vided by r?
9
Suppose 3*t = -4*w + 5*t + 20, 2*t - 7 = -5*w. Let d be ((-160)/w)/((-2)/(-6)). Let j = d + 242. What is the remainder when j is divided by 28?
26
Let h(t) = -2*t**3 + 42*t**2 - 3*t + 75. Calculate the remainder when 1007 is divided by h(21).
11
Suppose 5*a = 4*n - 1580, 4*n - 531 = -3*a + 1081. Let t = n + -266. Calculate the remainder when t is divided by 34.
32
Let r(k) = k**3 - 41*k**2 + 290*k - 52. Let z = 7 - -12. What is the remainder when z is divided by r(32)?
7
Let u(r) = -11*r - 13. Calculate the remainder when 99 is divided by u(-6).
46
Suppose 2893*u + 324 = 2897*u. What is the remainder when 318 is divided by u?
75
Suppose 17*q - 300 = 12*q. What is the remainder when q is divided by 16?
12
Suppose -33*r + 630 = 30*r. What is the remainder when 21 is divided by r?
1
Suppose -4*f = 2*a - 3*a + 59, 43 = -2*f + 5*a. What is the remainder when 827/15 + f/105 is divided by 29?
26
Let k = 90 + -88. Suppose -65 = -k*h + m, m + 97 = 3*h - 0*m. Calculate the remainder when 157 is divided by h.
29
Let m(f) = 6*f**2 - 103*f + 384. Suppose -d - 3*r = -28, -3*d - d - 3*r = -121. Calculate the remainder when m(13) is divided by d.
28
Suppose 3*p = -0*p + 9. Suppose -3*r - 21 = -4*k + 12, 0 = -3*k + 4*r + 23. Calculate the remainder when k is divided by p.
0
Let p(o) = -o**2 + 7*o - 6. Let f be p(5). Suppose 3*c + 16 = -c + 2*j, -5*j + 16 = -f*c. Calculate the remainder when c/20 + 52/10 is divided by 3.
2
Suppose -44*f + 2*q = -42*f - 760, f = 5*q + 372. Calculate the remainder when f is divided by 39.
31
Let n(f) = -3*f**2 + 2. Let l be n(1). Calculate the remainder when 229 is divided by (l - -4)*(-44)/(-4).
31
Let a(d) = d - 4. Let h be a(4). Suppose -5*t + 3 + 12 = h. Calculate the remainder when 4/(-4) - -12 - 0 is divided by t.
2
Suppose 35*i = 36*i - 26. What is the remainder when 75 is divided by i?
23
Suppose -w + 6 = 2*w, 2*q - 3*w = 0. Suppose 6*x - q*x = -2*z + 247, x = z + 74. Let f = 35 - 15. What is the remainder when x is divided by f?
19
Let q(j) = 5*j**2 + 11*j + 18. Let u be q(-10). Suppose -6*s = -2*s - 5*m - u, 0 = -2*s - 2*m + 204. What is the remainder when s is divided by 26?
24
Let q be (36/(-14))/(3/(-28)). Suppose 0 = s - q - 15. Calculate the remainder when s is divided by 7.
4
Let r = 116 + -76. Let g = r + -21. Suppose 4*x + 9*l - 75 = 4*l, x = -l + g. What is the remainder when 57 is divided by x?
17
Suppose 5*v - 73 = -a, -3*a - 8 + 31 = v. Suppose 17*c - 192 = v*c. What is the remainder when c is divided by 22?
20
Let m = -17 - -15. What is the remainder when m/3*255/(-10) is divided by 9?
8
Let f = 57 + -8. Let l = -47 + f. Calculate the remainder when l is divided by 2.
0
Suppose 5*n - 30 = -4*l + 48, n - 12 = -2*l. Let m be (-26)/(-5) - (-2)/(-10). Suppose -m*s = -10*s + 25. What is the remainder when n is divided by s?
3
Let r(o) = 2*o**2 + 7*o - 7. Let m be 9 - 6 - (1 + 0). Suppose -m*p + 34 = -0*p. Calculate the remainder when r(-8) is divided by p.
14
Suppose p + 4*l - 35 = 0, -4*l - 169 = 6*p - 9*p. What is the remainder when p is divided by 45?
6
Suppose -30*d - 2616 = -54*d. What is the remainder when d is divided by 20?
9
Suppose -3*s = u - 11, -3*u = 2 + 10. Suppose -2*r - r + 34 = 2*a, 4*a = 20. Calculate the remainder when r is divided by s.
3
Let v(o) = -222*o - 9. What is the remainder when v(-5) is divided by 46?
43
Let c be (-2)/3 - (-1)/(-3) - -6. Suppose -r - 2*l = -5*r + 622, -5*r = c*l - 755. What is the remainder when r is divided by 52?
50
Calculate the remainder when 131 is divided by 225/18 - 1/2.
11
Let x(u) = -11*u + 12. Let j = -35 + 68. What is the remainder when j is divided by x(0)?
9
Let z be (4 - 3)*(12/4 - -4). Suppose 5*t = z*t - 150. What is the remainder when t is divided by 13?
10
Let s(w) = w**3 + 12*w**2 - 12*w + 15. Suppose 11 = -x - 2. Suppose -4 - 1 = -m. Calculate the remainder when m is divided by s(x).
1
Suppose -3*m = m - 4, 3*b - 4*m - 38 = 0. Suppose p - 6*n = -7*n + 72, -p - 5*n = -72. Let k = p - 32. What is the remainder when k is divided by b?
12
Let t = -284 - -320. Calculate the remainder when 68 is divided by t.
32
Let i(d) = 4*d**2 + 12*d + 7. What is the remainder when 630 is divided by i(-6)?
77
Suppose -4*i = i - 40. Let h(m) = -2*m**2 + 20*m - 11. Calculate the remainder when h(i) is divided by 5.
1
Suppose 3*b + 0*s - 23 = -2*s, 2*s + 12 = 2*b. Suppose -b*q + 2*q = -155. Let r = -19464 + 19480. Calculate the remainder when q is divided by r.
15
Let z = -22 + 18. Let k(r) = -11*r - 12. What is the remainder when k(z) is divided by 17?
15
Let l be (-2)/(-3) + -1 + (-3)/(-9). Suppose -4*j = l, -2*j = -3*h + 2*j + 120. What is the remainder when h is divided by 14?
12
Let c(y) = 107*y - 104*y + 6*y**2 + y**3 - 3*y**2 + 2. Let j be c(-2). Suppose 2*k + 8 - 44 = j. Calculate the remainder when 69 is divided by k.
15
Let d(o) = o**3 - 4*o**2 + 4*o - 6. What is the remainder when 17 is divided by d(4)?
7
Suppose 16 = 2*l - l. Let k(z) = -2*z**2 + 9*z - 3. Let w be k(5). Let c(v) = -9*v - 27. What is the remainder when c(w) is divided by l?
13
Let y(d) = -16 + 3 - d**3 + 12*d**2 + 0*d**2 + 2*d + 3*d**2. Calculate the remainder when (2 + 15/(-6))*(4 - 68) is divided by y(15).
15
Let q = 123 - 19. What is the remainder when q is divided by 3?
2
Let b be -1*(-2)/12*4*18. Let j(q) = q**3 - q**2 + 4*q. Let u be j(3). What is the remainder when 65 is divided by b/u - 83/(-5)?
14
Let f = -88 - -92. Suppose 3*r - 10 = 11. What is the remainder when r is divided by f?
3
Suppose -1043 + 23 = -5*t. Calculate the remainder when t is divided by 13.
9
Suppose 11 = 5*z + 2*n - 27, 0 = 4*z + 2*n - 30. Let r(p) = -28*p**3 - 2*p - 1. Calculate the remainder when r(-1) is divided by z.
5
Suppose -3*a + 26 = 2. What is the remainder when a is divided by 16/48 + 8/3?
2
Let w(f) = 3*f - 2*f + 4 - 7*f - 17. Let i(c) = -c - 6. Let d be i(0). What is the remainder when w(d) is divided by 12?
11
Suppose 2*t + 25 = 3*t. Suppose 5*y - 27*y = -1606. What is the remainder when y is divided by t?
23
Let l = 900 - 885. What is the remainder when 251 is divided by l?
11
Let f(k) = -k**3 - 13*k**2 + 13*k - 3. Let c = -37 - -23. What is the remainder when 98 is divided by f(c)?
10
Suppose 5*m - 22 = 4*n, 3*m = 2*n + 15 - 1. Calculate the remainder when 30/5 - (8/2 - 8) is divided by m.
4
Let b(w) = 2*w - 70. Calculate the remainder when 55 is divided by b(42).
13
What is the remainder when 228 + (90/(-9) - -7) is divided by 38?
35
Let b(d) = d**3 - d**2 - d. Let f(l) = -3*l**3 - 5*l**2 - 3. Let g(o) = b(o) + f(o). Calculate the remainder when g(-4) is divided by (-6 + -3)*8/(-6).
9
Let y be 28/12*3 - -3. Let f be ((-7)/(-14))/(1/y). Suppose -2*s + 1 + 5 = 0, 4*s - 82 = -f*q. What is the remainder when 40 is divided by q?
12
Suppose 3*a + 4*t - 164 = 0, -4*a + 2*t - 63 + 245 = 0. Calculate the remainder when a is divided by 22.
4
Let x(q) = -q**3 - 9*q**2 - 10*q - 11. Let k be x(-8). Suppose 0 = -k*f + 3*f + 40. What is the remainder when 76 is divided by f?
16
Let o(f) = -f - 18. Let z(n) = -2*n - 18. Let y(l) = 2*o(l) - 3*z(l). Let r(s) = 2*s - 6. Let v be r(6). What is the remainder when y(v) is divided by 22?
20
Suppose 0 = -3*y - 3*u + 69, 0 = -3*u - 8 + 14. Let i(t) = -t**3 - 11. Let x be i(0). Let z(j) = -j - 3. Calculate the remainder when y is divided by z(x).
5
Suppose 2*g + 1402 = 4*f, -3*f = -23*g + 20*g - 1056. What is the remainder when f is divided by 25?
24
Let u = -904 - -910. Calculate the remainder when 14 is divided by u.
2
Suppose -3*g + 8*g - 20 = -4*j, 3*g - 44 = 4*j. Let p = 11 - g. Suppose -4*x + 35 = h, 3*h - 8*h + 129 = -p*x. Calculate the remainder when h is divided by 15.
12
Let d(f) be the second derivative of 1/3*f**4 + 5/3*f**3 - 4*f + 0 - 5/2*f**2. What is the remainder when d(-5) is divided by 8?
5
Let d(r) = 4*r + 1. Suppose 0 = j - 1 - 4, -2*v = 4*j - 34. What is the remainder when d(10) is divided by v?
6
Suppose -2*m = -5*o + 10*o - 12, 2*o - 7 = -3*m. Calculate the remainder when 29 is divided by o.
1
Calculate the remainder when 31725/315 - 6/(-21) is divided by 37.
27
Suppose 0 = 11*r + 218 - 636. Calculate the remainder when r is divided by 14.
10
Let u = -155 - -269. Suppose 4*h = -2*k + u, 4 - 6 = -2*h. What is the remainder when k