 - 3. Let m(t) = t**3 - 3*t**2 - t + 5. Calculate the remainder when 49 is divided by m(z).
15
Suppose -2*c + 8 = -0*c. Let z(o) = -o**3 + 5*o**2 - 3*o + 5. Suppose 51 = 3*a + 3*g, -25 = -4*a + 3*g + 43. Calculate the remainder when a is divided by z(c).
8
Let s = 21 - 11. Calculate the remainder when 17 is divided by s.
7
Let m = -11 - -21. Suppose -m*l - 57 = -11*l. What is the remainder when l is divided by (2*-1)/(-2) + 14?
12
Suppose -r + 25 - 12 = 0. Suppose -2*y = -0*w + w - 52, -3*w = 4*y - 108. What is the remainder when y is divided by r?
11
Suppose -4*i = -u + i + 24, -5*u + 72 = -i. Let b be (-1)/2 + 10/4. Suppose -3*a = -b*a - 8. What is the remainder when u is divided by a?
6
Suppose -9*p = -10*p + 10. What is the remainder when 88 is divided by p?
8
Let a = 45 + -42. What is the remainder when (-2)/4 + (-19)/(-2) is divided by a?
0
Suppose 17*n - 5*n = 108. Calculate the remainder when 25 is divided by n.
7
Let w(j) = -j**3 - 7*j**2 - 7*j - 4. Let x be w(-6). Suppose 2*m + 3*g - 21 = 6, 3*m + x*g = 33. What is the remainder when 35 is divided by m?
8
Let d(s) = -9*s - 16. Let h(r) = -19*r - 33. Let i(l) = 9*d(l) - 4*h(l). What is the remainder when 33 is divided by i(-6)?
15
Let z be (18/(-15))/((-2)/35). Suppose 5*s - z = -1. Let f(v) = 2*v**2 - v + 1. Calculate the remainder when s is divided by f(1).
0
Let y(o) = o**3 - o**2 + o + 14. Let u be y(0). Suppose -5*v - 20 = -5*r, -3*v + 0 = -r + u. What is the remainder when 5 is divided by 2 + 3 + r*2?
2
Suppose -6*g + 235 = 5*q - g, -4*q + 209 = -3*g. What is the remainder when q is divided by 17?
16
Suppose 3*b + t + 2 = 0, 11 = -3*b - 5*t + 1. Suppose 5*f - 246 - 124 = b. What is the remainder when f is divided by 25?
24
Suppose -4*o + 176 = -0*o. What is the remainder when o is divided by 21 + (3/4)/(6/16)?
21
Let s = -5 + -1. Let c = s + 6. Suppose -4*o + z - 3*z = -16, c = -o - z + 3. What is the remainder when o is divided by 3?
2
Let u(a) = 23*a**2. Let q be u(1). Let x = q + -3. Suppose 4*c + 22 = 6*c. What is the remainder when x is divided by c?
9
Let z(x) = 3*x - 11. Calculate the remainder when z(4) is divided by 1.
0
Suppose -68 = s - 2*n, -4*n = -2*s - 8*n - 152. Let y = -41 - s. Calculate the remainder when y is divided by 11.
9
Suppose -16 = 2*o - 2*b, -o - 1 = -4*b + 7. Calculate the remainder when 48 is divided by (-373)/(-15) + o/(-60).
23
Let l = -96 - -139. Let j(p) = p**3 - 14*p**2 - 14*p. What is the remainder when l is divided by j(15)?
13
Suppose o = -2*o + 9. Suppose 6*r - 3*r = 5*d + 118, 0 = o*r + 5*d - 68. Let i(w) = 10*w**2 + w. Calculate the remainder when r is divided by i(1).
9
Let z be 2 - 7 - (0 - 0). Let d(h) = h**2 + h. Let n be d(z). Suppose 4 = -4*k + n. What is the remainder when k is divided by 2?
0
Let m(a) = -9*a - 12. What is the remainder when m(-5) is divided by 12?
9
Let s(n) = n**2 + 5*n + 4. Let v be s(-4). Let f(y) = -4 + v - 1 - 3*y. What is the remainder when f(-6) is divided by 7?
6
Let p = 26 - 17. Let v = p - -5. What is the remainder when v is divided by 4?
2
Let y be (2/(-3))/((-4)/42). Let d(n) = -n**3 - 5*n**2 + 9*n - 4. Let q be d(-7). Suppose 2*g = q - y. What is the remainder when 47 is divided by g?
11
Suppose -5*g - 2*c + 55 = 0, 2*g = -c + 4*c + 22. Calculate the remainder when 42 is divided by g.
9
Suppose -3*w = 3*y - 54, -2*y + 6 = -0. What is the remainder when w is divided by 7?
1
Let k(f) be the second derivative of -f**5/20 + 7*f**4/12 - 5*f**3/6 - 3*f**2/2 - f. Calculate the remainder when 5 is divided by k(6).
2
Let x = -103 + 161. Let r be -1*(-4 - (1 + -3)). Let m = r + 18. Calculate the remainder when x is divided by m.
18
Let j(p) = 5*p**3 - p**2 - p + 1. Suppose u = 4*f - 4, 2*f + 2*u + 2 = 4*f. What is the remainder when 13 is divided by j(f)?
1
Let k(v) = v**3 + 9*v**2 - 7*v - 6. Let f be k(-7). Let t = f - 89. Calculate the remainder when t is divided by 18.
16
Suppose 0 = -25*f + 19*f + 528. Calculate the remainder when f is divided by 13.
10
Suppose -656 = -3*w + 2*u, 3*u - 462 + 16 = -2*w. Suppose -724 + w = 4*y. Let l = -84 - y. Calculate the remainder when l is divided by 11.
9
Suppose 0 = -v - 3 + 1. Let s(q) = -6*q - 3. What is the remainder when (-2 - 4/(-8))/(1/(-16)) is divided by s(v)?
6
Let o = -4 - -9. Suppose o*p - 26 = -6. What is the remainder when p is divided by 3?
1
Let z(k) = 43*k**2 + 2*k + 2. Suppose -26 = -2*y - 5*a + 3*a, -5*y + 59 = 2*a. What is the remainder when z(-1) is divided by y?
10
Suppose q + 3 = 4*f, -6*q - f + 69 = -q. Calculate the remainder when 51 is divided by q.
12
Suppose 1 - 5 = -4*d + t, 3*d + 5*t = -20. Suppose 5*f - 254 + 24 = d. What is the remainder when f is divided by 24?
22
Suppose 0 = 4*m - 9*m. Suppose 5*x + 3*f = 41, 3*f + 2*f - 10 = m. Let u(t) = 2*t - 5. Calculate the remainder when 17 is divided by u(x).
8
Let t(a) = -2*a + 15. Calculate the remainder when 102 is divided by t(0).
12
Suppose 13 = -3*g + 49. Let m(c) = -c + 10. Calculate the remainder when (4/(g/27))/1 is divided by m(5).
4
Let d be 4/(-14) - (-2)/7. Let v(q) = -q**3 - q**2 + q + 2. Let s be v(d). Suppose -s*j = 7 - 17. What is the remainder when 13 is divided by j?
3
Suppose -h - 4*h - q - 20 = 0, -4*h - 5*q = 16. Let y = h + 18. What is the remainder when y is divided by 5?
4
Let w = 4 + -4. Suppose -r = -22 - w. Calculate the remainder when 15/(-5) - (-45 - 0) is divided by r.
20
Let z(f) = -127*f + 1. Let j be z(-5). Suppose -q + j = 2*q. Suppose 5*o - q = a - 23, -3*o + 5*a = -109. Calculate the remainder when o is divided by 20.
18
Let t(k) = k**3 + 12*k**2 + 10*k - 8. Calculate the remainder when ((-12)/5)/(6/(-20)) is divided by t(-11).
2
Let y = 20 + -28. What is the remainder when (0 - y)*15/10 is divided by 5?
2
Calculate the remainder when 55 is divided by (3/(-9))/((-2)/174).
26
Let g(p) = p**2 + p + 19. Calculate the remainder when 54 is divided by g(0).
16
Let c(s) = -2 - 2*s + 1 - 2*s + 0. What is the remainder when c(-2) is divided by 3?
1
Suppose 2*x - 6*x - 8 = 0. What is the remainder when -2 - (104 + 1)/(-3) is divided by (15/(-2) + -1)*x?
16
Let k(o) = o**2 - 8*o + 9. Let w be k(6). Let a = -11 - w. Let h(n) = -n**3 - 9*n**2 - 10*n - 1. What is the remainder when h(a) is divided by 8?
7
Suppose 6*v - 4 = 128. Calculate the remainder when v is divided by 5.
2
Suppose 4*n - 2*k - 48 = 0, -4*n = 4*k + 10 - 82. Calculate the remainder when n is divided by -3*(2 + 42/(-9)).
6
Suppose 0 = 3*u + 12, 4*u + 9 + 12 = h. Let c = -11 - -15. Suppose 8 = -c*t + h*t. What is the remainder when 14 is divided by t?
6
Let p be ((-6)/9)/(2/57). Let y = 33 + p. Let z = -20 - -74. What is the remainder when z is divided by y?
12
Let i be (2/(-3))/(7/(-21)). Suppose 0 = i*n - 60 + 12. Calculate the remainder when n is divided by 9.
6
Calculate the remainder when (-2)/(-9) - (-3703)/63 is divided by 15.
14
Let y be (3/6)/(5/140). Suppose 7*m - y = 35. Calculate the remainder when m is divided by 2.
1
Calculate the remainder when (-4 - 34/(-8))*356 is divided by 16.
9
Let b(m) = 9*m - 6 - m**2 + 0*m**2 + 1 + 5*m. What is the remainder when b(6) is divided by 11?
10
Suppose 2*x = 5*g - 239 + 27, g - 43 = x. Let l = -29 + g. Suppose -4 = 3*v - l, -4*r = -4*v + 8. What is the remainder when r is divided by 1?
0
Let n(w) be the third derivative of w**4/24 + 11*w**3/6 + 4*w**2. What is the remainder when n(0) is divided by 3?
2
Let a(d) = -d**3 + d**2 + d + 1. Let f(y) = 4*y**3 - 4*y**2 - 5*y - 2. Let p(o) = -3*a(o) - f(o). What is the remainder when 19 is divided by p(-2)?
5
Let z be 3*-1*(3 + -4). Suppose 2*d - 1 = z. Suppose 3*m = -4*f + 6*f - 1, -d*m + 11 = f. Calculate the remainder when 11 is divided by m.
2
Let b = 17 + -8. Let n(z) = -z**3 + z**2 + 25. Suppose a = 2*a. What is the remainder when n(a) is divided by b?
7
Let w(c) = c**2 - 8*c - 5. Let j be w(9). Suppose j*k - 9 = -5*v, -k + 0*k = -3*v - 15. Calculate the remainder when 10 is divided by k.
4
Let x(f) = -4*f - 18. Calculate the remainder when x(-14) is divided by 23.
15
Let y = 7 + -5. Suppose 2*v = 5*v - 3*g - 84, y*v + g = 47. Let c = -15 + v. Calculate the remainder when 19 is divided by c.
9
Let g(b) = -b**3 + 3*b**2 + 3*b - 3. Let z be g(3). Suppose 4*h - 48 = -4*r, r = h + z + 6. What is the remainder w