s be h(0). Find the common denominator of -31/11 and -3*((-12)/20 - (-646)/s).
88
Find the common denominator of 10/(-696)*-143*(-2)/(-5) and 101/696.
696
Suppose 3*f - 2*i + 11 = 93, -3*i - 48 = -2*f. Let r be ((-339062)/(-92280))/(f/(-99)). Let x = -2/19225 - r. Calculate the common denominator of x and -41/95.
760
Let s(p) = -p**2 + 14*p + 2. Let k be s(14). Calculate the common denominator of 59/32 and 2805/(-544) + 10/k.
32
Let q be ((-6)/8)/(609/164198). Let f = q - -203. What is the common denominator of f and 91/38?
266
Let y(p) = -p + 25. Let x be y(21). Let q be -5 + x - -29 - 4. Calculate the common denominator of 67/28*q/240 and -23/6.
840
Let p = 2/4481 + 246449/13443. Let a = 345619/91875 - -2/30625. Calculate the common denominator of p and a.
21
Let b = -99737/199490 + -4/99745. Suppose -309 = -4*p + 3*a, 2*a + 42 + 264 = 4*p. Find the common denominator of 2/2 - 72/p and b.
50
Let f(s) = 2005*s - 437. Calculate the least common multiple of 3970 and f(2).
35730
Suppose w = -5*y - 5, 0 = 2*w - 2*y - y + 75. What is the lowest common multiple of 30 and 4/10 - 1338/w?
90
Suppose -7*z + 297 = 55*z - 199. What is the lowest common multiple of 144 and z?
144
Let y be -2*(2 - 140865/(-39366)) - -3. Let b = y + 525887623/72131634. Let i = 58/239 - b. Calculate the common denominator of i and 59/16.
368
Let x be 2/14 + (-16)/84*48. Let m be (1 - 1)/(7 + x). Suppose -5*q + 2*q - 2*t + 24 = m, 3*t - 27 = -3*q. What is the least common multiple of q and 15?
30
Calculate the common denominator of 7208/6048 - 10/4*424/795 and -43/224.
6048
Let a(u) = 12*u**2 - 64*u - 65. What is the least common multiple of 9 and a(-1)?
99
Let k = 1611 - 1161. Calculate the lowest common multiple of 90 and k.
450
Let i(n) = -n**3 - 19*n**2 + 4462*n + 84786. Suppose -3*z + 7 = -2*w - 0, 0 = 3*z - 5*w - 22. What is the least common multiple of i(-19) and z/1 - 9/(-1)?
8
Suppose -7*m + 626 = -32. Let z = m - 84. What is the lowest common multiple of z and 11?
110
Let d(i) = 32*i - 8. Let u be d(4). Suppose 280 + u = 20*z. What is the lowest common multiple of 48 and z?
240
Let h be (-1 - (-2)/1)*90/5. Suppose h*j = 51*j - 5016. What is the least common multiple of j and 14?
1064
Let n = -620030503/1062 + 583833. Calculate the common denominator of n and 143/3186.
3186
Suppose 0 = -g - 6 - 2, 4*g = u - 944. What is the lowest common multiple of u and 1520?
4560
What is the common denominator of 13/(318240/100212) + 0/(-1) + -4 and -115/408?
2040
Let d(k) = k**3 - 5*k**2 - 6*k**2 + 30 + 0*k**2 + 0*k**3 + 15*k. Suppose u = 4*f - 76, f = -2*f + u + 56. Calculate the lowest common multiple of d(9) and f.
60
Let r(w) = 4*w - 26. Let y be r(7). Find the common denominator of (y/8)/(30*(-6)/3624) and -49/12.
60
Suppose q - 5*q = 3*k + 711, 0 = 5*q - k + 865. Let d = -169 - q. What is the least common multiple of 20 and d?
20
Suppose -5013 + 929 = -4*y. Let g = -9199/9 + y. Suppose 2*m + 2*c - 80 = -m, 92 = 4*m - c. Calculate the common denominator of g and m.
9
Find the common denominator of 6 + -5 - 127*(2526/840 - 3) and -71/98.
980
Let z(p) be the first derivative of -p**3 - 4*p**2 + 9*p - 8. Let t(y) be the first derivative of z(y). Calculate the lowest common multiple of 10 and t(-3).
10
Let c = 3504 + -3290. What is the lowest common multiple of c and 12?
1284
Let k = -422 + 416. Calculate the lowest common multiple of 0 - (k/(-21) + (-594)/21) and 63.
252
Suppose 2*r + 37 - 41 = 0. Find the common denominator of (-4)/72*(-303)/r and -65/108.
108
Calculate the common denominator of 9 + -6 + 7502/(-1584) and 25/72.
72
Calculate the common denominator of (-39)/(-36)*2/461 and 2 - ((-78)/(-1248))/((-3)/(-2328)).
2766
Let d = 1126217816451357/114920 + -19600031613/2. Let c = d + 1/5746. What is the common denominator of -35/6 and c?
120
Let t(c) = -c**3 - 6*c**2 + 16*c - 168. Calculate the lowest common multiple of 168 and t(-10).
504
Let x = -28 + 44. Suppose 39312*w - 1520 = 39274*w. What is the least common multiple of x and w?
80
Let m = -10800 + 10903. Let s be (-2 + 1)/(4/(-76)). Suppose 0 = -5*x + 2*k + m, 5*x - 91 = -5*k + s. Find the common denominator of x and 49/5.
5
Let g = -16237 + 487117/30. Find the common denominator of g and -13/1946.
29190
Let l = -35131/580 + 1584/29. Let f = 2312/5 + -459. Find the common denominator of f and l.
20
What is the common denominator of (2 - 2922/(-1188)) + (-20)/5 and -23/297?
594
Let o be (-1)/((-1924)/1926 - (-2 - -1)). Let g = o + 972. Calculate the smallest common multiple of g and 5.
45
Suppose -71 = r + 162. Let l = -212 - r. Calculate the lowest common multiple of 27 and l.
189
Suppose 5*y + 12*s = 134, 4*y - 3*s - 28 + 9 = 0. What is the smallest common multiple of y and 1144?
5720
Suppose -25*l = -47*l - 24*l + 287316. Calculate the least common multiple of 45 and l.
31230
Let d(r) = -r**3 + 11*r**2 - 14*r + 13. Let x be d(10). Suppose 57*h - 532 = -76*h. Calculate the smallest common multiple of h and x/(-5) + 12/20.
12
Suppose -3*u = 5*t - 1427, -2*u - 4*t - 62 = -1014. What is the lowest common multiple of 1896 and u?
1896
Calculate the smallest common multiple of 40 and -8 - 32500/(-75) - 2/6.
3400
Suppose 30 = 3*t + 7*t. Let r be (-86)/(-6) - t/9. Suppose -12*l = -r*l + 2. Calculate the smallest common multiple of 1 and l.
1
Calculate the common denominator of 3/82 and (-1*1/3)/(-8 + 46132/5757).
164
What is the common denominator of 11/24 and (-234)/12*((-10)/(-4) - (-708)/(-288))?
48
Suppose -c - 3*k = 5, -2*k - 35 = -5*c + 3*k. Let o be (84/c)/(3/(-4)). Let t = -14 - o. What is the lowest common multiple of 6 and t?
42
Let g(b) be the third derivative of b**5/60 - b**4/8 + b**3/3 - 8*b**2. Suppose -3*o = -5*o - 0*o. Calculate the smallest common multiple of g(o) and 18.
18
Let l = -3 - -25. Let p = -5851 - -5857. Calculate the smallest common multiple of l and p.
66
Let j(n) = -4*n**3 - 19*n**2 - 15*n - 6. Let p(y) = y - 5. Let o be p(-8). Let v be j(o). Calculate the common denominator of (-1)/(252/v) + 2/(-7) an