 remainder when q is divided by 54?
52
Suppose -4*i = -5*z - 735, 5*i - z = -5*z + 888. What is the remainder when 3827/15 - 24/i is divided by 26?
21
Suppose 0 = 170*t - 177*t - 378. Calculate the remainder when 1112 is divided by 1/((1/159)/((-18)/t)).
52
Suppose 37*q - 17*q - 4*q - 14944 = 0. Calculate the remainder when q is divided by 107.
78
Suppose -4*k - 570 = -966. What is the remainder when k is divided by ((-12)/(-5))/((-5)/(-50)) + 2?
21
Suppose -15*l + 66 + 69 = 0. Suppose 0 = -2*g + 5*r + 974, -l*r = -3*g - 7*r + 1439. What is the remainder when g is divided by 96?
93
Suppose -5*s - 5*x + 135 = 0, -19*s + 21*s - 60 = x. Calculate the remainder when 125 is divided by s.
9
Let r = -1295 + 867. Let d = r - -455. Suppose -3*i + 4*i = 13. Calculate the remainder when d is divided by i.
1
Suppose -15 = -5*z, 2*c - 22 - 120 = 4*z. What is the remainder when 104 is divided by c?
27
Let r = -60 - -76. Let s(i) = 3*i**2 - 16*i - 7. Let t be s(5). Let v = t + r. What is the remainder when 23 is divided by v?
3
Let n = -612 + 647. Suppose 0 = -2*t - 4*a + 350, -38*t - 2*a = -n*t - 533. Calculate the remainder when t is divided by 83.
13
Suppose 0 = -2*k - 81 + 91. Calculate the remainder when 97 is divided by ((-12)/k)/(6/(-30)) + -3.
7
Let u be 4*2/(-2) - 58. Let z = u + 64. Suppose 0 = z*m - 10, 5*v + 3*m = -m + 140. What is the remainder when 47 is divided by v?
23
Suppose 5*d - 5*m = 6*d - 27, 3*d + 9 = 3*m. Suppose p - 2*p = d*y + 1, y = 2*p - 13. Calculate the remainder when p is divided by -1 - -3 - 0/5.
1
Calculate the remainder when 1084 is divided by ((-3)/(-12)*-4)/(5/(-65)).
5
What is the remainder when 2/(-5) + (-903)/105 - -572 is divided by 532?
31
Let i(h) = -1029*h**2 + 1026*h**2 - 70*h + 27*h - 37. Calculate the remainder when 187 is divided by i(-12).
46
Let c = 9349 - 9039. What is the remainder when c is divided by 297?
13
Let s = 23 - 16. What is the remainder when (718/18 - (-9)/27) + (-236)/1062 is divided by s?
5
Suppose 0 = -3*n + 4*k + 1747, 5*n = 3*n + 5*k + 1167. Calculate the remainder when n is divided by 44.
9
Let a be (-7)/((-35)/(-55)) - 4. Let h(f) = -f**2 - 23*f - 67. Calculate the remainder when h(a) is divided by 35.
18
Let h = -4894 - -4922. Calculate the remainder when 1492 is divided by h.
8
Calculate the remainder when 855 is divided by ((-2)/(-10) + 243/(-90))/((-74)/444).
0
Suppose 3*k = 5*m + 32209, 0 = m - 6*m - 5*k - 32225. Let y be m/119 - (-2)/14. Let j = -9 - y. Calculate the remainder when 269 is divided by j.
44
Suppose 11*w = -13*w + 54 + 258. What is the remainder when 451 is divided by w?
9
Suppose 13*t - 7*t - 6 = 0. Suppose -4*r - t + 5 = 0, 2*d = -2*r + 44. Calculate the remainder when d is divided by 14.
7
Let p(h) = -3*h - 49. Let b be p(7). What is the remainder when 68 is divided by (126/b)/((-2)/10)?
5
Suppose -8262 = -4*s - 49*t + 44*t, 0 = -2*s + 2*t + 4158. Calculate the remainder when s is divided by 32.
25
Let d be (2 - 3)/(-4 - (-290)/70). What is the remainder when 516 is divided by 7 + (d - 8) + 45?
35
Suppose -13*o + 727 = -378. What is the remainder when 503 is divided by o?
78
Let g = -80 + 60. Let z be (-5 + (-88)/g)/((-2)/10). Suppose -2*l = 3*j + z*l - 88, 0 = 4*l - 8. What is the remainder when j is divided by 9?
8
Let a = -16669 + 16798. Calculate the remainder when 3220 is divided by a.
124
Let z(n) = -2*n - 18. Let q be z(-10). Suppose 0 = 5*b - 25, q*a + 2*b = 39 + 121. What is the remainder when a is divided by 6?
3
Let j(n) = -20*n - 7. Let g be j(-1). Suppose 2*o - 71 = -g. What is the remainder when 84 is divided by o?
26
Suppose 4*t - 2*n = 108, 2*t - 5*n + 6*n = 54. Calculate the remainder when 52 is divided by ((-144)/(-81) - (-2)/9) + t.
23
Let s be 2/(-5)*-1*160/32. What is the remainder when 6*((-28)/(-63))/(s/12) is divided by 3?
1
Let z(w) = 6*w**2 - 6*w - 12. Let r be z(-2). Let c(s) = -6*s + 2*s + r + 6*s. Calculate the remainder when c(0) is divided by 7.
3
Suppose -4*l + 12*t = 15*t - 6677, 2*l = -t + 3339. Calculate the remainder when l is divided by 129.
122
Calculate the remainder when 576 is divided by (-5 - -11) + (319 - 37).
0
Let a be 4/50 - 101952/(-600). Let h = 181 - a. Calculate the remainder when h is divided by 7.
4
Suppose 28 = 12*p + 148. Let c = 78 + p. Let u(v) = v**3 + 7*v**2 + 4*v + 6. What is the remainder when c is divided by u(-6)?
14
Suppose -n - 45*t + 42*t + 245 = 0, 5*n = t + 1241. What is the remainder when 997 is divided by n?
5
Suppose -391 = 8*d - 1351. Calculate the remainder when 135 is divided by d.
15
Let w = -50 - -53. Suppose 4*h - 4*s = -5*s - 227, w*s - 215 = 4*h. Let i = h + 64. Calculate the remainder when 23 is divided by i.
7
Let f(h) = -h**3 - 5*h**2 - 21*h - 130. What is the remainder when f(-7) is divided by 5/(-10) - (-37)/2?
7
Suppose -50 = -2*a - 4*d, 12*a = 7*a - 4*d + 131. Calculate the remainder when 48 is divided by a.
21
Suppose -305 = -5*o + 90. Suppose 88*a - 515 = 1333. Calculate the remainder when o is divided by a.
16
Suppose -5*x + 16 = -3*v, -11*x = -15*x + 5*v + 18. Suppose o = x*j - 197, 4*j - 9*j - o = -482. Calculate the remainder when j is divided by 26.
19
Suppose 0 = 5*z - 4*s - 4397 + 668, 0 = -4*z + 4*s + 2976. What is the remainder when z is divided by 121?
27
Suppose 29 = 2*n - 3*z, 0 = 2*n - 26*z + 21*z - 43. Let c(v) = 3*v**2 + 4*v + 3. Calculate the remainder when c(-4) is divided by n.
3
Calculate the remainder when 841 is divided by (-210)/147 - 50320/(-238).
1
Let n(d) = 89*d - 948. Calculate the remainder when 3378 is divided by n(11).
30
Suppose -93*i = -135*i + 4242. Calculate the remainder when 1281 is divided by i.
69
Suppose 727 = -27*d + 6073. What is the remainder when d is divided by (8/(-6))/(2/(-75))?
48
Suppose -3*j + j + 42 = 0. Let u(d) = d - 2. Let f(x) = -5*x + 3. Let v(m) = -3*f(m) - 6*u(m). What is the remainder when j is divided by v(1)?
9
Suppose -5*u + 2*u = 5*v - 2039, 4*v = 4*u + 1612. Suppose -25*g = 456 - 656. Suppose -v = -g*j + j. Calculate the remainder when j is divided by 30.
28
Let k(p) = -9*p**2 + 139*p + 16. Calculate the remainder when 460 is divided by k(15).
4
Let m(v) = v**3 + 3*v**2 + v + 3. Let w = 23 + -26. Let h be m(w). Suppose h = -3*g - 13 + 142. Calculate the remainder when g is divided by 11.
10
Suppose -4*j + 2*q = -10, -2*q = -4*j + 3*q + 13. Let g be 1/(-3)*(j + 70)/(-3). Suppose 0*x - 88 = -g*x. Calculate the remainder when 32 is divided by x.
10
Let l(z) = z**3 + 34*z**2 + 5*z + 380. Calculate the remainder when 458 is divided by l(-34).
38
Let l(o) be the first derivative of 4*o**3/3 + 75*o**2/2 + 10*o - 80. Calculate the remainder when l(-19) is divided by 16.
13
Let j be ((-2)/3)/((-38)/10089). Suppose g - 5*f - j = -3*g, -216 = -5*g + f. Calculate the remainder when g is divided by 25.
18
Let p(y) = 21*y**2 - 4*y - 4. Let i be p(-1). Suppose -37 = i*f - 331. What is the remainder when 250 is divided by f?
12
Let o = 5715 - 5028. What is the remainder when o is divided by 111?
21
Let y(s) = 7*s**2 + 62*s + 114. Calculate the remainder when 547 is divided by y(-2).
7
Let s = -2178 + 2284. What is the remainder when 306 is divided by s?
94
Let y(v) = -63*v + 69. Let a(p) = 17 - 11*p - 11*p + 6*p. Let h(r) = 9*a(r) - 2*y(r). What is the remainder when h(-4) is divided by 18?
15
Suppose 44 = m - 2*w, w + 6 = -2*m + 99. Calculate the remainder when 1265 is divided by m.
23
Let i(s) = -s**3 - 95*s**2 + 101*s + 540. What is the remainder when 337 is divided by i(-96)?
37
Let u be (1 + -1)/((-9)/(-36)*-4). Suppose 75*v - 84*v + 2997 = u. What is the remainder when v is divided by 86?
75
Let d(b) = -17*b + 76. Suppose -1 = -j, 5*t - 6*t - 11 = -2*j. Calculate the remainder when d(t) is divided by 47.
41
Suppose 3*i = 4*d + 665, -676 - 169 = -4*i - 3*d. Calculate the remainder when i is divided by 17.
11
Suppose -927 - 261 = -11*i. Suppose 0 = -8*g + 182 + 18. Suppose -2*c + 31 = -g. What is the remainder when i is divided by c?
24
Let h(x) = 3*x**2 + 5*x + 2. Let u be h(-2). Suppose 2*j + u*z = 120, 0 = 6*z - 7*z + 5. What is the remainder when 99 is divided by j?
49
Let u = 517 + -160. Suppose 9*p - u = -105. Calculate the remainder when p is divided by 11.
6
Suppose -804 - 4404 = -62*w. Calculate the remainder when w i