
100
Let f(h) = 2*h**2 + 2*h + 1. Suppose -17*r + 36 = -8*r. Calculate the lowest common multiple of r and f(-2).
20
Suppose -6*a - 147 = -15. Calculate the common denominator of (a/(-192))/(3/(-9)) and -11/2.
32
Let h be (4 - (-57)/(-15))*(-2 + -795). Suppose 2*r - z = 321, 12 = -2*z + 2. Let f = r + h. Calculate the common denominator of f and 69/2.
10
Let r = -189/2 - -99. Calculate the common denominator of -69/10 and r.
10
Let s be (-135)/(-10)*(-4)/(-6). Let g be (2/(-6) + 0)/((-6)/36). Calculate the lowest common multiple of 20 and (g + -4)/((-3)/s).
60
Let b be (17 + -21)/(2/40). Find the common denominator of -103/22 and (-10)/b + (-10)/48.
132
Let h = -762 + 792. What is the lowest common multiple of 195 and h?
390
Let d = -1045/64 + -11/64. Let q = 9995 + -100029/10. Calculate the common denominator of d and q.
10
Suppose 2*h + 42 = 4*h. Suppose 16*b = h*b - 5. Let g = b - -11. Calculate the smallest common multiple of 16 and g.
48
Let i be (-224)/(-98)*98/12. Let a = i - 560/33. Find the common denominator of a and 4/33.
33
Suppose -3*w + 0*v = -5*v + 11318, 2*v - 8 = 0. Let m = 18666889/8 - 2337132. Let d = m - w. Calculate the common denominator of d and 47/5.
40
Let s be 500/88*38/(-182). Let m = s - 4/143. Calculate the common denominator of -53/4 and m.
28
Calculate the smallest common multiple of 152/5 + 0 + 4/(-10) and 30.
30
Suppose 8*v + 15 = 13*v. What is the smallest common multiple of 6 and (1 - v/5)*10?
12
Suppose 8*b - 321 = -2*q + 5*b, 5*q = -4*b + 785. Calculate the smallest common multiple of q and 21.
1071
Let h be ((-12)/(-54))/(6/(-159)). Let r = h - -40/9. Let c = -208 - -449/2. What is the common denominator of r and c?
18
Let l(u) = 3*u - 76. Let b = 13 - -5. What is the smallest common multiple of b and l(30)?
126
Let t = -54 - -84. Calculate the smallest common multiple of 90 and t.
90
Let h = -6/889 + -42606/9779. Let p be (334/(-8))/((-2)/26). Let d = 537 - p. Find the common denominator of d and h.
44
Calculate the common denominator of -139/54 and (-182)/(-120)*198/63.
270
Calculate the common denominator of -81/16 and (-329)/(-21)*3/(-46)*1.
368
Suppose 4*x - 5 = -r - 16, 4*x + 36 = 4*r. Let l = 29 + -17. Let q = l + -7. What is the least common multiple of r and q?
5
Let d = 4072 + -582291/143. Let i = 2677/1144 + d. Calculate the common denominator of i and -25/12.
24
Let d(v) be the first derivative of 2*v**2 - 19*v - 30. Let a = 9 - 3. What is the lowest common multiple of 5 and d(a)?
5
Suppose 13 = 5*o + 23. What is the common denominator of o/8*1 - 71/12 and 79/4?
12
Let b be (-6)/1359*-6*2. Let s = -7559/3020 + b. What is the common denominator of 11/2 and s?
20
Let l = -2149/2 + 1115. What is the common denominator of l and -101/2?
2
Let a(q) = 7*q**3 - 10*q**2 + 6*q + 9. Let n(o) = -8*o**3 + 11*o**2 - 7*o - 10. Let z(r) = 6*a(r) + 5*n(r). What is the lowest common multiple of 18 and z(4)?
504
Let t be ((-52)/16)/((-1)/12). What is the least common multiple of (-18)/8*(-1 - t/9) and 10?
60
Let h = 14166/13 + -6502064/5967. What is the common denominator of h and -19/408?
3672
Calculate the common denominator of -35/8 and (1/(-2 + 3))/(88/51).
88
Suppose 22*d - 481 = -129. Calculate the lowest common multiple of d and 20.
80
Let h be -1 - (-33 + 2) - 0. Let y(t) = t**3 - 6*t**2 + 3*t - 8. Calculate the lowest common multiple of 27*(-3 - h/(-9)) and y(6).
90
Let f(i) be the third derivative of 11*i**6/30 - i**5/60 + i**3/6 - 13*i**2. What is the smallest common multiple of 40 and f(1)?
440
Suppose 0 = 5*g - 3*g + 14. Calculate the common denominator of -49/10 and (-15)/36 - (4 + g).
60
Let w(u) be the first derivative of 5*u**3 - u**2 - 3*u + 8. Calculate the smallest common multiple of 36 and w(-1).
252
Find the common denominator of (-1947)/59*1/6 and -115/66.
66
Let q(w) = 2*w**2 - 4*w - 3. Let z(h) = 8*h**3 + h**2 - 4*h + 4. What is the lowest common multiple of q(4) and z(1)?
117
Let r = 34763/420 - 1630/21. Find the common denominator of r and -103/172.
860
Suppose 12 = -4*q - 36. Let n be (-1 + q)/1 - 2. What is the smallest common multiple of 10 and 965/75 + (-2)/n?
130
Calculate the common denominator of (-1)/((1 + 21)*7) and 87/8.
616
Calculate the common denominator of 39/392 and (-3813)/(-1320) - (-16)/(-44).
1960
Suppose -3*f - 817 = -2*k - 288, -791 = -3*k + 4*f. Calculate the smallest common multiple of k and 2.
514
What is the lowest common multiple of 118 and 208/(-40)*15/(-6) - 3?
590
Let h be ((-2)/(-6))/(25/525). Suppose 14*s = h*s + 84. Calculate the smallest common multiple of s and 15.
60
Suppose -3 = t, 0 = 5*b - 0*t - 4*t - 67. Let o be 63474/b - (-6)/33. Let q = 5775 - o. What is the common denominator of 11/21 and q?
231
Suppose -2*g + 3 = 2*z - 17, z + 4*g - 13 = 0. Let o = 222 - 198. Calculate the smallest common multiple of o and z.
72
Let j be 13*2 + 0 + 1. Suppose 5*f - j = -2*p, 3*p + 14 - 37 = -4*f. Let a = 9 - f. What is the least common multiple of a and 3?
12
Let i = 53 + -14. Let c = i + -27. Suppose 14*d - c*d = 24. What is the lowest common multiple of d and 18?
36
Let a be (-18)/(-1 + (-255)/(-258)). Suppose 2*b + 0*b = q + 781, 2*q + 3*b = -a. Find the common denominator of q/(-780) - 2/(-13) and -9/4.
20
Suppose 13*h = 138 - 112. Let a = 46 + -26. What is the least common multiple of h and a?
20
Suppose 110 = 4*t + n, -5*t + 29 + 113 = -n. Calculate the lowest common multiple of t and 42.
84
Let k = -364 + 380. What is the least common multiple of 76 and k?
304
Let m = -112204130934065/18000210005442 - 2/15873201063. Let r be (-785)/2916 - (-3)/12. Let f = m - r. Calculate the common denominator of f and -83/8.
56
Suppose -23*g = -5*u - 22*g + 85, -3*u + 49 = -g. What is the smallest common multiple of u and 45?
90
Calculate the smallest common multiple of (-400)/(-35) + 16/28 + -1 and 74.
814
Suppose 33*q - 1504 + 415 = 0. Calculate the least common multiple of 30 and q.
330
Suppose 3*k - a = 71, 3*k - 87 = -4*a + a. Calculate the lowest common multiple of k and 45.
225
Let n(j) = j**2 + 18*j + 13. Let x be n(-17). Calculate the common denominator of 31/7 and ((-1)/x)/(4/198).
56
Find the common denominator of (4/18)/(26/15) and -2 + 6/4 - (-5085)/2430.
351
What is the least common multiple of 24/(-9)*(-240)/64 and 23?
230
Let f = 434411857965/9504872 + 4/1188109. Let c = 45776 - f. Let o = c + -6737/88. What is the common denominator of o and -123/20?
220
Let d = 13733/1272 + 92/159. Find the common denominator of 73/388 and d.
776
Let q(p) = p. Let n be q(1). What is the lowest common multiple of 13*n - (-9 + 6) and (-1 - -6)/(4/8)?
80
Let p = -14 + 59. Find the common denominator of -23/18 and 539/315 - 5/(p/(-2)).
90
Suppose k = -b + 31, -4*k = -k - 15. Find the common denominator of -103/6 and (-4)/b - 500/1144.
66
Suppose 0*n = 4*n - 4. Let p = 12 + -14. What is the smallest common multiple of n*2*(p + 12) and 2?
20
Suppose -5*p + 341 = n - 249, 4*p - 2*n - 472 = 0. Let z = -102 + p. Calculate the lowest common multiple of 8 and z.
16
Calculate the common denominator of 81/44 and 8/(-20) - -39*4/640.
352
Let m be ((-2)/(-302))/(5*3/435). Let r = m + 11837/3624. What is the common denominator of 38/51 and r?
408
Let l = 72/157 + -9362/3297. What is the common denominator of (5 - 3)*196/105 and l?
105
Let f = 2597 + -20825/8. Let j = -12209290/2615349 + -329/5799. Let o = j + -1/451. Calculate the common denominator of o and f.
88
Let h = 56446 + -4233541/75. What is the common denominator of 5/27 and h?
675
Find the common denominator of -31/82 and ((-618)/(-150))/((-8)/10).
820
Let q = 71789/3460 - -3/1730. Calculate the common denominator of q and -16/2227.
8908
Let g(h) = h**2. Let y be g(2). Suppose -y*k = -237 + 21. Calculate the lowest common multiple of k and 22.
594
Suppose 10 = x + 4. Suppose 4*h = 5*k - 52, 4 = -k + 5*h + x. What is the least common multiple of 4 and k?
12
Suppose 13*q + 456 = 51*q. What is the smallest common multiple of 352 and q?
1056
Let y = -785 + 923. Calculate the lowest common multiple of y and 2.
138
Suppose -924*g + 930*g - 24 = 0. Calculate the smallest common multiple of g and 684.
684
Let s = 7199 + -201599/28. Let k = 3633/10 - 365. Find the common denominator of s and k.
140
Let l(b) = -b**3 + 10*b**2 