
Suppose -f + 0*f + 2*m + 7 = 0, -2*m - 2 = 0. Let w = f + 31. Let i = 49 - w. Calculate the remainder when 75 is divided by i.
10
Let t(x) = 162*x - 42. What is the remainder when t(5) is divided by 53?
26
Suppose 4*w + 3*a - 1579 = 0, 318 + 64 = w + 5*a. Calculate the remainder when w is divided by 82.
69
Suppose -5*p = y - 19494, -5*p + 5*y = 7*y - 19498. What is the remainder when p is divided by 15?
13
Let p be (-273 - -3) + (-1 - -3). Let s = -191 - p. What is the remainder when s is divided by 20?
17
Let i = 566 + -14. Calculate the remainder when i is divided by 69.
0
Let h(b) be the first derivative of -3*b**2/2 + 17*b + 19. Let w be h(4). Suppose w*q + 15 = 5*i, i - q + 5 = 4*q. What is the remainder when i is divided by 5?
0
Suppose 3661 + 5299 = 49*n + 231*n. Let l(w) = -w**3 + 6*w**2 + 2*w + 2. Let q be l(6). Let v = 26 - q. What is the remainder when n is divided by v?
8
Suppose -58*g = -55*g - 529 - 923. What is the remainder when 534 is divided by g?
50
Let b(y) = 6*y**3 - 6*y**2 + 30*y - 120. Let t(m) = 2*m**3 - 2*m**2 + 10*m - 40. Let a(u) = 4*b(u) - 11*t(u). What is the remainder when 60 is divided by a(3)?
8
Let l(y) = -30*y - 27*y + 40 + 89*y - 30*y. Calculate the remainder when l(-12) is divided by 10.
6
Let w(y) = y**3 - 5*y**2 + 3*y - 6. Suppose 63 = 13*r - 119. Let b(h) = -8*h + 156. What is the remainder when b(r) is divided by w(5)?
8
Let r(g) = 2*g**2 + 481*g + 3832. Calculate the remainder when r(-8) is divided by (261/(-6))/((-9)/12).
54
Let p(g) = -8*g**2 - 6*g. Let f be (-4)/(-2) - 4 - (-56)/7. Let r be p(f). Let o = r - -642. What is the remainder when o is divided by 40?
38
Let i(v) = -60*v - 4013. What is the remainder when 339 is divided by i(-67)?
3
Suppose 0 = -4*i + 2*j - 115 + 379, -195 = -3*i + 2*j. Calculate the remainder when i is divided by 41.
28
Let b be (-2 + (-10)/(-4))/(2/(-356)). Let v = 36 - b. Suppose 29 - v = -2*s. Calculate the remainder when s is divided by 26.
22
Calculate the remainder when 2022 is divided by 444/333 + (-292)/(-6).
22
Let r(k) = 4*k**2 + 23*k - 29. Let o be r(-8). Suppose 1392 = 5*z + o*z. Suppose 3*n = n - 2, -2*n = 3*b - 517. Calculate the remainder when b is divided by z.
28
Let p = 167 - 73. Suppose -5*z - p = -3*k, k + 3*z - 48 = 8*z. What is the remainder when 38 is divided by k?
15
Let q(v) = 2*v**2 + 27*v + 17. Let o be q(-13). Suppose -5*p - 11 = -o*l + 25, 0 = 5*l - 4*p - 45. What is the remainder when 29 is divided by l?
2
Let i = -704 - -726. Let c = 40 + 90. What is the remainder when c is divided by i?
20
Suppose 4*w - 429 = -r, -53 - 53 = -w + r. Suppose 35*z = w + 33. Calculate the remainder when 23 is divided by z.
3
Let x(s) = -16*s + 277. Let b be x(17). Suppose 326 = -b*m + 501. What is the remainder when 164 is divided by m?
24
Suppose -102*l = -86*l + 64. What is the remainder when 1978/129*((-10)/l + 2) is divided by (-182)/(-5) - (-2)/(-5)?
33
Suppose 432 = 53*b + 64 - 1964. Calculate the remainder when b is divided by (-104)/(-6) + (-1)/3.
10
Let z(r) = 3*r**2 + 45*r + 903. Calculate the remainder when 3112 is divided by z(-24).
10
Suppose -4*u + 7*u + 5*p = 22, -u + 10 = 3*p. Suppose 0 = -4*l - u*y + 72, -y + 15 = 4*y. Calculate the remainder when 53 is divided by l.
8
Let r(c) = -c + 4. Let s = 14639 + -14626. Calculate the remainder when s is divided by r(0).
1
Suppose 3*u = 14 - 5. Suppose -12*q = u*q - 975. Let p = q + -32. Calculate the remainder when 94 is divided by p.
28
Suppose 3*f + 2*v = 58, 5*f - 3 - 52 = 5*v. What is the remainder when 315 is divided by f?
11
Suppose -25*v + 610 = -2540. Let n(a) = 13*a**2 + 8*a - 19. Calculate the remainder when v is divided by n(3).
4
Let q = 2449 - 2270. Let a = 38 + -25. What is the remainder when q is divided by a?
10
Suppose 4*z = -3*m + 63, -4*z + 84 = m - 5*m. Let l(w) = 24 - w - z + 19. What is the remainder when 29 is divided by l(17)?
5
Suppose 3*a = 838 - 253. Suppose -3*s - 5*y + 22 = 0, 0 = -4*s + 12*y - 11*y + 37. What is the remainder when a is divided by s?
6
Suppose 2*b = 5*a + 132, 0 = 3*b + 3*a - 153 - 87. Calculate the remainder when b is divided by -10*(-6 - (3 + (4 + -4 - 7))).
16
What is the remainder when 88 is divided by 403/93*36/6?
10
Suppose 72*u = 68*u + 16. Suppose -3*j = -4*t - 24, 2*j - 44 = u*t + 4*j. Let l(y) = 3*y**2 + 22*y + 17. Calculate the remainder when l(t) is divided by 21.
20
Let x(d) = 28*d**2 - 19*d + 56. What is the remainder when x(4) is divided by 5?
3
Suppose -3*n + 7*n - 16 = 0. Suppose -n*j + 100 = -m, j - 10 = -2*m + 6. Calculate the remainder when j is divided by 12/(-6)*-1 - -8.
4
Suppose -13*m = 2790 - 255. Let k = 230 + m. Calculate the remainder when 98 is divided by k.
28
Suppose -28*a = -27*a + 3, -2*a = -3*g + 1500. Calculate the remainder when g is divided by 10.
8
Let o be 230/(-70) + (-4)/(-14). Let c be -6*3/12*(o - 7). Suppose -r + c = -127. What is the remainder when r is divided by 29?
26
Suppose -66609 = -69*o - 62745. Let i(g) = 12*g**2 - g + 1. Calculate the remainder when i(3) is divided by o.
50
Let m = 57 + -34. Suppose 2*s - 62 = -3*p, -5*s + 16*p - 14*p + 212 = 0. Calculate the remainder when s is divided by m.
17
What is the remainder when (-103345)/(-99) + 13 - 3/(-27) is divided by 53?
50
Suppose -9*s - 2*q + 3*q = -950, q = -5. Calculate the remainder when 306 is divided by s.
96
Suppose p = 3*l + 17, -p + 3*l + 32 = 3*p. What is the remainder when 88/p - (-2 + (-24)/(-15)) is divided by 5?
3
Let b be (-50)/325 - 54/(-13). Suppose b*u - 2*u = 36. Calculate the remainder when (-14)/6*(23 - 38) is divided by u.
17
What is the remainder when 130 is divided by 6 - -2 - (-26 + -18)?
26
Let u(j) = 3*j + 2. Let o = -253 + 177. Let y = o - -81. What is the remainder when u(3) is divided by y?
1
Calculate the remainder when 5935 is divided by (32/(-112))/(((-9)/3)/147).
13
Suppose 2*s + 42 = 70. What is the remainder when 326 is divided by s?
4
Let l be ((-4)/(-10))/(-1) + (-1674)/(-135). Suppose -h + l = -11. Let i = -428 - -495. Calculate the remainder when i is divided by h.
21
Suppose -318*j = -319*j + 4. Suppose 0 = -c - 2*t + 41, 2*t + 3*t = -j*c + 167. What is the remainder when c is divided by 24?
19
Suppose 3*q - 5*q - 4*c - 4 = 0, 3*q = c + 15. Suppose -14 = -6*z + q*z. What is the remainder when 22/99 - 111/(-108) - (-75)/4 is divided by z?
6
Let q = 5138 + -5017. What is the remainder when 207 is divided by q?
86
Let b(v) = -106*v**3 - 2*v**2 + 28*v + 30. Calculate the remainder when b(-1) is divided by 32.
10
Suppose 26*f - 162*f + 351693 - 27877 = 0. What is the remainder when f is divided by 18?
5
Let i(r) = -82*r - 1870. Let n = -283 - -460. Suppose g + 2*g + 3*o = n, 0 = 2*o + 4. Calculate the remainder when g is divided by i(-23).
13
Let m(g) = -g**3 - 7*g**2 - 6*g - 2. Suppose -2*h - 12 = -0. Let x be m(h). What is the remainder when 94 is divided by 16/32 + (117/x)/(-3)?
14
Let c = -454 + 475. Let q(x) = 9*x**2 - 3*x + 5. What is the remainder when q(2) is divided by c?
14
Let j(v) = -v**3 + 10*v**2 + 7*v + 8. Let b be j(11). Let t be 9/(63/(-14))*(-1 + 26). Let g = b - t. Calculate the remainder when 54 is divided by g.
12
Let h = 467 + -465. Suppose 5*q + 5*r - 64 = 2*q, -4*q + h*r = -42. Calculate the remainder when 206 is divided by q.
11
Suppose -v = -4*h + 8 - 33, 2*h - 172 = -4*v. Suppose v*o = 34*o + 420. Calculate the remainder when 119 is divided by o.
59
Suppose -6*h + 4*o - 476 = -3*h, 4*h - o = -613. Let y = -110 - h. What is the remainder when 54 is divided by y?
12
Let y(r) = r**3 - 20*r**2 + 3*r + 771. Calculate the remainder when y(21) is divided by 29.
28
Let d(t) = -64*t + 628. What is the remainder when 4/6 + 1756/12 is divided by d(9)?
43
Let o(x) = -x**3 + 77*x**2 - 49*x - 772. Calculate the remainder when o(75) is divided by 6.
5
Let u(r) = 23*r**2 - 104*r + 1531. Calculate the remainder when u(15) is divided by 11.
9
Let a = 1894 - 1690. Calculate the remainder when 715 is divided by a.
103
Let j(c) = 37*c - 17. Let v be j(2). Suppose -3*l - v = -2*g, 5*l = -3*g + 26 + 12. What is the remainder when 51 is divided by g?
9
Let i(g) = 1408*g - 5897. What is the remainder when i(8) is divided by 88?
87
Suppose -528 = -8*b - 0*b. Let q(v) = -2*v**3 - b + v**3 - 11*v**2 + 89. Calculate t