- 25*b**3/6 - 16*b**2 + 3*b. Calculate the remainder when v(t) is divided by 9.
7
Let j(l) = 5*l**3 + 37*l**2 + 11*l + 4. Suppose 0 = 5*u + 70 - 35. Calculate the remainder when 65 is divided by j(u).
15
Suppose 2*k + y = -13 + 74, 5*k - 5*y - 85 = 0. Let z(q) = -14*q + 3. What is the remainder when z(-5) is divided by k?
21
Calculate the remainder when 711 is divided by ((-37723)/(-85))/7 + 6/(-15).
18
Let l(f) = 17*f**2 + 8*f + 3. Suppose -15 + 84 = m. Calculate the remainder when m is divided by l(-1).
9
Let o(j) = -j**2 - 8*j - 4. Let i be 30/450 + (-59)/(-15). Suppose 4 = -i*n, 2*f - 5*n + 5 = 28. Calculate the remainder when o(-3) is divided by f.
2
Let i(y) = y**2 + 15*y + 67. Let o be i(-9). Let r = 28 - o. What is the remainder when 74 is divided by r?
14
Suppose 0 = -16*q + 80*q - 9105 + 3345. Calculate the remainder when q is divided by 59.
31
Let r(p) = -p**2 + 93*p - 1574. Calculate the remainder when r(49) is divided by 2.
0
Suppose -166 - 37 - 58 = -b. Let j = -41 + 63. Calculate the remainder when b is divided by j.
19
Suppose 43*q - 9036 = 7*q. Let m = 23 - 12. What is the remainder when q is divided by m?
9
Let t = -962 + 555. Let n = t - -416. What is the remainder when 36 is divided by n?
0
Suppose 5*w + n = -n - 6, -2*n = -w - 6. Let q = 6 - w. Let y = -8 - -22. What is the remainder when y is divided by q?
6
Let a(o) = 5*o**2 - 12*o + 60. Let j be a(4). Suppose -2*v - 2*h = -j, 2*h = -4*v + 125 + 51. Calculate the remainder when v is divided by 11.
9
Let t(l) = -7*l**3 - 5*l - 3. Let r be t(-2). Let y be (-8)/(-14) + (-6)/r*-15. What is the remainder when (16/64)/(y*(-2)/(-112)) is divided by 2?
1
Let s(x) = 24*x**2 + 28*x + 117. What is the remainder when s(-7) is divided by 110?
107
Suppose 562 = 10*h + 62. Calculate the remainder when 200 + (16/12)/(4/(-6)) is divided by h.
48
Let w(d) = -d**3 - 14*d**2 - 92*d + 36. Calculate the remainder when 3983 is divided by w(-14).
11
Suppose 31*j = -495*j + 994666. What is the remainder when j is divided by 2?
1
What is the remainder when 553 is divided by 2*2 - -321*(-3)/(-9)?
109
Let r be -1*(-2 + 5) - (-16)/(-4). What is the remainder when r/14*34*-5 is divided by 24?
13
Let l(s) = -8*s**3 - 17*s**2 - 32*s + 1. Let z be l(-2). Suppose 0*g - 3*c - 5 = -g, -3*c - z = -5*g. Calculate the remainder when 218 is divided by g.
8
Let p(f) = -f**3 - 4*f**2 - 10*f - 16. Let i be p(-8). Suppose 1485*t = 1489*t - i. What is the remainder when t is divided by 21?
17
Let m(s) = s**2 - 10*s - 14. Let q be m(12). Suppose 14*y - 16*y + q = 0. Suppose 0*f + 50 = y*f. Calculate the remainder when 18 is divided by f.
8
Let t = -739 + 748. Let r(z) = -z**2 - 7*z + 2. Calculate the remainder when t is divided by r(-6).
1
Suppose -169*a - 2*u + 290 = -165*a, 0 = 2*a + 5*u - 125. What is the remainder when 2924 is divided by a?
74
Suppose 145*i - 42 = 143*i. What is the remainder when 10875 is divided by i?
18
Suppose -3*f = -5*m + 220, -10*m - f = -6*m - 193. Calculate the remainder when 74 is divided by m.
27
Let n = -3157 - -3444. What is the remainder when n is divided by 85?
32
Suppose -12*w - 10 = -17*w. Suppose u + 3*u = -w*j - 2032, 0 = j + u + 1014. What is the remainder when 50 is divided by -1*((-4)/(-10) - j/(-55))?
14
Suppose 12*n = 15*n - 9. Let z(h) = 2*h**2 + 2*h**2 - h + 4*h**2 - n + h**3 - 9*h. Calculate the remainder when 28 is divided by z(-9).
4
Suppose 0 = 4*t - 5*h - 3482 - 9537, -3*t + 9699 = -11*h. What is the remainder when t is divided by 465?
11
Suppose -55*f = -73*f + 144. Calculate the remainder when 516 is divided by f.
4
Let o(j) be the third derivative of 5/8*j**4 + 0 + 7/6*j**3 - 6*j**2 + 0*j + 1/60*j**5. Calculate the remainder when 66 is divided by o(-16).
20
Let o(f) be the third derivative of -f**5/60 - 5*f**4/12 + 16*f**3/3 + 18*f**2. What is the remainder when 210/4*36/15 is divided by o(-10)?
30
Suppose 79*z - 163262 = -4*z - 98*z. Calculate the remainder when z is divided by 441.
20
Suppose -4*i = 3*h - 362 - 709, -5*i = 0. Suppose -4809 = -786*b + 10125. What is the remainder when h is divided by b?
15
Let q = -3527 - -3553. Calculate the remainder when 236 + -7 + (-4)/(-2) is divided by q.
23
Let x(l) be the first derivative of l**4/4 + 2*l**3 + l**2/2 + 23*l + 9. Let i be x(-7). Calculate the remainder when 41 is divided by ((-8)/6)/(((-8)/i)/(-4)).
19
Suppose -10 = -2*x - 3*x. Let o = -4680 - -4680. Suppose 2*j + 231 = 7*j - l, o = -j + x*l + 48. Calculate the remainder when j is divided by 24.
22
What is the remainder when ((-2)/14*4 + 0)/((-2)/329) is divided by 31?
1
Let o(a) = -2*a**3 + 60*a**2 - 27*a - 36. Let p be o(27). Suppose -714 - p = -11*i. What is the remainder when i is divided by 22?
19
Suppose -41*k - 21*k = -1929 - 1295. Suppose 0*c + 2 = 2*c + 4*q, -2 = 4*c + 2*q. Calculate the remainder when (9/12)/(c/(-204)) is divided by k.
49
Suppose 0 = -22*x - x + 69. Suppose -4*t - 46 = -2*q - x*t, 115 = 5*q + 4*t. Calculate the remainder when q is divided by 6.
5
Suppose 85*k - 16 = 81*k, 0 = 5*x - 4*k - 1699. Calculate the remainder when 1067 is divided by x.
38
Let c(f) = 2*f + 5. Let n be c(-1). Suppose -n*m + 2*t = 6*t - 49, -t = -2*m + 40. Let d(b) = -4*b - 4. What is the remainder when m is divided by d(-3)?
3
Let n = -2540 + 2759. Calculate the remainder when n is divided by 83.
53
Calculate the remainder when 230 is divided by ((-50)/4)/((-7)/42) - (1 + 5).
23
Let c be 1/4*-3 + 341124/112. Suppose -12*w = -27*w + c. What is the remainder when w is divided by 54?
41
Suppose a = 5, -7 = -3*u + 2*u - a. Suppose -1 - u = -g. What is the remainder when 23 is divided by g?
2
Let k(m) = -m**3 - 4*m**2 + 2*m - 7. Let i be k(-6). Suppose p = 9 + i. Let a = -13 + p. Calculate the remainder when a is divided by 27.
22
Let z = -9 - -13. What is the remainder when (-123287)/(-6355) - (-2 + (-12)/(-5)) is divided by z?
3
Calculate the remainder when 23 is divided by (-310)/93*48/(-20).
7
Suppose 4*y = 3*q - 961, -y = -6*q + 4*q + 639. What is the remainder when q is divided by 68?
47
Suppose -5*c = 2*c + 3318. Let b = c + 481. Calculate the remainder when 13 is divided by b.
6
Let i = 7012 - 6960. What is the remainder when 277 is divided by i?
17
Let x be 10/(-45) + (-1618)/9. Let p = -153 - x. Let q = 3 - -11. Calculate the remainder when p is divided by q.
13
What is the remainder when 143 is divided by 1 + 7 - (71 + -84)?
17
Suppose 4*x - x - 3087 = -3*p, 4*x + 20 = 0. What is the remainder when (-18 + 17)*(-1 + p)*-1 is divided by 69?
67
Let b(j) = 2*j**2 - 6*j + 6. Let t(n) = -41*n**3 + n**2 + 6*n + 5. Let c be 86/(-129) - (-1)/(-3). Calculate the remainder when t(c) is divided by b(4).
13
Suppose 0 = 5*n + 2*m - 30, -n + 0*m + 2*m + 18 = 0. Suppose -n*k + 84 + 44 = 0. What is the remainder when k is divided by 9?
7
Let r = 172 + -167. Suppose r*l + 36 = 3*y, -33*y = -32*y + 4*l - 12. Suppose 0 = -t + i + 10, -3*t + t - 2*i = 0. What is the remainder when y is divided by t?
2
Suppose 10 = 2*p - 2*d, 0*p - 5*d = 4*p - 56. Suppose 14*l - p*l + 3*b - 1 = 0, 4*l - 2 = -2*b. Calculate the remainder when 19 is divided by l.
1
Let u(x) = 6*x + 79. Suppose -3*i - 23 = 88. Let k = i + 82. What is the remainder when k is divided by u(-11)?
6
Let r be (0 - 2) + 7*3. Let v = 29 - r. Suppose 0 = -i + 2*w + 65, -4*i + 309 = 3*w + 93. What is the remainder when i is divided by v?
7
Suppose -474 = -8*z + 638. Let b(s) = 10*s - 1. What is the remainder when z is divided by b(5)?
41
Let p = -6162 - -6349. Calculate the remainder when p is divided by 184.
3
Calculate the remainder when (-2 - (798/12)/(-19))/((-1)/(-1074)) is divided by 26.
25
Let n = 16 + -20. Let r be 1*(-24)/18*3/(-2). Calculate the remainder when 3 + (42 - n) + r/(-2) is divided by 17.
14
Suppose 16*f = 74*f + 30352 - 100938. What is the remainder when f is divided by 606?
5
Suppose 36817*c - 36461*c = 7120. Let u(f) = 14*f**2 - 5*f - 6. What is the remainder when u(-4) is divided by c?
18
Let o(x) = 161*x - 8274. Calculate the remainder when o(56) is divided by 78.
40
Suppose -10*r + 17766 = 4516. Suppose -12*m = 13*m - r. Calculate the remainder when m is divided by 18.
17
Let f = 819 + -701. Suppose -2*z + 0*l - 4*l + f = 0, -l + 61 = z. What is the remainder when 75 is divided by z?
12