1. What is the remainder when p(11) is divided by 5?
3
Let a(y) = y + 27. Let r be a(-23). Suppose 8*c = r*c + 16. Calculate the remainder when 13 is divided by c.
1
Suppose -25*p - 393 + 2718 = 0. Calculate the remainder when p is divided by 42.
9
Suppose 5*h + 4*l = 15, 5*h + 0 = -3*l + 15. Suppose 0 = -a - 3*x + h + 5, -a - x = -4. What is the remainder when a is divided by 1?
0
Let k = 853 - 797. Suppose 0 = -4*c - 13 + 89. Calculate the remainder when k is divided by c.
18
Let b = 210 + -168. Calculate the remainder when 165 is divided by b.
39
Let b(k) = -5*k**3 - k**2 - 2*k - 1. Let t be b(-1). Suppose -160 = 2*f - 2*w - 564, 970 = t*f + 5*w. What is the remainder when f is divided by 20?
18
Let k = 2 - -5. Let i(s) = -s**3 - 9*s**2 - 11*s - 7. What is the remainder when i(-8) is divided by k?
3
Let i(w) = -w**3 + 3*w**2 - 2*w. Let p be i(2). Suppose -2*q = -3*j - 81, -4*j + 147 = -p*q + 3*q. Calculate the remainder when 177 is divided by q.
42
Let c = -921 + 936. Let n(s) = -4*s - 7. Calculate the remainder when n(-7) is divided by c.
6
Calculate the remainder when 59 is divided by 4 - (-1 + -29 + -1).
24
Let d(z) = 4*z - 14 + 5 - 4. Calculate the remainder when d(10) is divided by 14.
13
Let z = -9 + 0. Let w = 11 + z. Let i = w - -10. What is the remainder when 19 is divided by i?
7
Suppose -67*m + 2*v - 278 = -70*m, 0 = 3*m - 3*v - 258. What is the remainder when 626 is divided by m?
86
What is the remainder when 370 is divided by (-27)/6*(-240)/90?
10
Let g = 274 + -229. What is the remainder when g is divided by 29?
16
What is the remainder when ((-129)/(-9))/(1/3) is divided by (13 - 1)*(-15 + 16)?
7
Suppose 0*y = -2*y + 14. Let o(u) = -4 + 14 - 7864*u + 7863*u. What is the remainder when y is divided by o(6)?
3
Let z = 51 - 34. Suppose -q = 5*v + 10, -4*q + 1 = 3*v + 7. Suppose q*m = m - 10. Calculate the remainder when z is divided by m.
7
Let x = -264 + 274. What is the remainder when 77 is divided by x?
7
Let c = -22 - -51. Calculate the remainder when (3015/27 - -4) + (-2)/3 is divided by c.
28
Let r = 0 + 0. Suppose -3*t - a + 31 = 0, -6*a + a = 5*t - 65. Suppose -4*h - 3*u + 50 = r, -2*u = -h - u + t. Calculate the remainder when 21 is divided by h.
10
Let b be 12/2 + (-10 - -6). Let n be (0 - b) + (21 - 4). Let g = n - 7. What is the remainder when g is divided by 5?
3
Calculate the remainder when (-6)/(48/(-10)) + (-3327)/(-4) is divided by 22.
19
Suppose -7*v - 126 = -10*v. Let q = v - 29. What is the remainder when 50 is divided by q?
11
Let i = -27 - -30. Suppose 14 = v - 2*a, -5*a - i + 1 = 3*v. Calculate the remainder when 20 is divided by v.
2
Let d = -818 - -855. What is the remainder when 144 is divided by d?
33
Suppose -s + y + 44 = 3*y, 0 = s + 3*y - 47. Calculate the remainder when s is divided by 3.
2
Suppose 0 = -3*q - 9, 2*u - 5*q - 5 = 28. Suppose 0*v + v = u. Suppose 5*j - 18 = -3*d, 5*j = 4*d - 16 + 62. What is the remainder when v is divided by j?
3
Let i be 12/16*2*6. Let d = 12 - i. Suppose 4*s + 4*k - 52 = 0, d*s - 3*k - 64 = -k. Calculate the remainder when 32 is divided by s.
14
Suppose 0 = -4*t + 2*t - w + 57, 3*t - 58 = 4*w. What is the remainder when t is divided by 9?
8
Suppose -2*o + 268 = -2*y, 0 = o - 4*o - 3*y + 402. What is the remainder when o is divided by 69?
65
Let w = 15 - 6. What is the remainder when 42 is divided by w?
6
Let z = -107 + 280. Suppose 4*p - 341 = 5*u, -2*p + 0*p + z = -3*u. Calculate the remainder when p is divided by 9.
7
Let d = 6 - 4. Suppose 0*x - 2*i - 300 = -x, 0 = d*x - 2*i - 596. What is the remainder when 42 is divided by 2/10 - x/(-20)?
12
Suppose -63*j + 1845 = -22*j. Calculate the remainder when 49 is divided by j.
4
Let h be (-4)/26 + 6/39. Suppose -2*i - 2*i + 36 = h. Suppose -5*z + 136 = -z. Calculate the remainder when z is divided by i.
7
Calculate the remainder when 133/(-63)*39*-3 is divided by 67.
46
Let x be (-79)/(((-1)/3)/(4/12)). Suppose 5*t = -v + x, 0*v - t = v - 71. What is the remainder when v is divided by 14?
13
Let p = 1147 - 1134. Calculate the remainder when 99 is divided by p.
8
Let x = 180 - 7. Suppose 52 = -15*i + 114 + 103. Calculate the remainder when x is divided by i.
8
Let s be -7 - 1/(-3 + 16/6). Calculate the remainder when 83 is divided by 15 + 3*(0 + 1) + s.
13
Suppose -21*r - 14*r + 69895 = 0. Calculate the remainder when r is divided by 25.
22
Suppose 200 = 8*n - 0*n. Suppose -5*i = n, -151 - 67 = -3*x + i. Calculate the remainder when x is divided by 24.
23
Let t(q) = -q**3 + q**2 + 273*q + 21. What is the remainder when t(17) is divided by (-1)/(-2) - (-29)/2?
8
Suppose -2*c = 2*c - 12. Suppose -5*n + 90 = 2*g + 2*g, 4*g = -4*n + 92. Calculate the remainder when g is divided by c.
1
Calculate the remainder when (-1)/((-20)/6548) + (-4)/10 is divided by 66.
63
Let a(c) = 194*c**2 + 141*c + 285. What is the remainder when a(-2) is divided by 11?
9
Let b(w) = 5*w - 7. Let p be b(8). Let c = -21 + p. Calculate the remainder when c is divided by 8.
4
Let q(r) = -r**3 + 8*r**2 - 6*r - 10. Let x be q(7). Calculate the remainder when (-137)/x + 40/(-15) + 2 is divided by 8.
5
Let n(i) = i**2 - 8. Suppose -3*j - 5*q + 36 = 0, 0 = 5*j - q - q - 29. Suppose -220 = -j*o + 5*o. Calculate the remainder when o is divided by n(6).
26
Suppose 51*x + 100 = 56*x. What is the remainder when 255 is divided by x?
15
What is the remainder when 493 is divided by 124/(-3)*36/(-24)?
59
Let w(t) = -1 - 3*t + 3*t**2 + 0*t**3 + 4 + t**3. Let h be w(-4). What is the remainder when ((-4)/h - 4) + 46 is divided by 17?
12
Suppose -2*w - 4*x + 94 = -26, 4*w + 4*x - 224 = 0. Let h = w - 30. Calculate the remainder when h is divided by 2.
0
Let l = 187 + -361. Let g = l - -292. What is the remainder when g is divided by 17?
16
Suppose -3*a - 2*v = -164, 5*a + 0*v - 282 = v. Calculate the remainder when a is divided by 30.
26
Let g(x) = -96*x - 1. Let t = -47 + 46. What is the remainder when g(t) is divided by 8?
7
Suppose -28*x + 1247 = x. Calculate the remainder when x is divided by 4.
3
Let w(i) be the first derivative of 4*i**3 - 3*i**2 + 3*i - 10. What is the remainder when w(2) is divided by 10?
9
Suppose 3*p - 3*y - 3 = 0, 0 = 5*y - y - 16. Calculate the remainder when 14 is divided by p.
4
Let r(p) = -p + 1. Let k(f) = f**2 + 2*f + 20. Let m(b) = k(b) - 5*r(b). Suppose 170 = 6*t - 82. Calculate the remainder when t is divided by m(-6).
6
Suppose -5*o + 32 = -0*a + a, -3*a = 5*o - 126. Calculate the remainder when 234 is divided by a.
46
Suppose -3*m = 2*m - 10, -2*c - 5*m + 504 = 0. Suppose 0 = 2*k + k + 4*w - c, k - 2*w = 89. Calculate the remainder when k is divided by 23.
16
Let x = 566 + -525. What is the remainder when x is divided by 9?
5
Let z(l) = -l**3 - 6*l**2 + 8*l + 9. Let i be z(-7). Calculate the remainder when (-584)/(-16) + 1/i is divided by 13.
11
Let b = -36 - -52. Suppose 3*z + 18 = d, 16 = 3*d - z + 2. Suppose d*l - 91 = -b. What is the remainder when l is divided by 14?
11
Suppose 38 - 10 = -4*b. Let u(l) = l**3 + 10*l**2 - 9. What is the remainder when u(b) is divided by 20?
18
Let r(c) = c**2 + 2*c + 1. Let o be r(-4). Suppose v = -3*v + 3*k - 6, 4*k = 4*v + 8. Suppose n - o + 2 = v. Calculate the remainder when 25 is divided by n.
4
Let c = 371 - 353. What is the remainder when c is divided by 2?
0
Let r(x) = x**3 - 5*x**2 + 10*x - 7. Suppose 0 = -3*v - 4*q + 31, -q = 5*v - 0*v - 29. Calculate the remainder when r(v) is divided by 11.
10
Let q(m) = 13*m - 1. Let t(n) = n**3 + 5*n**2 + 2*n - 5. Let s be t(-4). What is the remainder when s - ((-44)/2 - -2) is divided by q(1)?
11
Suppose 5*d + 106 = 3*w, -d = -3*w + 3*d + 107. Calculate the remainder when 66 is divided by w.
29
Suppose 5*b - 272 = 6*b. Calculate the remainder when (-18)/81 + b/(-9) is divided by 9.
3
Let o(v) = -18*v - 92. Calculate the remainder when 44 is divided by o(-6).
12
Suppose 0 = r - 2*r - 76. Let j = -66 - r. What is the remainder when 28 is divided by j?
8
Let v(w) = -w**2 + 15*w - 4. What is the remainder when 35 is divided by v(14)?
5
Let y = 59 + -54. Suppose -1 = s, y*l - 5*s - 47 = 3. What is the remainder when 32 is divided by l?
5
Suppose 0 = -357*v + 360*v - 75. Calculate the remainder when 298 is divided by v.
23
Let u = 15603 + -15585