- 6. Let j(n) = -2*n - 13. Let k be j(-9). What is the remainder when t(k) is divided by z?
11
Let o(h) = 6*h**2 + 5*h + 4. Let x be o(5). Suppose 4*p + 59 - x = 0. Let m = p - 16. What is the remainder when m is divided by 5?
4
Let h = -2 - -7. Suppose -23 = -0*z - 2*z - 3*b, 3*z = h*b - 13. Suppose z = v - 0*v. Calculate the remainder when v is divided by 2.
0
Suppose 0 = -5*u - 5*m - 105, -2*m - 99 = 5*u + 3. Let s = u - -33. Calculate the remainder when s is divided by 8.
5
Let v = -23 + 49. What is the remainder when v is divided by 14?
12
Let k be (-10)/20 + 2/4. Suppose -3*v + v + 310 = k. What is the remainder when v is divided by 39?
38
Let z = 3 - 1. Suppose -50 = -2*j + z. Suppose 4 - 13 = -u. Calculate the remainder when j is divided by u.
8
Let a(r) = r**2 + 8*r - 8. Let v(j) = -j**2 - 7*j + 9. Let o(z) = -2*a(z) - 3*v(z). Let f = 6 + -14. What is the remainder when 25 is divided by o(f)?
12
Let b(z) = -12*z**3 - z**2 - z + 1. Let m be b(1). Let x = m + 31. Calculate the remainder when 53 is divided by x.
17
Suppose 11 = -i - 5*y, -5*i + 0*i + 75 = -y. What is the remainder when i is divided by 8?
6
Suppose -2*b = t - 45, 25 = b + 2*t - 5. What is the remainder when 137 is divided by b?
17
Let z(l) = 6*l + 2. Let m = -37 - -93. Suppose -j + 58 = 4*j - g, m = 4*j - 4*g. Calculate the remainder when z(3) is divided by j.
9
Let k = -3 - -5. Suppose y + y - k = 0. What is the remainder when (1 - y) + 5 + 33 is divided by 13?
12
Suppose 0 = -0*f - 4*f + 108. Let z(m) = m + 6. What is the remainder when f is divided by z(1)?
6
Calculate the remainder when 14 is divided by 40/12 - (-6)/9.
2
Suppose -3*s = -0*s. Let q = -7 + 11. Suppose s = q*d + 13 - 201. Calculate the remainder when d is divided by 16.
15
Let w = 59 - 4. What is the remainder when w is divided by 14?
13
Let f = -43 + 56. Suppose -4*q + 7 = -21. Let m = 12 - q. What is the remainder when f is divided by m?
3
Let o = 12 - 4. Let t = o + 59. What is the remainder when t is divided by 14?
11
Let h(f) = f**2 - 3*f + 6. Let p be (-8 - -6)/(1/(-2)). What is the remainder when 29 is divided by h(p)?
9
Suppose -5 = 2*f - 63. What is the remainder when f is divided by 19?
10
Suppose -4*k = -2*k - 3*o - 42, 3*o = -k + 3. What is the remainder when 116 is divided by k?
11
Let x = 21 - 17. Suppose -5*b - 3 = -4*z + 4, 0 = -2*z + 3*b + 5. Calculate the remainder when 33 - (4 + z - x) is divided by 12.
11
Suppose 4*z - 17 = 183. Suppose o + 0*o - 17 = 0. Suppose -o = -2*y + y. What is the remainder when z is divided by y?
16
Let y be (3 - 2)/(1/127). Suppose -2*n = 5*c - 0*n - y, 3*n = 3*c - 72. What is the remainder when c is divided by 13?
12
Let b be (0/(-9))/(0 + 1). Suppose 2*z + 1 - 23 = b. Calculate the remainder when z is divided by 6.
5
Calculate the remainder when ((-3)/(-2))/(6/64) is divided by 9.
7
Let k(i) = 40*i - 2. Let s be k(3). Suppose 5*o - 57 - s = 0. Let f = -4 - -13. Calculate the remainder when o is divided by f.
8
Suppose 3*v - 2*r = 161, 4*v = -0*v + 2*r + 212. Suppose 3*n - 8*n = l - v, 4 = -l. What is the remainder when n is divided by 6?
5
Let c(w) = 7*w + 5. Suppose 0 = -g + 6 - 0. What is the remainder when c(g) is divided by 12?
11
Suppose g - 3*g = -20. Suppose 4*r = 5*w + 162, 3*w = 5*r + w - 194. Calculate the remainder when r is divided by g.
8
Suppose 0 = 2*t + 2*p + 8, 0 = 3*t - 4*p - 23. Let l = -7 - -28. What is the remainder when l is divided by (t/(-2))/((-2)/24)?
3
Let s(j) = -15*j - 10. Calculate the remainder when 76 is divided by s(-2).
16
Let u(l) = 8*l - 18. What is the remainder when u(3) is divided by 2?
0
Suppose -2*z = h + 6, 16 + 6 = h - 5*z. Suppose 2*v = -2*v + 8. What is the remainder when v is divided by h?
0
Suppose s + 0*p = 5*p - 14, 4*s - 5*p = 19. Let z be 1 - (-1 + 0 + 0). Let m(o) = 16*o - 1. Calculate the remainder when m(z) is divided by s.
9
Let t = 2 + 1. Let m = t - 1. What is the remainder when 4 is divided by (m + (-2)/2)*3?
1
Suppose -4*j + 2*r = -10 - 26, 4*j + r = 24. Calculate the remainder when 40 is divided by j.
5
Suppose 249 = -10*x + 13*x. Calculate the remainder when x is divided by 21.
20
Let a = 0 - -16. Suppose -5*v = -3*k - 16, 2*k = -3*v + v. What is the remainder when (-285)/(-6) - (-1)/k is divided by a?
15
Let k(r) = 6*r + 2. What is the remainder when k(10) is divided by 23?
16
Calculate the remainder when 19 is divided by 3/6*20*1.
9
Let v(u) = -4*u + 10. What is the remainder when v(-9) is divided by 16?
14
Let j = 65 - 59. Suppose 0 = -f + t + 2, -2 = -f - 4*t + 2*t. What is the remainder when j is divided by f?
0
Let p(l) = l. Let f(b) = -b**2 + 10*b + 1. Let n(z) = f(z) + 6*p(z). What is the remainder when n(8) is divided by 17?
14
Let n = -6 - -1. What is the remainder when 17 is divided by (0 - n)*(-12)/(-10)?
5
Let k = 4 + -9. Suppose -5*q = -4*q. Let m = q - k. What is the remainder when 13 is divided by m?
3
Suppose 72 + 23 = 5*j. What is the remainder when 37 is divided by j?
18
Let x be (-3)/(-12) - 851/(-4). Suppose 4*z - 103 - x = 0. Suppose 3*h + 5*f - z = 0, -2*f - 5 = 3*f. Calculate the remainder when h is divided by 10.
8
Suppose -4 = 2*a + 2*a. Let o(l) = -13*l**3 - l**2 - l - 1. Calculate the remainder when 45 is divided by o(a).
9
Let k(z) = z + 12. Let i be k(-8). Suppose -3*q = -i - 47. What is the remainder when q is divided by 10?
7
Suppose -5*z + 178 - 133 = 0. Calculate the remainder when 15 is divided by z.
6
Suppose -5*r + 4*j + 24 = 0, -3*r + 0*j = 4*j - 8. Suppose -5*p - 161 = -r*y, y = -p - p + 24. What is the remainder when y is divided by 12?
10
Let x(h) be the second derivative of 5*h**3/6 - 13*h**2/2 + 6*h. Calculate the remainder when x(9) is divided by 17.
15
Let q(b) = -b**2 - 11*b - 8. Let u(x) = x**2 - 11*x + 8. Let g be u(9). Let l be q(g). Calculate the remainder when 31 is divided by (-2 + 3/l)*-22.
9
Suppose -4*x = 0, 5*m - x - 660 = -155. Calculate the remainder when m is divided by 34.
33
Suppose -4*w = -m + 2*m - 3, -4*m = -w - 12. Let u = 25 - m. Calculate the remainder when u is divided by 3/(2 - 14/8).
10
Let m be 1/((-24)/9 - -3). Let w be (-1 - 1)*46/(-2). Suppose 0*c + w = 3*c + 5*v, -m*v = -2*c + 56. What is the remainder when c is divided by 8?
6
Suppose -5*x - 125 = -5*s, -35 - 40 = -3*s + 5*x. Let r = -9 + s. Suppose -3*w = 4 - r. Calculate the remainder when 6 is divided by w.
2
Let h(x) = 17*x - 1. Let j be h(3). What is the remainder when j/(1 - 0/1) is divided by 17?
16
Suppose k + 45 = 6*k. What is the remainder when 26 is divided by k?
8
Suppose 2*o = -3*o. Suppose 3*d - 12 = o, -5*m + 65 = 4*d + 19. Calculate the remainder when m is divided by 2.
0
Let k(j) = 23*j + 1. Let a = 5 - 3. Let t be k(a). Suppose 5*w - 126 = 4*d, 2*w + d - t = 6*d. Calculate the remainder when w is divided by 14.
12
Suppose 5*y + 3*j = 7, 2*j = 5*y - 8 - 4. Calculate the remainder when 2 is divided by y.
0
Let s(r) = r**3 - 3*r**2 - 6*r - 5. Let g(k) = 6*k**3 - 2*k**2 + k. Let y be g(1). Calculate the remainder when 43 is divided by s(y).
13
Let k be (-3)/3*1/(-1). Let y be 4/8*(k + -1). Calculate the remainder when 20 + y + (-3 - -3) is divided by 7.
6
Let n(i) = i**2 + 2*i - 2. Let d = 0 + 1. Calculate the remainder when n(-3) is divided by d.
0
Let w be (-2 - -176)/3 - -2. Suppose 5*x - w = -4*s, 2*s - 6*s - 2*x + 48 = 0. Suppose g = -g + 12. What is the remainder when s is divided by g?
4
Let p = 11 - 8. Suppose -2*y + 4*n - 10 = -48, -3*y = p*n - 102. Calculate the remainder when y is divided by 16.
13
Let x(n) = n**2 + 6*n - 6. Let l be x(-7). Suppose -2*b + 56 = -6. What is the remainder when b is divided by l*(-48)/(-1 + -2)?
15
What is the remainder when 197 is divided by (5 + 3)/((-9)/((-135)/6))?
17
Suppose 3*g = 90 + 9. What is the remainder when 163 is divided by g?
31
Let x(j) = -j**3 + 2*j - 1. Calculate the remainder when 78 is divided by x(-3).
18
Let g = 11 + -11. Suppose -2*d - 2 = -h, 2*d + 18 = 5*h - g*d. Calculate the remainder when 11 is divided by h.
3
Let j(a) = -2*a - 1. Let y be j(-3). Suppose 9 + 6 = -y*t. Calculate the remainder when 33/2 - t/6 is divided by 6.
5
Let g(p) = 18*p. Suppose 5*k - 3 = -3*y, 0*k + 2*k + 5*y + 14 = 0. What is the remainder when g(k) is divided by 14?
12
Suppose 49*o + 152 = 53*o. What is the rem