4)/21)/((-4)/30). Suppose -4*h + 23 = -2*y - 3, -x*y = -3*h + 23. Calculate the remainder when 21 is divided by h.
3
Suppose -4*y - 95 = -3*u, 6*u = 5*u + 1. Suppose 258 = 10*q - 4*q. Let v = y + q. Calculate the remainder when v is divided by 7.
6
Suppose -3*d + 105 = -n + 4*n, -5*d + 196 = -2*n. Suppose 5*q - 28 = 37. What is the remainder when d is divided by (2 - 0 - 1)*q?
12
Let u(r) = r**3 - 7*r**2 - 5*r + 9. Let t be u(8). Suppose 5*s + t = 83. What is the remainder when 29 is divided by s?
9
Suppose 4*a = -3*j - 27, -9 = 4*j - 5*a - 4. What is the remainder when 31 is divided by (-22)/j*5/2?
9
Let a be (170 - 4/(-4)) + -1. Suppose l = 3*r - a, 3*r - l - 3*l - 167 = 0. What is the remainder when r is divided by 15?
12
Let j(f) = 2*f. Let c = -56 - -38. Let u = c + 27. Calculate the remainder when j(8) is divided by u.
7
Suppose 5*y - 7*u = -3*u + 198, 3*y = 4*u + 122. Suppose -3*i = -0*i - 9. Calculate the remainder when y is divided by i/(9/(-39)*-1).
12
Suppose -10 = 2*f, 3*a = -2*f + 58 + 22. Let q = a + -27. What is the remainder when 8 is divided by q?
2
Suppose -4*u + 13 = -3*s, 3*s + 2*s = 3*u - 7. What is the remainder when 24 is divided by 1 + s/(3/36)?
11
Suppose 3*p - 27 = 27. Let m(n) = -n**2 - 9*n + 5. Suppose -2*w + 3*w = 0, 4*w + 9 = -u. What is the remainder when p is divided by m(u)?
3
Let h = 132 + -69. What is the remainder when h is divided by 32?
31
Let r = 45 - 28. What is the remainder when 276/9 + (-5)/(-15) is divided by r?
14
Let m(f) = 13*f**2 - 3*f + 2. Let j be m(2). Suppose 3*q = -4*a + 3*a + j, 4*q = -8. What is the remainder when a is divided by 19?
16
Let w = 34 + -59. Let a = -2 - w. Calculate the remainder when a is divided by ((-3)/(-2))/((-2)/(-16)).
11
Suppose 240 = -5*r + 25. Let n = -24 - r. Let k(f) = -f + 2. What is the remainder when n is divided by k(-5)?
5
Let b = -42 + 53. Let k be 15/6*(1 + -3). Let r = k + 9. Calculate the remainder when b is divided by r.
3
Let h(v) = v**3 + 4*v - 4. Let b be -2 + 0 + 2 + -13. Let c = b - -25. What is the remainder when h(3) is divided by c?
11
Let j = 125 + -117. What is the remainder when 62 is divided by j?
6
Let o(l) = -8*l - 1. Suppose y = 3*c - 95, -5*y + 4*y = c - 25. Suppose h = g + 15, 4*g - 6 = h - c. Calculate the remainder when o(-3) is divided by h.
11
Suppose 0 = -3*q - u + 15, -2*q + q + 5 = 2*u. Calculate the remainder when q is divided by 32/14 - (-2)/(-7).
1
Suppose -399 = 2*d - 9*d. Calculate the remainder when d is divided by 20.
17
What is the remainder when (-1)/(-2) - (-124)/8 is divided by 5?
1
Let k = -229 - -378. What is the remainder when k is divided by 52?
45
Let b = -1 - -5. Suppose -b = 2*i + 3*g, 3*i - 5*g - 5 = 8. What is the remainder when 2 is divided by i?
0
Suppose 0 = -3*y + 3*n + 27, 2*n = 3*y - 13 - 13. Let j(o) = o**2 - o + 2. What is the remainder when j(5) is divided by 2/y - 47/(-4)?
10
Let s(t) = t + 1. Let b be s(4). Suppose -29 = -4*c - b. What is the remainder when 17 is divided by c?
5
Let q be 10/35 + 345/(-7). Let n = -35 - q. What is the remainder when 40 is divided by n?
12
Let n(f) = -f**3 - 2*f**2 - 2*f - 2. Let g(i) = -i. Let x be g(-3). Suppose -2*k = x*k + 10. Calculate the remainder when 2 is divided by n(k).
0
Let h(m) = 24*m**3 + m**2 - 7*m + 7. Calculate the remainder when h(1) is divided by 9.
7
Suppose d - 3*d = 0. Let h be 1 - (d - 1 - 1). Suppose 2*z = -h*z - 4*u + 202, 5*u = 3*z - 99. What is the remainder when z is divided by 13?
12
Let r be (-162)/(-21) - (-4)/14. Let w = 18 - r. Calculate the remainder when w is divided by -3*2/(1 - 2).
4
Let p(v) = -v + 4. Let r(h) = -2*h**3 - h + 4. What is the remainder when r(0) is divided by p(2)?
0
Let t(b) = 19*b. Let o be t(-1). Let h = o - -13. What is the remainder when 20 is divided by (-67)/h + 3/(-18)?
9
What is the remainder when 36 is divided by 19/2 - (3/2)/(-3)?
6
Let m be (-122)/(-6) - (-2)/3. Suppose 0 = 2*r - t - m, 3*t + 9 = -6. What is the remainder when r is divided by 3?
2
Let h(o) = o**3 - 4*o**2 - 2*o. Let z = -8 - -63. Calculate the remainder when z is divided by h(5).
10
Let m(h) = 2*h**2 - 4*h + 3. Let u be m(2). Suppose -u*b = 1 - 31. Calculate the remainder when 37 is divided by b.
7
Suppose -a + 1 = 3. What is the remainder when a/(-2) - (-65)/5 is divided by 5?
4
Suppose 2 = 2*n, 3 - 9 = -t + 3*n. What is the remainder when 35 is divided by 6/t - 25/(-3)?
8
Suppose 3*n + a + 2*a - 9 = 0, -5*a = -2*n + 6. Let b be -8*((-18)/(-4))/n. Let h = 35 + b. What is the remainder when h is divided by 8?
7
Suppose 4*u - 5*u - 1 = 0, 5*p - 149 = -u. Suppose 5*c + 50 - 130 = 0. Calculate the remainder when p is divided by c.
14
Let n(f) = -f - 8. Calculate the remainder when 6 is divided by n(-12).
2
Let q(k) be the first derivative of -5*k**2 + k + 2. What is the remainder when q(-4) is divided by 11?
8
Suppose -3 + 9 = -m. Let h be ((-12)/18)/(1/m). Suppose h*g - 44 = x, 0 = 3*g + g + 4*x - 44. Calculate the remainder when 21 is divided by g.
10
Suppose -43 = -5*d + 22. Calculate the remainder when 37 is divided by d.
11
Suppose 23*h + 84 = 27*h. Calculate the remainder when 140 is divided by h.
14
Let q = 103 + -89. Calculate the remainder when 54 is divided by q.
12
Suppose -5*m = -3*m - 114. What is the remainder when m is divided by 20?
17
Calculate the remainder when 13/39 - 194/(-3) is divided by 22.
21
Let t = -44 + 62. Let s = -1 + 36. Calculate the remainder when s is divided by t.
17
Let b(k) = k**3 + 5*k**2 + 6*k + 5. Let j be b(-4). Let s = 6 + j. Calculate the remainder when 10 is divided by s.
1
Suppose -5*u - 2*t = -26, -6*u - 5*t = -3*u - 8. Calculate the remainder when 9 is divided by u.
3
Let f(v) = 5*v - 4. Let u(p) = -6*p + 3. Let a(c) = -5*f(c) - 4*u(c). Let k be a(8). Suppose k + 1 = m. Calculate the remainder when 2 is divided by m.
0
Let o(b) = b**2 - 14*b - 8*b - 1 + 20*b. Let m be 8/(-6) + 2/(-3). Calculate the remainder when 13 is divided by o(m).
6
Let l(y) = -y + 2. Let z be l(6). What is the remainder when 34 is divided by 6 - (4 - (3 - z))?
7
Suppose -3*t + 6 = -0*t. Suppose -l + 3 = t*l. Calculate the remainder when 1*((-1 - l) + 22) is divided by 11.
9
Suppose 2*s = -0*s + 12. Calculate the remainder when (0 + (-44)/(-12))/(1/3) is divided by s.
5
Let w(n) = n**2 - 5*n + 2. Let h be w(6). Suppose -h*z + 50 = -3*z. Calculate the remainder when z is divided by 6.
4
Suppose -5*f + 3*i + 200 = 0, -6 - 4 = 2*i. Suppose 40 = 2*g - 2*c, -7*c = -3*g - 3*c + 59. Let r = f - g. Calculate the remainder when 47 is divided by r.
15
Let p be ((-32)/12)/4*9. Let w = p + 19. What is the remainder when 25 is divided by w?
12
Let j = 5 - 3. Calculate the remainder when 48 is divided by (66/3 - j) + -3.
14
Suppose -3*r = 2*r - 45. Let m = 33 + -15. What is the remainder when 25 is divided by (-2)/r + 238/m?
12
Suppose -h = 4*h - 155. Let c(y) = y**3 + 14*y**2 + 13*y + 11. Calculate the remainder when h is divided by c(-13).
9
Let u(p) = -2*p - 9. Let k be u(-5). Let z = 14 + k. Calculate the remainder when z is divided by 6.
3
Let w be 4 - 1*(-1 - -1). Suppose -w*y + 81 = 29. Let q = 9 + -4. What is the remainder when y is divided by q?
3
Let h(k) = k**3 + 5*k**2 - 7*k. Let s be h(-6). What is the remainder when (-2)/5 + (-214)/(-10) is divided by 11/2 - (-3)/s?
3
Suppose 4*i - 3 = v, i = 4*v - 9*v + 27. Calculate the remainder when -2 + 1 + -4 + 19 is divided by v.
4
Suppose -4*g + 58 = t - 4*t, 0 = 2*g - 3*t - 26. Calculate the remainder when 45 is divided by g.
13
Suppose 2*c = 4 + 2. Calculate the remainder when ((c - 43)/2)/(-2) is divided by 6.
4
What is the remainder when 17 is divided by ((-2)/4)/(15/(-120))?
1
Suppose 2*b = 5*b + 129. Let d = b - -101. Calculate the remainder when d is divided by 15.
13
Suppose i = -4*i + 20. Calculate the remainder when i is divided by 6/(-7)*(-21)/6.
1
Let m(j) = 12*j**2 - 2*j. Let x be -5*(1 - 2 - 0). Suppose 3 - x = -i. Calculate the remainder when m(i) is divided by 23.
21
Suppose d + 0 + 4 = 0. Let j be (0 + (-5)/d)*4. Suppose -j*i - v = -73, -5*i + 41 = 5*v - 44. What is the remainder when i is divided by 8?
6
Let g = 54 - 100. Let n = -24 - g. What is the remainder when n is divided by 12?
10
Let h be 0/(2/2) + 3. Let s = h + 1. Calculate the remainder when s is d