 remainder when x is divided by 21.
8
Let r = -105 + 65. Let y = r - -64. Calculate the remainder when 91 is divided by y.
19
Let a(g) = -4*g - 3. Let w be a(-3). Suppose 5*p + 3*d = 3*p - w, 0 = -4*p - 4*d - 8. What is the remainder when (-48)/9*p/(-2) is divided by 5?
3
Let h(s) = -26*s + 193. What is the remainder when 1306 is divided by h(7)?
8
Suppose -5*l + 3*r = -742, 2*r + 0 = 2. What is the remainder when l is divided by 10?
9
Let b = -576 + 684. Calculate the remainder when b is divided by 54.
0
Suppose 4*n - 81 = -3*a + 91, 4*n - 2*a = 192. Calculate the remainder when 91 is divided by n.
45
Let i be 0*2/12*6. Let z(g) = g**3 - g**2 + 2*g + 3. Calculate the remainder when z(4) is divided by (1 + i - 11)*(-24)/16.
14
Suppose -84 = -4*i + 148. Suppose m - 42 = -5*j + 60, -j + 18 = -m. What is the remainder when i is divided by j?
18
Let l(q) = q**2 + 6*q - 1. Let u be (2 - (-39)/(-3)) + 4. Calculate the remainder when 17 is divided by l(u).
5
Calculate the remainder when ((-16)/(-1) + -1)*1 is divided by (3 - (-33)/(-12))*(-13 + 41).
1
Let i = -12 - -11. Let m = -58 - -58. Calculate the remainder when 99 is divided by (-1 - i) + 25 + m.
24
Suppose -h - 1 = 4*v - 12, -5*h = -5*v + 45. Suppose -v*x + 47 = -61. Calculate the remainder when 51 is divided by x.
24
Suppose 8*w + 1008 = 11*w. Suppose 4*p - w = 92. What is the remainder when p is divided by 27?
26
Let p be ((-50)/15 - -3)*-9. Suppose z - 291 = -4*d, -p*d + 241 = 3*z + 34. What is the remainder when d is divided by 26?
22
Suppose 3*x + 807 = 6*x. Suppose -453 = -5*l + h, -l + 4*l - 2*h - x = 0. Calculate the remainder when l is divided by 23.
22
Suppose 15 = -2*m + m + 3*b, -4*m = -b + 5. Suppose m = -l - 4 + 5. Calculate the remainder when 36 is divided by (0 + l)*(8 + 5).
10
Suppose -3*t = -7*t + 268. Calculate the remainder when t is divided by 12/(-54) + -2 + 146/9.
11
Suppose -4*q - 198 = -t, 0 = -2*q - 4*t - 136 + 28. Suppose -d = 3*j + 89, 3*d - d = 8. Let w = j - q. What is the remainder when 54 is divided by w?
16
Suppose -5 - 6 = -k. Calculate the remainder when 163 is divided by k.
9
Suppose r + 2 = 3*g - 0*r, -2*g + 8 = -4*r. Let o(y) = y**2 + y + 43. Calculate the remainder when o(g) is divided by 16.
11
Calculate the remainder when (27 + -30)/((-2)/(-1556)*-3) is divided by 46.
42
Let q(u) be the third derivative of -11*u**4/24 + u**3 - u**2. Let d = 397 - 401. What is the remainder when q(d) is divided by 13?
11
Suppose -j = -2*j - 4. Let p(g) = -3*g - 6. Calculate the remainder when p(j) is divided by -4 + -3 + 11 + 1.
1
Suppose -2*f + 98 = p, -3*f + 198 = 2*p + 2*f. Suppose 0 = -5*i - 3*d + 126, d - 2 = -0. What is the remainder when p is divided by i?
22
Suppose -3*v - 199 = -2*m, 2*m - 241 = -5*v - 50. What is the remainder when m is divided by 33?
32
Suppose -j - 18 = 2*j. Let b be j/2 + 3 - -7. Let h(y) = y**2 - y - 13. Calculate the remainder when h(b) is divided by 10.
9
Suppose -97 = -8*a + 487. What is the remainder when a is divided by 25?
23
Suppose 0 = -30*x + 32*x. Calculate the remainder when 18 + (x - (-4)/(-8))*4 is divided by 7.
2
Suppose -2*o + 65 = -2*t - 21, -3*o = 2*t - 109. What is the remainder when 62 is divided by o?
23
Suppose -4*c + 3*c = -2. Suppose -3 + 19 = c*w. What is the remainder when 3/6 - 61/(-2) is divided by w?
7
Let i(h) = -34*h + 109. Calculate the remainder when 222 is divided by i(3).
5
Suppose -23*o + 4316 + 215 = 0. Calculate the remainder when o is divided by 22.
21
Let i = 20 + 6. Let o = 36 - i. What is the remainder when 35 is divided by o?
5
Let r(j) = 4*j**2 + 10*j - 13. Calculate the remainder when 470 is divided by r(3).
46
Let z be ((-5)/(-4))/(27/(-36) - -1). Suppose 324 = j + z*j. What is the remainder when j is divided by 7?
5
Let c(z) be the first derivative of -z**5/4 - z**4/6 - 6*z + 1. Let s(j) be the first derivative of c(j). What is the remainder when s(-2) is divided by 11?
10
Suppose 0 = -6*u + 50 + 34. Calculate the remainder when u is divided by 4.
2
Let k(j) = j**3 - 5*j**2 + 5*j - 1. Let q be k(4). Suppose -q*w = -0*w - 39. Calculate the remainder when (3 - 3) + (w - 1) is divided by 8.
4
Suppose -3*o - o = -80. Let s(a) = -13*a - 22. Calculate the remainder when o is divided by s(-2).
0
Let z = 1 + 18. Let o(b) = -9*b + 7. Let f(s) = -4*s + 3. Let r(y) = 5*f(y) - 3*o(y). Calculate the remainder when r(6) is divided by z.
17
Let b(q) = q. Let f(t) = -t. Let w be f(-1). Let y(g) = -2*g + 12. Let k(l) = w*y(l) + 3*b(l). What is the remainder when 3 is divided by k(-9)?
0
Suppose 2*v = -118 + 28. Suppose 9*z + 15 = 249. Calculate the remainder when z is divided by (-395)/v - 4/(-18).
8
Suppose -922 - 2510 = -12*n. What is the remainder when n is divided by 6?
4
Suppose 0 = f - 1 - 13. Let g(z) = -12*z**2 - 9*z + 39. Let y be g(6). What is the remainder when (3 - y/9) + 1/3 is divided by f?
11
Suppose 4*c + c = -3*h + 59, -132 = -4*h + 4*c. Calculate the remainder when 137 is divided by h.
25
Suppose 5*f - 4*r = -r + 68, -2*f + 48 = 4*r. Let b(g) = -g**3 + 14*g**2 - 7. Let z be b(14). Let v = z + 13. Calculate the remainder when f is divided by v.
4
Suppose 0 = 2*i - 3*a - 19, -5 = -3*a - 2*a. What is the remainder when 24 is divided by i?
2
Let c = 1298 + -2120. Calculate the remainder when (-2)/(c/(-207) - 4) is divided by 36.
33
Suppose 4*c = 5*c - 59. What is the remainder when c is divided by (6/4)/((-76)/80 + 1)?
29
Suppose 4*h - 167 - 25 = 0. What is the remainder when h is divided by (14 + (-299)/52)*(-8)/(-3)?
4
Let o(s) = s**2 + 10*s + 18. Let r be o(-8). Let c = r + 31. Let m(g) = g**3 + 5*g**2 + 1. What is the remainder when c is divided by m(-4)?
16
What is the remainder when 90 is divided by 1/(-1) - (-16)/(112/175)?
18
Let x be 22*-2*1/(-4). Let r = 27 + x. What is the remainder when 72 is divided by r?
34
Let k be (-1 + 3 - 0)/(-2) - 26. Let v = k + 72. What is the remainder when v is divided by 24?
21
Let u(c) = 2*c**3 - 15*c**2 + 3*c - 8. Calculate the remainder when u(8) is divided by 11.
3
Let x(v) = -v**3 - 3*v**2 + 3*v - 4. Let m be x(-4). Suppose m = 10*z - 196 - 74. What is the remainder when z is divided by 18?
9
Suppose -i + 12 = -j + 3*j, -3*i + 3*j = -72. Suppose -570 = 18*y - 23*y. What is the remainder when y is divided by i?
14
Let i be ((-4)/3)/(84/(-27) + 3). Suppose 0 = -2*s + 2*p + p + 110, -i = 3*p. What is the remainder when s is divided by 18?
13
Suppose -3*r - 2355 = -3*q, 2*r - 1404 = -4*q + 1706. Calculate the remainder when q is divided by 23.
21
Let h(g) = -g + 2. Suppose 3*n = -2*i - 13, -n + 2*n - i + 1 = 0. What is the remainder when 6/(-21) - (-1024)/56 is divided by h(n)?
3
Let s = 70 - 23. Let k(f) = -1 + f**2 - f - 3 - 2. Calculate the remainder when s is divided by k(6).
23
Let f be (-12)/10*(-20)/6. Suppose 2*b = f - 0. What is the remainder when b is divided by (0 - 10/25)*-5?
0
Let j = 396 - 379. Calculate the remainder when 116 is divided by j.
14
What is the remainder when (-9 + 4)*(-759)/15 is divided by 64?
61
Suppose 0 = -3*c + 3*m + 6, 3*c + 2 = 4*m + m. What is the remainder when (-5103 - -5097) + (-33)/4*(-8)/2 is divided by c?
3
Let w = -1212 - -1276. What is the remainder when 127 is divided by w?
63
Suppose 92*f = 87*f + 265. Calculate the remainder when f is divided by 1.
0
Let u(j) = j**3 - j**2 + j + 15. Suppose 7*i = -9*i + 6*i. Calculate the remainder when 164 is divided by u(i).
14
Let v = -28 + 35. Suppose 3*h - v*h - 2*o = -224, 5*h = 5*o + 295. What is the remainder when h is divided by 16?
9
Let w be (-1)/2 + 2/(-16)*-908. Let o = 137 - w. Calculate the remainder when 87 is divided by o.
15
Suppose -17*i - 1316 = -24*i. Calculate the remainder when i is divided by 27.
26
Let a(x) = -10*x**2 - x + 25*x**2 - 16 - 14*x**2. What is the remainder when 258 is divided by a(-6)?
24
Suppose -2*a = -4*a + 2. Suppose -4*y - 5*z - 12 = 0, 2*y = -y - 4*z - 10. Calculate the remainder when 0 + a*(-5)/(-1) is divided by y.
1
Let t(p) be the second derivative of -3*p - 1/4*p**4 - 2*p**2 + 0 - 1/6*p**3 + 1/20*p**5. What is the remainder when 14 is divided by t(4)?
6
Suppose 2*n - 4*f - 116 = -2*f, 0 = 2*n - f - 114. Suppose 0 = 2*k + 2*k - 76. What is the remainder when n is divided by k?
18
Suppose 3*b - 11 + 2 = 0. Calculate the remai