t k = 620108/61835 - -284/745. Let d = k - 67301/5644. What is the common denominator of d and 103/68?
68
Let b = -2606 + 2622. What is the smallest common multiple of 1/(-6) - 5402/(-12) and b?
3600
Suppose -14 = 2*a + 30. What is the lowest common multiple of (24/(-10))/(3/(-15)) and ((-56)/(-9) - a/(-99)) + -2?
12
Let f(n) = 3*n - 8*n**2 + n**3 + 9*n**2 - 6 - 7*n**2. Suppose -40 - 65 = -5*g. Calculate the smallest common multiple of g and f(6).
84
Find the common denominator of (-1 + (-147)/(-120))/(624/(-13))*-26 and -79/100.
1600
Suppose 7*u - 2*u = 275. Let d(t) be the second derivative of -t**4/12 + 5*t**2/2 + 3*t - 60. What is the least common multiple of d(2) and u?
55
Let w be -3 + (7 + -4 - 1). Let b be (w + 6)/(8/9544). Let y = b + -131317/22. Find the common denominator of y and 25/22.
22
Let c = 1689135409/794556 - -197/28377. Let v = c + -2124. Calculate the common denominator of v and 97/42.
84
Let m be (-28 + 1 + 1)*(-4719)/26. Let n = 306724/65 - m. Calculate the common denominator of n and -7/55.
715
Let t = 182983 - 114730291/627. Find the common denominator of t and 127/114.
1254
Let j(h) = h**2 - 54*h + 653. Calculate the least common multiple of j(-27) and 45.
25560
What is the least common multiple of 3/(-2)*6084/(-351) and 364?
364
Calculate the common denominator of (((-3)/336)/((-24)/42))/((-36)/888) and 19/320.
960
Let n(r) = -r**2 + 37*r - 80. Calculate the smallest common multiple of n(32) and 3656.
36560
Let b be (-51)/661810*(-2 - (-463231)/(-3)). Let w = b - -3/3893. Find the common denominator of w and 33/232.
1160
Let g = 7258625/69226206 + 1/105207. Calculate the common denominator of g and 37/1128.
7896
Let w = -87 - -91. Suppose -120 = -w*y - 3*l, 5*l = -2*y - 2*y + 112. What is the common denominator of 10/6 + 22/y and 82/15?
15
Let i = 1597/409939 + 15800853325/1325742726. Let t = i + -530/49. Find the common denominator of 85/8 and t.
264
Let w be -1 - (-4 + 1 + -1). Suppose w*c = 62 + 40. Calculate the lowest common multiple of 1292/85 - 36/30 and c.
238
Suppose 49223 = -12*z - 1261. Let y be ((-34)/(-24))/(7/z). Let x = y + 1727/2. What is the common denominator of x and 35/39?
156
Let m = 18949/3930 + -74/393. Calculate the common denominator of m and -13/81.
810
Let c(t) = -2*t - 6. What is the smallest common multiple of c(-4) and (-258)/(-5) + 168/120?
106
Let b = 5947 - 71263/12. Find the common denominator of b and 43/12356.
37068
Let z = -126 + 238. Calculate the lowest common multiple of (-2)/(-5*(-2)/(-110)) and z.
1232
Let m = -22195 + 25135. What is the least common multiple of 245 and m?
2940
Let v = -513687/100 + 5137. Let c = -1266848/15 - -84461. Calculate the common denominator of v and c.
300
Suppose -3*i + 3*b = -3, -3*i - b = -6*i - 1. Calculate the lowest common multiple of (-25 + 13)/(3/(-3))*(25 - 3298/136) and (-2)/2 + 9 + i.
63
Let r be (-15)/5*(-526)/6. Let n = 1857/7 - r. Let o(w) = w**2 + 9*w - 2. Find the common denominator of o(4) and n.
7
Let d = 364 + -3269/9. Let m = -637/12 - -151/3. Find the common denominator of d and m.
36
Let t = 127241/10 - 12735. Let o = 1/131343 + 1795013/1050744. Find the common denominator of o and t.
120
Let q = -7679/6094 - 7/554. Find the common denominator of -79/1434 and q.
15774
Let s = -13925917/226 + 61619. Calculate the common denominator of s and -22/791.
1582
Let h(k) = 4*k**2 + 2*k - 1. Suppose -4*l = -3*z - 8, 0 = -5*z - 14*l + 16*l + 10. What is the lowest common multiple of (-3 - -12) + z + -2 and h(1)?
55
Let i = -11 - -17. What is the smallest common multiple of i and (95 + 21 + -22)*-1*3/(-3)?
282
Let b(t) be the first derivative of 6*t**2 - 41*t + 42. What is the least common multiple of b(4) and 10?
70
Find the common denominator of (-1046)/(-6160) + (6 - (-460)/(-70))/2 and -17/220.
440
Let b = 272 + -267. Suppose 5*t + 4*g + 1 = -14, -b*t = -3*g - 20. Calculate the smallest common multiple of t and 76.
76
Let x = 116103743659/2303607180 - 1253865/23951. Let c = x + 2/4809. Calculate the common denominator of (2/(-42)*58)/((-164)/369) and c.
140
Let c = 140993/17 + -23203138/2805. Let y = -252/11 + c. What is the common denominator of 44/75 and y?
75
Let i be (-45)/180 + 53/4. Suppose 4*j - i*p = -10*p + 148, -3*p - 28 = -j. Calculate the smallest common multiple of j and 1 + -4 - (-70)/5.
440
Suppose f - 33 = -2*f. Suppose 3*o + h = -498, -3*o = 10*h - 5*h + 486. Let t = o + 168. Calculate the least common multiple of t and f.
11
Calculate the least common multiple of 2*12 - ((-6)/(-1))/(-9 - -8) and 24.
120
Suppose 4*d - 9*d - 3*g = 10, 3*g + 4 = -2*d. Let c(k) = 3*k**2 - 11*k - 27. Calculate the lowest common multiple of c(d) and 28.
28
Let h(a) = a**3 - 24*a**2 + 221*a - 33. Calculate the least common multiple of 78 and h(9).
1482
Let q be -2 + 20/(-4) + 2. Let u(m) = -m**3 - 5*m**2 - m + 7. What is the smallest common multiple of u(q) and 3?
12
Let t be ((-4)/(-8))/(3/12). Suppose 5*c + 5*i - 145 = 6*i, 2*c = -t*i + 46. Calculate the least common multiple of 124 and c.
868
Let x be ((-22)/(-2))/(-44) + (-18)/(-8). Suppose 3*y = x*y + 3, -3*i = -2*y - 543. What is the smallest common multiple of i and 6?
366
Suppose 1 = f, -23*a + 24*a = -5*f + 41. Suppose 4*o = 3*o + 126. Calculate the smallest common multiple of o and a.
252
Suppose 3*v - 617 = 4*t, 3*v + 17*t - 626 = 12*t. Let y = v + -853/4. Let a = 3/3751 + -378875/30008. What is the common denominator of y and a?
8
What is the lowest common multiple of (-12 + 21)*(-308)/(-36) and 88?
616
Let p = -62 - -58. Suppose 0 = 3*q + 2*u - 3 - 56, -2*q = -4*u - 66. What is the lowest common multiple of (p/10)/(6/(-90)) and q?
138
Let c(a) = -a**3 - 6*a**2 - a + 3. Suppose -5*w - 47 = 4*i - 9, 20 = -3*w - i. Calculate the smallest common multiple of c(w) and (36/30)/(9/210) - (-17 + 28).
153
Let o(i) be the second derivative of i**5/20 - i**4/2 - i**3 + 17*i**2/2 + 19*i. Let l be o(7). Calculate the common denominator of 81/8 and 4/30*(-4170)/l*-1.
24
Find the common denominator of ((-4900)/(-8232))/(1/7) and (113/(-12))/((-3)/6).
6
What is the least common multiple of 3/(-2 - 36/(-8))*(-17490)/(-198) and 1378?
1378
Let s = 8449 + -8433. What is the least common multiple of 23 and s?
368
Let y(t) = -8*t - 8. Suppose -3*f + 17 = 11. Let a be y(f). Calculate the common denominator of (-3*(-22)/(-15))/(a/(-75)) and -107/6.
12
Let n = -20 + 24. Suppose 2*w = 4*m - 42, 17 + 43 = 5*m - n*w. Calculate the least common multiple of (-63)/(-4) - (-3)/12 and m.
16
Let i = 518 + -868684/1677. Let u = i + 72071/33540. Calculate the common denominator of u and 10/11.
220
Calculate the smallest common multiple of -22*(-7 + (-141)/(-33)) and 1520.
4560
Let g(v) = 1. Let o(x) = 4*x + 19. Let w(f) = 6*g(f) - o(f). Let y be w(-4). What is the smallest common multiple of 13 and (y + -9)/2 + 8/2?
13
Let d(l) = -20*l - 1374. Suppose 5*v - 3*v = 58. Suppose 4*n = v + 71. What is the smallest common multiple of n and d(-69)?
150
Let f(p) = 3*p**3 - 15*p**2 + p - 17. Let d be f(7). Find the common denominator of 3 + 9/(-3) - d/208 and 73/36.
468
Suppose -6810 = 55*b - 40*b. Let m = b - -460. What is the smallest common multiple of m and 21?
42
Let y = 2/31803 - -2130277/8332386. Calculate the common denominator of 131/42 and y.
5502
Suppose 0 = -9*s + 390 + 24. Suppose 4*b = -3*c + 9*b + s, -33 = -4*c + b. Calculate the least common multiple of 7 and c.
7
Let c = 124447/415945 + -33/2029. Calculate the common denominator of c and -71/82.
410
Let p = 436 - 425. Suppose -20 = 7*u - 2*u. Calculate the lowest common multiple of p and (-2)/u*(168 + -2).
913
Let x be -5 + 3 - 29/(-6). Let v = x + -14/5. Let j = 99 + -539/6. What is the common denominator of v and j?
30
What is the common denominator of (-815*(-1)/(-4125))/((-16)/40) and -181/330?
330
Find the common denominator of (58/(-24))/(72/(-64)) and 22/(-4807)*-23 - (-103)/285.
135
Find the common denominator of (10 - 8)*(-3)/((-108)/(-50)) and 37/2451.
7353
Suppose 4*p - 92 = t, -2*t + 4*p - 191 = 9. Find the common denominator of (-36)/t - 62/(-165) and 173/30.
330
Suppose 33*n - 8432 = -n. Let m = n + -240. Suppose 4 + 2 = g. Calculate the lowest common multiple of g and m.
24
Suppose -15*x + 3379 = -161. Let s = -31 - -38. What is the lea