*i + 31*k + j = 34*k, 3*k - 9 = 0. What is the remainder when 123 is divided by i?
11
Suppose -2*v = -0*v - 426. Calculate the remainder when v is divided by (-799)/(-11) + (-19820)/(-54505).
67
Let y(w) = -w**2 - 10*w - 9. Let m be y(-8). Suppose 0 = 2*p - 41 + m. Calculate the remainder when (-201)/(-5) - (-27)/15 is divided by p.
8
Let h(c) = -2*c + 52. Let g be h(24). Suppose -n + g*u = -u - 31, -109 = -4*n + 5*u. Calculate the remainder when n is divided by 3.
2
Suppose 0 = 2*s + 3*p - 55, -3*p = -13*s + 21*s - 175. What is the remainder when 97 is divided by s?
17
Let j(a) = -23 - a + 7*a - 2*a. Let f(r) = -55*r - 597. Let b be f(-11). Calculate the remainder when 23 is divided by j(b).
5
Let m(t) = 166*t - 3839. Calculate the remainder when 2505 is divided by m(25).
17
Suppose 8*y = 4*y - 24, 2*y - 1896 = -4*o. Calculate the remainder when o is divided by 41.
26
Suppose -16 = 4*d, 0*h - 2*d + 44 = 2*h. Suppose -165 = -4*f + s, 4*s - 112 = -3*f + h. Calculate the remainder when 57 is divided by f.
15
Suppose h - 4 + 8 = 0. Let y be 8 + -1 + 0 - h. Let s(o) = -o**3 + 10*o**2 + 13*o - 15. Calculate the remainder when 17 is divided by s(y).
3
Let d(v) be the third derivative of 11*v**4/8 - 68*v**3/3 + 166*v**2. What is the remainder when 115 is divided by d(5)?
28
Let h(a) = -a**3 + 7*a + 4. Suppose 127*m = -869*m + 19920. Calculate the remainder when h(-7) is divided by m.
18
Suppose -3*l - 2*h = -32, -h = 5*l - 0*l - 58. Suppose 4*m + l = i + 1, -3*i + 33 = -m. Let t = -14 + 57. Calculate the remainder when t is divided by i.
10
Let y = 4245 - 3567. What is the remainder when y is divided by 68?
66
Let r = 47 - 43. Let n(j) = -7 - 5*j**2 - 11*j + 1 + r*j**2. What is the remainder when 195 is divided by n(-4)?
19
Suppose 2628 = 3*s - 2*z - 530, -4*z = -5*s + 5262. Let y = -711 + s. Suppose -6*g + y = -77. Calculate the remainder when g is divided by 6.
4
Let q(x) = -136*x + 372. Calculate the remainder when q(-91) is divided by 61.
60
Suppose -x + 5 = -2*v, -v + 31 - 37 = -4*x. Calculate the remainder when (-3060)/(-126) + v/7 is divided by 6.
0
Let y(n) = 4*n**2 - 304*n - 917. Let t(u) = -u**3 + u**2 + 2*u + 2. Calculate the remainder when y(-3) is divided by t(-2).
1
Let p = 3416 - -1697. Calculate the remainder when 5116 is divided by p.
3
Let j = -1721 - -1904. What is the remainder when 5304 is divided by j?
180
Let t(k) = 226*k**2 - 35*k - 71. Calculate the remainder when t(-2) is divided by 57.
48
Let p = 9 - 4. Suppose 4*f = -f + 2*u + 660, -3*f + 370 = 4*u. Suppose 3*y + f - 151 = 0. What is the remainder when y is divided by p?
2
Let q(c) = c**2 + 7*c + 7. Let i(n) = -3*n + 12. Let k be i(7). Calculate the remainder when q(k) is divided by 12*(-1 + (-5)/(-3)).
1
Calculate the remainder when 18 is divided by (-3)/(-1) + (68 - 63).
2
Suppose 10 = 5*s - 90. Suppose 192*f - 194*f + s = 0. Suppose 2*p - 40 = 56. What is the remainder when p is divided by f?
8
Let y be 2 + ((-247)/1 - 2). Let o = -116 - y. What is the remainder when o is divided by 33?
32
Suppose -i + 58 = -5*l, 2*l = 2*i + 6*l - 32. Calculate the remainder when 213 is divided by i.
17
Suppose -7*g - 162*g + 109343 = 0. What is the remainder when g is divided by 26?
23
Let s = -26 + 55. Suppose 90 = 24*l - 9*l. Let p(m) = 2*m**2 + 20*m - 78. What is the remainder when p(l) is divided by s?
27
Let h be 1/(0 - (2 - 44/20)). Suppose 0*p - 5*p = -h*j + 555, 0 = 2*p. Calculate the remainder when j is divided by 20.
11
Let m = -8638 - -8731. What is the remainder when 7995 is divided by m?
90
Let l(t) = 59*t**2 + 1091*t - 26. What is the remainder when l(-19) is divided by 189?
166
Let b be (1 + 2)*1 - (-3073)/7. Let f = b - 277. Suppose 0 = 13*g - 2*g - f. Calculate the remainder when 42 is divided by g.
12
Suppose -4*a = 2*f + 58, 4*f - 3*a + 5*a = -92. Let h = -17 - f. Suppose 0 = -3*r, -2*r + 32 = 3*g - h. What is the remainder when 59 is divided by g?
11
Let n(c) = 57*c + 2504. What is the remainder when n(-30) is divided by 93?
50
Let i = -5800 + 6284. What is the remainder when i is divided by 69?
1
Suppose 310 - 2366 - 1571 = -31*m. Calculate the remainder when 139 is divided by m.
22
Suppose -4*t - 4*r + 20 = 0, 3*t - 4*r + 10 - 4 = 0. Suppose t*y - 473 + 391 = 0. Calculate the remainder when y is divided by 21.
20
Let o(q) = -9*q + 19. Let w be o(2). What is the remainder when 125 is divided by 4/2*w*(-1 - -17)?
29
Suppose 15*n = -7*n - 156 + 3258. Suppose 2*q + 3 = -5*s - 0, 4*s = -q - 9. What is the remainder when n is divided by q?
9
Let m(j) = 15*j - 5. Suppose -7 = 3*n - 13. Let k be m(n). Let l = k - 11. Calculate the remainder when 26 is divided by l.
12
Let k(q) = 62*q + 188. Let g be k(-19). Let c = -913 - g. Suppose 3*d = 12, 8*f - 30 = 3*f + 5*d. What is the remainder when c is divided by f?
7
Suppose -465 = 4*v - 97. Let d = v + 94. Let u(l) = 4*l**3 + l - 2. What is the remainder when 59 is divided by u(d)?
27
Let u(j) = -1236*j + 5799. What is the remainder when u(4) is divided by 36?
27
Let w(c) = -c**3 - 5*c**2 - 3*c + 1. Let n = 64 - 58. What is the remainder when 1/(-1)*(n - 50 - -3) is divided by w(-5)?
9
Let b = 1202 - 873. Suppose 555 = 10*a + 5. Calculate the remainder when b is divided by a.
54
What is the remainder when 5/(85/(-51)) - -2434 is divided by 64?
63
Let y(t) be the third derivative of t**6/120 - 13*t**5/60 + t**4/2 + 19*t**3/6 + 27*t**2. What is the remainder when 394 is divided by y(12)?
14
Let w = -90 + 4. Let q = w + 124. Calculate the remainder when 377 is divided by q.
35
Let p(s) = 8*s - 70. Suppose 6*y - 4*y + 4*b = 4, 2*y = 2*b + 34. Let m(g) = 3*g - 6. What is the remainder when p(y) is divided by m(7)?
11
Suppose -18*j = -8*j + 10. Let f be 1/(j + 4/3). Suppose -3*z - 3 = -3*o - 42, -f*z - 2*o + 29 = 0. Calculate the remainder when 41 is divided by z.
8
Let p(f) be the second derivative of 5*f**4/6 - 5*f**3/2 - 6*f**2 + 28*f. Let t be p(6). Let w = 386 - t. Calculate the remainder when w is divided by 26.
24
Suppose 0 = -7*y + 4*y + 1758. Suppose 0 = 3*w - 5*l - y, 2 = 2*l + 6. What is the remainder when w is divided by 13?
10
Let h = -2547 - -2587. What is the remainder when 270 is divided by h?
30
Suppose -3*w = t + w + 406, 0 = w. Let k = -284 - t. What is the remainder when k is divided by 18?
14
Let x(s) = 13*s**3 + s**2 - 3*s + 1. Let j(h) = -41*h - 26. Let v be j(-2). Calculate the remainder when x(2) is divided by 1395/40 - (-7)/v.
33
Let s(t) = 1. Let u(w) = 11*w + 55. Let z(f) = -5*s(f) + u(f). Let m be z(5). Let k = 144 - m. What is the remainder when k is divided by 14?
11
Let p be ((-63)/(-105))/(2/10). Suppose 7*k - 128 = p*k. Calculate the remainder when ((-45)/10 - 0)*14*-2 is divided by k.
30
Let x(w) = 7*w + 3. Let l be x(0). Suppose -l*g + 3*y + 249 = 0, -2*g - y + 2 = -149. Let i = -74 + g. Calculate the remainder when 15 is divided by i.
3
Let l be 10/(-8)*(-17 - -13). Suppose 3 = j - u - 31, -62 = -3*j - l*u. Suppose -114 = 2*v - 3*v. What is the remainder when v is divided by j?
27
Suppose -9*n + 6*n = -13*n + 5430. What is the remainder when n is divided by 182?
179
Let k = -19 - -21. Suppose 4*z + 2*c = 386 + 570, c - k = 0. What is the remainder when z is divided by 12?
10
Let h(y) = 20*y**2 + 73*y - 534. What is the remainder when h(7) is divided by 10?
7
Suppose 3*f + 4*n + 5 = 0, -3*f - n + 20 = 2*f. Let d be 1 - (4 + (2 - -1 - 2)). Calculate the remainder when f is divided by (1/d)/(-2 - 60/(-32)).
1
Let i = -77507 - -77560. Let z = -740 + 1055. Calculate the remainder when z is divided by i.
50
Let y = -48 - -8. Let a = y - -29. Let s = 9 - a. What is the remainder when 31 is divided by s?
11
Suppose 5340*k - 2072 = 5326*k. What is the remainder when k is divided by 82?
66
Suppose -d + d = -5*d. Suppose d*i + 1228 = 2*i. Suppose -5*c + i = -81. Calculate the remainder when c is divided by 35.
34
Suppose -l = -5*w + 7, 21 = 2*l + 9*w - 12*w. What is the remainder when 303 is divided by l?
15
What is the remainder when (-1116)/3*6*2/(-24) is divided by 67?
52
Let q(a) = 24*a - 9 + 96 - 31*a. What is the remainder when 15 is divided by q(12)?
0
Suppose -14*x - 6*x + 6*x + 8022 = 0. What is the remainder when x is divided by 40?
13
Let p(r) = -r**3 - 7*r**2 + r - 5. Let s be p(-5). Let c 