 + 2*f - 30 = -5*z, 2*z - 3*f = -8. Calculate the remainder when 2 is divided by z.
0
Suppose -25 = -2*p + p. What is the remainder when 49 is divided by p?
24
Suppose -2*c - 153 = 5*x - 523, 0 = -4*c. Suppose 5*m - x = 6. Suppose 0 = 4*d - 92 - 32. Calculate the remainder when d is divided by m.
15
Let y = -11 - -71. What is the remainder when y is divided by 8?
4
Let a be (5 - 2) + -1*9. Let m(f) = f**2 - 6. Calculate the remainder when m(a) is divided by 11.
8
Let d(t) = 43*t. Let x be d(2). Suppose 2*h - 4*r = x, h + 6 - 44 = r. Calculate the remainder when h is divided by 9.
6
Let s(l) = 4*l**2 + 5*l - 2. What is the remainder when s(-4) is divided by 2 + 9/(-2)*-2?
9
Let n = 7 - 3. Suppose g - 3*g = -n*c - 16, -5*g = -2*c - 24. What is the remainder when 0 + 0 - (-15 - -8) is divided by g?
3
Let b(x) = 6*x - 1. Let o(v) = -v**2 + 4*v + 9. Let j be o(5). What is the remainder when 67 is divided by b(j)?
21
Suppose -91 = -3*p + 3*t - 25, 0 = 2*p - 3*t - 42. Suppose g - 284 = -4*h, 0 = 3*h + h - 3*g - 268. What is the remainder when h is divided by p?
22
Let n be -4*(1 - 1/2). Calculate the remainder when 19 is divided by (n - -4) + (-16)/(-2).
9
Suppose 3*z + 2*u - 4*u - 7 = 0, -u - 7 = -5*z. Let a = 30 + -27. Calculate the remainder when 24 is divided by 40/a - z/3.
11
Suppose 0 = 2*n - 114 - 78. Calculate the remainder when n is divided by 14.
12
Let p = -23 - -35. Calculate the remainder when 57 is divided by p.
9
Suppose -h = -5*q - 72, -2*h - 2*q + 75 + 105 = 0. What is the remainder when h is divided by 24?
15
Suppose -5*l + 41 = -14. Calculate the remainder when -6 - 28/(-1) - (3 - 0) is divided by l.
8
Suppose 5*a = 7*a - 16. Suppose -5*m + 0*r = -4*r - 171, 4*m + 3*r - 112 = 0. Calculate the remainder when m is divided by a.
7
Suppose 7*f - 2*f - 10 = 0. Suppose 2*p + 4*u - 9 = u, 0 = -f*p + 3*u + 39. What is the remainder when p is divided by 7?
5
Let z = 2 - 0. Let o(q) = 11*q. Let n be o(z). Suppose p - n = -p. What is the remainder when 20 is divided by p?
9
Let a(b) = 3*b**2 + 2*b + 4. Calculate the remainder when 34 is divided by a(-2).
10
Suppose -2*o + 56 = 4*l, -5*l - 5*o + 35 + 30 = 0. Calculate the remainder when 148 is divided by l.
13
Let s(l) = -2*l - 8. Let d be s(-8). Let z = d + -6. What is the remainder when 5 is divided by z?
1
Calculate the remainder when -3 - 95/(2 - 3) is divided by 24.
20
Let b(q) = q**2 - 6*q + 6. Let i be b(9). Suppose -25*j + i = -22*j. Calculate the remainder when 19 is divided by j.
8
Suppose 4*j + 46 = 2*x, 1 - 5 = j - 2*x. Let b(f) = -f**3 + 5*f**2 - 5*f + 6. Calculate the remainder when b(4) is divided by j/(-8) - (-9)/(-12).
0
Suppose -14 = -i - 4. Let l be 1*4 - (-2 - -3). Suppose 0 = -l*a - 2*a - 5*y + 45, -21 = -5*a + 3*y. Calculate the remainder when i is divided by a.
4
Suppose -2*q = q + 18. What is the remainder when 10 is divided by ((-18)/q)/(1/1)?
1
Let d(w) = -w**3 - 5*w**2 + 3. Suppose 10 = -0*h - 2*h. What is the remainder when 7 is divided by d(h)?
1
Suppose v + 84 = 3*v. What is the remainder when v is divided by 1*-11*(3 + -4)?
9
Suppose -75 + 205 = 5*x. Calculate the remainder when 49 is divided by x.
23
Let i = 14 + -10. Calculate the remainder when 66/((-20)/6 + i) is divided by 25.
24
Suppose 0*m = 3*m - 12. Suppose -h + 6 = -4*l + 55, 20 = -m*h. What is the remainder when l is divided by 7?
4
Let g(z) = -4*z + 5*z + 2*z - 1 + 0*z + z**2. Calculate the remainder when 5 is divided by g(-4).
2
Suppose -2*w = 2*p - 34, -6 = -2*w + p + 13. What is the remainder when 47 is divided by w?
11
Let p(s) = -s**3 - 4*s**2 + 2*s - 1. Let y be p(-4). Let f be 2/9 - (-20)/y. Calculate the remainder when 14 is divided by f/(((-1)/1)/4).
6
Let i(y) = -y**2 - 20*y + 19. What is the remainder when i(-18) is divided by 19?
17
Let v(o) = -o**3 - 7*o**2 - 8*o + 21. Calculate the remainder when v(-8) is divided by 30.
29
Let v = 127 + -85. Suppose -3*r + 2*r = -v. Let u(f) = -4*f - 2. Calculate the remainder when r is divided by u(-6).
20
Suppose 7*u - 100 = 3*u. Suppose -2*l + 3*q - 5*q + 18 = 0, 0 = 2*l + q - 14. Suppose 5*i + l = 40. What is the remainder when u is divided by i?
4
Suppose 20*w - 15*w = 105. What is the remainder when w is divided by 11?
10
Let b(q) = 2*q**3 + 0*q**2 - 4*q**2 - 5*q - 3 - 3*q**3. Calculate the remainder when b(-4) is divided by 9.
8
Suppose -2*c + 81 = c. Suppose c = -s - 2*s. Calculate the remainder when -6*2/s*33 is divided by 15.
14
Let y(w) be the second derivative of w**3/6 + 31*w**2/2 + 2*w. Let m = -27 + 38. What is the remainder when y(0) is divided by m?
9
Suppose 0 = 5*l - 2*l + 12. What is the remainder when -32*(2/1 + -3) is divided by ((-3)/(-6))/(l/(-136))?
15
Let v(r) = -4*r**2 + 5. Let m(s) = -s**2 - s + 1. Let q(y) = -3*m(y) + v(y). Let c be q(4). Let h = c - -5. What is the remainder when 4 is divided by h?
1
Calculate the remainder when 58 is divided by 2/9 - 1862/(-126).
13
Let i(s) = -7*s - 9. Let g be i(-6). Let w = -20 + g. Calculate the remainder when w is divided by 5.
3
Suppose -v + 4*v + 251 = 5*r, 3*r = -4*v + 139. What is the remainder when r is divided by 13?
10
Suppose 1 = -4*i - 11. What is the remainder when 45 + (1 - 2)*i is divided by 10?
8
Calculate the remainder when ((-282)/(-42) + -5)*(1 + 6) is divided by 3.
0
Let f = 10 - 7. Suppose 0 = 2*s + 3*g - 26, -f*s + 4*g = -s + 2. Suppose o + 4 = q, q + s*o = 2*o + 4. Calculate the remainder when q is divided by 2.
0
Let c = -187 + 297. Suppose -8*z + c = -3*z. Suppose t = -0*t + 12. What is the remainder when z is divided by t?
10
Let w = 2 + 25. Calculate the remainder when w is divided by 14.
13
Let u be 7 + (0 + 2 - 0). Let b = u - -21. Calculate the remainder when b is divided by 16.
14
Suppose -2*d = -3 - 3. Suppose -z + 6 = -d*z. Calculate the remainder when 30 is divided by z*(16/3)/(-1).
14
Suppose 0 = -q + 1 + 2. Let c = 9 + q. What is the remainder when 45 is divided by c?
9
Suppose -2*f + 4*h = -94, h = f - 50 + 8. Let q = f + -13. Calculate the remainder when q is divided by 13.
11
Suppose -4*s - s = -5*w + 85, 5*w + 2*s = 92. What is the remainder when 123 is divided by w?
15
Suppose 30*d - 35*d = -1105. What is the remainder when d is divided by 37?
36
Let a = -21 + 20. Calculate the remainder when 66 is divided by a - (1*70)/(-2).
32
Let p = -6 - -11. Suppose -62 = p*c + 63. What is the remainder when (-230)/c - (-2)/(-10) is divided by 6?
3
Let x(h) = h**3 - 2*h**2 - 8*h + 5. Let f(t) = 6*t - 4. What is the remainder when x(5) is divided by f(3)?
12
Let a(i) = i**2 + i + 4. Calculate the remainder when 4/6 + (-32)/(-6) is divided by a(0).
2
Let r(c) = 10*c. Let z be (3/6)/(-1)*-4. Suppose 3*p + 39 = 4*p. What is the remainder when p is divided by r(z)?
19
Let s(k) = -5*k - 1. Let r be 1/((-2 + 1)/3). What is the remainder when 25 is divided by s(r)?
11
Let n(d) be the third derivative of d**5/20 - d**4/24 - 3*d**2. What is the remainder when 4 is divided by n(1)?
0
Let f(q) = q**3 + 9*q**2 - 11*q + 1. Let o be f(-10). Suppose -4*x + 71 - o = 0. What is the remainder when x is divided by 6?
3
Let n(u) = -u**3 - 5*u**2 - 4*u + 1. Let v be n(-4). Let m(o) = v + 3*o + 0 + 3 - 6*o. What is the remainder when m(-3) is divided by 8?
5
Let h = 26 + -2. Suppose 59 + 121 = 4*s. What is the remainder when s is divided by h?
21
Let i(w) = -w**3 - 4*w**2 - 4*w - 7. What is the remainder when 33 is divided by i(-4)?
6
Let u = -48 - -61. Let c be (-2)/(-5) - 16/(-10). Let i = 7 - c. Calculate the remainder when u is divided by i.
3
Calculate the remainder when (-14)/(-63) + (-646)/(-9) is divided by 25.
22
Suppose -p - 3 + 13 = 0. What is the remainder when 26 is divided by p?
6
Let v(b) = 5*b**2 - 7*b + 3. Let r(q) = -10*q**2 + 13*q - 6. Let x(u) = -3*r(u) - 5*v(u). What is the remainder when x(2) is divided by (12/(-14))/(2/(-14))?
3
Let o = 46 + -7. Let m = -14 + o. Suppose -l + 59 = 2*t + 2*t, 0 = 3*l - 9. What is the remainder when m is divided by t?
11
Let b(z) = -z + 2. Let t be b(-2). Suppose -t*m + 4 = -3*m. Suppose -r = 2, 0*r + m*r = -l - 6. What is the remainder when l is divided by 2?
0
Suppose 151*q = 148*q + 69. What is the remainder when q is divided by 13?
10
Suppose 13*j = 7*j + 294. Calculate the remainder when j is divided by 26.
23
Let w = 1