6
Suppose 2*q - 29 = -m - 4*m, 2*q = 4. Calculate the remainder when -1 - (-2)/((-8)/(-76)) is divided by m.
3
Suppose 15 = x + 4*x. Suppose x*d = 2*d - 8. Let o = d - -23. Calculate the remainder when 43 is divided by o.
13
Let w = -100 - -105. What is the remainder when 24 is divided by w?
4
Let l(y) = y**3 + 7*y**2 - 3*y + 5. Calculate the remainder when l(-7) is divided by 8.
2
Let u = 7 - 2. Suppose -u*z - p = -0*z - 29, -2*z - p = -14. What is the remainder when 12 is divided by z?
2
Suppose f - 176 = -7*f. Calculate the remainder when 260/3 + 4/(-6) is divided by f.
20
Suppose 5*j = -2*v + 26, -3*v = v + 2*j - 20. Let b(i) = i**3 - i**2 - 3*i - 3. What is the remainder when 28 is divided by b(v)?
4
Let j(i) = 2*i**2 + 5*i + 6. Let k be j(-8). Suppose -5*p = -k + 9. Calculate the remainder when p is divided by ((-18)/(-8))/((-1)/(-4)).
8
Let q(o) = -o**2 + 7*o - 7. Let r be q(7). Let g = r + 15. What is the remainder when 22 is divided by g?
6
Let t = 103 - 50. Suppose r = 4*r - 81. What is the remainder when t is divided by r?
26
Suppose y + 163 = 5*q, 5*y = 4*q - 117 - 26. Let a(h) = -17*h**3 + h**2 - 1. What is the remainder when q is divided by a(-1)?
15
Let z = -45 - -67. Suppose 0*a - 24 = -2*a. What is the remainder when z is divided by a?
10
Suppose 32 = j + 3*k - 0*k, 5*j - 3*k - 232 = 0. Suppose -3*o + 67 = 2*q + 3*q, -j = -3*q + 2*o. Calculate the remainder when 41 is divided by q.
13
Let i = 11 - 3. Suppose 2*t = i + 6. Suppose 2*j = t*j + 15, -141 = -5*x - 3*j. What is the remainder when x is divided by 11?
8
Let w(g) = -3*g**3 + 4*g**2 + g - 4. Let q be w(-4). Suppose -4*l + q = 5*v, -3 = 2*l + 3. Calculate the remainder when v is divided by 14.
10
Suppose -5*p - 146 = -51. Calculate the remainder when (p/2)/(4/(-8)) is divided by 11.
8
Let k = 1 + -2. Suppose 6*s = -2 + 38. Let m = k + s. What is the remainder when 17 is divided by m?
2
Let t(q) = 8*q + 6. Let g be (-9)/3*-1 + 69. Suppose 3*y - 2*y - 32 = -4*s, -2*s - g = -5*y. Calculate the remainder when t(5) is divided by y.
14
Let u be 6/4 + (-99)/2. Calculate the remainder when 63 is divided by (4/6)/((-2)/u).
15
Let g(z) = z**3 + 10*z**2 - 14*z - 15. Suppose -5*q = 34 + 21. Suppose -3*u = p - 157, u - 24 - 37 = 4*p. What is the remainder when u is divided by g(q)?
17
Suppose 112 = -2*s - 4*o - 0*o, -2*s + 4*o - 96 = 0. Let g = -18 - s. What is the remainder when g is divided by 18?
16
Let d(y) = y + 2. Let h be d(2). Let m be h/(-6) + (-8)/6. Calculate the remainder when (-3)/m - (-35)/2 is divided by 10.
9
Calculate the remainder when 14/(2*3*12/252) is divided by 25.
24
Suppose 3*w - 57 = -15. Calculate the remainder when w is divided by 4.
2
Let s(f) be the third derivative of f**5/60 + f**4/12 - f**3/6 - 3*f**2. Calculate the remainder when s(-6) is divided by 8.
7
Let s = 5 + 7. Suppose -s = -p + 7. Suppose -3*q + 2*q = -37. What is the remainder when q is divided by p?
18
Suppose -2 = -6*q + 4*q. Let i(n) = 9*n**2 + 3*n - 3. Let b(c) = c**2 - c + 1. Let s(p) = q*i(p) + 4*b(p). What is the remainder when s(1) is divided by 5?
3
Let b(f) = -f**2 - 10*f - 12. Let w be b(-9). Calculate the remainder when 17 is divided by (w/2)/(2/(-12)).
8
Let t(r) = 5*r + 54. Calculate the remainder when t(-10) is divided by 2.
0
Suppose -4*t - t - 21 = -3*j, -35 = -5*j - 3*t. Suppose 3*c + 3*b = c, -3*c = -5*b - 19. Let a(v) = 8*v - 4. What is the remainder when a(c) is divided by j?
6
Let s = 87 + -36. Suppose 3*r - 24 = s. What is the remainder when r is divided by 7?
4
Let p(u) = -u**2 - 4*u - 2*u + 7 + 0 - 3. What is the remainder when p(-3) is divided by 6?
1
Calculate the remainder when 62 is divided by (-7)/((21/6)/(-7)).
6
Let r(d) = 4 + 7*d - 6*d + 4*d. What is the remainder when 36 is divided by r(3)?
17
Let j(s) = s**3 - 19*s**2 + 18*s + 17. Calculate the remainder when 3/(-15) + 312/10 is divided by j(18).
14
Suppose w = -0 + 4. Suppose w*t + 22 = 2*q, -4*q - 5*t + 3*t = -34. What is the remainder when q is divided by 6?
3
Let z(a) be the third derivative of 0*a + 0 + 2*a**2 + 7/24*a**4 - 4/3*a**3. What is the remainder when z(6) is divided by 12?
10
Let w be 1/(-3) + (-268)/(-12). Suppose -4*y + 6 = w. What is the remainder when 6 is divided by 8/y*4/(-2)?
2
Let r = 62 - 59. Calculate the remainder when 5 is divided by r.
2
Suppose 4*a = -a + 20. Let k = a + 1. Suppose 4*v + 112 = k*x, -x - 3*v + 22 = -4*v. What is the remainder when x is divided by 9?
6
Let r = 47 - 11. Suppose 4*i + r = 3*j + j, 4*i = j. What is the remainder when 22 is divided by j?
10
Let w = 61 + -40. What is the remainder when w is divided by 12?
9
Suppose 14 = 3*n - 2*b + 2, -16 = -2*n + 4*b. Calculate the remainder when -8*((-15)/6 - n) is divided by 19.
17
Let h(g) = -g**3 - 4*g**2 - 3*g - 8. Let t be h(-4). Suppose -35 = -s - t*s. What is the remainder when ((-15)/6)/((-1)/10) is divided by s?
4
Suppose 2*z = r + 1 + 11, 0 = -2*r + z - 27. Let i = r + 30. Calculate the remainder when (-1 - 49/(-3))*3 is divided by i.
14
Suppose -2 = -5*c + 5*s + 3, c + 4 = -4*s. Suppose 14 + 17 = 3*i + o, -2*i + 5*o - 2 = c. Calculate the remainder when i is divided by 4.
1
Let d(b) = b + 1. Let r be d(1). Suppose 0 = -r*q - 3 - 1, 2*q = x - 24. Calculate the remainder when -2 + -3 + x - 1 is divided by 8.
6
Let d(p) = 6*p**2 + 28*p + 3. Let a(n) = 2*n**3 - 2*n**2 - n + 4. What is the remainder when a(3) is divided by d(-5)?
11
Let s(r) = -r**3 + 6*r**2 + 9*r - 5. What is the remainder when s(7) is divided by 5 - -2 - (-3 - -5)?
4
Suppose -9*y + 12*y = 63. What is the remainder when 61 is divided by y?
19
Let i = -4 - -8. Suppose 4*a = 2*a + i. Suppose 0*m - 12 = -a*m + d, 2*d - 8 = 0. Calculate the remainder when 22 is divided by m.
6
Let y = 1 + 13. Calculate the remainder when 22 is divided by y.
8
Let m(j) = j**3 + 6*j**2 + 5*j + 6. Let l be m(-5). Let w = l + -6. Suppose w = -2*x + 3 + 5. Calculate the remainder when x is divided by 3.
1
Let b = 8 - 2. Suppose -253 = -5*u + 12. Calculate the remainder when u is divided by (b/4)/((-3)/(-36)).
17
Let y(t) = 8*t - 2. Let w be 6/5*(-10)/(-3). Let f be y(w). What is the remainder when ((-1)/(-2) - 0)*f is divided by 8?
7
Let x(g) = -g + 3. Let u be x(0). Let w = 6 - u. Calculate the remainder when 9 is divided by w.
0
Suppose -2*x - 8 = -x + 3*o, 0 = x + 5*o + 18. Calculate the remainder when x is divided by 3.
1
Let r = 0 + 3. Suppose -5*b + r*l - 13 + 45 = 0, 4 = -l. Suppose 14 = -2*o + 9*o. Calculate the remainder when b is divided by o.
0
Calculate the remainder when 26 is divided by 2 - ((-9)/(-3) + -16).
11
Suppose s + 5*n - 39 = 0, s = -0*s + 5*n - 1. Let o(t) = 3*t**2 - 3*t - 5. Calculate the remainder when o(5) is divided by s.
17
Let x be (-12)/(-3)*2/2. Suppose 2 + x = 3*u. What is the remainder when 7 is divided by u?
1
Let n be (-12)/(-5) - 21/(-35). Suppose 5*h - n*f = 40, 5*f - 3*f + 5 = -h. What is the remainder when h is divided by 4?
1
Suppose -3*b = -75 - 210. Calculate the remainder when b is divided by 24.
23
Let s(b) be the third derivative of b**6/120 - b**5/60 - b**4/24 + 26*b**3/3 - 6*b**2. What is the remainder when s(0) is divided by 19 - (1 - 2)/(-1)?
16
Let l be (78/9)/(2/3). Suppose 0 = b - 0 - l. What is the remainder when (-173)/(-7) - 4/(-14) is divided by b?
12
Let q = -5 - -9. Suppose 5*z - z = -x + 75, -q*x = 4*z - 72. Calculate the remainder when z is divided by 5.
4
Let v = 5 - -4. What is the remainder when v is divided by 5?
4
Let u(z) = z**3 + 6*z**2 + 4*z - 3. Let a be u(-5). Suppose 6 = -4*d + a*d. What is the remainder when d/6*-4*16 is divided by 17?
15
Suppose 0 = 4*q - 2*w - 80, -w = -q + w + 23. Calculate the remainder when 54 is divided by q.
16
Let k(z) = -64*z**3 - z**2. Let f be k(1). What is the remainder when 19 is divided by 37/5 - (-26)/f?
5
Let v be 1/(-1) + 6*1. Let z(p) = p**2 - 5. Suppose -k + 4*i = k - 26, 5*i + 5 = 0. Calculate the remainder when z(v) is divided by k.
9
Suppose -6*a + 4*a + 110 = 0. Let g(c) be the first derivative of 2*c**3/3 - c**2 - 5*c + 1. What is the remainder when a is divided by g(4)?
17
Let n(d) = -2*d. Let j = 14 - 7. Calculate the remainder when n(-6) is divided by j.
5
Let x = 102 + -15. Calculate the remainder when x is divided by 22.
21
Suppose -5*z = 3*g - 37,