 - 1740. Calculate the remainder when t is divided by 23.
20
What is the remainder when 54/(15 - (-15652)/(-1044)) is divided by 25?
22
Let i = 113 + -97. Suppose -15*f = -11*f + i, -18 = -x + 4*f. What is the remainder when 634/10 - 4 - x/5 is divided by 15?
14
What is the remainder when 2816 is divided by 11 + (48/(-132) - 365/55)?
0
Suppose -2*b - s = 3*s - 52, -s + 94 = 5*b. Let p(r) = r**2 - 5*r. Suppose 19*z - 22*z - 15 = 0. What is the remainder when p(z) is divided by b?
14
Let s be (-1)/4 + 78/24. Suppose 0 = 5*t + 35, -5*a - 17*t + 72 = -18*t. Calculate the remainder when a is divided by s/15 + (-78)/(-10).
5
Let d = -134 - 36. Let p = d + 210. What is the remainder when p is divided by 22?
18
Let p be (-156)/(-2) + -3 + 2. Let q = p - 19. Calculate the remainder when q is divided by 16.
10
Suppose 162 = 5*r - 4*w - 94, 5*w + 47 = r. Let b = r + -8. Calculate the remainder when b is divided by 15.
14
Let n be 5 + -6 - 1*(-3 - 38). Suppose c - 3*p = n + 1, -2*p = 10. Calculate the remainder when c is divided by 15.
11
Suppose 6*z + 5*z = -z + 2472. What is the remainder when z is divided by 106?
100
Suppose 0 = r + 2*u + 10, -r - 4*u - 11 = 7. What is the remainder when (5/35 - 3)/((-2)/14) is divided by 316/28 + r/7?
9
Calculate the remainder when 205 is divided by ((-230)/15)/(11/((-99)/6)).
21
Let g(a) = a + 8. Let q(y) = -26*y + 5. Let u be q(0). Calculate the remainder when 55 is divided by g(u).
3
Let j(f) = 22*f**2 + 1165*f + 66. Calculate the remainder when 481 is divided by j(-53).
5
Suppose 46*s = -13 + 473. Calculate the remainder when 2233 is divided by s.
3
Suppose 0 = 3*t - 290 + 101. Suppose 22*p + 405 = -443 + 1684. Calculate the remainder when t is divided by p.
25
Let z(b) = -23*b - 64. Let w be z(-3). Suppose -2*n + 1 = -9. What is the remainder when (-7 + w + -4)/(9/(-42)) is divided by n?
3
Suppose 2*k - 3*i - 44 = 0, -5*k - 3*i + 8*i = -100. Calculate the remainder when (-4 + 10 + 0)/(4/106) is divided by k.
15
Let n(k) be the third derivative of 3*k**5/5 - 5*k**4/8 - 8*k**2. Let u(j) = -13*j + 106. Let s be u(8). What is the remainder when n(s) is divided by 39?
36
Let n(h) = 10*h**2 + 3*h + 1657. Calculate the remainder when n(0) is divided by 98.
89
Suppose 58 = 8*m + 4 - 74. Calculate the remainder when 42 is divided by m.
10
Suppose 64*q - 60*q - 3*s - 114 = 0, q + 3*s - 21 = 0. What is the remainder when 424 is divided by q?
19
Let f(l) = -2*l**2 + 68*l + 7. Let n be 2 + ((-14)/21 - (-95)/3). Calculate the remainder when f(n) is divided by 39.
34
Suppose -57*v + 15959 = -913. Let k = 28 - 17. Calculate the remainder when v is divided by k.
10
Calculate the remainder when 844 is divided by (-8 - (4 + 0))/((-9)/36*6).
4
Let p = -796 - -887. Calculate the remainder when p is divided by 18.
1
What is the remainder when 1 + 4 - -10*460/100 is divided by (60/9)/(1/3)?
11
Suppose -6*q - 493 + 4009 = 0. What is the remainder when q is divided by 147?
145
Suppose -30*w + 216 = -25*w + 3*f, 210 = 5*w + 5*f. What is the remainder when 33 is divided by (w/27)/((-3)/(-9))?
3
Suppose -u - 3*u + 124 = -3*z, 0 = 3*u - 5*z - 82. Suppose -p + 73 = -4*c, -4*c - 203 = -36*p + 33*p. What is the remainder when p is divided by u?
31
Suppose 2*n - 598 = 5*m, 1178*m - 1173*m = 3*n - 897. What is the remainder when n is divided by 10?
9
Calculate the remainder when (-172 - -4)/(((-4)/290)/(13/65)) is divided by 188.
180
What is the remainder when 749 is divided by 97 - (-960)/(-144)*3/(-2)?
0
Let z(c) = -9*c + 173. Let h be z(19). Suppose -h*p + 100 = t, 5*t = 2*t - 6. Calculate the remainder when 305 is divided by p.
50
Let q = -1238 + 1253. Let n(i) = 130*i**2 + 1. Calculate the remainder when n(-1) is divided by q.
11
Let h(q) = -3. Let i(k) = -k + 4. Let d(f) = -4*h(f) - i(f). What is the remainder when 264 is divided by d(-4)?
0
Suppose 14*i = 17*i - 18. Calculate the remainder when 236 is divided by i.
2
Suppose 2*x = 3*r - 130, 5*r = -5*x + 262 - 12. What is the remainder when 704 is divided by r?
14
Let h(k) = -k**2 + 6*k + 5. Let g be h(6). Let p(a) = -3*a - a + g*a + 32 - 2*a. What is the remainder when 42 is divided by p(10)?
20
Suppose -90 + 580 = 5*n. Calculate the remainder when n is divided by (-108)/(-6) + (-30)/(-5) + 1.
23
Suppose -2*u - 13 = 5*g, 15*g - 10*g = 2*u - 37. Suppose -22*t + 80 = -162. Calculate the remainder when t is divided by u.
5
Suppose -2*p + 1446 = 9*c - 11*c, 2145 = 3*p + 5*c. What is the remainder when p is divided by 238?
6
Let y = 4390 + -4334. Let x = -5 + 6. What is the remainder when y is divided by ((-45)/6)/(x/(-2))?
11
Let y = 14021 - 2087. Calculate the remainder when y is divided by 77.
76
Suppose -9170 = -18*k + 11602. Calculate the remainder when k is divided by 77.
76
Let z = 175 - -52. Suppose z = 3*f - 4. Suppose -80 = -3*t - t. What is the remainder when f is divided by t?
17
Let i be (-8)/3 - (-124)/(-12). Suppose -2*z = -3*z - 44. Let m = i - z. What is the remainder when m is divided by 17?
14
Let q = -45 - -63. Let n = q - 20. Calculate the remainder when 2 is divided by n - -5 - ((3 - 4) + 3).
0
Suppose 470*u = 471*u + 3. Let f(b) = 3*b**2 + 15*b + 37. What is the remainder when 37 is divided by f(u)?
18
Let d(m) = -5*m**2 + 27 - 9*m**3 + 8*m**3 - 12*m - 44. Calculate the remainder when d(-3) is divided by 1.
0
Suppose -3*k - 3*b = -54, 3*k + 0*b - 22 = 5*b. Let j = -221 - k. Let q = -122 - j. Calculate the remainder when q is divided by 29.
26
Let s = 7 + -3. Suppose s*i + i - 80 = 0. Suppose -n + 37 = d, -4*d + 2*n = -2758 + 2586. What is the remainder when d is divided by i?
9
Let g = 208 + 18. Suppose 0 = -4*q - 2*v + g, 4*q - 7*q - 2*v + 167 = 0. What is the remainder when q is divided by 5?
4
Suppose -9 = -r - 4*s, -3*s + 5 = 2. Suppose -4*f + 3*n - 50 + 13 = 0, 15 = -f - r*n. Let m = f + 23. What is the remainder when 23 is divided by m?
10
Suppose 0 = -3*k + 6*k + 2*t - 85, 5*k - 142 = -3*t. What is the remainder when 2/8 - (-1095)/20 is divided by k?
26
Let p(s) = 6*s**3 + s**2 + 2*s - 4. Let g be p(3). Suppose 35 = -6*c + g. Let y = 750 + -638. What is the remainder when y is divided by c?
20
Suppose 28*s = -236 + 880. Let c(x) = -3 + 0*x**3 + 0*x**3 - x**3 + 7*x + 4*x**2 - 2. Calculate the remainder when s is divided by c(5).
3
Suppose -3*k - 1158 - 91 = -2*j, -4*j + 2543 = 3*k. What is the remainder when j is divided by 113?
67
Let a(t) = -25*t - 4. Let i(x) = x**3 + 8*x**2 - 27*x - 129. Calculate the remainder when a(-4) is divided by i(-9).
30
Suppose 5*l = -0*a - 2*a - 504, -4*a - 988 = 5*l. Let u = a + 275. What is the remainder when 97 is divided by u?
31
Let v(p) = p**2 - 4*p - 6. Let g be v(4). Let x(a) = -4*a - 10 - a**3 + 0*a**2 + a**2 - 7*a**2 + a. Calculate the remainder when 14 is divided by x(g).
6
Suppose 0 = 24*f - 41*f + 238. What is the remainder when ((-4)/f)/(9/(-1071)) is divided by 19?
15
Let i be 1*(40 + 12/3). Let y = i - 54. Let u(s) = -9*s - 15. Calculate the remainder when u(y) is divided by 20.
15
Suppose -4*c + 228 = -88. Let z = -23582 - -23604. Calculate the remainder when c is divided by z.
13
Let w(s) = s**2 - 7*s - 793. Let r(g) = g**3 + 6*g**2 - g + 2. What is the remainder when r(-5) is divided by w(32)?
4
Let x(j) = -j**3 - 64*j**2 + 131*j + 140. What is the remainder when x(-66) is divided by 21?
17
Let y = -1251 + 1419. Calculate the remainder when y is divided by ((-34)/8)/(20/(-80)).
15
Suppose 0 = 22*f - 7*f - 300. Let q(h) = 6*h + 79. Calculate the remainder when q(f) is divided by 50.
49
Let f(h) = -101*h + 4. Let c be f(-1). Let y = c + -70. What is the remainder when y is divided by 18?
17
Suppose 2*f = -5*t - 2*f + 60, -4*f = 0. Suppose 756 = -12*q + 7*q - 3*w, -291 = 2*q + 5*w. Let o = 188 + q. What is the remainder when o is divided by t?
11
Let m(a) = -459*a + 3393. Calculate the remainder when 1257 is divided by m(7).
177
Let i be (4*(-1 - 0) - -4)/4. Suppose 4*r + r - 41 = 4*f, -3*r + 4*f + 23 = i. What is the remainder when 23 is divided by r?
5
Let y(m) = 4*m**2 - 17*m + 109. Suppose 0 = 294*p - 298*p + 24. What is the remainder when y(p) is divided by 27?
16
Let d(p) be the third derivative of -p**5/60 - p**4/8 + 16*p**3/3 + 5*p**2 + p. What is the remainder when 22 is divided by d(-6)?
8
Suppose 0 = -3