1. Suppose 5*v + 29 = 284. What is the remainder when v is divided by q(14)?
7
Suppose -139*t + 157*t - 12636 = 0. Calculate the remainder when t is divided by 182.
156
Let p(n) = -34*n + 358. Let r = 9 + 34. Calculate the remainder when p(8) is divided by r.
0
Suppose -3*w = 5*o - 468, 7*o + 64 = w - 118. What is the remainder when w is divided by 77?
7
Suppose 10*m + 4*t = 5*m + 5, 2*m + 3*t + 5 = 0. Suppose 5*s = -1 + 6, 0 = -m*k + 4*s + 146. What is the remainder when 94 is divided by k?
4
Suppose 15*i + 108 = 258. Calculate the remainder when 186 is divided by i.
6
Let l be (-5)/(5/4) + 9. Suppose 52 - 282 = -l*o. Calculate the remainder when 135 is divided by o.
43
Let q = 4174 - 3907. What is the remainder when q is divided by 11?
3
Suppose -20*r = -15*r - 60. Let c(z) = 2*z**2 - 14*z + 41. What is the remainder when c(5) is divided by r?
9
Suppose 11*i - 3662 = 35739 + 16512. What is the remainder when i is divided by 31?
30
Let u be 2/(2 + -1) - (3 + -1). Suppose u = 2*f - 4. Suppose f*w - 184 = -3*s, -4*w + 316 = 5*s - 52. What is the remainder when w is divided by 24?
20
Suppose 1350*n - 84 = 1346*n. What is the remainder when 218 is divided by n?
8
Let z(q) = -q**3 + 2*q**2 - 11*q + 210. What is the remainder when 421 is divided by z(0)?
1
Calculate the remainder when 1196 is divided by ((-12)/6)/((-3)/9).
2
Let o = 147 + -142. Suppose 0 = 3*p + 1 - 7, 4*p = o*l - 162. Calculate the remainder when 131 is divided by l.
29
Suppose -44904 = 174*q + 14859 - 296925. Calculate the remainder when q is divided by 371.
250
Suppose -4*h - 496 + 2240 = 0. Calculate the remainder when h is divided by 129.
49
Suppose 5*r = -d + 515, 0*r + 2*d + 309 = 3*r. Let k = r - 57. Suppose -3*x + 44 = -k. Calculate the remainder when 58 is divided by x.
28
Suppose m + 0 = -2, -3*s = 4*m - 28. Calculate the remainder when s*((-220)/(-12) - 7) is divided by 49.
38
Let h(k) = 30016*k**3 + 14*k**2 - 8*k + 6. What is the remainder when h(1) is divided by 13?
11
Let c be ((-623)/(-7) + -5)*(-3)/(-4). What is the remainder when (-92 + -1)*(-84)/c is divided by 3?
1
Suppose j + 5 = 0, 2*z - 3*j - 2 = -j. Suppose 0 = k - 3*k + 96. What is the remainder when k is divided by (-2)/(z + (-150)/(-39))?
9
Let l = 10289 + -5462. What is the remainder when l is divided by 15?
12
Let q be ((-24)/20)/(15/(-50)). Calculate the remainder when 129 is divided by q - (-7 + 11) - (-13)/1.
12
Let t(m) = 52*m**2 - m - 2. Suppose -200 = 5*r - 4*v - v, 4*v + 60 = -r. What is the remainder when t(2) is divided by r/(-66) + (-1)/(6/(-308))?
48
Suppose 0*t - t = -3*h + 620, 0 = -5*h + 4*t + 1024. What is the remainder when h is divided by ((-4425)/2655)/(5/(-57))?
18
Let b = -61 - -63. Suppose g + 8 = 2*h, 0*h + 4*g = -4*h + 16. Calculate the remainder when b/(-6) - -1 - (-4752)/162 is divided by h.
2
Let s(b) = -5*b + 3. Let z(j) = -j**2 - 82*j + 538. What is the remainder when s(-5) is divided by z(-88)?
8
Suppose 389*j = 382*j + 9457. What is the remainder when j is divided by 68?
59
Let h = -2439 - -2590. What is the remainder when h is divided by 45?
16
Let s = 1803 + -1793. What is the remainder when 1117 is divided by s?
7
Let q(i) be the first derivative of -15*i**2/2 + 149*i - 2. Calculate the remainder when q(0) is divided by 38.
35
Suppose 4*s - z = 157, 167 = 4*s - 11*z + 8*z. Calculate the remainder when 872 is divided by s.
36
Let g(p) = 17*p + 5*p - 3*p - 5*p + 227 + 6*p. What is the remainder when 26 is divided by g(-11)?
5
Let a(d) = -3*d**3 + 246*d**2 - 3*d + 347. Calculate the remainder when 1303 is divided by a(82).
91
Let l(p) = 2*p + 58. Let q(c) = -c**3 - c**2 + 4*c + 177. What is the remainder when q(0) is divided by l(-24)?
7
Suppose 2*i + 18 + 5 = p, -3*p = -2*i - 13. Let c = i + 17. Suppose 4*u - c - 325 = 0. What is the remainder when u is divided by 28?
26
Calculate the remainder when 643 is divided by (972/(-90) - -11)*180.
31
Suppose 4*y - 2*b = -2, -4*b + 7*b - 3 = 0. Suppose -2*h + 4*k + 30 = y, -h = 3*k - 8 - 12. What is the remainder when 45 is divided by h?
11
Suppose -5*f + 166 = 4*s, -4*s - 2 = 3*f - 108. Suppose -4*i = 4*v - 844, -5*i = -10*i + 25. Calculate the remainder when v is divided by f.
26
Let f be -3 + (6/21 - 69/21). Calculate the remainder when 679 is divided by (17/(-2))/(f/48).
67
Suppose 1204 = 3*i + 349. Suppose -7*j + i = 89. Suppose 8*g + 430 - 2214 = 0. What is the remainder when g is divided by j?
27
Let w(u) = -u**2 + 11*u + 6. Let d be w(-7). Calculate the remainder when 1/(-6)*-1687 + 20/d is divided by 15.
11
Suppose 2*w - 2 = 2*z, -5*z + 0 + 40 = 4*w. Suppose 3*n = 3, 3 - 7 = x - w*n. Calculate the remainder when -9*-1*(25 + x)/2 is divided by 10.
7
Let n(x) = x**2 + 3*x - 7. Let o be n(-5). Suppose -2*a + 10 = o*a. Calculate the remainder when -3 + 12/(-36) + (-147)/(-9) is divided by a.
1
Suppose -3*x = 14 - 2. Let l be (392/42)/28*(-1 + -2). Calculate the remainder when 37 is divided by 7 + x + (4 - l).
5
Suppose -6 = -2*m + 2. Suppose 3*l + v = 134, 0*l + 2*l + m*v - 96 = 0. Suppose 8416 = 24*z + 8*z. Calculate the remainder when z is divided by l.
43
Suppose 4*p + 20 - 68 = 4*f, 3*p - 36 = -2*f. Calculate the remainder when 341 is divided by p.
5
Let i(y) = 22*y + 3. Let a(l) = -4*l + 15. Let g(o) = -o**2 + 2*o + 3. Let x be g(0). Let h be a(x). What is the remainder when i(h) is divided by 5?
4
Let q = 42 - 22. Let b = q + -17. Suppose 351 = 3*w + 3*k, -3*w + b*k = -2*w - 121. What is the remainder when w is divided by 40?
38
Suppose 0 = 2*g + 144 + 6. Let t = -24 - g. Let b = t + 7. Calculate the remainder when b is divided by 20.
18
Let q = 182 + -167. Suppose 0 = 3*x + q*x - 360. Calculate the remainder when (-1)/1 + (-73)/(-1) is divided by x.
12
Let x(y) = -7*y - 31. Let w(h) = 18*h - 1. Calculate the remainder when w(6) is divided by x(-7).
17
Suppose 0 = 5*c + h - 167, 4*c + 5*h - 136 = 3*h. Suppose -4*i = -3*p + 30, -p - 2*p = -5*i - c. What is the remainder when 118 is divided by p?
4
Calculate the remainder when 24/(-10)*((-162811)/462 - (-2)/(-21)) is divided by 119.
13
Let w be 4*(-1)/2*(-14)/(-28). What is the remainder when w/(34/35 + -1) is divided by 16?
3
Suppose -3*y + 5*y + 4*r + 2 = 0, r + 2 = 0. Suppose 104 = 5*s + 7*z - 11*z, -y*z = -4*s + 83. Calculate the remainder when 219 is divided by s.
19
Suppose 8*v + 4 + 12 = 0. Calculate the remainder when (324/8)/((-3)/v + -1) is divided by 14.
11
Suppose 0*l + 4*l + 12 = 0, -4*d + 36 = 4*l. Calculate the remainder when 130 is divided by (66/2)/(d + -11).
31
Suppose 4*r = 12, 12*r - 38 = -2*m + 14*r. Calculate the remainder when 221 is divided by m.
1
Let b(p) = p**3 - 228*p - 235*p + 446*p + 25 - 6*p**2. What is the remainder when 25 is divided by b(8)?
8
Suppose -64*r = 49*r - 405 - 273. What is the remainder when 521 is divided by r?
5
Let i(u) be the second derivative of u**3/6 + u**2 + 4*u + 14. What is the remainder when i(18) is divided by 15?
5
Suppose -386*j + 378*j + 256 = 0. What is the remainder when 2 - (228/(-10))/(54/360) is divided by j?
26
Let v(c) = 2*c + 4. Let m be v(-4). What is the remainder when m*84/32*-2 is divided by 12?
9
Let n(j) = -34*j**3 + j + 1. Suppose 6*o + o = -12*o + 1254. What is the remainder when o is divided by n(-1)?
32
Let s(o) be the third derivative of o**6/120 + 2*o**5/5 + 49*o**4/24 - 17*o**3/6 + 190*o**2. What is the remainder when s(-21) is divided by 26?
17
Let l(u) = u**3 - 9*u**2 + u - 9. Let g be l(9). Suppose g = d - 7*d + 72. Calculate the remainder when 297 is divided by d.
9
Let b = -20 - -18. Calculate the remainder when 1*(-1841)/(-63) + 2/(-9) is divided by -10*b/((-10)/(-5)).
9
Suppose 2*d - 5*w - 2237 = 0, 131*d - 132*d + 2*w + 1122 = 0. What is the remainder when d is divided by 282?
8
Suppose 3378 = 9*f + 2622. What is the remainder when 414 is divided by f?
78
Let g = 40 + -27. Suppose -2*p + g = -89. Suppose -2*m = m - p. What is the remainder when m is divided by 11?
6
Calculate the remainder when 105 is divided by -44*(-2 - 0) - 62/(19 - 50).
15
Let p(d) = d**2 + 179*d - 12438. Calculate the remainder when p(60) is divided by 102.
66
Let v(p) = p**3 + 14*p**2 + 84*p + 363. What is the remainder when v(-5) is divided by 13?
12
Suppose -257*b = 122*b - 39416. What is the remainder wh