5 = 5*h, 102*d + 1 = 103*d. What is the smallest common multiple of 112 and h?
448
Suppose -5*m + 338 = 13. Let x = m - 58. Suppose -x*f + 96 = -3*f. Calculate the smallest common multiple of 12 and f.
24
Let j(p) = 2506*p + 216. Let y be j(-8). Calculate the common denominator of 83/147 and 2/(-10) + y/(-7035).
147
Suppose -5*b - 21925 = -5*r, 2*b + 5*r = -3535 - 5200. Let u = b - -48143/11. What is the common denominator of ((-29)/(-899))/(7/119) and u?
341
Calculate the common denominator of 10/(-6) + (15112/576 - 23) and -103/980.
17640
Suppose 2*f + 20 = 4*g, 4*f - g - 2 + 14 = 0. Calculate the smallest common multiple of ((2 - 46) + -8)*f and 78.
312
Suppose 4*y + 4*r - 50 - 22 = 0, -3*r = -5*y + 58. Let f(q) = 17*q**2 - 911*q + 541. What is the least common multiple of f(53) and y?
154
Suppose o + 2607 - 780 = 0. Let r = 4407523/34 - 255611/2. Let f = r + o. What is the common denominator of 29/7 and f?
119
Let b = 28868 - 28838. Let o(i) = i**3 + 10*i**2 + 5*i + 4. What is the smallest common multiple of o(-4) and b?
240
Calculate the common denominator of ((-1)/2 - (-247)/182) + (-184021)/218064 and 13/1848.
3696
Let b = 53 - 41. Calculate the lowest common multiple of 54 and b.
108
Let f = -64 + 76. Suppose f*r = -r + 299. Let x = r + -13. What is the smallest common multiple of 8 and x?
40
Suppose -f = 5*s - 39, 5*s + f - 5*f - 44 = 0. Suppose 1171 = -7*v + s*v. Let y = -3586/3 + v. Calculate the common denominator of 19/6 and y.
6
Suppose 20*r - 15*r - 650 = -4*b, -2*b = -4*r + 494. What is the lowest common multiple of 5712 and r?
17136
Let y = 10020582240667/15045910 + -336996025/506. Let s = -12/3443 + y. What is the common denominator of 53/70 and s?
1330
Let h = -624 - -666. Let w(q) = q**3 - 5*q**2 - 5*q + 1. Let v be w(6). What is the common denominator of v/h*104/(-18) and -8/15?
135
Let w = 6451 + -193543/30. What is the common denominator of w and 47/9488?
142320
Let t = 19981/21150 - -78/1175. Let c = 826321/634128 - 1/19216. Find the common denominator of t and c.
990
Suppose -3418*k + 3431*k - 1428 = -609. Calculate the lowest common multiple of k and 636.
13356
Let m be (-11055)/75 - 4/(-10). Let f = 152 + m. Suppose 0 = -5*x + 2*y + 2, 0*y + y = 4. What is the least common multiple of f and x?
10
Let f(q) = 27*q**2 - q + 1. Let d(m) = -2*m**3 - 12*m**2 + 4*m - 4. Let o be d(-7). Calculate the lowest common multiple of -30*(-6)/28 - o/154 and f(1).
54
Let g be (-2)/6 - 334/6. Let n = 2136 - 2101. Calculate the common denominator of n and (g/10)/(2/3).
5
Let j = 77 - 52. Let a(c) = c**2 + 5*c - 6. Let v be a(-7). Suppose -3*d = -v*d + 15. Calculate the lowest common multiple of d and j.
75
Let p = -578 - -678. Calculate the smallest common multiple of p and 174.
8700
Suppose 6*c = 5 - 5. Suppose -42 = -m - 3*p, c = 4*m - 2*p + 4*p - 118. Let t = 35 - m. Calculate the lowest common multiple of t and 7.
56
Suppose 259 = -5*q + 12*q. Suppose 1 = -a + q. Let w = 44 - a. Calculate the smallest common multiple of 4 and w.
8
Calculate the least common multiple of 3*3/(-9)*(-2 + -166) and 74.
6216
Suppose 0 = 4*n + 16, 3*d + 0*d + 23 = -5*n. Let f be (-836)/(-12) + d/(-3). Find the common denominator of 5/f*(-268)/(-6) and 103/24.
168
Suppose 2*f - 5*x = -2*f + 33, 0 = 4*x - 12. What is the lowest common multiple of f and 1184?
3552
Let c(j) = -7*j + 2. Let m(u) = -2*u**3 - 60*u**2 + 1010*u + 104. Calculate the least common multiple of m(-42) and c(-6).
220
Calculate the common denominator of (-2)/(-1)*(123/(-12) + 6) and 1192/1632 + (-6 - (-355)/60).
34
Suppose -2*t + 21 + 4 = -p, -101 = -12*t - p. Calculate the lowest common multiple of 1079 and t.
9711
Let j be (-1 + 5/1)*(157 - 169). What is the lowest common multiple of 30 and (j/(-96))/((5/(-24))/(-5))?
60
Let f(h) = -h**3 - 7*h**2 - 15*h - 9. Let i = 89 - 79. Calculate the least common multiple of f(-6) and i.
90
Suppose 0 = 4*h + 5*i - 19, -3 = -0*i - i. Suppose m + t - h = 12, -5*t = -3*m + 47. Calculate the least common multiple of 10 and m.
70
What is the common denominator of -93/1520 and 6*-1*45/(-90) + 1299/(-288)?
9120
Let q be 2/(-6) - (-2)/(-36). Let t be (1/(-42))/((-741)/20995). Let b = t + q. What is the common denominator of b and 3/4?
28
Let m = 639 + -1466. Let u be 20/10*49743/120. Let t = u + m. Calculate the common denominator of t and 31/80.
80
Let o be (-40 - -42) + (-4 + 0)/1. Calculate the smallest common multiple of (-4)/((-1170)/582 - o) and 20.
1940
Calculate the common denominator of -61/86 and 317/(-54) + 2 - (-60 - -54).
2322
Let i(j) = -6*j**2 - 16*j + 62. Let q = 69 + -29. What is the lowest common multiple of q and i(-4)?
120
Find the common denominator of ((-166)/(-24))/(20/(-6)) and (374 + -437)/((16/10)/((-2)/(-40))).
160
Let f = 772109/30 + -25732. Find the common denominator of f and 7/1125.
2250
Let l = 374 - 1006. Let u = l + 638. What is the smallest common multiple of 33 and u?
66
Let n = 3870155/16 + -241795. Let w = -84 + n. What is the common denominator of -79/20 and w?
80
Let u = -5647 - -5837. What is the lowest common multiple of u and 380?
380
Let f = -521 + 487. Find the common denominator of 143/6 and (-1894)/672 + f/119.
48
Let j(l) = 6 - l**3 + 53*l - 107*l + 59*l + 6*l**2. What is the least common multiple of 30 and j(6)?
180
Let z(i) = -i**3 + 9*i**2 + 12*i - 10. Let h be z(10). Calculate the least common multiple of 32/20*h/4 and 6/(-18) + (-115)/(-3).
76
Let s(n) = 4*n**2 - 41*n - 19. Let y be s(14). Suppose -r = 3*p - 193, 23*r - 22*r + 5*p - y = 0. What is the least common multiple of r and 8?
392
Let h = 110992/8763 + 2/2921. Calculate the common denominator of -27/1198 and h.
3594
Let r = -172/1427 + -142753/650712. What is the common denominator of r and -95/1056?
20064
Suppose 0 = -4*q + 21*d - 16*d + 160, 0 = 4*q + 3*d - 192. Suppose -2*c - 24 = -2*k + 2*c, -5*c - 60 = -4*k. Calculate the smallest common multiple of q and k.
180
Let q = -7 + 6. Let z be (6/10 + q)*-10. What is the common denominator of -37/30 and (-2323)/276 + (-3)/z?
30
Suppose 17*j + 460 = 358. Let m(f) be the first derivative of f**4/4 + 2*f**3 - 2*f**2 - 2*f - 2. What is the lowest common multiple of m(j) and 66?
66
Calculate the common denominator of -67/18 and (-1)/(220/(-2772)*44/10).
198
Let g = 1/2266097692 + 2586400403324521/147296349980. Let q = 17559 - g. Calculate the common denominator of -1/20 and q.
260
Let z = 58/25 - 1434/575. Let y = 295/49 - 14865/3283. Let n = 3253/469 + y. What is the common denominator of n and z?
161
What is the common denominator of 131/96 and 2/(-10) + 7317/12960?
96
Let r = 79613/224 - 2482/7. What is the common denominator of r and (0 - 10) + (-4849)/(-260) + -9 + 1?
160
Let i = 42892 + -85873/2. Let u(v) = 7*v + 3. Let c be u(-3). What is the common denominator of i and (34/6)/((-40)/c)?
20
What is the common denominator of 193971/268632 + (-5)/8 and 1/182?
546
Suppose 2*a - 94 - 32 = -d, 5*d - 142 = -2*a. Calculate the common denominator of a/24*(-75)/175 and -91/32.
224
Suppose 0 = -51*g + 146 + 58. What is the least common multiple of g and 8730?
17460
Let i(r) = 288*r + 713. What is the least common multiple of 434 and i(0)?
9982
Find the common denominator of 111/1040 and 528/(-240) - (-14733)/6240.
2080
Suppose 5*m + j - 8 = 0, m - 3*j = -4*m - 4. What is the common denominator of -44/15 and (112/(-132) + 3)*m/1?
165
Let y = -20/519 + -23461/6228. Find the common denominator of 2/((-16)/(-11))*1 and y.
72
Calculate the smallest common multiple of ((-372)/24 + 15)/(2/(-1792)) and 64.
448
Let q(p) be the second derivative of 25*p**3/2 - 147*p**2 + 105*p. Calculate the lowest common multiple of 273 and q(4).
546
Let u = -214447/16 + 13407. Calculate the common denominator of u and 1/18418.
147344
Let v be (2 - 68/10) + 10/(-50). Let d(s) = -16*s - 45. Let a be d(v). Calculate the common denominator of a*4*1/36 and 34/3.
9
Let l = 2777 - 38805/14. Let t = -29143/1218 - -19/203. Find the common denominator of t and l.
42
Let g(a) = -2*a - 35. Let v be g(-19). Let d(z) = 2*z**3 - 5*z**2 - z - 5. Let r = -64 + 77. What is the smallest common multiple of r and d(v)?
13
Let d(c) = -3*c**3 - 464*c**2 - 320*c - 889. Calculate the smallest common multiple of d(-154) and 3.
2877
Let y = -355 + 500