184 = 0. Calculate the remainder when x is divided by 30.
26
Let x(p) be the first derivative of 4*p**3/3 + 4*p**2 + 15*p - 38. Let k = -2 - -11. What is the remainder when x(-2) is divided by k?
6
Let r(m) = m**2 - 22*m + 58. What is the remainder when r(24) is divided by 54?
52
Let y = 293 + -212. Calculate the remainder when y is divided by 28.
25
Suppose 3 = 2*t + 15. Let z = t + 65. What is the remainder when z is divided by 16?
11
Suppose 2*v = 4*j - 206, -4*v + 188 = 4*j - 0*v. Let i = 9 - -1. Suppose 13*l - 51 = i*l. What is the remainder when j is divided by l?
16
Let p(w) = -w**3 - 13*w**2 - 14*w - 11. Let i be p(-12). Suppose -3 = -8*l + i. Suppose l*y - 381 = -y. Calculate the remainder when y is divided by 32.
31
Let h(j) = -44*j**3 + j**2 - 2*j - 3. Let c be h(-2). Suppose c = 8*p - 1259. What is the remainder when p is divided by 41?
38
Let l(v) = -2*v**3 + v**2 + 2*v + 909. Calculate the remainder when l(0) is divided by 48.
45
Suppose -5*b + 33 = 4*h, 8 = -3*h - 4*b + 34. Suppose y = 2*y - 61. Let q = -55 + y. Calculate the remainder when q is divided by h.
0
Let j(q) = q**3 - 6*q**2 - 9*q - 2. Let z be j(7). Calculate the remainder when 19 is divided by ((-158)/z - 6) + 1/8.
3
Suppose 34 = 2*i - 0*i. Calculate the remainder when 150 is divided by i.
14
Let u(j) = 45*j - 948. Calculate the remainder when 255 is divided by u(24).
123
Let n be (-5 - -4 - 1) + 5. Calculate the remainder when 23 is divided by (n - -1) + (-3 - -9).
3
Suppose 3*g + 0*n - 273 = -5*n, 0 = g + 3*n - 87. What is the remainder when g is divided by 33?
30
Let a(h) be the first derivative of -5*h**2 - 9*h + 41. Suppose 41 = -5*o - 5*m + 1, -4*m - 23 = 3*o. What is the remainder when a(o) is divided by 21?
18
Let i = 6 + -4. Suppose -24 = -i*x + 4*v, -4*x + 2*v + 78 = -0*v. Let u = 37 + 26. What is the remainder when u is divided by x?
19
Let j be 48/20 - 0 - (-6)/(-15). Suppose -m - 3*c + 0*c + 36 = 0, -j*m + c + 79 = 0. Calculate the remainder when m is divided by 23.
16
Let r = 27 - 15. Let b = r - 15. Calculate the remainder when 26 - 2*b/2 is divided by 10.
9
Suppose 35 = -23*g + 265. What is the remainder when 55 is divided by g?
5
Suppose -o - j + 3*j + 23 = 0, 2*o + 2*j = 58. Suppose 0 = -7*k - 2*k + o. What is the remainder when 29 is divided by k?
2
Let r be 0/(4/(7 + -3)). Suppose -3*d + 12 + 6 = r. Suppose 2*k - 12 = 3*t, -5*t = 4*k - 0*k - 2. Calculate the remainder when d is divided by k.
0
Suppose -20*l = -22*l + 32. Suppose 295 = -3*d + 8*d. What is the remainder when d is divided by l?
11
What is the remainder when 120 is divided by ((14 - 3) + -10)/((-1)/(-11))?
10
Let j = 260 + -54. Calculate the remainder when j is divided by 13.
11
Suppose -6*w + 1 = -5. Let m(o) = o. What is the remainder when m(2) is divided by (3/w)/(18/12)?
0
Let i be (-2)/4 - 1/2. Calculate the remainder when (-3)/(-6)*(-86)/i is divided by ((-22)/(-3))/(2/3).
10
Suppose 2316*u = 2331*u - 1065. What is the remainder when 169 is divided by u?
27
Let o(v) be the third derivative of v**6/120 + 3*v**5/10 + 5*v**4/8 - 7*v**3/3 - 24*v**2. What is the remainder when 34 is divided by o(-17)?
14
Let h(z) be the second derivative of z**4/6 + 5*z**3/6 - 8*z**2 + 6*z. What is the remainder when h(4) is divided by 20?
16
Suppose -6*d + 154 = 5*d. Let k = 21 - 15. Suppose 0 = 5*q + d + k, 4*q + 92 = 4*x. What is the remainder when x is divided by 7?
5
Suppose 8*w = 4*w + 16. Let y = -31 - -34. Suppose 2*x + v = 23, -2 - 13 = -y*v. Calculate the remainder when x is divided by w.
1
What is the remainder when 32 is divided by 2 - 0/(1 - -7)?
0
Suppose 5*r - 13 = 3*j, 2*r - 3*j - 3 = -r. Let t(v) = v**2 - 4*v + 1. Let x be t(r). Let z = 5 + x. What is the remainder when 31 is divided by z?
9
Suppose -11*c + 16*c = 50. Suppose -2*w = -5*g + 111, 4*w - c = -g - 1. Suppose 4*v - 154 = 2*l, -3*l + 10 = -l. Calculate the remainder when v is divided by g.
20
Let i = -7 - -10. Suppose 3*k + 4*d - 4 = 0, 4*k + k - 26 = i*d. Suppose -b + 4 = 0, -m = k*m - 5*b. What is the remainder when m is divided by 2?
0
Let b = -363 + 626. Suppose -242 = -3*z + 3*u - 71, 3*u - b = -4*z. What is the remainder when z is divided by 18?
8
Let y(g) = 3*g + 1. Let h be y(-1). What is the remainder when (-1032)/(-16)*(h - 16/(-6)) is divided by 9?
7
Let x be (9 + -6 - 53)/(0 - 1). Suppose -3*m + 4*a + x = -48, 4*m + a = 118. What is the remainder when m is divided by (-114)/(-10) + (-2)/5?
8
What is the remainder when 143 is divided by (16/(-28))/((-11)/1309)?
7
Let k be (-4 + 3)*1*(-12)/4. Suppose -101 = -5*b + k*b + 5*a, 18 = b + 4*a. Calculate the remainder when 149 is divided by b.
35
Let t(z) = 55*z - 16. Let m be t(6). Suppose -m = -6*q - 68. What is the remainder when q is divided by 7?
6
Let n = -81 + 88. Suppose n*c - 50 = -15. Calculate the remainder when 17 is divided by c.
2
Let c(i) = -3*i**3 - 2*i**2 + 16*i + 30. What is the remainder when 44 is divided by c(-2)?
2
Suppose -12 = 478*t - 482*t. Calculate the remainder when 47 is divided by t.
2
Let p = 17 + -12. Calculate the remainder when 22/(-22) + 32/1 is divided by p.
1
Let f = -50 - -52. Suppose f*d - 59 = 15. Calculate the remainder when d is divided by 20.
17
Let z(v) = -v**2 - 4*v + 5. Let p be z(-5). Suppose 4*b + 3*j + 4 - 59 = p, -b = 2*j - 20. What is the remainder when 59 is divided by b?
9
Suppose 2*i + 27 = -13. Let s = i + 42. What is the remainder when (-346)/(-8) + (-6)/24 is divided by s?
21
Suppose -4*a + s + 9 = -a, -13 = -2*a + 3*s. Suppose 38*d = 39*d - a. Calculate the remainder when 2 is divided by d.
0
Let m = -19 + 14. What is the remainder when 27 is divided by (-2)/3*(m + -1)?
3
Suppose 1026 = 26*k + 194. Calculate the remainder when 244 is divided by k.
20
Let l(m) = m**3 - 11*m**2 + 19*m + 7. Calculate the remainder when 44 is divided by l(9).
12
Let y(w) = -w + 48. Let o be y(-20). Suppose -5*p + 92 = -o. Calculate the remainder when p is divided by (51/(-12))/((-1)/4).
15
Calculate the remainder when 231 is divided by 42/(-1)*(-21)/14.
42
Let z = -251 + 278. What is the remainder when 59 is divided by z?
5
Let l = 16 + -13. What is the remainder when 15 is divided by (l/9 - 3)*-3?
7
Suppose 0 = -186*w + 178*w + 544. Calculate the remainder when 202 is divided by w.
66
Suppose -101*q = -63*q - 380. Suppose s - 4*h = -2, h + 3 = 4*h. What is the remainder when (s - 0)/((-1)/(-24)) is divided by q?
8
Let x = -1029 + 1041. What is the remainder when 115 is divided by x?
7
Let v(y) = -2*y**3 - 2*y**2 + y - 1. Let s be v(-2). Let n be 63*(14/6 + -2). Suppose n = -s*u + 121. What is the remainder when 58 is divided by u?
18
Suppose 39 = -2*x + 3*x + 2*y, -112 = -3*x - 5*y. Suppose -c + 3 = 2*c, 4*s = 3*c + x. What is the remainder when 3/(-3)*(-42 + 5) is divided by s?
5
Suppose 2*s = -2, -53*z = -55*z - 3*s + 47. What is the remainder when 1749 is divided by z?
24
Suppose 3*u = 7*u + 172. Let b = u - -66. Suppose 4*z = -3*p + 34, 5*z = 2*p + 3*p - 10. Calculate the remainder when b is divided by p.
5
Suppose -8*i = 3*n - 4*i - 59, -n + 5*i + 7 = 0. Let q = -83 + 93. What is the remainder when n is divided by q?
7
Let u be ((-2)/3)/((-12)/(-54)). Let c = -1 - u. Let g(j) = -j**3 + 19*j**2 - 32*j - 30. Calculate the remainder when g(17) is divided by c.
0
Let f(b) = 10*b**2 - b. Let o = -51 - -49. Calculate the remainder when f(o) is divided by 11.
9
Suppose 2*c - 372 = 2*n, -c + 2*c - 190 = -n. Suppose -4*v = -4*i + c, -v - 244 = -5*i + v. What is the remainder when i is divided by 27?
23
Calculate the remainder when 101 is divided by -1*(-184)/8 + (-3)/(-1).
23
Suppose -3*j + 2*h + 168 = 0, 2*h + 337 - 113 = 4*j. Calculate the remainder when j is divided by ((28 - 5) + (-1 - 7))*1.
11
Suppose 0 = 4*g + 4*z - 180, 3*z = 18*g - 15*g - 117. What is the remainder when 128 is divided by g?
2
Let r(v) = -20 + 7 + 4 + 9*v. What is the remainder when 25 is divided by r(2)?
7
Suppose -j = -3*j + 8, 5*s + 2*j - 1318 = 0. Calculate the remainder when s is divided by 67.
61
Let k(v) = -v**3 + 9*v**2 - 7*v - 4. Let l be (2/(-3))/((-10)/120). Let a be k(l). Suppose -371 + 79 = -a*y. What is the remainder when y is divided by 19?
16
Suppose -3*l - 5*c = -907, -4*l + 5*l + 2*c = 304. What is the remainder when l is divided by 62?
4