at is the common denominator of 13/48 + 4/(-6) and (2/1144)/(820/250510)?
528
Let c = -3195/365428 - -2/2947. What is the common denominator of c and -17/28?
868
Suppose -264*r + 247*r + 3553 = 0. What is the least common multiple of 209 and r?
209
Suppose 68*p - 48*p = -320. What is the common denominator of (-295)/300 + p/(-40) and -74/75?
300
Suppose 5*w - 4*x = -8*x - 4315, -5*x - 3452 = 4*w. Let t = -560 - w. What is the smallest common multiple of t and 30?
3030
Let a = -56 - -80. Let h be -1 - -1 - (7 - 39). Suppose -h = -2*v - a. What is the smallest common multiple of v and 16?
16
Suppose 123 = 3*r + 15. What is the smallest common multiple of 2*((-8)/(-6) + (-12)/r) and 32?
32
Let q(k) = -84*k - 2012. What is the smallest common multiple of 128 and q(-24)?
128
Let v(i) be the third derivative of i**6/120 - i**5/20 + 7*i**4/24 - 2*i**3 + 116*i**2. Find the common denominator of -50 and v(4).
1
Let a = -23 - -39. Calculate the least common multiple of (-1722)/(-27) - 100/(-450) and a.
64
Let z(r) = -r - 8. Let y be z(-12). Let o be 1 + (y - 3 - -2)/1. Find the common denominator of -75/8 and (-34)/(-4) + 1 + o.
8
Let d(m) = -1596*m + 1. Let p be d(1). Let j be (3 - 1) + 5 + -9. What is the common denominator of j/(-10) + 0 - p/(-100) and -121/20?
20
Suppose c = -5, -4*c + 983 - 7 = 2*m. Suppose s = d + 4*s - 106, -5*d + m = -s. Let n = -23 + 25. Calculate the lowest common multiple of d and n.
100
Let h be -1 - 1/((-2)/(-1446)). Let l = h - -1477/2. Calculate the common denominator of l and (1735/(-60) - -5) + (-4)/(-6).
4
Let f = -590/29 - -1828/87. Suppose -c = 5*j - 11, 4*c - j + 4 = 3*j. Find the common denominator of 2 + (381/72 - c) and f.
24
Let b(s) = 2*s**2 - 31*s + 159. Calculate the smallest common multiple of b(7) and 76.
760
Let b = -176053/1205066 + 4/7627. Let x = -912 + 9137/10. Calculate the common denominator of x and b.
790
What is the common denominator of (-134)/114*(-225)/(-450) and -41/342?
342
Let p(i) = -13*i**2 - 1 + 18*i**2 + i + 4*i + 7. Calculate the lowest common multiple of p(-2) and 6/(-30) + 62/10.
48
Let r = 1138 + -43199/38. Suppose 21 = -s + 4*j + 6, -4*j + 16 = 0. Calculate the common denominator of s - ((-860)/(-88) + -6) and r.
418
Let o = 47024 + -80928306/1721. Let r = 77387359842901/10326 + -7494417951. Let t = o - r. Find the common denominator of 53/8 and t.
24
Let x = 33460 + -2710211/81. Let q = 44/79 - 1664/3555. Calculate the common denominator of x and q.
405
Let d(h) = 14*h + 282. Let p be d(-20). Calculate the lowest common multiple of 4 and (-4 + 1/p)*752/(-14).
188
Let c be 24/(-10) + 16/40. Find the common denominator of 1/(-2) + 5/65 and (c - (2 + -5)) + (-117)/52.
52
Let n = 76327/8 + -9538. Find the common denominator of -17/1234 and n.
4936
Find the common denominator of 140/(-12) - 1/(-2) and (8/24)/(-1)*((-145)/12)/1.
36
Let u(c) = -2*c**2 - 4*c - 1. Let w(f) = f**3 - 5*f**2 - 10*f - 2. Let l(m) = 11*u(m) - 4*w(m). Calculate the least common multiple of 2 - (-4*5)/2 and l(-1).
12
Let x(m) = m**3 - 5*m**2 + 4*m + 2. Suppose -v + 294 = 4*p, 6*p = -2*v + 5*p + 609. Calculate the smallest common multiple of x(5) and 760/18 + (-68)/v.
462
Let u = -37559 - -10704328/285. Find the common denominator of -83/4 and u.
1140
Let i(k) = 5*k**2 - 6*k - 40. Let l be i(-6). Calculate the common denominator of l/4*(4/2)/(-18) and -7/3.
9
Let z = -176399/12341525 + -2/16175. Find the common denominator of -61/3597 and z.
25179
Calculate the common denominator of 83/1576 and (-3983)/(-490) + -14 - (22/10 - 3).
11032
Let b(c) be the first derivative of c**4/4 - 5*c**3/3 - 2*c**2 + 4*c - 1. Let o(f) = 2377*f + 14268. Calculate the least common multiple of o(-6) and b(6).
48
Let s = 133063/18 + -7400. Let j = -10928 - -6267. Let u = 56017/12 + j. What is the common denominator of u and s?
36
Let s = -198321 - -71395711/360. Find the common denominator of s and 22/375.
9000
Suppose 0 = 7*r + 262 - 17. Let h be 8/(-28) - (-165)/r. Calculate the common denominator of h + -338*4/(-48) and -137/24.
24
Let q be 22356/352 + 5/40. Let a be -4 + (-7179)/132 - -2. Let c = a + q. What is the common denominator of c and 47/4?
4
Let r(l) = l**2 + 15*l - 164. Let j be r(-23). Suppose 25*a - j*a = 380. What is the smallest common multiple of a and 190?
380
Let b = -262 + 1042. Calculate the smallest common multiple of 156 and b.
780
Let c = 296 - 87. Calculate the least common multiple of c and 38.
418
Suppose 883*r = 903*r - 420. What is the lowest common multiple of 6 and r?
42
Let a(q) be the first derivative of -7*q**2/2 + 20*q + 12. What is the smallest common multiple of a(-6) and 16?
496
Suppose 87 = 4*t + 59 - 124. Let o be 3/(1 - (-30)/(-33)). Suppose -u - 2*u + o = 0. What is the least common multiple of t and u?
418
Suppose -2*k = 23 + 9. Let a = 24 + k. Suppose q - 119 = -115. What is the least common multiple of a and q?
8
Let c(h) = -5*h + 93. What is the least common multiple of 133 and c(16)?
1729
Let i(p) = p**2 + 23*p - 11. Let h be i(-19). Let z be 80/((-1 + (-123)/h)/2). Let d = 380 - z. Calculate the common denominator of 14/11 and d.
33
Suppose 0 = 29*u - 28*u + 1678. Let h = u - -20069/12. Calculate the common denominator of h and -40/33.
132
Suppose 2794*c = 2805*c - 231. What is the least common multiple of c and 2841?
19887
Let q = 30/209 - -9277/12540. What is the common denominator of q and ((-10)/6)/((-4)/(-5))?
60
Let w = 255 + -115. Let v(u) = u**2 - 2*u - 41. What is the least common multiple of w and v(-7)?
1540
Let r = 1065 + -709. Calculate the least common multiple of 445 and r.
1780
Let u be 12/18*-111 - 2*2. Let g = -96 - u. Calculate the common denominator of 137/30 and (-56)/(-6)*(-12)/g.
90
Let p(w) = -103*w + 6906. Let d be 2 + 0 - -1*3. Suppose d*b + l = 7, -9 - 5 = -4*b - 5*l. Calculate the lowest common multiple of b and p(67).
5
Let n(l) = -15*l + 106. Let i be n(-8). Suppose -v - 29 = 3*z - i, 3*z - 200 = 2*v. What is the least common multiple of 54 and z?
594
Let i = -91132079/570 - -159881. What is the common denominator of 47/120 and i?
2280
Suppose -21*c + 13*c + 192 = 0. Suppose c = t + 5*x, 212 = t + 4*t + 2*x. Calculate the least common multiple of t and 92.
1012
Suppose -6*y + 3 = -21. Suppose 4*a - 11 = 2*a - 5*w, -5*w = y*a - 27. Calculate the common denominator of 77/12 and (-3)/12*2 + a/11.
132
Let x = 1461 + -3286. Let a = 109469/60 + x. Calculate the common denominator of -67/12 and a.
60
Suppose 4588 + 57012 = 80*m. Calculate the lowest common multiple of 50 and m.
3850
Let n(b) = b**3 + 23*b**2 - 24*b + 10. Let f be n(-24). Let u = f + -79. Let h = -59 - u. What is the smallest common multiple of 58 and h?
290
Let x = -10689/107 - -17942123/179653. What is the common denominator of -69/584 and x?
13432
Let d be ((-30)/(-60))/((-2)/1520). What is the common denominator of -69/52 and (5/(-450)*4)/(26/d)?
468
Let i(o) = 152*o - 344. Calculate the least common multiple of i(6) and 355.
2840
Let v = 72787289/310 - 234798. What is the common denominator of -21/248 and v?
1240
Let j = -185795/17 - -10926. Let u(k) = -279 + 273 - 2*k**3 - 2*k**3 + 3*k**3 - 11*k - 14*k**2. Calculate the common denominator of j and u(-13).
17
Suppose -d - 2 + 4 = 0. Suppose t - i - 6 + 0 = 0, i + 9 = 4*t. Find the common denominator of t - ((-1)/1 + d/16) and -23/6.
24
Let i = 873/148 - 83/185. Calculate the common denominator of i and 3/80.
80
Let t = -179 - -174. What is the common denominator of (1/6)/(8/(-42)) and 36/(-10) + (t - -7)/(-4)?
40
Suppose 125*p - 120*p = -5*o + 890, -21 = -3*p. Calculate the least common multiple of 2394 and o.
2394
Suppose 2*w - 1285 = 5*m + 171, 3*m = 4*w - 2940. Calculate the smallest common multiple of 4059 and w.
8118
Let u = 7850 - 7841. What is the smallest common multiple of 4234 and u?
38106
What is the lowest common multiple of 6634/26 + 528/(-52) + 10 and 75?
1275
Find the common denominator of -99/16 and (-45687)/(-7850)*(1 + 51/(-36)).
80
Calculate the least common multiple of 260 and (-7 - 85)/(12 + (-868)/70).
5980
Find the common denominator of -139/42 and (-49 + 39)*10/44*4/70.
462
Suppose 3*i + 50 - 12 = q, 0 = 4*q - 4*i - 192. Let u = q - -27. Let j = -71 - -87. What is the lowest common multiple of u and j?
80
Let y be 7