.
3
Let x = 2 + 3. Suppose g + g + 170 = x*k, -3*k = g - 102. Calculate the remainder when k is divided by 9.
7
Let m be -2*3/9*-3. Suppose 6*s - 140 = m*s. Calculate the remainder when s is divided by 9.
8
Let b = 89 - 73. Calculate the remainder when 60 is divided by b.
12
Suppose -3*m = i - 2 - 16, -14 = -3*i - m. Suppose 2*f - y - 13 = 0, -i*f + 8*f + y - 15 = 0. Let h = f + -1. What is the remainder when 7 is divided by h?
1
Let v(h) = -h**3 - 7*h**2 - 2*h + 9. Calculate the remainder when v(-7) is divided by 5.
3
Let d(y) be the first derivative of 21*y**2/2 - 2*y + 2. Let x(h) = h**3 - 7*h**2 - h + 9. Let l be x(7). Calculate the remainder when d(l) is divided by 14.
12
Suppose -h = b - 3*h - 5, 3*b - 13 = 4*h. Suppose q = -k + 44, 3*k - b*q - 97 = q. What is the remainder when k is divided by 14?
11
Let z(i) = -4*i**2 + 2*i - 1. Suppose f + 5*v - 21 = 0, 4 = 4*f + v - 4. Let h be z(f). Calculate the remainder when 9 is divided by ((-2)/h)/(2/15).
4
Let n(u) = 3*u**2 - 3*u - 3. Calculate the remainder when 27 is divided by n(-2).
12
Suppose 3*d + 36 = 4*n, 5*d = 2*n + 3*n - 45. What is the remainder when 35 is divided by n?
8
Suppose -4*a + 27 + 9 = 0. Suppose 0 = 5*z - 13 - 7, 38 = 2*l - 3*z. What is the remainder when l is divided by a?
7
Let i be 2 - (-3 - -3)/(-1). Suppose -z = -i*z + 8. What is the remainder when 23 is divided by z?
7
Suppose 4*f = 4*g - 236 - 76, 2*g - 146 = -3*f. What is the remainder when g is divided by 39?
37
Let w = 91 - 62. What is the remainder when 55 is divided by w?
26
Let u(w) = -w**3 + w**2 + 6*w - 4. Suppose 0*g + 15 = 3*g. Calculate the remainder when u(-3) is divided by g.
4
Let b = 35 + -24. Calculate the remainder when ((-172)/6)/((-6)/9) is divided by b.
10
Suppose -5*p + 2*p + 228 = 0. Calculate the remainder when p is divided by 26.
24
Let i be 48/9 - (-3)/(-9). Suppose -4*a = i*j - 136, -2*j + 6 = -2*a - 52. Calculate the remainder when j is divided by 15.
13
Calculate the remainder when 46 is divided by (1/(-1))/(-4) - (-819)/52.
14
Suppose 58 - 120 = -2*i. Calculate the remainder when 153 is divided by i.
29
Let n(w) = w**3 + 6*w**2 - 10*w + 1. Let c(r) = -6 + r**2 - 9*r + r**2 - 3*r**2. Calculate the remainder when n(-7) is divided by c(-7).
6
Let z(u) = u**2 - u - 6. Let r be z(4). What is the remainder when r/27 - (-482)/18 is divided by 14?
13
Let r be ((-6)/9)/((-4)/18). Suppose -3*i - r*m + 51 + 60 = 0, 0 = -4*i - m + 148. Let b(j) = 2*j + 7. What is the remainder when i is divided by b(6)?
18
Let w(r) be the second derivative of -7*r**3/3 - 7*r**2/2 + 5*r. What is the remainder when w(-4) is divided by 25?
24
Let j(g) = g**2 + 17*g + 12. Let t be j(-16). What is the remainder when ((-60)/9)/(t/42) is divided by 18?
16
Suppose -48 = -4*c - 0*c. Let i(r) = -r**2 - 11*r - 3. What is the remainder when c is divided by i(-10)?
5
Suppose -4*j - 331 = -3*m, 3*m + m - 2*j = 448. Suppose 0 = -4*x + m - 21. What is the remainder when 44 is divided by x?
21
Let k = -20 + 26. What is the remainder when 6 is divided by k?
0
Suppose -5*o + 286 = h - 13, 0 = o + 5*h - 79. Calculate the remainder when o is divided by 23.
13
Let l = -8 - -5. Let w be (-5 - l)*(-1 - 0). Calculate the remainder when 7/(14/48) - w is divided by 12.
10
Suppose 3*w - 353 = -101. Suppose -5*l = 9*l - 406. What is the remainder when w is divided by l?
26
What is the remainder when (-4 - -1)/(-9)*78 is divided by 7?
5
Let s(k) = 4*k**2 - 4*k**2 + 13*k + 8 - k**2. Let y be s(10). Suppose 5*q + y = h, q - 66 = -h - 2*h. Calculate the remainder when h is divided by 8.
7
Suppose -3*t = g + 24 + 17, 0 = 2*t - 3*g + 31. Let i = -12 - t. What is the remainder when 4 is divided by i?
0
Suppose -2*i + 4 = -6. Suppose -2*y + 81 = 2*y - i*d, 3*y - d - 47 = 0. What is the remainder when y is divided by (-4)/10 + (-42)/(-5)?
6
Let i(p) = -2*p - 1. Calculate the remainder when 17/((-306)/(-60))*15/10 is divided by i(-1).
0
Suppose -17*h + 10*h + 231 = 0. Let b(i) = -i - 5. Let n be b(-6). Calculate the remainder when h is divided by (-4)/(-10)*(n + 29).
9
Suppose 0 = -4*k - 3*i, 0 = 3*k - k + i. Suppose w + 2*w - 42 = k. Calculate the remainder when 25 is divided by w.
11
Suppose 4*j = 5*w - 70 + 359, 4*w + 4 = 0. What is the remainder when j is divided by 18?
17
Let n be (-2 - -1) + 1 + 9. Let c(s) = s**2 + 16. What is the remainder when (9/2)/(n/60) is divided by c(0)?
14
Suppose 5*w = u + 45, -u + 36 = 2*w + 2*w. Calculate the remainder when 15 is divided by w.
6
Let h(f) = 3*f**3 - 3*f**2 + 5*f + 29. Let g(j) = -5*j**3 + 5*j**2 - 8*j - 43. Let l(y) = 5*g(y) + 8*h(y). Calculate the remainder when 82 is divided by l(0).
14
What is the remainder when 56 - (-1 - -3)/2 is divided by 20?
15
Suppose -10 = -2*o - 3*o. Suppose 7 + 1 = o*a. What is the remainder when 11 is divided by a?
3
Suppose -2*h + 4 + 4 = 0. Calculate the remainder when 19 is divided by h.
3
Suppose -4*n = -120 - 80. What is the remainder when 23 is divided by 5/(-15) - n/(-6)?
7
Let g = -3 - -13. Let q(f) = 5*f - 4. Let n be q(-3). What is the remainder when -1*(1 - n/(-1)) is divided by g?
8
Let t = 29 + 10. What is the remainder when t is divided by -4 + 3 + 17 + -2?
11
Suppose 0 = w + w + 6, 3*g + w - 45 = 0. Calculate the remainder when 239 is divided by g.
15
Let x = -40 + 175. Suppose -5*f - x = 5*y, 4*f - 6*y + 3*y = -73. Let h = f - -48. Calculate the remainder when h is divided by 9.
8
Let t(j) = j**2 - 2*j - 19. Calculate the remainder when 15 is divided by t(-4).
0
Let y = 7 - 22. Calculate the remainder when 7 is divided by ((-6)/y)/((-3)/(-15)).
1
Let m(w) = -w**3 + w**2 + w. Let u be m(0). Suppose t - 3 - 5 = u. Calculate the remainder when 23 is divided by t.
7
Suppose 4*x = 3*x + 16. Calculate the remainder when 75 is divided by x.
11
Suppose 3*u + 6*g - 33 = 3*g, g = 3*u - 21. Let a(i) = -i**2 + 11*i - 2. Calculate the remainder when 65 is divided by a(u).
21
Let p = 24 - 23. Suppose -3*w + 5*f = -15, -3 = 3*w + 2*w + f. Suppose 3*q - 5*q + 2 = w. Calculate the remainder when p is divided by q.
0
Let z(t) = -4*t**2 + 30*t - 10. Calculate the remainder when z(6) is divided by 10.
6
Suppose -4*b + 38 = 3*c, -c - 4*c = -b - 48. Let i(t) = -t**2 + 11*t - 13. Let d be i(c). What is the remainder when 41 is divided by (-3)/(20/7 + d)?
20
What is the remainder when 28 is divided by (-6)/(-45) - (-326)/30?
6
Suppose 3*b = -3*b + 60. Calculate the remainder when 15 is divided by b.
5
Suppose 7 = l - k, -3*l - 7*k = -2*k + 19. What is the remainder when 6 is divided by l?
0
Let a(y) = -y**2 + y + 6. Let s be a(-9). What is the remainder when (s/9)/(4/(-18)) is divided by 15?
12
Suppose -3*p = 25 - 64. What is the remainder when 77 is divided by p?
12
Let a be (3 - 15)*(-1)/3. Suppose 2*t - 200 = -4*q + 52, a*q - 232 = 3*t. Calculate the remainder when q is divided by 21.
19
Let m be (-2)/(-4) - 18/4. Let h(f) = -f**3 - 4*f**2 - f + 5. Calculate the remainder when 17 is divided by h(m).
8
Suppose 4*s + 4 = -u, 0 = -u - s + 5 - 0. Let g = -2 - -5. What is the remainder when u is divided by g?
2
What is the remainder when 79 is divided by 23 + 6*2/(-4)?
19
Suppose -y - 2*y = 0. Suppose y = 5*b - 5*u - 5, -12 - 13 = 3*b + 4*u. Calculate the remainder when 76/3 - b/(-9) is divided by 13.
12
Suppose -3*k + 39 = 2*a + a, -4*k + 7 = -a. Let b(r) = -r**2 + 9*r + 5. What is the remainder when (-13)/(-4)*8/2 is divided by b(a)?
3
Let a be ((-10)/(-20))/((-1)/(-8)). Suppose 4*w + a = 12. What is the remainder when 5 is divided by w?
1
Suppose 3*q - 2*q = 5*x + 13, 4*q - 4*x - 52 = 0. What is the remainder when q is divided by 3?
1
Let x = -10 + 15. Suppose x*u + 8 = -2. Let l = u + 9. Calculate the remainder when 12 is divided by l.
5
Let f be 45/(-1) - (-3 + 7). Let w = f + 95. What is the remainder when w is divided by 16?
14
Suppose -z - 2 = -19. What is the remainder when 49 is divided by z?
15
Calculate the remainder when 18 is divided by (-8)/(-4) - 1 - -3.
2
Suppose -3*d - 57 = -6*d. Calculate the remainder when d is divided by 5.
4
Let v(z) = -4*z - 1. Let t be v(2). Let s be 0/(-2*t/6). Suppose -2*b - p + 32 = s, 0 = 2*p - p. What is the remainder when 46 is divided by b?
14
Suppose 48 = 4*w - 3*d, 4*w - 4*d = d + 40. Calculate the remainder when 42 is divided by