pose -j + 1 = -2*r, 2*j - 15 - h = -5*r. Calculate the remainder when j is divided by 4.
1
Suppose 17 + 139 = 3*p. Suppose 4*j - 3 = 3*j + 4*s, -2*s - 11 = -j. Calculate the remainder when p is divided by j.
14
Let z = -56 + 85. Let c = z - 19. Let m(y) = y**3 - 11*y**2 + 12*y - 14. Calculate the remainder when 11 is divided by m(c).
5
Suppose 0 = -8*a + 12 + 60. Let f(l) = l - 11. Let h(j) = -2*j + 22. Let m(q) = -7*f(q) - 3*h(q). Calculate the remainder when m(a) is divided by 2.
0
Suppose 0*k = 9*k. Suppose 29*w - 25*w - 96 = k. What is the remainder when w is divided by 3?
0
Let l = 174 - 168. Suppose -3*v + 0*s = -5*s - 29, -18 = -2*v + 4*s. Calculate the remainder when (-147)/2*(-10)/90*l is divided by v.
10
Let h be (0 + -3)*-2*4/12. Suppose h*l = 2*i + 32, l + i - 44 = -l. Calculate the remainder when l is divided by 12.
8
Let t = 534 - 363. Calculate the remainder when t is divided by 58.
55
Suppose 13*r = 72*r - 1121. Calculate the remainder when 63 is divided by r.
6
Suppose -w = 5*q - 13 - 0, -3*w + 96 = -4*q. Calculate the remainder when 207 is divided by w.
11
Let z = -7 - -70. Suppose 0*t - 94 = -t. Suppose 3*f = t + 5. Calculate the remainder when z is divided by f.
30
Suppose -2*u - 1368 = -5*w, 19 = 3*w + u - 793. Calculate the remainder when w is divided by 13.
12
Let i(w) = -4*w - 21. What is the remainder when 307 is divided by i(-13)?
28
Let v be (-2 + 5)*25/3. Let b = v + -10. Suppose 0 = -4*y + 2*t + 230, 6*y - t - 286 = y. Calculate the remainder when y is divided by b.
12
Let o = -6 - -17. Let k = 9 + o. Let u = k - 12. Calculate the remainder when u is divided by 5.
3
Let d(b) = -b**3 + 2*b**2 - b. Let x be d(3). Let a = x + 12. Suppose 0*i + 4*i - 28 = a. What is the remainder when 26 is divided by i?
5
Suppose a = 3*r - 3*a + 120, r - 3*a + 40 = 0. What is the remainder when (r/(-50))/(1/85) is divided by 35?
33
Let q = -63 - -143. Let k = 95 - q. Let t(x) = 4*x**2 - 2*x. What is the remainder when t(4) is divided by k?
11
Calculate the remainder when 8 + 9 + (-7)/(42/(-36)) is divided by 16.
7
Let d(o) = 3*o - 10. Let r(j) = -j**2 + 8*j - 4. Let x be r(6). Let n be d(x). Calculate the remainder when 794/14 + 4/n is divided by 20.
17
Let l(u) = 4*u - 1. Let f be l(1). Suppose -32 = -2*w - p + 5*p, f*p = -4*w + 108. Calculate the remainder when 70 is divided by w.
22
Suppose 9*v - 2*v - 399 = 0. Calculate the remainder when v is divided by 6.
3
Let c(r) = r**2 - 4*r + 2. Let z = -4 - -8. Let h be c(z). Suppose 3*j - 13 = h*j. Calculate the remainder when 36 is divided by j.
10
Suppose 112 = 4*q - 4*r, 5*q - 7*r - 128 = -8*r. Calculate the remainder when -3 + q + (4 - 1) is divided by 10.
6
Suppose 85*h = 42836 - 3566. What is the remainder when h is divided by 58?
56
Let o(m) = 2*m**3 - 23*m**2 + 11*m. Let q be o(11). Calculate the remainder when 78 - q - 27/(-9) is divided by 17.
13
Let s = -1964 + 2011. Calculate the remainder when 174 is divided by s.
33
Let l = 20 - 21. Let z(s) = -87*s**3 + s + 1. Let x be z(l). Let b = -25 + x. What is the remainder when b is divided by 21?
20
Let s = -46 - -87. Suppose 38*l = s*l - 243. Let v(x) = -20*x + 1. What is the remainder when l is divided by v(-1)?
18
What is the remainder when (-8)/20 - (-2035)/25 is divided by 21?
18
Suppose -4 - 47 = -b. What is the remainder when b is divided by (3 - (-33)/(-9))*(-3 + -21)?
3
Suppose 3080 = 29*r - 371. Suppose 3*o + 78 = 3*z - 0*z, 3*z = -5*o + 110. What is the remainder when r is divided by z?
29
Let y be 2 + -6 + -3 + (70 - 0). Let q = 86 - y. What is the remainder when 85 is divided by q?
16
Calculate the remainder when 3/(-2 + 5) - (9 + -48) is divided by 14.
12
Let v(x) = -31*x - 154. What is the remainder when v(-7) is divided by 13?
11
Suppose -126 = -3*i - h, 2*i - 7*h - 92 = -5*h. Let f(g) = 8*g**2 - 10*g - 7. Calculate the remainder when f(-6) is divided by i.
40
Let x = 283 - 166. Suppose l = 3*n - 4*l - 96, 2*l = -3*n + x. What is the remainder when n is divided by 5?
2
Let j be ((-12)/(-10))/3 + (-3920)/50. Let q = -52 - j. What is the remainder when 101 is divided by q?
23
Let u(x) = -x**3 - x**2 + 13*x + 10. What is the remainder when u(-5) is divided by 12?
9
Let a(i) = -i - 11. Let f(j) = 1. Let k(x) = -a(x) - 6*f(x). Calculate the remainder when k(-3) is divided by 2.
0
Suppose 5*d = 11 - 6. What is the remainder when 64 is divided by (4 - (-20 + d))/1?
18
Let t(u) = -3*u**2 - 7*u - 11. Let f(l) = l**2 + l + 1. Let p(z) = 5*f(z) + t(z). Calculate the remainder when 89 is divided by p(-3).
17
Let i(x) = x - 3. Let o be i(8). Suppose o*m + n = 130 - 28, 48 = 3*m + 5*n. What is the remainder when m is divided by 5?
1
Suppose 0 = 5*h - 21 - 94. Suppose 4*i + 5*a - 473 = 0, -28*i + 33*i + a = 565. What is the remainder when i is divided by h?
20
Suppose -5*p - 9 = 21. Let r = -9 + p. Let s = -8 - r. Calculate the remainder when 11 is divided by s.
4
What is the remainder when (146 - 6) + (2 - -1 - 5) is divided by 20?
18
Suppose 4*u + 11*s = 8*s + 230, -s = 3*u - 165. Suppose 0 = -a + 2*a - 207. What is the remainder when a is divided by u?
48
Let j be 2/7 - (-102)/(-14). Let l(x) = -x**2 - 17*x - 7. What is the remainder when l(j) is divided by 22?
19
Suppose -2*q + 2*j = -6, -12 = 4*q + 5*j + 12. Let s = 42 - q. Calculate the remainder when s is divided by 2 - 74/(-8) - 9/36.
10
Suppose 0 = -i + 3, -4*i + 28 = -2*j + 3*j. Suppose -f + 6*b - 4 = 11*b, 13 = 2*f + 3*b. Calculate the remainder when j is divided by f.
5
Calculate the remainder when 323 is divided by 3/(-8 - (-225)/27).
8
Let v(i) = -40*i - 608. What is the remainder when 351 is divided by v(-16)?
31
Let g = 5 - 2. Suppose p = -g*p + 160. Calculate the remainder when p is divided by (-2)/8 - 366/(-24).
10
Let r(y) = -y**2 - 7*y + 6. Let t be r(-8). What is the remainder when 28 + t + -5*2/(-5) is divided by 15?
13
Let l(s) be the third derivative of 5*s**2 - 11/6*s**3 + 0*s - 1/8*s**4 + 0. Calculate the remainder when 11 is divided by l(-5).
3
Suppose -30 = 4*h - 14*h. Suppose -4*d = -c + d - h, 20 = 5*d. Suppose 5*t = -4*o + 192, 2*o = -0*t + t + 96. What is the remainder when o is divided by c?
14
Suppose 0 = -2*c + 62 - 4. What is the remainder when 58 is divided by (c/(-1) - (-1 - -2))*-1?
28
Suppose -2*p + 14*n + 546 = 19*n, 0 = -5*n + 20. Calculate the remainder when p is divided by 14.
11
Suppose -3*u + r = -164, 9*r = 5*u + 12*r - 264. Calculate the remainder when 159 is divided by u.
51
Suppose -17*x + 19*x - 814 = 0. What is the remainder when x is divided by 12?
11
Let u = 2279 - 2229. Calculate the remainder when 192 is divided by u.
42
Suppose 0 = 3*t + 5*d - 630, 9*d = -4*t + 4*d + 835. What is the remainder when t is divided by 11?
7
Suppose 3*r - 5 = 2*w + 1, -5*r + 20 = 0. Suppose 5*q = 3*q + 16. Let b = q + w. What is the remainder when 42 is divided by b?
9
Let b(a) = -7*a + 122*a**2 + 8*a - 47*a**2 + 1. What is the remainder when b(-1) is divided by 11?
9
Let m(i) = 1 + 4 - 2 + i - 2. Let a be m(3). Suppose -7 - 9 = -a*y. What is the remainder when 5 is divided by y?
1
Suppose -d + 2*p + 13 = 0, -d - 22 = 7*p - 2*p. Suppose w - 3*g = 1, -w - 3 = -4*g - 2. Calculate the remainder when w is divided by d.
1
Suppose 649 = 4*q - o, 3*q - 33*o + 29*o - 503 = 0. Calculate the remainder when q is divided by 41.
38
Calculate the remainder when 208 is divided by 8 - (81/(-54) - 3/2).
10
Let s(x) = 142*x**3 + 8*x**2 - 6*x - 2. Calculate the remainder when s(1) is divided by 38.
28
Let j(k) = -9*k - 10. Let s be (14 - 6)*(-3)/6*-1. Suppose -s*c - 4 = -m + 10, -56 = -4*m - 3*c. What is the remainder when j(-7) is divided by m?
11
Let k(r) = r - 3. Let o(u) = -2*u + 7. Let n(b) = 7*k(b) + 3*o(b). Let x be n(-3). Calculate the remainder when 3 is divided by (-2)/(-5 - x)*1.
0
Let y = -57 - -28. Let l = 7 + 41. Let s = l + y. Calculate the remainder when s is divided by 7.
5
Let c(n) = -4 - 9 - 13*n + 19*n. What is the remainder when c(6) is divided by 12?
11
Calculate the remainder when 101 is divided by 16 + -9 + -3 + 36.
21
Let n be -3 - (0 - 3 - 0). Let s(x) = -16*x**2 - 4*x - 2 + 12*x**2 - 2*x**3 + n. What is the remainder when 54 is divided by s(-3)?
26
Suppose -2*o + 3*u = -16, 0 = -4*o - 4*u - 4 - 4. Suppose 3*d = -5*t + 99 + 185, 104 = 