07 + 1309. What is the lowest common multiple of 1058 and t?
1058
Suppose -2*k + 5*h + 69 = 0, -5*k - 5*h = -121 - 69. Suppose -3*l + 8 = -t, -2*l - 5*t + k = 9. Calculate the least common multiple of 40 and l.
40
Let r be (-16)/(-40) - 2/5. Let i = -37/5 - -227/30. Find the common denominator of i and 1386/(-180) + r + 3.
30
Let j = -2 - -18. Let p(i) = 11*i**3 + i**2 + 2*i - 3. Let s be p(-3). What is the smallest common multiple of s/(-21) - 1/7 and j?
112
Suppose 3*v + 3*i + 522 = 0, -2*i + 1 = -3. Let h be ((-3)/(-2))/((-33)/v). Suppose -g + h = g. Calculate the least common multiple of g and 5.
20
Let b be 4/8 + 9/6. Suppose -40 = -3*h - h. What is the smallest common multiple of ((-16)/h)/(b/(-20)) and 2?
16
Suppose 63 = 5*a - 207. Calculate the least common multiple of 9 and a.
54
Let l be 23357/14 - (-11 + 8). Let p = 1665 - l. What is the common denominator of 4 + (1962/(-8))/9 - 0 and p?
28
Suppose -4*n - 8 = 4*m, 16 - 2 = -3*n - 5*m. Suppose 2*w + 18 = -n*u, 4*w + 3 + 13 = u. Calculate the common denominator of -5/6 and w/5*(-13)/9.
18
Suppose -g - 27 - 17 = 0. What is the common denominator of 8/g - (-290)/792*14 and 11/10?
90
Suppose 5*v = 1394 - 434. Calculate the least common multiple of 64 and v.
192
Suppose 7*h - 5*h - 8 = 0. Find the common denominator of 123/70 and h/(-54)*1314/(-24).
630
Let n(y) = 2*y**2 - 26*y + 4. What is the lowest common multiple of 12 and n(13)?
12
Let u = 168751/9462 + -2/1577. Calculate the common denominator of u and -25/294.
294
Let v(j) = j**3 - 11*j**2 - 1. Let a be v(11). Let k be (a - -9)*2/(-4). Let i = 15 + k. What is the smallest common multiple of i and 1?
11
Calculate the common denominator of 25/88 and (-70)/(-7) + (-6608)/512.
352
Let q = 2195/2 + -1100. Find the common denominator of 6/15*107/(-4) and q.
10
Suppose -5*x = 5*a + 1199 + 61, -4*x + 1008 = -4*a. What is the common denominator of (-1)/4 + (-1561)/a and -127/72?
72
Suppose 55*m - 1419 = 44*m. What is the lowest common multiple of m and 12?
516
Let w(n) = -5*n**3 - 2*n**2 - 9*n - 8. Calculate the least common multiple of w(-2) and 42.
42
Let j be (-4)/(-26) + 3023881/34034. Let s = j + -89. Let k = 941/2244 - s. What is the common denominator of 107/20 and k?
60
Let u(b) = -b**2 - 6*b + 7. Let n be u(-8). What is the common denominator of ((-36)/(-10))/n - 34/(-15) and -83/21?
105
Let f be (-4)/38 - 2001/(-57). Let m = 253/7 - f. Calculate the common denominator of 28/11 and m.
77
Let m = 2754 + -2682. What is the smallest common multiple of m and 608?
5472
Suppose -2*u + 6*r = 3*r - 165, 318 = 4*u - 2*r. What is the smallest common multiple of 65 and u?
390
Let a = -15101 + 60731/4. Let i = a + -76. Calculate the common denominator of -21/44 and i.
44
Suppose 0 = 2*p + 10*p - 7080. Let r = 5339/9 - p. Calculate the common denominator of r and 161/30.
90
Suppose -4*p + 3822 = -890. Let m = p + -7019/6. Find the common denominator of m and -3*(-3)/(-36)*81.
12
Let f(q) = -2*q - 3. Suppose 16 = 71*u - 69*u. What is the smallest common multiple of f(-7) and u?
88
Let s(b) be the second derivative of -b**5/20 - b**4/6 - b**3/6 + b**2 + 3*b. Suppose -4*c + 51 - 3 = 0. What is the lowest common multiple of c and s(-3)?
84
Let t(l) = -209*l + 79. What is the smallest common multiple of 9 and t(-1)?
288
Suppose -3*z = 2*z - 10. What is the least common multiple of z and 5?
10
Let k = 1087 + -2105/2. Let z = -37700897 + 754442423/20. Let a = -21230 + z. Find the common denominator of k and a.
20
Let z = 209 + -173. Let b = 29 + -18. What is the lowest common multiple of b and z?
396
Let a = 45132094 + -129529113139/2870. Let i = 9/205 - a. What is the common denominator of (-132)/(-180)*(-18)/(-8) and i?
140
Let z be (18/4 + -4)*6. Let o be (z/5 - -3)*5. Let c = o + -12. What is the smallest common multiple of c and 3?
6
Let v(p) = p**2 - 4*p + 4. Let k be v(2). Suppose 4*z + 7*z - 88 = k. What is the smallest common multiple of z and 1?
8
Let g = -111985 + 218331. Let n be g/8*4/(-12). Let j = 4425 + n. Find the common denominator of 29/20 and j.
60
Let w be 1/(-1) - 3794/952. Let i = w + 4723/1360. Calculate the common denominator of i and 121/12.
240
Find the common denominator of 93/8 and 7 - ((-14898)/60)/(-13).
40
Suppose -o + 109 = -13*i + 17*i, 93 = 3*i - 3*o. Calculate the least common multiple of 36 and i.
252
Suppose 0 = -4*v + 5 + 3, -217 = -5*l + 4*v. What is the least common multiple of l and 270?
270
Calculate the common denominator of -89/38 and (2471/(-385) + 6)/((-6)/15).
418
Let d(r) = r**3 + 7*r**2 + 6*r + 2. Let z = 10 - 7. Calculate the smallest common multiple of 1 + -2 + z + 1 and d(-6).
6
Let h = -1391/14168 - -3/161. Calculate the common denominator of -13/24 and h.
264
Suppose 5*o - 17 = -3*n, 0 = -n - 3*o - 0 + 7. Let b = -4241 - -67929/16. Find the common denominator of 6/n*(-260)/12 and b.
16
Suppose -2*q + 1 + 11 = 0. Suppose -b + 55 = 3*d - q*b, -b - 2 = 0. What is the lowest common multiple of 36 and d?
180
Find the common denominator of 23/2 and (5/155)/(415/(-140) + 3).
62
Calculate the common denominator of 105/286 and ((644/(-36))/7)/(-11).
2574
Let a = 6832/5 + -1357. Let f be -1*(-1 - -2) - (8 + -5). What is the common denominator of f/10 + (-226)/(-15) and a?
15
Suppose -2*l = 13 + 5. Let j(w) = w + 18. What is the smallest common multiple of j(l) and 10?
90
Let a be 1*3 + 0/(-11). Suppose -a*m + 1 = -0*s - 2*s, -4*m - 8 = -4*s. Calculate the least common multiple of 25 and s.
175
Let z = 27/163 + 7445/1304. Suppose -1 = j + 7. Find the common denominator of z and (j/(-70))/(2/20).
56
Calculate the common denominator of ((11/(-6))/11)/(399/(-434)) and 97/2.
342
Let h = -24 + 19. Let p(s) = -s**2 - 6*s + 5. What is the smallest common multiple of p(h) and 22?
110
Suppose 181 = 72*q - 34 + 71. Calculate the least common multiple of q and ((-8)/(-10))/((-2)/(-10)).
4
Let b = -284 + 294. Calculate the smallest common multiple of b and 7.
70
Let u be (-527)/(-3) + 12/(-18). Let f = -55 + u. Suppose 0*h - f = -6*h. Calculate the smallest common multiple of h and 14.
140
Suppose 7*b - 4*b + 4*a = 153, 0 = -2*b - 5*a + 102. Calculate the lowest common multiple of 33 and b.
561
Let p(b) = 3*b**3 + 10*b**2 - 5*b + 9. Let j be p(-5). Let v = 106 + j. What is the common denominator of v and 1 - (64/6 + -1)?
3
Let x(n) = 1227*n**2 + n + 1. Let t be x(-1). Let k be (-4)/10 - t/5. Let s = -10217/40 - k. Find the common denominator of s and -73/18.
72
Let f be (11/3)/(2/(-18)). Suppose 0 = q + 3*q - 8. What is the least common multiple of 5 and q/((-2)/f*3)?
55
Let h(p) be the second derivative of 0 + 7/6*p**3 + 0*p**2 + 3*p - 1/20*p**5 + 1/3*p**4. Calculate the least common multiple of 7 and h(5).
70
Find the common denominator of ((-128)/(-30))/(17 - 19) and -19/17.
255
Let v = -349 + 439. What is the least common multiple of v and 45?
90
Suppose 9925*m - 9923*m - 7 - 81 = 0. Let j = 15 + 25. What is the lowest common multiple of j and m?
440
What is the common denominator of (-2)/60*-9*125/(-36) and (5 - 51/(-30)) + 2?
120
Let d be (-3)/(-4)*(29 - 1). Calculate the common denominator of (-4)/(-14) - 141/d and (-14)/(700/(-530)) - (-2)/(-2).
35
Find the common denominator of (-7)/(-532)*1074/3 - 2 and -43/4.
76
What is the common denominator of ((-3)/48*4)/((-3)/214) and 95/66?
66
Let d = -7 - -21. Let c(o) = o**3 + 3*o**2 - 3*o + 2. Let t be c(-4). Let b = t + 14. Calculate the least common multiple of b and d.
84
Suppose 3*z - 3 = -4*j, -2*z - 4*j = -3*j - 2. Let c(y) = -11*y**2 + 7*y. Calculate the common denominator of z/(-3)*0 - -2 and c(-1).
1
Let w = -38 - -42. Let p = 29 + -21. Suppose w*x + 23 = n + 113, 4*n = -p. Calculate the lowest common multiple of 4 and x.
44
Let p be (-9)/9 + 4/2. Calculate the smallest common multiple of (-10)/p*(-2)/4 and 11.
55
Let n(p) = -p**2 - 62*p + 391. Calculate the least common multiple of 280 and n(-65).
1960
Let i be -22*4/10*5*-2. What is the common denominator of 2/(-66)*-6 + 1238/i and 97/18?
36
Suppose 4*m - 5*m - 147 = -3*r, 3*m + r = -391. Let q be (-8)/2*81/(-18). Calculate the common denominator of 145/6 and (-1)/2 - q/m.
66
Let w = 3792200819985623/2865287759954 - 6/1882580657. Let j = 2647/2 - w. Let f = -15937/16742 - j. Find the common denominator