
28
Suppose 3880482 = 84*k - 84150. Calculate the lowest common multiple of k and 20.
471980
Suppose 3*z = -71 + 23. Let a(h) = 2*h**2 + 31*h - 9. Let r be a(z). Calculate the common denominator of -21 and ((-6545)/300)/r - (-1)/5.
12
Let x = 4058 + -4042. Let l(i) = -i**2 - 11*i - 13. Calculate the smallest common multiple of l(-9) and x.
80
Suppose -381 = -10*j + 7*j + 3*l, 15 = 3*l. What is the lowest common multiple of 60 and j?
660
Let q = 23 - 9. Suppose -418 = -3*z - 4*m, 2*z + 416 = 5*z + 2*m. Let j = z - 124. Calculate the lowest common multiple of j and q.
14
Suppose -17 - 1 = -9*d. Suppose -d*n = -v - 1792, -10 = -v + 6*v. Find the common denominator of 89/2 and 6/10 - n/75.
6
Let s be 626/(-8)*(-2)/2. Let m = -83 + s. Find the common denominator of -47/196 and m.
196
Let a(y) = 3*y**2 - 11*y - 22. Let n(q) = -5*q - 28. What is the least common multiple of n(-12) and a(7)?
96
Let f(t) = -5453*t + 52. Let k be f(-6). Let j = k + -27395715/836. Let z = -14339/3762 + j. Find the common denominator of -45/22 and z.
396
Suppose -4*c = d - 25, -d + 5*d = c + 15. Suppose -d*f + 6 = -3*g, 5*f + 0*f = -4*g + 27. Find the common denominator of (-2)/f + (-4511)/(-390) and 52/11.
110
Suppose 10*r + 177 = 13*r. What is the common denominator of (-21)/84 + 3/((-180)/r) and 74/27?
270
Suppose 4*f - 28 + 1 = -5*t, 0 = -4*f + t + 9. Suppose 216 = 5*p + f*p. Calculate the smallest common multiple of p and 15*(0 + 0 - -1).
135
Suppose 0 = -w + 4*w + 5*v - 12, -3*v + 8 = 2*w. Suppose -5*k = 2*d - 44 - 17, 0 = w*k + 5*d - 59. What is the least common multiple of 34 and k?
374
Suppose -4134 = -2*u + 2*m, 476*u - 471*u = -2*m + 10356. Calculate the least common multiple of u and 55.
22770
Suppose -2*o + 6 = z, -4*z = -o - 36 - 6. Find the common denominator of (-1500)/72 - (35/(-10) - -4) and (-4)/z - (-251)/(-35).
21
Let n be 65/13 + 0 - -13. Let f = -13 - -3. Let r = n + f. What is the lowest common multiple of 36 and r?
72
Let s(a) = -10 - 5*a + 11*a - 3*a - a. Let r be s(6). Calculate the common denominator of -19/24 and (5 - r)/(12/(-69)).
24
Let k = -223 + 224. Let q = 19 - 15. Suppose q*h = 8*h - 20. Calculate the lowest common multiple of h and k.
5
Find the common denominator of ((-12)/9)/((-2356)/(-372)) and 6/7.
133
Suppose 135*r = 139*r - 180. What is the common denominator of ((-1)/r)/((-6)/(-1557)) and 1*(4 + -2)/(-42)?
210
Let y be (-6)/(-9) + (-2509)/276. Let j = y + 27/23. Calculate the common denominator of j and 47/(-8366)*44/(-1).
356
Let a = 54/3205 - 145847/6563840. Find the common denominator of -71/20 and a.
10240
Let o = -247 - -251. Suppose -7*f + 8*f + 3*a - 29 = 0, -o*f - 5*a = -130. What is the lowest common multiple of f and 70?
70
Let m(g) = -51*g + 221. Let p be m(18). Let v = p - -25151/36. Find the common denominator of -23/8 and v.
72
Let h = 129 + -126. Suppose 0 = -4*n + h*d - 57 + 189, 0 = n + 2*d - 22. Calculate the smallest common multiple of n and 27.
270
Suppose 1809 + 2772 = 9*s. Suppose -14*k = -s - 51. Calculate the smallest common multiple of k and 50.
200
Let l = -1948 + 1973. What is the least common multiple of 10 and l?
50
Let p = -106 + 491. What is the smallest common multiple of 90 and -7 - -1*p/5?
630
Let j = -2499 + 2509. Calculate the smallest common multiple of 14 and j.
70
Let t be ((-9)/12)/(9/(-48)). Calculate the common denominator of t/(-38) + 40441/16872 and (-1)/3 + 161/(-12).
24
Let s = 1822967/19270 + -5/3854. Let g = s + -1121/10. Find the common denominator of -85/22 and g.
22
Let w(o) = -5*o - 4. Suppose -3*p - 44 = p. Let f(k) = -15*k - 12. Let v(x) = p*w(x) + 4*f(x). Calculate the least common multiple of v(-2) and 3.
6
Suppose -4*l = u - 1557, 3*u - 4689 = 25*l - 28*l. What is the least common multiple of 5 and u?
1565
Let i = 38461307/58440 + -9872/15. Let k = -33655/607776 - i. Calculate the common denominator of 73/8 and k.
416
Let d = -166 - -283. Find the common denominator of 33 and 182/64 + (d/12 - 10).
32
Suppose -26485 = 18*y - 71*y - 8200. Calculate the least common multiple of y and 110.
7590
Let l(f) = 5*f**2 + 361*f + 78. Calculate the lowest common multiple of l(-72) and 3936.
3936
What is the common denominator of -17/77 and 283/(-44) + 3/5*10?
308
Suppose 43*d - 197 = 491. Calculate the least common multiple of 1536 and d.
1536
Let o(t) = 3*t**2 + 2*t. Let v(j) = -33*j - 389. What is the least common multiple of v(-13) and o(-2)?
40
Suppose -633*l + 628*l = 0. Suppose -12*t + 7168 - 1660 = l. Calculate the smallest common multiple of 24 and t.
3672
Let j be (-2169194)/192 + 65/52. Let c = 11297 + j. What is the common denominator of 89/32 and c?
96
Suppose -5*v = 5*j + 10, j - 5 = 5*j + 3*v. Let m(s) = -2*s**3 + 2*s**2 - 3*s + 1. Let b be m(j). Find the common denominator of -37/14 and (-1)/b - 108/(-516).
602
Let q be 894*4/(-176)*59. Let u = -1199 - q. Calculate the common denominator of u and -31/108.
1188
Calculate the common denominator of 11/560 and 11224/1525 - (5 + -2 + 4).
2800
Find the common denominator of 77/172 and (-121)/(-172) - ((-79)/4 + (201 - 181)).
172
Suppose -3*g + 4 = -2*n + g, 2*g - 4 = 0. Suppose f + 164 + 29 = 5*i, -n*i + 3*f = -72. What is the lowest common multiple of i and 26?
78
What is the lowest common multiple of 60 and 1/(-2) + (-10)/(-4) + (-65682)/(-41)?
24060
Let w = 4/987 - 45446/10857. Let o be 38/399*3/(-503). Let l = o - 341525/21126. Find the common denominator of l and w.
66
Let v = -23892 + 430003/18. Find the common denominator of (-302)/180 + (-2)/(-3) and v.
90
Let g = -21247 - -275649/13. Let d = g - -4373/78. What is the common denominator of d and -1/33?
66
Suppose -5*i - 10*z = -9*z - 235, 2*i - 4*z - 72 = 0. Suppose 7*h = 277 - i. What is the lowest common multiple of 3 and h?
33
Let f(s) = 4*s + 15. Let j be -3 - 0*(-5 - -4). Let u be f(j). Suppose -2*g + u - 23 = -3*d, 2*g = -2*d. Calculate the least common multiple of d and 38.
76
Let j(m) = -1795771*m**2 + 4*m + 14. Let a be j(6). Let r = a - -12800208109/198. Let p = 2232/11 + r. Calculate the common denominator of -51/2 and p.
18
Let g = 1 + 1. Suppose 0*q + 28 = g*q. Suppose -58 = -3*b - 5*a - 6, -184 = -13*b - a. What is the least common multiple of q and b?
14
Let w = -6481/826 + -9/826. Suppose 6*v - 5*v = 12. Calculate the common denominator of w and 99/v*(-6 - -3).
28
Let f = -9 - -17. Suppose -2*o + o + 4 = -3*d, 0 = 3*o + d - 12. Suppose 0 = o*q + 22 - 30. Calculate the least common multiple of q and f.
8
Let l be (4/(-94))/(44/10). Let b = 11981/9306 + l. Let i = 346463/14 + -24753. Calculate the common denominator of i and b.
126
Calculate the common denominator of 101/(-1824)*70 - ((-30 - 8) + 34) and 109/18.
2736
Suppose -1065*q + 224 = -1051*q. What is the smallest common multiple of 164 and q?
656
Suppose 4*a - 23 - 49 = 0. Suppose -87*r - 65 = -114 - 125. Calculate the least common multiple of a and r.
18
What is the common denominator of 49/(-7 - 0) - (-28780)/4116 and 29/294?
2058
Let h be (-1 - -37)*(-428)/462. Let u = 26819/7 - 3866. Let n = u - h. Calculate the common denominator of n and -40/3.
33
Suppose 0 = 2*b - 4*k + 84, b + b = -3*k - 56. Calculate the least common multiple of b/(-68)*(0 - -50) and 50.
50
Let t = 258454 - 158949158/615. Find the common denominator of t and 82/15.
615
Let c(r) = -r**3 + 35*r**2 - 214*r - 44. What is the lowest common multiple of 2040 and c(9)?
2040
Let h = 77120 - 4010233/52. Let t = 18204 - -1001. Let k = 345817/18 - t. Find the common denominator of h and k.
468
Suppose 2*k - 121 = 5*x, 2*x = -5*k - 79 + 309. Suppose 5*v - 292 = -2*z, -3*v + 7*z + 188 = 5*z. What is the lowest common multiple of v and k?
240
Let f = -78 + 100. Let l(c) = 2*c - 40. What is the lowest common multiple of 0 - (-2 - -3) - -20 and l(f)?
76
Suppose 2*n - 90*w - 184 = -89*w, 2*n - 6*w = 184. Calculate the lowest common multiple of n and 68.
1564
Let t = 27 - -3. Let f(q) = q**3 + 57*q**2 + 42*q - 745. What is the smallest common multiple of t and f(-56)?
390
Let s be 32/(-2) + 6/3. Find the common denominator of (-191)/60 + s/84 and (-153)/4 - 1/4.
20
Let y = 21995 + -1407629/64. Let q = -213/58 + -9/116. Calculate the common denominator of y and q.
64
Let t = 1109 - 1061. Suppose -s - 8 = -56. What is the least common mu