01 - 19 = -8*k. Calculate the remainder when 303/k + 3/(-15) is divided by 9.
2
What is the remainder when (-20 - -21)/((5 + -4)/183) is divided by 72?
39
Suppose -8*s = -9*s + 2. Calculate the remainder when 1522/s - (0 + 2 - -1) is divided by 76.
74
Let j(b) = -7*b**3 - 4*b**2. Let w be j(3). Let h = w + 232. What is the remainder when 18 is divided by h?
4
Let h = 31 + -26. Suppose -4*t = -q - 2*q, h*q = -5*t + 35. Suppose q*o = -5*c + 159, -4*c + 108 = 3*o - 20. Calculate the remainder when c is divided by 12.
11
Let p(q) = -39*q + 12. Let h be p(-20). Suppose -21*j = -216 - h. Calculate the remainder when j is divided by 16.
0
Calculate the remainder when 35/(-7)*-1*428/20 is divided by (-3 - -11)*(-27)/(-12).
17
Let j = -5 + 29. Let l = j + 57. Let b = l - 34. What is the remainder when b is divided by 8?
7
Suppose s + 3*d - 28 = 0, -2*s + 5*d = -0*d - 111. Let t be (-15)/((-180)/(-776)) - 4/(-6). Let a = t + 78. What is the remainder when s is divided by a?
1
Suppose 13*a - 3262 - 716 = 0. Suppose 7*j = -2*j + a. What is the remainder when 100 is divided by j?
32
Let j(g) = -g**3 + 50*g**2 - 138*g - 53. Calculate the remainder when 403 is divided by j(47).
51
Suppose -226*h = -149*h - 19250. Calculate the remainder when h is divided by 97.
56
Suppose -2*t + 2385 = 1599. What is the remainder when 791 is divided by t?
5
Suppose -t + 2*z + 116 = 0, -8*t - 5*z + 277 = -6*t. What is the remainder when 262 is divided by t?
10
Let j(n) = -129*n**2 - 2*n + 23. Calculate the remainder when 2893 is divided by j(0).
18
Suppose 0 = -b + 2, 10 = -2*a - 3*a + 5*b. Suppose a = 5*o + 3*r - r + 347, 16 = 4*r. Let k = -35 - o. Calculate the remainder when 141 is divided by k.
33
Let h(y) be the third derivative of -y**5/60 - 5*y**4/24 - 5*y**2. Let a = -54 - -61. Calculate the remainder when a is divided by h(-3).
1
Suppose -5*l = 2*q - 135, 118*q - 114*q - 215 = l. What is the remainder when 453 is divided by q?
13
Suppose 387 = 108*l - 693. Calculate the remainder when l is divided by 7.
3
Suppose 2*q + 655 = -3*q. Let b = 0 - q. Let j = -182139 - -182173. Calculate the remainder when b is divided by j.
29
Let w be 3 + -9 + 3 + 294. Suppose 5*p - 6 + w = 5*o, -3*o + 59 = -p. Calculate the remainder when (6*4)/((-21)/p) is divided by 17.
13
Let j(l) = -15*l - 431. Calculate the remainder when 1000 is divided by j(-30).
12
Suppose -4*z + 4*c = -80, 42*c - 47*c = -20. Let r = 156 - 16. What is the remainder when r is divided by z?
20
Let y(z) = -23 + 49*z - 25*z + 3. Calculate the remainder when 53 is divided by y(2).
25
Calculate the remainder when (-1)/(-2)*(5 - -3) + -4 - -29 is divided by 17.
12
Let o(t) = t + 25. Let y be o(-5). Suppose 4*g + y = 0, 5 = r + r - g. Suppose -10*p + 482 + 18 = r. What is the remainder when p is divided by 20?
10
Let u = 11802 - 10480. Calculate the remainder when u is divided by 21.
20
Let i = 115 - 113. Let v = i + 34. What is the remainder when v is divided by 8?
4
Let u(j) = 9*j - 48. Let y(n) = 4*n - 25. Let d(x) = 3*u(x) - 7*y(x). What is the remainder when 152 is divided by d(0)?
28
Suppose 5*q - 4 = -r, 4*r = q - 0 - 26. Let a(k) = k**2 + 5*k + 13. Let m(o) = -o**3 + 3*o + 1. What is the remainder when m(-4) is divided by a(r)?
15
Let i(a) = a**2 + 3*a - 4. Let p be i(1). Let j = 279 + -114. Suppose -38*u + 35*u + j = p. What is the remainder when 163 is divided by u?
53
Suppose 0 = 21932*j - 21923*j - 126. Suppose -138 = o - 5*o - 5*x, 0 = -2*o + 3*x + 80. What is the remainder when o is divided by j?
9
Let d(i) = 43*i**2 + 111*i + 112. Calculate the remainder when 269 is divided by d(-1).
5
Suppose -8*f - 7*f = -1275. Calculate the remainder when f + 6 + -2 + 8 is divided by 27.
16
Let l(n) = -2*n + 4. Let z be ((-1)/2 + 0)*6. What is the remainder when 1*148/(-12)*-3 is divided by l(z)?
7
What is the remainder when 1099 is divided by 219 + -11 + (1 - 20)?
154
Suppose 28 = -4*a, 3*n - 5*n - 4*a = -7188. Calculate the remainder when n is divided by 19.
17
Let s(f) = f**2 - 3*f + 16. Suppose -9*w + 75 = -24. Let l be s(w). Suppose -5*b - 3*n = -l, 3*b - 4*n - 72 = -n. What is the remainder when b is divided by 5?
2
Suppose -b = 4*b + 3*p - 1854, 5*p = 15. Let u(h) = -h**3 - 9*h**2 - 18*h + 31. Calculate the remainder when b is divided by u(-6).
28
Let b(v) = v**2 + 120*v + 3531. Calculate the remainder when b(-81) is divided by 41.
3
Let q(c) = c**2 - 14*c - 15. Let x = 79 - 64. Let j be q(x). Suppose j = -b - 0*b + 5. What is the remainder when 32 is divided by b?
2
Let j = 21 + -17. Suppose 870 = j*q - 210. Suppose n - q = -5*n. What is the remainder when n is divided by 17?
11
Suppose -2*g - 108 = -0*g. Let b = -14 - g. What is the remainder when 479 is divided by b?
39
Let r = 41 + -71. Let u be ((-3)/(-6) - 21/r)*25. Calculate the remainder when 249/12 + u/24 is divided by 12.
10
Suppose -3*b + 4*c + 1352 = 0, 5*b - 110 = -c + 2082. What is the remainder when b is divided by 93?
68
Calculate the remainder when 419 is divided by (-2)/2*-75 - (-8 - 1).
83
Suppose 0 = -4*l + 5*l + 36. Let d(x) = 2*x**3 + 60*x**2 + 61*x + 86. Let h be d(-29). Calculate the remainder when 105 + l + 5*h is divided by 29.
6
Let i be (-7404)/39 - 20/130. Let l = i - -197. Calculate the remainder when 68 is divided by l.
5
Let t = -6044 - -6077. What is the remainder when 2342 is divided by t?
32
Suppose -i = 2*i - 102. Let t(y) = -y**3 + 20*y**2 + 4*y - 14. Let z be 10/8*12*12/9. What is the remainder when t(z) is divided by i?
32
Suppose -2*t - 3*u + 5 = 0, t = -u - 2 + 5. Suppose v + 3*v = -h + 212, -t*h = -16. Let n = 161 - 147. What is the remainder when v is divided by n?
10
Suppose a = -0 - 9. Let r = -1 - a. What is the remainder when 19 is divided by r?
3
Suppose -3*h = -l - 529, 63*h - 64*h + 5*l + 167 = 0. What is the remainder when h is divided by 64?
49
Let m(f) = f**3 - 34*f**2 - 44*f - 30. Let l be m(35). Suppose 0*h - 603 = 3*h. Let j = h - l. Calculate the remainder when j is divided by 29.
28
Let g(h) = 7*h + 2 - 3*h**3 - 15*h**2 + h**3 + 0 + 0*h**3. Let j be g(-8). What is the remainder when 14 is divided by (-2)/j - (-88)/40?
0
Suppose 3 = l + 9. Let t = 8215 + -8195. What is the remainder when t is divided by -1 + 3 - (l - -5)?
2
Suppose 16*c = 87554 + 96558. What is the remainder when c is divided by 42?
41
Let s = 7759 + -7027. What is the remainder when s is divided by 70?
32
Suppose -5*g + 858 = 1138. What is the remainder when 209 is divided by g/(-6) - (6 + 100/(-15))?
9
Let n = 175 - 156. Suppose 21*f - n*f = 24. Calculate the remainder when 309 is divided by f.
9
What is the remainder when 189 is divided by (16 - 17)*1 + 143?
47
Suppose -3*i = -0*i - 66. Suppose -1185 = -11*b + 2027. Suppose -b - 144 = -4*n. Calculate the remainder when n is divided by i.
21
Suppose -44 - 25 = -3*v. Suppose -5*j = -3*i + 437, -11*j + j = -5*j + 35. What is the remainder when i is divided by v?
19
Suppose -23*s - 650 + 42 = -55*s. What is the remainder when 1290 is divided by s?
17
Suppose 0*n - 4*n = 8. Let t = n - -7. Suppose 8*c + 8 - 32 = 0. What is the remainder when t is divided by c?
2
Let c(l) = -50*l - 4. Let p be c(-3). Suppose u = 4*t - 0*u - p, 3*u - 138 = -4*t. Calculate the remainder when t is divided by 31.
5
Let c = -1917 + 1931. Calculate the remainder when 116 is divided by c.
4
Let r = -11283 + 13345. Calculate the remainder when r is divided by 44.
38
Suppose -2*y - 4*k - 29 = -207, 4*k - 421 = -5*y. Let f = 103 - y. Let d = -121 + 175. Calculate the remainder when d is divided by f.
10
Let k(h) = -75*h - 1931. Calculate the remainder when 1206 is divided by k(-27).
78
Suppose -1054 = -2*i + 4*n, -2*i - 216*n + 1029 = -215*n. What is the remainder when i is divided by 33?
22
Suppose 23*c = 33*c + 2000. Let r = -148 - c. What is the remainder when r is divided by 33?
19
Let c(x) = -x**3 - 6*x**2 - 2*x - 6. Let f be c(-6). Let m(l) = l**3 + f*l**2 + 42*l - 39*l - 2 - 7. What is the remainder when 30 is divided by m(-4)?
8
Let c(l) = l**3 - 3*l**2 + 2*l. Let w be c(2). Suppose x + 20*x - 4578 = w. Calculate the remainder when x is divided by 6.
2
Suppose -4*n + 12*n + 616 = 0. Calculate the remainder when 115 is divided by ((-4)/7 + 506/n)*-7.
15
Suppose 0 = 7*q + 126 + 938. Let r = -155 - q. Calcula