77. Let g = -7 + 44. What is the remainder when g is divided by t(16)?
11
Let a = -741 + 748. Calculate the remainder when a is divided by 7.
0
Suppose 14*n - 434 = 1456. Let u(l) = -l**3 + 5*l**2 + 8*l + 5. Calculate the remainder when n is divided by u(6).
16
Let x(k) = k**3 + 8*k**2 - 11*k - 20. Let j be x(-9). Calculate the remainder when j/(-6) + -1 + (-140)/(-3) is divided by 12.
10
Let l = 433 - 417. What is the remainder when 30 is divided by l?
14
Let b(c) = -c**3 + 3*c**2 - 2*c + 1. Let w be b(2). What is the remainder when ((-7)/14)/((-1)/(-18)*-1) is divided by 1/w - (-4 - -2)?
0
Suppose -u - 549 = -4*f, -5*u + 274 + 406 = 5*f. Calculate the remainder when f is divided by 20.
17
Suppose 2 = f, 6*t - 5*t - 5*f = 4. What is the remainder when 62 is divided by t?
6
Let z = -14 - -47. Suppose 15 = 5*h - 2*h. Suppose 5*k + 1 = 4*k, 4*q = h*k + 53. Calculate the remainder when z is divided by q.
9
Let r(f) = -f**3 - 13*f**2 - 25*f + 20. Calculate the remainder when r(-11) is divided by 15.
8
Let p be (-12)/3 + 12 + -1. Let q be 2/(-4) - p/(-14). Suppose o - 11 = -q. What is the remainder when o is divided by 7?
4
Let g(t) = 16*t - 136. Calculate the remainder when -4*(30/(-4) + -2) is divided by g(9).
6
Suppose k = 2*d + 12, -7 + 55 = 3*k - 2*d. Calculate the remainder when 175 is divided by k.
13
Suppose -2*g - 170 = -g. What is the remainder when 116 is divided by (g/15)/((-4)/6)?
14
Let a(d) = -d**2 - 13*d + 6 + 2 + 0. Calculate the remainder when 15 is divided by a(-13).
7
Let b(x) = 19*x**2 + 3*x + 5. Suppose 5*o - 2 = i, -1 = 2*i + o - 30. What is the remainder when b(-2) is divided by i?
10
Suppose 5*q = 7*q - 42. Calculate the remainder when 30 is divided by q.
9
Let y(a) = -a + 1. Let b(p) = -4*p + 1. Suppose -d + 4*d - 18 = 0. Let w(t) = d*y(t) - 2*b(t). What is the remainder when w(6) is divided by 9?
7
Suppose q + 18 = -5*x - q, 5*x - 5*q - 10 = 0. Calculate the remainder when ((-68)/(-51))/(x/(-12)) is divided by 6.
2
Let y(n) = -n**2 + 11*n - 18. Let l be y(9). Suppose -2*i = -4 - 0. Suppose -i*u - u + 15 = l. What is the remainder when 11 is divided by u?
1
Let s(l) = 91*l - 77. Calculate the remainder when s(2) is divided by 54.
51
Suppose 3*v = -d + 2*v + 9, 5*v = 3*d + 13. Let a be d/(-8)*(3 + 71). Let u = a + 126. What is the remainder when u is divided by 23?
20
Suppose 3*p - 3 = 6, 4*h = 3*p + 7. Suppose -h*s - 23 = -3*t, -3*t + s + 13 = 2*s. What is the remainder when 11 is divided by t?
1
Suppose 10*o + 18 = 208. What is the remainder when 146 is divided by o?
13
Let f be (0 - 190/4)*-2. Let d = f + -50. What is the remainder when d is divided by 1/(-1) + 117/9?
9
Suppose -x = x + 6. Let l(f) = -85*f**2 + 3*f. Let c(n) = 43*n**2 - 2*n. Let s(h) = x*l(h) - 5*c(h). What is the remainder when s(1) is divided by 14?
13
Let h(t) = 33*t - 21. What is the remainder when h(6) is divided by 2*(-5)/6*486/(-18)?
42
Let q = -109 - -151. Calculate the remainder when 208 is divided by q.
40
Let n(j) = -25*j - 193. Calculate the remainder when 48 is divided by n(-9).
16
Suppose 7*c - 109 = 17. Calculate the remainder when c is divided by 3.
0
What is the remainder when (-71 - -75)*642/4 is divided by 46?
44
Suppose -n = -p + 2*p - 13, 3*p = 3*n - 33. Suppose -3*f + n + 15 = 0. Suppose -100 = 43*s - 48*s. What is the remainder when s is divided by f?
2
Suppose 0*f + 56 = 4*f. Let g(j) = j**2 - 7*j + 19. Let m be g(f). Calculate the remainder when 77 is divided by m/12*40/15.
25
Let b = -32 + 34. Suppose 4*f - b - 34 = 0. Calculate the remainder when 42 is divided by f.
6
Let o = 15 + -9. Suppose -x + o*x - 55 = 0. Suppose -199*m + 172*m + 567 = 0. Calculate the remainder when m is divided by x.
10
Let x = -4 + 11. Suppose 2*h = x*h + 360. Calculate the remainder when 105 is divided by (-1928)/h + (-4)/(-18).
24
Let v(f) = -7*f - 1. Let i(c) = -2*c + 2. Let h be i(3). Suppose 6*n = 3*n + 45. Calculate the remainder when v(h) is divided by n.
12
Let h = -663 + 719. What is the remainder when 153 is divided by h?
41
Suppose -3*r + 2335 = 5*c, -c + 6*r + 467 = 3*r. Calculate the remainder when c is divided by 43.
37
Suppose -4*g = -5*j - 257, 2*g - 5*j = 142 - 11. What is the remainder when g is divided by 5?
3
Suppose 2*n = -4*h + 170, 17*n - 82 = 16*n - 5*h. What is the remainder when n is divided by (0 - (-30)/8)*4?
12
Suppose v = 4*m - 263, 0 = -55*m + 60*m - 2*v - 328. Calculate the remainder when m is divided by 34.
32
Suppose 2*q - 3*l - 348 = 0, q + 4*l = 147 + 38. What is the remainder when q is divided by 8?
1
Suppose -2*j = -5*j + 15, -2*j = -2*l + 48. Suppose o - 6*o = 5*d - 160, -90 = -3*o - d. Let x = o + -21. Calculate the remainder when l is divided by x.
5
Suppose -5*x + 10 = -5. Suppose x*p + m = 70, -p + 58 = 2*p - 2*m. Suppose p = r + 5. Calculate the remainder when r is divided by 4.
1
Suppose 190 = 5*u + 5*a, -u - 7*a + 2*a + 46 = 0. Calculate the remainder when u is divided by 10.
6
Suppose -6*f + 7 = -5. Calculate the remainder when 89 is divided by (f - 40/(-3))*(-3)/(-2).
20
Let k = -284 - -312. Calculate the remainder when 68 is divided by k.
12
Suppose -460 = -5*i - 100. What is the remainder when 232 is divided by i?
16
Let v(j) = j**3 - 2*j**2 - 6*j. Suppose 21 = 6*d - 9. What is the remainder when 89 is divided by v(d)?
44
Suppose 4*z + 8 = z + 4*y, -5*z + 5*y = 5. Suppose 13*o - 144 = z*o. What is the remainder when 76 is divided by o?
12
Suppose 2*v - 410 = -4*r, -4*v = -r - 2*v + 110. Calculate the remainder when r is divided by 9.
5
Let m = 8 - 6. Suppose 21 = m*q + 3*l, 4*q - 5*l = q - 16. Let n(a) = 2*a**3 - 4*a**2 + 2*a - 2. Calculate the remainder when n(q) is divided by 12.
10
Let x = -31 - -30. Let h be (12/x)/(1 + 0). Calculate the remainder when (-544)/(-7) - h/42 is divided by 20.
18
Suppose 5*x - 20 = x. Suppose 0*o + 461 = 5*t + 3*o, -x*t = 2*o - 459. Let d(y) = 2*y**2 + y + 23. Calculate the remainder when t is divided by d(0).
22
Let t = 95 - 57. Calculate the remainder when 341 is divided by t.
37
Suppose -7*j + 957 = 19. What is the remainder when j is divided by 46?
42
Suppose 2*q = -k + 1, 1 - 16 = 3*k - 3*q. Suppose -5*s - j = -73, -2*s - 5*j + 22 - 2 = 0. Let a = k + s. Calculate the remainder when 35 is divided by a.
11
Let m = -54 + 65. Suppose 5*c - 45 - m = -k, 128 = 2*k + 2*c. What is the remainder when k is divided by 14?
10
Suppose 7*r - 1487 = -45. What is the remainder when r is divided by 42?
38
Suppose 3*h - h + 3*b - 175 = 0, 3*b - 92 = -h. What is the remainder when h is divided by 12?
11
Suppose 7*w - 96 = 4*w. Calculate the remainder when w is divided by -2*((-2)/(-19) - ((-790)/76 + 16)).
10
Let x(a) = -6*a - 2. Suppose -33 = -3*s - 3*p, 3*s - 5*p = 7*s - 39. Let z be (-9)/(-6)*s/(-12). What is the remainder when x(z) is divided by 6?
4
Let w = 139 + -1. Let m = -124 + w. What is the remainder when 40 is divided by m?
12
Suppose -2*s = 3 - 1. Let m(j) be the second derivative of -3*j**5/20 + j**3/6 + j**2/2 - 16*j. What is the remainder when m(s) is divided by 3?
0
Suppose -3*f = -4*c + 585, -c + 130 = -4*f - 0*f. Suppose 3*k = 4*k - 5*w - c, 12 = 3*w. Calculate the remainder when k is divided by 19.
18
Let c = 28 + -14. Let m = 79 - 76. What is the remainder when c is divided by m?
2
Suppose -4*h - c = -4*c - 868, 1085 = 5*h - 3*c. What is the remainder when h is divided by 68?
13
Suppose 0 = 4*s - 22 + 6. Suppose -s*m + 18 + 74 = 0. What is the remainder when 90 is divided by m?
21
Let f = -380 - -425. Suppose -1 + 26 = n. Let w = f - n. Calculate the remainder when w is divided by 11.
9
Suppose -x + 6 + 13 = 0. Suppose -x = -6*q - 1. Let m = -3 - -10. Calculate the remainder when m is divided by q.
1
Let w be 2/4 + 9/(-2). Let f = 16 + w. What is the remainder when 0 + 1*33 + 1 is divided by f?
10
Suppose 556 - 784 = -4*a. Calculate the remainder when 455 is divided by a.
56
Suppose 5*i - 10*i + 25 = 0. Suppose 0 = 4*u + 5*b - 3*b - 10, i*u - 5*b = 5. Calculate the remainder when 18 + -15 + 78/u is divided by 9.
6
Let i = -38 - -23. Let v be ((-166)/4)/(i/30). What is the remainder when 107 is divided by 2/(-6)*(2 - v)?
26
Let z(y) = 284*y**2 - 9*y + 9. Calculate the remainder when z(1) is divided by 19.
18
Let m = 539 + -426. What is the remainder when m is