 j(y) = -y**2 + 7*y + 7. What is the remainder when 33 is divided by j(4)?
14
What is the remainder when 2/(-6) + (-326)/(-6) is divided by ((-28)/6 + 5)/(2/84)?
12
Suppose -42*z + 45*z - 99 = 0. Calculate the remainder when 97 is divided by z.
31
Let i(r) = r - 2. Let w be i(7). Suppose 2*o - 3*x - 2*x - 13 = 0, -4*o + 11 = w*x. What is the remainder when 23 is divided by ((-18)/o)/((-6)/16)?
11
Calculate the remainder when 106 is divided by ((-81)/6)/(6/(-16)).
34
Let g(a) = -a**3 + 12*a**2 + 13*a + 1. Let y be g(13). Let b = y + 16. Calculate the remainder when 32 is divided by b.
15
Suppose 2*b = -h + 10, h - 2*b - 10 = -5*b. What is the remainder when 29 is divided by h?
9
Let z(j) = 2*j - 1. Let a(b) = b. Let h(c) = 6*a(c) + z(c). What is the remainder when h(2) is divided by 8?
7
Suppose -5*f - 25 = 0, 4*x = 2*f + 2*f + 252. Calculate the remainder when x is divided by 34.
24
Let p = 50 - 28. Calculate the remainder when p is divided by 14.
8
Suppose 92*l = 90*l + 20. Calculate the remainder when l is divided by (-34)/(-9) - 4/(-18).
2
Suppose 2*t + 16 = -w, t = 4*w - 5 + 15. Calculate the remainder when 7 is divided by (-3)/(-1) + t/(-6).
3
Let q = -8 - -8. Suppose q = 5*j - 5 - 10. What is the remainder when (58*3)/j*1 is divided by 20?
18
Let o(i) = 6*i - 2. Let u(x) = x. Let m(g) = o(g) - 5*u(g). Calculate the remainder when m(10) is divided by 3.
2
Let o be 4/(-14) - 23/(-7). Let k = 10 - o. Suppose 2*w = 80 - 40. What is the remainder when w is divided by k?
6
Suppose -22 = -y + 7. Calculate the remainder when y is divided by 11.
7
Let y(r) = -55*r - 1. Let p be y(1). Let j = 100 + p. Suppose -4*m - 25 = 5*v - 102, 0 = 3*m + v - j. Calculate the remainder when 25 is divided by m.
12
Calculate the remainder when 9 is divided by (-4)/(-6) + (-4)/(-3)*1.
1
Suppose 8*n + 0 - 16 = 0. Let p = 27 - 16. What is the remainder when p is divided by n?
1
Let n(m) = m**2 + 5*m + 4. Let y be n(-4). Suppose 2*d + y*d = a + 5, -3*a = -3*d. Suppose -d*w = -w - 60. Calculate the remainder when 28 is divided by w.
13
Let q = -6 - -24. Suppose -5 = 5*h, h = -0*p + 5*p - 831. Let k = p + -114. Calculate the remainder when k is divided by q.
16
Suppose -5*j = -5*a - 3*j + 17, -31 = -3*a - 4*j. What is the remainder when 52/(-2)*(4 - a) is divided by 9?
8
Let d = 73 + -59. Let p(i) = 13*i. Let h be p(-3). Let a = h - -66. What is the remainder when a is divided by d?
13
Let u(d) be the first derivative of -d**2 - 3*d - 6. Calculate the remainder when u(-5) is divided by 2.
1
Let q = 0 + 3. Suppose -80 = -q*r - r. Suppose -18 = 5*g - 73. Calculate the remainder when r is divided by g.
9
Let x = 41 - 9. Suppose -i + x = -5*s, -2*i + 3*i = -4*s + 5. Calculate the remainder when 65 is divided by i.
14
Let s be ((2 - 4) + 5)/1. Let h = s + 0. Suppose h*b - 48 = -b. Calculate the remainder when 34 is divided by b.
10
Let k(d) = -d + 7. Let m = -3 - 2. Let r = -29 + 52. What is the remainder when r is divided by k(m)?
11
Let d(w) = 4*w**2 - 1. Let o be d(1). Suppose -28 = -5*u + o*u. Calculate the remainder when 54 is divided by u.
12
Suppose -2*g + 5*x - 16 = -5*g, 0 = -5*g - x + 12. What is the remainder when 8 is divided by g?
0
Suppose d = 6*d + 25, 3*d = -3*y + 87. Suppose -g = 3*s - 2*g, 0 = 5*s + 2*g - 11. Let l = 11 + s. Calculate the remainder when y is divided by l.
10
Let p be -2 + 2 + -8 + -2. Let a = p + 19. What is the remainder when a is divided by 2*5/4*2?
4
Suppose 0 = 3*f - 8 - 22. What is the remainder when f is divided by 6?
4
Suppose -4*r + 4 = -12. Suppose 3*g - 12 = -9*l + r*l, -4*l + 11 = g. What is the remainder when l is divided by 3?
0
Suppose -5*w = d - 21, 6 = 2*w - 0*w - 2*d. Suppose 3*q - w*q = -22. What is the remainder when q is divided by 8?
6
Let m(r) = 2*r**2 + 6*r + 1. Let q be 0 + (2 - 3) - -22. Let t = 38 - q. What is the remainder when t is divided by m(-4)?
8
Let l(g) = -g**2 + 13*g + 4. Let x be l(12). Suppose 0 = -4*i + 2*b - 0*b + x, 0 = i - 3*b + 1. What is the remainder when i is divided by 3?
2
Suppose -8 = p - 37. What is the remainder when p is divided by 10?
9
Let c(m) = 119*m**2 + m. Let p be c(1). Let g be (-1 - 4)/((-6)/p). Let o = g - 63. What is the remainder when o is divided by 13?
11
Let t = -3 - 9. Let o = t + 19. Calculate the remainder when o is divided by 4.
3
Calculate the remainder when 65 is divided by (17/(-3))/(17/(-102)).
31
What is the remainder when 49 is divided by 8 + 8/4*1?
9
Suppose 5*l - 7 = -4*m, 2*l = -m - 4*m + 13. What is the remainder when (-4 - -3) + (-17)/l is divided by 6?
4
Let d(x) = x**2 - 4*x - 6. Let p be d(5). Let y be p + 21/(-2 - -5). Suppose y = n + 2. Calculate the remainder when 6 is divided by n.
2
Suppose 3*a - 7*a + 29 = o, -16 = -4*a. Let b be 5/(-20) - (-2)/8. Suppose v = 2*h - 19, b*h - h - 2*v = -2. Calculate the remainder when o is divided by h.
5
Let m = -45 + 75. What is the remainder when m is divided by 11?
8
Let g(h) = -2*h - 2. Let f be (5/2)/(4/(-8)). Let b be ((-2)/5)/((-1)/f). What is the remainder when 2 is divided by g(b)?
0
Let s(d) = 3*d**3 - 4*d**2 + d + 2. What is the remainder when 35 is divided by s(2)?
11
Let x(o) = -o - 2 + 1 - 2. Let z be x(-6). What is the remainder when 49 is divided by (-2)/z*(-51)/2?
15
Let t(x) = x**2 - x - 4. What is the remainder when 2 is divided by t(-2)?
0
Suppose -3*s = i - 4, -i - s = -5*s - 25. Let f(z) = z + 28. What is the remainder when f(10) is divided by i?
12
Suppose 3 + 9 = f. Suppose -3*m - 4*x = -98 - 24, 82 = 3*m - 4*x. What is the remainder when m is divided by f?
10
Suppose 3*g - 9 = 3. Suppose -m + 3 = 2*a - 16, -17 = -3*m + 4*a. What is the remainder when m is divided by g?
3
Let t be (12/5 - 2)*-10. Let i(p) = p**3 + 3*p**2 - 6*p - 6. Let q be i(t). What is the remainder when 55 is divided by q*(2 + (-45)/(-6))?
17
Let v(i) = -i**2 + 9*i + 14. What is the remainder when 55 is divided by v(9)?
13
Let x(v) = v**2 - 4*v - 7. Let p(c) = -2*c + 1. Let j be p(-3). What is the remainder when x(j) is divided by 8?
6
Suppose 0 = 3*y - 15, -f + 2*y = -0*f + 6. Suppose -o = -f*o + 60. Calculate the remainder when o is divided by 11.
9
Let l(g) = -g + 7. Let r be l(0). Let i = r - 5. What is the remainder when 4 is divided by i?
0
Suppose -3*t = -4*z - 37, -6*t - 4*z = -2*t - 96. What is the remainder when 37 is divided by t?
18
Let h(z) = 5*z**2 - 2*z + 1. Let k(r) = -r**3 - 6*r**2 + 6*r + 7. Suppose 0 = -2*s - 3*s - 35. Calculate the remainder when h(3) is divided by k(s).
12
Let w(m) = -m**2 + 8*m + 2. Calculate the remainder when (-386)/(-6) + (-12)/(-18) is divided by w(5).
14
Let v(b) = 9*b - 1. Calculate the remainder when 31 is divided by v(2).
14
Suppose 132 = 6*c - 0*c. Calculate the remainder when 84 is divided by c.
18
Let v(z) = -z**3 + 12*z**2 + 16*z - 19. What is the remainder when 54 is divided by v(13)?
14
Let y(q) = -2*q**3 - 3*q**2 - 7*q - 9. Let r be y(-6). Let z(n) = 3*n - 1. What is the remainder when r/9 + 1/3 is divided by z(5)?
12
Calculate the remainder when 17 is divided by 7/(-21) - 31/(-3).
7
Suppose 6*z - 2*z - 164 = 0. Let w = -20 + z. Calculate the remainder when w is divided by 11.
10
Suppose 0 = -z + 2*h + 19, -z = -2*h + 3*h - 16. Let u be (-6)/9 + 26/3. What is the remainder when 402/u - (-2)/(-8) is divided by z?
16
What is the remainder when 56 is divided by 19/3*21/7?
18
Suppose -3*g - j - 4*j + 29 = 0, -4*g = -3*j. What is the remainder when 9 is divided by g?
0
Suppose 2*x - 68 = -2*a + 42, 0 = 5*x + 2*a - 272. What is the remainder when x is divided by ((-4)/(-7))/(1 + 188/(-196))?
12
Let s = 15 + -13. Suppose 2*j - 214 = -3*r, 0 = -s*r + r - j + 72. What is the remainder when r is divided by 24?
22
What is the remainder when 29 is divided by (4 + -1 - 2)*8?
5
Suppose -c + 7 = -17. Suppose -c = -0*k - 3*k. Suppose 50*d - 15 = 49*d. Calculate the remainder when d is divided by k.
7
Suppose -3*o = 3*s + 18, -3*s + 14 = -2*s - 4*o. What is the remainder when (-63)/s - 1/(-2) is divided by 16 + 3 + 4 + -6?
15
Suppose -7*z = -2*z + 20. Suppose 14 = y + 6. Let i = y - z. What is the remainder when 34 is divided by i?
10
Suppose -2*d + 18 = -0*h + 2*h, -4 = 2*h. Let f(g) = 2*g**2 + 3*g - 3. Calculate the remainder when f(-5) is divided by d.
10
Let w = 53 + -15. Suppos