ided by 7.
5
Let j(v) = -5*v + 30. Let x be j(5). Suppose -2*w - 5*p + 86 = 0, -x*w + 0*p + 261 = p. Let z = 3 - -11. What is the remainder when w is divided by z?
11
Let a(j) = -56*j + 38. Calculate the remainder when a(-2) is divided by 6.
0
Suppose 2*z - z = 89. What is the remainder when z is divided by 3*344/33 + (-6)/22?
27
Let t = -15 - -29. Suppose 5*k + 137 = -4*r, -r + 9 = k + 43. Let i = -25 - r. Calculate the remainder when t is divided by i.
6
Let y(i) = 2*i**2 - 3*i - 2. Let r be y(-1). Suppose -r*h = 3*m - 66, 4*h - m = 4*m + 79. What is the remainder when 39 is divided by h?
18
Let m(u) = 46*u + 2. Let z = -159 + -469. Calculate the remainder when m(2) is divided by z/(-20) + (3 - 24/10).
30
Let r(v) = -2 + 2 - 2 + 12*v**2 + 75*v**2. What is the remainder when r(-1) is divided by 11?
8
Suppose -4*o = -6*o - 5*n + 281, -3*o = n - 415. Suppose 0*z - 6*z = -o. What is the remainder when 91 is divided by z?
22
Let j(o) = 9*o**2 - 2*o + 1. Let s(h) = 5*h**2 - 2*h. Let y(x) = -2*j(x) + 5*s(x). What is the remainder when y(4) is divided by 33?
20
Suppose 4*j = -5*w + 105, -2*w + w + 21 = -3*j. Calculate the remainder when 76 is divided by w.
13
Let o = -150 + 176. Calculate the remainder when 48 is divided by o.
22
Suppose 30 = 2*o + 28, -5*q = 2*o - 1372. What is the remainder when q is divided by 31?
26
What is the remainder when (-4)/10*11285/(-122) is divided by 26?
11
Let h = -2596 - -2675. What is the remainder when 291 is divided by h?
54
Let u(o) = 4*o + 10. Let c = -10 + 14. Calculate the remainder when (57 - 0)*c/3 is divided by u(4).
24
Suppose c + 29 = 5*s, 0 = -2*s + c + 6 + 8. Let y be (-6)/27 + 1464/27. Suppose -4*v + y = -v. What is the remainder when v is divided by s?
3
Suppose 0 = -2*c + 3*b - 21 + 85, -b - 4 = 0. What is the remainder when 1454 is divided by c?
24
Let p be (-20)/(-3)*(-30)/(-25). Suppose -2*j + 0 = -p. Suppose a - 5*y + 64 = j*a, -60 = -5*a + y. Calculate the remainder when a is divided by 8.
5
Suppose b + 3*v = 6 - 18, -4*v = 12. Let f be b/42*-4*14. Calculate the remainder when 31 is divided by ((-11)/4)/((-1)/f).
9
Suppose 10*r - 3*r = 0. Suppose f - 75 + 32 = r. What is the remainder when f is divided by 23?
20
Suppose -92 = -2*u - 4*b, 8*b - 4*b = 4*u - 136. Calculate the remainder when 186 is divided by u.
34
Suppose -166 = -12*w + 158. Calculate the remainder when 131 is divided by w.
23
Suppose 2845 = 33*j + 964. Calculate the remainder when j is divided by 3.
0
Suppose -162 = -3*y + y + 2*c, 2*y + 2*c - 154 = 0. Suppose m - a - 14 = -2*a, 5*m + 2*a = y. What is the remainder when m is divided by 5?
2
Suppose 0*n - 55 = -5*n. Let y be ((-72)/(-1))/(-21 + 22). Let z = y - 30. Calculate the remainder when z is divided by n.
9
Let s = 23 + 45. What is the remainder when s is divided by 35?
33
Suppose 2*p + 2*u = 88, 93 + 35 = 3*p + 5*u. Let v(q) = 3*q - 9. Let c be v(12). Suppose 91 - c = 4*j. Calculate the remainder when p is divided by j.
14
Let y = -1988 + 2032. Calculate the remainder when 260 is divided by y.
40
Suppose -5*u + 5*i + 4 = 29, -4*u - 5*i - 20 = 0. What is the remainder when 18 is divided by 1/(2/u)*-2?
3
Let y = -48 - -105. Let x(v) = 9*v - 84. Calculate the remainder when y is divided by x(11).
12
Suppose 240 = -4*a + g - 535, 5*g + 975 = -5*a. Let q = -92 - a. Let p = -15 - -41. Calculate the remainder when q is divided by p.
24
Suppose -2*d = -125 + 15. What is the remainder when d is divided by 10?
5
Let f = -5 - -15. Let m = -56 + 27. Let x = m + 65. Calculate the remainder when x is divided by f.
6
Let w(r) = r**3 - 5*r**2 + 5*r - 5. Let x be w(4). Let z be (x/(-3))/((-3)/(-54)). Suppose -z = -v - 0*v. Calculate the remainder when 10 is divided by v.
4
Let z = -294 + 320. What is the remainder when 60 is divided by z?
8
Suppose -3*x + h + 305 = 0, -2*x + 4*h + 205 = 15. What is the remainder when x is divided by 38?
27
Let u(n) = -n - 18. Let r be u(18). Let a = r - -50. What is the remainder when 68 is divided by a?
12
Let o(n) = -n**3 + 4*n**2 + 5*n + 4. Let h be o(5). Suppose -5*c - h*m = -73, -3*m - 45 = -3*c - 6*m. What is the remainder when 22 is divided by c?
9
Let o be -6*((-2)/(-4))/((-1)/(-2)). Suppose 7 = -3*v + 16. Calculate the remainder when (-5)/(-15) + 1/(o/(-28)) is divided by v.
2
Let j(i) = -i**3 + 10*i**2 + 10*i + 14. Let v be j(11). What is the remainder when 158 is divided by 2 - (-20)/(-12) - (-119)/v?
38
Suppose f + 5*n + 9 = 0, -3*f + n + 0*n = -53. Calculate the remainder when 141 is divided by f.
13
Let p = -5 - -7. Suppose -33 = -p*f - f. Let g = f + -10. What is the remainder when 4 is divided by g?
0
Let t = -1577 - -1651. Calculate the remainder when 590 is divided by t.
72
Suppose 2*b = -3*y - 2 - 11, 0 = 5*y - 5*b + 30. Calculate the remainder when 78/((-15)/y) - -3 is divided by 11.
7
Suppose 605 = 4*v + 7*v. Let u = 103 - v. What is the remainder when u is divided by 21?
6
Let c(x) = 5*x**2 + 24*x - 117. What is the remainder when c(6) is divided by 54?
45
Suppose 0 = -2*r - 40 + 112. What is the remainder when r is divided by 4?
0
What is the remainder when 512/(-12)*(-27)/12 is divided by 50?
46
Let c = 194 - 171. Calculate the remainder when 181 is divided by c.
20
Suppose 5*x - 34 = 16. Let f = 16 + x. What is the remainder when f is divided by 9?
8
Let v = 228 + -175. What is the remainder when 58 is divided by v?
5
Suppose -27*q = -7*q - 1700. What is the remainder when 594 is divided by q?
84
Let c(p) = -p**3 + 16*p**2 + 46*p - 164. Calculate the remainder when 655 is divided by c(18).
15
Let m(z) be the third derivative of -z**5/60 - 5*z**4/12 - z**3 + 11*z**2. What is the remainder when 28 is divided by m(-7)?
13
Let m = 17 + -9. Let v(c) be the first derivative of -c**3/3 + 13*c**2/2 + 22*c + 15. Calculate the remainder when v(13) is divided by m.
6
Suppose 24*x - 44866 + 2698 = 0. Calculate the remainder when x is divided by 16.
13
Calculate the remainder when 144 is divided by (10/(200/185))/((-2)/(-8)).
33
Let w = 353 + -245. What is the remainder when w is divided by 16?
12
Suppose 0 = 3*r - 10 - 179. Let h = 173 - 50. What is the remainder when h is divided by r?
60
Let t(o) = 2*o**2 - o + 3. Calculate the remainder when (-23166)/(-468) + (-3)/2 is divided by t(3).
12
Let i(d) = 32*d + 6. Let j = -199 + 388. What is the remainder when j is divided by i(1)?
37
Let k(j) be the third derivative of -5*j**4/4 + 11*j**3/6 - 6*j**2. Calculate the remainder when k(-2) is divided by 20.
11
Suppose 3186 = 1007*t - 1001*t. What is the remainder when t is divided by 67?
62
Let c = 31 + -29. Suppose -4*u - 44 = -c*s, -s - 4*s = -5*u - 130. What is the remainder when s is divided by 9?
3
Let x be ((-1)/(-3) + -1)/((-8)/(-36)). Calculate the remainder when 1/3 - (x + (-50)/3) is divided by 3.
2
Suppose -3*u = 5*b - 363 + 120, -u = -4*b + 208. Calculate the remainder when b is divided by 21.
9
Let p(w) = w + 7. Let x be p(3). Suppose 4*d - x = 5*d. Calculate the remainder when 2079/35 + 4/d is divided by 15.
14
Suppose -107 = -2*m - 69. Calculate the remainder when m is divided by ((-1)/1)/(2/(-20)).
9
Let g = -16 - -26. Suppose -4*i = -12, 2*y = 3*i - 22 - 27. Let c(k) = -k**3 - 22*k**2 - 41*k + 17. What is the remainder when c(y) is divided by g?
7
Let p(d) = d**3 + 12*d**2 + 4*d + 9. Let y be p(-5). Suppose -630 = -5*l - 3*o, o - y = -2*l + 89. Calculate the remainder when l is divided by 22.
19
Let c(t) = 3*t - 2. Let v be c(-6). Let w = v - -29. What is the remainder when (-12)/4 - w*-2 is divided by 4?
3
Let p(q) = 2*q + 1. Suppose 2*j + 504 = -4*h, -1026 = 4*j - 0*j - h. What is the remainder when (10/8)/((-16)/j) is divided by p(3)?
6
Suppose 3*l + 5*u = -l + 22, l + 3*u - 9 = 0. Suppose -l = -c, 2*z - 5*c + 3 = -2. What is the remainder when 2*-2 + (-168)/(-28)*2 is divided by z?
3
Let p(c) = -5*c - 10. Let u = -23 + 20. Let o be p(u). Suppose -l + 18 = -h, -2*l + o*l - h = 54. What is the remainder when l is divided by 10?
8
Let x(f) = 12*f**2. Suppose -445*t = -412*t - 1518. Calculate the remainder when t is divided by x(1).
10
Let p(i) = i**3 + 13*i**2 - 2*i - 4. Let b be (-2)/(2/(-1)) - 252/18. What is the remainder when p(b) is divided by 10?
2
Suppose -3*o + 3*l = 7*l - 311, o - 97 = 2*l. Calculate the remainder whe