?
13079
Suppose 7*g - 10402 + 9212 = 0. Calculate the lowest common multiple of g and 50.
850
Let j = -45579 + 1367507/30. Let u = -54410/265629 - 2/6811. Find the common denominator of j and u.
390
Let p = -4999 + 140013/28. Let a = -2/7 - p. Calculate the common denominator of a and 2/11.
44
Let t = 11512 - 7438. Suppose -3*d + 2*d = -t. Let f = -81463/20 + d. What is the common denominator of 65/14 and f?
140
Suppose -1925 = -31*x - 17*x - 7*x. What is the least common multiple of x and 255?
1785
Let f(w) = 2*w**2 - 9*w - 2. Let c be f(5). Suppose -9*r + c*r = -120. Calculate the least common multiple of r and 38.
380
Let f(z) = -7*z**2 - 8*z. Let h(w) = 20*w**2 + 25*w + 1. Let g(l) = 17*f(l) + 6*h(l). Let q be g(-8). Calculate the common denominator of 35 and q/22 + 9/(-18).
22
Suppose -3*b = -2*u - 6766, 5*u = -5*b + 15281 - 4071. Calculate the smallest common multiple of 2700 and b.
13500
What is the smallest common multiple of (9284/2532)/((-1)/6*-2) and 568?
6248
Suppose 5*i + 4*f - 276 = -26, 5*f + 200 = 4*i. Let m = 28 - 13. What is the least common multiple of i and m?
150
Let a(l) = 22*l - 6 + l**3 + 216*l**2 - 104*l**2 - 102*l**2 - 6. Calculate the least common multiple of 10 and a(-5).
30
Let b(l) = l**2 - 28*l - 256. What is the lowest common multiple of 96 and b(-16)?
1344
Suppose 0 = 2*q - 4*f - 38493 - 9783, -5*q + 120684 = -4*f. Let m = q - 2510167/104. Calculate the common denominator of -45/7 and m.
728
Calculate the common denominator of 616/(-352) + 554/(-24) and (-362)/(-72) + -4 + 3.
36
Let c be -3*((-33)/9 - -3). Let j = 245 - 233. What is the least common multiple of j and 97/c + (-2)/4?
48
Let o(g) = 288*g + 20. Let c be o(7). Let j = -3436 + c. What is the common denominator of 1/11 and j/96 + ((-15)/(-12) - 1)?
33
Let i(t) = 2*t**3 - 4*t**2 + 5*t - 2. Let g(k) = k**3 + 6*k**2 - 5*k + 7. Let q be g(-7). Let j = q - -9. Calculate the least common multiple of 8 and i(j).
8
Suppose 0 = -x + 6*x - 19210. Let d be (8364/(-1476))/(3/(32598/16)). Let n = d + x. What is the common denominator of n and -117/28?
56
Suppose 0 = h + 2*h - 48. Let a be (0 + -867)*(-43)/129. Let b = a + -285. What is the least common multiple of h and b?
16
Suppose 29*x = -23*x + 260. Suppose 4*k = 52 - 4. Let a(c) = c**3 - 11*c**2 - 13*c + 18. What is the lowest common multiple of a(k) and x?
30
Let j = 12240 - 12215. What is the lowest common multiple of 6/(-1 - 0 - -3) and j?
75
What is the common denominator of 79/6 and (-18 - 24) + 32 - 25760/(-2582)?
7746
Let h = 686802545107/2496 + -275161280. Let t = -107/39 - h. What is the common denominator of t and 89/40?
320
Suppose -100 + 16 = -14*o. Let b(l) = 2*l**3 - 74*l**2 + 72*l + 4. What is the lowest common multiple of b(36) and o?
12
Let w(s) = -s**3 - 8*s**2 - 16*s - 60. Let a be w(-10). Suppose 5*i = 31*p - 35*p + a, 0 = 2*i - p - 120. What is the least common multiple of i and 18?
180
Let l(t) = 2*t**3 + 70*t**2 + 66*t - 32. What is the least common multiple of 2340 and l(-34)?
2340
Let u(p) = -4*p. Calculate the least common multiple of (-12)/(-18)*(-60)/(-8)*(-1152)/(-320) and u(-6).
72
Let p = 4/31 - 1671/217. Let q = -317 + 275. Find the common denominator of p and 178/q + (9 - (-330)/(-35)).
21
What is the common denominator of 108/(-72) + -10*55/(-224) and -121/36?
1008
What is the common denominator of -46/2817 and ((-86)/(-80) + (-2)/10)*1632/(-22536)?
5634
Let p = 1014 - 162. Let z = 160273/150 - 5608/25. Let k = z - p. Calculate the common denominator of k and 95/18.
18
Let o(v) = -v**3 + 12*v**2 - 22*v + 3. Let y be o(9). Let p be (y/5)/((-33)/(-220)). Calculate the lowest common multiple of 12 and (-15)/1*p/(-80).
12
Let o(y) = -7*y - 191. Let r be o(-29). What is the smallest common multiple of 20 and 6*(-138)/r*6/(-9)?
460
Let z = 9826 - 9818. Let p(h) = h. Let f(k) = -7*k + 2. Let c(b) = -f(b) + 3*p(b). What is the least common multiple of z and c(8)?
312
Let a = 1/38657 + 3749699/1159710. Find the common denominator of ((-12)/351)/(4/(-150)) and a.
390
Let a(d) = -2*d**2 - d + 2. Let w be a(-2). Suppose -20 = 5*c, -x = -c + 27 - 1. Calculate the common denominator of (85/x - 2/w) + -2 and -25/4.
12
Find the common denominator of 7794/1568 - (0 + 5) and 39/14.
784
Let v = -143663 - -98336. Let r be (4 + v/10764)*1*-79. Let h = -1/1196 + r. Calculate the common denominator of h and -22/27.
27
Calculate the common denominator of -194 - -191 - (-43)/(-4) and -15/544.
544
Suppose 186*c + 811786 = 249*c + 57928. Calculate the least common multiple of c and 3.
35898
Find the common denominator of 7/1192 and (124839/2910)/((-38)/10 + -1) - -3.
2384
Let c be -2*19832/411264 - -1. Let h = c + 11/2856. Calculate the common denominator of -50/99 and h.
594
Let m(j) = 2*j**2 + 241*j + 3174. What is the lowest common multiple of m(-15) and 72?
72
Suppose -24*i + 26*i = 8. Suppose -6*k = -62 - i. Suppose -123 - 141 = -k*n. What is the least common multiple of n and 44?
264
Let a = 50113/12 + -4177. Calculate the common denominator of a and -23/1275.
5100
Let l = 33455/28196 - 8/1007. Suppose -35 = -10*j + 5. Calculate the common denominator of (-1393)/252 + (j - 1) and l.
252
Suppose -43*u + 12 = -40*u. What is the smallest common multiple of u and 64?
64
Let p(h) = h**2 - 10*h + 4. Let t = -48 + 56. Let s be p(t). What is the smallest common multiple of 10 and 3*(-2 + (-32)/s)?
10
What is the common denominator of 19/9 and (188/2004)/((-585)/234)?
7515
Suppose 5*v - 14 - 31 = -5*j, v = -2*j + 9. Let p be 6/v*12/(-4). What is the lowest common multiple of -3 + (8 - -3) + p and 22?
66
Suppose 0 = v - 5*v + 24. Let t(x) = x**3 + 33*x**2 + 154*x - 134. What is the least common multiple of t(-27) and v?
246
Let z be (-7)/714*1*2. Let l = z + 257/102. What is the common denominator of -38/9 and l?
18
Let j(p) = 3771*p + 15105. Calculate the smallest common multiple of j(-4) and 8 + 0 + -1 + 0.
21
Let m = 4763079/496 - 9603. Calculate the common denominator of -103/2170 and m.
17360
Let x = 273 + -83533/306. Find the common denominator of 71/252 and x.
4284
Let b be (-1173264)/(-352) + 2/4. Let g = 163167821/48906 - b. Let h = g + 2/741. What is the common denominator of -71/20 and h?
180
Let u = 14491 - 289933/20. Calculate the common denominator of u and 107/760.
760
Let a be -2*(-2)/(-4) - (-5 + 2). Calculate the smallest common multiple of 205 and a*3/(-30) - 92/(-10).
1845
Let y = 14484770/407 + -35589. Calculate the common denominator of y and -12/37.
407
Suppose -3*q + 72 = 4*c - 60, 34 = q - 2*c. Calculate the smallest common multiple of q and 60.
120
Suppose -z = -5*l - 3785, -18*z = -16*z + l - 7559. Calculate the smallest common multiple of 1323 and z.
26460
Suppose -2*b = -4*q - 17 - 49, -b = q + 15. Find the common denominator of 23*-1*2/q and (18/36 - 11)*(-13)/66.
88
Suppose s = 520*b - 519*b - 4, -2*b + 5*s = -5. What is the least common multiple of 6320 and b?
6320
Let h(r) = -40 + 4*r + 4*r - 4*r. Let m = -820 + 833. What is the lowest common multiple of h(m) and 3?
12
Let u = -206/7 - -29. Let m be (-1 + 4)/(316/(-12)). Let l = m + -3817/474. Calculate the common denominator of u and l.
42
Let y = 338 + -158. Suppose 0 = 89950*p - 89946*p + 4*f - 80, -2*p - 3*f = -33. What is the lowest common multiple of p and y?
540
Suppose 0 = 19*h - 1039 - 956. Let a = -98 + h. Suppose 0 = -5*p + 4*p + a. Calculate the least common multiple of p and 5.
35
Let s = 843 + -833. What is the least common multiple of s and 56?
280
Let n be -1 + (53207/106238 - (-1)/2). Let o = n + 584285/28974. Let c = 32 + -71/2. What is the common denominator of c and o?
6
Let y(l) = 2*l**2 - 3*l + 10. Let w(k) = 10*k - 416. What is the least common multiple of w(44) and y(5)?
360
Suppose -2*w + 0 = 2, -4*j - w = -139. Let o = -3 + j. What is the smallest common multiple of o and 12?
96
Let o = -32480167/302 + 107550. What is the common denominator of o and (2431/34)/(3*-3)?
2718
Suppose 31*f - 26*f - 180 = -2*d, -5*d = 4*f - 467. Suppose -d = -10*x + 785. What is the least common multiple of x and 16?
176
Let n = 71 + -62. Suppose o - 240 = -n*o. Calculate the lowest common multiple of o and 60.
120
Let q = -2866709/142 - -20188. Calculate the common denominator of 68/3 and q.
426
Let x be (-55)/30 +