the remainder when 309 is divided by 13 + r/(-5 + 6).
9
Let k = -1 - 16. What is the remainder when (-17 - -13)/((-1)/k*-2) is divided by (16/(-12))/((-3)/27)?
10
Suppose 35 = 66*z - 61*z, 4*w - 134 = -2*z. Calculate the remainder when 785 is divided by w.
5
Suppose 5*n - 2*d = 2*d + 30, -4*d = 5*n + 10. Let u(k) = 3*k - 4. Let m be u(n). Suppose -3*w + m = -4. What is the remainder when 6 is divided by w?
0
Suppose 833 = -8*n - 1423. Let w be 6/8 - (n/8 - -6). Suppose -182*j + w = -180*j. Calculate the remainder when j is divided by 5.
0
Let d = 232 + -191. Let z = -211 - -454. What is the remainder when z is divided by d?
38
Let y = -145 - -187. Suppose y*r = 17*r + 650. Calculate the remainder when r is divided by 16.
10
Let u = -248 - -174. Let y = -66 - u. Calculate the remainder when 3 - (-11 - 3 - 3) is divided by y.
4
Let w = -434482 + 434490. Let s be -1*5/(-2)*-4. What is the remainder when (6 - 1)*(-52)/s is divided by w?
2
Let m(c) = 2*c**2 + 118*c - 93. What is the remainder when 2428 is divided by m(-61)?
12
Let f = 69 - 26. Let j(m) = 2*m**2 - 5*m - 37. Let d = 461 - 465. Calculate the remainder when f is divided by j(d).
13
Suppose 3*n - 68 = i - n, -2*i = 3*n + 92. Let a = 33 + i. Let q(j) = -j**3 - 18*j**2 + 17*j - 18. What is the remainder when q(a) is divided by 12?
8
Let i(c) = 196*c + 1990. What is the remainder when 98 is divided by i(-10)?
8
Suppose -39*g + 44*g - 1009 = 2*z, 2*g + 3*z - 396 = 0. What is the remainder when g is divided by 59?
24
Suppose -5*d - 4312 + 47 = -5*n, -n + 2*d + 856 = 0. What is the remainder when n is divided by 8?
2
Let g(z) = -z**3 - 15*z**2 - 42*z - 133. What is the remainder when 209 is divided by g(-13)?
59
Suppose 0 = 376*p - 426*p + 6950. What is the remainder when p is divided by 95?
44
Suppose 83 = 4*a + 3*b, 371*b + 39 = 2*a + 370*b. What is the remainder when 219 is divided by a?
19
What is the remainder when (-178)/534*(-879)/1 is divided by 104?
85
Let z = -182 - -181. What is the remainder when (z/(-2))/(4/(-5 - -525)) is divided by 17?
14
Let b(h) = 25*h + 1 + 24*h - 46*h. Let d be b(5). Let r = 46 - d. Calculate the remainder when r is divided by 16.
14
Let p(g) = 2*g**2 + 21. Let x = 356 - 294. What is the remainder when p(5) is divided by x?
9
Let k = -34 + 34. Suppose k = y + 3*y. Suppose y = 8*d - 127 - 689. Calculate the remainder when d is divided by 26.
24
Suppose 16*t - 658 - 20 = -70. Calculate the remainder when 441 is divided by t.
23
Let l be (3 - -1) + -6 - -29. Let c = l + -6. Calculate the remainder when c is divided by 2.
1
Let a be (0 - -1)/(3/309). Suppose 4*r - a = -35. Let w(b) = b**3 - b**2 + 6*b - 31. Calculate the remainder when r is divided by w(3).
2
Let b(w) = -w**3 + 5*w**2 - 1. Suppose 0 = -10*q + 305 + 58 + 947. Calculate the remainder when q is divided by b(3).
12
Suppose 2*w + 3*r = 20, -2*w - 13 = 5*r - 41. Suppose -2*k + 105 = z, w*k - 115 = 5*z + 74. What is the remainder when k is divided by 30?
21
Suppose 26*i = 3220 + 1564. Let g = -47 + -4. Let y = -14 - g. What is the remainder when i is divided by y?
36
Let t = -7 + 46. Suppose 17 = 3*s + 2*i, 10*s + 13 = 13*s + 4*i. Suppose -2*l + 684 = s*l. What is the remainder when l is divided by t?
37
Let j = 33 + -29. Suppose 4*z - 2*g = 3*z + 333, -4*g = -j*z + 1320. What is the remainder when z is divided by 15?
12
Let i(j) = j**2 - 259*j - 10047. What is the remainder when 926 is divided by i(-35)?
197
Suppose c + a - 30 = 0, -5*c + 9*a + 110 = 4*a. What is the remainder when (((-474)/5)/(-2))/(c/130) is divided by 30?
27
Let d(m) = m**3 + 15*m**2 - 2*m - 150. What is the remainder when 1113 is divided by d(-14)?
3
Suppose 0*q - 2*q + 34 = -2*z, -3*q + 21 = -z. Let y(r) = r**2 + 15*r + 62. What is the remainder when 179 is divided by y(z)?
55
Suppose -24 - 140 = -4*d. Suppose 7*t = -111 - 253. Let h = -31 - t. Calculate the remainder when d is divided by h.
20
Suppose -290*d - 1952 = -306*d. What is the remainder when d is divided by 30?
2
Suppose 12*l + 9458 + 15556 = 34*l. What is the remainder when 1150 is divided by l?
13
Let c be ((-4)/(-14))/(6/84). Let h be c*3/30 - (-14930)/50. Suppose 0 = 2*r + 2, -r + h = -5*w + 870. What is the remainder when w is divided by 23?
22
Let j(t) = 7*t + 15*t - 1 - 10*t. What is the remainder when j(2) is divided by 11?
1
Let d = -5463 - -5576. Calculate the remainder when 1353 is divided by d.
110
Let u(b) = 23*b - 49. Let t be u(7). Let f(z) = -3*z. Calculate the remainder when 48/t - (-172)/7 is divided by f(-5).
10
Let m(h) = -h + 13*h + 8*h + 3*h**2 + 68 - 2*h**2. What is the remainder when 20 is divided by m(-17)?
3
Calculate the remainder when 1 - (-68 + -1 + 1) is divided by (-2 + 72/16)/((-25)/(-360)).
33
Let k = -107 + 271. Calculate the remainder when k is divided by (-159)/(-1272)*(296 + 0).
16
Suppose -3*o + 4*o = -2, 2*b + 4*o - 96 = 0. Suppose 3 = -j + 12. Suppose 30 = j*k - 78. Calculate the remainder when b is divided by k.
4
Suppose 15*l = 3*l. What is the remainder when 188 is divided by (-21)/((-1 + l)*(11 + -10))?
20
Let v(m) = -m**3 + 10*m**2 - 21*m - 17. Let q be v(5). Suppose -z + 2*t = -20, -q*z - 27 = -3*t - 81. What is the remainder when 23 is divided by z?
7
Let b(a) = -39*a. Let z be b(-1). Let d be (-36)/(-30)*220/6. Let r = d - z. Calculate the remainder when 12 is divided by r.
2
Suppose -3*b = c - 102, -2*c = -5*b - 0*c + 181. What is the remainder when 498 is divided by b?
8
Let j(p) = 51*p**2 + 84*p - 165. Calculate the remainder when j(2) is divided by 53.
48
Let m = -34888 + 34909. Calculate the remainder when 1083 is divided by m.
12
Suppose -24 = -15*w + 9*w. Calculate the remainder when 37 is divided by ((w/5)/(20/150))/1.
1
Let l be ((-309)/12)/((-9)/36). Let q = l - 61. Calculate the remainder when q is divided by 38.
4
Let n be (-84)/(-35) + 4/(-10). Suppose -4*o - n*u + 112 = 0, -2*o = -2*u + 5*u - 52. What is the remainder when o is divided by (192/60)/(4/10)?
5
Suppose 1925 = 40*p - 35*p. Let i = 911 + -833. What is the remainder when p is divided by i?
73
Suppose 0 = -2*r - 4*c + 20, 2*r - 14 = -3*c + 3. Suppose 4*n = 3*n + r*l + 5, -l = -4. What is the remainder when 74 is divided by n?
11
Calculate the remainder when (-27)/55 - 6/(-15) - 333094/(-638) is divided by 66.
60
Suppose 15*y = 3*y + 4172 - 908. Calculate the remainder when y is divided by 28.
20
Suppose 58423 - 8554 = 14*l + 13*l. Calculate the remainder when l is divided by 388.
295
Let u(s) = -s**2 - 38*s - 300. What is the remainder when 3465 is divided by u(-12)?
9
Suppose -64 = 4*q - 80. Suppose 300 = -q*a + 7*a. Let l = -54 + a. What is the remainder when l is divided by 16?
14
Let m(w) = w**3 - w**2 + 8. What is the remainder when ((-78)/15093*-43)/(1/603) is divided by m(0)?
6
Suppose 5*k = 5*w + 90, -3*k - 47*w + 53 = -49*w. Suppose 0 = -4*h + 36 + 228. What is the remainder when h is divided by k?
15
Suppose -5*a - 3*q + 463 = 0, 4*q = 33*a - 35*a + 188. What is the remainder when 899 is divided by a?
71
Let n = -64 + 43. Calculate the remainder when (-705)/n - (-28)/(-49) is divided by ((10 + 2)*4/8)/1.
3
Let w(z) = -137*z + 2197. What is the remainder when 421 is divided by w(15)?
137
Let t = 10520 + -10516. Calculate the remainder when 1900 is divided by t.
0
Let s(k) = -k**3 + 0*k**3 - 3*k**3 + 12*k**2 + 5*k**3 + 13*k + 13. Let x be s(-11). What is the remainder when x/3 - (1 - -1)*-7 is divided by 2?
1
Suppose -147 = -4*t + 5*o, -o - 100 = -2*t - 19. Suppose 0 = 14*m - 32*m + 2196. Calculate the remainder when m is divided by t.
36
Let x(y) = y**3 + 6*y**2 + 2*y + 1. Let g(j) = 16*j + 303. Let s be g(14). Let r = 599 - s. Calculate the remainder when r is divided by x(-4).
22
Let o(m) = 257*m**2 + 15*m + 1. Let g be o(2). Let p = -1037 + g. Calculate the remainder when (173/(-2))/((-1)/2) is divided by p.
19
Let d(x) = x**2 - 32*x - 16. What is the remainder when d(-11) is divided by 14?
9
Suppose 0*a - 15 = -a + 5*s, -3*a + 3*s = -9. Suppose a = -12*p + 8*p + 76. Let c = -38 + 45. Calculate the remainder when p is divided by c.
5
Suppose 5*r - 8*r + 3*d = -426, -10 = 5*d. Suppose 0 = -11*o + 25*o - r. What is the remainder when ((-92)/(-10))/(1/5) is divided by o?
6
Let g(o) = -23*o + 79 + 40*o + 47. Calculate the remainder whe