
Let t = -196 + 198. What is the smallest common multiple of t and 4?
4
Suppose 5*k = 3*k + 2*w - 14, 0 = 2*k + w + 2. What is the common denominator of (735/50 + k)/(-1) and 49/10?
10
Let p be 1*2 + (-10 - -12). Let t be 18/p*56/(-6). Calculate the common denominator of (64/t)/(6/(-9)) and 1/9.
63
Let i(f) = -124*f + 898. Let a(d) = -d**3 - 5*d**2 - 5*d + 5. Calculate the lowest common multiple of a(-5) and i(7).
30
Suppose -4*k + 29 = -43. Suppose -5*j = 4*h - 81, 5*j - 39 = -5*h + 4*h. Calculate the smallest common multiple of k and h.
126
Suppose 59*u = 54*u + 15. Suppose 10 = 4*z - 10. Suppose 0*c = -v + u*c + 47, -z*v - 4*c = -178. What is the common denominator of v and 5/3?
3
Let i = -1731/7 + 15229/63. What is the common denominator of i and (63/(-49))/(-3) - (-13)/(-14)?
18
Suppose x = 3*n + 132, -5 = -2*n - 5*x - 93. Let d = -26 - n. What is the least common multiple of d and 6?
18
Let m = -5754 + 34435/6. What is the common denominator of (1 + (-38)/24)*2 and m?
6
What is the common denominator of 125/234 and (-20)/6 + (-282)/(-27)?
234
Let k = -929 + 1097. Calculate the least common multiple of k and 6.
168
Let o be 2 - 1*(-5 - 9/(-3)). Suppose -28 + o = -3*h. Calculate the smallest common multiple of 12 and h.
24
Let d be 14332/20*5/4. Let m = -1223 - -337. Let n = d + m. What is the common denominator of -20/9 and n?
36
Let m = 54 + -30. Let b be 4/(m/(-3))*0. Suppose b*c - 1 = -c. Calculate the least common multiple of 8 and c.
8
Let c = -104519/10 + 10443. Let o = -247/9 - -4537/144. Calculate the common denominator of c and o.
80
Let u be 4/22 + (-10967)/56991. Let r = -40/54685691 + -2552126362559/206055683688. Let m = r - u. Calculate the common denominator of m and 13/7.
56
Suppose -4*a = 3*c - 66, 0 = -4*a + 7*a. Calculate the lowest common multiple of 984 and c.
10824
Suppose -5*o + 120 = -4*q, -5*o + 2*q = -119 + 9. Find the common denominator of -65/18 and 134/o*11/(-22).
180
Let u(h) = h**3 + 5*h**2 - 4*h - 26. Calculate the smallest common multiple of 84 and u(-4).
84
What is the smallest common multiple of (-4 + 144)*(-7)/(-4) and 8?
1960
Let l be ((-2413)/(-35) - -1) + 3. Let s be (-678)/(-10) - 14/(-7). Let j = s - l. Calculate the common denominator of j and 39/7.
7
What is the least common multiple of 491 and (240/36 - 3) + 4/(-6)?
1473
Let j be ((-39)/9)/((-30)/9 + 3). Let s = j + 9. What is the least common multiple of 12 and s?
132
What is the common denominator of -103/36 and (-8 + 9)*((-196)/24 - 2)?
36
What is the common denominator of -13/202 and (-24)/10 + 58 + -53 - -4?
1010
Suppose 530 = 8*r + 45*r. What is the lowest common multiple of r and 10?
10
Let o be 54/(-12) - 2/(-4). Let b be 4 + (2 - (2 - o)). Suppose b = -5*k + 44 + 1. What is the lowest common multiple of 10 and k?
90
Let b be 371848/(-144672) - 2/(-3). Let y = 3/548 - b. What is the common denominator of 143/12 and y?
132
Suppose -5 - 4 = -y. Let p be y/45 + 41/(-5). Find the common denominator of -101/22 and (6/p)/(45/(-222)).
110
Let t = -1789 - -25057/14. Find the common denominator of t and 51/10.
70
Suppose t = -5*f + 77, 25 = -2*f + 3*f + 5*t. Suppose f = 5*b + 160. Find the common denominator of -111/14 and 3*b*(-1)/(-2).
14
Let g = 3/159775 - 2106179/2875950. Find the common denominator of -149/66 and g.
198
Suppose 2 = -3*f + 5*i + 20, 2*i = 5*f - 49. Calculate the common denominator of 2/32*1254/f and 19/2.
8
Let b(a) = -a**2 + 9*a - 9. Let r be b(5). Find the common denominator of -34/9 and -9 + r - (-61)/(-18).
18
Calculate the smallest common multiple of -1 - (1 + -85)/7 and 18.
198
What is the least common multiple of 16 and (1980/(-6))/11*132/(-15)?
528
Let h(i) = -2*i**2 - 14 + 4 + 0*i**2 - 11*i - 10*i. Calculate the smallest common multiple of h(-8) and 27.
270
Let k(o) = 6*o + 2. Let b = -6168 - -6212. Calculate the least common multiple of k(7) and b.
44
Suppose 5 + 3 = 2*g. Suppose -3 = -3*t, 4*h + 0*h - 56 = g*t. Calculate the least common multiple of h/(-20)*(-8)/3 and 24.
24
Suppose 3*f - 4*h = -6*h + 91, -f + 3*h = -45. What is the lowest common multiple of 9/(-4)*(-48)/9 and f?
132
Let a = -1/941 + 17899/18820. Find the common denominator of a and -97/36.
180
Let h = 8639 + -13667. Let d = 387148/77 + h. Calculate the common denominator of d and 6.
77
Let p = 1963/2 - 969. What is the common denominator of p and 41/5?
10
Calculate the common denominator of (-2)/(-8) + 1725/2160 and -11/24.
144
Let n = -25 - 1. Let m = n + 22. Calculate the least common multiple of (0 - m)/(6/33) and 6.
66
Suppose h + 1 - 2 = b, b + 13 = 4*h. Suppose -2*n + 11 = -c, -b*c + 5 = 2*c. Calculate the least common multiple of n and 5.
30
Let v be 1 + 4/(1560/(-3805)). Let i = -90/13 - v. What is the common denominator of -149/12 and i?
12
Suppose 0 = -3*a + 660 + 234. Let b = a + -523/2. Suppose -1373 = 12*z - 1649. Find the common denominator of b and z.
2
Suppose 0*v = 2*v - 4. What is the common denominator of v/(-17)*107/(-4) and 8/3?
102
What is the lowest common multiple of 189 and 6 + 3/9 + 18/(-54)?
378
Let k = 187/2208 - 8/69. Calculate the common denominator of 27/22 and k.
352
Suppose -4*t = -5*t - 37. What is the common denominator of -71/10 and (-14)/(-21) + t/(-9)?
90
Let p = -3/2522 - -8204/6305. Calculate the common denominator of p and (-46)/(-33) + (-4)/6.
110
Let i(w) = 7 + 186*w + 5*w**3 - 4*w**3 - 3 - 187*w. Let z be 1/(-4) - (-2)/8. What is the lowest common multiple of 20 and i(z)?
20
Let n = 101705/12 - 8470. Find the common denominator of n and 79/24.
24
Let u(t) be the third derivative of t**4/8 - t**3 + t**2. Let m = 67 + -59. What is the least common multiple of 20 and u(m)?
180
Let l = 5495/396 - 490/33. Find the common denominator of l and 97/60.
180
Let h = 58659/10 + -5861. What is the common denominator of h and -20/9?
90
Suppose -388 = -10*q + 172. What is the least common multiple of 8 and q?
56
What is the common denominator of ((-494)/234)/(4/12) and -7/23?
69
What is the common denominator of (-893)/(-1140) - 4/(-12) and 111/28?
420
Let w = 13781/30 + -1358/3. What is the common denominator of w and -46/133?
1330
Let d = -1188 + 65368/55. Find the common denominator of d and 26/11.
55
Let v = 7 + -2. What is the least common multiple of 1 + (20/v - 2) and 2?
6
Let l be ((-4)/(-6))/(-2)*(-66)/(-104258). Let o = l + -289059/94780. Calculate the common denominator of o and -83/38.
380
Suppose 22 = 7*i - 272. Let b = -17 + 39. What is the lowest common multiple of i and b?
462
Suppose 3*u = 4*j + 56, 104*u - 108*u = -4*j - 72. Calculate the lowest common multiple of (0 - -10)/((-2)/(-4)) and u.
80
Let x = -6/307 - -21195/614. Let u = x + -162/5. Find the common denominator of -89/8 and u.
40
Let c be 42*(-1 - 2/(-8)). Let i = c - -625/18. Calculate the common denominator of 1460/240*(-3)/2 and i.
72
Let j(m) = -3*m**2. Let x be j(-1). Let f be 3 - (x/(-3) + 5). Find the common denominator of 290/48 + 2/f and 43/5.
40
Let z(w) be the first derivative of w**3/3 + 7*w**2/2 + 7*w - 3. Let b be z(-6). Calculate the common denominator of -59/16 and b + 0 + (-315)/12.
16
Calculate the common denominator of (14 - 123)/(-92 - (2 - -2)) and ((-1)/(-4))/(5/(-22)).
480
Suppose 1545 = 52*f - 171. What is the smallest common multiple of f and 330?
330
What is the lowest common multiple of 177 and ((-1)/2)/(17/(-102))?
177
Let g = 5/231 - -14533/924. What is the common denominator of g and (-162)/22*(-2)/(-12)?
44
Let z = 140953/18 + -7837. Let i(v) = 12*v. Let t be i(-2). Find the common denominator of z and ((-124)/t - -4)/(-1).
18
Suppose -190 = -222*w + 212*w. What is the least common multiple of w and 5?
95
Let d(a) = a**2 + 2*a - 14. Let l be d(-11). Let f be (-68)/l*10/(-4). Suppose -f = -y + 8. What is the smallest common multiple of 4 and y?
20
Let c = 281850 + -133878696/475. Let g = 1474033/950 - c. Let j = g - 1504. Find the common denominator of 91/10 and j.
10
What is the least common multiple of ((-1)/2)/(7/196*-2) and 23?
161
Calculate the lowest common multiple of 30 and ((-4)/18 + 16902/(-486))/(-1).
210
Let i = 5 + -3. Let x(f) = -f**2 - 9*f - 4. Let j be x(-8). Suppose m = -i*m, -22 = -n + j*m. What is the lowest common multiple of 20 and n?
220
Suppose -v - 2*o = -139, -248 - 253 = -4*v + 3*o.