t c(r) = 6 + 3*r**2 - 2*r**2 - 5 + 6 + 7*r. Calculate the remainder when 110 is divided by c(-10).
36
Let l(d) = d**3 - 15*d**2 + 14*d + 33. Let x(a) = a**2 - 5*a - 2. Let i be x(6). Suppose 24 = i*b - 24. Calculate the remainder when l(14) is divided by b.
9
Let p(q) = q**3 - 11*q**2 + 18*q - 7. What is the remainder when p(10) is divided by 21?
10
Let r(s) = -3*s**3 - 3*s + 1. Let b be r(2). Let a = 9 - b. Let n = a + -10. What is the remainder when n is divided by 15?
13
Suppose d = -2*t - 219, -d + 108 = -t - 0*d. Let c = t + 166. Calculate the remainder when c is divided by 32.
25
Suppose f - 3*y + 27 - 64 = 0, 3*f = 2*y + 118. What is the remainder when 78 is divided by f?
38
Let s be ((-3 - 36/(-8)) + -1)*-8. What is the remainder when (1 + -5)*(s + (-35)/(-10)) is divided by 2?
0
Suppose 3*y - 54 = -4*b, 0*y + 68 = 4*y + 4*b. What is the remainder when y is divided by ((-6)/(-21))/(3/84)?
6
Suppose 16 = y + 4*d, -y = 4*y + 2*d - 26. Suppose l - y = -0. What is the remainder when (-3 + l)/(4/268) is divided by 17?
16
Let q(v) = -2*v - 8. Let o be q(-6). Let a(z) = z**3 - 4*z**2 + 2*z + 2. Calculate the remainder when (-9)/((-54)/118) + (-4)/6 is divided by a(o).
9
Let r = -18 + 22. Suppose 3*a = -4*z + 280, 4*a + 0*a = 0. Suppose -3*w - z + 19 = -4*l, 16 = 4*l + 4*w. What is the remainder when l is divided by r?
1
Let b(w) = w**3 + 7*w**2 - 8*w - 33. Calculate the remainder when 113 is divided by b(-3).
5
Suppose -5*k - 5*h + 105 = 35, -4*k + 32 = -2*h. Let a be 171/((-5)/(k/(-3))). Suppose o + a = 4*o. What is the remainder when o is divided by 20?
18
Let r(i) be the second derivative of -3*i**5/20 - 7*i**4/12 - i**3 - 3*i**2/2 + 12*i. Calculate the remainder when r(-3) is divided by (12/(-5))/((-3)/15).
9
Suppose -1247 = -2*f - 3*a, f = 6*f - 2*a - 3165. What is the remainder when f is divided by 207?
10
Suppose 5*n - 53 = -t, 0*t = 4*t + 3*n - 178. Suppose 5*q + 5*w = 65, -3*q - 2*q = -w - 53. What is the remainder when t is divided by q?
10
Let v(n) = -n**2 + 10*n - 1. Let j be 2 + 4 - (1 - 3). Suppose -9*x = -2*x - 42. Calculate the remainder when v(j) is divided by x.
3
Let z(q) = 3*q. Let v be z(-1). Let y = -5 - -18. Let o = v + y. Calculate the remainder when 37 is divided by o.
7
Suppose 2 = r - 2. Suppose -4*x - 314 = -2*c, -5*c + 0*x = r*x - 855. Calculate the remainder when c is divided by 34.
31
Suppose -2*l - 103 - 25 = -4*x, l - 4 = 0. Suppose -f = -0*f - 7. Calculate the remainder when x is divided by f.
6
Let v(a) = 0*a**2 - a**2 + 2 + 2*a**2 + a. Let u be v(0). Calculate the remainder when 29 is divided by u + (1 + -1 - -3).
4
Calculate the remainder when 341 is divided by (-165 + -9)*(-3)/6.
80
Let f = 252 - 106. Let s = f + -76. Calculate the remainder when s is divided by 37.
33
Let z(c) = 11*c**2 - 30*c + 113. Calculate the remainder when z(8) is divided by 20.
17
Suppose 3*f + 61 = 5*i, -4*i + 18 = -5*f - 23. Calculate the remainder when 152 is divided by i.
12
Suppose 0 = p + 4 - 7. Suppose 0 = 3*b - 3, -2*b + 0 = -5*f + p. Let m = f - -6. What is the remainder when 20 is divided by m?
6
Suppose 7*h - 11*h = 2*r - 40, -3*r + 2*h + 92 = 0. Calculate the remainder when 55 is divided by r.
27
Suppose 18 + 7 = 5*a. Suppose -k + 1 = -3, -2*s + 5*k = 18. Suppose -2*c - s = -f + 2*c, -f + 10 = -c. What is the remainder when f is divided by a?
3
Suppose -418*q + 416*q + 282 = 0. What is the remainder when q is divided by 71?
70
Let c = -170 - -274. Suppose -5*k + 2*l + 45 + 180 = 0, 2*k - c = -2*l. Let f = 24 + -8. Calculate the remainder when k is divided by f.
15
Let c = -2 + -25. Let w(o) = o**2 + 29*o + 61. Calculate the remainder when 16 is divided by w(c).
2
Let g(d) be the third derivative of 0 + 0*d - 11*d**2 - 5/24*d**4 - 1/6*d**3. What is the remainder when 56 is divided by g(-4)?
18
Let o(v) = v**2 + 3*v - 4. Let b be o(-4). Suppose 2*c - c - 9 = b. Calculate the remainder when c is divided by 3.
0
Let w(f) = -f**3 + 9*f**2 - 9*f + 20. Let d(h) = -h**3 - 6*h**2 + 6*h + 1. Let i be d(-7). Let v = 106 + -71. Calculate the remainder when v is divided by w(i).
11
Suppose -6 = -m + 6*m + 2*d, -4*d = -2*m + 12. Let k(j) = 77*j**3 + 101 - 39*j**3 - 39*j**3. What is the remainder when k(m) is divided by 26?
23
Suppose 2*q + 55 = -5*w, 0*q - 43 = 2*w + 5*q. Let p = w + 15. What is the remainder when p is divided by 1?
0
Let h = 16 + -11. Suppose h*w - 85 = -5*d, -3*w - 2*d - 26 = -6*w. Let v = 122 - 87. What is the remainder when v is divided by w?
11
Suppose -4*h + 3*h + 3*h = 0. Calculate the remainder when 29 is divided by (-2 + h)/(-2)*6.
5
Suppose -3*d = -i - 1657, 3*i = -5*d + 2024 + 719. Calculate the remainder when d is divided by 69.
68
Calculate the remainder when 84 is divided by -5 + 216/6 - -4.
14
Suppose -2*m - 234 = -4*p - 12, -5*m = 5*p - 285. Suppose 2*z - 2*r = p, 3*z - r - 57 = 27. What is the remainder when z is divided by 16?
12
Let a(q) = -19*q**2 - q + 13. Let v(m) = 6*m**2 - 4. Let k(b) = 2*a(b) + 7*v(b). What is the remainder when 39 is divided by k(2)?
9
Let k = 529 - -315. Calculate the remainder when k is divided by 53.
49
What is the remainder when 687/(-15)*50/(-5) is divided by 51?
50
Let c(s) = 4*s**3 - 4*s**2 + 4*s - 5. Calculate the remainder when c(4) is divided by 48.
11
Let j = -13 - -10. Let p = 24 + j. Let y = 18 + -7. Calculate the remainder when p is divided by y.
10
Let i(g) = g**3 + 45*g**2 - 53*g - 274. What is the remainder when (-2)/(-5)*470/2 is divided by i(-46)?
46
Let k = 901 - 856. Calculate the remainder when 133 is divided by k.
43
Suppose -2*v + 78 - 409 = -3*p, 3*p - 347 = -2*v. Suppose 4*g - p = 15. What is the remainder when 61 is divided by g?
29
Suppose 3*w = 9 + 39. Calculate the remainder when 62 is divided by w.
14
Suppose 3*x - 180 = 9*x. Calculate the remainder when (-2)/(-5)*x/(-3) is divided by 4.
0
Suppose -s - 18 = -2*t, -2*t - 19*s + 24*s = -2. Calculate the remainder when (-2 - -1) + 22 + -2 is divided by t.
8
Suppose -5*d + 7*d - 8 = 0. Suppose -i + d*p + 49 = 0, 5*i - 2*i - 3*p - 102 = 0. Calculate the remainder when 84 is divided by i.
26
Suppose -24 = 36*n - 40*n. Suppose 0 = -4*s + n*s - 78. Calculate the remainder when s is divided by 10.
9
Let g = -6 + 18. Suppose 0*l + g = 4*l. Suppose -16 = l*y - 4*y. What is the remainder when 61 is divided by y?
13
Let i(p) = p**2 + 5*p - 3. What is the remainder when 60 is divided by i(2)?
5
Suppose -19 = -v + 9. What is the remainder when (3 - 2)/((-1)/(-395)*5) is divided by v?
23
Let k = 117 - 20. Calculate the remainder when k is divided by 33.
31
Let a be (-7 + 3 - -3)*1. Let s be (-20)/((6/9)/a). What is the remainder when (2 - s)/(1/(-2)) is divided by 29?
27
Let a be (13 - (1 + -2))/((-7)/154). What is the remainder when (-2)/(-3) + a/(-6) is divided by 18?
16
Suppose -105 = -4*f + 3*i - 19, 2 = -i. Let w(n) be the first derivative of -n**2 - n - 1. Calculate the remainder when f is divided by w(-6).
9
Let t be (136/10)/(7/70). Suppose 0*p = -4*p + t. Calculate the remainder when p is divided by 18.
16
Suppose 79 = 3*w - 305. Calculate the remainder when w is divided by 12.
8
Let l(p) = 3*p**2 - 2*p + 4. Suppose -4 = -f + 3*w + 2, -4*f = -3*w - 6. Suppose f*i - 3*i = -30. What is the remainder when l(5) is divided by i?
9
Let w(c) = -c**3 + 6*c**2 + 7*c + 12. Let n be w(7). What is the remainder when 66/n*(1 - -1) is divided by 8?
3
Let f = -3 - -6. Suppose -21 = -6*l + 87. Calculate the remainder when l is divided by f.
0
What is the remainder when (40/70 + (-12)/(-28))*449 is divided by 75?
74
Suppose 0 = -3*h - 6 + 15. Suppose 5*j - 349 = -h*w, -8 = j - 2*w - 83. Let s = 41 - 23. What is the remainder when j is divided by s?
17
Suppose 2*u + 6*u - 40 = 0. Suppose 0*z + u*z + 213 = 4*y, 3*y - 4*z - 161 = 0. What is the remainder when y is divided by 12?
11
Let n(o) = 9*o + 3. Let b be n(2). Suppose 3*u - i - 15 = -u, 4*u - 3*i = b. Calculate the remainder when u is divided by 1.
0
Suppose y = 25 + 1. Calculate the remainder when ((-76)/(-8) - 9)/(2/172) is divided by y.
17
Suppose 47 = 6*x - 13. Calculate the remainder when -1 + 0 + -1 + 49 is divided by x.
7
Suppose 59 = 3*h + 77. Let y(v) = 4. Let p(k) = -k. Let r(j) = 3*p(j) - y(j). What is the remainder when 66 is divided by r(h)?
10
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