ose 0 = 5*h + 4*r + 181, 0*h - r = -4*h - 128. Calculate the common denominator of (-130)/39*h/112 and -81/14.
56
Calculate the common denominator of 145/966 and 17 + -2 - (-10548154)/(-703340).
53130
Calculate the common denominator of (-100)/(-800) + 3546/352 + 10/(-1) and 20/6*54/(-448).
1232
Suppose -3591 = -32*w + 1497. Calculate the lowest common multiple of 234 and w.
12402
Suppose 25*c - 120 = 29*c. Calculate the common denominator of -137/18 and 2/((-16)/c)*1836/270.
18
Find the common denominator of 4/36 + 0 - ((-2191)/(-36))/7 and -71/3292.
9876
Suppose -56*q + 367 = 143. What is the least common multiple of q and 6664?
6664
What is the common denominator of ((-43677)/(-432))/(-211)*(2/(-3))/(-1) and 2/170*(-610)/(-12)?
1224
Suppose 0 = f + 4*j + 15, 3*f = 4*f + 3*j + 10. Calculate the common denominator of 390/(-48)*(-1)/f and 5 - 66/(-8) - -5.
8
Suppose 0 = -9*c - 252 - 108. Let o = c - -50. Suppose -d + 9 = -3. Calculate the smallest common multiple of d and o.
60
What is the common denominator of -1 - 6 - 222/(-2835)*85 and 149/2646?
2646
Let n = -999 + 2220. Let h = n + -6144/5. Find the common denominator of h and -23/18.
90
Suppose -4*a = -9*a + 140. Suppose -64*o + 60*o = -a. Suppose 5*k = o*k - 30. Calculate the least common multiple of 3 and k.
15
Let h be (2/5)/(-6 - (-455)/75). Let a be 2/(-11) + (432/(-88))/h. What is the common denominator of 40/11 and (-406)/(-35)*(0 + a)*1?
55
Calculate the common denominator of (-3232)/115752 - (-2)/39 and 43/12.
4452
Suppose 0 = 3*i - 6*i + 69. Let g = -14 + i. Calculate the smallest common multiple of g + -1 - (-3 - -5) and 3.
6
Let a = 1788749/8680 + -19150/93. What is the common denominator of 71/135 and a?
7560
Let u = -166 - -154. Let c = -2/3387 - -321797/54192. Calculate the common denominator of c and u/15 + 1505/(-150).
48
Let d = -1464975/449 - -1116760905/41308. Let k = d + -23772. Find the common denominator of k and -65/12.
276
Calculate the lowest common multiple of 180 and (-8)/(-10) - 17290/(-325).
540
Suppose 6 = u - 4. Let h(w) = -w**2 - 7*w - 10. Let t be h(-5). Suppose -3*g + 0*n = n - 32, t = -2*n - 8. What is the smallest common multiple of u and g?
60
Let x(a) = 7*a**2 - 20*a - 3. Let r be x(5). Find the common denominator of ((-139)/r)/(155/20 + -7) and 97/8.
216
Suppose -y - 386*d = -390*d - 3469, 0 = 4*y - 2*d - 13960. Calculate the least common multiple of y and 49.
24451
Let q(b) = -2*b**3 + 12*b**2 + 117*b + 55. What is the lowest common multiple of q(-6) and 155?
1085
Suppose q + 5*y = -365 - 51, -4*q - 1700 = 2*y. Let t = q - -438. Calculate the lowest common multiple of 212 and t.
636
Suppose -2*s + 31 = -9. Let i(o) = -2*o - 50. What is the smallest common multiple of s and i(-31)?
60
Let c = 55580307/475931 + -264425/2812. Let u = c + 3/1354. Calculate the common denominator of u and ((-213)/33 - -3) + 3.
44
Let h = -267062/9 - -157628239/5310. Let b = h + -101/59. What is the common denominator of 1/(-1) + 588/176 and b?
220
Suppose 0 = -0*i + i. Let s(k) = k**3 + 9*k**2 + 12*k - 2. Let v be s(-2). Find the common denominator of 262/20 + (i - v) and -1/6.
30
What is the smallest common multiple of ((-480)/18)/(26/(-78)) and 65?
1040
Let n = -23 + 22. Calculate the common denominator of 10/22*-3*2 and 56/(-10) + n + (-1 - -3).
55
Let w = -12352 + 13424. What is the smallest common multiple of w and 134?
1072
Let b(l) = -l**2 + 20*l + 195. Let g be b(29). Calculate the common denominator of (-380)/g - 62/93 and 7/6.
66
Suppose 163 = -18*q + 631. What is the common denominator of 57/4 and (-1134)/5200 + q/(-325)*1?
104
Suppose -99*t + 96*t - 879 = 0. Let r = -609/2 - t. What is the common denominator of 5/642 and r?
642
Suppose 81*f - 130311 = -8649. Calculate the lowest common multiple of 2 and f.
1502
Let v = 23376 - 22650. What is the least common multiple of v and 2046?
22506
Suppose -2*i + o = -15, 0 = 4*i + 5*o - 28 - 9. Let b = -14302 - -1344409/94. Find the common denominator of ((54/(-28))/3)/1*i and b.
658
Calculate the common denominator of -33/5 and (12/(-16))/((-21)/2)*936/320.
560
Let b = -75/737 - -83333/29480. Let l = -473/36 + 98/9. What is the common denominator of b and l?
40
Let q = -309668212 + 18579363553/60. Let j = 48587/4 + q. Let h = 29983 - 359827/12. What is the common denominator of h and j?
60
Let u = -3329/2079 - 104/189. Find the common denominator of u and -67/5718.
62898
Let c be -3 + 4032/(-8 - -2). Let z = c - -699. Calculate the least common multiple of z and 6.
24
Let s(g) = 7*g**2 - 8*g - 3. Let w be s(-3). Suppose -72*x - w = -78*x. Suppose 4 - 2 = q. What is the smallest common multiple of q and x?
14
Suppose 1345 = 27*x + 967. Calculate the least common multiple of x and 304.
2128
Let q be (2 - -70)*(-4079)/(-2). Let c = 2341280735/15944 - q. Let v = 868941/111608 - c. What is the common denominator of 25/2 and v?
14
Let n = 2/1028639 + -103894203/855827648. Calculate the common denominator of n and 77/4.
832
Let g(n) = n**3 - n**2 - 72*n + 524. What is the lowest common multiple of g(17) and 327?
3924
Suppose -50*t + 443 - 43 = 0. Let c(j) = 2*j**2 - 15*j + 20. Calculate the smallest common multiple of 16 and c(t).
112
Let h(a) = -a**2 + 12*a + 11. Let t be h(13). Let c be -1 - 2 - (t + -10). Let k(f) = f**2 - 5*f + 2. Calculate the smallest common multiple of k(c) and 10.
190
What is the common denominator of 2/(-38) + 7458/35568 and 161/390?
1560
Suppose 0 = 5*w - 6*w - 71. Let m = 86 + w. Find the common denominator of -40/3 and -3 - m/126 - (-2)/(-4).
21
Let m be (-9)/2 - -8*2/(-32). Find the common denominator of 138/8 + -1*2 and (m + (-22)/(-4))*5*2.
4
Suppose -19*j + 283 + 130 = -100. Calculate the least common multiple of 6993 and j.
6993
Let h be 555178/40 - 26/(-104). Let m = -13891 + h. Find the common denominator of 181/30 and m.
30
Suppose v + 2 = 0, y - 224 = 6*y - 3*v. What is the least common multiple of y/(-5) - 3/15 and 528/192*(-4)/(-1)?
99
What is the least common multiple of 3828 and ((-182)/(-65))/((-9)/(-7830)) + 0?
26796
Let c(m) = -m**3 + 15*m**2 + 59*m - 66. Suppose 5*o = -2*d + 4*o + 19, 4*o + 8 = 4*d. What is the least common multiple of c(18) and d?
168
Suppose 3*s + 3 = 0, -4*x + 5 = -2*s - 5. Let j(m) = 5 - x*m**2 - m**3 + 3 + 0. What is the smallest common multiple of j(0) and 60?
120
Let b = -260780/33 - -7903. What is the common denominator of 8/864*-4*52 and b?
297
Let a = -553370 - -1496312511/2704. Calculate the common denominator of 3 and a.
2704
Let u be ((-2)/(-3))/((-6)/9)*216. Let h be ((-1)/(-1) + 4)/(2034/u). Let l = 8899/904 - h. Calculate the common denominator of -113/20 and l.
40
Let h = -21 + 27. Let t(w) = w**2 - 3*w - 10. What is the smallest common multiple of 7 and t(h)?
56
Let k(q) = -13*q**3 - 11*q**2 - 46*q + 4. Calculate the smallest common multiple of k(-6) and 10.
13460
Let v = -7876 - -7907. What is the lowest common multiple of 1333 and v?
1333
Let i be 2130/16*(-464)/(-24). Let j = i + -2590. Find the common denominator of j and -34/11.
44
Suppose -3*v - 5*j = -698, 5*v - 209 = j + 945. What is the least common multiple of 132 and v?
924
Let p = 4164 - 3984. What is the lowest common multiple of 216 and p?
1080
Let n = 15108/271 - 20579399/369644. Calculate the common denominator of n and -137/744.
8184
Let a = -4216523/94 + 44856. What is the common denominator of a and 48/517?
1034
Let f = -36 - -81. Let i = -39 + f. Calculate the lowest common multiple of 10 and 7*1 + (i - 7).
30
Let q be 20/5 - (3 + 0). Suppose 6*y - q = 17. Let b(t) = t**3 - 3*t**2 + 4*t - 7. What is the least common multiple of 32 and b(y)?
160
Let d = 50/2811 + -130912/722427. Calculate the common denominator of d and (-4862)/238 - (-4 - 11).
1799
Let w be ((-16)/20)/((-4)/50). Calculate the common denominator of 5/w*(-5)/12 and 168/(-9) - ((-4)/(-1) + -6).
24
Suppose -6*p = -26 - 544. Suppose p + 38 = 7*r. Suppose r*l - 480 = 14*l. What is the least common multiple of l and 22?
1056
Let q be (-3)/((-2)/((-2328)/(-18))). Find the common denominator of (-126)/(-10) + 2/(-4) and q/27*(-159)/212.
90
Let g(n) = -3*n - 30. Let f be g(-9). Calculate the common denominator of (f/66)/(3/222) and -14/39.
429
Suppose -18 + 53 = 5*g. Suppose 2*b - 10 = -g*q + 4*q, 3*q + 5*b = 16.