he common denominator of (w/(-70))/(-1 - (-131)/125) and -1/26.
78
Let w = -23413601/420 - -55747. Calculate the common denominator of w and 67/20.
420
Suppose f - 30 + 27 = 0. Suppose -4*a + 21 = -f*z, 4*z - 19 = 2*a - 17. What is the smallest common multiple of a and 12?
36
Let u(g) = -11*g + 137. Let v(n) = -16*n + 205. Suppose 8*p - 7*p + 7 = 0. Let a(h) = p*u(h) + 5*v(h). What is the least common multiple of a(21) and 15?
15
Let a = 67 - 66. Let k = -30661/27 + 1138. What is the common denominator of k and (-88)/(-33)*(a + (-34)/14)?
189
Let s(q) = 2*q**2 + 5*q + 4. Suppose 10 = -5*v - 3*w, 0 = v + 3*w + 2 - 0. Let f be s(v). Let z(o) = 15*o + 3. What is the least common multiple of z(f) and 6?
66
Let q(a) = a**2 + 16*a + 67. Let g be 278/6 + 1/(-3). Let y = g - 28. Calculate the smallest common multiple of q(-7) and y.
36
Let z be (-14)/28*-149*(3 - 1). Let r = 385/3 - z. What is the common denominator of r and -59/21?
21
Let b = 161 + -17. Suppose -9*d = -d + b. Calculate the common denominator of 107/12 and (4/(-8) - 111/d)/2.
12
Let b = -12746 - -12996. What is the smallest common multiple of b and 800?
4000
Suppose 9*p - 19*p + 11*p - 480 = 0. Calculate the least common multiple of p and 264.
5280
Suppose 8*t - 3*z - 9 = 3*t, 3*t - 12 = 4*z. What is the least common multiple of 6 and 320/32 - (3 + t) - 3?
12
Let h = 7936 - 3976. Find the common denominator of -59/63 and 1*-5 + 21280/h.
693
Let s = -133 - -283. Let l = s + -135. What is the smallest common multiple of l and 22/4 + 1/2?
30
Let q = 3255 + -3087. What is the smallest common multiple of 672 and q?
672
Let y = -7289578/243 + 29998. What is the common denominator of 67/18 and y?
486
Suppose 0*l - 14*l + 0*l = 0. Suppose 3*p + 232 = -l*u + 5*u, -u - 4*p = -28. What is the least common multiple of 14 and u?
308
Let y = -1363312770031/156 - -8739152122. Let l = y + 32301. What is the common denominator of -47/18 and l?
468
Suppose 3*n = 71*n - 9792. Calculate the lowest common multiple of n and 128.
1152
Let o = 22714 - 3634263/160. What is the common denominator of (0 - (-13)/18) + -33 + 33 and o?
1440
Suppose 5*o = 8 + 92. Let j(q) = 7*q + 7*q + 5*q - o*q - 4. Calculate the lowest common multiple of j(-12) and 6.
24
Suppose -29202 - 9606 = -84*s. What is the lowest common multiple of s and 27?
4158
Let m = -6965 - -7361. Calculate the least common multiple of m and 572.
5148
Let t be (-4)/(-8) + 903/6. Let p = t + -71. What is the lowest common multiple of 18 and p?
720
Suppose -2*q + 14 = -14. What is the lowest common multiple of q and (15/(-10) + 3)*(-20 + 22)?
42
Let l = 1/8635 - 19042/388575. What is the common denominator of -43/250 and l?
2250
Let u = -8279 - -9385. Calculate the smallest common multiple of u and 22.
12166
Suppose -30*w + 35*w - 340 = -5*o, 5*o - 212 = -3*w. Calculate the smallest common multiple of 56 and w.
448
Suppose -6*p - 275 = -p - f, -f - 157 = 3*p. Calculate the smallest common multiple of 4/(-14) - 634/(-14) and (p/10 - 0)*(-295)/59.
135
Let b be (-2)/11 - 3348/(-22). What is the common denominator of 53/20 and (-22)/b*56/4?
380
Let x be (-35)/7 + 1/((-4)/(-24)). Find the common denominator of -71/2 and 6 - x - ((-275)/(-368) - -4).
368
Let s = 338 - 66. What is the lowest common multiple of s and 112?
1904
Let x = 21529/6 - 3610. Find the common denominator of -67/300 and x.
300
Let y(m) be the second derivative of m**4/6 - m**3/3 - 5*m**2/2 + 5*m. Calculate the smallest common multiple of y(-3) and (-2 + -9 + 1)/(1*-2).
95
Suppose 5*x - 4*u = 4176, -2*u - 2179 = -4*x + 1169. Calculate the lowest common multiple of x and 1050.
4200
Let f(i) = i**3 + i**2 + i. Let z = 8 - -2. Suppose 36 = -w + z*w. Calculate the smallest common multiple of f(2) and w.
28
Let x = -189659 - -19914106/105. Calculate the common denominator of (4/(-12))/((-2)/(-146)) and x.
105
Calculate the smallest common multiple of 6 and 25/(-5) + (14 - -18).
54
Suppose -11404 = -4*u + 1264. Let p be -6 + (-243327)/77 + 3 - 6. Let i = u + p. Find the common denominator of i and -47/10.
110
Suppose 2*u = 6*u + 24. Let f(c) = -2*c**2 - 11*c + 10. Calculate the least common multiple of f(u) and 54.
108
Let l(y) = 86*y + 2244. Calculate the smallest common multiple of 590 and l(-11).
6490
Suppose -120 = -11*j + 3647 + 1777. Calculate the lowest common multiple of 1008 and j.
1008
Let b = 1067025802043/2826 - 377574590. Let t = 3/314 - b. What is the common denominator of t and 2/8 - 635/(-660)?
99
Suppose 11*x - 12*x - 2 = 0. Let o(n) = n**3 + 3*n**2 - 2*n - 1. What is the least common multiple of 64 and o(x)?
448
Suppose -46*n + 40*n = -30. Suppose c - 15 = n*b - 6*b, -4*b = 5*c - 71. What is the least common multiple of c and 19?
209
Let t = 2549 - 2505. Calculate the smallest common multiple of 781 and t.
3124
Let h(i) = 5*i + 5*i + 14 + 12*i**2 - 11*i**2 - 3*i. Let a = 8 + -14. Calculate the least common multiple of h(a) and 5.
40
Suppose 13 - 4 = 5*o - 4*b, 31 = 3*o + 4*b. Suppose -o*f + 7*f - 38 = -y, f = -5*y + 235. What is the least common multiple of y and 1?
48
Suppose -19*b + 36 = -15*b. Let x be ((-18)/5)/3*(-4 + b). What is the common denominator of -63/20 and (-15)/(-14) + x/(-21)?
140
Find the common denominator of 169/126 and 2895/498960*102 + 8/(-22).
504
Calculate the common denominator of -13/136 and ((-96)/(-192))/(1/((-243)/204)).
136
Calculate the common denominator of -45/248 and ((-303)/2232)/((2673/(-44))/(-27)).
6696
Let p = 23 - 1. Suppose -3317 = -9*f + 733. Let w = f - 422. Calculate the smallest common multiple of w and p.
308
Suppose 0 = 3*k - 3*i + 2277, 36*k + 3*i = 34*k - 1498. Let b = 773 + k. What is the smallest common multiple of b and 129?
774
Suppose 25*j + 24 = 21*j. Let r be (-2)/j - (-1110)/105. Let i = r - 2929/336. Calculate the common denominator of 19/40 and i.
80
Calculate the common denominator of 19/70 and 1/(-2) - (3 - ((-4197)/540 - -12)).
1260
Let q = 115560 + -41832747/362. Find the common denominator of q and 2/13.
4706
Let l be (-8)/(-420)*289/(-2). Let m be 16/(-20) + (-93)/(-105). Let t = l + m. What is the common denominator of -9/5 and t?
15
Suppose -b - 12 = -3*b. Let r = 19539 - 586253/30. Find the common denominator of b/51 - 2177/(-714) and r.
30
Let l = -10254249/1930910 - -2910/547. Calculate the common denominator of -143/2118 and l.
10590
Let m = 961509 - 23070905/24. Let o = m + -1819/8. What is the common denominator of 79/33 and o?
132
Let i = -143 - -230. Suppose 310 = -4*h - 2*b, -17*h - 394 = -12*h - 4*b. Let o = h + i. What is the smallest common multiple of o and 8?
72
Let i = -37300945/9 - -4139432. Let o = -5110 - i. Suppose -289*a = 251*a - 413*a + 5588. Calculate the common denominator of o and a.
9
Suppose -6*m - 30 = -7*m. Let p = -252 - -146. Let c = -86 - p. What is the smallest common multiple of c and m?
60
Suppose 140*p - 31*p = -46*p + 13950. Calculate the least common multiple of 561 and p.
16830
Let k be (-2)/(3/(-3)) - (-36)/(-4). Calculate the common denominator of -99/10 and k/56 - 31/296.
370
Let c(v) = v**3 + 5*v**2 - 808*v - 60. Let r = 59 + -37. What is the lowest common multiple of c(-31) and r?
22
Calculate the least common multiple of 2928 and 4 - -2679 - (-28 + 27).
32208
Find the common denominator of (0/3 - (31196/(-7800) - -4))*151 and -17/9.
5850
Suppose -f - 10 = -12. Suppose 0 = 4*t, -5 - 1 = -f*o + 5*t. Find the common denominator of (1 - (o + -1))*(-54)/2 and -67/6.
6
Calculate the common denominator of 49/306 and -4*(-33363)/10472 + -13.
2142
Suppose 2*c + 4*h - h = -15, 3*h = 5*c + 27. Find the common denominator of 110/c - 12/36 - -4 and (-60)/(-14)*112/72.
3
Let b(j) = 108*j - 654. What is the lowest common multiple of b(9) and 24?
1272
Let n = -216 - -213. Calculate the least common multiple of 3 + (-6 + n)*-6 and 15.
285
Let z = 38053151/1404 - 2647859/52. Let k = z + 23815. Find the common denominator of k and 1/18.
54
Let l = -236 - -212. What is the common denominator of (-74494)/(-6384) + -13 + (-1 - -2) and l?
456
Let p = 1298 + -16898/13. Let o = -491/104 - p. Let u = 512/33 + -11527/660. Find the common denominator of u and o.
40
Let r(m) = m**3 - 6*m**2 - 2*m + 34. Let v be r(6). Calculate the common denominator of (4 - 4) + ((-69)/v - -1) and 3/164.
180