15
Suppose 393 = 3*n - 3*t, -11*t + 16*t = -20. Calculate the remainder when n is divided by 19.
13
What is the remainder when 93 is divided by 17 + (-8)/(-2) + -5?
13
Suppose 4*i = -i + 5. Let l(p) = -p. Let z be l(i). Let w = 26 - z. What is the remainder when w is divided by 15?
12
Suppose 0*m + 2*m + 3 = 5*p, -5*p + 15 = 0. Let i(d) = d**3 + 20*d**2 + 36*d + 12. Let c be i(-18). What is the remainder when 22 is divided by m - 4 - c/(-2)?
6
Let q(u) = 5. Let m(l) = l - 11. Let r(w) = -6*m(w) - 11*q(w). Calculate the remainder when r(-5) is divided by 21.
20
Suppose -102 = -4*d + 5*i, 12 = 3*d + 3*i - 78. Calculate the remainder when 127 is divided by 227/7 + (-12)/d.
31
Suppose -4*u + 3*l + 317 = 40, -5*u + 3*l + 347 = 0. Calculate the remainder when u is divided by 43.
27
Suppose -o = -5*o + 416. Let s(i) = 2*i**3 + 29*i**2 + 13*i + 1. What is the remainder when o is divided by s(-14)?
14
Suppose 10*b - 6*b - 132 = 0. Let j = 123 + -117. What is the remainder when b is divided by j?
3
Let j(q) = q - 5. Let i be j(9). Suppose -4*w + 57 = i*v - 27, -3*v = -4*w + 98. Calculate the remainder when 63 is divided by w.
17
Suppose -6*g - 28 = -2*n - 2*g, -70 = -5*n - 2*g. Let v = -55 + 110. Calculate the remainder when v is divided by n.
13
Let p(x) = 10*x + 15. Let m be p(3). Let r = m + -6. What is the remainder when r is divided by 8?
7
Let t(v) = -4*v - 12. Let w be t(-8). Suppose -8*o = -4*o - w. Suppose -2*p - d = -32, 2*p - 24 = -o*d + 16. What is the remainder when p is divided by 8?
7
Let m(o) = -o**2 - 9*o - 11. Suppose s + 0 = -5. Calculate the remainder when 28 is divided by m(s).
1
Let g(w) = w**3 - 17*w**2 + 16*w + 32. What is the remainder when 100 is divided by g(16)?
4
Let b(i) = 2*i**2 + 2*i + 43. Suppose 2*j = o, -3*j = 3*o + 2*o. Calculate the remainder when b(o) is divided by 11.
10
Suppose c - 582 = -5*u, 2*u - 3*c - 243 = -0*u. Let l = u - 3. Calculate the remainder when l is divided by 29.
27
Let k = 148 - 142. Calculate the remainder when (-5 - -4)/(1/(-10)) is divided by k.
4
Suppose 8 = 4*d, 2*q - d = -2*d + 58. Let i = -18 + 33. What is the remainder when q is divided by i?
13
Let k = -12 - -19. Suppose -l - 12 = -5*r, -r + 3*l - k + 1 = 0. Calculate the remainder when (-2)/r*1005/(-10) is divided by 14.
11
Let a = 43 - 87. Suppose -10*v = -25*v + 1110. Let m = v + a. Calculate the remainder when 88 is divided by m.
28
Let k(v) = -2*v - 7. Let m be k(-2). Let f = 13 - m. Calculate the remainder when f is divided by 10.
6
Let h(v) = -v**3 + 6*v**2 + 9*v + 9. Calculate the remainder when 9*(-4)/180 - 1122/(-10) is divided by h(7).
20
Suppose -5*x - 89 = -b, 2*b - 2*x + 3*x - 123 = 0. Calculate the remainder when b is divided by 25.
14
Let x = -186 - -244. Calculate the remainder when 228 is divided by x.
54
Suppose 3429 = 38*b - 827. What is the remainder when b is divided by 102?
10
Suppose -8 = -4*z - 0. Suppose -4*h = 2*v - 2*h - 48, z*v - 3*h = 73. Calculate the remainder when v is divided by 11.
7
Suppose 13 = -8*o - 3. Let h(g) = -15*g - 3. What is the remainder when 51 is divided by h(o)?
24
Calculate the remainder when 77 is divided by (-1 - 8)*(-6)/54*51.
26
Let n = -276 - -363. Calculate the remainder when n is divided by 10.
7
Suppose 0 = 4*c - 10*c + 42. Suppose z - 8 = -j, -c*j + 2*z + 20 = -3*j. Calculate the remainder when 32 is divided by j.
2
Suppose t = 5*t - g - 31, 2*t + 2*g = 28. Let v(a) = 28*a**2 - 2*a + 10. Let n be v(t). What is the remainder when n/30 - (-2)/(-6) is divided by 13?
10
Let z(d) = -d**2 - 40*d + 17. What is the remainder when z(-22) is divided by 84?
77
Suppose -4*r - 4*j = -88, -4*r - 2*j + 98 = r. Let l = 30 - r. What is the remainder when l is divided by 2/14*23 + 4/(-14)?
0
Suppose 3*w + 3*w = 12. Suppose -3*p + 369 = 3*i, -w*i + 591 = 3*i - p. What is the remainder when i is divided by 40?
39
Let l = 85 - 62. Let h be 114/9 - (-1)/3. Suppose -5*c - 28 = -h, 5*n - 3*c - 39 = 0. Calculate the remainder when l is divided by n.
5
Suppose l + 37*l - 1634 = 0. Calculate the remainder when l is divided by 22.
21
Let w(x) = -x**3 - x**2 - 2*x. Suppose 0 = 8*u - 704 - 432. What is the remainder when u is divided by w(-3)?
22
Let y(s) be the third derivative of -s**6/120 + s**5/30 + s**4/24 + 16*s**3/3 - 38*s**2. What is the remainder when 158 is divided by y(0)?
30
Let b(a) = -a**2 + 17*a + 212. What is the remainder when 177 is divided by b(25)?
9
Let n(i) = i**3 - 7*i**2 + 3*i + 8. Let g be n(8). Calculate the remainder when (g/9 - -2)/((-6)/(-18)) is divided by 17.
4
Let v be -10*2/(-2)*462/44. Suppose -2*y - 21 = -v. What is the remainder when 83 is divided by y?
41
Let w = 22 - 20. Suppose w*j = -2*b + 88, 0*b - 2*b + 78 = 4*j. Suppose -4*g - 23 = -91. Calculate the remainder when b is divided by g.
15
Let y(h) = -h + 3*h**2 + 29 - 29 - 2*h**2 - h**3. Let x(q) = q**3 + 8*q**2 + q - 3. What is the remainder when x(-3) is divided by y(-2)?
11
Suppose 0 = 567*c - 561*c - 54. Calculate the remainder when 124 is divided by c.
7
What is the remainder when -2*((-349)/6 + (-17)/51) is divided by 39?
0
Let h(g) = g**3 + 8*g**2 - g + 11. Let k be h(-8). Let o = k - 13. What is the remainder when 22 is divided by 2/o*(-4 - -28)?
6
Suppose -x - 24 = -3*b - 87, -201 = -4*x - 5*b. What is the remainder when 152 is divided by x?
44
Let q = -171 + 180. Calculate the remainder when 28 is divided by q.
1
Let i(z) = -z**2 - 2*z + 40. What is the remainder when 396 is divided by i(0)?
36
Let w(l) be the third derivative of -l**5/30 + 7*l**4/6 - 7*l**3/6 - 8*l**2. Calculate the remainder when w(12) is divided by 11.
8
Let j(l) = -3*l - 6. Suppose 6 = -y + 2. Suppose 0 = -t + 6*t - 110. What is the remainder when t is divided by j(y)?
4
Suppose -55*l = -45*l - 960. What is the remainder when l is divided by 51?
45
Suppose -4*i + 186 = 2*i. What is the remainder when 1082 is divided by i?
28
Let y(r) = -17*r - 56. Let z = 18 + -2. What is the remainder when y(-5) is divided by z?
13
Let w be (-107 - -1)*(6 + -5). Let q = -83 - w. Calculate the remainder when q is divided by 6.
5
Let p = 46 - -4. Suppose 2*h - p = 8. Let x = -4 + h. What is the remainder when 48 is divided by x?
23
Let n = -214 + 233. Calculate the remainder when 197 is divided by n.
7
Let k = -5 - -8. Suppose 0*w - 54 = -4*w + 3*o, w = -5*o + 2. Suppose 3*j + 3*d = -2*j + 20, 3*j - 2*d - w = 0. Calculate the remainder when j is divided by k.
1
Let d be (-42)/11 + 6/(-33) + 9. Suppose -d*c + 4*y = -129, y = 2*c + 11 - 65. What is the remainder when c is divided by 8?
5
Let l = -174 - -192. Let d be (-72)/(-42) + (-2)/(-7). Suppose 101 = d*y + 33. Calculate the remainder when y is divided by l.
16
Suppose 0 = -2*o - 2*o + 48. Let h(u) = -u**3 + 6*u**2 + 2*u - 12. Let k be h(6). Suppose k*f + 176 = 8*f. Calculate the remainder when f is divided by o.
10
Let n(l) = -l**3 - 6*l**2 - l + 2. Let f(z) = -2*z**3 - 8*z**2 - 11*z + 12. Calculate the remainder when f(-2) is divided by n(-6).
2
Suppose 0*b - 5*s = b - 30, -4*s - 48 = -4*b. Let v = -14 + 17. Suppose v*h = 2*h + 44. What is the remainder when h is divided by b?
14
Let z be (38/95)/(2/110). Let c = -19 + z. What is the remainder when 7 is divided by c?
1
Let q = 170 + -165. Let a be ((-20)/(-15))/((-2)/(-3)). Let y(t) = t**3 - 1. Calculate the remainder when y(a) is divided by q.
2
Let x(u) = 4*u**2 + 178*u + 107. Calculate the remainder when 1727 is divided by x(-44).
17
Suppose 5*s - r + 6*r = 35, -r = -2*s + 8. What is the remainder when s is divided by 1?
0
Suppose -2*k + 5*m = -64, 5*m - m = -8. Let z(l) = -l + 8. Let p be z(18). Calculate the remainder when k is divided by 3 + (-7)/(35/p).
2
Calculate the remainder when 72 is divided by (-1659)/(-84) + (-3)/4.
15
Suppose 36 = 6*m - 18. Calculate the remainder when 368 is divided by m.
8
Suppose 5*j + 19 = -x - 2*x, 35 = 5*x - 5*j. Suppose -r + x*m + 95 = 2*r, 2*r = -4*m + 58. What is the remainder when r is divided by 8?
7
Let i be (-4)/(-14) - 12/(-7). Suppose -2 = i*u - u. What is the remainder when 49 is divided by (u/(-3))/(8/156)?
10
Let j = -928 + 1216. Calculate the remainder when j is divided by 74.
66
Suppose -5*p + 26 = -64. Suppose -5*z - g + p = -0*g, -z + 10 = -3*g. Calculate the remainder when (-1 - -1) + 0 + 11