95 + 3209. Calculate the least common multiple of n and 114.
114
Find the common denominator of -79/2340 and (2 - -1) + (-36668)/7200 + 2.
23400
Let a = -5637 + 8238. What is the smallest common multiple of a and 2890?
26010
What is the common denominator of (-2781)/45*((-23)/(-24) + -1)/(-28) and 89/196?
7840
Let i = -1349905/95050246 - -22/29759. Calculate the common denominator of i and -65/14.
22358
Let a = -216373/56 - -3864. Find the common denominator of a and -87/28.
56
Find the common denominator of 67/1870 and (0 + (-1)/10)/(395/(-5293)).
9350
Let g = -26 - -30. Suppose 5*c - g = -3*p, -5*c + c = -3*p - 14. Suppose -8 = 2*h, 2*h + c*h = 3*i - 37. Calculate the smallest common multiple of i and 10.
70
Let t(v) = -v**3 - 16*v**2 - 34*v - 83. Let p be t(-14). Calculate the common denominator of 5/3 and p - 1334/202 - -6.
303
Suppose -10*l + 55*l = 180. Let u(y) = -3*y**3 + 1. Let b be u(-1). Suppose b*v = -v + 45. Calculate the lowest common multiple of v and l.
36
Let g = 358651/20 - 17937. Calculate the common denominator of g and -47/418.
4180
Let o = 1501 + -2157. Calculate the common denominator of (-60)/o*(-28)/10 and 75/(-16) + -1 - (-109)/((-5668)/(-364)).
656
Let d = 333 + -127. Suppose 8*f = d - 14. What is the lowest common multiple of f and (-18 - 0)*(-1)/2?
72
Suppose -8*r = -18*r + 20. Suppose 21 = -3*f + 3*a, -6*a + 1 = -f - r*a. Let k = 1 - f. What is the smallest common multiple of 20 and k?
20
Suppose 0 = -b - 2*g - 3703351, 5*b + 4*g + 18516731 = 2*g. Let k = 51880845/14 + b. Let z = -2431 + k. What is the common denominator of 14/11 and z?
154
Suppose -2*z + 1258 - 13 = 3*w, 3*z - 1830 = 3*w. Let u = -554 + z. Calculate the lowest common multiple of 10 and u.
610
Let c be (-2 + 2 - 100537)/26. Let r = c - -3864. Let p = -29431/2696 - -14/337. Find the common denominator of r and p.
104
Let o be -5 + 2 + 2 + -15. Let m = -17 - o. What is the common denominator of 54/(-444) + (-3 - m - -2) and -85/16?
592
Let p be 5*1/(15/252). Calculate the common denominator of (-35)/p*3/(-8) and -91*(-4 - 42/(-12))/18.
288
Let k be (-14)/(-77) - (-6)/(-33). Suppose k = -x + 5*d - 19, 5 = x - 4*d + 19. Calculate the lowest common multiple of 8 and x.
24
Suppose 0 = -b + u - 1, -6*u + u = 4*b - 41. Let d(p) = 2*p**2 - 4*p - 7. Let h be d(b). Let w = 23 - h. What is the smallest common multiple of w and 8?
56
Let x = 222 + -435/2. Let c be (-1)/(-1996)*20/15. Let m = c - 133241/11976. Find the common denominator of m and x.
8
Suppose -u + 396 = -2*w, -3*w - 775 - 17 = -2*u. Let g = 536 - u. What is the lowest common multiple of g and 28?
140
Let j(n) = 1251*n**3 + n**2 + 46*n - 48. Calculate the smallest common multiple of j(1) and 3625.
36250
Let b(w) = 13*w + 58. Let l be b(-4). Suppose 2*j = -l, 2*p - 2*j = p + 183. Calculate the lowest common multiple of 4 and p.
708
Let u = 5302 - 4968. What is the lowest common multiple of (-5 - -3) + (-14)/(-1) and u?
2004
Suppose -99 = 7*n - 383 - 626. Calculate the smallest common multiple of 110 and n.
1430
Suppose 10*n + 50 = 150. Suppose l + n = 2*i, 3*l = 5*l - 8. What is the lowest common multiple of 10 and i?
70
Suppose 0 = 5*w + 2*r + 8, -3*r - 1 = -w - 6*r. Let d(n) = -n**2 + 21*n + 48. What is the least common multiple of d(20) and (w - 1)*(3 + 155/(-15))?
748
Let i = -5773/4 + 1461. Let g = 648 + -11783/18. What is the common denominator of i and g?
36
Let s = 107/2 + -363/8. Calculate the common denominator of 6/(14 - 8) - 610/364 and s.
728
Let j = -496832/39 - -12741. Find the common denominator of j and (-1)/(-4) - 115/(-12).
78
Let f(u) = -u**3 - 21*u**2 - 19*u + 45. Calculate the lowest common multiple of 5 and f(-21).
2220
Let w(r) = -2*r**2 + 46*r - 217. Calculate the common denominator of 51/49 and w(15).
49
Let m = -91408 - -182861/2. Find the common denominator of (1/8)/((-2)/212) and m.
4
Let g(c) = -5*c - 38. Let l be g(-8). Calculate the smallest common multiple of 84 and 5 + (9 - l - 2).
420
Suppose -5*d - 4*h + 1481 = -3*h, -5*d + h + 1489 = 0. Let w = 347 - d. Calculate the smallest common multiple of w and 8.
200
Let m be 18/(-12)*(-1 + -1). Suppose -7 = -p - 2*c, 0 = -4*p - c + m + 39. Calculate the smallest common multiple of 8 and (6/1)/(11/p).
24
Suppose 58*a - 28*a + 528 = 42*a. Calculate the smallest common multiple of 1072 and a.
11792
Calculate the common denominator of 8 + (-24778)/(-12597) + -10 and 71/9.
2907
What is the common denominator of 0 - (-2 - (-12)/5)*(-2145)/108 and -51/526?
4734
Suppose -10*n = -15*n - 230. Let z be (-459685)/15*(-2 + n/(-20)). Let h = z - -9206. Calculate the common denominator of h and -93/58.
290
Suppose 540 = -8*j + 44*j. Suppose j + 0 = 3*b, 5*b = 5*m - 65. Calculate the least common multiple of m and 132/(0 - -2) - 2.
576
Let g(w) = 2*w**2 - 54*w - 144. What is the least common multiple of g(-22) and 24?
12072
Let d = -17464 - -61367. Let k = d + -1975543/45. What is the common denominator of k and 29/42?
630
Let m = 8162 + -40041/5. Let o = m + -2348/15. Find the common denominator of 0/1 - 22/7 and o.
105
Let f = 1306733/413984 + -3/12937. Calculate the common denominator of -51/800 and f.
800
Let o(z) = -7*z**2 + 128*z + 85. Calculate the smallest common multiple of 126 and o(17).
2142
Let j = 22473 - 4247317/189. Let h = j + -7213/9450. Calculate the common denominator of h and -91/45.
450
Let n(q) = q**3 + 18*q**2 - 18*q + 24. Let a be n(-19). Suppose 0 = u + 3*u + a*l - 501, 5*u - 657 = 4*l. What is the least common multiple of 9 and u?
387
Let z be 2055/(-332) - 2 - 5. Let p = z + -5/83. Let m = -13/27 + -623/108. Calculate the common denominator of m and p.
4
Let h = -197805467/504 + 392471. Calculate the common denominator of h and -7/192.
4032
Suppose 2*u + 2*g - 200 = 0, -10*g + 8*g = -5*u + 535. Let t = -201 - -343. Calculate the common denominator of t/u + (-24)/60 and -125/12.
84
Suppose -48 = -5*v + 2*m, m + 29 = 2*v + v. Suppose 4*s + 12 = -4*o, 2*o + 23 = 4*s + o. What is the least common multiple of v and s?
20
Suppose 19*p + 5*o = 23*p - 15, -15 = -3*o. Calculate the common denominator of (-2 - -2) + 2/(-28) and p/(-45) + (-952)/1872.
182
Let x(i) = 3*i + 1 - 3 + 0 - 2*i. Suppose -3*s - 373 = v - 383, 0 = 2*v + s - 5. Calculate the lowest common multiple of v and x(8).
6
Suppose -346*r + 110*r - 5144 = -896. What is the common denominator of r and 9/6*68/(-38)?
19
Let g = 2179/325 - 236/39. Find the common denominator of g and -97/252.
6300
Calculate the lowest common multiple of -12 - (20 + -19 - 19) and 691.
4146
Let o = -1394924 - -1883147311/1350. Calculate the common denominator of -59/63 and o.
9450
Let s(p) = -p**3 - 6*p**2 - 8*p. Let d be s(-4). Suppose 5*q = -x + 121, d*q - q + 23 = -x. What is the smallest common multiple of 20 and q?
120
Suppose -18*q + 10844 + 5568 = 482. What is the smallest common multiple of q and 18?
5310
Let i = -36596 - -41712. Calculate the smallest common multiple of i and 6.
15348
Let a(r) = r + 33*r**3 - 2*r**2 + 3*r - 7*r. Let m be a(-1). Calculate the common denominator of (2/m)/(1/50) and 119/10.
40
Let z(i) = 8*i**3 - 13*i**2 - 22*i - 35. Let v be z(-17). Let r = v + 3289647/77. What is the common denominator of r and -52/77?
77
Calculate the common denominator of (-466)/(-1005) + (-2046)/155 + 13/1 and 73/1742.
5226
What is the common denominator of 89/18 and (-28840)/12960 - 5/(5/(-2))?
324
Let o = -69301/9 - -7702. Calculate the common denominator of 27/72*364/9 and o.
18
Let b = -2847627350/641810169 - 223/1852266. Let p = -5/594 - b. Let h = -1134 - -10244/9. Calculate the common denominator of p and h.
63
Let v = 10310 + -9122. Calculate the smallest common multiple of 18 and v.
1188
Suppose 2*n = 10 + 6. Let p(l) = 2*l**2 - l + 2. Suppose -a = -2*x + a - 10, 8 = 2*a. Calculate the smallest common multiple of n and p(x).
40
Calculate the common denominator of -9/20 and ((-1101)/10 + (-6)/(-10))/(-60).
40
Let h(w) = 8*w - 4*w + w - 4 - 2. Let m be h(14). Suppose -5*g + m = -26. What is the least common multiple of g and 20?
180
Let b = 7871319/7 - 1127563. Let p = -3083 - b. Calculate the common denominator of 97/32 and p.
224
Suppose 85 = -4*n + 1. Let q be ((-182)/n)/((-3)/(-9)). What is the smallest common multiple of 10 and 6/4 + q/4 + -1?
70
Let