0*h + 3*q - 143, -227 = -3*h - 2*q. Calculate the remainder when 377 is divided by h.
61
Let v(a) = -203*a - 1013. What is the remainder when 2664 is divided by v(-6)?
204
Let d(i) = i**3 + 12*i**2 + 3*i - 26. Suppose -296*h = -293*h + 33. What is the remainder when d(h) is divided by 27?
8
Let a(r) be the first derivative of 2*r**2 - 6*r + 30. Let p be a(2). Calculate the remainder when 26 is divided by 10*((7 - 6) + (-1)/p).
1
Suppose -y + 19 = -0. Let f(s) = 20 - y + 5*s - 3*s**2 - 16*s + 4*s**2. What is the remainder when 51 is divided by f(12)?
12
Let d = 24064 - 24003. What is the remainder when 1087 is divided by d?
50
Let k(r) = r**3 - 11*r**2 - 13*r - 31. Let n be k(9). Calculate the remainder when 131 is divided by (-2)/(n/75 + 4).
11
What is the remainder when 1020 is divided by 13 - (-11 + 35) - 1191/(-3)?
248
Suppose 55*z = -35*z + 23*z + 55208. What is the remainder when z is divided by 55?
54
Let p be -5*15/30*(-4)/5. Calculate the remainder when -61*(3 + -6 + p) is divided by 23.
15
Calculate the remainder when 33*3/(3/2) is divided by (-180)/48 - (-310)/8.
31
Let y(g) = g**3 - 32*g**2 + 47*g - 185. What is the remainder when y(40) is divided by 151?
150
Let w(u) = u**3 - 5*u**2 - u + 10. Let s be w(5). Calculate the remainder when (24 + -3)*(s + 0) is divided by (-107)/(-4) - 2/(-8).
24
Suppose 4*b + 363 - 15 = 0. Let j be (-6)/(-16) - b/24. Suppose -2*v - 8 = -j*v + 4*q, 32 = v + 5*q. Calculate the remainder when 47 is divided by v.
11
Suppose 4*f - 5*g - 5115 = 0, -4*f + 51*g = 54*g - 5123. What is the remainder when f is divided by 12?
8
Suppose -139118 = -4569*i - 78636 + 158830. Let l(g) = -527*g - 1. Calculate the remainder when l(-1) is divided by i.
46
Suppose -4*z = -2*b - 2290, 5*b + 588 - 3999 = -6*z. Calculate the remainder when z is divided by 111.
16
Suppose 2*h + 42 = 5*h. Suppose -3*m - 4*u + 20 = 0, -u = -0*m - 4*m + h. Suppose -265*d = -4382 - 2243. Calculate the remainder when d is divided by m.
1
What is the remainder when 15490/2 - 216/(17 - -7) is divided by 146?
144
Let n = -19469 - -19476. Calculate the remainder when 10086 is divided by n.
6
Suppose 64 = u + 2*m, 12*m = 3*u + 7*m - 148. Calculate the remainder when 3807 is divided by u.
55
Let i(u) = 73*u + 23. Let f be i(5). Suppose -4*k + 2*j + 384 = 5*j, 4*k - f = -2*j. Calculate the remainder when k is divided by 34.
31
Let p(r) = -r**2 + 7*r. Let z be p(3). Let j(w) = 3*w + 12. Let d(a) = a**2 - 58*a - 906. What is the remainder when j(z) is divided by d(-13)?
14
Let t = 1806 - 1272. Calculate the remainder when t is divided by 45.
39
Let x(u) = 85*u**2 + 2*u - 1. Let m(v) = 15*v**3 - 1907*v**2 + 283*v - 2824. Calculate the remainder when m(127) is divided by x(1).
85
Let l(j) = -j**3 + 18*j**2 - 18*j - 208. What is the remainder when 85 is divided by l(16)?
5
Suppose 4*p = -4*b + 172, -b + 1116 = 5*p + 909. Calculate the remainder when 1289 is divided by p.
18
Let k(t) = -3*t + 9. Let u(d) = -2*d**2 + 9*d + 7. Let p = 17 - 10. Let b be u(p). Calculate the remainder when k(b) is divided by 27.
12
Let o(b) = -b**3 - 12*b**2 - 8*b - 2. Let i be 3*5/(40/(-32)). What is the remainder when o(i) is divided by 16?
14
Let h(y) be the first derivative of 2*y**3/3 - 3*y**2 + 58*y + 43. Calculate the remainder when h(5) is divided by 20.
18
Let q = 254 - -454. Let j = 538 + -531. Suppose j*i - q = 244. Calculate the remainder when i is divided by 46.
44
Let n(v) = -v**3 + 37*v**2 + 131*v - 4835. Calculate the remainder when 424/6 + (-2)/3 is divided by n(37).
10
Calculate the remainder when ((-678)/(-5))/((-42)/(-105)) is divided by 9.
6
Let i(b) = 6*b**2 - 14*b + 2. Suppose 0*p + 64 = p. Let k = 92 - p. What is the remainder when i(-2) is divided by k?
26
Let o = 47 + -110. Let h = o - -76. Suppose h = -2*q + 105. What is the remainder when 365 is divided by q?
43
Let b(i) = 26*i**2 - 2*i + 2. Let w be b(2). Let m = -81 + w. Calculate the remainder when 101 is divided by m.
17
Suppose 11*z + z = 3*z. Suppose 6*b + 8 - 44 = z. Let c(y) = 8*y**2 - y - 1. What is the remainder when c(-1) is divided by b?
2
Let o = 1814 - 1804. What is the remainder when 1367 is divided by o?
7
Calculate the remainder when -8 + (-37 + 11)*-35 is divided by 128.
6
Suppose 4*f - 12 - 44 = 0. Let q(x) = x**2 - 13*x - 1. Let d(r) = -r**3 - 10*r**2 + 11*r + 9. What is the remainder when q(f) is divided by d(-11)?
4
Let b(i) = -i**3 + 8*i**2 + 8*i + 9. Let x be b(9). Suppose j + 95 = -x*j. What is the remainder when 42 is divided by j/(-15) + -6 - (-28)/6?
2
Let b be ((-2)/(-4))/(-1*(-3)/(-42)). Let c(s) = s**3 + 12*s**2 + 11*s - 12. Let q be c(b). Let p = 241 - q. What is the remainder when p is divided by 45?
40
Let p(i) = -37*i - 4*i**3 + 55*i + 5*i**3 + 34 - 18*i**2. Let o be p(16). Calculate the remainder when ((-12)/10)/(((-6)/o)/(-3)) is divided by 29.
27
What is the remainder when 5668 is divided by -54*(-14 - -7)/7?
52
Let r(m) = -m**3 - 5*m**2 - 8*m - 102. Calculate the remainder when r(-13) is divided by 59.
56
Suppose 5*x - 3*h - 9 = 0, 3*x + 3 - 6 = 3*h. Suppose b - 4*a = -a + 53, 152 = x*b - 2*a. Calculate the remainder when 499 is divided by b.
49
Let t(g) be the first derivative of -g**4/4 + 8*g**3/3 + 4*g**2 + 12*g + 27. Let s be t(9). Calculate the remainder when 23 is divided by -3 + 3/(s/8).
3
Let i = 45 + 43. Let l = -82 + i. Suppose -123 = -d - 2*d. What is the remainder when d is divided by l?
5
Suppose 5*j - 67 = -4*a + 2*a, a - 36 = -3*j. Let p = 78 - 43. What is the remainder when 1449/p - (2/5 - 0) is divided by a?
20
Suppose 0 = -4*r + 47 + 441. Let p = r - 68. What is the remainder when (2 - 1)/(-4 - (-218)/p) is divided by 4?
3
Let r = -729 - -896. Calculate the remainder when 1831 is divided by r.
161
Suppose 6 - 18 = -4*u. Suppose 0 = -o - 3*r - 0*r + u, -3*r + 21 = 4*o. Suppose 5*t - 4*a = -0*t + 61, -12 = 3*a. What is the remainder when t is divided by o?
3
Let g(r) = -456*r - 429. Calculate the remainder when 518 is divided by g(-1).
5
Let j(t) = t**3 + 19*t**2 - 30*t - 983. Calculate the remainder when 6500 is divided by j(-17).
95
Let d(i) = 6*i**2 - 22*i + 39. Let g = -37 + 47. Calculate the remainder when d(4) is divided by g.
7
Let p be (6/12)/(4/32) - 2. Suppose 0 = 2*t - 10, p*t + 60 = 4*g - 90. Calculate the remainder when 437 is divided by g.
37
Calculate the remainder when 491 is divided by 34*((-203)/(-58) - 3/2).
15
Let j = 46 - 76. Let b = j + 36. Suppose 14 = 5*z - b, -4*z = 2*k - 122. What is the remainder when k is divided by 14?
11
Suppose 3*s = 15*o - 10*o - 1685, -3*o + 1005 = -3*s. What is the remainder when 1380 is divided by o?
20
Let f(l) = 3 + 0*l - 5*l**2 + 6*l**2 - 2*l**2 - 7*l. Suppose a = -4*z + 31, 26 = 2*a + 2*z - 36. Calculate the remainder when a is divided by f(-6).
4
Suppose 39 = 3*n - 24. Let b(u) = u**3 - 18*u**2 - 27*u - 142. What is the remainder when b(20) is divided by n?
13
Suppose 211*f - 222*f + 88 = 0. Let r(g) = -g**3 + 4*g**2 - 3*g + 1. Let u be r(3). What is the remainder when 78/u + 0 + (f - 6) is divided by 27?
26
What is the remainder when ((-116)/(-87))/(-2)*(-1215)/2 is divided by 219?
186
Let h(u) = -u**3 - 13*u**2 - 23*u + 12. Let s be h(-10). Let z = 48 + s. Let x = 19 + z. What is the remainder when 42 is divided by x?
6
Let x = 51 - -13. Calculate the remainder when 257 + 2*-9*((-117)/27)/(-13) is divided by x.
59
Let d be (-191 - 0)/(7 - 8). Let v = 232 - d. What is the remainder when 116 is divided by v?
34
Suppose 21*n - 1369 = 5540. Let c = 337 - n. Suppose -7*k + 82 = -3*k + 2*o, -5*k + 5*o + 110 = 0. What is the remainder when k is divided by c?
5
Suppose -47 = -z - 2*b, 2*z + 2*b - 62 = 28. Let x = -43 + z. Suppose x = 6*s - 9*s + 207. Calculate the remainder when s is divided by 18.
15
Suppose 3*c - 554 = 5*l - 106, 5*c - 3*l - 720 = 0. What is the remainder when 4227 is divided by c?
138
Let l(w) = w**3 - 9*w**2 - 13*w - 4. Let r be l(9). Let z = 264 + r. What is the remainder when z is divided by 48?
47
Suppose -6424*n + 6418*n + 256 = -92. Calculate the remainder when 93 is divided by n.
35
Let d = 11526 + -11479. What is the remainder when 67 is divided by d?
20
Suppose -2*b - 100 = -4*c, c - 4*b = 5*c - 124. Let u = 15 - 4. Suppose -265 = 6*y - u*y. Calculate the remainder wh