ppose 99 = 41*p - 311. Calculate the remainder when 309 is divided by p.
9
Suppose -4*d - 76 = -8*d. Suppose -2*h - 280 = -7*h. What is the remainder when h is divided by d?
18
Calculate the remainder when 369 is divided by ((-248)/20)/((-10)/(-25))*-2.
59
Let v(i) = i**3 - 13*i**2 - 20*i + 5. Let b be v(14). Let c(t) = -t**3 - 5*t**2 - 2*t - 7. What is the remainder when 2/20 + b/(-10) is divided by c(-5)?
2
Let k(a) = a**3 + 9*a**2 + 3. Let s be k(-9). Let j be -2*(-1 + 3) + s. What is the remainder when 54 is divided by 192/12 - (-2 + j)?
16
Suppose 5*u - 344 = -3*h, 5*u - h = 85 + 267. What is the remainder when u is divided by 24?
22
Let q(b) = -b**3 - 9*b**2 - 8*b + 2. Let g be q(-8). Suppose 0 = -g*s - 3*l + 70, 4*s - 144 = -3*l - 2*l. Calculate the remainder when s is divided by 23.
18
Suppose 3*f + 4 = 43. Let c = 27 - f. What is the remainder when 37 is divided by c?
9
Let g(q) = -27*q - 1. Suppose 5*j + 120 = 3*a, -j - 5 = -2. Suppose a = -12*c + 17*c. What is the remainder when g(-1) is divided by c?
5
Let c = -31 - -21. Let a be 7/(14/6) - c. Let m(q) = q**3 - 13*q**2 + q + 15. What is the remainder when 111 is divided by m(a)?
27
Let v = -858 + 906. Calculate the remainder when 190 is divided by v.
46
What is the remainder when 41 is divided by -6 - (-8 - -7 - 31)?
15
Let v(l) = 4*l - 14. Let x be v(4). Suppose q + x*q = 4*f + 4, 12 = 2*q + 2*f. Calculate the remainder when 34 is divided by q.
2
Calculate the remainder when 81 is divided by (8 + 36)*2/4.
15
Suppose -11*z = -7*z - 5*o - 14, z - 14 = -4*o. Suppose -16*c + 520 = -z*c. Calculate the remainder when c is divided by 11.
8
Let n(a) = a + 1. Let w(c) = 2*c - 1. Let h(y) = 2*n(y) + w(y). What is the remainder when 25 is divided by h(3)?
12
Calculate the remainder when ((-180)/(-14))/(135/42 + -3) is divided by 9.
6
Calculate the remainder when (-3)/(-1)*(-129)/(-9) is divided by 23.
20
Suppose 2*w = -2, -5*t - 3*w - 27 = -w. Let o(m) = 7*m**2 + 21*m + 4. What is the remainder when o(t) is divided by 27?
20
Suppose 8*x - 28*x + 880 = 0. What is the remainder when 174 is divided by x?
42
Calculate the remainder when 8/(-56) - 956/(-28) is divided by 18.
16
Let l = 38 + -37. What is the remainder when l/(-9) + (-728)/(-72) is divided by 8?
2
Suppose -3*p - y + 36 = 0, -4*y - 48 = -3*p - 9*y. Suppose 0 = p*r - 3*r - 312. Calculate the remainder when r is divided by 21.
18
Suppose -192 = -4*p - 112. Suppose -k + p = g, 2*k - 5*k + 35 = 2*g. What is the remainder when 147 is divided by g?
22
Let l(y) = y**2 - 3. What is the remainder when l(6) is divided by 28?
5
Let u be 5/(-1)*144/(-80). Let y(d) = 8*d - 10. Calculate the remainder when y(u) is divided by (1*-2)/2 + 22.
20
Suppose 2*v = -i + 15 + 11, 0 = -i + v + 32. Suppose -2*o + 11 = 3. Suppose -6*y + o*y = -32. What is the remainder when i is divided by y?
14
Suppose 177 - 279 = -2*t. What is the remainder when 305 is divided by t?
50
Let s = 210 - 163. Let d be 55/(2 + -1) + -2. Suppose 2*m - 2*u + 7*u - 19 = 0, -5*u = -4*m + d. What is the remainder when s is divided by m?
11
Suppose -4*p + 2*b = -2*b - 8, -2*b - 4 = 3*p. Suppose 22 = 2*x - 2*v, p = 4*v - 2*v - 4. What is the remainder when 21 is divided by x?
8
Let h(d) = -d - 1. Suppose -2*v - 1 - 1 = 2*o, 5*o - 2*v = -5. Let f = o + -8. What is the remainder when 30 is divided by h(f)?
6
Suppose 5*p - 157 = -u, -4*u + 52 = 4*p - 2*p. Calculate the remainder when p is divided by 11.
10
Let b(r) = -r**2 + 13*r - 5. Let h be b(12). Let k(g) = g**2 - 3*g - 17. Calculate the remainder when 41 is divided by k(h).
8
Suppose -5*k + 115 = -h, 7*k - 5*h + 145 = 12*k. What is the remainder when 140 is divided by k?
20
Let y = -79 - -120. Let f = y + -35. Calculate the remainder when 14 is divided by f.
2
Let p = -1382 + 1503. What is the remainder when p is divided by 7?
2
Suppose -5*a + 4 = 3*i, -5*a = -3*i + 7 + 7. Calculate the remainder when 19 is divided by -12 - -19 - a*3.
9
Let s(h) = -8*h - 3. Let z be s(-7). Suppose z = 3*f - f + 3*c, 2*f - 50 = -2*c. Calculate the remainder when 390/9 - 4/12 is divided by f.
21
Suppose 3*l = 0, 122 = -a - l - 3*l. Let w = -28 + 49. What is the remainder when a/(-3)*(-27)/(-18) is divided by w?
19
Let c be (0/2)/(-4) - -38. Suppose -i = -c - 16. What is the remainder when i is divided by 19?
16
Let w = 232 + -170. Let u(r) = -4*r - 33. What is the remainder when w is divided by u(-14)?
16
Let t(x) = x**3 + 6*x**2 - x - 2. Let h be t(-3). Suppose q + h = 43. Calculate the remainder when q is divided by 5.
0
Let s = 587 + -1028. What is the remainder when (-5)/1 + s/(-3) is divided by 29?
26
Suppose -3*r - 393 = -3*s - 0*s, -s - 2*r + 116 = 0. Let u = s + -54. What is the remainder when u is divided by 19?
15
Let b = 2607 - 2483. What is the remainder when b is divided by 78?
46
Suppose 0*j - 42 = -j. Suppose 2*o = -w + 76 + 11, -w - 4*o = -93. Calculate the remainder when w is divided by j.
39
Suppose 42 = 2*r - 4. Suppose r*a = 24*a - 54. Let n(h) = 2*h**2 + 8*h + 4. What is the remainder when a is divided by n(-5)?
12
Suppose -x = 2*s + 48, 0 = -s - 2 + 1. Let j = x - -57. Let v(g) = 2*g**2 - 3*g + 1. Calculate the remainder when v(4) is divided by j.
10
Suppose 8 = 5*k - k. Suppose k*q + 2*h = 22, -q + h + 4*h = 1. What is the remainder when 15 is divided by q?
6
Let i = -257 + 182. Let c = 105 + i. What is the remainder when 87 is divided by c?
27
Let t = -10 + 10. Suppose 7*m - 76 + 13 = t. Calculate the remainder when ((-122)/(-3))/(6/m) is divided by 31.
30
Suppose -106*o + 107*o = 2. Suppose -d + 12 = 3*d + 4*l, -o*l = d + 1. Calculate the remainder when 24 is divided by d.
3
Let o = 226 - 219. What is the remainder when 21 is divided by o?
0
Let b(a) = 4*a**2 - 8*a - 5. Let m be b(4). Calculate the remainder when (-6)/m - (3428/(-36) + 1) is divided by 16.
14
Suppose -z + 3*g = -1 - 5, -5*z = -5*g - 20. Let x be z - (-3 + 4)*-2. Calculate the remainder when 10 is divided by x + -1 + (-3 - -3).
2
Suppose 3521 - 425 = 24*i. Calculate the remainder when i is divided by 29.
13
Suppose 0 = 5*y - 12 - 3. Suppose -y*c = -i - 6, 5*i + 0*c = -2*c - 47. Let s = i - -15. What is the remainder when s is divided by 3?
0
Let p(l) = -l**3 - 11*l**2 + 19*l - 76. Suppose -3*i - 8 + 140 = 0. Suppose 2*z - i = 102. What is the remainder when z is divided by p(-13)?
13
Suppose -6 = -v - 2*l - 4, 5*l + 5 = 0. Let c be (-80)/(-6)*3/(-1). Let p = c + 51. What is the remainder when p is divided by v?
3
Let c = 58 - -28. What is the remainder when c is divided by 25?
11
Suppose -5*v + 55 - 185 = 0. What is the remainder when 78 is divided by -4 + -2 + v/(-1)?
18
Let v = 9 + 25. Let r(u) = -16*u + u**2 + 5*u - 8 + 6*u - 8. Calculate the remainder when r(15) is divided by v.
32
Suppose 0 = -2*b - 2, -4*l + 0*l - 12 = -4*b. Let j(d) = -3*d + 3. Let t be j(3). Calculate the remainder when 65 is divided by (t/l)/(3/44).
21
Let a(s) = 2*s**2 - 111*s - 530. Let u = 47 - 9. What is the remainder when u is divided by a(60)?
8
Let f(o) = o**3 + 7*o**2 - 2*o - 5. Let g be f(-6). Calculate the remainder when 80 is divided by g + -11 - 1*5.
26
Let i(z) = -6*z - 8. Calculate the remainder when 6 is divided by i(-2).
2
Let u = 2 - 5. Let l(t) be the first derivative of 2*t**3/3 - 7*t + 135. Calculate the remainder when 20 is divided by l(u).
9
What is the remainder when 71 is divided by (-47)/(-6) + -2*(-11)/132?
7
Suppose 0 = 22*n - 193 - 973. Calculate the remainder when n is divided by (-9)/(-6) + 30/4.
8
Suppose 2*q = 3*q - 3*u - 151, -4*u = -q + 151. Calculate the remainder when q is divided by 52.
47
Suppose 58 = -5*f + 223. Calculate the remainder when 67 is divided by f.
1
Let p(b) = -19*b + 15. Suppose 4*q - 2*k + 9 = -15, -q - 3*k - 6 = 0. Calculate the remainder when p(q) is divided by 33.
30
Suppose 9*u + 8 - 197 = 0. Let h(t) = 4*t**2 - 3*t + 1. Calculate the remainder when h(2) is divided by (-40)/(-6) + (3 - 56/u).
4
Suppose -11*k = 3*j - 13*k - 90, 5*j - 4*k = 150. What is the remainder when -2*1/(-2) + 55 is divided by j?
26
Suppose 3*t + n = -0*n + 13, -2*n + 6 = 2*t. Suppose -4*u + 91 = -t*h, 126 = -2*u + 6*u + 2*h. Calculate the remainder when 171 is divided by u.
26
Suppose 4*k = 2*m - 0*m - 432, -550 = 5*k - 5*m. Let l = k - -112. What is th