er when 21 is divided by m.
5
Let t(c) be the first derivative of -c**3/3 - 7*c**2/2 + 3. Suppose -23 = -2*o + 9. Calculate the remainder when o is divided by t(-6).
4
Let b(i) = i**2 - 4*i - 1. Let f be b(5). Suppose -f*a = 3*o + 1, 2*o - 6 = 4*o + 4*a. What is the remainder when o is divided by (-5 - (-5)/(-10)*-6) + 4?
1
Let f = 77 + -9. Calculate the remainder when f is divided by 12.
8
Let m(t) = 3*t - 7. Let l be m(3). Suppose -3*c = -l*h - 124, -7*c - h = -4*c - 118. Calculate the remainder when c is divided by 11.
7
Suppose 0 = 6*m - 3*m - 21. Suppose 4*j + 48 + 5 = 3*d, -94 = -5*d + j. What is the remainder when d is divided by m?
5
Suppose -3*m - 4*u + 47 = 0, -20 = -2*m - 2*u + 5*u. What is the remainder when 24 is divided by m?
11
Let o be -8 - 1/((-2)/(-4)). Let c = o + 12. Calculate the remainder when 5 - ((-2)/1 + 1) is divided by c.
0
Suppose 3*k = 5*t - 139, -3*t + 0*k - 3*k + 69 = 0. Suppose t = 4*o - 2*o. What is the remainder when o is divided by 7?
6
Suppose -2*o - 4 = 5*d, d = -3*d - 8. Suppose 0 = c + o - 11. Calculate the remainder when 13 is divided by c.
5
Let b = -6 - -5. Let t = 17 - b. What is the remainder when 52 - 0/(-2 + 0) is divided by t?
16
Let m(p) = -p**3 - p**2 + 2*p - 3. Let t = 17 - 1. Calculate the remainder when t is divided by m(-3).
7
Suppose 12*u = 170 + 334. Calculate the remainder when 121 is divided by u.
37
Let t = 68 + -53. Calculate the remainder when t is divided by 8.
7
Let x = -63 - -94. Let q(y) = -4*y - 1. Calculate the remainder when x is divided by q(-3).
9
Let j = 2 + 1. Let f be (-260)/j*(-6)/4. What is the remainder when 4/12 + f/6 is divided by 12?
10
Suppose 2*k + 5*b = 31, k - 5*b = -2*b + 43. Suppose 30 = 9*s - 6*s. Calculate the remainder when k is divided by s.
8
Let c = -6 + 51. What is the remainder when c is divided by 25?
20
Let p = 15 - 8. What is the remainder when p is divided by (1 - ((-1)/(-1) - 3)) + -1?
1
Let l = -22 - -38. Calculate the remainder when 63 is divided by l.
15
Suppose 0*a - u = 5*a - 9, u + 7 = 3*a. Let k = 4 - a. Calculate the remainder when ((-12)/9)/(1/(-3)) is divided by k.
0
Suppose -m - 2 = -13. What is the remainder when 27 is divided by m?
5
Let d(l) = -l**3 - 7*l**2 + 6. Let m = -5 - 2. Calculate the remainder when 10 is divided by d(m).
4
Let p(j) be the first derivative of 2*j**3/3 - j**2/2 - 4*j + 1. Let k = 77 - 45. Calculate the remainder when k is divided by p(3).
10
Let s be 10*(0 - -3)/6. Suppose s*o = -3*l + 30, -4*l - 5*o = l - 40. What is the remainder when 14 is divided by l?
4
Let p(d) = -2*d + 13. Calculate the remainder when p(-13) is divided by 14.
11
Suppose -17*n - 835 = -22*n. What is the remainder when n is divided by 12?
11
Suppose 2*p + 1 = -5*y + 6*y, p - 1 = 0. Let k = -6 - -9. Calculate the remainder when y is divided by k.
0
Suppose 0 = b + 4*b + 4*o - 10, 2 = b + 3*o. Let a = -1 + -5. What is the remainder when b is divided by (2/a)/((-3)/18)?
0
Suppose -4*t - 24 = -4*a, 3*a = -3*t - 2 - 4. Suppose n - 8 - 7 = -a*f, 0 = 5*f - 5*n - 30. What is the remainder when 19 is divided by f?
5
Suppose 0 = -2*j + 49 + 107. What is the remainder when j is divided by 20?
18
Suppose 2*y + 29 = 4*g - 103, 2*g = 3*y + 74. Suppose -5*x - 2*t + 48 = 0, 2*x + t + g = 5*x. Calculate the remainder when x/35 + (-348)/(-7) is divided by 17.
16
Let z(r) be the third derivative of -r**6/120 + r**5/15 - r**3/2 + r**2. Calculate the remainder when (0 - 2/4)*-22 is divided by z(3).
5
Let f = -10 + 19. Suppose 0*l = -l + 3. Suppose d - 121 = -5*q, 95 = -0*q + l*q - 5*d. Calculate the remainder when q is divided by f.
7
Let g = 22 + -20. Calculate the remainder when (1 - -2) + 33 + g is divided by 14.
10
Let h(u) = u**3 - u**2 + 2. Let n be h(0). Suppose 2*x + o - 7 = 0, 2*x - 2 = -0*o - n*o. Suppose -16 = 2*b - 3*b. What is the remainder when b is divided by x?
4
Suppose -5*i - 211 + 560 = -w, -3*i + 212 = 2*w. What is the remainder when i is divided by 18?
16
Let w(f) = -2*f + 14. What is the remainder when 41 is divided by w(4)?
5
Let z = -29 + 41. Calculate the remainder when 46 is divided by z.
10
Suppose -4*b - y + 0 = -43, 2*y = -10. Let u = -3 + b. Suppose 5*x = -3*i + 113, -104 = -3*x - x + i. Calculate the remainder when x is divided by u.
7
What is the remainder when -21 - -22 - 61/(-1) is divided by 11?
7
Suppose 3*v = -v - 2*w + 68, -3*v = 5*w - 44. Suppose 3*u - 3 - 2 = 5*f, 4*u - v = f. Suppose -f*j + j = -3. What is the remainder when 5 is divided by j?
2
Let p(s) = -2 - 4*s + 7 + 1 + 0*s. What is the remainder when p(-7) is divided by 12?
10
Suppose -5*i + 0*r + 175 = 2*r, -5*r + 25 = 0. What is the remainder when 63 is divided by i?
30
Calculate the remainder when 46 is divided by 2/((-39)/(-18) + -2).
10
Let n(r) = -2*r - 12. Let v be n(-8). Suppose -2*q + 3*q = -5*s + 175, 0 = -2*s - v*q + 88. Calculate the remainder when s is divided by 18.
16
Suppose -l + 1 = 3*t, -l - l - 4*t = -6. Calculate the remainder when 18 is divided by l.
4
Let q(h) = -h**2 - 13*h - 15. What is the remainder when 24 is divided by q(-11)?
3
Suppose 4*n + 3*u = -n + 121, 0 = n + u - 23. What is the remainder when n is divided by 7?
5
Let f(l) = l**3 - 10*l**2 + 19*l - 6. Calculate the remainder when 177 is divided by f(8).
15
Let n = 122 + -119. What is the remainder when 10 is divided by n?
1
Suppose -2*r = -5*h - 0*r - 63, h - 3*r + 23 = 0. Let j = 7 + h. What is the remainder when 12/9 + j/(-6) is divided by 2?
0
Let o be (-5)/10*16/(-2). Suppose 0*j + 3*x + 319 = o*j, 0 = x + 1. Suppose 11 + 9 = i. What is the remainder when j is divided by i?
19
Suppose 180*h - 175*h - 140 = 0. Calculate the remainder when 79 is divided by h.
23
Let h(d) = 2*d - 1. Let b = -4 + 4. Suppose -2*r + o + 12 = 2*o, b = 5*r + 5*o - 40. What is the remainder when 13 is divided by h(r)?
6
Let d = 8 + -3. Let z be (-70)/(-10)*(-20)/(-14). Suppose z = d*h - 0*h. What is the remainder when 7 is divided by h?
1
Let y(d) = d**2 - 4*d + 3. What is the remainder when 68 is divided by y(7)?
20
Let j = 17 - 4. Calculate the remainder when 50 is divided by j.
11
Suppose -x = 4*d - 43, -2*x + 4*d - 135 = -7*x. Suppose 5*r + 0*k = 3*k + 40, 5*r = 4*k + 40. What is the remainder when x is divided by r?
7
Let g = 7 + -2. Let l(k) = k**2 + 6*k. Let n be l(-6). Suppose n*y = y - d - 42, 0 = y - g*d - 38. Calculate the remainder when y is divided by 15.
13
Let a(f) = 3*f**2 - 8*f - 20. What is the remainder when a(-6) is divided by 35?
31
Suppose -5*w - 4 = -k, -w = -k + 5 + 11. Let x = 37 - k. Calculate the remainder when 53 is divided by x.
17
Suppose 122 + 200 = 7*p. What is the remainder when p is divided by 16?
14
Let n = -30 + 45. Suppose -5*r = -2*f, -3*f = 2*r - 7*f + 16. Suppose -r*w + 18 = w. Calculate the remainder when n is divided by w.
3
Suppose -s = 5*c + 33 - 142, 0 = 2*s + 2. What is the remainder when 64 is divided by c?
20
Suppose -c = -2 - 0. Let h be ((-7)/c)/((-3)/30). Suppose -l = 3, 5*l - h = -4*g - g. What is the remainder when 18 is divided by g?
8
Let n(g) = -20*g + 3. What is the remainder when n(-2) is divided by 15?
13
Let a(c) = -c**2 + 2*c**2 - 8*c**3 - 7*c**3 - 1. Calculate the remainder when 44 is divided by a(-1).
14
Let g be 5/25 - (-88)/10. Suppose -4*w = -g*w + 10. Suppose -3*n - 5*a + 108 = 0, -4*n + 0*a + 158 = w*a. Calculate the remainder when n is divided by 21.
20
Let y(q) = -4*q + 3. Calculate the remainder when 18 is divided by y(-1).
4
Suppose s = -151 + 171. What is the remainder when 59 is divided by s?
19
Let f(p) = p**2 + p - 2. Calculate the remainder when 38 is divided by f(-4).
8
Let u(l) = l**3 - 5*l**2 + 2*l. Let d = -48 + 86. Calculate the remainder when d is divided by u(5).
8
What is the remainder when (-20)/(3*6/(-126)) is divided by 16?
12
Let g(j) = -j**2 + 7*j - 10. Let h be g(7). Let f be (3/6)/((-1)/h). Suppose -3*v + 20 = -f*n + 339, 2*v - 4 = 0. What is the remainder when n is divided by 17?
14
Suppose 6*a - 2*a = 36. What is the remainder when 44 is divided by a?
8
Let f = 18 - 10. Let z(m) = -22*m**3 - 2*m**2 - 2*m - 1. What is the remainder when z(-1) is divided by f?
5
Let v = -23 - -61. Let h = v + -11. What is the remainder when h is divided by 10?
7
Let s(t) be the second derivative of -5*t**3/6 - 3*t**2/2 - 5*