et z(k) = -k**2 + 5*k + 4. Suppose 0 = 3*n - 4*i - 5, -4*n - 5*i = -2*i - 15. Let p = -418 - -421. Calculate the remainder when z(n) is divided by p.
1
Let r(h) = -2*h**3 - 8*h**2 - 2*h + 9. What is the remainder when r(-5) is divided by 35?
34
Let b(d) = -d + 15. Let c be b(11). What is the remainder when c/10 - (2 - 1066/10) is divided by 18?
15
Let s be (-1 - (-12)/16) + (-130)/(-8). Suppose 51 - 131 = -s*k. What is the remainder when 16 is divided by k?
1
Let o = 1496 - 1489. What is the remainder when 107 is divided by o?
2
Let u = -568 + 575. Suppose 2*h + 334 = 5*v - 30, 382 = 5*v + 4*h. What is the remainder when v is divided by u?
4
Suppose 3*j + 2*j = -2*w - 539, 4*w = j - 1067. Let d = 184 + w. What is the remainder when 1 + (d/1)/(-1) is divided by 17?
16
Suppose 34 = i - 0*i + q, 180 = 5*i + 3*q. Let h(c) = 66*c - 1833. What is the remainder when i is divided by h(28)?
9
Let n be (-2)/(-6) - -1*2/(-6). Suppose n = -3*f + 71 + 52. What is the remainder when 161 is divided by f?
38
Let y = 2405 + -1125. Calculate the remainder when y is divided by 21.
20
Suppose 0 = 5*t - 39 + 14. Let k(s) = s**2 + s - 1. Let l = 25 - 22. What is the remainder when k(l) is divided by t?
1
Let i be ((-306)/(-27))/(4/30). Let c = -186 + i. Let a = c + 142. Calculate the remainder when a is divided by 11.
8
Let k(i) = i**3 - 6*i**2 - 11*i - 1. Let a(v) = -v**3 + v**2 + 2*v - 4. Let p be a(2). What is the remainder when k(8) is divided by (0 - -10)*(6/(-2) - p)?
9
Let q = 46 + -85. Let y = -19 - q. Suppose 4*u = 8 + y. What is the remainder when 18 is divided by u?
4
Let n = -128 + 67. Let j = n + 114. What is the remainder when j is divided by 18?
17
Calculate the remainder when 3/(9/22)*(-2565)/(-90) is divided by 54.
47
Let d = -82 + 84. Calculate the remainder when (113/d)/(9/2 - 4) is divided by 38.
37
Let j = 2766 + -2732. What is the remainder when 138 is divided by j?
2
Let s = 386 - 361. Calculate the remainder when s is divided by 9.
7
What is the remainder when 571 is divided by 64/16 + 1*-6 + 280?
15
Let c be (357 + -4 + 4)*1/3. Suppose 124*d - c*d - 35 = 0. What is the remainder when 248/14 + (-4)/(-14) is divided by d?
4
Let d = 3 + 0. Let l = 0 + d. Let s = 10 - l. What is the remainder when 20 is divided by s?
6
Suppose g + 3 + 1 = 0. Suppose 0 = -6*m + m + 20. Calculate the remainder when (m + -6)/(2/g) is divided by 2.
0
Let n(o) = o**2 + 4*o - 2. Let m be n(-4). Let h be 1*m*(-1 - 1). Suppose 3*y + 125 = p - y, 3*p = -h*y + 455. What is the remainder when p is divided by 37?
34
Suppose -3*v + 33 = 2*u, -v + 57 = 3*u + v. Let y(l) = l**3 + 18*l**2 - 45*l - 484. Calculate the remainder when u is divided by y(-19).
1
Let m = 33 - 22. Suppose 7*g = 5*g + 6. Suppose 4*q - 2*z - 41 = g*q, -124 = -3*q + 5*z. What is the remainder when q is divided by m?
10
Let p = -1 + 6. Let x be (-31)/(-11) - (-4)/22. Suppose -l + x*s + 17 = 0, -4*s + 3*s - 51 = -3*l. Calculate the remainder when l is divided by p.
2
Let h(z) = 7*z + 36. Let j(c) = -8*c - 37. Let t(w) = -6*h(w) - 5*j(w). What is the remainder when 14 is divided by t(-18)?
4
Let o(q) = 11*q**2 - q - 1. Let d(h) = -h**2 - 4*h. Let u be d(-4). What is the remainder when (1 - -1 - u) + 19 is divided by o(-1)?
10
Suppose f - 2*m = 11, -3*f - m = 2*f - 22. Suppose 12 = 2*h - 6*h - 2*x, -3*h = 3*x + 3. Let n = 9 + h. Calculate the remainder when f is divided by n.
1
Let m = -29 + 4. Let b = -10 - m. Let r = -5 + 9. What is the remainder when b is divided by r?
3
Suppose 7*n + 362 = -296. Let h = n - -158. Let q = 27 - 5. What is the remainder when h is divided by q?
20
Suppose 4*w = 20*w - 2720. What is the remainder when w is divided by 30?
20
Suppose -3*f - 3 = -12. Let h(y) = y + 25. Let o be h(-8). Let g = o - 10. What is the remainder when g is divided by f?
1
Let u = -6 + 3. What is the remainder when 182 is divided by 16/(-4) - ((-31 - u) + 1)?
21
Let k be (-8 + 37/2)*12. Suppose l - 12 = -3*w + 19, -4*l + 4*w + 108 = 0. What is the remainder when l/k + 662/18 is divided by 19?
18
Let p = -425 + 497. What is the remainder when p is divided by 11?
6
Let w(u) = u + 40. Calculate the remainder when 91 is divided by w(-19).
7
Let s = -436 + 484. Let u(f) = -f**3 + 4*f**2 + 4*f - 1. Let n be u(4). Suppose -2 = -p + n. What is the remainder when s is divided by p?
14
Let k = -55 - -109. Let o be (15/20)/(-2 - 9/(-4)). Calculate the remainder when k is divided by (-4*(-1)/(-2))/(o/(-21)).
12
Suppose 3*f + 0*f - 129 = 0. Let q = -1220 + 1235. What is the remainder when f is divided by q?
13
Suppose -2*z + 0*z + 260 = 3*l, 0 = 2*l + 3*z - 165. Let p = 132 - l. What is the remainder when p is divided by 22?
20
Let k be 186 - -2*3/6. Let q = k + -119. What is the remainder when q is divided by 14?
12
Suppose -5 = -2*j + 7. Suppose j*q - q = 20. Suppose 15 + q = y. Calculate the remainder when y is divided by 10.
9
Let s be ((-8)/10)/(32/(-400)). Suppose 5*k = -w + 4 + s, 3*w - 31 = -4*k. What is the remainder when 35 is divided by w?
8
Suppose -4*v = 14*v - 234. Calculate the remainder when 33 is divided by v.
7
Let h(s) = 5*s**2 + s + 4. Let b(p) = p**3 + 2*p**2 + p - 1. Suppose 0*l = l + 2. Let k be b(l). Calculate the remainder when h(k) is divided by 12.
10
Suppose 7*c - 615 = -8*c. Calculate the remainder when 72 is divided by c.
31
Let j(p) = -p**2 + 5*p. Suppose 3*r + 6 = 5*r. Suppose -3*u + 6*u = r. Calculate the remainder when j(4) is divided by u.
0
Let z(p) = p**3 - 18*p**2 + 6*p - 86. Calculate the remainder when z(18) is divided by 5.
2
Suppose -28*t + 33*t - 70 = 0. Suppose -2*x + 5*j - 14 = 3*j, -4*j = 3*x + 21. What is the remainder when 58 is divided by (x/t)/(3/(-60))?
8
Let x(d) = -d**3 - 10*d**2 - 10*d + 7. Let c be x(-8). Let b = -92 + c. Let j = -78 - b. What is the remainder when j is divided by 28?
27
What is the remainder when (-138)/(-8) + 1/(-4) is divided by -13 + (-7 - -18) + 6?
1
Suppose 3*k = f + 2*f - 6, -10 = 4*f + 5*k. Suppose f = -n - 3 + 30. What is the remainder when (n/(-2))/((-3)/6) is divided by 7?
6
Calculate the remainder when ((-1088)/(-10))/(6/15) is divided by 7.
6
Suppose -x + 206 = -4*g, 2*g - 215 = 4*x - 1067. Calculate the remainder when x is divided by 76.
62
Let f = 24 + 37. Let a = f - 49. What is the remainder when a is divided by 8?
4
Let g = 275 + -191. Suppose -2*x - g = -7*x + 2*d, x - 33 = -5*d. Calculate the remainder when x is divided by 7.
4
Let a = 13 - 15. Let y be (a/4)/((-3)/72). Suppose 3*g + y = 0, -5*q + 50 = g - 181. What is the remainder when q is divided by 16?
15
Let u be 1/((3 - 2)/4). Let l be (-3 + -1)/u*-4. Suppose l*i - 237 = i. Calculate the remainder when i is divided by 20.
19
Let i(y) = y**2 - 19*y - 68. What is the remainder when 95 is divided by i(23)?
23
Let y = -12 - -7. Calculate the remainder when ((-20)/(-16))/y*-36 is divided by 6.
3
Calculate the remainder when 77 is divided by (-264)/(-10) + (-33)/(-55).
23
Suppose 3*x + 5*c + 413 = 0, -3*x + 3*c + 0*c = 405. Let w = -124 - x. What is the remainder when 58 is divided by w?
10
Let g = -497 - -522. What is the remainder when g is divided by 23?
2
Let j(z) = -2 - 8*z**2 + 5*z - z**2 - z**3 + 3*z**2. What is the remainder when 21 is divided by j(-7)?
9
Suppose 0 = r - 3, -g + 3*r = g + 3. Suppose 90 = 3*v - g*d - d, -3*d = 3*v - 69. Calculate the remainder when v is divided by 10.
6
Let p = -39 - -44. Calculate the remainder when 20/8*15 - 6/(-4) is divided by p.
4
Suppose 6*x - 12 = 2*x. Suppose 3*v = -5*h - 2*v + 65, 2*h - 28 = -x*v. Calculate the remainder when h is divided by 6.
5
Suppose -r = -0*a - a, -a + 2*r = 2. Suppose -2*m - a = 0, -4*g + 0*m - 4*m = -152. What is the remainder when g is divided by 10?
9
Let v(h) = h**3 - 10*h**2 + 12*h - 17. Let u be v(9). Suppose -u*i = 11 - 91. What is the remainder when 77 is divided by i?
5
Suppose 2*b = -7*j + 12*j - 93, j - 17 = 2*b. Let u = -4 - -9. Let x(h) = 6*h + 4. Calculate the remainder when x(u) is divided by j.
15
Suppose -2*o + 95 = 5*z, -2*z - 7*o + 84 = 15. Calculate the remainder when 30 is divided by z.
13
Let l = -66 - -68. Suppose 0 = l*d + 5*v - 44, 0 = -5*d + v - 0*v + 83. Calculate the remainder when 65 is divided by d.
14
Suppose 1 = -j + 14. Suppose -j*s + 9*s = -128. Calculate the remain