uppose 6*k + k = j. What is the remainder when k is divided by 11?
7
Let x be -1 - -106*(-3)/(-2). Let b = x + -94. Suppose 5*d + 71 = 2*p, -5*p - 3*d + 188 - 26 = 0. What is the remainder when b is divided by p?
31
Let a = 1813 - 1664. What is the remainder when a is divided by 40?
29
Let v(i) = i**3 + 8*i**2 + 6*i - 1. Suppose -4*g + 138 = 2*c, -6*g + 158 = -2*g - 2*c. Calculate the remainder when g is divided by v(-7).
1
Let r(u) = -u**2 - u. Let b(g) = -2*g**2 + 4. Let w(f) = b(f) - 5*r(f). Let t be w(-3). Let d = -12 + t. What is the remainder when 9 is divided by d?
1
Calculate the remainder when 131 is divided by (-24)/18*(-345)/10.
39
Let w(b) = -b**3 - 6*b**2 + 14*b - 2. Suppose 0 = 2*n - 3*k + 16, -n + k = -4*k + 8. What is the remainder when w(n) is divided by 5?
4
Let o(v) = -v**3 + v**2 - v - 11. Let i = -35 - -35. Let l be o(i). What is the remainder when 45 is divided by (l - -14)/(6/32)?
13
Let c be (-4)/14 + (-99)/(-77). Suppose -5*l - 3*v = -7 + c, 0 = 2*l - 5*v - 21. Calculate the remainder when ((-16)/l)/((-10)/60) is divided by 12.
8
Suppose 21*c = 13*c + 312. What is the remainder when 150 is divided by c?
33
Suppose 195 = -3*i + 5*z, -65 = 3*i - 2*i + 5*z. Let t be (4 + 17)/(3/16). Let l = t + i. Calculate the remainder when l is divided by 16.
15
Suppose 29*i - 26*i - o - 6 = 0, -2*i + 3 = -o. Calculate the remainder when 19 is divided by i.
1
Let d(n) be the third derivative of n**4 + 20*n**2. What is the remainder when d(1) is divided by 13?
11
Let d(i) be the second derivative of 5*i**3/6 - 31*i**2/2 + 4*i. Calculate the remainder when 49 is divided by d(9).
7
Let y be ((-32)/20)/(8/60). Let t(r) = 3*r**2 - 3*r - 3. Let c be t(-2). Let x = c + y. Calculate the remainder when 9 is divided by x.
0
Suppose -5*n = -2*q + 339 + 904, 2*q = -5*n + 1193. Suppose -6*a + q - 147 = 0. Suppose 289 = 4*y + a. Calculate the remainder when y is divided by 18.
17
What is the remainder when 19 + 0/3 - (14 + -14) is divided by 11?
8
Let q = 247 + -182. Calculate the remainder when q is divided by 17.
14
Let i(t) = -6*t - 173. Let p(m) = m**2 + 7*m + 4. What is the remainder when i(-32) is divided by p(-7)?
3
Let c(z) = z**3 + 7*z**2 - 5*z + 1. Let x(r) = -3*r**3 - 20*r**2 + 16*r - 2. Let s(l) = 8*c(l) + 3*x(l). What is the remainder when 102 is divided by s(-6)?
24
What is the remainder when (230/(-25) - -9) + 9092/10 is divided by 11?
7
Suppose 0*y - 6 = -2*y. Suppose -2*g = -90 + 80. What is the remainder when g is divided by y?
2
Suppose -5*f - 317 = -1727. Suppose -66 + f = 6*q. Calculate the remainder when q is divided by 10.
6
Suppose -175 = -10*t - 25. Calculate the remainder when 67 is divided by t.
7
Let g = -3 + 8. Suppose 4*s = 4*l + 16, -4*l = l - 25. What is the remainder when s is divided by g?
4
Suppose -2*q + 2 = -d, -4*d + 7*d - 10 = -2*q. Calculate the remainder when 5/(55/q) + (-390)/(-33) is divided by 8.
4
Let u = -470 - -490. Calculate the remainder when 99 is divided by u.
19
Let a = -10 + 44. Let o(i) = -12*i. Let z be o(1). What is the remainder when a is divided by (-142)/z + (-1)/(-6)?
10
Suppose 17*b - 16*b + m - 14 = 0, 60 = 4*b + 3*m. Let v(l) = 2*l + 8. Let h be v(-10). Let q = 63 + h. What is the remainder when q is divided by b?
15
Suppose 0 = h + 3*h - i - 42, -h + 4*i + 18 = 0. Calculate the remainder when (-3)/5 - (-786)/h is divided by 20.
18
Let f = 4566 + -4531. What is the remainder when f is divided by (-4)/18 + 328/18?
17
Let w = 561 - 527. What is the remainder when 575 is divided by w?
31
Suppose 0 = 39*n - 23*n - 5168. Calculate the remainder when n is divided by 18.
17
Let b = 79 - 44. Let t be b + 4/(-12)*-3. Let i = -32 + t. What is the remainder when 10 is divided by i?
2
Let n(v) = 23*v**2 + 4*v - 3. Let r = 58 - 57. Calculate the remainder when n(r) is divided by 9.
6
Suppose -j - 19*j = -1480. Calculate the remainder when 158 is divided by j.
10
Suppose -f + 20 = 5*m + 126, -5*f = -3*m + 586. Let h = f + 125. Let p = -6 - -40. What is the remainder when p is divided by h?
7
Let t = 2407 - 1523. What is the remainder when t is divided by 15?
14
Suppose 2*f - 10 = -3*f. Suppose 4 - f = w. Suppose 3*u - 22 = w*p, -u + 3*p + 24 = -p. What is the remainder when 12 is divided by u?
0
Let z = -1770 + 1859. Calculate the remainder when 339 is divided by z.
72
Let n = 178 + -126. Let v = -94 - -96. Suppose 4*j - 20 - 32 = -2*p, -2*p - 32 = -v*j. Calculate the remainder when n is divided by j.
10
Let c(n) = -14*n - 1. Let h be -3*6/9 - -4. Suppose -b - h*b - 6 = 0. What is the remainder when 53 is divided by c(b)?
26
Calculate the remainder when 78 is divided by (-1626)/(-33) + (-3)/11.
29
Suppose 84 = 29*g - 27*g. Calculate the remainder when 155 is divided by g.
29
Suppose -5*c - 2*v = 133 + 22, -5*c - 150 = v. Let a = c - -64. Calculate the remainder when 69 is divided by a.
34
Let t(l) = 33*l**2 + 1. Suppose x + 2*z = -3*z - 9, 0 = 3*z + 6. Suppose 0*d + x = -d. Calculate the remainder when t(d) is divided by 12.
10
Let j = -21 + 77. What is the remainder when 187 is divided by ((-76)/(-16))/(7/j)?
35
Suppose 0 = -10*k + 3*k + 189. Suppose -5*g + 208 = -k. What is the remainder when 89 is divided by g?
42
Let a(t) = t**2 - 5*t + 6. Let z be a(4). Suppose -5*j + 225 = 7*h - z*h, -h = -4*j + 200. Calculate the remainder when j is divided by 34*(-4)/40*-5.
15
Suppose -2*t = -5*t - 30. Let s = 8 + t. Calculate the remainder when (s + 0)*(-86)/4 is divided by 22.
21
Let k(y) = y**3 - 15*y**2 - 10*y + 31. What is the remainder when k(16) is divided by 8?
7
Let h be (-24)/9 - 2/(-3). Let a = 5 + h. Let j(t) = t**2 + 7*t + 11. What is the remainder when j(-6) is divided by a?
2
Let x = -42 + 32. What is the remainder when 82 is divided by (-88)/(-5)*(-25)/x?
38
Let c(p) = -p**3 - 7*p**2 - 5*p + 11. Let d be c(-6). Let k = 19 + d. Suppose -5*q + 31 + k = 0. Calculate the remainder when q is divided by 3.
2
Let w = 61 - 35. Let k = 110 - 110. Suppose -2*p = -4*j - 112, -4*p = j - k*j - 197. What is the remainder when p is divided by w?
24
Let b = -20 + 14. Let r be b*(-3 + 16/6). Calculate the remainder when 17 is divided by (r/(-4))/(4/(-72)).
8
Let w = -323 + 444. What is the remainder when w is divided by 25?
21
Let f be (1 - (1 - 1))*3. Suppose -x = -4*j + 171, -4*j + f*x = j - 212. Calculate the remainder when j is divided by 11.
10
Suppose 2*p - 325 - 143 = 0. What is the remainder when p is divided by 4 + -5 + 3 + 58?
54
Let t(d) = 13*d - 55. Let i be t(4). Calculate the remainder when 3 is divided by (i + -1 + 3)*(-21)/7.
0
Suppose 0 = 4*l - 4, 2*w + 3*l + 9 = 214. Let q = 52 - 31. Calculate the remainder when w is divided by q.
17
Let i(t) = -12*t + 153. Calculate the remainder when 789 is divided by i(12).
6
Suppose -221 - 117 = -13*g. What is the remainder when 275 is divided by g?
15
Let z = 333 + -308. Calculate the remainder when z is divided by 6.
1
Let s = 206 + -112. Suppose 3*i + 4*y = s, 0*y - 48 = -i + 2*y. Calculate the remainder when i is divided by (11 - 1)/(6 - 5).
8
Let s be 14 + -6*6/12. Suppose -c + 26 - s = 0. What is the remainder when (-401)/(-7) + (-2)/7 is divided by c?
12
Let d be (-2 + -2)/4 + 4. Suppose -d*p + 6 = 9. Let g = 4 + p. Calculate the remainder when 9 is divided by g.
0
Suppose -347 = -5*i + 4*v, -i = 2*v - 10 - 65. What is the remainder when i is divided by 12?
11
Let d(p) be the third derivative of p**5/60 - p**4/6 - 2*p**3 - 6*p**2. Let l be d(9). Suppose -l - 18 = -3*j. Calculate the remainder when 47 is divided by j.
13
Suppose 3*n = -a + 21, -3*n = -7*n + 4. Suppose -3*f - 3 = -9. What is the remainder when a is divided by 3*(1*f/6 - -3)?
8
Let w = 31 - -108. Calculate the remainder when w is divided by 35.
34
Let p be 9/6*294/9. Let f = 8 + p. Let d = -16 + f. What is the remainder when d is divided by 11?
8
Let h(w) = -w**3 - 9*w**2 - 18*w - 7. Calculate the remainder when h(-9) is divided by 41.
32
Suppose -4*g + 6 = 2*d, -111*d + 5*g = -115*d + 27. Calculate the remainder when 181 is divided by d.
12
Let t = -30 + 55. Suppose -3 = 4*x - 27. Suppose 41 = j - x. Calculate the remainder when j is divided by t.
22
Suppose 10*c - 2*h = 15*c - 133, 0 = 4*c - 4*h - 112. What is the remainder when 70 is divided by c?
16
Suppose 0 = -2*y + 8 + 2. S