st common multiple of t and 2?
22
Calculate the common denominator of (4/(-36) - (-4)/(-36))/((-84)/(-111)) and 104/315.
630
Let i be (8194/5)/(84/175). Let c = i + -3400. Calculate the common denominator of 2 + (47/(-20) - 0) and c.
60
What is the common denominator of (4/2910)/((-2)/(-370)) and 7 - (-122)/(-16) - (-8 - (-2544)/128)?
582
Let y be (1 - 35/14)/(3/(-4)). Suppose -30*o + 32*o = -y*t + 14, -5*o = -5*t - 25. Let s = 18 + -11. Calculate the smallest common multiple of s and o.
42
Let p = -3385673/126 - -26870. Find the common denominator of p and 109/90.
630
What is the common denominator of -44/5 and (186/310)/((-32067)/(-380))?
53445
Let t be (0 - (-4869)/12)/((-526)/(-3)). Let k = 16/263 + t. Calculate the common denominator of k and 111/14.
56
Let n be (-1)/(-5) - (-80804)/(-20). Let u be n/(-8075) + 2/(-4). Let h = -140497/25840 - u. What is the common denominator of h and -131/18?
144
Let i = -347 + 1459/4. Find the common denominator of 113/15136 and i.
15136
Let i = -157 + 187. What is the least common multiple of 9 and ((-15)/i)/(3/(-36))?
18
Let b = 748 + -745. Suppose -b = 11*p - 25. Let c = 29 - -9. What is the lowest common multiple of c and p?
38
Suppose -5*r + 20 = 0, -2*y - 43*r + 2410 = -45*r. What is the lowest common multiple of y and 104?
9672
Suppose 138 = -13289*l + 13358*l. What is the least common multiple of 3972 and l?
3972
Suppose -36615 = -2*j + r + 2*r, -5*j = -5*r - 91525. Let t be (-52135)/j + (-2)/12. Let f = -4/61 - t. Calculate the common denominator of -109/18 and f.
180
Let m = 7 + 80. Let b = m - 51. Find the common denominator of -3 + 56/b + 0 and -187/30.
90
Suppose 371*d - 374*d - 91 = -4*s, 11*d + 130 = -s. Let f(x) = -x + 7. Let t be f(0). Suppose -t = -2*r + 5. Calculate the lowest common multiple of r and s.
78
Let g = -3243/308 - 94/77. Calculate the common denominator of ((-1)/(-8))/((-54)/(-3576)) and g.
36
Calculate the common denominator of 81/20 and 3 + (7692/(-1344) - -3).
560
Let o = -283 + 268. Calculate the common denominator of -101/18 and 40/(-100) + (-256)/o.
18
Suppose 0 = 9*c + 1074 + 942. Find the common denominator of 7 - (-3 - 2152/c) and 15/148.
1036
Let q = 1307 + -1273. Suppose 192 = 6*y - 3*y. Calculate the least common multiple of q and y.
1088
Suppose -30 = 7*b + 5. Calculate the smallest common multiple of (-2)/b*14 - (-66)/(-110) and 20.
20
Suppose 4*b - 4*y = 80, 5*y + 46 = 2*b - 0*y. What is the lowest common multiple of 34/(-3927)*-7 + 8013*(-3)/(-297) and b?
162
Let h = 169 - 9. Let f = -127109 + 127253. What is the lowest common multiple of h and f?
1440
Let f = -654/499 - 7270687/3992. Let l = 1827 + f. Calculate the common denominator of l and (-32)/4 - ((-356)/48 - 4).
24
Let t be (-2 + 44/(-10))*440/(-16). Suppose -t - 660 = -4*f. Let g = f + -571/3. Find the common denominator of 50/21 and g.
21
Suppose -2*p + 5*a + 150 = 36, -5*a + 228 = 4*p. What is the least common multiple of ((-4)/(-4))/(2/30) and p?
285
Let d = 226474/2006785 + -7/3317. What is the common denominator of 61/55 and d?
605
Let c = -12595 - -12596. Calculate the smallest common multiple of 797 and c.
797
Let j = 1434 + -10075/7. Let f = -72 + 106. What is the common denominator of -2 - (f/85 - 123/20) and j?
28
Let l = 6912 - 1126652/163. What is the common denominator of l and 4 + 5 - 1 - (-594)/(-42)?
1141
Let a = -579 + 571. What is the smallest common multiple of 60 and (-4)/((2 + 20/a)/1)?
120
Suppose 19*t + 107 = 411. What is the smallest common multiple of 64 and t?
64
What is the smallest common multiple of ((-656)/12)/(8/6*(-20)/200) and 5?
410
Let m(z) = 8*z**2 - 90*z - 54. Calculate the lowest common multiple of m(13) and 282.
18048
Let d(a) = 4*a**3 + 6*a**2 - 11*a. Let o(f) = 3*f**3 + 5*f**2 - 11*f. Let x(u) = -2*d(u) + 3*o(u). Calculate the smallest common multiple of x(-5) and 3.
15
Let c(j) = j**2 - j - 12. Let s be c(-6). Suppose -s*a = -14*a - 960. What is the least common multiple of a and 15?
60
Let c be 2 + 0 + 1041/(-537). Let x = -6166/1611 - c. Calculate the common denominator of x and -43/171.
171
Let b be ((-105)/(-6))/(4/(-88)). Find the common denominator of (7 - 483/70)/((-16)/b) and -1/16.
32
Suppose -81*x = -1165 + 434 - 889. What is the least common multiple of x and 7556?
37780
Suppose 7*q - 335 = -3*r, -q = -4*r - 437 + 987. Calculate the smallest common multiple of 1217/9 + (-4)/18 and r.
135
Let h = 27570 + -3418613/124. Find the common denominator of -109/186 and h.
372
Suppose 0 = -11*u + 16*u - 4*i + 19, -u + 31 = 5*i. What is the smallest common multiple of 10358 and u?
10358
Let b = -67 + 69. Suppose 0 = 2*y + y + 4*r - 52, 32 = 2*y + b*r. Let q = 20 - 8. Calculate the least common multiple of q and y.
12
Let i be (-4)/((-10)/(-6) - (-2)/6). Let r = 11303/1380 - 204/115. Calculate the common denominator of r and ((-1)/i)/(45/390).
12
Let o(n) be the third derivative of -7*n**6/30 - n**5/30 + n**3/6 - 3*n**2. Suppose -671*j = -126*j - 14715. What is the lowest common multiple of o(-1) and j?
27
Let r = -739 + 689. What is the common denominator of r and -5/256?
256
Let q(l) = -172*l + 40. Let g be q(4). Calculate the common denominator of (388/g)/(8/24) and -61/24.
216
Let q be ((-40)/1556)/(2/(-12)). Let s = 31973/37344 + q. Find the common denominator of s and 83/60.
480
Let q = 14 - 10. Let m(z) = z**3 + 9*z**2 + 10*z - 13. Let i be m(-7). What is the lowest common multiple of q and 24/(5*i/50)?
16
Let t = -44880 + 14682. Let z = 188172/7 + t. Let b = -3323 - z. Calculate the common denominator of b and -14.
7
Calculate the common denominator of 47/399 and 110/(-63)*(-78)/(-156).
1197
Let q(t) = t**3 + 17*t**2 + t + 19. Let b be q(-17). Suppose 4*p - 2*p = -10, 0 = n + b*p - 20. Find the common denominator of (-4)/n*321/4 and -5/3.
30
Suppose 5*j - 55 = 3*s, 2*j - 6 = -144*s + 142*s. What is the lowest common multiple of 20 and j?
40
Let y be 2 + (-24842)/2280 + 0. Let p = y + 185/57. Let w = -37/511 - 39111/17374. What is the common denominator of p and w?
340
Let s = 6840 + -47836/7. Find the common denominator of s and -41/731.
5117
Let f = -19073 + 515035/27. Let b(l) = -l - 20. Let n be b(-21). What is the common denominator of n + 15/(-21) + (-1322)/(-420) and f?
270
Let o be ((-5)/(-3))/((-17)/714*-14). Suppose 4*h - 20 = -4. Suppose -o*b + 26 = -h. What is the smallest common multiple of b and 20?
60
Suppose 6*r - 124 = 2*r. Let c = r + -27. Suppose 0 = -k - c*k - z + 5, -k + z = -7. What is the smallest common multiple of k and 3?
6
Let p(r) = -8*r**3 - r**2 + 1. Let x(l) = l**3 - 6*l**2 + 9*l - 7. Let c be x(5). Suppose 17*a - 4*a = -c. Calculate the lowest common multiple of 10 and p(a).
40
Let m(o) = -8*o**3 - 6 - 9*o**2 + 22*o**3 - 2*o - 15*o**3. Let h = -117 + 135. What is the smallest common multiple of m(-9) and h?
36
Suppose 51*s = 54*s - 33. What is the smallest common multiple of s and (-3)/5*(-28 + 3)?
165
Let p = -2332/21 - -25469/231. Calculate the common denominator of -91/330 and p.
2310
Let y be (-28)/10*15/(-6). Suppose -9*u = -y*u + 8. Let m(d) = d**3 + 5*d**2 + 3*d + 6. What is the lowest common multiple of 42 and m(u)?
210
Let h = 2876 - 2861. Find the common denominator of h and -26/2695.
2695
Let o(s) = s**2 + 15*s - 26. Let t be o(2). What is the common denominator of 119/36 and (914/t + -1)*(-25)/450?
72
Let t be 153696/180*6/4. Let u = 1275 - t. Let h = 16949/6 + -2831. What is the common denominator of h and u?
30
Let y = -46487/159060 + 116/723. What is the common denominator of y and -41/1860?
20460
Suppose 132*x + 690 = 5*f + 129*x, 0 = 5*f - 2*x - 690. What is the least common multiple of 302 and f?
20838
Let c be ((-18)/(-12) + -1)*0. Suppose c = -6*t + 2*t + 12. What is the smallest common multiple of t and 71?
213
Suppose 120*z = 22*z - 45*z + 530673. Calculate the least common multiple of z and 2.
7422
Suppose 0 = 5*p - 3*p + 8. Let w(m) = 1319*m. Let x be w(p). Let b = x - -89660/17. Find the common denominator of b and -58/3.
51
What is the common denominator of -95/1104 and 7980/(-630)*(-3)/(-864)?
9936
Let h(y) = -y**3 + 3*y**2 - y - 1. Let l be h(2). Let f be (0 + l - 16)/1. Calculate the common denominator of -31/10 and 187/(-42) + 5/f.
70
Let o = -112376159/646 + 173957. What is the common