at is the remainder when t is divided by 20?
3
Let a(f) = 12*f**2 - 1075*f - 206. What is the remainder when a(91) is divided by 16?
13
Let g(d) = 2*d - 1. Let u = -1059 + 660. Calculate the remainder when u/(-6) + -2 + (-1)/(-2) is divided by g(6).
10
Let o = -4 + 14. Let n = 321 + -234. What is the remainder when n is divided by o?
7
Let s = -472 - -367. Calculate the remainder when 81 is divided by (280/s)/((-1)/9).
9
Let j(m) = m**2 - 7*m + 15. Let b be j(6). Suppose -b*d + 14*d - 2395 = 0. Calculate the remainder when d is divided by 30.
29
Suppose 27*a - 456 = 4242. Calculate the remainder when 971 is divided by a.
101
Suppose x = 4*n - x - 4, 4*x + 8 = 5*n. Suppose -5*q + 20 = n, -7*i + 5*i - 3*q + 42 = 0. What is the remainder when 25 is divided by i?
10
Suppose 31*f + 1106 - 5586 = -4*f. Calculate the remainder when f is divided by 18.
2
Suppose 5*w = 4*q + 784, -11*q = -2*w - 6*q + 334. Calculate the remainder when 1501 is divided by w.
133
Let d(j) = -j**2 + 65 + j**3 - 15*j**2 - 7 - 29*j - 10*j**2. Let s be d(27). What is the remainder when 180 is divided by (-1 + 2/s)/((-25)/3050)?
58
Let q(s) = -2*s**3 + s**2 + 13*s - 14. Let m be q(1). Calculate the remainder when ((-2694)/(-21))/(m - 45/(-21)) is divided by 53.
50
Let k(h) = h**3 + 17*h**2 + 48*h - 19. Suppose 4*s + 9 = -c, -2*s + s = -2*c - 27. Calculate the remainder when 55 is divided by k(c).
22
Suppose -14*k = -1025 - 501. Let y = 213 - k. What is the remainder when y is divided by 53?
51
Let q(v) = v + 33. What is the remainder when 148 + (-1)/(-1)*-21 is divided by q(0)?
28
Let u(z) = 3*z**2 - z + 2. Let l = -500 - -728. Suppose k - 4*k = -l. Calculate the remainder when k is divided by u(3).
24
Let f(v) = -v**3 + 2*v**2 + 34*v + 7. Let y be f(7). Suppose -4*j + 5*j - 321 = y. What is the remainder when j is divided by 23?
22
Let i = 30796 - 29606. What is the remainder when 4768 is divided by i?
8
Let d(n) = 14*n + 101. Let b(x) = -41*x - 303. Let k(j) = 6*b(j) + 17*d(j). Calculate the remainder when 19 is divided by k(-14).
8
Suppose -1846 = -36*y - 190. Suppose 0 = 5*c + m + 4*m - 55, 5*m - y = -4*c. Calculate the remainder when 12 is divided by c.
3
Let u be ((-4)/(-6))/(4*8/3264). Suppose -55*v = -u*v + 715. Calculate the remainder when 160 is divided by v.
50
Suppose -23*t + 370*t - 104904 = 65*t. Calculate the remainder when t is divided by 66.
42
Suppose -12*z - 58*z - 49*z = -4046. Calculate the remainder when (-1610)/(-8) + 2/(-8) is divided by z.
31
Let l(d) = -d**3 + 7*d**2 + 4*d - 10. Suppose 0 = c + c - 14. What is the remainder when (-184)/(-138)*(150/8 - (-5 + 2)) is divided by l(c)?
11
Suppose -t - 3 = 5*h, t + 1 = 2*h - 6*h. Suppose 26 = -0*v + 2*v. Suppose 0 = x + v - 22. Calculate the remainder when x is divided by t.
2
Suppose 5*s + 13 = 4*w, 34 + 10 = 5*w + 3*s. What is the remainder when 1420 is divided by w?
6
Let a(w) be the third derivative of w**5/10 + 23*w**4/24 + 4*w**3/3 - 26*w**2 + 3*w. Calculate the remainder when 46 is divided by a(-4).
10
Let g = 912 + -907. Suppose 13*t - 165 = -g*b + 14*t, 4*b = -2*t + 118. Let y = -145 - -207. Calculate the remainder when y is divided by b.
30
Let u = 5621 + -5606. Suppose -c = 3*f - 100, -4*c + 2*f = 6*f - 408. Calculate the remainder when c is divided by u.
13
Let z(y) = 245*y - 1504. Calculate the remainder when 701 is divided by z(9).
0
Suppose 3*w + s - 4892 = 0, 2*w + 44*s - 3248 = 40*s. What is the remainder when w is divided by 408?
0
Suppose -73*m + 954211 = 303*m - 1391653. Calculate the remainder when m is divided by 120.
119
Let b(z) = z**3 + 23*z**2 - 2*z + 620. Calculate the remainder when 279 is divided by b(-24).
3
Let t = 6781 - 5801. Calculate the remainder when t is divided by 193.
15
Suppose -4*o = 4*b - 20, b - 5*o = -21 - 4. Suppose -5*r = 2*q - 28 - 12, b = 4*q - 4*r - 52. Calculate the remainder when 116 is divided by q.
11
Let l(u) = -u**2 - 61*u + 741. Calculate the remainder when l(-52) is divided by 135.
129
Let v = -269 - -269. Suppose -4*q - b + 330 = q, -2*b = v. What is the remainder when q is divided by 14?
10
Suppose -25*x = -22*x - 12. Suppose -2*p - 58 = -x*p. Let s = p - -112. Calculate the remainder when s is divided by 36.
33
Let h(m) = 3*m**2 + 7*m + 10. What is the remainder when h(-4) is divided by (-224)/(-96) + 1/(-3)?
0
Suppose 5*a + 380 = 5*j, -6*a + 5*a - 218 = -3*j. Suppose 70*n - 69*n = -3*g + 21, 28 = 5*g + 4*n. Calculate the remainder when j is divided by g.
7
Suppose 0 = -56430*t + 56446*t - 1504. Calculate the remainder when t is divided by (-163)/(-11) - 26/(-143).
4
Let p(c) be the second derivative of -c**4/12 + 13*c**3/2 - 39*c**2/2 - 3*c - 2. Calculate the remainder when 61 is divided by p(37).
26
Let y be (3 + -4)/(-3 - (-28)/10). Suppose -6*g + 29 = -y*g - l, -2*l = -5*g + 130. Calculate the remainder when 166 is divided by g.
22
Suppose -4*x - 956 = 4*c, 2*x = -3*x + 5*c - 1155. Calculate the remainder when 185 is divided by 4/(20/x)*-1.
44
Suppose 52*n - 873 = 375. What is the remainder when n is divided by (-2)/(2 - (-27)/(-12))?
0
Suppose -794*c + 2278 = 783*c - 1560*c. What is the remainder when 361 is divided by c?
93
Let o = -7299 - -7342. Suppose -5*w = x - 165, -4*w + 825 = x + 4*x. What is the remainder when x is divided by o?
36
Let n(s) = s**2 - 18*s - 5291. What is the remainder when 254 is divided by n(83)?
46
Let m(o) = -7*o**3 - 5*o**2 - 4*o - 7. Let a be 9/((-126)/4) - 4/(-14). Suppose a*p - 5*p - 15 = 0. What is the remainder when m(p) is divided by 30?
29
What is the remainder when -3 - (-16024)/184 - (-10)/(-115) is divided by 32?
20
Let d(w) = 2*w**3 - 9*w**2 + 7*w - 11. Let c be d(4). Let u(q) = 23*q - 11. What is the remainder when 12 is divided by u(c)?
0
Let i(c) = -49*c - 161. Let r be i(-9). Let d = 298 - r. What is the remainder when d is divided by 12?
6
Let z(y) = 4*y**2 + 23*y + 13. Suppose 0 = n + 20 - 11. What is the remainder when z(n) is divided by -22*(-2)/((-12)/(-9))?
31
Let c(i) = -i**3 + 17*i**2 + 22*i + 5. Let f be c(18). Let m be 461 + (4/22 - (-63)/f). Suppose m + 119 = 7*d. What is the remainder when d is divided by 17?
15
Let t(v) = 2782*v - 10 - 2780*v + 4. Let y be ((-12)/1)/4 + 8. Calculate the remainder when 13 is divided by t(y).
1
Let p(u) = -13*u - 59. Let q be -11 + ((-54)/(-36))/(2/4). Calculate the remainder when p(q) is divided by 24.
21
Let q(n) = 583*n**2 + 19*n + 34. Let m be q(-2). Calculate the remainder when 259 is divided by 6/45 - m/(-90).
25
Let g = -821 + 1218. Calculate the remainder when g is divided by 21/(-5)*15895/(-1683) + (-8)/(-24).
37
Let d be -10*((-4)/(-18))/(15/27). Calculate the remainder when 122 is divided by -730*d/70 - (-2)/7.
38
Let v(p) = p - 1 + 2 - 11 + 1. Let a be v(11). Suppose -a*u - 5*u + 49 = 0. What is the remainder when 27 is divided by u?
6
Let s(n) = 4*n**2 - 77*n + 506. What is the remainder when 958 is divided by s(9)?
136
Let z be 3/15 + 18/10. Suppose -25 = -z*r - 3*r. Suppose -221*w + 258*w - 407 = 0. What is the remainder when w is divided by r?
1
Suppose 0 = -94*u + 263990 + 185800. What is the remainder when u is divided by 682?
11
Suppose 79 = 22*o - 9. Suppose -h + o*y - 8*y = -11, 2*h + 5*y = 25. Calculate the remainder when 117 is divided by h.
12
Suppose 139*k + 2694 = 5*q + 135*k, 0 = -3*q - 4*k + 1578. What is the remainder when q is divided by 525?
9
Let c = 39237 + -39188. Suppose -5*o + 2*o + 48 = 0. What is the remainder when c is divided by o?
1
Calculate the remainder when (-3 - 236/(-16))*(56 + -28) is divided by 183.
146
Let n(t) = t**3 + 23*t**2 - 47*t + 77. Let v be n(-25). Suppose 117 = c - f + 2*f, -v*f = 0. What is the remainder when c is divided by 25?
17
Let s(a) = 6*a**2 + 347*a - 3. Calculate the remainder when s(-59) is divided by 16.
10
Let s = 11 + -6. Suppose -17 = -s*g + 83. What is the remainder when g is divided by 91/14*(-204)/(-221)?
2
Suppose 98*k = 101*k. Suppose -21*c + 16*c + 615 = k. Calculate the remainder when c is divided by 9.
6
Let o = -1035 - -2829. Suppose 0 = 22*u - 9*u - o. Let h(t) = 8*t - 5. What is the remainder when u is divided by h(5)?
33
Suppose -707*p - 733*p + 945 = -1305*p. Let s = -24 - -1. Let m = -3 - s. What is the remainder when m is divided by p?
6
Let w(q) = -2*q**3 + 78*q