en h is divided by 5 + -1 + 2 + -2.
1
Let y = -42 + 42. Suppose -4*x - 148 = -2*n, y*n = 4*n - x - 268. What is the remainder when n is divided by 23?
20
Suppose -p - 3 = 3*j, -3*p = -3*j - 29 + 2. Calculate the remainder when 11 is divided by p.
5
Suppose -24*j = j - 46850. What is the remainder when j is divided by 14?
12
Let v be -5*2/(-50) + (-46)/5. Calculate the remainder when 58 is divided by (-183)/v + (1/(-3))/1.
18
Suppose 0 = 4*w - 8*w + 72. Calculate the remainder when 21 is divided by ((-22)/(-3))/(12/w).
10
Let z(p) = p**3 + 24*p**2 - 257*p + 14. Calculate the remainder when -3 - -2 - 40/(-1) is divided by z(8).
3
Let c(x) be the first derivative of x**3/3 - 5*x**2 + 14*x - 2. Let n = -254 + 266. What is the remainder when c(n) is divided by 14?
10
Let f(p) = -p**3 - 16*p**2 - 14*p + 12. Let q be f(-14). Let r = q - -324. What is the remainder when r is divided by 36?
32
Let t(p) = 5*p - 2. Let n be t(2). Suppose 0 = 3*l + o - 31 + n, 0 = -5*l + o + 25. What is the remainder when 16 is divided by l?
4
Suppose 4*v + 13 = -2*l + 5*l, -4*l + 5*v + 17 = 0. Suppose -l*g + 82 = -5*g. Let y = -29 - g. What is the remainder when 21 is divided by y?
9
Suppose 5*o + 119 = 314. What is the remainder when o/(-52) - 406/(-8) is divided by 13?
11
Suppose -2 = -f + 20. Calculate the remainder when 71 is divided by f.
5
Suppose 0 = 3*j - 13 + 10. What is the remainder when 5 is divided by j?
0
Suppose -1305 = 1150*x - 1159*x. What is the remainder when x is divided by 49?
47
Suppose -5*v = -0*h + h - 41, -h + 25 = 3*v. Suppose 9 - 45 = -4*a. Calculate the remainder when ((-4)/v + 3)*6 is divided by a.
6
What is the remainder when 32 + -3 + 4 + -8 is divided by 2?
1
Let l = -39 + 75. Calculate the remainder when l is divided by (-1)/3 + 62/6.
6
Let o(n) = 17*n + 5. Calculate the remainder when o(5) is divided by 7.
6
Let d = 105 + -52. Let b = 30 - 34. Let l = b - -15. What is the remainder when d is divided by l?
9
Let f = -37 - -52. Suppose 9*b = 558 + 225. What is the remainder when b is divided by f?
12
Suppose -2*p - 2*j + 94 = 0, -24 + 283 = 5*p - 3*j. Suppose -o - z + 21 = 0, 10*o = 5*o + z + 87. What is the remainder when p is divided by o?
14
Let m(h) = -5*h**3 - 25*h**2 + 3*h + 8. Let d(n) = 4*n**3 + 24*n**2 - 2*n - 9. Let q(p) = -4*d(p) - 3*m(p). What is the remainder when q(-21) is divided by 18?
15
Let i be (-5 - -6)*(-2 + 0 - -1). Let c(u) = 69*u**2 + 2*u + 3. What is the remainder when c(i) is divided by 18?
16
Suppose 1632 = -0*r + 24*r. Calculate the remainder when r is divided by 26.
16
Suppose -36*n = -53*n + 238. What is the remainder when 53 is divided by n?
11
Let h(b) = -b**3 - 14*b**2 - 16*b - 5. Let a(n) = -n**3 + 8*n**2 - 6*n + 9. Let c be a(7). Let s = c - 29. What is the remainder when h(s) is divided by 7?
6
Suppose -6*m = -17*m + 176. What is the remainder when 315 is divided by m?
11
Suppose -5*t = -18*f + 21*f - 506, t + 890 = 5*f. What is the remainder when f is divided by 45?
42
Suppose 36 - 4 = 4*r. Let b be -3 - -2*20/r. Suppose -2*p + 4*w = -4, 7 = p + 5*w - b*w. What is the remainder when 6 is divided by p?
2
Suppose -12*z + 3*z + 252 = 0. Calculate the remainder when 977 is divided by z.
25
Suppose 10*y - 1400 = 250. Suppose -7*t - 122 = -z - 4*t, 4*z = 5*t + 460. Let c = y - z. Calculate the remainder when c is divided by 14.
13
Let c = 483 - 206. What is the remainder when c is divided by 10?
7
What is the remainder when 702 is divided by (1/(-3))/(42/(-4662))?
36
Let k(x) = 3*x**2 + 10*x + 6. Suppose 5*t - 3*z - 67 = -0, -5*z = 2*t - 2. Calculate the remainder when k(-6) is divided by t.
10
Suppose -36 = -4*f - 3*g, 5*f - 33 - 12 = -g. Calculate the remainder when (-230)/(-5) - (0 + 3) is divided by f.
7
Suppose 65 = 11*t - 45. What is the remainder when 25 is divided by t?
5
Let x = 218 - 95. What is the remainder when x is divided by 26?
19
Let g(b) = -b - 2. Let f be g(0). Let z = -250 - -202. What is the remainder when (-3)/f*(-64)/z is divided by 1?
0
Suppose -4*s - 7 - 41 = 4*x, 5*s - 90 = 5*x. Suppose 15 = -5*o - 5*p + 45, -3*o = p - 12. What is the remainder when 3/((-36)/8)*x is divided by o?
1
Let q(a) = a**3 + 14*a**2 + 38*a - 13. Calculate the remainder when q(-9) is divided by 48.
2
What is the remainder when 302 is divided by 10/((-4)/(-2)) + 46?
47
Let n(j) = j**3 - 11*j**2 + 11*j + 12. Suppose 3*z + 2 = 4*k + 28, 2*k - 2 = 0. Calculate the remainder when n(z) is divided by -15*2*(-4)/10.
10
Let h = -5 - -9. Let p(x) = x**3 - 6*x**2 - 25*x - 8. Let o = -115 - -124. What is the remainder when p(o) is divided by h?
2
Let r be (-189)/(-18) - 1/2. Let b = -68 + 79. What is the remainder when b is divided by 14/35 + 36/r?
3
Let n(g) = -4*g + 5*g - 8*g + g**2. Suppose -h = 5*z - 9, -203 = -5*h - 4*z - 53. Calculate the remainder when h is divided by n(9).
16
Let p(x) be the second derivative of -x**3/3 - 8*x**2 + 14*x. What is the remainder when 110 is divided by p(-16)?
14
Let n be -4 + 1 - (-20)/5. Calculate the remainder when 38 + n + 2/(-1) is divided by 20.
17
Let u(r) = 39*r - 4. Let p(v) = v**2 - 2*v + 2. Let s be p(4). Suppose 4*x = -x + s. Calculate the remainder when u(x) is divided by 19.
17
Suppose 3*o - 41 = -5*w, 0*w + 4 = w + 2*o. Calculate the remainder when 188 is divided by w.
8
What is the remainder when (11 + 1)/(4/6) is divided by -3*16/(-216) + (-43)/(-9)?
3
Suppose -3*s - 4*m = -242, 434 = -4*s + 9*s - m. Calculate the remainder when s is divided by 11.
9
Calculate the remainder when (496/(-40))/(4/(-30)) is divided by 14.
9
Let h = -71 + 122. Suppose 25*p - h = 24*p. What is the remainder when p is divided by 20?
11
Let b(m) = -m**2 + 11*m + 12. Calculate the remainder when 140 is divided by b(11).
8
Suppose -3*w - 5*z = -98, 4*w = -5*z + 96 + 33. Calculate the remainder when 42 is divided by w.
11
Let q = 3139 - 3130. What is the remainder when 136 is divided by q?
1
Suppose -5*s - 5*b = -6*b - 970, -2*s - 8*b + 430 = 0. Calculate the remainder when s is divided by 48 - (-1 + 0)*1.
48
Let i(u) = 7*u**2 + 4*u + 13. What is the remainder when 127 is divided by i(-2)?
28
Suppose 20*r = -4*t + 15*r + 122, 0 = 2*t - 4*r - 74. Calculate the remainder when 100 is divided by t.
1
Suppose 31*h - 8173 - 4072 = 0. Calculate the remainder when h is divided by 44.
43
Suppose 10 + 33 = -3*f - j, -3*f + j - 41 = 0. Let h = 55 + f. Calculate the remainder when h is divided by 14.
13
Suppose -4*d + 1 - 11 = -2*w, -2*d = 0. What is the remainder when 9 is divided by w?
4
Let p = 7 - 3. Suppose 3*x = p*x. Suppose 5*o + 5*f - 295 = x, 5*o - 93 = 5*f + 242. Calculate the remainder when o is divided by 16.
15
Suppose 69*r - 64*r = 505. Suppose 5 = -2*q + 47. What is the remainder when r is divided by q?
17
Let d(k) = -12*k + 8. Let x be d(-5). Let t = x + -26. What is the remainder when t is divided by 15?
12
Let p = 16 - 13. Suppose -p*b - 4*i = -0*i - 50, i + 5 = b. Calculate the remainder when 29 is divided by b.
9
Suppose -2893 + 2620 = -13*d. What is the remainder when 1846 is divided by d?
19
Let i(b) be the first derivative of b**3/3 - 5*b**2 + 17*b + 48. Calculate the remainder when i(12) is divided by 7.
6
Suppose 2*y - 4*g - 1 = g, 0 = -3*y + 5*g - 1. Let w = 513 - 289. Calculate the remainder when 55 is divided by (w/(-12))/(y/3).
27
Let l(f) = 10*f**2 - 5*f - 2. Calculate the remainder when 86 is divided by l(-1).
8
Let d(q) = -5 - 11 + 2 + 2*q. Calculate the remainder when d(16) is divided by 11.
7
Let h = 139 + -94. Suppose -2*g - 17 = -h. Let o(r) = -r**3 + 11*r**2 - 6*r + 12. What is the remainder when o(10) is divided by g?
10
Let k = 240 - 75. What is the remainder when k is divided by 28?
25
Let t = 255 - 144. What is the remainder when t is divided by 19?
16
Let y(d) be the third derivative of 7*d**6/120 + d**5/60 - 3*d**2. Calculate the remainder when y(1) is divided by 2.
0
Let h = -369 - -394. What is the remainder when h is divided by 19?
6
Let h be (2/(-5))/(1/(-10)). Let k be ((-14)/21)/((-4)/42). Suppose -20 = -h*d, 2*q + k*d = 4*d + 205. Calculate the remainder when q is divided by 32.
31
Suppose -322 = 13*g - 2324. What is the remainder when g is divided by 23?
16
Calculate the remainder when 81 is divided by (121 - -3)*(-4)/(-16).
19
Let q(f) = 14*f**3 - f**2