- 3/u and -49/66.
396
Let k(n) = -4*n**3 - 20*n**2 - 24*n. What is the lowest common multiple of k(-8) and 160?
960
Suppose -18 - 2 = -5*r. Suppose -5*x - 113 = -4*q + 38, r*q = 2*x + 142. Suppose 8*w - 5 = 75. Calculate the smallest common multiple of w and q.
170
Let k = 61 - 107. Find the common denominator of k and (-1680)/980 + 3081/756.
36
Let f = -3020 + 105774/35. Find the common denominator of f and (-50)/(-175)*301/(-100).
350
Suppose 2363 = 30*v - 37. What is the smallest common multiple of v and 96?
480
Suppose 2*q - 24 = -2*q. Let w be 40/q - (-34)/(-51). What is the common denominator of 12/8 + (-106)/w and 43/12?
12
Suppose -c = -4*q + 18, c + 142 = -3*c + 2*q. Let n = 56 + c. What is the common denominator of -63/20 and n + -17 + (-62)/12?
60
Let t be (-4)/2*40/(-8). Suppose -7 = 3*c - t. Find the common denominator of (26/(-99))/(c/3) and -31/21.
231
Suppose 0 = 4*m + 146 + 54. Calculate the least common multiple of (-20)/m + (-76)/(-10) and 4/(-30)*3 + -1 + (-2112)/(-55).
296
Calculate the common denominator of -3*1443/(-2079) + ((-660)/(-84) - 8) and -1/22.
66
Let o = -34 + 30. Let r = -20/57 - -727/285. What is the common denominator of ((-3)/(-45))/(o/198) and r?
10
Let a = 20 + -24. Let r be a/6 + (6 - (-1480)/6). Let n = -132 + r. What is the least common multiple of n and 8?
120
Let b(h) = 19*h + 1. Let c be b(-5). Let z = -34591/922 - -8/461. What is the common denominator of z and c/(-14)*(-49)/(-378)?
54
Let i be 2/1*(-9)/(-6) + -408. Let s be (-75)/3*-1*(-24)/(-2). What is the common denominator of 1/20 and (-2)/(-10) + i/s?
20
Let u be (-10 - -7)*(-1)/1. Suppose u*t - 2*y - 14 = -0*t, y = 4*t - 27. Suppose -t*z + 14 = -10. What is the least common multiple of z and 6?
6
Let w(l) = 62809*l**3 - 1. Let u be w(-1). Let t = 5024713/80 + u. What is the common denominator of t and -17/4?
80
Let q = -207391 - -1244273/6. Let k = 134727/22616 - -10/8481. Find the common denominator of q and k.
24
Let u be (-1 + -1)*18/(-1). Let n(p) = -p**3 - 8*p**2 + 12*p + 37. What is the common denominator of 537/u - (-8)/(-12) and n(-9)?
4
Let t(k) = -2*k + 0*k + 27 + 3*k - 2*k. Let r be t(20). Suppose -63 = -r*f - 2*f. Calculate the lowest common multiple of f and 23.
161
Let p(x) = 5*x**2 + 3*x - 6. Let l be p(3). Calculate the smallest common multiple of 26 and (-6)/(-1) - (44 - l).
130
Find the common denominator of 29/57 and (4/12)/(50/(-350)).
57
Suppose 8*m = -6*s + 5*m + 132, 0 = 5*s + m - 98. Let g(t) = -113*t + 2. What is the smallest common multiple of s and g(-2)?
684
Let d = 38906 - 38786. Calculate the smallest common multiple of 489 and d.
19560
Suppose 5*r = 33 + 147. Suppose 2*z + z + 52 = -4*l, 0 = 2*z - 2*l + 30. Let t = z + 25. What is the lowest common multiple of r and t?
36
Calculate the common denominator of -151/18 and ((-8)/10)/(-823*(-225)/625).
14814
Suppose -585 = -4*r + 7*r. Let p = -1985 + 5897/3. What is the common denominator of 3*1 - (-450)/r and p?
39
Suppose -o + 184 = 58. Calculate the common denominator of 71/28 and (-3)/(-2)*(-180)/o.
28
Let p be 12*(-6)/72*-15. Let h(g) = 3*g + 1. Let t be h(-2). Let d = p + t. What is the least common multiple of 7 and d?
70
Let t(i) = 2*i + 26. Suppose -2*v = z + 3*v - 14, 4*v = -2*z - 2. Let b(j) = 5*j + 112. Calculate the least common multiple of t(z) and b(-22).
4
Let p be (66/(-88))/(2/(-32)). Let z(i) = -i**3 + 13*i**2 - 13*i + 18. Let h = 102 + -101. What is the lowest common multiple of z(p) and h?
6
What is the common denominator of 42/391 and 8 + 5841/(-765) + -1?
1955
Let d = 2213823 - 24307928/11. Let u be -36*167*8/(-12). Let r = u - d. What is the common denominator of -11/2 and r?
22
Let o(y) = y**2 - 10*y + 2. What is the lowest common multiple of 132 and o(0)?
132
Let h = -1 + 20. Suppose -2*y = d - h, 0*y = -2*y + d + 25. Let w = -466 - -476. Calculate the smallest common multiple of w and y.
110
Let x = 660162075/1546 - 427013. Find the common denominator of -29/4 and x.
3092
Suppose 2*n - 62 = -2*v + v, 2*v - 4 = 0. Let w be 24/(2/(-1))*n/8. Let l = 55 + w. Calculate the smallest common multiple of 10 and l.
10
Suppose 4*r = -3*k + 30, 23*r + 2*k + 36 = 25*r. What is the lowest common multiple of r and 1552?
4656
Let s be (8/9492)/(18/158031). Let v be 2 - (284/226 - -1). Let k = s + v. What is the common denominator of 35 and k?
7
Let m = -3/11221 + -39946/482503. What is the common denominator of m and 5/344?
2408
Suppose -3*d - 3*i + 561 = 0, 5*d + 898*i - 900*i - 886 = 0. What is the least common multiple of 636 and d?
9540
Suppose 2*a = -4*u + 691 + 1077, 3523 = 4*a - 5*u. Calculate the smallest common multiple of 392 and a.
3528
Let v = 36/23563 + -58981213/1979292. Let b = 232/21 + v. What is the common denominator of b and (-21)/3 + (-5640)/(-768)?
32
Let q = 34561787/332 + -104099. Let t = q - 3/166. What is the common denominator of t and (-5)/36*7/((-420)/261)?
48
Suppose 2*q + 7 = 2*i - 27, 0 = -i + 4*q + 11. Calculate the least common multiple of 1 and (i - (-2 - 0))*1.
21
Suppose -15 = -y + 5. Suppose -z = -2*z - 5. Let n(q) = q**3 + 7*q**2 - 12*q - 4. What is the lowest common multiple of y and n(z)?
1060
Let p(v) = 7*v + 107. Let f(r) = 8*r + 107. Let h(y) = 4*f(y) - 5*p(y). Calculate the smallest common multiple of h(-36) and 11.
11
Let b = -479460137/10905 - -43967. Let l = b - 106861/43620. Calculate the common denominator of l and -109/105.
420
Suppose -1472 = -3*u + 12*n - 10*n, 3*n - 7837 = -16*u. What is the least common multiple of u and 196?
980
Suppose -2*v = -8*v - 277806. Let n be (v/18)/(12/18). Let c = n - -3861. What is the common denominator of 57/4 and c?
12
Let j = 22 - -23. Let i be (j/(-25))/(0 - (-2)/10). Calculate the common denominator of (-7)/((-14)/8) - (-43)/i and 58/7.
63
Suppose -5*o + 32 + 143 = 0. Calculate the smallest common multiple of ((-16)/(336/(-7)) - 206/(-12))*2 and o.
35
Let v = 18170/7 + -2602. What is the common denominator of v and -46/61?
427
Let l = -73863/10 - -7375. Let n = 263056/103 + -2554. What is the common denominator of n and l?
1030
Let a be (-24)/18*(-57)/(-106). Let u = a + 1906/2067. Calculate the common denominator of u and (-41)/(615/44) + (2 - 1/(-1)).
195
Suppose -11*r = -16*r + 10. Let n = r - -18. Find the common denominator of -23/16 and 375/(-24)*(18/n)/(-3).
16
Let m = 433513/2878482 - 5/13514. Let n = 169/99 + -925/297. Calculate the common denominator of m and n.
1917
Let s(x) = -x + 10. Let z be s(0). Calculate the common denominator of (-96 - -3)/(20/2) and 0 - -2 - 21*z/54.
90
Calculate the common denominator of (4/((-32)/6))/((-1440)/420) and -97/464.
928
Let v(n) = -7*n - 6. Let j(l) = -l**3 - 85*l**2 + 280*l + 9258. What is the smallest common multiple of v(-6) and j(-87)?
36
Let j(f) = -2*f**2 - 472*f - 25613. Let m = 79 + 91. What is the lowest common multiple of m and j(-150)?
1870
Let i = -2723 - -4810. Let u = -1069 + i. Let x = -28493/28 + u. Calculate the common denominator of -19/2 and x.
28
Let i = 581778 + -535235819/920. Calculate the common denominator of i and -125/552.
2760
Let q be (1/(-2))/((-8)/64). Let m be q/(-14) + 336/(-49)*2. What is the common denominator of 2/m*1 - 2262/(-252) and -25?
6
Let y = 8334 - 6924. Calculate the smallest common multiple of y and 470.
1410
Let r = 32 + 88. Let o be (-4)/(-6)*r/16. Suppose o*k - 47 = -227. What is the common denominator of k and -43/5?
5
Let f = 3 + 0. Suppose -2*c - 4*k = -26, f*c - 21 - 15 = -5*k. Suppose 16 = -b - c. What is the common denominator of b and 51/7?
7
Let m(b) = -b**3 + 5*b**2 - 16. Let j be m(4). Suppose j = -11*g + 8*g + 15. Calculate the smallest common multiple of g and (6/(-4))/(15/(-30)) + 6.
45
Let z be (2892/(-75))/(2/6). Let q = -86154312869/450 + 191454138. Let m = q + z. What is the common denominator of 11/24 and m?
72
Suppose -10*t + 11200 = 42*t - 12*t. What is the least common multiple of t and 210?
840
Let p(a) = -a**2 - 8*a + 13. Let k be p(-10). Find the common denominator of 76/(-6)*(-24)/32 and (-266)/(-49) - 3/k.
14
Suppose 165 + 343 = 4*u. Let t = 126 - u. Find the common denominator of ((-266)/(-44))/(-7) + t and 49/8.
88
Suppose 2*x - 9 = -2*t + 21, 5*x - 63 = -t. Let d(f) = -f + 6. Let g be d(x). What is the common denominator of -75/62 and (-