 the remainder when d*(-1)/9*-447 is divided by 25.
24
Let p = 14 + 3. Calculate the remainder when (-10 - -21) + -5 - (0 + -213) is divided by p.
15
Let z(v) = 4*v**2 - 4*v - 5*v**2 + 16*v. What is the remainder when z(9) is divided by (-128)/(-9) - (-6)/(-27)?
13
Let n(d) = -d**2 + 12*d + 44. Let m be n(14). Let s(w) = -3*w**2 + 53*w - 56. Calculate the remainder when 35 is divided by s(m).
11
Let p(w) be the second derivative of w**3/6 - w**2 - 665*w. Suppose 3*b + 2*h - 10 = 0, 5*h + 28 = 2*b + h. What is the remainder when 12 is divided by p(b)?
0
Let f = -544 + 614. Calculate the remainder when 174 is divided by f.
34
Let u(j) = -7*j**3 - 52*j**2 + 46*j + 315. Calculate the remainder when u(-8) is divided by 119.
84
Let p = 94 + -4. Suppose x = -x + p. Let n(b) = 915*b + 2752. What is the remainder when x is divided by n(-3)?
3
Let k be (-12)/8*(-6)/(-9) - 260. Let p = -198 - k. Calculate the remainder when 313 is divided by p.
61
Let m be (59/4)/((-1)/(-4)). Suppose -m = -3*o + 10. Calculate the remainder when o is divided by -4*(-72)/32*1.
5
Let z = -11607 - -26892. What is the remainder when z is divided by 273?
270
Suppose -2*d + 52 = -2*o, -5*d - 7*o + 4*o = -98. Suppose -d = -11*c - 0*c. What is the remainder when 2 is divided by c?
0
Suppose -3*k = -129 - 585. What is the remainder when k is divided by (-387)/(-8) + 123/(-328)?
46
Let p(g) = -2*g**3 - 4*g**2 + 163*g + 2. Suppose -3*x + 192 = -x. What is the remainder when x is divided by p(8)?
18
Let m(j) = -7*j**2 - 9 + 4*j + 3 + j**3 - 1. Let g = -3449 - -3524. Calculate the remainder when g is divided by m(7).
12
Suppose -2*s + 136 - 124 = 0. Calculate the remainder when 650/(-15)*s*2/(-4) is divided by 11.
9
Suppose -3*y + 49 + 38 = 0. Suppose 3*m = -6, 12*m + 1291 = 5*i + 14*m. Calculate the remainder when i is divided by y.
27
Let m = -862 + 887. Calculate the remainder when 1102 is divided by m.
2
Let h = 518 + -393. Suppose -d = -3*s + h - 18, 5*d = -s + 41. Calculate the remainder when s is divided by 28.
8
Suppose -229*z + 67*z + 746982 = 0. Calculate the remainder when z is divided by 23.
11
Suppose -45 = 5*m - 10*m. Suppose 0 = m*i - 128 - 70. Suppose 3*z - i = 14. What is the remainder when 106 is divided by z?
10
Let s(a) be the third derivative of a**5/15 - a**4/8 + 3*a**3/2 - 9*a**2. Let c be s(9). Suppose -5*h + c = h. What is the remainder when h is divided by 13?
12
Suppose 4*t - 3496 = -4*t. Let x = -372 + t. What is the remainder when x is divided by 7?
2
Let q(y) = y**3 + 9*y**2 + 11*y + 9. Let v = -476 + -100. What is the remainder when v/(-10) - (-8 + (-172)/(-20)) is divided by q(-7)?
27
Let j = -242 + 245. Suppose -5*q - 5*k + 50 = -105, -k = -j*q + 81. What is the remainder when 105 is divided by q?
21
Suppose 6*l - 2*l + 128 = 0. Let i = -84 - l. What is the remainder when i/91*154/(-4) is divided by 7?
1
Suppose 4*d - 1144 = -4*j, 4*j + 5*d - 3387 = -2241. Calculate the remainder when j is divided by 31.
5
Suppose 2*o - 5*t - 171 = 0, -2*o + 5*t = 3*t - 162. Calculate the remainder when 229 is divided by o.
73
Suppose 1026*x = 1025*x + 28. Calculate the remainder when x is divided by (-12)/(-5)*10/4.
4
Let v(s) = -75*s**2 - 315*s + 4. What is the remainder when 634 is divided by v(-4)?
58
Let c = 10801 + -6584. What is the remainder when c is divided by 37?
36
Suppose 3*d + 6*c + 18 = 4*c, -2*c + 46 = -5*d. What is the remainder when (-4)/d - (-229)/2 is divided by 20?
15
Let n = -235 + 233. What is the remainder when 3441/12 + n/(-8) is divided by 29?
26
Let d be ((1 - 1)/(-4))/2. Suppose 2*s + 2*a - 5*a - 75 = 0, 5*s - a - 181 = d. Suppose -2*u + 0*u = -s. What is the remainder when u is divided by 4?
2
Let c = -108 + 243. Calculate the remainder when 615 is divided by c.
75
Let h = 66 - -56. Suppose -69*s - 20 = -73*s. Suppose 0 = -12*l - s + 401. Calculate the remainder when h is divided by l.
23
Let t be 10/(-4)*(3 - 268/20). Let i = -52 - t. Let j = i - -105. What is the remainder when j is divided by 6?
3
Let y(g) = 25*g + 242. Let r be y(-10). What is the remainder when r/(-44) - (-23520)/110 is divided by 109?
105
Let m(s) = -s**3 + 13*s**2 - 27*s + 246. What is the remainder when 76 is divided by m(12)?
10
Suppose -l - 29 = -2*u, 80*u - 76*u - 4*l - 76 = 0. Calculate the remainder when 6186 is divided by u.
6
Let y = -4240 + 4242. What is the remainder when 29 is divided by y?
1
Let c(w) = -30*w - 1081. Suppose -2*h + 304 = -4*o, -119 = -3*h - 5*o + 282. Calculate the remainder when h is divided by c(-37).
26
Suppose -4*a = -4*l - 156, -3*l - 2*a = l + 162. Let s = l - -56. Let k = s - 7. What is the remainder when 33 is divided by k?
6
Let p = -11 + 91. Suppose 3*x - 85 - 25 = -y, -3*x + 5*y = -p. Suppose 0*v + v = x. Calculate the remainder when 100 is divided by v.
30
Suppose 0 = -5*v - 3*t + 123, 97 = -9*v + 13*v + t. Let y(o) = 20*o + 3. Calculate the remainder when y(3) is divided by v.
15
Let c(b) = 1559*b - 407. Calculate the remainder when c(1) is divided by 15.
12
Let s = -688 + 691. Suppose -s*r = -149 - 604. Calculate the remainder when r is divided by 85.
81
Suppose 4*x + 27 = g, g + 51*x - 52*x - 27 = 0. Calculate the remainder when 13388 is divided by g.
23
Let z = 1050 - 200. What is the remainder when z/30 + (-2)/(-3) is divided by 1 + (-1)/(-2) + 187/22?
9
Let h = -4887 + 10234. Suppose -24*y = -h + 1147. Calculate the remainder when y is divided by 15.
10
Let u(v) = -v**2 + 72*v - 1104. What is the remainder when 1016 is divided by u(23)?
4
Suppose -18 = -h + 4*c, -12*c + 16*c + 120 = 4*h. What is the remainder when 393 is divided by h?
19
Let n(k) = -55*k**3 - 2*k**2 - 6*k - 4. Let i be n(-1). Let u be (2/2 + -39)*1. Let d = u + i. Calculate the remainder when d is divided by 6.
5
Let b = -47 + 37. What is the remainder when 159 is divided by 5/b - (-81)/2?
39
Let y(d) = 14*d - 97. What is the remainder when 21686 is divided by y(8)?
11
Suppose -5*s - 5*p - 67 = -407, -4*p = -3*s + 204. Suppose -2*o - 83 = -281. Let h = o - s. Calculate the remainder when 119 is divided by h.
26
Suppose 0 = -177*h + 194*h - 272. Calculate the remainder when 110 is divided by h.
14
Calculate the remainder when (-2)/1*(55 + -129) + -3 is divided by 145.
0
What is the remainder when (187/(-2805))/((-1)/18)*(-25140)/(-9) is divided by 145?
17
Let z(y) be the second derivative of -y**5/20 + y**4/12 - 7*y**3/6 + 131*y**2 + 3*y - 1. What is the remainder when z(0) is divided by 22?
20
What is the remainder when (15235 + 56)*(6/(-9))/(-2) is divided by 85?
82
Suppose 0 = -141*f + 75216 + 38148. What is the remainder when f is divided by 259?
27
Suppose 225*x - 4865 = 86*x. What is the remainder when 436 is divided by x?
16
Let f(a) = -10*a - 7. Let p(h) = -352*h + 8156. What is the remainder when f(-12) is divided by p(23)?
53
Suppose 4*k - 14 = -5*v + 30, -5*v - k + 56 = 0. Let l be ((-62)/(-3))/((-24)/36). Calculate the remainder when (-1 + -2)/(1/l) is divided by v.
9
Let a(g) = -261*g + 3309. What is the remainder when a(12) is divided by 84?
9
Suppose -w + 2*w - 5*p = 187, 0 = 4*w - p - 710. What is the remainder when w is divided by (12 - 30)/(1/(4/(-6)))?
9
Let s(z) = -z**2 - 25*z + 18. Let j = 73 + -84. Let g be s(j). Let b = g - 90. Calculate the remainder when b is divided by 21.
19
Suppose 6*l + 5236 = 17*l. Let m = l + -419. What is the remainder when 337 is divided by m?
52
Let w(s) = -15*s - 315. What is the remainder when 3476 is divided by w(-22)?
11
Let d(n) = -n**2 - 79*n - 551. What is the remainder when 714 is divided by d(-70)?
3
Suppose 0*m - 4*m + 156 = 2*a, 3*m + a - 114 = 0. Calculate the remainder when m is divided by 24.
12
What is the remainder when (-12135)/20*(22/(-12) - (-2)/4) is divided by 135?
134
Suppose -28 = a - 3*a - 4*h, -2*a + 28 = 3*h. Suppose -360 = 46*g - 665 - 1443. What is the remainder when g is divided by a?
10
Suppose -49913 = -302*v + 30117. Calculate the remainder when v is divided by 53.
0
Suppose 0 = -4*s + 3*u + 2030, -2*s - 2*u = -3*s + 510. Suppose 3*f + 671 = -i + 5*i, -3*i + 5*f = -s. Calculate the remainder when i is divided by 17.
14
Suppose -3148 = -5*r - 4*s, 3*s + 3134 = 5*r - 0*r. Suppose 0 = -3*w + 2*c + 407, 5*w - r - 44 = -3*c. What is the remainder when w is divided by 46?
43
