1
Let a be (-5 + (-46)/(-10))/(2/10). Let p(b) = 2*b**2 + 2*b - 2. Calculate the remainder when 7 is divided by p(a).
1
Let z(l) be the second derivative of l**4/3 - 2*l**3 - l**2/2 - 18*l. Calculate the remainder when z(5) is divided by 14.
11
Let k = -17 + 22. Let z(h) = 2*h**2 - 5*h. What is the remainder when 98 is divided by z(k)?
23
What is the remainder when 81 is divided by (-9)/(-30)*5*(-8)/(-3)?
1
What is the remainder when 260 is divided by -12 + 4 + 60 - (-10 - -4)?
28
Suppose 0 = 11*l - 188 + 12. What is the remainder when 28 is divided by l?
12
Suppose -4*c - 335 = -5*z, -4*z - 7*c + 4*c = -237. Calculate the remainder when 70 is divided by z.
7
Suppose -3*r = -4*f + 20 - 57, 0 = 4*r - 3*f - 40. Let k(z) = 2*z**2 - 13*z - 20. Calculate the remainder when k(9) is divided by r.
4
Let s = 688 + -574. What is the remainder when s is divided by 14?
2
Suppose 5*m - 55 = -3*b, 2*b - 2*m - m - 62 = 0. Let x(p) = 6*p - 5. Calculate the remainder when b is divided by x(2).
4
Let l(f) = -2*f - 1. Let n be l(2). Let k(b) = -5*b + 3. Let y = 214 + -204. Calculate the remainder when k(n) is divided by y.
8
Suppose 0*f = -3*f - 12. Let r be (1 + 0)*(f - -3). Let q(o) = -49*o - 3. Calculate the remainder when q(r) is divided by 10.
6
Let g be (-4)/6 + (-1102)/3. Let d = g + 570. Suppose -v = 2*v + 5*q - d, -5*v - 4*q = -341. Calculate the remainder when v is divided by 35.
34
Let r = -34 + 71. Suppose r = y - 5*c, -3*c = -y + c + 34. What is the remainder when 84 is divided by y?
18
Suppose 2*u = -45 + 105. Suppose -3*k = -0*k + 3*o - 45, -3*k + 2*o + u = 0. Let c(r) = 10*r - 4. Calculate the remainder when c(5) is divided by k.
10
Let v = 5 - 0. Let i = v + 69. Suppose -o = -2*z - 17, -z + 6*z + 33 = 2*o. Calculate the remainder when i is divided by o.
17
Let u(t) = t**2 + 5*t - 3. Let l be (1/(-1) + -2)*3. Let q = l + 28. Calculate the remainder when q is divided by u(-7).
8
Let m(y) = y**2 + y. Let h(l) = 6*l**2 + l - 1. Let w(k) = h(k) - 4*m(k). What is the remainder when (-19)/38 + 189/14 is divided by w(3)?
5
Let u be (-2)/((-8)/10)*16. Suppose -u = -5*f + 15. Suppose -c + 2 = -18. What is the remainder when c is divided by f?
9
Suppose -18*j = -46 - 188. What is the remainder when j is divided by 5?
3
Suppose -3*c = -32 - 7. Suppose -w - c = -16. What is the remainder when 6 is divided by w?
0
Let d = -5 + 16. Let j be (-4)/(-3)*4/(8/(-9)). Let i = j + d. Calculate the remainder when 13 is divided by i.
3
Suppose 624 = 4*k + i - 0*i, 0 = -6*k - 5*i + 936. Calculate the remainder when k is divided by 53.
50
What is the remainder when 279 is divided by (14/8)/(-4 - (-966)/240)?
69
Calculate the remainder when 233 is divided by 20/(4 - 8)*-1.
3
Let y be 9*(-3)/(-36)*4. Suppose -10 = -5*q, 4*m = y*q - 5*q + 572. Calculate the remainder when m is divided by 29.
26
Let q(n) = 8*n - 2. Let g be (-10 + 0)/(-2) - 1. Let l be q(g). Suppose 18 = 3*x - l. Calculate the remainder when 61 is divided by x.
13
Suppose -52 - 8 = -12*j. Calculate the remainder when 10 is divided by j.
0
Suppose 0 = -j - 4, v + 3*v - 20 = 4*j. Let y be (8/(-10))/(8/(-20)). Suppose -1 = -y*u + 1. What is the remainder when u is divided by v?
0
Let k = 21 + -19. Suppose -9*s + 5 = -4*s. What is the remainder when 73 is divided by k/(-4)*(s + -77)?
35
Let j(r) = -r**2 + 13*r + 400. Calculate the remainder when j(0) is divided by 131.
7
Let h = -94 + 155. What is the remainder when h is divided by 47?
14
Suppose -4*f = 2*y - 628, 0 = f - 4*y - 211 + 36. Let p(k) = -105*k**2 + k. Let c be p(1). Let u = f + c. Calculate the remainder when u is divided by 14.
13
Let g = -96 + 96. Suppose -2*t + 4 = 8, g = 3*q + 2*t - 20. What is the remainder when 8 is divided by q?
0
Suppose -s = -j - 0*s + 38, 5*s - 62 = -2*j. Suppose 96 = 47*d - 31*d. Calculate the remainder when j is divided by (26/d)/(5/15).
10
Let t(i) = -i**2 - 17*i + 7. Let a = 100 + -88. What is the remainder when t(-12) is divided by a?
7
Let x(v) = 22*v**2 - 13. Let l be x(-3). Suppose -5*r - 70 = -l. What is the remainder when 40 is divided by r?
17
Let q = 14 - 11. Suppose 0 = -5*k - 3*v - 26, v + 4 = k - q*v. Calculate the remainder when 19 is divided by 148/28 + k/14.
4
Suppose -n = 0, -n - 21 = -5*b + 14. Let j(x) = x**2 - 6*x - 1. Calculate the remainder when b is divided by j(7).
1
Suppose -117 + 1055 = 7*x. Calculate the remainder when x is divided by 15.
14
Calculate the remainder when (422/3)/(-1)*(-45)/30 is divided by 12.
7
Let f(q) = q**3 + 9*q**2 + 5*q + 6. Calculate the remainder when f(-5) is divided by 31.
19
Let t be 64/(-96) - 14/6. Let q(r) = -r**2 + r + 1. Let c(m) = 3*m**2 - 3*m. Let g(o) = 2*c(o) + 4*q(o). Calculate the remainder when 109 is divided by g(t).
25
Suppose -4*d - 155 = -559. Suppose h + 4*h - 15 = 0, -2*h + d = 5*y. Calculate the remainder when 55 is divided by y.
17
Let y be 5 + 68 + 12/(-4). What is the remainder when 5/((-30)/18) + y + 1 is divided by 23?
22
Suppose -5*y + 10 + 15 = 0. Suppose j - 18 = -f, -2*j - 4*f = -6*f - 36. What is the remainder when j is divided by y?
3
What is the remainder when 2/(-3)*915/(-10) is divided by (-4)/5 + -6 + 1140/50?
13
Suppose 0 = 2*d + 4, 0*d - 5*d = 4*u - 134. Calculate the remainder when 250 is divided by u.
34
Suppose -3*o - 35 = -8*o. What is the remainder when o is divided by 110/38 - -7*(-20)/(-1330)?
1
Suppose 2*b - 5*o - 42 = 0, -5*b = 4*o + o - 140. Calculate the remainder when (-1653)/(-145)*((-40)/(-6) + 0) is divided by b.
24
Suppose -3 = -q + 16. Calculate the remainder when q is divided by 7.
5
Let a(g) = g**2 - 7*g + 12. Let k be a(6). Calculate the remainder when 155 is divided by ((-64)/k + 2)*6/(-2).
25
Let l = 557 - 520. What is the remainder when 216 is divided by l?
31
Suppose -61 = 14*n + 93. Let y = n + 29. Calculate the remainder when 51 is divided by y.
15
Let y(s) = -s + 13. Let m be y(13). Suppose 29 = l - o, -3*l + m*l + o + 97 = 0. What is the remainder when 100 is divided by l?
32
Suppose 5329 = 18*k + 1693. Calculate the remainder when k is divided by 41.
38
Let s(n) = 3*n + 3. Let i(b) = b**2 - 2*b + 2. Let w be i(4). Let f be s(w). Let j = -24 + f. Calculate the remainder when 26 is divided by j.
8
Suppose f + f + 4*o = 22, 5*o = -3*f + 30. Suppose 0*m - 40 = -4*h + 4*m, h + f*m = 16. What is the remainder when 32 is divided by h?
10
Suppose -3*v + 4*v + 5 = 3*f, -5*f + 4*v + 6 = 0. Let l(y) = -6*y + 234. What is the remainder when l(20) is divided by 1/f*2*29?
27
Let l(w) = w**3 - 2*w**2 + 6*w + 1. Calculate the remainder when l(4) is divided by 44.
13
Let o(n) = n**2 + 5*n - 2. Calculate the remainder when 15 is divided by o(1).
3
Suppose 0 = -2*c, -3*n + 112 = 3*c - 50. Calculate the remainder when 209 is divided by n.
47
Let a be (0 + 5)*(-84)/70. Let t = a + 19. Calculate the remainder when 49 is divided by t.
10
Let w(s) = 2*s**2 + 31*s + 12. Let j be w(-16). Let x(n) = 4*n**2 - 5*n - 3. Let z be x(-3). Let q = z + j. Calculate the remainder when q is divided by 27.
22
Let g(r) = -r**2 - 8*r - 8. Let d be g(-6). Let j(p) = 4*p - 1 + 1 - 2 - 1. What is the remainder when 23 is divided by j(d)?
10
Let p = 2 - -55. Let s = -188 + 203. Calculate the remainder when p is divided by s.
12
Let f = 32 + -32. Suppose f = 9*g - 219 + 12. What is the remainder when g is divided by 6?
5
Suppose -22 = -5*z - o - 0*o, 4*o = z - 17. What is the remainder when 17 is divided by (-4 - 1)/(z/(-10))?
7
Suppose -2*b + 4*d = -20 + 4, 2*b - 16 = 2*d. Let j = b - -37. What is the remainder when j is divided by 12?
9
Let p(n) = 4*n + 8. Let q be p(-3). What is the remainder when q/16 - (-141)/4 is divided by 9?
8
Suppose -c = 3*y - 237, 0 = -4*c + 3*y - 385 + 1288. Suppose 11*h = c + 355. What is the remainder when h is divided by 18?
17
Let w = -12 - -88. Suppose 2*z = 18 + w. Let x = z - 12. What is the remainder when x is divided by 12?
11
Let f(c) = c**3 - 8*c**2 - 9*c + 3. Let r be f(9). Suppose -3*u = -r*s + s - 105, 0 = -s. What is the remainder when u is divided by 18?
17
Let d(n) be the first derivative of -n**2 + 11*n + 15. Suppose -3*t = 3*o - 27, -4*t + 8 = o - 1. What is the remainder when o is divided by d(3)?
4
Suppose 174 = -2*a + 31*a. What is the remainder when 33 is divided by a?
3
Let h = 1141 - 1091. W