 = c**2 + 12*c - 30. Calculate the remainder when i(-20) is divided by 31.
6
Let k(i) = i**3 - 4*i**2 + 33*i - 41. What is the remainder when k(11) is divided by 78?
77
Let n(h) = -210*h - 1306. Calculate the remainder when n(-16) is divided by 98.
94
Let n(f) = -2671*f - 1348. Calculate the remainder when n(-1) is divided by 1308.
15
Calculate the remainder when 211 is divided by 6 - (-17)/(153/1809) - (-2)/1.
2
Let j = -2786 - -4076. Suppose 0 = -525*v + 531*v - j. What is the remainder when v is divided by 44?
39
Let j(c) = -c - 29. Let x be j(-11). Let t(z) = z**3 + 20*z**2 + 26*z - 9. Let g be t(x). Suppose -3*u = 24 - g. What is the remainder when u is divided by 10?
9
Suppose 71*y + 126 = 73*y. Calculate the remainder when 28 is divided by 80/35*1 + (-18)/y.
0
Suppose -2*d = -5*d - 5*y + 4, -13 = -4*d + y. Suppose 193 - 301 = -12*i. Calculate the remainder when i is divided by d.
0
Let a = -11373 + 11540. Calculate the remainder when 506 is divided by a.
5
Suppose -466 = -68*k + 302 + 660. Calculate the remainder when 204 is divided by k.
15
Suppose 2*f + 3 = 11. Suppose -f*w - 5*q + 212 = 0, 2*w - 3*q = -3*w + 228. Calculate the remainder when w is divided by 26.
22
Let s(p) = 2*p**3 + 35*p**2 - 7*p - 69. Calculate the remainder when s(-17) is divided by 31.
29
Let q(g) = g + 0*g - 5 - 3*g - 2*g. Calculate the remainder when q(-9) is divided by (-6 - -1)*(-56)/40.
3
Let g be (-1 - -4)*(-5 + (-200)/(-24)). Suppose 142 = 8*k - 18. What is the remainder when (-8532)/(-270) + 2*2/g is divided by k?
12
Let o(b) = -4*b**2 + 46*b - 29. Let r(f) = 2*f + 24. Let m be r(-7). Calculate the remainder when o(m) is divided by 12.
7
Suppose -378707 = -756*f + 180290 + 226487. What is the remainder when f is divided by 80?
79
Let d = 44 - 44. Suppose 78 = 3*o - 0*o + 4*m, -3*m - 9 = d. Suppose -4 = 4*l - 28. Calculate the remainder when o is divided by l.
0
Let d(v) = v - 1. Suppose 10*x - 28 = 3*x. Let w be d(x). What is the remainder when (0 + w + -2)*77 is divided by 20?
17
Suppose 7*m = -41*m + 2880. Calculate the remainder when 131 is divided by (-1164)/(-15) - (-3)/m*-12.
54
Let t(g) = -5*g - 31. Suppose -5*b + 52 = -3*c, -5*b + 2 - 7 = 0. Let h be t(c). Suppose z - h = -3*z. Calculate the remainder when 62 is divided by z.
14
Let n(z) = -388*z + 18. Let k be n(1). Let m = 377 + k. What is the remainder when 22 is divided by m?
1
Suppose -3*t + 5*a = -11 - 68, 2*t - 5*a - 56 = 0. What is the remainder when t is divided by 34/((-155)/(-186) - 14/(-12))?
6
Let m(j) = 4*j**2 + 3*j. Suppose h - 51 = q, -117 = -4*h - 4*q + 119. What is the remainder when h is divided by m(1)?
6
Suppose -o - 2*c + 5*c + 20 = 0, -3*o + 16 = 2*c. Suppose -12*l = -13*l + o. What is the remainder when 47 is divided by l?
7
Let p(f) = 6*f**2 - 28*f + 97. Calculate the remainder when 443 is divided by p(6).
8
Let n(p) = p**3 + 33*p**2 + 177*p. What is the remainder when 587 is divided by n(-7)?
27
What is the remainder when 18270/3480*-8*229/(-6) is divided by 24?
19
Let n(y) = -17*y + 10. Let m be n(3). Let w = 196 - 113. Calculate the remainder when w is divided by (-7)/(-3)*(-492)/m.
27
Suppose 5*d - 365 = q, 1 = -2*q + 11. Calculate the remainder when 468 is divided by d.
24
Let q = -16184 - -16346. What is the remainder when q is divided by 50?
12
Let t = -4 - 12. Let v = t - -47. Calculate the remainder when 92 is divided by v.
30
Let o(m) = 74*m**2 + 82*m - 422. Calculate the remainder when o(5) is divided by 7.
4
Let j(l) = -4*l**2 - 26*l - 4. Let x be j(-6). Let k = 3 + x. What is the remainder when 283 is divided by k?
8
Let i be -3*((-1)/3 + 1). Calculate the remainder when 4/(((-192)/132)/(-4)) - -90 is divided by i/(-4)*-2*-17.
16
Suppose 0 = 176*m - 180*m + 40. Let q(g) = g**2 - 6*g + 1. Let o be q(15). Let n = o - 69. What is the remainder when n is divided by m?
7
Let u be 4 + (-2)/1 + 0. Let n be ((-170)/50 + (-12)/20)*-2. Suppose 0 = x - u - n. What is the remainder when 47 is divided by x?
7
Let r(p) = p**2 + 40*p + 18. Suppose -4*u = -4*g + 152, 4*g + 50 = -2*u - 38. Let l = -58 - -91. What is the remainder when l is divided by r(u)?
15
Let h(c) = -c**3 - c**2 + 378*c - 32. Suppose -n - 2*n + 64 = b, 12 = n + 5*b. Calculate the remainder when n is divided by h(-20).
6
Suppose 2*j = -95 + 65. Let n be j*(54/(-15) - -4). What is the remainder when 130 is divided by 0 + (-200)/(-6) - (-2)/n?
31
Suppose -5*h - 13 = -2*o + 4, 0 = 2*o + 3*h + 7. What is the remainder when 644 is divided by 4 + 1 - (-46 + o - -7)?
42
Suppose 10*t = -50 + 150. Suppose -5*v + 13 + 52 = 0. What is the remainder when v is divided by t?
3
Suppose 978*m = 942*m + 396. Let a(u) = u**3 - u**2 - 4*u - 1. Calculate the remainder when a(4) is divided by m.
9
Suppose 65*d - 17*d = 816. What is the remainder when 27 is divided by d?
10
Let v = 12 - 17. Let s = v + 8. What is the remainder when (9 - -2)*((-192)/66)/(-8) is divided by s?
1
Suppose -10 = -4*u + 6. Let h = 1458 - 1455. Suppose -h*s + p = -39, u*s + p - 42 = -p. What is the remainder when s is divided by 5?
2
Let f(r) = -125*r + 3621. Calculate the remainder when f(15) is divided by 864.
18
Suppose 0 = -268*u + 1822021 + 87211. Calculate the remainder when u is divided by 43.
29
Let d = 249 - 248. Calculate the remainder when 103 is divided by (2/d)/(5 - (-133)/(-28)).
7
Suppose -50 - 443 = -68*d + 731. Suppose -v = -3*o + 2*v + 6, 0 = 2*o - 4*v. What is the remainder when ((-66)/o)/((-2)/4) is divided by d?
15
Suppose -45 = 2*n + 3*r, 4*n + 85 = -r - 0*r. What is the remainder when 32 is divided by (-36)/n*(-21)/(-6) - 3?
2
Suppose -10 = -2*t - 2*c - 2*c, -4*t + c - 16 = 0. Let x be (24/(-40))/(t/15). Calculate the remainder when 30 is divided by (12/(-5))/(x/(-10)).
6
Suppose 0 = -5*h + 2*s + 493, 0*h - 499 = -5*h - 4*s. Let f = -48 + h. Let i(j) = j**2 - 5*j + 7. Calculate the remainder when f is divided by i(6).
12
Let z(r) = 6*r + 84. Let f be z(-12). Suppose 3*p + l = 52, 4 = 4*l + f. What is the remainder when p is divided by 13?
5
Let w(t) = -13*t + 18. Suppose -2*b = b - 12, 0 = -2*h - 3*b + 12. What is the remainder when 63 is divided by w(h)?
9
Let y(x) be the third derivative of -x**6/120 - x**5/30 + x**4/2 - x**3/6 - 102*x**2. Calculate the remainder when 19 is divided by y(-5).
5
Let s be (70 - 41) + 3*-1. Suppose 0 = 2*a - o - 0*o - 14, -8 = -2*a + 4*o. What is the remainder when -1*(-30)/20*s*1 is divided by a?
7
Let x = -8725 + 8867. What is the remainder when 835 is divided by x?
125
Suppose 12*g - 3104 + 1728 = 3460. What is the remainder when g is divided by 28?
11
Let a(o) = o**3 - 3*o**2 + 5*o - 2. Let x(h) = h**3 + 3*h**2 - 9*h + 17. What is the remainder when a(5) is divided by x(2)?
16
Let r(y) = 71*y + 189. Calculate the remainder when r(6) is divided by 52.
43
Suppose c + 2*b - 4 = 0, -b + 2 = c - 4. Let j be -2 - (-2 + -5 - 0). What is the remainder when (-224)/(-10) - 2/j is divided by c?
6
Suppose -4*o + o = x - 10, -3 = -3*x. Suppose -o*j + 0*j = -3150. Suppose 6*q = -4*q + j. Calculate the remainder when q is divided by 53.
52
Suppose -54*q - 90*q = -3945 - 15207. Let a = 41 - 7. Calculate the remainder when q is divided by a.
31
Suppose 5*q + 5 = -5*z, 1 = -3*z + 4*q + 5. Suppose 21*n - 12*n - 216 = z. Let h = 24 - 11. What is the remainder when n is divided by h?
11
Let n(v) = 354*v**3 - 3*v**2 + 33*v - 31. Calculate the remainder when n(1) is divided by 33.
23
Suppose 6923 = 5*w - c, -3*w + 8*c + 2075 = -2101. What is the remainder when w is divided by 34?
24
Suppose -1469*s + 1472*s - 899 = c, 302 = s + 2*c. What is the remainder when s is divided by 41?
13
Suppose 6*r - 4*r - 4*g = 1452, -5*r + g + 3684 = 0. Calculate the remainder when r is divided by 185.
183
Let b(z) = z**3 - 8*z**2 - 7. Let c = 42 - 29. Let r = c + -4. Calculate the remainder when b(r) is divided by 19.
17
Suppose -9*p + 17*p + p - 666 = 0. Calculate the remainder when 84 is divided by p.
10
Let m = 129 + -132. Calculate the remainder when (-715)/m - (-7 - (-152)/24) is divided by 48.
47
Let n(a) = 6*a - 47. Let t be n(12). Suppose -c + 7*h + t = 2*h, 0 = c + 2*h - 4. Suppose -4*q + 84 = -56. What is the remainder when q is divided by c?
5
Let a = -65 - -109. Suppose 10*r = -4*i + 12*r + 1926, 3*i - 4*r - 1437 = 0. C