 + 183. Calculate the remainder when 12 is divided by g(-2).
4
Let s(b) be the second derivative of 7*b**3/6 + 66*b**2 - 62*b. What is the remainder when s(-15) is divided by (22/(-3))/((-4)/6)?
5
Suppose 3*u - 27 + 3 = 3*z, u + z = 0. Suppose 41*q + 84 = 43*q - u*p, -20 = -5*p. Calculate the remainder when q is divided by 18.
14
Let g(z) = 358*z + 1461. Calculate the remainder when 308 is divided by g(-4).
18
Suppose 2*j = k + 7, j + 0*k - 2*k = 5. Let y(q) = 5*q**2 - 6*q. Let b be y(j). Let x = b + -18. Calculate the remainder when 34 is divided by x.
7
Let n = 1868 + -1767. What is the remainder when 500 is divided by n?
96
Let d = -82 - -104. Let k(t) = -t**3 + 20*t**2 + 45*t + 31. What is the remainder when 103 is divided by k(d)?
50
Let d(h) = 16*h - 5. Let p(y) = -48*y + 15. Let r(x) = -11*d(x) - 4*p(x). Let v = 18 - 15. What is the remainder when r(v) is divided by 11?
10
Let m be (1 + (-3)/2)/(10/(-160)). Suppose m*z - 391 = 273. Suppose 0 = 2*v + 3*v - 10, 0 = 4*k + 4*v - 124. Calculate the remainder when z is divided by k.
25
Suppose 0 = -5*x - 18*n + 17*n + 3273, -3*x + 1977 = 5*n. Let c = -609 + x. What is the remainder when 137 is divided by c?
2
Suppose 2*f - f = 0. Suppose f = -3*n + n - 2*g + 4, -4*n = -2*g - 8. Suppose d - n*d + 16 = 0. What is the remainder when d is divided by 10?
6
Suppose -11*k + 142 + 749 = 0. Suppose -5*l + k = p, -3*p = -l - 68 - 111. What is the remainder when p is divided by 33?
28
Let l be (-35 - -43) + (-1 - 3). Suppose -t + 3*p + 134 = 0, 4*t - 489 = -l*p + 63. What is the remainder when t is divided by 47?
43
Suppose -1252 + 16053 = 19*m. What is the remainder when m is divided by 20?
19
What is the remainder when 18308/115 + (-8)/(-10) is divided by 56?
48
Let w(u) = -3438*u - 6486. Calculate the remainder when w(-6) is divided by 32.
30
Suppose 5*r - 5*w - 65 = 0, -2*w - 1 = 5. What is the remainder when 14 is divided by r?
4
Let z(b) = -2*b + 37. Let s be z(0). Let a = 137 - s. Suppose -a = -5*w + 935. What is the remainder when w is divided by 21?
18
Let d(f) = -f**3 - 18*f**2 - 39*f + 8. Let o be d(-15). Let b = -20 - o. Calculate the remainder when 183 is divided by b.
59
Let s(t) = 7*t + 242. Suppose -11*w = 19 + 212. What is the remainder when s(w) is divided by 94?
1
Suppose -52*x = -46*x - 1056. Suppose 5*f + 4*k - x = -26, -4*k = 0. What is the remainder when 94 is divided by f?
4
Let g(j) be the first derivative of j**3 - 5*j**2 + 7*j + 83. Let c(n) = 6*n. Let y be c(1). What is the remainder when g(y) is divided by 19?
17
Let i = -7434 - -7649. What is the remainder when 2358 is divided by i?
208
Suppose 2*n = -5*g + 3*n + 298, -3*n + 186 = 3*g. Let a(v) = v**2 - 22*v + 20. What is the remainder when (1752/g)/((-2)/(-5)) is divided by a(22)?
13
Suppose -106*u + 227*u = 116*u + 70900. What is the remainder when u is divided by 7?
5
Suppose 22 = -2*w - 2*c, -109*w + 3*c + 40 = -113*w. Let z(t) = t**2 + 4*t - 8. Calculate the remainder when 193 is divided by z(w).
11
Let u(s) = 2*s - 1. Let m(d) = -3*d**2 + 34*d + 165. Let w(x) = -m(x) + 3*u(x). Calculate the remainder when w(-6) is divided by 14.
10
Suppose 12*c = 17*c - 4*t + 1449, 3*t - 574 = 2*c. Let r = c - -515. What is the remainder when r is divided by 7?
5
Suppose r - 1940 - 779 = -4*c, -20 = 20*r. Calculate the remainder when c is divided by 175.
155
Let i = 24 + -8. Let p be -3 + -1 - (0 - 23 - 3). Suppose -3*x = -z + 3*z - p, -z = 4. What is the remainder when i is divided by x?
6
Suppose 315 = 5*f - 40. What is the remainder when f is divided by 78/208 + 362/16?
2
Suppose -60 = u + 3*u. Let t be ((-2)/(-6))/((-1)/u). Suppose 5*g - g = t*b + 59, 0 = 3*g + b - 68. What is the remainder when g is divided by 12?
9
Let b(y) = -413*y - 791. What is the remainder when 119 is divided by b(-2)?
14
Let x be (-10)/35 + (-48)/(-21). Suppose -m = 4*r - 0*r - 160, 0 = -x*m + 8. Calculate the remainder when r is divided by 24.
15
Suppose 47*u - 49*u = -36. Suppose 518 = -11*d + u*d. Calculate the remainder when 147 is divided by d.
73
Let s = 15835 - 15479. Calculate the remainder when s is divided by 98.
62
Suppose 0 = 3*b + 2*y - 4472, 3*b - 66*y + 62*y = 4502. Calculate the remainder when b is divided by 215.
204
Let i(t) = -9*t + 27. Let m(s) = 4*s - 14. Let d(b) = 3*i(b) + 7*m(b). Let y be d(13). Calculate the remainder when 58 is divided by (-32)/y - 4/(-1).
10
Suppose -8 - 36 = 4*m. Suppose 54 = a - 3*b, 40*a = 41*a - 5*b - 52. Let l = a + m. Calculate the remainder when l is divided by 16.
14
Suppose -1899*g = -1919*g + 40. Let q = -18 + 68. Suppose g*d - q = 14. What is the remainder when d is divided by 18?
14
Suppose d - 38 = -2*i, 0 = 3*d + 19*i - 18*i - 69. Suppose 2*r + 0*r = 116. Calculate the remainder when r is divided by d.
18
What is the remainder when 464 is divided by 1716/2002 + (0 - (-2 - (-912)/(-14)))?
56
Suppose -g - 113 = -3*t - 42, g - 83 = -4*t. Suppose -200*s + 244*s = 8624. What is the remainder when s is divided by t?
20
Suppose 0 = z - 138 + 34. Let h = -70 + z. Let r(b) = b**2 + 2*b - 1. Calculate the remainder when h is divided by r(-4).
6
Suppose o - 2*u - 66 = 0, 2*o = -8*u + 13*u + 136. What is the remainder when 174 is divided by o?
0
Suppose -5*g = -4*g - 91 - 731. Calculate the remainder when g is divided by 265.
27
Let p(q) = 3*q**2 - 5*q + 2. Let g(h) = 682*h - 1990. What is the remainder when g(3) is divided by p(4)?
26
Suppose 4*c = -24*c - 7840. Let n = c + 309. What is the remainder when 259 is divided by n?
27
Let s = 15 + 32. Suppose 5*f + 5*g = 115, 5*f + g = 3*f + s. Calculate the remainder when f is divided by 6.
0
Let w(h) = 5*h**2 + 76*h - 170. Calculate the remainder when 502 is divided by w(3).
90
Let t(w) = 23 - 13 - 3*w - 22. What is the remainder when 6/21 - 26/(-7) is divided by t(-5)?
1
Suppose 0 = 80*g - 772 - 828. Calculate the remainder when 58 is divided by g.
18
Let l be (-3 + 42/10)/((-3)/15). Let f(z) = 8*z + 66. What is the remainder when 49 is divided by f(l)?
13
Let m(z) = -107*z - 3422. Calculate the remainder when m(-37) is divided by 170.
27
Let y be (-2)/5 + ((-1179)/15 - -4). Let g = 3 - -5. What is the remainder when 8/((-80)/y)*2 is divided by g?
7
Let z = -83 + 84. Let n be ((-1)/(-2)*(6 - -4))/z. Suppose -3*j + 214 = 4*m, -10*m + n*j = -5*m - 285. What is the remainder when m is divided by 19?
17
Let k(n) = -n**2 - 21*n + 2. Let r be k(-21). Let p(h) = 12*h**2 - h + 7*h**2 + 2 + 21*h**r. Calculate the remainder when p(1) is divided by 22.
19
Let o(w) = w + 9. Suppose -955 = -12*q + 209. Calculate the remainder when q is divided by o(6).
7
Suppose -21*a = 26 + 58. Calculate the remainder when 140 is divided by (a - 17)/(-1) + 3.
20
Let f = 13 - 14. Let u(g) be the third derivative of -43*g**6/60 + g**4/12 + g**3/3 + 6*g**2 - 3*g. What is the remainder when u(f) is divided by 30?
26
Suppose 2*p + 3*f + 9 = 4*p, -f = -5. Suppose -5*a - 5*d = -130, 58*d - 57*d + 98 = 3*a. What is the remainder when a is divided by p?
7
Let a(b) = -2*b + 26. Let y be a(-6). Suppose -y = 4*t + 10. What is the remainder when t + 26 + 4*1 is divided by 11?
7
Suppose 64*z = 2*o + 60*z - 44, -2*z = 4*o - 138. What is the remainder when o is divided by 3?
2
Suppose 5*z = 2*u - 139, 3*z - 240 = -3*u - 0*z. What is the remainder when u is divided by 5/(-20)*1 + (-265)/(-20)?
12
Suppose -65*k + 832885 + 160392 = -809953. What is the remainder when k is divided by 16?
14
Let b be (3/9)/(8/(-144)). Let i(a) = a**3 + 7*a**2 - 3*a - 44. What is the remainder when 130 is divided by i(b)?
0
Suppose 0 = -2*i - 8, 4*k + 4*i = 112 - 32. Suppose 5*d - 174 = -2*r, -5*r + d = -10*r + 412. What is the remainder when r is divided by k?
10
Let u = -5351 - -5479. Suppose 0 = 2*g + 4*p - 18, -55 = -5*g - 5*p - 0*p. What is the remainder when u is divided by g?
11
Suppose 1029*s = 1042*s - 767. What is the remainder when 163 is divided by s?
45
Let p = -2600 + 13938. Calculate the remainder when p is divided by 36.
34
Let d(i) = -13*i + 345. Calculate the remainder when d(-34) is divided by 36.
31
Suppose s = -3*n + 635, -1315 = -29*s + 27*s + 3*n. What is the remainder when s is divided by 30?
20
Let s be (-12)/(-20)*(1 - -74). Suppose 2*m + 2*a - 9 = m, 3*a = -5*m + s. Suppose -38 = -10*p + m*p. Calcu