 - c. What is the remainder when j(1) is divided by x(1)?
12
Let q(x) = 5*x**3 + 14*x - 8. Calculate the remainder when q(3) is divided by 5.
4
Suppose 4*f + 5*f = 189. Let d = 21 - f. Suppose d = -9*y + 5*y + 64. Calculate the remainder when 63 is divided by y.
15
Suppose g - 4*g + 96 = 0. Let d(w) = -w**3 - 5*w**2 + 3*w - 7. Calculate the remainder when g is divided by d(-6).
10
Calculate the remainder when 194 is divided by -11 + 1 + 7 + 59.
26
Calculate the remainder when (170/(-6))/((-20)/60) is divided by (-1*4)/(-8)*58.
27
Suppose -63 = 2*z + 73. Let k = -42 - z. What is the remainder when 76 is divided by k?
24
Let q = -87 - -18. Let d = q - -106. What is the remainder when d is divided by (3 - 6) + 9 + 2?
5
Let r(f) = -7*f - 3*f + 4*f + 24 + 5*f. What is the remainder when 29 is divided by r(14)?
9
Suppose -2*i - 4 = 0, 5*i = -4*a + 247 - 189. What is the remainder when 508 is divided by a?
15
Let f(t) = -t**2 - 9*t - 5. Let k(b) = -b**3 - b**2 - b + 7. Suppose 0*d = -4*d. What is the remainder when f(-6) is divided by k(d)?
6
Let q(c) = -5*c - 15 - 2*c + 6*c. What is the remainder when q(-24) is divided by 6?
3
Suppose 0*x - 2*x + 8 = 0, 2*d = 2*x + 16. Calculate the remainder when 22 is divided by d.
10
Suppose 33 = 7*m + 5. Let z(n) = n**2 - 5*n + 14. Calculate the remainder when 78 is divided by z(m).
8
What is the remainder when (228/(-9))/(2 - (-78)/(-36)) is divided by 52?
48
Let t = -168 + 206. What is the remainder when t is divided by 8?
6
Let b = 23 - 8. What is the remainder when 51 is divided by ((-24)/(-20))/(2/b)?
6
Suppose -2*a + 243 = -3*j, 4*a + 0*a - 521 = -j. Suppose 0 = -17*c + 14*c + 78. Calculate the remainder when a is divided by c.
25
Let s(y) = y + 12. Let m be (-3)/(-1) + 6 + -4. Suppose -m*p - 2*w + 266 = 0, -3*w + 50 = p - w. Calculate the remainder when p is divided by s(7).
16
Let b = -30 - -30. Let o be (2 - b)*82/4. Let z = o + -23. Calculate the remainder when z is divided by 7.
4
Let b = 294 + -289. Suppose 3*u - 246 = -4*r, 3*r - 43 - 142 = -2*u. Calculate the remainder when r is divided by b.
3
Suppose -8 = 5*t + 3*u - u, 0 = -2*t - u - 4. Suppose 5*d = 5*q + 65, -2*d - d + q + 43 = t. What is the remainder when 74 is divided by d?
14
Suppose 0 = 2*m, -4*m + 2*m - 5 = 5*h. Calculate the remainder when 151/2 - (-1)/(-2) is divided by (-504)/(-27) - h/3.
18
Let v = 22 + -16. Let j(d) be the first derivative of d**2/2 + 10*d - 11. Calculate the remainder when 28 is divided by j(v).
12
Let m = -351 - -435. Let u(b) = -6*b - 1. What is the remainder when m is divided by u(-3)?
16
Suppose t = 5*p - 11, -p - 2*p + 2*t = -8. What is the remainder when 28 is divided by (-56)/(-4) - (p - 3)?
13
Suppose 5*q + 78 - 258 = 0. What is the remainder when 118 is divided by q?
10
What is the remainder when 844 is divided by ((-38)/8 - -5)*188?
45
Suppose 5*l + 2*d = 2397, 3*l = -d + 1759 - 321. What is the remainder when l is divided by 80?
79
Suppose -q = -2*d - 603, 3027 = 5*q - 7*d + 3*d. Calculate the remainder when q is divided by 16.
15
Let c(u) = u - 6. Let j be c(8). Suppose 0 = j*d - 97 - 63. What is the remainder when d is divided by 21?
17
Suppose -6*n - 12 = -10*n, 2*b = -n + 301. What is the remainder when b is divided by 10?
9
Let u(n) = -2*n**2 + 39*n - 151. Calculate the remainder when 1295 is divided by u(7).
23
Let k(m) = -m**3 + 12*m**2 - m - 5. Let w be k(12). Let g = w - -31. Calculate the remainder when 26 is divided by g.
12
Let k(t) = t**2 + 5*t + 14. Let f be k(-6). Suppose -3*u = -4*b + 27, -3*b - 11 = -5*b + u. Calculate the remainder when 102/13 - f/(-130) is divided by b.
2
Suppose -4*r - 137 = -4*y + 59, r = 3*y - 139. Calculate the remainder when 262 is divided by y.
37
Suppose 17*v + 174 = 20*v. Let f = -29 + v. Let k(l) = l**2 - l + 8. What is the remainder when f is divided by k(0)?
5
Let n(r) = -3*r + 2. Let k be (14/(-6))/(15/45). Let c(i) = 12*i**3 + i**2 + i - 1. What is the remainder when n(k) is divided by c(1)?
10
Suppose -2266 = -12*j + 8*j + 2*y, j - 4*y = 570. What is the remainder when j is divided by 15?
11
Let m = -394 - -425. Calculate the remainder when m is divided by -40*5/((-100)/8).
15
Suppose 11*y + 18 = -48. Let f = 32 + y. What is the remainder when 77 is divided by f?
25
Let l = 134 - 132. Let j = 1 - 1. Suppose -n - n + l*g + 34 = j, 5*g = -10. Calculate the remainder when n is divided by 9.
6
Let s(q) = q**2 + 21*q - 111. What is the remainder when 108 is divided by s(-26)?
13
Let m = -106 - -111. Calculate the remainder when 22 is divided by m.
2
Suppose 0 = 11*r - 6*r - 345. Suppose -k + r = b, -5*b + 3*k + 0*k + 313 = 0. Suppose 0 = 3*s + 17 - b. What is the remainder when 46 is divided by s?
14
Suppose -2*c + 35 = 1. Suppose 38 - 174 = 4*h. Let a = h - -67. What is the remainder when a is divided by c?
16
What is the remainder when ((-10)/(-20))/((-2)/(-1140)) is divided by 22?
21
Suppose -3*s + 8 = y, -s - 13 = -5*s + y. Let v be -3*((-22)/s - -2). Suppose v = 5*p - p. Calculate the remainder when p is divided by 2.
0
Suppose -3*q + 3*j + 105 = 0, -3*q - 208*j + 109 = -213*j. Suppose 3*s = x - 13, -2*x + 65 = 3*x - 5*s. Calculate the remainder when q is divided by x.
7
What is the remainder when (-5)/((-50)/54)*(-220)/(-33) is divided by 23?
13
Let q(b) = 35*b**3 - 2*b**2 + b. Suppose a - 1 = 2*s, 18 - 3 = 5*a. Let l be ((-2)/12)/(s/(-6)). Calculate the remainder when q(l) is divided by 12.
10
Calculate the remainder when -78*(-6)/(-48)*-4 is divided by 3.
0
Suppose -2*c - 4 = 0, -4*m - 3*c + 16398 = -0*c. Let a be (-2)/7 + m/21. Suppose u - a = -2*u + 3*j, 4 = j. What is the remainder when u is divided by 18?
15
Suppose 4*g = 12, 0 = -i - 0*i + 3*g + 211. What is the remainder when i is divided by 57?
49
Let y(g) = -156*g - 7. What is the remainder when y(-3) is divided by 66?
65
Suppose 63 = 3*k + 2*v, -2*k + 3*v + 9 + 20 = 0. Calculate the remainder when 244 is divided by k.
16
Let y(a) = -7*a + 149. What is the remainder when 28 is divided by y(20)?
1
Let p(h) = h - 1. Let o(b) = 7*b - 30. Let x(c) = -o(c) + 4*p(c). Calculate the remainder when 24 is divided by x(7).
4
What is the remainder when 12564/96 - (-3)/24 is divided by 33?
32
Let t = 7 - 5. Suppose -5*o - 3*r + 80 = 0, -t*o - 5*r = -5*o + 48. Calculate the remainder when 30 is divided by o.
14
Let o = 431 - 403. Calculate the remainder when o is divided by 23.
5
Let k be 9/(-2)*(3 + -5). Suppose 50 + 4 = k*u. Calculate the remainder when 39 is divided by u.
3
Suppose b - 10 = -4*v - b, 4*v - 25 = 3*b. Suppose -5*n + u + 221 = v*u, -5*n + 218 = 4*u. Calculate the remainder when n is divided by 7.
4
Let u(t) = -5*t + 123. What is the remainder when 52 is divided by u(23)?
4
Suppose 4*v - 16 + 0 = 0. Suppose 13 = 5*y - 3*t, 3*y = -y + 4*t + v. What is the remainder when 4 is divided by (y + -2)/((-6)/(-4))?
0
Suppose 0 = -o - o + 24. Suppose 4 = 4*h - o. What is the remainder when h is divided by 3?
1
Suppose 425 - 87 = 26*c. Let w = 5 + -2. Calculate the remainder when c is divided by w.
1
Let q = -1439 - -1447. Let w = -176 + 247. Calculate the remainder when w is divided by q.
7
Let c(t) = 47*t + 1. Let g = 36 + -34. Calculate the remainder when c(g) is divided by 32.
31
Suppose 42*g - 683 = 7339. Calculate the remainder when g is divided by 63.
2
Let b = -15 + 38. Suppose 2*l - 8 = 0, -8*y - l = -5*y - 43. What is the remainder when b is divided by y?
10
Let o = -244 - -465. Suppose 3*a + 4*g + 139 = 0, 5*g - g - o = 5*a. Calculate the remainder when (-2 - -1)/(5/a) is divided by 3.
0
Suppose 5*j = 3*p + 8 - 11, -6 = -2*j. What is the remainder when p is divided by 2?
0
Suppose -20*a + 23*a = 99. Calculate the remainder when a is divided by 6.
3
Let k = 44 + -45. What is the remainder when 60 is divided by (10 - -23) + k + -1?
29
Let b = 4 + -9. Let d = 22 + b. Suppose 31 = c - 19. What is the remainder when c is divided by d?
16
Let q be 7*2/2*-1. Let p be 2/q + 142/7. Suppose 2*u - 2*m = -4*m + 30, 0 = 4*m - p. What is the remainder when 37 is divided by u?
7
Let q(g) = -g**2 - 11*g - 4. Calculate the remainder when 75 is divided by q(-10).
3
Let b(a) = 2*a + 6*a + a**3 + 11*a**2 - 3 - a. Let k be b(-10). Let h = k + -6. What is the remainder when h is divided by 6?
3
Let t = 235 - 