-1 = -j - 4*i - m, 37 = 2*j - 3*i. Calculate the remainder when 65 is divided by j.
10
Suppose i = -2*w + 2560, -7*w - 6 = -4*w. What is the remainder when i is divided by 17?
14
Suppose -253*n + 8398 = -234*n. What is the remainder when n is divided by 31?
8
Let t = -34856 - -34877. Calculate the remainder when 2132 is divided by t.
11
Suppose 0 = 7*z - 3*g - 2802, 3*g - 7*g = 12. Calculate the remainder when z is divided by 112.
63
Let t = -45 + -4. Let q = t - -118. Suppose -q = -v - 58. What is the remainder when 39 is divided by v?
6
Let q be -1 - (-1)/((-4)/1216). Let l = 316 + q. Calculate the remainder when 64 is divided by l.
9
Let v(n) be the second derivative of -n**4/12 + 19*n**3/3 + 3*n**2/2 - n + 2. What is the remainder when v(37) is divided by 7?
5
Let v(i) = -i**2 + 16*i + 12. Let f be v(9). Let q be -5*1/((-30)/18) - 52. Let z = q + f. What is the remainder when 128 is divided by z?
24
Let w = 54 - -93. Suppose -x = 4*o - w, o - 36 = -4*x + 12. Let c(b) = -b**2 + 4*b + 7. What is the remainder when o is divided by c(3)?
6
Let t = -47 - 43. Let n = -76 - t. Let v(d) = -d**3 + 13*d**2 + 17*d + 19. Calculate the remainder when v(n) is divided by 9.
7
Suppose 30*o + 7285 - 24695 - 34820 = 0. What is the remainder when o is divided by 16?
13
Let i(d) = -d**2 + 11*d - 2. Let t be i(10). Let x be 3/((-90)/(-6146)) + (-6)/(-45). Suppose 91 = t*z - x. Calculate the remainder when 183 is divided by z.
35
Let s = 38081 + -37878. Calculate the remainder when 4658 is divided by s.
192
Let u = 474 + -297. Let l = u - 146. What is the remainder when 113 is divided by l?
20
Suppose 52*b = -57*b + 2616. Let u(p) = 58*p + 16. What is the remainder when u(3) is divided by b?
22
Let n(s) = -s**3 + 7*s**2 - 2*s + 6. Let y = -2338 - -2344. What is the remainder when n(5) is divided by y?
4
Let i(h) = 66*h**2 + 2*h. Let m be i(-1). Suppose 3*t - 2*t = m. Suppose -5*y + t = -11. What is the remainder when y is divided by 9?
6
Let p(x) = -3*x + 3. Let w be p(0). Let q be -21 + w*(-12)/9. Calculate the remainder when (-1905)/q + (-2)/10 is divided by 20.
16
Let a = -8 - -13. Suppose -24 = a*q + 21. Calculate the remainder when 22/((-3)/q*6) is divided by 5.
1
Suppose 0 = -2*k + 20. Suppose -2*q = -12*u + k*u - 38, 33 = 2*q + 3*u. Suppose 2*b - 12 = r, -1 = 3*r - 7. What is the remainder when q is divided by b?
4
Let p = 1087 + -1075. Suppose 3*w - 5*w = -246. Let z = w - p. What is the remainder when z is divided by 28?
27
Let o be 5*(-6)/(-90)*1*27. Suppose -o*t + 3*t + 534 = 0. What is the remainder when t is divided by 18?
17
Let p = 23892 - 23818. What is the remainder when 3121 is divided by p?
13
Suppose 207*x = 209*x - 58. Suppose -x = -30*l + 121. Calculate the remainder when 60 is divided by l.
0
Suppose 2*x - 11 = -5*d, 4*x + 2 = 3*x. Suppose 0 = 10*k + d*k - 2808. Let v(s) = 9*s - 1. Calculate the remainder when k is divided by v(5).
40
Suppose h - 12*s + 11*s = 10, 0 = 4*h + 2*s - 58. Let y = 300 + h. What is the remainder when y is divided by 45?
43
Let o = 18 + 50. Let w = o + 61. Let z(v) = -6*v - 75. What is the remainder when w is divided by z(-18)?
30
Let v be (5208/155)/(1/(-5)). Let s = 178 + v. Calculate the remainder when 38 is divided by s.
8
Suppose 5*l = -2*x + 44, -16*x + 19*x - 57 = -3*l. What is the remainder when 1425 is divided by x?
14
Suppose 63 - 93 = -2*b. What is the remainder when (-9)/6 - (-177)/2 is divided by b?
12
What is the remainder when (-35)/(3 - 473/154) is divided by 15?
10
Suppose 6*w - w - 10 = 0. Suppose 3*q - 76 = -7*m + w*m, -2*m + 36 = 4*q. Let y = -1907 + 1945. What is the remainder when y is divided by m?
10
Let t(p) = p**3 - 3*p**2 + p + 1. Let d be t(3). Let z = -5 + d. Calculate the remainder when 38 is divided by -4 + 28/((-2)/z).
8
Let l(o) = 2*o**2 - 254*o - 873. What is the remainder when l(137) is divided by 11?
8
Suppose -3505 = -7*d - 3663 + 9783. What is the remainder when d is divided by 25?
0
Let u be ((-48)/30)/((-2)/20). Suppose 0 = 6*x - 2*x - u. Calculate the remainder when 10 is divided by x.
2
Suppose 5*g - 2*a - 30 = 0, 2*a - 5*a - 35 = -5*g. Let b(z) = -2*z - 10 - 416*z**3 + 2*z + 4*z**2 + 417*z**3. What is the remainder when b(g) is divided by 40?
38
Let s be (-6)/4*2552/(-12). Suppose -25*b = -106 - s. Calculate the remainder when (1 - (-25)/2)*2 is divided by b.
10
Suppose -m = -1, 9*k - 5*k - 5*m = 35. Suppose -k + 80 = c. Suppose 0 = -3*f - 5*r + 313, 2*f - 5*r = 287 - c. What is the remainder when f is divided by 27?
25
Let w(m) = -34*m - 8. Let h be w(7). Let d be ((-2)/12 + 11/(-33))*346. Let f = d - h. What is the remainder when f is divided by 19?
16
Suppose -5*d + 6 = -b + 202, 2*b - d - 374 = 0. What is the remainder when 259 is divided by b?
73
Let x be (-6)/(-7)*(-7 + (7 - -21)). Let w = 52 - x. Calculate the remainder when w is divided by 5.
4
Let i(p) = p**2 - 4*p + 7. Let s be i(3). Suppose -2*z - 6 = -4*z + s*c, 5*z + 5*c = 0. Let o(h) = -h + 5. Calculate the remainder when o(0) is divided by z.
0
Suppose -69*s + 50409 = -35358. Calculate the remainder when s is divided by 25.
18
Suppose 140*f + 32*f = 1720. Let l = -14 + 71. Suppose -i - l = -2*i. What is the remainder when i is divided by f?
7
Suppose 0 = -18*z + 7298 + 19018. Calculate the remainder when z is divided by 475.
37
Let v(m) be the first derivative of 11*m**3 + m**2/2 + 2*m - 945. Suppose 20 = -4*g, 4*a - 6*g + 2*g = 16. What is the remainder when 130 is divided by v(a)?
28
Suppose -13*j - 22 + 9 = 0. Let y be (0/3)/3*1. Calculate the remainder when (y + j)/((-1)/79) is divided by 16.
15
Suppose -128 = 10*b - 14*b. Suppose 16 + b = 8*f. Calculate the remainder when 106 is divided by (-8)/f - -1 - 492/(-18).
25
Let f(i) = -90*i - 143. Calculate the remainder when 1923 is divided by f(-2).
36
Let p(s) = 19 - 7*s**2 + 3*s**2 - 30 - 3*s. Let k be p(-5). Let i = 140 + k. Calculate the remainder when i is divided by 23.
21
Let x(g) = 18 + 3*g**3 + 0*g**3 + 14*g + 8*g**2 - 2*g**3 + 8*g**2 + 43. Calculate the remainder when x(-11) is divided by 103.
100
Suppose l - 2*c - 35 = 0, -5*l - c = c - 151. Suppose -5*u + 69 = 184. Let g = u - -40. What is the remainder when l is divided by g?
14
What is the remainder when 379 is divided by 4 - ((-8)/(-320)*4 + 3663/(-30))?
1
Let g = 142 + -130. Calculate the remainder when 62 is divided by (-18)/30 + (-8)/(-5) + g.
10
Let n = 344 + 492. Suppose 8*t - n + 228 = 0. What is the remainder when t is divided by 16?
12
Let t be (-182)/(-3)*(-3)/(-2). Let l = t - 50. What is the remainder when l is divided by 25 - 2/2*24/6?
20
Let t = -695 + 785. Let c(u) = 2*u**3 - 23*u**2 - 12*u + 7. What is the remainder when t is divided by c(12)?
6
Let r(b) = -b**3 + 3*b**2 + 3*b - 3. Suppose 3*o - 8*o = 15. Let h(a) = -4*a - 9. Let z be h(o). Calculate the remainder when r(z) is divided by 4.
2
Let w = 42 - 15. Calculate the remainder when w is divided by (0 - 80/(-10)) + (1 - -2).
5
Suppose -302*v - 10472 = -421*v. What is the remainder when v is divided by 45?
43
Let g(r) = 5*r - 11. Let d be g(14). Suppose -d = -10*k + 21. Suppose -2*q = k - 52. What is the remainder when q is divided by 4?
2
Let t = 11192 - 11163. What is the remainder when t is divided by 10?
9
Let w(d) = 49*d**2 + d + 22. Let y = 1 - 3. Let o = 9 - y. Calculate the remainder when w(1) is divided by o.
6
Let u(w) = -43*w**3 - w**2 - 1 + 42*w**3 + 4. Let l be u(-2). Suppose 2*y + 70 = l*y. Calculate the remainder when 151 is divided by y.
11
Suppose -102*n + 36 = -99*n. Suppose 4*s - n - 16 = 0. Suppose -j = -4, -4*m + 5*j + 68 = s*j. What is the remainder when 42 is divided by m?
12
Let y be (-9)/(-6) - ((-3)/(-2) - 1). Let u(i) = 2*i + 2. Calculate the remainder when 4 - (-130)/4 - y/(-2) is divided by u(6).
9
Let x be ((-3)/12)/((-10)/40). What is the remainder when 46 is divided by ((-1)/x)/(((-6)/(-7))/(-6))?
4
Suppose h = -b - 139, 323 = -4*b + 4*h - 249. Let i = -52 - b. Calculate the remainder when i is divided by 18.
17
Let p(d) = -d**2 + 29*d + 243. Calculate the remainder when 1682 is divided by p(35).
32
Let y = 6572 + -6529. Calculate the remainder when y is divided by 15.
13
Let j(d) = 4*d**3 - 360*d**2 + 3*d + 57. Calculate the remainder when j(90) is divided by 53.
9
Let b = 0 - 13. Let 