t f(x) = x**2 - 5. Suppose 4 = -3*a - 11. Calculate the remainder when f(a) is divided by r(-7).
9
Calculate the remainder when 6*((-3)/6 - -2) is divided by 6.
3
Let l = -19 - -47. Suppose 2*w - 33 = -5*k, -k + 3*w = -0 - 10. Let f = 17 - k. What is the remainder when l is divided by f?
8
Let g(j) = 1 + 7*j**3 - 4*j**2 + 4*j**2. Suppose 3*x + 57 = 3*z - 0*z, 5*z + 3*x = 127. What is the remainder when z is divided by g(1)?
7
Let q(m) = -m + 10. What is the remainder when 28 is divided by q(0)?
8
Let q(n) = 12*n**2 - 6*n + 5. Calculate the remainder when q(2) is divided by 11.
8
Let z be 0/(4/(1 + 1)). Suppose 5*c - 2 - 28 = z. What is the remainder when 16 is divided by c?
4
Let b be (2/1 - 19) + -1. What is the remainder when (-3 + 0 + -7)*-4 is divided by ((-28)/(-6))/((-4)/b)?
19
Let i = 11 - -5. Suppose 4 = -3*n - 11. Let m = n + i. What is the remainder when 21 is divided by m?
10
Suppose 4*q = 2*s - 6, 4*q = -5*s - 0*s - 41. Let c(d) = -d**2 - 5*d + 7. What is the remainder when 18 is divided by c(s)?
4
Let f = -20 - -24. Suppose -u - f = -5*u. What is the remainder when 2 is divided by u?
0
Let w(l) be the third derivative of 5*l**4/24 - 2*l**3/3 + 3*l**2. Suppose -d = -2*h + 2, h = 3*d + 3*h - 18. What is the remainder when 47 is divided by w(d)?
15
Calculate the remainder when 26 is divided by ((-1)/3)/(17/(-714)).
12
Let l = -1 + 4. Suppose -7*j + l*j = 2*g - 10, -5*j + 35 = -2*g. Let o(w) = -w**3 - 3*w**2 - 2*w - 4. What is the remainder when j is divided by o(-3)?
1
Suppose -62 = -7*o + 50. Calculate the remainder when 76 is divided by o.
12
Let w be ((0/3)/(-1))/3. What is the remainder when 35 is divided by 3 - (0 - w) - -15?
17
Suppose -4*v = -2*a - 8*v + 18, -2*a + 18 = 5*v. Suppose -5*q + q + 20 = 0. Calculate the remainder when a is divided by q.
4
Suppose 362 = 4*j - 30. What is the remainder when j is divided by 25?
23
Let w(o) = -o**3 - 7*o**2 - 5*o + 6. Calculate the remainder when w(-7) is divided by 21.
20
Suppose y = 5*l + 55, 4*y = 4*l + 70 + 70. Let c be (-3)/8*-2*4. Suppose 3*k - c = 45. What is the remainder when y is divided by k?
14
Let l be (-1)/(0 + 3/(-6)). Let j(b) = -5 + b**l - 3*b - b + 2. Calculate the remainder when j(-2) is divided by 5.
4
Let x(j) = -j**2 - 10*j - 4. Let r(t) = t**3 + 6*t**2 + 6*t + 1. What is the remainder when x(-3) is divided by r(-4)?
8
Let v = 83 - 62. What is the remainder when v is divided by 12?
9
Let v = -163 + 349. Let f = v + -117. Calculate the remainder when f is divided by 18.
15
Let y(l) = 5*l + 10. Let z be 99/(-21) + 2/(-7). What is the remainder when y(0) is divided by -2 - (z + 0)*1?
1
Suppose 2*l + 268 = 3*w, -1 = -w - l + 90. Calculate the remainder when w is divided by 31.
28
Suppose 2*z + 0 = -8. Let v(b) = b**3 + 6*b**2 + 6*b. Let f be v(z). Suppose -i + 3 = -f. What is the remainder when 32 is divided by i?
10
Let g(f) = f**2 + 5. Let x(q) = -q + 4. Let v(y) = 2*g(y) - 3*x(y). Calculate the remainder when 46 is divided by v(2).
10
What is the remainder when 13 is divided by (-3 + (-7)/(-3))/((-2)/15)?
3
Let l be 3*-1 - 62/2. Calculate the remainder when 49 is divided by l*-1*(-3)/(-6).
15
Suppose -236 = -4*c - 24. Let v = -63 - -81. Calculate the remainder when c is divided by v.
17
Let s = -87 - -147. What is the remainder when s is divided by 33?
27
Suppose -15*p - 70 = -20*p. What is the remainder when 69 is divided by p?
13
Let u(i) = -i - 5. Calculate the remainder when u(-17) is divided by 7.
5
Let i = 156 - 236. Let d = -29 - i. Suppose 26 = 5*j - 3*j. Calculate the remainder when d is divided by j.
12
Let q(j) = -j**3 + 7*j**2 + 4*j + 2. What is the remainder when 118 is divided by q(7)?
28
Let o(d) = 41*d**2 + 2*d - 2. What is the remainder when o(1) is divided by (14/(-3))/((-2)/6)?
13
Let u(g) = g**2 - 12*g + 36. Calculate the remainder when 86 is divided by u(11).
11
Let x(n) = 7*n - 6. Let t be x(4). Suppose 5*z - t - 58 = 0. What is the remainder when 60 is divided by z?
12
Calculate the remainder when 82 is divided by 52/39*(84/(-2))/(-2).
26
Let o(d) be the first derivative of 2*d**3/3 + 2*d**2 + 5*d - 1. Let t be ((-2)/4)/((-1)/(-12)). Calculate the remainder when o(t) is divided by 18.
17
Let w be (3/6)/((-2)/(-80)). Let s = w + 22. Calculate the remainder when s is divided by 15.
12
Suppose 3*w = -0*w + 9. Let y = w + 0. Suppose 101 = 5*v - 2*s, v - s = y + 19. Calculate the remainder when 36 is divided by v.
17
Suppose -4*u = -0*u - 704. Suppose -22 - 191 = -5*z + g, 2*g - u = -4*z. Calculate the remainder when z is divided by 11.
10
Calculate the remainder when 350/6 - 8/6 is divided by 10.
7
Let u = 118 + -67. What is the remainder when u is divided by 18?
15
Let c(p) = p**3 + 4*p**2 - 4*p - 6. Let d(f) = f - 5. Let x be d(3). What is the remainder when (-21)/x*84/49 is divided by c(-4)?
8
Let j = 26 + -18. Let y(d) = d + 4. Suppose 0 = 2*f - 0*f - 44. Calculate the remainder when f is divided by y(j).
10
Suppose 0 = -3*g - 5*x - 7, -25 = 6*g - g + 5*x. Let y(b) = -b + 1. Suppose 0 = 2*n - 2 - 56. What is the remainder when n is divided by y(g)?
9
What is the remainder when 9/36 + 222/8 is divided by 15?
13
Let t = 208 - 115. What is the remainder when t is divided by 32?
29
Suppose 90 - 5 = 5*s. Suppose 0 = -5*a - s + 87. Calculate the remainder when 25 is divided by a.
11
Let a(r) = -r**2 + 2*r + 14. Let s = 26 + -26. What is the remainder when 52 is divided by a(s)?
10
Let k be 12/(-3) + 2 + 5. Suppose 2*m = k*o - 79, -9*m + 67 = 4*o - 4*m. Let d = o - 9. What is the remainder when 40 is divided by d?
12
Let c be 12/6 - (-1 - -1). Let y(s) = -2 + 3*s**2 - 3*s**c - s + s**2. What is the remainder when 29 is divided by y(4)?
9
Let g(r) = -r**3 - 4*r**2 - 7*r + 1. Let u be g(-6). Suppose -5*d + u = 20. Calculate the remainder when d is divided by 7.
5
Suppose 0 = -4*x + 43 + 1. Let a be ((-4)/6)/(4/(-138)). Let k = a - x. What is the remainder when 23 is divided by k?
11
Suppose -69 = -4*g - 5*o, 2*o = -2*g + 5*o + 7. What is the remainder when 12 is divided by g?
1
Let i = -190 + 366. Suppose -i + 31 = -5*x. What is the remainder when x is divided by 8?
5
Let v(r) = -4*r**3 - 3*r**2 + 3*r + 8. What is the remainder when 86 is divided by v(-2)?
20
Suppose 4*p + 4*v + 15 + 5 = 0, -p = 3*v + 15. Calculate the remainder when p - (-5)/(-2)*-2 is divided by 3.
2
Let o = 64 + -103. Let m = 77 + o. Calculate the remainder when m is divided by 10.
8
Suppose -54 = -4*r + 3*j, 83 = -7*r + 12*r + 4*j. Suppose -5*l - 5*w = 5, 2*l = 4*w + 9 + 1. What is the remainder when r is divided by (2 - l) + (2 - -1)?
3
Suppose -4*v + t = -t - 114, -5*v - 3*t = -137. What is the remainder when 73 is divided by (-6)/8 + 553/v?
16
Suppose -2*s - 12 = -4*s - 3*u, -12 = -2*s + 2*u. Calculate the remainder when 22 is divided by s.
4
Suppose 4*j = 12 + 8. Let l(p) = -5 + 13*p + 12 - 11*p. What is the remainder when l(j) is divided by 6?
5
Let s = 21 - -6. What is the remainder when ((-17)/(-2))/((-2)/(-12)) is divided by s?
24
Let c(w) = w - 4. Let g be c(6). Suppose -g*o - 6 = -36. What is the remainder when o is divided by 6?
3
Calculate the remainder when 13 is divided by (140/50)/(2/5).
6
Suppose -r - 29 = -123. What is the remainder when r is divided by 19?
18
Let c be (-16)/6*(-27)/12. Let b be (-2)/3*(-102)/4. Let n = c + b. Calculate the remainder when n is divided by 12.
11
Let l(t) be the second derivative of 2*t**3/3 + 3*t**2/2 + 2*t. Let q be l(3). Let h = -8 + q. Calculate the remainder when 13 is divided by h.
6
Let c = 7 - 13. Let k be -2*(-1 + (-9)/c). What is the remainder when (k + (-30)/(-3))*1 is divided by 5?
4
Let r = 0 + 14. Suppose -l + u = -30, 2*u + 7 = 1. Calculate the remainder when l is divided by r.
13
Let w be 12/(-6) - (0 + -1). Calculate the remainder when 2/(-4)*w*60 is divided by 11.
8
Let v = -1 + 7. Suppose 2 = -5*u + v*u. What is the remainder when (-38)/(-8) - (-1)/4 is divided by u?
1
Calculate the remainder when 13 is divided by ((-1)/(-4))/((-11)/(-308)).
6
Suppose 2*g - 2*j - 34 = 0, -5*g - 4*j + 45 + 85 = 0. Suppose 0 = c + c + 3*v - 24, 3*c = v + 14. What is the remainder when g is divided by c?
4
Suppose 58 = 2*a + 2*q, 0*a - 5*q - 145 = -5*a. What is the remainder when 113 is divided by a?
26
Suppose 104 + 48 = 4*t. L