m/234 and 16?
176
Let n = 54 + -46. Suppose n*w + 177 = 5*w. Let i = w - -65. Calculate the lowest common multiple of 21 and i.
42
Let o(g) be the first derivative of g**4/4 - 7*g**3/3 + 13*g**2/2 + 8*g + 25. What is the smallest common multiple of 10 and o(6)?
50
Let r(z) = z**3 - 7*z**2 - 7*z + 28. Let i be r(8). Suppose 0 = -v + i - 32. Calculate the lowest common multiple of 32 and v.
32
Let r(b) = 3*b**2 + 12*b. Suppose 4*c + 11 = -5*h - 3, 5*h - 46 = 6*c. What is the lowest common multiple of r(c) and 40?
360
Let j be 1/(-4)*-2 + (-135)/(-18). Suppose -8*n = j*n - 1952. What is the least common multiple of 8 and n?
488
Let p = -185/71 - -11095/852. Let v be 1263*4/24*3. Let w = -654 + v. What is the common denominator of p and w?
12
Let a = -191/752 + -2915/164688. Find the common denominator of 77/876 and a.
876
Let m = 1670411/400806318 - -3/129209. Calculate the common denominator of m and -49/3102.
3102
Let j = 29287405/162 + -180787. Calculate the common denominator of -71/270 and j.
810
Let j = 100 - 44. Let i = j - 50. What is the common denominator of -179/30 and ((-8)/(-320))/(i/235)?
240
Let j be (-25066)/(-888) + (-8)/(-24). Let q = j - 9/148. Find the common denominator of q and (-301)/30 - (-3)/9.
10
Let q(d) = -21*d + 26. Let k(x) = 4*x + 18. Let r(l) = l**2 - 9*l + 12. Let b be r(3). Let w be k(b). What is the smallest common multiple of 8 and q(w)?
152
Let g be (-19 - -15)*3/12. Suppose -2*y = -k - 51, 4*k = -3*y + y + 46. Calculate the smallest common multiple of 24 and (-5*(-10)/y)/(g/(-15)).
120
Suppose 2*p - 2*v - 1149 = -3*v, -3*v = -3*p + 1701. Suppose p = 16*k - 3*k. What is the smallest common multiple of 40 and k?
440
Let i(v) = v**2 + 28*v + 20. Let u(a) = -2*a**2 - 53*a - 40. Let h(b) = 5*i(b) + 3*u(b). Calculate the smallest common multiple of h(-15) and 22.
440
What is the lowest common multiple of 2400 and ((-20)/(-15))/(-1) - 23/6*-196?
12000
Let x = -131 - -141. Let i = -16 - -26. What is the smallest common multiple of x/25 + (-92)/(-20) and i?
10
Let j = -3651 - -22055/6. Find the common denominator of j and 99/422.
1266
Suppose 7305 - 1494 = 233*i + 219. Calculate the lowest common multiple of 9213 and i.
73704
Let x be (15/2)/(14/(-84)). Find the common denominator of 98/x - (-340)/204 and 54/35.
315
Let m(a) = -2*a**3 - 25*a**2 - 51*a - 1. Let g be m(-10). Let x(z) = z + 10. Calculate the lowest common multiple of x(g) and 4.
76
What is the lowest common multiple of (23 - (-770)/(-66))/((-4)/(-282)) - 7 and 2304?
25344
Let w = -7107541/69615480 - 1/91720. Calculate the common denominator of -115/24 and w.
6072
Let m(j) = 10*j**2 - 2 - 1 - 3*j + 4*j**2 - 17*j**2. Let d be m(-2). What is the common denominator of -65/6 and (-822)/612 - (-1)/d*3?
102
Let p(t) = -t**3 + 33*t**2 + 22*t + 8. Let o be p(11). Suppose -z - o = -6*z - h, 4*z - 2330 = -h. Calculate the smallest common multiple of z and 4.
1164
Let v(h) = h**3 - 5*h**2 + 5*h - 22. Let j be v(5). Suppose -5*u - 214 = -5*a - j*u, 40 = a + u. What is the lowest common multiple of 20 and a?
420
Suppose 4*x = 3*m - 0*x - 310, 16*x = -3*m + 410. What is the least common multiple of 451 and m?
4510
Let b = 1188/25 + -24509/450. Let l = -58145/39 + -53151/26. Let o = l + 3549. Find the common denominator of o and b.
18
Let q(c) = -22*c + 27. Let a be q(5). Let z = -107 - a. Calculate the common denominator of (-9)/(-33)*(-4)/z*-7 and -91/20.
220
Let n(r) = -2*r**3 + 57*r**2 + 100*r - 252. Calculate the smallest common multiple of 526 and n(30).
12624
Let d = 425 + -2399/6. Let b = -7730962/21 + 12709614539/34524. Let j = b + 13/274. Find the common denominator of d and j.
36
Let p(i) = 208*i + 198*i - 403*i + 32. Calculate the smallest common multiple of p(-9) and 45.
45
Let g = -307 - -453. Suppose 0 = 36*z - 131 - 265. Calculate the smallest common multiple of g and z.
1606
Let t(g) be the second derivative of -g**5/20 - g**4/6 + g**3/6 + g**2/2 + g. What is the smallest common multiple of t(-3) and (-37)/888 + (-1565)/(-120)?
91
Let g = 590863744/5 + -10953431962067/92690. Let u = 82/403 + g. Calculate the common denominator of -21/8 and u.
184
Let f = 337887/1319920 + -52/2357. Find the common denominator of f and 137/42.
1680
Let y(g) = 469*g + 15 + 43 - 471*g. What is the lowest common multiple of 27 and y(-16)?
270
Suppose -g = 29 + 2. What is the common denominator of -1 - g/46 - -2 and 3*(8 + 22/4)?
46
Let o(x) = -4*x + 3*x**2 + 3*x - 2*x + x**3 - 1. Suppose 0 = 130*u + 182 - 1461 + 109. Calculate the smallest common multiple of o(-3) and u.
72
Let d be 7 + ((-1)/(-3))/((-8)/48). Suppose 0 = 2*j - d*y - 18 - 6, 0 = 3*j + y - 36. What is the least common multiple of j and 6?
12
Suppose 3*z - 2 = -2*d + d, d - z = -10. Let q = d + 11. Suppose 2*v + 363 = 2*a + 379, 0 = a + 2. What is the least common multiple of v and q?
12
Suppose 0 = -2*z - 5*t + 18 - 3, 0 = -z + 5*t - 30. Let a(j) = -j**3 - 3*j**2 + 5*j - 19. What is the smallest common multiple of a(z) and 4?
12
Suppose 20 = -5*d + v, 6*v = -5*d + 2*v - 45. Let m(a) = -18*a - 78. What is the least common multiple of m(d) and 1/(-4) + (-65)/(-4)?
48
Suppose -4*n - i + 251 = 0, n = -2*i + 39 + 22. Calculate the lowest common multiple of 27 and n.
189
Let s = -716 - -706. What is the common denominator of s/(-65) + 4395/(-3640) and -151/18?
504
Suppose -240 = -4*i - 0*v - v, -5*i + 300 = -2*v. What is the lowest common multiple of i and (-4563)/(-264) + 1758/(-4688) - 24/(-22)?
180
Let y(k) = 15*k**2 + 1. Let c be y(1). Let p = c - 14. Suppose 0 = 2*j + 3*f - 37, 7*f - 9*f + 54 = 4*j. Calculate the lowest common multiple of p and j.
22
Suppose 4*x + 307 = 3*n - 481, 0 = -x - 4*n - 178. Let l = x - -196. Calculate the smallest common multiple of l and 2.
2
What is the common denominator of -1*3 + ((-112455)/(-798))/85 and -77/122?
2318
Let j(l) = -l**3 + 6*l**2 + 8*l + 4. Let b be j(7). Let p be (-72)/(-192) - 21/(-8). Suppose -c = -b + p. Calculate the smallest common multiple of 8 and c.
8
Suppose 0 = -5*m + 4*y + 1172 + 262, -4*y + 624 = 2*m. What is the least common multiple of 980 and m?
2940
Suppose -71*h + 288 = -138. Find the common denominator of h/((-720)/275) + 4 and 113/24.
24
Suppose -12 = -3*i - j, 705*i + 3*j = 707*i - 30. What is the lowest common multiple of 789 and i?
1578
Calculate the common denominator of ((-400)/36 + 15)/(4/(-3)) and 2/24*435/(-9).
36
Let y be (629/16)/((-32389)/(-4634)). Let w = 181813/87913 - 275/133. Let o = w + y. What is the common denominator of 51/2 and o?
8
What is the common denominator of 8/(-84) + 58*18/(-210) and 51/8?
120
Let n be (2 + -2)/(-1) - -3. What is the common denominator of (-5)/(-150) + -1 + 0 + -2 and n/4*(-412)/54?
90
Let n be -2*8/16*139. Let c = n - -142. What is the smallest common multiple of 195 and c?
195
Suppose 34*y + 7*y + 26*y = 121136. What is the lowest common multiple of y and 678?
5424
Suppose -9*a = -14522 + 77027. Let q = -277783/40 - a. Calculate the common denominator of q and -73/36.
360
Let t = 70 + -1096. Find the common denominator of -39/7 and t/(-1134) - (-8)/(-1 + -1).
21
Let k = 1433/470 - 7/47. Calculate the common denominator of k and -39/1096.
5480
Let i = -6654085/2098628 - -990/311. Calculate the common denominator of i and -103/70.
33740
Suppose -2*j + 474 = 4*v, -24*j + 1152 = -19*j - v. Find the common denominator of 175/(-176) + 0 - (-42)/j and 23/500.
2000
Find the common denominator of (-5)/(664800/21128) + (4 - 69/18) and -1/16.
22160
Suppose -7*g + 9 = -6*g. Suppose 2*s = 4*o + 26, 0 = -s + 3*o - 12 + 27. Calculate the least common multiple of s and g.
9
Suppose z = l + 2*z - 45, z = -4. Suppose v + l = 3*o + 6*v, -5*v = -4*o + 77. Let x = 1482 + -1458. What is the lowest common multiple of o and x?
72
Let u = 8745 - 8675. What is the lowest common multiple of 1/(-2) - 339/(-6) and u?
280
Let q = 82 - 70. Suppose -4*u - q = -2*k, -2*k - 3*u + 6*u + 17 = 0. Suppose 3*o + 24 = 3*j, 4*j + 3*o - k = -j. What is the lowest common multiple of j and 36?
180
Suppose -3*h - 1 = 2*b, -2*h - h + 2*b - 17 = 0. Let i be (-81)/2*(h + (-21)/9). Calculate the common denominator of ((-31)/7)/(i/(-84)) and -38/9.
18
Suppose -37 = -3*p + 32. Let m be p/7 + (-44)/154. Suppose 5*w + 3*a - 6 - 41 = 0, w = a + m.