- 56 - 16. Suppose 2*v - m = -v. Calculate the least common multiple of v and 4.
8
Let t(a) = a**2 + a - 2. Suppose -9 = 3*s - 0*s. Let m be t(s). Suppose -m*q = -2*q - 12. What is the lowest common multiple of 18 and q?
18
Let d(q) = -6*q**3 + 30*q**2 + q - 9. What is the smallest common multiple of d(4) and 84?
1092
Suppose x = 3*o - 37, 2*o + o = -3. Let s be (-1)/x*95/(-15). Let l = -1/24 + s. Calculate the common denominator of -7/5 and l.
5
What is the common denominator of -93/10 and (-7705)/1470*-1 - 5*1?
1470
Let z = -95652/7 + 8609821/630. Find the common denominator of z and -85/234.
1170
Let l(r) = 7*r**2 - r. Let n be l(-3). Let b = 8789/300 + -572/25. What is the common denominator of (n/9)/((-50)/(-45)) and b?
60
What is the common denominator of 23/11 and 4/6 + (-620)/240?
132
Suppose -3*j = 4*k - 144, 8*k - 240 = -5*j + 3*k. Calculate the lowest common multiple of 120 and j.
240
Let r(w) = 3 - w + 2*w - 9 - 4*w. What is the lowest common multiple of r(-4) and (-3 + 2)*-14 + 0?
42
Let g(y) = y**2 - 4*y + 7. Let d be g(3). Suppose 0 = 5*x - 2*p + 24, -3*x - 3*p - 15 = -d*p. What is the common denominator of 9 and (4/x)/((-322)/3243)?
7
Let o = -344 - -2821/8. Find the common denominator of o and 43/40.
40
Let m = 9 - 3. Find the common denominator of -53/60 and (-10)/((-160)/78)*(-2)/m.
120
Let o(i) = i**3 + i**2 + i + 24. Suppose -2*y = -4*g + g + 66, 112 = -4*y - 4*g. Calculate the lowest common multiple of (4/6)/((-2)/y) and o(-3).
30
Let k be 1*2 + 134/(-7). Let j = 2305/112 + k. Calculate the common denominator of j and 65/8.
16
Let c = -16 - -24. Suppose f + f = c, 2*i - 5*f = -18. Find the common denominator of (121/(-9))/(1 + i) and 59/12.
36
Let k = 45 + 0. Suppose 3*l - k - 21 = 0. Let v = 5 + -3. What is the smallest common multiple of l and v?
22
Let g = -1174469/368 - -6383/2. Let a = g - 1521/368. What is the common denominator of a and (-37)/(-7)*2/4?
56
Let r(a) = -a**3 + 25*a**2 - 57*a + 122. What is the least common multiple of 40 and r(22)?
320
Let t(r) = -3*r - 4*r - 3*r - 5 + r**2 - 3*r. Let f be t(13). Let y(i) = -i**2 - 3*i + 12. Calculate the lowest common multiple of 8 and y(f).
8
Let v be (1 - -2)*30/3. Let p be (-145708)/v*(-25)/40. Let r = -6087/2 + p. What is the common denominator of r and -39/22?
132
Find the common denominator of -131/96 and (51 - 45) + (-962)/120.
480
Let f(g) = 5*g - 28. Let a be f(11). Let x = a + -11. Suppose -4*v + 37 + 11 = 0. Calculate the least common multiple of v and x.
48
Find the common denominator of -8/107 and 0 - (178/8 + -17 + 15).
428
Suppose -4*h - k = -5*k + 68, h - 13 = -5*k. Find the common denominator of ((-67)/(-28) + -1)*4 and ((-58)/h)/((-20)/(-36)).
70
What is the smallest common multiple of ((-4)/3)/((-92)/(-12) - 8) and 156?
156
Let x(t) = 5 - 4*t**2 + 2*t + 8*t**2 - 3*t + 1. Let m be x(7). Calculate the smallest common multiple of (-30)/m + 132/13 and 3.
30
Let r = -20 - -31. Find the common denominator of (0 + (-2)/r)*20/6 and 1/24.
264
Calculate the lowest common multiple of (72/16)/(9/24) and 104.
312
Let g be (-2)/8 - 42/(-8). Suppose g*z = 4*z + 4. Calculate the lowest common multiple of 25 and z.
100
Let a = 1921/483 + -63/23. Calculate the common denominator of -17/21 and a.
21
Let x be ((-13)/1)/((9/3)/(-3)). Suppose 11*u - x*u = -12. What is the smallest common multiple of 12 and u?
12
Let z(c) = -129*c + 15. What is the least common multiple of z(-1) and 18?
144
Suppose 7780 = -6*l - 1028. Let z = -23/67 + -752/737. Find the common denominator of 1/8 + (-1 - l/(-96)) and z.
66
Let o = -172021889/20 - -8599222. Let z = o - -1867. Find the common denominator of z and 5/34.
340
Let j = 6523 - 684806/105. Find the common denominator of -59/270 and j.
1890
Let t = -4209/97 + -21/194. Let i = -1399/130 - -162/13. What is the common denominator of t and i?
10
Suppose -2*b + 14 = -3*h + 2, -5*h = -4*b + 26. Let v = -6 + 16. Let p(o) = -o**2 + 10*o + 9. Calculate the least common multiple of b and p(v).
9
Suppose -8 = -2*f + 30. Suppose 0*c - 12 = -c. Suppose -u - a + c - 1 = 0, 2*a - 4 = 0. What is the smallest common multiple of f and u?
171
Let k be 8 - (-1 - (-2)/(-2)). Suppose 0 = 10*f - 58 - 42. Calculate the least common multiple of f and k/(-4)*(-12)/5.
30
Let x = -4043796053721/7735 + 522791996. Let y = x - -3/1105. Calculate the common denominator of -75/4 and y.
28
Let y = 389 - 388. What is the smallest common multiple of y and 11?
11
Let p = 17533/13 - 1348. Let g be (-5)/(1430/(-504)) + -3. Let y = p + g. Find the common denominator of y and -61/10.
110
Let o = 1572/25099 - 336599722/13176975. Let y = 178/7 + o. Let m = y + 857/600. What is the common denominator of -35/6 and m?
24
Let q = 4057/2108 + 13/124. Find the common denominator of q and -1 - (-1)/2*89.
34
Suppose 0 = 4*a - 4*m - 20, 3 = m - 2. Calculate the lowest common multiple of 70 and a.
70
Let x = 357 + -647. Let m = 75/2 + -207/7. What is the common denominator of -3 - (x/28 - -3) and m?
14
Let u = 3061 + -2890. Calculate the smallest common multiple of 570 and u.
1710
Calculate the common denominator of (-3*73/75)/((-9)/5) and -67/40.
360
Let r = 2699/186 - 1044/31. Calculate the common denominator of -5/432 and r.
432
Let n = -94745/702 - -3655/27. Find the common denominator of n and -41/12.
468
Suppose 3*v - 3*o + 1 = 2*v, -4*o - 12 = -3*v. Let k = 9 - v. Calculate the least common multiple of k and 5.
5
Suppose -2*p - 2*o = -7*o - 113, 58 = p - 2*o. Suppose -p*j = -67*j + 132. What is the least common multiple of j and 22?
44
Suppose -2*m + 9 + 7 = -4*x, -2*x = 5*m + 20. What is the smallest common multiple of 16 and (-1 - 1)*(m + -9 + -3)?
112
Let h = 591 + -585. What is the lowest common multiple of 12 and h?
12
Suppose 5*b + 1 - 19 = -k, 0 = b + 5*k + 6. Find the common denominator of 4 - (b + 198/(-28)) and -37/20.
140
Let d = 52/887 - 23007/14192. Find the common denominator of (-33)/(-4) - (0 + -1) and d.
16
Suppose 0 = s, -3*a - s - 42 = -6*a. Find the common denominator of (-3 - -5)/(a/(-54)) and (-1)/22*2*-25.
77
Find the common denominator of (194/(-3492))/(8/762) and -43/138.
552
Let m(n) = -4*n**3 - 4*n**2 - 2*n. Let q be m(-3). Let t = -22 + q. Calculate the common denominator of 38/3 and 279/35 + 24/t.
15
Suppose -10*i + 7*i - 6 = 0. What is the common denominator of (-6216)/(-2035) + i/(-5) + 0 and 36/17?
187
Let w be (-13 + 0)*1736/70. Let x = w + 312. Calculate the common denominator of 67/26 and x.
130
Let n = 25/7855288 + -61887915083/8978594184. Let p = n - -1/254. What is the common denominator of p and 53/8?
72
Suppose 0 = -3*o + 9 + 3. Suppose 9 = -j - o*b + 37, 4*j - 5*b = 175. Calculate the smallest common multiple of j and 14.
280
Let k = 296 + -286. Suppose r + 12 = 4*r. Suppose r = c + c, -18 = -n - c. Calculate the lowest common multiple of n and k.
80
Find the common denominator of (-390)/16*4/(-3) and (6/(-280))/((-18)/156).
70
Let c be 87/(-27) + (8/(-36))/(-1). What is the least common multiple of 8 and -4 + 6*(-10)/c?
16
Let s(l) = -l**3 + 5*l**2 + 13*l + 13. Let r be s(8). Find the common denominator of 511/160 + 45/r and 93/20.
160
Let i be (-2)/8 - (-9)/4. Suppose q = 4*q - 6. Suppose -x = i*n - q, 3*x = 2*n - 1 + 15. What is the lowest common multiple of 11 and x?
44
Let r(y) be the second derivative of -y**4/12 - 11*y**3/6 + 3*y**2/2 - 12*y. What is the least common multiple of r(-11) and 10?
30
What is the common denominator of (-51)/(-4)*(9 - 9955/1107) and 63/5?
1845
Let o(h) = h**3 + h + 2. Let s be o(0). Let a be 6/(-15) + (-62)/(-5). Calculate the smallest common multiple of 8 and 32*(s - a/8).
16
Suppose 3*t - 18 + 253 = 5*p, 130 = -2*t - 2*p. Calculate the common denominator of 45/18*174/t and -19/22.
154
Calculate the common denominator of 115/112 and (-231)/216 - (15 + -17).
1008
What is the common denominator of -8/11 and (-207)/(-78) + 1 - (2 - 2)?
286
Let n be (35511/(-5))/((-10)/(-50)). Let c be (-23680)/n + 6/(-9). Let y = 698339/260414 + c. Calculate the common denominator of y and -61/6.
66
Let k(y) = -y**2 + 17. Let o be k(5). Let r(l) = -l**2 - 9*l - 13. Let p be r(o). What is the smallest common multiple of 18 and (-4 + 2)*p/5?
18
Calculate the lowest common multiple of (-2160)/(-20) - (-12)/4 and 9.
333