r, 3*r - 9 = -0*r. Suppose t = 2*w - 91. Calculate the remainder when w is divided by 17.
15
Let a(u) = u**2 + 16*u + 25. Let d(i) = 5*i**2 + 81*i + 127. Let g(j) = -11*a(j) + 2*d(j). What is the remainder when 15 is divided by g(-11)?
3
Suppose -t - 4*a = -a - 607, -5*a + 2985 = 5*t. What is the remainder when t is divided by 35?
32
Suppose 0 = 410*j - 407*j - 234. Calculate the remainder when j is divided by 30.
18
Suppose -5*l - 2*h = -230 + 87, -3*l = -5*h - 92. Suppose b = -11 + 27. Calculate the remainder when l is divided by b.
13
Suppose 16*t = 214 + 938. Calculate the remainder when 136 is divided by t.
64
Let v(x) = x - 21. Suppose 0 = 3*d + 5*d - 48. What is the remainder when d is divided by v(25)?
2
What is the remainder when 330 is divided by (-1)/(-4)*(2 - (-2768)/8)?
69
Suppose -134 = 3*k - 4*g, -2*k + 5*g + 0*g = 101. What is the remainder when ((-12)/(-7))/((20/4)/105) is divided by k/(-5)*(-15)/(-6)?
17
Let m = -199 + 422. Calculate the remainder when m is divided by 45.
43
Let j = 97 - 60. Let k = j + -21. Suppose -k = -4*c - 0*c. Calculate the remainder when 7 is divided by c.
3
Let b = 994 + -398. What is the remainder when b is divided by 15?
11
Let g = 1180 - 1163. Calculate the remainder when 228 is divided by g.
7
Suppose -d = -31*d + 3480. Calculate the remainder when d is divided by 30.
26
Suppose -2 = -2*v + v. Suppose -2*i + 34 = v*w, -5*w - i + 97 = i. Calculate the remainder when 54 is divided by w.
12
Let y(d) = 2*d**3 + 2*d**2 - d + 54. What is the remainder when y(0) is divided by -21*(2 - 32/12)?
12
Let l(g) = 4*g - 26. Let t be l(5). Suppose 3 - 6 = -v. What is the remainder when -18*(4/t)/1 is divided by v?
0
Let i = 9 + -7. Let y = i + 0. Suppose -l + 2*l - y = 0. Calculate the remainder when l is divided by 1.
0
Let k(f) = -f**3 - 6*f**2 - 7*f - 48. What is the remainder when k(-8) is divided by 75?
61
Suppose 2*s + 4 = 16. Calculate the remainder when 9 is divided by s.
3
Let y(d) be the second derivative of 1/6*d**3 + 0 + 5*d - 5/2*d**2 - 11/12*d**4 + 1/20*d**5. Calculate the remainder when y(11) is divided by 4.
2
Suppose 72 = 195*f - 191*f. What is the remainder when 62 is divided by f?
8
Suppose -4*u + 42 = -18. What is the remainder when u is divided by 6/2 + (5 - 5)?
0
Suppose -7*s - 4*s = -297. What is the remainder when 74 is divided by s?
20
Let c = 73 + -51. Calculate the remainder when 51/153*(-1 + 262) is divided by c.
21
Suppose 39*i - 288 = 30*i. What is the remainder when i is divided by 20?
12
What is the remainder when 261 is divided by -1 + 2 + 1 + 132?
127
Suppose -3*x + 15*x = 468. What is the remainder when x is divided by (-1192)/(-56) + (-4)/14?
18
Suppose 24*d - 1210 = 1238. Calculate the remainder when d is divided by 13.
11
Let j = -286 - -131. Let a = 225 + j. What is the remainder when a is divided by 12?
10
Let d = 75 - 4. What is the remainder when d/((-12)/(-3) - 3) is divided by (0 - (-74)/3)/((-6)/(-9))?
34
Suppose -2*w + 43 = d - 281, 5*w - 810 = -3*d. Calculate the remainder when w is divided by 18.
0
Let v = 2008 + -2000. Calculate the remainder when 363 is divided by v.
3
Let s(t) = -16*t + 1. Let u be (-5)/2*(-2)/1. Suppose 6 = -0*o + 2*o + 4*f, 0 = 5*o + 5*f - u. What is the remainder when 33 is divided by s(o)?
16
Let g = 248 - 411. Let w = g + 240. Calculate the remainder when w is divided by 13.
12
Let w(s) = s + 12. Let l be w(-5). Suppose -12 - 86 = -l*o. What is the remainder when 53 is divided by o?
11
Suppose -8*m = -289 - 135. Calculate the remainder when m is divided by 10.
3
Suppose -9*z = -323 - 1. What is the remainder when 259 is divided by z?
7
Suppose 0 = -345*r + 346*r - 52. What is the remainder when r is divided by 19?
14
Let p = -4 + 13. Let n = -5 + p. What is the remainder when n is divided by (11/(-4) - (36 + -39))/(10/80)?
0
Suppose 0 = 5*h - 3 - 2. Let v(o) = -2*o**3 + 2*o - 1. Let r be v(h). Calculate the remainder when 11 is divided by 0 + r + 20/4.
3
Let v(h) = -h**2 - h - 15. Let g be v(0). Let t(c) = c + 37. What is the remainder when 107 is divided by t(g)?
19
Let x = -19 - -36. Suppose -4*n - u + 21 = 0, 2*n - 5*u + x = -0*u. Calculate the remainder when ((-116)/6)/(n/(-6)) is divided by 10.
9
Let o(p) = p**3 + 11*p**2 + 13*p - 4. Let z = -1 - 46. Let v = z - -38. Calculate the remainder when o(v) is divided by 15.
11
Let q(k) = -8*k + 3*k**2 - 5 + 10 - 2*k**2. Let m be q(5). Calculate the remainder when (-384)/m - (-2)/(-5) is divided by 13.
12
Suppose -83 + 236 = y. Let t(n) = -15*n**2 - 223*n + 44. What is the remainder when y is divided by t(-15)?
13
Let h = -15 - -110. What is the remainder when h is divided by 16?
15
Let j = -4 - -84. Calculate the remainder when 475 is divided by j.
75
Let j be 182 + (0 + -1)*-1. Suppose -453 = -5*a - 3*u - j, -2*a = -4*u - 108. Let t = -19 + a. Calculate the remainder when 69 is divided by t.
34
Suppose -5*r - 5 + 74 = 3*u, -9 = -3*r. Calculate the remainder when 105 is divided by u.
15
Suppose -144*s + 138*s = -12. Suppose 3*r = -12, 30 = s*i + 3*r - r. Calculate the remainder when -2 + (0 - -1) - -37 is divided by i.
17
Let x(m) = -11*m**3 + 0*m - 2*m**2 + m + 4*m**3 + 1. What is the remainder when x(-2) is divided by (-12)/((-3)/(6 + -3))?
11
Suppose q - 418 = -4*a, -4*a + 3*q + 573 = 163. What is the remainder when a is divided by 29?
17
Let w = 6 - -6. Let x = w + -36. Let g = -14 - x. Calculate the remainder when 39 is divided by g.
9
Suppose -4*g = -2*v + 3 + 83, 0 = -v + 4*g + 43. What is the remainder when v is divided by 23?
20
Suppose 0*b = -3*k - b + 11, 2*k + 2*b = 14. What is the remainder when 33 is divided by 16 + -2 - (0 + k)?
9
Suppose 0*r - 2838 = -22*r. What is the remainder when r is divided by 31?
5
Suppose 3*c = 4*u + 112, u = c - 6*c - 51. Let n = 80 + u. Calculate the remainder when n is divided by 17.
15
Calculate the remainder when 105 - (-8 + 20/5) is divided by (-45 - -3)/(3/(-2)).
25
Let y = 313 - 203. Suppose 5*t + 2*z = 166, -5*z + 29 - y = -3*t. What is the remainder when 61 is divided by (18/(-3))/((-12)/t)?
13
Let n(t) = -9*t - 109. Let z(k) = k**3 + 11*k**2 - 2*k - 9. Let a be z(-9). Let r = -122 + a. Calculate the remainder when r is divided by n(-15).
23
Let z be 2428 + -1 - (-3 + -1). Suppose z = 16*p - 5*p. Calculate the remainder when p is divided by 37.
36
Suppose 2*c = 5*b - 1288 + 311, b = -2*c + 193. Calculate the remainder when b is divided by 28.
27
Let v be (-4)/(-18) - 16/72. Suppose -4*q = 5*b - 28, 4*b = -3*q - v*q + 22. Suppose -b*a + 97 = 9. What is the remainder when a is divided by 8?
6
Let n(s) = -9*s + 163. What is the remainder when 385 is divided by n(7)?
85
Suppose 5*t - 4*t = 104. Suppose -2*r = -4*r + t. Suppose -3*m - k + 113 = 0, -2*m + 20 + r = 4*k. Calculate the remainder when m is divided by 13.
12
Let z be 7 - 2 - 0*3/(-6). Suppose 0 = z*u + g - 158, 4*u + 40 = 5*u - 4*g. What is the remainder when 94 + (2 - 1)/(-1) is divided by u?
29
Let z = -26 + 102. Suppose 0 = y + z - 94. Calculate the remainder when 23 is divided by y.
5
Let w(d) = -d**3 + 2*d + 0*d - 4*d - 8 + 5. What is the remainder when 42 is divided by w(-2)?
6
Calculate the remainder when 40/(-15) - (-37472)/48 is divided by 78.
76
Let r = -426 + 443. Let o = -2 - -5. Let d(g) = 16*g. What is the remainder when d(o) is divided by r?
14
Let t = -365 + 410. Calculate the remainder when 120 is divided by t.
30
Let i = 10 + -2. Suppose -25 = -5*t, -3*r + 0*r - 8 = 5*t. Let j = 14 + r. Calculate the remainder when i is divided by j.
2
Suppose -2*m + 3 = -41. Suppose 338 = 5*u + 2*w - 325, w - 4 = 0. What is the remainder when u is divided by m?
21
Let t = 122 + 547. Calculate the remainder when t is divided by 48.
45
Suppose 7*v - 4*v = x + 185, 5 = 5*x. Let n = v - 59. Calculate the remainder when n is divided by 2.
1
Let i be ((-72)/24)/(1/10). What is the remainder when (384/i)/(2/(-5)) is divided by 17?
15
Suppose -r - 30 = -3*r. Suppose 144*g = 131*g + 767. Calculate the remainder when g is divided by r.
14
Let o(w) = -16*w**3 - 3*w**2 - 3*w - 1. Suppose 0 = -56*f + 196 + 980. Calculate the remainder when o(-2) is divided by f.
16
Let h(u) = -3*u**2 - 35*u - 11. Calculate the remainder when 69 is divided by h(-11).
3
Suppose -18*d = -12 - 276. Suppose 54 = 5