729).
363
Let h be (-21)/7*(-1)/(-3). Let w(z) = -155*z + 2. Let n be w(h). Suppose n = 4*u + 41. Calculate the remainder when u is divided by 15.
14
Let u be 0 + 0/(6 - -4). Suppose u = 3*q + 4*t - 238, -2*t - 241 = -4*q + 47. Calculate the remainder when q is divided by 23.
5
Suppose 25*i = 13*i - 2772. Let c = 301 + i. Calculate the remainder when c is divided by 12.
10
Suppose -576*m + 679*m = 1133. What is the remainder when 41 is divided by m?
8
Suppose -12*o = -33 - 123. Calculate the remainder when 2*(1 - 95/(-2)) is divided by 0/(-5 - -11) + o + -3.
7
Let h(j) = 9*j**2 + 9*j - 10. Let l(q) = -1. Let r(n) = h(n) + 3*l(n). Let i be r(2). Suppose m + 18 = i. What is the remainder when 65 is divided by m?
19
Let c = -106 + 190. Let g = 220 - 123. Let f = g + -80. What is the remainder when c is divided by f?
16
Suppose -2*v + 244 = -7*d - 22, 3*d = v - 130. What is the remainder when v is divided by 60?
52
Let r be 1382/5 - 4/10. Suppose 0 = -5*c + 2*q + r, -2*q = -c + 81 - 21. Suppose 13878 + 987 = 991*i. Calculate the remainder when c is divided by i.
9
Suppose 7036 = 32*z - 2913 - 61091. What is the remainder when z is divided by 57?
54
Let o = -30 - -12. What is the remainder when 23 is divided by 8/o + (-85)/(-9)?
5
Let l(u) be the first derivative of u**4/4 + 22*u**3/3 + 21*u**2/2 + 28*u - 20. Let s be l(-20). What is the remainder when (s/9)/4*6 is divided by 14?
12
Let j(x) = -9*x**3 - 14*x**2 - 6*x + 26. Let h(m) = -2*m**3 - m**2 - m - 3. Let g(r) = -5*h(r) + j(r). Calculate the remainder when 105 is divided by g(9).
9
Let t = 182 + -156. Suppose 6*g - 4*g = t. What is the remainder when 58 is divided by g?
6
Let t(k) = k**2 - 7*k + 24. Suppose -x + 0 + 15 = 0. What is the remainder when t(-10) is divided by x?
14
Let x(q) = 34*q - 2. Let j be x(1). Suppose a + 2 - j = 0. Let t(s) = -30*s + 718. What is the remainder when t(18) is divided by a?
28
Suppose 8*y - 24 = 2*y. Let s be y - 1/(((-8)/(-2))/(-4)). Suppose 0 = -s*x + v + 50, 5*x + 0*v - 5*v - 50 = 0. What is the remainder when 37 is divided by x?
7
Let l(x) = 4*x + 50. Let w be l(-12). Let g be (-1)/(-1*w/62). Suppose -g = t - 39. Calculate the remainder when 23 is divided by t.
7
Suppose r - 1866 = -2*a, -2*r - a + 9285 = 3*r. Calculate the remainder when r is divided by 615.
11
Calculate the remainder when (16/(-120) + 56968/(-15))*(-9)/6 is divided by 41.
39
Let d = -59 - -56. Let k be (d/5)/((2/15)/(-2)). Suppose -2*m - k = -3*m. What is the remainder when m is divided by 3?
0
Suppose 2313*p - 2274*p - 44031 = 0. What is the remainder when p is divided by 217?
44
Suppose 6*y - 47 = -35. Suppose -5*d = -y*r - 321, d - 2*d + r + 63 = 0. Calculate the remainder when 123 is divided by (-127)/(-5) - 26/d.
23
Calculate the remainder when 944 is divided by (-9)/(27/(-1374)) - 984/(-82).
4
Let n = 6677 - 5986. What is the remainder when n is divided by 183?
142
Let n be (0/(2 - -3))/1. Suppose n = -4*z + 23 - 7, -5*s + 182 = -2*z. What is the remainder when s is divided by 7?
3
Let w = 9801 + -6033. What is the remainder when w is divided by 536?
16
Let h be (82/6)/(14/(-336)*8). Calculate the remainder when h/((12 + -5)/(-21)) is divided by 60.
3
Let z(k) = 32*k - 66. Let p = 141 - 128. Calculate the remainder when z(p) is divided by 88.
86
Suppose -178*l - 6 = -181*l. Suppose l*j - 3*j = -598. What is the remainder when j is divided by 30?
28
What is the remainder when 508 is divided by -2*((-2586)/60 - (-9)/15)?
83
Let v = 2 - -1. Suppose 0 = v*l - 2*l - 47. Calculate the remainder when l is divided by 286/44 - 5 - (-65)/10.
7
Suppose -2*x + 1648 = -5*w + 1400, -586 = -4*x - 5*w. Calculate the remainder when x is divided by 101.
38
Let s = 54 - -49. Suppose s = h - 24. What is the remainder when h is divided by 22?
17
Let d(b) = b**3 + 42*b**2 + 39*b + 45. Calculate the remainder when 8507 is divided by d(-41).
125
Let p = 2857 + -2840. What is the remainder when 114 is divided by p?
12
Let f = 879 - 870. Calculate the remainder when (1 + 51)/((-13)/(-26)) is divided by f.
5
Let z(v) = -v**2 + 12*v + 5. Let q be z(9). Suppose 5*y + q - 227 = -5*t, 195 = 5*t + 3*y. What is the remainder when 113 is divided by t?
35
Let l(r) = -r**3 + 4*r**2 - 3*r + 4. Let h be (2 - (-946)/(-2))*(-18)/54. Calculate the remainder when h/10 + (-57)/(-190) is divided by l(3).
0
Let o(m) = -m**2 + 5*m + 25. Suppose 30 = -3*z - p + 195, 0 = z - 4*p - 55. Let w = z - 12. What is the remainder when w is divided by o(7)?
10
Suppose 0 = -5*a + 4*x + 578, -a + 5*x + 0 = -103. What is the remainder when a is divided by (1/2 + (-8 - -9))*14?
13
Let v(r) = -r**3 + 10*r**2 - 15*r - 11. Let j be v(7). Suppose -4*w + 164 = 5*c, -j*c + 200 = -26*c - 5*w. Calculate the remainder when 49 is divided by c.
13
What is the remainder when (74 - 76)/((-3)/(-57)*(-4)/12) is divided by 402/14 - 4/(-14)?
27
Suppose 2*p = -3*d + 5, 18 = 4*p + 5*d + 9. Suppose -y + 6 = -5. What is the remainder when (p + -6 - 36)/(-1) is divided by y?
8
Calculate the remainder when -12 + 8 + 8 - -217 is divided by 11.
1
Let r = -20 + 31. Suppose -r*v + 31 - 108 = 0. Calculate the remainder when 58 is divided by (-6 - -1)*v/35*15.
13
Let l(f) = 0*f**2 - f**2 + 9*f + 3*f**2 + 12*f**2 + 6*f - 13. Let n(i) = -3*i**3 - 3*i**2 - 4*i - 2. What is the remainder when l(-3) is divided by n(-2)?
14
Suppose 0 = -4*t + 20, 4*t = -2*c + 95 + 49. Let d(w) = -59*w**2 - 12*w + 16 + 123*w**2 - c*w**2. Calculate the remainder when 44 is divided by d(5).
2
Let r(v) = 56*v**3 + 2*v**2 - 2*v + 1. Let c(k) = -k**3 + k**2 - k. Let j(x) = -c(x) + r(x). What is the remainder when j(1) is divided by 17?
7
Calculate the remainder when (-4)/20*-70 - -2711 is divided by 94.
93
Let j(y) = y + 15. Let s be j(2). Suppose -s*m + 24*m - 91 = 0. What is the remainder when 517 is divided by m?
10
Let h = 0 - -4. Let z(k) = -95*k + 58. Let a be z(7). Let l = a + 623. Calculate the remainder when l is divided by h.
0
Let n(v) = 3*v - 1. Let k(x) = 17*x + 89. Let s(c) = k(c) - n(c). Calculate the remainder when s(-4) is divided by 12.
10
Suppose -5*t + 3*y + 2207 = 7*y, 5*t - 3*y = 2151. Calculate the remainder when t is divided by 42.
15
Suppose 58 = -q - 233. Let j = 420 + q. What is the remainder when j is divided by 26?
25
Suppose 0 = -16*x - 849 + 3409. What is the remainder when 951 is divided by x?
151
Suppose 140*j - 30 = 138*j. Suppose 0*i + j = 5*i, -3*d + 63 = -2*i. Suppose -2*y + q = -6, -3*y + 2 = -4*q + 3. What is the remainder when d is divided by y?
3
Let n(q) = -3*q**2 + 16*q - 54. Let o(p) = 3*p**2 - 15*p + 52. Let g(v) = -3*n(v) - 2*o(v). What is the remainder when 304 is divided by g(4)?
32
What is the remainder when 3725 is divided by ((0 - -142) + -4)/2 - 0/26?
68
Suppose 42*i = 74*i. Let b(f) = -f**3 + f + 5. Let x be b(0). Suppose i = -2*h - 2*p + 24, -x*p = -h - 13 + 49. Calculate the remainder when 46 is divided by h.
14
Let a(m) = -m**3 + 44*m**2 - 66*m + 137. What is the remainder when a(42) is divided by 14?
11
Let u(s) be the first derivative of 1/2*s**2 + 12*s + 9. What is the remainder when 32 is divided by u(5)?
15
Let b(x) = x**3 - x - 2. Let t be 12/48 + (0 - (-2)/(-8)). Let n be b(t). Calculate the remainder when (17 + -15)/(n/(-19)) is divided by 10.
9
Suppose 0 = -f - 13*f - 2114. Let g = -93 - f. What is the remainder when 170 is divided by g?
54
Suppose -34*i = -29*i - 2*t - 4753, -3*i + 2831 = 4*t. Calculate the remainder when i is divided by 10.
9
Suppose w - 55 - 43 = 0. Suppose 3*t + 9*t - 442 = -14*t. Calculate the remainder when w is divided by t.
13
Suppose 22*y = 61*y + 539 - 3581. Let r = -18 + 28. What is the remainder when y is divided by r?
8
Let f(c) = -c**3 - 17*c**2 + 2*c - 6. Let u be f(-17). Let v = -8 - u. Suppose -3*z + v + 43 = 0. Calculate the remainder when 124 is divided by z.
24
Let w = 3 - -2. Let y be 18/1*12/54. Suppose p = -y*p + w. What is the remainder when 2 is divided by p?
0
Let t = 4423 + -4376. Calculate the remainder when 85 is divided by t.
38
Let k = -23523 + 23934. Calculate the remainder when k is divided by 10.
1
Let m(t) = 89*t**2 + 3*t + 2. What is the remainder when 460 is divided by m(1)?
84
Suppose -284*o = -148*o - 142*o + 222. What is the remainder when 6101 is divided by o?
33
Suppose 