t common multiple of i and f?
14
Suppose 2*f + 107 = 5*w, -5*f - 50 - 39 = -4*w. Find the common denominator of 3*7/w - (-111)/(-20) and 27/8.
40
Suppose -3*p - 29 = 5*z - 74, p - 3*z - 1 = 0. Let c = 0 + 3. Calculate the smallest common multiple of p and c.
30
Let p = 1/449190 - -1069069/1437408. What is the common denominator of p and 97/8?
160
Suppose 0 = 8*w - 12*w. What is the smallest common multiple of (0 + w + -5)*1976/(-190) and 8?
104
Let o(x) = -6*x**3 - x**2 - 6*x - 5. Let i be o(-3). Calculate the common denominator of i/(-72) - 5/4 and 41/24.
72
Let v = 43/144 - 1/144. Let o = -1577 + 25241/16. Calculate the common denominator of v and o.
48
Let w = 7213 - 72241/10. Let z = 1/2488 - -49135/7464. Calculate the common denominator of w and z.
60
Let y = 863781/176 - 4908. Let c = y + 859/176. Calculate the common denominator of 51/2 and c.
22
Find the common denominator of (-3)/(-36)*(-2544)/(-80) and 9/16.
80
Suppose -31 + 3 = -5*y - 3*u, -u - 36 = -4*y. Suppose 16 = y*o - 8. What is the smallest common multiple of o and 76?
228
Let q = 2666 + -26743/10. Let v be 1/(-2)*(-23 + 3). What is the common denominator of 4/v - 188/120 and q?
30
Let j = -40402307/254 + 159064. Calculate the common denominator of j and 27/4.
508
Let r(h) be the first derivative of 2*h**3/3 + 3*h**2 + 7*h - 3. What is the smallest common multiple of r(-5) and 27?
27
Let n be 1/3 - (-38)/3. Suppose t - 4*u = -n, 0*u - 2*u + 31 = 3*t. Let h(w) = 85*w**2 - 509*w - 5. What is the smallest common multiple of t and h(6)?
7
Let q = -1127653/30 + 37583. Find the common denominator of q and -10/99.
990
Suppose -o + 2 = 0, -11 = -3*h - 0*h + 2*o. Calculate the least common multiple of 8 + 3*h/5 and 12.
132
Let c be -4 + 7 - 7*-2. Suppose -4*i - n + 21 = 4*n, -c = -4*i - n. What is the smallest common multiple of 31 and i?
124
What is the common denominator of -71/110 and (7 + 537/(-90))/(2/9)?
220
Let h(x) = x**3 + 16*x**2 + 2. Let y be h(-16). Suppose f + 0*z - 6 = z, y*f - 28 = -2*z. What is the smallest common multiple of 6 and f?
30
Let n be ((-4)/(-16))/((-3)/(-12)). What is the common denominator of 18/8 + -2 + n and (-3)/27*-52*1?
36
Suppose 4*m + 4*d = d - 1674, -2*m - 2*d - 836 = 0. What is the common denominator of 25/11 and 4/14 - (-5475)/m?
44
Let q = -25189 + 4634737/184. Calculate the common denominator of -87/32 and q.
736
Let k(v) = -2*v**3 - 3*v**2 - 2*v - 9. Let p(u) = -u**2 + 7*u - 3. Let d be p(7). Calculate the smallest common multiple of k(d) and 18.
72
Let u = -8 - 6. Let g = u + 14. Suppose g = -j + 2 - 1. What is the smallest common multiple of j and 9?
9
Let j be (-1)/3 - 5/3. Let c = -6132/11 + 559. Find the common denominator of (-97)/10 - j/(-4) and c.
55
Suppose 2*a = -70 - 0. Let b be 34214/(-42) - 10/a. Let f = b + 14621/18. What is the common denominator of 51/16 and f?
144
Let o = 615 - 605. Let k(n) = n**2 - 5*n + 1. Let i be k(4). Let y = -2 - i. What is the least common multiple of y and o?
10
Let n(y) = 4*y**2 + 1. Let h be n(-1). Let k(t) = t**3 - 6*t**2 + 6*t + 3. What is the lowest common multiple of (96/(-28))/3*(-7)/2 and k(h)?
8
Let d(x) = -x**3 - 6*x**2 + 8*x + 8. Suppose -z = -2 - 3. Suppose -z*r - 15 = 20. What is the lowest common multiple of 11 and d(r)?
11
Let l = 1374451/60 + -22907. Calculate the common denominator of l and -103/168.
840
Let n = -90988 - -8734753/96. What is the common denominator of n and -1/152?
1824
Let c = -4 + 7. Calculate the smallest common multiple of c and 14/63 + 187/9.
21
Let h(y) = y**3 + 14*y**2 + 15. Let f be h(-14). Let r(x) = 2*x - 2. What is the smallest common multiple of ((-1)/(f/(-50)))/((-2)/(-6)) and r(2)?
10
Let w = -439 - -527. What is the smallest common multiple of 121 and w?
968
Let q be (-2 + 53)*(-2)/6. Let w = 19 + q. Find the common denominator of 59/6 and 61/(-8) - 0/w.
24
Let w(h) = h**2 + 3*h - 6. Let c be w(-5). Suppose -2*j = -7*u + 3*u + c, -u + 3*j = -6. What is the lowest common multiple of 12 and 46/1 - (u - -2)?
132
What is the least common multiple of 18 and (-3 - -11)/((-16)/(-984)*1)?
1476
Let h = -6615/2 - -3281. Find the common denominator of 18/(-80)*232/(-6) and h.
10
Let i be 224/20 + (-6)/9. Let u = -1429/120 + i. Find the common denominator of 43/30 and u.
120
Let v(a) = -a**2 - 12*a + 9. Suppose 2*s - 8*s = 54. What is the lowest common multiple of v(s) and 10?
180
Let s(k) = -4*k - 4. Let r be s(-3). Suppose -q - 2*w + 4 = -0*w, 0 = 2*w - r. Calculate the common denominator of 77/20 and ((-6)/(-48))/(q/(-14)).
80
Suppose -6 = -v + 14. Calculate the least common multiple of (-504)/(-10) + 6/v*2 and 3.
51
Let n(u) = 3*u**3 - 2*u**2 - 2*u + 3. Let o be n(1). What is the lowest common multiple of (-1 - 15/(-6)) + 17/o and 6?
30
Let v = -14/491 + 60251/29460. Find the common denominator of 23/22 and v.
660
Let n = 380 - 44. What is the smallest common multiple of n and 36?
1008
Suppose b + 5 = d, -b + 5*b + 14 = 3*d. Let h = 31 - 17. Let o = h - d. What is the lowest common multiple of 10 and o?
40
What is the least common multiple of (15965/(-124))/((-3)/12) and 4?
2060
Suppose 2*l - 47 = 25. Suppose 0*q + 52 = 5*q - 4*k, -10 = -q + k. Calculate the smallest common multiple of q and l.
36
Let p(y) = 8*y**3 + 2*y**2 - 7*y - 11. Let z be p(-9). Let c = -78725/14 - z. Let s = -17599/822 - 58/137. Calculate the common denominator of c and s.
42
Let o(t) = t**3 + 11*t**2 - 12. What is the smallest common multiple of 4 and o(-10)?
88
Let p(g) be the third derivative of -g**4/24 - g**3/3 - g**2. Let m be p(-2). Find the common denominator of 1/4 and ((-37)/4 - m) + 0.
4
Suppose -143*k = -5*f - 144*k + 135, -3*f + 88 = 2*k. Calculate the lowest common multiple of f and 598.
598
Calculate the common denominator of (-6161)/606*(-3)/5 and -62/45.
90
Let g = -69604/285 + 148/95. Let v = g + 3736/15. Calculate the common denominator of 11/6 and v.
30
Let o(a) = -2*a**3 + 20*a**2 + 8*a - 10. Calculate the smallest common multiple of 8 and o(9).
224
Let g(h) = -8*h**2 - h - 2. Suppose 16 = 15*u - 11*u. What is the common denominator of u + 0 - (-165)/(-21) and g(-2)?
7
Let u = 6883929725/289374 + -92/8511. Let x be 7 + -23800 - (-1 - 0). Let n = u + x. Find the common denominator of n and -19/22.
374
Let d be (0 + (1 - -1))*2. Let w = 218/3 + -135/2. Calculate the common denominator of w and (4/24)/(d/198).
12
Let b = -9206 + 579937/63. Calculate the common denominator of b and 83/54.
378
Calculate the common denominator of -23/214 and 405/(-2)*(-7 + (-528)/(-75)).
1070
Let f be 31 + -2*1/(-2). Let y be 13 - (-2 - (3 + -2)). What is the smallest common multiple of (8/y)/(2/f) and 2?
8
Suppose 0*k - k = -4. Suppose 684 = -4*x + 4*p, 3*x - 4*p = p - 515. Let u = x + 179. Calculate the least common multiple of u and k.
36
Calculate the common denominator of (-8)/(-384)*4*8/68 and -143/102.
102
Suppose 0*v + 4*v - 28 = 0. Let n = 36 - 31. Calculate the smallest common multiple of n and v.
35
Find the common denominator of 17/606 and (-12)/30*(-2745)/36.
606
Let v be (1 - 1) + (-1860630)/108. Let o(z) = -351*z**2 + z - 17. Let s be o(-7). Let h = v - s. Calculate the common denominator of 115/18 and h.
18
Let w(p) = -3*p**2 + 19*p - 3. Let b be w(6). Let z(y) = -3*y + 11. What is the least common multiple of 11 and z(b)?
22
Suppose 4*j - 4*v + 16 = 4, 2*j - 9 = 5*v. Let q be (2 - -2)/(6 + j). Calculate the common denominator of 5 + q - 37/20 and 23/16.
80
Suppose 0 = 3*m - u - 16 - 68, -3*u + 56 = 2*m. What is the lowest common multiple of m and (17/8 - 2) + 26*(-33)/(-48)?
252
Suppose 4*r + 10*r = 0. Suppose 3*q + 5*h - 296 = q, 2*h = r. What is the least common multiple of q and 22?
1628
Let k = -17 + 12. Let a(p) = -p + 5. Let g be a(16). Calculate the least common multiple of 3 and (-6 - k)*(g - 0).
33
Let b = -18292 + 5098. Let v = b - -329912/25. Find the common denominator of 53/55 and v.
275
Suppose -1071 = -27*w + 10*w. Calculate the least common multiple of 3 and w.
63
Let g = 1089/5 + -180849/830. What is the common denominator of g and 97/8?
664
What is the least common multiple of (10/25)/((-3)/(-315)) and 66?
462
Suppose -2 = 3*v - 2*k, 2*k = -2*k + 4. Let t be 1*(2 - v)/(-2). Let w(p) = -17*p + 1. What is the smallest common multiple of 4 and w(t)?
36
