- (-18312)/4312?
6314
Let i(w) = w**3 + 7*w**2 + 7*w + 7. Let r be i(-6). Calculate the lowest common multiple of (-8)/(-16)*(1 + r) and 16.
16
Let y = 176139/3796 - 3091/52. Let w = -26261/1314 - y. Let s = 12/1661 + -195297/132880. What is the common denominator of s and w?
720
Let u = 16635 + -16579. What is the least common multiple of u and 42?
168
Let l be ((-1)/3)/((-1)/(-54)*-3). Suppose 0 = -n + l*n + u - 1361, -4*n + 1091 = 3*u. What is the smallest common multiple of n and 22?
2992
Let j be -8873900 - (4 - 1 - 0)*-1. Let v = 1118085383/126 + j. Let p = -1814/9 - v. What is the common denominator of 9/10 and p?
70
Let p(i) = -8*i - 158. Let u(t) = 2*t**3 - 6*t**2 + 3*t + 4. Let v be u(4). Calculate the smallest common multiple of ((-6)/(-4))/(18/v) and p(-20).
4
Let h = -554 + 557. Suppose -h*t - 2*t = 4*f - 644, 386 = 3*t + 2*f. Calculate the smallest common multiple of 88 and t.
1408
What is the common denominator of ((-10)/4185*-7)/((-24)/(-9)) and 51/32?
8928
Let u(s) be the first derivative of s**3/3 - 5*s**2 + 17*s - 3. Let a be u(9). What is the smallest common multiple of a + (-4)/(-2) + 1 and 5?
55
Calculate the common denominator of ((-6951)/3465 + 2)*655/6 and -25/18.
198
Let s = -416 - -395. What is the common denominator of -91/12 and 3*-1 - s*(-5)/(-20)?
12
Let a(m) = m + 3. Let d(k) = -1. Let f(g) = 2*a(g) + 10*d(g). Let u(b) = -2*b**2 + 40*b - 100. Calculate the least common multiple of f(4) and u(16).
28
Let s be ((-24724)/112)/(5/(-34)). Let a = -1499 + s. Find the common denominator of a and 69/188.
940
Let o = 30600 + -30496. What is the lowest common multiple of 1560 and o?
1560
Let d = 574 + -568. What is the common denominator of -29/38 and (-700)/(-5016)*-3 - (-3)/d?
418
Let v be ((-2)/3 - -1)*(21 - -93). Suppose -3*z + v = -z - 5*o, z + 3 = -3*o. Calculate the smallest common multiple of z and 130.
1170
Let p = -3677 - -1672. Let x = 3307 + p. Let y = -59945/46 + x. Find the common denominator of y and 139/18.
414
Suppose 5*p + 5*c - 72 = 4*c, -21 = -p + 2*c. Let n = 608343 + -608295. Calculate the lowest common multiple of p and n.
240
Let g be (286 - (-5 + 3)) + 0. Let h be (g/80)/(2*3/40). Suppose -16 = 22*z - h*z. What is the smallest common multiple of 2 and z?
8
What is the common denominator of 89/66 and (11 + (-930)/24)*(-2)/6?
132
Let i = -444/13 + 8053/208. Let d = 11 + -12. Calculate the common denominator of (44/12)/(20/(-6)*d) and i.
80
Let o = -218461832/203 - 3376976/87. Let p = 1116257 + o. Let h = 1274 - p. What is the common denominator of h and 53/33?
231
Suppose 643*n = 629*n + 74466. Calculate the smallest common multiple of 6 and n.
10638
Let c be 657/6 + (-36)/24. Suppose -5*l + 75 = 5*y - 165, 2*y = -5*l + c. What is the least common multiple of 99 and y?
396
Calculate the common denominator of 127/474 and (104/(-91))/((-375)/(-105)).
11850
Suppose 2758 = 230*r - 33*r. What is the smallest common multiple of r and 336?
336
Let n = -39744 - -51744. Calculate the smallest common multiple of n and 2.
12000
Let k = -4171 - -4306. Calculate the smallest common multiple of k and 310.
8370
Let r = 30 + -28. Suppose 5*z + 3*a = 390, 2*z - a + r*a - 157 = 0. Calculate the common denominator of (46*(-1)/z)/((-7)/21) and -67/27.
27
Suppose 0 = 4*j - 2*m - 116, 28*j - 2*m = 26*j + 56. What is the least common multiple of 90 and j?
90
Let s = 200 - 195. Find the common denominator of (712/144 - s)/(2/133) and ((-2)/12)/(5/(-5)).
36
Let m(d) = 21*d**2 + 32*d - 7. Let a be m(3). Let y = -5923/21 + a. Let q = 1/615 - 4853/820. Find the common denominator of y and q.
84
Let o = -4444 - -4447. Calculate the least common multiple of o and 921.
921
Let q = 140013 + -139980. Suppose 5*x = 3*x. Suppose x*c - 33 = -c. What is the least common multiple of c and q?
33
Suppose -955 = -4*z - 267. Find the common denominator of 6 - (1 + z/8) and -13/60.
60
Let m(x) = 10*x + 40. Let h(b) = -b**2 + 11*b - 27. Suppose -4*v + 38 + 13 = -5*o, v = o + 12. Let g be h(v). What is the common denominator of m(g) and 37/10?
10
Let s be (11/2 + 1)*(-195198)/138. Let h = s + 9192. What is the common denominator of h and 61/9?
414
Suppose -3*m + w + 7 = 0, -12 = -3*w + 6*w. Calculate the smallest common multiple of (m - (6 - 4)) + 6 and 8.
40
Suppose 72*g - 92*g = 80. Calculate the smallest common multiple of (g + -1 + 4)*(20 + -44) and ((-1)/2)/(2/(-24)).
24
What is the common denominator of -1/234 and 10/(-28)*(1850/180 - -8) + 5?
468
Find the common denominator of -80/4389 and (-1050)/(-1540)*(-2)/5.
4389
Let n = -565 + 570. Calculate the common denominator of 49/18 and n/4 + (3 - 1128/(-160)).
90
Let m(s) = -10*s**2 + 4 + 11*s**2 + 18*s**2 - 1 + s**3 + 15*s. Suppose w = 4*x + 75, 5*x + 24 = 4*x + 2*w. Calculate the lowest common multiple of m(x) and 2.
114
Suppose 46 = -3*p + 22. What is the least common multiple of 3 and (-22)/p + 9/(108/3)?
3
Calculate the least common multiple of 600 and (-73206)/(-3654) + (-1)/29.
600
Let u = 13736 - 412247/30. Find the common denominator of u and -10/981.
9810
Find the common denominator of (-723)/180 + 9/36 and 262/(-120) - (-3 - (-4 + 2)).
60
Let o = -8180 + 8214. Suppose -21 = -2*v + 7. What is the lowest common multiple of o and v?
238
Suppose 5*k = -0*k + 10. Suppose -k*u + u + 3 = 0. Suppose 2*w - 16 = 4*h, u*h = -2*w + 3*w - 11. What is the lowest common multiple of 10 and w?
10
Calculate the common denominator of -79/90 and (-3178)/360 - (-120)/(-105)*-7.
180
Let a = -503 + 7. Let t = a + 556. Calculate the smallest common multiple of t and 10.
60
Suppose -111 = -12*o - 3. What is the smallest common multiple of 70 and -3 + 2406/24 + o/12?
490
Suppose -5*c - 30 - 315 = 0. Let k = c + 73. Let n(z) = 3*z**2 - 3*z + 3. Calculate the least common multiple of n(2) and k.
36
Let i be 3*(21128/(-24) + -1). Let x = i + 29127/11. What is the common denominator of x and 81/152?
1672
Find the common denominator of -65/92 and (-2)/(-6 - 60/(-12)) - 638/276.
276
Suppose 29*a - 306032 = -33*a. What is the smallest common multiple of 24 and a?
14808
Find the common denominator of 1 + (-5)/6 + (-17)/(3060/(-672)) and -74/9771.
97710
Suppose -8*k - 5*o = -10*k + 2512, k - 3*o = 1256. Calculate the least common multiple of k and 3140.
6280
Let s be (20/(-12) + 1)*-15. Let g(i) = i**2 - 2*i - 9. What is the least common multiple of g(6) and 92/s + (-5)/25?
45
Suppose -5*j + 490 = 5*f + 120, -2*j + 304 = 4*f. What is the least common multiple of f and 18?
234
Suppose -3*n - 211 = -166. Find the common denominator of -49/16 and 50/120*(-66)/n.
48
Let q = -68074 + 6262727/92. What is the common denominator of -31/1772 and q?
40756
Suppose 0 = -2*f + 4*f + 10. Calculate the common denominator of 1/4 and (-35)/f + (-1015)/84.
12
Let w be (-6412)/(-42)*(-4)/((-16)/(-94)). Let q = w - -603055/168. Find the common denominator of q and -47/49.
392
Find the common denominator of (-15)/20 + ((-80339)/1764)/(-23) and -7/12.
252
Let b = 22632/7 + -904601/280. Find the common denominator of (81/1170)/(57/(-76)) and b.
520
Let t(d) = 6 + 3*d - 10*d + 5*d + 2. Let y be t(3). Suppose y*a - 49 = -37. What is the lowest common multiple of 9 and a?
18
Suppose 12 = -5*i + 12. Suppose -4*k + 5 - 25 = i. What is the least common multiple of 18 and (1 - k)/((-24)/(-96))?
72
Let q be (-20)/10*(-3)/2. Let d be -1 + (q - 0) - 5. Let k(x) = -2*x + 1. What is the lowest common multiple of 1 and k(d)?
7
Find the common denominator of 65/99 and ((-15)/10 + 1495/990)/(4/146).
198
Let q(y) = y**3 + y**2 - 3*y + 26. Let o be q(0). Suppose -o*a + 27*a = 30. What is the least common multiple of a and (-2)/9 - 328/(-18)?
90
What is the common denominator of (162/1404)/((-18)/445) + 10/8 and -83/33?
858
What is the common denominator of 329/172 - 2*(-3)/(-8) and (-3)/((-39)/2) + 28100/1560?
258
Let a(x) = 16*x**3 + 2*x**2 - 4. Let t be a(-3). Let h = 735 + t. Calculate the common denominator of h/140 - (-6)/21 and -49/22.
220
Let n = -10/63 + 478/63. What is the common denominator of n and -51/3838?
26866
Let f(i) = i**3 + 10*i**2 - 23*i - 149. What is the lowest common multiple of f(-7) and 742?
2226
Let a(x) = -x**2 + 2*x + 1. Let z be a(2). Find the common denominator of -31/16 and (-2 - 21/36) + z/3.
16
Let m(j) = -82*j**2 