33. Calculate the remainder when 58 is divided by t.
28
Let f(x) = -10*x**2 + 105*x - 33. Calculate the remainder when f(9) is divided by 19.
7
Let a(p) = -p**3 - 11*p**2 - 4*p - 8. Let b be a(-11). Suppose -370 = -7*n + b. What is the remainder when n is divided by 30?
28
Let h be (-74)/(-14) + 12/(-42). Calculate the remainder when 58 is divided by (2 - h/2)/(5/(-150)).
13
Let x be (-58)/8 + (-2)/(-8). Let o(m) = -m + 10. Let i(z) = 4*z + 1. What is the remainder when o(x) is divided by i(1)?
2
Let q(r) = -2*r**2 - 3*r - 5. Let k be (0 - 5) + 1 + -1. Let d be q(k). Let i = d + 63. What is the remainder when i is divided by 4?
3
Let p be 2 + (0 + 2)/2. Suppose 0 = -p*o + 68 + 46. Suppose -4*g + 0*g = -80. What is the remainder when o is divided by g?
18
Suppose -2 = n - 2*n. What is the remainder when n is divided by (-1)/(-4) + (-15)/(-20)?
0
Suppose 0 = -y + 3, 26 + 21 = -n - 5*y. What is the remainder when 62 is divided by n/(-3) + (-3)/(-9)?
20
Suppose 3*i - k - 835 = 0, -3*i + 7*i + k = 1118. What is the remainder when i is divided by 22?
15
Suppose 355 = 5*z - 5*s, 2*z + 0*z = 3*s + 147. Suppose 0 = -5*i + 74 + z. Let x(y) = y**3 + 2*y**2 + y + 82. What is the remainder when x(0) is divided by i?
26
Let g = -405 + 448. What is the remainder when 686 is divided by g?
41
Let r(k) = -5*k**3 + 1 + 3*k**2 - 2*k - k**3 + k**3 + 4*k**3. Let t be r(1). What is the remainder when 39 is divided by 1 + (t + 2 - -6)?
9
Let g(w) = w + 65. Suppose 3*v + 2*v + 70 = 0. Let k = 34 + v. Calculate the remainder when g(-28) is divided by k.
17
Let i(q) be the second derivative of q**4/12 + 25*q**3/6 + 15*q**2 - 18*q. Calculate the remainder when i(-26) is divided by 16.
8
Let o = -221 - -368. Calculate the remainder when o is divided by 75.
72
Suppose -3*m + 5 + 4 = -3*h, 8 = -h + 2*m. Suppose 3*a - h*a = 6. Let v(p) = p**2 - 7*p + 3. Calculate the remainder when a is divided by v(7).
0
Suppose 156 = -2*j + 434. Calculate the remainder when j is divided by 41.
16
Suppose 0 = 3*l - 6, -2*l - 13 = -o - 7*l. Suppose 11 = 4*g + o. Suppose g*k - 3*k = -26. Calculate the remainder when k is divided by 7.
5
Let f(d) = -d**3 + 8*d**2 + 2*d - 2. Let j = 72 + -65. Calculate the remainder when f(j) is divided by 32.
29
Let y be (-4 + 9)/(0 + 1). Suppose -y*r = -0*r - 320. Calculate the remainder when (r/(-10))/((-5)/25) is divided by 11.
10
Let n(r) = r**2 - 4*r + 162. What is the remainder when n(17) is divided by 11?
9
Suppose 316 + 149 = 5*h + 3*a, -5*h = -4*a - 500. Suppose 9*o = 75 + h. What is the remainder when 53 is divided by o?
15
Let h(f) = 51*f**2 + 3*f - 1. Calculate the remainder when h(1) is divided by 19.
15
Let y be 0*(-3 + (-7)/(-2)). Let h(f) = 0*f + 3 - f + y*f. Calculate the remainder when 46 is divided by h(-13).
14
Suppose -3*t + 372 = -3*r, -3*t + 5*r + 236 = -t. Calculate the remainder when t is divided by 20 - -5 - (-2 + 1).
24
Suppose 1528 = 49*n + 401. What is the remainder when 52 is divided by n?
6
What is the remainder when 193 is divided by 4*(2 - 287/(-28))?
46
Calculate the remainder when 293 is divided by (-3)/27 + 10*(-1834)/(-630).
3
Let j be 16/(-120) - (-51)/45. Calculate the remainder when 108 is divided by 209/19*(j + 1).
20
Suppose -j = -4*w - 113, j + 54 = -4*w + 207. What is the remainder when j is divided by 36?
25
Let y = 1803 - 547. What is the remainder when y/32 - (-1)/(-4) is divided by 11?
6
Let h(b) = b - 9. Let u(f) = 2*f - 26. Let z(r) = -11*h(r) + 4*u(r). Let q = -9 - 1. What is the remainder when 71 is divided by z(q)?
21
Suppose -76 - 56 = -4*i. Calculate the remainder when 78 is divided by i.
12
Calculate the remainder when 341 is divided by 3*(670/24 + (-6)/(-8)).
83
Let g(o) = 5*o - 11. Suppose 2*c + 3*c = -135. Let q = c - -45. What is the remainder when g(9) is divided by q?
16
Suppose h = 1, 4*h + 84 = -3*f + 25. Let z(o) = 8*o - 50. Let c be z(10). Let u = f + c. Calculate the remainder when u is divided by 4.
1
Suppose 196 = -5*a - 274. Let t = -72 - a. Calculate the remainder when 41 is divided by t.
19
Suppose -w - 2*s = -3, 51 + 24 = 5*w - 2*s. Calculate the remainder when 82 is divided by w.
4
Suppose 18 = -w - 5*v, -w + 4*v = -0*w + 45. What is the remainder when 77 is divided by (-1 + -51)*(2 + w/12)?
38
Let j be (-4)/(4/(-3)) + -3. Calculate the remainder when 89 is divided by j + -2 - 11/(22/(-24)).
9
Suppose -2*f - 3*v = 2*f - 17, 2*v - 6 = -2*f. Suppose -72 = -f*j - j. Calculate the remainder when j is divided by 5.
3
Let x(h) = -h**3 + 7*h**2 + 8*h - 1. Let w(s) = -s**3 - 11*s**2 + 10*s - 18. Let i be w(-12). Calculate the remainder when x(i) is divided by 14.
13
Let h = -830 + 886. Calculate the remainder when 88 is divided by h.
32
Suppose 5*k + 4*r + 32 - 120 = 0, -k + 3*r = -10. Calculate the remainder when 127 is divided by k.
15
Let m = 172 - 123. Calculate the remainder when 87 is divided by (1/2)/((-8)/32) + m.
40
Suppose -2*g + 5*g + 3*r - 69 = 0, -2*g = -2*r - 62. What is the remainder when 158 is divided by g?
23
Let q be 1057/(-63) - (-10)/(-45). Let s(z) = 6*z + 2. Let x be s(3). Let h = q + x. Calculate the remainder when h is divided by 1.
0
Suppose -3*t - 54 = -2*p, 4*p + 3*t - 4*t = 108. What is the remainder when 46 is divided by p?
19
Suppose 0 = 5*n + 3*n - 1904. Calculate the remainder when 6/(-27) - n/(-18) is divided by 3.
1
Suppose -99*t + 749 = -1132. Calculate the remainder when (-4)/10 - (-1104)/10 is divided by t.
15
Let n = -33 - -36. Suppose 5*f + 136 = 4*o, n*f = 4*o - f - 140. What is the remainder when o is divided by 10?
9
Let o(p) = p**3 - 17*p**2 + 34*p - 17. Suppose 22 = 5*k + 2*j - 43, 0 = k - j - 20. Calculate the remainder when o(15) is divided by k.
13
Let h(b) = -b**3 - 23*b**2 - 25*b - 10. Let r be h(-22). Suppose -q + 38 = 3*i, 4*i + 4*q = -0*q + r. Calculate the remainder when 35 is divided by i.
11
Suppose 24*m - 27*m + 9 = 0. Let d(j) = 6*j - 6. What is the remainder when d(4) is divided by m/(-6)*-28 - 4?
8
Let r(h) be the second derivative of 5*h + 15/2*h**2 + 1/3*h**3 + 0. Calculate the remainder when r(0) is divided by 4.
3
Let j(w) = w**2 + 33*w - 274. Let u(t) = 13*t - 3. Calculate the remainder when u(2) is divided by j(-40).
5
Let q(z) = -z - 1. Let j(w) = -6*w - 10. Let i(k) = 3*j(k) - 15*q(k). Calculate the remainder when 10 is divided by i(-7).
4
Suppose -43*h = -48*h + 86205. What is the remainder when h/126 + (-1)/(-6) is divided by 47?
43
Let b = -2 - -4. Calculate the remainder when (-54)/6 - 132/(-12) is divided by b.
0
Let r be (-1 - 119) + (-3)/(1*-3). Let c = -82 - r. Calculate the remainder when 70 is divided by c.
33
Suppose -3*b + 31 = z - 5*z, -1 = 3*b + 4*z. Suppose 2*q + 23 = h, 4*h + 36 = b*q + 113. What is the remainder when 23 is divided by h?
10
Let s(c) = -23*c - 121. What is the remainder when s(-9) is divided by 11?
9
Suppose -5*p = 4*v - 136, v + 129 = 4*v - 3*p. What is the remainder when 75 is divided by v?
36
Let m = -16 + 46. Let p(c) = -4*c**2 + 16*c + 11. Let s be p(6). Let d = -29 - s. What is the remainder when m is divided by d?
6
Let m(y) = y**3 + 17*y**2 + 19*y - 35. Let p be m(-15). Suppose 9*d - p - 365 = 0. What is the remainder when d is divided by 20?
15
Let n(k) = 2*k + 16. Suppose 3 = -w + 13. Calculate the remainder when n(w) is divided by 20.
16
What is the remainder when 162 is divided by 255/5 + 0/7?
9
Let h(w) = -w**2 - 3*w + 12. Let b be h(-5). Suppose -34 = -3*a + b. Calculate the remainder when a is divided by 4.
0
Suppose -a + 2*i + 1 - 11 = 0, 5*i = 2*a + 16. Let n(d) = d**3 + 11*d**2 - d - 7. Let y be n(-11). What is the remainder when 19 is divided by (-88)/(-9) - y/a?
9
Suppose 0 = -2*o + 2*a + 22, 5*o + a = -0*a + 67. Suppose 144 = 4*m - 4*d, -43 = -m - 5*d + 5. Calculate the remainder when m is divided by o.
12
Suppose -3*u - 3*g + 132 = 0, -g + 6 = 1. What is the remainder when u is divided by 11?
6
Let m = -1244 + 1252. Calculate the remainder when 147 is divided by m.
3
Suppose 4*r - 3*d = -6, 2*d + 0*d - 4 = -4*r. What is the remainder when 142/3 - 1/(3 + r) is divided by 7?
5
Suppose 0*p - 3*p - 9 = 0. Let d = 16 + p. Let f(h) = 2*h**2 + 2*h + 1. What is the remainder when f(-4) is divided by d?
12
Suppose -s + 27 = 4*q, -2*q = 3*s - 37 - 84. Let o = -30 + s. Suppose -4*y