).
7
Suppose 6*l = -2*o + l + 184, -5*o - 5*l = -460. Calculate the remainder when o is divided by 19.
16
Let i(x) = x**3 - 12*x**2 + 14*x - 1. What is the remainder when i(11) is divided by (5/10)/((-2)/(-44))?
10
Suppose -4*b + 41 - 1 = 0. Let y = 10 - 4. Calculate the remainder when b is divided by y.
4
Let y = 27 - 7. Calculate the remainder when 58 is divided by y.
18
Calculate the remainder when -5*(-12)/20*(2 - -11) is divided by 8.
7
Let a be 39/2*60/9. Let t = a - 76. Let n = -31 + t. What is the remainder when n is divided by 8?
7
Calculate the remainder when 57 is divided by (-57)/(-2) + 21/14.
27
Let l(o) = 7*o - 7. Let v(q) = -4*q + 3. Let x(p) = -3*l(p) - 5*v(p). Let k(t) = t**2 - 3*t - 7. Let c be k(5). What is the remainder when x(c) is divided by 2?
1
Let y be -7 + -6*(-2)/(-4). Suppose -4*f - 2*i = -14, -3*f - 3*i - i - 2 = 0. What is the remainder when f is divided by (4/y)/((-1)/10)?
2
Suppose 2*s = -5*d + 7, -4*d + 3 = -2*s + s. Let z(w) = w**2 - 11*w + 9. Calculate the remainder when 0/(d/1) - -16 is divided by z(11).
7
Let t = -139 - -97. Let l = t + 100. What is the remainder when l is divided by 30?
28
Suppose 3*v - 108 = -0*v. Calculate the remainder when v is divided by 13.
10
Suppose -15*h + 16 = -13*h. Calculate the remainder when 31 is divided by h.
7
Calculate the remainder when -2 + (-678)/(-9)*9/6 is divided by 38.
35
Let c = -1 - -10. Suppose t = -2*t + c. Calculate the remainder when t is divided by 2.
1
Suppose 0*g + 98 = 2*g. What is the remainder when g is divided by 17?
15
Suppose 10*n = 5*n + 130. What is the remainder when n is divided by 9?
8
Suppose 0 = 5*x - 6*x + 25. Calculate the remainder when 98 is divided by x.
23
Let j = -3 - -6. Suppose -3*u = 3*c + 6 - j, -2*c + 2 = 0. Let y = u - -14. Calculate the remainder when 35 is divided by y.
11
Let p(u) be the third derivative of u**5/12 - u**3/6 + 4*u**2. Suppose -2*k - 28 = -6*k. Calculate the remainder when p(2) is divided by k.
5
Let w(f) = 10*f - 29. What is the remainder when 254 is divided by w(8)?
50
Suppose -d + 0*d = -46. Let m = 43 - 31. Calculate the remainder when d is divided by m.
10
Suppose o - 2*d + 3 = -0, 41 = 5*o + 4*d. Suppose -104 = -9*f + o*f. Calculate the remainder when 49 is divided by f.
23
Suppose 2*k - 75 = -3*k. Let h(o) = 20*o**2 + 3*o. Calculate the remainder when h(-2) is divided by k.
14
Suppose 0 = c - 3*c - 3*q - 16, -2*c - 5*q = 12. Let x = c - -32. What is the remainder when x is divided by 11?
10
Let x = 8 + 4. Suppose 3*z = -5*a + 25, a = z - 3*z + x. Suppose 0*j + 24 = m - 2*j, -z*m - 4*j = -92. What is the remainder when 59 is divided by m?
19
Calculate the remainder when 94 is divided by 244/10 - ((-6)/5)/(-3).
22
Suppose 0 = 27*j - 30*j + 21. Calculate the remainder when 18 is divided by j.
4
Suppose m + 2*m = 0. Let y(u) = u + 18. What is the remainder when 52 is divided by y(m)?
16
Let d = -15 - -12. Calculate the remainder when 3 is divided by 1*(2 + (d - -2)).
0
Suppose 5*y - 36 = 44. What is the remainder when 61 is divided by y?
13
Let f(b) be the first derivative of b**3/3 - b**2 - 5*b + 2. Calculate the remainder when 119 is divided by f(7).
29
Let q be -18 - (0/(-1))/(-3). Let l = q - -29. What is the remainder when 31 is divided by l?
9
Calculate the remainder when (105/20)/(1/24) is divided by 32.
30
What is the remainder when (-4)/(-6) + 388/12 is divided by 18?
15
Let c = 1 - -34. Suppose u = 0, 31 = 4*g - 2*u - 45. Calculate the remainder when c is divided by g.
16
Calculate the remainder when 55 + -6 + 5 + -2 is divided by 6.
4
Suppose -6*n + 2*m + 59 = -3*n, 3*m = n - 15. Let b = 39 - n. Calculate the remainder when b is divided by 7.
4
Let r = -70 + 135. Suppose r - 5 = 3*q. Calculate the remainder when 39 is divided by q.
19
Let n(b) = -37*b + 5. Let y be n(-5). Suppose -x = -6*x + y. What is the remainder when x is divided by 13?
12
Let g(b) = -b**3 + 7*b**2 - 4*b. Let k be g(3). Let i = -8 + k. Calculate the remainder when 63 is divided by i.
15
Let u(z) = z**2 - 4*z + 9. What is the remainder when 25 is divided by u(5)?
11
Let f = -76 - -143. Calculate the remainder when f is divided by 17.
16
Let t be (42/18)/((-2)/(-6)). Let u(a) = a**2 - 5*a + 8. What is the remainder when u(t) is divided by 8?
6
Let f(j) = 2 - 4*j + 9*j + 2. Let p(n) = -10*n - 7. Let q(i) = 7*f(i) + 4*p(i). Calculate the remainder when q(-1) is divided by 3.
2
Let y be (-50)/6*(-1 + -20). Suppose 3*d = w - 54, -5*w - 2*d = 2*d - y. What is the remainder when w is divided by 14?
11
Let y(n) = n**3 - 3*n**2 - 2*n + 3. Let a be -12 + 10 - -6*1. Calculate the remainder when y(a) is divided by 3.
2
Suppose 0 = u + 2*u - 36. Let s be u/(-30) + (-17)/(-5). Let x = 0 + s. Calculate the remainder when x is divided by 2.
1
Suppose 3*s + 2*s - 20 = 0. Calculate the remainder when 10 is divided by s.
2
Let o = 10 - 8. What is the remainder when (o + -1)*(-1 + 4) is divided by 1?
0
Suppose 0 = -2*u - 4*l, 5*u - 20 = 2*u + 4*l. What is the remainder when -7*(-1 - 0)*1 is divided by u?
3
Let h be ((-1)/3)/((-3)/45). Let d(i) = i**2 + i**2 - 4 - 1 - h*i - 2*i. What is the remainder when d(6) is divided by 9?
7
Let w(g) = 8*g + 1. Suppose d - 22 + 7 = 0. What is the remainder when d is divided by w(1)?
6
Suppose -2*f + 4*a + 25 = -21, -5*f - a = -60. Calculate the remainder when 22 is divided by f.
9
Let d(c) = c**2 + c + 16. Let a = -18 + 31. Suppose g + 0*h + 2*h = 7, 4*h = g - a. Calculate the remainder when d(0) is divided by g.
7
Let c(g) = -14*g + 8. What is the remainder when c(-7) is divided by 27?
25
Calculate the remainder when 22 is divided by 2/(-6) - (-25)/3.
6
Suppose 4*p - 3*p + 22 = 0. Let b be (1*p)/(2/(-2)). Let t = 38 - b. Calculate the remainder when 62 is divided by t.
14
Let c = -94 - -131. Calculate the remainder when 108 is divided by c.
34
Suppose 2*g + 2*g + 5*q - 312 = 0, 5*g + 4*q - 399 = 0. Calculate the remainder when g is divided by (-836)/(-30) + (-8)/(-60).
27
Suppose -2*n - 29 + 213 = 0. Calculate the remainder when n is divided by 31.
30
Let m(r) = -r**2 + 7*r - 6. Let p be m(6). Calculate the remainder when 0/(-1 + p) + 2 is divided by -5 - (-4 + 3) - -5.
0
Suppose -5*h = -214 + 69. Let w(f) = 11*f - 3. What is the remainder when h is divided by w(1)?
5
Suppose 9*t - 11*t = -16. Calculate the remainder when 13 is divided by t.
5
Suppose -2*j + 11 + 1 = 0. Let t be (j/(-4))/(3/(-10)). Let a(p) = p**2 + p + 4. What is the remainder when a(t) is divided by 18?
16
Let v(l) = -7*l + 16. Calculate the remainder when v(-6) is divided by 21.
16
Let u(g) = -g**2 - 9*g. Let z be u(-9). Suppose 5*a + z*t - t - 110 = 0, 0 = -5*a + 3*t + 120. What is the remainder when a is divided by 11?
10
Suppose -17*f + 14*f + 15 = 0. What is the remainder when 22 is divided by f?
2
Suppose -a + 4*a + 9 = 0. Let i be (1/a)/((-2)/402). Suppose -5*b + i = -3. What is the remainder when b is divided by 4?
2
Let v = -4 - -9. Suppose -3*k - 4*x = -3, -4*k - 4*x + 0*x = -4. Let b = k + v. Calculate the remainder when 9 is divided by b.
3
Let c = 1017 - 1004. Let o(z) = 4*z**2 + z - 1. Calculate the remainder when o(3) is divided by c.
12
Suppose -10 = -3*i + 38. Calculate the remainder when 46 is divided by i.
14
Suppose -5*p + 3*l + 116 = 0, -28 = -2*p - 2*l + 28. Calculate the remainder when p is divided by 7.
4
Let p(s) = 6*s - 9. What is the remainder when p(5) is divided by 9?
3
Suppose -13 = -2*x + x. Let o = x + 11. What is the remainder when o is divided by 13?
11
Let n(j) = j**3 + 0*j**3 + 0*j + 3*j + j**2 - 3. Let v = 11 - 9. What is the remainder when n(v) is divided by 8?
7
Let k = 826 - 386. Suppose -o + k = 3*o. What is the remainder when o is divided by 28?
26
Let g = 76 + -64. What is the remainder when 83 is divided by g?
11
Let u(o) = -5*o**3 - 3*o**2 + 4. What is the remainder when u(-2) is divided by 17?
15
Let i = -24 - -37. Calculate the remainder when i is divided by 8.
5
Suppose g = -4*f - 22 + 188, -4*f - 3*g + 162 = 0. Let z(m) = 2*m**2 - 8*m + 5. What is the remainder when f is divided by z(5)?
12
Let f be (-1)/2 + (-42)/(-12). Suppose 95 - 35 = f*c. What is the remainder when 38 is divided by c?
18
What is the remainder when 69 is divided by (-48)/(-20)*15/2?
15
Suppose -21 = -5*l + 9. Let a = -8