-3*k, 31 = 5*i + 4*k - 47. Suppose i = p - 2. What is the remainder when 47 is divided by p?
15
Let l(m) = -19*m**3 + m**2 - 7*m - 7. Calculate the remainder when l(-2) is divided by 84.
79
Let l(u) be the second derivative of -19/2*u**2 + 11*u + 0 + 1/20*u**5 + 7/3*u**3 + 19/12*u**4. What is the remainder when l(-18) is divided by 14?
11
Suppose 3*b = -5*q - 10 + 29, -5*q + 16 = 2*b. Calculate the remainder when 15 is divided by b.
0
Let t = -11 - -13. Suppose t*o + 4 = 10. Calculate the remainder when 3/12 + (-19)/(-4) is divided by o.
2
Let u(x) = -2*x**3 + 2*x - 1. Let h be (234/(-5))/9 - 1/(-5). Let q(c) = 2*c**2 + 8*c + 2. What is the remainder when u(-3) is divided by q(h)?
11
Suppose z = 6*z - 735. Suppose -5 = -4*c + z. Let q = -31 - -44. Calculate the remainder when c is divided by q.
12
Suppose 2*o + 112 = 6*o. Let i = o + -17. Let w = i + 16. Calculate the remainder when 78 is divided by w.
24
Let k be -3 - -6 - (-76)/(-4). Calculate the remainder when 4/k - 507/(-12) is divided by 22.
20
Let j = 17 - 16. Let q = 38 - 24. What is the remainder when (-3 - -2)*(-56 + j) is divided by q?
13
Suppose 2*a = 4*l + 72, 67 = -3*l - 7*a + 2*a. Calculate the remainder when 1*58 - (16 + l) is divided by 16.
13
Let n = 214 - 175. Calculate the remainder when n is divided by 25.
14
Suppose -34*r - 102*r = -816. Calculate the remainder when 1216 is divided by r.
4
Suppose 0*k = -4*k + 20. Suppose 5*r + 23 = d, k*d - 19 = -r + 2*r. Let m(g) = g - 2. Calculate the remainder when 3 is divided by m(d).
0
Let k = -2414 - -2420. Let z(n) = n**2 - 3*n - 3. What is the remainder when z(6) is divided by k?
3
Let a(k) = -k + 1. Let t be a(-3). Let d be 6/t*40/12. Suppose 5*s + 65 = d*x - 4*x, -5*x = -5*s - 365. What is the remainder when x is divided by 26?
23
Let a be 23 + (-10 - -4 - -1). Calculate the remainder when 3*(-207)/a*(-4)/3 is divided by 19.
8
Suppose 5 = -4*y + 17, -2*f - 4*y + 118 = 0. What is the remainder when f is divided by 19?
15
Let i(h) = -h**3 - 20*h**2 - 35*h + 20. Calculate the remainder when 248 is divided by i(-18).
0
Let u(f) = -3*f + 99. What is the remainder when 104 is divided by u(15)?
50
Suppose 3*a - 12 = 2*a - r, 2*r = 4*a - 60. Calculate the remainder when (9/6)/(0 - (-15)/410) is divided by a.
13
Suppose 21*d = 23*d - 38. Suppose 5*o = 11 + d. What is the remainder when 35 is divided by o?
5
Let v = -1153 + 1259. Calculate the remainder when 741 is divided by v.
105
Let a be ((-6)/(-12))/(2/4). Let q(h) = h**3 + 9*h**2 + 13*h - 6. What is the remainder when q(-6) is divided by 10 + 1/(a/3)?
11
Let w = -30 - -51. Calculate the remainder when w is divided by 9.
3
What is the remainder when 111 is divided by 11/((-33)/9) - -42?
33
Suppose -6*x - 117 = -3*x. Let p = -21 - x. What is the remainder when (100 - -2)/2*1 is divided by p?
15
Suppose 367 = 4*r + 11. Let c(i) = -2*i**3 - 8*i**2 - 3*i + 1. Let o be c(-6). Let n = o - r. Calculate the remainder when n is divided by 19.
17
Suppose -130 = -2*m + 4*v, 2*m - 17 = -3*v + 99. Calculate the remainder when 1156 is divided by m.
58
What is the remainder when (296/(-111))/(2/(-72)) is divided by 90?
6
Let g be (-7)/28 + 35/(-4). Let t = -7 - g. Suppose w = 2*o + 37, 2*w + t*o + 124 = 6*w. What is the remainder when w is divided by 10?
9
Let b = 10 + -7. Suppose -2*g + 19 = b*g - 4*s, 0 = -g - 2*s + 15. Suppose p = g + 2. Calculate the remainder when 25 is divided by p.
7
Suppose 0*z = -2*z + 4*z. Suppose -r = r - t - 357, -r - 3*t + 182 = z. Calculate the remainder when r is divided by 36.
35
Suppose -49 = -3*w + 5*q + 35, -28 = -w - 2*q. What is the remainder when w is divided by 19?
9
Let q(l) = 4*l + 80. Let c be q(-19). Suppose -c*n = -n - 129. What is the remainder when n is divided by 11?
10
Let x(b) = 98*b + 88*b - 27 - 207*b - b**2. What is the remainder when 77 is divided by x(-18)?
23
Suppose o + 9 = 2*a, -3*o + 4 = -5. Let f be (-6)/8 + (-120)/(-32). Suppose f*s + 7 = w + 29, 5*s - 32 = -3*w. What is the remainder when s is divided by a?
1
Let n(m) = m**3 - 3*m**2 + 13*m + 3. Let i(h) = -h**2 - h. Let j(w) = -5*i(w) - n(w). Calculate the remainder when j(6) is divided by 32/3 - (-8)/18*3.
9
Suppose 0 = -48*q + 118508 - 12476. Calculate the remainder when q is divided by 65.
64
Suppose 2*g + 116 = -2*g. Suppose -3*x = -i + 123, -4*i = -x + 2*x + 41. Let s = g - x. What is the remainder when 34 is divided by s?
10
Let f = 24 + -11. Let j = 2376 - 2373. Calculate the remainder when f is divided by j.
1
Let t(g) = 45*g - 3. Let y = -6 - 8. Let n = y - -36. Calculate the remainder when t(2) is divided by n.
21
Suppose -3*o = -2*o - 24. Suppose -5*p = -o - 26. Calculate the remainder when 37 is divided by p.
7
Let y be ((-12)/(-4) + -3)*-1. Suppose y*g - 17 = -g. Calculate the remainder when g is divided by 9.
8
Suppose 19*o - 24 = 23*o. Let t = 28 - o. What is the remainder when 168 is divided by t?
32
Calculate the remainder when 2797 is divided by ((-90)/(-81))/(3/27).
7
Let h = 45 - 39. Suppose -8 = -d + h. What is the remainder when 41 is divided by d?
13
Let z = 187 + -10. What is the remainder when z is divided by 58?
3
What is the remainder when (159/(-2))/(129/(-12) + 10) is divided by 18?
16
Let f = 110 - 100. Suppose -4*p + f*p = 72. What is the remainder when 22 is divided by p?
10
Suppose 5*p - 2*o = 1830, -p - 11*o + 8*o = -366. What is the remainder when p is divided by 16?
14
Suppose -4*l - 3*c + 47 = 0, 2*c + 110 = 5*l + 34. Calculate the remainder when 28 is divided by l.
0
What is the remainder when 42 is divided by ((-2)/(2*1))/(48/(-1104))?
19
Let d(z) = -3*z**2 - 115*z + 209. Suppose 0*o - 3*m = -o + 3, 0 = -4*o + m + 56. Calculate the remainder when o is divided by d(-40).
6
Let o(m) = -m + 24. Let x = 61 + -67. What is the remainder when o(x) is divided by 17?
13
Let o(d) = 23*d**3 - 3*d**2 + 6*d - 3. Suppose -2*y + 64 = -118. Calculate the remainder when y is divided by o(1).
22
Suppose 24*c - 21*c = 0. Suppose c = -4*n + 145 + 39. What is the remainder when n is divided by 12?
10
Suppose 5*y + 78 = 118. Calculate the remainder when (14/y)/(135/132 + -1) is divided by 26.
25
Suppose 2*c = -4 + 12. Suppose 4*t + c = -5*d, 3*t - 16 - 4 = 2*d. What is the remainder when 78 is divided by (-723)/(-27) + t/18?
24
Suppose -38*r + 1914 = -9*r. Calculate the remainder when r is divided by 7.
3
Let s(c) = -1. Let q(d) = 6*d + 16. Let n(b) = q(b) + 6*s(b). What is the remainder when n(11) is divided by 13?
11
Let p(c) = 59*c + 6. Let q be p(7). Suppose 4*r = -w - 4*w + q, -w - 5*r + 88 = 0. Suppose -31 + w = 2*t. Calculate the remainder when 49 is divided by t.
23
Suppose 53*d - 6480 = -19*d. What is the remainder when d is divided by 42?
6
Let y(v) = 2*v**2 + 7*v + 6. Let o be y(-4). Suppose 3*w = 3*g - 0*w - 30, 5*w + o = g. Calculate the remainder when 1/(1/38 + 0) is divided by g.
8
Suppose 0 = -2*d - 3*d - 470. Let i = 160 + d. Calculate the remainder when 45 is divided by (-40)/3*i/(-55).
13
Calculate the remainder when 126 is divided by 34 + 2/(-4)*0/(-2).
24
Let z(b) = b**2 + 7*b + 11. Suppose 14*i - 15*i - 9 = 0. Let t = -5 + 16. Calculate the remainder when z(i) is divided by t.
7
Suppose -12*b - 4*y + 103 = -9*b, 5*y = 4*b - 96. Calculate the remainder when (46/3)/(4/30) is divided by b.
28
Suppose 5*j - 4*y = -7*y + 3, 5*y = -5*j + 5. Suppose 0 = 5*q + s - 19 - 133, j = 5*q + 2*s - 149. Calculate the remainder when q is divided by 17.
14
Let v(f) = f**3 + 5*f**2 - 3*f + 1. Let a be v(-4). Suppose 9*l = -a + 83. Calculate the remainder when l is divided by 2.
0
What is the remainder when -8 - -4 - (-40 + -1) is divided by 13?
11
Suppose 0 = -3*u - p + 4, 15 - 3 = u + 3*p. Suppose -5*v + 2*q = -3*q - 5, 2*q - 8 = u. What is the remainder when v is divided by 2?
1
Suppose -2*f + 3*x = 3*f + 4, -f + 7 = 2*x. Suppose 4*l - f = 2*a - 7*a, 3*l - 3*a = 21. Calculate the remainder when -1*23*(-1 - 0) is divided by l.
3
Let f be 13 + (-2 - 3) + 1. Let i = -6 + f. Suppose 47 = 4*w + k, -42 = 3*w - 6*w - i*k. Calculate the remainder when 29 is divided by w.
7
Suppose -2*b + 85 = 13. What is the remainder when 321 is divided by b?
33
Let p(b) = 6*b**2 - 40*b + 76. What is the remainder when p(20) is divided by 56?
52
Let w be 0*((-10)/(-15) - 1). Suppose