 = -3*d - 2076, -5*y + 2*d = -1855 - 1602. What is the remainder when y is divided by 21?
19
Suppose 9*g - 69 = 479 + 802. Calculate the remainder when 912 is divided by g.
12
Suppose 3*o = -5*b + 4*o + 531, o = b - 103. Let x = b - 88. Suppose x = 3*n + 4*a, 5*n + 0*a - 4*a + 11 = 0. What is the remainder when 2 is divided by n?
0
Suppose -3*m + 3*f + 2532 = 0, 2*f = -3*m + 3476 - 924. What is the remainder when 1706 is divided by m?
10
Let x(v) = -7*v**3 + 6*v**2 + 10*v + 7. Let z(f) = f**3 - f**2 - f. Let w(o) = x(o) + 6*z(o). What is the remainder when w(-3) is divided by 14?
8
Suppose 143*d + 1802 = 160*d. Calculate the remainder when 176 is divided by d.
70
Let u(o) = -15*o + 17. Let v(g) = 9*g**2 - g + 1. Let f be v(1). Let d be u(f). Let h = -82 - d. What is the remainder when 106 is divided by h?
34
Let d(c) = 2*c**3 + 73*c**2 - 39*c - 57. Suppose -4*t + 77 = n - t, 0 = 4*n - 2*t - 252. What is the remainder when n is divided by d(-37)?
14
Suppose -4*z = 2*w + 372, 2*w + 251 + 106 = z. What is the remainder when 115 is divided by (-19)/(-133) + w/(-14)?
11
Let i = 1156 + -262. Suppose 0 = 57*z - 59*z + i. What is the remainder when z is divided by 90?
87
Suppose 325*z - 543377 = 74123. Calculate the remainder when z is divided by 112.
108
Let k(c) be the second derivative of -c**5/20 + 7*c**4/12 - 7*c**3/6 + 13*c**2/2 + 65*c. What is the remainder when 24 is divided by k(6)?
3
Let v = -5696 - -5734. Calculate the remainder when 73 is divided by v.
35
Let a be -93 - (5 - 11) - 3. Let z = 99 + a. Calculate the remainder when 77 is divided by z.
5
Suppose 4*r = -4*n + 9*r + 194, -r - 140 = -3*n. Suppose 0 = 5*d + 170 - 165, 5*a - 37 = 2*d. What is the remainder when n is divided by a?
4
Suppose 3*l - 15 = 0, 0 = -y + 2*l - 8 - 4. Let d be (-1842)/(-15) - y*1/10. Let f = d - 116. What is the remainder when 21 is divided by f?
0
Let h(k) = k**2 - 19*k - 5. Suppose 5*l - 117 = 3*b, -4*b - 1 = 2*l - 27. Let z = -10 - -20. What is the remainder when h(l) is divided by z?
7
Let h be 1 + -2 + 0 - -3. Suppose 68 + h = 2*p. Calculate the remainder when 138 is divided by p.
33
Let o = 8 + 3. Suppose -83 = -8*u + 5. Suppose 5*y = q - 35, -6*q - 145 = -u*q - 5*y. Calculate the remainder when q is divided by o.
8
Let y(t) = -110*t - 1611. Calculate the remainder when y(-23) is divided by 181.
14
Let j(z) = 3*z + 2. What is the remainder when 43/3*(3/7 - (-144)/56) is divided by j(5)?
9
Suppose 0 = 5*w - 5*d, w + 2 = 5*w - 2*d. Let c = 79 + w. Suppose 308 = 12*k + c. Calculate the remainder when k is divided by 8.
3
Let n(a) = 3*a + 231. Let r be n(-43). What is the remainder when (3 + r)*1*12/9 is divided by 21?
14
Suppose -25*j + 23*j + 66 = 0. Let s(r) = -r**3 + 31*r**2 + 77*r - 55. What is the remainder when s(j) is divided by 13?
9
Let v(b) = 3*b - 2. Let s(g) = 5*g**2 - 15*g - 283. What is the remainder when s(-7) is divided by v(7)?
10
Let h be (20*1)/(9/(108/3)). Suppose h = p + m, -2*p - 6*m + 160 = -m. Calculate the remainder when p is divided by 28.
24
Suppose -4*h + 995 = -5*t + 11761, 6486 = 3*t + 2*h. Calculate the remainder when t is divided by 719.
1
Let n(m) = -m**3 + 21*m - 100. Let r be n(10). Let h = r - -906. Calculate the remainder when 20 is divided by h.
4
Suppose 3*r + 4*t = 112, -3*r + 34*t - 30*t + 128 = 0. Calculate the remainder when 569 is divided by r.
9
Suppose -3*j + 114 = 7*t - 3*t, -3*j - 84 = -2*t. What is the remainder when 626 is divided by t?
32
Let p = -187 - -284. What is the remainder when 474 is divided by p?
86
Let n(g) = g**3 + 20*g**2 - 37*g - 65. What is the remainder when n(-21) is divided by 66?
7
Suppose -3*p + 5*p - 37 = 5*l, -4*p + 2*l + 34 = 0. What is the remainder when (3/(-2))/((-1)/p) is divided by 4?
1
Let i(n) = -982*n + 42. Let g be i(1). Let y = 1693 + g. What is the remainder when y is divided by 12?
9
Let o(c) = -9*c**2 - 20*c - 427. Let p(n) = -5*n**2 - 11*n - 213. Let w(m) = 6*o(m) - 11*p(m). What is the remainder when w(-26) is divided by 8?
7
Let a(y) = -y**2 + 8*y - 7. Let m be a(6). Suppose 0*q - 37 = -3*x + 2*q, 0 = x - 3*q - 24. What is the remainder when m*15/9*3 is divided by x?
7
Suppose 5*v - 10326 = -4*r, 20*v - 6194 = 17*v - 4*r. What is the remainder when v is divided by 23?
19
Calculate the remainder when 138*(3/27)/((-8)/(-48)) is divided by 19.
16
What is the remainder when ((-488)/12)/(8/(-12)) is divided by 310/5*7/14?
30
Suppose 4*v = -r + 150, r + 45 = -511*v + 512*v. Calculate the remainder when 598 is divided by v.
13
Let u = 352 + -222. Let h(i) = 2*i**2 - 10*i - 4. Suppose l = 6 + 2. What is the remainder when u is divided by h(l)?
42
Let v be (-4 - -1)/((-75)/4325). Let d = v + -97. Calculate the remainder when d is divided by 16.
12
Let t = 72 + 3. What is the remainder when 3672 is divided by t?
72
Suppose -5*a - 31 = -2*l, -14*l = -9*l + 4*a + 5. What is the remainder when 2*738/24*2/l is divided by 16?
9
Suppose -25*l = -45*l + 13860. Calculate the remainder when l is divided by 43.
5
Let i be (-4)/3*(-12)/(-32)*4. Let g be (-2445)/(-90) - i/(-12). Let j = 85 - g. What is the remainder when j is divided by 12?
10
What is the remainder when (-31)/(-124) - 106875/(-20) is divided by 25?
19
Suppose -2*k + 3*c - 275 = -7*k, -4*c = 20. Calculate the remainder when k is divided by 32.
26
Suppose 16*k - 1590 = 266. What is the remainder when 120 is divided by k?
4
Let l(s) = -s**3 - 6*s**2 + 19*s + 46. Calculate the remainder when l(-8) is divided by (-6)/(-8) + ((-147)/(-4))/3.
9
Suppose 40*l - 118 = -38. Let q(h) = -h**3 - h**2 + h + 3. Let a = 15 + -15. What is the remainder when q(a) is divided by l?
1
Let u = 176 - 138. Let m = -14 - -12. What is the remainder when u is divided by 9 + 3 + -2 + m?
6
Let l = 23107 + -9822. Calculate the remainder when l is divided by 309.
307
Suppose -9 = 4*n - 49. Let y(q) = -q**3 - 11*q**2 + 11*q. Let a be y(-6). Let w = a + 281. Calculate the remainder when w is divided by n.
5
Let y be 3*(4/(-2) + 1400/24). Let i = -50 + y. Calculate the remainder when i is divided by 40.
39
Let a be (-17)/2 + (-22)/44. Calculate the remainder when (-172)/(-14) - 12/42 is divided by (-18)/12 + a/(-2) - -5.
4
Let m(w) be the first derivative of 1/2*w**2 + 2*w - 3. What is the remainder when 41 is divided by m(9)?
8
What is the remainder when 6 - (-4628 - (4 + -5)*4) is divided by 24?
22
Let c = 273 + -153. Let k(n) = 15*n - 42. Let f be k(3). Suppose f*g - 14*l = -11*l + 108, 3*l + 15 = 0. Calculate the remainder when c is divided by g.
27
Calculate the remainder when 184 is divided by -9 + (304/(-1976) - (-2303)/13).
16
Suppose 11*t - 2274 = -294. Let d = t - 112. What is the remainder when d is divided by 25?
18
Let z = 4267 + -4266. Suppose 4*y + 0*y - 104 = 0. What is the remainder when y is divided by z?
0
Let d = 7781 + -7741. What is the remainder when 6757 is divided by d?
37
Suppose -r = -5*l - 69, -r + 3*l + 66 = -l. Let x = r - 34. Suppose 2*o - 7 = 5*s, -5*s + 4 = -3*o + 2*o. What is the remainder when x is divided by o?
9
Suppose -3*p + 1710 = -12*i + 14*i, i - 1139 = -2*p. Let s = -385 + p. Calculate the remainder when s is divided by 11.
7
Suppose -27 = 3*i - 180. Suppose 0 = -3*m - m + 12. Suppose 2*c + m*c - 145 = 0. Calculate the remainder when i is divided by c.
22
Suppose -4*a = -5*v - 116, -5*a - 91 + 236 = -5*v. What is the remainder when 1357 is divided by a?
23
Suppose -27 = 6*y - 39. Suppose a = 5*l - y*a - 82, -l - 6 = 5*a. Calculate the remainder when 77 is divided by l.
7
Let f(i) = 11*i - 3. Suppose m - 20*m = 62*m - 9720. What is the remainder when m is divided by f(4)?
38
Let b(d) = 4*d**2 + 7*d + 2. Let g be b(-2). Suppose g*i = -4*k + 640, -14*k + 9*k + 814 = -2*i. Calculate the remainder when k is divided by 28.
22
Suppose -2*n - 8 = 0, 4 = -3*s + n + n. Let w be (s - 8/3)*3. What is the remainder when (-2 + w)/((-2)/4) is divided by 23?
21
Let l(s) = 17*s - 3. Let a be 2/((-1)/(-2) + 3/(-12)). Suppose 0 = -a*j + 4*j + 116. What is the remainder when l(5) is divided by j?
24
Let n(i) = 14*i - 32. Let u(b) = -b**2 - 15*b + 24. Suppose -45 - 3 = 3*q. Calculate the remainder when n(5) is divided by u(q).
6
Let w = 438 - 420. What is the remainder when (-4)/1 - 1467/(-9) is divided by w?
15
Suppose -3*r + 764