x = -3*i + 44, -3*x = 2*x + 10. What is the remainder when i is divided by 4?
0
Let p(r) = r**3 - r**2 + 2*r + 68. Calculate the remainder when p(0) is divided by 35.
33
Let c be ((-1)/(3/(-870)))/(13 - 12). Suppose -4*v + 2*v + 40 = 0. Calculate the remainder when -2 + (-28)/(-16) + c/8 is divided by v.
16
Suppose -15*q = -11*q - 508. What is the remainder when q is divided by 65?
62
Suppose 0 = 3*t + 2*m - 323, -3*m - 212 = -2*t - 6*m. Suppose 107*q = t*q - 98. Calculate the remainder when q is divided by 25.
24
Calculate the remainder when 88 is divided by 115/(((-150)/12)/(-5)).
42
Let c(p) = 4*p**2 + p + 1. Let f be c(-6). Suppose -f = 5*g - 494. What is the remainder when g is divided by 6 + 8 + (-5)/(-5)*4?
17
Suppose -32 = -g - 7*g. Suppose -68 = -g*r + 5*j, 3*j + 20 + 31 = 3*r. Calculate the remainder when r is divided by 3.
2
Let c = 215 + -304. Let f = c - -134. What is the remainder when f is divided by 12?
9
Suppose 2*w + 9 = 3*w. Let s(h) be the third derivative of -7*h**4/24 - 2*h**3/3 - 3*h**2. Calculate the remainder when s(-4) is divided by w.
6
Suppose 5*d = 66 - 6. Suppose 0 = 43*j - 38*j - 475. Calculate the remainder when j is divided by d.
11
Let a = 1686 + -1658. What is the remainder when 76 is divided by a?
20
Suppose -3*s - 32*u = -37*u + 3, 0 = 5*s + 4*u - 32. Calculate the remainder when 8 is divided by s.
0
Let c = 12 - 7. Suppose -160 = c*t + 75. Let y = 109 + t. Calculate the remainder when y is divided by 21.
20
Let p(t) = -7*t**2 + 100*t + 22. What is the remainder when p(14) is divided by 249/15 - 2/(-5)?
16
Suppose 5*z - 4*v - 205 = 2*z, 0 = -z + 4*v + 55. What is the remainder when z is divided by 7?
5
Let z(g) = 1 + 7*g**3 - 3*g**3 - 10*g**3 + 5*g**3 + 4*g**2 - g. Suppose 5*f + 3 = 18. What is the remainder when z(f) is divided by 5?
2
Let f(q) = q - 1. Let x be f(3). Suppose 5*y - 3*l = 29 + 33, 0 = x*l - 2. What is the remainder when 49 is divided by y?
10
Let d(a) = a + 153. What is the remainder when d(-39) is divided by 13?
10
Let s = 351 + 146. What is the remainder when s is divided by 50?
47
Suppose -5*d + 409 = 4*w, -d + 299 = 2*w + 102. Let p = -26 + w. What is the remainder when p is divided by 15?
10
Let y(m) = -10*m + 3. Suppose p = -4*n + 784, 2*p + 340 = n + 1899. What is the remainder when ((-8)/12)/(4 - 3128/p) is divided by y(-3)?
32
Suppose -11*m = -18*m + m. Let v(w) = -4*w + 46. Calculate the remainder when 84 is divided by v(m).
38
Let r(i) = -4*i**2 + 59*i + 28. Calculate the remainder when 284 is divided by r(15).
11
Let s = -234 - -447. Calculate the remainder when s is divided by 18.
15
Suppose 2*q + 600 = z, -q + 1520 = 2*z + 305. What is the remainder when z is divided by 32?
30
Suppose 7*h - 540 + 113 = 0. Calculate the remainder when 242 is divided by h.
59
Let x = -20 - -53. Suppose 20 = -5*z, 3*z - 11 = -k + x. Suppose -103 = -4*y - y + 4*t, -y = -2*t - 23. Calculate the remainder when k is divided by y.
18
Let b be 209 - (1 - -4)*24/(-40). Suppose -52 + b = 4*x. Calculate the remainder when 119 is divided by x.
39
Suppose 0*d = 3*d - 84. Calculate the remainder when (-6)/(-4)*(2 + -4) + 113 is divided by d.
26
Let f = -187 - -262. Suppose 3*x = 3 + f. Calculate the remainder when 48 is divided by x.
22
Suppose 5*i + 20 = -5*u, 2*u = u - 2*i - 5. Let a = -29 - -13. Let k = u - a. Calculate the remainder when 63 is divided by k.
11
Let u = -636 + 641. Calculate the remainder when 29 is divided by u.
4
Suppose -2 - 6 = -2*r. Let x be (16/(-6))/((-3)/63). Suppose -r*y = -x - 16. What is the remainder when 70 is divided by y?
16
Let g(m) be the second derivative of -m**5/20 + 2*m**4/3 + m**3/6 + 20*m. What is the remainder when 47 is divided by g(8)?
7
Suppose -3*n + 6*n = t + 64, 72 = 4*n - 4*t. Suppose -6*f + 79 = -4*f - 3*d, 3*f + 5*d - 147 = 0. What is the remainder when f is divided by n?
21
Let m = 1211 - 1170. What is the remainder when 198 is divided by m?
34
Suppose -1760 = -15*p + 745. Calculate the remainder when p is divided by 29.
22
Suppose d - 3*a + 17 = 65, -4*d + 236 = -a. Let p = d - 39. What is the remainder when 40 is divided by p?
19
Let w(a) = a**3 + 5*a**2 - 8*a - 10. Let y be w(-6). Suppose u + 3 = 3*t - 9, 0 = y*u - 3*t + 18. Calculate the remainder when 37 - 0/(-2 - u) is divided by 20.
17
Suppose -2*g + 10 + 0 = 0. Let j be g*(-2)/(-5) - 2. Suppose 0 = 3*a - j*a + v - 78, -v + 105 = 4*a. What is the remainder when a is divided by 15?
12
Suppose 3*f + q = 4*q + 27, 0 = -2*f - q + 3. Let a(d) = -d. Let p(g) = 3*g + 5. Let y(i) = f*a(i) + 2*p(i). What is the remainder when y(11) is divided by 11?
10
Let l = 54 + -32. Suppose a = -a + l. Suppose 6*z + a = 107. Calculate the remainder when 45 is divided by z.
13
Let u(b) = 599*b + 4218. What is the remainder when (5 + -2)*(22 + -1) is divided by u(-7)?
13
Suppose 0*l - 24 = -2*g + 3*l, -3*g = -2*l - 46. Let f = -29 - -69. Calculate the remainder when f is divided by (-63)/g*(2 + -1)*-4.
12
Let g(p) be the third derivative of -p**5/60 + 7*p**4/24 + p**3/6 - 4*p**2. Let c be g(7). What is the remainder when 18 is divided by (-2 + 13 - 2) + c?
8
What is the remainder when 239 is divided by 4/((1/(-14))/((-10)/7))?
79
Let j be 6/(-18) - (-2)/6. Let l = 3 - -3. Calculate the remainder when (j - -13) + (-12)/l is divided by 6.
5
Let o(f) = 3*f**2 - 18*f - 71. What is the remainder when o(-7) is divided by 6?
4
Let s = -28 - -67. Suppose -3*z + z + 3*m + 34 = 0, -z = 4*m - s. Calculate the remainder when 65 is divided by z.
19
What is the remainder when 481 is divided by 12/8 - ((-66)/4 + -3)?
19
Suppose 2*w - 55 = w. Let r = -220 - -242. Suppose -2*q = q + 4*i - r, -2*q = i - 23. What is the remainder when w is divided by q?
13
Suppose -2*q = -5*b + 936, 29*q = -4*b + 25*q + 732. Calculate the remainder when b is divided by 47.
45
Suppose 37*v - 86*v + 833 = 0. Calculate the remainder when 199 is divided by v.
12
Suppose 0 = -2*a + 29*a - 351. What is the remainder when 59 is divided by a?
7
Let b = 35 + 3. What is the remainder when 302 is divided by b?
36
Let u(m) = 7*m**2 - 4*m + 11. Calculate the remainder when u(4) is divided by 6.
5
Calculate the remainder when (-5)/15*7*-78 is divided by 28.
14
Suppose -10*x + 2256 = 2116. What is the remainder when (43/2 + -1)*2 is divided by x?
13
Let g(q) = -7*q - 3. What is the remainder when 125 is divided by g(-1)?
1
Let g = 16 + 11. Calculate the remainder when g is divided by 6*((-30)/(-9))/(-2)*-1.
7
Calculate the remainder when 14 - (-690)/(-45) - 1537/(-3) is divided by 27.
25
Let g(x) = x**3 + 5*x**2 + 16*x + 86. Let l(f) = f**2 - 6*f - 5. What is the remainder when g(-5) is divided by l(7)?
0
Let t = 51 - 27. Let z(a) = 10*a**2 + 4*a**3 - 3*a**3 - 12 - 3*a - 2*a**3. Calculate the remainder when z(8) is divided by t.
20
Suppose l + 8 = q + 5, 3*q = -3*l + 15. What is the remainder when 17 is divided by q?
1
Suppose -71 = -3*w - a, -3*w + 73 + 0 = 2*a. What is the remainder when 79 is divided by w?
10
Suppose -8*z + 343 = -z. Suppose -5*n + z + 16 = 0. Calculate the remainder when 49 is divided by n.
10
Let u(x) = 2*x**2 + 17*x + 62. What is the remainder when 259 is divided by u(-3)?
27
Let i = -1172 + 1310. What is the remainder when i is divided by (-396)/(-14) - (-2)/(-7)?
26
Let b(i) = 3*i**2 - 50*i - 17. What is the remainder when 153 is divided by b(18)?
43
Suppose 0 = 13*l - 1810 - 712. What is the remainder when l is divided by 53?
35
Let k(h) = -h + 0*h + 6*h**3 - 2*h**2 - 7*h**3 - 2. What is the remainder when 38 is divided by k(-3)?
8
Let m = 327 + -575. Suppose 5*q - 100 + 27 = 3*p, 2*q - 5*p - 14 = 0. What is the remainder when 4/(-40)*6 + m/(-5) is divided by q?
15
Suppose -24 = 4*c - 120. Calculate the remainder when 118 is divided by c.
22
Let c = -52 + 86. Let s = 1 + c. Let i = s + -14. Calculate the remainder when i is divided by 12.
9
Let w be ((-1)/((-2)/(-36)))/(-2). Let u be w/((-9)/(-60)*-2). Calculate the remainder when 13 is divided by (72/u)/(6/(-20)).
5
Let g = 7 - 19. Let w(l) = -l**3 - 11*l**2 + 9*l - 18. Calculate the remainder when 65 is divided by w(g).
11
Suppose -4*f + 19 - 3 = 0. Suppose 2*k + 2*y - 288 = -2*k, 0 = 4*k + f*y - 292. Calculate the remainder when k is divided by (-2)/(-6) + (-106)/(-6).
17
Suppose -2 = -2*z