12.
10
Let z = -5 - -9. Suppose 0 = z*s - k, -4*s + 3*k - 12 = -k. Suppose 3*v = s + 26. What is the remainder when 17 is divided by v?
8
Let m(w) = 9*w**2 + 3*w + 1. Let s(q) = 4*q**2 + q. Let x(z) = 6*m(z) - 13*s(z). Let y be 60/(-14) - 4/(-14). What is the remainder when 35 is divided by x(y)?
17
Let m(u) = -3*u**3 - 4*u**2 - 2*u. Calculate the remainder when ((-12)/27*3)/(4/(-66)) is divided by m(-2).
10
Let c(f) = 27*f + 6. Let a be 3/(2/((-8)/3)). Let t be c(a). Calculate the remainder when 32 is divided by (t/9)/((-6)/9).
15
Let u(x) = 12*x + 1. Suppose -2*k = -4*k + 14. What is the remainder when u(2) is divided by k?
4
Let b be (-481)/(-7) + 6/21. What is the remainder when (1 - -1)/(3/b) is divided by 12?
10
Suppose -k = k - 20. Let a(u) = 3*u - 2. Let i be a(2). Calculate the remainder when (-261)/45*(-1 - i) is divided by k.
9
Suppose -z + 4*z = 5*l - 96, 0 = -l - 2*z + 27. What is the remainder when l is divided by 11?
10
Let a(k) = -9*k + 2 + 3 - 3. Let x be a(-5). Suppose -12 = -2*v + 4*o, 2*v - x = -0*v - 3*o. Calculate the remainder when v is divided by 9.
7
Let d(m) = m**2 + 7*m + 3. Calculate the remainder when 42 is divided by d(-8).
9
Let u be (-2)/6 - 25/15. Let h be 4/2*(-5)/u. Suppose 18 = h*v - 2*v. Calculate the remainder when v is divided by 4.
2
Suppose -5*t + f = -3, -3 = 3*f - 9. Let s be 0 + (t - -1)*5. Let r = -2 + s. Calculate the remainder when r is divided by 3.
2
Suppose 0 = 2*l - 5*l + 108. Suppose -5*g + 46 = c - 0*g, l = c + 3*g. Calculate the remainder when c is divided by 11.
10
Let q(d) be the first derivative of -d**3/3 + 6*d**2 - 6*d + 3. Calculate the remainder when 52 is divided by q(10).
10
Suppose 4*x - 12 = -0. Suppose -n - x*n = -100. Calculate the remainder when 47 is divided by n.
22
Let s(l) = 9*l - 42. Let q = 49 + -27. Calculate the remainder when q is divided by s(6).
10
Suppose 129 - 16 = 5*k + t, -5*k - 5*t = -105. Suppose 3*z + k = 4*z. What is the remainder when 66 is divided by z?
20
Let n(s) = s**2 + 3*s - 7. Let q be n(-5). Calculate the remainder when 31 is divided by (2/4)/(q/66).
9
Suppose 5*w = 6*w - 23. Suppose -10 = 4*y - 26. What is the remainder when y/18 + 1220/18 is divided by w?
22
Let r(p) = -6*p - 20. What is the remainder when 56 is divided by r(-6)?
8
Let u = 75 - 44. Calculate the remainder when u is divided by 16.
15
Let c(y) = 0*y**3 + 4*y**3 + 1 - 2. Calculate the remainder when (-22)/(-4) + (-2)/4 is divided by c(1).
2
Let k(a) = a**2 + 12*a + 3. Let w be k(-12). Suppose -w*i - 2*i = -c - 17, -i - 8 = -4*c. What is the remainder when 6 is divided by c?
0
Let b = -32 - -42. What is the remainder when 37 is divided by b?
7
Let d(s) = 3*s**3 - 2*s**2 - s - 1. Let y be d(-2). Calculate the remainder when (-20)/(-14)*(4 - y) is divided by 18.
14
Let l(n) = -n - 4. Let u be l(-6). Suppose 3*g - 155 - 22 = 5*j, 0 = -u*g - j + 105. Calculate the remainder when g is divided by 14.
12
Let y(z) = z**2 - 10*z + 2. Let t be y(8). Let w = t - -25. What is the remainder when w is divided by 3?
2
Let u be (-2)/(-1*(-1)/(-1)). Let c be (3 - (-3 - -7)) + 1. Suppose -j + u = -c*j. What is the remainder when 5 is divided by j?
1
Suppose 18 = 5*y - 2*y. Calculate the remainder when 5 is divided by 10/y + (-3)/(-9).
1
Let c(n) = 4*n**2 + 1. Let g(d) = d**3 - 3*d**2 - 4*d + 1. Let h be g(4). Calculate the remainder when 18 is divided by c(h).
3
Let z(q) = -2*q - 6. Let c be z(-6). What is the remainder when 37/3 - 14/(-21) is divided by 5 - -3*4/c?
6
Suppose 5*w + 3*v = 19, 2 + 19 = 5*w + 2*v. Let u(f) = f**2 + 8*f - 11. What is the remainder when u(-10) is divided by w?
4
Suppose -5*z + 2*z = 0. Calculate the remainder when (180/3)/2 - z is divided by 16.
14
Let g be -1*((-4)/1 - -1). Suppose 5*b = -g*m + 43, -m + 4*b + 52 = 2*m. Calculate the remainder when 62 is divided by m.
14
Let o(h) = -42*h**2 + h. Let j be o(-1). Let u = j + 74. Suppose 5*n - 9 = u. Calculate the remainder when 14 is divided by n.
6
Calculate the remainder when 41 is divided by 312/22 + (-2)/11.
13
Let w(c) = -c - 5. Let y be w(-6). Calculate the remainder when 22 is divided by y + 2 + 3/1.
4
Suppose 0*o = -o + 15. What is the remainder when 24 is divided by o?
9
Let m(s) = 2*s - 48. What is the remainder when 4 is divided by m(26)?
0
Let h = -134 + 208. Let j be ((-212)/6)/(3/(-9)). Let i = j - h. What is the remainder when i is divided by 11?
10
What is the remainder when 101 is divided by (-300)/(-9) - 2/(-3)?
33
Suppose r + 25 = 2*x + 2*r, 4*x = -4*r + 44. What is the remainder when (-440)/(-17) + (-10)/(-85) is divided by x?
12
Let t = 7 + -5. Let o be -1*(-1 + t)*-2. Suppose 0 = -4*i - o*p + 86, 8 = i + p - 16. What is the remainder when 36 is divided by i?
17
What is the remainder when (-13)/((((-18)/4)/3)/3) is divided by 10?
6
Let y(w) = -2*w**2 + 3*w - 3. Let h be y(2). Let d = h + 16. Suppose 3*s = -2*t + 2*s + 81, 4*t + s - 167 = 0. What is the remainder when t is divided by d?
10
Let i(q) = 5*q**2 + q - 1. Calculate the remainder when 9 is divided by i(1).
4
Suppose 5*k - 156 - 174 = 0. What is the remainder when k is divided by 17?
15
Let s = -15 - -17. Suppose s*i + 10 = 3*i. Calculate the remainder when 37 is divided by i.
7
Suppose -2*j + 7 + 5 = 0. Let k = j + -3. Calculate the remainder when 7 is divided by k.
1
Let g be 3 + -1 + 0/(-1). Suppose g*h - 26 - 4 = 0. Calculate the remainder when h + (-1 + -2)/3 is divided by 8.
6
What is the remainder when 51 is divided by (-1)/(1/26*-2)?
12
Let a(p) = p**3 - 12*p**2 - 2*p + 26. Let h(b) = b**3 - 4*b**2 + 3*b - 6. Calculate the remainder when h(4) is divided by a(12).
0
Suppose 2 = -0*u + u. Suppose -u*b = 3*b + 3*h - 54, b - 5*h = -6. What is the remainder when 17 is divided by b?
8
Let q(v) = -5*v - 24. What is the remainder when q(-14) is divided by 16?
14
Let u = 17 - 14. Suppose x - 25 = -5*v, -2*v + 3*v + 59 = 3*x. Let j = x - 13. What is the remainder when j is divided by u?
1
Suppose 2 + 80 = 3*g + 4*d, 4*d = -5*g + 134. What is the remainder when (-1)/3 - (-304)/3 is divided by g?
23
Suppose 2*s - 11 = 39. Calculate the remainder when s is divided by 14.
11
Suppose y = 2*y - 95. What is the remainder when y is divided by 32?
31
Suppose 2*y = y - 2. Let n be (y/4)/(2/(-4)). Let v = 2 + n. What is the remainder when 5 is divided by v?
2
Let i be (3/6)/(1/224). Suppose w - i = -3*w. What is the remainder when w is divided by 10?
8
Let r(n) = -n**2 + 11. Calculate the remainder when -1 + ((-4)/2 - -10) is divided by r(3).
1
Suppose -12*f - 90 = -21*f. What is the remainder when 69 is divided by f?
9
Suppose 4*i + 156 = 5*m, -5*m + 3*i + 93 = -64. What is the remainder when 125 is divided by m?
29
Suppose -4*n = 2*u - 14, 4*n = -4*u + 23 - 3. Suppose u*r - 38 - 223 = 0. Calculate the remainder when r is divided by 30.
27
Let h(s) = -3*s**2 - 2*s + 2. Let r(k) = -k**2 - 5*k - 2. Let u be r(-5). Let z be h(u). Calculate the remainder when 23 is divided by (-2)/z + (-35)/(-3).
11
Let i(y) = 4*y - 3. Let t be i(3). Let c = -13 + 18. Calculate the remainder when c is divided by t/4 + 3/(-12).
1
Let f(p) = -p**3 - 12*p**2 - 3*p + 5. Let o be (-42)/15*(-10)/2. Suppose o = 2*r - 14. Calculate the remainder when f(-12) is divided by r.
13
Let a(f) = f + 1. Let i(h) = -h**3 - 3*h - 6. Let z(x) = 6*a(x) + i(x). Let m be z(-4). Suppose 5*n - m = n. What is the remainder when 24 is divided by n?
11
Let u(x) = -x**3 + 5*x**2 + 3*x + 2. What is the remainder when (-2)/9 - 904/(-18) is divided by u(5)?
16
Let h(n) = n**2 - 7*n + 8. Let k be h(6). Let t(a) = 45*a**3 - 2*a**2 + a. Calculate the remainder when t(1) is divided by k/(-4)*1*-30.
14
Suppose 5*n - 4 = -0*n - 2*l, -5*l + 10 = -2*n. Let j be (-3)/(-6*1)*n. Suppose y - 2*y + 16 = j. Calculate the remainder when y is divided by 6.
4
Let d = -12 - -14. Suppose -3*f + 115 = d*f. Suppose -5*m + 44 + 16 = 0. Calculate the remainder when f is divided by m.
11
Suppose 3*c + 30 = -9. Let l = 9 + 26. What is the remainder when l is divided by 1 + (-4)/2 - c?
11
What is the remainder when 2*13 - (0 - 0) is divided by -4 + 18/(-12)*-12?
12
Calculate the remainder when 23 is divided by (-24)/(-2) - (0 + 0).
11
Let c(x) be the first derivative of 5*x**3 - x - 2. What is the remainder when 40 is divided by c(