 k(y) = 93*y**3 - 2*y**2 + y + 1. Let v = 43 + -42. Calculate the remainder when k(v) is divided by x.
3
Suppose 279 - 76 = 4*d + q, 4*d - 5*q - 209 = 0. Suppose 3*v - 138 = d. What is the remainder when v is divided by 32?
31
Suppose 4*l = 2*m + 490, 11*m - 15*m = -5*l + 620. Calculate the remainder when l is divided by 11.
10
Let r = 280 + -187. Suppose -147 = -i + 7. Suppose 70 = -7*a + i. What is the remainder when r is divided by a?
9
Let f = 6812 - 6688. Calculate the remainder when f is divided by 37.
13
Calculate the remainder when 381 is divided by (26568/108)/(4/6).
12
Suppose -l - 3*l = -4*i - 184, 233 = 5*l - 2*i. Suppose -145*d - h = -142*d - 47, 5*d = -3*h + 93. What is the remainder when l is divided by d?
11
Let o = 79 - 33. Let z = o - 43. Calculate the remainder when 25 is divided by 1/(-2)*(-15 - z).
7
Let y(v) = v**3 + 25*v**2 - 65*v + 90. Let m(g) = 10*g + 40. Calculate the remainder when y(-27) is divided by m(-3).
7
Let w(c) = -3*c - 3*c - 2*c - 21 + 4. Let j be w(-7). Let t = -20 + j. What is the remainder when 54 is divided by t?
16
Suppose -2*s + 4*d = -6*s + 972, 0 = s + 3*d - 241. Let m = 303 - s. What is the remainder when m is divided by 7?
3
Let f(o) = 193 + 25*o + 357 - 3 - 113. Calculate the remainder when 405/2 + (-2)/4 is divided by f(-16).
32
Let w(s) = -23*s. Let l(a) be the second derivative of 2*a**3 - 96*a**2 + 3*a - 28. What is the remainder when l(23) is divided by w(-1)?
15
Suppose -1 = -2*t + 19. Suppose a + t = -2*p + 7*p, 0 = 2*p - 4*a - 4. Suppose -87 = -c - p*c. Calculate the remainder when c is divided by 8.
5
Suppose 7*d - 32 = -d. Suppose -d*s = 4*x - 32, -16 = -2*x - 0*s + 3*s. Suppose -x*f + 177 = -5*f. Calculate the remainder when f is divided by 12.
11
Let m(r) = -r**3 - 7*r**2 + 53*r + 20. What is the remainder when m(-13) is divided by 164?
17
Suppose -7*p - 20 = -3*p, -4*d + 875 = p. What is the remainder when d is divided by (-60)/(-48) - (47/(-4) + 0)?
12
Suppose 14*x - 18*x = -2*g + 4152, -3*g + 6278 = 4*x. What is the remainder when g is divided by 38?
34
Suppose 0*p = 6*p - 2*p. Suppose p = 2*g - 32 - 46. What is the remainder when 583 is divided by g?
37
Let j = -537 - -556. Calculate the remainder when 347 is divided by j.
5
Suppose 84 = w + 2*w. Suppose 54*l - 55*l + 4 = 0. Calculate the remainder when w is divided by 6/((-48)/(-20))*(0 + l).
8
Let b = -25755 + 25763. Suppose -f - 3*q = -5, 0 = -0*f - 3*f + 2*q + 70. Calculate the remainder when f is divided by b.
4
Suppose 6190 + 5574 = -34*p. Let j = p + 379. Calculate the remainder when 163 is divided by j.
31
Suppose 0*j = -5*j - 3*n + 213, -4*n + 164 = 4*j. What is the remainder when j is divided by (((-8)/(-3) - (-23 - -30)) + 2)*-3?
3
Let k(o) = -o**3 - 6*o**2 - 10*o - 14. Let r be k(-4). Calculate the remainder when ((-388)/r)/((-10)/(-15)) - 0 is divided by 9.
7
Let h(k) = -18*k + 2. Suppose 9*m + 75 = 3*u, 166*u - 5*m - 53 = 164*u. Calculate the remainder when h(-3) is divided by u.
22
Let f(a) = a - 12. Let o be f(6). Let y(g) = -g**3 - 5*g**2 + 4*g + 2. What is the remainder when (-2)/(-8) + 1292/16 + 2 is divided by y(o)?
13
Let j = 486 - 474. Let w(i) = 11*i**2 + 7 - 3 - 8*i - i**3 + 12*i + 13*i. Calculate the remainder when w(j) is divided by 13.
12
Suppose 0*t + 5*t = -m - 154, 3*m - 108 = 4*t. Let l = 23 + t. Let u(x) = x + 25. Calculate the remainder when 28 is divided by u(l).
10
Let f(x) = -x - 5. Let b(i) = 43*i**2 + 9*i + 19. What is the remainder when b(-4) is divided by f(-30)?
21
Let b(g) = 21*g - 229. Let z be b(-15). Let o(d) = 5*d**2 + 4*d + 2. What is the remainder when (1/1 - -7)/((-64)/z) is divided by o(-2)?
12
Suppose 0 = 3*r - 0*r - 69. Suppose -2939 = -90*d + 2551. Calculate the remainder when d is divided by r.
15
Let o(c) be the first derivative of 9*c**2/2 - 40*c + 58. Calculate the remainder when o(7) is divided by 8.
7
Suppose -3*s - w + 83 = -120, 0 = 4*s + 3*w - 269. Calculate the remainder when (-18)/27*(2438/(-4) - -5) is divided by s.
63
Let o = 2596 - 2113. What is the remainder when o is divided by 177?
129
Let j(u) = -u**3 - 47*u**2 - 92*u - 65. Calculate the remainder when 121 is divided by j(-45).
21
Let j(t) = t**3 - 19*t**2 + 15*t + 120. Calculate the remainder when 261 is divided by j(18).
63
Let l be (-1)/1*(-5 + 10 - 1170). Let v = -807 + l. What is the remainder when v is divided by 24?
22
Let u(c) = -10*c**3 + 86*c**2 + 388*c - 5. What is the remainder when u(-5) is divided by 58?
5
Let k(c) = 10 + 6 + 8*c - 26 - 44. Let v be k(14). Suppose -34 = -4*a + v. Calculate the remainder when 136 is divided by a.
21
Calculate the remainder when 53331/24 - (221/104)/17 is divided by 53.
49
Let m(l) = l**3 - 13*l**2 - 4*l + 70. Let f be m(13). Let u(t) = 13*t**2 + t + 4. Calculate the remainder when u(3) is divided by -2*(-2)/8*0 + f.
16
Let c(d) = 8*d**2 + 9*d - 20. Suppose -10*y - 19 - 21 = 0. Calculate the remainder when c(y) is divided by 15.
12
Let p = 2325 - 2289. What is the remainder when 503 is divided by p?
35
Suppose 504 + 120 = 78*m. Calculate the remainder when 662 is divided by m.
6
Let u = -434 - -443. What is the remainder when 186 is divided by u?
6
Let v be 1*(9/12 + 1653/(-12)). Let q = v - -143. Suppose -12 + 40 = i. Calculate the remainder when i is divided by q.
4
Suppose -5*c + 2*c + 4*b = -153, -2*b - 102 = -2*c. Suppose 4*l + 3 = 187. Calculate the remainder when l is divided by 20*1 - 17/c*-6.
2
Let k(i) = 4*i**3 + 19*i**2 - 35*i - 3. Let b be ((-78)/(-9))/((-6)/(-9)). Calculate the remainder when 4*(-1)/((-1)/b) is divided by k(-6).
25
Let o(v) = -9*v - 14. Let x be o(15). Let i = -106 - x. What is the remainder when i is divided by 11?
10
Let d = 14 + -11. Suppose -5*z + 3*u = -2*u - 35, d*z - 2*u - 26 = 0. What is the remainder when 105 is divided by z?
9
Suppose -807*p - 2261 = -826*p. Calculate the remainder when 7493 is divided by p.
115
Let o = 7186 - 7137. What is the remainder when 545 is divided by o?
6
Let d(c) = 4*c - 136. Calculate the remainder when 82 is divided by d(44).
2
Suppose 684*u - 55047 - 37540 = 75677. Let q = -48 + 79. Calculate the remainder when u is divided by q.
29
Suppose -3*b - 2*b = y + 1556, 5*y - 617 = 2*b. Let z = b - -430. Calculate the remainder when z is divided by -3 - (1 + -32 - 2).
29
Let w(n) = 134*n + 490. What is the remainder when 152 is divided by w(-3)?
64
Let m be 0 + -25 + -1 - -2. What is the remainder when (-1659)/m + -3 + 69/24 is divided by 12?
9
Let n = -5190 + 5239. What is the remainder when 665 is divided by n?
28
Suppose -22*o - 5158 = -5*l - 21*o, -2020 = -2*l - 5*o. What is the remainder when 1047 is divided by l?
17
Suppose 3*j - 44 = j - 4*t, -75 = -4*j + 5*t. Suppose 23*p = j*p + 117. What is the remainder when p is divided by 21?
18
Calculate the remainder when 2551 is divided by 15105/171 - (12/9 + -1).
87
Suppose 7411 = 45*i - 693 - 941. Calculate the remainder when 439 is divided by i.
37
Let r = -3668 - -3791. What is the remainder when r is divided by 122?
1
Let y = -12 + 39. Let k(w) = w**2 - 28*w - 3351. What is the remainder when k(-46) is divided by y?
26
Suppose 18*d + 424 = 4*u + 26*d, 5*d = -5*u + 525. Calculate the remainder when 1245 is divided by u.
101
Suppose 2*g = -5*g + 14. Suppose 5*o = 5*r + 50, 1 - 3 = -g*r. Suppose 17*h = o*h + 408. Calculate the remainder when h is divided by 36.
32
Let f(x) be the second derivative of -x**5/20 - x**4/12 + 4*x**3/3 + 6*x**2 + 13*x. Calculate the remainder when f(-3) is divided by 3.
0
Suppose y = -44*x + 3*y - 170 + 2052, -5 = -y. Suppose -f + 3*f = 858. Calculate the remainder when f is divided by x.
42
Let g(h) = h**2 - 96*h + 1410. Calculate the remainder when 7965 is divided by g(18).
3
Let w(k) = -10*k**3 + 1. Let r(a) = -17*a**2 - 123*a + 25. What is the remainder when r(-7) is divided by w(-1)?
9
Suppose 7*n + 2 = 16. Suppose a - n*a = -18. What is the remainder when 159 is divided by a?
15
Let m = 12225 + -8261. What is the remainder when m is divided by 128?
124
What is the remainder when 725 is divided by (-2 - (18/(-4) + 3)) + (-672)/(-192)?
2
Suppose z - 335 + 279 = k, k = -1. Calculate the remainder when 878 is divided by z.
53
Suppose 2*b - 6*b - 6*b = 0. Suppose b = -5*h - 15, h - 3*h + 57 = i. What is the remainder 