lculate the remainder when t is divided by b.
8
Suppose 0 = p + 5*m + 17, 0*m - 6 = 2*p + 3*m. Suppose 5*k = p*k. Suppose k = -4*s - s + 95. Calculate the remainder when 55 is divided by s.
17
Suppose -3*d - 79 = -i - 4*d, i - 4*d - 69 = 0. What is the remainder when i is divided by ((-39)/(-9) + -6)/((-1)/12)?
17
Let k(d) = -d**3 + 6*d**2 + 2*d. Let b = 8 - 2. Let m be k(b). Suppose 4*p + m = 0, p = -5*i + 3*p + 81. What is the remainder when 57 is divided by i?
12
What is the remainder when 101 is divided by 6/14 - 3995/(-119)?
33
Suppose 14*r = -2*r + 528. What is the remainder when r is divided by 10?
3
Let g = -93 - -63. What is the remainder when 100 is divided by (-202)/(-4) - g/20?
48
Let l(m) = m**3 - 6*m**2 + 10*m - 9. Suppose 0 = -4*u + 13 + 11. Suppose -u*a + 12 = -4*a. What is the remainder when l(a) is divided by 18?
15
Suppose 1616 = -0*k + 3*k - p, -4*p = -3*k + 1631. What is the remainder when k is divided by 77?
75
Suppose a - 1 - 2 = -3*f, 0 = -4*a - 12. Suppose f*j + 120 - 50 = 5*b, -b + 4 = 0. Let l = -6 - j. What is the remainder when l is divided by 11?
8
Let s = 22 + -24. Let d(z) = z**3 + z**2 - 3*z - 1. Suppose 5*w - 5 = -0*w. What is the remainder when w is divided by d(s)?
0
Let j = 450 + -431. What is the remainder when 417 is divided by j?
18
Let s(g) = -4*g - 20. Calculate the remainder when s(-11) is divided by 11.
2
Let b(v) = 3*v**2 - 203*v + 411. Suppose y = -0*y + 350. Suppose -t + 341 = 4*t + 2*j, 5*j - y = -5*t. What is the remainder when t is divided by b(2)?
16
Let n(p) = 2 - 16*p + 3*p**2 - 15*p + 28*p + 0. Calculate the remainder when 226 is divided by n(-3).
36
Let v = -7 + 6. Let y be v + 3 - (1 + -2). Suppose -h + y*u - 15 = -2*u, 0 = h + 4*u - 30. What is the remainder when 28 is divided by h?
8
Suppose 8*v - 728 = -6*v. Calculate the remainder when v is divided by 19.
14
Suppose 3*u + 0*u - 119 = -5*v, -5*v - 5*u + 115 = 0. What is the remainder when v is divided by (35/2)/(((-1625)/(-100))/13)?
11
Suppose -6*w + 2*w + 352 = 0. Suppose z - w = -z. Suppose 2*p - z = -0*p. Calculate the remainder when p is divided by 6.
4
Let g = -2747 - -2784. What is the remainder when 279 is divided by g?
20
Let x(l) = -l**3 + l + 1. Let d(s) = 5*s**3 - s**2 - 8*s - 5. Let q(u) = d(u) + 4*x(u). Calculate the remainder when q(5) is divided by 2 - (45/(-3) + -3).
19
Let b = -5574 + 5588. Let o = 95 + -40. Calculate the remainder when o is divided by b.
13
Let n(j) = -114*j + 11. Let p be n(0). Suppose 0 = -2*q + 8 + 30. Suppose 2*o - q - p = 0. What is the remainder when 27 is divided by o?
12
Let d = -228 + 246. Calculate the remainder when 64 is divided by d.
10
Suppose 0 = -2*l + 9 - 1. Suppose -l*z + 325 - 113 = 0. Calculate the remainder when z is divided by 11.
9
Let j = 56 + -272. Let f = -150 - j. Let a = -112 - -129. Calculate the remainder when f is divided by a.
15
Suppose -12 = -5*k + 8. Let y = -15 + 18. Suppose -y*v - v + 8 = -h, -v = -3*h - 2. Calculate the remainder when k is divided by v.
0
Let p be (-62)/((-8)/(-4 + 8)). Let a = p + -26. Calculate the remainder when a is divided by 3.
2
Let s be (-9)/((-9)/2) + 2. Suppose 0 = -s*b + 34 + 118. What is the remainder when b is divided by 13?
12
Let t(h) = h**3 - 7*h**2 + 8*h - 10. Let l be t(6). What is the remainder when (3 + -5)/(3 - l) - -9 is divided by 4?
3
Let u be (400/30)/(2/12) + -2. Suppose -u = -14*i + 8*i. What is the remainder when 20 is divided by i?
7
Suppose 0 = -4*l - 4*s + 44, l + 3*s = -0*s + 3. Calculate the remainder when 102 - -8 - (-2 + 8) is divided by l.
14
Let s = 0 - -7. Let y = 88 + -91. Calculate the remainder when s is divided by 3/y - 24/(-8).
1
Let v(s) = -s**3 - 17*s**2 - 33*s - 41. Calculate the remainder when v(-15) is divided by ((-6)/(-9))/((-1)/(-3)).
0
Let s = 58 + -5. Calculate the remainder when s is divided by 13.
1
Let k(p) = 8*p**2 + 4*p + 8. What is the remainder when k(4) is divided by 14?
12
Let v = 164 + -96. Let k = -2232 + 2267. What is the remainder when v is divided by k?
33
What is the remainder when (-5)/2*-2 + (-1472)/(-23) is divided by (6/4)/(3/20)?
9
Suppose -4*o + 84 = 4*x, -3*x + 8*x = -o + 41. Let h = o + -4. Suppose 0 = 4*f + h, -a + 4*f + 19 = 4. What is the remainder when 3 is divided by a?
0
Let r(z) = -z + 4. Let x be r(-6). Let g(y) = y**3 - 9*y**2 - 6*y - 14. Let i be g(x). Calculate the remainder when 77 is divided by (9 - 6)/(3/i).
25
Let r(z) = -5*z**3 + 4*z**2 + 5*z - 2. Let j be r(3). Let x = j - -123. What is the remainder when x is divided by 14?
9
Suppose 24*y - 27*y + 12 = 0. Calculate the remainder when 55 is divided by y.
3
Let g = 12 + -8. What is the remainder when 2/g + (-486)/(-12) is divided by 4/18 - (980/(-45))/1?
19
Suppose -770 = -25*k + 830. Calculate the remainder when 126 is divided by k.
62
Let w = 24 - 16. Suppose -6*y + y = 3*j + 20, -2*y + 5*j = w. Calculate the remainder when ((-1)/(-2) + -3)*y is divided by 6.
4
Calculate the remainder when (54912/16)/12 - (3 + 1) is divided by 32.
26
Suppose 2*w = -4*d + 14, 0*d - 2*d = -3*w - 19. Let v be (-2)/(-3)*(-3 + 6). Suppose -24 = -v*b - 0*b. Calculate the remainder when b is divided by d.
2
Let k(h) = -7*h - 1 - 18 + 7 + 16*h. Suppose -4*f + 103 = 5*q, 0*f - q - 19 = -f. What is the remainder when f is divided by k(2)?
4
Let h(f) be the first derivative of f**4/4 + 7*f**3/3 + 2*f**2 - 9*f + 10. Let t be h(-6). What is the remainder when 89 is divided by 1/t*(81 + -12)?
20
Let h = 463 - 48. What is the remainder when (9*h/15)/1 is divided by 28?
25
Let p(b) = b**3 + 37*b**2 + 21*b + 72. What is the remainder when p(-36) is divided by 14?
10
What is the remainder when (26/4)/(29/638) is divided by 78?
65
Let i be (-72)/(-27)*(-3)/(-2). Suppose -5*q + 74 = 4*h, 0*h + 34 = 2*h + i*q. Calculate the remainder when 102 is divided by h.
18
Let w = 95 - 56. Let r = 19 + -9. Calculate the remainder when w is divided by r.
9
Let x = -537 + 545. Calculate the remainder when 71 is divided by x.
7
Suppose 2*i = -0*i - 2. Let r be 30 + i + (-4)/2. What is the remainder when (-2841)/(-27) - 6/r is divided by 27?
24
Let n = -20 - -59. Suppose -6*k = 36 - 156. What is the remainder when n is divided by k?
19
Suppose -70 = 5*b + 5. Let a be (-12)/b*970/4. Suppose -4*w + 6*p - p + 317 = 0, 3*w + 5*p - a = 0. Calculate the remainder when w is divided by 37.
36
Let l = 209 - 102. Calculate the remainder when 319 is divided by l.
105
Let l = 60 - 29. Let k = -24 + l. Suppose 3*t = 45 - 12. What is the remainder when t is divided by k?
4
Let p = -225 - -289. Calculate the remainder when p is divided by 26.
12
Let j = 364 - 344. What is the remainder when 253 is divided by j?
13
Let f = -4 + 13. Let m(q) = 3*q**3 - 2*q**3 - 8*q**2 + 0*q**3 - 3*q - 10. What is the remainder when m(f) is divided by 9?
8
Let p(f) = 3*f - 20. Let h be p(8). Let r(n) = n**2 + 3*n + 4. What is the remainder when r(h) is divided by 17?
15
Let p = 4 - 1. Calculate the remainder when 0 - (-394)/10 - 156/390 is divided by ((-2)/5)/(p/(-105)).
11
Let g be (-4)/(-10) - 96/(-10). Calculate the remainder when 3 is divided by (-1)/(-1)*10/g.
0
What is the remainder when 327 is divided by 1*(115 - -6)/11?
8
Suppose 3*z = -4*g + 14, 0*g + 2*g = -8. Suppose 6*b - 32 - z = 0. What is the remainder when b is divided by 5 - ((-6)/(-2) - 1)?
1
Let o be 8/(-7)*7/(-2). Suppose -b = 3*z - 7, -9*z + o*z - 36 = -2*b. What is the remainder when 1/2 - (-45)/2 is divided by b?
10
Let p(g) = -g**2 + 39*g + 63. Calculate the remainder when p(17) is divided by 55.
52
Suppose -40*h = -42*h + 412. What is the remainder when h is divided by 52?
50
Suppose -7*p + 327 = -4*p + 3*m, -3*m - 505 = -5*p. What is the remainder when p is divided by 24?
8
Let v(f) = f**3 - 13*f**2 + 47*f + 2. Calculate the remainder when 369 is divided by v(7).
36
Let y(q) = 35*q + 72. What is the remainder when y(-1) is divided by 20?
17
Let l = 55 - -51. Let t = 246 - 219. Calculate the remainder when l is divided by t.
25
Let l(i) = i**3 + 5*i**2 + 12*i + 75. What is the remainder when 1180 is divided by l(-5)?
10
Suppose 2*w - 218 = -2*w + 2*y, 0 = 2*y + 10. Calculate the remainder when 119 is divided by w.
15
Suppose -3*z - 93 - 54 = 0. Let a = z + 118. Suppose 0 = -5*w - 1 + 91. Calculate the remainder