) is divided by 4.
2
Let v(c) be the third derivative of -c**5/60 + 7*c**4/8 + 7*c**3/6 + 6*c**2. Calculate the remainder when v(17) is divided by 19.
18
Let h = -7 + 16. What is the remainder when 33 is divided by h?
6
Let d(s) = s**2 + 2*s + 6. What is the remainder when 43 is divided by d(-3)?
7
Let y(h) = -9*h**3 - h**2 - h - 1. Calculate the remainder when 47 is divided by y(-1).
7
Let a = 48 - 28. Suppose 5*x + a = 95. What is the remainder when x is divided by 9?
6
Let c = 31 - 23. Suppose -o + 31 - c = 0. Let z(r) = 7*r**3 - 2*r**2 - 3*r + 3. What is the remainder when z(2) is divided by o?
22
Suppose 3*x + 26 = 4*c, 0 = -5*x + 1 + 9. Suppose -3*y + 3*m + 37 = 4*m, 3*y + 5*m - 17 = 0. Calculate the remainder when y is divided by c.
6
Suppose 100 = 5*q + 10. What is the remainder when 53 is divided by q?
17
Let i = -1 + 5. Suppose -5*z + 46 = -i*z. Calculate the remainder when z is divided by 16.
14
Suppose -5*i + w - 8 = -73, 0 = -4*i - 4*w + 28. Calculate the remainder when ((-3)/15*2)/((-11)/1595) is divided by i.
10
Let i(r) = -r**3 - 6*r**2. Let y be i(-6). Suppose y = -2*f + 30 + 6. What is the remainder when 33 is divided by f?
15
Let v = -76 - -81. Calculate the remainder when 9 is divided by v.
4
What is the remainder when -6*(21/(-6))/7 is divided by 1?
0
Let o be (-9)/(-3)*(-5)/(-3). Suppose -5*f + 2*f + 4*l = -13, 65 = o*f + 2*l. Calculate the remainder when 41 is divided by f.
8
Let f(d) = 2*d**3 - 4*d**2 - 4. Let y be f(3). Suppose y*l - 15 = 13*l. Calculate the remainder when 28 is divided by l.
13
Suppose 3*k = -r + 3, 2*r + 5*k = k + 8. Let j(f) = -2*f**3 + 2*f - 1. What is the remainder when j(-2) is divided by r?
5
Suppose -4*l = 3*d - 60 + 5, 4*l + 5*d = 49. Let r = 12 + -10. Suppose -5*b = -w + l, r*b = -2*w + 4*b + 8. What is the remainder when w is divided by 1?
0
Suppose -z - 2*z = 12. Let h = -2 - z. Let u(w) = w**2 - 8*w + 2. Calculate the remainder when u(8) is divided by h.
0
Suppose 7*x - 4*x - 107 = -p, -5*p - 4*x = -502. What is the remainder when p is divided by 26?
20
Let j = 11 - 8. Suppose 12 = 2*v - 2*b, -v + 3 + j = 4*b. What is the remainder when v is divided by 3?
0
Suppose 0*p + p + 4*t = 7, t - 1 = -p. Let d = 4 + p. What is the remainder when 5 is divided by d?
2
Suppose 4*m + 2*q - 36 = 3*m, -3*m + 3*q = -117. Let c(k) = -k**3 + 9*k**2 - 12*k - 1. Calculate the remainder when m is divided by c(7).
12
Let l(k) = 7*k - 9. Let d(a) = a**3 + 5*a**2 + 2*a. Let h be d(-2). Calculate the remainder when l(h) is divided by 12.
11
Suppose -14*y + 69 = -11*y. Calculate the remainder when y is divided by 13.
10
Suppose 7*a = 2*a - 10. Let j be (-11*6)/(3/a). Suppose -3*d + j + 22 = 0. Calculate the remainder when d is divided by 8.
6
Let l be 24/14 + 4/14. Suppose 9 = l*h - 1. Calculate the remainder when 18 is divided by h.
3
Let m be -6*(74/4 + 3). Let l = -90 - m. What is the remainder when l is divided by 14?
11
Let v = 85 - 56. Let w = 31 + -21. Calculate the remainder when v is divided by w.
9
Let i = 57 + -44. What is the remainder when 88 is divided by i?
10
What is the remainder when ((-2)/(-10) - (-3 - -4))*-65 is divided by 14?
10
Suppose q - 16 = 4*s, -2*s = -0*s - 4*q + 22. What is the remainder when s/12 + (-229)/(-4) is divided by 12?
9
Let g be (-2 - 3/(-9))*3. Let x = -1 - g. Suppose 109 = x*w - 3*u - 79, 0 = u + 4. Calculate the remainder when w is divided by 15.
14
Let o(c) be the second derivative of c**4/6 + c**3/3 + 3*c**2/2 + c. Calculate the remainder when 19 is divided by o(-2).
5
Suppose 0 = -t + 6*t - 10. Suppose t*g - 2*h - 40 = 0, -2*h + 5*h + 20 = g. Calculate the remainder when g is divided by 11.
9
Let m(x) = 3 - 7*x - 6*x**2 + 5*x**2 - 4. What is the remainder when m(-3) is divided by 6?
5
Suppose -2*u + 7*u + 2*w + 297 = 0, -4*u + w = 235. What is the remainder when -1 - (u + 0 + -3) is divided by 21?
19
Suppose -2*i = c + 5, -2*i - 3*i - 35 = -2*c. What is the remainder when -1 + (4 - (-12 - -1)) is divided by c?
4
Suppose -z - 5 = -9. What is the remainder when 22 is divided by z?
2
Suppose -u + 0*u = -1. Let d(z) = -3*z + 9. Let f be d(-11). Let x = f - u. Calculate the remainder when x is divided by 14.
13
Let t = 108 + -96. What is the remainder when 13 is divided by t?
1
Let l(p) = -14*p + 9. Let q be l(-4). Let b = 94 - q. Suppose 75 = 5*g - 0*g. Calculate the remainder when b is divided by g.
14
Let k be (-86)/(-18) + 10/45. Suppose 0 = 4*z - k + 1. Suppose -m - 2 + 3 = 0. Calculate the remainder when m is divided by z.
0
What is the remainder when 1/2*(219 + -13) is divided by 26?
25
Suppose 57 = 5*j - g - 441, -2*g + 304 = 3*j. What is the remainder when j is divided by 34?
32
Suppose -t + 12 = x, 0 = -3*t + t - 3*x + 28. Suppose 0 = -3*b - b + c + 53, 11 = b - c. What is the remainder when b/1 - (0 - 0) is divided by t?
6
Let g be (-4)/(-2)*(0 - 2). Let s(q) = -4*q**2 - 3*q + 2. Let p be s(g). Let b = 71 + p. Calculate the remainder when b is divided by 11.
10
Let i(a) = 4*a**3 + 2*a**2 + 3*a + 2. Let w be i(-2). Let g be 2 + (-3 - 2) + 62. Let f = w + g. What is the remainder when f is divided by 11?
9
Let r(j) = -j + 6. Suppose -5*y = 33 - 38. What is the remainder when y is divided by r(5)?
0
Suppose -3*l - l + 108 = 0. Calculate the remainder when l is divided by 15.
12
Let w = 10 + -1. What is the remainder when 17 is divided by w?
8
Let c(b) = 2*b. Let g(n) = -n**3 + 4*n**2 - n + 1. Suppose -4*r = -21 + 9. Let h be g(r). What is the remainder when 41 is divided by c(h)?
13
Let n = -24 + 22. Let f(v) = v**2 - 5*v - 5. Suppose 0 = 3*l - 2*l - 2*z - 34, l - 18 = -2*z. Calculate the remainder when l is divided by f(n).
8
Suppose -2*j + 0 = -50. What is the remainder when j is divided by (-1 + 22)*16/24?
11
Let t = 10 - 5. Calculate the remainder when t is divided by 4.
1
Let n(x) = 30*x**3 - 2*x**2 + x. Calculate the remainder when n(1) is divided by (13 + -14)*(-1 - 9).
9
What is the remainder when 15 + (-4)/8*4 is divided by 5?
3
Let j be 1/1*-1 + -59. Let d = 137 + j. Calculate the remainder when d is divided by 20.
17
Calculate the remainder when 158/12 + 5/(-30) is divided by 8.
5
Suppose -7*n + g = -3*n - 132, n - 3*g - 33 = 0. What is the remainder when 160 is divided by n?
28
Calculate the remainder when 42 is divided by 46*((-14)/4 + 3)*-1.
19
Let k(d) = -d**2 + 6*d + 9. Let m be k(8). Let x(n) = -n - 2. Let z(r) = -3*r - 2. Calculate the remainder when z(-5) is divided by x(m).
3
Suppose 2*f + f = 0. Suppose 14 + 4 = l. Calculate the remainder when (6 + f)*12/l is divided by 3.
1
Let k = 1 - -7. Let m be 4*k*(4 + -3). What is the remainder when 14 is divided by 2/8 - (-248)/m?
6
Suppose -17 = -4*v + 87. Calculate the remainder when v is divided by 7.
5
Let w(s) = s**2 + s + 5. Let p be w(5). Suppose -4*k = -3*m - 70 + 12, 2*m - p = -3*k. Calculate the remainder when k is divided by 5.
3
Let s be (-9)/6*32/(-6). What is the remainder when 33 is divided by (-34)/s*(-24)/6?
16
Calculate the remainder when (-6)/15 - (-202)/5 is divided by 14.
12
Suppose 102 = 5*f - 28. What is the remainder when 76 is divided by f?
24
Let i = -36 + 46. What is the remainder when 38 is divided by i?
8
Suppose 2*l = 4*b - 10, 4*l - 4*b + 2*b = 10. Let o(m) = 2*m**2 + 3*m - 3. What is the remainder when o(-4) is divided by (-3 - -2) + l*2?
8
Let l(b) = b**2 + b + 1. Suppose -4*k - 3*j = -0*j - 23, -k + 12 = 2*j. Calculate the remainder when l(2) is divided by k.
1
Suppose 0 = -4*g, 0 = 2*c - 3*g + g. Suppose 2*b - 17 = -3*d - 1, 2*b + 12 = 4*d. Let w = d - c. What is the remainder when w is divided by 2?
0
Suppose 2*k - 6*k + 20 = 0. Let r(a) = -16*a + k*a**2 + 16*a. What is the remainder when 9 is divided by r(-1)?
4
Suppose 4*p = 2*k - 18, 0 = 3*k - 5*p + 3*p - 19. Suppose -k*c = 5 - 0. What is the remainder when 7 is divided by -3*(c + 2)/(-1)?
1
Suppose h - 2*h = x - 2, 2*x - h = 4. Suppose 4 = x*p - 0. Suppose -3*y + p*y = -2. Calculate the remainder when 4 is divided by y.
0
Let z(j) = -2*j - 8. Let w = 3 - 1. What is the remainder when z(-7) is divided by w?
0
Let c(s) = s**2 + 5*s - 8. Let y be c(-6). Let k(i) be the third derivative of -i**4/24 + i**3/3 + i**2. Calculate the remainder when k(y) is divided by 2.
0
Suppose 2*c = 6, 5 = 5*g - 5*c - 5. Suppose 20 