 Calculate the remainder when k is divided by 56.
55
Let t(y) = y**3 + 3*y**2 - y**2 - 6 - 11*y**2 + 0 - 9*y. Let p(v) = -v**3 + 6*v**2 + v + 4. Let h be p(6). Calculate the remainder when t(h) is divided by 1.
0
Let m(u) = 14*u**2 + u - 13. What is the remainder when m(3) is divided by (-744)/(-56) - 2/7?
12
Suppose -122 - 118 = -16*q. What is the remainder when 238 is divided by q?
13
What is the remainder when (6 - 15) + 4401/9 is divided by 21?
18
Let k(d) = 24*d - 176. What is the remainder when 17 is divided by k(8)?
1
Suppose -10 = -3*w + 5. What is the remainder when 1*(-1 + 13 + 1) is divided by w?
3
Let k be (124/(-3))/(6/(-18) - 0). Let o = k - 67. What is the remainder when o is divided by 15?
12
Suppose -4*o - 1 + 17 = 0. Let z(u) = 2*u**3 - 8*u**2 + 3*u - 4. Calculate the remainder when 27 is divided by z(o).
3
Let v = 77 - 8. Let d be ((-4)/(-5))/((-10)/(-200)). Suppose -d = -5*w + v. What is the remainder when 49 is divided by w?
15
Let k(j) = -30 - 14*j**2 - 11*j - 2*j + 27 - j**3 - 6*j. Calculate the remainder when k(-13) is divided by 13.
10
Let f(l) = l**3 - 7*l**2 - 7*l - 5. Let c be f(8). What is the remainder when (-28)/(2 + (-8)/c) is divided by (3/4 - -3)*4?
12
Suppose -3*z + n + 112 = 0, -5*z = -n - 102 - 86. Let t = -33 + z. Calculate the remainder when t is divided by 3.
2
Let d = -49 - -50. What is the remainder when (d - (-18)/(-2))*(-2 + -7) is divided by 15?
12
Let s = 4 - 0. Suppose 0 = -4*t - 2*c + 70, -4*c = -s*t - 0*t + 88. Calculate the remainder when t is divided by (-4 - (-38)/10)*-55.
8
Suppose 3*x - 3*m + 7*m - 31 = 0, 0 = -3*x - 5*m + 32. What is the remainder when 23 is divided by 2 - x/((-18)/20)?
11
Suppose 4*n - 12 = -4. Let v(m) = -24*m**n + 92*m**2 - 5*m + 4*m. What is the remainder when v(1) is divided by 17?
16
Let a = -28 - -49. Suppose -3*w + 61 = -2*w. What is the remainder when w is divided by a?
19
Let m(a) = -5*a**3 + 4*a**2 - 4*a - 15. What is the remainder when 286 is divided by m(-2)?
41
Let s(w) = w**3 - 8*w**2 + 8*w - 2. Let t be s(7). Suppose -t*f = -0*f + 135. Let k = f + 32. What is the remainder when 8 is divided by k?
3
Let u(y) = 5*y**2 - y - 1. Let n = -11 + 1. Calculate the remainder when u(4) is divided by (-60)/24*104/n.
23
Let y(t) = 6*t**2 - 5*t + 4. Let l = -7 - -18. Calculate the remainder when y(3) is divided by l.
10
Suppose -3*i + 2*b + 25 = 0, i + 4*b = 2*i - 25. Suppose i*n + q = 55, -3*n - q - 35 = -7*n. Calculate the remainder when (38/6)/((-1)/(-3)) is divided by n.
9
Let k(o) = 3*o + 39. Let q be k(-13). Let n(b) = b**3 - 2*b**2 - 2*b + 81. Calculate the remainder when n(q) is divided by 21.
18
Let l = -1283 - -1544. What is the remainder when l is divided by 12?
9
Let f = 29 - 17. What is the remainder when 129 is divided by f?
9
Suppose 5*m = -5*c + 6*m + 23, 0 = -2*m + 4. Suppose -3*r = r - 4*o - 364, r - 103 = c*o. Let z(h) = 7*h - 5. What is the remainder when r is divided by z(5)?
28
Let j be 1*-3*(-3 + 57/9). Let x(n) = 2*n + 25. What is the remainder when 29 is divided by x(j)?
4
What is the remainder when -1*(-165 + -7) + 6 is divided by 45?
43
Let f(j) be the second derivative of -2*j**3/3 - 2*j**2 + j. Suppose 24 = -23*w + 93. What is the remainder when f(-3) is divided by w?
2
Suppose -a + 44 = -4*g, 8*a + 5*g - 26 = 7*a. Calculate the remainder when 227 is divided by a.
11
Let o = 31 + -18. Suppose -2*m = -0*c + 4*c - 2, m = 5*c + 1. Suppose c = -4*f + 11 + o. What is the remainder when 16 is divided by f?
4
Let g = 2956 - 2889. What is the remainder when g is divided by 11?
1
Let q = 0 + -2. Calculate the remainder when (-98)/q - (0 - -2) is divided by 9/(-4)*16/(-3).
11
Suppose 2*s + 4*t = s - 12, -5*s = -t - 3. Suppose 2*u + 3*k = 8 + 25, -u + 3*k + 12 = s. What is the remainder when 73 is divided by u?
13
Suppose 6*v = 5*v + 12. Calculate the remainder when 33*(2 + (-20)/v) is divided by 2.
1
Suppose 59 = k - i, -4*k + i + 76 = -148. Calculate the remainder when k is divided by 23.
9
Suppose 0 = p + 2 + 4. Let a = 11 + p. Let n(v) = -2*v - 7. Calculate the remainder when n(-7) is divided by a.
2
Let c be ((-33)/1 - 3)*-2. Suppose -c = 2*j - j - 5*x, 0 = -x. What is the remainder when 69 is divided by 0/1 - j/3?
21
Suppose -7*u - 5*o + 62 = -3*u, 3*u - 4*o = 62. Calculate the remainder when 86 is divided by u.
14
Let v(a) = -a**3 - 19*a**2 - 19*a + 5. What is the remainder when 157 is divided by v(-18)?
19
Suppose 7*p - 16 = 2*p - 3*g, 5*p = -5*g + 10. What is the remainder when (-3136)/(-168) - (-3)/9 is divided by p?
4
Let p(y) = -y**3 - 4*y**2 - 16*y + 8. Calculate the remainder when p(-5) is divided by 20.
13
Let n(k) = -k**3 + 4*k**2 + 2*k - 4. Let z be n(5). Let r = 29 - z. What is the remainder when r is divided by 26?
22
Suppose -14*i + 120 = -6*i. Suppose x - 3*x + 54 = 0. What is the remainder when x is divided by i?
12
Suppose p + 74 = 5*x, 26 = -5*x + 3*p + 98. Calculate the remainder when 100 is divided by x.
10
Let g(q) = 4*q**2 + 3*q + 2. Let s be g(-1). Let o = 2 + 1. What is the remainder when (-22)/(1 - s) + o is divided by 8?
6
Let t(w) = 5*w + 2. Let f(l) = -l**2 - 8*l - 10. Let s be f(11). Let x = -141 - s. What is the remainder when x is divided by t(5)?
24
Let g = -31 - -32. Calculate the remainder when 53 is divided by (32/g - -4)/2.
17
Let h = 10 - 6. Let v(c) = c**3 - 20*c**2 + 18*c + 61. Calculate the remainder when v(19) is divided by h.
2
Let r = 34 + -16. Calculate the remainder when 8/40*265*1 is divided by r.
17
Let f(l) = -74*l + 551. Calculate the remainder when 1388 is divided by f(6).
104
Let w = -110 + 161. Suppose -13*c - 3*v + 177 = -8*c, 5*c + 5*v - 175 = 0. Suppose -8*f = -c*f + 504. What is the remainder when w is divided by f?
15
Let i = 762 - 683. Suppose 0*o - 69 = -5*r - 3*o, -2*o = 5*r - 66. Let k = r + 8. Calculate the remainder when i is divided by k.
19
Suppose 36 = -2*h + 5*h. What is the remainder when h is divided by -8*(-6)/6 - 4?
0
Calculate the remainder when 38 is divided by ((-34)/(-10))/(15/75).
4
Suppose 24*l - 362 = -50. Calculate the remainder when 75 is divided by l.
10
Let x(n) = -n + 8. Let c be x(5). Suppose -c + 27 = -4*k. Calculate the remainder when 17 is divided by ((-4)/k)/((-10)/(-135)).
8
Suppose -3*y - 465 = -3*m, 0*y = 3*m + 2*y - 465. Suppose 12 = 2*b - 66. Calculate the remainder when m is divided by b.
38
Suppose 2243 = 23*a - 1437. What is the remainder when a is divided by 35?
20
Let j(o) = -o**3 - 4*o**2 + 10*o + 8. Let a(v) = -8*v - 20. Let l be a(-6). Suppose -26*t = -l*t + 22. What is the remainder when j(-6) is divided by t?
9
Suppose -5*n = 5*a - 190, 4*a - 4*n + 2*n = 152. What is the remainder when a is divided by 9?
2
Let w = 131 + -111. Let u(t) = -t + 12. Let n be u(4). What is the remainder when w is divided by (-6)/9*(-84)/n?
6
Let w(n) = -3*n - 1. Let q be (-3)/6*1*4. Let a be w(q). Suppose 2*u - 2*r = 5*u - 66, a*u - 2*r = 110. What is the remainder when 42 is divided by u?
20
Let m(y) = y**3 - y**2 - 3*y + 3. Let i be m(3). Let l = i - 9. Suppose l*v + 150 = 8*v. What is the remainder when v is divided by 11?
8
Suppose -4*w = 20 - 108. Let f = -78 - -109. Let l = f - 25. What is the remainder when w is divided by l?
4
Suppose -8*l + 22 + 98 = 0. Calculate the remainder when 1588 is divided by l.
13
Let p(y) = -y - 5. Let r be p(-8). Suppose 9*n = r*n. Suppose -3*s + 5*m = 2*m - 57, n = 2*s + 4*m - 14. What is the remainder when 29 is divided by s?
14
Suppose 0 = 2*j + 2*j - 8. Suppose -b - j*t + 5 = 0, 0*b + 5*b - t = 47. Calculate the remainder when b is divided by 4.
1
Let t(a) = 3*a - 31. Let i be t(12). Calculate the remainder when 26 is divided by (44/8 - i)/((-2)/(-12)).
2
What is the remainder when 186 is divided by 96/5*50/15?
58
Let j = -20 + 373. Suppose -5*q + j = 48. What is the remainder when q is divided by 16?
13
Let s be 3/(-2)*32/(-12). Suppose 2*y + y + 2*b = 73, -s*b - 4 = 0. Suppose u + 3 = 2*l + 60, 3*u = -4*l + 131. What is the remainder when u is divided by y?
24
Let o = 23 - 4. Suppose -5 + 1 = -4*k. What is the remainder when o is divided by (-1 - k)/((-4)/20)?
9
Suppose 0 = 4*r - 5*c - 10, -3*r - c = c - 19. Suppose -3 = -2*n + 3*p, n - r*p = -2*p - 3. Calculate the remainder when -1 + (0 - 1) + 9 + 3 is divided by n.
4
