at is the remainder when x is divided by 21?
19
Suppose h = -5*u + 21, 3*u = -5*h - 7 + 2. Suppose 5*b + 73 = 3*c + 4*b, -5*c + 135 = -u*b. Calculate the remainder when 114 is divided by c.
22
Let n(k) = 16*k - 136. Calculate the remainder when 1453 is divided by n(15).
101
Let k = 26 + 391. Suppose -332 = -7*o + k. Calculate the remainder when o is divided by (3/(-2))/(1/(-18)).
26
Let k(s) = s**3 - 13*s**2 + 2*s - 3. What is the remainder when 108 + (315/60 - 2/8) is divided by k(13)?
21
Let m(k) = 99*k**2 - 23 + 3*k + 21 - 3*k. Calculate the remainder when m(-1) is divided by 34.
29
Let f(w) be the second derivative of -w**5/20 - w**4/12 + w**3/2 - w**2 - 18*w. What is the remainder when f(-4) is divided by 18?
16
Let g(d) = -2*d**2 + 8*d - 5. Suppose 3*m = -2*c - 8, 7 = 3*c + 5*m + 21. What is the remainder when 18 is divided by g(c)?
0
Suppose a - 2*f - 198 = 0, a - 3*f + 603 = 4*a. Suppose -a - 121 = -3*p. What is the remainder when p is divided by 27?
26
Let i(x) = -x + 7*x - 5 + 2*x**2 + 0*x + 0*x**2. Suppose v + 4*r + 3 = 2*v, 11 = -v - 3*r. What is the remainder when 28 is divided by i(v)?
13
Let v(f) = f**2 - 5*f - 11. Calculate the remainder when v(7) is divided by 1.
0
Let t(l) = -4*l - 7. Let o be -2 + 2/(-4)*-14. Let y be (o/2)/(3/(-6)). Calculate the remainder when 37 is divided by t(y).
11
Let c = -14 - -16. Suppose -m + c*s = -22 - 8, 4*s = 4*m - 136. Calculate the remainder when m is divided by 14.
10
Let l(t) = t + 4. Let y be 3 - 124/(-4)*-1. Calculate the remainder when y/(-6)*9/6 is divided by l(-2).
1
Suppose -l - 2 = 0, 2*a - 2*l - 2*l + 278 = 0. Let q = -93 - a. Let f = -12 - -25. Calculate the remainder when q is divided by f.
11
Suppose 3*x + 7 = -2*m, -4*m + 7 = 5*x + 16. Let r be 360/10*m/6. Let t = r + -14. What is the remainder when 28 is divided by t?
8
Let y = -760 - -952. What is the remainder when y is divided by 5?
2
Suppose 9*y - 5*k = 4*y + 95, -5*y + 95 = -2*k. Suppose -5*x + 3*i + 23 = -15, 5*i + 33 = 4*x. Calculate the remainder when y is divided by x.
5
Suppose -q + 601 = 3*l, 2*l = 4*l + q - 401. What is the remainder when l is divided by 20?
0
Let d(y) = -y + 22. Suppose 2*f - 34 = 3*k, -3*f + 5*k - 17 = -70. Calculate the remainder when d(3) is divided by f.
8
Calculate the remainder when 263 is divided by (4 - 30/4)*504/(-49).
11
Suppose -64*v - 1467 = -4219. What is the remainder when 82 is divided by v?
39
Let b be 9/(((-1)/(-6))/1). Let j = 70 - b. What is the remainder when j is divided by 6?
4
Let v = -34 + 68. Let q(i) = 14*i**2. Let g be q(-1). Let x = 26 - g. Calculate the remainder when v is divided by x.
10
Let m = 79 - 69. Suppose -267 = -m*k + 7*k. What is the remainder when k is divided by 18?
17
Suppose b + b + 8 = 0. Let n = -1 - b. Suppose 3*u = -0*u + 12. Calculate the remainder when u is divided by n.
1
Suppose 3194 + 2446 = 15*a. What is the remainder when a is divided by 93?
4
Let v = 285 + -265. What is the remainder when 298 is divided by v?
18
Let b(c) = c**3 + 9*c**2 + 11*c - 26. Let a(x) = -x**2 + 2*x - 1. Let p(n) = 5*a(n) - b(n). What is the remainder when p(-14) is divided by 18?
17
Let h(b) = 2*b**2 - 34*b + 92. Calculate the remainder when h(16) is divided by 14.
4
What is the remainder when 58 is divided by -4 + 8 + 3 + (-3)/(-1)?
8
Calculate the remainder when 15/18 + 1446/36 is divided by 22.
19
Let o = 1449 + -1398. What is the remainder when o is divided by (2 + 11)/((-2)/(-2))?
12
Let w be (-796)/(-18) - 2/9. Suppose 5*l = -4*q + 201, -2*q + l + 39 = -w. Suppose -7*h + q = -3*h. What is the remainder when h is divided by 6?
5
Suppose 0 = 264*y - 527*y + 271*y - 104. What is the remainder when y is divided by 80/14 + 6/21?
1
Let z be (-28)/(-6) + 12/(-18). Suppose z*x = -3*m - m + 348, 0 = 2*x + m - 170. Suppose 2*h - x = -23. Calculate the remainder when 118 is divided by h.
28
Suppose 4*a - 4 = -2*u, -2*u + 11 = 11*a - 14*a. Suppose -5*t - 13 + 38 = 0. Suppose u*m = t*m - 7. What is the remainder when 27 is divided by m?
6
Suppose -2*l + 5*l = 5*b - 438, 2*l + 89 = b. Suppose -4*v + 209 = -b. Calculate the remainder when v is divided by 19.
17
Suppose 2*t - 2 = 8. Suppose t*b - 2 - 113 = 0. Calculate the remainder when 91 is divided by b.
22
Suppose 3*f - 4*f = -61. Let r(z) = 2*z**3 + 19*z**2 - 12*z + 1. What is the remainder when f is divided by r(-10)?
19
Suppose 2231 = 19*t + 825. What is the remainder when t is divided by 7?
4
Suppose 3*v - 50 = -35. Suppose 2*c - v = 3. What is the remainder when c is divided by 1?
0
Let b = -54 + 56. Suppose -b*t = -w - 48 + 1, t - 26 = w. What is the remainder when 82 is divided by t?
19
Suppose 2*t = 3 + 1. What is the remainder when (-58)/(-145)*(-30)/(-4) is divided by t?
1
Suppose 14*b - 10 = 12*b, -3*b + 25 = 2*q. Calculate the remainder when 189 is divided by q.
4
Let r = 19 + -24. Calculate the remainder when (0 + 1)/(r/(-115)) is divided by 8.
7
Let k = 143 - 78. Suppose -k = 6*g - 215. Calculate the remainder when 97 is divided by g.
22
Suppose -5*o + 2*s + 146 = -2*s, 0 = 2*o + 2*s - 44. Let v(a) = -o + 2*a - 4*a + 25. Calculate the remainder when 40 is divided by v(-6).
7
Let x = -693 + 746. What is the remainder when x is divided by 29?
24
Suppose 24*t + 2130 = 34*t. What is the remainder when t is divided by 27?
24
Let p = 2025 - 1314. What is the remainder when p is divided by 120?
111
Suppose -c + 0 + 4 = 0. Suppose -4*n - 1 = -s, -2*n - 2*n = -5*s + 69. Calculate the remainder when s is divided by c.
1
Let p = 124 - 97. Suppose 6*a - 1077 - 39 = 0. What is the remainder when a is divided by p?
24
Suppose 2*m = 4*x + 96, 3*m - 144 = 5*x - 2*x. What is the remainder when m is divided by 17?
14
Calculate the remainder when 0 + 88 - 50/25 is divided by ((-117)/(-12) - -1) + 1/4.
9
Suppose 0 = -3*t - 133 + 157. What is the remainder when 26 is divided by t?
2
Suppose -3*g - 8*t = -7*t - 1176, 5*t + 1587 = 4*g. Calculate the remainder when g is divided by 138.
117
Let j = -209 - -252. Calculate the remainder when 557 is divided by j.
41
Let m = -41 - -45. Calculate the remainder when 50 is divided by 114/m - 42/28.
23
Suppose -11*k = -215 - 2425. Calculate the remainder when k is divided by 82.
76
Let i(v) = 38*v**2 + v. Let m(f) = 3*f + 5. Let z(j) = -j + 11. Let k be z(6). What is the remainder when i(-1) is divided by m(k)?
17
Let k(l) = l**3 + 3*l**2 + 2*l - 11. Let z(s) = -2*s**3 - 3*s**2 - s + 12. Let p(v) = -3*k(v) - 2*z(v). What is the remainder when p(4) is divided by 7?
2
Let l = 10 - 5. Suppose 0 = 4*q - 5 - 23. Suppose -2*r - q = -3*r. What is the remainder when r is divided by l?
2
Let o = -10 + 15. Let k(u) = -2*u - 6. Let m be k(-3). Suppose m*p = -o*p + 75. Calculate the remainder when 42 is divided by p.
12
Suppose -9*j + 189 - 9 = 0. What is the remainder when 132 is divided by j?
12
Let y = -792 - -870. Calculate the remainder when 211 is divided by y.
55
Calculate the remainder when 30/40*5172/9 is divided by 31.
28
Suppose 0*n - 3*j = -4*n - 17, 19 = -3*n - 4*j. Let x(f) = 16*f - 4. Let c be x(2). Let u = n + c. Calculate the remainder when 68 is divided by u.
22
Let m(k) = k**3 - 21*k**2 - 29*k + 50. Let f be m(22). Let h = f + 197. What is the remainder when h is divided by 16?
13
Suppose 3*f = -5*n + 403, 4*f - 547 = -19*n + 22*n. Calculate the remainder when f is divided by 46.
44
Suppose -2*w + 14 = -2*t + 4, 5*t + 21 = 4*w. What is the remainder when (t/(-3))/(3/243) is divided by 6?
3
Let w(m) = -16*m + 90. Calculate the remainder when 129 is divided by w(4).
25
Calculate the remainder when 69 is divided by 2/(-4)*(-196)/7.
13
Suppose 6*j - 5 - 37 = 0. Suppose -j*o = -77 - 35. Calculate the remainder when 31 is divided by o.
15
Let x be 3 + -2 - -2*80. Let h = x - 96. Calculate the remainder when h is divided by 4/(-18) + (-620)/(-36).
14
Suppose -36*z = -31*z - 50. Suppose -4*r - 5*l + 41 = -2*r, -4*r = l - 73. Calculate the remainder when r is divided by z.
8
Suppose -2*s = 4*m - 0*m + 90, -40 = 3*m - 4*s. What is the remainder when 29 is divided by (48/m)/((63/60)/(-7))?
13
Suppose 3*l = 117 - 36. Let t(o) = -o**3 + 13*o**2 + 32*o - 24. Let f be t(15). Suppose -f*g + 50 = -5*g. What is the remainder when g is divided by l?
23
Calculate the remainder when (-1 + (-4)/(-6))*-87