002. Calculate the smallest common multiple of (3 - -1)*3/4 and t.
12
Find the common denominator of 62/15 and -6 - ((-1988)/1575 - 5).
225
Suppose 108 = -0*d + 12*d. Suppose k + d - 21 = 0. Suppose -3*p - 26 = -68. What is the least common multiple of p and k?
84
Let q(b) = -b**3 + 6*b**2 - 3*b + 2. Let y(o) = -10*o - 56. Calculate the smallest common multiple of q(5) and y(-6).
12
Suppose 4*q = 9*g + 48, 60 = 5*q - 4*g + g. Let m = 34 - 12. What is the lowest common multiple of m and q?
132
Let c = -42 - -47. Calculate the common denominator of ((-4)/48)/(c/(-267)) and 19/36.
180
Calculate the smallest common multiple of 80 and 9 - (-4 + 0)*48/64.
240
What is the smallest common multiple of 56 and 3195/135 - 2/(-6)?
168
Calculate the least common multiple of (-24)/18 + (93/9 - 2) and 53.
371
Let v = 491/165 + 719581/660. Let z = v - 1102. Find the common denominator of z and 11/4.
4
Let d = -332/7 + 3946/77. Let l(v) = 4*v**2 + 7*v + 4. Let w be l(-4). Find the common denominator of 9/((-99)/w) + 2 and d.
11
Calculate the common denominator of (-18)/(-3) + 4/(420/(-259)) and 11/7.
105
Calculate the lowest common multiple of 16/(-44) + 1852/11 and 14.
168
Let b(n) = -8*n + 1. Let r(i) = 16 + 4*i - 3*i - 5 + 0*i. Calculate the least common multiple of b(-1) and r(0).
99
Let k = 348 - 186. What is the smallest common multiple of k and 90?
810
Calculate the common denominator of ((-7)/62)/(-9 + (-315)/(-36)) and 31/7.
217
Suppose 19*v + 164 = 316. Calculate the smallest common multiple of v and 90.
360
Suppose 2*k - 69 = -2*w + k, -3*k - 31 = -w. Calculate the smallest common multiple of w and 51.
102
Let k = -161 + 173. Calculate the lowest common multiple of k and 100.
300
Calculate the common denominator of (-58)/(-319) + -2 + (-79)/(-22) and 0 + ((-254)/(-36) - 2).
198
Suppose 3*s - 1723 = -1651. Calculate the lowest common multiple of 6 and s.
24
Let w be 31 - -6*(-5)/15. Suppose -x + w = -5. Calculate the lowest common multiple of 12 and 360/14 + x/119.
156
Let j = 2967/650 - 246/65. What is the common denominator of 139/90 and j?
450
Let n(f) = -f**2 + 30. Let q(p) = 13*p**2 + 3. Calculate the lowest common multiple of n(0) and q(1).
240
Let b(x) = -x + 5. Let n = 10 - -1. Calculate the least common multiple of n and b(-5).
110
Let o = 1109 + -953. Calculate the lowest common multiple of 24 and o.
312
What is the least common multiple of 340 - (102/(-6) + 12) and 150?
3450
Let g(s) = 8*s**2 + 33*s + 118. Calculate the smallest common multiple of g(-4) and 24.
456
Let r be (956/1160)/((-4)/6). Let f = r - 12/29. Find the common denominator of f and 85/22.
220
Suppose 0*i + 8 = -2*i. Suppose 2*u + 22 = -4*m, 3*m = -3*u - 0*m - 39. What is the common denominator of u and (-1 + 3)*i/(-56)?
7
Let t(x) = x**3 - 4*x**2 + x. Calculate the least common multiple of (5 - 3) + (1 - 0/1) and t(4).
12
Suppose 0 = 4*g - 4, -2*r + 0*g - 3*g + 9 = 0. Let m(h) = -1 + h**3 - 15*h + 2*h + r + 4*h**2 + 0. What is the least common multiple of 7 and m(-6)?
56
Let m(b) = -75*b + 558. What is the least common multiple of m(6) and 7?
756
Let l = -401623/40570 + -2/4057. Calculate the common denominator of 1/10 and l.
10
Let p(g) = -2*g**2 - 1. Let t be p(-1). What is the lowest common multiple of 2 and (-6 - t)*(-21)/9?
14
Find the common denominator of -103/42 and 13/(585/36)*90/(-28).
42
Let p = -39353/24 + 1640. Find the common denominator of p and 113/96.
96
Suppose -4 = f + 5*y, -9 = 2*f - 2*y + 11. Let m = -5 - f. What is the smallest common multiple of m and 32?
32
Let f be ((-16)/6)/((-22)/(-33)). Let t be ((-20)/(-6))/(f/(-104)). Let s = t + -3625/42. Calculate the common denominator of s and -55/14.
14
Suppose -2*s = 5*q + 1, -q + 5*s = -2 + 13. Let v = 4 - q. Let m(z) = z**2 + 3*z - 9. Calculate the least common multiple of v and m(-5).
5
Suppose n = 5*n. Let j be (n - -1)*(-26)/13. What is the common denominator of 103/6 and ((-3)/(-18))/(j/92)?
6
Suppose -4 = -3*g + 5. Let f be 2*((-1 - 0) + 7)*1. Suppose 0 = 4*l + m - f, l - 12 = -3*l + 2*m. What is the lowest common multiple of l and g?
3
Let x = 1585/56 - 581/24. Calculate the common denominator of -41/201 and x.
1407
Suppose 5*j - 2*k = 175, -4*j - 2*k = 2*k - 112. Suppose 0 = y - 4*g - j, 0*y + y - 39 = g. Find the common denominator of y and (14/(-4))/((-4)/(-22)).
4
Let s = -39 - -59. Suppose -s = -i - 6. Calculate the lowest common multiple of i and 14.
14
Suppose 5 = 5*p - 15. Let b = 9 - p. Suppose b*m - 58 = 42. What is the least common multiple of 14 and m?
140
Suppose -3*s - 1 + 25 = 0. What is the least common multiple of 8 and s?
8
Let u = -99290/23 - -4315. Let x be (15/25 - 0)*30. Find the common denominator of u and ((-3)/(3/(-2)))/(x/(-25)).
207
Let z = 12569/9 - 1399. What is the common denominator of (-3 - 0)*(-58)/(-4) and z?
18
Let u be ((-189)/15)/(2/(-42)). Let b = -261 + u. What is the common denominator of -71/3 and b?
15
Let f = 4589/22 - 1794/11. Find the common denominator of -19/6 and f.
6
Let i = 158031 + -26549129/168. What is the common denominator of -49/39 and i?
2184
Suppose 18*k - 39*k = -378. What is the lowest common multiple of 124 and k?
1116
Let q = 76 + -77. Let d = 59/12 - 163/24. Find the common denominator of d and (-6)/(-48)*(103 + q).
8
Let b = 16050 + -513551/32. What is the common denominator of 11/72 and b?
288
Let c = -13118 + 7629. Let z = -6797747/6 - -1127492. Let v = c - z. What is the common denominator of -48 and v?
6
Let h(r) = r**2 + 1. Suppose 4*s + 4 = -4. Calculate the smallest common multiple of s/3 + 26/3 and h(2).
40
Suppose -2*s - 4*b = -34, 0*s + 4 = -3*s + 5*b. Suppose -4*y = -0*y - 20. Calculate the lowest common multiple of s and y.
35
Let m(b) = -6*b - 19. Suppose 3*t = -2*f - 14, 2*f + 2*t = -3*t - 18. Calculate the lowest common multiple of 7 and m(f).
35
What is the common denominator of -69/58 and (-1 + (-1675)/(-520))/(6/8)?
754
Let k(o) = o**3 - 4*o**2 - 20*o + 7. Let v be k(7). Suppose v*t - 30 = 9*t. What is the lowest common multiple of t and 22?
66
Let l = 57 - 56. Calculate the least common multiple of 106 and (6 - l)/(4 - 3/2).
106
What is the common denominator of ((-4)/(-168))/(-1*(-2)/(-344)) and -1/912?
6384
Suppose 0 = 2*l - 53 + 5. Calculate the least common multiple of (3 - (1 - 15)) + -2 and l.
120
Let t = -1556067/56 + 27788. Find the common denominator of t and 67/16.
112
Let q be (11/33)/(2/(-24)) - -2. Find the common denominator of (-268)/(-24) + q + -5 and -113/12.
12
Let i = -66903/10073 + -3/2878. Find the common denominator of 59/56 and i.
56
Let m(q) be the second derivative of q**5/20 + q**4/4 - q**3/3 + q**2/2 + q. Let p = -52 - -49. What is the lowest common multiple of m(p) and 11?
77
Suppose 0 = n - 2*n - 3*g - 35, 0 = -n + 3*g - 5. Let z = n + 36. What is the lowest common multiple of 22 and z?
176
Suppose 18*y = z + 16*y - 20, z + y = 5. Calculate the lowest common multiple of 4202 and z.
21010
Suppose -7*x = 9 + 5. Calculate the common denominator of x/(-6) - (-645)/36 and 33/82.
164
Let d(a) = 49*a + 2. What is the smallest common multiple of 4/6 + (-2)/(-6) and d(0)?
2
Let a(o) = o**2 - 8*o + 5. Let l be a(7). Let y be 26424/14 - 1 - l. Let s = y + -1885. Calculate the common denominator of -21/11 and s.
77
Let h be 2 - (-1 + (-1303797)/(-24030)). Let w = 38050/801 + h. Let t = -13/89 + w. What is the common denominator of t and -139/12?
60
Let k = -58363/2 - -30091. Let d = -888 + k. Let h = -554 - -7242/13. What is the common denominator of d and h?
26
Let x(g) = -g**2 + 12*g - 18. Let s be x(10). What is the lowest common multiple of 27*((-8)/(-12))/s and 24?
72
Let h = -8/4335 - 189151/78030. Calculate the common denominator of -50/27 and h.
54
Let k(j) = j**2 - 23*j - 30. Calculate the smallest common multiple of k(-7) and 12.
180
Let v = -29 - -33. Suppose 3*s = -9, 0 = 5*t + 5*s - 6 + 16. What is the lowest common multiple of (1/(-3))/(t/(-3)) and v?
4
Let b be 7108/(-5925) + (-8)/16. Let q = 1/1769 - 9463/10481325. Let z = b + q. Calculate the common denominator of z and -119/20.
20
Suppose 36*a = 35*a + 12. Let x be (-35)/2*-4 + -2. What is the common denominator of -79/4 and x*-2*a/352?
44
Let m = -8 + 21. Suppose -m = 2*t - 47. Let f = t + -9. Calculate the least common mult