16. Let q = -12 + w. Suppose 2*m = -3*i - 2*i + 11, 0 = q*m - 5*i - 97. What is the remainder when 33 is divided by m?
15
Suppose 3*f = -j + 4, -3*f = -0*j + 3*j - 12. Suppose 38 - 154 = -j*w. Calculate the remainder when 86 is divided by w.
28
Suppose -2*g - 3*g = 2*r + 7, 4*g + 8 = -2*r. What is the remainder when 15 is divided by (-28)/r - 6/9?
3
Let n = 4 - 13. Let q be 3*3/n*-2. Let z(b) = 7*b**2 + 3*b - 5. What is the remainder when z(q) is divided by 6?
5
Let h = 813 + 389. What is the remainder when h is divided by 67?
63
Suppose -73 = -4*t + 3*l, -l - 7 = -4*t + 60. Let g be (-1113)/(-11) + 4/(-22). Suppose 0 = -2*i + g - 11. What is the remainder when i is divided by t?
13
Let p be (1 + 0)*969/(-17). Let i = p - -94. Calculate the remainder when i is divided by 8.
5
Suppose -4*f = -3*f - n - 256, 0 = 2*f + 2*n - 500. Calculate the remainder when f is divided by 142.
111
Let v be ((-13)/(-39))/((-1)/(-6)). Let s(f) = 2 - 2*f + 0*f - 2*f - 7*f**v - f**3. What is the remainder when s(-7) is divided by 16?
14
Suppose -130 = -3*m + 11. Let t = 25 - 15. What is the remainder when m is divided by t?
7
Let u(r) = 2*r**3 - 9*r**2 - 6*r + 10. What is the remainder when u(7) is divided by 36?
33
Let r(z) = z**2 + 4*z + 14. Let i(b) = b + 10. Let h be i(-17). Calculate the remainder when r(h) is divided by 12.
11
Suppose 5*x = -35*x + 2120. What is the remainder when 140 is divided by x?
34
Suppose -13*j + 16*j - 18 = 0. Let a(r) = r**3 - 4*r**2 - 2*r + 3. Calculate the remainder when a(j) is divided by 16.
15
Let g = -32 + 32. Suppose -9*y + 4*y + 45 = g. Calculate the remainder when 35 is divided by y.
8
Let b(k) = 6*k - 3 - 12*k**2 + 10*k**2 + 8*k**2 - 2*k**3 + 3*k**3. What is the remainder when 9 is divided by b(-4)?
4
Let x(n) = n**3 + 4*n**2 + 4*n. Let p be x(-3). Let u be -5*((-226)/10 - p). Suppose 5*c = 87 + u. What is the remainder when c is divided by 13?
11
Suppose 0 = 19*t + 3 - 60. Calculate the remainder when 33 is divided by t.
0
Let s = 217 - 69. Suppose -s + 16 = -3*q. What is the remainder when q is divided by 12?
8
Let q = 94 - 142. Let b = -13 - q. What is the remainder when b is divided by 28?
7
Suppose -3*s + 58 = -4*y, 3*s - 5*y - 100 = -2*s. Calculate the remainder when 77 is divided by s.
11
Calculate the remainder when (309/9)/(45/405) is divided by 78.
75
Suppose 3*i - 10 = k + 3*k, 4*k - 4*i = -12. Let t = 4 + k. Suppose -y + 10 = -t. What is the remainder when 51 is divided by y?
12
Suppose -3806 = -7*o + 562. Calculate the remainder when o is divided by 19.
16
Suppose -2 - 6 = -4*i. Suppose -31 = -5*k + 4*p, 4 = 4*k - p + 3*p. What is the remainder when k is divided by i?
1
Let a(w) = -15*w + 1. Let p be a(-2). Calculate the remainder when -2 - (-5)/(5/p) is divided by 15.
14
Let y(m) = -19*m - 14. Suppose -3*v - 4*f + 24 = -145, 0 = -2*f + 8. What is the remainder when v is divided by y(-1)?
1
Suppose 2*a - 222 = 5*z, -4*a + 416 = -14*z + 11*z. What is the remainder when a is divided by 54?
47
Suppose -1173*k + 1161*k + 3396 = 0. What is the remainder when k is divided by 1/(-2*(-2)/104)?
23
Let a(l) = -6 - 9 + l + 18. Let m be a(-2). What is the remainder when 52 - m/(-1 + 2) is divided by 18?
15
Let i be 1/3 + (-22)/(-6). Suppose 0*z + i*z - 232 = 0. Calculate the remainder when z is divided by ((-1)/(-2))/((-363)/(-90) + -4).
13
Let p = 35 - -46. Let o(w) = -w**2 - 23*w + 67. What is the remainder when p is divided by o(-25)?
13
Let k(b) = -b**2 + 10*b + 17. Let m be k(16). Let i = -54 - m. What is the remainder when 96 is divided by i?
21
Let n(o) = 90*o - 46. Calculate the remainder when n(3) is divided by 5.
4
Let s(g) = -46*g - 19. What is the remainder when 107 is divided by s(-1)?
26
Suppose 3*g - 2*g = 0, -5*f - 2*g = -695. What is the remainder when f is divided by 38?
25
Let j = -9 - -15. Suppose j*y = 4*y - 12. Let v(p) = -p**3 - 4*p**2 + 6*p - 3. Calculate the remainder when v(y) is divided by 12.
9
Suppose 37*j - 33*j = 524. Let i = 137 - j. What is the remainder when 19 is divided by i?
1
Calculate the remainder when (34/7)/((-44)/(-616)) is divided by 37.
31
Suppose 15*j = 4*j + 132. What is the remainder when 33 is divided by j?
9
Let b(c) = 7*c**2 + 8*c - 12. Let p(k) = k**2 + k - 1. Let q(y) = b(y) - 5*p(y). Let a = -29 + 31. What is the remainder when 20 is divided by q(a)?
6
Let d(y) = -y**3 + 2*y**2 + y - 2. Let g be d(2). Let o(q) = q**2 + q + 37. Let w = -174 - -194. Calculate the remainder when o(g) is divided by w.
17
Suppose -10 = 2*s, 5*r + 4*s - 5 = -s. Let f = r - 3. Let l = -10688 + 10692. What is the remainder when l is divided by f?
1
Let l(d) = -7*d - 10. Let c be l(-8). Suppose -2 + c = 4*z. What is the remainder when 17 is divided by z?
6
Let q = -14 - -35. Let n = -575 - -653. Calculate the remainder when n is divided by q.
15
Suppose 9*o = 11*o - 440. What is the remainder when o is divided by 25?
20
Let x(q) = 2*q**3 + q**2 + 9*q - 7. Calculate the remainder when x(3) is divided by 15.
8
Let j = -34 - -76. Suppose 205 = -6*k + 949. What is the remainder when k is divided by j?
40
Suppose -6*b + 212 - 8 = 0. Let x = -6 + 6. What is the remainder when b + x + -1 - 2 is divided by 17?
14
Let s(a) = a**3 + 11*a**2 + 21*a + 4. Let n be s(-9). Let q = 0 - n. What is the remainder when q is divided by 5?
3
Let l = -162 + 175. What is the remainder when 64 is divided by l?
12
Let w = -40 - -46. Let d(u) = 3*u. Calculate the remainder when d(6) is divided by (40/16)/(3/w).
3
Suppose -3*k + 138 = 4*i, -5*i + 39 = k - 18. What is the remainder when 251 is divided by k?
41
Suppose -430 = -2*x + 4*b, -1381 = x - 5*b - 1608. Suppose -4*q = -6*q + 38. Calculate the remainder when x is divided by q.
17
Suppose 4*t - 2*i - 14 = 0, 8*t - i = 4*t + 13. Let j = 1 + t. Suppose 0 = 5*x - 2*f - 50, 8*f = j*f - 20. What is the remainder when 31 is divided by x?
7
Let b = -794 + 831. Calculate the remainder when 121 is divided by b.
10
Suppose -8*j + 9*j = 132. Suppose 2*i = 4*a - 2*i - j, -4*i = -a + 42. Calculate the remainder when a is divided by 16.
14
Let d = -766 + 1102. Let y = 22 - -4. Calculate the remainder when d is divided by y.
24
Let i(w) = -w**3 - 6*w**2 + 7*w + 7. Suppose -6*c - 54 = -9*c. What is the remainder when c is divided by i(-7)?
4
Let q(z) = -9*z + 4. Suppose -90 = -4*b + 2*y, -5*y + 4*y = 3*b - 70. Let h = b + -25. Calculate the remainder when q(h) is divided by 12.
10
Let s be 1 + 50 + (-2 - -4). Let h = s + -36. Calculate the remainder when 66 is divided by h.
15
Let s = -11 - -24. Suppose 0 = 2*t - s - 25. Calculate the remainder when 1/(-2 + -2 + 3) + 34 is divided by t.
14
Let t = -46 + 81. What is the remainder when t is divided by 5?
0
Suppose -2*f - 6 = -2*i, -2*f - 9 + 27 = i. Let d = 3 + i. Suppose -8 - 13 = -v. What is the remainder when v is divided by d?
10
Suppose l + 3*l + 2*m = 20, 0 = l - 2*m + 5. Calculate the remainder when 60 is divided by l.
0
Let j(s) = -s**2 + 9*s + 2. Let d be j(9). Let w be 4/8 + (-402)/4. Let y = d - w. What is the remainder when y is divided by 26?
24
Let m(y) = -y**2 - 12*y + 16. Suppose -385 + 76 = 3*k. Let c = 166 + k. Calculate the remainder when c is divided by m(-12).
15
Let p(g) = 18*g**2 - 5*g + 5. Let v(b) = 19*b**2 - 6*b + 6. Let d(l) = 5*p(l) - 4*v(l). What is the remainder when 38 is divided by d(1)?
10
Let p = 75 + -33. Suppose 4*a - 6*a + p = 0. Let s(k) = 2*k**2 - k + 1. What is the remainder when a is divided by s(-2)?
10
Suppose 0 = -0*l - 5*l + 265. What is the remainder when l is divided by (-5226)/(-335) + (-16)/10?
11
Suppose -5*v + 20 = -0*v + 5*d, 0 = -2*v + 5*d - 6. What is the remainder when (3 + 8/(-2))*-11 is divided by v?
1
Let f = 113 + -69. Calculate the remainder when 56 is divided by f.
12
Let n = 377 - 365. What is the remainder when 153 is divided by n?
9
Let u(h) = h**2 + 4*h + 3. Suppose 0 = 5*t - 6*t - 8. Let m = -3 - t. What is the remainder when u(-5) is divided by m?
3
Suppose 0*u - 56 = -3*f - 5*u, 3*f - 3*u - 24 = 0. What is the remainder when 28 is divided by (12/8 + -1)*f?
4
Let j(z) = z**3 + 33. Calculate the remainder when -2 + 2 + 128 - 1 is divided by j(0).
28
Let m(v) = -14*v - 2*v + 5*v**2 - v**3 + 21 + 8*v**2. What is the remainder when m(11) is divided by 32?
23
Let k be -2