.
10
Let l = 61 - 61. Suppose l = -2*f - 13 + 11. What is the lowest common multiple of -1 - ((-2 - f) + 3 - 5) and 20?
20
Suppose -42*l + 39*l = -3, 5*m - 2*l = 598. Calculate the smallest common multiple of m and 540.
1080
What is the common denominator of (-116)/6 - 22/24*(-28)/(-154) and 11/8524?
8524
Suppose 2*w = 5*w - 24. Let l(a) = -a**2 - 16*a + 79. Let x be l(-23). Let d = x + 88. Calculate the least common multiple of w and d.
24
Suppose -2*o - 140 = 3*o - 4*k, 4*k = o + 28. Let x(d) = -10*d**3 + 3*d**3 + 8*d**3 - 25 + 28*d**2 - d. Calculate the smallest common multiple of 12 and x(o).
12
Let n = 117 + -107. Suppose -4*p = -4*j - 58 + 14, 3*p - 2*j = 37. What is the smallest common multiple of ((-4)/(-6))/(1/p) and n?
10
Let d = 7723/876 + 56/73. What is the common denominator of -1 + 266/(-24) - (-19)/(-38) and d?
12
Suppose -58*z + 46*z = 112*z - 744. Suppose 0 = -4*d + 3*d + 4, 3*f + 119 = 2*d. Let x = -23 - f. Calculate the least common multiple of z and x.
42
Let p = -10 - -15. Let m = 41 + -35. Suppose -m*g + 26 = -4*g. Calculate the least common multiple of g and p.
65
Find the common denominator of ((-1955)/(-69))/((-24)/9) and -23/164.
328
Let q = -45145 + 3250571/72. What is the common denominator of -55/576 and q?
576
Let d = 18 - 32. Let p be (0 - d/3)/((-6)/(-9)). Suppose -s + p = -2*v, 4*s - 35 = -s - v. What is the lowest common multiple of 9 and s?
63
What is the least common multiple of (-21*8/24)/(0 - 1) and 224?
224
Let y be (-1 - 0) + (-4)/(-2). Find the common denominator of 2211/99 + (-2 - 13) and (y/24)/((-2)/596).
12
Let r = -489152/191 - -2561. Let f = r + 2869/764. Let x = -88/135 + 10511/4320. Calculate the common denominator of f and x.
32
Let a = -2788 + 3264. What is the least common multiple of 8 and a?
952
Let o(y) = -y**3 + 39*y**2 - 27*y + 1068. Suppose 17 = 2*g - 3*c, g + 3*c + 11 = -2*c. Calculate the smallest common multiple of 15/g - 2/(-8) and o(39).
60
Let l = 16548 + -976286/59. Let j = 10439463/22225 + -9/3175. Let w = 472 - j. What is the common denominator of l and w?
413
Suppose 15792 = 3*u + 11*u. What is the least common multiple of 1692 and u?
3384
What is the common denominator of 39/15 + -3 - 7/(255080/(-14442)) and -73/22?
200420
Let v = 361/340 + -79/68. Find the common denominator of v and 85/6.
30
Let x(v) = v**3 - v**2 + 2*v + 1. Let l be (-8 + (-2 - -4))/(15/(-10)). Let r be (l/5)/(8/20). Calculate the least common multiple of x(r) and 27.
27
Let w = 381/194 + -95375/47724. What is the common denominator of 45/164 and w?
492
Suppose w - 2*w = -80. What is the lowest common multiple of (-1200)/(-204) + 2/17 and w?
240
Let l = -3161147/4 - -1260507332/1595. Calculate the common denominator of l and -3/14.
44660
Suppose 3*m - 1176 = -3*l + 6*m, 3*l - 2*m - 1179 = 0. What is the common denominator of (-1)/(-7) - (-2)/(350/l) and -113/6?
30
Let k = -32586431 + 651579407/20. Let i = k + 7463. Find the common denominator of -9/130 and i.
260
Let o = -90 + 112. Let q(p) be the third derivative of 2*p**5/5 - p**4/4 + p**3 + 28*p**2. What is the lowest common multiple of q(1) and o?
264
Suppose 52*k = -76*k + 22400. What is the least common multiple of 170 and k?
5950
Calculate the common denominator of 27/(45360/3036) + 1/7 and 67/14736.
73680
Suppose -q - q + 4*r - 412 = 0, 2*r = -4*q - 784. Calculate the common denominator of (12 - 8) + q/75 and -61/25.
25
Let w = -67803097/374880 + 9947/55. Find the common denominator of w and -9/1420.
34080
What is the common denominator of ((30/(-25))/(-3))/((-1440)/476) and 47/630?
6300
Suppose -3007 + 2623 = -16*r. Calculate the smallest common multiple of r and 576.
576
Let u(g) = 2*g**2 - 2*g. Let i = 8 + -10. Suppose -62*q + 2*z - 34 = -64*q, 4*z = 4*q - 44. What is the least common multiple of q and u(i)?
84
Let g(v) be the third derivative of -v**4/8 - 13*v**3/6 - 21*v**2. Let d be -8 + -2 - 2/2. Calculate the least common multiple of 16 and g(d).
80
Let h = -1431239/5778360 + 15/32102. What is the common denominator of h and 29/225?
1800
Let n be 1/7*1331 + 6/(-42). Let l = n - 8. Suppose l = 11*m - 192. What is the lowest common multiple of 11 and m?
374
Let i(f) = -f**3 - 60*f**2 - 181*f - 105. Calculate the lowest common multiple of 465 and i(-57).
465
Let v = -5/1732 - -17129/233820. Calculate the common denominator of v and -71/6300.
18900
Let y = -4744 + 4748. What is the least common multiple of 324 and y?
324
Let v(b) = -370*b**3 - 2*b + 1. Let o be v(1). Let s be 2/(-3) + 1203251/3270. Let x = s + o. What is the common denominator of -25/8 and x?
40
Suppose 2*w = 4*s - 64, -2*s - 3*w + 16 = -0*w. Find the common denominator of 27/336*s/(-24) and -79/18.
576
Calculate the common denominator of -3 and (6 + -11)/1 - 13879/(-2785).
2785
Suppose 3*a = -84 + 60. Find the common denominator of a + 5 + 5/96*10 and 81/10.
240
Let f(b) = 3*b**3 + 62*b**2 + 3*b - 52. What is the lowest common multiple of 4 + ((-24)/(-2) - -4) and f(-19)?
8480
Suppose -4*b + 51 = -81. Suppose 0 = 2*j - j - b. Let o(r) = -r**3 + 50*r**2 - 48*r - 37. What is the least common multiple of j and o(49)?
132
Suppose -4*n - o - 2 = -14, -4*n - 3*o + 4 = 0. Calculate the common denominator of ((-10)/24)/(n*(-3)/(-120)) and -31/32.
96
Suppose -5*i + 1291 = 4*m, 5*m = 5*i + 689 + 981. What is the lowest common multiple of m and 141?
987
Suppose 0 = -3*o + 3*l - 284 - 166, -l = 2. Let h = o - -164. What is the lowest common multiple of h and 3?
12
Find the common denominator of 23/638 and ((-2380)/(-352) - 4) + (3 + -12 - -5).
2552
Let k = 273082807/660 + -413762. Find the common denominator of k and -7/8.
1320
Let f = -176 - -176. Suppose f = 10*j - 42 - 118. What is the least common multiple of j and 18?
144
Calculate the least common multiple of (-136 - -31)*3/(-15) and 1393.
4179
Let r = -9034 + 9139. Calculate the smallest common multiple of r and 1841.
27615
Suppose 227*f - 240*f = -1430. What is the least common multiple of 4 and f?
220
Let h = 249/14 - 7859/434. Let o = -8719/3 + 2887. Calculate the common denominator of o and h.
93
Suppose -96*o + 55324 = -45805 + 5129. Calculate the smallest common multiple of 600 and o.
3000
Let r = 144 - 123. Suppose -16*m + 1071 = -1089. Calculate the lowest common multiple of m and r.
945
Let u = 582 + -2399/4. What is the common denominator of u and -41/44?
44
Suppose 2*j = -3*d - 3057, 1331 = -3*j - 2*d - 3252. Calculate the common denominator of j/(-270) - 7 - 4/(-9) and -31/50.
50
Suppose -143*z + 47154 = -7865 - 32211. What is the least common multiple of z and 32?
9760
Suppose -46*l = -51*l + 25, -3*k + 2*l + 1028 = 0. Calculate the least common multiple of k and 8.
1384
Let y(b) = 6*b - 8. Suppose 0 = 289*t - 3572 - 2208. Calculate the lowest common multiple of t and y(8).
40
Let c = -19 + 73. Let w = -313348 + 313402. Calculate the lowest common multiple of c and w.
54
Suppose 3*j = 2*w + 243, -3*j + 3*w + 165 = -78. Suppose -b + 2*r - 8 = 0, -b + 0 = r - 7. Calculate the smallest common multiple of j and b.
162
Suppose 0 = 5*v + v - 3*h - 17808, -2*v + 5920 = -5*h. What is the least common multiple of 55 and v?
2970
Suppose -17*f - 11235 - 150112 = 0. Let t = f + 521974/55. What is the common denominator of t and 61/200?
2200
Find the common denominator of 145/258 and (-30)/70 - ((-213)/1134 - 1).
2322
Let m(i) = i**2 + 12*i - 9. Suppose 70*n = 105*n - 1575. What is the least common multiple of m(-18) and n?
495
Suppose 123*o + 10181 - 30821 = 75*o. What is the smallest common multiple of 946 and o?
4730
Let h = 10039327/138 + -72748. Find the common denominator of -25/297 and h.
13662
What is the smallest common multiple of -60*((-6)/(-8))/(-1) and (-12 + (-3168)/(-192))*16/9?
360
Let w = 322 + -292. Calculate the common denominator of -109/60 and ((-5)/w)/((-6)/834).
60
Let a = -2948 - -3140. What is the smallest common multiple of 192 and a?
192
Suppose 1269 = 4*r - 827 - 5212. What is the lowest common multiple of r and 3654?
3654
Let i = -2953 + 32433/11. Suppose 4*u = -2*d + 148, -5*u - 4*d = -7*d - 174. What is the common denominator of i and 1/(100/(-15))*u?
55
Let l = -12722 - -12724. Calculate the smallest common multiple of l and 3087.
6174
Let r be 4/((-6432)/6175) - 6/4. Let j = r + -7/201. Calcula