
Suppose -20 = -4*u, 3*k + 4*u - 47 = -9. Let i = -25 + 15. Let q = 1 - i. Calculate the remainder when q is divided by k.
5
Suppose 2*n = -3*l - 1 + 8, 3*n + 18 = 5*l. Calculate the remainder when 9 is divided by l.
0
Suppose 3*b + 33 = 6. Let i = b + 50. Suppose n - i = -4*k + 30, -53 = -n + 2*k. What is the remainder when n is divided by 20?
19
Let t(b) = -b**3 + 6*b**2 - 7*b + 4. What is the remainder when 12 is divided by t(4)?
4
Let i(v) = 5*v - 1. Let c be i(-1). Let d(f) = -f + 5. What is the remainder when 20 is divided by d(c)?
9
Let g be 1/(-6) - 1832/(-48). Suppose -5*k + 292 = -g. Calculate the remainder when k is divided by 17.
15
Let t(n) be the second derivative of -n**5/20 + n**4/12 - n**3/3 + 3*n**2/2 + n. Calculate the remainder when t(-4) is divided by 23.
22
Let w(n) = 2*n + 3. Let g be w(-3). What is the remainder when 5*g*2/(-15) is divided by 2?
0
Let h(n) = -2*n + 17. What is the remainder when 4 is divided by h(8)?
0
Let a = -5 + 5. Calculate the remainder when 43 is divided by a - 1 - (0 + -16).
13
Let y be (5 - 3) + 1 + 2. Suppose 56 = y*m - 4. What is the remainder when 34 is divided by m?
10
Suppose 0*q - 275 = -5*q. Calculate the remainder when q is divided by 28.
27
Suppose 6*v - 12 = 4*v. Let g = 12 - 8. Calculate the remainder when v is divided by g.
2
Suppose -9 = 3*y - 5*t + 5, -t = 5*y - 14. Suppose c - y = 9. Let f = c - 5. Calculate the remainder when 16 is divided by f.
4
Suppose 0 = -8*n + 115 + 253. Calculate the remainder when n is divided by 12.
10
Let d = -18 - -25. Let w(m) = -m**2 + 12*m - 8. Calculate the remainder when w(9) is divided by d.
5
Suppose 5*f + 2*p = 143, 3*f = 2*f - 3*p + 39. Calculate the remainder when 107 is divided by f.
26
Suppose -5*z = -19 - 51. Calculate the remainder when 39 is divided by z.
11
Suppose 19 = -c + 31. Calculate the remainder when 21 is divided by c.
9
Calculate the remainder when 31/2 + 2/(-4) is divided by 3*(8 + -2 - 3).
6
Let z be 4/28 + 2649/(-21). Calculate the remainder when -5*z/(-15)*-1 is divided by 22.
20
Suppose 3*o - 7*o = 2*c - 28, -3*c - 18 = -4*o. Calculate the remainder when 11 is divided by o.
5
Suppose -2*v = q - 155, -v + 0*q + 3*q = -95. Calculate the remainder when v is divided by 27.
26
Calculate the remainder when 51 is divided by (-423)/(-33) - 2/(-11).
12
What is the remainder when 83 is divided by ((-69)/(-46))/(2/44)?
17
Suppose -8 = -2*g + 3*j, -2*j + 0 = 4. Suppose g = -2*v + 5. Suppose 5*o = v*a + 3*a + 70, 2*a = 3*o - 42. Calculate the remainder when o is divided by 5.
4
Let v(t) = t**2 + 8*t + 6. Let p be v(-7). Let i(w) = -4*w. What is the remainder when 7 is divided by i(p)?
3
Let u(i) = 2*i**2 + 7*i - 21. Let h(t) = t**2 + 6*t + 6. Let v be h(-6). Calculate the remainder when u(3) is divided by (v/4)/((-12)/(-80)).
8
Let x be 1 + 1 + -1 + 47. Suppose -x + 0 = -g. Suppose 0 = 5*t + g - 128. Calculate the remainder when 47 is divided by t.
15
Let v(q) = q**2 - 8*q - 6. Let u be v(9). Let h(r) = 5*r - 4. Let o be h(u). Let j = 21 - o. Calculate the remainder when j is divided by 4.
2
Let p(n) = 2*n**2 + 7*n + 8. Calculate the remainder when p(-5) is divided by 6.
5
Let m be 8 + (-1 - -2 - 1). Let l(b) = b - 3. Let o be l(3). Suppose o*q = 4*q - m. Calculate the remainder when q is divided by 2.
0
Suppose 5*x + 21 = -4*j, 2 = 4*j - 2. Suppose -2*n = -5*n - 3*i + 3, -4*n + 2*i = 2. Let q = n - x. What is the remainder when 14 is divided by q?
4
Let m = 19 + -15. Let u be ((-15)/(-12) + 0)*4. Suppose u*h - 3*p = 9, -1 - 3 = -m*h + 4*p. Calculate the remainder when 8 is divided by h.
2
Let j = 59 + -32. Suppose 0*v + 2*m = v - j, 3*m - 70 = -5*v. What is the remainder when 49 is divided by v?
15
Suppose 2*v = 4*v + 12. What is the remainder when 26 is divided by (21/(-9))/(2/v)?
5
Let v(n) be the third derivative of n**5/20 + 2*n**2. Suppose p = -3*l + 28, 5*p = 3*l + 27 + 149. Calculate the remainder when p is divided by v(-2).
10
Suppose 0 = -2*x + 4*x + 8, -51 = -5*p + 4*x. Suppose 1 + p = q. What is the remainder when q is divided by 3?
2
Let x(b) = b**2 + b + 2. Let k be (-32)/12 - (-2)/3. Let a be x(k). Suppose -a*d + 0*l = l - 128, -l - 27 = -d. What is the remainder when d is divided by 16?
15
Suppose 0 = 2*i + 2*x - 30, -x + 65 = 3*i - 3*x. Suppose 5*m = m. Suppose m*t - 5*t + 50 = 0. What is the remainder when i is divided by t?
9
Let j = -2 - 0. Calculate the remainder when 34 - (j + 2 + -1) is divided by 12.
11
Let u(y) = y**2 + y + 3. Let i = -5 - -22. Calculate the remainder when i is divided by u(-3).
8
Let y = 78 - 64. Suppose k = 4*h - 157, -2*h - 3*k + 86 = -k. What is the remainder when h is divided by y?
12
Let x be 8 + (4/(-4) - 2). Suppose -2*m + 7 = 4*n - 19, -x*m - 33 = -4*n. What is the remainder when 11 is divided by n?
4
Let z(f) = f - 1. Let i be z(5). Suppose -219 = -i*y + 1. What is the remainder when y is divided by 19?
17
Let x be 1*-1 - 6/(-3). Let v be x/(-3)*(2 + -41). Suppose 0 = 3*a + 2*r - v, r + 4 = a - 7. What is the remainder when 19 is divided by a?
5
Suppose 7*l - 32 = -l. Calculate the remainder when 31 is divided by l.
3
Let u(i) = -i**3 - 8*i**2 - 16*i + 9. Calculate the remainder when 69 is divided by u(-5).
13
Suppose -c + 2*c - 34 = 3*f, -3*c + 72 = -3*f. Calculate the remainder when 320 is divided by c.
16
Suppose s + 45 = 4*s. Calculate the remainder when 41 is divided by s.
11
Suppose -188 = -5*l - 2*x, 13 = 2*l - 3*x - 66. Let h be (3/6)/((-1)/(-6)). Suppose 0 = d + h*d - 52. Calculate the remainder when l is divided by d.
12
Suppose -2*y + 81 = y. What is the remainder when 79 is divided by y?
25
Let b(r) = 2*r**3 - 2*r**2 + r - 2. Let y be b(2). Let q = y + 5. Calculate the remainder when q is divided by 7.
6
Let g(v) = -v + 22. Calculate the remainder when 6 is divided by g(17).
1
Let k = 7 + -8. Let b be k*(-11)/3*-3. Let p(n) = -n + 4. What is the remainder when 58 is divided by p(b)?
13
Suppose c + 0*g - 84 = 2*g, -4*c = 5*g - 349. What is the remainder when c is divided by 22?
20
Let n be (-25)/(-15) + 2/6. Suppose -n*z - 4*c + 104 - 12 = 0, -4*c - 16 = -z. Suppose 0 = 2*s + s - z. Calculate the remainder when 35 is divided by s.
11
Suppose 2*s + 10 = -3*s. Calculate the remainder when 29 is divided by 3/s*(-10 - 0).
14
Let i(l) = 4*l - 3. What is the remainder when (-3 + 5)/((-2)/(-83)) is divided by i(6)?
20
Suppose 0 = 3*g - 3 - 6. Let h = g - 4. What is the remainder when 18 is divided by ((-10)/(-8))/(h/(-8))?
8
Let n = 178 + -89. Calculate the remainder when n is divided by 23.
20
Let w be 18/1 - (2 + -3). Suppose a - 22 = w. What is the remainder when a is divided by 14?
13
Let a(j) = 3*j**3 - 1. Suppose -k = -0*k - 1. Let b be a(k). Suppose -b = -3*h + 7. Calculate the remainder when 8 is divided by h.
2
Suppose 2*z = -3*z - 40. Let y(l) = -l + 8. Let a be y(z). Suppose 0 = -2*r + a - 2. What is the remainder when 13 is divided by r?
6
Suppose -3*b + 11 + 1 = 4*p, -p = b - 4. Suppose 3*m + t = b, -4*t + 4 = 12. What is the remainder when 4 is divided by m?
0
Let s = 1 + 1. Let z = s - -6. What is the remainder when (2 - 12/4)/(1/(-23)) is divided by z?
7
Let o(m) = -4*m + 2*m - 8 - 3*m. Let q be o(-6). Let n = q + 15. What is the remainder when n is divided by 13?
11
Suppose 0 = -3*u - 6, 22 = -o + 4*o + u. Suppose 0*l - 5*l + 70 = 0. Calculate the remainder when l is divided by o.
6
Suppose k + 1 = g, -g - 1 = -3*k + 6. Let o(n) = -n**2 + 4*n + 2. What is the remainder when g is divided by o(4)?
1
Calculate the remainder when 5 is divided by (3/6)/(2/8).
1
Let x(j) = -8*j - 24. What is the remainder when 45 is divided by x(-6)?
21
Suppose -4 = -v - 1. Let b = 13 - v. What is the remainder when 17 is divided by b?
7
Suppose 0 = r + 4, -4*r + 18 = 2*s - 8. What is the remainder when 6/((-36)/2)*-183 is divided by s?
19
Let f = 1 - -2. Let h = -1 + f. Suppose -h*x = -58 - 8. Calculate the remainder when x is divided by 18.
15
Suppose 7*o = 4*o - v + 185, -v = -o + 67. What is the remainder when o is divided by 16?
15
Let g be -12*2/(-1 - 3). Let z be (1*g)/3 + 0. Suppose -s = -z*s + 10. Calculate the remainder when s is divided by 6.
4
Suppose -56 = -3*n - 0*n + j, 0 = 4*j + 20. What is the remainder when 31 is divided by n?
14
Let b = -33 + 39. What is the rema