 is divided by 8.
4
Let i be (-27)/18*(-76)/2. Suppose -2*w - i = -5*w. Let b = 11 - 6. Calculate the remainder when w is divided by b.
4
Let c(f) = 6*f**2. Let p be c(-1). Suppose -2*o - p*o = 80. Let z(y) = -y - 4. What is the remainder when z(o) is divided by 4?
2
Let u(q) = 48*q + 820. Let p(g) = 2*g**3 - 5*g**2 + 4*g - 2. Let z be ((-6)/8)/(1/(-4)). What is the remainder when p(z) is divided by u(-17)?
3
Suppose -6*c = -14*c + 744. Calculate the remainder when 194 is divided by c.
8
Suppose -3*o + 15*l = 16*l - 383, -3*o + 5*l = -353. What is the remainder when o is divided by 43?
40
Let f(l) = l**3 + 11*l**2 + 13*l - 4. Calculate the remainder when 489 is divided by f(-9).
38
Suppose -11*i + 950 = -i. Calculate the remainder when (-380)/i + -22*(0 + -3) is divided by 16.
14
Let b = -5 + 8. Suppose -2*l = -b*y + 7, -3*y + y = 3*l - 9. Suppose -y*v = 2*k + v, -5*k = -3*v - 39. What is the remainder when 16 is divided by k?
4
Let y(k) be the third derivative of -k**6/120 + k**5/5 - 5*k**4/12 - 2*k**3/3 + k**2. What is the remainder when 18 is divided by y(11)?
4
Let f be -428*(1/2 + -1). Suppose z - u - 16 = 0, 39 = 4*z + 8*u - 7*u. Calculate the remainder when f/5 + 2/10 is divided by z.
10
Suppose -c + 12*w = 10*w - 18, -2*c - 4*w = -20. Let j(u) = 36*u + 8. Let r be j(6). Suppose 3*z - r = -62. What is the remainder when z is divided by c?
12
What is the remainder when 46 is divided by (-13)/((-819)/18) - (-166)/7?
22
Suppose q + 1938 - 2025 = 0. What is the remainder when 329 is divided by q?
68
Suppose -3*c = 3*c. Suppose 5*u - 7*u + 26 = c. What is the remainder when u is divided by 3 + 2 + -1 - -3?
6
Suppose -8*u + 6*u + 526 = 0. Calculate the remainder when u is divided by 38.
35
Let k = -13 + 31. Let x = 9 + -4. Suppose -15 = -4*p - x*s + 18, 2*p - 11 = 3*s. Calculate the remainder when k is divided by p.
4
Let f = -5 - -34. Let l(j) = 4*j**2 - 5*j - 29. What is the remainder when l(6) is divided by f?
27
Let y(k) = k**3 + 12*k**2 + 32*k + 1. Calculate the remainder when y(-7) is divided by 6.
4
Let m(p) = 3 - 16*p + 15 + p**2 - 3*p. Let y be m(18). Let g(v) = -v + 13. What is the remainder when g(y) is divided by 5?
3
Let u = 349 - -246. What is the remainder when u is divided by 13?
10
Let m(j) = -5*j - 2. Let n(i) = -i**2 - 8*i + 7. Let t be (-252)/30 + (-2)/(-5). What is the remainder when m(-4) is divided by n(t)?
4
Let g(w) = -w**2 + 22*w + 53. Let s be g(23). Let i = s + 20. Calculate the remainder when i is divided by 17.
16
Let u = 3608 - 2967. What is the remainder when u is divided by 107?
106
Let r = -54 + 74. Suppose 3*j + r = 8*j - 5*q, -2*q = -4*j + 16. What is the remainder when 6 is divided by j?
2
What is the remainder when ((-55)/10 - -3)/((-1)/26) is divided by 22?
21
Suppose 0 = n - 0*n + n. Suppose n = -5*z - 2*g + 550, -2*g = z - 4*z + 330. Calculate the remainder when z is divided by 16.
14
Suppose 3*h + 1 = -2*b, -5*b - 5*h + 2 = -3. Let n(c) = c**2 + 8*c + 9. Let m be n(-8). Let u = m - -4. Calculate the remainder when u is divided by b.
1
Let y be 2/(-6) - 10/(-30). Suppose y = -j + 15 + 27. Calculate the remainder when j is divided by 9.
6
Let b = 62 - 58. What is the remainder when 280/6 - (b/(-12) + 1) is divided by 16?
14
Let s be 1293/15 - (-3)/(-15). Suppose 3*l - s = -w, -4*w - 28 = -l - 5*w. What is the remainder when l is divided by 11?
7
Let t(q) = q**3 + 6*q**2 - 6*q. Let o be t(-7). What is the remainder when (-1 + o/(-2))/((-1)/(-22)) is divided by (27 - -1) + 1 + 0?
26
Suppose -2*b - 126 = -148. What is the remainder when 252 is divided by b?
10
Let z = -735 - -740. What is the remainder when 34 is divided by z?
4
Suppose 5*q = -0*x - 3*x + 9, 5*x - q = 15. Suppose x*z + 0*z = 33. Let s = 2 - -5. What is the remainder when z is divided by s?
4
Suppose 195 = 2*t + 3*t. Let k(l) = -l**3 + 5*l**2 + l - 2. Let x be k(5). Suppose -10 = -x*c + 2*c. Calculate the remainder when t is divided by c.
9
Let t = 4810 - 4798. Let v(o) = -o**3 + 5*o**2 + 3. Calculate the remainder when v(4) is divided by t.
7
Let a be -219*4/(-36)*-2*3. Let l = a + 176. Calculate the remainder when 88 is divided by l.
28
Let q(g) = -13*g**3 + g**2 - g - 1. Let x be q(-1). Suppose x*l = 19*l - 155. Calculate the remainder when 92 is divided by l.
30
Suppose 4*r - 144 + 132 = 0. Calculate the remainder when 44 is divided by r.
2
Suppose 5*s = 4*d + s - 96, -5*d - 3*s + 120 = 0. What is the remainder when 18/d + 201/4 is divided by 18?
15
Suppose 0 = 34*w - 38*w + 2*l + 118, 2*w - 64 = -4*l. Calculate the remainder when 84 is divided by w.
24
Suppose -7*f - 506 = -4643. What is the remainder when f is divided by 22?
19
Let p = -426 - -478. Suppose 9 = -2*d + 3*d + 5*g, 27 = 3*d + 5*g. What is the remainder when p is divided by d?
7
Let o(u) = 50*u - 11. Let l be (-23)/(-23)*1*2. Calculate the remainder when o(l) is divided by 16.
9
Suppose 3*t = 4*t + 2, -5*t = 3*p - 161. What is the remainder when 216 is divided by p?
45
Suppose -14*a + 150 + 172 = 0. What is the remainder when 274 is divided by a?
21
Suppose -26 = 3*z - 125. Calculate the remainder when 90 is divided by z.
24
Let s(l) = -l**2 - 37*l - 25. What is the remainder when s(-32) is divided by 10?
5
Let y be (-23 + 14)/((-6)/4). Let j(h) = h**2 - 5*h - 6. Let g be j(y). Let w(c) = -c**3 + c**2 + 32. What is the remainder when w(g) is divided by 11?
10
Let m be (3/(-4))/(7/(-28)). Suppose q - 4*q = -2*p - 8, p + m*q - 5 = 0. What is the remainder when 56 is divided by -1*(-28 + (-2 - p))?
27
Let n(x) = -x + 30. Let d be n(27). Suppose -2*z - l = -430, -3*z + 2*l = d*l - 643. What is the remainder when z is divided by 27?
24
What is the remainder when 78 is divided by (-38)/(-19) + (15 + 0 - 1)?
14
Let o = -55 - -100. What is the remainder when o is divided by 28?
17
Let a = 21 - 6. Let r = -31 + a. Let x(n) = -2*n - 24. Calculate the remainder when x(r) is divided by 5.
3
Let h(d) = d**2 + 70. Suppose 30 = 5*w, w = 63*a - 58*a - 174. What is the remainder when h(0) is divided by a?
34
Let z = 23 - 5. Suppose -394 = -9*n + 74. Calculate the remainder when n is divided by z.
16
Let c(x) = 18*x + 1. Suppose 5*p - 26 = 3*d, -2*d - 3*d + 6 = 4*p. Let g(j) = -6*j + 2. What is the remainder when c(3) is divided by g(d)?
13
Suppose -83 + 371 = 3*v. What is the remainder when v is divided by -1 + (-2*1 - -36)?
30
Let a(l) = -l**3 - 11*l**2 - 14*l + 52. Calculate the remainder when a(-9) is divided by 2.
0
Suppose 622 = 3*s + 547. Calculate the remainder when 33 is divided by s.
8
Let l = -35 - -76. Suppose -196 - 442 = -4*i - m, 5*i - 4*m - 829 = 0. Calculate the remainder when i is divided by l.
38
Let q(z) = -10*z**3 + z**2 - z - 1. Calculate the remainder when 4/58 - (14 + (-8928)/58) is divided by q(-1).
8
Let s(o) be the first derivative of -o**3/3 + 25*o**2/2 - 40*o - 26. What is the remainder when 16 is divided by s(23)?
4
Let s = 184 + -51. Suppose -17*k = -24*k + s. What is the remainder when 53 is divided by k?
15
Let r(p) = -52*p + 148. Calculate the remainder when r(-13) is divided by 33.
32
Let b(a) = -3*a - 4. Suppose -15 = -5*f - 5*q, -3*q = -32*f + 28*f + 12. Calculate the remainder when b(-3) is divided by f.
2
Suppose -3*f + 11*h - 6*h = -39, -5*f + 65 = -2*h. What is the remainder when 374 is divided by f?
10
Suppose 4*o = -24*o + 2548. What is the remainder when o is divided by 26?
13
Calculate the remainder when 94*(3 + 30/(-12)) is divided by 21.
5
Suppose 2*t = -3*q + 98, 5*t - 4*t - 2*q - 56 = 0. What is the remainder when t is divided by 6?
4
Let l(z) = -z + 43. What is the remainder when 189 is divided by l(15)?
21
Suppose a = 5*f + 25, -5*a + 3*f + 10 = f. Suppose a*k + 4*k + 100 = 2*l, -3*l - k + 178 = 0. Calculate the remainder when l is divided by 15.
13
Let a = -1655 - -1692. Calculate the remainder when 183 is divided by a.
35
Let n = -108 + 106. Let z(j) = -j**3 - j**2 - j - 2. Calculate the remainder when 6 - (0 - -1 - 0) is divided by z(n).
1
Let a = 32 + -13. Let b = 28 + a. Suppose 5*w + 110 = 5*c, 2*w = 1 + 5. Calculate the remainder when b is divided by c.
22
Suppose -185 = -6*k + 73. Let y = k + 23. Calculate the remainder when y is divided by 23.
20
Suppose -4*i = 2*g, -5*g + 0*g + 18 = i. What is the remainder when ((-8)/10)/(1*