
396
Let c = -16193 - -10957. Let r be 1482/c - (-18)/63. Let n = r + -5239/1122. Calculate the common denominator of n and -39.
3
Let j be (1/((-30)/4))/((-12)/321400). Let s = 3579 - j. Calculate the common denominator of 1/(-2)*-59*-1 and s.
18
Let i be ((-94)/(-1446))/(8/(-4984)). Let l = i - 1/1446. Find the common denominator of 3 + 41/(-10) - -3 and l.
10
Let d = 8 - 10. Let t be d/54*(8 + -7). Let y = 32/135 + t. Calculate the common denominator of 47 and y.
5
Let n(k) = -1. Let u(y) = -2*y**2 - 10*y + 9. Let z(l) = -4*n(l) + u(l). Let o be z(-8). Let v = o + 49. Calculate the least common multiple of 10 and v.
70
Let k = 182311/174 - 6293/6. Calculate the common denominator of k and 37/4.
116
Let s be (-2 + 0)*(-5062795)/44. Let d = 233083 - s. Let h = 2951 - d. What is the common denominator of h and -71/18?
198
Let v = 103 + -104. Calculate the common denominator of -18 and 129/15 - v/(-2).
10
What is the smallest common multiple of 12/(-78) + 63/(-13) + 97 and 8?
184
Let h(k) = -k**2 - 9*k + 10. Let o be h(-9). Let y be (-1)/2 - (1219 - o). Let r = y - -1165. What is the common denominator of -35/22 and r?
22
Let n = 122 - 92. What is the lowest common multiple of n and 54?
270
Let w = -460325755/14796 + 62223/2. Let u = w - 880357/73980. What is the common denominator of u and (-4)/(-6 + (-93)/(-12))?
70
Let i = 33 + -30. Suppose -142 = -3*o - 0*l + 2*l, -4*o = -i*l - 189. Calculate the smallest common multiple of o and 24.
48
What is the common denominator of -71/786 and 30/(-405)*3/(-4)*201?
786
Let o(w) = w - 17. Let y be o(12). Let h = 2 + y. What is the smallest common multiple of 9 and h/1*5/(-15)?
9
Let z = -525/17 - -61589/2040. Find the common denominator of 49/36 and z.
360
Let n(d) = 6*d - 4. Calculate the lowest common multiple of 2 and n(6).
32
Suppose 4*t - 2*b - 3376 = -6*b, 3*t = -2*b + 2534. Suppose 0 = -11*l + t - 164. Calculate the smallest common multiple of l and 14.
434
Let o = 21145 - 2199059/104. Find the common denominator of o and 109/6.
312
Suppose 0 = -239*c + 280*c - 1066. Let a = 5 + 0. Suppose 0 = 3*n - a*f - 44, 4*n - 4*f - 8 = 5*n. Calculate the smallest common multiple of n and c.
104
Let m(w) = -w**2 + 4*w + 10. Let p be m(0). Calculate the common denominator of ((624/(-10))/6)/(6/p) and 22/9.
9
Let x = -4 - -13. Suppose 117 = -25*i + 38*i. Calculate the smallest common multiple of x and i.
9
Let y = 97/27885 - 18/169. What is the common denominator of y and 157/30?
330
Let x(z) = -z + 3. Let j be x(3). Suppose -47*n + 62*n = 0. Suppose n*k + 4*k - 16 = j. Calculate the least common multiple of 12 and k.
12
Suppose -3*n + g + 70 = -0*g, 4*n = g + 95. What is the lowest common multiple of n and 45?
225
What is the common denominator of 41/180 and -1*(-802)/80 - 2 - 6?
360
Suppose a - 73 = -4*l + 4*a, -l = 2*a - 10. Let i = 109 - 45. What is the lowest common multiple of l and i?
64
Calculate the common denominator of 4/(-10) + (-4895)/(-4125) and 71/8.
600
Let b(o) = -o + 8. Let c be b(9). What is the smallest common multiple of c + 3 - (-12)/3 and 2?
6
Let q(o) be the first derivative of o**4/4 + 4*o**3/3 - 3*o - 8. Let m be q(-3). Find the common denominator of -15/4 and (-636)/8*(-2)/m.
4
Let x = -122153/3 - -99143/2. Suppose 2*o - 11744 - 6002 = 0. Let k = o - x. Calculate the common denominator of 49/12 and k.
12
Suppose 3*s - 7*q - 15 = -5*q, 3*q = -s - 6. Calculate the smallest common multiple of 2 and s.
6
Suppose -1008*v = -1002*v - 336. What is the least common multiple of v and 112?
112
Calculate the common denominator of 68/45 and (1/45)/(375/18450).
225
Let x = 1199981/3905 - 73/781. Let b = 318 - x. What is the common denominator of b and 298/(-63) + (-4)/(-14)?
45
Let w be 18/(-162)*141/(-20). Let z = w - -919/180. What is the common denominator of -33/5 and z?
45
Let c be (-10)/45 - 40/(-18). Suppose -18*q + 17*q = -c. Suppose 15 = 3*s - 0. Calculate the lowest common multiple of s and q.
10
Let b = 54997/10 + -5509. Let q be 0 + 2 + 224/74. Let i = -2779/148 + q. What is the common denominator of b and i?
20
Let c(l) = -29*l**3 + l**2 + 5. Let w be c(2). Let k = 967/4 + w. Find the common denominator of 127/12 and k.
12
Let i be 25 - -4*1/(-2). Suppose -3*p = 4*t - i, 8 = 2*p + 2*t - 10. Suppose 69 = 2*n - 5*j, 4*n - p = 5*j + 100. What is the lowest common multiple of 6 and n?
66
Let c = -4 - -6. Calculate the lowest common multiple of -3 + (11/(-2))/((-5)/10) and c.
8
Suppose 0 = 11*s - 7*s - 23176. Let x = s - 57989/10. Let r = 2/2023 - -111257/8092. Find the common denominator of x and r.
20
Let a be ((-16)/(-10))/((-16)/(-40)). Suppose -i - a = -5. Let p(z) = 21*z + 1. Calculate the smallest common multiple of p(i) and 10.
110
Let g = 0 + 138. Suppose 0 = 4*r - 2*z - g, 2*r + 106 = 5*r - 2*z. Calculate the common denominator of 23/9 and r.
9
Calculate the common denominator of 12/110*135/(-4) and 21/(-9) + (-8415)/(-2160).
176
Let i(j) = j**2 - 2*j + 4. Let g be -1 - 10*3/6. Let d be i(g). Find the common denominator of -2 and (-2 - 57/(-30))*d.
5
Suppose -14*h - 330 = -3*h. Calculate the common denominator of -21/2 and (-155)/h + 1 + -3.
6
Let p = -286 + 288. What is the lowest common multiple of p and 16?
16
Suppose 2*f + t = 4 + 10, 0 = -5*t. Suppose f*l - 140 = 168. Calculate the smallest common multiple of l and 32.
352
Let q be (-2)/(-7) - (-28100)/42. Let t = -8849785039/13005624 + -8/541901. Let b = q + t. Calculate the common denominator of b and -67/3.
24
What is the common denominator of -3/4 and (-1073)/(-264) - (-66)/(-242)?
24
Suppose -19*d + 448 = -3*d. What is the smallest common multiple of 36 and d?
252
Let a = -24653 - -2268023/92. Calculate the common denominator of a and 119/40.
920
Suppose -3*p + 31 = 4*u, 4*u = -p - 2 + 23. Suppose -148 + 38 = -p*d. What is the smallest common multiple of d and 1 + 31*1 - (-56 - -60)?
308
Let v = -470 + 518. What is the smallest common multiple of 192 and v?
192
Suppose 0 = -3*b + 4*b - 84. Find the common denominator of ((-13)/(-2))/(6/(-20)) and b/(-15) + (6 - 4).
15
Let u = -906 - -969. Calculate the least common multiple of u and 147.
441
Let y(n) = 9*n**2 - n - 2. Suppose 2*c - 22 = -6. Calculate the common denominator of y(-2) and (16/6)/c*-41.
3
Let c = 12/7 + 45/14. Calculate the common denominator of -107/10 and c.
70
Let i = 23685 + -568535/24. Calculate the common denominator of (1/3*62)/(-22) and i.
264
What is the lowest common multiple of (-18)/(-6) + 6/2 and 54?
54
Let x(a) = 9*a**2 - 4*a**2 + 1 + a - 6*a**2 - 18*a. What is the least common multiple of x(-17) and 27?
27
Find the common denominator of (4/(-30))/((-608)/(-18012)) and 43/55.
220
Let k be (-13)/(-4)*(-1 - -5). Suppose 5*r - k = 17. Find the common denominator of 17/4 and (r/24)/((-1)/(-162)).
4
Let f be (8/5)/((-1)/5). Let r = f + 12. Calculate the smallest common multiple of 8 and r/10 - 312/(-20).
16
Suppose -12*x = 316 - 1756. Calculate the smallest common multiple of 120 and x.
120
Let n = -214 + 2389/11. Suppose -7*r = -1366 + 64. Let s = r + -917/5. Calculate the common denominator of s and n.
55
Suppose -3*w + 4 = -w. Suppose -9 - 8 = -r - 3*n, 0 = -r - 2*n + 14. Calculate the common denominator of 31/6 and 1/w - 26/r.
12
Let y(h) = 2*h - 19. Let v be y(8). What is the lowest common multiple of (28 + v + 5)/(-2 + 4) and 2?
30
Let m = 3934659/1130 - 3482. Let c = -10847/1130 + m. What is the common denominator of 101/6 and c?
30
Let h = 6712147723695/419091332 - -1/38099212. Let p = h - 16011. Calculate the common denominator of p and -75/22.
22
What is the common denominator of (-4)/15*(-4698)/(-144) and 411/261 - (-1)/(-3)?
290
What is the common denominator of 65/212 and (13/12 - 1) + (-7567)/1692?
1908
Let p = 3492046 + -3743474023/1072. Let t = 10/67 - p. What is the common denominator of t and ((-3213)/20)/(-9)*(-2)/3?
80
Let m(n) = -n**3 + 58*n**2 + 458*n - 179. Let b = 33 - 23. What is the smallest common multiple of m(65) and b?
80
Calculate the least common multiple of 64 and (42/(-4))/(51/(-544)).
448
Let y(f) = f**2 + 19*f - 96. Suppose 4*n + x - 63 = -4*x, 0 = 4*x - 12. What is the lowest common multiple of y(-25) and n?
108
Let r(i) = -3*i**3 + 2*i**2 + i - 2. Let g(n) = 10*n**3 - 6*n**2 - 2*n + 7. Let k(x) = 2*g(x) +