2*b. Suppose p = -5*n - 3*m + 353 - 128, 0 = -2*n + m + 101. What is the remainder when n is divided by 25?
23
Suppose 0 = 6*y - 3*y - 2*r + 23, -33 = 5*y + 2*r. What is the remainder when 80 is divided by ((-36)/8 + 3)*2*y?
17
Let c(f) = 6*f + 85. What is the remainder when 1 is divided by c(-14)?
0
Let a = 302 + -290. What is the remainder when 23 is divided by a?
11
Let b(o) = 1. Let i(y) = 5*y - 13. Let q = -7 + 8. Let f(s) = q*i(s) + 6*b(s). Calculate the remainder when f(15) is divided by 18.
14
Let n = -57 - -42. Let y = 36 + n. What is the remainder when 82 is divided by y?
19
Let w be 9 + (0/2 - 4). Suppose -w*z = -2*z - 144. Let y(r) = -r**2 - 11*r + 7. What is the remainder when z is divided by y(-9)?
23
Suppose -117*s + 154 = -115*s. What is the remainder when s is divided by 31?
15
Let x(b) = 5*b + 33. Let n be x(-7). What is the remainder when 25 is divided by 2*(n + (-65)/(-10))?
7
Let y = 21 - 10. Let l = y + 13. What is the remainder when l is divided by 14?
10
Let t = -1357 + 1546. Calculate the remainder when t is divided by 53.
30
Suppose -51 = -2*g + 5*b, -2*b = -6*b - 12. What is the remainder when g is divided by 11?
7
Let b(w) = -w**3 + w**2 + w + 7. Suppose 14 = -2*x + 18. Suppose x*a - 42 = -6. What is the remainder when a is divided by b(0)?
4
Let k be (-48)/112 + (-1)/(7/137). Let g = k + 32. Calculate the remainder when 19 is divided by g.
7
Let h(f) = 30*f - 12. Calculate the remainder when 65 is divided by h(1).
11
Suppose -231 = 11*b - 14*b. Suppose -79 + 274 = 5*j. Calculate the remainder when b is divided by j.
38
Let b = -1085 - -1150. Calculate the remainder when 286 is divided by b.
26
Let l(j) = -2*j**3 + 12*j**2 + 31. Calculate the remainder when 95 is divided by l(6).
2
Suppose -x - o + 65 = 2*x, -5*x + 4*o + 80 = 0. Suppose 7*p - 1336 + 230 = 0. What is the remainder when p is divided by x?
18
Let j(k) = -6*k + 3*k - 7*k. What is the remainder when j(-5) is divided by (4 + 2)*9/2?
23
Let g be 1 + -4 + 1 - 2. Let i = g - -13. What is the remainder when 17 is divided by i?
8
Let c(h) = h**3 + 4*h**2 + 5*h + 6. Let p be c(-3). Suppose k + 93 = 5*o - p*k, -4*o = -5*k - 87. Calculate the remainder when o is divided by -1*5/(0 - 1).
3
Let i(q) = q**3 - 3*q**2 + 4. Let o be i(3). Suppose h = o*h + 2*u - 8, 5*h + 4*u = 14. What is the remainder when 9 is divided by h?
1
Suppose -h + 33 = 4*h + 4*o, 4*h - 2*o = 42. Suppose -5*k = -10*a + h*a - 77, 4*a = k - 4. Calculate the remainder when k is divided by 74/8 + 1/(-4).
7
Suppose -6*t = -2*t + 3*a - 189, 20 = -4*a. Let f(h) = h**3 + 9*h**2 - 43*h - 75. What is the remainder when t is divided by f(-12)?
6
Let h be 4/6 - 590/30. Let x = 32 + h. Calculate the remainder when 36 is divided by x.
10
Suppose 3*p - 157 = 5*w + 177, 5*w + 10 = 0. Suppose 0 = 2*c - 6, c = d - 6*d + 148. Calculate the remainder when p is divided by d.
21
Suppose 0 = 5*k - 2 + 12. Suppose 2*t - u + 75 = 6*t, 2*u = 5*t - 110. What is the remainder when (1/(-1))/(k/74) is divided by t?
17
Let w(k) be the second derivative of -k**3/2 - 3*k**2/2 - 3*k - 1. Let c = -6 + 4. What is the remainder when w(c) is divided by 1?
0
Let j = -252 + 655. Calculate the remainder when j is divided by 38.
23
Let h(c) = c**3 - 3*c**2 + 4*c - 4. Let j(x) = -132*x - 122. What is the remainder when h(4) is divided by j(-1)?
8
Let v(c) = 24*c**3. Let w be v(-1). What is the remainder when 43 is divided by ((-11)/(-2))/((-12)/w)?
10
Let k = -173 + 211. What is the remainder when 88 is divided by k?
12
Let t = -300 - -315. Calculate the remainder when 34 is divided by t.
4
Let b(p) = 0*p - 3*p - 9 - 8 - 2*p**2 + 3*p**2. What is the remainder when b(-6) is divided by 13?
11
Let a = 25 - -8. Suppose 33 = 5*x - 57. What is the remainder when a is divided by x?
15
Let p(y) = -7*y**3 - 2*y**2 - 2*y - 1. Let v be p(-1). Suppose -f + v*f - 25 = 0. Suppose 0 = -3*j + 42 + 12. Calculate the remainder when j is divided by f.
3
Let q(g) = 4*g + 18*g**2 + 9*g**2 + 3 + 0 + g**2. Calculate the remainder when q(-1) is divided by 10.
7
Suppose -5*a = -189 + 24. Suppose 2*d = -4*q + 38, 2*d = -q + 6 + 5. Calculate the remainder when a is divided by q.
6
Let s = 24 - 22. Suppose -68 = -2*p - s*p. Let t = 67 + -18. Calculate the remainder when t is divided by p.
15
Let i(y) = 18*y**2 + y. Let n(d) = -3*d**2 + 2. Let s be n(1). What is the remainder when 64 is divided by i(s)?
13
Calculate the remainder when 4 is divided by (-9)/24 + (-70)/(-16).
0
Suppose -6*i = -55 - 65. What is the remainder when i is divided by 9?
2
Suppose -3*n - 3*h + 257 = -112, -366 = -3*n - 4*h. What is the remainder when 484 is divided by n?
106
Suppose 0 = 29*p - 26704 - 8531. Calculate the remainder when p is divided by 53.
49
Let o(b) = -b**3 - 18*b**2 + 15*b - 21. Let g be o(-19). Suppose -5*a - 4*l = -0*l - g, -19 = -2*a - l. Calculate the remainder when 24 is divided by a.
3
Suppose -4*l - 5*p = -53, l + 53*p = 52*p + 13. What is the remainder when 166 is divided by l?
10
Let r(z) = z**2 - 3*z + 9. Let l(d) = 108*d**2 - 3*d + 1. Suppose 0 = 2*u - 8*u + 6. What is the remainder when l(u) is divided by r(6)?
25
Suppose 420 - 60 = 8*y. What is the remainder when 1169 is divided by y?
44
Let l(b) = 4*b**2 - 30*b - 11. Calculate the remainder when l(10) is divided by 32.
25
Let t(j) = j**2 + 3*j - 24. Let x be t(-12). Suppose -6 = -2*i, -i + x = 4*p - 5*i. Calculate the remainder when p is divided by 5.
4
Suppose 5*p + 12 + 3 = 0. Let f(k) = -4*k**3 - 2*k**2 - 4. What is the remainder when f(p) is divided by 22?
20
Let t(m) = -21*m - 363. Suppose 0 = r - 5*q - 20, 0 = 5*q - 2*q + 3. Calculate the remainder when t(-20) is divided by r.
12
Let h be ((-22)/(-10) + -1)*3565/62. What is the remainder when 25 is divided by h/4 + (22/8 - 3)?
8
Suppose -5*j + 8 = -j. Suppose 6*c - c = j*b + 14, 5*b = 3*c - 16. Suppose -f + 3*p - 11 = 0, c*f - 27 = -3*p - 4. What is the remainder when 5 is divided by f?
1
Suppose -5*n + 11 = 21. Let w(h) = h**3 + 6*h**2 - 2*h - 5. Calculate the remainder when (-414)/(-21) + n/(-7) is divided by w(-6).
6
Let o(m) = -m**3 - 7*m**2 - 7*m + 2. Let w be o(-6). Suppose -37 = -w*j + 91. Let d(g) = g**2 - 3*g. Calculate the remainder when j is divided by d(5).
6
Suppose -3*d = -5*b + 91, -4*d = 3*b - 8*b + 93. Calculate the remainder when 135 is divided by b.
16
Suppose -2*n = -7*n + 3*v + 15, -5*v - 25 = 5*n. Suppose n = -p + 3*i - 8 + 32, -2*p + i = -73. What is the remainder when p is divided by 10?
9
Let s = -379 - -551. What is the remainder when s is divided by 59?
54
Let u(o) = -o**3 + 12*o**2 + 10*o + 43. What is the remainder when u(13) is divided by 3?
1
Let h be (-20)/3 - 6/(-9). Suppose 158 - 156 = r. What is the remainder when 3/r*(-28)/h is divided by 5?
2
Suppose 24 = -0*p + 3*p. Suppose 0 = -3*s - 2*k + 35, k = 3*k - p. Calculate the remainder when ((-25)/15 + 2)*15 + (-2 - -21) is divided by s.
6
Let t(u) = u**2 + 16*u - 10. Let x be t(-15). What is the remainder when (4 - x/(-10))*38 is divided by 20?
17
Let w(k) = -k**2 + 15*k + 76. Let z = 12 - -1. What is the remainder when w(0) is divided by z?
11
Let l(k) = 5*k - 9. Let i be l(2). Suppose -2*v + 1 = s, -2*v - s = 2*s + i. Calculate the remainder when 3 is divided by v.
0
Let d(l) = -4*l**2 + 64*l - 27. Calculate the remainder when d(11) is divided by 53.
34
Let p be 1*6 - 0/5. Suppose -p*i + 86 + 28 = 0. What is the remainder when 72 is divided by i?
15
Suppose 3*c - 2*w + 3*w - 113 = 0, 0 = -2*c + 3*w + 90. What is the remainder when c is divided by 4?
3
Let l(a) = a. Let v(o) = -7. Let m(z) = 2*l(z) + v(z). Suppose 3*y + 0 = 36. Calculate the remainder when m(y) is divided by 7.
3
Let d(z) = -3*z + 33. Let i(w) = w**3 + 9*w**2 + 6*w. Let s be i(-8). Let p be d(s). What is the remainder when 59 is divided by 6/15 - 219/p?
14
Let x be (12/10)/(9/(-30)). Let o be 0 - 1 - (x - 2). Suppose b - 4*b = 4*r - 108, o*b - 180 = 4*r. Calculate the remainder when b is divided by 10.
6
Suppose 5*i + 4 = i. Let k = i + 6. Suppose 8 = k*z - 2, -z = p - 10. Calculate the remainder when 20 is divided by p.
4
Let f(y) = -3*y + 53. Let p be f(17). Suppose 3*b - 79 = 4*o, -3*o + 10 - 63 = -2*b. What is the remainder when -291*(1/(-6))/(1/p) is divided by b?
22
Let m = -124 + 207. Supp