.
10
Suppose -4*v - 14 = m + 24, -3 = v - 3*m. Let o(c) = -c**3 - 6*c**2 + 12*c + 2. Calculate the remainder when o(v) is divided by 46.
45
Let x(z) = 4*z - 84. Let o be x(0). Suppose -3*h + b = -59, 104 = -h + 5*h + 5*b. What is the remainder when ((-861)/o)/(0 + (-1)/(-4)) is divided by h?
20
Let k(z) = 47*z**2 + 2*z + 15. Let y be k(4). Suppose 10*b = 1215 + y. Calculate the remainder when b is divided by 25.
24
Suppose -5 = -4*c + 11. Let a(m) = 3*m + 2*m**2 + 0*m**3 + m - m**3. What is the remainder when c is divided by a(3)?
1
Suppose 15 = 5*s - 85. Suppose 3*x - u - s = -5*u, 3 = -3*u. Calculate the remainder when 11 is divided by x.
3
Let g(l) = 3*l - 13. Let m be g(12). Suppose 0 = -2*b - 2, x - 5*b - m = 21. Suppose 77 = 4*c - x. Calculate the remainder when c is divided by 8.
5
Let f = 567 + -366. What is the remainder when f is divided by 13?
6
Let v = -58 + 54. Suppose -3*l + 26 = -31. Calculate the remainder when 210/v*4/(-6) is divided by l.
16
Let w(p) = 11*p**2 - 3*p**2 + 4 - 7*p**2. What is the remainder when 24 is divided by w(3)?
11
Suppose 0*m + 2*m - 2 = 0. Let k(j) = j - 9. What is the remainder when m is divided by k(10)?
0
Let m = 246 - 167. What is the remainder when m is divided by 41?
38
Suppose 0 = 3*d - 0*d - 192. Let w = 101 - d. Calculate the remainder when w is divided by 3/(-1 + 26/20).
7
Suppose -175 - 95 = -15*o. Calculate the remainder when o is divided by 4.
2
Let s(w) = -w + 46. What is the remainder when 316 is divided by s(35)?
8
Let y be 128/7 + (-4)/14. Suppose -2*x + y = x. What is the remainder when 55 is divided by (x/4)/(30/560)?
27
Let t = 242 + -203. Suppose 0 = 3*g - 123 - 225. Calculate the remainder when g is divided by t.
38
Suppose 54*k - 53*k = 29. What is the remainder when 258 is divided by k?
26
Let f(d) = -21*d - 20. What is the remainder when 57 is divided by f(-2)?
13
Let w(r) = -r**3 + 15*r**2 + 21*r - 22. Calculate the remainder when w(16) is divided by (-8)/10*1/((-4)/50).
8
Suppose 0 = -2*y + 22 + 14. Let c = -5001 - -5042. Calculate the remainder when c is divided by y.
5
Let k(f) = 23*f**2 - 1. Let d be k(1). Suppose 0 = -5*z + 38 + d. Calculate the remainder when 47 is divided by z.
11
Suppose 2*p + 0*v + 4*v - 20 = 0, -4*p - 5*v = -34. Calculate the remainder when 310/4*1 + (-30)/60 is divided by p.
5
Let x = 52 + -227. Let j = -161 - x. Calculate the remainder when 68 is divided by j.
12
Suppose 3*w + 61 + 71 = 0. Suppose 0 = 3*o - r + 284, -o + 4*r = -r + 104. Let y = w - o. What is the remainder when y is divided by 13?
11
Let m = -243 + 284. Calculate the remainder when m is divided by 29.
12
Let v(h) = 2*h**3 + 38*h**2 - 33*h + 188. What is the remainder when 1341 is divided by v(-20)?
45
Suppose -4*g = -0*g - 68. Suppose 3*y = 15*y - 792. What is the remainder when y is divided by g?
15
Let p(l) = l**2 + 8*l + 5. Suppose 2*c = 5*v - 8, -v - 2*v = 2*c - 24. Suppose 0 = -c*b + 8*b - 36. What is the remainder when b is divided by p(-8)?
3
Suppose h + 9 + 30 = 3*u, 2*u - 2*h = 30. Let f = u - -7. What is the remainder when f is divided by 5?
4
Let u(b) = 18*b - 5. Let j be u(-6). Let y = j + -391. Calculate the remainder when y/(-16)*2/3 is divided by 11.
10
Suppose 6*w - 169 = -67. Suppose 8*d - 4*d = 5*n - w, 0 = -n + 3*d - 1. Calculate the remainder when 14 is divided by n.
4
Let r be 2/(-5) - (-24)/10. Suppose -31 - 35 = -r*d. What is the remainder when 64 is divided by d?
31
What is the remainder when 1063 is divided by 20/3*378/168?
13
Let w(u) = 5*u - 5. Suppose 0 = 57*o - 61*o + 188. What is the remainder when o is divided by w(6)?
22
Let m(c) = c**2 - 15*c + 22. What is the remainder when m(14) is divided by 7?
1
Let q = -262 - -331. Calculate the remainder when q is divided by 44.
25
Let r(m) = m**3 - 11*m**2 + m - 6. Let x be r(11). Suppose -z - 4*a = -40, -a + 130 = x*z + 6. Calculate the remainder when (3 + 38/3)*3 is divided by z.
23
Let x(a) = -a**3 - 10*a**2 + a + 6. Let v be x(-9). Let y = 125 + v. Let b(q) = 6*q**2 + q - 1. What is the remainder when y is divided by b(-2)?
20
Let x(h) = h**2 + 4*h + 7. What is the remainder when 580/14 - 1 - 16/(-28) is divided by x(-5)?
5
Let r = 302 - 286. Calculate the remainder when 34 is divided by r.
2
Let y = 322 - 150. What is the remainder when y is divided by 16?
12
Let k be (-4 - 0)*(1 + -11). Let o = 9 + k. Let z(r) = -r**3 + 10. What is the remainder when o is divided by z(0)?
9
Calculate the remainder when (-29090)/(-75) - 8/(-60) is divided by 13.
11
Suppose -282 = -4*j + 2*p, -4*j + 3*p + p + 288 = 0. What is the remainder when j is divided by 46?
23
Let r be -10*(2 + 1)/(-6). Suppose -f - 4*g = -2*f + r, -5*f - 3*g = -25. Calculate the remainder when f is divided by 2 - 2/(-1 + -1).
2
Suppose g + 2*x - 32 = 0, 5*g - 2*x = 2*x + 188. Suppose 0 = -5*c + 2*c + g. Calculate the remainder when 1*((-627)/(-27) - 6/27) is divided by c.
11
Suppose -5*v + 11 + 40 = 2*m, 0 = 4*m - 3*v - 115. Calculate the remainder when 129 is divided by m.
17
Suppose 0 = 3*s + 2 - 5. What is the remainder when 3 is divided by s?
0
Suppose 7*x + 2*l - 65 = 2*x, 26 = 2*x - l. Suppose -6*p - x = 95. Let i(j) = j + 28. What is the remainder when 36 is divided by i(p)?
6
Let b = 8 - -20. What is the remainder when b is divided by (-6 - (-7 + -2)) + -1 + 15?
11
Let i(u) = u**3 + 13*u**2 + 34*u - 19. What is the remainder when 1448 is divided by i(-8)?
27
Let u = -1 - 0. Let b be (2*1)/(10/90*9). Calculate the remainder when 13/b - u/(-2) is divided by 4.
2
Let u be (2874/8 - 1) + 15/(-60). Suppose 0*g = -4*g + 5*r + 707, -2*g + 4*r + u = 0. Calculate the remainder when g is divided by 22.
19
Let o = 90 + -75. Suppose 6*i - o = 27. What is the remainder when i is divided by -4*(0 - 2/4)?
1
Let f(s) = 76*s**3. Let h = 45 - 29. What is the remainder when f(1) is divided by h?
12
Let r = 8 + -2. Let h(c) = -c**2 + 6*c + 4. Calculate the remainder when 14 + (0 - -4) + -7 is divided by h(r).
3
Let l(y) = 61*y + 459. What is the remainder when l(-5) is divided by 81?
73
Let w = 38 - 26. Let q = 51 + -26. Let p = q + -3. Calculate the remainder when p is divided by w.
10
Let l be 7*(-13)/(273/54). Let d = l - -22. Calculate the remainder when 17 is divided by d.
1
Let n = 36 - 22. What is the remainder when -3 + 9 - -66*(-3)/(-6) is divided by n?
11
Let d be (1 + 3)*114/(-8). Let i = 101 + d. Suppose -46 = -11*y + 9*y. Calculate the remainder when i is divided by y.
21
Calculate the remainder when -202*3/(-6) - 5 is divided by 28.
12
Let x = -26466 - -26489. Let o(q) = 2*q**2 + 6*q - 7. Calculate the remainder when x is divided by o(-5).
10
Suppose c - b - 143 = 0, -b + 378 = 2*c + 98. Suppose 0 = 3*y - 4*s + c, -5*y - 167 = s + 91. Calculate the remainder when 45 is divided by 812/34 - 6/y.
21
Let c(t) = -t**3 + 9*t**2 + 6*t - 33. Calculate the remainder when 2*(159/6 - -2) is divided by c(9).
15
Let a = -8 + 8. Let c be a + 3 - (3 + -6). What is the remainder when 19 is divided by (-9)/c*(-22)/3?
8
Let k(a) = 2*a**2 - 26*a + 49. Let t be k(2). Let d(r) = 3*r**2 - 4*r**2 + 3*r + r**3 - 4*r**2 - 4. Calculate the remainder when d(t) is divided by 6.
5
Let j(v) be the second derivative of v**4/12 + 3*v**3/2 + 9*v**2/2 + 4*v. Let p be j(-7). What is the remainder when (4/p)/((-4)/310) is divided by 16?
14
Let d = 32 + -22. Let s = d - 4. Suppose 0 = -2*n - 4*p + 8, 6*n - 2*p = 4*n + 2. What is the remainder when s is divided by n?
0
Suppose -5*b - 23 = -108. Let g(y) be the first derivative of 13*y**2/2 - 55*y + 8. What is the remainder when g(9) is divided by b?
11
Suppose 2*q + 5*a = 4*a + 6, -3*q + 9 = -5*a. Suppose 2*t = 8, p + 3*t + 48 = q*p. What is the remainder when 119 is divided by p?
29
What is the remainder when 131 is divided by ((-8)/(-6))/(((-4)/(-132))/1)?
43
Let g be ((-33)/(-22))/(2/(-88)). Let h be g/11*(-14)/6. What is the remainder when (-7)/(h/(-4)) + 55 is divided by 15?
12
Suppose 31*g - 742 = 95. Calculate the remainder when 87 is divided by g.
6
What is the remainder when ((-6496)/(-26) - -1) + 204/1326 is divided by 42?
41
Let r(b) = -2*b**2 + 7*b. What is the remainder when 49 is divided by r(3)?
1
Suppose 2*h = -1 - 7. Let z be 0/(h*4/(-8)). What is the remainder when 42 + (-1 - z) - 0 is divided by 7?
6
Let p = 23