- 5. Calculate the remainder when w(o) is divided by 11.
8
Suppose q - 3 = -3*w, -q - 4*w = -2*w - 3. Suppose q*u - 2*p - 216 = 0, -2*p - 287 = -4*u + p. What is the remainder when u is divided by 26?
22
Suppose 0 = -14*j + 223 - 83. What is the remainder when 57 is divided by j?
7
Suppose 13 = 2*r - 2*g - 97, 4*g - 180 = -4*r. Let m = -9544 - -9557. Calculate the remainder when r is divided by m.
11
Let j(o) = -o + 2. Let h be j(4). Let s be 149/3 - (-6)/(-9). Calculate the remainder when 41 is divided by h/7 - (-1043)/s.
20
Suppose -5*g = -2*g. Let w(z) = 3*z**2 - 2*z - 4. Let q be w(3). Let s = g + q. What is the remainder when 32 is divided by s?
15
Let k = -54 + 24. What is the remainder when 6/k - (-372)/10 is divided by 13?
11
Suppose -75 = -13*f - 10. Calculate the remainder when 6 - f - (-24 + (-2)/1) is divided by 15.
12
Let k(c) = 327*c**3 + c**2 + 4*c - 4. Calculate the remainder when k(1) is divided by 84.
76
Let f(x) = x + 13. Let w be f(-11). Suppose q = -3*m - q + 46, 8 = -w*q. Calculate the remainder when 67 is divided by m.
13
Let y = -127 - -141. Calculate the remainder when 109 is divided by y.
11
Suppose -3*t = -3*z + 72, -t = -4*t + 5*z - 72. Let g = t - -42. Let q = 22 - 12. Calculate the remainder when g is divided by q.
8
Let u be (-208)/(-56) - (-2)/7. Suppose u*x + 0*f - f - 72 = 0, -4*x + 3*f + 80 = 0. Calculate the remainder when x is divided by 14.
3
Let d = -17 - -29. Suppose r - 5*f + 3 = -4, 4*f = d. Calculate the remainder when (38/5)/((-1)/(-5)) is divided by r.
6
Let h(g) = -g**3 + 33*g**2 + 80*g + 47. What is the remainder when h(35) is divided by 82?
69
Suppose 0 = -q - 0*g - 2*g - 1, 4*q - 5*g = -69. Let f = q - -27. Suppose n - 11 = f. What is the remainder when n is divided by 7?
6
Suppose 0 = 2*y - 5*y. Suppose -5*b + 2*b + 297 = y. Let q = b + -52. What is the remainder when q is divided by 16?
15
Let s = 333 + -314. What is the remainder when 35 is divided by s?
16
Let c = -109 - -146. Suppose -p + 3*z + 32 = 0, -4*p - 4*z + 11 = -c. Calculate the remainder when p is divided by 5.
2
Let f(s) = -2 + 3*s**2 - 3*s**2 + 8*s**2 + 5*s - s**3. Let l be f(8). Calculate the remainder when 55 is divided by (l/3)/((-14)/(-21)).
17
Suppose -69 - 93 = -9*y. What is the remainder when 142 is divided by y?
16
What is the remainder when (351/18)/(-3)*-8 is divided by 14?
10
Let g(m) = 25*m**3 + m**2 - 1. Calculate the remainder when g(1) is divided by (12/7)/((-21)/(-147)).
1
Suppose -5*s - 9 = -54. Suppose -3 = 8*l - s*l. Suppose l*b = 51 - 12. What is the remainder when b is divided by 2?
1
Suppose -3*v = -6*v + k + 33, 3*k = -3*v + 21. Calculate the remainder when (-22 - 0)*-6*9/12 is divided by v.
9
Suppose -6*k = -k - 95. Suppose -16*c + k*c = 6. Suppose -g - 4*r + 17 = 0, -4 = -5*g + 4*r - 15. What is the remainder when c is divided by g?
0
Suppose -105 = -5*b + 795. Suppose b = 5*s + s. Calculate the remainder when s is divided by 11.
8
Let s(c) = -c**2 - 11*c - 9. Let n = -342 - -353. What is the remainder when s(-6) is divided by n?
10
Suppose -3*f = d - 7, -3*f + 6*d + 15 = 3*d. Suppose -z = x - 38, -f*z + 156 = 4*x - 0*z. Calculate the remainder when x is divided by (-25 - -3)/(-1 + -1).
9
Let p = 309 - 189. What is the remainder when 359 is divided by p?
119
Let x = 15 - 11. Let j be (-5 + x)/((-2)/104). Suppose -7*k + j = -3*k. What is the remainder when 24 is divided by k?
11
Let x = -367 + 372. Calculate the remainder when 181 is divided by x.
1
Suppose x + 231 - 779 = -2*v, -x + 3*v + 528 = 0. Suppose -7*m + x = -m. What is the remainder when m is divided by 13?
12
Let l(s) = 2*s**3 - 13*s**2 + 7*s + 3. What is the remainder when 16 is divided by l(6)?
7
Suppose -3*q - 4*u + 382 = 0, 19*q - 14*q + u - 665 = 0. What is the remainder when 933 is divided by q?
129
Let c = 1179 + -1038. What is the remainder when 149 is divided by c?
8
Suppose 3*m + 4 = 3*u + 1, 2*m - 5*u = -17. Suppose f + m = -4*f + z, 3*f - 4*z = -16. Let r(g) = -g + 13. Calculate the remainder when 25 is divided by r(f).
12
Suppose -41 = -4*q + 51. What is the remainder when 113 is divided by q?
21
Let c(j) = -j**3 - 8*j**2 - 14*j - 9. Let m be c(-6). Suppose m*l + q - 72 = 756, 1099 = 4*l + 3*q. Calculate the remainder when l is divided by 31.
29
Let d = 251 + -248. Calculate the remainder when 13 is divided by d.
1
Let a = 1621 + -1389. Calculate the remainder when a is divided by 97.
38
Let u(m) = -5*m**3 + 209*m**2 + 48*m + 96. What is the remainder when u(42) is divided by 50?
48
Suppose 0 = y + 3 - 9. Suppose -y + 105 = s. What is the remainder when s/5 - (-3)/15 is divided by 11?
9
Let u(n) = -8*n**2 + 2*n - 3. Let y be u(2). Let r = -27 - y. Calculate the remainder when 7 is divided by r.
3
Let r be 1010/12 - (-1)/(-6). Let t = 14 - 0. Suppose 10*j + r = t*j. What is the remainder when j is divided by 11?
10
Suppose 0 = -4*k + 2*n - 343 + 1085, 0 = -2*k - 4*n + 386. Suppose 4*g + 0*g = 188. What is the remainder when k is divided by g?
46
Suppose 33*t - 29*t - 1712 = 0. What is the remainder when t is divided by 13?
12
Calculate the remainder when (-8)/24 - (-914)/6 is divided by 13.
9
Suppose 72 = h + 53. What is the remainder when 151 is divided by h*((-12)/(-30) + (-3)/(-5))?
18
Suppose -4 - 38 = 6*g. Calculate the remainder when 27 is divided by (-18)/(-63) + (-96)/g.
13
Let l(u) = -20 + 6*u + 3*u**2 + 16 - 3*u. What is the remainder when l(-4) is divided by 12?
8
Suppose 18*v - 9*v = 126. What is the remainder when 68 is divided by v?
12
Let j(i) be the third derivative of -i**5/60 + 13*i**4/24 - 19*i**3/6 + i**2 - 4*i. Calculate the remainder when 67 is divided by j(9).
16
Let q(d) be the third derivative of -49*d**6/40 - d**4/8 - d**3/3 + 2*d**2. What is the remainder when q(-1) is divided by 50?
48
Let j = 0 + 1. Suppose -t + 4 = -j. Suppose -3*v = 2*v + 5*i - 255, 0 = -2*v + t*i + 109. What is the remainder when v is divided by 18?
16
Suppose k - 5*j + 6*j = 39, 2*j = 4*k - 168. What is the remainder when 327 is divided by k?
40
Suppose 2*n = 35 - 169. Calculate the remainder when (-6)/12*(n - (-3)/(-3)) is divided by 7.
6
Let x(z) = -z + 1. Let d(s) = -35*s - 2. Let k(j) = d(j) + 4*x(j). Calculate the remainder when k(-1) is divided by 23.
18
Let v = 23 - 21. Let z = v - -15. What is the remainder when z is divided by 1*-8*15/(-12)?
7
Suppose 0 = -5*p, -3*p = 2*h - 8*p - 152. Let q = h + -68. What is the remainder when 37 is divided by q?
5
Let b = 20 - 18. What is the remainder when 3 is divided by (7 - 8)*(-2)/b?
0
Let j = 42 - -49. What is the remainder when 283 is divided by j?
10
What is the remainder when 387 is divided by (585/(-6))/(-1)*52/65?
75
Let t be 0 + (95 + 3)/2. Let x = 14 + t. Calculate the remainder when x is divided by 17.
12
Let j(t) = -t**3 - 32*t**2 - 28*t + 125. Calculate the remainder when 158 is divided by j(-31).
30
Let z be ((-9)/(-6))/((-6)/(-104)). Let u = 57 + -38. Let m = z - u. Calculate the remainder when 11 is divided by m.
4
Let r be (-1 - -45)*(-14 + 13). Let m = 7 + 26. Calculate the remainder when m is divided by (8 + r)/(-2 + 0).
15
Let n = -212 - -225. What is the remainder when 1/(-3) - (-229)/3 is divided by n?
11
Let w be 1/((-2)/(-86)) - -2. Let q = -37 + w. What is the remainder when 29 is divided by q?
5
Let g = 7 - 3. Calculate the remainder when (-143)/39*(1 + 1 + -5) is divided by g.
3
Let d = -181 + 264. Let y = d + -76. Calculate the remainder when 31 is divided by y.
3
Suppose -15*p + 754 = -2*p. Suppose x - 65 = -45. Calculate the remainder when p is divided by x.
18
Suppose h + g = -3*h + 259, -320 = -5*h - 2*g. Calculate the remainder when h is divided by 2.
0
Suppose k - 3*k = -6. Suppose 0*i + 31 = 3*i - 2*s, -k*s + 47 = 4*i. What is the remainder when 42 is divided by i?
9
Let x(m) = 4*m**2 - 3*m + 11. Calculate the remainder when 112 is divided by x(3).
36
Suppose 4*a = 10*a - 144. Calculate the remainder when 166 is divided by a.
22
Suppose -2*b + 7*b - 43 = -3*d, -54 = -4*d - 5*b. Suppose 2*w = 3*w. Suppose 4*u = -8, -4*f - 3*u + 118 = -w*u. Calculate the remainder when f is divided by d.
9
Let h = -183 + 199. What is the remainder when h is divided by 9?
7
Let v(m) be the first derivative of 3*m**2/2 - 14*m + 12. Let y(p) = p - 3. What is the remain