
1760
Suppose 10 + 2 = -2*k - 2*y, 2*k + 12 = 4*y. Find the common denominator of -41/4 and k - (16331/(-1428) + 5).
204
Let p = -5677 - -5741. Let w(a) = a**2 + 3*a + 7. What is the lowest common multiple of w(-4) and p?
704
Suppose 24*c + 3861 = -15*c. Calculate the common denominator of ((-44)/c)/((-1)/(-2)) and (-6)/(-14)*18/4.
126
Let n = 56 - 29. Let m(u) = 69*u + 47 + u**2 + 63*u - 217*u + 64*u. What is the least common multiple of n and m(20)?
27
Let f(v) = v**2 + 15*v - 10. Let n be f(-8). Let q = 87 + n. Suppose 4*h - q = 3*h. Calculate the lowest common multiple of 21 and h.
21
Let q be ((-876)/(-16))/(140/(-32) + 4). Calculate the least common multiple of (73/q)/(1/(-12)) and ((-8)/20)/((-1)/40).
48
Let n be (3 + 4 + 2)*(-70)/60. Suppose -3*g + 40 = 2*g + 5*q, -4*q = 3*g - 21. Let i = n + g. What is the common denominator of -35/52 and i?
52
Let k be (-1149)/(-7410) + 2/(-13). Let v = k - 39961/363090. Calculate the common denominator of v and -137/84.
588
Suppose -4*d + 128 = -0*d. Let z(g) = g**2 + 43*g - 46. Let n be z(-44). What is the smallest common multiple of (144/30)/(3/(-10))*n and d?
32
Let r(v) = -v**3 + 50*v**2 + 58*v - 321. Calculate the smallest common multiple of r(51) and 108.
108
Suppose f - 3*z = 13, 2*f + 0*f - 14 = 3*z. Let o = 4060 + -4058. Find the common denominator of -57/5 and 0 - f - o*(-79)/(-12).
30
What is the common denominator of 21/313 and 378/(-12)*6/(-9)*2/(-24)?
1252
Find the common denominator of 21/(482328/276727) - (9 - -3) and 31/9.
2088
Calculate the common denominator of ((-69)/46 + -2)/((-10)/(-7)) and -1/1756.
8780
Suppose -u - 84 = 3*b, -22 - 62 = 3*b + 3*u. Suppose -f + 3*z - 8 = 0, -2*f + 12 = 3*f - 2*z. Calculate the common denominator of 8/((288/b)/f) - 0 and -7/26.
234
Let a be 4/(-12) + (-158)/(-6). Let g(q) = q - 5. Calculate the least common multiple of 42 and g(a).
42
Suppose 4*q + v - 5 = -2*v, -5*q = 4*v - 6. Suppose 3*w + 12 = -0*m - 3*m, -3*m - 32 = -q*w. Let a = m - -16. What is the least common multiple of a and 5?
40
Let f(t) = 53*t**2 - 35*t - 129. What is the smallest common multiple of 12 and f(-6)?
7956
Let v = 75/2 - 997/24. What is the common denominator of -42/37 and v?
888
Calculate the common denominator of (-6)/4*(-14 - 17/((-1020)/545)) and -85/8708.
17416
Let m = 607 + -602. Find the common denominator of (-6)/672 + m + (-3)/7 and ((-3)/22)/(3/5).
176
Let y(m) = 39*m**2 - 1481*m + 54. What is the lowest common multiple of 36 and y(38)?
828
Let m(t) = t**3 - t**2 - t + 6. Calculate the smallest common multiple of ((-116)/4 + 33)*2/2 and m(0).
12
Suppose -r = 2*i - 184, 2*r + 497 = 3*i + 200. What is the smallest common multiple of i and 209?
1045
Calculate the common denominator of (-2 - -4)/12 + (21125/(-351))/25 and -173/90.
270
Let y(g) = -11*g + 12. Calculate the lowest common multiple of y(-13) and 5.
155
Find the common denominator of -33/232 and ((-637)/(-1421))/((-7)/4).
1624
Let v = -30279 - -484451/16. Calculate the common denominator of v and 77/820.
3280
Let b = 95337/14 - 64495960/9471. Find the common denominator of 31/902 and b.
2706
Let r(u) = 6*u**2 + 2*u + 1. Let s be r(-1). Find the common denominator of ((-9)/162)/((-20)/(-975)) and (s - 1) + 414/(-88).
264
Let s = 34 + -35. Let x be (1/(-3))/(s/6). Suppose 0 = -f + x*f - 20. What is the least common multiple of 20 and f?
20
Suppose -22 = -5*l - 12. Let m be l/(22/(-45) - (-3)/6). Suppose 4*y = 4*b - m, -2*y = 1 - 3. Calculate the smallest common multiple of b and 10.
230
Suppose -13*h - 36*h + 624 = 3*h. Calculate the lowest common multiple of 904 and h.
2712
Let g(t) = 8*t - 142. Calculate the smallest common multiple of 104 and g(19).
520
Let b = -100 - 90. Let g = b + 250. What is the lowest common multiple of g and 60?
60
What is the common denominator of 53/796 and 249/(-398)*(39/(-108) - 10/(-40))?
2388
Let c be -3 + (-9)/2634*227121/(-54). Let m = 20/439 + c. Calculate the common denominator of 43/70 and m.
420
Calculate the smallest common multiple of (88/24 - (-2)/(-3))/(117/1716) and 244.
2684
Let p(u) be the second derivative of -u**5/10 + u**4 + u**3/3 + 2*u**2 + 8*u. What is the smallest common multiple of p(6) and 22?
176
Let r = -18171 + 981263/54. Find the common denominator of r and -103/10.
270
Suppose -703 - 3713 = -184*t. Calculate the least common multiple of t and 60.
120
Suppose 0*n + a - 28 = -n, 5*n + 4*a - 136 = 0. Let q(g) = g**3 - 9*g**2 + g. Let c be q(9). Let x = c + n. What is the lowest common multiple of 24 and x?
264
Find the common denominator of 93/14 and (40/68)/5 - (-40167)/(-441558).
20202
Let m = -6736 + 13417/2. Calculate the common denominator of 475/30*(-3)/(-40) and m.
16
Find the common denominator of (-300)/(-400)*62/9 and 65/51.
102
Let a be 6/(-62)*(-2)/(-19914)*3. Let s = 363918408/514445 + a. Let j = -710 + s. What is the common denominator of 37/10 and j?
10
What is the common denominator of (-1569)/(-270) + (6 - 12) and (356/18)/(16/6)?
180
Find the common denominator of 291*3/204*(-1)/(-6)*-4 and 113/102.
102
Let x = -101 + -40. Let n = -122 - x. Calculate the lowest common multiple of n and 4.
76
Suppose -2*h - 10 = 4*m, 2*h - 4*m = -2 + 8. Let z(s) = -11*s. Let v(w) = -121*w + 2189. What is the least common multiple of z(h) and v(18)?
11
Suppose -210*w = 5344 - 41884. Calculate the lowest common multiple of w and 9.
522
Let l(v) = v**3 + 8*v**2 - 19*v + 9. Let o be l(-10). Let h be -1*((-6)/(-18))/(o/(-12)). What is the common denominator of 131/30 and (h/8)/((-108)/488)?
270
Suppose 3*b - 13 - 2 = 0. Suppose -2*n - 5*p + 4 = -b*n, -5*p = 5*n - 60. What is the least common multiple of (-2)/(-2*2/44) and n?
154
Let g = -1330069/77 + 17274. Calculate the common denominator of 2/5 - (-60)/(-56) and g.
770
Let x = -2/4575 + -132659/36600. Find the common denominator of -38/5341 and x.
42728
Let u = -26 - -26. Let s(q) = q**3 - 3*q**2 + 2*q + 36. Calculate the least common multiple of s(u) and 81.
324
Let j = -3045 + 1775. Let l = 4003/3 + j. Let o = l - 163/2. What is the common denominator of -85/16 and o?
48
Let w = 4287959959/1710 - 2507579. Find the common denominator of w and 113/900.
17100
Let q(k) = k**3 + 96*k**2 + 97*k + 204. What is the least common multiple of q(-95) and 24?
168
Suppose -149689 = 10*j - 446959. Let y = j - 57172. Let b = y + 1399765/51. What is the common denominator of -23/11 and b?
561
Let q = 54/23 - -481/138. Find the common denominator of (-22057)/(-822) + (10 - 1)*-1 and q.
6
Let t = -2914301/97232 + 3079/103. Calculate the common denominator of 59/22 and t.
10384
Suppose 2 + 0 = o. Let s = -24 + 26. Suppose -s*g + 5 = 3*q + 3, 4*q - 5*g = 18. What is the lowest common multiple of q and o?
2
Let p be ((-2)/(-28))/(129/(-6)). Let d = -4517/602 - p. Find the common denominator of -45/26 and d.
26
Let r = -15 + 21. What is the lowest common multiple of (-2073)/(-9) - (-6)/(-4)*4/(-9) and r?
462
Let k be 88 + (-15)/(-10)*-2. Suppose k*j = 90*j - 575. What is the lowest common multiple of 4 and (-2)/4 + j/10 + -3?
8
Find the common denominator of -62/9 and 28/36*(-30)/(-5285).
1359
Find the common denominator of 43/4 and (-1)/(-24)*((-354)/(-9))/(-1).
36
Suppose 5*v + 12*t = -8, -21*t - 85 = -2*v - 16*t. Let g = 263 + -173. What is the lowest common multiple of v and g?
180
Find the common denominator of 11/40 and (-1680)/2100*106/(-400).
1000
Suppose -5*b = 4*l - 20, 0 = 7*l - 4*l - 4*b - 46. Let i = -2494 - -2501. What is the smallest common multiple of i and l?
70
Let k = 3807 - 3411. Calculate the lowest common multiple of 12 and k.
396
Let s = -169 - -1114. What is the lowest common multiple of s and 270?
1890
Let a = 76919384473/7188 + -10701083. Find the common denominator of a and -51/2.
7188
Suppose 8*t = 15*t + 21, t = 2*k - 99. Calculate the smallest common multiple of k and 264.
528
What is the lowest common multiple of 7*(-1776)/(-448) - (-1 + 6/8) and 43?
1204
Calculate the least common multiple of 117 and 60/(-18)*33*52/(-10).
5148
Calculate the least common multiple of 52 and ((-117)/(-27))/((-1435)/360 + 4).
312
Let a = 26821 + -429175/16. Let b be (-71753)/12 + (-2)/2. Let i = b + 5985. What is the common denominator of a and i?
48
Let o = -4/4121 - -226727/74178. Let m be 1726/(-40)*-1 - 