 30. Suppose a + 74 = 3*a - 4*d, -3*a + 156 = 3*d. Let h = a + s. Calculate the remainder when 21 is divided by h.
9
Let r be -4*(-1 - (-23)/1) - 4. Let i = -73 - r. What is the remainder when 204 is divided by i?
14
Suppose 550 - 102 = 8*p. Suppose -p = -8*m + 168. What is the remainder when 53 is divided by m?
25
Let w = -135 - -146. Suppose 33 = 12*h - w*h. Calculate the remainder when 160 is divided by h.
28
Suppose -28 - 12 = -b. Let y = -4 - 63. Let j = 81 + y. Calculate the remainder when b is divided by j.
12
Let b(c) = -c**3 + 30*c**2 - 25*c - 303. What is the remainder when b(28) is divided by 552?
13
Let t = -236 - -249. Suppose -t = -6*g + 53. Let r = 131 + -79. Calculate the remainder when r is divided by g.
8
What is the remainder when -2410*((-34)/(-4) + -9) is divided by 133?
8
Let r = 10275 - 10262. Calculate the remainder when 1617 is divided by r.
5
Suppose -386*z + 16860 = -381*z. What is the remainder when z is divided by 7?
5
Let r = -65 + 1520. Let z = r - 974. What is the remainder when z is divided by 44?
41
Let f(r) = -7*r - 96. Let x be f(-15). Suppose -25 = -x*c + 164. Calculate the remainder when 125 is divided by c.
20
Let c = -141 - 48. Let d = 217 + c. Let l(b) = b**3 + 7*b**2 + 4*b + 4. Calculate the remainder when d is divided by l(-6).
12
Calculate the remainder when (-33960)/(-27) - ((-96)/54)/8 is divided by 60.
58
Let a(l) = l**3 + 22*l**2 + 3*l - 7. Calculate the remainder when 2802 is divided by a(-12).
8
Suppose 534*a - 100733 - 291703 = 266520. What is the remainder when a is divided by 596?
42
Suppose 31*t - 23508 = 32202 + 6011. Calculate the remainder when t is divided by 35.
31
Let d(v) = 31*v - 1657. Calculate the remainder when d(73) is divided by 3.
0
Suppose -3*v + 316 = p, v + 8*p - 60 - 30 = 0. What is the remainder when v is divided by 22?
18
Suppose 501 = s - 5*h + 10*h, 0 = -s - 4*h + 500. Let y = s + -479. Calculate the remainder when y is divided by 5.
2
Let r(l) = 13*l - 833. Let b = 32 - 10. What is the remainder when r(113) is divided by b?
20
Let b = 10180 + -9381. What is the remainder when b is divided by 258?
25
Suppose 5*z = -4*o + 6446, -59*z + 60*z - 2*o = 1292. What is the remainder when z is divided by 37?
32
Let o = 269 - 257. Suppose -o*j = -41*j + 261. What is the remainder when 197 is divided by j?
8
Let p(a) = -203*a**3 - 6*a**2 - 8*a - 1. Calculate the remainder when p(-3) is divided by 133.
130
Suppose -4*p + 2*t + 49780 = 0, -3*p - p - t + 49762 = 0. What is the remainder when p is divided by 23?
22
Let b = -121 + 175. Let q = 35 - 26. Suppose -5*l + 86 = -q. What is the remainder when b is divided by l?
16
Let r = 726 + -692. What is the remainder when 183 is divided by r?
13
Let k(i) = 421*i - 8515. Calculate the remainder when 2947 is divided by k(21).
13
Suppose 0 = 4*a - 4*w - 332, 8*a + 5*w = 3*a + 375. Let y = -135 + a. What is the remainder when 20 is divided by ((-4)/7)/(y/588)?
2
Let c = -59 - -62. Suppose c*i - 56 - 7 = 0. Suppose -i*t + 15*t = -12. Calculate the remainder when 2 is divided by t.
0
Suppose -t + 2*k = -191 + 22, 2*t - k - 341 = 0. What is the remainder when t is divided by 164?
7
Let s be (6/8)/(24/3488). Suppose 2*i - s = 3*m, -i - m = 2*m - 77. Calculate the remainder when i is divided by 13.
10
Let x(y) = 7*y**3 - 4*y + 5. Let f = 175 - 174. Calculate the remainder when x(f) is divided by 1.
0
Let t = -17 + 10. Let o = -32 - t. Calculate the remainder when 6/(-10) + ((-2565)/o - 4) is divided by 25.
23
Suppose 13*c - 12*c - 114 = -2*x, 5*c = -5*x + 295. Calculate the remainder when 823 is divided by x.
53
Let i(w) = -2*w**3 - 27*w**2 + 13*w - 10. Let u be i(-14). Suppose -a = -1, -u*a = 4*s - 6*a - 50. What is the remainder when 64 is divided by s?
12
Let y(i) = 54*i**2 + 101*i + 530. What is the remainder when y(-25) is divided by 134?
131
Let x(b) be the first derivative of -2*b**2 + 24*b - 18. Let u be x(6). Suppose 10*o - 402 - 88 = u. What is the remainder when 145 is divided by o?
47
Let b = -5223 + 6276. Calculate the remainder when b is divided by 29.
9
Let n = 30214 + -30073. Calculate the remainder when 1124 is divided by n.
137
Let n(r) = r**2 - 3*r + 78. Let s be n(0). What is the remainder when 101 is divided by (2/5)/(s/9945)?
50
Let q = 154 + -80. Suppose 7*o = q - 4. Calculate the remainder when 167 is divided by o.
7
Suppose 3*y = -m + 3, m - 5*y = -y - 4. Let g(j) = 4*j + 44. Let w be g(m). Suppose -w + 8 = -3*p. What is the remainder when 35 is divided by p?
11
Suppose -4*w + 2*c + 1636 = 0, -4*w + 1239 = -5*c - 391. Suppose -9*l + 229 = -w. Let s = 92 - 73. What is the remainder when l is divided by s?
14
Calculate the remainder when (1 - (-80)/(-70))*-994 is divided by 38.
28
What is the remainder when 1022 is divided by (-1)/5 + 806/155?
2
Let m(z) = z**3 - 15*z**2 + 14*z - 33. Let q be (-1 + 2)*(-70)/(-42)*9. Calculate the remainder when m(q) is divided by 12.
9
What is the remainder when (1822 - 5 - -8)*(-1)/5*-5 is divided by 23?
8
Let h(b) = -b**3 - 40*b**2 - 209*b + 35. Calculate the remainder when 582 is divided by h(-6).
62
Let b be (13 - 9)*(-3)/(-12). Calculate the remainder when 35 is divided by (-60)/(-12) + (2 - b).
5
Suppose 46*w - 57*w + 121 = 0. Let s be (9/(-3))/(1 + -2). Suppose 8*c - 270 = s*c. Calculate the remainder when c is divided by w.
10
Let a = -56280 - -56373. What is the remainder when a is divided by 142/6 + (-2)/(-6)?
21
Suppose -13*x - 8*x = -6*x. Suppose -5*k - 10 = x, 3*t - 12 = 3*k + 75. Calculate the remainder when 173 is divided by t.
11
Suppose 0 = -b - 2*v + 318 - 82, -3*v = -4*b + 955. What is the remainder when b is divided by -4 + -7 + 3 + 30 + 0?
18
Suppose 5*j = -3*p + 16 + 13, j - 3*p + 5 = 0. Suppose 66 = 5*r + a - 7, -4*r - j*a = -52. Let i = 137 + -78. What is the remainder when i is divided by r?
14
Suppose -3*m - f = -15729, -3*m + 10852 + 4877 = 3*f. Calculate the remainder when m is divided by 2618.
7
Suppose 2*v - 34 = 4*l + 150, -385 = -5*v - 5*l. Let x(y) = 1 + 22*y + 4 + 5*y**2 + 8 - 1 + 4*y. What is the remainder when v is divided by x(-5)?
5
Let r(w) = 271*w - 4248. Calculate the remainder when 560 is divided by r(16).
32
Suppose p = 7*p - 762. Let r = -80 + p. Suppose -26*w = -9*w - 306. Calculate the remainder when r is divided by w.
11
Let z = 285 - 274. Calculate the remainder when 2656 is divided by z.
5
Let m = 294 - 291. Suppose 3*b - 2*f = 73, -57 = m*b - 5*b + 3*f. What is the remainder when ((-2)/(-2))/(1/39) is divided by b?
18
Suppose v + 2*l - 32 = 0, -4*v + 6*l + 84 = 3*l. Suppose 75 + v = 3*a. What is the remainder when 64 is divided by a?
31
Let f(v) = v**2 - 34*v + 1. Calculate the remainder when f(48) is divided by 76.
65
Suppose 0 = 3*r + 55*m - 56*m - 47408, -3*r + 47443 = 4*m. What is the remainder when r is divided by 304?
301
Let h = 0 - -2. Suppose -y = h*j - 104, 4*y - 2*j - 174 = 282. Suppose 0 = -5*p + y + 183. Calculate the remainder when p is divided by 15.
14
Let r(o) = -o + 49. Let a = -2995 + 3012. Calculate the remainder when r(0) is divided by a.
15
Suppose 2*y = 4*y + 2*h + 2, 12 = -4*h. Suppose 339 = -4*d + 379, -3*l + 7*l = -5*d + 286. What is the remainder when l is divided by y/(-1 - 23/(-21))?
17
Let w = 58 + -27. Let k = -8138 - -8228. What is the remainder when k is divided by w?
28
Let h = -951 + 1477. Suppose -131 = -3*u + 13. Calculate the remainder when h is divided by u.
46
Suppose 0 = -h - 5*p + 3, 4*h - 48 = -p - p. Calculate the remainder when (596708/(-3376))/((-7)/4) is divided by h.
10
Let r = 52 + -68. Let z(i) = -5*i + 61. Let s be z(r). Let o = s + -43. What is the remainder when o is divided by 20?
18
Suppose -b - 2*c + 32 = 2*c, 0 = -5*c - 20. Let q = -47 + b. What is the remainder when 13 is divided by q + (-25)/(-10) - (-2)/(-4)?
1
Suppose -4*z + 3*k - 65 = -6*z, -4*k + 120 = 4*z. Suppose z*w - 22*w = 270. What is the remainder when w is divided by 46?
44
Let p(m) = -m**3 + 9*m**2 + 39*m - 9. Let y be p(8). Suppose 370*x = y*x + 105. Calculate the remainder when 136 is divided by x.
31
Let o(q) = -6*q**3 - 99*q**2 - 33*q + 14. What is the remainder when o(-17) is divided by 85?
82
Suppose 16 = 4*z - 292. Let j be (-16)/(-6)*(z - -13). Suppose 4*f = -5*v - 0*f + j, 2*f + 10 = 0. Calculate the remai