75*k = 66*k - 41990. What is the remainder when k is divided by 10?
5
Let l(w) = 18*w - 4. Let j(z) = -z + 1. Let x(i) = -2*j(i) - l(i). Let k be x(-1). Calculate the remainder when 35 is divided by 12 + (k/(-45) - 2/(-5)).
11
Let g(y) = -13*y - 4. Let f = -47 + 54. Suppose 2 + 12 = -f*h. Calculate the remainder when 42 is divided by g(h).
20
Let r = -1610 - -1664. What is the remainder when r is divided by (-1 - 1)*-1*5?
4
Suppose -4*s + 889 = 2*m - 5*m, -5*m - 895 = -4*s. Suppose 3*a - 13*a = -s. Suppose -7*t + 2*t = -320. What is the remainder when t is divided by a?
20
Let i(j) = 3*j - 54. Let v be i(16). Let m be (4/v)/(2/36). Let p(k) = k**2 + 8*k + 11. Calculate the remainder when p(m) is divided by 8.
3
Suppose 0 = 1086*n - 1315*n + 180223. What is the remainder when n is divided by 120?
67
Suppose -4*n + 102 + 265 = -3*h, 2*n = 2*h + 186. Let c be 11/(n/(-12))*(-1 + 143). Let r = -123 - c. What is the remainder when r is divided by 19?
14
Suppose 112*w - 9900 = 92*w. Let t = w + -481. What is the remainder when 1047 is divided by t?
11
Let i = -2653 + 10212. Calculate the remainder when i is divided by 27.
26
Let w(k) be the third derivative of 0 - 3/2*k**3 - 7/60*k**5 + 0*k + 1/120*k**6 + 12*k**2 - k**4. Calculate the remainder when w(10) is divided by 26.
25
Suppose -221 = -0*q - 7*q + 486. What is the remainder when 202 is divided by q?
0
Suppose -4*g = 2*g - 36. Let h be -1*-390*g/(-9)*-1. Suppose -9*c - h = -11*c. What is the remainder when c is divided by 33?
31
Suppose -22*x + 4*x + 198 = 0. Suppose -177 - 472 = -x*g. What is the remainder when g is divided by 30?
29
Suppose p - 207 = -5*w, 19*p - 945 = 14*p + 5*w. Calculate the remainder when p is divided by 50.
42
Let r = -375 + 445. Suppose -4*c + 64 = 4*x, 0*x + 3*c = 2*x - 42. Calculate the remainder when r is divided by x.
16
Let r(y) = 15*y**3 + 3*y**2 + 32*y - 11. Calculate the remainder when r(7) is divided by 18.
15
Suppose -y + 72 = h, -74 = -631*y + 630*y - 3*h. What is the remainder when 6815 is divided by y?
70
Suppose 0*k - 3*k + p + 297 = 0, p = 2*k - 198. Let w(l) = -17*l**3 - 86*l**2 - 9*l + 7. Calculate the remainder when k is divided by w(-5).
18
Suppose 450 = -17*c + 11*c. Calculate the remainder when (-6045)/c + (-3)/5 is divided by 27.
26
Let b(f) = 5*f**2 - 54*f + 154. What is the remainder when 5468 is divided by b(4)?
14
Let u = 881 - 890. Calculate the remainder when u/((138/80)/(-23)) is divided by 33.
21
Let c(o) = o**2 - 7*o - 46. Let j be c(-5). Suppose 5*p - 266 = -j*p. Calculate the remainder when 51 is divided by p.
9
Suppose 2*c - 3*x - 42 = 0, -49*c + 48*c + 5*x + 35 = 0. Suppose -m - c + 82 = 0. What is the remainder when 212 is divided by m?
11
Suppose -4*a + 3*a + 173 = 0. Let h = 5349 - 5329. What is the remainder when a is divided by h?
13
Let w be 5*((-942)/15 + 0). Let h = w + 332. What is the remainder when 89 is divided by h?
17
Let j(b) be the second derivative of b**4/12 + 2*b**3/3 + 5*b**2/2 + 102*b. What is the remainder when 195 is divided by j(6)?
0
Let s(d) = d**3 - 39*d**2 + 139*d + 97. What is the remainder when s(35) is divided by -1 + 1 - (-35 - 5)?
22
Suppose -41 = -2*a + 9. Let u be -17*(-5)/(-10)*(-72)/9. Suppose 0 = k - 3*d - 21, -4*k + 13*d + u = 9*d. Calculate the remainder when a is divided by k.
10
Calculate the remainder when (-10)/8 + 1681/820 + (-16744)/(-20) is divided by 34.
22
Suppose -6*b - 30 = -7*b. Suppose -5*i - 2*n = b, n + 5 = 2*n. Let u = i + 38. Calculate the remainder when u is divided by 11.
8
Let n(s) = s**3 + 7*s**2 - s - 8. Let d = 98 - 105. Let p be n(d). Let r(v) = 93*v**2 + 1. Calculate the remainder when r(p) is divided by 20.
14
Let f(b) = 2*b**2 - 4*b + 1. Calculate the remainder when 4/(-2) + 0 + (-932 + 8)/(-12) is divided by f(3).
5
Let m(j) = -j**3 - 26*j**2 - 56*j - 137. Calculate the remainder when 493 is divided by m(-24).
53
Suppose -44*y + 2062 - 258 = 0. Let z(l) = -l**2 + 16*l - 10. Calculate the remainder when z(11) is divided by y.
4
Suppose 0 = 3*p + 5*d - 106, 95*d + 4 = 2*p + 90*d. Calculate the remainder when 202 is divided by p.
4
What is the remainder when (4/(-12))/(2/2) - (-1711104)/1152 is divided by 79?
63
Suppose 0 = -5*y + 3*i - 218 + 1899, 2*y + 5*i = 660. What is the remainder when 1020 is divided by y?
15
What is the remainder when (7/21)/(7/4494) + 10 is divided by 25?
24
Suppose -105 = -4*v + 7*v. Let a = v + 37. Suppose 0 = -3*m + a*b - 4*b + 22, -3*m - 3*b + 18 = 0. Calculate the remainder when 17 is divided by m.
7
Let v be (20/(-15))/(9/(-3591)). Let b = 578 - v. Calculate the remainder when 59 is divided by b.
13
Suppose 0 = 51*m - 10189 - 4856. What is the remainder when m is divided by 283?
12
Let i(m) = 11*m**3 + 2*m + 2. Let v = 201025 - 200991. Calculate the remainder when i(3) is divided by v.
33
Let h(w) = -w**3 - 19*w**2 - 82*w - 269. Calculate the remainder when h(-15) is divided by 9.
7
Suppose -m - 3*m - 261 = 5*q, 0 = q - 4*m + 33. Let v = 58 + q. Suppose -2*s = -3*x + 94, x + 4*s - 27 - 23 = 0. What is the remainder when x is divided by v?
7
Suppose 31*x - 13886 = -3377. Suppose 0 = 2*t + 4*z - 256, 5*t + 3*z - 6*z = 575. Calculate the remainder when t is divided by 10057/x - (-1)/3.
28
Let u be 5 + -4 - 7 - -9. Suppose u*a = -3*m + 45, -7 + 10 = a - 5*m. What is the remainder when a is divided by 5?
3
Suppose -13*u = 6*u + 103 - 293. Let c be ((-4)/(-2))/(3/(-3)). What is the remainder when 3*(50/(-3))/c is divided by u?
5
Suppose -16*j = -13*j - 93. Suppose m - 83 + j = 0. Suppose -g - 54 = -2*z, 4*z - 56 - 40 = 5*g. Calculate the remainder when m is divided by z.
23
Let y = 51 + -56. Calculate the remainder when 257 is divided by -2 + 226/5 - (-1)/y.
42
Let m = -136 + 151. Suppose 0 = 82*q - 13316 - 2592. What is the remainder when q is divided by m?
14
Let s = -13055 - -13272. Calculate the remainder when 1336 is divided by s.
34
Let c(g) = 24*g**3 + 17*g - 18. Calculate the remainder when 29 is divided by c(1).
6
Suppose 885 = -69*w + 84*w. What is the remainder when 108 is divided by w?
49
Suppose 0 = -j - 2*j + 231. Let w = -500 - -433. Let q = 80 + w. Calculate the remainder when j is divided by q.
12
Suppose -543*r + 538*r = 10, 3*y - 641 = r. Calculate the remainder when 872 is divided by y.
20
Let p = -4946 + 5020. Calculate the remainder when 440 is divided by p.
70
Suppose 2*b - 2 - 8 = 0. Let s = 174 - 88. Suppose 4*z - 76 = 3*w, s = 2*z + 4*w + 26. Calculate the remainder when z is divided by b.
2
Let v(l) = 2*l + 16. Let k be v(-5). Let q = 21 - k. Calculate the remainder when 14 is divided by (-2 + 0)/(q/(-30)).
2
What is the remainder when 634 is divided by ((-46)/(-3) + -2)*(-2 + 330/75)?
26
Suppose -3*r - 12880 = -42*r - 17*r. What is the remainder when 911 is divided by r?
221
Suppose -7*i + 116 = -3*i. Suppose m - i = -32. Calculate the remainder when -3 + 50 + (0 + m - -6) is divided by 19.
12
Suppose -13*u + 8*u + 175 = 0. Suppose u = 31*y - 26*y. Suppose -8*c + 15 = -y*c. Calculate the remainder when 73 is divided by c.
13
Suppose 0 = 6*l - 3*l - 72. Let a = -289 - -283. What is the remainder when ((-6)/(-27))/(a/(-5157)) is divided by l?
23
Suppose 70 + 254 = 3*h - 5*b, 4*b - 324 = -3*h. What is the remainder when h is divided by (6/(-5))/((-1788)/2520 - (-12)/18)?
24
Suppose 5*p + 3*k = 13, 0 - 2 = -2*k. Let u = -108 - -118. Suppose 0 = -9*j + u*j - 18. What is the remainder when j is divided by p?
0
Let u = 33 - 29. Suppose -5*x + o + 18 = -0*o, 0 = u*x + 2*o - 6. Suppose x*b - 3*g = 52 + 158, 4*b = g + 271. Calculate the remainder when b is divided by 17.
16
Calculate the remainder when (13 + 5 + -11)*72/14 is divided by 23.
13
Let u = -12397 + 12473. Suppose -8*z + 3*z = -3035. What is the remainder when z is divided by u?
75
Calculate the remainder when 10048 is divided by -8*(-262)/32 + 6/4.
65
Let x(a) = -37*a**3 - 7*a**2 + 5*a - 18. What is the remainder when x(-4) is divided by 171?
166
Suppose 5*m + 5*r = 600, -2*m - r = -4*m + 231. What is the remainder when m is divided by 3 + ((-8)/(-6) - (-42)/(-18))?
1
What is the remainder when 646 is divided by (-17 - -5)/((-13)/39)?
34
Suppose -4*r + 196 = -3*s + 7*s, 2*s + 8*r - 110 = 0. What is the remainder when 5342 is divided by s?
31
Suppose -143 = -2*f +