i.
2
Suppose -4*y = -5*h - 26, 10*y + 3*h + 18 = 13*y. What is the remainder when 11 is divided by y?
3
Let m(y) = -3*y - 36. Calculate the remainder when 142 is divided by m(-24).
34
Let w(m) = -100*m**3 - m. Let t = -52 - -78. Calculate the remainder when w(-1) is divided by t.
23
Suppose 0 = -3*f - 4*n - n + 145, -3*n - 39 = -f. What is the remainder when f is divided by 15?
0
Let s = -15 - -1. Calculate the remainder when 22/(-77) + (-382)/s is divided by 14.
13
Suppose 0 = -3*p + 2*t + 9, 3*p = -t - 0*t. Let y = 2 + p. Suppose -4 = -i - y. What is the remainder when 1 is divided by i?
0
Suppose -613*s - 845 = -618*s. What is the remainder when s is divided by 29?
24
Let k(g) = 19*g + 251. Let i be 3/(6/(-4)) - 26. Let f = i + 42. What is the remainder when f is divided by k(-13)?
2
Suppose -5*h + 334 = 2*b, 892 = 3*b + h + 378. Let f = b - 116. What is the remainder when f is divided by 10?
6
Suppose 0 = -15*h - 12*h + 324. Calculate the remainder when 42 is divided by h.
6
Let z = 27 + 41. Calculate the remainder when 21 is divided by z/11 - (-4)/(-22).
3
Suppose 0 = -3*s - p + 5, 2*p - p = 5*s - 19. Suppose s*w = -11 + 17. What is the remainder when 2 is divided by w?
0
Let u be 80/(-5 + 0 + 6). Let x = -5 + u. Calculate the remainder when x is divided by 19.
18
Calculate the remainder when (((-30804)/(-8))/17)/((-3)/(-4)) is divided by 61.
58
Let z = -254 - -297. What is the remainder when z is divided by (-2 + 1)/((-1)/15)?
13
Suppose -3*d + t = -72, -3*d + 3*t + 2*t = -84. What is the remainder when 127 is divided by d?
12
Let z(d) = 201*d**2 - d + 3. What is the remainder when z(1) is divided by 34?
33
Calculate the remainder when (3 - 44/12)/((-10)/345) is divided by 2.
1
Let o(h) = -h**2 - 19*h - 36. What is the remainder when 35 is divided by o(-3)?
11
Let j = 14 - 13. Calculate the remainder when 47 is divided by 67/(-4)*-1 + j/4.
13
Let c(t) = -t**2 + 12*t - 21. Suppose -4*u + 4*b = -44, -3*u + 6 + 17 = 2*b. Calculate the remainder when 9 is divided by c(u).
3
Let x = 6875 + -6857. Let p(u) = 1 - 4*u - 2*u + 0. Calculate the remainder when x is divided by p(-1).
4
Let t(p) be the third derivative of -p**4/24 - 3*p**3 - 6*p**2. Let j be t(12). Let g = -17 - j. Calculate the remainder when 50 is divided by g.
11
Let g = 388 - 380. What is the remainder when 35 is divided by g?
3
Suppose 0 = -4*q + 40*q - 3168. What is the remainder when q is divided by 23?
19
Suppose -11*d = -1042 + 393. Calculate the remainder when d is divided by 8.
3
Suppose -3*h = -12, -h + 5*h - 46 = 5*t. Let c(b) = b + 5. Let w be c(t). Let y(g) = 2*g**2 + g + 2. What is the remainder when 7 is divided by y(w)?
1
Let q(c) = 60*c + 4. Let i be q(3). Suppose -4*r - 79 = -w, 4*w + 4*r = 232 + i. What is the remainder when w is divided by 25?
24
Let v(x) = -19*x + 147. Calculate the remainder when v(7) is divided by 5.
4
Suppose -56*l + 42*l + 154 = 0. What is the remainder when 46 is divided by l?
2
Suppose 3*w - 5*y - 53 = w, 28 = w - 3*y. Let n(p) = 3*p**2 + 2*p - 12. What is the remainder when n(-5) is divided by w?
15
Let g = -344 - -661. Suppose 23*m = -8*m - 11*m + 2688. Calculate the remainder when g is divided by m.
61
Let i(c) = c + 8. Let a be i(-5). Let u(o) = o + a*o**2 - 5 + 3 + 4*o**2. What is the remainder when u(3) is divided by 17?
13
Let p = 23 + -4. Suppose -39 = -t - 3*k + 60, -5*t = 3*k - 459. What is the remainder when t is divided by p?
14
Suppose -5*k + 24 = -2*k. Suppose -5*j + 35 = -5*b, -3*b + 0*b = -2*j + 20. What is the remainder when (-1)/(-6) - 137/b is divided by k?
7
Let y(c) be the second derivative of -c**5/20 - c**4/4 - 7*c**3/6 + c**2/2 - 14*c. What is the remainder when 176 is divided by y(-4)?
41
Suppose -p = -0*p - 3. Suppose k - 2 = n - 10, 24 = 3*n - k. Suppose 3*v - 5*a - 15 = -3, -4*a + n = 2*v. What is the remainder when v is divided by p?
1
Suppose 5*y + 6*o = 2*o + 272, -y = 3*o - 50. Suppose -4*d + 44 = 4*j, 2*d - 37 = -d + j. What is the remainder when y is divided by d?
8
Let o(a) = -a**3 + 25*a**2 - 21*a + 34. What is the remainder when o(24) is divided by 19?
11
Suppose -20 - 32 = -2*j - 4*o, -2*j - 3*o + 49 = 0. Calculate the remainder when 193 is divided by j.
13
Let o(x) = -2*x**2 + 34*x + 87. What is the remainder when 15 is divided by o(19)?
4
Suppose 56*k = 3*x + 53*k - 192, x - 72 = -k. What is the remainder when x is divided by (-1*1 - -1) + 18?
14
Suppose 0 = 2*x + t - 135, -4*x - 15*t = -17*t - 290. Calculate the remainder when x is divided by 40.
30
Suppose 0*n - 112 = -8*n. Let u = 0 - 0. Suppose a + u*a + 154 = 4*g, 0 = g + 3*a - 45. Calculate the remainder when g is divided by n.
11
Suppose -8 + 1 = 3*k - 4*v, 5*k + 5*v + 35 = 0. Let m(n) = 3*n + 27. Calculate the remainder when 43 is divided by m(k).
7
Let c(x) = x**3 - 12*x**2 + 11*x - 15. Let n be c(11). Let r be (n - -9)*(-1 + -31). Suppose p - 4*p = -r. What is the remainder when p is divided by 17?
13
Suppose 9*c - 7*c - 4 = 0. Suppose c*h + 16 = 70. Calculate the remainder when h is divided by 16.
11
Suppose 4*w = 2*l - 392, 8*w + 589 = 3*l + 3*w. Calculate the remainder when 407 is divided by l.
11
Suppose 18 = -6*y + 9*y. Suppose y*v - 150 = 12. Calculate the remainder when v is divided by 2/(-12)*-3*20.
7
Let w = 11 + 15. Let p(j) = -8*j - 106. Calculate the remainder when w is divided by p(-15).
12
Suppose 220 = 5*v + 23*a - 24*a, -5*v = -3*a - 230. Calculate the remainder when 299 is divided by v.
41
Let u(a) = a**2 - a + 12. What is the remainder when 53 is divided by u(0)?
5
Let n(z) = z**2 + z + 11. Suppose -m + 7 = 2*v, -m - 30 = -3*v + 4*m. Suppose 0 = -0*i + v*i. Calculate the remainder when 19 is divided by n(i).
8
Suppose -50*f - 122 = -48*f. Let k = 74 + f. Let o(p) = 23*p**2. What is the remainder when o(1) is divided by k?
10
Let v(i) = i**3 - 4*i**2 + 4*i - 5. Let c be v(4). Suppose -f + c + 15 = 0. Calculate the remainder when f is divided by 7.
5
Let q be ((-2)/((-1 - -2) + -3))/1. Let h(y) = 40*y**3 + y**2 - y. Calculate the remainder when 159 is divided by h(q).
39
Suppose -2*o = -5*k + 25, 32 = -3*o + 5*k - 3*k. Calculate the remainder when 6 is divided by -2 + -10*4/o.
0
Calculate the remainder when 18/42 - (-554)/14 is divided by 40.
0
Calculate the remainder when 198 is divided by 1/(68/(-8)) - 684/(-34).
18
Suppose -u + q + 21 = -24, 2*u - 92 = 3*q. What is the remainder when u is divided by 24?
19
Let z = -32 + 36. Suppose b + 178 = 5*b + 3*m, -z*m + 94 = 2*b. Calculate the remainder when b is divided by 11.
10
Let s = 429 - 398. Suppose -362 = -4*b - 2*p, 2*p = b - 32 - 56. What is the remainder when b is divided by s?
28
Let x = 72 - 69. Suppose t = -x*t + 152. What is the remainder when t is divided by 21?
17
Let j = -198 + 224. What is the remainder when 153 is divided by j?
23
Let t = 40 + -33. What is the remainder when 0/3 + 1*13 is divided by t?
6
What is the remainder when (-6)/(-15) + 1912/20 + -4 is divided by 43?
6
Suppose -5*s = 3*c - 38, 3*s + 10 = 5*c - 8. Suppose -c*k - 25 = -7*k. Calculate the remainder when 99 is divided by k.
24
Let d = -563 + 570. Calculate the remainder when 82 is divided by d.
5
Suppose -2*l - 3*l = 5*a - 155, a + 2*l = 36. What is the remainder when a is divided by (96/15 - 6)/(16/280)?
5
Let a be -68 - (1 + -5 + 5). Let k = 98 + a. What is the remainder when 172 is divided by k?
27
Suppose -b - 92 = -3*i + 48, -3*b - 6 = 0. Let a = i + -30. Calculate the remainder when a is divided by 11.
5
Calculate the remainder when 4/((-4)/(-7)*154/572) is divided by 8.
2
Suppose 0*o - 4*o + 1200 = 0. Suppose -100 = u - 2*u - q, -3*u + o = q. Calculate the remainder when u is divided by 34.
32
Let c = -2397 + 3144. Calculate the remainder when c is divided by 25.
22
Suppose 0 = -s + 3*j + j + 68, 4*s + 4*j = 172. Suppose 0 = 2*d - 96 + 34. Suppose 3*z - d = 8. What is the remainder when s is divided by z?
9
Let y = -450 + 725. What is the remainder when y is divided by 70?
65
Suppose -12 + 44 = 4*i. Let n be (5 + 0)/(i - 7). Suppose 0 = n*j - j - 12. Calculate the remainder when 11 is divided by j.
2
Let w(k) = k + 15. Let d be w(-12). Let p be (-3 - -5) + d/3. Suppose 0 = 2*x - p*x + 10. Calculate the remainder when x is divided by 6.
4
Suppose -314 = -4*y + 2*d, -176 = -5*y - 3