. Suppose 3 = 2*r + h - 2, 0 = 2*r + 5*h + x. Calculate the remainder when 14 is divided by r.
4
Suppose 110 = g - 5*p, -4*p = 4 + 16. Suppose -b - n = -10 - 59, -b = -2*n - 63. Suppose 0 = -3*v - 1 + b. Calculate the remainder when g is divided by v.
19
Let k(o) be the first derivative of o**3/3 + 2*o**2 - 11*o + 1. Let f be k(-8). Let t = f - 15. What is the remainder when t is divided by 4?
2
What is the remainder when 22 is divided by 30*2/2*2/5?
10
Let b(f) be the second derivative of -7*f**3/3 - 3*f**2/2 - 2*f. What is the remainder when b(-4) is divided by 14?
11
Let h(a) = 3*a**2 - 2. Let b be h(-2). Let j = b - -9. Calculate the remainder when 75 is divided by j.
18
Suppose c - 2*w = 2 - 12, -w = -4*c - 26. Let t be (-20)/c - (-2)/3. Suppose t*f - 4 = 2*f. What is the remainder when 2 is divided by f?
0
Let h(w) = -w + 3. Let f be h(-5). Suppose -f = 3*j + 5*q, 2*j + q = j. Let z(t) = -t**2 + 6*t - 6. What is the remainder when j is divided by z(4)?
0
Let q(l) = -4*l. What is the remainder when (-4)/16 - 137/(-4) is divided by q(-3)?
10
Let r(a) = a**2 - 3*a + 2. Let f be r(2). Suppose -5*v - 4*w = -31, f*v = 4*v - 2*w - 4. Calculate the remainder when 10 is divided by v.
1
Suppose -l - 2*l + 141 = 0. Calculate the remainder when l is divided by 25.
22
Suppose 2*v = -0*k - 5*k + 28, -17 = -3*v + 5*k. Suppose x - 11 = 4. Calculate the remainder when x is divided by v.
6
Let b = -3 + 2. Let k be 1 - (-2 + 1 + b). Suppose 3*c - 1 - 2 = -k*q, 0 = 3*c + 15. Calculate the remainder when 10 is divided by q.
4
Let r(d) = d**3 - 4*d**2 + 4*d + 3. Let g be 4*27/6 - 2. Suppose 0*s = -2*i - 2*s + 16, 3*i = -s + g. Calculate the remainder when r(i) is divided by 10.
9
Suppose -4*v + 58 = 2*r - 52, 2*r - 84 = -3*v. Suppose -137 + 652 = 5*s. What is the remainder when s is divided by v?
25
Let y(m) be the third derivative of m**4/8 - 2*m**3/3 + 3*m**2. Let k be y(3). Calculate the remainder when k*2*29/5 is divided by 20.
18
Let x = 38 + 12. Suppose -3*s = 2*s - 85. Calculate the remainder when x is divided by s.
16
Let y be ((-2)/(-3))/(1/3). Calculate the remainder when -2 - -3 - y - -21 is divided by (10 - -1) + 1 + -1.
9
Calculate the remainder when 54 is divided by (0 - -16) + 1 + -3.
12
Let o(u) = -u**3 + 14*u**2 + 8. What is the remainder when 39 is divided by o(14)?
7
Suppose 5*m = -4*z + 712, 0*m = 4*m. Calculate the remainder when z is divided by 15.
13
Let u = 30 + -1. What is the remainder when 85 is divided by u?
27
Let r = 11 + -9. What is the remainder when r is divided by 2?
0
Suppose -3*m = m - 16. Suppose m*j = 9*j - 55. Calculate the remainder when 31 is divided by j.
9
Suppose 5*c - 59 = 41. What is the remainder when 75 is divided by c?
15
Let o = 28 - 22. Calculate the remainder when 17 is divided by o.
5
Let g = 158 - 65. Suppose 0 = -5*f + g - 23. Let k = 18 + -10. What is the remainder when f is divided by k?
6
Suppose -58 - 5 = -3*z. Suppose -4*g + 4*p + p = -z, p = 3*g - 13. What is the remainder when g is divided by 3?
1
Let s be 1*-6 - (0 - -1). Let h(j) = 3*j + 9. Let a be h(s). What is the remainder when -2 + a*(-33)/6 is divided by 22?
20
Let z(q) = -q**3 - q**2. Let g be z(0). Suppose g = -2*h + 3*h - 5. What is the remainder when h is divided by 3?
2
Let b(g) = 4*g**2 + 3. What is the remainder when 54 is divided by b(-2)?
16
Suppose 2*t - 6 = -2. Suppose 3*i = -2*d + 141, 0 = 4*i - 0*d + t*d - 188. Suppose 48 = -0*a + 4*a. Calculate the remainder when i is divided by a.
11
Let f(w) = 2*w**2 - 2*w - 1. Let g = -16 + 7. Calculate the remainder when f(4) is divided by ((-9)/6)/(g/48).
7
Let v = 51 - 2. What is the remainder when v is divided by 13?
10
Let f(g) = -54*g - 5. What is the remainder when f(-2) is divided by 26?
25
Let t be (-21)/(-3) + (0 - -3). Let i = 41 + t. What is the remainder when i is divided by 13?
12
Let f = 5 + -5. Suppose -2*h = q + h - 28, f = 5*h - 20. Suppose -8 = -4*j + q. Calculate the remainder when 10 is divided by j.
4
Let y be 53/4 - (-15)/20. Let t = 30 - y. Suppose o + t = 2*o. Calculate the remainder when 46 is divided by o.
14
Let h = -6 - -6. Suppose h = 7*t - 6*t - 16. Calculate the remainder when 31 is divided by t.
15
Let n = 15 + 9. What is the remainder when 45 is divided by n?
21
Let v(h) = 12*h + 1. Let q be (-7)/((-2)/(-8)*-2). Suppose n = 3*n - q. Calculate the remainder when v(1) is divided by n.
6
Suppose 0 = -5*i + 234 - 89. Suppose -3*l = p + 2*l - i, -2*p - 17 = -5*l. What is the remainder when 13 is divided by p?
1
Suppose -f + 4*r = -0*r - 32, 5*r + 49 = 2*f. Let w = f + -7. Calculate the remainder when 8 is divided by w.
3
Let s(q) = -q**3 + q**2 + 5*q + 4. What is the remainder when 98 is divided by s(-3)?
23
Suppose -2 = 2*k - 16. What is the remainder when k is divided by (-15)/10*(-8)/6?
1
Let s = -12 - -20. Suppose 587 = 4*m + 199. Calculate the remainder when 25 is divided by s/44 + m/11.
7
Suppose 6*i - 2*i - 250 = -2*k, k = 5*i - 309. Suppose a = 2*o + 2*a - 72, -i = -2*o + 4*a. Calculate the remainder when o is divided by 12.
11
Suppose -4*r - r = -4*j + 73, -2*r = 10. Calculate the remainder when 45 is divided by j.
9
Let a(x) = 2*x**2 + 4*x - 3*x**2 + 2*x**2 + 5. What is the remainder when a(-8) is divided by 19?
18
Suppose 0 = 5*j + 2*y - 71, -4*j + 24 + 16 = -4*y. Calculate the remainder when 38 is divided by j.
12
Suppose 2*w - 10 = -m, 0*m = 3*m + 2*w - 34. Calculate the remainder when 40 is divided by m.
4
Let t(i) = -i**3 + 8*i**2 - 9*i + 2. Suppose y - 4*y + 18 = 0. Let o(b) = 15*b - 3. What is the remainder when o(4) is divided by t(y)?
17
Let a(q) = q + 20. Calculate the remainder when 51 is divided by a(6).
25
Suppose -4*r - z - 4*z + 97 = 0, -96 = -3*r + 4*z. Suppose 5*m - 47 = 2*g + r, 2*g = -3*m + 61. Calculate the remainder when 48 is divided by m.
14
Let k = -58 + -25. Suppose 0 = -5*m + 3*x - 182 - 81, 0 = 4*m - 3*x + 211. Let h = m - k. Calculate the remainder when h is divided by 11.
9
Suppose -44 + 4 = -4*v. Suppose 2*f - 54 = -f. What is the remainder when f is divided by v?
8
Let j = -14 + 18. Let v = -47 - -73. Suppose 22 = j*x - v. Calculate the remainder when 35 is divided by x.
11
Suppose 5*w + 4*t = 26, t - 5*t = -4*w - 8. Calculate the remainder when (-194)/(-4) + (-1)/w is divided by 17.
14
Let g be 2 - 0 - -1*1. Let f(n) = n**3 - 6*n**2 - 6*n - 7. Let l be f(7). Suppose l = s - g*s + 48. What is the remainder when s is divided by 13?
11
Suppose -174*p + 193 = -173*p. Calculate the remainder when p is divided by 28.
25
Let a(n) = -n**3 - 4*n**2 + 5*n. Let o be a(-5). Suppose 38 = 3*b - 2*f, 43 = 3*b - o*b - f. Calculate the remainder when 63 is divided by b.
15
Let m be 15/(-2)*6/3. Let q = 15 - m. What is the remainder when q is divided by 16?
14
Suppose 0 = -k - 3 - 6. What is the remainder when 28 + (k/(-3) - 4) is divided by 15?
12
Suppose 46 = 16*a - 2. What is the remainder when a is divided by 2?
1
Let f(j) = 2*j - 6. Calculate the remainder when 17 is divided by f(6).
5
Suppose -5*i = -i + 64. Let s = 26 + i. Calculate the remainder when 58/(-4)*(-2)/1 is divided by s.
9
Let x = 13 - 4. Calculate the remainder when 32 is divided by x.
5
Let b(w) be the first derivative of 5*w**2 + 2*w + 1. Suppose 0 = 8*g - 9*g + 2*v + 7, 60 = 5*g - 5*v. What is the remainder when b(3) is divided by g?
15
Suppose -1 = -o - 3*d, -3*o + 4 = d - 7. Suppose w - o = -w. Suppose 0 = -w*b + 3*b - 5. Calculate the remainder when 14 is divided by b.
4
Let o = -26 - -40. Calculate the remainder when 41 is divided by o.
13
Suppose -2*a = -4*o + 124, 5 = 4*o + 3*a - 99. Calculate the remainder when o is divided by 10.
9
Let b(n) = 17*n**2 - 2*n - 1. What is the remainder when b(-1) is divided by 10?
8
Suppose -i + 0 = -3. Let p be 17/(-1 + i/6). Calculate the remainder when (p/8)/((-3)/24) is divided by 12.
10
Suppose -3*x + 47 = -79. Let b(q) = q**3 + 3*q**2 - 4*q + 3. Calculate the remainder when x is divided by b(2).
12
Let k = -8 - -10. Suppose -26 = -k*n + 16. Calculate the remainder when 102 is divided by n.
18
Suppose -15 = -4*l + l. What is the remainder when 4/(-6) - (-178)/6 is divided by 371/35 - 3/l?
9
Suppose 0 = -4*d + 48 + 28. Suppose -4*f + 2*x = 18, f - 3*x = -f - d. Let w = 7 - f. What is the remainder when 17 is divided by