3*b + 4*k + 40 = 0. Calculate the remainder when 61 is divided by b.
13
Suppose 15*m = 1730 + 700. Calculate the remainder when 497 is divided by m.
11
Let m(x) = x**2 - 5*x + 3. Let d(f) = -2*f + 34. Let g(q) = 5*q**2 + q - 8. Let z be g(2). Calculate the remainder when m(6) is divided by d(z).
3
What is the remainder when 19 is divided by 15*((-9)/12)/((-18)/16)?
9
Suppose 15*p - 220 = -7*p. Calculate the remainder when 27 is divided by p.
7
Suppose 5*j + 2*q - 125 = -2*q, 3*j - 75 = -2*q. Suppose 15*y - j = 10*y. Calculate the remainder when y is divided by 4.
1
Suppose 3*n - 10 - 4 = m, 0 = 4*m - 16. Let v be (-3 - (2 - n))/1. Calculate the remainder when -5*v*16/(-20) is divided by 4.
0
Let c be (-4)/(-3)*(-18)/4. Let g(j) = 11 + 2*j**2 + 13 + 14 - 35 + 9*j. Calculate the remainder when g(c) is divided by 12.
9
Let b(j) = -3*j + 29. Let x be b(6). Suppose 1 = 3*r - 17. Suppose -x*i = -r*i - 20. Calculate the remainder when 15 is divided by i.
3
Let h(w) = w**2 + 14*w - 11. Let g be 6/(((-12)/15)/2). What is the remainder when 16 is divided by h(g)?
0
Let p(m) = 7*m - 2. Let s(f) = -f**3 + 5*f**2 - 2*f + 5. Let d be s(5). Let k be p(d). Calculate the remainder when k/2*(-6 - -4) is divided by 20.
17
Suppose -3*c = c + 4. What is the remainder when (43 + -2)/(c/(-2)) is divided by 42?
40
Suppose 0 = -14*n + 17*n - 249. What is the remainder when n is divided by 17?
15
Suppose -2*k - 92 = 4*v, 4*v = 3*k - 4 - 68. Let w = -14 - v. Let u(g) = -4*g - 89. Calculate the remainder when w is divided by u(-23).
1
Let k(p) = p**2 - 14*p - 4. What is the remainder when 131 is divided by k(17)?
37
Let a(c) = c**2 + 2*c - 7. Let l be 48/(-8) - (1 + 1). What is the remainder when a(l) is divided by (-2)/((-1)/14*2)?
13
Calculate the remainder when 147 is divided by (-69)/(-2) - (9/2 + -4).
11
Suppose z + 4 = -3*q + 11, 4*q = 3*z + 31. Suppose -q = -4*j - 8. What is the remainder when -47*(j + 0)/1 is divided by 12?
11
Let p(s) be the second derivative of s**5/20 - 3*s**4/2 - 3*s**3 - 17*s**2/2 - 13*s. Calculate the remainder when 4 is divided by p(19).
0
What is the remainder when 1 - (-4 - (-7 + 2) - 118) is divided by 48?
22
Let x = -26 + 56. Let g be ((-6)/4)/(x/(-40)). Suppose -3*y + r = g*r - 29, r = -4*y + 39. Calculate the remainder when 28 is divided by y.
8
Let i = 26 - 68. Let k = 99 + i. What is the remainder when k is divided by 24?
9
Suppose 0 = -14*z + 17*z - 1554. What is the remainder when z is divided by 40?
38
Suppose -d + 35 = 2*z + 4*d, 0 = -2*z - 2*d + 50. Calculate the remainder when 97 is divided by z.
7
Let d(y) = 4*y. Let l be d(1). Suppose l*t = 51 + 17. What is the remainder when t is divided by -2*(-3 + 21/6) - -7?
5
Calculate the remainder when 1982 is divided by (-2 - (-1120)/63) + (-4)/(-18).
14
Let f(y) = 12*y**3 + y**2 - 2*y. Suppose 4*n = 5*n - 1. What is the remainder when 28 is divided by f(n)?
6
Let t = 61 - 58. What is the remainder when 3*(-2 + 1) + 4*2 is divided by t?
2
Let k = 18 + -132. Let j = -74 - k. What is the remainder when 44 is divided by (14/(-35))/((-1)/j)?
12
Let a(d) = d**2 + 7*d. Let k(m) = m**2 + 5*m - 2. Let y be k(-4). Let r be a(y). Let p = 3 - r. Calculate the remainder when 24 is divided by p.
6
Suppose 0 = -2*x + 4*w + 16, 3*x + 4*w - 3 = 1. Let m = 1046 + -1033. Calculate the remainder when m is divided by x.
1
Suppose 3*s + 3*x - 104 = -s, x + 4 = 0. Let l(z) = -z + 11. Let j be l(7). Calculate the remainder when s is divided by (j - -1)*21/35 + 12.
14
Suppose 48*l - 52*l + 16 = 0. What is the remainder when 35 is divided by l?
3
Let d = -5 - -10. Let u = 17 + -10. Calculate the remainder when u is divided by d.
2
What is the remainder when 93 + -2*84/(-24) is divided by 23?
8
Let q(a) = 2*a + 32*a + 7*a**2 + 7 - 2*a**2 - 2*a**2. Calculate the remainder when q(-14) is divided by 12.
11
Suppose -14*h + 20*h - 24 = 0. Suppose -4*f + 396 = -h*x, -4*f - 3*x + 8*x = -397. Calculate the remainder when f is divided by 17.
13
Suppose 2*r - j = -3*r + 426, 0 = -2*r + j + 171. Calculate the remainder when r is divided by (-86)/(-6) - 16/(-24).
10
Suppose -f = -9*f + 224. Calculate the remainder when 20 is divided by (-3)/(-12)*1*f.
6
Let k(z) = -z**2 + 2*z + 4. Let b be k(5). Let i be b/4 - 1/4. Calculate the remainder when 33 is divided by i/(3/(1 + -19)).
15
Suppose 0 = 3*l - 348 - 3. Suppose 5*t = -a + 119, -2*t + 23 + 26 = -a. Calculate the remainder when l is divided by t.
21
Let y(j) = 4*j - 43. Let g be y(10). Calculate the remainder when 460/5 + -3 - (-3)/g is divided by 23.
19
Let p(b) = -b**3 + b**2 + 9*b - 8. Let r be p(4). What is the remainder when 1/((-20)/(-1148)) - (-8)/r is divided by 18?
3
Let w(g) = -11*g - 92. Calculate the remainder when 152 is divided by w(-12).
32
Suppose -16*l + 400 = -12*l + 4*z, -l + 98 = 2*z. Calculate the remainder when l is divided by 60.
42
Let v(p) = p**2 + 2*p + 5. Let k be v(0). Suppose 4*m - 201 = -3*b, 139 = k*m - b - 117. What is the remainder when m is divided by 18?
15
Let x = -328 - -352. What is the remainder when x is divided by 7?
3
Let v = -171 + 209. What is the remainder when 71 is divided by v?
33
Let z(t) = t**2 + 4*t + 9. Let i(o) = 13*o + 1. What is the remainder when z(-9) is divided by i(1)?
12
Let j(c) = -c**3 - c**2 + c - 2. Let n(y) = -y - 1. Let k be n(-1). Let o be j(k). Calculate the remainder when (0 - 0) + (-98)/o is divided by 17.
15
Suppose -3*u - 5*b - 291 = -325, 4*u = 5*b + 92. What is the remainder when 1384 is divided by u?
16
Calculate the remainder when 151 is divided by (1 + -2 - (-4)/(-6))*-12.
11
Let b = -2020 - -2882. Calculate the remainder when b is divided by 36.
34
Suppose 0 = -1241*t + 1267*t - 754. What is the remainder when 202 is divided by t?
28
Let z = -601 - -679. What is the remainder when z is divided by 36?
6
Suppose 3*q - 2*p = 39 + 154, 3*q = -4*p + 217. What is the remainder when q is divided by (2/(-5))/(23/(-2070))?
31
Suppose 5*f - 1014 - 6186 = 5*i, 2*i + 6 = 0. Calculate the remainder when f is divided by 16.
13
Suppose -3*g + 157 = -l, 0*g - 5*l = 5*g - 275. What is the remainder when g is divided by 11?
9
Suppose 414 = 2*r - 5*x, -22*r - 4*x = -18*r - 856. Calculate the remainder when r is divided by 120.
92
Let t = 501 + -488. Calculate the remainder when 661 is divided by t.
11
Suppose -2 = -2*a + 6. Suppose -4*s + 224 = 2*x + 2*x, -244 = -a*s + x. Let v = s - 27. Calculate the remainder when v is divided by 12.
9
Suppose 5*v - 30 - 20 = 0. Let s = 17 + -23. Let d = -3 - s. What is the remainder when v is divided by d?
1
Suppose -p + u + 17 = 0, -51 = -3*p + 2*u + 2*u. What is the remainder when (2 + -10)/((-2)/16) is divided by 6*(-3)/(-36)*p*2?
13
Suppose 3*j = 3*s - 4*s + 102, 63 = 2*j - s. Calculate the remainder when 227 is divided by j.
29
Let g(a) = -a**3 + 4*a. Let p = 284 - 180. Let r = p - 79. Calculate the remainder when r is divided by g(-3).
10
Let t = -1935 + 1970. Calculate the remainder when t is divided by (-82)/(-8) - 2/8.
5
Let g(t) = t**3 - 3*t**2 + 22*t - 92. What is the remainder when 201 is divided by g(4)?
9
Suppose 12 = -2*a - 2*a, -3*b = -5*a - 21. Suppose 4*z = -b*k + 120, 0 = -2*k - 1 - 7. Suppose -5*o = -452 + z. Calculate the remainder when o is divided by 17.
16
Suppose 498*d = 493*d + 860. What is the remainder when d is divided by 83?
6
Let h(v) = 43*v**2 - 2*v - 1. What is the remainder when h(2) is divided by 16?
7
Let l = -259 - -546. Suppose 6*q - 61 = l. Calculate the remainder when q is divided by 30.
28
Let r = -108 - -172. What is the remainder when 191 is divided by r?
63
Let p = -41 - -41. Suppose p = -4*n - 8 - 0, -n - 52 = -2*r. What is the remainder when 97 is divided by r?
22
Let a = -9 + 21. What is the remainder when a is divided by 6?
0
Suppose 22 = j - 2*n - 2*n, 3*j = n + 22. Let w(y) = -y**2 + 6*y + 5. Calculate the remainder when 13 is divided by w(j).
3
Let q = 215 - 186. What is the remainder when 140 is divided by q?
24
Suppose 2*r + 2 = -2*f, 3*r - 3*f + 7 = -8*f. Let t = -11 + 25. What is the remainder when 2*-1 - (-41 - r) is divided by t?
12
Let w(i) = -14*i - 313. What is the remainder when 107 is divided by w(-26)?
5
Suppose 3*o + 3 = 0, 0 = -4*q + o - 6*o + 11. Suppose 2*l = -0*l - 3*u + 9, -q*u + 12 = 3*l. Calculate th