/40041 - 1563359/17618040. Find the common denominator of 13/125 and u.
11000
Suppose -37*t = -12*t + 250. Calculate the common denominator of (3355/(-770))/(t/7) and -61/35.
140
Let q be 31/4 - (1 + (-10)/8). Suppose 0*v = q*v + 24. Calculate the lowest common multiple of (-4)/(-6)*v + 33 and 7.
217
Suppose -v + 6 = -4*n - 8, -3*n - 8 = -2*v. Let c be 9/6 + v + (-4439)/2. Let o = c - -6736/3. Calculate the common denominator of o and 47.
3
Suppose i + 4 = 0, -o + i + 17 = 3*i. Let k be (14/2)/(1/11). Let w = k - o. What is the least common multiple of 10 and w?
260
Let n(p) = -1294*p + 1506. What is the smallest common multiple of 265 and n(1)?
1060
Calculate the common denominator of (-2 - -5)/(-30) + 9 + 24409/(-2640) and -71/1008.
5040
Let i(u) = 5*u**2 + 12*u - 3. Let l(r) = 2*r**2 + r - 4. Let n(h) = -i(h) + 2*l(h). Let y = 1 + -3. Calculate the least common multiple of 17 and n(y).
187
Let f be (-60)/(-21)*(-21)/(-2). What is the least common multiple of 32 and 55 + 3 - 36/f*-5?
64
Let y(o) be the third derivative of 3*o**6/10 - 7*o**4/24 + 7*o**3/6 - 115*o**2. Calculate the smallest common multiple of y(1) and 10.
180
Let t = -88779/44 + 2017. Let f = -1859 - -18617/10. Find the common denominator of t and f.
220
What is the common denominator of -103/42 and (-1)/4 - (-656)/1148?
84
Let l(d) = d**3 + 76*d**2 + 94*d + 1431. What is the least common multiple of l(-75) and 12/2 + (4 - 7)?
6
What is the common denominator of -77/4832 and -3 - -11 - ((-5346)/616 + 19)?
33824
Let j(f) = -f**2 + 7*f - 9. Let c be j(5). Suppose -2*p - c = -p. Calculate the least common multiple of 21 + (p/(-2) - (-2)/(-4)) and 33.
231
Let l = 2785/7 + -394. Let d = -355/63 + l. What is the common denominator of d and ((-280)/(-75))/(((-216)/10)/6)?
27
Let k = -1875/761098 + 23991511194/150316855. Let o = k + -103/79. Let r = 832/5 - o. Find the common denominator of r and 81/2.
10
Suppose -5*g + 3 = -5*j - 7, -2*j + 26 = 4*g. Suppose -4*w = f - 2, 2*w - f + j*f = -2. What is the common denominator of 35/11 and (66/(-36))/(w + 21/(-33))?
264
Suppose 4*g + 10*g + 4788 = 0. What is the common denominator of 143/30 and 9215/g*(2/(-40) - 0)?
360
Suppose -14*k + 440 = -76 + 54. Let c(m) = -5*m. What is the lowest common multiple of c(-6) and k?
330
Let i be (-2)/(-6)*((-1954)/20 + -7). Let p = -333/20 - i. What is the common denominator of 35/1038 and p?
2076
Suppose -63*y + 105*y - 23766 = -191*y. Calculate the least common multiple of y and 42.
714
Calculate the common denominator of -53/440 and (9 - (-1386)/(-165)) + 37/(-60).
1320
Let a = 423/52 - -3/26. What is the common denominator of a and 21 + -7 - 3274/233?
932
Suppose 54 = 3*m - 0*m. Suppose 0 = 5*o - 8*o + m. Suppose 6*t = 5*t + o. What is the smallest common multiple of t and 20?
60
Let l be (86 - 1) + (5 - 9 - -3). Suppose 2*h + 4*c - l = -0*c, 2*c = 5*h - 150. Let y = 8 + 8. Calculate the lowest common multiple of h and y.
32
Let k be -26 + (0 - -2 - 3). Let j be (1924/(-39) - 8) + 2/6. Let z = k - j. Calculate the smallest common multiple of z and 2.
30
Let u be 1 + 2067/(-1710) + 3/18. Let p = u - 51/1045. Calculate the common denominator of p and 43/10.
110
Suppose 2*c - 4*j - 50 = 0, -4*j = -c + 2*c - 49. Let a(i) = 11*i - 51. Let q = -284 - -289. What is the least common multiple of c and a(q)?
132
Calculate the common denominator of 157/6240 and 1*(271/(-90) + 3)/(40/(-865)).
18720
Suppose 15*w = 17*w - 10. Suppose w*s = -6 + 16. Suppose 4*r = -0*n - s*n + 26, 4*r + 5*n = 23. Calculate the smallest common multiple of 7 and r.
7
Suppose -x = -3*i + 5, -8 = -2*x - 5*i + 2*i. Let y = -6913555/144 - -48011. Calculate the common denominator of (2/20)/(x/(-19)) and y.
720
What is the smallest common multiple of (-113296)/(-1022)*(-1 + 22) and 66?
25608
Let i = -541/308 - -109/28. Calculate the common denominator of i and 90024/(-46512) + 4/(-114).
374
Let c = -5423/1554 + -18/37. Calculate the common denominator of (6 + 13)*(-2)/(-20) and c.
210
Let d = 434801/4550 - 669/7. Find the common denominator of 36/455 and d.
4550
Let v = -47689/14 - -3401. Find the common denominator of -48/493 and v.
6902
Let u(s) = -s**3 - s**2 + 4*s + 6. Let g = -7144 + 7160. Calculate the lowest common multiple of u(-4) and g.
304
Let k be 3 - (8 + -4) - -3. Suppose -4*u - 5*y + 192 = -44, -k*y + 170 = 3*u. What is the lowest common multiple of 8 and -3 + (-18)/(-5) - u/(-10)?
24
What is the common denominator of (-23)/21*(-2 + 1 + 323/38) and 15/94?
658
Let b = -34 - -298. Calculate the common denominator of 14/(-42) - 386/b and -73/84.
924
Let w(b) = -3*b - 1. Suppose -8*d + 6 = -9*d. Let y be w(d). Suppose 21*q - 160 = y*q. Calculate the lowest common multiple of q and 20.
40
Let q be ((-9)/1458)/((-684)/(-16)). Let u be 5 + -8 + 3407386/277020. Let c = q + u. Calculate the common denominator of c and 50/31.
310
Let h be 6/1 + 3/3. Suppose 5*n - h*n + 28 = 0. What is the lowest common multiple of 1 and (20/n)/(9/63)?
10
Let f = -1858237831/5040 - -368698. Calculate the common denominator of -61/336 and f.
5040
Let l = -37 + -23. Find the common denominator of -53/75 and (-4794)/5670 + (l/42 - -2).
675
Let m = 25229 - 24039. Calculate the lowest common multiple of m and 1190.
1190
Let o = 6 - 4. Suppose -15 = -3*h + 4*m - 0, -5*m = 4*h - 20. Suppose h*a - 12 - 8 = 0, -3*w - 3*a + 60 = 0. What is the smallest common multiple of w and o?
16
Suppose s + 5*w = 388 + 1916, 4*s - 9266 = 5*w. Calculate the smallest common multiple of 260 and s.
23140
Suppose -4*c = -t - 7971, -4*c - t + 7981 = -0*c. Let r = c - 59813/30. Calculate the common denominator of r and -1 - (0 - 206/36).
90
Suppose -9*o - 83 = -4*s - 4*o, 4*o + 84 = 4*s. Suppose 11*z = 4*x + 13*z - s, 4*z - 14 = -2*x. What is the smallest common multiple of x and ((-2)/(-4))/(2/8)?
10
Suppose -3454 - 4736 = -130*x. Calculate the lowest common multiple of x and 7.
63
Let u(f) = 9*f**2 - 9*f - 48. What is the smallest common multiple of u(-4) and 24?
264
Suppose -4*k - 20 = -4*j, -2*j + 9 = 3*k + j. Let a be (1975/(-9690))/(-1) - k/(-6). Let n = -15421/6460 + a. What is the common denominator of n and -31/22?
220
Let z(r) = 9*r**2 + 294*r + 161. What is the smallest common multiple of 2860 and z(-33)?
2860
Suppose 200 - 160 = n. Calculate the smallest common multiple of n and (363/(-99))/((-1)/15).
440
Let a = -7640609/140 - -54576. Calculate the common denominator of a and 113/1890.
3780
Suppose -1971 = -74*q + q. Calculate the least common multiple of 9/(2/(5 - 3)) and q.
27
Let a = -6028256/396207889 + -2/177433. Find the common denominator of a and 85/4466.
4466
Let r = -148 - -142. Find the common denominator of (1885/91)/(1/(7/r)) and 95/24.
24
Let i be 2/(-10) - (-214407)/(-15). Let j = i + 6693. Let h = -91063/12 - j. Find the common denominator of 101/12 and h.
12
Let z be 120/(-16) - -10 - (-158442)/(-44). Let v = -3603 - z. Calculate the common denominator of v and -15/79.
869
Let i = 7539 - 361733/48. Calculate the common denominator of -119/138 and i.
1104
Suppose 5*g = 28*g - g. Suppose g = y - 164 + 48. Calculate the least common multiple of 4 and y.
116
What is the common denominator of 206600/41190 - (2 - (-4)/((-4)/(-3))) and -89/4?
16476
Suppose 0 = 23*b - 26*b + 369. Suppose -4*w + 21 = -b. Calculate the least common multiple of 30 and w.
180
Let f = -2522/9 - -86387/306. Let s = 47606/9 - 5295. What is the common denominator of s and f?
306
Let i be (-12)/(-24) - (-338)/4. Suppose -i = -7*q + 55. Let n = -130 + 136. What is the least common multiple of q and n?
60
Let y(q) = -q - 6. Let t be y(-6). Suppose t*p = 2*p - 16. Let n(u) = -u**2 - 33*u - 24. Calculate the smallest common multiple of p and n(-32).
8
Suppose -5*x + 20 = 3*z + z, -2*z + 14 = 3*x. Let k(p) = p**2 + 2*p + 10. Let a be k(x). Calculate the smallest common multiple of ((-3)/(-2))/(27/a) and 10.
10
Suppose -13*m + 8*m - 10 = 0, 0 = -2*v + 4*m + 62. Suppose 3*y + v = 5*r, -2*r + 5*y + 13 = r. What is the least common multiple of r and 18?
18
Let a = -2357405/27 - -87309. Let k = -6/1219 - -176971/43884. Calculate the common denominator of a and k.
108
Suppose -13*k + 260 = -8*k. Suppose r + 4*v = -84 + 112, -4*r + 42 = 2*v. Calculate the lowest common multiple of r and k.
104