 d be n(18). Suppose -12*t + d*t = 18. Calculate the remainder when 21 is divided by t.
3
Suppose -99 + 339 = -6*x. Let t = 87 + x. Calculate the remainder when t is divided by 8.
7
Let l(j) = j**3 + 11*j**2 - 10*j + 11. Let q be l(-12). Let a = 16 + q. What is the remainder when (-310)/(-6) + a/9 is divided by 18?
16
Let k(m) = -m**2 + m + 120. Calculate the remainder when 37 is divided by k(11).
7
Suppose 3*o = 46 - 13. Suppose 0 = 584*q - 22007 - 3388 + 867. Calculate the remainder when q is divided by o.
9
Suppose 3*q = -3*f + 75, 2*q + 10 = -0*q. Suppose -2*o = -5*o + f. Let s(i) = 2*i**2 - 51*i - 19. Calculate the remainder when o is divided by s(26).
3
Suppose -26*n + 16390 = 29*n. What is the remainder when n is divided by 52?
38
Suppose -8*w + 54 = -5*w. Suppose -3*d + j + 131 = w, 2*j - 33 = -d. Let r = 50 - d. Calculate the remainder when 37 is divided by r.
11
Suppose 5*y + 25*g - 866 = 22*g, y = 4*g + 187. Calculate the remainder when y is divided by 44.
43
Suppose -3*s + s - 2*w = 2, 3*w + 19 = 5*s. Let r = -5 + s. What is the remainder when (-51)/(-9) + 2/r is divided by 3?
2
Suppose 0 = -5*x - 29 + 179. Let c(u) = -u**3 - 14*u**2 - 26*u - 7. What is the remainder when x is divided by c(-12)?
13
Let a(w) be the third derivative of -w**6/120 + 3*w**5/20 - w**4/12 + 23*w**3/6 - 11*w**2. What is the remainder when a(9) is divided by 5?
0
Suppose -5*d = -9716 + 2476. Calculate the remainder when ((-6)/(-15))/(5/(2 + d)) is divided by 17.
14
Suppose 4*b - 3*t + 5 - 121 = 0, 20 = 5*t. Calculate the remainder when b is divided by (-2)/3 + 106/6.
15
Suppose 5*a + 5 = -0, -4*q - 3*a + 297 = 0. Let o = -98 + 104. Suppose y - 5*f = 37, -5*y - 4*f + q = o. What is the remainder when 32 is divided by y?
15
Suppose -5*b = -783 + 188. Let a = b + -63. Calculate the remainder when a is divided by 19.
18
What is the remainder when 7 is divided by -5*7/(-175) + 57/15?
3
Let p(d) = -3*d**3 + 11*d**2 + 14*d - 7. Calculate the remainder when 190 is divided by p(4).
25
Let h = -133 - -89. Calculate the remainder when 41/((4 - 5) + 2) is divided by h/(-2)*(-2)/(-4).
8
Let b(v) = -13*v - 63. Let m be (-10)/(2 - 0)*-1. Let t(d) = 5*d - 4. What is the remainder when b(-8) is divided by t(m)?
20
Calculate the remainder when (1 + 5)*((-23)/(-3) + 1) is divided by 19/((-4 - -5)*1).
14
Suppose 0 = 5*r + 4*a - 53, 5*r + 0*r - 37 = 4*a. Let u = 1 + r. Calculate the remainder when u is divided by 4.
2
Let b = 8 - 0. Let l(z) = z - 7. Let p be l(b). Calculate the remainder when 32 is divided by -11*p*(-4)/4.
10
Suppose 4*b = 20*b - 3936. What is the remainder when b is divided by 26?
12
Suppose -150 = -12*d - 66. Calculate the remainder when 138 is divided by d.
5
Suppose 12*p - 11*p - 4 = 0. Suppose -52 = -p*d - 0*h + 4*h, -2*h + 22 = 2*d. What is the remainder when 71 is divided by d?
11
Let n be ((-5)/2)/(1/2). Let i(l) be the second derivative of l**4/3 + l**3/3 - 5*l**2/2 - l. Calculate the remainder when i(n) is divided by 22.
19
Suppose 227 = u + 96. Calculate the remainder when u is divided by 19.
17
Let y be (14/7)/(1/5). Suppose -k + 0 = -y. Suppose -3*v = n + 2*v - 35, k = 2*v. What is the remainder when 38 is divided by n?
8
Calculate the remainder when 157 is divided by 8*((-24)/(-12) + -1 + 0).
5
Let b = -20 - -22. Suppose 5*x = w - 6*w + 345, b*x - 2*w = 150. What is the remainder when x is divided by 30?
12
Let s(z) = 3*z - 13. Let p be s(13). Suppose 8*i - 6*i - p = 0. Let a(j) = 9*j**3 - 2*j**2 + 1. Calculate the remainder when i is divided by a(1).
5
Suppose -121 = -5*j + 249. Suppose 4*z - 19 - 21 = 0. Suppose z = 2*s - 40. Calculate the remainder when j is divided by s.
24
Let s = -1140 - -1410. What is the remainder when s is divided by 33?
6
Suppose 68 = 6*l - 46. Let s = 208 - 136. Calculate the remainder when s is divided by l.
15
Let c(s) be the first derivative of s**4/4 + 17*s**3/3 - 2*s**2 - 37*s + 20. What is the remainder when 122 is divided by c(-17)?
29
Let r = -6 + 6. Suppose 18 = 2*m - r*m. What is the remainder when 43 is divided by m?
7
Suppose 0 = 6*k - 1152 - 0. What is the remainder when k is divided by 179?
13
Suppose -3*j - 42 = -3*x, 2*x - 23 = x + 4*j. What is the remainder when 32 is divided by x?
10
Let u(n) = 4*n + 183. What is the remainder when u(-4) is divided by (2/(-3))/(4/(-258))?
38
Calculate the remainder when 26 is divided by (-19)/76*-2*22.
4
Let o(r) = r**2 - 10*r - 21. Calculate the remainder when 29 is divided by o(13).
11
Let q = 130 + -64. Suppose 0*g - 170 = -5*g. Calculate the remainder when q is divided by g.
32
Suppose a - 12 = 3*c, -5*c - 40 = -3*a - 0*c. Calculate the remainder when (-121 + 123)/((6/(-73))/(-3)) is divided by a.
13
Suppose -4*m + 59*k + 492 = 55*k, -4*m = -k - 489. Calculate the remainder when m is divided by 28.
10
What is the remainder when 1054/14 - (16/7 + -2) is divided by 19?
18
Suppose -19*v = -3*v - 1136. Calculate the remainder when v is divided by 52.
19
Let q be (-318)/(-15) + (-1)/5. Suppose x - n + 0 = 1, n + q = 5*x. Let s = x - 0. Calculate the remainder when s is divided by 2.
1
Calculate the remainder when 95 is divided by 6 + -3*(-19 - -5).
47
What is the remainder when 1 + 242/4*(-22 - -24) is divided by 21?
17
Let h(m) = -10*m - 223. What is the remainder when h(-32) is divided by ((-1)/(-2))/((-2)/(-100))?
22
Suppose 78*w - 87*w = -837. What is the remainder when 104 is divided by w?
11
Suppose -3*x + 35 = -10. What is the remainder when 5/(10/(-4)) + (x - -6) is divided by 11?
8
Let w = -14 + 17. Suppose -5*u - 4*t + 150 = 0, 0 = -5*u - 0*t - w*t + 145. Suppose -2*o + 80 = u. What is the remainder when 78 is divided by o?
24
Calculate the remainder when ((-34)/(-14) - 2) + 175890/455 is divided by 15.
12
Suppose -v = -3*d - 0*v + 93, d + 5*v = 31. Let w = d - 18. Let g(s) = 7*s**3 - 196*s**2 + s - 4. Calculate the remainder when g(28) is divided by w.
11
Let r(i) = i**3 + 19*i**2 + 13*i + 42. What is the remainder when r(-18) is divided by 17?
13
Suppose 3*m - 162 = -4*r, 4*m + 12*r = 9*r + 209. Suppose -2*n + 3 = -5*n. Calculate the remainder when m is divided by n + 0 - -2*7.
11
Suppose 0 = -2*c + w + 32, -3*c + 5*w + 17 + 38 = 0. Suppose -2*n - 6 = 8. Let p = c + n. Calculate the remainder when 30 is divided by p.
6
Let x be (318/21)/((-2)/(-14)). Let z be x + 0 - 1*-2. Suppose -6*n + z = 2*p - 5*n, p - 4*n - 54 = 0. What is the remainder when p is divided by 14?
12
Let c = 17 + -11. Suppose 4*p = -4*q + 29 + 27, 5*p + 2*q - 55 = 0. Suppose 2*t - 13 = p. Calculate the remainder when t is divided by c.
5
Let u be (-1)/((-3)/(-192)) - 1. Suppose -3*n + 0*n = -66. Calculate the remainder when 103 is divided by n/(-33) + u/(-3).
19
Let o(w) = w**2 + w - 1. Let l(k) = -6*k**2 - 30*k - 7. Let i(q) = l(q) + 5*o(q). What is the remainder when i(-7) is divided by 39?
36
Suppose 109 + 41 = -5*u. Let x = -12 - u. Let q(c) = c**2 + 3*c. What is the remainder when x is divided by q(-5)?
8
Suppose 22*v - 2291 - 1625 = 0. Calculate the remainder when v is divided by 14.
10
What is the remainder when -2*(-14)/(-8)*20928/(-336) is divided by 32?
26
Suppose 54*d - d = 1431. Calculate the remainder when 93 is divided by d.
12
Suppose -9 = -6*j + 573. What is the remainder when j is divided by 4?
1
Suppose -5*w + s = 20 - 306, 5*w + 4*s = 306. Suppose -5*z + 5*n = -30, -6*z - 5*n + w = -3*z. Let c = 30 - z. Calculate the remainder when 36 is divided by c.
17
Let v(j) = 8*j**2 - 17. What is the remainder when v(-4) is divided by 8?
7
Suppose -27*b = -11*b - 1056. Calculate the remainder when 189 is divided by b.
57
Let y = -181 + 331. Suppose -2*h = -5*h + y. Let r = 35 + -18. What is the remainder when h is divided by r?
16
Suppose 0 = -5*w + 580 - 185. Calculate the remainder when 216 is divided by w.
58
Let s(v) = 2*v**2 + 38*v - 46. Calculate the remainder when 92 is divided by s(-21).
16
Suppose -5*z = -8*z + 1476. What is the remainder when z/8*4/3 is divided by 43?
39
Suppose j - s - s + 2 = 0, 2*s - 14 = -5*j. Suppose -j*o + c + 2*c + 33 = 0, -o - c + 9 = 0. Calculate the remainder when 28 is divided by o.
4
Suppose -5*f - 5 = 0, 0 = r + 7*f - 9*f - 671. What is the remainder when r is divided by 52?
45
Suppose -4*y + 634 = d, 3*d - 5*d = -y - 1241. What is the 