 + 3*j = 65. What is the remainder when 30 is divided by r?
0
Let u(r) be the first derivative of 7*r**2/2 - 2*r - 2. Let w = -84 + 132. Calculate the remainder when w is divided by u(3).
10
Suppose 0 = 3*r + 5*n - 11, 5*r - n - 15 = -6*n. Suppose -r*g - 4*s = -94, -3*g + 3*s + 68 = -100. Calculate the remainder when g is divided by 18.
17
Suppose 12*l - 9*l + 3*o - 72 = 0, o - 105 = -4*l. Calculate the remainder when 2382 is divided by l.
6
Suppose -76*v + 184*v = 68*v + 1160. Let f(r) = -5*r + 4. Let u be f(-6). Suppose -u - v = -m. Calculate the remainder when m is divided by 16.
15
Calculate the remainder when 4/7 - 78705/(-385) is divided by 68.
1
Let w(f) = 3*f + 16. Let d be w(8). Let h = 118 - d. Calculate the remainder when h is divided by 9.
6
Let b(u) = -50*u**3 - u**2 - u + 1. Let y be b(-2). Suppose 8*d - y - 1825 = 0. What is the remainder when d is divided by 70?
68
Let v = -297 - -279. Calculate the remainder when 84 is divided by (v/(-15))/(2/5).
0
Let i(k) = 188 - 3*k - 188 + 5*k**2. Let p(s) = -s**3 - 2*s**2 + 8*s + 4. What is the remainder when p(-6) is divided by i(-2)?
22
Let o = 37 + -42. Let n(b) be the third derivative of -b**5/60 - b**4/8 + 7*b**3/3 - 12*b**2. What is the remainder when 15 is divided by n(o)?
3
Let t(c) = c + 50. Suppose -5*p + 50 = -2*o, 3*o - 5*p + 58 = -7. What is the remainder when 110 is divided by t(o)?
5
Suppose -3*o - 6 = -3*m, 4*o + 0*o = -3*m + 13. Let f = 11 - -34. Let g = f - 44. Calculate the remainder when o is divided by g.
0
Let p(w) = 4*w + 53. Let t = -117 + 119. Calculate the remainder when p(-9) is divided by t.
1
Let k = 7348 + -7340. Suppose 0 = 2*f - 4 - 4, -5*f = 5*c - 85. What is the remainder when c is divided by k?
5
Suppose -6*t + 117 + 9 = 0. Suppose t = s + 15. Suppose -14*r + 8 = -s*r. What is the remainder when r is divided by 1?
0
Let g = 82 + -58. Suppose l - 57 + 8 = 0. Suppose l = -r + 143. Calculate the remainder when r is divided by g.
22
Let p(k) = 6*k**2 - 8*k - 12. Let c be p(-5). Suppose y - 137 = -2*q, 5*q - 4*y - c = 2*q. Let d = 79 - q. Calculate the remainder when 32 is divided by d.
6
Let h be ((-220)/50)/(8/(-340)). Suppose -5*d + h = 2*a, 0 = 5*a - 8*a - 4*d + 284. Suppose -3*q + 0*q + 42 = 0. What is the remainder when a is divided by q?
12
Let m(c) = 2*c**3 + c**2 + 1. Let o be -1 + (-5 - -5 - 1). Calculate the remainder when m(2) is divided by o/((-15)/10 - -1).
1
Let l be (-4)/(-42) + 1184/(-84). Suppose 3*v + 12 = 3*b, 13 - 1 = 3*b - 2*v. Calculate the remainder when (720/(-84))/(b/l) is divided by 11.
8
Suppose -64 = -2*n - 50, 158 = 3*p + 2*n. Suppose 2*o + o = 3594. What is the remainder when o is divided by p?
46
Suppose -23*q + 3330 = 81*q - 830. Calculate the remainder when 635 is divided by q.
35
Suppose 592*k - 12917 = 57531. Suppose 59 = o - 2*l - 66, 3*o - 3*l = 381. What is the remainder when o is divided by k?
10
Suppose 26*f - 18*f - 2272 = -24*f. What is the remainder when 419 is divided by f?
64
Let y = 533 - 524. What is the remainder when 6 + (1 + 39)/2 is divided by y?
8
Let v = -244 - -162. Let d = -35 - v. Let a = -535 - -547. Calculate the remainder when d is divided by a.
11
Let u(f) = -6*f**3 + 396*f**2 - f + 122. Let h = -1 - -1. Let x(j) = j + 17. Calculate the remainder when u(66) is divided by x(h).
5
Let o(t) = t**2 - 8*t - 15. Let n = 1194 - 1145. Calculate the remainder when o(15) is divided by n.
41
Suppose 0 = 4*g + 3*b + 1, 0 = -g + b - 2. What is the remainder when 80 - (4 - g/(-1)) is divided by (2 - -4)*(-50)/(-15)?
17
Let j = -1567 - -1609. What is the remainder when 154 is divided by j?
28
Suppose 0 = -11*f - 15 + 70. Let n(x) = 17*x - 77. Calculate the remainder when 11 is divided by n(f).
3
Let w = 138 + -43. Let g be (3/2)/((-10)/240). Let r = g - -42. Calculate the remainder when w is divided by r.
5
What is the remainder when 428*(-7)/(-84)*24 is divided by 42?
16
Suppose 11*j = -93 + 148. Suppose -5*t = 3*g - 148, j*g - 30*t - 195 = -28*t. What is the remainder when 613 is divided by g?
39
Suppose -15 = -8*t + 17. Suppose 5*a - 452 = 6*d - 8*d, d = -t*a + 361. What is the remainder when a is divided by 27?
9
Suppose 0 = 5*z + 40, -3*w + z = 5*z - 184. Calculate the remainder when 23829 is divided by w.
69
Let k(a) = -2*a**3 - 24*a**2 - 2*a - 19. Let y be k(-12). Suppose -9 = -y*h + 1. What is the remainder when 67 is divided by h?
1
Let h(j) = 10*j - 9. Let x be 11/((-220)/(-8))*30. Let g(s) = -3*s + 5. Calculate the remainder when h(x) is divided by g(-6).
19
Suppose -161*b = -147*b - 21882. What is the remainder when b is divided by 779?
5
Suppose b - 2*f = 613, -3*b - 4*f + 2529 - 730 = 0. Suppose 0*v + v + b = 2*d, -1512 = -5*d + 3*v. Calculate the remainder when d is divided by 16.
15
Let t = -3955 - -3975. What is the remainder when 35 is divided by t?
15
Suppose -1422 = -3*a + 4*g, -455 = 4*a - 4*g - 2355. What is the remainder when a is divided by 15?
13
Suppose -3*n - l = -846 - 457, 3*n = -3*l + 1311. What is the remainder when 26410 is divided by n?
430
Let p(d) = 31*d + 158. Calculate the remainder when 5843 is divided by p(-5).
2
Suppose 3*r + 5*s - 795 = 1988, -3*r = -4*s - 2801. What is the remainder when r is divided by 28?
7
Let t(q) = -q**2 + 4*q + 2. Let r be t(4). Let c(n) = -171*n - 5111. What is the remainder when (339/(-6))/(r/(-4)) is divided by c(-30)?
18
Let y(a) = -a**2 + 7*a + 20. Let d be y(9). Suppose j - d = 2. Suppose h - j*p = 14, -5*h - p - 85 = -239. Calculate the remainder when 59 is divided by h.
29
Suppose 4*n - 2566 = 6*y - 9*y, -y - 3217 = -5*n. Calculate the remainder when n is divided by 49.
6
Let c = 944 + -805. What is the remainder when 4307 is divided by c?
137
Let q(c) = -2*c**3 + 44*c**2 - 114*c + 25. What is the remainder when 144 is divided by q(19)?
19
Let h be ((-24)/(-9))/4*3. Suppose -h*m + 14 = 2*j, -3*j + 7 = -2. Suppose -5*p = q - 26, 0 = q - m*q - 2*p + 78. What is the remainder when q is divided by 9?
8
Let r(h) = 6*h**2 + 6*h + 19. Let m(u) = -9*u + 7. Calculate the remainder when r(-7) is divided by m(-3).
33
Let z(q) = -17*q - 41. Suppose h = 5 - 0. Suppose h*j = -3*l + 101, -3*j = -2*l - l + 69. What is the remainder when z(-7) is divided by l?
24
Suppose 12 = 4*s - 0*s. Let z = -17834 - -17856. What is the remainder when z is divided by s?
1
What is the remainder when 6719 is divided by (1007/38 - 27)*(-2 + -20)?
9
Suppose -f + 213 = 2*f. Suppose -2*b = 4*m - 226, 5*m + 2*b = 45 + 236. Suppose f = 9*l - m. What is the remainder when 41 is divided by l?
13
Let n = -4444 + 4683. Calculate the remainder when 725 is divided by n.
8
Let f(a) = a**2 + 10*a - 19. Let z = 1845 - 1858. Suppose -5*h - u + 32 = 0, -h + 3*u + 22 = -2*u. What is the remainder when f(z) is divided by h?
6
What is the remainder when ((-76)/16)/(6/(-96)) is divided by 26?
24
Let n = 12 + 4. Suppose 0 = -30*z + 23*z + 126. Suppose 0 = z*a - 37*a + 2356. Calculate the remainder when a is divided by n.
12
Let s = 45 + -47. Let n(q) = 13*q**2 - 2*q - 4. Let w be n(s). Let v = w - 33. Calculate the remainder when 54 is divided by v.
16
Let f = 1627 - 1599. Calculate the remainder when 581 is divided by f.
21
Suppose -3*o - 2 = -44. Suppose 0 = 6*h - 18 - 36. Calculate the remainder when o is divided by (h/(-6) - -1)/(12/(-120)).
4
Let q(j) = 78*j + 1389. Calculate the remainder when 5480 is divided by q(-17).
62
Let s = 2484 + -2381. What is the remainder when 444 is divided by s?
32
Suppose 96 = -3*k + 201. Let h = 233 - 164. What is the remainder when h is divided by k?
34
Suppose -2*g - 3*g = -k - 597, 3*g - 354 = 2*k. What is the remainder when g is divided by (-8 + -1)/3 + 57?
12
Let j(t) = 20 + 2*t - 20. Let l(d) = -3*d + 1. Let x(c) = -13*j(c) - 6*l(c). Calculate the remainder when x(-6) is divided by 9.
6
Let m = 113 + -110. Suppose -m*k - 42 = -5*t, 15*t - 17*t - 8 = 5*k. Calculate the remainder when 34 is divided by t.
4
Suppose -518 = -3*g + 19. Suppose -178*s - 72*s = -11500. What is the remainder when g is divided by s?
41
Let x(i) = -10*i - 2. Suppose 59*p + 1856 = 3137 + 3085. What is the remainder when p is divided by x(-4)?
36
Let n = 2561 + -2398. What is the remainder when n is divided by 53?
4
Let f(x) = 2*x - 9. Let o(h) = 5*h + 19. Let c be o(-3). Let p