 16. Calculate the remainder when z is divided by a.
10
Suppose 25*c - 2712 = 663. What is the remainder when c is divided by 22?
3
Suppose r + 2 = 7. Let l(h) = -h**3 - 7*h**2 + 5*h - 10. Let z be l(-8). Let n = 32 - z. What is the remainder when n is divided by r?
3
Let k be 2/2 - (-21 + 2). Suppose 40 = 22*q - k*q. Calculate the remainder when 37 is divided by q.
17
Let l(h) = -h**3 + 1. Let w be l(-1). Let o be (40 + -2)/(w/(-6)). Let r = -51 - o. What is the remainder when r is divided by 22?
19
Suppose 1399 = 9*r - 4550. Calculate the remainder when r is divided by 95.
91
Let x = -589 + 653. Calculate the remainder when 213 is divided by x.
21
Suppose 70 = 4*l - 110. Let a = l - 31. What is the remainder when a is divided by 2/(-3) + 26/3?
6
Let z(p) = p**2 + 13*p + 45. What is the remainder when z(-18) is divided by 23?
20
Let u = 125 - 94. What is the remainder when 41 is divided by u?
10
Let a(d) = 2*d**3 - 10*d**2 + 4. Let y be a(5). Let s be (-46)/(-6) - y/6. Let m = s + -1. What is the remainder when 17 is divided by m?
5
Let d(k) = k**3 - 7*k**2 - 8*k - 1. Let a be d(8). Let l = 8 + a. Let b = -3 + l. Calculate the remainder when 11 is divided by b.
3
Let b(t) = -287*t - 128. What is the remainder when b(-3) is divided by 67?
63
Let y be ((-1)/2)/(2/(-8)). Let z(m) = -4 + 0*m + y*m + 0 + 0*m. What is the remainder when 15 is divided by z(4)?
3
Suppose 0*p = -2*p - 3*s + 47, 2*s = -4*p + 90. Suppose -p - 12 = -2*i. Calculate the remainder when 82 is divided by i.
14
Let v(d) = 2*d**3 - 80*d**2 - 59*d + 38. Calculate the remainder when v(41) is divided by 41.
38
Suppose -2*d = -6*d + 3*r - 1225, -d + r = 306. Let b = d - 188. What is the remainder when b/(-10)*(-2)/(-3) is divided by 17?
16
Let r(d) = -3*d + 18. Let x(j) = -j**3 + 4*j**2 + 2*j + 1. Let w be x(4). Suppose 40 = 4*l - w*l. Calculate the remainder when r(l) is divided by 11.
9
Let d = -35 - -34. Let l = 10 - d. What is the remainder when 43 is divided by l?
10
Suppose 17*i - 216 = -i. What is the remainder when 318 is divided by i?
6
Suppose 0*m - 4*m = -5*p + 126, -4*p = -2*m - 96. What is the remainder when p is divided by 8?
6
Suppose 2*g = 161 + 37. Suppose -4*z = 3*u - 26, 2*z - u = 10 - 2. What is the remainder when g is divided by z?
4
Let b = -35 - -59. Calculate the remainder when b is divided by ((-3)/6)/(10/(-140)).
3
What is the remainder when 1*(-36)/21*-28 is divided by 25?
23
Let q(o) = -3*o**2 + 5*o**3 - 9*o - 4*o**3 + 3*o + 6. Let w be q(4). What is the remainder when 26 is divided by w - -7 - 8/(-4)?
5
Calculate the remainder when 153 is divided by (-210)/63*51/(-5).
17
Let k(v) = -v**3 + 8*v**2 + 10*v - 9. Let h be k(9). Suppose -5*g + 40 - 15 = h. What is the remainder when 24 is divided by g?
4
Let j(m) = -14*m - 62. What is the remainder when 55 is divided by j(-5)?
7
Let r(n) = -5 - 4*n**2 + 4*n + 0*n**2 + 3 - 6*n. Let o be r(3). Let b = o - -68. What is the remainder when 71 is divided by b?
23
Suppose 3*l = 54 + 3. Let d = 34 - l. What is the remainder when 57 is divided by d?
12
Let b = -1750 - -1842. What is the remainder when b is divided by 3?
2
Let o = 26 + -18. Let m(q) = -q**3 + 10*q**2 - 24*q + 164. Calculate the remainder when m(9) is divided by o.
5
Suppose 3*o + 2*v - 890 = 0, 12*o = 9*o + 5*v + 904. Calculate the remainder when o is divided by 60.
58
Let a(q) = -q**2 - 36*q - 239. What is the remainder when a(-13) is divided by 21?
18
Let z be 4/(-18) - (-94)/18. Suppose -4*h - z*r = -321, 5*r + 324 = 4*h + 53. Let i = 124 - h. What is the remainder when i is divided by 17?
16
Let b be (-1 - 50)*2/3. Let i(f) = f**2 - 24*f + 22. Let z be i(22). Let x = z - b. What is the remainder when 47 is divided by x?
11
Suppose 0 = -3*j - b + 231, 7*j - b = 2*j + 377. Let k(c) = c**2 + 55*c - 2534. Calculate the remainder when j is divided by k(30).
12
Suppose 10 = n - 2*p - 3*p, -3*n - 4*p - 8 = 0. Suppose n = 5*o - 111 - 74. Calculate the remainder when o is divided by 10.
7
Suppose -2*r - 130 = -5*r - 5*z, -4*r + 164 = 2*z. What is the remainder when 58 is divided by r?
18
Let g(a) = a**2 - 8*a - 19. What is the remainder when (20/(-4))/(3 - 32/10) is divided by g(11)?
11
Let v(a) = 2*a**2 + 3*a - 4. Let i be v(-8). Let p = 115 - i. What is the remainder when p is divided by 1 + -2 + 5 + 2?
3
Let i(c) = 2*c - 32. Calculate the remainder when i(30) is divided by 21.
7
Let d = -11 - -17. Let k(l) = 0 - 1 + 18*l - 10*l + 9*l. Calculate the remainder when k(1) is divided by d.
4
Let o(i) = -i**2 - 6*i + 1. Let s be o(-7). Let w be ((-2)/s)/((-8)/(-120)). Suppose t + w*j = 36, j - 4*j = 0. Calculate the remainder when t is divided by 13.
10
Suppose -2*n + 41 = -3. Let a(b) = 28*b**2 - b + 1. Let m be a(1). Suppose i - 35 = m. What is the remainder when i is divided by n?
19
Calculate the remainder when 78 + -2 + (-10 - 1) is divided by 22.
21
Let t = -26 - -24. Suppose 4*r = 5*g - 79, -g - 3*g + 59 = r. What is the remainder when ((-4)/t)/((-14)/(-301)) is divided by g?
13
Suppose 57*y + 8*y = 1170. Suppose 20 = q + q + 3*m, 4*q = 2*m + 40. Calculate the remainder when y is divided by q.
8
Let k = 18 + -16. Let p(b) = 1 + k*b**2 - 6*b - 3*b - 3*b + 4*b. What is the remainder when 97 is divided by p(6)?
22
Let j = -231 - -271. Suppose -4*g = -2*g - 156. Calculate the remainder when g is divided by j.
38
Suppose 0 = 28*d - 1559 - 1297. What is the remainder when 915 is divided by d?
99
Let h(a) = 7*a - 93. Calculate the remainder when 91 is divided by h(20).
44
Let j = -18 - -30. Let y = -625 + 662. What is the remainder when y is divided by j?
1
Let x(t) be the third derivative of -65*t**4/24 - t**3/3 - 13*t**2. Calculate the remainder when x(-1) is divided by 33.
30
Let d = -56 + 56. Suppose 7*j - 13*j + 84 = d. What is the remainder when 69 is divided by j?
13
Suppose 5*t - t - 80 = 0. Suppose 15 = 3*q, -2*k + 4*q - t = k. Calculate the remainder when 28 is divided by 13 + 4 - (2 + k).
13
Let c = -3 + 9. Let t(z) = -z + 13. Let f be t(8). Suppose 5*x = -f*u + c + 9, -u + 31 = 5*x. Calculate the remainder when 20 is divided by x.
6
Let t = -74 - -124. Suppose 13*z + 72 = 17*z. Calculate the remainder when t is divided by z.
14
Suppose 3*w = -4*c - 0*c + 241, -c + 55 = -w. Let f = -26 - -46. What is the remainder when c is divided by f?
18
Let d = 1403 - 1114. What is the remainder when d is divided by 10?
9
Suppose 2*k = 4*h + 4, 4*h + h = 4*k - 8. Let q(b) = -b + 104. Calculate the remainder when q(h) is divided by 27.
23
Suppose 1150 = -65*u + 70*u. What is the remainder when u is divided by 139?
91
Suppose 4*q = 85 + 7. Suppose 49 = 8*d - q. What is the remainder when 40 is divided by d?
4
Let h be 11/22 - 29/(-2). Suppose -h = k - 97. Suppose 3*s - 4*t - 67 = 0, -3*s + 49 = -3*t - 17. What is the remainder when k is divided by s?
19
Let g = -17 - -19. Let d(r) = -r - 1. Suppose -11 = 7*p - 6*p. Calculate the remainder when d(p) is divided by g.
0
Suppose -945 = 3*g - 10*g. Calculate the remainder when g is divided by 39.
18
Suppose -x + 19 = 3*y, -y + 4*x - 6 = y. Let w(u) = u**3 + 8*u**2 + 9*u - 1. Calculate the remainder when w(-6) is divided by y.
2
Let f = 484 - 463. What is the remainder when f is divided by 7?
0
Suppose 4*u - f - 154 = 159, -5*u + 410 = 5*f. Suppose 52 - u = -w. What is the remainder when 72 is divided by w?
18
Let c(p) = -p**3 - 29*p**2 + 26*p + 53. Calculate the remainder when c(-30) is divided by 50.
23
Let m be ((-28)/(-16))/(6/24). Let g = m + 34. Calculate the remainder when g is divided by 11.
8
Suppose -m = 3*w - 4*w + 9, -5*w - 3*m = -37. What is the remainder when 3/(-12) + 157/4 is divided by w?
7
Suppose -5*s = -0*s - 30. Suppose -s*j + 99 = -333. What is the remainder when j is divided by 15?
12
Let z(t) = 12*t - 34. Let x be z(3). What is the remainder when (4 + 0)*41/x is divided by 42?
40
Let y be (-3)/3 - 2 - -55. Suppose y - 10 = 3*f. Calculate the remainder when 25 is divided by f.
11
Let y be -3*(2 + (-4)/(-12)*-7). What is the remainder when 50 is divided by ((-54)/36)/(y/(-18))?
23
What is the remainder when 2/(-6) + (-160)/(-3) is divided by -9*15/6*68/(-85)?
17
Suppose -24*b = -164 - 292. What is the remainder when b is divided by 18?
1
Let a(z) = z**3 + 16*z**2 - 17*z + 19. Suppose -3*c = 2*