*o - 19, -3*o = 3*s - y. What is the remainder when 12 is divided by s?
0
Let n(m) = m + 4. Suppose 3*x + 14 = 5*x. Let t(q) = q**2 - 3*q - 8. What is the remainder when t(x) is divided by n(7)?
9
Suppose -293 = -9*d + 13. Calculate the remainder when 163 is divided by d.
27
Let f = 804 + -682. Calculate the remainder when f is divided by 34.
20
Let t(a) = -19*a - 23. Suppose 5*u - 215 = -0*u. What is the remainder when u is divided by t(-2)?
13
Let j(l) = l**3 - 39*l**2 - 24*l - 64. Calculate the remainder when j(40) is divided by 58.
54
Let g(q) be the third derivative of q**5/60 + 7*q**4/12 + 11*q**3/6 - 7*q**2. Let d be g(-12). Let t = 14 + d. Calculate the remainder when 4 is divided by t.
0
Suppose b + 447 = 5*h + 5*b, -87 = -h - 2*b. Calculate the remainder when 349 is divided by h.
76
Let y(n) = -15*n - 120. Suppose 2*m = r - 10, 4*m = -r - 0*m - 8. What is the remainder when 1/r - 462/(-8) is divided by y(-9)?
13
What is the remainder when 3110/8*2/(-4)*-8 is divided by 19?
16
Let s = -95 + 137. Let l = 38 - 35. Suppose 2*a - 38 = -4*q, l*a + 5*q = 5*a - 2. Calculate the remainder when s is divided by a.
9
Let t(i) = i**3 + 12*i**2 + 21*i + 13. Let j be t(-10). Calculate the remainder when 16 is divided by (-96)/28 + j/7 - -13.
6
What is the remainder when 291 is divided by (-15)/30 + 119/2?
55
Let z(m) = 41*m - 4. Calculate the remainder when z(7) is divided by (-16)/20*(-130)/4 + 0.
23
Let m(f) = -2*f**3 + 65 - 14 + 3*f**3 - f - f**2. Suppose -6*y + 25 = 25. Calculate the remainder when m(y) is divided by 13.
12
Suppose -3*f + 2*f = -308. Suppose 5*z - f = -4*a, -a + 0*a + 77 = 5*z. Calculate the remainder when a is divided by (60/(-14))/((-45)/210).
17
Suppose 2*o = -22*b + 21*b - 1, -3*b = 5*o. Calculate the remainder when 106 is divided by b.
1
Let o(p) = -p**3 - 5*p**2 - 5*p - 8. Let d = -217 - -232. Calculate the remainder when o(-6) is divided by d.
13
Suppose -3*a - 9 = -4*a. Calculate the remainder when 22 is divided by a.
4
Suppose -2*f + 36 = f. Calculate the remainder when 15/(-12) + 200/(-192)*-30 is divided by f.
6
Suppose -19*n + 7020 = 20*n. What is the remainder when n is divided by 14?
12
What is the remainder when (-29)/((-87)/78) - (1 - 0) is divided by 5?
0
Let t be (-5)/(-10)*-4 - -198. Suppose 25*x = 21*x + t. Calculate the remainder when x is divided by 17.
15
Let j(t) = 3*t + 17. Let q be j(-4). Suppose q*l = -10, l = -2*z - 3*l + 18. What is the remainder when z is divided by 8?
5
Suppose -m = 3*n - 11 - 0, 3*n - m = 19. Calculate the remainder when 75 is divided by n.
0
Suppose v - 5*u = 3, -u - 9 = -3*v + u. Let t(d) = 3*d - v*d**2 + d**3 - d - 3*d + 3. What is the remainder when t(4) is divided by 8?
7
Let w(d) be the second derivative of d**4/12 - 3*d**3/2 + 13*d. Calculate the remainder when 142 is divided by w(12).
34
Suppose 2*c = a - 289, 2*a - 4*c = -2*a + 1164. What is the remainder when a is divided by 13?
7
Let z(v) = -3*v**3 + 9*v**2 + 3*v + 1. Let t(n) = -n**3 - n**2 + n + 1. Let i(h) = -4*t(h) + z(h). Calculate the remainder when 22 is divided by i(-13).
2
Suppose 4302 + 315 = 57*c. Calculate the remainder when c is divided by 41.
40
What is the remainder when 765/8 - -2 - (-345)/920 is divided by 13?
7
Suppose -57*j = -61*j + 12. Suppose -j*u - 4*l = -53, -66 = -2*u + 3*l + 2*l. Calculate the remainder when 113 is divided by u.
21
Let o(a) = -a**2 + 10*a - 1. Suppose -3*c + 2*z = -19, c - 3*z - 11 + 0 = 0. Let n be o(c). Calculate the remainder when 1/(-6) + 460/n is divided by 11.
8
Let h(l) = 6*l**2 - 7*l - 3. Calculate the remainder when 299 is divided by h(3).
29
Suppose 0*n + 2*n = 0. Let x(m) = -m**3 + m**2. Let o be x(n). Suppose 5 = z - o. What is the remainder when 13 is divided by z?
3
Suppose 0 = -5*q, 120*l - 5*q - 93 = 117*l. Calculate the remainder when l is divided by 4.
3
Calculate the remainder when 208 is divided by -3*(-1)/(-7) + 31482/742.
40
What is the remainder when 146/4 + (-7)/(-14)*-3 is divided by (6/(-5))/(4/(-30))?
8
Let x(u) = 6*u + 4. Let i be x(-4). Let n = i + 40. Calculate the remainder when n is divided by (-65)/(-6) + 4/24.
9
Let k = 15 - 15. Suppose 7*y + 66 - 199 = k. Calculate the remainder when 53 is divided by y.
15
Let b be (30/(-8))/(3/(-8)). Let r(v) = 10*v + 15 - 2*v**2 - 3 + 10*v + 1. Calculate the remainder when r(b) is divided by 7.
6
Let g be 0 - 10 - (0 - 3). Let z(o) = -7*o**3 - o**2. What is the remainder when g/(7/(-2)) - -6 is divided by z(-1)?
2
Suppose 2*o - 8 = 5*x - 7*x, 18 = 2*o - 3*x. What is the remainder when 40 is divided by o?
4
Suppose 0 = 5*r + 3*v - 345, 2*r = 2*v - 0*v + 122. Calculate the remainder when r is divided by 21.
3
Suppose -3*b + 136 = 4*c, 4*c + c = -3*b + 170. Calculate the remainder when c is divided by 34/4 - 10/(-20).
7
Suppose -122*j + 13740 = -92*j. What is the remainder when j is divided by 17?
16
Let x = 1417 + -1239. Calculate the remainder when x is divided by 27.
16
Suppose -2*y + 36 = 2*g, -22*g + 17*g - 2*y = -105. Calculate the remainder when 250 is divided by g.
20
Let o(t) = 7*t + 3. Let b be o(-4). Let s = -15 - b. What is the remainder when 0 + 1 - (-14 - 2) is divided by s?
7
Let r be (-15)/(-6) - 2/4. Suppose r*h = -5*x + 30, 11*x = 7*x - 2*h + 24. Calculate the remainder when 8 is divided by x.
2
Let w = -8 - -10. Suppose -5*b - 88 = 3*q - 311, w*q + 196 = 4*b. Suppose 0 = -2*y + b + 91. Calculate the remainder when y is divided by 35.
34
Let x(t) be the third derivative of t**5/60 - 19*t**4/24 + 67*t**3/6 + 2*t**2 + 2. Calculate the remainder when 38 is divided by x(15).
3
Suppose -26*t = -23*t - 33. Calculate the remainder when 76/2 + (2 - 0) is divided by t.
7
Suppose -w + 9*v + 17 = 11*v, v - 40 = -2*w. What is the remainder when 53 is divided by w?
11
Let k(v) = 13*v**2 + 9*v + 4. Let b be k(-5). Suppose 74 = d + 4*c, c + 3*c = -4*d + b. What is the remainder when d is divided by 12?
10
Suppose -7*f = 4*w - 3*f - 88, 0 = -5*f + 20. Let l = 2 + w. Suppose 0 = 422*s - 429*s + 77. Calculate the remainder when l is divided by s.
9
What is the remainder when (4/10)/((-2)/(-745)) is divided by 52?
45
Let z(p) = 2*p**3 - 10*p**2 - 17*p - 1. What is the remainder when z(9) is divided by 31?
29
Let t = 252 + -239. Calculate the remainder when 34 is divided by t.
8
Let x = -89 - -110. Calculate the remainder when 333 is divided by x.
18
Suppose 2*k - 106 = -4*y + 88, 0 = -k - 5. Suppose a - 4*a = -y. Calculate the remainder when 33 is divided by a.
16
Let q = -43 + 63. Let g(p) = 1 + 10 + p + p**2 - 3. Calculate the remainder when g(-6) is divided by q.
18
Let j = -8 + 11. Let t(z) = -z + 0 - 2 + 5*z - 2*z. Calculate the remainder when j is divided by t(2).
1
Let k(n) = -n**3 + 8*n**2 + 15*n - 7. Calculate the remainder when k(9) is divided by 22.
3
Suppose -3*a + 76 + 86 = 3*c, -4*c = 2*a - 114. Calculate the remainder when 124 is divided by a.
22
Suppose 0 = -180*q + 184*q - 160. Calculate the remainder when 116 is divided by q.
36
Let z = 1086 + -789. What is the remainder when z is divided by 23?
21
Suppose -5*x = 5*b - 145, 2*x - 8*b = -6*b + 30. Suppose 0 = -2*s + 5*s - 27. Let p = s - 3. What is the remainder when x is divided by p?
4
Suppose -4 = 3*s - 7, 0 = -z - 2*s + 5. Suppose 0*t = z*t - 219. What is the remainder when t is divided by 19?
16
Suppose 2*u - 3*q - 43 = 0, -5*u + 16*q - 15*q + 101 = 0. Calculate the remainder when 95 is divided by u.
15
Let q(b) = -2*b + 126. What is the remainder when 117 is divided by q(16)?
23
Suppose -18*l + 883 = -17. What is the remainder when 248/3*(11 + -8) is divided by l?
48
Let b(d) = 66*d - 1. Let n(o) = 11*o. Let w(q) = -6*b(q) + 34*n(q). What is the remainder when w(-1) is divided by 11?
6
Suppose -10*d = 183 - 393. What is the remainder when 145 is divided by d?
19
Let k(h) = -10*h + 147. What is the remainder when 179 is divided by k(10)?
38
Suppose 57*n = -124 + 181. Suppose 56 = -4*h + 16. Calculate the remainder when (-6)/(-10) + (-4)/h is divided by n.
0
Suppose -29*o + 824 = -423. Calculate the remainder when o is divided by 28.
15
Let p = -443 - -597. Calculate the remainder when p is divided by 5.
4
Calculate the remainder when 25 + (-4 - (-12)/2) is divided by 1/3 - 2/(18/(-51)).
3
Suppose q - 32 = -16. Let d = 1 - -4. What is 