by u.
17
Let b(x) be the first derivative of 5*x**2/2 - 9*x + 19. Let y = -2 + 4. What is the remainder when y is divided by b(2)?
0
Suppose -4*f = 5*o - 62, -46 = -3*o - o - 2*f. Suppose -3*h + 7 = 5*m - o, 26 = 2*h - 4*m. What is the remainder when 23 is divided by h?
5
Let a(f) = -f**2 - 17*f - 20. Let u be a(-14). Let v = u + 59. What is the remainder when v is divided by 14?
11
Suppose x - 45 = -2*g, 0 = -2*g - 4 + 2. What is the remainder when x is divided by 8?
7
Suppose 2*p - 64 = -2*p. Let o(g) = -g**2 - 24*g + 16. Let v be o(-12). Let z = 191 - v. What is the remainder when z is divided by p?
15
Suppose -3*d + 3*r + 61 - 4 = 0, r - 49 = -3*d. Suppose -16*n - 13 = -d*n. Suppose 0 = 4*z + 70 - 262. Calculate the remainder when z is divided by n.
9
Let p(d) = -d**2 - 3*d + 7. Let o be p(-5). Calculate the remainder when 55 is divided by o/(4/((-448)/12)*2).
13
Let r(h) = -h**2 + 2*h + 20. Let j be r(5). Suppose 0 = j*y - 2*y - 414. What is the remainder when y is divided by 20?
18
Let j(p) = -p**3 - 13*p**2 + 16*p + 30. Let w be j(-14). Suppose -w*u + 9 = -u - 5*z, 4*u - 2*z = 72. What is the remainder when 36 is divided by u?
17
Suppose 333 + 55 = 4*n. Let t = n - 63. Calculate the remainder when t is divided by 7.
6
Let w(f) = 103*f + 2. Let j be w(1). Let b be ((-24)/14)/((-8)/28). What is the remainder when 28 is divided by j/(-28)*(-16)/b?
8
Let w(i) = -70*i + 7. Let o(u) = -u**2 - 11*u - 30. Let r be o(-7). Calculate the remainder when w(r) is divided by 15.
12
Suppose -7*z - 2*z = -207. Calculate the remainder when 182 is divided by z.
21
Let p(f) = f**2 - 9*f - 13. Let h be (-18)/(-4)*(3 - 1). Let x(t) = 6*t - 3. What is the remainder when x(h) is divided by p(11)?
6
Let y be 3 + 1 + (17 - 15). Suppose -7*v = -4*v - y. Calculate the remainder when 17 is divided by v/2*(12 - 7).
2
Suppose -j = -2*d - 5*j + 54, -93 = -4*d - 5*j. What is the remainder when d is divided by 10?
7
Let m(h) = -3 + 7*h**2 + 2 - h**2. What is the remainder when 5*(3 - 9/15) is divided by m(1)?
2
Let h = 1 - -12. Suppose -h*g - 72 = -17*g. What is the remainder when ((-4)/6)/(g/(-2673)) is divided by 25?
24
Let n = -192 + 356. What is the remainder when n is divided by 55?
54
Let f = 2370 - 2333. Calculate the remainder when 849 is divided by f.
35
Let v = 11 + -6. What is the remainder when 5 - 9 - -22 - 1 is divided by v?
2
Suppose 5*r = 3*t + 93 + 16, -r + 3*t = -17. What is the remainder when 72 is divided by r?
3
Suppose 0 = -d - v + 286, -3*d - 3*v - 1446 = -8*d. Suppose 0*b + d = 6*b. Calculate the remainder when 190 is divided by b.
46
Suppose -2*a = w - 7*a - 15, 6 = -w - 2*a. Suppose 0 = -4*o + m, w + 1 = -3*o + m. Suppose -18 + o = -q. Calculate the remainder when 49 is divided by q.
15
Suppose -5*t = -t - 92. Calculate the remainder when ((-178)/2)/(4/(-2)) + (-101)/(-202) is divided by t.
22
What is the remainder when -4 + ((-4)/3)/(48/(-8136)) is divided by 32?
30
Suppose -5*p + 2*c = 4, -5*c = p + 3*p - 10. Suppose p = -2*t - 0*t + 12. What is the remainder when 15 is divided by t?
3
Let s = -1203 - -1353. What is the remainder when s is divided by 16?
6
What is the remainder when 132 is divided by (1/6)/((118/276)/59)?
17
Suppose 3*i - 4*i - 7 = 0. Let r(q) = q**3 + 8*q**2 + 5*q - 10. Let b be r(i). Suppose 3*g = 2 + b. What is the remainder when 7 is divided by g?
1
Let g(q) = q**3 + 15*q**2 + 13*q + 16. What is the remainder when 417 is divided by g(-14)?
27
Let z = -37 + 41. Suppose 0 = 3*f - 0*j + z*j - 80, -f - 2*j + 30 = 0. What is the remainder when 59 is divided by f?
19
Let n(a) = 22*a. Let x be n(-1). Let t = -6 - x. What is the remainder when 79 is divided by t?
15
Let o(l) = -6*l + 6*l - 4*l - 38. What is the remainder when 197 is divided by o(-22)?
47
Let p = 32 + -22. Suppose -w = 3*l - 0 - 20, -5*l - 7 = -2*w. What is the remainder when (p/(-3))/(13/(-117)) is divided by w?
8
Suppose -3*z = 5*i - 227, 5*i + 49 = -3*z + 4*z. Let v = z - 3. What is the remainder when v is divided by 1/(90/(-46) + 2)?
20
Suppose 5*s - 18 = 5*l + 7, 2*l = 5*s + 5. Calculate the remainder when 68/5 - l/25 is divided by 5.
4
What is the remainder when 68 is divided by (-37)/(-222) + (-143)/(-6)?
20
Calculate the remainder when (48/(-14))/(12/(-224)) is divided by 35.
29
What is the remainder when 116 is divided by 14 + 14/21*-6?
6
Let v = -7 - -16. Let i(j) = -2*j**3 - 5*j**2 + 4*j + 2. Calculate the remainder when i(-4) is divided by v.
7
Let o(u) = 3*u**2 - 1. Suppose -6*y + 2 = -5*y. Let j = 16 + -9. What is the remainder when o(y) is divided by j?
4
Let p = 24 + -12. Let o(x) = -12*x - 3. Let z(y) = 6*y + 26. Let a be z(-5). What is the remainder when o(a) is divided by p?
9
Let d be (-117)/(-7) - 2/(-7). Suppose 18*h - d = 17*h. What is the remainder when 67 is divided by h?
16
Suppose 3*b = k + 34, -4*b = 5*k - 130 + 53. Suppose 0 = 5*t - 2 - b. Calculate the remainder when 6 is divided by t.
0
Calculate the remainder when 99 is divided by (2 - 102/48)*-8*1.
0
Let x(j) = j**2 + 4*j + 6. Let h be x(-2). Suppose 2*l - q = -2*l + 375, 0 = h*q - 2. Calculate the remainder when l is divided by 16.
14
Suppose -4*n - n + 3*w + 80 = 0, -5*w - 16 = -n. Calculate the remainder when (-49 + 4 + -2)/((-1)/2) is divided by n.
14
Suppose 3*q - 9 = -3. Let w(r) = -r**2 + 10*r - 11. Calculate the remainder when 46/4 - (-1)/q is divided by w(8).
2
Let d(g) = 9*g - 22. Suppose -4*u + 29 = c, -4*c = 3*u + 11 - 49. What is the remainder when 286 is divided by d(u)?
30
Let t = 16 + -3. What is the remainder when (-2)/(2/(-2)*(-5)/(-90)) is divided by t?
10
Let k = 47 + -32. Calculate the remainder when (-1 + 2)/(2/146) is divided by k.
13
Suppose r - 15 = 5*n, -10 = -0*n + 2*n. Let c be (-4)/r + 24/15. Let m(l) = 4*l**2 - 2*l + 4. Calculate the remainder when 61 is divided by m(c).
13
Let a = -13 + 15. Let t = 23 - 15. Suppose -a*y + 4*u = 0, 6 = 3*y + u - t. Calculate the remainder when 9 is divided by y.
1
Let a = 65 + -46. Calculate the remainder when (-33)/(-13)*13 - (-3)/1 is divided by a.
17
Suppose 0*r - 26 = -r. Let x(d) = d**2 - 18*d + 3. Let y be x(18). Suppose -28 + 175 = y*h. What is the remainder when h is divided by r?
23
Calculate the remainder when 102 - (-1)/(20/6 - 3) is divided by 12.
9
Let g = 19 - 15. Let f(r) = 5*r - 4. What is the remainder when 30 is divided by f(g)?
14
Suppose 0 = 5*x - 25, -3*u + 4*x - 36 = -1. Let r(g) = -g**2 - 7*g - 1. Let c be r(u). Suppose -5 = -2*s + c. What is the remainder when 11 is divided by s?
4
Suppose 7*p + 66 = 1921. What is the remainder when p is divided by 38?
37
Suppose -3*r = -4*d + 211, -5*r + 158 + 97 = 5*d. What is the remainder when d is divided by 36?
16
Let j(u) = -u - 10. Let i be j(-10). Let o(q) = -q - 192. Let y be o(i). What is the remainder when 7 is divided by 2/14 - y/28?
0
Let w(v) = -2*v**2 + 2*v - 12. Let b be w(5). Let p = 85 + b. Calculate the remainder when 21 is divided by 2/(3/p*2).
10
Let a(i) = 2*i - 8. Let z be a(5). Suppose z*n - 1 = 23. What is the remainder when 23 + 2/(-4)*2 is divided by n?
10
Calculate the remainder when (79 - 10 - -6) + 1*-2 is divided by 20.
13
Let a(n) = n**3 + 7*n**2 - 9*n + 2. Let j be 4/(-6)*6*2. Let r be a(j). Let l = 77 + r. What is the remainder when l is divided by 22?
21
Let a(j) be the second derivative of -j**5/5 - j**4/12 - 2*j**2 + 3*j. Let t be a(-2). What is the remainder when 18/t + (-807)/(-12) is divided by 14?
12
Let g = -13 + 26. Calculate the remainder when g is divided by (-1 + 11)/(2 - 1).
3
Let s = 298 + -258. Suppose n + n - 42 = 0. What is the remainder when s is divided by n?
19
Suppose 0 = -96*x + 102*x - 84. What is the remainder when 97 is divided by x?
13
Suppose -k - 2066 = 5*c - 6987, -5*c = 4*k - 4909. What is the remainder when c is divided by 76?
73
Let r be -1*253/(-1 - -2). Let t = 431 + r. Calculate the remainder when t is divided by 36.
34
Let a(u) = -u**2 + 11*u + 8. Let k(y) = y**2 - y + 1. Let z(g) = -a(g) - 2*k(g). Let b be z(-8). Calculate the remainder when (-2 - b)/1 - -53 is divided by 18.
17
Suppose 14*s = 23*s - 693. Calculate the remainder when s is divided by 28.
21
Let p = 50 + -41. Suppose -15*c + 36 = -p*c. What is the remainder when 71 is divided by c?
5
Let g = -28 + 88. Let p = 67 - g. What