hat is the common denominator of -4*(-4)/(-280) - (-1172)/4830 and -65/138?
690
Let a = 16 + -144. Let s = 135 + a. What is the lowest common multiple of s and 15?
105
Let r be -2 - (-2 + -1)*-3. Let m(d) = -2*d**2 - 24*d - 24. Let g be m(r). What is the common denominator of (6/(-30))/(g/(-122)) and 19/6?
30
Let m = -2025 - -1126. Find the common denominator of 15/4 and 8/((-24)/(-9)) - m/(-296).
296
Suppose -22*u + 64*u - 13*u - 207611 = 0. Calculate the smallest common multiple of 9 and u.
64431
Let l be (-9 + 6 - -5) + 2 + 0. Suppose -14*c + 46 = l. Let u = 7 - -6. What is the lowest common multiple of u and c?
39
Let x = 688 + -690. Let w(y) = 66*y**2 - 38*y - 72. What is the least common multiple of 8 and w(x)?
536
Let f(u) = -4*u + 76. Let t be f(19). What is the common denominator of -43/5 and (t + -1)/((-7)/(161/5))?
5
Let q = 44 + -40. Suppose -6*w + 3948 = 1446. What is the smallest common multiple of q and w?
1668
Let k(x) be the second derivative of -x**4/6 + 29*x**3/6 - 3*x**2/2 + 132*x. Calculate the lowest common multiple of k(13) and 72.
72
Calculate the smallest common multiple of (-540)/(-9)*(-144)/(-40) and 252.
1512
Let q = -1471/266 + 170/57. What is the common denominator of q and 99/350?
1050
Let t = 12/1538503 + 87543807/19342059716. Calculate the common denominator of -17/12 and t.
37716
Let b = -35 + 63. Suppose 2*o - 6*q = -6, q = 3*o + o - 21. Calculate the least common multiple of b and o.
84
Let a = -27203 + 3345949/123. Calculate the common denominator of (-4)/(-23)*(-4)/(-8) + 19482/(-35190) and a.
615
Let j be (346/(-36))/((-2)/(-51)). Let i = j + 246. Calculate the common denominator of 2/(118/(-206) + 1) and i.
132
Suppose 99 = 2*a - 4*q - 37, -5*q + 285 = 4*a. What is the lowest common multiple of 7 and a?
70
Calculate the common denominator of (-2)/(-30) + (-148)/(-74) and -52/3669.
18345
Let o = 1273 - 5055/4. What is the common denominator of (19/18)/(16/120) and o?
12
Let w = -2195 - -2293. Calculate the least common multiple of 8 and w.
392
Let l(p) = 3*p**2 + 7*p - 17. Let o be l(5). Suppose 0 = 92*n - o*n + 33. What is the least common multiple of n and 18?
198
Let v(g) = -301*g + 3949. Calculate the lowest common multiple of v(-11) and 27.
65340
Calculate the common denominator of 37/736 and (-117)/276*34/102.
736
Suppose 350 = -10*q - 0*q. Calculate the common denominator of (-10)/q + 404/(-42) and -22.
3
Let j = 276147 - 145805711/528. What is the common denominator of -127/660 and j?
2640
Let n = -13128 - -7333. Let f = 574818751/24 + -23956580. Let s = n - f. What is the common denominator of s and 1/33?
264
Suppose -3*h + 4*l + 37 = 0, -8*l + 5 = h - 13*l. What is the lowest common multiple of h and 57?
285
What is the common denominator of ((-2)/42)/((11 - 23) + (-3880)/(-325)) and 6/4*50/(-21)?
84
Let a(q) = -5*q + 5. Suppose 2*w = -u - 7 - 5, 4*w = -12. Let i(f) = f**3 + 6*f**2 - f - 1. What is the smallest common multiple of i(u) and a(-1)?
10
Let r(p) = -3*p**2 - 9*p - 33. Let c be r(-6). Let q be 6/(-64)*(-4798)/c. Let t = q + -1/58. Calculate the common denominator of t and -69/44.
176
What is the lowest common multiple of ((8 - -6)/(-28))/((-3)/21096) and 14?
24612
Let q = -188/64629889 - -4139683895288/3522005801055. Let m = -68/1557 - q. Let p = 4/35 - m. Find the common denominator of -2/11 and p.
33
Let y = 411/14 - 49/2. What is the common denominator of y and 59/371?
371
Suppose -5*w + 3*q - 64 = -19, -36 = 4*w + 3*q. Calculate the common denominator of (1365/(-1800))/(w/12) and -59/10.
90
Suppose 14*j - 9*j - 6239 = 3*q, -2*j + 2469 = -5*q. Calculate the least common multiple of 8 and j.
2504
Suppose -12*t - 115 = -13*t. Suppose 105*o + 4440 = t*o. What is the least common multiple of 20 and o?
2220
Let g(q) = -33*q**2 - 900*q - 28. Calculate the smallest common multiple of g(-27) and 129.
645
Let l(a) = 26*a**2 + 8*a + 10. Let g be l(-3). Let c = -316 + g. Find the common denominator of 41/16 and 2/3*678/c*-4.
48
Let s(j) = -3*j**2 + 22*j + 116. Calculate the lowest common multiple of 20 and s(6).
140
Let q(w) = w**2 + 3*w - 180. Let x be q(-15). Suppose x = 6*y - 183 - 87. What is the least common multiple of y and 145?
1305
Let g = -40519417/540 + 75036. Find the common denominator of -91/212 and g.
28620
Let a(z) = -3*z**2 + 3*z - 24. Let x(q) = q**2 + q + 1. Let y(n) = a(n) + 4*x(n). What is the smallest common multiple of y(8) and 12?
300
Let k = -272 + 226. What is the common denominator of (3*(-404)/(-288) - 4)*k and -23/10?
60
Suppose 10443 = 132*l + 24*l - 5469. Calculate the smallest common multiple of l and 27.
918
Let f(t) = t**3 - 10*t**2 - 31*t - 100. Calculate the lowest common multiple of 737 and f(13).
2948
Suppose 23 = 22*f - 131. Calculate the common denominator of (-231)/15*(-10)/(-12) and (((-91)/(-11))/f)/1.
66
Calculate the common denominator of (30208/(-924))/16 + 4/14 and -7/831.
9141
Let k be (-7)/2*(-7 + 9). What is the smallest common multiple of 15 and k*(1 + (-4)/28)*-5?
30
Let w = 57 - 48. Let j(o) = 14*o - 81. Calculate the least common multiple of j(6) and w.
9
What is the smallest common multiple of (77*-3)/((-11)/(-21) + 336/(-392)) and 117?
9009
Suppose 15 = 3*c, 4*c - 16 = d + 4. Find the common denominator of 55/6 and (3 - 4071/1359)*(d + 3).
906
Calculate the common denominator of ((-1)/((-5)/(-10)*-64))/(84/2288) and -103/336.
336
Let q = 3409 - 3395. Let j(m) = m**2 - 4*m + 3. Calculate the smallest common multiple of q and j(5).
56
Let o be (418/8)/((-27)/846). Let g = o + 1652. Find the common denominator of g and ((-2835)/700)/((-24)/(-10)).
48
Suppose -21 = 5*r - 71. Let g = -47 - -55. What is the smallest common multiple of 2/(g/(-14))*-4 and r?
70
Suppose 2*u = -0*u + 5*z + 21, -z = -3. Let k = -22106 - -22116. What is the least common multiple of u and k?
90
What is the common denominator of (-260)/20 + (-2562)/(-308) and ((-51)/(-2))/(32/4)?
176
Let i = -16788607410853/11066 + 1517134233. Let a be (-4 - -1)*2/1509. Let p = i - a. What is the common denominator of -61/4 and p?
44
Let l = 1684 - 2391. Let q = -648/35 + 114/5. Calculate the common denominator of l/(-14)*1/5*-1 and q.
70
Let r be (-5 + (-7196)/(-21))*(-3)/25. Let h = r + 16543/400. Find the common denominator of -81/88 and h.
880
Suppose -4*z = 3*d - d - 26, 5*d = 5*z + 5. Suppose -57 = p - 9*r, 2*p + 5*r + 16 = 9*r. What is the smallest common multiple of z and p?
12
Suppose 0 = -o + 2*o - 95. Suppose -4*j + 3*j - 59 = 0. Let c = j + o. What is the lowest common multiple of 18 and c?
36
Let u(k) = 3*k**2 - 18*k + 4. Let y be u(5). Let f(h) = -h**2 - 7*h + 36. Let b be f(y). What is the common denominator of 23/20 - (-2)/b and 75/22?
110
Let c = -108/25 + 2923/150. Let q = 871271/38 + -22926. Find the common denominator of q and c.
114
Let a = 1054 - 738. Suppose a*v = 320*v - 2464. Calculate the least common multiple of 18 and v.
5544
Suppose 214*v - 218*v - 6 = 2*b, -5*v - 9 = 2*b. Calculate the smallest common multiple of (0 - 82)/(22/(-33)) and b.
123
Suppose -8*l - 14*l + 66 = 0. Let q(t) = -t - 3 + t**2 - 3 + 9. Calculate the smallest common multiple of l and q(-5).
33
Let s(z) = -z**3 + 23*z**2 + 3*z + 39. Calculate the least common multiple of (-274)/(-10) + 2/(-5) and s(0).
351
Suppose 16*a - 82*a + 6719 + 1135 = 0. What is the least common multiple of a and 102?
714
Suppose -16*v - 101 = 55 - 412. Calculate the least common multiple of 2232 and v.
4464
Let o = -3949/252 + -5/63. Let i = -19843/6594 + 222/157. What is the common denominator of i and o?
84
Let w = 30109 - 7088. Let k = 1519505/66 - w. Calculate the common denominator of k and -101/54.
594
Suppose 0 = 2*r + 2*r + 4. Let w = 3/65 - -706/195. Calculate the common denominator of w and (r/2)/((-33)/(-1639)).
6
Let c be 2087/(-9) + (-32)/288. Let i = -205 - c. What is the smallest common multiple of i and 27?
27
Let z = -1389 + 1611. What is the smallest common multiple of 510 and z?
18870
Let x = -4955691/10 + 494062. Let u = -1515 - x. What is the common denominator of (-12)/(-10)*(-4760)/1836 and u?
90
Let z = 271 + -33. Let x = -9/91 + -2176/1001. Calculate the common denominator of x and z/99 + (72/(-66))/6.
99
Let n be -2 + 5 + (-9)/3. Suppose 3 = i - n. What is the lowest common multiple