- -957. Let q = 565 + r. Suppose 4*s + 41 = 3*v - 0*v, -4*v = -2*s - 48. What is the remainder when q is divided by v?
4
Let v(c) = c**3 + 9*c**2 + 29*c + 117. What is the remainder when 251 is divided by v(-7)?
11
Suppose 38*h - 68*h + 540 = 0. Calculate the remainder when 462/4*(4 + 60/(-18)) is divided by h.
5
Let c(l) = 2*l**2 + 52*l - 499. What is the remainder when 110 is divided by c(-34)?
20
Let x = -4120 - -4130. What is the remainder when 241 is divided by x?
1
Suppose 861*i - 21652 + 1352 = 811*i. What is the remainder when i is divided by 86?
62
Let x = -45 - -150. Let v = x + -100. Suppose v*f = 2*f + 342. What is the remainder when f is divided by 30?
24
Let s = 30112 + -29788. Let a(d) = -d**3 - 4*d**2 - d - 5. Calculate the remainder when s is divided by a(-5).
24
Let u = 5570 + -5323. Calculate the remainder when u is divided by 145.
102
Let l be (-10)/50*1 - 1/(-5). Suppose 6*a - 181 + 49 = l. Calculate the remainder when 263 is divided by a.
21
Let b = 81 - 78. Suppose b*s - 9 = -3. Suppose -m + s*n + 37 = 0, -3*m + 15 + 131 = n. What is the remainder when 187 is divided by m?
46
Let c = -3064 - -3087. What is the remainder when 24 is divided by c?
1
Let c(s) = s**3 + 14*s**2 + 28*s + 44. Let q be c(-12). Calculate the remainder when 10 is divided by ((-7)/(196/(-48)))/(q/(-14)).
4
Let n(a) = -a**3 - a**2 - 1. Let h(q) = -14*q**3 + 5*q**2 - 7*q - 5. Let m(z) = -h(z) + n(z). Calculate the remainder when m(2) is divided by 51.
47
Let u = 30103 + -29738. Calculate the remainder when 4756 is divided by u.
11
Suppose 0 = -40*r + 45303 - 16983. Let d = 732 - r. Calculate the remainder when d is divided by 13.
11
Let s = -663 - -1169. What is the remainder when s is divided by 20?
6
Let a be (-50)/525 - 8213/(-21). Suppose -9*d = -26*d + a. What is the remainder when (182/8)/(1/4) is divided by d?
22
Suppose -3*n = 3*d - 393, 698 = 3*d + 2*n + 296. What is the remainder when 1538 is divided by d?
138
Suppose 2*w = -2*d + 42, 0 = w + d - 5*d - 11. Suppose -110*p + 390*p = 26040. What is the remainder when p is divided by w?
17
Let q(j) = 42*j**2 + 10*j + 10. Let i = -241 - -240. What is the remainder when 3/1*-1*-27 is divided by q(i)?
39
Suppose -z + 311 = -2*h, 2*h + 737 - 117 = 2*z. Suppose 10*b - z = -199. Calculate the remainder when 175 is divided by b.
10
Suppose -4*v + 148 = -2*j, -4*j - 1 + 29 = v. Calculate the remainder when 891 is divided by v.
27
Calculate the remainder when 610 is divided by 76*7/28 + (-8 - -15).
12
Calculate the remainder when 86 is divided by (-5)/(10/(-27))*(-1780)/(-801).
26
Suppose 13*u = 11*u + 6. Let a be u - 3/((-9)/21). Suppose 2*j + 5*x = 20, -4*j + 5*x - a = -80. What is the remainder when j is divided by 7?
1
Suppose 199*t = -311*t - 21279 + 1930719. Calculate the remainder when t is divided by 311.
12
What is the remainder when (-14995 + 1)/(-21) - ((-1 - 1) + -1) is divided by 45?
42
Suppose 24 = 23*f - 2184. Let w(s) = -11*s - 14. What is the remainder when f is divided by w(-4)?
6
Let v(j) = j**3 - 2*j**2 - 1. Let m be v(1). Let h be -5 + 8 - (-3 - m). Suppose -h*x - 3*x + 147 = 0. What is the remainder when 39 is divided by x?
18
Let b(x) = 4*x**2 + 7*x**2 + 4*x**2 - 17*x + 780 - 788 + x**3. Suppose -2*d = -13 - 63. Calculate the remainder when d is divided by b(-16).
6
Let k = 394 + -275. Suppose 7*l - 1239 = -0. Let n = l + -167. What is the remainder when k is divided by n?
9
Suppose 0 = p + 8*p - 36. Let k be (1 - p)/((-6)/(-36)). Let c = k - -22. What is the remainder when 7 is divided by c?
3
Let g = -6337 - -6439. What is the remainder when g is divided by 2 + (2/2 - -32)?
32
Let m = 32141 - 31855. Calculate the remainder when m is divided by 13.
0
Let p be ((-88)/(-66))/(4/9). Suppose 2*s = 4*s - 2, p*g = 5*s + 139. Calculate the remainder when g is divided by (-3 + 21/6)/(2/28).
6
Let s = 8829 - 8800. Suppose 5*h + 2*y - 93 = 0, -2*h - 2*h - 5*y + 88 = 0. What is the remainder when s is divided by h?
12
Let g(r) = 36*r - 1070. What is the remainder when 533 is divided by g(33)?
61
Suppose 2*r - 1334 = -5*o, 0 = -3*o - 2*r + 368 + 434. Suppose 26*y - o = 7*y. Calculate the remainder when 81 is divided by y.
11
Calculate the remainder when (1118/(-91))/((-14)/49) is divided by 11.
10
Let y = 7250 + -6842. Calculate the remainder when y is divided by 5.
3
Let y = 34413 - 34389. What is the remainder when 2879 is divided by y?
23
Let w(u) = 8*u**2 + 146*u - 145. Let r be (-4)/6 - 2/(-3). Let m = 16 - r. What is the remainder when m is divided by w(1)?
7
Calculate the remainder when (6/(-4))/(3/(-2010)) is divided by ((-1)/(-3))/(55/2310).
11
Suppose 0 = -2*p + 3*k + 2393, 108*p - 109*p = 4*k - 1202. What is the remainder when p is divided by 6?
4
Suppose -302 = -4*i + 34. Suppose -13*u + i = -280. Calculate the remainder when 108 is divided by u.
24
Calculate the remainder when 282 is divided by 15*(-15 - 1566/(-90)).
30
Let g = 8998 + -8762. Calculate the remainder when 480 is divided by g.
8
Suppose 592 = 11*l - 9000. Calculate the remainder when l is divided by 46.
44
Suppose -2*j - 8 = -v, 3*v + 5*j + 146 = 203. Calculate the remainder when 554 is divided by v.
8
Let p = -3 + 7. Let t(g) = -g**2 + 2*g + 46. Suppose -4*u + u = -2*q - 31, 5*q + 25 = 0. Calculate the remainder when t(u) is divided by p.
3
Suppose 2*l + 63 = 97. Suppose -2*v - 2745 = -l*v. What is the remainder when v is divided by 31?
28
Let u(l) = -9*l + 232. Let p = 12 + 18. What is the remainder when p is divided by u(23)?
5
Suppose 2*k - 14299 = 5*a, -a - 5018 = -5011. Calculate the remainder when k is divided by 39.
34
Let n(a) = a**3 + 4*a**2 - 6*a + 63. What is the remainder when 797 is divided by n(-6)?
14
Suppose -4308 + 180 = -86*d. What is the remainder when 104 is divided by d?
8
Suppose -g - 4*b + 11 = 1, -2*g + b + 38 = 0. Suppose 15*v + 8527 = 10132. What is the remainder when v is divided by g?
17
Suppose 0 = -m - 5*n + 5, 0 = 2*m + 2*n - 92 + 58. Let i(o) = -3*o + 2. Calculate the remainder when m is divided by i(-3).
9
Suppose 231*h - 178*h = 371. Suppose -y = 4*a - 7, -5*y + 80 = 2*a + 3*a. Calculate the remainder when y is divided by h.
5
Let u(j) = 50*j + 4228. What is the remainder when u(-79) is divided by 130?
18
Suppose -5229 = -207*u + 360. What is the remainder when 111 is divided by u?
3
Suppose 2*z - 4*k + 1 = 9, -z - 5*k - 10 = 0. Suppose z = -0*d - 6*d - 288. Calculate the remainder when 178 is divided by d/1*(-15)/20.
34
Let i = -5027 + 5049. Calculate the remainder when 62 is divided by i.
18
Suppose -5*k = 5*i - 100, -3*i - i + 16 = 0. Let w be 4/14*-4*7/(-4). Suppose v + 2*c + w - 9 = 0, -v = 4*c - 7. What is the remainder when k is divided by v?
2
Suppose -273*a + 272*a = -23. Let c(m) be the third derivative of m**5/20 - m**4/12 - 7*m**3/6 + 3*m**2. What is the remainder when c(6) is divided by a?
20
Let x(n) = 6*n**2 + 19*n - 12. Let j be -1 + (-3 + 7)*3/(-6). Let y be 5/(45/21)*j. Calculate the remainder when x(y) is divided by 25.
24
Suppose 977 + 2061 - 498 = 20*w. Calculate the remainder when 249 is divided by w.
122
Suppose 63*x - 66*x = -5*m + 8, 4*m - 37 = -x. Suppose 0*c + 24 = 4*c. Calculate the remainder when 4/c + 147/9 is divided by x.
8
Suppose -2*p = 8, 1239 - 95 = 4*g - 2*p. Suppose 0 + 4 = 2*i. Suppose -6*f = -i*f - g. What is the remainder when f is divided by 18?
17
Let s = -422 + 354. What is the remainder when (s + 37)*1*-1 is divided by 4?
3
Suppose 0 = -7*n + 2*n + 50. Let c(f) = -10*f - 44. Calculate the remainder when (4 + n/(-4))*(-1 + 87) is divided by c(-7).
25
Let o be 2/54*6 - (-6)/(-27). Let a(i) = -14*i + 14. Calculate the remainder when 167 is divided by a(o).
13
Let t(z) = 3*z**2 - 11*z + 34. Let n(q) = -42*q - 75. Let f be n(-2). What is the remainder when t(f) is divided by 9?
7
Let p = 360 + -360. Calculate the remainder when (2/8)/((-5)/(-820) + p) is divided by 11.
8
Suppose z + 0*z + 25 = d, -d + 4*z = -31. Suppose 5*c = 180 + 265. Suppose j + 2*h - c = 0, 2*j = 2*h + 70 + 102. What is the remainder when j is divided by d?
18
Suppose b - 546 + 82 = -3*w, 2*w - 305 = -5*b. Suppose -p + w = 2*z, 0*p + 2*z - 481 = -3*p. Calculate the remainder when p is divided by 21.
16
Suppose 6 = 10*i + 16. Let t = -236 - -245. Calculate the remaind