Suppose k - 203 = b. What is the least common multiple of k and 12?
960
Suppose 4*r = 3*y + 42, -y = 3*r - 2*y - 34. Let v be 7/(7/25)*(-2370)/(-50). Calculate the common denominator of v/(-42) + r/(-42) and 70/3.
6
Let x = 37 + -108. Let b = 35081/6 + -5864. Calculate the common denominator of b and (-12)/(-16) - x/(-8).
24
What is the common denominator of -71/114 and (1112/(-380))/((-26208)/780)?
1596
Find the common denominator of 2844/189 + -1 + -12 and 77/30.
210
Suppose -2*o + 9 = 5*c + 3, -5*o = 4*c - 32. Let y(i) = 6*i + 2 - 17*i**2 - 18*i**2 + 39*i**2. What is the lowest common multiple of o and y(3)?
56
Let f be -1*(-4)/3*64494/(-44). Let o = f - -1288219/660. What is the common denominator of o and -67/55?
660
Let m(p) = -69*p + 1307. What is the lowest common multiple of m(13) and 328?
1640
Let z be (-72)/192 + (-22173)/8. Let x = 83243/30 + z. Let g = 476 - 4252/9. What is the common denominator of g and x?
90
Let p = -11 + 14. Suppose 0 = -5*k + u + 5, -k + 7*u - p*u - 18 = 0. Calculate the smallest common multiple of 18 and k.
18
Suppose 20*p + 846 = 16*p + 2906. What is the lowest common multiple of p and 55?
5665
Let q = 94 - 34. Suppose 3*d - 62 - 130 = -3*d. Calculate the lowest common multiple of q and d.
480
Let s = 215728 - 215716. Calculate the smallest common multiple of s and (4/(-8))/((-1)/28).
84
Let a be (-15 + 14)/((-2)/(-6)). What is the smallest common multiple of 20 and a + (-35 + 2)/(-3)?
40
Suppose u = 8*u - 21. Suppose -l = -3*q + 53, u*l = 2*q - 41 - 6. Calculate the lowest common multiple of q and 1.
16
Let o(b) = 9*b**2 + 215*b + 843. What is the least common multiple of (-1)/4 + (-642)/(-8) and o(-19)?
560
Suppose 68 = -2*h - 54. Let f = 11061/4 - 2750. Calculate the common denominator of f and (h/36 + 3)*3.
12
Let p = 159 + -84. Let f = p + -68. Let w = 5 - 1. Calculate the lowest common multiple of f and w.
28
Let d(r) = 2*r**3 - 2 - 75*r - r**3 - 2*r**3 + 36*r + 5*r**2 + 46*r. Let f be (-1)/(-5) - 38/(-10). What is the least common multiple of 20 and d(f)?
420
Suppose 4*q = 7*q - 180. Let b be ((-244)/(-21)*3)/(4/14). Calculate the smallest common multiple of (-10)/q + b/12 and 8.
40
Suppose -v + 16 + 9 = 0. Let j = -554 - -556. What is the smallest common multiple of v and (j*-1)/(-30 + 29)?
50
Let j = 7868 - 7858. What is the least common multiple of 2/(-8) + 1815/12 and j?
1510
Let g = -3674983/48 + 76559. Find the common denominator of g and -95/3328.
9984
Suppose -2*j = -v - 4 - 20, -3*v - 2 = j. Calculate the common denominator of 151/12 and -8 + j + (-220)/105.
84
Let z = 35582141 - 41097370037/1155. Let t = z - 56/33. Calculate the common denominator of -13/70 and t.
70
Let v(y) be the third derivative of -17*y**2 + 0 + 0*y + 3*y**3 - 1/24*y**4. What is the least common multiple of 6 and v(12)?
6
Let f(w) = -24*w + 4. Let o be f(-8). Suppose 0*v - 4*v = -o. Let i = v - 41. Calculate the smallest common multiple of 5 and i.
40
Let n(c) = 6*c**3 + 3*c**2 - c - 1. Let j be n(1). What is the least common multiple of 22 and j*1 - (-17 + 12)?
132
Let h(j) = j**3 - 51*j**2 + 41*j + 534. What is the lowest common multiple of h(50) and 616?
1848
Suppose 0 = -294*a - 171*a + 1407555. What is the lowest common multiple of a and 33?
33297
Suppose -6*u + 3*u = 3*k + 9, 0 = 3*k - 5*u + 1. Find the common denominator of -122*-2*(-2)/40 and 48/k*(320/50 - 6).
5
Let f = 375449/1278915 + -46/3707. Find the common denominator of -23/90 and f.
2070
Calculate the common denominator of -33/1120 and (5 - 16*(-10)/(-28))*42/(-96).
1120
Calculate the smallest common multiple of (8 + 2)*(164*11/220 - 8) and 21730.
21730
Find the common denominator of (-8640)/93744*(252/(-48))/((-1)/(-2)) and ((-6)/(-8))/(6/(-332)).
62
Let m be (-4)/((-131640)/(-424989)) + 3. Let i = m - -15/1097. Calculate the common denominator of i and 1 - (-9)/(-6) - (-517)/88.
40
Let l = -1252/17 + 275661/3740. Calculate the common denominator of -47/880 and l.
880
Find the common denominator of (-3)/(-20)*26/(-15) and (-6)/(-5) + (-28768)/20880.
450
What is the common denominator of -1/315 and ((-53)/106)/(2079/438)?
3465
What is the common denominator of 7/330 and (-31 + 31 - (-1193)/(-180)) + 1 + 6?
1980
Let c be ((-2)/(-7))/(12/252). Suppose 7*i - 3*g = c*i + 16, 3*i + 5*g = 20. What is the smallest common multiple of i and 26?
130
Suppose 3*m + 10 - 1 = -3*c, m - 21 = 5*c. Let z(r) = r**2 - 21*r + 59. Let o be z(9). What is the least common multiple of (-7)/(98/(-48)) + (-28)/o and m?
4
Let j = -6 - 73. Let n = 89 + j. Calculate the smallest common multiple of n and ((-4)/5)/(3/(-30)).
40
Let v(s) = -2*s**2 + 14*s + 17. Let k be v(8). What is the common denominator of k - (-20)/72*1 and (-4)/(1648/5)*-6?
1854
Let r = 21693 - 16720. What is the smallest common multiple of 11 and r?
54703
Suppose 0 = 203*j - 2180 + 1774. Let y = -6 - -11. Suppose y*r - 2*r = 48. Calculate the least common multiple of r and j.
16
Suppose 4*b = 2*h + 6*b + 246, -119 = h - b. Let t = -97 - h. What is the least common multiple of t and 10?
120
Let k = 10473/14 - 340393/455. Calculate the common denominator of k and 36/455.
910
Let h = -14728685912/129 + 114174003. Let g = h + 1857. Calculate the common denominator of g and 83/30.
1290
Suppose -114*m + 109*m = -i - 49, -m + 23 = i. Suppose -4*t + 169 + 23 = 0. Calculate the lowest common multiple of t and m.
48
Suppose -20*a + 4270 = -4*f - 25*a, 4262 = -4*f - a. Let m = -8429/8 - f. Calculate the common denominator of m and (-242)/24 - (-1)/(-3).
24
Let s(f) = f**3 + 56*f**2 + 121*f - 446. Calculate the smallest common multiple of 1568 and s(-53).
1568
Let k be (-2)/(-3) + 115/(-15). Calculate the common denominator of k*1/(-10)*7 and ((-2)/(-10))/(120/(-4450))*1.
60
What is the smallest common multiple of 4004 and (20/(-120))/((-3)/1638)?
4004
Let g = 838/11 - 289959/3806. Let r = 2253/1384 + g. Let b = 7 - 79/9. What is the common denominator of r and b?
72
Let u(v) = -77*v - 1402. Calculate the least common multiple of 20 and u(-26).
600
Suppose 0*z = -2*z + 4*j + 10, -j = 2*z. Suppose -2*s - 4 = 0, -4*t - 3*s = -46 - 52. What is the smallest common multiple of t and z?
26
Let t = 137167559/392 - 349917. Find the common denominator of t and -25/88.
4312
Calculate the common denominator of (-9 - -7) + (-67)/(-96) and -33/1168.
7008
Let j = 13 - 10. Suppose -2*u + j + 7 = 4*n, 5*u + n - 43 = 0. What is the common denominator of (-2)/u + 5185/612 and 38/9?
36
Let z be (2/(-2) - 0) + (966 - 18). Let i = -9483/10 + z. Find the common denominator of -1/2 and i.
10
Let f(c) = c**2 - 2*c + 12. Let y(l) = -l + 12. Let i(v) = 2*f(v) - 3*y(v). Suppose 6*j + 102 = 23*j. Calculate the least common multiple of i(5) and j.
66
Let u = -1148828 + 902978663/786. Calculate the common denominator of -13/2 and u.
786
Let z = 5461/7 + -775. Find the common denominator of z and (-370)/(-96) - 9/((-270)/(-20)).
112
Suppose -9*c - 14*c + 968 = -15*c. Calculate the smallest common multiple of c and 66.
726
Let z be ((-205)/40 + 5)/((-378)/584433688). Let m = z - 193265. Find the common denominator of -75/14 and m.
378
Suppose -18746 = -528*z + 521*z. Suppose 76*v - 89*v + z = 0. Calculate the lowest common multiple of v and 6.
618
Calculate the common denominator of (-5)/((-15)/(-48)) + 11097/540 and (-4)/20 + (-10)/(-12).
60
Let j = 4476 - 40238/9. Let i = -8591/4 + 8737/4. Calculate the common denominator of j and i.
18
Let s(g) = -13*g + 9 + 28*g - 16*g. What is the lowest common multiple of s(1) and 78?
312
Suppose 5*f - 2*w - 50 = 0, 0 = 3*f + 4*w - 67 - 15. Let d = 6 + 4. Let v = d - -2. Calculate the least common multiple of f and v.
84
Let f be (-299)/(-2)*(-36)/90. Let m = f + 60. What is the common denominator of -85/8 and m?
40
Let o be (-5)/3*-3 - 24890/(-9). Let s = o - 2777. What is the common denominator of -8/99 and s?
99
Let d be 8/4*(-7)/(-2). Suppose d = 2*o - 4*a - 1, -o + a = -7. Suppose z = 6*z - o. What is the smallest common multiple of 10 and z?
10
Let i be (-2 - (-96)/15)/((-20)/(-50)). Find the common denominator of 31/5 and (312/(-28) + i)/((-10)/721).
10
Let c be (2827/1473)/(52/51). Let k = c + 105/491. Find the common denominator of k and 34/(-119) + (-4)/((-504)/(-629)).
468
Let g = 617445 + -809470324