Suppose -38*k = -1584 - 1076. What is the remainder when k is divided by 30?
10
Suppose -4*h + 414*y = 413*y - 29, 3*h = y + 22. Let s(u) = 27*u**2 - 2*u - 1. Calculate the remainder when s(2) is divided by h.
5
Suppose -17*u = -16*u + 2. Calculate the remainder when 189 is divided by (u/7)/(14/(-1176)).
21
Let b(m) = -14*m**2 + 210*m + 10. Calculate the remainder when 380 is divided by b(15).
0
Suppose 4*t + 5*a = -716, 2*t = 2*a - 208 - 150. Let f = t + 197. Let l(m) = -2*m**3 - 4*m**2 + 5. Calculate the remainder when l(-4) is divided by f.
15
Let f(c) = -8*c**2 + 18*c + 11*c - 40*c + 15 + c**3. Let m be f(9). Calculate the remainder when 54 is divided by 2*(m + (-125)/(-10)).
16
Let h(a) be the first derivative of -a**3/3 - 19*a**2/2 + 21*a + 26. Calculate the remainder when h(-11) is divided by 28.
25
Suppose -5*c = -c - 3*q - 26, -4*q = 4*c - 12. Let w(n) = n + 66. Calculate the remainder when w(c) is divided by 64.
7
Suppose 14*f = 19*f - s - 25, f = -4*s + 26. Suppose 0 = -0*d + d - 3. Suppose -t + 31 = m, 4*t + d*m = -t + 147. What is the remainder when t is divided by f?
3
Let w be 4/18 - (-1050)/378. What is the remainder when 50 is divided by (5 + 19 - w)/((-6)/(-4))?
8
Let x = -207 + 287. Let o = x - 74. Suppose -1 - 54 = -5*r. What is the remainder when r is divided by o?
5
Suppose 12*r = -3*z + 7*r + 10, 3*r - 7 = -2*z. Calculate the remainder when 16 - (4 + (-2)/1) is divided by z.
4
Let p be (-215)/(-2) - 6/48*-4. Suppose -111*a = -p*a - 258. What is the remainder when a is divided by 23?
17
Suppose 180 = -166*m + 233*m - 155. What is the remainder when 172 is divided by m?
2
Let o = 77 + 3. Calculate the remainder when o is divided by ((-760)/(-9))/4 - (-27 + 732/27).
17
Suppose 2*t + 11 = d, 4*t + 7 = d + 2. Let v(s) = -20*s - 226. Let q be v(-23). What is the remainder when q/8 + 147/84 is divided by d?
14
Let y(g) = g + 1. Suppose -11*b - 10 = -6*b. Let w be y(b). What is the remainder when 216/8 - w*4 is divided by 18?
13
Let s = 850 - 547. Suppose s = 5*u - 4*a, -7*u + 8*u = 5*a + 48. Calculate the remainder when u is divided by 48.
15
Suppose -11*u + 18*u + 224 = 0. Let m be u/(-6)*(-39)/(-2). Suppose -5*j + 41 = -m. What is the remainder when 56 is divided by j?
27
Suppose -65*p - 4*i = -70*p + 3061, 2*p - 4*i - 1222 = 0. Calculate the remainder when p is divided by 198.
19
Let v(p) be the first derivative of -p**4/4 + 26*p**3/3 + 33*p**2/2 - 39*p - 8. Calculate the remainder when v(27) is divided by 32.
27
Suppose 4*u - 14*u = 0. Suppose u = 5*d - 10*d. Suppose -9*r + 4*r + 350 = d. What is the remainder when r is divided by 12?
10
Let b(h) = -5*h**3 - 2*h**2 + h - 1. Let v(c) = 156*c - 1201. What is the remainder when v(8) is divided by b(-2)?
18
Let d(j) = -4*j**2 + 85*j - 67. What is the remainder when d(19) is divided by 61?
43
Let x(j) = -18*j**3 - j**2 + j + 1. Let i(h) = -3*h - 4. Let o be i(-1). Calculate the remainder when 2*23 - -1 - -1 is divided by x(o).
14
Let u(t) = -t**3 + 90*t**2 - 657*t + 136. What is the remainder when 1069 is divided by u(82)?
43
Let i = -170 + 206. Calculate the remainder when i is divided by (-4)/(-6) + (3 - 50/(-15)).
1
Suppose -90*w + 89*w - 2*j + 43 = 0, -4*w + 172 = -3*j. What is the remainder when 427 is divided by w?
40
Suppose -5*y - 65*u + 68*u = -191, 3*u = 6*y - 231. Suppose 1066 = 3*c - 1208. Calculate the remainder when c is divided by y.
38
Let w = 57 + -55. Let z(i) = 45*i + 4. Let y be z(w). Let n = y + -11. Calculate the remainder when n is divided by 12.
11
Let c = -114 + 120. Calculate the remainder when (4 - c)*(-66)/4 is divided by 14.
5
Let a = 62 + -37. Suppose 0 = 18*d - 19*d - a. Let x = d - -74. Calculate the remainder when x is divided by 25.
24
Let f(l) be the third derivative of l**4/24 - 19*l**3/6 - 122*l**2. What is the remainder when 29 is divided by f(36)?
12
Let p = -1811 - -1838. Calculate the remainder when 1563 is divided by p.
24
Calculate the remainder when 84 is divided by (5/(-6))/(2/(-84)).
14
Let w = -30 - -49. Let d(r) be the third derivative of -19*r**4/24 - 2*r**3/3 - 14*r**2 - r. Calculate the remainder when d(-5) is divided by w.
15
Suppose 0 = -i - 4*r - 5, 3*i + 3*r + 1 = -2*r. Suppose -3*h - 36 = -39, -i*h = t - 30. Calculate the remainder when t is divided by 17.
10
Let b = -6124 + 6710. Calculate the remainder when b is divided by 107.
51
Let o(y) be the first derivative of 3*y**2/2 + 56*y + 5. What is the remainder when o(-12) is divided by 12?
8
Let s(q) = q**2 + 7*q + 1. Let y(w) = -w**3 - w**2 + 8. Let b be y(0). Suppose 10*i - 485 = -45*i + 890. What is the remainder when s(b) is divided by i?
21
Suppose 0 = 139*d - 3510 - 1216. Calculate the remainder when 4223 is divided by d.
7
Let h(m) = 744*m - 5091. What is the remainder when 892 is divided by h(7)?
73
Suppose 3*r - 525 - 225 = 5*v, -v = -2*r + 514. What is the remainder when r is divided by 260?
0
Let o(c) = 3*c**3 + c**2 - 3*c - 5. Let k be o(7). Suppose 3*z = 0, 5*w - k = -z - 397. Calculate the remainder when w is divided by 33.
32
Suppose -2*n - b + 25 = 0, 0*n - 5*n + 4*b + 4 = 0. What is the remainder when 8134 is divided by n?
6
Calculate the remainder when -18 + (61 - (-18 - -6)) is divided by 53.
2
Let a = 839 - 574. What is the remainder when a is divided by 88?
1
Suppose -x + 1 = c - 4, -c + x = 1. Suppose c*l + 3*t = 274 - 87, -l = 2*t - 94. Calculate the remainder when l is divided by 31.
30
What is the remainder when -525*-6*(-1690)/(-156) is divided by 27?
24
Let f = -63185 - -63248. Let q = -59 - -95. Calculate the remainder when f is divided by q.
27
Suppose 1468 - 3112 = -12*n. What is the remainder when 595 is divided by n?
47
Calculate the remainder when ((-7211210)/(-1457))/10 + (-2)/(-31) is divided by 166.
163
Let m = -6750 + 6756. Suppose -2*s + 53 = 5*w - 39, w + 4*s - 22 = 0. What is the remainder when w is divided by m?
0
Let n(i) = 2*i**2 + 6*i - 251. Calculate the remainder when 508 is divided by n(10).
4
Suppose 3*f + 140 = 26. Let x = f - -48. What is the remainder when 27 is divided by x?
7
Let j = 20 - 20. Suppose j = -5*k - 4*o + 10, -k + 13 + 8 = -3*o. Let u(l) = l**3 - 5*l**2 - l - 9. Calculate the remainder when 102 is divided by u(k).
18
Suppose 19*v = -380*v + 4389. Calculate the remainder when 3966 is divided by v.
6
Let d(f) be the second derivative of -f**5/20 + 3*f**4/4 - 5*f**3/6 + 3*f**2/2 - 170*f. Calculate the remainder when 159 is divided by d(8).
24
Suppose 4 = -5*p + 8*p + 5*u, -8 = -3*p - u. Calculate the remainder when 5 is divided by 2/(4/(p*2/1)).
2
Let v(u) = 93*u**3 - 2*u + 1. What is the remainder when v(1) is divided by (-6)/(-10) + 16008/345?
45
Suppose -32*q + 5*q + 1107 = 0. Calculate the remainder when 368 is divided by q.
40
Suppose -2*z + 51 = 3*l + 9, l = 2*z + 14. Calculate the remainder when 25 + 60 + (-18 - 7) is divided by l.
4
Suppose 23 = -17*o + 18*o + 4*z, -4*o + z = -24. Suppose 156 = p + 3*p. Let r = -20 + p. Calculate the remainder when r is divided by o.
5
Suppose -n = 2*i - 144, -54 = 5*n - 34. What is the remainder when 3994 is divided by i?
72
Suppose 5*u + 968 - 985 = p, -3*u + 23 = p. What is the remainder when 215 is divided by p?
7
Let g(q) = -161*q + 300. What is the remainder when g(1) is divided by 7?
6
Suppose 0 = -7*y - 0*y + 336. Let i = 76 + 56. Suppose 2*m + 4*c = y, -2*m = -7*m - 4*c + i. Calculate the remainder when 111 is divided by m.
27
Let v(m) be the second derivative of m**4/4 + 11*m**3/6 - 16*m**2 + 12*m - 2. What is the remainder when 101 is divided by v(3)?
17
Let b(f) = -6*f - 46. Let d be b(-9). Let j(a) = -12 + 0*a - d*a**2 - 2*a**2 + 12*a + 11*a**2. Calculate the remainder when j(-14) is divided by 2.
0
Suppose -2580 = -11*i - 963. Let a = i + -121. What is the remainder when a is divided by 14?
12
Let x = 2889 - 1542. Calculate the remainder when x is divided by 33.
27
Calculate the remainder when 516 is divided by 1796365/7299 + 8/9 + -1.
24
Let z be -3 + 3/(111/(-57) - -2). Suppose -g - z = -2*i, 0*g = 4*i + 5*g - 108. What is the remainder when -3 + 5 + 77 + 0 is divided by i?
25
What is the remainder when ((-369)/12)/((-33)/3740) is divided by 109?
106
Let u = 6234 - 5961. What is the remainder when u is divided by 31?
25
Suppose 0 = -5*n + u + 55, 4*n 