lculate the remainder when ((-16)/(-10) + w)*5 is divided by k.
2
Suppose 98 = 3*q - 2*z, -4*z + 2*z - 8 = 0. Suppose -q*k + 235 = -25*k. What is the remainder when k is divided by 6?
5
Suppose -19 = -8*g + 117. Calculate the remainder when 116 is divided by g.
14
What is the remainder when 43 is divided by 111/259 + 33/21?
1
Let f = -1 - -18. Suppose 0*z - 68 = -4*z. What is the remainder when 0 - 2 - z*-2 is divided by f?
15
Let r be (6/1)/(84/(-32) - -3). Let i = 35 - r. Suppose -3*z - 7*w = -2*w - 229, -w = z - 75. Calculate the remainder when z is divided by i.
16
Let y(z) = z**3 + 8*z**2 + 8*z + 9. Calculate the remainder when 170 is divided by y(-3).
20
Suppose -u = -5*k - 10, 4*k + 20 = 2*u + k. Suppose 0 = t - u + 8. Suppose -2*h = 2*h - 28. What is the remainder when h is divided by t?
1
Let j be (0 + 1)*(8 - 9). Calculate the remainder when 1 + (-62)/(j - 0) is divided by 16.
15
Suppose 0 = -4*j - h - h - 18, -3*h = 3*j + 18. What is the remainder when 34 is divided by (j + 2 - -14) + -4?
7
Suppose -5*r + 0*j = -4*j - 76, -36 = -4*r - 3*j. Let f(s) = 5*s + 299. Calculate the remainder when r is divided by f(-58).
3
Suppose -3*v + 10*j = 8*j - 158, 2*v + 3*j - 88 = 0. What is the remainder when 165 is divided by v?
15
Let r(o) = 3*o**2 + 89*o + 182. What is the remainder when 217 is divided by r(-2)?
9
Suppose 83*o - 189 = 76*o. What is the remainder when 104 is divided by o?
23
Let a = 24 + -13. Let y(g) = -3*g**2 + 6*g + 2. Let r be y(4). Let h = r + 43. Calculate the remainder when h is divided by a.
10
Suppose i + 21 = 3*h, -2*h + 14 = 4*i - 8*i. What is the remainder when 80 is divided by h?
3
Suppose 2 = 4*l - 6. Suppose l*i - i = 0. Let v(f) = f**3 - f**2 + f + 15. What is the remainder when v(i) is divided by 9?
6
Let q(o) = 3*o + 67. Calculate the remainder when q(-20) is divided by 4.
3
Suppose -5*a = -5*b - 920, 8*a - b + 359 = 10*a. What is the remainder when a is divided by 47?
40
Suppose 0 = 29*k - 688 - 4445. What is the remainder when k is divided by 62?
53
Suppose 0 = -11*y - 29*y + 320. What is the remainder when 20 is divided by y?
4
Suppose -37 = 2*r + 3*v, 0*r - 4*v = 2*r + 40. Let o be (26/(-4))/(7/r). Let u = 16 - o. Calculate the remainder when 4 is divided by u.
1
Suppose -u + 162 = 5*u. What is the remainder when u is divided by 17?
10
Suppose -19*h + 14424 = -605. Calculate the remainder when h is divided by 22.
21
Suppose -104 = -2*b - 4*d, -b + 36 = -2*d + 4. Suppose 0 = -9*k + 6*k + 432. Let v = -133 + k. What is the remainder when b is divided by v?
9
Let n(z) = 18*z**2 - 4. Let y be n(-4). Suppose p = -3*p + y. What is the remainder when p is divided by -2*(-19)/2 - 1?
17
Let w(k) = k + 77. What is the remainder when 898 is divided by w(-17)?
58
Suppose 13 + 32 = -3*c. Calculate the remainder when 2 + c/3 + 20 is divided by (-6)/4*40/(-12).
2
Let i = -227 - -236. What is the remainder when 35 is divided by i?
8
Let j(b) = b**2 + 2*b + 71. Let n be j(0). Let l = -58 + n. Calculate the remainder when 64 is divided by l.
12
Let l be 1/(-4) + 154/8. Suppose 5*p = 5*r + 75, p + 3*r - l = 2*r. What is the remainder when p is divided by 5?
2
Let h = -2225 + 2227. Calculate the remainder when 259 is divided by h.
1
What is the remainder when -1 + (-381)/(-9) - (-18)/27 is divided by 2/(-3)*((-86)/4 + 5)?
9
Suppose 3*u - 6 = -0, 68 = 4*b + 4*u. Let o(c) = c**2 + c + 29. Suppose 0 = -8*w + 5*w. What is the remainder when o(w) is divided by b?
14
Suppose -4*b + 230 = b. Suppose 0 = 5*q + 4*t - b, -3*t - 6 = -3*q + 27. What is the remainder when 79 is divided by q?
9
Let t(j) = -249*j + 3*j**2 + 3 - j**3 - 4*j**3 + 253*j. What is the remainder when t(-2) is divided by 10?
7
Let u = 15 - 3. Suppose -4*b = -b - u. Let r(z) = 3*z**2 - 2*z - 9. What is the remainder when r(b) is divided by 17?
14
Suppose 3*p - 21 = 2*p. Suppose 0 = 12*y - 1445 + 953. What is the remainder when y is divided by p?
20
Suppose 16*r - 2418 + 786 = 0. What is the remainder when 397 is divided by r?
91
Let m = -522 + 578. What is the remainder when 166 is divided by m?
54
Let c be (-477)/(-18) - (2/4 - 0). Suppose -22*t - 48 = -c*t. What is the remainder when 19 is divided by t?
7
Calculate the remainder when (-1569)/(-9)*-3*(4 + -5) is divided by 75.
73
Let n be 9/(-6) - 117/6. Let z be 2 + 8/12*n. Calculate the remainder when 140/z*(1 + -4) is divided by 13.
9
Let u = -189 + 273. Suppose 0 = 8*k - 89 - 47. Calculate the remainder when u is divided by k.
16
Let s = 18 - 15. Let y be s/((-6)/(-52)) - 2. Suppose -2*f = -5*l + 27 + y, l = 4*f + 3. Calculate the remainder when l is divided by 7.
4
Let n(v) be the third derivative of v**4/12 - 7*v**3/3 - 11*v**2. Calculate the remainder when 8 is divided by n(8).
0
Let c = -242 + 259. Let l(z) = -z. Let o be l(-5). Suppose -o*g + 339 = -w, g - 6*g = -2*w - 343. What is the remainder when g is divided by c?
16
Let b = 17 - 6. Suppose t + 0 = 2*c + 2, -c + 8 = t. Let l = 13 + t. Calculate the remainder when l is divided by b.
8
Let j(o) = 3*o + o + 15 - 5*o + 3*o. Calculate the remainder when j(6) is divided by 6.
3
Let i = -20 + 24. Suppose -4*b = -128 - i. What is the remainder when b is divided by (-1)/(-2 - 132/(-68))?
16
Suppose 4*k - 5*a = -335, 3*k - k - a + 169 = 0. Let i = k - -102. Calculate the remainder when 133 is divided by i.
14
Let m(o) = -2*o**2 - 23*o + 262. What is the remainder when m(0) is divided by 66?
64
Let g(v) = -24*v - 15. What is the remainder when 240 is divided by g(-4)?
78
What is the remainder when 1666 is divided by (2/(-6))/(136/(-4896))?
10
Suppose 3*u - 4*l - 154 = -2*l, -2*u + 4*l + 116 = 0. Suppose 24 + u = 4*i. Calculate the remainder when i is divided by 7.
4
Let i = 7 - 3. Suppose i*a = -a - 20. Let c(h) = h**3 + 6*h**2 + h + 2. What is the remainder when c(a) is divided by 16?
14
Let m(k) = 30*k**2 + 2. Let x be m(2). Suppose -5*q - 4*p = -x, -100 = -4*q - p - p. Calculate the remainder when 95 is divided by q.
17
Suppose -5*a - 4*i + 67 = -78, 3*a + 2*i - 85 = 0. Calculate the remainder when a is divided by (39/(-12))/(1/(-4)).
12
Let d(c) = -3*c - 14. Let s be d(-8). Suppose 188 - 28 = s*m. Let q = 112 + -68. What is the remainder when q is divided by m?
12
What is the remainder when 190 is divided by 58 + -58 - 8*-1?
6
Suppose 16*n = 10*n + 24. What is the remainder when 138 is divided by n?
2
Suppose 3*v = -v, k - v - 3 = 0. Let u = -3 + k. Suppose u = -2*q - 2*q + 88. Calculate the remainder when 42 is divided by q.
20
Let w(f) = f - 8. Let g be w(0). Let k = -8 - g. Suppose 4*m + h - 33 = k, -5*m + h + 43 - 4 = 0. What is the remainder when 31 is divided by m?
7
Let o be (68/5)/((-2)/(-5)). Let i(z) = 3*z - 2*z - 24 + o. Calculate the remainder when i(8) is divided by 7.
4
Let t = 409 + -386. What is the remainder when 177 is divided by t?
16
Let b(w) = -72*w - 260. What is the remainder when b(-5) is divided by 57?
43
Let j(u) = -u**3 - 22*u**2 - 26*u - 29. What is the remainder when j(-21) is divided by 11?
10
Let w(u) = u**3 + 3*u**2 - 1. Let x be w(-2). Let z be -6 - (-48)/18*3. Suppose x*a - 40 = -z*a. Calculate the remainder when 13 is divided by a.
5
Let d(i) be the third derivative of i**5/12 + i**4/24 - 17*i**3/6 + 2*i**2 + 42*i. What is the remainder when 116 is divided by d(-4)?
57
Let k = 212 + -180. Suppose -2*c = 5*g - 85, g + 34 = 3*g + 5*c. Calculate the remainder when k is divided by g.
15
Let d(i) = 41*i**2 + i. Suppose 5*j = j - 16, -4*y - j = 8. Let a be d(y). Suppose -14 = -2*n + a. What is the remainder when n is divided by 10?
7
Let n(h) = h**2 - 2 + 2 + 2. Suppose -a = 5*w + 5, 6*w + 25 = -5*a + 4*w. What is the remainder when n(a) is divided by 10?
7
Let k = 0 - 0. Suppose 3*q + 11 + 25 = k. Calculate the remainder when 47 is divided by 73/3 + 4/q.
23
Let h(t) = t**3 - 18*t**2 + 88*t + 9. Calculate the remainder when h(7) is divided by 23.
17
Let f = -446 - -488. What is the remainder when f is divided by 16?
10
What is the remainder when 262 is divided by ((-4)/(-5))/((-86)/(-1505))?
10
Let z be (-1 + -6)*(-3 - 4). Let u = z + -15. Calculate the remainder when u is divided by 7.
6
Suppose 3*j = 5*m - 5, 2*j + 1 + 2 = 3*m. Suppose j = t + 2*t - 30. Calculate the remainder when 37 is divided by t.
7
Suppose 3*v = -4*u - 