- -29. Suppose j = t - 18. Let x = j + 74. What is the remainder when x is divided by 17?
16
Suppose 5*r + r + 0*r = 0. Suppose r = 9*a - 20*a + 209. Calculate the remainder when 65 is divided by a.
8
Suppose -o + 5*o - 96 = 0. What is the remainder when 189 is divided by (19/4)/(171/o + -7)?
37
Suppose 0*u - 2*u = -30. What is the remainder when 41 is divided by u?
11
Suppose 0 = -4*d + 341 - 57. Let x(y) = 14*y + 570. What is the remainder when d is divided by x(-39)?
23
Let u(s) = 2*s**2 - 2*s + 7. Suppose 198 = 4*d + 3*i - i, -45 = -d + 4*i. Let h = -26 + d. Calculate the remainder when u(-6) is divided by h.
22
Let a = 40 + -18. Let h be 8/20 + a/(-5). Let k(u) = -12*u + 9. What is the remainder when k(h) is divided by 12?
9
Let d = 351 - 330. What is the remainder when 186 is divided by d?
18
Suppose -2*u = -17*u + 180. Suppose -u*w + 108 = -0*w. What is the remainder when 44 is divided by w?
8
What is the remainder when 40 is divided by -148*(6 + (-150)/24)?
3
Let k = 5 - 2. Let c(w) = -19*w - 7. Let j be c(k). Let u = -35 - j. Calculate the remainder when u is divided by 8.
5
Suppose -3*m = 39 - 18. Let r(j) = -5*j. Calculate the remainder when r(m) is divided by 9.
8
Let y(f) = f**3 - 19*f**2 + f - 2. Suppose -3*o = -o - 12. Calculate the remainder when y(19) is divided by o.
5
Let p = 154 - 109. Suppose -46 = 4*i - 94. Calculate the remainder when p is divided by i.
9
Let o be -1*(-4 - (1 - 3)). Suppose 3*u + o = 4*h, 4*u - 2*h - 20 = -6. Suppose 0 = 3*y + u - 36. Calculate the remainder when 27 is divided by y.
7
Let y(x) be the second derivative of 7*x**3/6 + 2*x**2 - 20*x. What is the remainder when 46 is divided by y(3)?
21
Let j(c) = -c**3 + 12*c**2 + 7*c - 6. Let n be j(8). What is the remainder when (-21)/(-28) + n/8 is divided by 14?
11
Let i = -454 - -871. Suppose -i = -2*w - 127. Calculate the remainder when w is divided by 37.
34
Let h(u) be the third derivative of -1/6*u**3 + 47/24*u**4 + 9*u**2 + 0*u + 0. Calculate the remainder when h(1) is divided by 7.
4
Suppose 0 = o + q - 4*q - 107, 2*o - 210 = 5*q. Suppose -12 = -w + 36. Suppose 10*n = 12*n - w. Calculate the remainder when o is divided by n.
23
Let f be 18/10 + (18/15 - 1). Suppose x + 1 = -3*z + 23, z = -f*x - 1. Calculate the remainder when 96 is divided by z.
6
Let l = -545 - -765. Calculate the remainder when l is divided by 7.
3
Let n be 16/1 + (-23 - -22). Calculate the remainder when 24 is divided by (-108)/n + 7 + 51/5.
4
Let t = 93 - 46. Calculate the remainder when 66 is divided by t.
19
Suppose -2*p + 3*r + 4 = -48, -p = 5*r. Let v = -9 - -32. Let x = p + v. Calculate the remainder when x is divided by 15.
13
Let t(o) = -49 + 67*o + 73*o - 144*o + o**2. Calculate the remainder when t(11) is divided by 10.
8
Suppose -171 = 8*z - 723. Let n = 16 + -6. Calculate the remainder when z is divided by n.
9
Suppose 5*s = 4*w + s + 508, 0 = -2*w + 5*s - 263. Let g = w + 129. Calculate the remainder when g is divided by 1.
0
Let n be -2 + 7*(-1 - -2). Suppose 2*z - 5*l - 17 = 0, -5 = -2*z - 2*l + n. Calculate the remainder when 28 + 1 - 3 - (-1 - -5) is divided by z.
4
Suppose 0 = 5*k - 4*k - 1, 2*k - 134 = f. Let z = f - -141. What is the remainder when z is divided by 3?
0
Let h = -44 - -38. Calculate the remainder when 29 is divided by 4/h*3*-8.
13
Let s(a) be the second derivative of -11/2*a**2 - 1/2*a**3 - 2/3*a**4 + 0 - 1/20*a**5 + a. Calculate the remainder when 49 is divided by s(-8).
10
Let a(t) = -2*t**3 - 6*t**2 - 2*t + 8. Let w be a(-8). Suppose -5*j + w = -j. Calculate the remainder when j/(3 - 1) + 1 is divided by 17.
16
Let q(b) = -2*b - 5. Let y(f) = 2*f - 2*f - 3*f - 11 + 0*f. Let w(m) = 5*q(m) - 3*y(m). Calculate the remainder when 10 is divided by w(4).
2
Suppose -4*g + g - 2*x = -492, 798 = 5*g - 4*x. Suppose v - 6 = 5*a, 0 = -3*v - 2*a - 11 - 5. What is the remainder when (v/3)/((-36)/g) is divided by 4?
2
Let h = 16 - 13. Suppose -h*k = 6 + 6. Let z(l) = l + 7. Calculate the remainder when 7 is divided by z(k).
1
Suppose -5*h + 133 = 4*p - 336, p + 4*h = 109. What is the remainder when p is divided by 2 + 0 - 29/(-1)?
28
Let j(z) = z**2 + 3*z. Let q be j(-4). Suppose q*v + 26 - 98 = 0. Let g(y) = 3*y**2 + 6*y - 2. Calculate the remainder when g(-6) is divided by v.
16
Let p = 15 - 17. What is the remainder when 107 - (0/p - (-1 + -2)) is divided by 21?
20
Suppose -24 = -2*y + 5*g, 4*y - 14 = 3*y + 2*g. Calculate the remainder when 87 is divided by y.
21
Suppose 82 = 5*g + m, m = 5*g + 3*m - 84. Suppose -224 = 25*o - 1374. What is the remainder when o is divided by g?
14
Let j(v) = 7*v + 42. Let t be j(-5). Suppose 4*l - 20 = -2*z, -2*l = 4*z - t - 33. What is the remainder when 19 is divided by z?
9
Suppose 0 = -4*c + c. Suppose 0 = -c*k - 2*k - 2490. Calculate the remainder when 4/10 + k/(-75) is divided by 5.
2
Suppose 41*t + 563 = 9378. Calculate the remainder when t is divided by 36.
35
Let u(g) = 33*g - 188. What is the remainder when u(8) is divided by 22?
10
Suppose z - 4*z + 52 = m, 292 = 5*m - z. Let c = 31 + -29. Suppose -34 = -c*j + 6. What is the remainder when m is divided by j?
18
Suppose -5*v - 4*f - 25 = 0, -v - 5*f - 4 = 1. Let n(l) = 8*l**2 - 4*l + 17. Calculate the remainder when n(v) is divided by 48.
45
Let c(b) = 405*b - 5. Let z be c(2). Suppose z = 10*i + 15. What is the remainder when i is divided by 16?
15
Suppose 5*l + 274 = 364. Calculate the remainder when 103 is divided by l.
13
Let n(r) = -r**3 - 4*r**2 - 3*r - 3. Suppose -36 + 6 = 3*f. Let h = 43 + f. What is the remainder when h is divided by n(-4)?
6
Let a = 0 - -4. Let m(f) = 129*f - 121. Calculate the remainder when m(1) is divided by a.
0
Let d = 2 - -44. Suppose -5*g + 96 = 16. Calculate the remainder when d is divided by g.
14
Let y = -90 - -93. Suppose h - 856 = -4*i - 3*h, -y*h = 6. Calculate the remainder when i is divided by 31.
30
Let y be 10/(-3)*45/(-25). Calculate the remainder when (-2)/(y/(-9)) - -2*12 is divided by 4.
3
What is the remainder when 120/(-96) - (-18243)/12 is divided by 13?
11
Suppose -36 = -2*j - j. Calculate the remainder when (-4)/j + (-201)/(-9) is divided by 8.
6
Suppose -5*m + 4*k + 1057 + 430 = 0, 3*m - 2*k - 891 = 0. Calculate the remainder when m is divided by 101.
93
Suppose -4*g + 12 = 140. Let l = g + 10. Let c = l + 32. What is the remainder when 27 is divided by c?
7
Let g(c) = 7*c**2 + 12*c + 5. What is the remainder when g(2) is divided by 24?
9
Let d be (-10)/(1 - 3) + 2. Let w = 12 - d. Suppose -w*v = -v - 212. Calculate the remainder when v is divided by 28.
25
Suppose b = 0, 2*z + 4*b - 188 = -2*z. Suppose 5*y - 3*c = y + 71, 3*y = c + z. Calculate the remainder when 54 is divided by y.
12
Suppose -7*c + 500 - 311 = 0. Calculate the remainder when c is divided by 6.
3
Let y = 11 - -43. Let i = 2 - 0. Suppose 0 = i*s + s - 42. What is the remainder when y is divided by s?
12
Let d be 6/1 - 7 - -3. Let v be (0 + 1)*81 + 2. Suppose -d*w + 48 = -2*c, -4*c - v = -2*w - 9*c. What is the remainder when 114 is divided by w?
27
Let p(d) = -7*d + 12. Calculate the remainder when 237 is divided by p(-4).
37
Suppose z = 4*u - 43, -u = u - 2*z - 26. Suppose 1011 = 34*b - 145. What is the remainder when b is divided by u?
4
Suppose 5*v - o = 685, v + 5*o = -0*o + 111. Calculate the remainder when v is divided by 114.
22
Let a = -21 - -23. Suppose 0 = -0*d - a*d + 18. Calculate the remainder when d is divided by 3.
0
Suppose 0 = 13*z - 14*z + 15. Suppose 0 = 3*g - 5*g. Let i(p) = p**2 + p + 56. Calculate the remainder when i(g) is divided by z.
11
Let u(j) = j + 28. Let a = 25 - 13. Calculate the remainder when u(17) is divided by a.
9
Suppose 1242 = -272*y + 299*y. Calculate the remainder when 395 is divided by y.
27
Let p(x) = x**2 + 31*x + 233. What is the remainder when 139 is divided by p(-20)?
9
Let f(j) = -j**3 + 15*j**2 + j - 1. Let w be f(15). Let i = w + -2. What is the remainder when i is divided by 78/15 - 1/5?
2
Let b = -8 - -10. Suppose 2*z + b*g = z + 91, -g = 4*z - 357. Let n(c) = -c**3 + 18*c**2 + 2*c - 13. Calculate the remainder when z is divided by n(18).
20
Let q = 9 - -18. Suppose 13 + q = 4*w. What is the remainder when (-6)/(-3) + 1*26 is divided by w?
8
Let s = 1206 + -572. What is the remainder