. Let p = s + l. Calculate the remainder when p is divided by 14.
7
Let k = 13262 - 11422. What is the remainder when k is divided by 905?
30
Suppose -8*d = -11*d + 12. Suppose -96 = -d*s - u - 8, -3*u + 96 = 4*s. Suppose 9*k = 3*k + 228. Calculate the remainder when k is divided by s.
17
Let r(i) be the second derivative of -3*i**5/10 + i**4/6 + i**3/6 + 6*i. Let d(l) = l**2 + 23*l + 94. What is the remainder when r(-1) is divided by d(-18)?
3
Let f be 3/(-8) + 6/16. Suppose f = 4*g - 11 + 7. Let x(o) = 31*o - 8. What is the remainder when 43 is divided by x(g)?
20
Let w = -3819 - -3903. Calculate the remainder when w is divided by 61.
23
Suppose 2*u - 14 + 8 = 0. Suppose -4*t - u*v + 70 = 0, 2*t - 48 = 4*v + v. Calculate the remainder when 2/2*(35 - 1) is divided by t.
15
Let a = 108 - 37. Let x(y) = y**3 - 3*y**2. Let z be x(3). Suppose -32*i + 78*i - 1104 = z. What is the remainder when a is divided by i?
23
Suppose -4*h + 3*o + 3519 = 0, -2*h - 105 = -2*o - 1867. Calculate the remainder when h is divided by 34.
26
Suppose 0 = -t - t - 5*i - 20, -5*t = -3*i - 12. Suppose t = w - q, -2*q = 2*w - 3*q. What is the remainder when (-3)/((-6)/40) + w is divided by 14?
6
Let f = 17 - -1. Let g be ((-12)/(-10))/(f/45). Suppose -g*s - 18 + 6 = 0, 5*p = -s + 531. Calculate the remainder when p is divided by 18.
17
Let k = 25 + 0. Suppose 0 = -k*h + 967 + 58. What is the remainder when 200 is divided by h?
36
Let r(i) be the first derivative of -5*i**2/2 + 67*i + 39. What is the remainder when 203 is divided by r(11)?
11
What is the remainder when 4/30 - ((-1525920)/6000)/(6/10) is divided by 16?
8
Let v = -11227 + 13080. Calculate the remainder when v is divided by 116.
113
Let w = -519 + 537. Let b = -71 - -49. Let o = b + 27. Calculate the remainder when w is divided by o.
3
Suppose 0 = 3*z - 3*x - 24957, -9*z + 13*z - 33272 = 2*x. What is the remainder when z is divided by 141?
139
Suppose 337 = -4*u - 139. Let q = 148 + u. Suppose 28*t + 26 = q*t. Calculate the remainder when t is divided by 7.
5
Let w(x) = 2*x**2 - 42*x + 124. What is the remainder when w(0) is divided by (-152)/(-12)*(1 - -2)?
10
Suppose u = 4*f + f + 14, 0 = -3*f - 6. Suppose 0 = -2*r - u*x + 34 + 32, -3*r + 114 = 3*x. What is the remainder when r is divided by 9?
7
Let u(z) = -z**3 + 99*z**2 + 293*z + 1512. What is the remainder when 291 is divided by u(102)?
105
Suppose 21*p = 20*p + 79. What is the remainder when p/(((-10)/70)/(8/(-14))) is divided by 64?
60
Let j = -16 - -14. Let p be 0 - 1 - (-39 + j + 2). Suppose -w + 1 + 3 = 5*o, 4*w = 2*o + p. What is the remainder when 15 is divided by w?
6
Let z(y) = -9*y**2 - 5*y + 9. Let a be z(2). Let u(v) = 2*v + 110. What is the remainder when u(a) is divided by 33?
3
Let o be (96/(-15))/((-8)/(-40)). Let l = -30 - o. Suppose -3*q - 24 = -2*n, 0*n - 3*q + 12 = l*n. What is the remainder when n is divided by 2?
1
Let o(y) = 8*y - 5 - 14*y + 20 + 5*y. Let q be o(10). Suppose -q*x = -15 - 15. Calculate the remainder when 15 is divided by x.
3
Let b(k) = k**3 - 22*k**2 - 44*k - 54. Let x be b(24). What is the remainder when 151 is divided by 22/(-4)*x/(-21)?
8
Let k = 4638 + -4607. What is the remainder when 155 is divided by k?
0
Let r = 245 - 182. What is the remainder when 1446 is divided by r?
60
Suppose -66*g + 54989 = 11454 - 37183. What is the remainder when 4908 is divided by g?
16
Calculate the remainder when 74 is divided by (4*-1)/((-684)/4959).
16
Suppose 3*q + 4*z - 392 = 0, 5*z + 29 + 566 = 5*q. Calculate the remainder when 229 is divided by q.
105
Let x(f) = f**2 + 45*f + 490. What is the remainder when x(-35) is divided by 114?
26
Suppose -2*o = -4*m + 174, -4*m + 32 = 2*o + 174. Let k = o - -116. What is the remainder when 367 is divided by k?
34
Suppose -4*p + g + 1535 = 0, 0 = 23*g - 22*g - 1. Calculate the remainder when p is divided by 37.
14
Let l(m) = m**3 + 4*m**2 - 5*m + 3. Suppose 0 = -10*r - 13 - 27. Suppose -25*h + 785 = -1490. What is the remainder when h is divided by l(r)?
22
Suppose 0 = -5*m + 3*m + 28. Suppose -4*b - 3*v + 45 = 0, 3*v - 58 = -2*b - 37. What is the remainder when m is divided by -7 + 2/((b + -6)/36)?
4
Suppose -11*t + 1043 + 13 = 0. Suppose 3*n - 678 = -5*o, -2*o + 4*n + 196 = -t. Calculate the remainder when o is divided by 14.
12
Let y = 197 - 197. Suppose y*k = 5*k - 1340. What is the remainder when k is divided by 17?
13
Suppose -w = -2*s - 158, 2*s - 10 = -4. What is the remainder when w is divided by 26?
8
Let y = 1248 + -1233. Calculate the remainder when (-236)/(-16) - (-3)/12 is divided by y.
0
Let q(m) = 2*m + 28. Let y be q(-12). Suppose -y*i - 5*f + 263 = 92, -183 = -5*i + 4*f. Calculate the remainder when (117 - 7) + (3 - 0) is divided by i.
35
Let w(t) = -2*t**2 - 101*t - 309. Calculate the remainder when 497 is divided by w(-47).
17
Let h = 39 - -104. Suppose 0 = 186*p - 198*p + 144. What is the remainder when h is divided by p?
11
Suppose 0 = 4*f - 32 + 16. Let l be f + (-2 - -3) - (4 + -2). Suppose 4*y - 2*g - 92 = -3*g, 0 = l*y + 3*g - 69. What is the remainder when 90 is divided by y?
21
Suppose 0 = -13*t + 157*t - 15330 - 20670. What is the remainder when t is divided by 15/1 + 0 + -1?
12
Let d(t) be the third derivative of t**5/60 - 5*t**4/12 + 11*t**3/6 + 2*t**2. Let s = -405 - -414. What is the remainder when 3 is divided by d(s)?
1
Suppose 48*k + 16*k - 3060 = -4*k. Let b(t) = -2*t**2 + 0*t + 7*t**3 + 0*t**2 + t. What is the remainder when k is divided by b(1)?
3
Let x(l) = 24 - l + 79 + l**2 - 19*l. What is the remainder when 49 is divided by x(6)?
11
Let v be -2 + 93/7 + (-10)/35. Suppose 18*l - 735 = v*l. Suppose -9*i - 6*i + l = 0. Calculate the remainder when 10 is divided by i.
3
Let n(c) = c**2 - 4*c - 3. Let w be n(-1). Suppose x - w*r + 58 = 5*x, 0 = -2*r + 10. Calculate the remainder when 58 is divided by ((-32)/x)/((-6)/45).
18
Let c = -6682 - -6798. Calculate the remainder when 312 is divided by c.
80
Let p = 2943 - 930. What is the remainder when p is divided by 101?
94
Let r = 299 + -145. Suppose r = -4*c + 6*c. Let i = 108 - c. Calculate the remainder when i is divided by 8.
7
Let f = 25 - 8. Suppose -4*v + 1931 = 387. Suppose -5*r + v = 4*o - 28, r = -5*o + 87. What is the remainder when r is divided by f?
14
Let r(x) = 160*x - 1395. What is the remainder when 6117 is divided by r(9)?
42
Let l(o) = -3*o**3 - 6*o**2 + 14*o + 3. Let h be l(-6). Let q = h - 276. What is the remainder when 139 is divided by q?
64
Let t be 2/3*8*(-9)/(-2). What is the remainder when (-1139)/(-4) + (246/t - 10) is divided by 72?
69
Let x = -236 - -239. Suppose 9*a + 892 = 5*k + 7*a, -x*a + 912 = 5*k. What is the remainder when k is divided by 14?
12
Suppose -8*u - 286 = -3*v - 7*u, -3*v = 5*u - 244. Calculate the remainder when 312 is divided by v.
33
Suppose 623*r = -137*r + 1346720. Calculate the remainder when 5342 is divided by r.
26
Let j be (470/(-4))/(-1) + (-3)/(-6). Let m = j - 60. Calculate the remainder when m + (4 + -3)*-2 is divided by 30.
26
Let z = 2450 + -1338. What is the remainder when z is divided by 62?
58
Let z = -7 + 10. Let u = 189 - 179. Let f = u - z. What is the remainder when 23 is divided by f?
2
Let b(y) = -y**2 - 10*y + 148. Let o(t) = 8*t - 147. Let d(f) = -2*b(f) - 3*o(f). Suppose 37 = 2*w - w. What is the remainder when d(0) is divided by w?
34
Suppose 12*j - 13*j - 40 = 0. Let f = -4 + 13. Calculate the remainder when f is divided by (-15)/j + -21*(-1)/8.
0
Let j(s) = -3*s**3 - 23*s**2 - 11*s + 81. What is the remainder when 285 is divided by j(-7)?
45
Let b = 8064 - 7331. Calculate the remainder when 752 is divided by b.
19
Let a be (-6)/(-1)*(-7)/(-14). Suppose n - 7 = 2*h + 7, n + a*h = 9. What is the remainder when 56 is divided by n?
8
Suppose -73 = s - 89. What is the remainder when 140 is divided by 31 - (-8)/(s/14)?
26
Let v(a) be the second derivative of 89*a**3/6 - 95*a**2 - 35*a + 1. Calculate the remainder when v(4) is divided by 58.
50
Suppose -z = 8*y - 3*y - 1143, -1167 = -5*y - 4*z. What is the remainder when 451 is divided by y?
224
Let t(s) be the first derivative of -6*s**2 - 17*s - 36. Suppose -2*x + 172 + 10 = 0. What is the remainder when x is divided by t(-4)?
29
Let v = 139 + 174. Let z = v + 140. What is