by z?
26
Let u(x) = -x**3 + 15*x**2 + 11. What is the remainder when u(15) is divided by (-140)/20*8/(-28)?
1
Suppose -4*b + 11 = 3*v - 30, -b = v - 13. Calculate the remainder when -51*(132/(-12) - -10) is divided by v.
7
Let u = -1155 + 621. What is the remainder when u/(-18) - (-2)/(-3) is divided by 6?
5
Let s be (2 - 3) + 4/2. Let h = -3012 - -3018. What is the remainder when -2 + 1 - (-23)/s is divided by h?
4
What is the remainder when 86/(21/(-14) + 2) is divided by 54?
10
Let o = 10 + -4. What is the remainder when (-13 - -12) + (2 - -8) is divided by o?
3
Suppose -5*o = -2*w, 2*w - 2*o + 6*o + 36 = 0. Let z = -5 - w. Suppose -c + 1 = -5*m, 2*c - c - 3*m = z. What is the remainder when 43 is divided by c?
10
Let x(m) = m**2 + m. Let k be x(1). Suppose -2*t - 2*t = -l - 152, 76 = 2*t - k*l. What is the remainder when t is divided by 20?
18
Let j = -12 + 22. Let q be 4/18 + 1666/(-126). Let s = j - q. What is the remainder when s is divided by 8?
7
Calculate the remainder when 482 is divided by (145 + 9)*(96/42 - 2).
42
Let l(y) = y**3 - 3*y**2 + y + 4. Let h be l(3). Suppose -4*v + h*v = 0. Suppose -x + 24 = -v*x. Calculate the remainder when 44 is divided by x.
20
Let p = 4 + -6. Let s be p/5 + 156/65. Suppose s*b + 5*j - 28 = 104, -b - 2*j = -66. Calculate the remainder when b is divided by 17.
15
Suppose 3*q = 5*z + 10, -5*q - 15 + 5 = 5*z. Suppose q*u = 9*u - 495. What is the remainder when u is divided by 15?
10
Let k(l) = -3*l**3 - 8*l**2 + 6*l + 3. Suppose 5*u - 2*q - 51 = -0*u, 15 = 2*u + q. What is the remainder when k(-4) is divided by u?
7
Let k = 629 - 590. What is the remainder when 133 is divided by k?
16
Let n = 581 - 572. What is the remainder when 60 is divided by n?
6
Suppose -2*o = 3*q + 3 + 4, 0 = -5*q + 5*o + 30. Let m(x) = 7*x - 2. What is the remainder when 58 is divided by m(q)?
3
Suppose 10*p + 18 = 12*p. Suppose -r + p*r - 200 = 0. What is the remainder when 68 is divided by r?
18
Let j = 19 + -16. Let x(m) = -2*m**2 - 5. Let h(d) = d**2 + 3. Let q(f) = 5*h(f) + 2*x(f). What is the remainder when q(0) is divided by j?
2
Suppose -27*h = 37*h - 2496. Calculate the remainder when 582 is divided by h.
36
Let l = 314 + -43. Calculate the remainder when l is divided by 55.
51
Let v(j) = -j**3 - 3*j**2 - 4*j. Let q be v(-2). Suppose -q*a - 2 = -26. What is the remainder when a is divided by 4?
2
Let p = -31 + 51. Let s = 43 - p. Let f = -17 - -25. What is the remainder when s is divided by f?
7
Suppose -2214*d - 510 = -2244*d. Let x(v) = -v. Let q be x(1). What is the remainder when (-65)/q - (2 - 3) is divided by d?
15
Suppose 108 = d + 3*d. Let p(s) = s**3 - 6*s**2 + 4*s - 9. What is the remainder when d is divided by p(6)?
12
Let g be 2*((-12)/(-4) - 2). Let p be g/((-8)/(-708)) - -3. Let b = -90 + p. What is the remainder when b is divided by 23?
21
Suppose -32 = 3*c - 242. Calculate the remainder when 279 is divided by c.
69
Let q(b) = -b**3 + 5*b**2 - 8*b + 12. Suppose 4*j - 8 = 0, -2*m - 2*j + 132 = 3*j. What is the remainder when (m - -2)*4/12 is divided by q(3)?
3
Suppose 0 = 5*u + 3*a - 48, -u - 4*a - 7 = -3. Let v be 0/(-2 - -4) + 2. Calculate the remainder when (-4)/(-6)*(53 - v) is divided by u.
10
Let c = 79 - 62. Calculate the remainder when 30 is divided by c.
13
Suppose 68 = 2*r - 732. Suppose 7*h + r = 2*h. Let c = h + 119. What is the remainder when c is divided by 14?
11
Let k = 71 - 42. Suppose -32*f = -k*f - 108. What is the remainder when f is divided by 14?
8
Let z = -105 - -201. Suppose 0 = -2*k - 4*i + z, 3*k + 6*i - 129 = 3*i. Let g = 10 + 10. Calculate the remainder when k is divided by g.
18
Let x(m) = m**2 - 10*m - 13. Calculate the remainder when x(-8) is divided by 19.
17
Suppose -5*t - 15 + 5 = 0, -3*t = 4*p + 30. Let g(b) = b**3 - b**2 - 2*b - 2. Calculate the remainder when g(3) is divided by (p/(-24))/(2/24).
1
Suppose -38*p + p + 8732 = 0. What is the remainder when p is divided by 7?
5
Suppose -1572 = 59*a - 71*a. What is the remainder when a is divided by 34?
29
Let j(p) = -1 - 3 - 10 + 16*p - 2*p. What is the remainder when j(5) is divided by 15?
11
Let s = 11 - 7. Suppose -s*g + 282 = 114. Calculate the remainder when g is divided by 12.
6
Let i = -10 + 118. What is the remainder when 13 is divided by -1 - (i/(-26) - 4/(-26))?
1
Suppose -t + 55 + 22 = 0. Calculate the remainder when t is divided by 14.
7
Suppose 0*u = 2*u - 2*p + 36, 0 = p + 2. Let z = 33 + u. What is the remainder when z is divided by 5?
3
What is the remainder when 479 is divided by 0 + 5/(-5) + 70/10?
5
Suppose -s - 3 = -v - 1, -6 = -2*v. Calculate the remainder when 15/(-9) + s - 116/(-3) is divided by 5.
3
Let b = -839 - -870. What is the remainder when b is divided by 4?
3
Let d be (-22)/(-18) - 6/27. Suppose -3 = -u - d. Suppose -3*f - 5*w + 109 = f, -u*f + 62 = 4*w. Calculate the remainder when 40 is divided by f.
19
Let u(c) = 38029 - c - 38029 + c**3 + 11*c**2. Suppose 0 = 2*w + 2*h - 5*h + 28, 3*w = -3*h - 27. Calculate the remainder when 19 is divided by u(w).
8
Suppose -709*d + 380 = -705*d. What is the remainder when d is divided by 7?
4
Suppose -62*o + 70*o - 1224 = 0. What is the remainder when o is divided by 79?
74
Suppose j - 98 = -5*k, 2*k + 0*j = -2*j + 36. What is the remainder when 176 is divided by k?
16
Let x(y) = 299*y**3 - 3*y**2 - 11*y + 13. Calculate the remainder when x(1) is divided by 13.
12
Suppose -3*d + 14 = 4*p - 16, -4*d + 71 = -5*p. Calculate the remainder when 1383 is divided by d.
11
Let u(z) = z**2 - 3*z + 8. Let w be u(4). Suppose 9*m = 5*m + w. Calculate the remainder when 6 is divided by m.
0
Suppose 84 = 2*d + 38. Calculate the remainder when 205 is divided by d.
21
Suppose 5*v - 98 = -9*v. Calculate the remainder when 23 is divided by v.
2
Let f be -72*((-305)/(-3))/5. Calculate the remainder when (44/14)/(3/21) is divided by (-4)/30 + f/(-180).
6
Let h(m) = m**2 - m + 7. Let k = 60 + -83. Let s = k + 36. Calculate the remainder when h(-6) is divided by s.
10
Let s(a) be the first derivative of 5*a**3/3 + a**2/2 - 4*a - 62. Let w = -8 - -5. Calculate the remainder when s(w) is divided by 10.
8
Let j be (-14)/(-21) - 30/(-9). Suppose 7*f + 20 = 2*o + j*f, 5*f = 0. Calculate the remainder when 49 is divided by o.
9
Suppose -3*z - 6 = 0, z + 41 = n + 2*z. Let q = -16 + n. Calculate the remainder when q is divided by 7.
6
Suppose 7 = 9*k - 20. Suppose -v = 2*b + 3*b + 3, -12 = k*b. What is the remainder when 133 is divided by v?
14
Let a(z) = z + 12. Let w be a(-5). Suppose 2*g = 4*y - 34, -4*y - 3*g = -w*g - 32. Calculate the remainder when (y/(-15))/((-4)/100) is divided by 6.
3
Suppose -j - 3 = 0, 2*t - 7*t = 4*j - 43. Suppose -2*f - 5*d - 198 + 39 = 0, 5*f - 3*d + 413 = 0. Let z = -40 - f. What is the remainder when z is divided by t?
9
Let b(p) = -26*p**2 - 176*p - 81. Let z(c) = -5*c**2 - 35*c - 16. Let j(u) = -2*b(u) + 11*z(u). Calculate the remainder when 143 is divided by j(-10).
15
Let m(d) = -d**2 + 8*d + 2. Suppose -4*b - 4 = -3*r, 4*b + 4 - 12 = 0. Calculate the remainder when m(6) is divided by r.
2
Let f = 55 + -42. Suppose 7*a + f = 384. What is the remainder when a is divided by 29?
24
Let q(x) = -x**2 + 7*x + 79. Suppose -2*d + 2*f + 25 = 7*f, -94 = -5*d - 2*f. What is the remainder when q(0) is divided by d?
19
Suppose 2*b - 5*l = 7 + 61, -5*b - 5*l = -240. Let m = b + -24. Calculate the remainder when m is divided by 7.
6
Let z(x) = x**2 + 7*x + 10. Let p be z(-6). Suppose 6*l - 2*l - 92 = p*s, 0 = -5*l - 2*s + 136. What is the remainder when 46 is divided by l?
20
Suppose 4*p - 3*k - 101 = 0, -4*p = -6*p - 2*k + 54. Calculate the remainder when 96 is divided by p.
18
What is the remainder when -2 + (-6)/(-12)*178 is divided by 3/((1 - 0)/10)?
27
Let w = 173 + -154. Calculate the remainder when w is divided by 15.
4
Let l(s) be the first derivative of s**3/3 + s**2 + s - 14. What is the remainder when l(-4) is divided by 2?
1
Calculate the remainder when (-20 - 3)/(32/(-128)) is divided by 24.
20
Suppose -2*q + 4*s + 21 = 3, 0 = -5*q - 3*s + 19. Suppose -q*x = -223 - 27. Let g(j) = -j**2 - 21*j - 95. What is the remainder when x is divided by g(-12)?
11
Let g be 10/2*(-88)/(-55). Let h be (-52)/(-10) + g/(-40). Suppose h*a = -4*b + 44, 3*a = -0