be u(5). Let d(k) = -k - 3. What is the remainder when d(t) is divided by 4?
1
Let c(g) = -g**2 + 8*g + 12. Let r be c(9). Suppose -r*q - 12 = 0, -4*p + 2*q = 8 - 72. Let l(s) = -12*s - 22. What is the remainder when l(-5) is divided by p?
10
Let g = -573 - -1121. What is the remainder when g is divided by 50?
48
Let j = 287 + -71. Suppose 0 = -4*s + j + 16. Let v = s - 7. Calculate the remainder when v is divided by 18.
15
Suppose 0 = -9*i + 17 + 10. Suppose i*y + 40 = 11*y. Let o = 20 - 6. What is the remainder when o is divided by y?
4
Let r = -7 - -16. Suppose 5*l - 4*s = 15, 0 = -3*l + s + 4*s + 9. Suppose -x + 57 = l*h - 3, x - h - 48 = 0. What is the remainder when x is divided by r?
6
Let n be 3/(-15)*-5*(26 - 1). Suppose -81 = -4*b + 2*w - n, 2*b - 8 = -4*w. Suppose 2*d - 172 = -2*d. Calculate the remainder when d is divided by b.
7
What is the remainder when 7*4*(-102)/(-12) is divided by 60?
58
Suppose 0 = -3*c - 21 + 108. Suppose 0*v + 58 = 3*v + 5*b, 0 = 5*v + 2*b - 84. Calculate the remainder when c is divided by v.
13
Let o = -81 - -172. What is the remainder when 1/(1/o - 0) is divided by 23?
22
Suppose 0 = -w + 4*h + 1893, 0 = -61*w + 59*w + 2*h + 3804. Calculate the remainder when w is divided by 53.
50
Let j = 215 + -152. Calculate the remainder when j is divided by 9 + (7 - 4 - -4).
15
Let v be 3/((-3)/(-7))*-1. Let a(f) = 2*f**2 + 4*f. Let y be a(v). Suppose 0 = -2*j + y - 22. What is the remainder when j is divided by 13?
11
Let s(h) be the first derivative of -h**3 + h**2/2 + 85*h - 32. What is the remainder when s(0) is divided by 22?
19
Suppose 31 + 18 = x. Calculate the remainder when x is divided by ((-20)/(-25))/(4/90).
13
Let x(p) = 9*p - 68. Calculate the remainder when x(9) is divided by 2.
1
Let a(n) = 12*n - 4. Let d be a(2). Suppose 0*g + d = 4*g. What is the remainder when 5 is divided by g?
0
Calculate the remainder when 64 is divided by (1 + -77 + 6)*(-3)/6.
29
Suppose 0 = -112*a + 121*a - 99. Calculate the remainder when 581 is divided by a.
9
Calculate the remainder when 260 is divided by (-69)/(-3) - (-19 + 5 - -11).
0
Let q(l) = -l**2 - 6*l + 5. Let s(r) = 5*r - 4. Let k(x) = -2*q(x) - 3*s(x). Suppose 2*a + 0 = 32. Calculate the remainder when k(-4) is divided by a.
14
Suppose 0 = -0*c - 4*c - 64. Let r = c - -47. Suppose 132 = -13*v + 24*v. What is the remainder when r is divided by v?
7
Let p be ((-3)/2)/((-6)/8). Suppose 4*j = -11 + 35. What is the remainder when (-3 - -2)*(p - 25) is divided by j?
5
Let f(q) = -9*q - 2. Let t be f(-9). Let s = 158 - t. Suppose -4*y + y = w - 3, s = 5*w - y. What is the remainder when w is divided by 4?
3
Suppose -445 = -5*z + 820. Calculate the remainder when z is divided by 51.
49
Suppose -30 = -y + 35. Let c = 35 - y. What is the remainder when c/(-2*3/6) is divided by 8?
6
Let g be 2/((-8)/21)*-24. Let u = 145 - g. Calculate the remainder when 187 is divided by u.
16
Let n(a) = -5 + 12*a**2 + 2*a + 5*a**2 - 10*a**2 - a**3. Suppose -7*s = -s - 258. What is the remainder when s is divided by n(7)?
7
Suppose -5*r + 538 = 4*n, -r = -4*r + 2*n + 314. Calculate the remainder when r is divided by 2.
0
Let b be (-2 + 2)/(3/(9/3)). Suppose 5*p - 223 = 3*z, 3*p - 134 = 2*z - b*z. What is the remainder when p is divided by 15?
14
Let m(b) = 3*b + 190. What is the remainder when m(9) is divided by 3?
1
Let d(p) = 136*p - 239. Calculate the remainder when d(4) is divided by 51.
50
Suppose -3*u = 4*z - 849, z + 640 = 4*z - u. What is the remainder when z is divided by 24?
21
Suppose 2*l - 5*l - 3 = 0. Let x = 5 + l. Suppose -v = 5*z - 22, -3*v + 14*z - 18*z = -22. Calculate the remainder when x is divided by v.
0
Let m(z) = 4*z - 9. Let j(i) = -13*i + 28. Let l(x) = 2*j(x) + 7*m(x). What is the remainder when 6 is divided by l(5)?
0
Suppose -13932 - 2618 = -25*q. Calculate the remainder when q is divided by 37.
33
Let t(i) = i**3 + 34*i**2 - 67*i + 184. Let w = 0 - -3. Calculate the remainder when t(-36) is divided by w.
1
Suppose -3*t = 4*r - 28, -10 - 12 = -3*r - 2*t. Let i = -62 - -89. Calculate the remainder when i is divided by r.
7
Suppose o = -2*m + 35 + 42, -5*m = o - 185. Suppose -5*v + 25 = -15. Suppose -v*l + 3*l = -95. What is the remainder when m is divided by l?
17
Let i(x) = -3*x**3 - 22*x**2 + 6*x + 20. Calculate the remainder when i(-8) is divided by 26.
22
Suppose -23 + 57 = i. Let b = -45 - i. Let c = b + 171. What is the remainder when c is divided by 19?
16
Let c(y) = -2*y - 36. Suppose -2 = h - 0*i - i, -5*h - 5*i + 10 = 0. Let f be c(h). Calculate the remainder when 24 is divided by (f/(-4))/(-1 - -2).
6
Let b(z) = z**2 + 5*z - 1. Let c be b(1). Suppose q - 3*d = 2*q - 72, 3*q - c*d - 202 = 0. What is the remainder when q is divided by 25?
19
Let i = -52 - -70. What is the remainder when 62 is divided by (-22)/(-2) + 0 + 36/i?
10
Suppose 4155 = 3*n + 2*n + 3*c, 3*n - 2469 = 3*c. Let j = 278 - n. Calculate the remainder when j/(-15) - (-4)/12 is divided by 19.
18
Suppose 4*q = 24 + 4. Suppose -3*m = 3*d + 3 - 6, 2*d + 3*m - q = 0. What is the remainder when 10 + d - -2 - 1 is divided by 5?
2
Let q(f) be the second derivative of f**4/4 + 7*f**3/6 + 5*f**2 - 12*f. What is the remainder when q(-5) is divided by 18?
14
Suppose 0 = -4*z + 39 - 175. Let p = -23 - z. Suppose -5*q + 4 = -p. Calculate the remainder when q is divided by 2.
1
Let g(v) = 2*v**2 - v - 6. Let x(w) = -w**3 + 8*w**2 + 16*w - 40. Calculate the remainder when x(9) is divided by g(3).
5
Suppose -3*u + 332 = 2*x, -x + u = 55 - 211. Let g = -77 + x. What is the remainder when g is divided by 21?
20
What is the remainder when (-1 - -4)/(-3) - -13 is divided by (72/(7 + -3))/2?
3
Let d(m) = m**3 - 8*m**2 + 7*m + 27. What is the remainder when d(7) is divided by 13?
1
Suppose 0 = k - 3*k + 8. Suppose k*f - 78 = -2*f. Suppose -h = 5*a - 0*a - 38, -4*a = -2*h + 76. What is the remainder when h is divided by f?
12
Let s = -100 - -113. Calculate the remainder when 51 is divided by s.
12
Suppose 33*d = 23*d + 130. Calculate the remainder when 295 is divided by d.
9
Let t = -80 - -116. Calculate the remainder when 175 is divided by t.
31
Suppose 4*s = -3*h + 9 + 7, 0 = -h - 4*s + 8. Suppose h*l - 4*o = 68, -5*o + 45 = 3*l - 2*o. What is the remainder when 47 is divided by l?
15
Let m = 153 - 36. What is the remainder when 26/m + 1 + (-322)/(-9) is divided by 8?
5
Let o(d) = 8*d - 3. Let g = 2 - 12. Let q be 10/(-4)*32/g. What is the remainder when o(q) is divided by 16?
13
Suppose 11*k - 13*k = 62. Let l = k + 33. Suppose l*q + 4*m - 38 = 0, 33 = 3*q - q + 5*m. Calculate the remainder when q is divided by 10.
9
Let k(z) = z - 3. Let c be k(0). Let t = -126 + 138. What is the remainder when (61 + 5)/(c/(-2)) is divided by t?
8
What is the remainder when 306 is divided by (-8)/(-7)*(13 - (-1 + -14))?
18
Suppose -8 = d - 2*x, 1 = -2*d - 4*x + 25. Calculate the remainder when (618/(-6))/((-2)/d) is divided by 26.
25
Let c be 24 + (0/(-3))/2. Suppose -c = 3*l - 93. What is the remainder when 43 is divided by l?
20
Let y = -6 + 11. Suppose 0 = -8*h + y*h + 207. Suppose 4*w - 7*w = -h. Calculate the remainder when w is divided by 8.
7
Let v(x) = x - 12. Let u = -23 - -13. Let i be v(u). Let t = -12 - i. What is the remainder when 18 is divided by t?
8
Let p = 252 + -67. What is the remainder when p is divided by 90?
5
Let d = -53 - -83. Suppose j = 6 + 6. Suppose j*w = 7*w + 40. What is the remainder when d is divided by w?
6
Calculate the remainder when (72/108)/((-2)/(-261)) is divided by 29.
0
Calculate the remainder when 248 is divided by (-738)/(-30) - 4/(-10).
23
Let b = 840 + -749. What is the remainder when 1728 is divided by b?
90
Suppose -4*u = 3*j + j - 20, -j = 2*u - 4. Suppose j*k + 1 = 25. Calculate the remainder when 5 is divided by k.
1
Suppose -26 = 4*h - 86. Let k(s) = 5*s**2 + s + 1. Let y be (36/(-30))/(6/15). Calculate the remainder when k(y) is divided by h.
13
Suppose 164 = -10*q + 14*q - 5*p, 2*p + 116 = 3*q. Suppose -4*i + 49 = -27. What is the remainder when q is divided by i?
17
Let u(i) = 21*i**3 - 2*i**2 + i. Suppose -5*j = -2*x - 979, 7*j - 803 = 3*j - 5*x. Let z = j + -140. What is the remainder when z is divided by u(1)?
17
Suppose 0 = 4*i - 107 + 31. Let w(t) = 3 - 5 + 5