c = 30 + -13. Calculate the remainder when c is divided by a.
5
Let i(m) = 2*m**2 - 3*m - 10. Let p = -2 - -101. What is the remainder when p is divided by i(5)?
24
Let y = -6 - -15. Let z(p) = -2*p**3 + p**2 - 1. Let o be z(-1). What is the remainder when 0 + (3 - -20) + o is divided by y?
7
Suppose 12*w - 40*w + 476 = 0. Calculate the remainder when 100 is divided by w.
15
Let n(f) = 5*f**3 - f**2 - 5*f + 8. Let b be n(4). Let o = -203 + b. Calculate the remainder when o is divided by 15.
14
Suppose -2*x + 432 = 3*w, -2*w = -6*w + 2*x + 590. Calculate the remainder when w is divided by 41.
23
Suppose 4*b - 30 = b. Let r(u) = 2*u + 26. Calculate the remainder when b is divided by r(-10).
4
What is the remainder when 52 is divided by 5 + 0/4 - (-20)/5?
7
Let a(p) = 2*p**3 - 3*p**2 + 2. What is the remainder when 18 is divided by a(2)?
0
Let y(w) = w**2 + 2*w + 5. Let z(u) = 2*u + 10. Let o be z(-5). What is the remainder when 26 is divided by y(o)?
1
Let p = -36 - -46. What is the remainder when 55 is divided by (-4 + p)*(-24)/(-9)?
7
Suppose 4*i = 3*i - 1074. Calculate the remainder when 12/42 - i/14 is divided by 20.
17
Let k(w) = -w**2 - 5*w + 2. Let t be -1*5 - 0/5. Let n be k(t). Suppose 117 = 5*i - n*i. What is the remainder when i is divided by 10?
9
Suppose -5*j - 3*i - 86 = 0, 0 = -4*j - 3*i - 0*i - 70. Let q = -12 - j. What is the remainder when 15 is divided by q?
3
Suppose 5*g - 210 = 2*x, 5*x - x = 2*g - 68. Let o(z) = -z**3 + 8*z**2 - 12*z + 44. Calculate the remainder when g is divided by o(7).
8
Let p = -173 + 181. Let o = 5 - 1. Suppose p = -2*b, o*b = -n - 2*n + 5. What is the remainder when 25 is divided by n?
4
Suppose 42 = 23*z - 22*z. Suppose -2*f = -z - 40. Calculate the remainder when f is divided by 22.
19
Let f(u) = -u**2 + 25*u - 103. Calculate the remainder when 283 is divided by f(19).
8
Let r = -9 + 18. Let g(s) = 13 - s - 11 + 13. What is the remainder when 16 is divided by g(r)?
4
Let q = -39 + 40. Calculate the remainder when 57 is divided by (-40)/(-2) - (1 + -2 + q).
17
Calculate the remainder when ((-12177)/615)/((-6)/40) is divided by 25.
7
Suppose 582 = 2*i + v, -3*v = 2*i - 7*v - 592. Let q = -182 + i. Calculate the remainder when q is divided by 37.
36
Let h = -5 + 10. Suppose 0 = -3*p + h*y + 2, y - 6*y = -2*p + 8. What is the remainder when (22/p)/(1/(-9)) is divided by 9?
6
Suppose 3*i + 2*i + 39 = k, k + 3*i + 1 = 0. Suppose 3*b - b - k = 0. Let t = -26 + 45. Calculate the remainder when t is divided by b.
5
Suppose 0 = -5*y - 5*c - 15, -3*c + 2*c - 5 = 3*y. Let q = 15 - y. Calculate the remainder when q is divided by 3.
1
Let w be 25/(-15)*3 + 2. Let z(b) = -14*b - 8. Calculate the remainder when z(w) is divided by 7.
6
Let u = -28 - -30. Suppose -c + 27 = -u*w, 0 = 3*w - 0 - 12. Calculate the remainder when c is divided by 12.
11
Let f = 67 - 7. Suppose -f - 118 = -2*z. What is the remainder when z is divided by 5?
4
Let j(q) be the second derivative of -2*q**3/3 + 7*q**2 + 4*q - 1. What is the remainder when -2*(-1)/(-3)*-24 is divided by j(2)?
4
Let g(t) = 6*t + 51. Calculate the remainder when 75 is divided by g(-7).
3
Let a = -385 - -439. Calculate the remainder when a is divided by 24.
6
Suppose -d = z - 2*z + 77, -3*z - 5*d = -223. Suppose -r = -0*r - 21. Calculate the remainder when z is divided by r.
13
Suppose -11*w + 6 = -8*w. Suppose -2*z - q - 9 = -4*z, -w*q - 12 = -2*z. Calculate the remainder when 8 is divided by z.
2
Suppose -10*a - 12 = -62. Suppose a*h = 4*d + 108, 5*d - 135 = -2*h - 3*h. What is the remainder when 47 is divided by h?
23
Suppose -2*c + 2*s = -44, 6*c + s - 110 = c. What is the remainder when 109 is divided by c?
21
Let i(m) = -m**2 + 7*m + 75. What is the remainder when 24 is divided by i(12)?
9
Let y = -63 + 62. Let n = 32 - 18. Calculate the remainder when (-20 - 7)*y/1 is divided by n.
13
Let m = 78 - -6. Suppose -4*t + m + 104 = 0. Let y(k) = -6*k**2 - 45*k - 4. What is the remainder when t is divided by y(-7)?
13
Let m(k) = -12*k + 53. Suppose -79*n = -85*n. Suppose 45 = 3*p + 3. Calculate the remainder when m(n) is divided by p.
11
Let r be 4/(4*1/(-2))*-1. Calculate the remainder when -2*r/4*(-126 + 1) is divided by 18.
17
Let o be 3 + (-2)/6*-87. Suppose o = 4*q - y + 3*y, -4*q + 24 = 4*y. Calculate the remainder when 38 is divided by q.
8
Let n be (11 - 2)*(-7)/(-3). Suppose i = n + 75. Suppose -6*x + i = -0*x. What is the remainder when 63 is divided by x?
15
Let u(r) = 3*r - 4*r**2 + 5*r**2 + 4 + 2*r**2. Calculate the remainder when 3/(-2)*(-114)/9 is divided by u(-2).
9
Let g = 57 + -29. Let v = g - 16. What is the remainder when 33 is divided by v?
9
Let h(w) = -w**2 - 20*w - 80. Calculate the remainder when 255 is divided by h(-12).
15
Let b = 36 - -41. Calculate the remainder when b is divided by 42.
35
What is the remainder when 719 is divided by 3 + -9 + (-32 - -44)?
5
Suppose -5*v + 7*k = 4*k - 216, -3*k + 54 = v. What is the remainder when v is divided by (-1 + 4/2)*23?
22
What is the remainder when 175 is divided by (2808/(-9))/(-6) + 6?
1
What is the remainder when (6/12)/((-2)/2392)*-1 is divided by 75?
73
Suppose -4 = -12*j + 10*j. Suppose 12 = -4*g + j*g. Calculate the remainder when g*5/(15/(-11)) is divided by 6.
4
Suppose 34*m - 70*m + 2196 = 0. Calculate the remainder when 178 is divided by m.
56
Let u(p) = 7*p + 16. Let v be u(6). Let b = v - 37. Calculate the remainder when b is divided by 6.
3
Suppose -2*r + 13*y + 29 = 8*y, 3*r - 35 = -y. Let d = 108 - 55. Calculate the remainder when d is divided by r.
5
Let s = 10 + -4. Let y = 294 + -235. Calculate the remainder when y is divided by s.
5
Let m = -90 + 170. Suppose 3*d - 5*i - 121 = 0, i - 44 = -2*d + 41. Calculate the remainder when m is divided by d.
38
Let c be (-4)/(-6) - 120/(-36). Suppose -5*x + 8 = -3*o, 0 = -c*x + o + 10 + 2. Suppose -69 = -7*p + x*p. What is the remainder when 43 is divided by p?
20
Let j = -76 - -120. What is the remainder when 59 is divided by j?
15
Suppose -2*h + 120 = -0*h. Suppose -12 = -4*x + x. Suppose v = -x*v + h. Calculate the remainder when 47 is divided by v.
11
Calculate the remainder when (48/10)/((-1)/(-5)) is divided by 13.
11
Let j(u) = u + 39. What is the remainder when -6 + (2 - 168)/(9 - 11) is divided by j(0)?
38
Let a = 222 - 210. Calculate the remainder when a is divided by 6.
0
Let w(z) = -z**3 + 4*z**2 + 2*z - 6. Let j be w(4). Calculate the remainder when 123/5 + (-576)/60 + 10 is divided by (-3)/((j/(-3))/2).
7
Calculate the remainder when (-1 + -1 + 3)/(1/123) is divided by 35.
18
Let t be (0/(6 - 2))/4. Suppose -6 + t = -3*q. Suppose q*y + 3*y = 30. Calculate the remainder when 10 is divided by y.
4
Let g = 18 - 5. Suppose -2*a + 136 = 4*o, 5*o + 4*a - 3*a - 176 = 0. Calculate the remainder when o is divided by g.
10
Suppose -62*t + 45*t = -85. Let i(s) = s**2 + 5*s + 5. Let o be i(-4). What is the remainder when (1*6)/o*1 is divided by t?
1
Let n(a) = -a**3 - 9*a**2 + 4*a - 21. Calculate the remainder when 113 is divided by n(-10).
35
Suppose -1348 = -11*t + 797. Calculate the remainder when t is divided by 10.
5
Suppose -r + 3*d + 62 = 0, 4*d + 21 = 3*r - 170. Calculate the remainder when 324 is divided by r.
64
Let z be (5/15)/(3 + (-78)/27). Suppose -4*a + 34 = 2*s, -a + 3 = -z*s - 9. What is the remainder when 60 is divided by a?
6
Let m = 306 - 177. Calculate the remainder when m is divided by (-480)/(-44) - (-12)/132.
8
Let l = 210 + -69. What is the remainder when l is divided by 30?
21
Suppose 7*a - 1647 - 3232 = 0. What is the remainder when a is divided by 19?
13
Let x(t) = -2*t**3 + 3*t**2 + 2*t - 1. Let n = -5 + 3. Suppose -11*d + 132 = 34*d - 23*d. Calculate the remainder when x(n) is divided by d.
5
Let g(u) be the second derivative of -11*u**5/20 + u**4/6 + u**3/2 - u**2/2 - 20*u. Calculate the remainder when g(-2) is divided by 30.
29
Let c = -24 - -44. Suppose 0 = -5*h - 4*q - 5, 2*h - 8 = 2*q + 8. Suppose h*z - 28 = 149. What is the remainder when z is divided by c?
19
Suppose -19 = -d - 3*a, d = a + 3 + 12. Let r = -12 + 55. What is the remainder when r is divided by d?
11
Let q(u) = u**3 - 8*u**2 + 5*u - 4. Let x be q(7). Let h = x - -24. Let g = 6 + h. What is the remainder when 34 is divided by g?
10