009/10 - c. What is the common denominator of 25/12 and o?
60
Let d(q) = 8*q - 52. Suppose 0 = -p - a + 4, -4*a + 1 = 17. Calculate the lowest common multiple of d(p) and 178.
1068
Let z be (-10)/4 + (-39)/(-78) - 5734. Let y = z + 395774/69. Calculate the common denominator of 40/9 and y.
207
Let u = -921 + 8350/9. Calculate the common denominator of 5 + 1 + 8/(-8) + -51 and u.
9
Let v be (-2 - 0) + (-6 - -9). Suppose 3*y + 2*z = 5*y + 2, 3*z - v = 5*y. What is the least common multiple of 11 and y?
11
Suppose -4*u + 31 = 15. Let l = -46 + 41. Calculate the common denominator of (u - 190/15) + l and -99/8.
24
Calculate the lowest common multiple of ((-5170)/(-376))/(1/(-4) - 3/(-6)) and 2090.
2090
Let v be (-8)/(-60) + (-125768461189)/(-14650845). Let d = 250/266379 - v. Let z = -8586 - d. Find the common denominator of z and -47/18.
198
Let v = 5507 - 5147. Calculate the smallest common multiple of 80 and v.
720
Let c = 6086/65 + -1216/13. What is the common denominator of c and -31/45?
585
Let o(m) = -1296*m + 9114. What is the least common multiple of 700 and o(7)?
2100
Let j(k) = -k**3 - 22*k**2 + 22*k + 25. Let x = -877 - -854. Calculate the lowest common multiple of j(x) and 228.
912
Let f = -10889/3 - -3646. What is the common denominator of f and 97/186?
186
Let j = 1114768 + -408005735/366. Let f = j + -4/61. Find the common denominator of f and (-182)/(-20) - 4/8.
30
Calculate the common denominator of 47/170 and ((-54)/(-336))/(51/4).
1190
Let d be 1977*(6/3 + -1). Let s = d + -11903/6. Calculate the common denominator of s and -62/3.
6
Suppose 0 = -26*c + 634 - 62. Suppose 2*t = -2*p + 206, 0 = -0*t + 4*t. Suppose 31 = -4*u + p. What is the smallest common multiple of u and c?
198
Let u(z) = -167*z - 7962. Suppose i = 3*o - 30, 0*o - 2*i + 10 = o. Calculate the lowest common multiple of u(-48) and o.
270
Let k = 12454 + -435832/35. Find the common denominator of -73/1070 and k.
7490
Suppose -4*c - 3*m + 133 = 19, -5*c - 2*m = -132. Calculate the least common multiple of c and 144.
144
Let f(d) = d**2 - 7*d + 243. Calculate the lowest common multiple of 33 and f(21).
5907
Suppose 0 = -85*u + 24651 + 25074. Calculate the smallest common multiple of 25 and u.
2925
Let b be (-67651153)/(-16819560) + (0 - 3/1). Let i = b - -1/19672. What is the common denominator of i and 143/90?
90
Let w(z) = 10*z + 104. Let c be w(-10). Calculate the lowest common multiple of 62 and 4 + -3 + 1/(-1) + c.
124
Suppose 2*r + 70 = 4*r. Let x = -143/4 + r. Let p = 28549/8 + -3564. What is the common denominator of p and x?
8
Let j(x) = x**2 + 21*x + 140. Calculate the smallest common multiple of 410 and j(-10).
1230
Let m(c) = -c. Let b(p) = -p**3 + 3*p**2 + 5*p + 6. Let z(u) = -b(u) - 6*m(u). Let t be z(3). What is the common denominator of 791/70 - (t - -5) and 74/9?
90
Let u = 262/17 - 869/170. Calculate the common denominator of u and -167/720.
720
Let n be 10/(-1) + 31 + 69. Let k = n - -84. Suppose -3*u - 4*y = -52, u = 5*y - 1 + 12. What is the least common multiple of k and u?
1392
Let l = 541 - 268. Let c = 281 - l. Suppose 0 = 5*n - 61 + 1. Calculate the least common multiple of c and n.
24
Let o = -4228 + 5130. Calculate the lowest common multiple of 16 and o.
7216
Calculate the common denominator of (-7 - (-110)/(-30))*1*(-30)/88 and -139/180.
1980
Let n(d) be the third derivative of 8*d**4/3 - 11*d**3/3 + 26*d**2. Let c be n(4). Suppose 7*m + c = 20*m. What is the lowest common multiple of m and 18?
18
Let c(n) = -26*n + 1100. Calculate the lowest common multiple of 20 and c(33).
2420
Let q(g) = -g - 2. Suppose 2*l + 8 = -0*l. Let d = 123/515 + -4/103. Find the common denominator of q(l) and d.
5
Let w(t) = -3*t + 21. Let i be w(15). Let l = -6798 + 224368/33. Find the common denominator of l and (2/i)/((-33)/638).
198
Suppose 13*t - 37 = -11. Calculate the common denominator of -5/9 and 223/12 + t + 78/(-24).
9
What is the common denominator of -28/185 and -1 + (-3)/9 + (-1449)/(-1380)?
2220
Let j(w) be the third derivative of w**5/20 + w**4/3 - 3*w**3 + 105*w**2. What is the smallest common multiple of 28 and j(2)?
140
Let r = -820 - -823. What is the least common multiple of r and (4/(-5))/((-2)/25)?
30
Let l be 3 + ((-171)/60)/((-4)/1). Let p = 221/144 - l. Let g = -32/5 - p. Calculate the common denominator of -37/24 and g.
72
Let h = 13535/14 + -972. Find the common denominator of h and -27/14.
14
Let o = -1917/44 - -165/4. Let s be 8/(-4) + 6 - (18 - 0). What is the common denominator of o and -5*-19*(-1)/s?
154
Suppose -128 = -14*d - 16. Suppose -41 - 55 = -d*q. Calculate the lowest common multiple of q and 6.
12
Suppose -190*j - 44 = -192*j. Let h(i) = i**2 + 8*i - 4. Let s be h(-9). Suppose -s + 13 = 2*m. What is the least common multiple of j and m?
44
Suppose 20*f - 8074 = -1514. What is the least common multiple of 4 and f?
328
Let j = -6326 - -126477/20. Let s be (-4)/10 + 9520104/(-640). Let v = s + 14881. Calculate the common denominator of j and v.
80
Suppose 0 = 5*v + 3*x - 30 - 22, -2*v - 4*x + 18 = 0. Let q = 663 + -642. What is the least common multiple of q and v?
231
Let w = 182185 - 24048287/132. Calculate the common denominator of w and 65/264.
264
Let v be 11 + -3 - 6 - 469/15. Let a = 78/5 + v. Find the common denominator of -31/15 and a.
15
Let j(g) = 2*g**3 - 19*g**2 + 12*g - 21. Calculate the least common multiple of 118 and j(9).
354
Suppose 4 = 2*v - 8. Suppose -w = -y, -3*y - 2*w = -4*w + 1. Calculate the smallest common multiple of v and (-17 + 12)/(y/3).
30
Let k(n) = 10*n**2 + 11*n - 7. Suppose 0 = -3*w + 27 + 18. Calculate the lowest common multiple of k(-3) and w.
150
Let q(u) = 7*u**2 + 6*u + 1 + 15 - 8*u**2. Let h be q(7). Suppose 50 = h*l - 49. What is the least common multiple of l and 9?
99
Calculate the common denominator of 25/112 and 30/(-360)*(-255)/80.
448
What is the lowest common multiple of 1028 and (10/(-15) + 2)*9*(-16)/(-24)?
2056
Suppose -14*t + 1482 = -27*t. Calculate the common denominator of -59/4 and 9/6 + (t/(-8) - 3).
4
Let p be 22/(-176) + 2729319/(-8). Let g = 3761851/11 + p. Let r = g - 819. What is the common denominator of 35/11 and r?
11
Suppose 0 = -3*g - 4*z + 3*z + 489, -3 = z. Let o(i) = 3*i**3 + 178*i**2 + 56*i - 167. What is the smallest common multiple of g and o(-59)?
820
Calculate the common denominator of (-6)/(-7) + (-12656)/8624 and -91/352.
2464
Suppose 50*x + 222 - 772 = 0. Let i(h) = 30*h - 3. What is the smallest common multiple of i(1) and x?
297
Let h(m) = -m**3 + 7*m**2 - 6*m - 28. Let x be h(4). Calculate the smallest common multiple of 21 and 119 + x + (0 + 2 - 0).
819
What is the common denominator of 45/7148 and ((-105)/198)/((-4)/(-12))?
78628
Suppose -2*b + p + 161 = -0*b, 3*b - 4*p - 249 = 0. Let v(l) = 2699*l - 21587. Calculate the least common multiple of v(8) and b.
395
Let g = -68833/20 + 3441. Let o = -742017/40 + 18553. What is the common denominator of o and g?
40
Let d = 26407/660 + -2261/55. Calculate the common denominator of d and 28/3.
132
Calculate the common denominator of (791/(-756) - -1)/((-15)/194) and (-2)/(-48)*(-26)/3.
324
Suppose -71*r + 67*r = -1404. Calculate the smallest common multiple of r and 30.
3510
Let f be (-1)/3 + (-56)/(-6). Suppose -3*j - 2*t = 3, 4*t + f = -3*j - 0*t. Let w(c) = 12*c**3 - 2*c + 1. Calculate the smallest common multiple of j and w(1).
11
Let j = 5203 + -98902/19. Let r = 431/9 + -40. Calculate the common denominator of r and j.
171
Suppose -4*s = -136*w + 133*w - 5176, -s - 4*w = -1256. Calculate the least common multiple of s and 273.
50232
What is the common denominator of ((-14)/(-5))/(-60 - -57)*(-8)/35 and 29/165?
825
Suppose 4*s - 13 = -b + 3*s, 0 = 2*s - 2. Find the common denominator of -49/22 and (1/b)/(4/(-1164)).
44
Let v = -17125301467/5640 - -3036401. Calculate the common denominator of -25/188 and v.
5640
Let u(h) = -32*h + 96. Let g be u(3). Suppose g = -39*b + 1215 + 189. What is the smallest common multiple of b and 63?
252
Let g = 283 - 442. Let w = g - -164. What is the lowest common multiple of 55 and w?
55
Let p(q) = q**3 + 13*q**2 + 20*q - 22. Let z be p(-11). Suppose -2*k - d + 76 = z, d + 92 = 3*k - 3*d. Calculate the lowest common multiple of 44 and k.
396
Let h(c) = c**2