*n - 72. Let b = n - 5. What is the remainder when b is divided by 8?
5
Suppose -4*h + 12 = -v, 4*h + 4 = v - 4*v. Calculate the remainder when 68 is divided by ((-1)/(-2))/(h/(-4))*-7.
5
Let g = 4 + -11. Let i = g - -11. Suppose -2*n - 4*k + 20 = 0, -n + 4*k - 40 = -5*n. What is the remainder when n is divided by i?
2
Let r(i) = -i**3 + 2*i**2 - 4*i - 6. Calculate the remainder when r(-2) is divided by 5.
3
Calculate the remainder when 6 + ((-31)/2)/((-7)/42) is divided by 20.
19
Suppose -2*u - 194 = -4*l, -4*l + 5*u = -27 - 170. Calculate the remainder when 87 is divided by l.
39
Let t(m) = -2*m - 28. Let v be t(-19). Let f = v - 2. Let p = 14 - f. What is the remainder when 16 is divided by p?
4
Suppose 4*u + u + 48 = g, 0 = -3*g - u + 96. Suppose -12 = -b - 2*n, 0*b - 5*n = 4*b - g. What is the remainder when 2 is divided by b?
0
Let h = 848 + -322. Suppose -2*m - 2*b - 2*b = -348, 2*b - h = -3*m. Let t = m - 93. Calculate the remainder when t is divided by 28.
27
Let j be (-2)/(-8) + (-5)/20. Suppose -7*k - 28 = -2*f - 2*k, -3*f + 2*k + 20 = j. Calculate the remainder when (1 - -2)*1 + 11 is divided by f.
2
Suppose -298 = -5*o - 2*q, 3*q - 124 = -4*o + 120. What is the remainder when o is divided by 13?
6
Suppose 2*d + 2*c = 90, 9*c = 2*d + 4*c - 55. Calculate the remainder when 199 is divided by d.
39
Let d be (-1743)/2 - (-4)/(-8). Let o(u) = 3*u**2 - 3*u + 3. Calculate the remainder when (-12)/42 - d/14 is divided by o(3).
20
Let r(b) = -17*b**3 - b**2 - b - 1. Let z be r(-1). Let c = z - 10. Let p(y) = y**3 - 5*y**2 - y + 1. Calculate the remainder when p(c) is divided by 17.
14
Let d(q) = q**3 - 10*q**2 - 37*q + 57. What is the remainder when 124 is divided by d(13)?
41
Let g be 1/(-2)*(-10 + 0). Suppose 5*h - g = -0*h. Calculate the remainder when 1 is divided by h.
0
Suppose -192 = -21*d + 17*d. Suppose x - n = 26, 13 - 116 = -4*x + 3*n. What is the remainder when d is divided by x?
23
Let h(z) = z**2 + 9*z - 74. Calculate the remainder when h(-18) is divided by 23.
19
Calculate the remainder when 151 is divided by (-16)/3*(-30)/20.
7
Let m = -152 + 556. Calculate the remainder when m is divided by 17.
13
Suppose -3*p - 310 = -4*n + 510, -4*p - 622 = -3*n. What is the remainder when n is divided by 9?
4
Let w(h) = 3*h**2 + 1. Let t be w(-1). Suppose -5*d = m - 17, 2*d + 5*m - 7 = 9. What is the remainder when (-1)/((-1)/t + 0) is divided by d?
1
Suppose -6*j + 20 = -4. Suppose -t + 5*r = -86, -3*r + 136 = j*t - 116. What is the remainder when t is divided by 17?
15
Let a(n) = 9*n**3 + 6*n - 7. Calculate the remainder when 921 is divided by a(2).
74
Let s(p) = 32*p - 2764. Let w(y) = 20*y**2 - y - 3. Let h be w(-3). Let b = h + -123. Calculate the remainder when b is divided by s(87).
17
Suppose 5*g + 4*t - 246 = 0, 0*t - 2*t + 54 = g. What is the remainder when 176 is divided by g?
38
Suppose -2*l - 8 = -3*f - 45, -5*l + 55 = 5*f. Let q(x) = x - 4. Calculate the remainder when 47 is divided by q(l).
7
Suppose 4*q - 537*l + 539*l = 240, -3*q + 5*l = -180. Let d = -34 - -52. Calculate the remainder when q is divided by d.
6
Suppose -7*c + c + 444 = 0. What is the remainder when 142 is divided by c?
68
Let g(n) = -n**2 - 16*n - 12. Calculate the remainder when g(-15) is divided by 3.
0
Let h = -882 - -987. Let q = 17 - -1. Calculate the remainder when h is divided by q.
15
Let a(p) = 212*p - 292. What is the remainder when a(4) is divided by 18?
16
Let i = 462 - 394. Suppose -2*w - 5*k - 73 = 0, -86 = -w + 5*w - 2*k. Let m = w - -48. What is the remainder when i is divided by m?
20
Let t(n) = n**3 + 20*n**2 + 7*n - 42. Let a(q) = -q**2 - 19*q + 4. Calculate the remainder when t(-19) is divided by a(-17).
34
Suppose 0 = -2*l + l - 13. Suppose 19 = -3*i - d + 5, 3*i + 5*d + 34 = 0. Let o = i - l. Calculate the remainder when 29 is divided by o.
9
Let x(v) = v**2 - 26*v + 481. What is the remainder when x(31) is divided by 91?
90
Let i(t) = 30*t - 4. Calculate the remainder when i(2) is divided by 15.
11
Suppose 3*j - 6*j = -9. Let o be 0/(0/4 - 1). Suppose 0 = 5*a - o*a - 45. Calculate the remainder when a is divided by j.
0
Let c(h) = -2*h + 3. Let k be c(0). Suppose 0 = 2*j - 3*t - 14, j - 2 = 2*t + k. Calculate the remainder when j is divided by 7.
6
Suppose 3*v = 3*z - 3, 2*z + 2 = 4*z. Suppose 4*j - 123 + 24 = -i, v = 3*j - 2*i - 88. Let h = 169 - 67. What is the remainder when h is divided by j?
24
Let s = 29 - -19. Suppose s - 6 = 3*m. Suppose -4*r = -44 - 56. What is the remainder when r is divided by m?
11
Let q be (140/21)/(1 - 11/9). Calculate the remainder when -3 - (q/(-8))/(6/(-32)) is divided by 4.
1
Suppose -300 + 88 = -4*n. What is the remainder when 55 is divided by n?
2
Let y be (-1*1)/((-9)/(-10 - -1)). Let j = 0 - -3. Calculate the remainder when 66 is divided by (j/(-3) - 16)/y.
15
Let s = 375 - -74. What is the remainder when s is divided by 113?
110
Let a = 22 - 17. Suppose -2*i = -5*r - 2, -4*r = 4*i - a + 1. Let g = i + 12. What is the remainder when g is divided by 4?
1
Let x(n) = -n**2 - 9*n + 10. Let h be x(-9). Suppose 0*l - l - p + h = 0, -4*p = l - 4. Calculate the remainder when l is divided by 9.
3
Suppose 4*x = 5*i, -i - 2 + 1 = -x. Suppose -4*f + d + 6 = -3, x*d - 9 = 2*f. Suppose 100 = -f*v + 7*v. What is the remainder when v is divided by 14?
11
Let b(s) = 62*s - 471. Calculate the remainder when 434 is divided by b(9).
86
Let a(w) be the first derivative of 2*w**3/3 - 13*w**2 + 16*w + 7. What is the remainder when 58 is divided by a(13)?
10
Suppose -3*w + 650 = 2*j, -2*j - 1245 = -5*w - 151. Suppose c + 0*c - 54 = -3*x, 2*x = -5*c + w. What is the remainder when c is divided by 15?
12
What is the remainder when (22/(-2))/((-60)/1380) is divided by 53?
41
Let o(w) = 2*w**2 + 6*w. Let m be o(-3). Suppose 3*v = -5*g + 53, 3 = -g - 4*v - m. What is the remainder when g is divided by 8?
5
Let a = -422 + 466. Calculate the remainder when 163 is divided by a.
31
Let y(v) be the first derivative of 2*v**3 + 3*v**2/2 - 3*v + 8. Calculate the remainder when y(2) is divided by 15.
12
Suppose -t - 1 + 3 = -i, -14 = -i - 3*t. Suppose -i*j + 3 = -7, -3*j + 255 = 5*y. Let z = -16 + y. What is the remainder when 62 is divided by z?
30
Let r = 715 + -640. What is the remainder when r is divided by 5?
0
Suppose -5*d = -368 + 13. Calculate the remainder when d is divided by 12.
11
Let s be -2 - 1 - -2 - (2 - 4). What is the remainder when -3 + (s - (-14 + 6/(-3))) is divided by 9?
5
Let s = -69 - -83. Suppose 4*l + 870 = s*l. What is the remainder when l is divided by 10?
7
Let s be (-2)/14 - (-8398)/133. Suppose 4*t + 0*t + 46 = -3*n, -5*t - s = 4*n. Let o = n + 28. Calculate the remainder when 27 is divided by o.
3
Suppose 0*v + 32 = 4*v. Suppose -1380 = -5*i - i. Suppose 7*l + 20 = i. Calculate the remainder when l is divided by v.
6
Let s(l) = -l**2 - 17*l - 22. Calculate the remainder when s(-14) is divided by 8.
4
Let v(q) = 35 - 23*q - 11*q**2 + 5*q**2 + 7*q**2. Calculate the remainder when v(24) is divided by 15.
14
Let p = 58 + -52. Suppose -4*o - 132 = -p*o. What is the remainder when o is divided by 23?
20
Suppose 0 = 6*a - 98 - 268. Suppose -2*f + j = -a, -3*j = -3*f - 0*f + 90. What is the remainder when 122 is divided by f?
29
Let x = 54 + 44. Let a = 75 - 41. Calculate the remainder when x is divided by a.
30
Let l(j) = j**2 + 10*j + 16. Let a be l(-8). Suppose -p - 39 = -4*k - a*p, 19 = 4*k - 5*p. What is the remainder when 53 is divided by k?
9
Let q = -709 + 760. Let r = -6 + 17. Calculate the remainder when q is divided by r.
7
Suppose -2*i + o + 76 = 0, -10*i + 12*i + 3*o = 92. Calculate the remainder when i is divided by 15.
10
Suppose -5*b + 4*f = -7*b + 172, -b + 96 = -3*f. What is the remainder when b is divided by 23?
21
Let y = 991 + -954. What is the remainder when 148 is divided by y?
0
Let t(f) = 2*f**3 - 72*f**2 + 3*f - 45. Calculate the remainder when 133 is divided by t(36).
7
Let r = 33 + 18. Let t be -4 + (6 - 4) + 6. Suppose t*w + 13 = 65. Calculate the remainder when r is divided by w.
12
Let v be (136/(-85))/((-2)/(-5)). What is the remainder when 27 is divided by v/(-18) + 1057/63?
10
Calculate the remainder when (-9486)/(-45) + -3*(-12)/(-45) is divided by 53.
51
Suppose 3*