s the remainder when 18 is divided by p(1)?
4
Suppose 2*n - 32 = -4*s, 3*n - 4*n = -2*s + 8. Let k be (2/(-4) - (-102)/(-12))*-11. Let f = k + -96. What is the remainder when s is divided by f?
0
Suppose 4*a = a + 15. Suppose 0 = -s - 0*n - 5*n + 10, 0 = -a*n. Calculate the remainder when (6/9 - (-151)/3) + -3 is divided by s.
8
Let p = 1 - 124. Let r = p - -132. What is the remainder when r is divided by (-2)/(-1) + 3 + -1?
1
Let h = -40 + 69. What is the remainder when 144 is divided by h?
28
Let l(j) = 2*j**3 - 2*j**2 - j + 1. Let s be l(2). Let k = s + 14. Calculate the remainder when k is divided by 6.
3
Let g(h) = -4*h - 9. What is the remainder when g(-33) is divided by 67?
56
Suppose 2*v + 30 = -3*i, 0*v + 53 = -5*v - 2*i. What is the remainder when (-4)/6 + (-168)/v is divided by 11?
7
Calculate the remainder when 29 is divided by -7 - (-7 + -5 + 1).
1
Let h = 12 - -50. Let d = 71 - 58. Calculate the remainder when h is divided by d.
10
Let v = -409 - -443. Calculate the remainder when v is divided by 24/(-9)*(-9)/2.
10
Calculate the remainder when 166 is divided by (344/24)/(2*1/6).
37
Let v(n) = n**3 + 6*n**2 - 9*n + 13. What is the remainder when v(-6) is divided by 12?
7
Let i = -1414 - -1578. Calculate the remainder when i is divided by 28.
24
Suppose -2*c - 50 - 34 = 0. Let l = 7 - c. Suppose j + 0*j = 5*q + l, 5*q - 9 = -j. What is the remainder when j is divided by 8?
5
Let c = -83 + 129. Let x(d) = -3*d + 6. Let u(z) = -5*z**2 + 2*z + 1. Let o be u(-1). Calculate the remainder when c is divided by x(o).
22
Let q = 889 + -761. What is the remainder when 141 is divided by q?
13
Let k be (-3)/(-3 - (-2 - 0)). Suppose -k*t = -5*t + 42. What is the remainder when 56 is divided by t?
14
Suppose -170*q + 186 = -169*q. Calculate the remainder when q is divided by 27.
24
Let w(l) = -l**2 + 7*l + 2. Suppose -h = h - 4. Suppose 0 = g + h*g - 105. What is the remainder when g is divided by w(5)?
11
Suppose -18 = -c + 61. Suppose -18*u = -17*u - 21. What is the remainder when c is divided by u?
16
Suppose -2*a = a. Suppose a = 2*n - n - 14. Suppose 0 = q + 1 - n. Calculate the remainder when 25 is divided by q.
12
Suppose 3*r = 4*u - 319, -3*r - 253 = -3*u + 2*r. Suppose b - 19 = -5*z, 4*b - u = z - 2*z. Calculate the remainder when b is divided by (0 - 15)*2/(-3).
9
Suppose -2*m + 7*m = -4*x - 4, 0 = x + m. Suppose x = 6*r - 5*r. Calculate the remainder when r is divided by 3.
1
Let p(c) = c + 4. Let u be p(10). Let g(f) = -4 + 0*f + f + u. Calculate the remainder when 8 is divided by g(-5).
3
Let q(m) = 2*m**3 - 6*m**2 + 2*m + 6. Calculate the remainder when 23 is divided by q(3).
11
Let y be (-10)/3*(-3)/(-2). Let i(d) = -12*d + 4. Let b(t) = 24*t - 7. Let g(j) = y*i(j) - 3*b(j). What is the remainder when 48 is divided by g(-1)?
9
Suppose 15 = -5*l + 55. Suppose -12*b + l*b = -48. Suppose -2*r + 2*k = -25 - 73, -4*r = -3*k - 193. Calculate the remainder when r is divided by b.
10
Let z(s) = 0 - 33*s - 2 + 38*s. Calculate the remainder when 27 is divided by z(2).
3
Let h = -190 + 85. Calculate the remainder when 55 is divided by (-6)/(-15)*(-2)/3*h.
27
Calculate the remainder when ((-17)/((-170)/(-16)))/((-4)/820) is divided by 22.
20
Suppose -4*q = -4*c + 584, 2*q + 718 = -9*c + 14*c. What is the remainder when c is divided by 53?
36
Let d = 228 - 191. What is the remainder when 96 is divided by d?
22
Let w = 244 + -166. Calculate the remainder when w is divided by 33.
12
Let l be 1 + -1*(-6 - -3). Suppose -8 = -4*s, -5 = 3*h - l*h + 4*s. Let c(y) = -y**3 + 12*y**2 - 2*y - 50. Calculate the remainder when c(11) is divided by h.
10
Let x = -414 - -450. What is the remainder when 212 is divided by x?
32
Let o be ((-11)/(-22))/((-1)/8). Let j = 8 + o. Let a(z) = 4*z - 4. What is the remainder when 46 is divided by a(j)?
10
Let x be ((-2)/(-4))/((-2)/(-8)). Let w = -358 + 363. Suppose -w*h = -3*h + x, 6 = g + 2*h. What is the remainder when g is divided by 2?
0
Let b be (25 - 5)/(1/4). Let q = -50 + b. What is the remainder when 146 is divided by q?
26
Let u(x) = 4*x - 12. Let l = -120 - -43. What is the remainder when u(8) is divided by 22/l - -1*(-93)/(-7)?
7
Suppose -3 = -3*y, y - 25 = -f - 4*y. Suppose 5*x - f = -4*a + 12, x - 5*a = 18. Calculate the remainder when 31 is divided by x.
7
Suppose 0 = -3*m - 5 - 10. Suppose 0 = -n + 3*j + 2, -5*n + 4*j + 21 = -0*j. Calculate the remainder when 21 is divided by (n/m)/((-2)/22).
10
Let s(m) = -4*m - 4*m + 6*m - m + 5. Let i = 39 + -27. What is the remainder when s(-6) is divided by i?
11
Calculate the remainder when 273 is divided by 5 - (-48 - -9 - 7).
18
Let q be (-9)/(-12) - (0 + (-3)/12). Suppose -5*o = 5*a - 60, -5*a + o + 16 = -62. Calculate the remainder when (q - 42)/(6 - (-4 + 11)) is divided by a.
11
Let d(g) = 24 + 11*g + 6*g - 25. What is the remainder when d(4) is divided by 23?
21
Let j(k) be the second derivative of k**5/20 - k**3/3 + k**2/2 - 5*k. Let f be j(1). Suppose f*b + 19 = b. Calculate the remainder when 56 is divided by b.
18
Let d = 65 + -72. Let h(r) be the second derivative of -5*r**3/6 - r**2 + r. What is the remainder when h(d) is divided by 12?
9
Let f(j) = 6*j - 11. What is the remainder when f(8) is divided by 3*(19/3 + (5 - 7))?
11
Suppose -340 = -11*n + n. Calculate the remainder when n is divided by 12.
10
Let o be (-1 - 40) + 0 + -4. Let h = -32 - o. Let w = 8 + 27. What is the remainder when w is divided by h?
9
Suppose 2*h + 2*y = 11 + 53, 0 = 3*y - 12. Calculate the remainder when ((-278)/(-10))/(1/5) is divided by h.
27
Suppose 5*p + 5 = -5, -3*p = 2*k - 54. What is the remainder when k is divided by 25?
5
Suppose -292 = -287*q + 286*q. Calculate the remainder when q is divided by 42.
40
Suppose -13*a + 493 = -79. What is the remainder when 307 is divided by a?
43
Let f(s) = -s**2 + 15*s - 1. Let d be f(11). Let j = -5 + d. What is the remainder when 111 is divided by j?
35
Let z = -724 - -1320. Calculate the remainder when z is divided by 23.
21
Let z = 487 - 468. Calculate the remainder when 112 is divided by z.
17
What is the remainder when 87 + (2 - 2)/2 is divided by (15/(-4))/((-15)/12 - -1)?
12
Let j be ((1 - -182) + -1)/(8 + -6). Let h = j + -45. Calculate the remainder when h is divided by 13.
7
Let g = 201 + -143. Suppose 0*f - 2*f = 8. What is the remainder when g is divided by ((-21)/4 - f)*-12?
13
Let b(p) = -23*p + 102. Calculate the remainder when (-900)/(-14) + (-2)/7 is divided by b(3).
31
Let n = 28 - 25. Let t = 0 + -1. Calculate the remainder when (t/n)/(1/(-21)) is divided by 4.
3
Let b be (25/5)/((-1)/(-1)). Suppose 0 = b*g + 20, -40 = -5*y + 5*g + 30. What is the remainder when 19 is divided by y?
9
Suppose 295 = 4*v - 2*x + 3*x, -v = -5*x - 100. What is the remainder when v is divided by 26?
23
Let x(t) = -t. Let s be x(-4). Suppose -s*j - 5*d = -336, -j + 5*d = -65 + 6. What is the remainder when j is divided by (-1)/1*(-40)/2?
19
Let g = 32 - 9. Suppose 4*a - l - 20 = -5*l, -2*a - l = -11. Calculate the remainder when g is divided by a.
5
Let r(u) be the second derivative of -47*u**3 + 8*u**2 + 12*u. Let n be r(-4). What is the remainder when (n/110)/(2/5) is divided by 9?
8
Let d(w) = w**3 - 10*w**2 + 11*w - 15. Let u be d(9). Suppose u*s = 2*z - 347, 4*z = 2*s - 7*s + 661. Calculate the remainder when z is divided by 43.
40
Let w = -121 + 127. Suppose -3*q + 42 = 4*b - 9, -5*b + 81 = -2*q. Calculate the remainder when b is divided by w.
3
Let z be (-24)/9*(-27)/(-12). Let h(m) = -7*m + 9. What is the remainder when h(z) is divided by 18?
15
Suppose -t - 4*v = 6 + 3, 3*t + 5*v = -13. Let d = t - -3. Suppose 0 = -4*h + 2*a + 102, -12 = -2*a - d*a. Calculate the remainder when 51 is divided by h.
24
Let a(p) = 11*p - 26. What is the remainder when a(8) is divided by 16?
14
Let w(y) = -y**2 - 77*y + 805. Let p(f) = -10*f**3 + f**2 + f + 1. What is the remainder when w(9) is divided by p(-1)?
9
Let b be (14/(-8) + 2)*0. Suppose -w = -l, 3*l - 8 = -b*l + w. Suppose 0 = l*x - 2*v - 114, -v - 11 = -3*x + 76. Calculate the remainder when x is divided by 8.
6
Suppose 0 = -5*v + 5*g + 550, 130 = v - 47*g + 51*g. What is the remainder when v is divided by 23?
22
Let r(v) = -v - 6. Let g be r(0). Let l be ((-20)/(-30))/((-2)/g). 