17).
11
Let v(w) = -52*w + 781. Calculate the remainder when 628 is divided by v(13).
103
Suppose 179*n = 178*n + 12. Suppose 0 = y - 4*y + 15. What is the remainder when n is divided by y?
2
Suppose 0 = 6*p + 8 - 224. What is the remainder when 133 is divided by p?
25
Let w be (-2 - (-7)/4)/((-42)/672). Let j(h) = 12*h + 5 - 4 - 3. Calculate the remainder when j(w) is divided by 24.
22
What is the remainder when 70 is divided by (-245)/(-15) + 3/(-9)?
6
Let o(h) = -h + 73. Let b = 54 - 54. Calculate the remainder when o(b) is divided by 37.
36
Let y(x) = -6 - x + 5*x + x + 5*x. What is the remainder when 54 is divided by y(2)?
12
Let w = 810 + -601. Calculate the remainder when w is divided by 30.
29
Suppose 63*p - 62*p - 43 = 0. What is the remainder when p is divided by 12?
7
Let q = -13 - -45. Calculate the remainder when 57 is divided by q.
25
Suppose 5087 = -2*t + 3*i - 0*i, -4*t - 2*i - 10198 = 0. Calculate the remainder when (-1)/((-15)/9) + t/(-20) is divided by 33.
29
Let v = 339 + -74. Calculate the remainder when 108 is divided by (-4)/(-10) + v/25.
9
Suppose 0 = 3*r - 3*q + 9, -7*q + 4*q = -4*r - 7. What is the remainder when 47 is divided by (-1*r)/(-1)*(-9 + 15)?
11
Suppose 4*h - 52 = 3*c + 113, 3*h = 3*c + 126. Let n = h - 34. What is the remainder when n is divided by 2?
1
Let b(h) = -2*h**2 - 16*h + 6. Let z(f) = f. Let n(t) = -b(t) - 6*z(t). Calculate the remainder when 107 is divided by n(-6).
5
Let b be 0 + (-3 - 14/(-4))*6. Calculate the remainder when (-24)/9*b*-1 is divided by 2.
0
Let h = 8 + 160. What is the remainder when h is divided by 19?
16
Suppose -4*o = -v - 34, -v + 0*v = 2*o - 20. Suppose 37 - 12 = 5*t. Let s(g) = g**3 - 7*g**2 + 11*g - 2. Calculate the remainder when o is divided by s(t).
0
Suppose -365*l = -366*l + 45. Calculate the remainder when 128 is divided by l.
38
Let d(v) = -v**3 + 2*v**2 + v - 3. Let p be d(4). Let f = p + 67. Let s = -64 - -74. What is the remainder when f is divided by s?
6
Let q(f) = 5*f**2 + 6. Calculate the remainder when 96 is divided by q(2).
18
Suppose q - 11 = 7. What is the remainder when 17/((3/(-12))/((-6)/8)) is divided by q?
15
Let t = 2278 + -2258. Calculate the remainder when 75 is divided by t.
15
Suppose 5*a + 24 = 449. Let g(y) = -5*y - 13. Let c be g(-3). Let w = 24 - c. What is the remainder when a is divided by w?
19
Let b = -584 + 706. What is the remainder when b is divided by 2?
0
Let c(k) = -7*k**2 + k - 4. Let s(l) = -4*l**2 - 2. Let p(d) = 3*c(d) - 5*s(d). Let m be p(4). What is the remainder when (-248)/(-6) + (-4)/m is divided by 15?
12
Suppose -2*f + 12 = 4*h - 3*f, -4*f = h + 14. Let x(s) = 25*s**2 - s + 1. Calculate the remainder when x(h) is divided by 34.
31
Let x be ((-12)/10)/((-26)/65). Suppose 5*i - 7*j = -8*j + 1174, j = -x*i + 704. What is the remainder when i is divided by 59?
58
Let c(l) = -l + 31. Let d(h) = 4*h**2 + 11*h - 3. Calculate the remainder when c(0) is divided by d(-4).
14
Let b = 1577 - 1325. Calculate the remainder when b is divided by 8.
4
Suppose -2*d + 126 = 144*l - 149*l, -3*d + 178 = -2*l. Calculate the remainder when d is divided by 12.
10
What is the remainder when 524 is divided by 468/195*(-15)/(-3)?
8
Suppose q = -2*q - 2*p + 170, 165 = 3*q + 3*p. What is the remainder when (-10)/(q/531)*(-2)/3 is divided by 12?
11
Let h(l) = 4*l**2 - 21*l - 13. Let f be h(6). Suppose -3*x + 35 = 4*j, 0*x = -5*x + 4*j + f. Calculate the remainder when 16 is divided by x.
1
Let g = 39 + -23. Suppose -x + 21 = -g. Suppose y - 3*t - 42 = -17, 4*y - 40 = -3*t. Calculate the remainder when x is divided by y.
11
Let u = -70 + 152. What is the remainder when u is divided by 23?
13
Let y = 686 + -405. Calculate the remainder when y is divided by 97.
87
Suppose 5*z = 2 + 38. Calculate the remainder when -4 + 15 + (-4)/(-1) is divided by z.
7
Suppose 0 = -17*f + 22 + 63. Suppose -416 = -f*y - 3*l, -4*l = -3*l - 2. Calculate the remainder when y is divided by 29.
24
Suppose -4*b + 4 + 12 = 2*n, 3*b - 4*n = 1. Calculate the remainder when 70 is divided by b.
1
Suppose -7*g + 1206 = 387. What is the remainder when g is divided by 40?
37
Let j(l) = l**2 - 29. Let x(m) = -m. Let o(t) = j(t) + 4*x(t). Calculate the remainder when 4 is divided by o(-4).
1
Let n = 183 - -111. What is the remainder when n is divided by 27?
24
Suppose 19 = -z - 4*f, 6 = -3*z + 4*f + 29. Suppose 0 = 3*v - 2*t - 10, 2*v = -3*v - t + 8. Calculate the remainder when v is divided by z.
0
Let g = -283 - -298. Calculate the remainder when g is divided by 5.
0
Let s(u) = 3*u**2 - 10*u + 20. Calculate the remainder when 194 is divided by s(6).
58
Let u = 41 - 19. Let x = 7 - 12. Let j(b) = -14*b - 6. What is the remainder when j(x) is divided by u?
20
Suppose -a - 14 = -2*j, -3*a = -3*j + 4*j + 7. Suppose -j*c = -157 - 53. Suppose -98 = -5*l - 23. Calculate the remainder when c is divided by l.
12
Let y(k) = 31*k**2 + 7*k + 29. What is the remainder when y(2) is divided by (-2)/((-4)/(-34))*-1?
14
Suppose 5*v = 2*y - 362, 835 = y + 4*y + 5*v. What is the remainder when 351 is divided by y?
9
Let o(b) = 2 - 2 + 69*b - 72*b. Calculate the remainder when 34 is divided by o(-4).
10
Suppose 4*a + p = 630, -a - 2*p + 168 = -7*p. Let i = 240 - a. What is the remainder when i is divided by 22?
16
Let b = 49 + -26. What is the remainder when b is divided by 8?
7
Let r(t) = -t + 1. Let s be r(-11). Suppose -h = -0*h - s. What is the remainder when (1 + -2)*2 - -23 is divided by h?
9
Let k(o) = -4*o + 7. Let r(j) = j - 1. Let n(c) = -2*k(c) - 6*r(c). Let g be n(11). What is the remainder when (7/g)/(1/78) is divided by 10?
9
Let j(b) = -b**2 - 3*b - 2. Let r be j(-2). Suppose -3*t = -5*h + 239, -5*h - 2*t = -r*h - 224. Calculate the remainder when h is divided by (-2)/9 - 146/(-9).
14
Suppose 262 = 4*d + 2*p, -111 = -d - d - 5*p. What is the remainder when d is divided by 2/17 - 2360/(-170)?
12
Let h(v) = v + 28. Calculate the remainder when 38 is divided by h(-12).
6
Suppose 3*i - 5*i = -2. Suppose -5 + 2 = 3*q. Let t = q + 4. Calculate the remainder when t is divided by i.
0
Suppose 12*k + 29*k = 1640. Calculate the remainder when k is divided by 6.
4
Let i(d) = -2*d + 3*d + 3*d - 2 - 3*d. Suppose -105 = y - 6*y. What is the remainder when y is divided by i(8)?
3
Suppose 2*a - 4*b - 10 = -0*b, -5*a + 14 = b. Let d = 5 + a. What is the remainder when 46 is divided by d?
6
Let i(a) = 2*a**3 + 22*a**2 + 17*a - 2. What is the remainder when 51 is divided by i(-10)?
23
Suppose 0 = -11*u + 12*u - 60. Suppose 2*f + 5*z - u = -3*f, -z - 36 = -5*f. Let h = f - -2. What is the remainder when 29 is divided by h?
9
Suppose -11*h - h + 324 = 0. Suppose -4*j - h + 84 = 5*v, -2*j = 2*v - 30. What is the remainder when j is divided by 12?
6
Suppose -98*b + 384 = -94*b. Calculate the remainder when 766 is divided by b.
94
Suppose j + 49 = 51, 5*n + 3*j - 106 = 0. Calculate the remainder when 457 is divided by n.
17
Suppose -2*d + 270 = 5*o, -4*d + 5*d - 5*o - 105 = 0. What is the remainder when d is divided by 13?
8
Let u(q) = -q**3 - 8*q**2 + 2 + q + 2 + 8*q. Let b be u(-9). Suppose -b*z + 2*g + 92 = 6*g, -61 = -2*z + g. What is the remainder when z is divided by 6?
4
Calculate the remainder when 5886/24 - (11/(-4))/(-11) is divided by 43.
30
Suppose -5*a = -8*a - 135. Let b = a - -75. What is the remainder when 119 is divided by b?
29
Suppose -12*h - 5*b = -8*h - 126, -4*h = 3*b - 122. Calculate the remainder when 185 is divided by h.
11
Suppose 0 = -3*o + 335 + 106. What is the remainder when o is divided by 17?
11
Let g(q) = 7*q**2 - q - 1. Let x be g(-1). Suppose 4*d - x = 13. Calculate the remainder when d is divided by 5.
0
What is the remainder when (-1 - (-27)/21)/((-20)/(-23380)) is divided by 7?
5
Let b = 61 - 37. Let a be 7/(b/9 - 3). What is the remainder when (-1449)/a + 1 + -1 is divided by 12?
9
Let v = -1649 - -1663. What is the remainder when 320 is divided by v?
12
Suppose 3*h = 4 + 5. Suppose -2*k + h*k = 15. Calculate the remainder when 71 is divided by k.
11
Suppose 2*a - 800 = -2*r, 20*a + 1200 = 3*r + 18*a. Calculate the remainder when r is divided by 58.
52
Let g = 10 - 4. Let s be g/(6/((-3)/(-1))). Suppose s*m - 2*m - 3 = 0. What is the remainder when m is divided by 1?
0