k - q = 71, 8*q - 13*q = -4*k + 289. Calculate the remainder when k is divided by 4.
2
Suppose -2*h = x - 353 - 95, -4*h + 5*x = -924. What is the remainder when h is divided by 59?
49
Let k(t) = t**2 - 4*t + 11. What is the remainder when 156 is divided by k(7)?
28
Let j(s) = -s**2 - 9*s - 15. Let i be j(-8). Let l(w) = w**3 + 8*w**2 + 5*w - 8. What is the remainder when 21 is divided by l(i)?
3
Let i = -6 + 10. Suppose -i*l + 25 = l. Suppose 0 = -l*a - 14 + 39. Calculate the remainder when a is divided by 4.
1
Let w(q) = q**2 + 7*q - 33. Suppose 3*y = 13 + 5. Let i = -22 - -34. What is the remainder when w(y) is divided by i?
9
Suppose -7*p = 122 - 668. What is the remainder when p is divided by 21?
15
Let f(b) = -21*b**2 - 2 + 1 + 69*b**2. What is the remainder when f(1) is divided by 2/(-5) - 164/(-10)?
15
Let l = -71 + 71. Suppose -20 = -4*j - l*j. Calculate the remainder when 19 is divided by j.
4
Let q = -5 + 8. Let t(w) be the second derivative of w**4/6 + w**3/2 + w**2 - 20*w. Calculate the remainder when t(q) is divided by 8.
5
Suppose 8*n - 3*n = -b + 413, -4*n = 3*b - 337. Let a = n - 75. Calculate the remainder when 23 is divided by a.
2
Suppose y - 2*y + 13 = 0. Suppose -2*d + 240 = 4*k, -12*k + 9*k + 170 = 4*d. Calculate the remainder when k is divided by y.
10
Let z = 5 - -5. Suppose -z*v + 3*v - 77 = 0. Let c = v + 14. Calculate the remainder when 3 is divided by c.
0
Let b = -216 + 283. What is the remainder when 266 is divided by b?
65
Suppose 0 = 2*c + 2*i - 232, 2*i + 590 = 5*c - 3*i. Calculate the remainder when c is divided by 6.
3
Suppose -48 = -p + 2*m, -3*m - 86 + 339 = 5*p. What is the remainder when p is divided by 23?
4
Suppose 3*m + 2*m - 50 = 0. Calculate the remainder when 53 is divided by 2 - (-43)/5 - (-4)/m.
9
Let o be 4/28 - 13/(-7). Suppose 0*q + o*q - 78 = 0. Calculate the remainder when 153 is divided by q.
36
Let x(g) = -g + 18. Let t(c) = -3. Let z(a) = -34*t(a) - 6*x(a). Let s be z(5). Suppose s - 68 = -2*r. Calculate the remainder when 65 is divided by r.
21
Suppose -8*u - 38*u = -1058. Calculate the remainder when 228 is divided by u.
21
Let p(i) = i**3 - 2*i**2 - 7*i + 1. What is the remainder when p(5) is divided by (5 + -4 + 0/(-1))*4?
1
Let y = -94 + 184. What is the remainder when (24/(-15))/((-6)/y) is divided by 9?
6
Let t = 45 + -10. Calculate the remainder when 1211/t - (-2)/5 is divided by 4.
3
Let n = 173 - 77. Calculate the remainder when n is divided by 14.
12
Let v = 13 - 5. Calculate the remainder when 2/(-6 + 2)*-30 is divided by v.
7
Let c(f) = 7*f - 2*f - 5 + 4*f + 0. Calculate the remainder when 117 is divided by c(5).
37
Let f be (3 + -5 - -1)*-7. Suppose 5*t = 87 - f. Calculate the remainder when 38 is divided by t.
6
What is the remainder when (-1)/1 + (30 - (2 + -5)) is divided by 10?
2
Let x = -3 + -6. Let f be (30/25)/(x/(-240)). Calculate the remainder when 41 is divided by f/(-48) - 47/(-3).
11
Let i be ((-20)/30)/(2/(-27)). Suppose -104 = -i*p + 40. Calculate the remainder when (-91)/(-2) + 1/(-2) is divided by p.
13
Suppose 547 = 9*r - 146. Let j = 92 - r. What is the remainder when 18 is divided by j?
3
Let t(l) = -l + 2. Let p be t(-3). Suppose -p*r + 18 = -3*d - 4, 2*d - 22 = -4*r. Suppose 0 = r*k - 15 - 115. What is the remainder when k is divided by 7?
5
Let v(m) = 2*m**2 + 26*m + 97. What is the remainder when v(-20) is divided by 42?
41
Let o(t) = t**3 - 22*t**2 - 22*t - 23. Let f be o(23). Suppose f = 4*s + g - 5*g - 24, -2*s = -4*g - 8. Calculate the remainder when 22 is divided by s.
6
Let p(j) = -36*j - 5. Calculate the remainder when p(-5) is divided by 2/1*(-12320)/(-528) + 2/(-3).
37
Let t = -150 + 154. Calculate the remainder when 17 is divided by t.
1
Let m(y) = -y**3 + 28*y**2 + 34*y - 70. Let t = 35 - 21. Suppose k - 12 = t. Calculate the remainder when m(29) is divided by k.
23
Suppose 3662 = 90*l - 5068. Suppose 3*u - 33 - 42 = 0. What is the remainder when l is divided by u?
22
Let u(g) be the first derivative of g**4/4 - 6*g**3 - 17*g**2/2 - 18*g - 15. What is the remainder when u(19) is divided by 7?
6
Suppose -75 = -53*t + 50*t. Suppose -5*w + 4*w + t = 0. Calculate the remainder when 97 is divided by w.
22
Let p(r) = -59*r - 10. Calculate the remainder when p(-2) is divided by -4 + 27 + (-1 - 0).
20
Let w = 690 - 668. Suppose -j + 95 - 10 = 0. What is the remainder when j is divided by w?
19
Suppose r + 304 = 5*v - 74, -3*v - 1134 = 3*r. Calculate the remainder when (r/(-81))/((4/18)/1) is divided by 13.
8
Let j(i) = 1 + 2*i**3 - 4 + 12*i - 3*i**2 - 9*i. Calculate the remainder when j(2) is divided by 3.
1
Suppose 167 = -4*w - 33. Let g = w + 82. Calculate the remainder when g is divided by 7.
4
Suppose 567 = -146*f + 167*f. What is the remainder when f is divided by 1*(-2 + 1) + 8?
6
Let u = 1331 - 1240. Calculate the remainder when u is divided by 76.
15
Let d = -73 - -82. Calculate the remainder when (d/((-45)/(-8)))/(2/55) is divided by 13.
5
Suppose 4*s + 0*s - 71 = 3*q, -5*s + 81 = 4*q. Suppose 17*a = 21*a + 420. Let f = 114 + a. What is the remainder when s is divided by f?
8
Let d(q) = q**3 + q**2 - 4*q + 2. Let m(g) = -g**3 - 4*g**2 + 2. Let k be m(-4). What is the remainder when 40 is divided by d(k)?
4
Let x = -153 + 348. What is the remainder when x is divided by 64?
3
Let k = -67 + 94. What is the remainder when 377 is divided by k?
26
Let q be ((-80)/60)/(2/(-3)). Suppose 13 + 99 = q*b. What is the remainder when b is divided by 20?
16
Let o(w) = 26*w**2 - 2*w + 1. Let f = -2 + 3. Calculate the remainder when o(f) is divided by (-8)/36 + 4 + 329/63.
7
Suppose 2*j - 2*l = -2*j + 1018, 0 = -5*l - 5. Let u = -151 + j. What is the remainder when u is divided by ((-65)/(-20))/((-1)/(-8))?
25
Let l = -29 - -56. Suppose -j + l = 3*r + 4*j, 0 = 3*j + 9. What is the remainder when r is divided by 3?
2
Suppose 0 = -p - 0 + 5. Suppose p*k - 3*j = 150, -4*k + 3*j + 0*j + 120 = 0. Suppose 3*c = -0*c + k. Calculate the remainder when 37 is divided by c.
7
Suppose 4*u = -4*k + 660, 5*u = -18*k + 19*k - 165. What is the remainder when k is divided by 55?
0
Let k(d) = d**3 + 17*d**2 + 20*d - 51. Calculate the remainder when k(-13) is divided by 22.
13
Let j(k) = 5*k**2 - 21*k - 15. Calculate the remainder when j(8) is divided by 29.
21
Let h(a) = 11*a. Let v be h(-3). What is the remainder when -1 - 8/18*3*v is divided by 11?
10
Let g = 122 - 104. What is the remainder when g is divided by 3?
0
Suppose -r = -4*r + 12. Suppose -25 + 5 = -r*k. Let s = -289 + 302. Calculate the remainder when s is divided by k.
3
Let m = 29 + -18. Suppose -3*u - 10 = -2*q - 32, 22 = 2*u - 5*q. Calculate the remainder when m is divided by u.
5
Let t(p) = 87*p**3 + p - 1. Let s be t(1). Suppose 20*c - 21*c = -s. What is the remainder when c is divided by 30?
27
Suppose -8*t + 4*t + 152 = 4*y, 4*t + 23 = y. Calculate the remainder when 171 is divided by y.
31
Suppose 4*x = 2*b - 352, 898 = 11*b - 6*b - 4*x. Calculate the remainder when b is divided by 49.
35
Suppose 7*t + 4 = 9*t. Suppose 0 = -2*c - 2*c + 4. What is the remainder when ((-2)/(-5))/(c/15) is divided by t?
0
Suppose -6*p + 68 = 20. Calculate the remainder when 39 is divided by p.
7
Let y(v) = v + 23. Let r be y(-18). Suppose a = -r*l + 25, 3*a = a - 3*l + 57. Calculate the remainder when 119 is divided by a.
29
Let h = 588 - 572. What is the remainder when 47 is divided by h?
15
Let y(u) = 7*u - u**2 - u**3 - 10*u**3 + 7 + 10*u**3. Let b be y(-6). Suppose 0 = -5*a - 0*a + b. Calculate the remainder when a is divided by 16.
13
Let n(d) be the third derivative of d**5/20 + 4*d**4/3 + 11*d**3/3 + 20*d**2. What is the remainder when n(-13) is divided by 29?
26
Calculate the remainder when 164 is divided by (459/(-45) - -11)*(-85)/(-2).
28
Let t = -338 + 364. Calculate the remainder when 38 is divided by t.
12
Let z be (-10)/45 - (-152)/36. Suppose -3*v + 0*v = b - 24, z*b - v = 122. Let k = 14 + -3. Calculate the remainder when b is divided by k.
8
Suppose -2*i + 4 = 0, -4*i = a - 20 - 17. What is the remainder when 637 is divided by a?
28
Suppose 5 = u, -4*s + 3*u = -14 - 111. Let a = -15 + s. What is the remainder when 37 is divided by a?
17
Let g be (-2*24)/((-15)/(-15)). Let s = g - -57. Calculate the re