3*n = z*n. Suppose n = -6*a + 319 - 67. What is the remainder when a is divided by 11?
9
Let m be ((-36)/(-8))/(28/392). Let o = -130 + 81. Let k = o + m. Calculate the remainder when 14 is divided by k.
0
Let m = -19089 - -19317. Calculate the remainder when m is divided by 21.
18
Suppose 18594 = 160*t - 446. What is the remainder when 1656 is divided by t?
109
Let n = -15948 + 16103. What is the remainder when 215 is divided by n?
60
Suppose 60*d - 108 = 13*d + 43*d. Let i be (-4)/4 - 2*-1. Calculate the remainder when d is divided by i/(2 - 81/42).
13
Suppose -7*i + 578 = 221. Suppose 10*h - 44 = 56. What is the remainder when i is divided by (81/(-6))/((-5)/h)?
24
Let d(x) = -26*x + 1977. Calculate the remainder when d(73) is divided by 27.
25
Suppose -3*c - 247 = 464. Let r = 244 + c. Calculate the remainder when 33 is divided by r.
5
Let k = 16403 - 15730. Calculate the remainder when k is divided by 276.
121
Suppose -11*b + 34*b - 265 = 18*b. What is the remainder when 1074 is divided by b?
14
What is the remainder when 878 is divided by (-11 - 513/(-45)) + 1/(20/17452)?
5
Suppose 0 = -42*h + 44*h - 142. Calculate the remainder when 395 is divided by h.
40
Let s = 160 + -82. Suppose 13*f - 47*f + 544 = 0. What is the remainder when s is divided by f?
14
Suppose -2*k = -196 + 12. Suppose -4*j + 120 = 3*m, 10*j - 30 = 9*j + 5*m. Suppose 35*t - j*t - 80 = 0. Calculate the remainder when k is divided by t.
12
Suppose 0 = s + 2, 8*s = 4*r + 7*s - 22. Calculate the remainder when 292 is divided by r.
2
Let j(p) = -12 - p - p + 0*p + 9. Let z be j(-9). Let n = z - -31. What is the remainder when 89 is divided by n?
43
Let d be ((-2)/5 - 32/(-5))*70. Let f = d - 333. What is the remainder when f is divided by 18?
15
Suppose -5*f + 6 + 14 = 0. Suppose 133 = f*n - 619. Suppose -n = -s - 3*s. Calculate the remainder when 138 is divided by s.
44
Let k = -55 - -98. Let l = -413102 - -413301. What is the remainder when l is divided by k?
27
Let u be (3150/(-504))/(1/(-4)*1). Let c(f) = f**3 - 25*f**2 + 17*f - 86. Calculate the remainder when c(u) is divided by 31.
29
Let j = 26 - 26. Suppose -6*o - 10 = -28. Calculate the remainder when j + (-40)/12*-3 is divided by o.
1
Let k be 0 - (6 + 2)*-1. Let x(l) = l**3 - 10*l**2 + 12*l + 61. Calculate the remainder when 460 is divided by x(k).
25
Let n be (-20)/(-8) - (-5199)/6. Suppose 0 = -4*v - 2*g + 692, 0 = -4*v - 3*g - 181 + n. Calculate the remainder when v is divided by 1*(-188)/(-12)*3 - 2.
40
Suppose -v = -j + 291, 2*j - 95 = 3*v + 490. Calculate the remainder when j is divided by 74.
66
Suppose -10915*g - 52540 = -10989*g. Calculate the remainder when g is divided by 649.
61
Let q = -38 + 44. What is the remainder when 1*8 + ((-6)/q - -5) is divided by 3?
0
Suppose 115*o = 4*o - 14*o + 133500. Calculate the remainder when o is divided by 139.
95
Suppose 0 = 5*q - 20 - 10. Suppose k + 130 = 2*h, 4*h - k - 3*k - 252 = 0. Let j = h + -63. Calculate the remainder when q is divided by j.
2
Suppose 2944 + 1645 = 264*l + 365. What is the remainder when 2287 is divided by l?
15
Let g be (-1 - 0)/4 + (-924)/(-112). Suppose -g*o = o - 333. Calculate the remainder when 147 is divided by o.
36
What is the remainder when ((-684)/15)/(7*4/(-70)) is divided by (-616)/(-49) - (-9)/21?
10
Suppose -2*x + 103 = 3*n, 0 = 3*x + 5*n - 78 - 76. Suppose -2*z - 4*b + 748 = 0, -115*z - 2*b - 1834 = -120*z. What is the remainder when z is divided by x?
50
Suppose 0 = 2*g - 42 + 2. Let m be g + -3 + 2 - -4. Let s = 52 - m. What is the remainder when s is divided by 16?
13
Suppose -5*u - l + 1492 + 41 = 0, -2*u + 621 = 3*l. Let t = 452 - u. What is the remainder when t is divided by 22?
14
Suppose -5*w + 70 = 10. Calculate the remainder when 4138 is divided by w.
10
Let u = -14101 - -14602. What is the remainder when 1507 is divided by u?
4
Let c(v) = -20*v - 5. Suppose 30*t = 29*t - 1. Let d be c(t). Let o(l) = -l**3 + 14*l**2 + 16*l + 12. What is the remainder when 105 is divided by o(d)?
24
Let a = -18064 + 18116. What is the remainder when 76 is divided by a?
24
Let j be 38*(3 + (13 - (-1)/(-1))). Suppose 0 = 16*i - 38 - j. Calculate the remainder when i is divided by (-2)/(-10) - 256/(-20).
12
Suppose -9*f - 319 = 716. Calculate the remainder when 31 is divided by (8 - 3)/(-25)*f.
8
Let k = -447 + 452. Suppose k*p = -2*g + 250, -4*p + g + 200 = 5*g. What is the remainder when 137 is divided by p?
37
Let f(h) = -h**3 + 4*h**2 + 9*h. Suppose 202 = 2*q + 50. Calculate the remainder when q is divided by f(5).
16
Let m(r) = -r**2 + 5*r + 3. Let c be (-209)/(-44) - (-1)/(-4)*3. Let n be m(c). Suppose n*o = 100 + 796. What is the remainder when o is divided by 43?
42
Let s be 0/((-3)/(-1) - 1). Suppose s = -16*d + 19*d - 21. Calculate the remainder when 19 is divided by d.
5
Let s be 3 + 291/(-3)*-1. What is the remainder when 19 is divided by (s/125)/((-2)/(-25))?
9
Suppose -o - 2 = y - 6, 5*o = -3*y + 8. Let j(u) be the second derivative of 9*u**3/2 - 19*u**2/2 - u + 312. Calculate the remainder when j(y) is divided by 29.
27
Let p = -8 + 28. Suppose 9 = -7*g + 149. What is the remainder when 1215/33 + g/110 is divided by p?
17
Let o(k) = 19*k**2 - 7*k - 54. Calculate the remainder when o(7) is divided by 173.
136
Let s(w) = w**2 + 64*w - 1023. Let q(f) = -f + 4. What is the remainder when s(24) is divided by q(-9)?
10
Suppose u - d - 39 = d, -5*d + 150 = 3*u. Suppose -75*x + 84804 = -210*x + 899*x. Calculate the remainder when x is divided by u.
21
Let y = -24 + 28. Suppose y*v - 36 = -d, -6*d = -3*d - 5*v - 40. What is the remainder when 5 is divided by (-5)/d + (-2 - (-17)/4)?
1
Let z(h) = -2*h**2 + 102*h + 115. Calculate the remainder when 5000 is divided by z(52).
6
Suppose -11*k - 57 - 141 = 0. Calculate the remainder when 37 is divided by (8 + k)/(-5) + 21.
14
Suppose 3*y + 6 = y, 2*y - 198 = -4*b. Let j be -3*116/12*-1. Suppose -z - 4*t + 6*t = -19, -z + j = -4*t. Calculate the remainder when b is divided by z.
6
Let t be 4 + 5 + 0 + 1. Suppose 4*w + t = 2*i - i, -4*i - 3*w + 21 = 0. Calculate the remainder when 6 is divided by i.
0
Let s = 46 + -32. Suppose 14*d - 1274 - s = 0. Let h = d + 27. Calculate the remainder when h is divided by 24.
23
Let t be (1552/6)/(14/84). Suppose -16*n = -t - 512. Calculate the remainder when n is divided by 27.
21
Suppose -55*z = -3822 - 83. What is the remainder when z is divided by 63?
8
Suppose 94*v - 465 = 97*v. Let s = v + 168. What is the remainder when 63 is divided by s?
11
Let l be (1 - 2 - -6) + 182. Let v(j) = -j**3 + 6*j**2 - 2*j + 1. Calculate the remainder when -3 + l + (1 - -5) is divided by v(5).
14
Let q(k) be the third derivative of k**6/120 - 4*k**5/15 + 41*k**4/24 + 29*k**3/6 + 3*k**2. Calculate the remainder when 274 is divided by q(13).
54
Suppose -44 = -q + 38. Let r(g) = 5*g**3 - 21*g**2 + 5*g + 8. What is the remainder when q is divided by r(4)?
10
Suppose -13 - 42 = -2*d - 5*c, -2*c - 20 = -2*d. Let i(h) = h**2 + h - 15. Let a = -30 - -23. What is the remainder when i(a) is divided by d?
12
Let x(s) = 188*s**2 + 83*s + 321. Calculate the remainder when x(-4) is divided by 177.
165
Let p(i) = 5*i**2 - 24*i - 174. Calculate the remainder when 5095 is divided by p(-6).
145
Suppose 854 = 709*k - 702*k. What is the remainder when k is divided by 5 + 3*60/9?
22
Let k(s) = s**3 + 4*s**2 - 2*s - 1. What is the remainder when (-108)/14*(7 + (-221)/34 + -4) is divided by k(-4)?
6
Let f(l) = -11*l + 8. Let n be f(10). Let j(t) = -t**3 + 14*t**2 - 3*t + 48. Calculate the remainder when (n/15)/(8/(-20)) is divided by j(14).
5
Let p(n) = 3*n**2 + 121*n - 474. Calculate the remainder when 1875 is divided by p(-44).
5
Suppose 42*x + 65 = 989. Let m be 95 + 0 - 1/1. Let w = m - 53. Calculate the remainder when w is divided by x.
19
Suppose -5 = 2*n - 3, -3*o + 3*n - 552 = 0. Let a = o + 244. Calculate the remainder when a is divided by 17.
8
Let o(x) = 23*x**2 + 1462*x - 2929. Suppose -3*u + 73 - 16 = 0. Calculate the remainder when o(2) is divided by u.
11
Let m(k) = -k + 28. Suppose 2*y - 23 = -3*o, 0 = 2*o - 5*y - 4 + 14. Calculate the remainder when m(o) is divided by 4.
3
Suppose -3*m = -9*j + 11*j - 1230, -3*j - 4*m + 1846 = 0. What is the remainder when j is divi