- 56 = -10*b. Calculate the remainder when q(-4) is divided by b.
6
Let g = 146 + -82. What is the remainder when g is divided by 13?
12
Let k(g) = -g**3 - g**2 + 1. What is the remainder when 35 is divided by k(-3)?
16
Suppose 69 = 4*r + 5. Let b = r - -4. What is the remainder when 26 is divided by ((-72)/b)/(4/(-10))?
8
Let r(z) be the third derivative of -z**4/8 + 3*z**3/2 - 3*z**2. What is the remainder when r(-7) is divided by 11?
8
Let k be (-3 - (-5)/1) + -5. Let v = k + 14. What is the remainder when 42 is divided by v?
9
Let a(t) = -t**2 + 7*t - 1. Let b(w) = -11*w**2 - 2*w - 1. Let v be b(-1). What is the remainder when a(6) is divided by (4/v)/((-2)/10)?
1
Let n = 110 + -45. What is the remainder when n is divided by 17?
14
Suppose -5*t + 2*t = -12. Suppose 0 = 4*n - t, -3*p - p + 4*n = -4. Calculate the remainder when 7 is divided by p.
1
Let c be 20/6 - 3/9. Suppose -2*p - 5*g = -66, -c*p - 5 = 3*g - 95. Calculate the remainder when p is divided by 10.
8
Let v = -43 + 60. Calculate the remainder when v is divided by 10.
7
Let q = -605 - -1163. Calculate the remainder when q is divided by 70.
68
Suppose 2*c - 5*j + 3 = -2*c, -5*j - 3 = -c. What is the remainder when c/(-6) + 584/12 is divided by 13?
10
Suppose -n - 5*k = n, -3*n + 5*k = 0. Suppose p = 2*p - 2. Suppose n = -p*f + f + 9. What is the remainder when f is divided by 5?
4
Suppose 0 = 2*f - 9*f + 56. What is the remainder when f is divided by 3?
2
Suppose -5*x = 264 - 49. Let j = x + 93. Calculate the remainder when j is divided by 17.
16
Suppose -123 + 36 = -3*k. Let a be 2/((-3)/(30/(-4))). Let j = a + k. What is the remainder when j is divided by 12?
10
Let s = -8 - -22. Calculate the remainder when 27 is divided by s.
13
Suppose -5*s + 16 = 2*o, 0 = 5*o - s - 32 - 8. Calculate the remainder when (-31)/(2 - (2 + 1)) is divided by o.
7
Suppose -u - u + 5*v = -26, 0 = 5*u - 3*v - 46. Calculate the remainder when 26 is divided by u.
2
Suppose -5*g + 154 + 6 = 0. Suppose 0 = d + 10 - 54. Suppose 0 = -3*y - y + d. What is the remainder when g is divided by y?
10
Let o(l) = -6*l - 10. Calculate the remainder when 54 is divided by o(-4).
12
Let b = 319 - 218. Suppose g = -b + 24. Let h = -38 - g. Calculate the remainder when h is divided by 20.
19
Suppose -5*k = -25*k + 340. What is the remainder when 66 is divided by k?
15
Let r be (0 - (1 + 4))/(-1). Suppose r*z - 9 = 141. Calculate the remainder when 57 is divided by z.
27
Let t(w) = -5*w - 7. Let p(c) = c**2 + 3*c + 6. Calculate the remainder when t(-5) is divided by p(-4).
8
Suppose 40 = 5*h - 15. What is the remainder when h is divided by 6?
5
Let c = 8 - -119. Calculate the remainder when c is divided by 26.
23
Let h = -18 - -25. Calculate the remainder when 25 is divided by h.
4
Let o = 135 - 122. Calculate the remainder when 36 is divided by o.
10
Let a be (-36)/(-16) + 6/8. Suppose -17 = -i + 5*s, 19 = i - 0*s - a*s. What is the remainder when 107 is divided by i?
19
Let u be 14 + -12 - (-3)/1. Suppose u*m - 63 - 22 = 0. What is the remainder when m is divided by 6?
5
Suppose -2*h - 3*h + 25 = 0. Let n(q) = q**2 - 3*q. Let p be n(4). Suppose 2*y + 14 = 4*d, -h*y = d - p*d + 21. Calculate the remainder when 5 is divided by d.
1
Suppose -5*v = -15 - 10. Suppose v*l - 2 - 33 = 0. Suppose -2*y + 5*r + 34 = 0, -2*y - r - 3*r = -16. What is the remainder when y is divided by l?
5
Calculate the remainder when 90 is divided by ((-6)/8)/((12/128)/(-3)).
18
What is the remainder when (12/7)/((-8)/(-84)) is divided by 4?
2
Let c be 4/(-8) + (-7)/(-2). Calculate the remainder when (-1 - -2) + (29 - c) is divided by 10.
7
Suppose -p + 2*n = -n - 15, -4*p = 3*n - 15. Let w = 3 + p. What is the remainder when 41 is divided by w?
5
Let n(f) = -f**2 + 10*f. Calculate the remainder when -10*-9*1/2 is divided by n(8).
13
Suppose -3*o + 9 = -b - 0*o, -16 = -4*o. Calculate the remainder when 3 is divided by b.
0
Let b(x) = -x**2 - 9*x + 8. Let w be b(-8). Let s = 27 - w. What is the remainder when 19 is divided by s?
8
Suppose -2*m - 201 = -4*z + 21, 0 = z - m - 56. What is the remainder when z is divided by 16?
7
Let s = 42 + -19. Let o(j) = -j**3 + j**2. Let q be o(-1). Suppose q*a + 2*b = 30, -6*a - 3*b + 69 = -a. Calculate the remainder when s is divided by a.
11
Let t = -14 + 16. Suppose 2*s = -t*o - o + 258, -o + 3*s + 97 = 0. Calculate the remainder when o is divided by 15.
13
Let z(a) = 20*a**3 + a. Let h = -12 + 13. What is the remainder when z(h) is divided by 8?
5
Let h(v) = 2*v + 7. What is the remainder when 25 is divided by h(0)?
4
Suppose 5*f - 10 = 0, -3*f = 5*u - 25 + 4. Suppose u*b + 2*b + 25 = 0. Let x = b - -8. Calculate the remainder when 4 is divided by x.
1
Suppose z = 3*z. Suppose -5*h - 5*q + 0*q + 40 = 0, 5*h - 3*q = z. What is the remainder when 1/2 - 15/(-2) is divided by h?
2
Let s = 6 - 4. Let p(m) = 46 - s*m**2 - 18 + m**2. What is the remainder when p(0) is divided by 15?
13
What is the remainder when 59 is divided by (-7)/((-105)/144) + 10/25?
9
Suppose 48 = 3*t - 3*n, -3*t + 5*n - 4 = -50. What is the remainder when 64 is divided by t?
13
Suppose -5*t + 7 = -8. Suppose 0*u = t*u - 102. What is the remainder when u is divided by ((-18)/5)/(1/(-5))?
16
Let d(i) = -i**3 - 12*i**2 - 23*i - 25. Let w(h) = 4*h - 4. What is the remainder when w(4) is divided by d(-10)?
2
Let s(c) = 6*c + 3. Let j(l) = 7*l + 3. Let y(k) = 3*j(k) - 4*s(k). What is the remainder when 47 is divided by y(-9)?
23
Suppose -2*d - 3*p + 100 = 0, -41 = 5*d - 6*d + 3*p. What is the remainder when d is divided by 6?
5
Let r(a) = -26*a - 4. Let n be r(7). Calculate the remainder when 25 is divided by n/(-14) - 12/42.
12
Let q = 45 + -29. Let v = -11 + q. Suppose v - 27 = -2*p. Calculate the remainder when 43 is divided by p.
10
Calculate the remainder when 69 is divided by ((-74)/(-4))/((-12)/(-24)).
32
Let p be 10/(-4)*54/(-15). Let m = 12 - p. Suppose 7 + 8 = m*v. What is the remainder when v is divided by 4?
1
Calculate the remainder when 53 is divided by (124/(-12) - -3)/((-6)/9).
9
Suppose 4*g - 4*b - 418 = b, -2*g + b = -206. Suppose 4*u - g = u. What is the remainder when u is divided by 12?
10
Let n be (-3*9)/(8 - 7). Let q = -19 - n. What is the remainder when 38 is divided by q?
6
Let u = 28 - 9. What is the remainder when 55 is divided by u?
17
Let d = 4 + -4. Suppose d = 4*s + 4*q - 17 + 1, 2*s - 9 = -3*q. What is the remainder when 8 is divided by s?
2
Let q = 92 - 52. Suppose 3 = 4*g - 2*w + 55, w = -4*g - q. Calculate the remainder when 14 is divided by (g - -5)/((-6)/8).
6
Suppose -2*r - 5*l = -0*r - 14, -l = -r + 14. Suppose 5*p - 2*v + 3*v = 165, 0 = -5*p - 3*v + 165. Calculate the remainder when p is divided by r.
9
Let r = 1 + -6. What is the remainder when 9 is divided by 8/20 + (-13)/r?
0
Suppose 25*b - 21*b - 52 = 0. What is the remainder when 34 is divided by b?
8
Let j be 9/3 - 24/(-2). Suppose 3*z + j = 42. What is the remainder when z is divided by 5?
4
Let i(z) = 22*z - 1. Let x(r) be the third derivative of -r**4/24 - r**3/3 + r**2. Let n be x(-3). Calculate the remainder when 61 is divided by i(n).
19
Suppose -9*a + 118 = -89. Calculate the remainder when a is divided by 8.
7
Suppose 4 = 2*i - 0, 4*d - i = -6. Let y be (d + 9)*15/12. Suppose 4*c - 58 = 4*l + y, -3*l = 6. Calculate the remainder when 28 is divided by c.
13
Suppose 0 = 5*b - 25, 2*b = -3*t + t + 54. Calculate the remainder when 197 is divided by t.
21
Let q(m) = 2 - 5*m - 6 - 3 - 5*m. Calculate the remainder when 48 is divided by q(-2).
9
Suppose 0 = 2*f + 4*q - 64, 4*f + 3*q = 95 + 58. Calculate the remainder when f is divided by 27.
15
Let b(m) be the second derivative of m**4/6 + m**3/2 + 4*m. Let w(a) = 2*a + 2. Let f be w(-3). Calculate the remainder when b(f) is divided by 7.
6
Suppose -4*u = 5*q - 144, 4*u + 2 - 6 = 0. Calculate the remainder when q is divided by 10.
8
Let q(c) = c**2 - 11*c - 16. Suppose 0 = 3*y - 5*y + 100. What is the remainder when y is divided by q(14)?
24
Suppose -3 + 6 = -4*t - d, 3*t + 4*d = 1. Let u(q) = -4*q - 1. What is the remainder when u(t) is divided by 2?
1
Let l(x) = x**3 + 19*x**2 + 22. What is the remainder when 2/(-10) - 216/(-5) is divided by l(-19)?
21
Suppose 5*r = -5*y + 250, 0*r + 2*r = -5*y