10. Calculate the remainder when p(n) is divided by 18.
17
Suppose -3*w = -4*r - 154, -2*r + 3*r = w - 51. What is the remainder when 184 is divided by w?
34
Let t(c) = 3*c**2 + 17*c - 1. What is the remainder when (78 - -1) + (-4 - -4)/5 is divided by t(-7)?
25
Suppose -5*p = 2*f - 6*p - 18, 0 = -f + 3*p - 1. Suppose 15*d - f*d = 92. Let m = -75 + 141. What is the remainder when m is divided by d?
20
Suppose 0 = 3*k + j - 1405, 8*k + 4*j - 2053 = 1691. What is the remainder when k is divided by 43?
39
Let j(k) = 3*k**3 - 10*k**2 + 22*k - 75. Let p = -19 + 32. Calculate the remainder when j(4) is divided by p.
6
Suppose 0 = -4*x - 32 - 0. Let k = 10 + x. Suppose k*n - 4*w = -w + 33, 0 = -3*w - 15. What is the remainder when 43 is divided by n?
7
Let j = -78 - -82. Suppose 0 = -5*h - c + 206, -j*h - 5*c + 4*c = -165. Calculate the remainder when h is divided by 7.
6
Suppose 2*c + 0*c = c. Suppose c = 13*b - 18*b + 105. Calculate the remainder when b is divided by 2*3*4/3.
5
Suppose 811*i = 804*i + 1421. What is the remainder when i is divided by 103?
100
Let s be ((-5)/(-2))/(3/6). Suppose s*l + 5 = 95. Suppose -3*y + 0 = -l. Calculate the remainder when 11 is divided by y.
5
Suppose -5 = w - 19. Suppose -4*n - w + 158 = 0. What is the remainder when n is divided by 13?
10
Suppose -3*m + 2*m + 52 = 2*d, -5*d - 5*m + 130 = 0. What is the remainder when 154 is divided by d?
24
Let r = 135 - 106. Calculate the remainder when 52 is divided by r.
23
Let f = 45 - -54. Let b = f - 66. Suppose 5*c = -4*s + 20 + 48, 0 = 3*s - 6. Calculate the remainder when b is divided by c.
9
Suppose 16 = 4*l - 2*g - 30, -l + 5*g + 16 = 0. What is the remainder when 238 is divided by l?
7
Suppose 0 = 5*s - 4*m - 31, -3 = m + 1. Suppose z + 74 = s*z. Let g = 26 - 16. What is the remainder when z is divided by g?
7
Suppose -4*a + 58 = -2*k, 4*a - 75 = -a + 3*k. Suppose 0 = -11*n + 57 + 328. What is the remainder when n is divided by a?
11
Suppose -11*u + 31*u - 4740 = 0. Calculate the remainder when u is divided by 24.
21
Suppose 5*k = -v + 27, -4*k - 3*v + 31 - 5 = 0. Suppose -k*z = -4 - 166. Let u = -37 - -137. What is the remainder when u is divided by z?
32
Let r be 6/4 - 10/20. Let s be r - -50 - (-2 - 1). Let q = s - -1. Calculate the remainder when q is divided by 19.
17
Suppose 18*u = 20*u - 5*p - 338, -5*p = 3*u - 532. Suppose d = 2*o - 0*o + 12, -4*d - 5*o = -113. Calculate the remainder when u is divided by d.
20
Let o(p) = -p**3 - 12*p**2 + 3. Let n be o(-12). Suppose -h + 212 = n*h. Let s(d) = d - 3. What is the remainder when h is divided by s(14)?
9
Let q(g) = -g**3 - 9*g**2 - 45*g - 397. Suppose -4*d = -5*z - 93, -70 + 7 = -3*d - 3*z. Calculate the remainder when d is divided by q(-9).
6
Let o be (-18)/(-27)*(-3)/(-2). What is the remainder when 53 is divided by 0/(-2) - (-10 + o)?
8
Suppose 5*n = n + 24. Suppose -2*i - 5*t = -31, i = t + 13 + n. What is the remainder when (-16)/6*156/(-8) is divided by i?
16
Suppose -3*h + 13 + 2 = 0. Calculate the remainder when 27 is divided by h/4 + 70/8.
7
Suppose -2*o - 34 = -4. Let i be (43 + -3)*o/12. What is the remainder when 29 is divided by ((-6)/(-10))/((-2)/i)?
14
Let m = 1 - 1. Suppose 0 = -5*o + 3*z + 116 - m, -5*o + 128 = z. Suppose -o = -2*b + 11. What is the remainder when 50 is divided by b?
14
Let b(r) = 2*r**2 + 18*r + 12. Let k be b(-12). What is the remainder when k/22 - (-12)/66 is divided by ((-7)/35)/(2/(-20))?
0
Let u = -33 + 43. Let d(y) = 3*y - y - 2*y + 27*y**2. Calculate the remainder when d(1) is divided by u.
7
Suppose 5*o + 12 = -2*f - f, 0 = 2*f - 2. Let r = o - -8. Let v = 0 + r. What is the remainder when 8 is divided by v?
3
Suppose 977 = -37*y + 3567. Calculate the remainder when y is divided by 41.
29
Suppose 0 = -4*b + 3*x - 0*x + 164, 3*b - 3*x - 126 = 0. Calculate the remainder when b is divided by 13.
12
Calculate the remainder when 226 is divided by (-1)/7 - 23200/(-406).
55
Let r(f) = 26*f - 306. What is the remainder when 10 is divided by r(12)?
4
Let p(w) = 2*w - 8. Suppose 4*y = 7 + 97. Let b = 43 - y. What is the remainder when b is divided by p(7)?
5
Let q(w) = w**3 - 7*w**2 - 8*w - 4. Let k be q(8). Let f = k - -9. Calculate the remainder when 15 is divided by f.
0
Let o = 2723 - 906. Calculate the remainder when o is divided by 35.
32
Suppose 0 = -5*p - 0*p - 35. Let c = p - -26. Calculate the remainder when (-1284)/(-18) + 4/6 is divided by c.
15
Suppose -5*d - 15 = 5*h, 18 - 6 = 2*d - 4*h. Suppose d = -21*w + 16*w + 70. Calculate the remainder when (-8)/3*(-342)/24 is divided by w.
10
Let h(r) = -2*r**2 + 3*r - 10. Let j be h(4). Let p = j - -42. What is the remainder when p is divided by 3?
0
Suppose -r - 5*r + 198 = 0. Suppose -4*f + 2*v + 26 = 0, -f - 3*v = 2*f - r. What is the remainder when 31 is divided by f?
7
Suppose 0 = -14*s + 437 + 25. Let r = s + 12. Calculate the remainder when 132 is divided by r.
42
Let a = 270 + -152. What is the remainder when a is divided by 12?
10
Let i = 3 + 0. Suppose 0 = 4*n - 8. Suppose 0 = i*w - 5*s - 14, n*w = 4*s + 1 + 5. What is the remainder when w is divided by 5?
3
Let m(p) = p**3 - 17*p**2 + 2*p + 2. Let j = 27 - 14. Calculate the remainder when m(17) is divided by j.
10
Let u(q) = -q**2 - 5*q + 14. Let d = 4 - 10. What is the remainder when 20 + (-1 - (-1 - 2)) is divided by u(d)?
6
Let n be (-3)/((18/(-16))/(3/4)). Suppose 205 = n*z + 3*z. What is the remainder when z is divided by 11?
8
Let b(v) = 259*v - 446. What is the remainder when b(2) is divided by 27?
18
Suppose 4*n - 5*d - 484 = -d, -5*n + 3*d = -611. Calculate the remainder when n is divided by 51.
22
Let c(x) = x**2 - x + 50. Calculate the remainder when 240 + 8/(16/14) is divided by c(0).
47
Suppose 0 = -6*x + 38 + 70. What is the remainder when ((-1050)/28)/((-3)/4) is divided by x?
14
Let i(m) = -m**3 + 9*m**2 + 10*m + 7. Let r = 38 - 28. What is the remainder when 41 is divided by i(r)?
6
Suppose 2*u + 0*u - 26 = 0. What is the remainder when 19*(1 + -2)*-2 is divided by u?
12
Suppose 3*w = 5*p - 6, 6*p - 3 = 4*w + p. Suppose z = w*u + 38, -5*z - u = -5*u - 212. Calculate the remainder when z is divided by 12.
8
Calculate the remainder when 94 is divided by (-1)/(-1 - (-483)/490).
24
Suppose -3*n = j - 9, 2*j + 3*n + 0*n - 27 = 0. Calculate the remainder when (-194)/(-4) + 3 + 12/(-8) is divided by 230/j - (-8)/36.
11
Suppose 0 = 2*f - 5*n + 23, -f + 5 = -0*f + 3*n. Suppose -9 = -2*o + 9. Calculate the remainder when 4 + 33 - (-1 - f) is divided by o.
7
Let c(y) be the third derivative of y**6/60 + y**5/60 - y**4/24 - 3*y**3/2 - 29*y**2. What is the remainder when c(3) is divided by 9?
6
Let b(c) be the first derivative of -c**4/4 - 4*c**3 - 25*c**2/2 - 13*c + 21. Let x(k) = 12*k**2 + k. Calculate the remainder when b(-10) is divided by x(1).
11
Suppose -4*u + 4*d + 9 = -15, -2*d = 5*u - 16. Let r(s) = -3 + 5*s - s + 4*s - u*s + 3*s**3 - 4*s**2. What is the remainder when 25 is divided by r(2)?
12
Let s = 31 - 28. What is the remainder when (9/(-1) - -4)*(-15)/s is divided by 7?
4
Suppose 0 = -5*u + 150 + 185. Suppose -2*z - 3*g = 1, -4*g - 8 - 20 = -4*z. What is the remainder when u is divided by (-22)/(-1) + z + -3?
21
Suppose 54 = n + 4*n + 2*m, -44 = -4*n - 2*m. What is the remainder when 148 is divided by n?
8
Suppose -7 - 1 = g. What is the remainder when 44 is divided by -23*((-4)/g - (-6)/(-4))?
21
Suppose -10*c - 40 = -18*c. Suppose 5*o + c*y + 62 - 272 = 0, -189 = -5*o + 2*y. Calculate the remainder when 153 is divided by o.
36
Suppose 0*k = -2*k + 8. Suppose -4*h + 4*i = 100, 3*i - k = 2*i. Let o = 57 - h. Calculate the remainder when o is divided by 20.
18
Let l(h) = -107*h + 400. Calculate the remainder when l(3) is divided by 59.
20
Let w = 57 - 54. What is the remainder when 13 is divided by w?
1
Suppose -10*m - 40 = -15*m. Suppose -m*d + 54 = -82. What is the remainder when d is divided by 3?
2
Suppose -j - 78 = 8*k - 3*k, 0 = j + 3. Suppose 5*r - 419 = 4*g - 1450, 0 = r + 3. What is the remainder when g/10 + k/(-25) is divided by 9?
8
Let d = 36 - 21. Suppose -d*v - 224 = -944. Let p(r) = r**3 + 8*r**2 + 5*r + 3. What is the remainder when v is divided by p(-7)?
14
Suppose -29*x = -25*x + q, -38 = x + 5*q. What is the remainder w