 -6 = n*g - 24*g. What is the smallest common multiple of 1 and g?
6
Suppose b - 4*b = 15, 3*b - 590 = -5*w. Suppose -12*j + 8084 = 5180. What is the least common multiple of w and j?
242
Let p(t) = 2*t**3 - 6*t**2 - 8*t + 42. Calculate the lowest common multiple of 156 and p(3).
468
Suppose 48*k + 17777 = -14095. What is the common denominator of 2/20*(-350)/(-4) and (7 - k/(-120))/((-8)/(-110))?
12
Suppose 878*k - 18811 = -373. Let a = -34 + 48. What is the lowest common multiple of a and k?
42
Let p = 3817 + -3813. Calculate the lowest common multiple of p and 6/(-8) + (-5)/(-120)*4962.
412
Suppose 4132 = -3*p - 7418. Let j = p + -2854. Let h = -67117/10 - j. What is the common denominator of 29/10 and h?
10
Let j = -10820 + 11198. Calculate the lowest common multiple of j and 126.
378
Let w = 18689 - 149595/8. Find the common denominator of w and -75/5656.
5656
Let c = 762985/6673596 - 1/11049. Calculate the common denominator of c and -49/372.
56172
Let c(u) = -50*u - 443. Let o(r) = r**2 + 107*r - 9. Let w be o(0). What is the smallest common multiple of (-2)/(-7) - (-61)/7 and c(w)?
63
Find the common denominator of 532/76 - (-1 + 335/36) and -69/136.
1224
Suppose 2*f + 40 = n + 6*f, 0 = -3*f + 6. Let b(h) = -923*h - 5494. Calculate the least common multiple of n and b(-6).
352
Suppose 1818 = 35*n + 575 - 4252. Calculate the least common multiple of n and 3*2*(-4 + 5).
942
Suppose -394 - 150 = -2*q - 2*s, -5*q + 1352 = 4*s. What is the lowest common multiple of 1221 and q?
9768
Let w(x) = x**3 + 28*x**2 + 50*x + 27. Let o be w(-26). Let d = 1 + o. Suppose 0 = -7*j - 3*j + d. What is the smallest common multiple of j and 6?
24
Let c(d) = -2*d**3 + 2*d. Suppose 17*s - 222 + 282 = 1658. Calculate the least common multiple of s and c(-2).
564
Let w be (-5 - -8) + (1 + -2)*-65. Suppose 6*m - w = 4*m. Let i = 2/1125 + 13048/1125. Calculate the common denominator of i and m.
5
Suppose 64 = -457*b + 455*b. What is the smallest common multiple of 21 and (b/(-4) - (0 - -2))*2?
84
Suppose 0 = -22*x + 3184 + 5893 + 25419. Calculate the smallest common multiple of 539 and x.
17248
Let m = 425/36 - 283/27. What is the common denominator of m and -17/152?
4104
Let c = 4814/7 - 684. Suppose 4*h + 0 = 5*z + 1, -2*h + 2 = -2*z. What is the common denominator of (198/(-75))/z + 2 and c?
175
Calculate the lowest common multiple of 957 and 1825/1460*24/10.
957
Let b = -8724 - -8730. What is the smallest common multiple of 3468 and b?
3468
Let s(n) = 2*n**2 + 62*n - 60. Calculate the lowest common multiple of 314 and s(-32).
628
Let y(i) = 43*i**2 - 164*i - 12. What is the least common multiple of y(4) and 66?
660
Let i = -27813/14 - -1995. Calculate the common denominator of i and -2/947.
13258
Let y = 2 + 2. Suppose 2*i = -2*f - 3*f + 52, -y*i + 82 = -f. Let j = i - -17. Calculate the least common multiple of 3 and j.
114
Let t be (-3560)/(-18) + 7/((-252)/(-8)). Suppose -114 = 6*j - t. Let c(r) = r**3 + 7*r**2 - 5*r - 5. Calculate the lowest common multiple of c(-7) and j.
210
Let v be (-2)/3*(11 - 17). Let q be v - (-1 - -3)*(-147)/(-6). Calculate the common denominator of -2 + (-5 - 141/q) and 2/15.
15
Suppose 5*y + 5974 - 829 = 0. Find the common denominator of -38/55 and (y/(-264) - 1)/(-12 - -15).
440
Let r(a) = -a**2 + 124. Let c be r(-11). Suppose c*l = 14*l - 297. What is the least common multiple of 153 and l?
459
Suppose 391 = 5*s - 284. Suppose -5*a + b + 225 = 0, a + 3*b = 4*a - s. What is the lowest common multiple of 81 and a?
405
Suppose 16725 = 501*o - 476*o. What is the least common multiple of o and 24?
5352
Let b = -9 + 18. Suppose -3*v + 2*v = -b. Let n(w) = w**3 - 17*w**2 - 38*w + 10. Calculate the smallest common multiple of v and n(19).
90
Let k(i) = i**2 + i. Let l(p) = p**3 - 3*p**2 + 23*p - 7. Let o(a) = -6*k(a) + l(a). Calculate the least common multiple of 18 and o(9).
1314
Suppose 468*d + 192*d = 20*d + 7040. What is the smallest common multiple of 78 and d?
858
Let b = 527 + -485. Suppose 17*l - 11*l = b. What is the least common multiple of 28 and l?
28
What is the smallest common multiple of (1022 + (-1 - 4))/(-1 + (-20)/(-8)) and 64?
21696
Let h(l) = 0*l - l + 18 + 2*l + 0*l. Let n be h(-16). Suppose -n*s + 0*s = -50. What is the lowest common multiple of 2 and s?
50
Suppose -j + 20124 = -2*j. Let m = 148534472441/7378780 + 1/368939. Let w = j + m. Calculate the common denominator of 41/2 and w.
20
Let u(h) = -261*h + 1404. Calculate the lowest common multiple of u(4) and 360.
360
Let m = 3720 - 353404/95. Let g = m - 459/380. Find the common denominator of -3/5 and g.
20
Let b = 200 + -143. Let d = -68 - -77. Calculate the smallest common multiple of b and d.
171
Let z = -1005967473/1210 - -831378. What is the common denominator of 48/121 and z?
1210
Suppose 5*g + 3862 + 618 = 0. What is the common denominator of g/108 - -7 - 1 and 49/30?
270
Let h be (3 - -9)/(-2)*3815/(-15). Let u be -1 - h/130 - 0. Let x = u - -19751/780. Find the common denominator of x and -8.
12
Let u = -213771/55 - -3886. What is the common denominator of 64/45 and u?
495
Let f(p) = p**3 + 3*p**2 - 3*p - 4. Let d be f(-2). Suppose -5*t + 546 = d. Calculate the least common multiple of 12 and t.
108
Suppose -18 - 18 = -3*w. Let v = -570 - -684. What is the smallest common multiple of v and w?
228
Let x be ((-22)/2)/(7/(-28)). Let w = x - 32. What is the lowest common multiple of w*(-4)/(3 - 15) and 6?
12
Let q = -18917 + 19573. Calculate the least common multiple of 12 and q.
1968
Let w(z) = z**3 + 9*z**2 - 133*z - 18. Let t be (-70)/7*4/(-5). Calculate the smallest common multiple of w(t) and 356.
1068
What is the common denominator of 3*(-6154)/3840 + 5 and -37/640?
640
Let c(f) = 6*f**2 - 4*f - 1. Let w be c(4). Let x = -60 + w. Suppose y = 4*l - x, -3*l = -0*y - y - 13. Calculate the lowest common multiple of l and 12.
12
Let v(g) = g**3 + 9*g**2 - g - 6. Let y = 555 + -543. Calculate the least common multiple of y and v(-8).
132
Let o(r) be the second derivative of 21*r + 0 - 1/6*r**3 + 5/2*r**2. What is the smallest common multiple of o(-3) and 10?
40
Let d = 1333/14 + -13953/140. What is the common denominator of d and 45/23072?
115360
Suppose 5*g = -5*g. Let l(q) = -2*q**2 - 2*q - 1 + 5 + 0 - q**3 + 4*q**2. What is the smallest common multiple of 4 and l(g)?
4
Let q = -132/943 + 116063/67896. Calculate the common denominator of 79/72 and q.
72
Let n(m) = -m + 4. Let p be n(2). Suppose u + 0*u = -p, -4*i = 3*u + 82. Let y = i - -37. What is the least common multiple of 18 and y?
18
Let j = -6949 + 6981. Calculate the smallest common multiple of 1328 and j.
2656
Let x(k) = 19*k - 58. Let t(f) = -2*f - 1. Let l(v) = 4*t(v) + x(v). What is the lowest common multiple of 10 + (3 - (-4 + 7)) and l(6)?
20
Suppose -3*i + 119 = 7*l - 3*l, -149 = -5*l - 4*i. Let o be ((-6)/12)/(1/(-24)). Suppose -8*w = -o*w + 20. What is the lowest common multiple of l and w?
145
Suppose 161*i - 62*i - 1463 = -110*i. What is the lowest common multiple of 79 and i?
553
Let g(s) = 8*s**2 + 15*s - 239. Calculate the smallest common multiple of g(-8) and 18.
306
Let r = -445 + 4447/10. What is the common denominator of r and 92/(-82) - (6/6 - 1)?
410
Let p = -54693/50 + 2189/2. Calculate the common denominator of p and 3/(-72)*267/(-10).
400
Find the common denominator of -35/36914 and (7 - 8/((-616)/(-561)))*73/(-4).
258398
Suppose 3*b - 7 + 1 = 0. Suppose 13 = 3*p + 4*n - b*n, p - 7 = 2*n. Let r(h) = -703*h + 7740. Calculate the smallest common multiple of p and r(11).
35
Suppose 214 = -3*r + h + 79, 3*r - 5*h = -147. Find the common denominator of -35/44 and ((-172)/1290)/(r/249).
220
Let m(b) = b**3 + 17*b**2 - 124*b - 262. Calculate the common denominator of 83/514 and m(-22).
514
Let h be 2 + (-2 - -6) - -3. Suppose 7*t = h*t - 660. Calculate the smallest common multiple of t and 27.
2970
Let b(c) be the first derivative of -15*c**2/2 - c + 2. Suppose 45*d + 1079 - 1349 = 0. What is the smallest common multiple of b(-7) and d?
312
Let l = -3189282790 + 1492583712833/468. Let k = 12160/9 + l. Find the common denominator of 61/2 and k.
52
Let q = 39803/8 - 4968. What is the common denominator of q and ((-186)/12 + 16)*((-66)/125)/(-3)?
1000
Let u = -80960120/9 + 1