3. Let j be p(-8). Suppose c + 2 = -4*d + j, -4*c = -2*d - 4. What is the remainder when 57 is divided by 8/((-6)/d*(-40)/150)?
17
Calculate the remainder when 18/18 - (1 - (1 - -159)) is divided by 77.
6
Suppose -4*h - 8 = -2*h, -3 = -5*q + 2*h. Calculate the remainder when 3/(-1) - ((-27 - q) + 2) is divided by (-2 + -20)*(-3)/6.
10
Let x(f) = -f**2 - 28*f + 43. Suppose -37*m = -42*m - 110. Calculate the remainder when x(m) is divided by 16.
15
Let i = 43 + -41. Suppose -i*q = -q + 1. Calculate the remainder when 0 + (q - -16)*(6 - 5) is divided by 6.
3
Let v(p) be the first derivative of p**3/3 - 7*p**2/2 + 28*p + 52. Calculate the remainder when v(4) is divided by 6.
4
Suppose 35*v + 24281 = 24736. Calculate the remainder when 10437 is divided by v.
11
Calculate the remainder when 56/350*15*1/4*170 is divided by 102.
0
Suppose -15*r - 11*r + 19*r = -574. What is the remainder when 491 is divided by r?
81
Suppose 0 = -3*y + 5*t + 634, -9*t + 974 = 5*y - 7*t. What is the remainder when 438 is divided by y?
42
Suppose -5*i - 36 = -j + 77, i = 4*j - 376. Let z = 111 - j. Let y = 1 + 5. Calculate the remainder when z is divided by y.
0
Let l(o) be the second derivative of -o**4/12 + o**3 + 185*o**2/2 + o - 16. What is the remainder when 195 is divided by l(-9)?
45
Suppose -6*m + 11303 = -5*v, -2*v + 7599 - 37 = 4*m. What is the remainder when m is divided by 18?
16
Let m be (-3)/(-7) - (-702)/126. Suppose 3*a = 1 + 2. Calculate the remainder when a is divided by m/(-51) - (-171)/153.
0
Let y(r) be the first derivative of r**4/4 + 14*r**3/3 + 5*r**2 - 16*r + 23. Calculate the remainder when y(-9) is divided by 60.
59
What is the remainder when (-6)/(-8)*(-4)/(-1) - (-532 + 329) is divided by 53?
47
Let t(k) = 1256*k - 5004. Suppose 0*w + 5*w = -3*s + 6, -10 = -5*s. What is the remainder when (w - 1/1) + 118 is divided by t(4)?
17
Suppose -3*x - 7*u = -9*u - 69, -3*x + 60 = -5*u. Suppose -77 - 67 = -24*c. Calculate the remainder when x is divided by c.
1
Let w(q) = 2*q**2 + 28*q - 123. What is the remainder when w(5) is divided by (-1)/(-9)*(-513)/(-18)*6?
10
What is the remainder when (-8)/(((-1)/(-42))/((-108)/162)) is divided by 170?
54
Let g(h) = -11*h**2 + 86*h - 15. What is the remainder when 467 is divided by g(7)?
35
Suppose 3*l - 21 = -3*s, 10 = -2*l - 4*s + 32. Let r = -64390 - -64406. What is the remainder when -115*-2*l/15 is divided by r?
14
Let d = 69 + -64. Let c(w) = 2*w**3 - 6*w**2 - w - 14. What is the remainder when c(d) is divided by 110/5 - 0/(-3 + 2)?
15
Suppose 173*f - 168*f = 270. Suppose 2*a = -2*o + 6, -5*o + a + 3*a + 15 = 0. Suppose -o*z - 7 = -70. What is the remainder when f is divided by z?
12
Suppose 4*j - 4 - 12 = 0. Suppose 5 + j = 3*w. Suppose -i = 0, w*i + i = 2*x - 142. Calculate the remainder when x is divided by 36.
35
Calculate the remainder when 195 is divided by ((-952)/49)/(70/(-245)).
59
Suppose -2*w - 4 = u, -2*u - 2*u + 8 = 2*w. Suppose 5*a + 559 = u*c + 205, 2*c - 186 = -2*a. Calculate the remainder when c is divided by 25.
16
What is the remainder when 72 is divided by (-310)/(-25)*(-140)/(-28)?
10
Let x(y) = -y**2 - 49*y - 142. What is the remainder when x(-30) is divided by 54?
50
Let l(v) = -5*v - 50. Let h be l(-6). What is the remainder when 2*1005/h*-2 is divided by 52?
45
Let a(h) = 46*h**2 - 13*h + 24. What is the remainder when a(3) is divided by (-100)/(-3)*27/36?
24
Let n = 12219 + -6612. What is the remainder when n is divided by 30?
27
Let k = 1660 + -769. Suppose -o - 1356 = 3*z, 0*z - 5*o = 2*z + k. Calculate the remainder when z/(-9) + (-4)/(-6) is divided by 18.
15
Suppose -b - c + 60 = -2*c, 2*b - 129 = 5*c. Let t = 154 - b. What is the remainder when t is divided by 11?
9
Let x(r) = r**2 + 10*r - 24. Suppose 64 = 5*t + 14. Suppose i = u - t, 0 = -2*i + u + 11 - 36. Calculate the remainder when x(i) is divided by 18.
15
Suppose -283*w + 279*w + 5*p + 129 = 0, -4*w + 4*p = -128. What is the remainder when 62 is divided by w?
0
Suppose 0 = 4*w + 5*f - 27, 89*f - 92*f - 11 = -w. Calculate the remainder when 10845 is divided by w.
5
Let p be (-4 + 14/3)/(6/108). Suppose 836 = 31*a - p*a. Calculate the remainder when a is divided by 17.
10
Let k = 116 - -62. Suppose -11*y + 13*y = k. What is the remainder when y is divided by 30?
29
What is the remainder when 403 is divided by 36/((165/5445)/(2/(-12)*-2))?
7
What is the remainder when 5000 is divided by (-2 - -13)/(((-588)/(-91))/6 - 1)?
138
Suppose 15 = -3*h + 69. Let y be (1 - (-10)/(-6))*h/(-4). What is the remainder when (y - -16)*(-3)/(-3) - 1 is divided by 11?
7
Suppose -9*d = -41*d - 5*d + 481. What is the remainder when 517 is divided by d?
10
Suppose -264 = -5*c + c. Suppose 0 = 5*g - g + 2*o - 36, 0 = 2*o - 4. Suppose -g*t + 56 = -4*t. Calculate the remainder when c is divided by t.
10
Let w(k) = -6*k**3 + 5*k**2 + 4*k + 11. Calculate the remainder when w(-3) is divided by 52.
50
What is the remainder when 8817 is divided by ((-2)/30)/(5/(-1335)) - 7/(-35)?
15
Let b(d) = -d**2 - 19*d - 61. Let w be b(-7). Suppose -12*t = -w*t + 792. What is the remainder when t is divided by 26?
20
Calculate the remainder when 1085112/1428 - 2/(-17) - (-4)/(-2) is divided by 43.
27
Let t = 2463 - 2085. Calculate the remainder when t is divided by 10.
8
Let j(d) be the first derivative of d**3/3 + 15*d**2/2 + 17*d - 20. Let k be j(-14). Suppose -k*x = 4*x - 294. What is the remainder when 167 is divided by x?
41
Calculate the remainder when (-1434)/(-3) - (6/16 - 1734/272) is divided by 45.
34
Let j be (3 - 6)/((-1)/(-73)). Let g = 253 + j. What is the remainder when 305/3 + 4/(-6) is divided by g?
33
Suppose 0 = -2*h + 50*h - 8160. What is the remainder when 1357 is divided by h?
167
Suppose -3*a + 58 = 2*t - 3*t, -4*a + 54 = -t. Let j(h) = h**3 - 8*h**2 + 7. Let i be j(7). Calculate the remainder when i/t - 224/(-10) is divided by 12.
11
Let q = -1465 - -4027. Suppose 23*n - 3096 = q. Calculate the remainder when n is divided by 83.
80
Let n be 0 - (-2 - (-6 - -2) - -86). Let j = -207 - -218. Calculate the remainder when (n/(-66))/((-4)/(-42)) is divided by j.
3
Suppose 136 = 2*n + x, -10*n + 260 = -6*n + 5*x. What is the remainder when (-140)/n - 70/(-2) is divided by 13?
7
Suppose -21*q = -17*q. Suppose -3*i + 3*j = -138, i + q - 55 = -2*j. Calculate the remainder when i is divided by 13.
10
Let z = -930 + 939. Calculate the remainder when 10 + -10 + 249*1 is divided by z.
6
Let u = -4616 + 5366. Calculate the remainder when u is divided by 26.
22
Let x = 1616 + -1141. Calculate the remainder when (-4)/(-14) - 572/(-7) is divided by (-14)/77 - (1 - x/11).
40
Suppose 118*a - 80 = 116*a. Suppose 19 + 8 = u. Calculate the remainder when (428/16)/(10/a) is divided by u.
26
Calculate the remainder when 753 is divided by (-746)/(-6) - 6/(-9).
3
Let b(h) = -99*h + 3. Let y be b(1). Let s = y + 101. Calculate the remainder when (83 - (s - 1))*1 is divided by 17.
11
Let g(r) = r**3 - 23*r**2 + 19*r - 41. Let i be g(21). Let k = i - -530. What is the remainder when 17 is divided by k?
5
Suppose -2*g + 5*z - 7*z + 46 = 0, z = 3*g - 73. Let d = -30 - -95. Calculate the remainder when d is divided by g.
17
Suppose 0 = -3*z - 5*o + 32, o - 128 = -7*z - 4*o. Calculate the remainder when 112 is divided by z.
16
Suppose 2*f + 60 = 2*l, l + f - 27 = -5. Let w(n) = -n**3 + 2*n**2 + 18*n + 6. Calculate the remainder when w(3) is divided by l.
25
Let h be 1 + -20 - (-1)/(6/18). Let p(f) = 32*f - 2. What is the remainder when p(5) is divided by (h/20 - -4)/(2/25)?
38
Let h(n) = -88*n + 1154. What is the remainder when 78 is divided by h(13)?
8
Suppose 0 = 4*i - y - 45, 0 = 4*i - 77*y + 81*y - 60. What is the remainder when 191 is divided by i?
11
Let r(f) = -5*f**3 - 69*f**2 - 4*f - 244. Calculate the remainder when 430 is divided by r(-14).
6
Let p(c) = -5*c - 35. Let a(k) = 15*k + 106. Let i(v) = 2*a(v) + 7*p(v). Let z = -33 - -58. Calculate the remainder when i(-16) is divided by z.
22
Let j = 717 - 715. Calculate the remainder when (-1)/3 - 200/(-6) is divided by (35/14 - 8/j)*-6.
6
Let o = 38 - 32. Suppose -2*f + 40 = -3*v, -2*f - 3*v - o = -70. Calculate the remainder when 284 is divided by f.
24
Let z = -2 - -5. Suppose 19 = 2*g + 2*r - 39, z*g + 5*r