 18. Let m(u) = u**3 - 13*u**2 + 16*u - 18. Calculate the remainder when m(n) is divided by 8.
6
Let w(f) = -f**3 + 4*f**2 - 2*f + 1. Let y = 8 + -7. Suppose 23 = 2*k + y. Calculate the remainder when k is divided by w(3).
3
Suppose -q = -3*y + 103, -49 = -y - q + 5*q. Suppose 4*u - 90 = -m, -2*u + m + 15 = -y. Calculate the remainder when u is divided by (16/8)/(1/6).
11
Suppose -3*i + 2*z + 9 = 0, -5*z = -4*i + 12 - 0. Suppose b = i*b - 10, -5*s = 4*b - 60. Calculate the remainder when 21 is divided by s.
5
Suppose -3*b + 0*b + 303 = 0. Suppose -5*l = x + 22 - b, -4*l = 2*x - 68. Suppose o - 23 = 6. What is the remainder when o is divided by l?
14
Suppose -77 = -2*x + i - 9, -104 = -3*x + i. Suppose -4*f + 4 = -x. What is the remainder when 29 is divided by f?
9
Let r = 15 + -5. Let f = r - 6. Let g(c) = -c**3 + 5*c**2 + 3*c - 3. Calculate the remainder when 49 is divided by g(f).
24
Let k = 22 - 19. What is the remainder when 8 is divided by k?
2
Suppose -2*c = 2*c - 136. Calculate the remainder when c is divided by (2/4)/(1/24).
10
Let l(h) = -h**3 - 6*h**2 - 6*h + 3. Suppose -5*y + 152 - 47 = 0. What is the remainder when y is divided by l(-5)?
5
Let b(t) = -29*t - 14. What is the remainder when b(-4) is divided by 35?
32
Let v = 94 + -44. Let f be (-15 - -1) + (1 - -1). What is the remainder when v is divided by (-39)/f*(5 - 1)?
11
Let a(x) = x**2 + 4. Let n(m) = -m**2 - 7*m - 4. Let r be n(-6). Suppose -2*c + 32 = -r*i + 4*i, 4*i - c = 59. What is the remainder when a(-5) is divided by i?
14
Suppose -2*f - 28 = 2*f. Let o(h) = -28*h + 1. What is the remainder when o(-1) is divided by (f - 3)/(2/(-3))?
14
Suppose -12*m = -16*m + 68. Calculate the remainder when m is divided by 12.
5
Suppose a - 31 = -4*p, -p = 2*p - 4*a - 47. Calculate the remainder when 34 is divided by p.
7
Let l = 6 + 12. Suppose -3*i = -68 - 85. Calculate the remainder when i is divided by l.
15
What is the remainder when 10/4*(-986)/(-85) is divided by 5?
4
Let n(i) = -i**3 + 8*i**2 + 9*i + 3. Let c be n(9). Calculate the remainder when (84/(-3))/(1 - c) is divided by 4.
2
Let r = -4 - -6. Suppose 28 = -2*i - 4*z + r, 45 = -4*i - z. Let k = 21 + i. What is the remainder when 17 is divided by k?
7
Suppose 12 = -3*r - 9. Let y = 2 - r. What is the remainder when 34 is divided by y?
7
Let l(o) = 2*o - 5. Suppose 2*n = -12 + 34. Let k be l(n). Suppose 5*g = -m + k, -2*m + 22 = 4*g + 3*m. What is the remainder when 6 is divided by g?
0
Suppose 122 = 2*b - 2*w, -167 = 4*b - 7*b - 5*w. What is the remainder when b is divided by 21?
17
Suppose 9 = 4*r - 43. Let v(m) = -m**3 + 34*m**2 - 2*m + 118. Calculate the remainder when v(34) is divided by r.
11
Let t be 21/35 - 6/10. Suppose p = -3*h, t*p - 44 = -5*p - 4*h. Calculate the remainder when p is divided by 7.
5
Let t(q) = -q**3 - 3*q**2 + 3*q - 1. Suppose w - 6 = -w. Calculate the remainder when t(-4) is divided by w.
0
Let c(x) = -x + 13. Let p = -11 + 5. Calculate the remainder when 56 is divided by c(p).
18
Suppose 23 - 102 = -4*r - 3*o, r - 31 = 3*o. What is the remainder when r is divided by 6?
4
Let u = -88 + 94. What is the remainder when 11 is divided by u?
5
Suppose 4*u - 62 = q, -4*u - 5*q + 16 + 34 = 0. Let n(i) = -8*i + 1. What is the remainder when n(-7) is divided by u?
12
Suppose -4*z = -2*a - 20 + 376, 4*z = a - 178. Calculate the remainder when a is divided by 60.
58
Let m(p) = p + 20. Let a = 13 + -8. What is the remainder when m(-8) is divided by a?
2
Suppose 158 = 3*v - 2*o, 5*v - 5*o = 135 + 125. Calculate the remainder when v is divided by 19.
16
Suppose 0*y = -2*y + 60. Suppose -10 = -3*r + 32. Suppose -3*b = -g - b + r, 0 = 5*g + b - 81. What is the remainder when y is divided by g?
14
Suppose 2*g = 7*g + 75. What is the remainder when 219/7 - (-4)/(-14) is divided by (10/g)/((-2)/33)?
9
Suppose 0 = -3*v + 9 - 3. Let k = -5 - -7. Calculate the remainder when v is divided by k.
0
Let y(k) = k**2 - 7*k + 8. Let u be y(6). Let s(j) = -4*j**3 - j**u + j + 9*j**2 + 7 + 3*j**3. What is the remainder when 28 is divided by s(8)?
13
Suppose 8*g - 3*g = 7740. Calculate the remainder when (2/(-6))/((-6)/g) is divided by 22.
20
Let f = 147 - 99. What is the remainder when f is divided by 5 - (-14 - (-2 - 0))?
14
Let j(x) be the third derivative of -x**6/120 + x**5/60 + x**4/8 + x**3/3 + 3*x**2. What is the remainder when 21 is divided by j(-2)?
5
Calculate the remainder when 24 + -1*(3 - 2) is divided by 9.
5
Let i = 22 - 12. Calculate the remainder when 35 is divided by i.
5
Let y(w) = w - 3 + 2 - 3. Let d = -2 - -4. What is the remainder when d is divided by y(5)?
0
Let v = -58 + 97. What is the remainder when v is divided by -1*(-1*22 - -2)?
19
Suppose -4*c - 7 = m, 3*m - 2*c = -6*c + 19. Let n = 19 - 12. What is the remainder when m is divided by n?
6
Let a = -3 + 0. What is the remainder when -2*59*a/6 is divided by 15?
14
Calculate the remainder when 46 is divided by -1 - 26/(-2)*1.
10
Let h(y) = y**3 + 7*y**2 + 3*y - 8. Let z be h(-6). Let f be 476/(-32) + 3/(-24). Let r = z - f. Calculate the remainder when r is divided by 13.
12
Let v(x) = x**2 + 5. Let o = 5 - 5. Let b = 46 - 32. What is the remainder when b is divided by v(o)?
4
Suppose 0 = -2*r + 18 + 18. Suppose 7*x - 5 = 2*x, -4*p - 3*x + 283 = 0. Calculate the remainder when p is divided by r.
16
Let u(b) = -b**2 - 12*b + 4. Calculate the remainder when u(-10) is divided by 7.
3
Let r = 19 + -14. Calculate the remainder when r is divided by 2.
1
Suppose 0 = 5*o + 2*m - m - 47, 5*o - 39 = 3*m. What is the remainder when 22 is divided by o?
4
Suppose -18*n = 7*n - 175. Let j(s) = 6*s + 1. What is the remainder when j(3) is divided by n?
5
Let d(a) = -3*a + 5. Let f be d(-12). Calculate the remainder when 37 is divided by f/4 - 1/4.
7
Let b(t) = t**2 - 8*t - 1. Let m be b(8). Let v = -4 - -11. Calculate the remainder when (4/3)/(m/(-9)) is divided by v.
5
Suppose 144 = 7*h - 479. What is the remainder when h is divided by 15?
14
Suppose 37*c - 384 = 29*c. Calculate the remainder when c is divided by 10.
8
Suppose 54 = 3*q - 5*g - 5, -48 = -4*q - g. Suppose -5*l - 5*b = -0*b - 15, b = 5*l - 27. Calculate the remainder when q is divided by l.
3
Let r(d) = d**3 + 7*d**2 + 10*d + 6. Let j be r(-6). Let a = -25 - j. Let y = a - -13. Calculate the remainder when y is divided by 4.
2
Let w(v) = -v**3 + 7*v**2 - 6*v + 4. Let j be (2/2)/(1/5). What is the remainder when w(j) is divided by (-78)/(-4)*8/12?
11
Suppose -2 - 6 = -2*m. Let j be (-48)/1*(-2 + 1). Suppose -4 = -m*n + j. What is the remainder when 49 is divided by n?
10
What is the remainder when 2 - 5 - (-1 + -169)/2 is divided by 21?
19
Calculate the remainder when 83 is divided by 0/(-1) - (-168)/8.
20
Suppose 4*q + 32 - 116 = 0. What is the remainder when 146 is divided by q?
20
Suppose -5*l - 2*a = -287, -2*a - 170 = -3*l - a. Suppose 0 = -2*p + 8 + 22. Calculate the remainder when l is divided by p.
12
What is the remainder when 55 is divided by (-42)/(-3)*20/35?
7
Let d(w) = -w**2 + 10*w + 14. Calculate the remainder when 4 is divided by d(11).
1
Let w(h) = -2*h + 5. Let j be w(5). Let l(x) = x**2 + 2*x - 1. What is the remainder when 55 is divided by l(j)?
13
What is the remainder when 63 is divided by (3 + -2)/((-3)/(-39))?
11
Suppose 0 = 7*k - 111 + 83. Calculate the remainder when 23 is divided by k.
3
Let a(q) = 43*q**2 - 4*q - 4*q + 0*q + 6*q + 1. Calculate the remainder when a(1) is divided by 15.
12
Suppose -3*x + 50 = 2*x. Let a(h) = -4*h - 6*h + h**2 - 6 + 4*h. Calculate the remainder when a(x) is divided by 12.
10
Suppose -5*b + 215 = 5*i, -2*b - 79 = -3*i + 40. Calculate the remainder when 163 is divided by i.
40
Suppose -5*j - 26 = -131. What is the remainder when 57 is divided by j?
15
Let q = 12 - 2. Calculate the remainder when q is divided by 6.
4
Suppose -12 = g - 4*g, -g - 68 = -4*m. Calculate the remainder when 69 is divided by m.
15
Suppose 4*i = -m + 88, 0*m - 5*i + 285 = 3*m. Calculate the remainder when m is divided by 26.
22
Let k(z) be the second derivative of 1/2*z**3 - 2*z**2 - z + 0. What is the remainder when k(6) is divided by 8?
6
Suppose 0*b - 3*x - 133 = -b, b = 5*x + 141. Let s = -82 + b. Let h(k) = k + 5. What is the remainder when s is divided by h(9)