
12
Let f(s) = -9*s**2 - 2*s**2 - 27*s + 14*s**2 + 123 - s**2 - 3*s**2. What is the remainder when f(-29) is divided by 14?
9
Suppose -4*o = -2*y - 244, 3*y - 12 = -o + 35. Suppose -5*c + o = -2*h - 7, -90 = 2*h + c. Let b = h + 57. What is the remainder when 40 is divided by b?
12
Suppose -2*u + 7*u = 35. Suppose -3*r - 689 = 205. Let w = r - -360. Calculate the remainder when w is divided by u.
6
Let r be (-2)/(18/(-783)) - -3*1. Let k = r - -40. Suppose -2*p + k = 3*p. Calculate the remainder when 103 is divided by p.
25
Let q(r) = r**2 + 38*r - 66. Suppose 0 = 4*d + v + 162, -d + 5*v - 6*v - 42 = 0. What is the remainder when q(d) is divided by 3?
2
Let c(u) = u**2 + 4*u + 8. Suppose -21*n = -9*n + 72. Calculate the remainder when 297 is divided by c(n).
17
Let i(a) = -39*a + 647. What is the remainder when i(10) is divided by 79?
20
Let p = -21646 - -25915. What is the remainder when p is divided by 25?
19
Suppose -22692 = -202*i + 18314. Calculate the remainder when i is divided by 170.
33
Let a(g) = 14*g**2 - 50*g - 21. What is the remainder when a(-10) is divided by 94?
93
Suppose 0 = -8*q + 8. What is the remainder when 40 is divided by 5 + q + 0 - 3?
1
Suppose -11860 = -41*b + 9665. Calculate the remainder when b is divided by 3/((-12)/8)*-11.
19
What is the remainder when 272 is divided by (39 - (32 - -9))*(-3)/(12/10)?
2
Let v = -122 - -431. Let l(g) = 81*g**2 + 386*g + 8. Calculate the remainder when v is divided by l(-5).
0
Let j(c) = c**3 + 9*c**2 + 7*c - 5. Let l be j(-8). Let g be 57*(32/(-12) + l). Suppose -16 = -7*v + g. What is the remainder when 8 is divided by v?
3
Suppose -4*h - 43 = -2*j + h, 82 = 5*j - 4*h. Suppose 0 = 4*l - 3*n - 76, 3*l = 5*n + 43 + j. Calculate the remainder when l is divided by 12.
7
Let b(p) = 20*p**3 - 3*p + 2. Suppose -10*m = 21 - 31. Calculate the remainder when 68 is divided by b(m).
11
Let k(g) be the second derivative of -29*g**3/6 - 15*g**2/2 - 64*g. Calculate the remainder when k(-3) is divided by 15.
12
Suppose 38*g - 8*g = 13320. What is the remainder when 1693 is divided by g?
361
Let g(q) = -93*q - 548. Calculate the remainder when 2316 is divided by g(-6).
6
Let u be (10/(-3))/((-10)/15). Suppose 0 = 5*j + u*v - 1160, -2*j - 104 + 580 = -2*v. What is the remainder when j is divided by 80?
75
Let f = 3689 + -3668. Calculate the remainder when 1837 is divided by f.
10
Let q be 6/(-15) + 34/10. Let i(n) = n**3 + 9*n**2 - 32*n + 15. Calculate the remainder when i(4) is divided by (132/(-12))/((-1)/q).
29
Let p = -84 - -120. What is the remainder when (16330/1775)/((-4)/(-30)) is divided by p?
33
Let m = 17 - 10. Let k(g) = 3*g**2 + 210*g + 1971. What is the remainder when k(-59) is divided by m?
3
Let i = -341 + 349. What is the remainder when 396 - i/(16/(-6)) is divided by 10?
9
Suppose 0*k + 35 = 7*k. Suppose -5*z + 194 = -q, -37 = -5*z - k*q + 133. Calculate the remainder when z is divided by 14.
10
Calculate the remainder when ((-36)/15)/((-4)/(-10)) + 8913 is divided by 133.
129
Let t be -6*1/(-4)*2. Let m(b) = 3*b**3 - 5*b**2 + 3*b + 2. Let d(y) = 67*y - 1054. What is the remainder when m(t) is divided by d(16)?
11
Let t = -107 + 136. Suppose 3*w = -2*s + 501, s - 3*w = 6*s - 1275. What is the remainder when s is divided by t?
26
Let h(o) be the third derivative of -5/24*o**4 - 7*o**2 - 1/2*o**3 + 0*o + 0. What is the remainder when 81 is divided by h(-2)?
4
Let j(x) be the first derivative of -x**3/3 - 9*x**2/2 - 13*x - 5. Let y = -49 + 44. Calculate the remainder when 48 is divided by j(y).
6
Let h = -43 + 48. Let u be ((-7)/7)/((-1)/5). Suppose 0 = -2*p + u*z + 55, -h*p + 5*z = 2*z - 147. What is the remainder when 58 is divided by p?
28
Suppose 0 = -3*x + 4*d + 4, 6*x + 5*d = x - 5. Suppose x = 3*c - 19 - 62. Suppose -2*i - 2*i + 428 = 0. What is the remainder when i is divided by c?
26
Let h(r) = 22*r - 11. Let q be h(2). Suppose -q*x + 154 + 2288 = 0. Calculate the remainder when x is divided by 27.
20
Let p(g) = -48*g**3 - 4*g**2 - 11*g - 15. Let u(n) = 24*n**3 + 2*n**2 + 5*n + 7. Let w(l) = 6*p(l) + 13*u(l). What is the remainder when 153 is divided by w(1)?
23
Let o(d) = -9*d**3 + d. Let m be o(2). Let y = -95 - -270. Let k = y + m. Calculate the remainder when k is divided by 27.
24
Let z = 13723 + -13711. What is the remainder when 671 is divided by z?
11
Calculate the remainder when 2519 is divided by ((-3456)/(-1344))/(-2 - 45/(-21)).
17
Let k be (-3)/4 - 0 - 980/(-112). Suppose 0 = -3*b + k*b - 430. Calculate the remainder when b is divided by 3 + 0 - (-10 + 2).
9
What is the remainder when 234 is divided by 1590/150 + 11 - (-4)/10?
14
Let s(q) = -146*q - 14. Let l be s(-1). Let z = l + -123. What is the remainder when 28 is divided by z?
1
Let t(q) = q**3 - 5*q**2 - 8*q + 8. Let h be t(6). What is the remainder when 163 is divided by 1 + (11 + (h - -3))*4?
40
Calculate the remainder when 214 is divided by ((-1)/(-14)*-4)/(3/(-168)).
6
Let w(l) = l**3 + 10*l**2 + 12*l + 26. Let y be w(-9). What is the remainder when ((y - -26) + -7)/(6/33) is divided by 6?
3
Suppose 4*c = -404*k + 403*k + 48, -32*c + 5*k + 72 = 0. Suppose -2*n + 3 = 1. Calculate the remainder when (3 - n) + (-112)/(-2) is divided by c.
4
Suppose -3*g - 13 = -2*h, 0 = 5*g - 0 + 5. Suppose -3*n - 310 = -4*n + h*s, 3*n - 4*s = 985. What is the remainder when n is divided by 42?
41
Let b = 328 - 288. What is the remainder when b is divided by (-24)/13 + 2 + 1095/65?
6
Suppose -4 = 5*i - 0*f - 2*f, 0 = -i + 4*f - 8. Suppose 21*o - 154 - 455 = i. Calculate the remainder when 111 is divided by o.
24
Let p = -55 + 112. Suppose -2*j = 4*z - 62, -17*j + 14*j - 9 = 0. What is the remainder when p is divided by z?
6
Suppose -4*f + 671 + 133 = 0. Suppose 0 = 18*u - 31 - 59. Suppose -u*h + v = -168, -4*h + 0*h + 138 = v. Calculate the remainder when f is divided by h.
31
Let o = -8346 - -8396. Let z(q) = -8*q**3 - 3*q**2 - 3*q - 2. What is the remainder when z(-2) is divided by o?
6
Let r = -2424 - -2453. What is the remainder when 136 is divided by r?
20
Let g = 387 + -384. Calculate the remainder when 144 is divided by (1 - g) + (-253)/(-11).
18
What is the remainder when 839 is divided by (-5424)/(-339) + (-1)/((-1)/8)?
23
Let w = -5921 - -5928. Calculate the remainder when 802 is divided by w.
4
Let d = 93 - 91. Suppose 0 = s - d*s + 29. Suppose -v + z - 4*z + 1 = 0, -3*v = -3*z - 39. What is the remainder when s is divided by v?
9
Let y = 171 + -118. Suppose -32*g - y = -33*g. What is the remainder when g is divided by 7?
4
Suppose 0 = -4*r - 4*n + 9192, 4*n = 4*r - 6*r + 4588. What is the remainder when r is divided by 18?
16
Suppose -11*t + 2298 - 120 = 0. Suppose -5*i = 5*j - 253 - 57, i + t = 3*j. Let n = j + -61. Calculate the remainder when 10 is divided by n.
2
Let m(x) = -2*x + 7. Let n(b) = 41 - 11 - 4*b + 20. What is the remainder when m(-5) is divided by n(10)?
7
Suppose -128*r + 1944 = -20*r. What is the remainder when 1115 is divided by r?
17
Calculate the remainder when ((-730)/(-7) + 6)*(-8 - 92/(-8)) is divided by 205.
181
Let k = -6876 + 6953. What is the remainder when k is divided by 15?
2
Let t(p) = 20*p + 68*p**2 - 152*p**2 + 73*p**2 + p**3. Calculate the remainder when 213 is divided by t(9).
15
Suppose 8980*z + 640 = 9000*z. What is the remainder when 829 is divided by z?
29
Suppose -132 = -11*k - 88. Let v(l) = 3*l**3 + 5*l**2 - 16*l + 31. Calculate the remainder when v(k) is divided by 9.
5
Let t(b) = -b + 7. Let h be t(5). Suppose -h*k - 70 + 212 = 0. Let x = -47 + k. What is the remainder when 119 is divided by x?
23
Let l = -11 - -25. Let w(g) = -g**3 - 17*g**2 + 10*g + 22. What is the remainder when w(-18) is divided by l?
12
Let k(w) = 9*w**2 - 15*w + 73. Let a be k(4). Suppose -3*y + 138 = d - a, y = 3. What is the remainder when d is divided by 9?
7
Let x(l) = 372*l**3 + 3*l**2 - 6*l + 5. Suppose -47*y - 1 = -48*y. Calculate the remainder when x(y) is divided by 75.
74
Suppose -147 = -4*z + 529. Let g = -1900 - -1943. Calculate the remainder when z is divided by g.
40
Suppose 4*d + 13 - 12 = i, -2*i + 38 = d. Let q = i + 32. Calculate the remainder when 189 is divided by q.
42
Calculate the remainder when (2 - 1)/((-30)/(-20280)) is divided by 6.
4
Let j(k) = -32*k - 157. L