
52
What is the common denominator of 3/(165/448) + 257 + -264 and -109/10?
110
Suppose 4*s - 1035 = -r - 73, 0 = -2*s - 2*r + 484. Suppose -3*z + s = 3*z. Let y = -438 - -458. What is the lowest common multiple of z and y?
40
Let w(p) = -2*p + 46. Let c be w(21). Let a(q) = -5*q + 9. Let y be a(c). Let l = y - -29. Calculate the lowest common multiple of 12 and l.
36
Find the common denominator of 217230/1919736 - (-6)/(-63) and -11/20.
5860
Suppose 2*u + 9*p - 13*p + 6 = 0, -5*u = -5*p. Calculate the least common multiple of 153 + (u + 2 - 2) and 16.
624
Suppose -9*x + 6*x = 5*y - 14, -2*x + 2*y + 52 = 0. Calculate the lowest common multiple of (-6)/(-9) - (-82)/3 and x.
252
Let s be 1/(-4)*5/(2100/13136). Let r = s + 68/15. Find the common denominator of r and (-1)/5 - 14/(-45).
63
Suppose -4*w + 10*w = -12*w. Suppose w = -5*z + m + 119, -5*z - 64 + 187 = 3*m. Calculate the least common multiple of 40 and z.
120
Suppose -7*r + 27 = 13. Suppose -20 = r*q - 44. Calculate the lowest common multiple of 81 and q.
324
Let f = -254 + 310. Find the common denominator of (-12)/18*(-372)/f and 13/149.
1043
Let g be 204/(-21)*294/(-28). Calculate the common denominator of 17/47 and g/(-18) + 5 + 614/48.
376
Let i = -8786 - -8798. Suppose y = 2*w - 3*y - 4, w = -2*y + 10. What is the lowest common multiple of (12/10)/(w/80) and i?
48
Let t = -22 + 256. Find the common denominator of 133/60 and 4 - (t/40 + -6).
60
Let m = -920052 - -22076729/24. Let z = m + 560/3. What is the common denominator of z and -38/511?
4088
Suppose -6*w + 2*w = 0, 5*r - 5*w = 5. Suppose -4*k = -r - 7. Let y = k + 14. What is the least common multiple of 2 and y?
16
Let k(c) be the third derivative of c**4/12 + 8*c**3/3 - 3*c**2. Let i be k(-7). What is the least common multiple of 2 and ((-12)/5)/(i/(-10))?
12
Suppose y = -2*r - 2*r - 672, 3*r = -12. Calculate the common denominator of -67/9 and 4/7 - y/126.
9
Let y = -185824877/7066192204 + 1/2477627. Find the common denominator of 111/620 and y.
14260
Let s(w) = -w**2 + 13*w - 16. Let o be -3*((-1)/(-3) - 4/3). Suppose -o*v + 23 = -10. Calculate the least common multiple of s(v) and 12.
12
Let h(c) = 3*c**3 - 5*c**2 - 17*c + 21. What is the smallest common multiple of 1764 and h(3)?
1764
What is the common denominator of 5/6 and (-4619)/3708 + 295/236?
1854
Let x(p) = p**3 + p**2 - 2*p + 3. Let g = 474 - 462. Suppose 23*y - g = 19*y. What is the smallest common multiple of x(2) and y?
33
What is the common denominator of -43/108 and (1560/(-18) - 2)*3/(-4416)*-8?
2484
Suppose -5*b - 3*m + 172 = 0, -5*m + 128 = -2*b + 203. What is the smallest common multiple of 70 and b?
70
Suppose -107 - 217 = 6*z. Let h = 73 - z. What is the smallest common multiple of 3 and h?
381
Let l be 22/(-165) - 24666/(-45). Suppose -553*d + 225 = -l*d. Calculate the smallest common multiple of 40 and d.
360
Let h(g) be the first derivative of -2*g**3/3 - 7*g**2/2 + 21*g - 68. Calculate the lowest common multiple of 76 and h(-5).
228
Calculate the common denominator of ((-102)/(-99))/(((-200)/30)/5) and (-138)/44 - (-2 - -2).
22
Suppose -6*x = -719 - 211. Find the common denominator of 143/24 and (-4 + x/7)/((-12)/(-7)).
24
Let o(s) = -3*s**2 + 26*s - 4. Let t(y) = y**2 + y + 1. Let j(k) = -o(k) - 5*t(k). What is the lowest common multiple of j(-15) and 2?
14
Let m = 20 + -22. Let r = 41 + -37. Calculate the common denominator of 53/6 and 4/m*(r - (-446)/(-48)).
12
Suppose -4*l - 38 + 182 = 0. Suppose -12*h + 21*h = 29*h - 162 - 58. Calculate the lowest common multiple of l and h.
396
Find the common denominator of 19/4 and -7 + 1085/(-14010)*-91.
5604
Suppose 4*u - 48 + 4 = 0. Let l = -13 - 3. Let x = l - -18. Calculate the smallest common multiple of u and x.
22
Let o = -118661/576773 - -2/7901. Let z = 2779/1752 - o. Calculate the common denominator of -85/6 and z.
24
Let d = 1831 - 1681. What is the smallest common multiple of 2850 and d?
2850
Let q = 229395/41276 - -3/2428. Let o = q + -1639/119. What is the common denominator of o and -17/252?
252
Suppose 5*b = -0*b + 20, b = 4*c - 168. Suppose 3*k - 5*k = -8. Suppose -5*g + c = 4*s, -2*s - k*g + 47 = 3*s. Calculate the least common multiple of 3 and s.
21
Suppose 10*r + 35152 = 36*r. Let f = r + -5377/4. Let a = 143291/10 + -14317. What is the common denominator of a and f?
20
Suppose 785 = -8*j + 25*j + 20. What is the smallest common multiple of j and 185?
1665
Let y = 19333/9226 - 1/3954. Find the common denominator of y and 6/(-108)*(-176)/(-24).
189
Let h(m) = -5*m**3 + 2*m - 1. Let u be h(1). Let z be 1473/(48/(-60)*10/u). Let k = z + -716. Calculate the common denominator of -61/4 and k.
4
Suppose -1004 - 781 = 7*w. Let x = w - -375. Calculate the lowest common multiple of 140 and x.
840
Let a(q) = -q**3 + 23*q**2 + 15*q - 338. What is the least common multiple of 567 and a(23)?
567
Let w(i) = -2*i**3 - 2*i**2 + i + 2. Let a be w(-1). Let k(b) = 7 + 0 + a - 11 - 12*b. Calculate the smallest common multiple of k(-1) and 10.
90
Let g(b) = b**3 + 10*b**2 + 21*b - 11. What is the lowest common multiple of g(-4) and 263?
263
Let c = 249532669/1246 - 200267. Find the common denominator of -163/84 and c.
7476
Suppose -9*y = -80 + 242. Find the common denominator of 79/34 and 4/y + (-2766)/2160*-4.
170
Let l be (-36)/(6/(-9)*9/(-147)). Let t = 87399 - 259489/3. Let z = t + l. Find the common denominator of -62/9 and z.
9
Suppose 3*z = 6*z - 159. Let k = z + -5. What is the least common multiple of k and 6?
48
Suppose -31*v + 207 = -8*v. Suppose 8*h - 306 = -v*h. What is the smallest common multiple of 54 and h?
54
Let r be ((-2)/3)/(1/(-18)). Suppose -5*h = 5, 7*n = 2*n + 5*h + 40. Calculate the least common multiple of 9 and r/28 - (-60)/n.
9
Let z be 535/(-3 - (-224)/76). Let u = -274493/27 - z. Let s = 41669/30 - 1389. Calculate the common denominator of u and s.
270
Let u(f) = -8 - 5 - 51*f + f**3 + 6*f**2 + 5*f + 22*f. Let y be u(-9). What is the common denominator of 2/(y/12) - (-128)/(-270) and -23/18?
54
Let d = 1987 - 1984. Let q be (-106)/10 + 6/10. What is the common denominator of ((-83)/d)/(q/(-3)) and -1/6?
30
Find the common denominator of ((21/(-35))/(9/(-185)))/((-20)/(-3)) and (-6)/4 - 58/(-18).
180
Let a = -569223 + 218581759/384. What is the common denominator of a and 115/72?
1152
Suppose 10*r - 15*r = -70. Suppose 12*o - r*o = -4. Suppose -4*b + a + 11 = -28, o*b + 3*a = 9. Calculate the smallest common multiple of 4 and b.
36
Suppose -5*j - 10800 - 1160 = -5*u, 10 = -2*j. Let y = u - 69250/29. What is the common denominator of y and 4/29?
29
What is the least common multiple of 352 and 2*5 - 708/(-15 - -9)?
1408
Let c be 5 - 3 - 140/(-5). Suppose -18*q + c*q - 756 = 0. Calculate the smallest common multiple of 91 and q.
819
Let w(u) = 2*u + 12*u - 605 + 553. What is the least common multiple of w(5) and 2?
18
Let u be (629/2)/(2/(-48)). Let j = 8820155/42 - 404915/2. Let b = j + u. Find the common denominator of b and 50/27.
189
Suppose -5*h + 981 = -3*t + 232, 3*h = 5*t + 459. Let f = h + -67. Calculate the common denominator of (2 + f/(-33))*8 and 47/16.
176
Suppose -7 = -3*j + 2*n, 5*j - 18*n - 14 = -17*n. Suppose -2*u - 16 = -4*w, u - 8*w = -7*w - j. Calculate the least common multiple of 16 and u.
16
Let s = 24887/15422 + -16/701. Find the common denominator of s and 53/5324.
5324
Let i = 218 + -221. Find the common denominator of 44/3 and ((-1539)/261 + 6)/(i/(-25)).
87
Let v = 467 - 472. What is the common denominator of -25/4 and (v/(15/(-3)))/(-63)?
252
Let g = 5479865/12 + -458572. Let m = g + 1918. Find the common denominator of m and -59/294.
588
Calculate the common denominator of -95/4 and (2732/660 - 5)/((32/(-3))/(-2)).
440
Let a = -42 - -39. Let u be ((-1006)/(-8) - a/12) + -1. Suppose -g - 65 = -2*p, -5*g = 3*p + 2*p - u. What is the smallest common multiple of 27 and p?
270
Let w(b) = -2*b**2 + 16*b + 1. Let q be w(8). What is the common denominator of -25 and 20286/(-1512) - q*2/(-1)?
12
Let b = -41 + 43. Let o be 198/b - (19 - 18). What is the common denominator of 41/5 and o/(-8) + 5/(-10)?
20
Calculate the least common multiple of 6 + (-92)/(-69)*-3*1 + 46 and 1344.
1344
Suppose -28*k = -20*k + 1960. Let a = -1 + 5. Calculate the common denomi