.
21
Calculate the common denominator of 80/(-1000) - 9087/3600 and 113/114.
912
Let c = -722 + 1205. Calculate the least common multiple of 9 and 2/12 + 0 + c/18.
27
Suppose -140*s + 136*s = -44. Calculate the least common multiple of s and 1.
11
Find the common denominator of 1436/6426 + (-6)/(-102)*-2 and -151/12.
756
Suppose -203 = -4*d - 4*w + 177, d - 111 = 3*w. What is the least common multiple of 6*2 + 2*-1 and d?
990
Suppose 0 = 3*t + 2 - 17. Let o = 17 - t. What is the least common multiple of o and 24?
24
Let i be (-3)/(-2)*(-7)/(63/(-30)). Suppose -i*v = -v - 24. What is the lowest common multiple of v and 15/(-10)*(-88)/6?
66
Let h be (-2)/(-14) + (-5015)/32165. Let y = 39685/12866 + h. Find the common denominator of y and (-2)/(-4) + 126/(-16).
56
Let v(k) be the first derivative of k**3/3 - 9*k**2/2 - 13*k + 47. What is the lowest common multiple of 33 and v(11)?
99
Let u = -11030009/160 - -68938. What is the common denominator of u and -39/32?
160
What is the common denominator of -37/60 and 4 - 38/11 - (-3507)/1980?
60
Let x(g) = -6*g - 174. Calculate the smallest common multiple of x(-41) and 18.
72
Let u = 47 - 35. What is the common denominator of (-1 - (-132)/16)/(2/u) and -8/11?
22
Suppose 0 = 4*v + v - 20. Suppose 5*y + 33 = q - 3*q, 2*y = -v*q - 106. What is the common denominator of (-7535)/66*1/10 and q?
12
Let h be (-64)/(-356)*(-2)/(-28). Let v = 27947/6853 + h. Find the common denominator of v and (98 + 0)*3/12.
22
Suppose 139*z - 136*z - 12 = 0. Calculate the lowest common multiple of z and 32.
32
Let x = 841 - 836. Calculate the least common multiple of x and 14.
70
Suppose j - 62 = r, 4*j = 3*r - 7*r + 280. What is the common denominator of 33/2 and -2 + (2 - -2) + (-141)/j?
22
Let b(t) = -249*t + 4. Let j be b(3). Let x be -8189*5/(-220)*4. Let n = x + j. What is the common denominator of n and 16?
11
Let f = -3681/4 - -915. Find the common denominator of f and -77/40.
40
Suppose 2*g = 5*s + 4*g - 12, 2*s - 4*g = 0. Let w be 0 + (-1 - 0 - s). Calculate the common denominator of w + (195/(-18))/(-5) and -59/3.
6
Suppose -6 = -6*l + 30. Calculate the lowest common multiple of 2 and l.
6
Calculate the least common multiple of 44 and (2/(-1))/((-11)/66).
132
Let t(x) = -5*x**3 - 2*x - 1. Suppose 7 = -2*s - 5*z, -z + 0*z - 3 = 0. Let c be (s - 2)*(-3)/6. Calculate the smallest common multiple of 26 and t(c).
78
Let r = 47 - 43. Suppose -r*l + 6*l = 66. What is the lowest common multiple of 30 and l?
330
Suppose -6*j = -j - 10. Suppose j*s + 3 = i, 5*i + 5*s = 15 + 15. Calculate the smallest common multiple of 31 and i.
155
Let i be 3 + (1522/204 - (3 + -4)). Let f = 27/34 - i. Find the common denominator of -101/6 and f.
6
Let b(c) = -c**3 + 3*c**2 + 4*c + 4. Let o be (24/10)/(7/(-35)). Let s(d) = -4*d - 40. What is the least common multiple of b(4) and s(o)?
8
Let g = -27789/56846 - -8/661. What is the common denominator of -58/3 and g?
258
Let l(m) = -m**3 - 5*m**2 + 7*m. Let u be l(-6). Let g(q) = -q - 4. Let c(x) = -x**2 + 24*x - 26. What is the least common multiple of g(u) and c(22)?
18
Let k(i) = -11*i - 10. Let a(v) = -5*v - 5. Let c(h) = -5*a(h) + 2*k(h). Let l = 11 + -8. What is the smallest common multiple of 14 and c(l)?
14
Suppose 3*y = -0*y + 18. What is the lowest common multiple of y and 2/6 + 748/204?
12
Calculate the common denominator of (-8)/(-3)*(4 - -1) and 547 + -540 - (2 + 3*(-5)/(-2)).
6
Let j(s) = -81*s - 3. Let x be j(5). Let r be (9 - 8)/((-2)/x). Find the common denominator of -71/4 and (-12)/9*r/56.
28
Let w be (-676)/(-10) + (-2)/(-5). Let n = -2603/10 - -260. Calculate the common denominator of n and (-5)/36*(1 + w).
60
Let s(r) = -r**3 + 12*r**2 + 16*r + 36. What is the lowest common multiple of s(8) and 8?
840
What is the least common multiple of 50 and 140/(-12)*(-108)/126?
50
Suppose -5*a - 36 = 3*c, -6*a = -4*a + 3*c + 9. Let l = 23 - 24. Calculate the lowest common multiple of (-9)/l + a + 8 and 8.
8
Suppose 2*z = z + 23. Suppose -k - 7 = -q, -5*q + z = -k - k. Let a = 17 + -15. Calculate the least common multiple of q and a.
6
Let m(t) = t**2 + 10*t + 9. Suppose 0 = 2*c - 6*c + 3*w + 23, c = -3*w + 17. Suppose c = 3*b + 38. Calculate the least common multiple of 1 and m(b).
9
Let o(z) = -z**3 - 9*z**2 + 2*z + 6. Let u be o(-9). What is the common denominator of 34/7 and ((-3)/u)/((-3)/(-220))?
21
Let z be 7/((-77)/(-2)) + 34590/(-33). Let g = -11501/11 - z. Find the common denominator of 3/(-9) - 281/48 and g.
176
Let k(g) = -6*g + 102. Let h = 6 + 0. What is the lowest common multiple of h and k(12)?
30
Let o(a) = 3*a + 38. Let u be o(-12). Suppose 4*v - 108 = -2*b, 0 = -3*v - u*v + 4*b + 135. What is the lowest common multiple of 15 and v?
135
Let p be ((-7897365)/108460)/(-9) - 4. Let m = 1/1972 + p. Find the common denominator of -35/2 and m.
22
Suppose 4*c = -0*o - o + 3, 0 = -4*c - 2*o - 2. Let i(z) be the first derivative of -z**2 - 2*z - 2. What is the least common multiple of i(-7) and c?
12
Let x(w) = -w + 1. Let o be x(7). Let m be (-2)/o + 50/30. Suppose m*z = -2*z + 5*k + 67, -5*z - k + 91 = 0. What is the smallest common multiple of 2 and z?
18
Let x = -2401 + 1510. Calculate the common denominator of -7/20 and x/(-234) + -1 + -1.
260
Let u(k) be the third derivative of k**6/120 + k**5/12 + 5*k**4/24 - k**2. Let p be u(-6). What is the common denominator of (10/(-50))/(2/p) and 9/7?
35
Let j(t) = -t**2 + 0 - 2 + 3*t + 3*t**2 + 3. What is the smallest common multiple of (5/3)/((-66)/(-9) + -7) and j(-2)?
15
Let n = -249349/76 - -3281. Let o = -3135/2 - -1539. Calculate the common denominator of n and o.
76
Let z = -424354/33 + 12858. What is the common denominator of 2/12*(-212)/6 and z?
99
Suppose -3*g + 6*g = 18. Let z be (0 - 1) + g + 20. What is the lowest common multiple of 2 and (-10)/z*-5 - 0?
2
What is the common denominator of (-81)/(-36) + (-585)/54 and -71/32?
96
Let i = 115 + -68. Let h = -29 + i. What is the smallest common multiple of h and 44?
396
Suppose 7*a = -2*y + 5*a + 362, -5*a - 355 = -2*y. Calculate the smallest common multiple of 180 and y.
180
Suppose -3*l - 2*z = -270, 0 = -5*l - 4*z + 4 + 448. Suppose 2*v + w - l = 0, -3*v + 2*w = -w - 114. What is the least common multiple of v and 18?
126
Let b = 13 + -41. Let h = b + 37. Calculate the lowest common multiple of h and 3.
9
Let u = 319465/42 + -7608. Find the common denominator of 44/21 and u.
42
Let d(w) = 21*w - 14*w - 5*w + 12. Suppose 5*r + 5*i - 45 = 0, -2*i = -4*r + 8 + 10. What is the lowest common multiple of r and d(0)?
12
Suppose 2*p = -0*p - 6. Let a = 139801/16 - 8741. What is the common denominator of 351/(-60) + (-6)/p and a?
80
Let r = -58811/168 + 2435/7. Calculate the common denominator of r and -133/18.
72
Find the common denominator of ((-36)/(-110))/(-2 + (-94)/(-45)) and 23/2.
22
Suppose -g - 13 = -2*f - 6, 3*g = -4*f + 19. Let n(i) = -4*i - 1. Let y be n(-1). Suppose y*h = 5*h - 44. Calculate the smallest common multiple of h and f.
44
Let j(b) = 7*b - 95. What is the smallest common multiple of j(15) and 104?
520
Let d = 2/837 + -7909/1674. What is the common denominator of 38/15 and d?
90
Calculate the common denominator of ((-68)/(-7140))/((-3)/(1809/(-24))) and 81/160.
1120
Let j(c) = 73*c**2 + 2. Let q be j(4). Let h = 14093/12 - q. Calculate the common denominator of h and 89/12.
12
Let h(r) = -3*r**2 + 105*r - 78. Let f be h(33). Let b(g) = 2*g - 5. Let p be b(5). Suppose f = p*l + l. What is the smallest common multiple of l and 8?
40
Let n = -4702 - -56377/12. Suppose -k - 5*m + 262 = 3*k, -2*k + 4*m + 144 = 0. Find the common denominator of (k + 5)*(-2)/(-4) and n.
12
Suppose 11*u = -33*u + 396. What is the smallest common multiple of 1470 and u?
4410
Suppose -z + 3*m + 43 = -68, -359 = -4*z - 5*m. What is the least common multiple of 10 and z?
480
Let p be ((-224326)/8388 - 0) + (-2)/(-9). Let v = -5/233 - p. Calculate the common denominator of v and 145/12.
12
Let a = 4031 - 36239/9. Find the common denominator of (0 - -2)*1/(1296/1812) and a.
54
Let p = -570 + 2297/4. Let v = -8 - -5. Let m = p + v. Calculate the common denominator of 26/7 and m.
28
Suppose 2*x - x = 5810. Let i = 6154271/1060 - -4629/530. Let d = i - x. What is the common denominat