 h = 408/103 + -27899/5665. What is the common denominator of (6/500*-18)/(34/(-255)) and h?
550
Let m(v) = -v**3 - 28*v**2 - 27*v + 2. Suppose -g = -4 - 3. Suppose 3*s + 72 = g*s. Calculate the lowest common multiple of m(-27) and s.
18
Let c = -983/3060 - 35/153. Let q = -295787/5390 - -2750/49. Find the common denominator of c and q.
220
Let s be -2*(2444/(-496) + (7 - 2)). Let j = 764/31 + s. What is the common denominator of j and -87/8?
8
Suppose -2*m + 152 = g, -3*m - 86 = -4*g + 511. What is the smallest common multiple of g and 2?
150
Let b(h) = h**3 - 3*h**2 - 2*h - 2. Let j = 306 - 296. Suppose 10*z - j = 90. What is the lowest common multiple of b(4) and z?
30
Suppose -2*z + 2*x + 7 = -7, -z = -4*x - 19. Let r = 1385 + -15215/11. What is the common denominator of r and 84/(-126)*z*-19?
11
Let t = -67 + 90. Suppose -13 = -6*v + t. Calculate the lowest common multiple of v and 15.
30
Let k = 46 - 30. Let a = 12349 + -12333. Calculate the least common multiple of a and k.
16
Let a = 18354607/76533405 - 2/346305. Calculate the common denominator of 47/91 and a.
1547
Suppose 6*u - 219 = 3*u. Let g = -70 + u. Suppose d = -7*y + 6*y + 38, -4*d = g*y - 116. Calculate the smallest common multiple of y and 40.
360
Let d(t) = 2*t**2 + 5*t + 2. Let q be d(-3). Suppose 0 = -2*v - 3*x + 42, 2*x + 63 = q*v - x. What is the smallest common multiple of 3 and v?
15
Let t = 22565/3 + -1737649/231. Find the common denominator of 103/462 and t.
462
What is the least common multiple of (6/3)/(0 - 4) + (-521737)/(-74) and 10?
7050
Let n = 572/61 + 929/610. Calculate the common denominator of n and 59/88.
440
Let r(d) = -d**2 - 17*d - 42. Suppose -6*y = 18*y + 288. What is the lowest common multiple of r(y) and 736?
6624
Suppose -6 = 51*k - 57*k. Calculate the least common multiple of 12 and ((-86)/215)/(k/(-120)).
48
Let m = -2487 - -3543. What is the common denominator of -61/60 and -886*8/m + 7?
660
Let r = 41 + 17. Let v be (-2 + -2 + 2 + 0)*-25. Suppose 2*b - 86 = -v. Calculate the least common multiple of r and b.
522
Suppose -3*j + 3 = 2*a + 15, 0 = 5*j - 4*a - 2. Calculate the lowest common multiple of (-5 + -1)/(j/6) and -1 - (6/39 + 3255/(-455)).
18
Suppose 304 = 3*v - 8*w + 13*w, 0 = 3*v + 3*w - 312. Suppose -5*j = -2*z + 17 + 7, 4*z + 5*j = v. Calculate the smallest common multiple of z and 36.
396
Let t = 321 - 314. Find the common denominator of (1812/(-42))/((-12)/t) and -20/71.
426
Suppose 12*d - 1231 - 460 = 733. Calculate the lowest common multiple of 14 and d.
1414
Calculate the common denominator of -41/240 and (3 + (-85)/25)*(-3030)/(-480).
240
Let g be 266/1260*-1*4755/(-348). Let h = g - 105/29. Calculate the common denominator of 101/84 and h.
504
Let z = -661675261/66900 + -397/5575. Let p = 9885 + z. Calculate the common denominator of p and 127/18.
36
Suppose -66 = 9*d - 1218. Calculate the common denominator of d/(-854) + (-3)/(-7) and 47/9.
549
Let l(v) be the first derivative of -v**4/4 - 3*v**3 + 11*v**2/2 + 4*v - 5. Let j be l(-9). What is the least common multiple of (-18)/(-42) + j/(-7) and 2?
14
Let n(a) = -5*a**3 - a**2 + 6*a + 3. Let h(s) = s**3 + 2*s. Let m(f) = -2*h(f) + n(f). Calculate the smallest common multiple of m(-2) and 75.
1275
Find the common denominator of (-70)/(-11)*(-2)/(-4) and 2 + 6 - (725/(-1925) - 1/(-11)).
77
Suppose 8*w - 2*f = 3*w + 417, 0 = -3*f - 3. Let j = 64 - 135. Let l = w + j. Calculate the lowest common multiple of 28 and l.
84
Calculate the common denominator of (-34)/(-136) + (-2132)/6320 and 34/5.
790
Let y = 13616 + -490225/36. Let w = 20/1233 - -7495/2466. What is the common denominator of w and y?
36
Let b = 30846/13 + -62225/26. What is the common denominator of ((-154)/(-128))/(1 + -2) and b?
64
Suppose -673*o = -678*o + 15. Calculate the least common multiple of 51 and 13 + (2 - 6 - o).
102
Find the common denominator of -117/952 and ((-2)/(-4) - (-24)/48)*(-665)/476.
952
Let y(b) = b**2 + 3*b - 5. Let l be y(2). Suppose l - 11 = -p. Calculate the common denominator of 85/18 and (p/((-432)/52))/(4/(-6)).
36
Let i = -2257861/7660 + 19/1915. Let w = -74233/252 - i. Let o = -3452 - -38003/11. What is the common denominator of o and w?
693
Let y be (7164/27 - -5)*5286/52. Let k = y - 27477. Calculate the common denominator of k and 37/12.
156
Calculate the lowest common multiple of (-1 + (-65)/(-25))*(104 - -6) and 52.
2288
Let f = -12276 - -110491/9. Find the common denominator of f and 81/1142.
10278
Calculate the common denominator of -55/82 and (109/5)/((132/70)/((-78)/(-364))).
1804
Let w = -3288 + 19591/6. Calculate the common denominator of -83/3316 and w.
9948
Let k = -21 - -368/15. Let c = 9313669/18 + -517425. What is the common denominator of k and c?
90
Let i be (-20 - -10)/(-5)*(-10)/(-4). Suppose 3*v + m - 42 = 0, -i*m = -4*v - v + 90. What is the smallest common multiple of v and 60?
60
Let g(w) = 7*w**3 + 3*w**2 - 2*w + 5. Let p be g(3). Let s = -37041/182 + 2604/13. Find the common denominator of s and p/100 + (-2 - -1).
140
Let d(r) = -10*r + 8*r + 4*r**2 + 24 - 5*r**2 + 20*r. Calculate the least common multiple of 30 and d(18).
120
What is the common denominator of 139/480 and (-3)/(-20)*(-26125)/1980?
480
Let k(z) = -z**3 - 2*z + 72. What is the least common multiple of k(0) and ((-26)/195 - (-62)/15) + 5?
72
Suppose 3*f - 1141 = b + 15, -3*b - 773 = -2*f. Calculate the least common multiple of 28 and f.
1540
Suppose -937*w + 945*w = 80. Calculate the least common multiple of ((-126)/w)/((-63)/210) and 14.
42
Let s = -4477/716 + 1/358. Let z = -322595/44 + 7332. Calculate the common denominator of s and z.
44
Let l = -65388559523/1464 + 44664320. Let h = l - -19/122. What is the common denominator of h and (-244)/(-80)*1 + -3?
120
Suppose 68*v - 155445 = -119*v + 881844. Calculate the least common multiple of 15 and v.
27735
Suppose -5*f = 163 + 22. Let n = f + 82. What is the least common multiple of 7 and n?
315
Suppose -216 = 4*n - 204. What is the common denominator of 181/30 and (1 - (n + 57/15))/(-5)?
150
Let h = -848 - -3464. Calculate the smallest common multiple of h and 33.
28776
Let i(o) = 5*o**3 + 127*o**2 + 38*o + 30. Calculate the least common multiple of i(-25) and 440.
1320
Find the common denominator of ((-845)/125 + 2)*(-1)/(-18)*-9 and -1 + (130/32 - 2).
400
What is the common denominator of (2 + (-52726)/7500 + 5)/(2/(-5)) and -7/200?
3000
Let s = -2520 + 2854. What is the lowest common multiple of s and 10?
1670
Calculate the common denominator of 5/(750/468)*(250/1965)/5 and 39/10.
1310
Calculate the common denominator of ((-9)/1914)/(-2 - (-880)/452) and 10/11.
1276
Let o = -8488 + 135743/16. Find the common denominator of o and (663/9 + -17)*3/12.
48
Let r = -259 - -295. Suppose 3*z - 5*o = -11, 2*z - 4*o + 3*o - 2 = 0. Let t = r - z. What is the smallest common multiple of t and 30?
330
Let k = 147 - -414. Calculate the smallest common multiple of k and 408.
4488
Let v be -2*((-3843)/18 + 7). Let q = 425 - v. What is the least common multiple of 135 and q?
540
Let s be 3*-1*6/36*-4. Calculate the common denominator of 1/(-4) - (-21)/(-24) and 1432/(-168) - s/(-3).
56
Suppose 12*i = 13*i - 2. Let p(c) = c**3 - 3*c**2 + 2*c + 1. Let w be p(i). Suppose -5*d = -41 + w. Calculate the smallest common multiple of 10 and d.
40
Let b be (3 - 17)/(-7) - 4. What is the least common multiple of 106 and (b - (-30)/16) + 715/88?
424
Let c = 2/928421 + -88200479/224677882. What is the common denominator of 113/1452 and c?
1452
Let k(z) be the third derivative of z**4/8 + 29*z**3/6 - 2*z**2 + 23. What is the smallest common multiple of k(-3) and 18?
180
Suppose 0 = l - 6*l - 20. Let c be l/(-7) + 9189/126. Let a = c + -74. Find the common denominator of a and 49/9.
18
Let h(c) = -2*c - 9. Let q be h(-6). Suppose -q*l - 36 = -24. Calculate the common denominator of ((-9)/(-5))/(l/(-45)) and 137/12.
12
Let i = 990644/147675 - 1812/275. What is the common denominator of -3/2864 and i?
8592
Let j = 21727 - 35202. Let n = 242627/18 + j. Calculate the common denominator of n and -58/25.
450
Let r = 7 - 5. Let i(p) = 4*p**2 - 2*p + 3. Calculate the least common multiple of (-17577)/(-1764)*16/6 - 9/(-21) and i(r).
135
Calculate the common denominator of -11