
0
Let z = 36 + -21. Suppose 0 = -20*t + z*t + 25. Let l(x) = x**2 + 13*x + 52. Calculate the remainder when l(-9) is divided by t.
1
Let i(w) = -17*w**3 - 3*w**2 - 3*w - 4. Let t be i(-2). What is the remainder when 14 - (-1 + -1 + 1) is divided by (4 + 52/(-12))/((-7)/t)?
3
Suppose 0 = -3*o - 3*z + 1911, o + 0*z = -3*z + 627. Let m = 721 - o. Calculate the remainder when 307 is divided by m.
70
Let p = 257 - 24. Suppose -3*l + 177 = -5*o, -5*l + 56 + 191 = -3*o. What is the remainder when p is divided by l?
13
Let l = -4293 - -5570. What is the remainder when l is divided by 2?
1
Suppose 184*t - 309*t + 254125 = 0. Calculate the remainder when t is divided by 1014.
5
What is the remainder when -3 - -185 - (-24)/32*4 is divided by 15?
5
Let l = -97 + 100. Suppose l*w = 0, -3*q + 6*q + 5*w = 114. Calculate the remainder when 107 is divided by q.
31
Suppose -4 = -0*i + 4*i, 5*a = 5*i + 915. Let v = a - 125. Calculate the remainder when v is divided by (-11 - -1)*45/(-30).
12
Suppose 6407 = 21*m - 1762. Calculate the remainder when m is divided by 5.
4
Calculate the remainder when 66206/266 + ((-55)/19 - -3) is divided by 44.
29
Let f be -2*(-6)/4*64/6. Suppose -9*t = -t - f. Suppose 0 = -t*w + 5*p + 268, 3*p + 2*p = -5*w + 335. Calculate the remainder when w is divided by 5.
2
Let w = 22 + 2. Suppose -w = -20*i + 14*i. What is the remainder when 19 is divided by i?
3
Let k(y) = -y**3 + 49*y**2 + 152*y + 350. Calculate the remainder when 421 is divided by k(52).
137
Suppose -3*z = -4*d + 76, d + z + 36 = 3*d. Suppose 2*m + 6 = 5*j + d, 0 = -4*m - 2*j + 44. Calculate the remainder when 47 is divided by m.
7
Let u be 15/9 + (-2)/3. Let r(f) = 107*f**2 - 1. Let t be r(u). Let y = t - 29. Calculate the remainder when y is divided by 28.
21
What is the remainder when 1127 is divided by (-492)/(-15) - (7 + 341/(-55))?
7
Let x(p) = 6*p**3 - 21*p**2 + 35*p - 10. Let g(w) = -3*w**3 + 10*w**2 - 17*w + 5. Let q(f) = -9*g(f) - 4*x(f). What is the remainder when q(4) is divided by 42?
17
Suppose -54*c + 15392 = 310*c - 26104. Calculate the remainder when 794 is divided by c.
110
Let b = 29 + 13. What is the remainder when (1 + 0)/((-5)/(-815)) is divided by b?
37
Suppose 25*b = 29*b - 12. Suppose 2*c = 7*c + 3*w - 68, 4*w = -b*c + 43. What is the remainder when c is divided by 7?
6
Suppose -3*c + 10 = -2*c. Suppose 61*n = -5*o + 57*n + 783, -3 = n. What is the remainder when o is divided by c?
9
Let l(j) = -j**3 + 4*j**2 + 6*j - 3. Let x be l(4). Suppose -461*r = -442*r - 171. What is the remainder when 10 is divided by (3/r)/(1/x)?
3
Suppose 2*a = 15*a + 104. Calculate the remainder when 66 is divided by (((-9)/(-3))/9)/(a/(-672)).
10
Let w be 598/8 - (-14)/56. Suppose -5*a - 45 = -3*i, 5*i + 6*a = 7*a + w. What is the remainder when 22 is divided by i?
7
Let l(a) = 4*a**2 + 7*a - 3. Let n(p) = 2*p**2 + 32*p + 26. Let d be n(-15). Suppose 0 = 4*z - 13 - 7. What is the remainder when l(d) is divided by z?
3
What is the remainder when -8*2/(8/(-5109)) is divided by 38?
34
Suppose 0 = x + x + 2*z - 6, -2*x + 4*z = 0. Suppose 3*r - 69 + 185 = x*s, 4*r = 2*s - 112. Let t = -66 - -79. Calculate the remainder when s is divided by t.
12
Let k(w) = -2*w - 1. Calculate the remainder when k(-6) is divided by (102/(-2295)*30)/(-1 - (-14)/18).
5
Let s(v) = 80*v**2 - 5*v - 3. Let l be s(-1). Suppose -4*m + l = -2*m. What is the remainder when 122 is divided by m?
40
Suppose 7*u = 275 + 250. Let o(s) = -s**3 - s**2 + 12*s + 29. Calculate the remainder when u is divided by o(0).
17
Suppose -5*k + 84*x = 85*x - 1021, 0 = -k + 4*x + 221. What is the remainder when k is divided by 57?
34
Suppose 0*p - 81 = -3*p. Suppose 16 = 2*n - 3*m - m, 3*m + p = 4*n. Let g(r) = 2*r**2 - 50*r - 163. Calculate the remainder when n is divided by g(-3).
1
Let p be (-1)/((-57)/(-8) + -4 + -3). Let x(w) = -w**3 - 6*w**2 + 13*w + 1. What is the remainder when 164 is divided by x(p)?
14
Let r = 2612 + -2483. Calculate the remainder when 1801 is divided by r.
124
Let m = 1754 - 1698. What is the remainder when 137 is divided by m?
25
Suppose 510 + 184 + 338 = 4*l. What is the remainder when 434 is divided by l?
176
Suppose 3*q - 5*b = 392, -4*q + 570 - 50 = -4*b. What is the remainder when 401 is divided by q?
14
Let n(b) = -b**3 - 6*b**2 + 12*b - 11. Let w be 9/((-162)/(-96))*(-3)/2. Calculate the remainder when n(w) is divided by 1.
0
Suppose 117*a - 1328 - 709 = -48. Suppose -w + 7 - 1 = 0. What is the remainder when a is divided by w?
5
Let p = -10204 - -10275. Calculate the remainder when p is divided by 19.
14
Let o be 146 - ((0 - (1 + 2)) + -1). Let v = o + -123. Suppose -2*p - 2*q = -0*p - 24, -4*p = 3*q - 46. What is the remainder when v is divided by p?
7
Let g be (-9)/(27/48)*3. Let z = g + 53. Suppose 5*q = 3*b + 2, z*q - q = 4*b. What is the remainder when 4 is divided by q?
0
Let x = 22 - 17. Suppose -2*s + 6 = u, 15 = -9*s + 4*s + x*u. Calculate the remainder when -6*((-207)/6 - s) is divided by 43.
41
Let k(s) = 37*s**3 + s - 1. Let t be -2 - -1 - (0 - 2). Let y = -66158 + 66180. Calculate the remainder when k(t) is divided by y.
15
Let q = -6 - -4. Let t(h) be the first derivative of h**2/2 + 6*h - 83. Calculate the remainder when 8 is divided by t(q).
0
Let c(a) = a**2 - 21*a + 96. What is the remainder when c(19) is divided by (1 - (-129)/9) + (-4)/12?
13
Let s = 678 - 584. Suppose -459*x = -460*x + s. Calculate the remainder when x is divided by 26.
16
Suppose -314*i = -3*z - 309*i + 872, 2*i - 928 = -3*z. Calculate the remainder when 1227 is divided by z.
11
Let w = 1292 - 1967. Let s = 703 + w. What is the remainder when 221 is divided by s?
25
Let j(u) = 7*u - 1. Let q(t) = 5*t**2 - 10*t - 12. Let h be q(-3). Let v = 265 - h. What is the remainder when v is divided by j(5)?
32
Let p be 1/5 - 9/(-5)*-4. Let s be ((p/(-2))/(-7))/((-1)/(-2)). What is the remainder when s - 679/(-21) - 1/3 is divided by 16?
15
Suppose 2*i + 154*z - 156*z = 64, -1 = z. Calculate the remainder when 77 is divided by i.
15
Let l = 228 + -182. Let s = -44 + l. What is the remainder when 11 is divided by s?
1
Suppose 171*v - 159*v = 19020. What is the remainder when v is divided by 15?
10
Suppose 4*j - 24 = -4*j. Suppose -j*u - 5*p + 4*p = -388, 2*p + 654 = 5*u. Suppose 4*s - 114 = u. What is the remainder when s is divided by 31?
30
Suppose 290*c + z = 293*c - 393, -5*c + 669 = -4*z. Calculate the remainder when 659 is divided by c.
14
Let p = 14433 - 14077. Calculate the remainder when p is divided by 15.
11
Let u = -33 - -89. Suppose -2*l - 190 = -2*w, -10*l = 4*w - 5*l - 380. Let m = -76 + w. What is the remainder when u is divided by m?
18
Let f be 2/4 + (44/(-8))/1. Let k(q) = -q**3 + 8*q**2 + 4*q - 5. What is the remainder when k(f) is divided by 43?
42
What is the remainder when (-32)/72 - 7/((-189)/32925) is divided by 102?
97
What is the remainder when 3411/108*18*2 is divided by 273?
45
Let q(c) = -3*c**3 + 6*c**2 + 5*c - 3. Let g(k) = 9*k**3 - 18*k**2 - 17*k + 10. Let h(v) = -2*g(v) - 7*q(v). Calculate the remainder when 37 is divided by h(3).
12
Let z(m) = m**3 + 23*m**2 - 5*m - 10. Let d = 597 + -620. What is the remainder when z(d) is divided by 37?
31
Suppose 23127 + 26708 + 3715 = 238*t. Suppose -m + 312 = 3*m. Calculate the remainder when t is divided by m.
69
Calculate the remainder when 6/(-3) + 1185 - ((-17 - -28) + -10) is divided by 90.
12
Suppose -269 = -y + 4*r, -226*r = 4*y - 223*r - 1000. Calculate the remainder when 1061 is divided by y.
49
Let p be 4 + 440/77 - 2/(-7). Suppose p*y - 9 = 7*y, -3*z - 4*y = -69. What is the remainder when 200 is divided by z?
10
Calculate the remainder when 440 is divided by 58/((-406)/(-35)) + 2*29.
62
Let w be (-16)/112 - (68/14 - 0). Suppose 113 - 32 = 3*m. Calculate the remainder when -2 - w/((-5)/27)*-3 is divided by m.
25
Let d(x) = -x. Let a(v) = -13*v**2 - v. Let y(o) = -a(o) + 4*d(o). Let z be y(-3). Suppose 0 = -11*t + 39 + z. Calculate the remainder when t is divided by 4.
3
Calculate the remainder when (-342)/(-36)*(47 - 21) is divided by 23.
17
Suppose -4*f = w + 96, 0 = 3*f - 2*w - 0*w + 72. Let x be -38 + 10/(60/54). Let l = f - x. What is the remainder when l is divided by 3?
2
Let d(b) = -b**3 + 100*b**2 - 173*b - 1943. 