.
17
Let u(i) = -7*i**3 - i**2. Let x be u(-1). Let r(t) = -t**3 + 6*t**2 + 2*t + 2. Calculate the remainder when 40 is divided by r(x).
12
Let g = -26 + 81. Let d(x) = 52*x - 3. Let o be d(-1). Let z = -41 - o. What is the remainder when g is divided by z?
13
Suppose 16*m + 4*m = 380. Let o(w) = 3*w**2. What is the remainder when m is divided by o(-1)?
1
Let c(t) = -t + 32. What is the remainder when c(-31) is divided by 17?
12
Let y(t) = 3*t**2 + 4*t - 22. Calculate the remainder when y(6) is divided by 14.
12
Suppose 4*s - 5*q - 90 = 2*s, 0 = 5*q. Let z = 78 - 75. Let w(h) = 2*h**2 + 4*h - 7. What is the remainder when s is divided by w(z)?
22
Let d(j) be the third derivative of j**6/120 + 7*j**5/60 + 11*j**4/24 + 11*j**3/6 - j**2. Let s = -3 - -14. What is the remainder when s is divided by d(-5)?
5
Let o = 128 - 11. What is the remainder when o is divided by 24?
21
Suppose -l = 2*s - 6*s - 34, 0 = -3*l + 5*s + 102. Let f(m) = -33*m + 1. Calculate the remainder when f(-2) is divided by l.
33
Let p(v) = -v**3 - 3*v**2 + 29*v + 11. What is the remainder when 292 is divided by p(-8)?
94
Suppose 25*b - 21*b = 2188. What is the remainder when b is divided by 55?
52
Let z be (-1)/(495/1659 - (-10)/(-35)). What is the remainder when 1*214*(-4)/(-8) is divided by 14/21 + z/(-3)?
26
Let t(a) = 24*a**2 + 4*a - 5. What is the remainder when t(-4) is divided by 28?
27
Let d = 32 - 12. Let i be -6 - (-6)/(1 + 1). Let w = d - i. What is the remainder when 44 is divided by w?
21
Let q = 311 + -264. What is the remainder when 375 is divided by q?
46
Suppose -604 = -41*v + 11532. What is the remainder when v is divided by 60?
56
Let f(d) be the first derivative of -d**4/4 + 8*d**3 - 23*d**2 + 51*d - 28. Calculate the remainder when 10 is divided by f(22).
3
Let x(b) = -4*b - 8. Let p be (18/(-8))/((-18)/(-48)). Let n be x(p). Suppose -a = 5*u - n - 82, u = 5. Calculate the remainder when a is divided by 25.
23
Suppose 125*m = 121*m + 136. Suppose -79*x - m = -81*x. What is the remainder when 67 is divided by x?
16
Let b = 654 - 646. Calculate the remainder when b is divided by (9/(-4))/((-15)/40).
2
Let c(w) = -3*w - 5. Let h be c(-4). Let j be ((-2)/(-6) + 0)/((-19)/114). Calculate the remainder when h + ((-12)/(-3))/j is divided by 3.
2
Suppose 7*s - 3*s - 86 = 2*y, -s = 3*y - 18. Calculate the remainder when 396 is divided by s.
18
Let w be 1156/(-17)*(-2)/(-4). What is the remainder when 37 is divided by w/(-17)*4*1?
5
Let l = -14 - -45. Let z = 550 - 542. Calculate the remainder when l is divided by z.
7
Let b(m) = 7*m**2 - 3*m + 11. What is the remainder when b(10) is divided by 62?
61
Suppose -2*y + 25 = 3*y. Suppose 16 = -o + 5. Let m(j) = j**3 + 12*j**2 + 10*j + 11. Calculate the remainder when m(o) is divided by y.
2
Let r be (-3)/(-15) + 32/(-10). Let o be r/(-2)*140/6. Suppose -3*x - 46 = -4*q, -2*x = -2*q - 13 + o. What is the remainder when 24 is divided by q?
11
What is the remainder when (-2976)/(-9)*18/24 is divided by 84?
80
Let h(o) = 4*o + 23. Calculate the remainder when h(8) is divided by 23.
9
Suppose 2*x + 14 = 2*b + 96, -82 = -2*x + 5*b. Calculate the remainder when x is divided by 7.
6
Let g be 4/(-16) - (-188)/(-16). Let r = g - -43. Calculate the remainder when r is divided by 17.
14
Suppose 0 = 2*j - 6, -5*j + 519 - 164 = -5*v. Let x = v - -118. Calculate the remainder when x is divided by 17.
16
Let p be 4/(-2)*55/(-10). Let c be (12/(-210)*-7)/((-3)/(-45)). Suppose p*h - 70 = c*h. What is the remainder when 40 is divided by h?
12
Suppose 5*g = -q + 1021, -3*g - 18*q + 19*q + 619 = 0. What is the remainder when g is divided by 91?
23
Calculate the remainder when (-295)/(-20) + 6/(-8) is divided by -2*2/(-4) + 7.
6
Suppose -72 = -15*h + 7*h. What is the remainder when 66 is divided by h?
3
Let w = 35 + -33. Suppose -w*q - 10 = -24. Calculate the remainder when 13 is divided by q.
6
Suppose 8*h - 9*h = -5. Suppose -3*j = 4*m - 11, 0*j + 4 = 4*j. What is the remainder when 17/(6/m + -2) is divided by h?
2
Let q be 12/(-66) + (-633)/(-33). Suppose -12*n + 11*n = -q. Calculate the remainder when 37 is divided by n.
18
Suppose 0 = -2*n + 20 + 2. Let g(v) = -2*v**2 + 2*v - 2. Let d be g(-3). Let w = d - -47. Calculate the remainder when w is divided by n.
10
Let a(d) be the first derivative of -d**3/3 + 5*d**2/2 + 11*d - 11. What is the remainder when 18 is divided by a(6)?
3
Suppose -265 = -q - c, -10*q = -14*q + 5*c + 1015. Calculate the remainder when q is divided by 87.
86
Let z be (21/(-14))/(1/(-2)). Suppose -4*y + g - 69 = 0, 0 = -3*y - 0*y + 2*g - 58. What is the remainder when 984/y*(-2)/z is divided by 15?
11
Let g(p) = -p**2 - 16*p + 397. Calculate the remainder when 71 is divided by g(-29).
11
Let u(j) = -8*j**3 + 19 - 7*j**2 + 5*j**3 + 5*j + 4*j**3. Calculate the remainder when 57 is divided by u(6).
5
Let c = 1211 - 1205. Let x be (-92)/(-5) + 4/(-10). Let d = x - c. Calculate the remainder when d is divided by 5.
2
Let d(m) = m + 22. Let z be d(-4). What is the remainder when 80 is divided by (-196)/(-42)*z/4?
17
Suppose -4*m + 8*m - 640 = 0. Calculate the remainder when (-1)/(-3) - (-2 - m/6) is divided by 5.
4
Suppose 3*c + 13 = -j + 32, 4*c + 44 = 4*j. Suppose 2*i + 30 = -3*i. What is the remainder when j is divided by ((-20)/(-3))/(-5)*i?
5
Let h = -133 + 389. Calculate the remainder when h is divided by 67.
55
Let h(w) = w + 20. Suppose -3*l - t + 2*t + 30 = 0, -2*t = 4*l - 30. What is the remainder when 115 is divided by h(l)?
28
Let m = -338 + 375. Calculate the remainder when m is divided by 3.
1
Let k(h) = -h + 3. Let b be k(8). Suppose -5*y - 2*f = -71, 0 = -2*y + 4*y + 5*f - 41. What is the remainder when 1044/45 + 1/b is divided by y?
10
Suppose 0 = 3*s - 4*s + 2*a + 14, 5*s - 5 = -3*a. Suppose 0 = -2*p - h + 73, -2*h - 230 + 72 = -s*p. What is the remainder when 150 is divided by p?
36
Let g = 5 - 17. Let z be (-2)/(16/12)*-10. Let v = g + z. Calculate the remainder when v is divided by 3.
0
Suppose -9*i + 3*i = -60. Calculate the remainder when 8854/(-95)*i/(-4) is divided by 18.
17
Let y = -285 - -287. What is the remainder when (-1)/(-3) - (-8)/3 is divided by y?
1
Suppose -50 + 160 = 5*z. Let l be (-2)/9 + (-656)/(-36). Suppose -v - 4*v = 4*r - 24, 3*r - l = 5*v. Calculate the remainder when z is divided by r.
4
What is the remainder when (10 + -1)/((-8)/(-3552)*18) is divided by 3?
0
Let s(a) = 22*a - 23. Suppose 4*l - 80 = 3*i, -3*i - 1 - 45 = -2*l. What is the remainder when s(2) is divided by l?
4
Let k(l) = -l**3 + 4*l**2 - l + 3. Suppose -22*y = -40*y + 558. What is the remainder when y is divided by k(3)?
4
Suppose w + 3*w - 8 = 0. Suppose -5*u - 5*r + 170 = 0, 3*u + 6*r = w*r + 97. Calculate the remainder when u is divided by 10.
9
Suppose 36*h - 28 = 8. Calculate the remainder when 19 is divided by h.
0
Let x = -23 - -45. Suppose 5*l - 12 - 48 = 0. What is the remainder when x is divided by l?
10
Let g be 2 + 11 - (2 - (-16)/(-4)). Suppose -42*v + g = -39*v. What is the remainder when 8 is divided by v?
3
Suppose -8*f = -5*f + 4*w - 59, -2*f - 5*w = -37. Calculate the remainder when 162 is divided by f.
15
Let b = 51 - 21. Suppose 0 = -5*n + 5*k + 200, -5*k - 56 = n - 2*n. Suppose 3*g - n = -3. What is the remainder when b is divided by g?
8
Suppose -8*t + 204 = -4*t. Suppose 4*s - 21 = 2*s + 5*i, -30 = -2*s + 2*i. Calculate the remainder when t is divided by s.
15
Suppose -17 = 4*c - 9. What is the remainder when (1/(-2)*2)/(c/46) is divided by 13?
10
Calculate the remainder when 6/(-45) + 124/30 - -931 is divided by 26.
25
Let b = -60 + 75. Suppose -4*o = -5*o + 18. Suppose 0*c = -2*c + o. What is the remainder when b is divided by c?
6
Let x(m) = 14*m - 1. Let z be x(1). Suppose -7 + 4 = k, -k = -c + z. Calculate the remainder when 15 is divided by (-38)/(-5) - (-4)/c.
7
Suppose -1580 = -54*o + 256. Suppose -g + 541 = 4*f, -263 = -0*f - 2*f + g. What is the remainder when f is divided by o?
32
Let p(t) = -t**3 - 28*t**2 - 87*t - 8. What is the remainder when p(-25) is divided by 59?
56
Let o(k) = k**3 + k + 5. Let x = -19 + 47. Calculate the remainder when x is divided by o(0).
3
Suppose 16*w + 93 = 5*d + 15*w, 13 = d - 3*w. Calculate the remainder when 141 is divided by d.
8
Let v be 