?
31
Let v(j) = j**3 + 4*j**2 - 3*j - 7. Let x be v(-5). Let z = 29 + x. Calculate the remainder when 107 is divided by z.
11
What is the remainder when 101 is divided by ((-5)/(-15))/((-3976)/(-567) - 7)?
20
Let h(x) = x**3 - 7*x**2 + 6*x + 11. What is the remainder when 21 is divided by h(6)?
10
Let s(z) = 2*z**2 - 5*z + 36. What is the remainder when 71 is divided by s(0)?
35
Let o = -143 + 287. Let c = 3450 - 3401. Calculate the remainder when o is divided by c.
46
Let n be (2 + -1)*(-1 - 0). Let v(t) = -30*t + 3. What is the remainder when v(n) is divided by 9?
6
Suppose 0*c = 9*c - 45. Suppose -c*q = -72 + 22. What is the remainder when 68 is divided by q?
8
Suppose 3*t - 2*t - 28 = -5*f, 4*t - f = 28. Suppose q - 49 = -19. What is the remainder when q is divided by t?
6
Let f(u) = -u**2 + 13*u + 9. Let r = 0 + 9. Suppose -65 = -r*x + 4*x. Calculate the remainder when 52 is divided by f(x).
7
Suppose 200 = 3*v - 7. Calculate the remainder when v is divided by 10.
9
Let c = 16 - 23. Let m be (-119)/(-49) - (-3)/c. Suppose -4*p - 4*x + 36 = 0, -m*p - 5*x + 10*x + 46 = 0. What is the remainder when p is divided by 7?
6
Suppose -2*x - 7 = -5*d + 169, -3*d - 2*x + 96 = 0. What is the remainder when d is divided by 21?
13
Suppose 2*u + 61*b - 10 = 65*b, u - 8 = 5*b. What is the remainder when (-57)/(-6) + (-1)/2 is divided by u?
0
Suppose 1192 = 10*v + 292. Suppose -9 + 0 = 3*i. Let f = i + 26. What is the remainder when v is divided by f?
21
Suppose 2*w = 4*w + 12. Suppose -5*q + 151 = 81. What is the remainder when q is divided by (2 + -14)/(w/4)?
6
Suppose k = -4*f + 113, 29*f = -k + 33*f + 73. What is the remainder when k is divided by 64?
29
What is the remainder when 89 is divided by (-46)/(-3)*((-40)/4 - -13)?
43
Let y(v) = 2*v**3 + 6*v**2 + 20*v - 29. Let j(m) = m**3 + 2*m**2 + 7*m - 10. Let s(p) = -17*j(p) + 6*y(p). What is the remainder when s(-2) is divided by 23?
19
Let o(t) be the second derivative of -t**5/20 + 7*t**4/6 - 5*t**3/3 - 11*t**2/2 - 5*t. Calculate the remainder when o(13) is divided by 5.
3
Suppose 2*g = -5*n + 131, 2*g = 3*n - 0*n - 69. Let d = -21 + n. What is the remainder when 12 is divided by d?
0
Let t(r) = r**3 + 3*r**2 + 2*r + 6. Let n be t(-3). Suppose n = 2*u - 3*u + 2. Suppose 5*a - 30 = 15. Calculate the remainder when a is divided by u.
1
Let y(a) = -a**2 - 9*a + 9. Let c(u) = -u**3 - 8*u**2 - 3*u - 7. Let v be c(-6). Let o = 109 + v. Calculate the remainder when o is divided by y(-8).
14
Let y(r) = r**3 - 4. Let x be y(2). Suppose 0 = x*i - q - 270 + 71, 0 = i + 4*q - 71. Calculate the remainder when i is divided by 18.
15
Suppose 2*o + 3 = o. Calculate the remainder when (-3)/(7/(-2) - o) is divided by 4.
2
Suppose 5*z + 25 = 0, 3*l = -z + 619 + 45. What is the remainder when l is divided by 15?
13
Calculate the remainder when (13/(-3) - -1)*1332/(-20) is divided by 56.
54
Let m = 23 + -10. Let h(l) be the first derivative of 35*l**4/4 + l**2 - l - 16. Calculate the remainder when h(1) is divided by m.
10
Let l(c) = 2*c**2 - 22*c - 11. Let k be l(12). Suppose -o + 5*q = -0*o, 2*q + k = 3*o. Calculate the remainder when 17 is divided by o.
2
Suppose 5*c + 17*a - 18*a = 165, 4*c - 151 = -3*a. What is the remainder when 95 is divided by c?
27
Let t(g) = -4 + 3*g**2 + 3*g - 3*g**3 + 2*g**3 + g. What is the remainder when 1915/55 - -4 - 4/(-22) is divided by t(3)?
7
Let p be (-14 - 1)*(-36)/90. Suppose 4*u - 4*d - 124 = 0, -3*u - 2*d + 97 = -p*d. Calculate the remainder when u is divided by 7.
6
Let x = 96 + -51. Suppose 0 = 4*j - 0*j - 20. Suppose 80 = j*v - 5*l, 3*l - 48 = -3*v - l. Calculate the remainder when x is divided by v.
13
Let x be (6 - (-56)/(-9)) + (-76)/(-18). Suppose -179 - 21 = -x*i. Calculate the remainder when i is divided by 26.
24
Suppose 0*m + 2*m - 2*c = 72, 0 = -3*c + 3. Let j = m - 2. What is the remainder when 66 is divided by j?
31
Suppose u = 5*b + 1, -4*b - 5*u + 1 = -4. Suppose b = 9*r - 139 + 4. What is the remainder when 73 is divided by r?
13
Let b = -111 - -48. Let r(s) = s - 3. Let t be r(5). Calculate the remainder when (-2 - 0)*b/t is divided by 16.
15
Let d(n) = 3*n**2 + 5*n + 6. Let o be d(-3). Suppose 5 + o = h. Suppose 3*t - 32 = -0*t - 5*v, 2*t = -5*v + h. Calculate the remainder when 26 is divided by t.
8
Let k(i) be the third derivative of -i**6/120 - i**5/12 + i**4/12 - 2*i**3/3 - 8*i**2. Calculate the remainder when 56 is divided by k(-6).
16
Let d(x) = 783*x + 1582. Let c(b) = -2*b - 5. Suppose 0 = -3*o - 0*o - 12, -17 = n + 3*o. Calculate the remainder when d(-2) is divided by c(n).
1
Let r = 37 + -30. Suppose 6*x - r*x = -62. Calculate the remainder when x is divided by 8.
6
Suppose h + 5*h = 138. Calculate the remainder when 1115/10 - (-1)/2 is divided by h.
20
Let z be (4/(-3))/(10/(-15)). Calculate the remainder when 50*-1*(-6)/15 is divided by 1*((-110)/(-5))/z.
9
Let c = 43 + -27. Let y(p) = -12*p - 2 - 3*p - p + 1. Calculate the remainder when y(-4) is divided by c.
15
Suppose 3*w - 2*u = 42, 3*w - 5*w - 3*u + 28 = 0. Suppose -8*a = -w*a + 660. Calculate the remainder when a is divided by 29.
23
Let p(n) = 4*n + 4. Let m be p(-4). What is the remainder when 99 is divided by (-3)/18 - 82/m*5?
31
Let x(h) = 4*h**2 + 3*h + 8. Let y be x(-7). Let q be y/4*(-24)/(-9). Suppose -u - 48 = -2*z + u, 4*u + q = 5*z. Calculate the remainder when z is divided by 9.
8
Calculate the remainder when 150*((-2)/14 + (-266)/(-490)) is divided by 9.
6
Suppose 0 = 5*a + 2*l - 194, 0 = 5*a - 4*l + l - 209. Calculate the remainder when 2856/(216/9)*(1 + 0) is divided by a.
39
Let j be -2 - (4 + -51 - -3). Let v = -48 - -20. Let k = j + v. What is the remainder when 53 is divided by k?
11
Let y(q) = 4*q - 6. Suppose -22*p = -19*p - 12. Let j be y(p). Suppose j = -4*u + 26. What is the remainder when 17 is divided by u?
1
Let d be ((-24)/16*1816/(-6))/2. Let g = -121 + d. What is the remainder when g is divided by 18?
16
Let k(c) = c**3 + 9*c**2 - 28*c - 60. Calculate the remainder when 84 is divided by k(-11).
0
Suppose 3*t + 0*t - 42 = 0. Let r(g) = 2*g**2 - 29*g + 18. Calculate the remainder when t is divided by r(14).
2
Suppose -3*s - 5 = -38. Suppose -8*x + 440 + 120 = 0. What is the remainder when x is divided by s*(-8)/(-4) - -2?
22
Let p = 20 + 18. Let d(g) = 8*g - 7*g + 24*g - 14*g**2 + 15*g**2 - 1. What is the remainder when d(5) is divided by p?
35
Suppose 0 = 24*m - 13*m - 220. Calculate the remainder when 77 is divided by m.
17
Suppose 7*v - 9 - 19 = 0. Suppose v*m + 31 - 219 = 0. What is the remainder when 91 is divided by m?
44
Suppose 3*y = -9, 5*x - 6 = -2*y - y. Suppose -3*p - 4*u + 209 = 0, -x*p + u - 3*u + 211 = 0. Calculate the remainder when p is divided by 15.
11
Suppose 0*h = h - n - 92, 0 = -4*h - 5*n + 341. Let q = 197 - h. Suppose q = -2*a + 4*a. What is the remainder when a is divided by 14?
12
Let z(l) = 12*l + 51. Let p be z(-8). Calculate the remainder when 3/9*p/(-1) is divided by 8.
7
Let t = -33 + 49. What is the remainder when (24 + 3)*5/3 is divided by t?
13
Calculate the remainder when (602/(-42))/(2/(-24)) is divided by 58.
56
Suppose -5 = -15*a + 10*a. What is the remainder when (a/3)/((-4)/204)*-1 is divided by 7?
3
Suppose -81 = -3*j - 297. Let t = j + 130. Let i = -35 - -50. Calculate the remainder when t is divided by i.
13
Suppose s + 7 = -4*u, 9 = 3*s + u - 3. Suppose 2*z - 6 = 5*f, -3*f = -s*z - 0*z + 34. What is the remainder when 22 is divided by z?
6
Let z(y) = y**2 - 3*y + 1. Let p be z(2). Let m be 72/(p/(-18)*2). What is the remainder when m/32 + 3/4 is divided by 6?
3
Let r = -488 + 515. Calculate the remainder when 184 is divided by r.
22
Suppose -48 = 2*b - 4*v, -5*b - 58 - 62 = -4*v. Suppose w = 5*t + 95, 5*t = -w + 32 + 63. What is the remainder when w is divided by 1/6 + (-380)/b?
15
Let v = -2087 + 2269. Suppose 2*t - 35 = 57. Calculate the remainder when v is divided by t.
44
Let q(j) = -83*j - 259. Calculate the remainder when q(-7) is divided by 67.
54
Let l = -173 + 206. What is the remainder when l is divided by 18?
15
Suppose 4 + 6 = 2*a. Suppose -n = -3*n + 10. Suppose -n = -2*t + 1. Calculate the remainder when a is divided by t.
2
Let n = 85 + -85. Suppose -o - 3*b + 66 = n, -4*o - 4*b + 171 = -101. Calculat