 is divided by x.
8
Suppose -17 - 178 = -h. Let d = -90 + h. Suppose -61 = -3*z + 20. What is the remainder when d is divided by z?
24
Suppose 30*j = 29*j - 3*s + 50, -3*j = -3*s - 102. What is the remainder when j is divided by 20?
18
Suppose 3 = 5*k + 3*v - 42, 2*k + 5*v = 37. Suppose -80 = -c + k. What is the remainder when c is divided by 8?
6
Let g be 2/(8/20) + -2. Calculate the remainder when 43 is divided by (-2)/g*363/(-22).
10
Let s(o) = 5*o. Let m be s(-5). Calculate the remainder when 53 is divided by 188/10 - 5/m.
15
What is the remainder when 64 is divided by 155/30 + (-1)/6?
4
Let h(k) = k - 8. Let b be h(-4). Calculate the remainder when (-126)/(-6) + b/(-3) is divided by 14.
11
Suppose -3*r + 4*q + 83 = 0, 0*r - 142 = -5*r + 3*q. What is the remainder when 115 is divided by r?
28
Calculate the remainder when 86 is divided by (75/50)/(6/64).
6
Let l be (-2)/5 - 44/(-10). Calculate the remainder when (6 - 1)/(l + -3) is divided by -2 + 14/5 + (-96)/(-30).
1
Suppose -5*z + 2*z - u + 1247 = 0, 2*z - u - 838 = 0. What is the remainder when z is divided by 137?
6
Calculate the remainder when 77 is divided by 14/(-6)*657/(-511).
2
Suppose -5*v = -2*r + 4*r - 23, 0 = -v + 5*r - 17. Let m(g) = g**2 + g**3 + 0*g**v - 9*g + 6*g**2 - 10. What is the remainder when m(-7) is divided by 18?
17
Suppose -7*d + 14*d - 140 = 0. What is the remainder when d is divided by 7?
6
Suppose 12 = -4*a + 5*a. Calculate the remainder when a is divided by 3.
0
Let a(x) = -4*x - 4 - 4*x + 2 + 3. Let k be a(-2). Let j = 17 + k. What is the remainder when j is divided by 18?
16
Let t(j) = -j**3 - j + 111. Let h be t(0). Suppose 0 = -5*x + 259 + h. Suppose 5*a - 48 - 77 = 0. Calculate the remainder when x is divided by a.
24
Let k be -2 - (0 + -2)*42. Let u = k - 12. What is the remainder when u is divided by 18?
16
Let v(l) = 2*l**2 - 6*l + 12. Let j be v(12). Suppose -m + 7*m - j = 0. Let a = m + -8. What is the remainder when a is divided by 11?
8
Suppose -5*x = -2*o - 48, 0 = 5*x - 4*o - 39 - 7. Suppose -5*p + 0 = -x. What is the remainder when p is divided by 2?
0
Let o = 35 - -56. What is the remainder when o is divided by 19?
15
Let o(p) = -p + 4. Let i be o(4). Suppose i = -4*g - 2*k + 168, g - 2*k - 2*k - 33 = 0. Suppose -v - g = -2*v. Calculate the remainder when v is divided by 11.
8
Suppose 0 = 3*p - 42 - 108. Suppose 6*w + w = 91. Calculate the remainder when p is divided by w.
11
Let s be ((-10)/2)/(13/(-13)). Suppose p = -5*x + 620, -9*p + 8*p - 630 = -s*x. Calculate the remainder when x is divided by 33.
26
Suppose -n - 4 = -0*n, -2*u + 44 = -5*n. Let a be 10/(-6) + u/18. What is the remainder when 19 is divided by 0 + a + 2 + 4?
4
Let x(g) = -g**3 - 17*g**2 - 34*g + 8. Calculate the remainder when 1425 is divided by x(-15).
65
Suppose 0 = -2*j + 52 + 206. What is the remainder when (j/15 + 1)/(5/75) is divided by 29?
28
Suppose -12*n + 16*n = 224. What is the remainder when 110 is divided by n?
54
Suppose -378 = -11*y + 8*y. Let a = y - 89. What is the remainder when 110 is divided by a?
36
Let m = -1 + 6. Suppose 4*o - m = 3*o. Suppose o*c = -f - 0*c + 1, 0 = 5*f + c - 29. What is the remainder when 17 is divided by f?
5
Suppose -7*i = -i - 132. Let u = i - 3. What is the remainder when u is divided by 8?
3
Let a be 0 + 21/6 + 1/2. Suppose a*w + 151 = 3*s, 4*s = 2*s + 2*w + 104. What is the remainder when s is divided by 10?
7
What is the remainder when 404*(-3 - (-63)/18) is divided by 51?
49
Let u(h) = 3*h - 1. Let o(n) = 3*n - 7 - 2 - 4*n + 3. Calculate the remainder when u(2) is divided by o(-9).
2
Let r = -37 - -74. Let a = 52 - r. Calculate the remainder when 4169/143 - 2/13 is divided by a.
14
Suppose 0 = d - 5 - 18. Let o = -5 - -7. Suppose 0 = -3*w - 4*l + 43, -3*w - 2*l + 67 = o*w. What is the remainder when d is divided by w?
10
Suppose -18 = -2*m - 0. Let z = -9 + m. Suppose -x - 5*k + 43 = -z*k, 4*x - k - 130 = 0. Calculate the remainder when x is divided by 18.
15
Let u = -555 - -627. Calculate the remainder when 133 is divided by u.
61
Suppose 0 = 15*t - 100 - 125. Calculate the remainder when 83 is divided by t.
8
Suppose -15*f - 255 = -3585. Calculate the remainder when f is divided by 76.
70
Let h(w) = w**2 + 20*w - 9. Let q(d) = -27*d + 6. Let a be q(1). What is the remainder when h(a) is divided by 8?
4
Suppose 5*t - 17 = c + 17, 5*c - 4*t = -254. Let f = -53 - c. Calculate the remainder when 4 is divided by f.
0
Let b(x) = x**3 + 5*x**2 + 3*x - 4. Let a be b(-4). Let q be 7*(a + -1 + 9). Suppose 3*g - 1 - q = 0. What is the remainder when 56 is divided by g?
18
Suppose 3*d + 3*l = 62 + 85, 5*l + 31 = d. Calculate the remainder when d is divided by 11.
2
Suppose -3*c + 18 = -480. Suppose -y + 90 = 4*n - 77, 2*y = -4*n + c. Calculate the remainder when n is divided by 9.
6
Suppose 1 = l - 0, 2*l = p - 45. Calculate the remainder when 93 is divided by p.
46
Let i(p) = -13*p**2 - 14*p - 15*p**2 + 29*p**2 + 26 - 2*p. What is the remainder when i(15) is divided by (-14)/4*4/(-2)?
4
Suppose 97 - 367 = -5*v. Suppose -v = -11*d + 2*d. What is the remainder when 15 is divided by d?
3
Let z(n) = n**3 + 17*n**2 - 32*n + 137. What is the remainder when 665 is divided by z(-19)?
21
Let i(d) = 749*d + 21. Let b be i(3). Suppose 12*t - 21*t = -b. What is the remainder when t is divided by 23?
22
Suppose 24*y - 23*y - 6 = -2*j, 3*y + 5*j = 21. Let k = 184 - 31. What is the remainder when k is divided by y?
9
Suppose 21*r = 23*r + 134. Let m = r - -116. Calculate the remainder when 142 is divided by m.
44
Let z(u) = u**2 - 16*u - 81. Calculate the remainder when 383 is divided by z(21).
23
Suppose 0 = 3*q - 2*o - 13 - 8, 11 = 4*q + 3*o. Suppose -g = q*h - 16, g - 6*h - 8 = -3*h. What is the remainder when 74 is divided by g?
8
Let p(z) = 8*z**3 - 2*z**2 - 7*z + 21. Calculate the remainder when p(4) is divided by 79.
78
Suppose 9*g - g = 136. Suppose j - c + 4 = 3*c, -6 = -2*j + c. What is the remainder when g is divided by j?
1
What is the remainder when 43 is divided by (48/(-8))/((-2)/1)?
1
Let p be (-2)/9 - 460/(-45). Let m(y) = y**2 - 8*y - 17. What is the remainder when m(p) is divided by (-4)/10 + (-12)/(-5)?
1
Let h(p) be the first derivative of p**3/3 + p**2/2 + 12*p - 8. Calculate the remainder when h(-10) is divided by 35.
32
Let v(s) = -s**3 + 6*s**2 - 3*s - 14. Let l be v(5). Calculate the remainder when 46 is divided by (-52)/(15/20 - (-11)/l).
20
Let a(q) = 4*q + 65. Calculate the remainder when a(-3) is divided by 47.
6
Suppose 21*y + 49*y - 8*y - 1364 = 0. What is the remainder when y is divided by (-3)/6 - (-29)/2?
8
Suppose t = 4*t - 3*p + 105, -2*p + 100 = -3*t. Let n = -15 - t. Suppose -2*j = -3 - n. Calculate the remainder when j is divided by 3.
0
Suppose -29 = -k - 5*t, 3*k - 2*t + t = 71. Suppose 4*i = -k + 32. What is the remainder when i is divided by 1?
0
Let i = -252 - -272. Calculate the remainder when 92 is divided by i.
12
Let r(w) = -23*w + w + 7 - 9. Let u be r(-2). Suppose -2*p + u = p. Calculate the remainder when 40 is divided by p.
12
Suppose 2111 - 895 = 8*l. Suppose -m = -2*t - 0*t - l, -m - 4*t = -140. What is the remainder when m is divided by 15?
13
Let p = 169 - 132. Calculate the remainder when 124 is divided by p.
13
Let l be ((-16)/20)/(2/(-20)). Suppose -2*h - 2*h = -l. Suppose -m + h*a + 14 = 0, 5*m + a = 3*a + 62. What is the remainder when 32 is divided by m?
8
Suppose 3*k - 6*k = 24. Let v(h) = h**3 + 6*h**2 - 18*h - 12. Calculate the remainder when 41 is divided by v(k).
1
Suppose -203*i + 195*i = -8. Suppose 3*m - 9 = -0*m. Calculate the remainder when m is divided by i.
0
Suppose j = -5*t - 0 + 20, -j - t = -32. Calculate the remainder when 278 is divided by j.
33
Suppose 4*t + 36 = 2*m + t, -m + 27 = 3*t. Let k(v) = v + 9. Let g be k(15). Suppose 2*p - g = -2*p. What is the remainder when m is divided by p?
3
Let i(x) = -6*x - 12. Let u be i(-4). Suppose -u*q + 3 = -11*q. Suppose 0 = 6*y - q*y - 60. What is the remainder when 59 is divided by y?
19
Suppose -7*r - 7*r = -42. What is the remainder when 129 is divided by r + (12 - -1) - 4?
9
Suppose -795 = -8*i - 99. What is the remainder when i is divided by 22?
21
Suppose w + 2*d = 3*w - 612, 2*d = 4*w - 1228. Suppose 4*k = -0*k + w