
Suppose 39*q - 982 = 4322. Calculate the remainder when q is divided by 51.
34
Let b(j) = 54 - 22*j - 4*j**2 - 39 - 6*j**2 - j**3 - 64 - 52. What is the remainder when b(-10) is divided by 5?
4
Let c(m) = 36*m**3 + 1. Suppose 2*o = -2*o - 12, 0 = 3*w - 5*o + 96. Let g = 108 - w. Calculate the remainder when g is divided by c(1).
34
Let r(y) = 31*y**2 - y - 2. Let i be r(-2). Let h be ((-23)/(-2))/(-3 - 116/(-40)). Let o = i + h. What is the remainder when 50 is divided by o?
5
Let o(i) = 15*i**2 + 8*i + 7. Let x be o(-1). Suppose 20*f = x*f + 150. Calculate the remainder when 80 is divided by f.
5
Suppose -15 = 33*y - 34*y. Suppose 5*k + s - 92 = 0, -2*s + y = k - 7. Suppose -3*p = -55 - 158. What is the remainder when p is divided by k?
17
Let z = 376 + -448. Let h = 188 + z. What is the remainder when h is divided by 27?
8
Suppose -5*c - 4007 = -2*i, 0 = i - 17*c + 10*c - 2008. Calculate the remainder when i is divided by 500.
1
Suppose 0 = -z + 5*z - 36. Let m(u) = 12*u**2 - 522*u + 3055. What is the remainder when m(37) is divided by z?
7
Suppose -4*o - o - 135 = -425. Let t(u) = -2*u - 7. Suppose -4 + 59 = -5*p. Calculate the remainder when o is divided by t(p).
13
Suppose 2*g = -2*j + 36, 5*j - 44 = -4*g + 48. Calculate the remainder when 216 is divided by (-16)/j - (-748)/10.
68
Let i = 3 - 1. What is the remainder when -8*18/(-8)*i is divided by (55 + 23)*(-4 - -8)/24?
10
Let k = 362 - -92. What is the remainder when k is divided by (3 - 0) + (-24)/3*-2?
17
Suppose 32*c - 661674 = -70*c. What is the remainder when c is divided by 22?
19
Calculate the remainder when 1388/(-60)*-27*30 is divided by 10.
8
Suppose 9*t + 60 = 13*t. Let h = 1693 - 1306. Calculate the remainder when h is divided by t.
12
Let r be 2/7 + (-33)/(-7). Suppose -r*b + 74 = 5*l - 241, 0 = -3*l + 2*b + 214. What is the remainder when l is divided by (1 - 13)/(9/(-9))?
8
Suppose 5*n = 5*o - 70, -2*n = 23 - 27. Let h be 5 + -2 + 1 + 1. Suppose -19 = -2*t - z, 0*t + 44 = h*t - z. Calculate the remainder when o is divided by t.
7
Let l(n) = -4*n + 16. Let h be l(-19). Suppose 0 = -10*d - h + 252. What is the remainder when (-96)/(-1)*1 + -3 is divided by d?
13
Suppose 0 = -3*w - 7*a + 2*a - 7003, 3*w - a = -6973. Let o = w - -3396. Suppose o = 8*b - 362. What is the remainder when b is divided by 45?
44
What is the remainder when 827/(-22 - 1139/(-51)) is divided by 75?
6
Suppose 91 - 63 - 389 = -19*m. What is the remainder when 1384 is divided by m?
16
Let d(w) = 39*w**2 + 2*w + 1. Suppose 49*y + 252 = 67*y. Calculate the remainder when d(-1) is divided by (4 + y/(-6))*78/10.
12
Suppose 0 = -3*c + 3*i + 36, -310 = 5*c + 5*i - 290. What is the remainder when 8133 is divided by c?
1
Suppose 0 = -10*f + 12 + 328. Let c(t) = 10*t - 10. Let v = -17 - -28. Calculate the remainder when c(v) is divided by f.
32
Let g = 14455 + -14439. Calculate the remainder when 322 is divided by g.
2
Suppose c - n + 44 + 26 = 0, 2*c + 156 = -2*n. Let k = c + 78. Suppose -2*o - 2*j = -6*o + 162, 4*j = k. Calculate the remainder when 161 is divided by o.
38
Suppose 2*x = 5*t - 14505, 0 = 2*t - 3*x - 6407 + 594. What is the remainder when t is divided by 58?
57
Let f = 2297 + -2221. What is the remainder when 606 is divided by f?
74
Let i(g) = -g**3 - 4*g**2 + 4*g - 1. Let m be i(-5). Suppose v + 670 = 2*y, -20 = m*v + v. Calculate the remainder when y is divided by 42.
39
Let o = 5270 - 4657. Calculate the remainder when o is divided by 28.
25
Suppose -3*v + o + 171 = -2*o, 4*o = 0. Let t(g) = g**2 - 13*g + 6. Let c be t(9). Let p = c + v. Calculate the remainder when 105 is divided by p.
24
What is the remainder when -6 + (5 + -6 - -410) is divided by 32?
19
Let u = 55 - 52. Suppose 5*h + 8 = -4*k + 87, 88 = 4*h - u*k. Calculate the remainder when 68 is divided by h.
11
Let g be 103 + (-5 - (0 - 5)). Suppose -4 = 2*m, 0*k - 3*k + 3*m = 132. Let c = g + k. What is the remainder when c is divided by 30?
27
Let c(i) be the first derivative of -i**3/3 - 5*i**2/2 + 9*i - 11. Calculate the remainder when c(-5) is divided by 5.
4
Let p = -488 - -1102. Let m = p - 475. What is the remainder when m is divided by 20?
19
Let n(y) = 14*y**2 - 23*y + 41. Let s(g) = 3*g**2 - 6*g + 10. Let f(a) = -2*n(a) + 9*s(a). What is the remainder when 52 is divided by f(-4)?
4
Suppose 55*k = -268*k + 57817. What is the remainder when 364 is divided by k?
6
Let d(y) = -y**3 + 51*y**2 + 5*y - 219. What is the remainder when 798 is divided by d(51)?
6
What is the remainder when 729 is divided by (3 - 0)*(0 + -1) - (18 + -79)?
33
Suppose f + 80 = 5*f. Let k be 807 + 0 + (82 - 91). Suppose -21*l = k - 3654. Calculate the remainder when l is divided by f.
16
Suppose 2*n + 74 + 158 = 0. Let w = -34 + 260. Let y = n + w. Calculate the remainder when y is divided by 23.
18
Calculate the remainder when 1034/12 - (-65)/78 is divided by 11.
10
Calculate the remainder when 60 + -17 + 11 + -9 is divided by 10.
5
Suppose -4*v - 4*j + 12 - 40 = 0, -j = -3. Calculate the remainder when 175 is divided by 5 + 15/(-10) + (-75)/v.
10
Let n(h) = -h + 9. Let u be n(1). Let j(s) = 11*s - 73. Calculate the remainder when 103 is divided by j(u).
13
Suppose 79*w - 257 = 9 + 129. What is the remainder when 5763 is divided by w?
3
Let c(o) = 2*o**3 - 7*o**2 - 4*o - 8. Let j be c(6). Suppose -5*g + g + j = 0. Let f = 46 - 26. Calculate the remainder when g is divided by f.
17
Suppose 4*r + 471 = -3*s, s = 3*r - 10 + 373. What is the remainder when (r/(-14))/((-2)/(-14)) is divided by (-66)/(-5 + 2) + -1?
18
Let k be 159/(-2)*40/(-15). Suppose 0*g = 4*g + k. Let n = g - -65. Calculate the remainder when 28 is divided by n.
4
Let i(n) = -2*n**3 - 9*n**2 + n - 11. Let o be i(-5). Let q be (9 - 9)*(o/(-6))/3. What is the remainder when 49 + 4 + q/(-2) is divided by 14?
11
Suppose -84 = 4*w - 6*w. Suppose -k - 17 = -g - 3*g, 3*k - 3*g + 69 = 0. Let f = k + w. What is the remainder when 100 is divided by f?
15
Let j = -42 - -42. Suppose j = d, 3*a + 4*d = a + 1844. Calculate the remainder when 2/(-17) + a/34 is divided by 5.
2
Suppose 10 = -15*l + 70. Suppose -3*j + 313 = l*i, i - 98 = -3*j - 13. What is the remainder when 219 is divided by i?
67
Suppose 2*g + 15 = 2*b + 3*b, 5*g + 9 = 3*b. Suppose 4*l - b*l = 4*i + 113, 0 = l - 5*i - 112. Calculate the remainder when l is divided by 10.
7
Let l(a) = 14*a**2 - 2*a - 26. Let w be l(5). Let k = w - 299. Calculate the remainder when k is divided by 8.
7
Let k = 0 - -2. Let q(o) = 40*o + 212. Let g be q(-4). Suppose 24*i + 4 - g = 0. What is the remainder when i is divided by k?
0
Let z(y) be the second derivative of y**5/5 + y**4/12 - y**3/6 - 7*y**2/2 + 2*y + 20. Calculate the remainder when z(3) is divided by 55.
52
Calculate the remainder when 713 is divided by ((-78)/91)/(10/(-70)).
5
Suppose -3*r + 5 = -148. Let c = r - 51. Suppose 5*j - j + 8 = u, c = -u - 4*j. What is the remainder when 14 is divided by u?
2
Suppose -2*a + 237 - 227 = 0. Calculate the remainder when a + (1 - 0) + 57 is divided by 17.
12
Calculate the remainder when 679 is divided by 5/(-3)*(35 - 41) + 13.
12
Suppose 80 = -90*k + 98*k. Suppose -r = -3*g + 152 + 92, -2*r + k = 0. What is the remainder when g is divided by 21?
20
Suppose -180*s = 197*s - 3770. Suppose b + v = 5*v + 37, 0 = 4*v + 8. What is the remainder when b is divided by s?
9
Suppose -28 = -5*b + 9*b. Calculate the remainder when 50 is divided by -7*(12/b + 44/(-154)).
8
Let d(k) = 8*k + k - 5*k + 4. Let i(z) = z**2 + 2*z - 5. Let h be i(-4). What is the remainder when 44 is divided by d(h)?
12
Calculate the remainder when 770 is divided by (4018/(-196))/((-3)/54).
32
Suppose 5*i + 31 - 51 = 0, 5*f = -5*i + 7260. Calculate the remainder when f is divided by 22.
18
Let b = 160631 - 160618. Suppose 26 = -0*i + 2*i. Suppose 4*x - i = 11. What is the remainder when b is divided by x?
1
Let j(s) = s**3 + 2*s**2 + 2*s + 38. Suppose -7*i + 10*i - 9 = 0. What is the remainder when j(0) is divided by i?
2
Let u(c) = 2*c**2 - 1020*c + 5083. Calculate the remainder when 561 is divided by u(5).
0
Suppose 56582 = -31*v + 56768. Calculate the remainder when 4024 is divided by v.
4
Let l(j) = -j**3 - 5*j**2 + 17*j + 18. Let h be l(-7). Let t(g) = -39*g - 20. Let f be t(h). Le