- 8*n = -12*n - 12. What is the remainder when (-4 - i) + -5 - -251 is divided by 21?
19
Let t = -80 - -133. Let o = -151 + 181. Let m = t - o. Calculate the remainder when 45 is divided by m.
22
Suppose 2381 = 33*h - 4561 - 1935. Calculate the remainder when h is divided by 111.
47
Let s(k) = 2*k**2 - 5*k + 3. Let n be -1*1 + 9/(-4 + 1). Let d be (42/12 + n)/(1/(-6)). Calculate the remainder when 29 is divided by s(d).
5
Let w be ((-1)/(-1))/(20/60). Let i(o) = -8*o**2 + o**w + 9*o**2 + 8*o**3. What is the remainder when i(1) is divided by 6?
4
Suppose -180*n - 1157 = 98*n - 9775. What is the remainder when n is divided by (9/2)/((-2)/(-4))?
4
Let t = 215 + -217. Let n(w) = 17*w**2 - 13*w - 24. What is the remainder when n(t) is divided by 38?
32
What is the remainder when (38 + -50)*(-2786)/84 is divided by 70?
48
Let s = 478 + -384. Calculate the remainder when 449 is divided by s.
73
Let w = -37 - -17. Let t = 80 + w. Let x(k) = k + 42. What is the remainder when t is divided by x(-21)?
18
Let f(k) = -k**3 - 11*k**2 - 5*k - 30. Let x be f(-11). Suppose -2*m = -2*q - q + 17, -5*m = -x. Calculate the remainder when 34 is divided by q.
7
Suppose 94*a - 13416 = 8*a. Calculate the remainder when 271 is divided by a.
115
Let z(b) = 35*b**2 + 23*b + 8. What is the remainder when 5404 is divided by z(-2)?
100
Suppose 2*a + 152 = 162. Suppose a*b - 64 - 171 = 0. Calculate the remainder when 281 is divided by b.
46
Suppose -5*a + 2*t + 2*t + 667 = 0, 2*t = -2*a + 256. Let s(j) = 19*j**2 + 436*j - 436. Calculate the remainder when a is divided by s(-24).
43
Let i = 669 + -325. Let w = 636 + -630. Suppose w*m + i = 10*m. Calculate the remainder when m is divided by 15.
11
Let o(h) = h**3 - 59*h**2 - 851*h + 41. Let k = 65 + -23. What is the remainder when o(71) is divided by k?
28
Suppose 62 + 178 = 4*f. Suppose -3*x + 586 = -x - 2*p, 2*p + 1477 = 5*x. Let t = x + -276. What is the remainder when f is divided by t?
18
Suppose 50*c - 194*c - 25315 + 73555 = 0. What is the remainder when 346 is divided by c?
11
Calculate the remainder when 799 is divided by 12512/253 + 42/77.
49
Let d(f) = -22*f. Let a be (-4)/(-26) + (-150)/(-39). Suppose -9*w = -a*w - 170. Calculate the remainder when d(-3) is divided by w.
32
Suppose 6*o = -3*h + 123, 37*o + 3*h + 47 = 41*o. Calculate the remainder when 2046 is divided by o.
6
What is the remainder when 321 is divided by 43148/670 + (-3)/(-5)?
61
Let v = -35 + 64. Let z = 33 - v. Suppose -2*s + 13 = -g - 1, z*g + 32 = 5*s. What is the remainder when 13 is divided by s?
5
Suppose -10*c + 684 = -106. Suppose -3 = -w + 5. Suppose -108 = 4*h - w*h. Calculate the remainder when c is divided by h.
25
Suppose 0 = 2*z - 1 - 9. Let f be z - (0 - (1 - 1)). Suppose 2*m + 30 = -f*s + 107, -2*s + 28 = -2*m. What is the remainder when 54 is divided by s?
9
Suppose 0*g - 14*g + 4494 = 0. Let o = g + -295. Calculate the remainder when 386 is divided by o.
22
Let d(z) = -2*z**3 + 5*z**2 + 5*z - 2. Calculate the remainder when d(-4) is divided by ((-1)/6)/(((-8)/(-940))/((-72)/30)).
45
Suppose 720*y = 726*y + 2916. Let j = y + 512. Calculate the remainder when j is divided by 13.
0
Suppose 10 = -3*l + 4*z, -5*l + 2*z - 60 = 4*z. What is the remainder when (-3)/(2 + -3)*13 is divided by (-84)/l*10/6?
11
Let a(h) = -h + 16. Suppose 21*b + 22 = -62. What is the remainder when 37 - (0 + b + -1) is divided by a(0)?
10
Suppose 2*o = -5*m + 146, 4*m + 2*o - 435 = -319. Let r(l) = 18*l**2 - 2*l + 3. Calculate the remainder when r(2) is divided by m.
11
Let l(q) = 6*q**2 + q - 2. Calculate the remainder when (-3090)/2575 + 672/10 is divided by l(-2).
6
Suppose 5*j + 2*r - 124 = 0, -2*j - 6 = 4*r - 46. Suppose -3604*z + 3625*z = 1008. Calculate the remainder when z is divided by j.
22
Calculate the remainder when 22195 is divided by ((-13)/((-26)/(-28)))/((-19)/((-931)/(-14))).
47
Let h = -103416 - -103618. What is the remainder when h is divided by -3*((-74)/6 - -1)?
32
Suppose -165 = -3*b + 3*q, 0 = 12*b - 7*b + 4*q - 275. Suppose -b = -6*t + 4*t + s, -t + 5*s + 50 = 0. Calculate the remainder when t is divided by 16.
9
Suppose -158*o = -155*o - 4*k - 79, 3*k = -9*o + 87. Suppose -r + 34 + 27 = 0. What is the remainder when r is divided by o?
9
Let m be 2/(-7) + (-2622)/(-14). Suppose -m = -4*f - 3*v, -2*v = -2 - 8. What is the remainder when f is divided by 33/12*24/(-84)*(-13 - 1)?
10
Suppose -12026 = -12*c - 434. Calculate the remainder when c is divided by 5.
1
Let p = -6271 + 6308. What is the remainder when p is divided by 12?
1
Suppose 0 = -27*r + 38*r - 594. Suppose -42 = -61*p + r*p. Calculate the remainder when 21 is divided by p.
3
Let q be 7*((-234)/(-42))/13. Let n(c) = 7*c - 7. Let t be n(8). Suppose q*i - 87 = 4*z + t, -2*i + 4*z + 88 = 0. What is the remainder when i is divided by 17?
14
Let b(d) be the third derivative of d**5/5 - d**4/12 - d**3/6 + 19*d**2. Let w be b(2). Suppose 358 - w = 7*m. What is the remainder when m is divided by 16?
13
Let m(n) = n**2 + 14*n. Let y be m(-9). Let s = y - -47. What is the remainder when 1 is divided by (-3)/s - 40/(-16)?
0
Suppose 436*n - 97785 - 162071 = 0. Calculate the remainder when n is divided by 86.
80
Suppose 3*l + 26 = 71. What is the remainder when 1702 is divided by l?
7
Let r(x) = -x - 8. Let b be r(-10). Suppose 2*c = -b*t + 116, 0*t + 3*t = 5*c - 266. Calculate the remainder when c is divided by 10856/782 - (-2)/17.
13
Let j = -57 + 52. Let n(g) = 2*g**2 + 7*g + 8. Calculate the remainder when 64 is divided by n(j).
18
Suppose -188*j = -71*j - 18486. Calculate the remainder when j is divided by 61.
36
Suppose -10*r = -7*r - 2*y - 307, 0 = -3*r - 3*y + 312. Calculate the remainder when r is divided by 21.
19
Let f = -411 - -637. Suppose 9*j - 442 + f = 0. What is the remainder when 137 is divided by j?
17
Let z = 1064 + -1034. Suppose 18 = 2*g - 14. Suppose o + o = g. Calculate the remainder when z is divided by o.
6
Let r = -256 + 238. Calculate the remainder when 85 is divided by (-54)/12*3/r*8.
1
Let q = 26940 + -26905. Calculate the remainder when 1118 is divided by q.
33
Let s(o) = 5*o - 21. Let b be s(5). Suppose 5*d = -3*m - 1 + 40, 0 = -5*d + b*m + 53. Calculate the remainder when (1/1 + 1)*(-78)/(-12) is divided by d.
4
Calculate the remainder when 154 is divided by ((-18)/(-20))/((-42)/70)*(-64)/6.
10
Let n(j) = 115*j + 6860. What is the remainder when n(-56) is divided by 73?
55
Suppose 10*p - 2*h = -5*p + 354, -4*p + 2*h + 90 = 0. Calculate the remainder when 56 is divided by p.
8
Let h = 11 + -20. Let s = 5 - h. Let y = -1361 - -1398. Calculate the remainder when y is divided by s.
9
Let b = -22456 + 22896. What is the remainder when 478 is divided by b?
38
Let g be 3/4*6*20/45. What is the remainder when (32/32)/((g*1)/674) is divided by 26?
25
Suppose -4*c = p - 101, p - 101 = 87*c - 83*c. Calculate the remainder when 2805 is divided by p.
78
Suppose 2*q - 16 = 36. Let m be (-36)/6 + (-5)/(20/(-132)). Let v = m + q. What is the remainder when 210 is divided by v?
51
Let q(s) = 10*s. Let h be q(-12). Let o = h + 200. Suppose -n = 4*p - 39, -3*n + 4*p + 57 + 12 = 0. What is the remainder when o is divided by n?
26
Let f(m) = -m**3 + 8*m**2 + 22*m + 14. Let v be f(10). Let x(j) = -j**3 + 35*j**2 - 33*j - 18. Calculate the remainder when 30 is divided by x(v).
14
Let n(s) = 2*s**3 + 126*s**2 - 523*s - 14. Let r(f) = -4*f**3 - 2*f**2 + 2*f. What is the remainder when n(4) is divided by r(-2)?
18
Let l = 94 + -60. Suppose -2*d + 217 = w, 4*w = 2*d - 366 + 124. Suppose -285 = -3*i + 3*t + t, -d = -i - 4*t. What is the remainder when i is divided by l?
31
Let u be (3/((-21)/(-56)))/((-2)/(-72)). Suppose 0 = 8*f - 1408 - u. Calculate the remainder when f is divided by 56.
44
Let z be (-9)/21 + 103*(-45)/(-35). Calculate the remainder when (-18)/(-1)*968/z is divided by 31.
8
Let k = 192 - 138. Suppose -k*v + 52*v = -106. Calculate the remainder when v is divided by 5.
3
Suppose 4*r + 98 = w, -5*r + 134 = w - 0*r. Suppose -11 - 24 = 7*k. Calculate the remainder when w is divided by 0 + (-193)/(-5) + (-2)/k.
36
Let q = 12 + 8. Suppose -27*f + 46*f + 665 = 0. Let o(z) = z**2 + 37*z + 109. Calculate the remainder when o(f) is divided by q.
19
Suppose 23919 = 38*x - 