 - 33. What is the remainder when 6 is divided by v?
2
Suppose 5*k - 580 = -x, 0 = 3*k + k + x - 464. What is the remainder when 117 is divided by k?
1
Suppose -3*u - 350 = -8*u. Let j = -81 + 171. Suppose 4*c = 2*y + j, c - y + 99 = 5*c. Calculate the remainder when u is divided by c.
22
Suppose 3*o - 6*o + 75 = 0. Suppose 271*k = 282*k - 814. What is the remainder when k is divided by o?
24
Let q(r) = 30*r**2 + 2*r + 2. Calculate the remainder when (-2 - 0)/2*-117 is divided by q(-1).
27
Let c(r) = r**2 + 4*r - 1. Let z = 166 + -76. Let b = z - 85. What is the remainder when c(-6) is divided by b?
1
Let j = -29 + 34. Suppose -i - 88 = -j*i. Calculate the remainder when i is divided by 5.
2
Let z be 435/4 + (-48)/64. Calculate the remainder when -4 + -1 + z + -4 is divided by 20.
19
Let z be (2 - 42/15)*-5. Suppose -3*t + z*t - 3*i - 10 = 0, -t - 2*i + 25 = 0. Calculate the remainder when t is divided by (-44)/(-66)*21/2.
5
Let a = -48 - -46. What is the remainder when 25 is divided by ((-4)/a - -16) + -4?
11
Let z be (11/2)/(3/6). Let x(i) = -21*i**2 + i**3 + 37*i**2 + 6 + 2*i - 27*i**2. Calculate the remainder when x(z) is divided by 15.
13
Suppose 26*z = 7296 - 2564. What is the remainder when z is divided by 48?
38
Suppose -5*l + 12 = -3*q, l + 5 - 13 = 2*q. Suppose -3*t + 5*z + 42 = l, t + z + 56 = 5*t. What is the remainder when 81 is divided by t?
11
Suppose 6 = -2*k + 4*m, 0*k + m + 16 = 4*k. Suppose 4*j = 5*r, -4*j + r + 3*r = -4. Calculate the remainder when j is divided by k.
0
Let t(f) = f**3 + 8*f**2 + 5*f + 3. Let c be t(-7). Let o = 23 - c. Suppose -o*a = -3*a - 33. Calculate the remainder when 20 is divided by a.
9
Let d be (4/(-12))/(3/81). Let b = 26 - 47. Let s = d - b. Calculate the remainder when s is divided by 7.
5
Suppose i - 390 = -9*i. Calculate the remainder when 144 is divided by i.
27
Suppose 11*o = 9*o + 66. What is the remainder when o is divided by 3 + -1 - 21/(-3)?
6
Suppose -19*q + 24*q = -z + 164, -4*z = -5*q - 681. Calculate the remainder when z is divided by 45.
34
Let j(w) = w**3 + 7*w + 8*w**2 + 2 - w**2 + 0*w**3. What is the remainder when j(-5) is divided by 7?
3
Suppose -2*t = t - 15. Suppose 5 - 41 = -3*g. Calculate the remainder when g is divided by t.
2
Let z(s) = 59*s + 363. What is the remainder when z(-3) is divided by 72?
42
Let s = -34 - -32. What is the remainder when (6/5)/(s - 42/(-20)) is divided by 8?
4
Suppose -9*z - 14 = -149. Suppose q = 2*q - 9. What is the remainder when z is divided by (q/(-12))/((-2)/24)?
6
Let c = -244 - -259. What is the remainder when 448 is divided by c?
13
Let f be (-162)/4*6/(-9). Suppose 0 = -5*z - b + 10, 4*z - 3*b = -0*z + f. Suppose v - 13 = z. Calculate the remainder when 63 is divided by v.
15
Suppose -890 - 1 = -11*j. What is the remainder when 323 is divided by j?
80
Let h(m) be the first derivative of -1/2*m**2 + 9*m - 1. Calculate the remainder when 69 is divided by h(-9).
15
Let i = 97 - 49. What is the remainder when i is divided by -51*((-16)/(-72))/(4/(-6))?
14
Let f(m) = 8*m - 144. What is the remainder when 214 is divided by f(27)?
70
Let q = -9 + 23. Suppose -3*n + 70 = -5*n. What is the remainder when (-158)/(-4) - (-4 + n/(-10)) is divided by q?
12
Let s = 45 - 25. Suppose -m = -6*m + s. Let x(q) = -q**2 + 7*q - 8. What is the remainder when 23 is divided by x(m)?
3
Let j(l) = -l**2 - 9*l + 43. Calculate the remainder when j(-11) is divided by 18.
3
Let o = -114 - -132. Calculate the remainder when 67 is divided by o.
13
Let x = 303 + -290. What is the remainder when 64 is divided by x?
12
Let y(u) be the third derivative of u**5/60 + 5*u**4/6 + 2*u**3 + 5*u**2. What is the remainder when 58 is divided by y(-20)?
10
Let v(k) = 21*k**3 - 3*k**2 + 2. Let d be v(2). Suppose 26 = -4*f + d. Let y = 35 - f. Calculate the remainder when 2 is divided by y.
0
Suppose 0 = 5*v + 548 - 823. Calculate the remainder when 108 is divided by v.
53
Let n = 348 - 323. What is the remainder when 100 is divided by n?
0
Let k(i) = -94*i + 680. Calculate the remainder when 483 is divided by k(7).
21
Calculate the remainder when 133 is divided by (81/2)/(-9)*-6.
25
Let c = -6 + 51. Let q = 61 + -22. What is the remainder when q is divided by 10/c + 176/18?
9
Let q(g) = -g**3 + 36*g**2 - 30*g + 40. What is the remainder when q(35) is divided by 54?
53
Let l = 523 - 320. What is the remainder when l is divided by 26?
21
Suppose 3*l - 326 = 2*h, 39 + 79 = l - 3*h. What is the remainder when 112 is divided by l?
6
Let k = -8 - -9. Let d(o) = 46*o**3 + o**2. Let v be d(k). Suppose 11 = -2*h + v. What is the remainder when h is divided by 10?
8
Suppose 1047 = 4*b + 5*o, 2*b = 4*o - 5*o + 531. Suppose -1 - 15 = -4*l, -4*n - 4*l + b = 0. Let d = 14 + 2. What is the remainder when n is divided by d?
15
Suppose -4*b + 160 = 4*j, -3*j + 150 = b + 30. Suppose 0 = v - 3*p - 3 - 24, -j = -5*v - 4*p. Calculate the remainder when -69*(4/(-6) + 0) is divided by v.
10
Let m = 53 + -41. Calculate the remainder when 23 is divided by m.
11
Suppose -63 = -3*c + 33. Let y = -27 + c. Let g = -12 + 30. Calculate the remainder when g is divided by y.
3
Let h be ((-84)/8)/((-3)/4). Let r(t) = -t - 5. Let q be r(4). Let o = q + h. What is the remainder when 17 is divided by o?
2
Suppose -27*f = -22*f + 5*h - 420, 153 = 2*f - 3*h. Calculate the remainder when f is divided by 22.
15
Suppose 35*q + 8*q - 2752 = 0. What is the remainder when q is divided by 26?
12
Let v(h) = 3*h**2 - 1. Let b be v(1). Suppose -2 = b*q - 34. Let u = q - 12. What is the remainder when 15 is divided by u?
3
Let r(o) = 23*o - 260. What is the remainder when 102 is divided by r(12)?
6
Let i = 146 - 126. Calculate the remainder when 96 is divided by i.
16
Suppose -32*a + 1003 = 107. Calculate the remainder when a is divided by 21.
7
Let n = -25 + 30. Suppose 49 = n*q - 271. Suppose 356 = 5*h - q. Calculate the remainder when h is divided by 29.
26
Let p be (-26)/(-7) + (-45)/(-35) + -1. Suppose 5*z - 38 = -5*a + 3*a, 4*a + p*z - 76 = 0. What is the remainder when a is divided by 7?
5
Let a = -96 + 101. Suppose -3*q = a*u - 48, 3*u + 4*q - 16 = -q. Calculate the remainder when 59 is divided by u.
11
Suppose -3*l + 24 = 3*t, 5*l + t = 45 - 5. Let g(m) = 0*m - 5*m + 2*m**2 - 26 + 6*m. Calculate the remainder when g(5) is divided by l.
5
Let r = 29 + -27. Suppose u = 3 + r. Let f(s) = s**3 - 4*s**2 - 3*s - 1. What is the remainder when f(5) is divided by u?
4
Let t(b) = 19*b - 51. Let u(j) = -j**2 - 7*j - 3. Let d be u(-5). Calculate the remainder when t(d) is divided by 32.
18
Let o(b) = b + 1. Let h be o(14). Suppose 0 = 13*n - h*n + 84. Calculate the remainder when n is divided by 23.
19
Suppose -2*d + 3*g = -11 + 3, -d + 11 = 2*g. Let f be (-2)/9 + (-43)/9. Let h = f - -8. Calculate the remainder when d is divided by h.
1
Let j = -29 - -50. Suppose 0*w - 9 = -w - 5*i, i = w - j. Suppose 108 = 5*x - 2*x. What is the remainder when x is divided by w?
17
Suppose 10 = -4*z + 18. Suppose 3*y = 2*o - 13, -z*o + 4*o - 5*y - 15 = 0. What is the remainder when 6 is divided by o?
1
Let u(f) = -f**3 + 18*f**2 + 2*f + 15. Calculate the remainder when 458 is divided by u(18).
50
Let h be 4/(-22) + (-9)/11. Suppose 4*c - 205 = -z + 4*z, 4*c - 211 = 5*z. Calculate the remainder when c is divided by h/(3/(-6)) - -15.
15
Let t(k) = 2*k**2 - 14*k - 2. Let i(x) = x + 22. Let f be i(-16). Suppose f*p + m - 37 = 2*p, 3*p - 5*m = 45. What is the remainder when t(p) is divided by 15?
13
Let i(j) = 50*j + 68. Calculate the remainder when i(3) is divided by 13.
10
Let x(n) = -143*n**3 + n**2 - n - 1. Let r be x(1). Let q = 206 + r. What is the remainder when q is divided by 9?
8
Let p = 126 - 84. Calculate the remainder when p is divided by 13.
3
Let x(o) = -o**2 - 35*o - 75. What is the remainder when x(-19) is divided by 13?
8
Let w = 16 + -7. Let p(z) = -2*z - 5. Let b be p(-5). Let h(c) = c**3 - 4*c**2 - 4*c - 1. Calculate the remainder when w is divided by h(b).
1
Let k(j) = -44*j**2 + 1192*j - 72. Let l = 13 - 3. What is the remainder when k(27) is divided by l?
6
Let t be (27/15*1)/((-9)/(-30)). Suppose 742 - 294 = -4*l. Calculate the remainder when 110 is divided by (-6)/4*l/t.
26
Suppose -6*n = -k - 2*n + 7, 0 = 5*k - 4*n - 83. 