
220
Let s(r) = -r - 12. Let o be s(-11). Let g = o - -7. Find the common denominator of (40/g)/(-1)*(-6)/34 and -69/2.
34
Let u(z) = -z**2 + 3*z + 12. Let t = 5 - 0. Let n be u(t). Calculate the common denominator of 2204/(-360) - n/5*-1 and 101/12.
36
Find the common denominator of (-14*(-10)/50)/(36/13) and -11/170.
1530
Suppose -4*w - 2185 = 47*b - 50*b, -4*b + 2945 = w. Calculate the smallest common multiple of b and 1225.
3675
Let s(q) = q + 20. Let d be s(-6). Suppose d = -9*k + 149. Calculate the least common multiple of 21 and k.
105
Let g = 22425197/347 - 64626. Let y = 20367/11104 - g. What is the common denominator of 49/34 and y?
544
Let a = 7626/25 + -6648247/21800. Calculate the common denominator of 27/4 and a.
872
Let u = 242/722663 + 10050204155/3928396068. Let t = u + 96/151. Find the common denominator of -71/72 and t.
72
Suppose -2*l - 805 = 1153. Let o = l - -2225. Let q = o - 6256/5. Calculate the common denominator of 8/5 and q.
5
Let y = -4144 - -4155. Calculate the least common multiple of y and 1758.
19338
Suppose 80 = 11*j - 19. Suppose -19057 = -j*x + 3695. Let c = x - 60575/24. What is the common denominator of c and -58/3?
24
Let w = -278 - 18771. Let y = w + 647559/34. Calculate the common denominator of y and 11/12.
204
Let w be (-9 - -11)/(2/4) + 535. Let y = -267 + w. Calculate the least common multiple of 918/y + (-6)/16 and 51.
51
Let m(q) = 1097*q - 36. Let w be m(8). Let r = -10452 - w. Let i = r - -1113079/58. Find the common denominator of 21/2 and i.
58
Let u = 7/151 - -239/1359. Let y be 1592/(-10)*(-20)/(-14). Let p = -229 - y. Find the common denominator of u and p.
63
Let d = 143 - 87. What is the common denominator of 27/d*2*(-14)/(-35) and 49/8?
280
Suppose 4*k = -2*a + 60, 4*k + 41 + 67 = 5*a. Let v = -317 + 329. Calculate the smallest common multiple of v and a.
24
Let y(m) be the second derivative of 2*m**3/3 - 3*m**2/2 - 16*m. Let a be y(3). Calculate the common denominator of 20/(-112)*a/(-15) and -97/4.
28
Let r = 188 - 180. Suppose -27*b + 4 = -26*b. Let d = r + b. What is the lowest common multiple of d and 12?
12
Let q(g) = 405*g. Let l(w) = -1620*w. Let s(r) = 2*l(r) + 9*q(r). Let n be s(2). What is the smallest common multiple of n/(-36)*(-8)/6 and 12?
60
Let o = -244 - -242. Suppose -6*t + t = 4*v + 2400, v + 599 = -t. Find the common denominator of -91/4 and o/16*(v/14)/5.
16
Suppose -2*t - t + 69 = 0. Let o = -11 + t. Let r(b) = 6*b - 276. What is the least common multiple of o and r(51)?
60
Let g = 4150 - 24773/6. Calculate the common denominator of g and 64/4011.
8022
Let m = -2380/11 - -278768/1287. Find the common denominator of 29/45 and m.
585
Let o be (-1)/(-7) + (-1648)/11830. Let q = 44827/11830 - o. Find the common denominator of q and -81/10.
70
Let t = 53499 - 5456969/102. What is the common denominator of -137/5100 and t?
5100
Let p = 6025 + -6008. Calculate the least common multiple of p and 0 + 3 + -6 + 5.
34
Let u(i) = 19*i + 205. Let g be u(-11). Let b be ((-6)/7)/((-1)/7). What is the common denominator of (-9)/12*(280/b)/g and -13/24?
24
Let h = -98202 - -981961/10. Let f be (-6962)/4 + -1 - -1. Let w = f - -1693. What is the common denominator of w and h?
10
Let h = -15013/113872 + 3/2588. Calculate the common denominator of h and -97/40.
880
Suppose 0 = -3*a - 249 - 96. Let p = a - -123. What is the smallest common multiple of 32 and p?
32
Let h(o) = o**2 + 8*o - 18. Let b be h(-10). Calculate the common denominator of (-1)/(-2)*48/34 and (-36*(-12)/16)/b.
34
Suppose -5*h + g = -10, -3*h + 3 + 3 = 4*g. What is the common denominator of h/(-324)*-8 - -3 - 3 and -131/72?
648
Suppose -2*p + 2171 - 661 = 0. Suppose p + 582 = -7*f. Let x = -399/2 - f. What is the common denominator of x and 42/13?
26
Suppose 0 = -7294*w + 7265*w + 1508. What is the smallest common multiple of 5 and w?
260
Let j = -404730/11 - -3237807/88. Let t = 573/10 + -6833/110. What is the common denominator of j and t?
88
Let p be (17 + -17 + 1471/7)/(-5). Let u = 183/5 + p. What is the common denominator of 10/7 and u?
7
Let x(w) = w**3 - w**2 - 2*w - 1. Let k be x(0). What is the least common multiple of ((-6)/(k - 1))/(2/4) and 66?
66
Let m be 2/6*2*(-2008557)/(-432). Let f = m + -3112. What is the common denominator of 83/12 and f?
24
Let z be (17392559/66)/((-3167480)/15296). Let w = -1416/79187 - z. Let y = 6374/5 - w. What is the common denominator of -31/27 and y?
297
Suppose 2*c - 6 = 0, 4*w + 0*w - 1 = 5*c. Suppose -w*l = 6*l - 8*l. Find the common denominator of l - -2 - 94/(-40) and -1/18.
180
Let k = -35 - -35. Suppose k = -7*r - 0*r - 14. Let u(o) = 6*o**2 - 2*o - 1. Calculate the smallest common multiple of u(r) and 15.
135
Let u = -197 + 199. What is the common denominator of (5/2 - u)*(-309)/(-27) and -39/4?
36
Let g be 12/(-7 + 3)*(-2)/3. Let f be (1 + 1 - g) + -2. Calculate the common denominator of 131/6 and (-145)/60 - (0 + f).
12
Suppose 2*v - 320 - 22 = 0. What is the lowest common multiple of v and 45?
855
Let s = -11001 + 11002. Calculate the smallest common multiple of 2009 and s.
2009
Let o be (-2 + 2)/(23 + -22). Suppose o*v + 129 = 2*v + 3*u, 2*v - 5*u - 137 = 0. Calculate the smallest common multiple of 12 and v.
132
Let g = 855/28 + 264/7. Let w = -1217/20 + g. What is the common denominator of 31/2 and w?
10
Let a = 2188704 - 183854029/84. Let x = 216/7 + a. Calculate the common denominator of -83/14 and x.
84
What is the common denominator of (-10)/282*(-72 - -79) and 22/705?
705
Let m(k) = -7*k. Suppose -23 = 2*r - 5*x, -5*x + 3*x + 7 = -3*r. Let t = 8 + r. Calculate the smallest common multiple of m(-1) and t.
63
Let q = 182392036/795 - 229424. Calculate the common denominator of 121/20 and q.
3180
Suppose -55*p + 75*p = -6400. Calculate the common denominator of 33/40 and (3 - 2) + (2285/p - -7).
320
Suppose -21*x - 25714 = -5386. Calculate the common denominator of (x/396)/((-14)/12*4) and -49/6.
42
Let i = -1160323 - -2137315057/1842. Calculate the common denominator of 11/12 and i.
3684
Let g = -1968 + 2448. What is the least common multiple of g and 420?
3360
Suppose 0*t + 3*t + 9 = 0. Let b be t*-2*2/6 + 2. Suppose b = 5*h - 6. Calculate the lowest common multiple of h and 10.
10
Let v = -177973/72 - -9881/4. Find the common denominator of v and 13/1116.
2232
Calculate the lowest common multiple of 36*(-12)/72*-2 and 16634.
99804
Let l be 6/4*(-6 - 3028/3). Let a = 7678/5 + l. Find the common denominator of a and -25/7.
35
Calculate the smallest common multiple of (-5)/((-200)/(-125) + (-39)/15) and 205.
205
Let q = 34818887/6030 + -342894/67. Let z = 5905/9 - q. Calculate the common denominator of -23/9 and z.
90
Let z be 0/7*(-1)/(-2). Suppose 2*o = -z*o - 4. Find the common denominator of 80/108 - (o - -3) and 59/27.
27
Let r be 7/(-21)*-6*1*2. Calculate the lowest common multiple of 8 + 105/(-28) - 5/r and 3.
3
Let p = -9721/6968 - 15/536. Let c = -65 + -32. What is the common denominator of p and ((-63)/28 - -2)/(4/c)?
208
Suppose 4*w - 4*g - 296 = 0, 3*g - 107 = -w - 41. Suppose -h + 6*d + 17 = 7*d, 0 = -3*h + 4*d + w. Calculate the smallest common multiple of 40 and h.
40
Let g = -47 + 47. Let q(v) = 11*v + 6. What is the least common multiple of 12 and q(g)?
12
Let s(a) = a + 3. Let d be s(3). What is the common denominator of (d/(3 - -9))/(30/(-82)) and 2/7 + (-894)/(-56)?
60
Let c be (-14)/56 - (-141911)/85856. Let g = c - -9/2683. Find the common denominator of -55/24 and g.
96
Calculate the least common multiple of 105/315 + (1 - 1) + 200/12 and 17.
17
Let v be (-2)/(-3) + (-8778)/(-63). What is the common denominator of (-30)/v*(-20)/3 and 35/11?
77
Let t = 369 - 624. Let s = t + 296. Calculate the lowest common multiple of s and 4.
164
Suppose 0 = n - 3*f - 3152, -4*n = -2*f - f - 12635. Let w = -656 + n. Let a = -70131/28 + w. Find the common denominator of 77/16 and a.
112
Let g = 974004664787 - 589492947250619281/605226. Let q = -2/47781 + g. Find the common denominator of -1/22 and q.
3762
Let y = -1199/6 + 201. Suppose 0 = 3*s + 4*q - 851, -5*s + 4*q = -6*s + 297. What is the common denominator of s/(-110) - (-24)/120 and y?
66
Suppose -8*b + 15*b + 10*b = 238. Calculate the lowest common multiple of 450 and b.
3150
Let p(r) = r**