(-7000)/(-224) + 9/(-4).
4
Let k = 1187 + 982. Calculate the remainder when k is divided by 75.
69
Suppose 0 = -6*t - 2 + 20. Suppose -2*l - 3*o + 20 = -1, -4*o = t*l - 30. Suppose 9*z - 6*z - 60 = 0. What is the remainder when z is divided by l?
2
Let r(j) be the third derivative of 5/24*j**4 + 1/60*j**5 + 0 + 11/6*j**3 + 0*j - 3*j**2. Calculate the remainder when r(-8) is divided by 12.
11
Let d(y) = -y**2 + 1. Let x be d(1). Suppose x = 3*u + u - 132. Let l = 125164 - 125035. Calculate the remainder when l is divided by u.
30
Let p(b) = 493*b**2 + 83*b + 239. What is the remainder when p(-3) is divided by 21?
17
Let k = -247 - -288. Suppose k*g - 35*g = 144. Let d(m) = m**2 + 4*m. Calculate the remainder when g is divided by d(-5).
4
Let g = 3511 + -3381. Calculate the remainder when g is divided by 7.
4
Let m(t) = -t**3 - 21*t**2 + 47*t - 109. What is the remainder when m(-25) is divided by 219?
121
Suppose -3 = -3*h - 0*h. Let l(t) = 39*t**2 - t + 1. Suppose -3*f = -x - 8, 12 - 40 = -2*f - 5*x. What is the remainder when l(h) is divided by f?
3
Suppose 4*b = 2 + 6. Let f(q) = 14*q**2 + 12121509 - 14*q - 12121510 + 4*q. What is the remainder when 90 is divided by f(b)?
20
Let q be -11 + (-1015)/(-91) - 4201/13. Let l = q + 412. What is the remainder when l is divided by 6?
5
Let x = 54 - 8. Let j = x - -262. What is the remainder when j is divided by 78?
74
Let o(b) = 5*b**2 + 675*b - 633. Calculate the remainder when 772 is divided by o(-136).
20
Let m = 15 + 97. Let g(x) = 19*x - 7 - 6 - 6 - 12*x. What is the remainder when m is divided by g(6)?
20
Let p be (17/17)/(2/46). Let r = p + 14. What is the remainder when r is divided by 25?
12
Let v = -5447 - -5457. What is the remainder when 128 is divided by v?
8
Let t be ((-7)/14)/((-2)/(-432)). Let i = 126 + t. Calculate the remainder when 20 is divided by i.
2
Suppose -31 = -4*q + 9. Let r be -1 - (0 - -12)/(-3). Suppose -2*o = r*o - q, 0 = -3*b - o + 62. Calculate the remainder when 94 is divided by b.
14
Suppose -j - 3*q = -50, 3*j + 4*q - 5*q = 200. Suppose 5*i = -5*u + j, 0 = i - 6*i + u + 35. Calculate the remainder when 31 is divided by i.
7
Let s(m) be the third derivative of m**4/12 + 75*m**3/2 - 44*m**2. Calculate the remainder when s(16) is divided by 37.
35
Let p = 4235 - 3668. What is the remainder when p is divided by 81?
0
Let n = 87 - -47. Let q(j) = 53*j + 398. What is the remainder when n is divided by q(-7)?
26
Let b(i) = 36*i**2 + i + 87. What is the remainder when 454 is divided by b(0)?
19
Suppose 0 = 3*b + 4*b - 287. Suppose 2*t + 36 = -4*v, 6*v + b = -2*t + v. Calculate the remainder when 95 is divided by ((-4)/t)/((-2)/(-264)*2).
29
Let c(s) = -16*s + 62. Let x(o) = -2*o + 22. Let l be x(11). What is the remainder when c(l) is divided by 4?
2
What is the remainder when -6 + 2 + 1418 + 40/((-72)/(-9)) is divided by 17?
8
Let p(o) = 84*o - 4765. What is the remainder when 375 is divided by p(59)?
184
Suppose -4699 - 5705 = 9*w. Let o = 1794 + w. Calculate the remainder when o is divided by 71.
70
Suppose 0 = 4*h - 3*h + q - 167, -4*q + 497 = 3*h. Let y = h + -82. Let s = y - 82. Calculate the remainder when 24 is divided by s.
3
Suppose 0 = 64*o - 48*o - 15184. Let c = o + -944. What is the remainder when 24 is divided by c?
4
Let w be (3 - 4)*(3 + -2). What is the remainder when -6*w/(-1)*-1 is divided by ((-14)/(-4) + -1)/(31*45/2790)?
1
Let z(v) = -325*v + 4032. What is the remainder when z(8) is divided by 36?
28
Let f(x) = 2*x**3 + 19*x**2 + 8. What is the remainder when f(-7) is divided by 4*4*36/18?
29
Let v(i) = 4*i**2 - 99*i - 20. Let c be v(25). Suppose -c*z - 23 = -n + 23, z = n - 30. What is the remainder when 55 is divided by n?
3
Let j = 5 - 2. Suppose -2*u + 3*m = -50, 4*u = 16*m - 12*m + 88. What is the remainder when u is divided by j?
1
Suppose -455 = -5*k + y, 3*y = -k + 4*y + 95. Let x = 94 - k. Suppose -4*f = x*m - 72, -3*m - 4*f + 7*f = -30. Calculate the remainder when m is divided by 2.
0
Let y be 10/(-3) + 13/((-351)/18). Let q be (-12)/(-1)*(-2)/y. Suppose -q*a - 62 = -7*a. What is the remainder when a is divided by 21?
20
Let r be (-73008)/112 + (0 - (-3)/(-21)). Let l = -637 - r. Calculate the remainder when l is divided by 9.
6
Let r = -505 - -539. Let p = -166 - -184. Calculate the remainder when r is divided by p.
16
Let o be 2 + 4 + 1 + 1. Suppose 0*v + o = 2*v. Suppose 3*k = -v*p + 71, -3*p + 4*p = 5*k - 80. What is the remainder when 82 is divided by k?
14
Suppose -7*m - 323 = -554. Suppose 0 = -p - 5*j + 55, -4*p = p + 4*j - 170. Suppose v - p = -4*v. What is the remainder when m is divided by v?
3
Let c(y) = -17*y - 5. Let v(z) = 2*z**3 + 39*z**2 + 97*z - 52. What is the remainder when v(-16) is divided by c(-4)?
62
Let h be 0 - (-4)/16*0. Let y(s) = -11*s + 74. Let i be y(-8). Suppose 2*m - i = -h*m. What is the remainder when m is divided by 42?
39
Suppose -2*z - z - 4*v = -472, z - 3*v = 153. Calculate the remainder when 14 is divided by (-3)/(-15) - z/(-20).
6
Let m = 52 + -53. Let t be (0 - m) + (92 - (-20)/5). Let d = -69 + t. Calculate the remainder when d is divided by 17.
11
Let b = -30 + 77. Let j(c) = c - 4. Let r be j(6). Suppose 0 = 3*p - 3*s - 33, 3*s + r*s = -2*p + 29. Calculate the remainder when b is divided by p.
11
Suppose 16 = 4*g, -3*g + 256 = -k + 2*k. Let u = -240 + k. What is the remainder when 15 is divided by u?
3
Suppose 3*y + 5067 = 3*b, 3*y + 8517 = 5*b + 72. Calculate the remainder when b is divided by 1687.
2
Suppose 208*j - 212*j = -1369 - 2043. Calculate the remainder when j is divided by 280.
13
Suppose -4889 = -3*h - 2*o, -18*h + 20*h - 5*o = 3253. Calculate the remainder when h is divided by 15.
9
Let r = 199 + -72. Let z(y) = -y**2 - 1087*y + 4396. Calculate the remainder when r is divided by z(4).
31
Suppose 4*q - 223 = -5*g, -7*q + 35 = -5*g + 291. Calculate the remainder when 166 is divided by g.
25
Let z = -178 - -178. Suppose -4*m - 3*k = -593, z = 3*m - 3*k + 269 - 698. Calculate the remainder when m is divided by 17.
10
Let g(a) = a**2 + 9*a - 1687. Calculate the remainder when 1329 is divided by g(-46).
9
Suppose -16326 = 182*w - 684084. What is the remainder when w is divided by 102?
99
Let b(a) = 367*a**2 - 141*a - 44. What is the remainder when b(3) is divided by 4?
0
Let r(n) = 4*n**3 - 12*n**2 - 21*n - 12. Let f be r(5). Let s = f + -53. Calculate the remainder when 126 is divided by s.
6
Let w be 3/((-2)/11 - 182/(-154)). Let m(g) = 2*g**2 - 8*g + 4. What is the remainder when 1/(w/(-6) - (-85)/166) is divided by m(6)?
27
Suppose 2*z = 1 + 3. Suppose 5*o = -2*l + 31, 165 = 5*l - 6*o + o. Suppose 16*v - l = 12*v. Calculate the remainder when v is divided by z.
1
Suppose 0 = v - 10 - 25. Suppose 260 = 7*s + 6*s. Let f = 38 - s. What is the remainder when v is divided by f?
17
Suppose 5*a - 16 = 2*r - r, 3*r - 5*a = -8. Suppose -j = 5*d - 45 - 355, r*j + 4*d = 1664. Calculate the remainder when j is divided by 47.
44
Suppose -715*j = -774*j + 4366. Calculate the remainder when 795 is divided by j.
55
Suppose -8*s = -21*s + 1287. Let k = 126 - s. Calculate the remainder when 161 is divided by k.
26
Let p = 67 + -25. Let c(y) = -6*y**2 + 25*y - 10. Calculate the remainder when p is divided by c(3).
9
Suppose -2*f + 1385*i = 1381*i - 846, 4*i = -f + 465. What is the remainder when f is divided by 32?
21
Suppose 6706 = 248*k + 231*k. Suppose 23 = 3*n + 2*l, -l - l = 2*n - 18. Calculate the remainder when k is divided by n.
4
Let g(y) = -2*y**3 + 47*y**2 + 325*y - 7990. Let m(h) = -3*h**3 - 7*h**2 + 3*h + 3. Calculate the remainder when m(-5) is divided by g(23).
6
Let x be (12/15)/((-1)/(-15)). Let h(g) = 16*g - 70. What is the remainder when h(x) is divided by 9?
5
Suppose f = h, 12 = -0*h + 5*h + f. Let a(m) = -m**3 - 2*m**2 + 3*m + 1. Let s be a(h). What is the remainder when (-2)/(3 + s)*93 is divided by 11?
9
Suppose -8*s + 5*m + 35 = -5*s, 2*s - 3*m = 24. Let r(p) = 2*p**2 - 26*p + 34. Calculate the remainder when r(s) is divided by 49.
45
Suppose -1931 = -4*a + u - 1040, 5*u - 207 = -a. What is the remainder when 894 is divided by a?
6
Let i = -6 - -52. Let h(w) = 34*w + 7. Let t be h(-2). Let z = -37 - t. Calculate the remainder when i is divided by z.
22
Let z = 190 + -165. 