- 51. Calculate the remainder when d is divided by n.
14
Suppose 2*s + 0*a + 2*a - 22 = 0, 4*a - 8 = 2*s. Suppose o + s + 8 = 0. Let g = 36 - o. Calculate the remainder when g is divided by 17.
16
Let q(b) = 2*b**2 + 24*b + 37. Suppose -5*p + 3*y + 117 = 0, 5*y = -5*p + 43 + 42. What is the remainder when q(-12) is divided by p?
16
Let z be 0 - 4*2/(-4). Suppose -z*j - j = 0. Suppose -4*r + j*r = -32. Calculate the remainder when 31 is divided by r.
7
Let p(y) = 8616*y - 8621*y - 26 - 24. Let z = 10 - -11. Calculate the remainder when p(-18) is divided by z.
19
Suppose 3*l = 2*n - 36 - 67, 0 = 2*l - 3*n + 67. Let o = l + 46. What is the remainder when 21 is divided by o?
10
Suppose -55*x = -3442 - 4808. What is the remainder when x is divided by 94?
56
Let j be (-1)/2*(-6464)/32. Let s = j - 55. Suppose -s = -5*l + 29. Calculate the remainder when 147 is divided by l.
12
Let r = -252 - -327. Suppose 190 = -4*s + 9*s. Calculate the remainder when r is divided by s.
37
Let i(m) = -m**3 - 3*m**2 - 5*m + 5. Suppose -5*q = -2*g + 40, 5 = -5*g + 30. What is the remainder when i(q) is divided by (-372)/403*(-18 + -20 + 25)?
11
Let l be ((-40)/15)/(-8)*-6. Let o be (-416)/(-26) + l + (-1)/(-1). Let k = o - 9. What is the remainder when 23 is divided by k?
5
Let v(x) = x**2 + 40*x + 285. What is the remainder when v(-7) is divided by 2?
0
Let h(s) = 2*s + 74. Let y(n) = n**3 + 11*n**2 - n - 11. Let q be y(-11). Suppose -l - 2*l + 231 = q. What is the remainder when l is divided by h(-17)?
37
Let a = -26540 - -26586. Calculate the remainder when 240 is divided by a.
10
Let j(i) = 4*i + 8*i - 35 - 31*i - 28. What is the remainder when j(-5) is divided by 11?
10
Suppose -5*l + 4*p + 263 = 0, l + 3*p + 50 = 114. What is the remainder when 209 is divided by l?
44
Suppose -4*f + 35 = -25. Let a(n) = -10*n - 29. Let p(u) = -2. Let b(m) = a(m) + 4*p(m). What is the remainder when b(-8) is divided by f?
13
Let o = 30 - 21. Suppose -92 = -o*f + 5*f. Let j = 66 + 1. What is the remainder when j is divided by f?
21
Let l = -9630 + 9727. Suppose 4*p - 7*p + 30 = 0. What is the remainder when l is divided by p?
7
Let m be (-441)/3 + (14 + -7 - 5). Let v = 319 + m. Calculate the remainder when v is divided by 36.
30
Suppose -14*j + 148 = 2*o, -6 = 2*o + 2*j - 94. Let k = -7 + 32. What is the remainder when o is divided by k?
14
Let d = -3371 - -3411. Calculate the remainder when 59 is divided by d.
19
Suppose -7936 = -29*i - 3*i - 96*i. What is the remainder when 979 is divided by i?
49
Suppose -3328*c = -3356*c + 64232. Calculate the remainder when c is divided by 110.
94
Let d = 662 - 412. Let c = d - 182. Calculate the remainder when c is divided by 35.
33
Calculate the remainder when (-2)/9 + 42355/45 is divided by ((-403)/(-975) + 2/(-25))*123.
39
Suppose 20*r = 8*r + 1704. Suppose -3*t = t - 3*v - r, 0 = -t + 5*v + 44. What is the remainder when t is divided by 6?
4
Let q(c) = 3*c - 2. Let v(g) = -30*g + 152. Let d(z) = -q(z) - v(z). Calculate the remainder when d(9) is divided by 19.
17
Let m(w) = 188*w**2 + 209*w + 210. What is the remainder when 2455 is divided by m(-1)?
187
Let c(b) = -b**3 - 14*b**2 - 3*b - 9. What is the remainder when c(-15) is divided by -52*10/40 + 46?
30
Let s(u) = 6*u. Let q be 1/3*(-5 - -23). Let p be s(q). Suppose -p*x = -33*x - 96. Calculate the remainder when x is divided by 4.
0
Let f be 73 - 47 - 2/(-2). Suppose -f*q + 3204 = 9*q. Calculate the remainder when q is divided by 33.
23
Let n(z) = -29*z + 2. Let y = 66151 - 66119. What is the remainder when n(-2) is divided by y?
28
Let g(o) = -79*o + 2157. Calculate the remainder when g(26) is divided by 25.
3
Suppose 3*z = 13 + 44. Suppose 0 = 3*t + 5*y + 48, -27 + 2 = 2*t + y. Let i(p) = -5*p + 36. Calculate the remainder when i(t) is divided by z.
15
Suppose 10*b = 9*b + 39. What is the remainder when b is divided by ((-55)/3)/((-250)/150)?
6
Suppose 721 = -25*p + 1396. What is the remainder when 701 is divided by p?
26
Suppose 4*v - 478 = 130. Let p = v - 145. What is the remainder when 39 is divided by p?
4
Let o = 362 - 241. Let r = o - 110. Let n(p) = -p + 38. Calculate the remainder when 52 is divided by n(r).
25
What is the remainder when 763 is divided by (516/(-2))/(-2)*(-3 + 209/33)?
333
Suppose -22847 + 2192 = -459*i. Suppose 0 = 3*c - 12, 4*c - 508 = -5*v - 57. Calculate the remainder when v is divided by i.
42
Let v(s) = -2*s**2 + 8*s + 9. Let a(c) = 17*c + 13. Let f be a(-1). Let u be v(f). Let t = 100 + u. What is the remainder when t is divided by 25?
20
Let p be 908/(-20) + 1 + (-2)/(-5). Calculate the remainder when ((-1605)/20)/(p/32 + 1) is divided by 43.
42
Suppose -5281 + 3860 = -29*t. Let c = -32 + 57. Calculate the remainder when t is divided by c.
24
Suppose -t = 4*f - 0*f - 14, t = 5*f - 13. Calculate the remainder when 93 is divided by (-112)/(-70)*35/t.
9
Let m(v) = 4*v**2 + 8*v - 5. Let x = 5 + -13. Let h = 3 - x. Calculate the remainder when h is divided by m(-3).
4
Let g = -3 + -3. Let t(h) = 5*h + h**2 + 15 + h**2 - 3 + 4 + 0*h**2. Calculate the remainder when 287 is divided by t(g).
55
Suppose 0 = -3*x - 5*b + 26, 3*b - 3 = -2*x + 13. Suppose -10 = -4*i - x, -1421 = -5*j - 3*i. Calculate the remainder when j is divided by 11.
8
Let y = 4 + 25. Suppose 2*l - 300 = -2*h - 86, -3*l + 2*h + 361 = 0. What is the remainder when l is divided by y?
28
Suppose -4259 = 11*k - 1025. Let t = 474 + k. Calculate the remainder when t is divided by 91.
89
Suppose 4*q - 32 = -b + 5, -2*b - 6 = -2*q. Let j(u) = -u**2 + 18*u - 19. Calculate the remainder when j(q) is divided by 13.
9
What is the remainder when (69296/112 - -13) + 6/21 is divided by 22?
16
Let p = -5663 - -5715. Let a = 500 + -295. What is the remainder when a is divided by p?
49
Suppose p + 87 = 4*p + 3*r, 5*r - 330 = -10*p. What is the remainder when 161 is divided by p?
13
Let j = 15 + 16. Suppose 4*c - 168 = -144. Suppose f + 3*t - 5 = 0, 0 = 4*f - 5*t + c*t - 31. Calculate the remainder when j is divided by f.
7
Suppose 2*p = -4*h + 4, 0*h - 6 = -2*p - 2*h. Let q be (-4186)/(-115) + 4/(-10). Let b = p + q. Calculate the remainder when b is divided by 11.
7
Suppose -8*a + 1754 = 1450. Let d be (28/(-8) + 3)*-6. Calculate the remainder when a is divided by -3*(-3 - (-1)/d).
6
What is the remainder when 4151/4 - (-5 - ((-253)/44 - -1)) is divided by 35?
23
Suppose -2*q - 2*k = -27 - 29, -4*k = -4*q + 80. Suppose -5*l + 233 = 2*o, l = 22*o - 11*o - 1025. What is the remainder when o is divided by q?
22
Let z(a) = -37*a**3 - 15*a**2 - 73*a + 16. What is the remainder when z(-4) is divided by 18?
6
Let y(x) = x**3 - 15*x**2 - 14*x - 28. Let z be y(16). Calculate the remainder when 116*1/z*4 is divided by 20.
16
Let k = 1701 + -1544. Calculate the remainder when 469 is divided by k.
155
Let b(a) = 8 + 20*a + 21*a**2 - 14*a**2 - 119. Calculate the remainder when b(7) is divided by 34.
32
Suppose 5*f + 2*t - 91 + 10 = 0, f - 2*t - 21 = 0. Calculate the remainder when 131 is divided by f.
12
Let t(c) = c**2 + 32*c + 29. Let n be t(-31). Let o = 11 + -7. Calculate the remainder when 3 + -6 - n*62/o is divided by 18.
10
Suppose 8*v - 1061 = -36 + 1879. Calculate the remainder when v is divided by 53.
45
Suppose 43*y - 109209 = 145787 + 69955. What is the remainder when y is divided by 61?
54
Suppose -5*i - 2*m = -8*i + 16, 25 = 4*i + m. Suppose 64 = 4*n - 216. What is the remainder when n is divided by i?
4
Suppose -121*v + 14 = -119*v. Let w(b) = -b**3 + 7*b**2 + 5*b - 12. Calculate the remainder when 152 is divided by w(v).
14
Let s(h) = -h**2 + 36*h - 258. Let g be s(26). Suppose 6*t - 1760 = -g*t. Calculate the remainder when t is divided by 14.
10
Let d(t) = t**3 + 14*t**2 + 10*t + 31. Let y = -12 + -1. Let k be d(y). Suppose -13*c = -8*c - k. Calculate the remainder when 25 is divided by c.
11
Let x(d) = 5*d**3 - 28*d**2 - 10*d + 3. Calculate the remainder when 4812 is divided by x(6).
12
Suppose -478*d + 167*d = -13684. What is the remainder when 1986 is divided by d?
6
Let q(c) be the second derivative of 5*c**4/12 - 5*c**3/6 + c**2 - 93*c. What is the remainder when q(-6) is divided by 72?
68
Suppose 0 = -s, -3*s = 3*j - 2*s - 105. Let w = -368377 + 368584. Calculate the remainder when w is di