remainder when p is divided by 4 + -2 + 1 + j.
1
Suppose -3*z + 19 = 4. Let t(j) be the second derivative of j**4/4 - 7*j**3/6 + 3*j**2 + j. What is the remainder when t(z) is divided by 16?
14
Let q(u) be the first derivative of 3*u**2 + 2*u + 5. What is the remainder when 25 is divided by q(2)?
11
Let o = 375 + -251. What is the remainder when o is divided by 21?
19
Suppose 2*r - 2*x = -3*r + 50, 3*r - 31 = x. Calculate the remainder when 21 is divided by r.
9
Let n = 14 - 1. Let a = -18 - -11. Let y = n - a. What is the remainder when y is divided by 11?
9
Suppose 3*s = 17 - 5. Suppose -j = -s*j. Suppose -g - g + 4*p + 40 = j, -3*p = 4*g - 47. Calculate the remainder when 55 is divided by g.
13
Let v(f) = -f**3 + 8*f**2 - 9*f + 1. What is the remainder when 129 is divided by v(6)?
15
Calculate the remainder when 42 + -2 + 1 - 0/4 is divided by 17.
7
Let g = 58 - 39. Suppose -12*x + 10*x = -14. What is the remainder when g is divided by x?
5
Suppose 4*m = 5*m - 2*o - 28, -3*m = -2*o - 88. Let z = m - 16. Calculate the remainder when z is divided by 5.
4
Suppose 8*n - 422 + 126 = 0. What is the remainder when n is divided by 20?
17
Suppose -2 = -t + 2*t, -202 = 4*l + 3*t. Let n = l + 89. Let h = n + -27. Calculate the remainder when h is divided by 5.
3
Let v = -87 + 214. Suppose -w + 0*w = -v. Calculate the remainder when w is divided by 32.
31
Let q = -9 - -25. Suppose -3*d = -d - 280. Suppose -3*t = 3*p - 120, -p = 3*t - 6*t + d. What is the remainder when t is divided by q?
13
Let g(k) = -k**2 - 7*k - 1. Calculate the remainder when g(-4) is divided by 4.
3
Suppose -8*u = -u - 630. Calculate the remainder when u is divided by 32.
26
Calculate the remainder when 11 is divided by (1/1*2)/((-5)/(-20)).
3
Let q = -94 + 103. What is the remainder when q is divided by 2?
1
Let v(i) = i**3 - 17*i**2 + 41*i + 19. What is the remainder when v(16) is divided by 60?
59
Let b = 209 - 138. Let i = 132 - b. Calculate the remainder when i is divided by 16.
13
Let h be (-1 + 3)*50/4. Suppose n + 4 = h. Calculate the remainder when n is divided by 8.
5
Let r(u) = u**3 - 10*u**2 + 10*u - 8. Let h(t) = -t**2 + t + 1. Let j(b) = h(b) + r(b). What is the remainder when 4 is divided by j(10)?
1
Let l = -5 - -9. Suppose -i + l*i - 27 = 0. What is the remainder when 33 is divided by i?
6
Suppose 0 = i + k - 1 - 4, 4*i - 2*k = 8. Suppose i*x = 3*b - 22 - 35, 0 = b - 2*x - 20. Calculate the remainder when 51 is divided by b.
15
Let o(c) = c**3 + 7*c**2 + 2. Let j(v) = -2*v + 3. Let q be j(5). Let t be o(q). Calculate the remainder when 53 is divided by 18/(2 - t/2).
17
Let f = -13 + 23. What is the remainder when (-9)/((-1 - -2)/(-2)) is divided by f?
8
Let a(d) = 17*d**2 - 4*d + 2. What is the remainder when a(2) is divided by 16?
14
Let j(i) = i**2 - 2*i + 3. Suppose 1 = -10*s + 1071. What is the remainder when s is divided by j(6)?
26
Suppose -3*d = 2*d - 35. Let l(v) be the second derivative of v**5/20 - v**4/2 + 5*v**2/2 - 2*v. Calculate the remainder when l(d) is divided by 28.
26
Suppose 4*s + 4 = 3*n, 3*s - 10 + 2 = 5*n. Let u be 5/(-2)*(-2 + -2). Let b = s + u. What is the remainder when 17 is divided by b?
5
Suppose 0 = 2*f + 4*s - 36, -4*s = 5*f - 0*s - 66. Let o = -5 + 3. What is the remainder when f is divided by (-54)/(-15) - o/5?
2
Suppose 0 = 5*k + 25, 2*l + 4*k - 350 = -3*l. What is the remainder when l is divided by 38?
36
Suppose 14 = -2*r + 4*r. Calculate the remainder when 26 is divided by r.
5
Let a = -41 - -29. Let x be -3 - (-27)/(-6)*a. Suppose z - x = -2*z. Calculate the remainder when 32 is divided by z.
15
Suppose 3*w = -2*a + 43, 4*a - 25 = -a. Suppose 4*p - 4*g = 140, -3*p - 5*g = -43 - 22. What is the remainder when p is divided by w?
8
Let h = 3 - -3. What is the remainder when (3/h)/((-3)/(-210)) is divided by 18?
17
Suppose 2*q + 3*m = 4, -3*m + 3 = q - 5. Let b(t) = -t**2 - 5*t - 5. Let u be b(q). What is the remainder when 13 is divided by ((2 - 8) + -1)*u?
6
Let t = -4 + -10. Let o = 1 - t. What is the remainder when (-6)/(-8) - 507/(-12) is divided by o?
13
Let l(t) be the second derivative of 0 - 2*t**2 + 7/3*t**3 - 1/12*t**4 + 2*t. Calculate the remainder when l(10) is divided by 13.
10
Let y(r) = -2*r - 20. Let p be y(-10). Suppose p = 5*m + 20, -18 = 5*k + 2*m - 65. What is the remainder when k is divided by 2?
1
Let l = 23 + -10. What is the remainder when 36 is divided by l?
10
Suppose -7 = -q - 0. Suppose -6*t + 120 = -0*t. What is the remainder when t is divided by q?
6
Let m(i) = -i**3 - 14 + 43*i**2 - 51*i**2 + 3 + 5*i. Suppose -2*k - 26 = -4*k. Calculate the remainder when m(-9) is divided by k.
12
Let j(k) = -k**3 + 7*k**2 - 4*k. Let n(s) = -s**3 - 5*s**2 - 1. Calculate the remainder when n(-6) is divided by j(6).
11
Suppose -119 - 93 = -4*u. Calculate the remainder when u is divided by 11.
9
Let x = -1 + 5. Suppose 0 = 5*h + 5*u - 75, -h + x*u - 12 = -52. Let t = h + 8. Calculate the remainder when t is divided by 15.
13
Let s = 18 - 8. What is the remainder when 28 is divided by s?
8
Calculate the remainder when 158 is divided by (-6 - -11)/(1/2).
8
Suppose 2*k = -0*k + 30. Calculate the remainder when 57 is divided by 12/k*225/6.
27
Let a = -11 - -15. Let o = 112 + -98. Calculate the remainder when a/(1*2/13) is divided by o.
12
Calculate the remainder when 29 is divided by (-1)/(0 - 6/102).
12
Calculate the remainder when 5 is divided by ((-5)/2 - -1)*-2.
2
Suppose 4*j = -4*l + 12 - 0, -5*l + 4*j + 24 = 0. Suppose -l*p = -1 - 7. Calculate the remainder when 34/(-3)*(-6)/p is divided by 12.
10
Let c(a) = -3*a - 20. What is the remainder when c(-9) is divided by 5?
2
Let a = 71 + -19. What is the remainder when a is divided by 11?
8
Let o(c) = 0*c + 2*c + 6*c**2 + 3*c + 2. Let d(p) = 3*p**3 - 2*p**2 - p. Calculate the remainder when o(-3) is divided by d(2).
13
Let a(j) = j**3 + 9*j**2 + 6*j + 1. Calculate the remainder when a(-8) is divided by 11.
6
Let p(z) = -z**3 - 5*z**2 + 4. Suppose -x = 5*j - 2*x - 6, 0 = j + 5*x - 22. Calculate the remainder when p(-5) is divided by j.
0
Suppose -22 = 3*w - 5*y - 59, w - 9 = 5*y. Suppose -8 = -5*c + 3*c. What is the remainder when w is divided by c?
2
Suppose 6*b = 2*b + 12. Let z = b + 1. Let m = z + 5. Calculate the remainder when 25 is divided by m.
7
Let i = -15 + 40. Let v = -58 + 72. What is the remainder when i is divided by v?
11
Let a = 87 + 19. What is the remainder when a is divided by 27?
25
Let k(g) = -g**2 - 12*g + 1. Let d be k(-10). Let w = d - 6. What is the remainder when 56 is divided by w?
11
Suppose -5*h - 5*g = -115, 0 = 5*h - 5*g + g - 115. Calculate the remainder when h is divided by 4.
3
Let w(n) be the first derivative of n**2 - 5*n + 4. What is the remainder when w(8) is divided by 4?
3
Let p(t) = -t**3 + 7*t**2 + 5*t - 10. Calculate the remainder when p(7) is divided by (9/4)/((-1)/(-4)).
7
Let p = -45 + 91. Calculate the remainder when p is divided by 24.
22
Suppose -3*z = -28 - 5. Suppose 0*j - 4*j = -124. Calculate the remainder when j is divided by z.
9
Suppose -3*r = -2*i - 58 - 25, -23 = -r - 4*i. Calculate the remainder when 188 is divided by r.
26
Let i = -30 + 43. Suppose -4*w = 5*a - 469, 6*a - 580 = -5*w + a. Suppose -5*n + w = -2*n. Calculate the remainder when n is divided by i.
11
Let v(j) = -3*j - 14. What is the remainder when 37 is divided by v(-8)?
7
Suppose 2*t + 5 = 3*t. Let u be (-14)/(1 - (-3)/(-2)). What is the remainder when -1*8*u/(-16) is divided by t?
4
Let f = 38 - -21. Let b = -14 + 34. What is the remainder when f is divided by b?
19
Suppose 0 = 4*a + 5*d - 77, -4*a - 2*d = -0*d - 86. Calculate the remainder when 89 is divided by a.
20
Let f(g) = 31*g - 5. Let z = 8 - -1. Calculate the remainder when f(1) is divided by z.
8
Let n = 17 + -10. What is the remainder when 26 is divided by n?
5
Suppose 0 = 5*m - 2*m - 12. Let o be -1 + 7/(2 - 3). Calculate the remainder when ((-10)/4)/(4/o) is divided by m.
1
Let t be -6 + 0/(0 - 1). What is the remainder when ((-45)/t - -1)*2 is divided by 6?
5
Let c = -38 - -73. Let i = 35 + -17. Suppose -3*u + i = -u. Calculate the remainder when c is divided by u.
8
Let o = 13 - 20. Let l(j) = j**2 + 4*j - 7. Let s(y) = 6*y**2 + y. What is the remainder when l(o) is divided by 