33*d - 34*d - 1933, -4832 = -5*t + 2*d. Calculate the remainder when 978 is divided by t.
12
Let t(a) = 2*a**3 - 31*a - 21*a**2 + 237 - 476 + 243. Calculate the remainder when 254 is divided by t(12).
62
Suppose 0 = -w + 35 + 91. Suppose -w = -7*r + r. Calculate the remainder when 17/17*(-156)/(-4) is divided by r.
18
Suppose 0*j - 14232 - 5088 = -84*j. Calculate the remainder when 904 is divided by j.
214
Let m(i) = -2*i**3 - 10*i**2 + 32*i + 195. Calculate the remainder when 125 is divided by m(-5).
20
Suppose -5*h = -4*n + 1341, 4*n - 2*h - 1337 = -h. Let k = -147 + n. What is the remainder when k is divided by 7?
5
Suppose 5*v - 8136 = -4*q + 572, -3*q + 6504 = -3*v. What is the remainder when q is divided by 542?
4
Let l(z) = 2*z - 7. Let q be l(5). Suppose 18 = -q*c + 6, 2*c = -y + 76. Let a = 1582 + -1553. What is the remainder when y is divided by a?
26
Let h(n) be the first derivative of -23*n**2/2 - 29*n - 44. Calculate the remainder when h(-6) is divided by 22.
21
Let k = -14383 - -14521. What is the remainder when 12142 is divided by k?
136
Suppose -15 = -4*p - 3*a, -3*p - a = -1 - 9. Suppose 3*w - p = -4*v + 2*v, w = 4*v - 27. Suppose -v = 2*o - 32. What is the remainder when 50 is divided by o?
11
Suppose -u = -5*a + 44, 145*u - 141*u = 4*a - 48. What is the remainder when 125 is divided by a?
5
Let c(r) = r**3 + 6*r**2 - 7*r - 12. Let d be c(-6). Let p = 53 + -18. What is the remainder when p is divided by d*((-144)/(-27) - 5)?
5
Let o = -29 - -33. Suppose -m - f = f - 112, o*f = -5*m + 536. Calculate the remainder when m is divided by 36.
32
Let d(l) = 52*l + 312. Calculate the remainder when 179 is divided by d(-5).
23
Let y = -50 - -92. Let l = -32 + 38. Suppose -2*b = -28 + l. What is the remainder when y is divided by b?
9
Let t = 10652 - 10496. What is the remainder when 1709 is divided by t?
149
Let x(t) = 78*t + 1. Suppose 3*p - 30 = -12*p. What is the remainder when x(p) is divided by 32?
29
Suppose h = -94*f + 91*f + 16, -5*f + 3*h = -8. Let b(m) = 2*m**3 - 5*m**2 + 6*m - 4 + 0*m + 0. Calculate the remainder when b(f) is divided by 18.
14
Suppose -7*g = -4*g - 2*x - 10, -5*x - 20 = -5*g. Suppose 682 = g*s + 4*f - 500, f = 4. What is the remainder when s is divided by 73?
72
Let j(q) = -3*q - 3. Let m be j(3). Let w(t) = -3*t - 4. Calculate the remainder when 3/(54/2842) - 5/(-45) is divided by w(m).
30
Suppose -3*y + 27 = 2*n - 46, -5*y = 3*n - 120. Suppose -4*i - y = z + 48, -3*i = -z + 43. Calculate the remainder when 26 is divided by (-136)/i - (-6)/4.
6
Suppose 43*a - 4060 = 38*a. Suppose 20 = 16*w - a. Let v(u) = u**2 - 7*u + 6. Calculate the remainder when w is divided by v(8).
10
Suppose 2*x - 24 = -4*r, -5 - 15 = -x - 4*r. Let k(l) = l**3 - 4*l**2 + 4*l + 3. Calculate the remainder when 66 is divided by k(x).
9
Suppose 0 = -183*n - 50*n - 753 + 4947. Calculate the remainder when 249 is divided by n.
15
Suppose 0 = -t - 2 + 11. Let z = -806839 + 807449. What is the remainder when z is divided by t?
7
Suppose 1156 = 58*x + 60*x - 3210. Calculate the remainder when 2643 is divided by x.
16
Let y = 68 + -78. Calculate the remainder when 100 is divided by (-4)/y + ((-1981)/(-35) - 13).
12
Suppose -13*c + 25985 - 4836 = -17474. Calculate the remainder when c is divided by 48.
43
Suppose -7 = -12*c + 65. Let m(p) be the first derivative of -p**3/3 - 2*p**2 + 15*p + 9. What is the remainder when c is divided by m(-6)?
0
Let c = -22881 + 23163. What is the remainder when 1315 is divided by c?
187
Suppose -120*u - 10581 + 32501 = 40*u. Calculate the remainder when 216 is divided by u.
79
Let a = -19 + 14. Let s(m) = -m**3 - 4*m**2 + 6*m - 7. Let t be s(a). Calculate the remainder when 72 is divided by 6/8 - (339/t - -4).
22
Suppose -20*f + 19*f + 2*r + 244 = 0, r = -5*f + 1165. Calculate the remainder when f is divided by 78.
0
Suppose m + 2*m - 5*z + 8 = 0, 0 = -5*m - 2*z - 34. Let b be -3 + (1 + m)*(-14)/10. Suppose 0*j - b*j = -392. What is the remainder when j is divided by 34?
30
Suppose 34*h - 488 = 2096. What is the remainder when 448 is divided by h?
68
Let h = 1285 + -45. Calculate the remainder when h is divided by 17.
16
Suppose -2666*h - 220 = -q - 2669*h, -4*h + 1034 = 5*q. Suppose -2*i + 4 = -0*i. Suppose 104 = 2*t + i. Calculate the remainder when q is divided by t.
49
Let h be (-1)/(-2 + 3/2). Suppose 9*i + h*z = 7*i + 28, 2*i = -z + 23. Let s = -15 - -20. What is the remainder when i is divided by s?
4
Let o = -6426 + 6447. What is the remainder when 108 is divided by o?
3
Let v(w) = w**2 - 15*w - 20. Let r(x) = 2*x**2 - 23*x - 30. Let z(y) = 5*r(y) - 8*v(y). Calculate the remainder when 97 is divided by z(-3).
6
Let w be 220/12*12/10. Suppose -3*k + w = o, k - 6*k + 30 = 5*o. Calculate the remainder when 278 is divided by k.
6
Let j(k) = -2*k**2 + 172*k**3 - 91*k**3 - 3*k - 3 - 101*k**3. What is the remainder when j(-2) is divided by 32?
27
Let y = -3 + -2. What is the remainder when (-7 + 5 - -2) + -2 + 21 is divided by (-35)/14*6/y?
1
Let o = -16361 + 16368. What is the remainder when 671 is divided by o?
6
Calculate the remainder when 544 is divided by (-2 + 16/5)/((-2)/(-5)).
1
Let k(a) = a**2 - 5*a - 556. What is the remainder when k(-27) is divided by 10?
8
Let r(m) = -m**3 + 5*m**2 - m - 1. Let j = -58 + 38. Let q = -19 - j. Calculate the remainder when r(2) is divided by q.
0
Let y(g) = -15*g + 182. What is the remainder when 205 is divided by y(7)?
51
Suppose 2*o - 287 = -5*j - o, -o + 59 = j. What is the remainder when j is divided by (-3198)/(-91) + 2 - 1/7?
18
Let h(t) = -2*t - 31. Let l = -43 + 25. Let o be h(l). Suppose -43 = -o*w + 7. Calculate the remainder when 55 is divided by w.
5
Suppose 261 = 11*n - 432. Let m = n + -52. Calculate the remainder when 29 is divided by m.
7
Let i(j) = -276*j + 636. Calculate the remainder when 4953 is divided by i(2).
81
Calculate the remainder when 4 + (-20 - 928)/(-2) is divided by 261.
217
Suppose -2*w = -4*q + 874, 1094 = 6*q - q - w. Let j(r) = 150*r + 310. Calculate the remainder when q is divided by j(-2).
9
Suppose -4*g - 4*k = 32, -5*g = -3*k - k + 40. Let o be (1 - 0) + 90 - (-16 - -18). Let w = o - g. Calculate the remainder when w is divided by 7.
6
Let n(m) = -9*m**3 - 2*m**2 - 21*m - 25. What is the remainder when 889 is divided by n(-2)?
79
Let z be (-14 + 0)/((-6)/1149). Suppose -z*y = -2690*y + 36. Calculate the remainder when -1*22/5*-5 is divided by y.
2
Suppose 52*f - 11*f = 11486 - 4024. Calculate the remainder when 2546 is divided by f.
180
Let u(f) = f**2 - 36*f + 233. Let s be u(28). Suppose -2*r + 5*g = -13, -5*g = s*r - 10*r + 4. What is the remainder when 15 is divided by r?
6
Let q = -33 - -78. Let l = 20 + -20. Suppose l = 2*p - 4*p + 264. What is the remainder when p is divided by q?
42
Let o(t) = -7*t + 5. Let w be o(0). Suppose -74 = w*h - 249. Calculate the remainder when 67 is divided by h.
32
Let c = 30 + -26. Suppose -277 = -3*y - 5*r, 7*y - 313 = 4*y + c*r. What is the remainder when y is divided by 38*5/5 - 4?
31
Let n = -2 - -3. Suppose -5*f - 186*p + 183*p + 489 = 0, -2*p - 263 = -3*f. What is the remainder when f is divided by 2 + 13 - n/(-1)?
13
Let h be 20*5/(-10)*-1. Suppose -h*j = -352 + 42. What is the remainder when j is divided by 8?
7
Let r(y) = -y**2 - 11*y + 3. Let h be r(-12). Let k(b) = b**3 + 8*b**2 - 20*b - 39. Calculate the remainder when k(h) is divided by 9.
6
Calculate the remainder when -8 + ((-192)/(-15))/(52/20150) is divided by 127.
126
Suppose -18*d + 42*d - 72 = 0. Let h(b) = -5*b + 54. What is the remainder when h(8) is divided by d?
2
Let n = 7101 - 5350. Calculate the remainder when n is divided by 6.
5
Suppose 42*x - 5885 = -2063. What is the remainder when 438 is divided by x?
74
Let s be -16*5/(10/18). Let n = -77 - -85. What is the remainder when -1 - s/(4 - 1) is divided by n?
7
Suppose -16*c - 21*c + 2550 = -7*c. Calculate the remainder when 184 is divided by c.
14
Suppose 3*j + 268 - 79 = 0. Let d = -8 - j. What is the remainder when d is divided by (-92)/(-4) - (18/(-3) + 1)?
27
Suppose 27*c - 4720 + 832 = 0. Calculate the remainder when c is divided by 83.
61
Suppose 5 - 5 = p. Let n(h) = 3*h**2 + 316 + h + p*h - 321. What is the remainder when 71 is divided by n(-3)?
14
