- 4. What is the remainder when 162 is divided by u(-3)?
38
Suppose 0 = -25*l + 57 + 318. Calculate the remainder when 114 is divided by l.
9
Let d(s) be the third derivative of s**4/24 - 2*s**3/3 - 2*s**2. Let c be d(-6). What is the remainder when 57 is divided by c/(-50) + (-198)/(-10)?
17
Let o(u) = -u**2 + 15*u + 13. What is the remainder when 264 is divided by o(15)?
4
Let g(r) = -120*r**3 + r**2 + 2*r. Calculate the remainder when g(-1) is divided by 15.
14
Let w be (-23 - 2)*9/3*-1. Let p = 92 - w. Let c = 3 + 45. Calculate the remainder when c is divided by p.
14
Suppose 13 - 19 = 2*q, -5*q = 2*v - 35. Suppose 0 = -6*m + 2*m + 12. Suppose 11 + 10 = m*r. Calculate the remainder when v is divided by r.
4
Suppose -s - 2*s = -5*k + 63, 16 = 4*s. Let g(c) = c + 12. Let l be g(-4). Calculate the remainder when k is divided by (-1)/(((-4)/2)/l).
3
Suppose -5*a + 3*n - 2*n = -68, 2*a - 4*n = 20. What is the remainder when 69 is divided by a?
13
Let k(s) = -6*s**3 + s**2 + 5*s + 3. Let o be k(-1). Suppose -o*c + 14 = -2*z + 57, 4*z + c = 31. Calculate the remainder when z is divided by 6.
3
Suppose c = 5*v - 216, -5*c + 171 - 19 = 3*v. What is the remainder when 2681 is divided by v?
41
What is the remainder when 736 is divided by 299/(-468)*-28 + 1/9?
16
Let s be (-1 - (-172 + -1))*(-1)/(-4). Let b = -7 + s. Calculate the remainder when 142 is divided by b.
34
Suppose 0 = -5*p - 5*j + 500, -4*p = -4*j - 9 - 375. Suppose -2 - 48 = -2*o. Calculate the remainder when p is divided by o.
23
Suppose 2*u + 1248 = 3*l - u, 4*u = 5*l - 2082. What is the remainder when l is divided by 141?
136
Let q = 284 - 262. Calculate the remainder when q is divided by 10.
2
Suppose 4568 = 6*y - 634. What is the remainder when y is divided by 79?
77
Calculate the remainder when 15/40 + 1301/8 + 1 is divided by 15.
14
Suppose -6*h = -36*h + 990. Calculate the remainder when 98 is divided by h.
32
Suppose m - 17 = -0*m. Calculate the remainder when 422 is divided by m.
14
Let d(r) be the third derivative of r**6/120 - r**5/10 - r**4/8 + 5*r**3/2 - 39*r**2. Calculate the remainder when d(8) is divided by 12.
11
Suppose 3*l + 29 = h - 3*h, 5*l - 2*h = -27. Let n = 26 - l. Calculate the remainder when n is divided by 6.
3
Let n = -36 - -61. Calculate the remainder when (833/(-34))/(6/(-24)) is divided by n.
23
Suppose -2*j + 34 = 3*h + 187, 0 = 4*h + 4*j + 208. Let i = -38 - h. What is the remainder when 19 is divided by i?
8
Let r = 192 - 182. Calculate the remainder when 36 is divided by r.
6
Calculate the remainder when 123 is divided by -3 + 9/6*228/9.
18
Let y be (-7)/2*(55 + -1). Suppose -q = q + 220. Let n = q - y. What is the remainder when n is divided by 27?
25
Let y(q) = 30*q + 258. What is the remainder when 177 is divided by y(-8)?
15
Suppose 43 = 4*p - 53. Let h = 12 - p. Let d(z) = -z**2 - 15*z - 13. What is the remainder when 45 is divided by d(h)?
22
Suppose -f - 2*b = -6*b - 54, 0 = 3*f + 3*b - 237. Suppose 46*s = 179*s - 1287 - 442. What is the remainder when f is divided by s?
9
Suppose -2*t = -4*r - 4*t + 258, 0 = -3*t - 15. Calculate the remainder when r is divided by 24.
19
Let x = -9 + 9. Suppose x = 4*w - 11 - 5. Suppose 5*o - 2 = -5*j - 7, -w*j - 32 = -3*o. What is the remainder when o is divided by 3?
1
Suppose 0 = 3*i + 4*g - 2536, 0 = -2*i + 3*g + 1602 + 100. What is the remainder when i is divided by 50?
48
Let y be (-108)/(-28) + 2/14. Let l be y/(-10) + 8/(-5). Let d = 8 - l. What is the remainder when 29 is divided by d?
9
Calculate the remainder when (337701/(-182))/(2/8 - 1) is divided by 99.
98
Let m = -1502 + 1513. What is the remainder when 262 is divided by m?
9
Let x = 97 + -5. Let l = x + -67. What is the remainder when 72 is divided by l?
22
Calculate the remainder when 136 is divided by (-20)/3*((-17)/2 + 7).
6
Suppose 101*n = 2*z + 99*n + 42, -5*z - 70 = 2*n. Let f be ((-37)/3)/(1/(-3)). Let o = f + z. What is the remainder when 81 is divided by o?
18
Suppose 21*b = 16*b + 645. Calculate the remainder when b is divided by 20.
9
Let p(q) = q + 44. Let d be p(-31). Suppose -5*u = -c - 3, 3*u = 2 + d. What is the remainder when 54 is divided by c?
10
Suppose -196 = -25*v + 21*v. Calculate the remainder when v is divided by 15.
4
Let n = -343 - -535. What is the remainder when n is divided by 99?
93
Let b(z) = 9*z**2 + 9 - 24*z**3 - 2*z**2 + 25*z**3 - 3*z. Calculate the remainder when 88 is divided by b(-7).
28
Calculate the remainder when 111 is divided by -6 + -20*(6/(-2))/3.
13
Let a(r) = -50*r + 1. Let d be 8/(-3) - (28/(-7))/(-12). Let b(f) = 4*f**2 + 9*f + 9. What is the remainder when a(-1) is divided by b(d)?
15
Calculate the remainder when (11/(-220)*-24)/((-4)/(-590)) is divided by 48.
33
Let c(u) = -u**2 - 29*u - 12. Let i be c(-20). Let j = i - 106. What is the remainder when j is divided by 16?
14
Let p = -2066 - -2071. What is the remainder when 953 is divided by p?
3
Suppose -660*d = -672*d + 2004. Calculate the remainder when d is divided by 58.
51
Let s(q) = -17*q - 1080. Calculate the remainder when 92 is divided by s(-65).
17
Let z = -14 + -5. Let u = 126 + z. Calculate the remainder when u is divided by 22.
19
Suppose -5218*o = -5233*o + 1455. Let z(h) = -h**3 - 6*h**2 - 4*h + 1. What is the remainder when o is divided by z(-6)?
22
Let g(v) = -7*v + 5. Calculate the remainder when 137 is divided by g(-6).
43
Suppose 499*g - 498*g - 59 = 0. Calculate the remainder when 279 is divided by g.
43
Let k(n) = n**2 + 4*n - 7. Suppose 0 = -199*y + 191*y + 64. What is the remainder when k(3) is divided by y?
6
What is the remainder when 591 is divided by ((-37)/4)/((-27)/108)?
36
Let m = 132 - 118. Let w(y) = 5*y + 1 - 9 + 3*y. Calculate the remainder when w(6) is divided by m.
12
Suppose 0 = 3*f - 16 - 59. Let t = f - -2. Let z(x) = -x**3 - 4*x**2 + 2*x - 1. Calculate the remainder when t is divided by z(-5).
13
Let x(p) = -p**2 - 12*p + 1. Let r be x(-11). Let t be (1 + (-4)/r)*75. Calculate the remainder when (-4)/(-6) - t/(-6) is divided by 6.
3
Let g(h) be the second derivative of -h**3 + 9*h**2 - 30*h. What is the remainder when g(-5) is divided by 25?
23
Suppose 3*v - 57 = 1038. Let z = -254 + v. Let a = -32 + z. What is the remainder when a is divided by 20?
19
Suppose 15*f + 7 - 37 = 0. Let v(j) = 8*j**3 - 2*j**2 - 2*j + 1. What is the remainder when v(f) is divided by 14?
11
Suppose d - 3*d - b = -83, -5*b = -15. Calculate the remainder when 159 is divided by d.
39
Suppose 3*m - 3*g = 16 + 17, 2*m - 10 = -g. Let n be -1 + -2*(3 + 4). Let f(a) = -a + 11. What is the remainder when f(n) is divided by m?
5
Suppose -7*u - 29 + 148 = 0. What is the remainder when 56 is divided by u?
5
Suppose -1 = -t + 20. Calculate the remainder when 249 is divided by t.
18
Let n = -3962 - -4028. Let v(l) = 43*l - 1. Calculate the remainder when v(3) is divided by n.
62
Suppose -4 - 8 = -2*q - 2*r, 0 = -4*q - 5*r + 24. Suppose q*m + 17 = 35. Suppose -d = 4*d - 15. What is the remainder when d is divided by m?
0
Let j(z) = 2 - 1 + 10*z - 4. Suppose 41*d - 294 = 27*d. Calculate the remainder when j(4) is divided by d.
16
Let b = 61 - 21. What is the remainder when b is divided by 15?
10
Suppose 5902 = -4*g + 2374. Calculate the remainder when ((-37)/(-3))/(-7*7/g) is divided by 15.
12
Let a(f) = 2*f + 6. Let v be a(6). Suppose o - 4*o + v = 0. What is the remainder when (18/4)/((-6)/(-1))*36 is divided by o?
3
Calculate the remainder when (42/10)/7 + (-1644)/(-10) is divided by 6.
3
Suppose -5*a - 4*o = -52, -2 = -a + o + 3. Suppose 2*j - a = 152. Calculate the remainder when j is divided by 14.
10
Suppose 0 = 3*g + 6094 - 6331. Calculate the remainder when 97 is divided by g.
18
Suppose 24 = 2*f + 5*r, -f - 2*r = -16 + 4. Suppose 3*n - 9 = 3. Suppose 4*a - 126 = -2*h, n*a + 3*h = 5*a - 42. Calculate the remainder when a is divided by f.
9
Let v(r) = -r**3 - 12*r**2 - 55*r - 29. What is the remainder when v(-15) is divided by 92?
91
Let m = 22 - 20. Let h = 1 + -1. Suppose h = -0*l - 2*l - 2*d + 178, -3*l + 247 = -m*d. Calculate the remainder when l is divided by 22.
19
Let o(h) = h**2 + 9*h - 51. Let n be 4 - 4*(-1)/(-2). Let v(a) = -a**2 + 4*a + 1. Calculate the remainder when o(5) is divided by v(n).
4
Suppose 0 = 4*a - 5 + 1