 is the least common multiple of p and 49?
5733
Let w(r) = -14*r**3 + 6*r**2 + 30*r + 206. What is the lowest common multiple of 57 and w(-7)?
15276
Suppose -154 = 2*w + 20*w. Calculate the smallest common multiple of 864 and ((-33)/55)/(w/140).
864
Suppose z - 58 = -5*f + 245, z + 3*f - 309 = 0. Calculate the least common multiple of z and 6.
318
Let b(j) = j - 3. Let i be b(5). Let k be (-1)/(5/(-15)) - (-36)/i. Suppose 2*w - k = -u, -36 + 7 = -3*w + u. Calculate the least common multiple of 74 and w.
370
Let h = 8718/5 - 1723109/990. Let m = h - 48/11. Find the common denominator of m and 41/302.
2718
Let i(c) = c**3 - 22*c**2 - 54*c + 1983. Calculate the lowest common multiple of 21 and i(22).
5565
Let y = 72 - 40. Let m be ((-1)/2)/((-16)/y). Calculate the common denominator of (-438)/6*m/(-9) and 73/9.
9
Let s = 358 + 52. What is the smallest common multiple of s/123*(-18)/(-5) and 120?
120
What is the common denominator of ((-10)/(-12) - 0)*18/18720*828 and 95/728?
728
Find the common denominator of (-1)/(-15)*169/2 and (-65)/((-65)/6)*(-2 + (-186)/(-48)).
60
Suppose 1 = -5*i + 4*i - 2*v, -v = -2*i + 13. Let p(r) = r**2 + 6*r - 240. Calculate the smallest common multiple of p(13) and i.
35
Calculate the smallest common multiple of 4 and 48*60/((-120)/(-12))*106/24.
1272
What is the common denominator of 89/15 and (26/3246)/(((-6)/(-4))/(10 - 12))?
24345
Let v(q) = -5*q**2 + 58*q + 47. Let r(t) = -t + 4. Let u(a) = a**3 + a + 2. Let d be u(0). What is the smallest common multiple of r(d) and v(12)?
46
Let c = 2/61941 - -2415383/9786678. Calculate the common denominator of c and -19/16.
1264
Suppose 2*f + f + 5*s - 49 = 0, 4*s = 20. Suppose 0 = f*q - 37 - 19. Suppose -q*g = -0 - 224. What is the lowest common multiple of 20 and g?
160
Let g(k) = 2*k**3 + 93*k**2 + 47*k + 46. Let x be g(-46). Let i = -1183/69 - 12/23. Find the common denominator of i and x - (-5)/(-22)*(-104)/(-30).
33
Let n = 7274 + -6749. What is the least common multiple of n and 375?
2625
Suppose 0 = -3*a - 3*s + 54, -2*a + 5*s - 3*s + 44 = 0. Let p = 432 - 304. What is the least common multiple of a and p?
640
Let c(i) = 2*i**2 - 7*i + 3. Suppose 4*w + 11*d = 10*d - 23, 0 = -w + 3*d - 22. Calculate the lowest common multiple of c(w) and 135.
1350
Calculate the common denominator of 69/280 and 21/(-2)*(-99)/432.
1120
Let b = 18 - -6. Calculate the smallest common multiple of b and (360/(-27))/(12/(-36)).
120
Let i(n) = 107*n**2 + 60*n + 44. Calculate the least common multiple of 152 and i(-2).
6688
Let n = -2667 - -5361/2. Let o = 2837 - 65263/23. What is the common denominator of n and o?
46
Let l = -306305184627/16 + 19158767674. Let c = 14699408 - l. Let v = -5778 + c. What is the common denominator of -43/16 and v?
16
Let b = -28 + 34. Calculate the least common multiple of (-132)/(-4)*(-2)/(-3) and (2*1 + (-9)/18)*b.
198
Let t = 62 + -733/12. Find the common denominator of t and -91/32.
96
Suppose 0 = -21*u + 26*u - 300. Suppose -9*m + u = 222. Find the common denominator of -19/14 and (38/m)/((-6)/3 - 0).
126
What is the lowest common multiple of (-1068)/2848 - (-22723)/8 and 852?
8520
Let w = 309816912770 - 34407027065036317/111056. Let g = -2/6941 - w. Find the common denominator of g and 1/5*-2 - (-32731)/6390.
144
Suppose -3*w = -2*x - 19, -2*w + x + 8 = -w. What is the common denominator of 927/130 - 21/w and 29/22?
1430
Let p = 260846267/4333484582 - 2/3477917. Find the common denominator of 37/20 and p.
12460
Let v = -24741167/11710 - 1026/1171. Let u = v - -2116. Calculate the common denominator of 41/70 and u.
70
Find the common denominator of 7/168*((-26)/(-39))/(9/(-18)) and 2 + 0 - 646/236.
1062
Let z = -288/3685 - -19/134. Find the common denominator of z and -43/610.
6710
Suppose -7*y + 4*y + 90 = 0. Let z = 437 - 368. Suppose -486 = -z*q + 51*q. Calculate the smallest common multiple of q and y.
270
Let h(d) = 31*d - 28. Let k be h(1). Calculate the common denominator of ((-35)/k)/((-340)/(-15)) and -117/28.
476
What is the lowest common multiple of (-1 - 2) + (-5 - -26) and (3/6)/(-11 + 30120/2736)?
342
Let r be (3 - -1) + -6*262/(-4). What is the common denominator of 73/18 and (-3)/((-27)/2) + r/90?
90
Suppose -8*l + 16 = -0. Suppose 0 = -4*s + 4*k - 8, l*k - 2 = 6. Suppose 0 = s*a - 6*a + 4*c + 76, -3*a = c - 69. What is the least common multiple of 2 and a?
22
Suppose 4*v + 33*f = 30*f - 987, -2*f = -2*v - 490. Let t = v - -309. What is the least common multiple of 49 and t?
441
Let d(u) = u**3 - 31*u**2 + 57*u + 34. Suppose 3*r - 32 = 55. Calculate the least common multiple of 9 and d(r).
45
Calculate the least common multiple of (34047/156)/((-3)/(-16)) and 2328.
2328
Let k be (1191/(-291) - -2) + 5 + -3. Let t be -2 - (382/(-6208) - (-6 + 9)). Let l = k + t. What is the common denominator of l and 47/28?
224
Suppose -732 = -4*i + 4*l, -l = -2*i + 4*l + 381. Let u = -125 + i. Let p = u + -42. What is the least common multiple of p and 5?
55
Let i = -4152543199/3984 - -1042305. Find the common denominator of i and -47/44.
43824
Calculate the common denominator of (-5050)/(-7824) + (-10)/15 and -17/10.
19560
Let q = 4486 + -49398/11. Let p(a) = a**3 + 2*a + 1. Let g be p(-1). What is the common denominator of q and ((-59)/20)/(g/8)?
55
Let b(w) be the second derivative of -1/3*w**3 + 0 + 17*w - 15*w**2. What is the least common multiple of b(-17) and 16?
16
What is the common denominator of -1*(-10555)/(-3640) - (-24 - -21) and 46/65?
3640
Let j = -239 - -221. What is the common denominator of (-719)/(-720)*-2 + j/(-45) and 121/40?
360
Let m = 15782353/1010 - 15626. What is the common denominator of m and 61/140?
14140
Let g(c) = -3*c - 30. Suppose 0 = -3*w + 4*j + 990, -3*w + 2*j = 4*j - 990. Let h be 1/(-4) - w/24. What is the lowest common multiple of g(h) and 22?
132
Let h(d) = 3*d**2 - 9*d - 14. Let c be h(-4). What is the least common multiple of 42 and c + (-52)/(-32) + 9/24?
504
Let z(m) = -m**3 - m**2 - m - 180. Let p be z(0). What is the common denominator of 0 - (42/(-25))/(36/p) and 39?
5
Let u = 2593/328 + -114/41. Let c = 1180 + -2182. Let s = c - -19043/19. Calculate the common denominator of s and u.
152
Let t(m) = -3*m + 35. Let b be t(17). Find the common denominator of (9/b)/(((-315)/204)/(-7)) and -11/2.
20
Let i = 61 + -60. Let k be i/((-2 + 6)/476). Suppose 0*x - 4*q = x - 28, -5*x + k = -q. What is the least common multiple of 3 and x?
24
Let t = -122 + 120. Let r be ((-66504)/8314)/4 - t/1. Let d = r - -145483/49884. Find the common denominator of -5/28 and d.
84
Let x = 7 - -9. Suppose -17 = -j - j + 3*m, -2*j + x = -4*m. Let w(r) = 177*r + 10984. What is the lowest common multiple of j and w(-62)?
10
Let d(h) = -5476*h + 167. Let m(z) = -1369*z + 42. Let t(p) = -2*d(p) + 9*m(p). Let u be t(26). Calculate the common denominator of (-21625)/u - 2/9 and -145/6.
474
Let t = 910328 + -1242597781/1365. Find the common denominator of -61/1950 and t.
13650
Let w = -1492192445/1176 + 1268871. What is the common denominator of 29/63 and w?
3528
Let j = -13016 - -4828933/371. Calculate the common denominator of j and -87/2438.
17066
Let g be -4 + -1*104/24*3. Suppose 0 = -2*s - 6, 6*s = -v + s + 7. Let p = g + v. What is the least common multiple of p and 2?
10
Let w(x) = x + 3*x**3 + 8*x**3 + 3*x**2 - 10*x**3. Calculate the least common multiple of (-5 + -6)/(2/(-2)) and w(-1).
11
Let j = 521480 + -59969747/115. Let d = 16/5 - j. Let p = d - -733/276. What is the common denominator of -40/9 and p?
36
Suppose -247*b + 144 = -242*b - 3*k, 2*b - 50 = 5*k. Calculate the smallest common multiple of 12 and b.
60
Let m(s) = 2*s - 4. Let r be m(-1). Find the common denominator of (39/24*r)/(6/20) and 1/152.
152
Let b(s) = -2*s + 14. Let p be b(6). Suppose d - 4*z = -p*z + 173, 3*d - 519 = 2*z. Suppose 53 = -4*y + d. Calculate the lowest common multiple of y and 24.
120
Suppose 470 + 743 = -4*n - 5*t, 0 = n + 4*t + 317. Let m = 387 + n. Calculate the smallest common multiple of m and 27.
270
Let p = 132727/6 - 22127. Calculate the common denominator of 31/6340 and p.
19020
Let i = 480725 + -253822901/528. What is the common denominator of 51/16 and i?
528
Let h = -474524/7 - -68021. Let b = h - 53909/231. Calculate the common denom