ppose 3*h + 740 + 169 = q. What is the common denominator of 119/10 and (-1 + -2)*h/54?
30
Suppose 2*r - 8 = -10. Calculate the common denominator of (-146)/28 - r/(-6)*6 and 71/10.
70
Suppose 13*i - 22*i + 1044 = 0. What is the smallest common multiple of i and 18?
1044
Let z(o) = -2*o**2 - 5*o + 5. Suppose 0*j - 28 = 3*r + 5*j, 0 = r - 2*j + 2. Calculate the common denominator of 2/5 and z(r).
5
Suppose 3*j = 8 + 4. Let z be 40*(j + (-11)/(-2)). Calculate the common denominator of 4/(-6) + z/48 and 21/8.
8
Suppose 6*s - 28 = 98. Suppose 4*g - 79 - 101 = 0. Calculate the lowest common multiple of g and s.
315
Suppose 3*j = h + 2, -2*j = 2*h - 0*j - 12. Suppose -b + h*b + 4*a = 4, 0 = 4*b + 3*a - 10. Calculate the lowest common multiple of b and 2/10 + 441/45.
20
Let k = 7 + 7. Let x = 22 - k. What is the least common multiple of 20 and x?
40
Let g(m) = 603*m**3 - m**2 + 2*m - 1. Let b be g(1). Let k = b + -1087. Calculate the common denominator of 1/(-5) - k/(-30) and -34.
3
Let o = -3374 + 67583/20. Suppose -4*y + y = -3*x - 21, 3*x - 3 = -5*y. Calculate the common denominator of o and (y/40)/(2/(-24)).
20
Let v(k) be the second derivative of k**4/12 - 7*k**3/6 - 3*k**2/2 + k. Let t = -35 + 43. What is the smallest common multiple of v(t) and 6?
30
Calculate the lowest common multiple of (-4 + -7 + 5)*(-10)/12 and 80.
80
Let n = -133 - -203. What is the common denominator of 3/6*n/(-8) and -1 - (-1 - 123/42)?
56
Let y be 1 + (-2 - 1)/3. Find the common denominator of (265/125)/(2/(-5)) and y - 71*(-1)/(-2).
10
Let q = -17 - -11. Calculate the common denominator of ((2384/(-18))/8)/((-8)/q) and 13/14.
84
Let h(s) = 3*s + 4. Let n(q) = 2*q + 4. Let a(i) = 4*h(i) - 5*n(i). What is the lowest common multiple of a(7) and 16?
80
Let q(v) = -v**2 - 8*v - 5. Let i be q(-5). Find the common denominator of -41/6 and (i - 10) + (-198)/(-56).
84
Suppose 24*c - 23*c - 3*m + 2 = 0, -2*m = 3*c - 16. Let o = -9 - -19. Calculate the lowest common multiple of c and o.
20
Suppose w + f - 37 = 0, 5*w = f - 92 + 295. Calculate the lowest common multiple of w and 98.
1960
Let t(a) = a**3 + 18*a**2 - 17*a + 47. Let b be t(-19). Suppose b*j - 19 = 35. What is the smallest common multiple of j and 23?
138
Find the common denominator of 666/(-1260) + (-6)/14 and -137/30.
210
Let g = -116078895/17 - -6010804245/884. Let y = g - -28617. What is the common denominator of y and 125/12?
156
Let c = -32773/12 - -2729. Let l = -76 + 837/11. Find the common denominator of l and c.
132
Let f = -468/19 - -4820/171. What is the common denominator of f and 41/88?
792
Let p(q) = -q - 3. Let a be p(-7). Let h(n) = 32*n**2 + 2*n - 1. Calculate the common denominator of a/(-14) + 78/77 and h(1).
11
Calculate the least common multiple of 90 and (322/98 - (6 - 2))*-35.
450
Suppose 840 = 5*v + 6*h - 3*h, 2*v + 5*h = 355. Calculate the smallest common multiple of v and 105.
1155
Suppose -4*c - 2*c = -n - 2504, c - 422 = -n. Calculate the smallest common multiple of c and 190.
2090
What is the smallest common multiple of 5*12*-3*2/(-12) and 9?
90
What is the common denominator of 17/9 and (-18)/33 + 27174/45342?
2061
Suppose 5*t + 32 - 2 = 0. Let g be 4657/12 + (-4)/t. Let w = 397 - g. Calculate the common denominator of -145/6 and w.
12
Let y(v) = 2*v**3 - 9*v**2 - 4*v + 3. Let m be y(5). Suppose 8 + m = d. Calculate the smallest common multiple of 2 and d.
16
Suppose -63*h + 96 = -57*h. Calculate the least common multiple of (-2)/((-4)/10) - -2 and h.
112
Suppose 0 = -17*t + 12*t + 355. Suppose -5*z + 181 = t. What is the lowest common multiple of z and 2?
22
Let y be (-2 - 1) + 1569/(-21). Let s = 6166/77 + y. Let g = -75317/8 + 9427. Find the common denominator of s and g.
88
Suppose -6 = -3*r, -w - 19*r + 32 = -22*r. What is the smallest common multiple of w and 6?
114
Suppose b - 5*b = -12. Suppose 2 = b*r - 4. Suppose 4*m + 3*x = 70, 7*m = 3*m - r*x + 68. Calculate the lowest common multiple of 56 and m.
112
Let i(x) = 4*x + 92. Let q be i(-22). Find the common denominator of (1 - 0)*q + (-2152)/320 and 73/40.
40
Suppose 49*g - 73*g + 168 = 0. Suppose -9 = -3*s, -3*p + 0*s = 2*s - 30. What is the least common multiple of p and g?
56
Let x = -19523/186 - -593/31. Let l = 86 + x. Find the common denominator of l and -11/10.
30
Let l(m) = m**3 + 19*m**2 - 36*m - 10. Let i be l(-21). What is the common denominator of (-425)/i*6/(-80) and 103/22?
704
Let t = 225981 - 103725355/459. Find the common denominator of 29/33 and t.
5049
Suppose 0 = 2*i + 2*m - 122, 2*i + 5*m - 116 = 9*m. What is the lowest common multiple of 6 and i?
60
Let y be 1277/4543 - 6/21. Let a = y - 57755/1298. What is the common denominator of a and 145/18?
18
Let w(k) = -4*k + 17. Let o be w(-4). Suppose -3*u = -4*p - o, -55 = -5*u - 0*p - 5*p. Calculate the smallest common multiple of 10 and u.
110
Suppose p - 2 = 2*u, -3*p - u + 0 + 13 = 0. Let g be (-63)/(-15) + (-1)/5. Suppose -g - 32 = -2*r. Calculate the lowest common multiple of p and r.
36
Let w = 3041633/127 - 23950. Let z = w + 10009/2667. Find the common denominator of z and 61/24.
168
Let c be 810/(-4)*8/(-5). Suppose 3*y - c = -2*u, u - 417 = -4*y + 15. Find the common denominator of 39/2 and 3/(y/284) - 3.
18
Let y be -2 + (1/(-2) - (-200890)/(-78588)). Let a be (-2)/236*(-3)/37. Let v = y + a. What is the common denominator of v and 101/36?
36
Let j(w) = -2*w - 4. Let u be j(-2). Suppose f + 6 - 19 = u. Suppose f = l - 4*g, 0 + 7 = l - 2*g. Calculate the smallest common multiple of 8 and l.
8
Suppose 0 = 11*f + 33 - 154. What is the least common multiple of ((-5)/(-15))/((-1)/(-3)) and f?
11
Let y be (-215)/820 - 2/8. Let s = -1405/779 + y. Let t = -2860/3 - -942. What is the common denominator of t and s?
57
Suppose 2*h - 3*h = 0. Suppose h = -x + 2*x - 2. Calculate the common denominator of 1*((-108)/(-32) + x) and 40/9.
72
Let m = 106/3 - 1415/42. Find the common denominator of m and -81/610.
4270
Suppose 6*j = 7*j - 30. Let d = j + -65. Calculate the common denominator of (10/d)/((-24)/(-70)) and 9/2.
6
Let r = -16 + 32. Let i = -14 + r. What is the common denominator of -79/15 and 14/6*(-13)/i?
30
Suppose 2*c + 8 - 24 = 0. Let x(p) = p - 6. Let u be x(17). Suppose -2*a + u*a = 198. What is the least common multiple of c and a?
88
Suppose -7*d + 30 - 198 = 0. Calculate the common denominator of d and -48/5.
5
Let l(b) = 5*b - 2. Suppose -r + 3*a = 4, 5*a = r - 3*r - 19. Let c = r + 11. What is the smallest common multiple of l(2) and c?
8
Suppose h + 7*h = 104. What is the common denominator of 58/33 and h/18*1*(-3)/(-2)?
132
Calculate the common denominator of 4374/(-1104) + 10/115 and -113/442.
1768
Let q = 82 - 78. Find the common denominator of (q - (-172)/(-16))*(-20)/(-25) and -35/6.
30
Suppose 410 = 4*z + 50. What is the lowest common multiple of z and 21?
630
Let d = 23 - 18. Suppose u + 16 = 2*z - 2*u, 10 = -d*u. What is the smallest common multiple of z and 9?
45
Let p = 85 - 52. Let v(d) = d**2 + 22*d + 61. What is the least common multiple of v(-20) and p?
231
Suppose 3*l - 5*w = -10*w + 206, -148 = -2*l + 2*w. What is the least common multiple of 207 and l?
1656
Suppose -58 = -3*i - 2*f, 3*i - 2*f - 48 = -10. What is the smallest common multiple of 604 and i?
2416
Suppose 72*p = 68*p + 16. What is the least common multiple of 42 and (p/2)/(0 + 2/5)?
210
Let m = -73 + 89. Let d(w) = -10*w + 1. Let x be d(1). Let y = x - -17. What is the least common multiple of m and y?
16
What is the common denominator of (30/(-49))/(22/(-154)) and -45/14?
14
Suppose 0*t = -16*t + 144. What is the lowest common multiple of t and 60?
180
Suppose 5*s - 7*s - 618 = 0. Let v = 3903 + -62469/16. Calculate the common denominator of v and ((-6)/28)/((-9)/s).
112
Let c(z) = 2*z**3 - 8*z**2 + z + 6. Let x be c(6). Suppose -12*a - x - 144 = 0. Calculate the common denominator of -79/21 and a.
21
Let o(c) = c**2 - 3*c + 2. Let q be o(3). Suppose -8 = q*d - 3*d. Suppose -h - 45 + 33 = -5*u, 5*h = 15. Calculate the lowest common multiple of u and d.
24
Suppose 3*s = -12*h + 11*h + 51, -3*s - 69 = -h. What is the lowest common multiple of h and 6?
60
Let j be -15 - (0 - (-4)/(-8)*6). Find the common denominator of 119/18 and (1169/j)/(-7) - 3.
36
Let j = -262