t j(w) = 7*w**2 - 12*w - 10. Let k be j(-8). Suppose 0*c = -3*c - k. What is the least common multiple of 6 and c/(-8) + 3/(-12)?
66
Let x = -103/5 - -819/40. Find the common denominator of -101/160 and x.
160
Let d(r) = -r**3 + 5*r**2 - 6*r + 5. Let q be d(4). Calculate the lowest common multiple of (q/(-4))/((-2)/(-48)) and 12.
36
Suppose 95*h - 396 = 73*h. What is the least common multiple of h and 2?
18
Suppose 4*a = -3*w + 3 - 63, 5*a + 4*w = -76. Let n = -10 - a. What is the smallest common multiple of n and 42?
42
Let h(r) = 37*r - 50. Calculate the smallest common multiple of h(2) and 176.
528
Let x(d) = 9*d**2 - 3*d + 3. Let b be (0 - -4)*(-1)/(4/(-7)). Suppose 14*c - 21 = -b*c. What is the lowest common multiple of c and x(2)?
33
Let i = 10943/20 - 546. Find the common denominator of 121/708 and i.
3540
Let g = 5 + 5. Suppose 11*n = g*n + 8. What is the smallest common multiple of n and 8?
8
Find the common denominator of 3/(-21) - (-615)/2772*10 and -7/9.
198
Let n = 3 + 17. Suppose 280 = 10*r - 0*r. What is the smallest common multiple of r and n?
140
Let o = -6431/2178 - -1/121. Calculate the common denominator of o and 71/2.
18
Let j be (-1671)/417 + 32/8. Let b = j + -11519/2502. Calculate the common denominator of b and 57/2.
18
Suppose -162*q = -157*q - 220. What is the least common multiple of q and 10?
220
Let n = -148 + 2404. Suppose 0 = 3*t - 3*j + n, -t = t - 5*j + 1492. Find the common denominator of ((-4)/(-12))/(8/t) and 49/8.
8
Let l = -16 - -36. Calculate the common denominator of 5 + 424/(-48) + (-1)/3 and -3 - -1 - l/(-88).
66
Suppose 1428 = -1514*b + 1521*b. Calculate the lowest common multiple of 32 and b.
1632
Suppose 0*f - 2*f = -40. What is the common denominator of ((-1638)/(-30))/(-3)*(-5)/8 and (-2)/(-18)*525/f?
24
Calculate the common denominator of 53/5 and 0 + 35/(-22) - (-3)/(-6).
55
Let t(m) = 65*m - 1. Let p be t(1). Suppose 2*d + g = 5*g - p, 4 = g. Calculate the common denominator of 35/4*d/36 and 89/4.
12
What is the common denominator of -53/336 and (2/128)/(84/(-588))?
1344
Let f = 9 - 5. Suppose -5*s - 15 = -5*o, f*s + 4 = -0*s - 4*o. What is the common denominator of s/6 - 154/7 and 9/8?
24
Let y be -3 + (-5 + 3 - -9). Let x = 11 - 7. What is the common denominator of (-121)/12 - y/x and -67/8?
24
Let y(m) = -308*m - 18. Let r be y(-8). Let f = -24481/10 + r. Find the common denominator of -30/19 and f.
190
Suppose -x = -10*g + 14*g - 157, x + 163 = 4*g. Calculate the lowest common multiple of g and 130.
520
Let h = 17 + 10. Suppose 3*i + 30 = 4*g, -2*g - 16*i + 17*i + 16 = 0. Calculate the smallest common multiple of g and h.
27
Let q be ((-20544)/(-10))/(-2 - (-36)/20). Calculate the common denominator of (1 + 46/(-40))/(144/q) and (-9)/(-8)*(-9 - 0).
40
Let y = -94 + 67. Calculate the smallest common multiple of 4*((-53)/(-36) - (-6)/y) and 8.
40
Let x = -23619/22 - -1075. Let d = 731 + -1409/2. Find the common denominator of d and x.
22
Suppose 22*r = -2*o + 19*r + 424, -651 = -3*o + 3*r. What is the smallest common multiple of 5 and o?
215
Let c = 376/207 + -1013/5382. What is the common denominator of -7/3 and c?
78
What is the common denominator of -91/220 and 1010/(-440) + 1 - 0?
220
Let l = 109 + -79. Calculate the common denominator of 46/15 and -3*22/l - -1.
15
Suppose 4*u - 3*n - 119 = 0, 4*n - 23 = -4*u + 61. Suppose 88 = 86*h - 312 - 116. What is the smallest common multiple of u and h?
78
Suppose 4*r - 5*q = 23, -4*r + 2*q = -8 - 6. Suppose -39*o + 53*o - 56 = 0. Calculate the least common multiple of o and r.
4
Let x(w) = -w**3 - 4*w**2 + 5*w + 2. Suppose -4*b + l + 12 = -30, 47 = 5*b - 4*l. What is the smallest common multiple of b and x(-5)?
22
Suppose 250 = -16*c + 970. What is the lowest common multiple of 6 and c?
90
Let u = 11900813/16 + -744693. Let n be 1*1774*2/4. Let w = u + n. Find the common denominator of 5/14 and w.
112
Let m be (-3)/4 + (-47421)/108. Let b = m - -446. What is the common denominator of 103/12 and b?
12
Let y(g) = g**2 + 3*g. Let c = 25 + -28. Let u be y(c). Suppose 3*a + u*a - 24 = 0. Calculate the least common multiple of 3 and a.
24
What is the smallest common multiple of 15 and (7 - 2)*(-8)/(120/(-1935))?
645
Let o = -682/29 + 12640/609. What is the common denominator of o and (-494)/90 - (-1105)/425?
63
Let k = 31 - 104. Let a = -69 - k. What is the lowest common multiple of 22 and a?
44
Let b be 16355/10 - -2*9/(-6). Let r(l) = 4*l**3 - 7*l**2 - 2*l + 9. Let m be r(8). Let j = m - b. What is the common denominator of j and -16/3?
6
Let y = -431 + 3868/9. Calculate the common denominator of y and (92/8)/((-14)/4*1).
63
Let a = -360 - -1154/3. Let p = 607/24 - a. What is the common denominator of p and 117/14 + 0/7?
56
Suppose -5*o - 6 = -3*o, -5*a + 5*o = -90. What is the smallest common multiple of a and 15?
15
Let d be 20/8*8/10. Suppose -d = 3*y - 11. Let h = 5 - y. Calculate the lowest common multiple of h and 10.
10
Let n = 5 - 3. Suppose -4*i + 5*i - 4 = -n*h, 8 = 2*i + 5*h. Suppose -4*a = -12, j + 3 = 5*a - 1. What is the lowest common multiple of j and i?
44
Let l = 6 + -4. Suppose 5*o - 33 = 3*i, i - 23 = -3*o + l*i. Let n = o - -7. Calculate the smallest common multiple of 8 and n.
16
Let o be (3126/(-21))/(10 + -8). Let p = 7762991617/112714560 - -1/1789120. Let r = p + o. Find the common denominator of -9/4 and r.
36
Let a = 176/19 + -1499/209. What is the common denominator of a and ((-4)/10 + 1)*(-441)/27?
55
Let m = 130/61 + 2495/976. Suppose 0 = 14*o - 11*o - 1458. What is the common denominator of m and 1/(-7) + o/(-28)?
16
Let q = 40984/33 + -1242. What is the common denominator of q and -53/3?
33
Let s be ((-1)/3)/((-7)/2499). Suppose v - 5*m + 9 = 46, 3*m = 5*v - s. Suppose 55 = y - 3*p + 7, -y + 20 = 4*p. Calculate the least common multiple of v and y.
396
Suppose -2*g - 5*a - 8 + 53 = 0, 2 = 2*a. Suppose 0 = -4*n + 8*n - g. Find the common denominator of 75/22 and 141/240 + 3/n.
176
Let p be (-1)/2 + (-32645)/10. Let n = p - -71723/22. What is the common denominator of -69/16 and n?
176
Suppose 1546 + 104 = 30*u. What is the least common multiple of u and 180?
1980
Suppose -1 = -3*z + 4*z - s, 0 = -4*z - 2*s + 20. What is the common denominator of -37/18 and -1 - ((-44)/(-24) + z)?
18
Calculate the common denominator of 28/473 and 12 + 1 - (-6113)/(-473).
473
Let t(i) = 13*i**2 + 4. Let w be t(3). Let l = 3405/139 + 1/278. What is the common denominator of (-2482)/(-264) + 22/w and l?
12
Suppose 18 = 5*f - g + 3*g, 3*f - 11 = -g. Calculate the common denominator of -151/6 and (19/f)/((-162)/72).
18
Suppose 26 - 2 = 3*v. Suppose -w - 3*w = -v. Suppose -3*l = -8*l + 35. Calculate the lowest common multiple of w and l.
14
Let m(p) = -2*p - p + 3 + 2*p. Let v be m(-13). Suppose 3*b - z = 10, z - v = -3*b + 4. Calculate the smallest common multiple of 7 and b.
35
Let w = -29476/5 - -2534591/430. Calculate the common denominator of -17/215 and w.
430
Let z = -70 - -73. Let a(n) = -n**2 + n + 1. Let l(s) = 3*s**2 - 7*s + 6. Let r(i) = -4*a(i) - l(i). What is the smallest common multiple of r(z) and 5?
40
Let f be 4 + -1 + 59 + 11/11. What is the common denominator of -61/5 and (4/135)/(-6*7/f)?
45
What is the smallest common multiple of 1 and 3/18 - (-795)/90?
9
Let a = 1094 - 734. What is the least common multiple of a and 2?
360
Suppose 304 = 3*k + 2*k + t, 123 = 2*k - t. What is the common denominator of 25/16 and k/4 - (-26 - -25)?
16
Let s = -16581/28 + 590. Calculate the common denominator of 43/12 and s.
84
Let v be (-2 - 348/(-177))/((-36)/2). Let j = v - 20719/5310. What is the common denominator of j and -1/18?
90
Suppose 0 = -3*q + 4*q + 2*w - 256, -2*q + 3*w = -498. Calculate the smallest common multiple of 6 and q.
252
Let y = -37287/5 - -85610967/11480. Let r = y - -104459/6888. What is the common denominator of r and -45?
6
Let n = -27 + 25. Calculate the smallest common multiple of 24 and 13 + -2*(n + 4).
72
Suppose -29785 = -0*r + 5*r. Let w = 794693/32 + -24831. Find the common denominator of w and (3/(-14))/(230/r).
160
Calculate the common denominator of -71/4 and (242/(-28) + 9)*(-161)/36.
72
Let l = 901636/5 + -179704. Let m be (-4)/(((4/2)/2)/155). Let s = l + m. Find the common denominator of -23/8 an