b = -b + 70. What is the remainder when f is divided by b?
6
Suppose o + d = 2*d - 5, -5*d + 21 = -o. Let v be 2 + -26*o/(-2). What is the remainder when 19 is divided by (2 + (2 - 5))*v?
8
Suppose -2*y + 0*y + 22 = 0. What is the remainder when ((-4)/(-16)*-2)/((-1)/60) is divided by y?
8
Suppose f - 45 = 6*f. Let s(p) = p**2 + 6*p - 13. Let m(r) = -r**3 - 3*r**2 - r - 1. Calculate the remainder when m(-5) is divided by s(f).
12
Suppose 5*o - 451 = -3*f + 2*f, -4*o + 3*f = -357. Suppose 45 + o = -5*g. Calculate the remainder when ((-738)/g)/((-2)/(-3)) is divided by 14.
13
Let c = 490 - 462. Calculate the remainder when 326 is divided by c.
18
Suppose -20 = -4*g, 0 = 4*s - 3*g - 89 - 56. What is the remainder when 65 is divided by s?
25
Let z(j) = 21*j - 52. Let d = -57 - -63. What is the remainder when z(d) is divided by 13?
9
Let n = -138 + 278. Calculate the remainder when n is divided by 29.
24
Let u(c) = 4*c**2 + 5*c - 45. Let d be u(6). Let n = -102 + d. Calculate the remainder when 76 is divided by n.
22
Let h(q) be the third derivative of -q**4/3 - 4*q**3/3 - 14*q**2. Calculate the remainder when 23 is divided by h(-2).
7
Calculate the remainder when 145 is divided by (-16)/(-72) - (2144/(-18))/4.
25
Let d = -281 + 598. Let k = d + -187. Let f = k + -89. Calculate the remainder when f is divided by 14.
13
What is the remainder when (-4)/(-10) - (-612)/20 is divided by -28*6/(-8) - 5?
15
Suppose 2*u + 0 = 2. Let x(i) = -2*i + 1. Let l be x(u). Calculate the remainder when 70/7 - 3/l is divided by 8.
5
Let g(v) = 2*v - 34. Let b be g(16). Let r(q) = -15*q**3 - q**2 - 4*q - 3. What is the remainder when r(b) is divided by 31?
28
Suppose 78 = 3*i - 3*q - 3, 2*q = -i + 21. Suppose 0 = -5*h - 2*f + 496, -2*f + 256 = 3*h - 44. What is the remainder when h is divided by i?
23
Suppose 17*i - 2188 = -284. Calculate the remainder when i is divided by 29.
25
Suppose -5*s - 3*c + 104 = 0, -3*c - 62 - 32 = -4*s. Suppose 0 = -s*p + 21*p + 16. What is the remainder when 46 is divided by p?
14
Suppose o + 2*o = 18. Suppose -p = -o*p. Suppose -x = -1, p = r - 0*x - 4*x - 40. Calculate the remainder when r is divided by 16.
12
Suppose -11*o - 262 = -768. Calculate the remainder when o is divided by 10.
6
Suppose g - 76 = -3*g. Suppose 18 = 7*v - 52. Calculate the remainder when (g/(-4))/((-1)/8) is divided by v.
8
Let l(i) = i**2 - i + 118. Calculate the remainder when l(0) is divided by 18/(-10)*680/(-51).
22
Suppose -5*x + 11 = 1. Let v(w) = w**2 - 2*w + 1. Let b(g) = -g. Calculate the remainder when b(-2) is divided by v(x).
0
Let c = 13 + -10. Suppose -3 = -s + 3*f - 2*f, 3*f = -3*s + 3. Suppose 3 = s*d + c*n, -n - 4*n = 5. What is the remainder when 7 is divided by d?
1
Suppose 230 + 10 = 6*r. What is the remainder when r is divided by 7?
5
Suppose -4*c + 2*i + 32 = 0, 4*c = -0*c + i + 36. Let r(o) = 5*o + 9. Let p = 45 - 43. What is the remainder when r(p) is divided by c?
9
Let x = 32 - 23. Suppose 0 = -x*q + 11*q - 34. What is the remainder when 48 is divided by q?
14
Let x(f) be the second derivative of f**3/2 + 6*f**2 + 5*f. Let k(y) = y + 4. What is the remainder when x(9) is divided by k(10)?
11
Let m be 6/30 - 603/15. Suppose -2*h = 2*v - 12, 2*v - 2*h = -4 - 4. Calculate the remainder when m/(-16)*12/10 is divided by v.
0
Suppose -22*f = 17*f - 2964. What is the remainder when f is divided by 33?
10
Suppose 161 = -5*n + 3*k, -4*k + 176 = -5*n + 18. Let t = 25 + n. What is the remainder when 41 is divided by (-9)/6*84/t?
13
Suppose 15*u + 0 - 1035 = 0. What is the remainder when u is divided by 24?
21
Let l(y) = -y**3 - 5*y**2 - 5*y + 2. Calculate the remainder when l(-5) is divided by 14.
13
Let y be 7/(21/6) - -2. Suppose -p - 21 = -y*p. Calculate the remainder when 27 is divided by p.
6
Let a = 0 + -3. Let n = a + 6. Suppose t = -n*x + 14, 0*x = 5*t + 2*x - 96. What is the remainder when 79 is divided by t?
19
Suppose o = -m + 27, -3*m + 42 + 37 = 4*o. What is the remainder when 374 is divided by m?
26
Let n(c) = c**3 + 14*c**2 + 34. What is the remainder when n(-14) is divided by 9?
7
Suppose 13*i = 16*i - 192. What is the remainder when i is divided by 17?
13
Let n = -2 + 5. Suppose 0*l = -n*l. Let p = l + 1. What is the remainder when 2 is divided by p?
0
Let r(s) = -s**3 - 5*s**2 - 3*s + 4. Let h be r(-4). Suppose 6*i + h*i - 132 = 0. What is the remainder when 63 is divided by i?
19
Let x(m) = 2*m**2 + 6*m - 4. Let j be x(-4). Suppose 4*c + 0*c + j = 0. Let k = c + 19. Calculate the remainder when 32 is divided by k.
14
Suppose -12 = -3*p, -2*z - 2*z = 2*p - 24. Suppose -122 = -z*v + 2*n, -3*n - 20 = -v + n. What is the remainder when v is divided by 16?
0
Let z = 6 - -15. Suppose 0*o = -o + 64. Let d = -23 + o. Calculate the remainder when d is divided by z.
20
Let b = -2 - -4. Suppose b*f = -0 - 4. Calculate the remainder when f/(-5) - (-558)/30 is divided by 7.
5
Let c be ((-3)/4 - 14/(-8))*3. What is the remainder when 94 is divided by (4*(-4)/c)/(10/(-60))?
30
Suppose 18 = 3*q - 3*s - 3, 5*q - s = 19. Calculate the remainder when 176 is divided by q.
2
Let x be 5/(25/(-15)) + (-10 - 1). Let u = x + 22. What is the remainder when 19 is divided by u?
3
Suppose 0 = 5*h + 5*n - 25, -4*h + 3*n = -2*n + 25. Suppose j - 42 + 38 = h. Let f = 13 - 8. Calculate the remainder when f is divided by j.
1
Let s(p) = 6*p + 5. Let l(r) = 2*r - 13 + 4*r - 2*r + 2. Calculate the remainder when s(6) is divided by l(8).
20
What is the remainder when 337 is divided by -10*(-6)/(21/7)?
17
Let o be ((-8)/(-6))/((-4)/(-9)). Suppose o = -3*a + 90. Calculate the remainder when a is divided by 11.
7
Let a = -28 - -30. Suppose -a*o + 158 = 5*m - 5*o, -4*m + o = -132. What is the remainder when 98 is divided by m?
30
Suppose 4*a - 25 = -a. Suppose -a*s = -6 - 49. Suppose g + 38 = 70. Calculate the remainder when g is divided by s.
10
Suppose -11*t - 80 = -12*t. Calculate the remainder when t is divided by 22.
14
Let q be 345/(-25) - 3/15. Let o = -6 - q. Calculate the remainder when 13 is divided by o.
5
Suppose 4*p - 20 = 4*n, n = 5*p - 29 + 8. Suppose p*q + u = 48, -4*u = q + q - 24. Calculate the remainder when (30/(-50) + 84/(-10))*-5 is divided by q.
9
Suppose -5*g + 0*g + 42 = 2*n, -2 = -g. Suppose w + 4*o = 8*o + n, -2*w - 3*o = -10. Calculate the remainder when w is divided by 7.
1
Suppose -4*t - 3*m + 135 = 0, 2*t + 6*m = 5*m + 67. What is the remainder when t is divided by 17?
16
Let d(w) = 4*w + 54. Let n be d(-16). What is the remainder when 89 is divided by 0 + (-6)/10 - 186/n?
17
Let k(d) = -d**3 + 14*d**2 + 18*d - 17. Let h be k(15). What is the remainder when 75 is divided by h/(-126) - (-173)/9?
18
Suppose n - 4*n + 120 = 0. What is the remainder when n is divided by 6/(-10) - ((-256)/10 + 4)?
19
What is the remainder when 40 is divided by ((-4)/3)/((-28)/231)?
7
Let w = 130 + -126. Suppose w*r = 258 - 134. What is the remainder when r is divided by 16?
15
Let w(l) = -l**3 + 5*l**2 + l - 4. Let j be 1/((-21)/36)*(-49)/14. What is the remainder when (2/j)/((6/279)/2) is divided by w(3)?
14
What is the remainder when (-4698)/90*30/(-9) is divided by 15?
9
Suppose -6*t + g = -t - 169, g = t - 37. Suppose 2*l + 2*q - 18 = 0, 5*l - 7 = 3*q + 6. Calculate the remainder when t is divided by l.
3
Let k(o) = 2*o**2 + 2*o - 8. Let p be k(2). Suppose p*i - g - 121 = 0, g = -3*i - 0*g + 96. What is the remainder when 3/(6/4)*61 is divided by i?
29
Suppose 1663 = 7*g + 25. What is the remainder when g is divided by 75?
9
Let f = -557 - -931. Suppose -3*p - b - 2*b + 276 = 0, 4*p = -b + f. Calculate the remainder when p is divided by ((-3)/(-4) - 0) + (-500)/(-16).
30
Let k be (-5)/(-2) + (-515)/(-10). Calculate the remainder when (k/12)/(2/4) is divided by 3.
0
Suppose 2*v + 95 = 5*o - v, 0 = 5*v. Suppose 2*g = 3*q - 8, -q + 4*g = -4 - 2. Suppose -q*w = 2*w - 20. What is the remainder when o is divided by w?
4
Let u = 135 - 90. Suppose -5*l + u = -4*l. Calculate the remainder when 222 is divided by l.
42
Let c = -4 - -2. Let y(i) = 5*i**2 + 3*i + 1. Calculate the remainder when 2/(8/(-76))*-3 is divided by y(c).
12
Suppose 3*q - 3*a - 234 = 0, 0 = 2*q + q - a - 226. Let u = q - 45. What is the remainder when u is divided by 6?
5
Let b = 328 + -108.