 - 1. Suppose -59*x + 0*x = -2183. Calculate the remainder when r(1) is divided by x.
35
Let l be 10/(-20)*(3 - -1). Let u be l + 1/(4/16). Suppose 4*x = s + u, -4*s + 0*x = 4*x - 12. What is the remainder when 9 is divided by s?
1
Let y = 27 + 8. Suppose 5*l - 4*x - 84 = 0, 0 = -l + 5*x - 10*x + 40. Calculate the remainder when y is divided by l.
15
Let p = 3 + -5. Suppose 1076 - 642 = 9*t - 1186. Calculate the remainder when 104 is divided by t/9 + (0 - p).
16
Let d(v) = -3*v + 6. Let k(u) = -266*u**3 - 4*u**2 + 36*u + 41. Calculate the remainder when k(-1) is divided by d(-8).
27
Let i(v) = 6*v**2 - 2*v + 5. Let b be i(2). Suppose 241 = 8*t + b. What is the remainder when t is divided by 4?
3
Let b = -12 - -17. Let s = -5932 - -5937. Suppose b*v = -3*m + 42, 0*v + 2*m = s*v - 47. What is the remainder when 34 is divided by v?
7
Let s be (-8)/(-12)*18/(-4). Let t(r) = r**3 + 6*r**2 + 7*r + 3. What is the remainder when 1*(0 - -43)*1 is divided by t(s)?
7
Suppose -6*w + 4*w = 3*t + 30, -w + 3*t - 33 = 0. Let y = w + 53. Calculate the remainder when 89 is divided by y.
25
Let b(r) = -31*r + 522. Calculate the remainder when b(7) is divided by 9.
8
Let d be 7 + 14/(16/(-8)). Suppose 20*y - 8086 - 1114 = d. What is the remainder when y is divided by 33?
31
Let z(m) = 13*m**2 - 14*m + 42. Let h be z(3). Let t = h - 112. What is the remainder when (64/3)/((-20)/(-30)) is divided by t?
2
Suppose 18*q - 14*q - 156 = -5*m, 78 = 2*q - 2*m. What is the remainder when 446/3 - 1/(-6)*-4 is divided by q?
31
Let g be 9 + (2 + (5 - 3))/1. Suppose 10 = g*y - 12*y. Calculate the remainder when 17 is divided by y.
7
Suppose -10589*h = -10582*h - 8519. Calculate the remainder when h is divided by 241.
12
Suppose 105*q = 106*q - 5*o - 44, o - 155 = -4*q. Let z(l) = 55*l**2 + 4*l - 2. What is the remainder when z(3) is divided by q?
37
Suppose -2984 - 832 = -18*q. Suppose 0 = -85*i + 81*i + q. What is the remainder when i is divided by ((-6)/4)/((-2)/12)?
8
Suppose -18 = -k + 3*r + 9, -5*r = 5*k - 35. Suppose 63 = 4*o + 3*d, o - 4*d - k = -d. Suppose -o = -2*z + 31. What is the remainder when 90 is divided by z?
21
Let l(w) = -10*w - 16. Let d(i) = -i - 1. Let j(s) = 3*d(s) - l(s). Let a(x) = 2*x + 3. What is the remainder when j(6) is divided by a(6)?
10
Suppose -t + 267 = 4*p, 2*t + 4 - 198 = -3*p. Suppose -616 = 40*f - p*f. Let c = -38 + 53. What is the remainder when f is divided by c?
7
Suppose -15 = -z - 1591*a + 1596*a, 3*z - 4*a - 56 = 0. Suppose -5*b - 2*d = -450, 0 = -b - b - 4*d + 164. What is the remainder when b is divided by z?
12
Suppose 308 = -2*i + 5*m, -152 = i - 7*m + 5*m. Let z = i - -180. Calculate the remainder when 71 is divided by z.
35
Calculate the remainder when (107 + -1)*18/288*16 is divided by 6.
4
Suppose j = -16*j + 7973. Suppose -3*n + 12 = 0, -8*n + 9*n - j = -5*a. What is the remainder when a is divided by 31?
0
Suppose 3*i = 2*i - 9. Let u = -264 - i. What is the remainder when 47 is divided by (-3)/((-18)/4)*u/(-10)?
13
Suppose -3*n + 373 = -10*l + 12*l, -3*l + 543 = -n. Suppose 10*p = l + 448. What is the remainder when p is divided by 23?
17
Let z(r) = -r**2 + 4*r + 5. Let i be z(4). Let l(t) = -24*t - 157. Let d be l(-6). Let g = i - d. Calculate the remainder when g is divided by 3.
0
What is the remainder when 1369 is divided by (-35)/(-4) - 125/(-100)?
9
Let p be (-9)/(-6) - (-1)/2. Let s be 4 - p - (-48)/(-3). What is the remainder when 41 is divided by (-200)/(-14) + 4/s?
13
Let r = 505 - 489. Let d(p) = -p**3 + 16*p**2 + 3*p - 21. Calculate the remainder when 185 is divided by d(r).
23
Let g = -35 - -45. Let h = -41 + 85. Calculate the remainder when h is divided by g.
4
Let a = -194 - -188. Let f(q) = -q**3 - 4*q**2 + 7*q - 11. Calculate the remainder when 131 is divided by f(a).
17
Suppose -1002 = -2*t - 348. Suppose -60 - t = -9*r. Calculate the remainder when r is divided by 4.
3
Let q = 3664 - 3640. Calculate the remainder when 128 is divided by q.
8
Let l = 107 + -55. Let h = -707 - -707. Suppose 0 = 5*g - h*g - 90. Calculate the remainder when l is divided by g.
16
Let t = 2038 - 934. Calculate the remainder when t is divided by 41.
38
Let y(a) = 2*a**2 + 16*a. Let r be y(-12). Let f = -106 + r. Let x(b) = b + 27. Calculate the remainder when 81 is divided by x(f).
13
What is the remainder when ((-340)/(-1020))/(1/3702) is divided by 33?
13
Calculate the remainder when 6/(-6) + (138 - 0) is divided by 30 + (-10 - (-6)/2).
22
Suppose 130*t + 7032 - 20710 - 21032 = 0. What is the remainder when t is divided by ((-108)/14)/(3/(-21))?
51
Let o(q) = -q**3 - 30*q**2 + 65*q + 1355. Calculate the remainder when o(-31) is divided by 17.
12
Let h = 240 + -440. Let u = -196 - h. Calculate the remainder when (6/4)/(6/56) is divided by u.
2
Suppose -151483 - 121100 = -657*i + 83511. Let k = -40 + 72. Calculate the remainder when i is divided by k.
30
Suppose b = 355*d - 359*d + 104, -5*d + 5*b + 130 = 0. Calculate the remainder when 3871 is divided by d.
23
Let o = -25345 - -25379. Calculate the remainder when o is divided by (6/8)/((-3)/(-36)).
7
Suppose 204 = 4*q + k, 2*q - k - 13 = 89. Suppose 16224 - 17844 = -90*i. Calculate the remainder when q is divided by i.
15
Suppose -3*n - m = -0 - 9, 4*m - 6 = -2*n. Suppose 15 = 5*w, 23 = 4*f + n*w - 34. Let c = 149 - 66. What is the remainder when c is divided by f?
11
Suppose 90 = 9*g - 6*g. Suppose l + 4*m = -l - 16, 0 = -5*l + 4*m + g. Calculate the remainder when ((-170)/(-5))/(l/4) is divided by 14.
12
Let k = -12720 + 12961. What is the remainder when 488 is divided by k?
6
Let b be (-3505)/25*(-6 + 1). Suppose -9 = -b*w + 700*w. What is the remainder when 79 is divided by w?
7
Let f(c) = 2*c**3 + 32*c**2 + 36*c + 110. Calculate the remainder when 909 is divided by f(-15).
9
Suppose a = 5*a - 44. Let u(o) = o**3 - 11*o**2 + 3*o + 30. Let k be u(a). Suppose 0 = -n - 25 + k. What is the remainder when n is divided by 10?
8
Suppose -240 = 5*y + 3*b - 420, -3*y + 3*b + 108 = 0. Calculate the remainder when 3236 is divided by y.
32
Let p(l) = -41*l + 1618. Calculate the remainder when 853 is divided by p(39).
17
Suppose -376*g = -380*g + 2704. What is the remainder when g is divided by 22?
16
Suppose -4*d + 5*u + 101 = 0, 7*u + 80 = 4*d - 7. What is the remainder when 3/(-9) + 10971/27 is divided by d?
32
Let q = 10387 - 9784. What is the remainder when q is divided by 29?
23
Suppose -12*a - 2 = -11*a. Let f be (a/(-6))/(18/(-54)). What is the remainder when 3404/37 - 2/(1*f) is divided by 12?
10
Suppose 2565*t + 2100 = 2586*t. What is the remainder when t is divided by 20?
0
Let w = 43 - 36. Suppose -2*s + 15 = -w. Suppose 27 = s*d - 50. Calculate the remainder when 19 is divided by d.
5
Let f(r) = r**3 - 7*r**2 - 5*r + 46. Suppose 5*h + 2*w + 242 = 1220, -h + 199 = -3*w. What is the remainder when h is divided by f(7)?
9
Let i = -155 + 123. Let m = 12 - 4. Calculate the remainder when m is divided by (-12)/3*24/i.
2
Let g be 6 + (-15 + 5)/1. Let n(t) = t**3 + 1. Let p be n(0). What is the remainder when p/g + (-2088)/(-32) is divided by 11?
10
Suppose y = 3*p - 201, 5*p + 2*y - 336 = 4*y. Let s = 479 - 213. Suppose s = 5*a + 14*a. Calculate the remainder when p is divided by a.
10
Suppose -2*z + 246 = z. What is the remainder when z is divided by 76/(-2432)*16*(3 - (-2 - -31))?
4
Let n(u) = u**3 + 2*u**2 - 3*u - 1168. Let i be n(0). Let v = 1780 + i. Calculate the remainder when v is divided by 15.
12
Let t be (-4 + (-9)/(-4))*-8. Let y be (-1 - (0 - t)) + (-3 - -2). What is the remainder when 56 is divided by 112/40 + (-1)/(-5) + y?
11
Suppose 0 = 2*g + q - 73, 2*g + 75 = 4*g - q. Let h = 641 - 527. Calculate the remainder when h is divided by g.
3
Let s(x) = 116*x**3 - 7*x**2 + 6*x - 1. Calculate the remainder when s(1) is divided by 48.
18
Suppose 0 = -4*l + 5*m + 115, -l = 4*m + 146 - 138. Calculate the remainder when 2409 is divided by l.
9
Let j = 484 - 481. Suppose 3*x - 17 = 25. Calculate the remainder when 18*j*(9 - 150/18) is divided by x.
8
Let z(h) = 11*h**2 + 257*h + 52. What is the remainder when 1550 is divided by z(-25)?
44
Let o(z) be the second derivative of -z**4/6 + 85*z**3/6 - 37*z**2 - z - 25. Calculate the remainder when o(40) is divided by 65.
61