- 9058 = -724*c + 728*c. What is the smallest common multiple of 196 and b?
25284
Suppose 0 = 5*x - 2*u + 14268, -5*x - 2*u = 10067 + 4205. Let k = x + 11511/4. Let o = 2413/100 + -19/50. What is the common denominator of k and o?
4
Let p = 2644 - 2612. Let i = 4 - 0. Suppose 0 = i*w, 5*a - 14 = 4*w + 6. Calculate the lowest common multiple of p and a.
32
Let k = 591 + -1152. Find the common denominator of 17/54 and 3*(k/(-216) - (3 + -1)).
216
Let g be ((-234)/(-130))/((-1)/(-10)*6). Suppose 0 = -4*j - 3*i + 220, -g*j + 156 = -5*i - 9. What is the lowest common multiple of j and 8?
440
Suppose 3*l - 42 = 30. Let u = l + 8. Let t = -14 + u. What is the lowest common multiple of t and 24?
72
Let w = -2302 - -2383. Calculate the smallest common multiple of 54 and w.
162
Let y = 35 + -35. Let c = -8 + y. Calculate the common denominator of -35/9 and (-21)/30*10/c.
72
Suppose 4*c = -q + 613, 0*c - 3065 = -5*q + 5*c. Let o be 20/(-6)*(-2764)/15. Let s = q - o. Find the common denominator of -2/33 and s.
99
Suppose -6*f + 5*f = 5*f - 360. Calculate the smallest common multiple of 159 and f.
3180
Suppose -2*f + 10592 + 4498 = 0. Calculate the common denominator of 67/44 and f/(-2100) - 2/(-10).
308
Let j = 80/911 + -63534/370777. What is the common denominator of 34/5 and j?
2035
Suppose 0 = 2*i - 1 - 3, -t - 3*i = -13. Let q(j) = -4*j**2 + 22*j + 10. Let n be q(-4). Let w = n + 145. What is the smallest common multiple of t and w?
21
Let d = 26960 - 17068. What is the least common multiple of d and 8?
19784
Suppose b = 2*l - 674, -1688 = -5*l - 33*b + 34*b. What is the lowest common multiple of l and 4?
676
Let g = 217/36 + -88/9. Let b = g - -115/36. Calculate the common denominator of b and -2/13.
117
Let r = -18557 - -4857. Calculate the common denominator of r/240*(42/(-40) + 1) and 31/42.
336
Let v be ((-8970)/(-40) + 3)/((-10)/(-4)). Let y = -173/2 + v. Calculate the common denominator of y and 41/64.
320
Let i be (2/3 - 14/21)/(-3). Let k be i + (-10)/(-5) + 22. Suppose k = -x + 50. Calculate the smallest common multiple of 9 and x.
234
Suppose 9*p + 593 - 512 = 0. Suppose -t + v + 4 = 0, -4*t - 4*v = -v - 2. Calculate the common denominator of (t + p/4)*-59 and 51/38.
76
Let r(j) = 79*j - 5. Let m be r(2). Suppose 11*s - m + 21 = 0. What is the common denominator of (-6)/(-80)*4*22/s and 75/68?
340
Find the common denominator of 79/260 and (-604)/(-176) + (-1)/4.
2860
Let u = 110/7 + -72439/4620. What is the common denominator of u and 29/55?
660
Suppose 1615*g = 1609*g + 144. Let d = 52 + -40. Calculate the least common multiple of d and g.
24
Let d = -1669 - -9925/6. Let g = -139/108 - -35/54. Find the common denominator of d and g.
36
Let r be 1354 + 8 + -5 + -3. Let j = r - 5345/4. Calculate the common denominator of j and 49/262.
524
Let a(f) = f**2 + 8*f - 5. Suppose 21 = -w - 110. Let k = w - -133. Calculate the smallest common multiple of k and a(-9).
4
Suppose 1808 = -14*v + 1990. Suppose u - 5*h + 13 = 0, -4*u = -u + 5*h - 21. Suppose -u*k + 27 = -v. Calculate the smallest common multiple of 12 and k.
60
Calculate the common denominator of -674*16/27410 + (7 - (-99)/(-15)) and -38.
2741
Find the common denominator of ((-44)/(-185856))/((5/20)/((-189)/16)) and 75/4928.
39424
Suppose -101 = -4*f - 5*b, -51 = -4*f + b + 44. Suppose 5*d = -3*a + f + 73, -2*d - 5*a = -35. What is the lowest common multiple of 40 and d?
40
Let j be 4/(-3) + (-14)/21. Let f(q) = 43*q + 163. Calculate the lowest common multiple of j - ((-6)/2 + -17) and f(-3).
306
Let u = -9973/654 + 9/109. Calculate the common denominator of 77/1730 and u.
5190
Suppose -d - 8*w = -3*w - 11, w = 2. What is the smallest common multiple of d and ((-2)/6)/(1/(-15))?
5
Let y(b) = -8*b - 302. Let u be y(-38). Suppose 5*h - 17 = -u*a, 10 = h - 3*a - 7. What is the smallest common multiple of h and 15?
15
Calculate the common denominator of (183/2562)/((-54)/(-284)) and 68/27.
189
Let c = -3488 - -3916. What is the lowest common multiple of 749 and c?
2996
Let x = 10013 + -10004. Calculate the lowest common multiple of x and 2100.
6300
Let f = 290 + -543. Let m = f - -267. Calculate the least common multiple of 16 and m.
112
Suppose 5*k = -3*n - 1725 + 1773, -k + 32 = 2*n. Calculate the lowest common multiple of 204 and n.
816
Suppose 0 = -m - 8 + 4. Calculate the common denominator of (-20)/36 + 12 - 6 and (-53)/10 + (-7 - m).
90
Calculate the common denominator of ((-2)/(-4))/(814/33 - -6) and 21/92.
184
What is the common denominator of (-24948)/58996 - 2/43 and 39/133?
931
Let h = -117 - -125. Suppose 301 = 60*g - 179. Calculate the smallest common multiple of h and g.
8
Suppose 3*x - 9 = 0, 5*t + 199 = 3*x - 0. Find the common denominator of t and -80/1173.
1173
Let b = -25761366/13819 + 24234/13. Find the common denominator of b and -103/6.
6378
Let w = 182999/237420 + -130/1319. Let h = -1/4730 + -52501/9460. Find the common denominator of h and w.
180
Let b = 8988/13 - 44498/65. What is the common denominator of -123/1520 and b?
1520
Let x = -104201/117150 + -5/9372. Let g = -7714 - -138959/18. Find the common denominator of g and x.
900
Suppose 4*l - 48 = 4*a, l + l = a + 24. Let d(t) = -18*t**2 + 9*t + 2. Let c be d(3). Let u = c + 157. Calculate the smallest common multiple of l and u.
24
Let r(z) be the third derivative of z**5/60 - 3*z**4/8 + 3*z**3/2 + 30*z**2. Let s be r(2). Calculate the least common multiple of 30 and 3/(-15)*1 - 106/s.
210
Suppose 4*i + 10*y - 12*y = 18, -3*i = -3*y - 3. Calculate the lowest common multiple of i and 464.
464
Let i(f) = -25*f + 45*f + 24 - 22*f. What is the smallest common multiple of i(-5) and ((-1)/(-3))/(1/42)?
238
Let m = 27/61 - -835/732. Let u be 4/14 + (-106)/385. Let y = u - -26549/1540. Calculate the common denominator of m and y.
12
Calculate the common denominator of 143/1548 and ((-2)/(-5))/(331/1435 + 12/(-84)).
1548
Suppose 4*w = 6*h - h + 24, h + 4 = w. Let o(i) = -i**3 - 8*i**2 - 9*i - 12. Let k be o(h). Let r = 64 - k. What is the least common multiple of r and 21?
84
Suppose -o + 0 + 1 = -2*m, 3*m - 11 = -o. Let d = 9 - o. Suppose -9*v = -d*v - 10. What is the least common multiple of v and 7?
14
Calculate the common denominator of -7/22 and 144/756*21/(-6) - (-223)/654.
2398
Let t = -1903559/2199548 + 2/42299. Calculate the common denominator of (114/3)/(((-420)/(-49))/(-5)) and t.
156
Let b be 2/((-41930)/5243 + 8). Let x = b - 745. What is the lowest common multiple of x and 1?
4
Suppose 8*b = 31*b - 2921. Let k = 177 - b. Calculate the smallest common multiple of 55 and k.
550
Let h(g) = 148*g - 1146. Calculate the least common multiple of 18 and h(12).
630
Let i = 1260 - 13855/11. Let l(k) = 2*k**2 - 4*k - 12. Let c be l(-11). Find the common denominator of i and (-8)/(-12)*c/16.
132
Let c be (80/(-12))/((-1)/6). Let i(f) = -f**2 - 6*f - 17. Let n be i(-5). Let g = c + n. What is the smallest common multiple of 3 and g?
84
Let s(h) = 3*h**2 + 16*h - 10. Suppose -c = 4*b - 19, -2*c + 8 = 2. Calculate the least common multiple of s(b) and 18.
306
Let q = 9151/14 - 659. Calculate the common denominator of -55/24 and q.
168
Suppose w + 37 - 157 = 0. Calculate the common denominator of (-31)/(0 - (-24)/2) and (-14)/36 + (-20)/w.
36
Let z = -217 + 192. Let s = -243/20 - -361/20. Calculate the common denominator of (z/(-3) - -3) + (-9)/18 and s.
30
Suppose 0 = -3*v + 4*r + 294, 3*v + 28*r - 26*r = 258. Calculate the lowest common multiple of v and 1107.
11070
Let b = -7910687/53105710 - 2/108379. Find the common denominator of b and -53/280.
1960
Let t = -21425/2 - -13347823/1246. Calculate the common denominator of -109/1068 and t.
7476
Let o be (-20036)/76*10/330. Let z = 161/19 + o. Calculate the common denominator of (2/15)/(-2)*94 and z.
165
Suppose -8*p - 16 = -16*p. Suppose 300 = p*r + 8*r. Calculate the lowest common multiple of 3 and r.
30
Let d = 41567693/12 - 3468105. Let a = d - -4128. Calculate the common denominator of 578/(-76) + 9*6/513 and a.
12
Let p be 2*(-10986)/((-468)/66 + 2). Let d = p + -4319. Find the common denominator of d and -45/38.
266
Let h(v) = 6*v - 70. Let m be h(12). Suppose m*n = 2*d - 44, -5*d + 122 = 2*n - n. Calculate the smallest common multiple of 12 and d.
24
Let r = 