t s = 39 - l. Calculate the remainder when 34 is divided by s.
16
Let y(w) = 4*w**2 - 5*w - 1. Let c be y(4). Suppose 6*p = 17 + c. What is the remainder when p is divided by 2?
0
Let i = 121 - -33. Suppose -3*x = -4*x + 5*t + 46, -4*x + 5*t = -i. What is the remainder when x is divided by 21?
15
Suppose 0 = -8*g + 7*g - 2*c + 45, -2*g + 87 = c. What is the remainder when 79 is divided by g?
36
Let k(p) = -6*p - 57. Let x be k(-14). Suppose -x*d = -7*d - 820. Calculate the remainder when d is divided by 15.
11
Suppose -2 = x + 6. Calculate the remainder when 125 is divided by (5 - 1)*(x - 37/(-2)).
41
Let y(w) be the first derivative of -1/2*w**2 - 7*w - 7 + 1/3*w**3. Calculate the remainder when 25 is divided by y(5).
12
Let f = -6 + 14. Suppose 32 = 3*a + 11. Suppose -81 = -f*z + a*z. Calculate the remainder when z is divided by 42.
39
Let q(c) = c**3 + 11*c**2 + 4*c - 12. Let l be q(-11). Let t = -5 - l. Suppose -3*k = -6*k + t. What is the remainder when k is divided by 6?
5
Suppose 46*p - 57*p + 407 = 0. Calculate the remainder when p is divided by 26.
11
Let b = 81 + -56. Suppose -155 - 86 = -5*u - 4*f, 0 = 5*f - 20. Calculate the remainder when u is divided by b.
20
Suppose -2*x + 0*x - 17 = -a, -5*x - 53 = -3*a. Suppose 8*f - 16*f - 136 = 0. Let b = a + f. Calculate the remainder when 13 is divided by b.
1
Let v(j) = 6*j + 3. Let p(b) = -3*b - 2. Let n(k) = 5*p(k) + 2*v(k). What is the remainder when 9 is divided by n(-3)?
4
What is the remainder when 228 is divided by (-17)/((-102)/156) - 4?
8
Suppose 5*g - 712 = 2*q, -2*g = -6*g - 5*q + 596. Calculate the remainder when g is divided by 50.
44
Let q = 1057 + -1052. Calculate the remainder when 10 is divided by q.
0
Let t = -870 - -885. Calculate the remainder when 27/4*(2 - -2) is divided by t.
12
Suppose -80*b + 77*b = -4*h - 74, -2*b + 5*h = -54. Calculate the remainder when 343 is divided by b.
13
Suppose -401*w = -414*w + 845. Calculate the remainder when 389 is divided by w.
64
Suppose -4*f + 44 = f + 3*z, 0 = -3*f - 4*z + 22. Let m = -24 + 31. Suppose m*p - 3*p = -8, -4*p = -4*t + 156. Calculate the remainder when t is divided by f.
7
Suppose 5*p - 55 = -4*l, -2*l + 0*l + 33 = 3*p. Let s = 1837 + -1818. Let k = s - p. What is the remainder when 14 is divided by k?
6
Let t = 15 + -11. Let u(p) = 6*p**3 + p - 2. Let y(l) = -17*l**3 - 3*l + 6. Let a(f) = t*y(f) + 11*u(f). Calculate the remainder when 78 is divided by a(-2).
18
Let l(u) = -u**3 - 15*u**2 - 8*u - 19. Let b = -24 + 50. Calculate the remainder when l(-15) is divided by b.
23
Let j(q) = -q**3 + 7*q**2 - 7*q - 1. Let i be 4100/(-80) - (-2 + 7/4). Let c = i + 90. Calculate the remainder when c is divided by j(5).
11
Suppose 316*y - 21 = 315*y. Calculate the remainder when 118 is divided by y.
13
Let g = 1908 + -1896. Suppose h + d = 70, -h + 5*d = -40 - 24. What is the remainder when h is divided by g?
9
Let f be 8 + -10 - (1 + -2). What is the remainder when 125 - ((2 - (3 + -2)) + f) is divided by 21?
20
Calculate the remainder when -83*(26/(-18) - (-12)/27) is divided by 14.
13
What is the remainder when 42/189 - (-6366)/27 is divided by 44?
16
Let n = 9 + -7. Let c = n - -3. Suppose c*p - 82 + 17 = 0. Calculate the remainder when 23 is divided by p.
10
Let f be 40/(-6)*9/(-6). Let v(q) = -10*q**2 - 3*q**3 + f*q**3 + 8 - 8*q**3. What is the remainder when 31 is divided by v(-10)?
7
Let a(l) = l**3 + 4*l**2 + 3*l + 2. Let h be a(-3). Let c(n) = 7*n + 5. Calculate the remainder when c(h) is divided by 2/((-27)/(-21) + -1).
5
Suppose -5*q = 2*r - 4*r - 27, -5*q + 43 = 2*r. Let k(v) = v**2 - 6*v - 11. Let y be k(q). What is the remainder when y/((-8)/2) - -61 is divided by 21?
20
Suppose -14*g + 1171 - 275 = 0. What is the remainder when 120 is divided by g?
56
Suppose -5*x + 117 = u, 1 = -2*x + 4*u + 61. Calculate the remainder when 307 is divided by x.
19
Suppose -458 = -3*d - 233. Let b be (-4)/10 - 396/(-15). Suppose 0 = 5*l - 4*l - b. Calculate the remainder when d is divided by l.
23
Let m(s) = s + 1. Let h be m(4). Suppose -4 = -4*l, h*i - 158 = l - 4*l. What is the remainder when i is divided by 16?
15
Suppose 5*h - s = 264 - 68, 2*s = -2*h + 76. Suppose -7*f - 9 - 75 = 0. Let c = f + 32. Calculate the remainder when h is divided by c.
19
Suppose l - 18 = 2*b, 156*l + 66 = 159*l - 3*b. Suppose -2*x + 3*x - 51 = 0. What is the remainder when x is divided by l?
25
Let r = -138 + 162. Suppose -2*z + r = -5*q - 466, 0 = 2*q. What is the remainder when z is divided by 62?
59
Let s(n) = 21*n. Let q be s(1). Let h = 7 - q. Calculate the remainder when 26 is divided by (1/(-2))/(1/h).
5
Let g(k) = k**3 + 9*k**2 - 26*k - 34. What is the remainder when 326 is divided by g(-11)?
6
Let f = 143 - 141. Suppose 0*g - 4*h = f*g - 46, 40 = 2*g + 2*h. What is the remainder when 65 is divided by g?
14
Suppose -5*q = 31*q - 14904. Calculate the remainder when q is divided by 26.
24
Suppose -5 = 3*b - 11, -5*o = 3*b - 21. Suppose -4 - 1 = -t. Suppose -3*c = 2*n - 3, -4*c + t + 4 = n. What is the remainder when o is divided by c?
0
Let m(u) = 67 + 641*u**2 + u**3 - 9*u - 633*u**2 - 61. Let r(a) = -6*a + 3. Let o be r(2). Calculate the remainder when 27 is divided by m(o).
3
Suppose a = 3*a - 4*i - 10, 4*i - 35 = -3*a. Let c(y) = 8*y + 292. What is the remainder when c(-31) is divided by a?
8
Let g(o) = -4*o**3 - 2*o**2 + 7*o - 5. What is the remainder when g(-4) is divided by 39?
35
Let j(v) = 4*v**2 - 5*v + 3. Suppose q - 9 = -4*n, -3*n + 0*n = 2*q - 13. Calculate the remainder when j(4) is divided by q.
2
Suppose 75*z - 57*z - 612 = 0. What is the remainder when 96 is divided by z?
28
Let y(m) be the second derivative of 31*m**5/10 - m**4/12 + m**2/2 + 20*m. Calculate the remainder when y(1) is divided by 5.
2
Let q = -139 + 159. Calculate the remainder when 158 is divided by q.
18
Let y = 145 - 14. What is the remainder when y is divided by 27?
23
Let k = -48 - -54. Let t = -13 + 15. Suppose t*j + 13 = 45. What is the remainder when j is divided by k?
4
Suppose -2*a - 3*a = -4*s + 17, 0 = -3*s + 2*a + 18. Let x = -13 + 22. What is the remainder when (s/16)/((-1)/(-5))*10 is divided by x?
7
Suppose 0*k = -5*i + 5*k - 220, 173 = -4*i + 3*k. Let c = i + 82. What is the remainder when c is divided by 15?
11
Let p(a) = 3*a + 11. Let t be (-3)/(-3) - (5 + 1). Let f be p(t). Let z(o) = 5*o**2 - 1. Calculate the remainder when z(f) is divided by 16.
15
Calculate the remainder when 87 is divided by (26/15 + 8/(-6))*25.
7
Let r(b) = -7*b**3 - 27*b**2 - 8*b - 11. Calculate the remainder when r(-6) is divided by 20.
17
Let g(k) = 2*k + 0*k + 0*k + 5*k. Calculate the remainder when 24 is divided by g(1).
3
Let x = 521 - 492. Calculate the remainder when 490 is divided by x.
26
Suppose -x = -0*x - 48. Let l(a) = -a**3 - a**2 + 3. Let s be l(0). Suppose s*f - 5*f + 50 = 0. Calculate the remainder when x is divided by f.
23
Let r = -9 - -17. Let i = -38 + 68. Suppose -3*c = -5*c + i. Calculate the remainder when c is divided by r.
7
Let p(u) = 40*u - 1. Let h be p(5). Suppose -3*r = 5*a - 0*r - h, r = a - 43. Let o = -21 + a. Calculate the remainder when o is divided by 7.
6
Suppose -5*j + 7*j - 80 = 4*c, 2*c - 8 = 0. Suppose -68 - 32 = -4*d. Calculate the remainder when j is divided by d.
23
Suppose -14*r + 1259 = 307. Calculate the remainder when r is divided by 17.
0
Suppose -2*w - 2*w = -100. Suppose 5*p - 8 - w = 2*v, 0 = 4*p + 5*v. Suppose -72 + 19 = -x + c, p*x - c = 265. What is the remainder when x is divided by 14?
11
Let o be (-3)/6 + (-114)/(-4). Suppose 48 = 5*r + 4*k, -4*r + 2*k + 0 + o = 0. Let j(x) = 20*x + 314. What is the remainder when j(-15) is divided by r?
6
Let k(m) be the second derivative of -1/6*m**3 - 3*m + 0 + 2*m**2. Calculate the remainder when k(-6) is divided by 3.
1
Suppose 24 = 2*n - 18. Suppose n + 17 = 3*x - o, -5*x = -5*o - 50. What is the remainder when 83 is divided by x?
13
Let y = 89 - 68. What is the remainder when 55 is divided by y?
13
Let h(v) = 3*v**2 + 10*v + 74. Calculate the remainder when h(-7) is divided by 28.
11
Calculate the remainder when 46 is divided by (-19 - -21)/((-9)/(-7) - 1).
4
Let j(w) = w**3 - 7*w**2 + 8*w - 20. Calculate the remainder when j(8) is divided by 33.
9
Let a = 148 - 1