 = 1155524/355 - 3255. Let s = 13497/2485 + b. Find the common denominator of s and 149/30.
210
Let s = 95935/17264 - -6/1079. Find the common denominator of s and -21/88.
176
Let t(u) be the first derivative of u**4/4 - 10*u**3/3 + 5*u**2/2 - 2*u - 15. Let v be t(5). What is the common denominator of -19/10 and v/16 - (21 + -23)?
40
Suppose 9*n = 280 + 152. What is the least common multiple of 15 and (-8 + 656/n)/((-1)/(-18))?
510
Let b = 446238683/175 + -18482768736302/7248325. Let t = -2/5917 + b. What is the common denominator of t and 37/6?
294
Let m(g) = 4*g**2 - 8*g + 1. Suppose -a + 4*r = -3*a - 2, a = -3*r - 3. Let c be -2 - (11 - a)*(-2)/4. Calculate the lowest common multiple of m(c) and 8.
8
Let w be (-702214)/140 + 1 + (-94)/329. Let u = -5005 - w. Find the common denominator of u and (-2)/9*(-159)/(-12).
90
Let r(d) = -d**2 + 41*d + 575. Let j be r(52). Suppose -171 = 6*o - 5*o. What is the common denominator of 47/55 and (13/3)/(76/o) - j?
220
Let o = 35 + -25. Let y be -2*(-4 + 15/o). Find the common denominator of -149/54 and ((-1)/y)/(32/1780).
216
Let h = 11505953/130 - 88508. Find the common denominator of h and -46/143.
1430
Let w be 31 - -249 - 8/(-2). Let t = -260 + w. What is the least common multiple of t and 14?
168
Let y = -23903/6 - -3972. Let k = 259/12 + y. Calculate the common denominator of 1/8 and k.
8
Let l = -27/8 - -3. Let z be (386/37)/(5 + 292/(-36)). Let a = z - 16/37. Find the common denominator of l and a.
56
Let b be 429/14 - (4 + 0). Let g = 34/7 + b. Let r = 1/3228 - -14324/807. What is the common denominator of r and g?
4
Let r(w) = -12*w**2 + 7*w + 18*w**2 - 7*w**2 + 18. Let p = -11 + 47. Calculate the least common multiple of p and r(6).
72
Calculate the lowest common multiple of 352 and 48/(-21)*1*-140.
3520
Suppose 20 = 3*p - 49. Let t be (-6)/(-18) - -7*(-14)/(-3). Let z = t - p. What is the least common multiple of 14 and z?
70
Let r = -56706361/128304288 - -2/572787. Calculate the common denominator of r and 9/1568.
1568
Let r(p) = 5*p + 75. Let o be r(-26). Let f = -37 - o. Let j(x) = x**3 + 9*x**2 + 8*x + 9. What is the lowest common multiple of f and j(-8)?
18
Let k = 4576 - 4111. Calculate the lowest common multiple of 155 and k.
465
Let z = 1211123/211662 - -3/11759. What is the common denominator of 97/372 and z?
1116
Let f = 19261135/822 - 23432. What is the common denominator of f and 35/33?
9042
Find the common denominator of 783/7854 - (-216)/(-612) and -61/665.
14630
Suppose -4*m + 4*q + 55640 = 0, -2*m + m = 4*q - 13900. Suppose -4*b - m = 14832. Find the common denominator of -29/18 and b/(-4950) + (-2)/15.
198
Let q be ((-2)/(6/(-7)))/(2/(-6)). Calculate the smallest common multiple of (2232/q)/(-9) - 8/(-14) and 51.
612
Let n = 1615 + -11276/7. What is the common denominator of ((-69)/(-92))/(69/(-4))*-3 and n?
161
Let p = -441547/33 - -13379. Let i = -260/127771523 - -21034655443081/6352289037468. Let n = 8/1381 - i. Calculate the common denominator of n and p.
396
Let c = -2651 + 3230. What is the smallest common multiple of c and 87?
16791
Let t be 2 - (-2 - (3 - 1 - 4)). Let c be (-1 + (-594912)/21)*1/t. Let w = c + 14158. Find the common denominator of 181/30 and w.
210
Suppose 0 = 9*p + 23 + 4. Let o = p - -68. Suppose -25 = -5*g + o. What is the least common multiple of g and 2?
18
Let b(a) = a**2 + 15*a - 46. Let o be b(-18). What is the smallest common multiple of 22*o/16 - 1 and -2*(-5 + 2 + -2)?
10
Let d = -47642902313/60060 - -5552789/7. Let n = 2/429 - d. Calculate the common denominator of n and -63/274.
2740
Let a = -12413255 + 262465863629/21144. What is the common denominator of a and -9/20?
105720
Suppose -3*n + 12 = -n. Let b(w) be the third derivative of w**5/60 + w**4 + 73*w**3/6 + 18*w**2 - 3*w. What is the least common multiple of b(-21) and n?
30
Suppose 81*b - 4063 = 6*b + 1187. Let q(d) = d**2 + 3*d. Calculate the lowest common multiple of b and q(-5).
70
Suppose 5*q + 126 = k, 4*k + k = 2*q + 538. Let y = 769/6 - k. What is the common denominator of y and -3 + 7 - (459/14)/3?
42
Let g = 2323653 + -4136102229/1780. Find the common denominator of 83/80 and g.
7120
Let p = 11181694617684144553/2795 - 4000606373103406. Let r = 69817488 + p. Let l = -3/430 - r. What is the common denominator of -51/14 and l?
182
Suppose 2*h = 4*h + 70. Let c = -1581 - -6271/4. Calculate the common denominator of h - (4 - (-36)/(-8)) and c.
4
Suppose -2*u + 288 = 3*t, 0 = 3*u - 7*u + 5*t + 576. Let c = 61/72 + -1013/360. Calculate the common denominator of -4*6/(u/(-140)) and c.
30
Suppose -32 = 2*w - 40. What is the common denominator of ((-58)/36)/(w/12 - 1) and 35/17?
204
Suppose 66191 + 7836 = 25*y - 17548. Calculate the least common multiple of 999 and y.
10989
Let j(o) = o**2 + o - 2. Let r = 9 - 0. Suppose 0 = 4*k - 3 - r. What is the least common multiple of j(k) and 10?
10
Let o = -615 - -635. Let k(u) = 5*u - 6. Calculate the lowest common multiple of k(4) and o.
140
Suppose 6056 = 2*x - 5*c, 5*x - 1409*c + 1408*c = 15140. What is the lowest common multiple of 20 and x?
15140
Suppose -8*t - 33*t = -328. Suppose 22*y = t*y + 112. Let v(a) = 3*a**2 + 4*a + 3. What is the smallest common multiple of v(-3) and y?
72
Find the common denominator of ((-28)/(-3)*1716/208)/(2 - -200) and 27/230.
23230
Let t = -6262 - -7078. What is the lowest common multiple of t and 544?
1632
Let n = -348 - -489. Let q = -1414291 + 1414299. What is the common denominator of q and 2/7 + n/(-28)?
4
Suppose 0 = 4*t + 5*z + 7 - 27, -38 = -3*t + 2*z. Let f = -3162 + 3262. What is the lowest common multiple of f and t?
100
Suppose 0*n - 5*n + 100 = 0. Let l = 781 - 765. Calculate the smallest common multiple of l and n.
80
Suppose 5*h = h + 160. Suppose -11*b + h = -10*b. Let m = b - 32. What is the smallest common multiple of m and 9?
72
Suppose 1367 = 2*a - 75. Suppose l = -5*c + 3414 - a, -2*l = 4*c - 5398. Calculate the common denominator of (-3)/(-8) + l/952 and -5/32.
224
Suppose 2*c - 75 = 24*z - 29*z, c - 3*z = -1. What is the least common multiple of c and 3524?
17620
Suppose -5*t = 30*c - 35*c - 60, 0 = -4*t - 5*c + 3. Calculate the lowest common multiple of t and 44.
308
Suppose -10*z + 208 = -502. Let x = z + -69. Find the common denominator of (-55)/(-60) + 1/x and 101/22.
132
Suppose 21*t - t + 160 = 0. What is the lowest common multiple of (-2*(-2)/t)/(9/(-18)) and 2?
2
Let w = 71472 + -71060. Suppose 16 = -4*j, z - 4*z + j = -28. What is the smallest common multiple of w and z?
824
Suppose -4608*t - 11152 = -4625*t. What is the lowest common multiple of 72 and t?
5904
Let r(d) = 6*d**2 - 38. Calculate the least common multiple of r(5) and 210.
1680
Let w = -61052 - -15385001/252. Calculate the common denominator of -58/63 and w.
252
Suppose -40 = -8*q + 3*q. Let v(k) = 5*k**3 - 18*k**2 - 4. Suppose 3*z - 59 + 47 = 0. Calculate the smallest common multiple of q and v(z).
56
Find the common denominator of -67/14 and -7*(-36)/(-315) - 1*12148/(-14760).
5166
Suppose 3*r + 4*l - 3132 = 2*l, -4*r = -4*l - 4136. Calculate the lowest common multiple of r and 12.
3120
Suppose 3*d - 113 = 877. Let g = d - 4299/13. Calculate the common denominator of g and -4 - 4/(128/(-356)).
104
Let j(p) = 8*p + 25. Let k be j(-3). Calculate the common denominator of (-88)/(-6) - (0 + k)/(-3) and -31/24.
24
What is the common denominator of -49/54 and 3/(-2) + (24/5)/(1134/420)?
54
Let s = -1 + 10. Let x = 519 + -590. Calculate the smallest common multiple of s and x/(-7) - (11 + (-1140)/105).
90
Suppose 4*s - 5 = 3. Let j be 3/s*(-18)/(-27). Suppose -5*v + 5 = 5*o, -v + j = 4*o - 2*o. Calculate the smallest common multiple of 6 and v.
6
Find the common denominator of -143/3450 and 51*306/(-648) + 12.
6900
Suppose -5*o + 348 = 2*b, b + 4 = 2*b. What is the lowest common multiple of 408 and o?
408
Let p = 5888 + -5416. Calculate the smallest common multiple of 40 and p.
2360
What is the smallest common multiple of 244 and 1/((-6)/92)*(16 - 1292/38)?
16836
Suppose 14*v = -163 + 275. What is the smallest common multiple of 696 and v?
696
Let o = -50 + 48. What is the smallest common multiple of (-24)/18*(-27 + o + 2) and 6?
36
Suppose 5*g - 3*g + 2 = -u, u + 4*g = -12. Calculate the common denominator 