= -5*q + 395. Calculate the remainder when q is divided by 16.
14
Let m = 251 + -51. Suppose -r = 4*r - m. What is the remainder when r is divided by 14?
12
What is the remainder when 19 + (7/2)/(7/12) is divided by 5?
0
Let x(q) = 2*q**2 + 22*q - 70. Calculate the remainder when (-410)/(-6) + 4/(-12) is divided by x(-14).
12
Let r be 6/(2*(-2)/60). Calculate the remainder when 89 is divided by (-1)/(-2 + r/(-46)).
20
Suppose -a + 65 = -6*a. Let r = a - 17. Let g = r - -54. Calculate the remainder when 45 is divided by g.
21
Suppose 4*h = -h - 1930. Let d = h - -680. Suppose -9*s + 6*s = -d. Calculate the remainder when s is divided by 25.
23
Let k(d) be the second derivative of -d**4/24 + 2*d**3 - d**2 + 5*d. Let h(w) be the first derivative of k(w). What is the remainder when 10 is divided by h(9)?
1
Let o(w) = -w**2 - 5*w + 13. Let n be o(-5). Suppose -2*x + 21 = -n. Calculate the remainder when 82 is divided by x.
14
Suppose -2*v = v - 12. Let l(q) = -3*q + 4. Let h be l(-7). Suppose -23 - h = -12*d. What is the remainder when v is divided by d?
0
Let m(h) be the first derivative of -h**3/3 + 19*h**2/2 + 17*h + 25. Calculate the remainder when m(15) is divided by 23.
8
Suppose 11*t + 25 = 16*t. Let f(g) = -g**3 + 6*g**2 + g - 18. Calculate the remainder when 82 is divided by f(t).
10
Let o = 5 - 1. Suppose 2*j + 2*v - 101 = -j, 0 = 4*j - 2*v - 158. Suppose -5 + 0 = 5*w - 4*r, 0 = 4*w + 5*r - j. Calculate the remainder when o is divided by w.
1
Let h(q) = -2*q**2 - 12*q + 5. Let n = -27 + 38. Let w = n + 48. Calculate the remainder when w is divided by h(-5).
14
Let l(d) = 3*d**3 + 2*d**2 - d + 2. Let c be l(-2). Suppose 12 = -o + 3*i - 5, 5*o - 5*i = -115. Let w = c - o. Calculate the remainder when 51 is divided by w.
9
Let q = -19 + 21. Suppose -5*f = 4*y + 2, -2 + 0 = q*f + 2*y. Suppose 5*u = -f*t + 32 - 7, -5*u + 25 = 4*t. Calculate the remainder when u is divided by 3.
2
Suppose -20 = -2*w + 4*n, -2*n + 6*n + 12 = 0. Let j be 2*(-2)/4 + 1. What is the remainder when 8 + j + (1 - 2) is divided by w?
3
Suppose -207 = -y - 188. Calculate the remainder when 73 is divided by y.
16
Let s(j) = 2*j**2 - 12*j - 36. What is the remainder when 279 is divided by s(9)?
9
Suppose 0 = 5*o - 17*n + 21*n - 41, -4*o = -3*n - 39. What is the remainder when 114 is divided by o?
6
Suppose 0 = -2*m - 7 + 1. Let v(a) = -5*a - 1. Let i be v(m). Suppose -5*t + 21 = -i. What is the remainder when 18 is divided by t?
4
Suppose 288 = 5*b - b. Suppose b + 5 = q. Calculate the remainder when q is divided by 40.
37
What is the remainder when ((-580)/(-80))/((-3)/(-24)) is divided by 15?
13
Let n = 21 + -18. Suppose -57 = -n*o - 3*p, 3*p = p - 8. What is the remainder when o is divided by (-5)/(-1)*8/5?
7
Let v(z) = 41*z - 13. Calculate the remainder when v(1) is divided by 15.
13
What is the remainder when (399/28)/((-27)/(-36)) is divided by 13?
6
Suppose -13*s + 10*s = 18. Suppose -5*o - 19 = -114. Calculate the remainder when o is divided by (s/5)/((-18)/90).
1
Suppose 4*l - 5 = 107. Let y(f) = 2*f**2 + 5*f + 13. Suppose 2 = m + m, -5*o - 27 = 3*m. What is the remainder when y(o) is divided by l?
27
Suppose j - 16*j = -60. Calculate the remainder when 71 is divided by j.
3
Let m = 992 - 965. Calculate the remainder when 403 is divided by m.
25
Calculate the remainder when ((-23463)/18)/(-11)*2/3 is divided by 40.
39
Let g(m) = 7*m**3 - m**2 - 5*m + 15. What is the remainder when 57 is divided by g(2)?
0
Let k(x) be the first derivative of x**2 + x - 5. Let s be k(3). Let m(v) = 5*v - 9. Calculate the remainder when m(s) is divided by 9.
8
Let q(d) = 2*d**3 - 18*d**2 - 16*d + 13. What is the remainder when 105 is divided by q(10)?
52
Let d(x) = -3*x - 11. Let z(s) = 4*s - 2. Let o be z(-2). What is the remainder when 55 is divided by d(o)?
17
Let d(x) = 67*x**2 + x + 2. Suppose 11 = l - 0*i + 3*i, 4 = i. Calculate the remainder when d(l) is divided by 18.
14
Let l(c) = c + 12. Let q be l(-3). Suppose -4*j = 1 - q. What is the remainder when 2 is divided by j?
0
Suppose 3*g - 16 - 50 = 0. Suppose -2*i - 78 = -344. Let l = -69 + i. Calculate the remainder when l is divided by g.
20
Let r = -202 + 328. What is the remainder when r is divided by 32?
30
Let g(d) = 3*d + 5. Let w be g(-4). Let n = 10 + w. What is the remainder when 4 is divided by n?
1
Let z = 39 - 33. Calculate the remainder when 19 is divided by z.
1
Let u(n) = -6*n + 93. What is the remainder when 39 is divided by u(12)?
18
Suppose 105 = -0*f + 3*f. What is the remainder when f is divided by (-84)/(-9) - ((-56)/21 + 3)?
8
Let i be 8/3*(-9)/(-6). Calculate the remainder when 28 is divided by i/(-18) - 370/(-45).
4
Suppose -2*b + b = 5*o, 2*b - 27 = -o. Suppose 3979 = 4*v + r, -5*v + 3*r + 3983 = -v. What is the remainder when v/b - (-1)/(-3) is divided by 17?
15
Suppose 3*l = -w + 4*w - 42, -52 = -2*w - 4*l. Suppose 19*t - 30 = w*t. Calculate the remainder when 88 is divided by t.
28
Suppose 0*x = 4*x - 296. Let d = -5882 + 5907. What is the remainder when x is divided by d?
24
Suppose h - 6*h + 170 = 4*w, -3*h + 84 = 2*w. What is the remainder when 213 is divided by w?
33
Let z(v) = v**2 - 4*v. Let l be z(0). Suppose 10*d - 304 - 6 = l. Calculate the remainder when 59 is divided by d.
28
Let a = -21645 - -21646. Suppose 0 = -4*m + 9 + 3. Calculate the remainder when m is divided by a.
0
Suppose -2*p = 5*g - 477 + 63, -p = -3*g - 207. Suppose -10*t + p + 133 = 0. What is the remainder when t is divided by 12?
10
Let y(h) = -h**3 + 37*h**2 - 186*h + 10. What is the remainder when 106 is divided by y(31)?
6
Suppose 3*d - 43 - 2 = 0. Suppose -2*t = 5*j - 22, 3*j - t = -4*t + d. Suppose 0*n + j = n. What is the remainder when 14 is divided by n?
2
Suppose -3*y - 3*f + 9 + 9 = 0, -3*f = -3. Calculate the remainder when 22 is divided by y.
2
Let k = 1603 - 1378. What is the remainder when k is divided by 5?
0
Let p be 2 + 4 + -1 + -3. What is the remainder when 67 is divided by p/(2/34*2)?
16
Let w = 0 + 14. Let b be (-4)/(-14) + 10/w. What is the remainder when 10 is divided by 3/(3 + -3 + b)?
1
Let f(h) = 34*h**2 + 6. What is the remainder when f(2) is divided by 40?
22
Let u(n) = 4*n + 6. Let q be u(-11). What is the remainder when (17 - 16)/((-2)/q) is divided by 4?
3
Suppose -47*l + 52*l = 20. Suppose c - l*c + 111 = 0. Calculate the remainder when 70 is divided by c.
33
Let w(b) = -7*b + 71. Let y be ((-5)/15)/((-2)/18). What is the remainder when w(-5) is divided by (-2)/(-3)*y + 25?
25
Calculate the remainder when 48 is divided by (-24)/4*(-1 - (0 - -2)).
12
Let r = -1770 + 1827. Calculate the remainder when 225 is divided by r.
54
Let d be (-3)/5 + (-412)/(-20). Suppose 18 = 4*a - 6. Calculate the remainder when d - (2 - (-8)/(-2)) is divided by a.
4
Calculate the remainder when 121 is divided by (-11)/(-2 - 10*(-5)/30).
22
Let i = 19 - -4. Suppose 2*y - 5 = -5*z, 4*y - 5*z - 113 = -28. What is the remainder when i is divided by y?
8
Let f(i) = -2*i**3 - 12*i**2 - 13*i - 41. Calculate the remainder when f(-8) is divided by 14.
11
Let a(u) = u**3 + u**2 + 11. Let k = -60 - -93. Let n = 75 - k. Calculate the remainder when n is divided by a(0).
9
Let g(d) = 19*d + 3. Let j be g(3). Suppose 2*f = -3*f + 3*r + 76, 5*r = -3*f + 32. Let x = f + j. Calculate the remainder when x is divided by 19.
17
Suppose 67 = -2*k + 5*l + 212, -5*k + 440 = 3*l. Calculate the remainder when 339 is divided by k.
84
Suppose 0 = 5*n - 10, 0 = q + 5*n - 24 - 3. Let t = 19 - q. What is the remainder when t/(-7) - 163/(-7) is divided by 8?
7
Let j = 73 - 144. Let y = j + 93. What is the remainder when 173 is divided by y?
19
Suppose c - 2 = 0, -939 = -5*o + 6*c - 3*c. Calculate the remainder when o is divided by 87.
15
Let z = 21 - 4. Suppose -14*k = -z*k + 207. Calculate the remainder when k is divided by 18.
15
Let m(b) = 3*b**2 + b - 4. Suppose -158*c + 161*c - 6 = -j, 2*j = 5*c - 21. What is the remainder when m(4) is divided by c?
0
Let w(o) = o**3 + 8*o**2 + 8*o - 14. Let g be w(-6). Suppose 151 = g*q - 39. Calculate the remainder when q is divided by 10/3 - (-2)/3.
3
Let a(t) = t**3 - 3*t**2 + 5*t - 6. Let j be a(4). Suppose 29*i = j*i - 26. What is the remainder when i is divided by 10?
6
Suppose 6*r - r = 25. S