y 5.
1
Let a(r) be the third derivative of r**5/30 - r**3/6 - r**2. Calculate the remainder when a(1) is divided by 1.
0
Suppose -22 = -3*t + 2*t. Calculate the remainder when t is divided by 12.
10
Suppose -2*i - 5*h = -69, -2*i - 5*h = -3*i - 3. What is the remainder when ((-84)/(-10))/((-2)/(-10)) is divided by i?
20
Let p be (0 + -2 - -3)*9. Let y(q) = -q**3 + 11*q**2 - 18*q + 11. Suppose -k + 6 = -0*k. Calculate the remainder when y(p) is divided by k.
5
Suppose -4*n + 3*w = -0 + 9, 2*n - 5*w = -1. Suppose 0 = 4*x - 4*j - 39 - 17, 21 = 2*x + 5*j. Calculate the remainder when x is divided by ((-20)/6)/(2/n).
3
Let d(n) = n**3 - 7*n**2 + n + 10. What is the remainder when 32 is divided by d(7)?
15
Suppose -2*r = 3*r. Suppose -2*s = -r*o - 5*o + 105, 4*s - 105 = -5*o. Let h(b) = -6*b**3 - 5*b**2 - 6*b. Calculate the remainder when h(-2) is divided by o.
19
Suppose 3*j - 35 = -2*d, -j - 4*j + 25 = -5*d. What is the remainder when 24 is divided by j?
6
Suppose -5 = 5*c, -34 = -2*i - 2*i + 2*c. What is the remainder when 13 is divided by i?
5
Let d = -36 - -58. What is the remainder when 64 is divided by d?
20
Suppose -5*r + 122 + 108 = -4*h, -5*r = 3*h - 195. Suppose -4*a - r = -2*m, 1 = m + a + a. Calculate the remainder when 30 is divided by m.
8
Suppose -51 = -c + z, 2*c + 3*z - 94 = 7*z. What is the remainder when 272 is divided by c?
52
Suppose m - 4*p - 12 = 0, -2*m - 4*p = -2*p - 34. What is the remainder when (-1)/4 - (-189)/4 is divided by m?
15
Let s = -126 + 135. Let v = -46 + 79. What is the remainder when v is divided by s?
6
Let q be ((-1)/(-3))/(1/66). Calculate the remainder when 3 + (2 + q - 3) is divided by 13.
11
Suppose -3*i + z = -33, -4*z - 9 = -3*i + 24. What is the remainder when 27 is divided by i?
5
Suppose -4*o - g + 36 = -o, -4*g + 36 = 3*o. Let b be (1/2)/(3/o). Calculate the remainder when 7 is divided by 51/18 + b/12.
1
Let v(i) = 3*i**3 + i**2 - 2*i + 3. Let s be v(-3). Calculate the remainder when 19 is divided by s/(-6)*4/6.
5
Let a(d) = d**2 - d. Suppose 3 = 4*q + 203. Let u = 72 + q. What is the remainder when u is divided by a(4)?
10
Suppose 0 = -2*u + u - 3*p + 11, p - 57 = -3*u. Calculate the remainder when (474/(-9))/(4/(-6)) is divided by u.
19
Suppose m + z = 36, -3*z = -4*m - 2*z + 139. Calculate the remainder when m is divided by 3.
2
Suppose -3*k = 4*i - 38, 33 + 23 = 4*k + 4*i. What is the remainder when 89 is divided by k?
17
Let z = 30 - 17. Let d = 1 + z. Calculate the remainder when 39 is divided by d.
11
Let h be 0 + 0 + 1 + 1. Let w be -1 + -1*2/h. Let d = w - -5. Calculate the remainder when d is divided by 3.
0
Let u = -23 + 32. Calculate the remainder when u is divided by 6.
3
Let t(b) = -b**3 + 7*b**2 - 5*b + 1. Let a be 10/(-4)*(-10)/(-5). Let o = 1 - a. What is the remainder when 13 is divided by t(o)?
6
Suppose 15 = -4*n - 45. Let h = 38 + n. Calculate the remainder when h is divided by 8.
7
Let y(l) = -8*l - 1. Calculate the remainder when y(-4) is divided by 8.
7
Let c(k) = -2*k - 11. What is the remainder when c(-15) is divided by 5?
4
Let w(m) = 13*m - 1. What is the remainder when 48 is divided by w(2)?
23
Let f(k) = -35*k**3 + 2*k**2 - 1. Let h = 281 - 176. Suppose -10 = 5*j - h. Calculate the remainder when f(-1) is divided by j.
17
Let r(t) = 5*t**2 - 5*t - 9. Let b be r(7). Suppose -b = -4*v + 3*s + 75, 2*v - 152 = 5*s. What is the remainder when v is divided by 17?
15
Calculate the remainder when 57 is divided by (1*-15)/(-15 - -14).
12
Suppose 5*n + i = 4, 15 = -3*n + 4*i - 1. Suppose 3*u = -n*u + 15. Suppose -63 = 2*d - u*d. What is the remainder when 41 is divided by d?
20
Let l(p) = p**2 + 6*p + 1. Let q be l(-7). Suppose c - 5*n - q = 0, -c + 16 = -n - 0*n. Calculate the remainder when 34 is divided by c.
16
Suppose 6*p = p - 170. Let t = 56 + p. Calculate the remainder when t is divided by (-20)/3*12/(-10).
6
Suppose -2*o + 0 = 10. Let f(l) = -l + 3. Calculate the remainder when 0 + 2 - 126/(-6) is divided by f(o).
7
Let m be ((-2)/4)/((-1)/(-12)). Let i(g) = -9*g - 8. Let c(w) = 19*w + 17. Let s(p) = 4*c(p) + 9*i(p). What is the remainder when s(m) is divided by 9?
8
Suppose 3*d - 5*d + 4*z = -4, -5*d + 5*z + 20 = 0. Suppose 0 = -5*l + 2*l. Suppose 5*r + 20 = y + 4*r, -r - 3 = l. What is the remainder when y is divided by d?
5
Let x = -25 - -55. What is the remainder when 57 is divided by x?
27
Suppose -5*j = -2*l - 316, j + l - 245 = -3*j. Calculate the remainder when j is divided by 21.
20
Suppose 2*o + p = 34, 5*p = 5*o + 3*p - 76. Let t(u) = u - 5. Let f be t(5). Suppose 2*x - 26 + 8 = f. Calculate the remainder when o is divided by x.
7
Calculate the remainder when 1/(-1) - 3 - -44 is divided by 14.
12
Let s = 97 + -76. What is the remainder when -4*(1 + (-65)/4) is divided by s?
19
Let r = 30 + -27. Suppose r*a - 6*a + 159 = 0. Calculate the remainder when a is divided by 14.
11
Let j = -26 + 44. What is the remainder when 67 is divided by j?
13
Let j(q) = -q**2 + 7*q + 18. What is the remainder when 124 is divided by j(7)?
16
Let x be (-1 - 0/2)*18. Let r = 32 + x. What is the remainder when 25 is divided by r?
11
Suppose y - 16 = 4. Suppose -4*b + 5 = -5*b, 5*f = 3*b + 305. What is the remainder when f is divided by y?
18
Suppose 2*v - 53 = 3*t, -4*v - 68 + 173 = -5*t. Let p be (-9)/6*-2 - v. Let o = p - -35. Calculate the remainder when 49 is divided by o.
10
Let a(w) = w**3 - 2*w**2 - w - 1. Suppose 0 = -16*t + 12*t + 56. What is the remainder when a(4) is divided by t?
13
Suppose -3*y + 8*y + 1211 = 4*l, 2*y = 4*l - 1214. Calculate the remainder when (-12)/(-42) + l/14 is divided by 6.
4
Calculate the remainder when (-5328)/(-126) + (-2)/7 is divided by 22.
20
Let u(s) = 55*s**2 + s. What is the remainder when 212 is divided by u(-1)?
50
Let f(l) = 4*l**2 + l. Calculate the remainder when 12 is divided by f(-1).
0
Suppose 0 = 2*o - o - 8. What is the remainder when 71 is divided by o?
7
Let k = -25 + 65. What is the remainder when k is divided by 7?
5
Let w(j) = j**3 + j**2 + j. Let y be w(-2). Let z(m) = -m**3 - 5*m**2 + 3*m - 8. What is the remainder when 28 is divided by z(y)?
8
Let w = 21 - 9. What is the remainder when w is divided by 5?
2
Let d(k) = 2*k**2 + 2*k - 1. Let o be d(1). Suppose -6*m = -o*m. Suppose m = -2*c + 2 + 2. What is the remainder when 5 is divided by c?
1
Let r(m) = -m**3 + 5*m**2 - 3*m - 1. Let x be r(3). What is the remainder when 37 is divided by 146/x - (-6)/8?
18
Suppose 2*h - 24 = -0*h. Let s = 3 - h. Let z = 2 - s. What is the remainder when 32 is divided by z?
10
Suppose 5*i - 4*i - 4 = 0, -5*w + 5*i + 215 = 0. What is the remainder when 139 is divided by w?
45
Suppose -4*m = 16, r - 2*m - 12 = -r. Let k = -3 - -6. What is the remainder when 18/10 - k/(-15) is divided by r?
0
Suppose -3*x = -29 + 5. Calculate the remainder when x is divided by 3.
2
Let q = 11 - 9. Suppose q*b - 2*m - 48 = m, -b + 10 = 2*m. Calculate the remainder when 35 is divided by b.
17
Suppose -2*g - 4*c = -3*g + 25, -3*g - 2*c = -19. Let a = -373 - -568. What is the remainder when (-8)/10*a/(-6) is divided by g?
8
Suppose 2*j - 3*m = 90, j - 4*m = 27 + 28. Let h(v) = -v**3 - 2*v**2 + 4*v + 4. Suppose -5 - 3 = 2*y. Calculate the remainder when j is divided by h(y).
19
Suppose -2*x = -3*t + x + 69, 2*x - 94 = -5*t. Calculate the remainder when (-1 - (0 + -1)) + 58 is divided by t.
18
Let m(k) = -k**2 + 4*k + 6. Let u be m(5). What is the remainder when -24*(9/(-6) + 0) is divided by 1/(((-3)/(-57))/u)?
17
Let x = 67 + -18. Calculate the remainder when x is divided by 18.
13
Let y(h) = h**3 - 4*h**2 + 3*h - 1. Suppose -3*b = -15 - 18. What is the remainder when y(5) is divided by b?
6
Let t(c) = c**3 + 18*c**2 - 5*c + 21. Let h(j) = -2*j**3 - 37*j**2 + 10*j - 42. Let x(f) = 2*h(f) + 5*t(f). What is the remainder when x(-16) is divided by 26?
23
Let p(q) = q**2 + 8*q + 16. Calculate the remainder when 61 is divided by p(-8).
13
Let s(f) = 6*f**3 - f + 1. Let t be s(1). Suppose -2*a - a = -t. Calculate the remainder when 8 is divided by a.
0
Suppose -f - 2*i = -7, 3*f + i = 2*i. Calculate the remainder when (2 - f)/(-1)*-9 is divided by 5.
4
Suppose 0 = 5*d - 2*d - 15. Suppose d*t = 3*t + 42. Suppose 3*b + p - 27 = -2*p, 5*b = -p + 53. What is the rema