d by 8.
4
Suppose -351*r = -357*r + 246. Calculate the remainder when 158 is divided by r.
35
Let i(t) = 2*t**3 - 9*t**2 - t. What is the remainder when i(5) is divided by 15/5*(-14)/(-6)?
6
Let k(h) = -3*h + 22. Calculate the remainder when k(-8) is divided by 6/(-2)*-7 + 3.
22
Let t(y) = 61*y. Let v be t(-1). Let z = -17 - v. What is the remainder when z is divided by (-1008)/16*(-2)/14?
8
Let f = 285 + -263. What is the remainder when 46 is divided by f?
2
Suppose 13*v = -172 + 1017. Calculate the remainder when 253 is divided by v.
58
Let s(i) = -90*i + 69. Calculate the remainder when s(-3) is divided by 57.
54
Suppose 0 = -6*v + 2*v + 20, v - 11 = -3*r. Suppose 4*g = 20, -2*g = -r*a + 3*a + 12. Let u = 37 + a. What is the remainder when 27 is divided by u?
12
Let w(c) be the third derivative of 1/20*c**5 - 5/6*c**3 + 0*c + 1/12*c**4 + 13*c**2 + 0. Calculate the remainder when w(2) is divided by 6.
5
Suppose 0 = -16*g + 4225 - 225. Calculate the remainder when g is divided by 12.
10
Let o = -6 + 25. Suppose -4*v + 3*g + 45 = 2*g, -3*g = -2*v + 25. Calculate the remainder when o is divided by v.
8
Suppose 4*o + 30 = -0*t + 5*t, -3*o = 5*t + 5. Suppose -7 = t*g + 3, -4*h = 3*g - 297. Calculate the remainder when h is divided by 27.
24
Let i be (2 - -4)*(-2)/3. Let u(p) = -22*p**2 + 3*p - 3. Let j(x) = -x + 1. Let h(z) = i*j(z) - u(z). Calculate the remainder when h(-2) is divided by 22.
19
Suppose 3*g + 9 = 0, 2*q - 110 = 2*g + 92. Suppose -4*z - 5*r = -103, -q = -6*z + z + 4*r. Calculate the remainder when z is divided by 0 + 12*1 - (-36 + 36).
10
Let z(t) = t**3 - t**2 + 7. Let r(y) = 2*y + 12. Let k be r(-5). Let w(p) = p**3 + p**2 + 4*p - 3. Calculate the remainder when w(k) is divided by z(0).
3
Suppose 512 = 6*s - 46. Calculate the remainder when s is divided by 20.
13
Let a = -344 - -239. Let v(w) = 132*w + 204. Let q be v(-3). Let j = a - q. What is the remainder when j is divided by 22?
21
Let v be 3 + ((2 - 0)*-1 - -2). Suppose 4*f + 4*h = -22 + 118, -f + 8 = -v*h. What is the remainder when f is divided by 14?
6
Let t(w) = -2*w**3 - 4*w**2 - 2*w + 1. Let f be t(-2). Suppose 302 = f*q - 168. Suppose 6*n - 96 = 2*n. Calculate the remainder when q is divided by n.
22
Suppose 2*r = -3*r + 15. Let l = 39 - -6. What is the remainder when l is divided by (r - 27)/((-6)/4)?
13
Suppose -3*u + 5*p = -168, -u = 3*p + 2*p - 36. Calculate the remainder when u is divided by 26.
25
Suppose 2*p = -4*u + 2, -3*p + 8 = 3*u + 2. Suppose 3 + 2 = s. Suppose -s*d + 2*c + 37 = -c, c + 31 = 4*d. What is the remainder when d is divided by p?
2
Suppose -5*a + 42 = 2*i, i = -i + 2*a + 28. What is the remainder when -5*(3 - 99/(-30))*-2 is divided by i?
15
Let p(d) = 6*d - 30. What is the remainder when 68 is divided by p(7)?
8
Suppose -90*h - 336 = -97*h. Calculate the remainder when 237 is divided by h.
45
Let h be (1/4*0)/1. What is the remainder when -2 - 0 - -34 - h is divided by 6?
2
Suppose 5*m + 3*b - 231 = 2*m, 0 = 4*m + 3*b - 307. Calculate the remainder when m is divided by 8.
4
Suppose 0 = 2*l - 4*l. Suppose 0 = -3*x - l*x + 75. What is the remainder when 122 is divided by x?
22
Suppose 4*u - 255 = -67. Suppose 5*k - 4*h + 2*h - 55 = 0, 4*k - h - 47 = 0. Calculate the remainder when u is divided by k.
8
Let a = -9 - -2. Let g(t) = t**3 + 7*t**2 - 3*t - 9. Calculate the remainder when (-60)/(-45)*87/2 is divided by g(a).
10
Let h(r) = -r**3 - 7*r**2 + 9*r - 6. Let w be h(-7). Let j = w + 115. What is the remainder when j is divided by 13?
7
Let q = -16 + 16. Suppose q = -4*a + 3*a + 53. Calculate the remainder when a is divided by 14.
11
Suppose u - 4*u - 3*h + 24 = 0, 0 = -3*h + 6. Let b(o) = 4*o + 41. Let w(z) = -9*z + 39. Let n be w(5). What is the remainder when b(n) is divided by u?
5
Let u be (-2)/(-4)*(18 + -14). Suppose -38 = -5*m - 3*b, 4*b + 10 = -0*m + u*m. Calculate the remainder when 12 is divided by m.
5
Let y(q) = 17*q**2 + 4*q + 2. What is the remainder when 299 is divided by y(-1)?
14
Suppose -28 = -2618*j + 2616*j. Calculate the remainder when 27 is divided by j.
13
Let o = 43 - 30. Let v = -389 + 399. Let s = o - v. What is the remainder when 7 is divided by s?
1
Let n be ((-3)/4)/(130/(-32) + 4). Suppose -8 = 4*b - 8*b. What is the remainder when 11 + 1 + n + -17 is divided by b?
1
Let p(f) = -21*f - 74. Calculate the remainder when 107 is divided by p(-4).
7
Let h = 7 + 15. What is the remainder when -8 + 3 + 138/2 is divided by h?
20
Let r be (-4)/4 - (-126)/2. Let s = r - 4. Suppose 2 = 2*b, 2*y - 7*b - 37 = -4*b. Calculate the remainder when s is divided by y.
18
What is the remainder when 435 is divided by 2/11 - 12120/(-132) - 4?
83
Let b = -61 + 67. Suppose b*c + 12 = 42. What is the remainder when 33 is divided by c?
3
Let w(a) = -a**3 + 4*a**2 + 5*a + 1. Let s be w(-4). Suppose -2*m + s = 4*i - 71, 5*m - 3*i - 502 = 0. Calculate the remainder when m is divided by 33.
32
Let t(x) = -x - 7. Let l be t(5). Let s = l - -16. Suppose s*c = c + 51. Calculate the remainder when c is divided by 6.
5
Suppose -2078 + 878 = -25*q. Calculate the remainder when 239 is divided by q.
47
Let z = 2 - 5. Let o be -24 - (-1 - z - 2). Let s = -17 - o. What is the remainder when s is divided by 4?
3
Suppose -3*t + 58 = -3*u + 142, 5*t - 10 = -u. Let z be 5/(7 - 2) + -2. What is the remainder when u is divided by 8 - (2 + z + -6)?
12
Suppose 0 = 3*m + 2*x - 3*x - 47, -2*m = -4*x - 48. Let n = 5 + -3. Suppose 0 = n*a - a - 25. What is the remainder when a is divided by m?
11
Let s(k) = 2*k**2 - 2*k - 2. Let y(q) = 8*q**2 - q + 1. Let x be y(1). Suppose -x = 6*v - 2*v. What is the remainder when 36 is divided by s(v)?
6
Suppose -g - 3*f + 21 = -70, 4*f = -3*g + 263. Calculate the remainder when g is divided by 24.
13
Suppose -16 = 4*w - 56. Let f = w - -11. What is the remainder when 40 is divided by f?
19
Let c = 2148 + -1796. What is the remainder when c is divided by 19?
10
Let q = 46 + -46. Suppose q = 2*h + 10*h - 1152. Calculate the remainder when h is divided by 49.
47
Let d(x) = 28*x + 1. Let r be d(-1). Suppose 0 = 2*k - 3*k - 3*l + 10, 16 = 3*k - 5*l. Calculate the remainder when r*(7/(-9) + (-2)/9) is divided by k.
6
Suppose 39 = 3*c - 0*c. Let w(i) = 7*i + 11 + 4 + 7*i**2 + i**3 - 14*i. What is the remainder when c is divided by w(-8)?
6
Suppose 3*j - 3*g = 45, -g + 36 = j + j. Suppose j + 11 = x. Let f(q) = 14*q**2 + 1. What is the remainder when x is divided by f(-1)?
13
Suppose -869 = 6*m - 2513. Calculate the remainder when m is divided by 11.
10
Let n(l) = -l**3 - 7*l**2 + 9*l + 9. Let d be n(-8). What is the remainder when 9*(-3 - -16*d) is divided by 30?
27
Let h(s) = -4*s + 114. Calculate the remainder when h(18) is divided by 10.
2
Suppose 0 = 3*r - y, -2*r - 3*r = -5*y. Suppose r = -5*h + 7 + 23. Calculate the remainder when (0 - 67)/(h - 7) is divided by 17.
16
Suppose 5*d + 5 = -5*g, 3*g + 6 = d + 7. Let k(f) = 3*f - 4. Let w be k(6). What is the remainder when 42 is divided by (-14)/(-14) - (g - w)?
12
Let d = 20 - -37. Let j(p) = 2*p**2 - 5*p - 6. Let h be j(6). Let k = h - 7. What is the remainder when d is divided by k?
28
Let n be 6/21 - (1720/28)/5. Calculate the remainder when 205*(-2 - n/5) is divided by 17.
14
Suppose 10 = -0*o - o. Suppose -t + 13 - 2 = 0. What is the remainder when (-480)/o*4/6 is divided by t?
10
Suppose 308 = 10*z - 2072. Calculate the remainder when z is divided by 30.
28
Let z(d) = 41*d - 75. Calculate the remainder when 35 is divided by z(2).
0
Suppose 11 = -0*u + u + 4*x, 5*u - 4*x = -41. Let c = u + 16. Calculate the remainder when c is divided by (24/3)/(-1 - -3).
3
Let q = 3 - 0. Suppose 0 = -q*m + 143 + 64. Suppose -2*l - x = -32, 5*x = 3*l - l - 56. Calculate the remainder when m is divided by l.
15
Suppose 0 = 6*s - 3*s - 639. Let m = s + -123. Calculate the remainder when m is divided by 31.
28
Let n(o) = o**3 + 5*o**2 + 5*o + 7. What is the remainder when 267 is divided by n(-3)?
7
Let h = -121 - -236. Calculate the remainder when h is divided by 26.
11
Calculate the remainder when 170/8 + 3/4 is divided by ((-2)/(-18) + (-1508)/(-117))/1.
9
Let r(p) = p**2 + p + 3. Let v(l) = 9*l**2. Let n be v(-1). Let a be n/(1 - 2/(-1)). What is the remainder when 58 is divided by r(a)