8 + 64. Calculate the remainder when w is divided by 28.
1
Let v = 3497 + -3407. What is the remainder when v is divided by 1?
0
Let n(w) = -10*w - 3. Let t(u) = u**2 - 6*u + 5. Suppose -3*x = -5*i - 7, 4 - 12 = -x - 4*i. Let g be t(x). What is the remainder when n(g) is divided by 5?
2
Let k(u) be the third derivative of u**5/60 - 13*u**4/24 - 13*u**3/6 - 12*u**2. Let l(n) = n + 32. Calculate the remainder when l(0) is divided by k(15).
15
Let z(i) = 7*i - 18. Let r(f) = 8*f - 19. Let v(d) = -5*r(d) + 4*z(d). What is the remainder when 780 is divided by v(0)?
21
Let h = -1251 + 1282. Let c(t) = 32*t**2 + 2*t - 2. Suppose 17 = -5*p + 2*y + 1, 2 = -4*p - 2*y. What is the remainder when c(p) is divided by h?
29
Let u = -474 - -475. Calculate the remainder when 558 is divided by u*((-3 - -5) + -3 + 36).
33
Let d = 3477 + -1690. What is the remainder when d is divided by 98?
23
Let d = 1 - -6. Suppose -4*i = -3*x + 59 + 73, -4*i = 5*x - 252. What is the remainder when x is divided by d?
6
Let a(n) = 6*n - 57. Let i be a(10). Suppose -2*s + 104 = i*c, -5*c - 4*s + 87 = -85. What is the remainder when 122 is divided by c?
14
Let i(z) = -z**2 - z + 53. What is the remainder when i(0) is divided by 27 - (156/(-26) + 15)?
17
Suppose -6*j - 2*g = -3640, 2*j + 5*g - 634 - 614 = 0. Calculate the remainder when j is divided by 246.
112
Let z be 2 + ((-7)/1)/(-1). Let y = 1453 - 1453. Suppose y = z*o - 10*o + 4. Calculate the remainder when 17 is divided by o.
1
Suppose i + 5*r = 7, -1 = 5*i - 3*r - 36. Suppose -b = -3*f - 66, 0 = -i*b + 4*b + f + 166. What is the remainder when b is divided by 29?
25
Suppose 3*s - 315 = -4*s. Let q = s + -9. Suppose 24 = 3*d - q. Calculate the remainder when 79 is divided by d.
19
Suppose -118*d + 120*d + 5*b = 92, -3*b - 323 = -5*d. Calculate the remainder when 9023 is divided by d.
56
Let n(x) = 6*x**3 - 54*x + 169. Calculate the remainder when n(3) is divided by 140.
29
Suppose 6*a = 4*a - 3*t + 1724, -4*a - t + 3418 = 0. What is the remainder when a is divided by 77?
6
Suppose -142*d + 313 = -2953. Let i = 519 + -198. What is the remainder when i is divided by d?
22
Let v = -2023 - -2232. What is the remainder when 237 is divided by v?
28
Let p = -7663 - -9032. Calculate the remainder when p is divided by 70.
39
Calculate the remainder when 207 is divided by (3/7 - 66/(-42)) + 12.
11
Suppose 5*i + 522 = 4*u, 342 = 2*u - 5*i + 76. Calculate the remainder when u is divided by 4.
0
Let o = 8321 + -6432. What is the remainder when o is divided by 21?
20
Let s(a) = a**3 + 62*a**2 - 6*a - 324. What is the remainder when 188 is divided by s(-62)?
44
Suppose 114*d + 162 = 116*d. Suppose 4*x = -212 - 44. Let l = -22 - x. Calculate the remainder when d is divided by l.
39
Suppose 240 + 678 = 3*u + 5*c, 5*u = -2*c + 1549. Calculate the remainder when u is divided by 12.
11
Let p be (0 + (-5 - -6))*(-1 + -8). Suppose 3*o = -0*o + 51. What is the remainder when o is divided by 1 - (6/p)/((-1)/(-6))?
2
Suppose 2*h + 2*q + 2 = 0, -4*h + 14 = -0*h - 5*q. Calculate the remainder when 1/(0 + (-1)/(-24)) is divided by h.
0
Suppose g + 12 = 2*m, 0*m + 4*m - 5*g = 18. Let b = 279 + -242. Suppose -m*u + 19 + b = 0. What is the remainder when 18 is divided by u?
2
Let a(i) = -i**3 + 2*i**2 + 16*i - 2. Let g be a(5). Suppose -22 = -q - g*r, r - 4*r - 3 = 0. Let x = -156 - -228. What is the remainder when x is divided by q?
22
Let d = 8576 + -8263. What is the remainder when d is divided by 2?
1
Suppose 4*z - 23 = -4*u + 13, 2*z - u = 3. Suppose -5*b = 7*g - 7, g + 16 - 17 = 5*b. What is the remainder when z is divided by g?
0
Let f = -65 + 136. Suppose -l = -n + 122, 2*l - 4*l + 232 = 2*n. Let b = n - f. Calculate the remainder when b is divided by 14.
6
Suppose 35*v - 15*v - 2003 - 12597 = 0. What is the remainder when v is divided by 4?
2
Let j(s) = -s**3 + 5*s**2 + 12*s + 34. Let p(t) = -t**2 + 37*t + 45. Let l be p(38). Let k = 118 + -60. What is the remainder when k is divided by j(l)?
18
Let z(u) = u**2 + 16*u + 38. Let v be z(-14). Suppose v + 8 = 3*m. Suppose 176 = 2*p + 6*p. Calculate the remainder when p is divided by m.
4
Let u = 1968 - 3180. Let f = u - -1288. Suppose 4*p = p + 33. What is the remainder when f is divided by p?
10
Let q = 39 + 6. Suppose g + 167 = 5*o, -752*o + 749*o + 90 = -4*g. Calculate the remainder when o is divided by ((-2)/1)/((-10)/q).
7
Let s(u) be the second derivative of -5*u**3/6 - 17*u**2/2 + 38*u. What is the remainder when s(-15) is divided by 17?
7
Let m(n) = 163*n - 1080. Calculate the remainder when 228 is divided by m(7).
45
Suppose -w = -6*w + 245. Let f = 56 - 95. Let i = f + w. What is the remainder when i is divided by 5?
0
Suppose -4*j = -5*u - 7357, 2*u - 9188 = -32*j + 27*j. Calculate the remainder when j is divided by 10.
8
Suppose 3*z = -11*h + 12*h + 347, -5*z - 4*h = -550. What is the remainder when z is divided by 43?
28
Calculate the remainder when (0 + (2 - 1))/(117/23751) is divided by 51.
50
Let t = 4295 + -4209. What is the remainder when 1375 is divided by t?
85
Suppose -64 = -4*o - 546*k + 544*k, -o + 4*k = 2. Calculate the remainder when 10763 is divided by o.
11
Suppose -2*l = 2*d + 184, -4*l = -7*l + 4*d - 297. Let h = l + 101. What is the remainder when 48 is divided by (2 + 32)/(h + -4)?
14
Let l = -156 - -169. Let u(n) = n**2 - 8 + 42 + n**3 + n**3 - n**3. What is the remainder when u(0) is divided by l?
8
Let t = 5173 + -4390. Calculate the remainder when t is divided by 56.
55
Suppose 285 = 66*c - 47*c. Suppose 0 = -o + 4*o + 5*t - 186, 2*o = -4*t + 126. What is the remainder when o is divided by c?
12
Let o = -274 - -622. Let y = 178 + -134. What is the remainder when o is divided by y?
40
Suppose -5*g + 3*u - 635 = 88, 3*u = 3. Let o be (2*(-16 - 0))/(36/g). Suppose 0 = 3*q - 7*q + o. What is the remainder when q is divided by 12?
8
Let r = -98 - -128. Suppose 0*l + l - 2*v = 58, -l - 5*v = -r. Let w = 60 - l. Calculate the remainder when 59 is divided by w.
9
Calculate the remainder when (-40)/820 + 35315/287 is divided by (-44)/3*6/(-4).
13
Suppose 120 + 361 = 3*t - 5*z, 2*z + 632 = 4*t. Suppose 2*l + 4 = 8. Suppose l = -g + 42. What is the remainder when t is divided by g?
37
Suppose -o - 5 = -4*u - 40, -4*o + 140 = 4*u. Let g(x) = -x**2 - 62*x - 571. What is the remainder when g(-49) is divided by o?
31
Let f = 5 + -3. Suppose 54*t + f = 56*t. Calculate the remainder when 90 is divided by (1/t)/(1/23).
21
Let i = 29 - 12. Suppose 78 = i*x - 92. Calculate the remainder when 3/(-6)*(0 - 68) is divided by x.
4
Suppose 0 = l - 988 - 3. What is the remainder when l is divided by 329?
4
Suppose 4*q + 5*o = 30140 + 15618, 5*q = -4*o + 57211. Calculate the remainder when q is divided by 50.
47
Let v(s) = 3*s + 4. Let q be v(0). Suppose -q*k - 6380 = 7*k. What is the remainder when k/(-5) - (2 - 2) is divided by 17?
14
Suppose 714 = 88*o - 1166 - 464 + 56. Let f(y) = 125*y**2 + 1. Calculate the remainder when f(-1) is divided by o.
22
Let i = -4 + 7. Suppose 6*k - 15 - 141 = 0. Let v = k - 8. What is the remainder when v is divided by i?
0
What is the remainder when 598 is divided by (17 - 100/8)*(-34)/(-9)?
3
Let c(d) = d**2 - 15*d - 66. Let z be c(-5). Suppose -z*f + 1162 = -20*f. Let h(a) = a**2 - a + 17. What is the remainder when f is divided by h(0)?
15
Calculate the remainder when (-263)/(44/(-33) - -1) is divided by 113.
111
Let d(p) = 3*p + 35. Let v = -12 - -6. Let m be d(v). Suppose -445 = -m*l - 37. Calculate the remainder when l is divided by 17.
7
Let h = -93 - -239. Suppose d = -3*i + 166, 0 = -3*i + 2*d + 2*d + h. Calculate the remainder when i is divided by 8.
6
Suppose 131 = 3*w - 385. Let l be w/22 - (-34)/187. Suppose -y + l*y = 147. Calculate the remainder when 83 is divided by y.
20
Suppose -2*j = -4*c - 599 + 21, 0 = -2*j - 3*c + 606. Suppose 17*f - j = 6*f. What is the remainder when 105 is divided by f?
24
Let g = 1 + 20. What is the remainder when (12 + -344)*23/(-46) is divided by g?
19
Let j be (-39 - 1)/(2/(-2)). Suppose -85 = -6*v + 107. Calculate the remainder when v is divided by -4*-26*5/j.
6
What is the remainder when 233 is divided by (-842)/(-10) + (660/50)/(-11)?
67
Suppose -v = 3*i - 0*v - 254, -3*i + 262 = -v. Let s(w) = 4*w + 44