ose 0*m - r*q - h = -3*m, 5*m = 3*q + 83. Calculate the remainder when 57 is divided by m.
9
Let u(t) = -t**3 + 15*t**2 + 417*t - 2237. Let a = -1320 - -1904. Calculate the remainder when a is divided by u(5).
94
Let n(u) = -763*u - 7560. Calculate the remainder when 971 is divided by n(-10).
61
Let x(g) = 24*g - 820. What is the remainder when 76 is divided by x(35)?
16
Let y(a) be the third derivative of -a**5/30 + 5*a**4/24 - 5*a**3/6 - a**2. Let b be y(2). What is the remainder when 5 is divided by 0 - -2 - (2 + b)?
2
Suppose -118*a = -116*a + 2*g - 104, -2*g = -3*a + 161. Calculate the remainder when 221 is divided by a.
9
Let v be (-4748)/(-22) - (-18)/99. Suppose 7*o = 5*h + 5*o - v, -2*h = 2*o - 92. What is the remainder when 130 is divided by h?
42
Suppose -b + 51 = p, 2*p - b = 149 - 44. Let t(v) = -v + 12. Let w(h) = -2*h**2 - 12*h - 13. Let d be w(-2). Calculate the remainder when p is divided by t(d).
7
Suppose -3*b = 3*q - 12, 4*b - 17 = -2*q - 1. Suppose q = 2*h + 5*g - 93, 4*h - 2*g - 231 = -3*g. What is the remainder when h is divided by 6?
5
Let t = -55 + 8. Let q = 44 + t. What is the remainder when 23 is divided by q*(52/(-12) + 0)?
10
Suppose 5*i = 27*i - 14*i - 1160. Calculate the remainder when i is divided by 47.
4
Let m(v) = -61*v**2 + 281*v + 20. Calculate the remainder when m(4) is divided by 19.
16
Suppose -4*j - 3 + 15 = 0. Suppose -62 = j*p + 106. Let q = 83 + p. Calculate the remainder when 64 is divided by q.
10
Let j(s) = s**3 - 6*s**2 + 73*s - 1. Calculate the remainder when j(6) is divided by 140.
17
Let x be ((-8)/(112/21))/((-1)/2). Suppose -4*c - i + 27 = 0, x*c + 0*c - i = 15. Calculate the remainder when 22 is divided by c.
4
Suppose 1797*b = 362*b + 20090. Suppose 0 = 4*w + 3*n - 155, 5*n + 56 = -2*w + 3*w. What is the remainder when w is divided by b?
13
Let w = -373 + 768. Let k = w - 246. What is the remainder when k is divided by 77?
72
What is the remainder when 634 is divided by (213/12)/(12/144)?
208
Let y(c) = -1702*c - 3295. Calculate the remainder when 17983 is divided by y(-2).
107
Suppose -5*y + 132 = -108. Let u(d) = -d + 18. What is the remainder when y is divided by u(8)?
8
Suppose -2*p + 3*j + 489 = 0, -122 = -3*p + 3*j + 601. What is the remainder when 4912 is divided by p?
232
Suppose -y - 4*k + 10 = -6, -6 = -2*k. Suppose y = 9*g - 23. Let s(l) = 12*l**2 + 3*l + 3. Calculate the remainder when s(g) is divided by 31.
27
Suppose -4*q + 20 = 0, 5*n - 234*q - 115 = -232*q. Suppose -3*k = 14 - 56. What is the remainder when n is divided by k?
11
Let u(z) = -1. Let g be -7 + (4 - (0/(-1) + 3)). Let s(j) = 15*j**2 + 6*j + 2. Let p(c) = g*u(c) + s(c). Calculate the remainder when p(-2) is divided by 15.
11
Suppose 0 = 12*l - 60, -35*l + 39*l = -4*t + 4668. Calculate the remainder when t is divided by 574.
14
Let x(q) be the third derivative of q**5/30 - 7*q**4/8 - 8*q**3/3 + 4*q**2. What is the remainder when x(12) is divided by 11?
9
Suppose 0 = m - 5*t - 230, -t = m + 4*m - 994. Calculate the remainder when m is divided by 29.
26
Let x = -277 + 260. Let y = -14 - x. What is the remainder when 50 is divided by y?
2
Suppose 0 = -4*d + 230 + 634. Let g = d - 165. Calculate the remainder when g is divided by 6.
3
Suppose -4*v = -4*r - 180, -4*v - 5*r = -105 - 102. Suppose -4*p + v = -p. Let g = -13 + p. What is the remainder when 9 is divided by g?
0
Let c(i) = i**3 + 7*i**2 + i + 10. Let k = 10 + 2. Suppose 10*j - 14 = k*j. What is the remainder when 4 is divided by c(j)?
1
Suppose 5*r = 5*z + 270, 5*r - 188 - 42 = -3*z. What is the remainder when 5535 is divided by r?
47
Suppose 17*p - 24*p + 42 = 0. What is the remainder when 147 is divided by p?
3
Let l(h) = -34*h - 111. Let p be l(-17). Let f = p - 358. Calculate the remainder when f is divided by 57.
52
What is the remainder when 534 is divided by ((9 - 7) + 1)*(-8)/(-6)?
2
Let r = 144 + -137. Let i be 3 + r/((-42)/(-228)). Suppose -36*g - 170 = -i*g. Calculate the remainder when g is divided by 14.
6
Let u(z) = -107*z + 1001. What is the remainder when u(9) is divided by 9?
2
Let s = 7089 - 7029. What is the remainder when 516 is divided by s?
36
Let z(d) = 251*d**2 - 2*d - 3. Let w = -78 - -77. What is the remainder when z(w) is divided by 64?
58
Let o(f) = 2*f**3 - 3*f**2 + 4. What is the remainder when 185 - (-1555)/(-933)*(24/10)/4 is divided by o(3)?
29
Let h = 264 - 262. Suppose f - h*f - 2*d = -1, 2*f = d + 27. What is the remainder when 39 is divided by f?
6
Suppose -4*w + 338 - 2 = 0. Suppose 95 = 3*p - 76. Let m = w - p. Calculate the remainder when 80 is divided by m.
26
Let n(m) = 0*m + 617*m**3 - 583*m**3 + 2*m - 1 + m**2. Suppose -3*t + 2 = -t. What is the remainder when n(t) is divided by 20?
16
Let c = -463 + 468. Suppose a - 13 = -4*j, 0 = 5*j - c*a + 4 + 11. Calculate the remainder when 35 is divided by j.
1
Suppose 24*j - 14*j = 1460. Let h = -133 + j. Let p(i) = 9*i**3 + i**2 - 1. What is the remainder when h is divided by p(1)?
4
Suppose 3*x + a - 161 = 0, 0*a - 51 = -x + a. What is the remainder when 76 is divided by x?
23
Suppose 0 = -3*a + 2*a + 5. Suppose -2*k + 2*u + 3*u - 156 = 0, -390 = a*k - 3*u. What is the remainder when -2*(-3*1 + k/12) is divided by 4?
3
Let a(z) = -86*z - 1316. What is the remainder when a(-17) is divided by 144?
2
Let l(x) be the third derivative of x**6/60 + x**4/24 - 3*x**3 - 128*x**2. Calculate the remainder when 129 is divided by l(3).
12
Let k(c) = 13*c**3 + c - 1. Let y be -31 - ((-2)/(-11) + 620/220). Let p = y - -97. Calculate the remainder when p is divided by k(1).
11
Let i be 1*(-6)/3 + 4. Let o be (0/(-2))/(1 - i). Suppose -2*p + 73 - 27 = o. What is the remainder when 42 is divided by p?
19
Suppose 2*k + 3*q - 13 = 0, -4*k - 4*q = -17 - 19. Let n = 371 - k. Calculate the remainder when n is divided by 90.
87
Let n be 110 - (-3 + -1 - -1). Suppose -8*m + 625 = n. What is the remainder when m is divided by 35?
29
Let d(u) = 18*u**2 + 145*u + 20. What is the remainder when 1412 is divided by d(-8)?
8
Suppose 5*t - 18 = 102. Let u(c) = 12*c**2 - 28*c + 33. Let s be u(5). Let y = -186 + s. What is the remainder when t is divided by y?
3
Suppose 1008 = 6*b - 10*b. Let g = b + 293. Calculate the remainder when g is divided by 14.
13
Let r(u) = 4*u + 9. Let g be 6 - 2 - 48/(-3). Suppose 57 = 3*i - n - 3*n, -3*i - 4*n = -81. Calculate the remainder when r(g) is divided by i.
20
Let x be (-42)/(-4 - (-20)/8). Let p be (16/x)/((-2)/(-14)). Suppose s + b = 2*b, p = -4*s + 5*b. Calculate the remainder when 10 is divided by s.
2
Let c = 423 + -4. What is the remainder when c is divided by 7?
6
Suppose -285*z = -19*z - 33*z - 20970. What is the remainder when z is divided by 57?
33
Suppose -416 = -2*f - w, -3*f + 424 = 4*w - 185. Calculate the remainder when f is divided by 57.
40
Let o be 126/7 + (-2)/2. Suppose 4*q = -2*d + 104, -q + d + o = -3*d. Suppose -3*s = g - 2, 8*g - 112 + 40 = 4*s. What is the remainder when q is divided by g?
1
Let p(j) = -j**2 - 29*j - 108. What is the remainder when 113 is divided by p(-23)?
23
Suppose s - 1 = -0*s - n, n - 1 = -4*s. Suppose -2*w = 2*w - 44. Calculate the remainder when (-2)/4*-42 - s is divided by w.
10
Let q = 93567 + -93539. Suppose 0 = -2*h + 4*h - 60. Suppose -2*b = b - h. What is the remainder when q is divided by b?
8
Suppose 5*t + 5*l + 240 = 0, l - 122 - 94 = 5*t. Let b = 52 + t. What is the remainder when 9 is divided by b?
1
Suppose -74*z + 209 = -63*z. Calculate the remainder when 275 is divided by z.
9
Let t(h) = -h**3 + 28*h**2 - 41*h - 3. Calculate the remainder when t(18) is divided by 50.
49
Let h = 1 - -93. Suppose 6*l + 72 = 9*l + 3*x, h = 4*l + 5*x. What is the remainder when 72 is divided by l?
20
Let l = 20447 - 20422. Calculate the remainder when 9696 is divided by l.
21
Let c = 2220 + -2149. Calculate the remainder when 780 is divided by c.
70
Let c = -38 + 41. Let m(y) = -2*y - 17. Let n be m(-13). Let z = n - c. What is the remainder when z is divided by 5?
1
Let o = -266 + 315. Suppose -46*h - 33 = -o*h. Calculate the remainder when h is divided by 3.
2
Let u be (-1 - -5)*61/2. Suppose h + 2*o = -0*o + u, h - 122 = 5*o. Let d(b) = 32*b**2 + 7228*b - 872. What is the remainder when h is divided by d(-226)?
26
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