1. Let a(k) = f(k) + 6*v(k). Suppose 6*l + 16 = 14*l. What is the remainder when a(13) is divided by l?
1
Let f = -98 + 105. Let q(c) = -c**3 + 8*c**2 + 11*c + 8. What is the remainder when q(9) is divided by f?
5
Suppose -19*g + 2814 + 5717 = 0. What is the remainder when g is divided by 9?
8
Let b(s) = -181*s**3 + 9*s + 8. Calculate the remainder when b(-1) is divided by 17.
10
Let c(n) = -2*n**2 - 6*n + 4. Let d be c(-3). Let h be d - (7 - (0 + -2)). What is the remainder when 13 is divided by 473/55 - 2/h?
4
Suppose -4*z - 240 = -14*z. What is the remainder when 72 is divided by z?
0
Suppose 4*a + 5*c = 135, a + c + 27 = 2*a. Calculate the remainder when 198 is divided by a.
18
Let h(f) = f**3 + 7*f**2 - 2*f + 11. Let z be -1 + 3 + 1 + -1. What is the remainder when h(-7) is divided by 7*(-1 + z/1)?
4
Suppose -317*s + 312*s = -25. Calculate the remainder when (1/(-2))/(2/(-76)) is divided by s.
4
Let g(j) be the second derivative of -j**5/20 - j**4/6 - j**3/3 - 5*j**2/2 - j. What is the remainder when g(-4) is divided by (7 + 0)*24/14?
11
Suppose 84 = 8*t + 13*t. What is the remainder when 21 is divided by t?
1
Let a(h) = -h + 9. Let n be a(12). Let i be (-2 + -4)/n - -209. What is the remainder when (-7)/35 + i/5 is divided by 15?
12
Calculate the remainder when (-4)/(-3)*(-120)/50*-35 is divided by 23.
20
Let t = 11 + 4. Let i = 48 + t. Let u(k) = 3*k**2 - 2*k. What is the remainder when i is divided by u(-2)?
15
Let w = 195 - 136. Let l(u) = 5*u + 4*u + 2 + 5*u. What is the remainder when w is divided by l(1)?
11
Let w be (-9)/(-21)*(5 + 2). Suppose w*q = 3*g - 96, 0*g + 97 = 3*g - 2*q. Calculate the remainder when g is divided by 9.
6
Let w(r) = -2 + 0*r**3 + 9 - r**3 + 6*r. Let s be w(-3). Suppose -2*c - 4*g = -s, 10 = 3*c - 3*g + 2*g. Calculate the remainder when c is divided by 3.
1
Let i = -18 + 29. Suppose -3*t + 23 = 4*x, t = -0*t - 2*x + i. Calculate the remainder when 4 is divided by t.
0
Suppose 0*z - 3*z = -12. Suppose -3*l + 31 = 1. Let k = 21 - l. What is the remainder when k is divided by z?
3
Let b(z) = -3*z**3 - 2*z**2 + z - 3. Let m be b(-3). Let g = 105 - m. Let t(s) = 2*s**2 + 12*s - 37. What is the remainder when g is divided by t(3)?
14
Suppose -2*z + 6 - 2 = 0, 5*u - 314 = 3*z. Calculate the remainder when u is divided by 33.
31
Let u(s) = 5*s - 42. Let x = -111 - -121. Calculate the remainder when 30 is divided by u(x).
6
Suppose 0 = -5*c + 5, 12*u = 8*u + 5*c + 547. What is the remainder when u is divided by 20?
18
Let z = 57 + -28. What is the remainder when z is divided by (-2)/(-5) + 159/15?
7
Let w = 1 - -19. Let b = 33 - w. Calculate the remainder when b is divided by (-3)/(-2) + 5/2.
1
Let x(r) = 2*r - 9. Let l(k) = -k + 10. Let v(h) = -5*l(h) - 4*x(h). Suppose 3*f + 49 = -4*f. What is the remainder when 17 is divided by v(f)?
3
Let x(b) = b + 1. What is the remainder when (1 + -2)/((-11)/121) is divided by x(6)?
4
Let w(l) = -16*l + 349. Calculate the remainder when w(21) is divided by (-38)/(-6) + 8/12.
6
Let d(z) = 4*z**2 - 38*z + 154. Calculate the remainder when 395 is divided by d(4).
65
Let b(c) = -c**2 + 3*c - 2. Let j be b(2). Suppose -5*i + 0 + 105 = j. What is the remainder when i is divided by 9?
3
Suppose -3*o - v + 5*v = 28, -16 = o + 2*v. Calculate the remainder when 18*(-6)/27*o is divided by 14.
6
Suppose 0*h = 5*h - 445. What is the remainder when h is divided by 9?
8
Let b(c) = -4*c + 20 - 25 - 11. Suppose -5*l + 7 = -28. Calculate the remainder when b(-7) is divided by l.
5
Suppose -43 = -3*z + 53. Suppose -5*y + z = -3*y. Calculate the remainder when (-32)/y + 9*13 is divided by 39.
37
Suppose -1 = -2*o + 3, -4*o + 16 = -2*n. Let f = n - -12. Suppose 6*v - 4*v - f = 0. Calculate the remainder when 5 is divided by v.
1
Calculate the remainder when 102 is divided by 5243/196 + (-3)/4.
24
Let n(r) = -r**3 + 11*r**2 - 5*r + 2. Suppose 4*f + 3*o - 60 = 0, 3*f - 3*o - 24 = -0*o. Calculate the remainder when n(9) is divided by f.
11
Let s = -35 + 91. Suppose 3*n - 15 + 0 = 0. Suppose v = -2*o - v + s, n*v + 46 = o. Calculate the remainder when 59 is divided by o.
28
Let b(o) = 9*o + 103. Suppose 4*g - 116 - 52 = 0. Calculate the remainder when b(7) is divided by g.
40
Suppose -678*x + 531 = -669*x. Let y = -63 - -94. What is the remainder when x is divided by y?
28
Let a = 98 - -94. Calculate the remainder when a is divided by 26.
10
Let s(i) = 2*i + 2. Let l be s(0). Let o(c) = -c**3 + 7*c**2 - 3*c + 9. What is the remainder when o(6) is divided by ((-12)/l)/3 - -12?
7
Let b = -603 + 695. What is the remainder when 547 is divided by b?
87
Let n = 914 + -839. What is the remainder when 896 is divided by n?
71
Suppose -4*j - 2*u + 3 = -15, 3*u = j + 13. Suppose j*m - 5*m = 0. Suppose n + 5 - 22 = m. Calculate the remainder when 48 is divided by n.
14
Let y(b) = b**3 + 22*b**2 + 10*b + 19. Calculate the remainder when y(-21) is divided by 32.
26
Let a(z) = -z**3 + 10*z**2 + 5*z - 57. What is the remainder when a(7) is divided by 64?
61
Suppose 0 = -44*f + 43*f + 3*w + 1, -5*f = w - 21. Suppose 2*k + 3*m = 21, -13 = -2*k - 5*m + 10. Calculate the remainder when k is divided by f.
1
Let v be -15*(16/10)/(16/40). Let u = -27 - v. What is the remainder when 129 is divided by u?
30
Let n = 425 + -408. What is the remainder when 116 is divided by n?
14
Let p = -215 - -247. Let i be -1 - (-1 + -1 - 1). Suppose -o = -3, i*t - o = 23 - 4. What is the remainder when p is divided by t?
10
Suppose 4*g - 3 + 131 = 5*r, -r + 5*g = -13. Suppose 0 = -2*t - 3*s - 28, 3*t + 37 = -s - s. Let y = r + t. What is the remainder when 50 is divided by y?
16
Let y(l) = l**2 + l + 1. Let c be y(-2). Suppose -m + c*i + 45 = 0, -m - 3*i = 20 - 71. Let h = m + -18. Calculate the remainder when h is divided by 18.
12
Suppose 3*i - 2*d - 167 = 0, 77 = -4*i + 5*d + 302. Calculate the remainder when 289 is divided by i.
14
Suppose 5*y = -3*h + 45, -2*y + y - 14 = -4*h. Let d = 23 - 13. What is the remainder when y*(18/3 - (-3)/(-2)) is divided by d?
7
Let s(k) = 52 - 22 + k + 1. Suppose 3*a - 7*a + 86 = 5*u, -a - u = -21. What is the remainder when s(24) is divided by a?
17
Let v(r) = 10*r + 91. Calculate the remainder when 304 is divided by v(-3).
60
Let t = -22 + -9. Let g = -18 - t. Let n(d) = 54*d - 6321. What is the remainder when n(118) is divided by g?
12
Suppose -2*z = -2*f + 8 + 72, 4*z + 199 = 5*f. Calculate the remainder when 193 is divided by f.
37
Suppose -3*y + 180 = g + 13, 0 = 5*y + 4*g - 290. What is the remainder when 593 is divided by y?
53
Let g = 4164 - 2935. What is the remainder when g is divided by 56?
53
What is the remainder when (-6 - 14/(-3))/(2/(-63)) is divided by 23?
19
Let j(m) = m**2 + 0*m**3 - 7 - 6*m**2 + 4*m**3 - 5*m - 2*m**3. Let t be j(5). Let i = t + -43. What is the remainder when i is divided by 27?
23
Suppose 16 = -3*s + 4*s. Suppose 2*w = s + 16. Suppose -3*v + 254 = 23. Calculate the remainder when v is divided by w.
13
Let f = -1024 + 1036. Calculate the remainder when 22 is divided by f.
10
Suppose -2583 = -8*o - 13*o. What is the remainder when o is divided by 19?
9
Let f = 449 - 432. What is the remainder when 1697 is divided by f?
14
Suppose -864 = 5*z - 3*z. Calculate the remainder when 2 + -1 + z/(-12) is divided by (152/16)/((-2)/(-4)).
18
Let w(g) = -g - 7. Let t be w(-9). Let b(u) = -2*u**2 + 9*u - 4 - 2*u**2 + 3*u**t. What is the remainder when 60 is divided by b(4)?
12
Let l = -2 - -24. Suppose 355 = 4*y + 331. Calculate the remainder when l is divided by y.
4
Let q(g) = -g**2 - 9*g - 1. Let w(n) = -3*n**2. Let h be w(-1). Calculate the remainder when q(h) is divided by 10.
7
Let n(j) = -j**3 + 12*j**2 + 2*j - 12. Suppose 0 = 3*s + 9 - 117. Suppose d + s = 4*d. What is the remainder when 21 is divided by n(d)?
9
Let q(g) = 3*g**2 + g - 2. What is the remainder when q(-4) is divided by ((-170)/204)/((-1)/18)?
12
Let m = 5 - 3. Suppose -308 = -m*o - 2*o. What is the remainder when o is divided by 14 + 6 - (0/3)/1?
17
Let d(y) = 13*y + 963. What is the remainder when 290 is divided by d(-72)?
20
Let y(l) = 2*l + 79. Calculate the remainder when y(-27) is divided by 5 - (-3)/2*2.
1
Let h(c) = -c. Let s be h(0). Suppose s = -6*p - 18 + 72. Let b = 26 + 8. What is the remain