te the remainder when 35 is divided by z(9).
8
Let v(z) = -z**3 + 3*z**2 + 130*z + 7. What is the remainder when v(12) is divided by 106?
59
Let i(a) = -a**2 + 7*a - 4. Suppose 23*v + 36 = 289. What is the remainder when v is divided by i(5)?
5
Suppose 16*d = 14*d + 8. Suppose 32 = 3*x + m, -x + 6*x = -d*m + 65. Calculate the remainder when 4/(-18) + 146/9 is divided by x.
7
Let s(c) = 9*c**2 - 4*c + 3. Suppose -2*w = -5*l - 154, -4*w + 4*l - 84 = -428. What is the remainder when w is divided by s(2)?
30
Let g(v) = -v - 1. Let f be g(-4). Suppose 917 = 7*c - 21. Suppose -5*a = f*s - c, 0 = 4*s - 0*s + 3*a - 197. Calculate the remainder when s is divided by 18.
17
Let k be 210/(-280)*(-2 + (1 - 3)). Suppose -10*o + 13*o + 4*f = 24, -2*o + k*f + 33 = 0. Calculate the remainder when o is divided by 7.
5
Suppose 101*m + 92*m - 38932 = -1104. Calculate the remainder when 919 is divided by m.
135
Let h = -3093 + 3112. Suppose -4*r + 943 + 102 = 5*j, -4*j - 2*r = -830. Calculate the remainder when j is divided by h.
15
Let j = -222 + 320. Suppose p + 126 = v, -6*v - 383 = -9*v + 2*p. Suppose -141 = -8*u + v. Calculate the remainder when j is divided by u.
30
Suppose 5*z - 4*n - 70 = 0, -z = 2*n - 11 - 3. What is the remainder when 348 is divided by (1 + -4)*-7*z/21?
12
Suppose -5*x + 5*m = 15, -10*x - 2 = -6*x + m. What is the remainder when 1020/18 + 3/9 + x is divided by 16?
8
Let u = 5018 - 4692. Calculate the remainder when u is divided by 14.
4
Suppose 4*n + 172 = 5*h + 2*n, -5*h - 3*n = -192. Suppose w = -0*w. Calculate the remainder when 642/(-6)*(-1 - w) is divided by h.
35
Calculate the remainder when 671 is divided by ((-156)/(-20))/((126/(-90))/(-7)).
8
Let v(h) = 6*h**2 + 60*h + 163. Calculate the remainder when 170 is divided by v(-3).
22
Let t(w) = -2*w**3 - 2*w**2 - 6*w - 4. What is the remainder when t(-4) is divided by ((-180)/108)/((-1)/18)?
26
Suppose k = 4*n - 2*k - 330, 340 = 4*n + 2*k. Let m = n + -26. Suppose 3*x = -4*t + 78, -3*t = -3*x + 5*x - m. What is the remainder when t is divided by 5?
3
Let h(y) = -y**2 + 24*y + 3. Let i be h(24). Suppose 10*g - 189 = i*g. Calculate the remainder when 95 is divided by g.
14
Let g(m) = -130*m + 7149. Calculate the remainder when 10875 is divided by g(53).
256
Let n(y) = -51*y**2. Let s be n(-1). Let f = s - -51. Suppose -q = -f*q - 11. What is the remainder when q is divided by 7?
4
Suppose -125*g + 136*g = 385. Calculate the remainder when g is divided by 7.
0
Let v be (-15)/(4*(-9)/24). Let k(c) = 2*c - 11. Calculate the remainder when 88 is divided by k(v).
7
Let x be -3 - -1 - 0 - -23. Suppose 0 = 7*q - 0*q - x. Suppose -q*y - 47 + 56 = 0. What is the remainder when 20 is divided by y?
2
Let j = 123 - 69. Let p(g) = g**3 + 12*g**2 - 100*g - 875. Calculate the remainder when p(11) is divided by j.
52
Suppose 5*f + 104 = -3*z + 262, -5*f = 2*z - 102. Let m = -1027 + 1050. Calculate the remainder when z is divided by m.
10
Let i(z) = z + 15. Let d be i(27). Suppose d + 118 = 20*u. Calculate the remainder when 46 is divided by u.
6
Let s(d) = -d**3 - 5*d**2 - 5*d - 425. Calculate the remainder when s(-23) is divided by 19.
16
Suppose -2*m = -2*q - 5*m + 29, 0 = 4*q - 2*m - 34. Suppose -3*w + w - 182 = 0. Let u = w - -126. What is the remainder when u is divided by q?
5
Suppose 13*d - 90 = 92. What is the remainder when 103 is divided by d?
5
Suppose 18 = -11*m + 8*m. Let l = 42 + 12. What is the remainder when l is divided by ((-3)/m - 1) + (-87)/(-6)?
12
Let l(o) = -o + 10. Let y(q) = -2*q**3 + 9*q**2 + 5*q - 1. Let v be y(5). Suppose 0*m + 2*m = 98. What is the remainder when m is divided by l(v)?
5
Let t(y) = 11*y**3 + 3*y**2 - 3*y + 1. Let f(s) = 2*s + 32. Let n be 3/4 - -26*(-9)/24. What is the remainder when t(2) is divided by f(n)?
11
Let m(c) = c**2 + 349*c + 5392. Calculate the remainder when 699 is divided by m(-16).
59
Suppose -3*u + z = 2*u - 868, 2*z - 167 = -u. Suppose -u = 5*j - 598. Suppose 0 = 29*y - 315 - 526. Calculate the remainder when j is divided by y.
27
Let j = 2813 + -2593. What is the remainder when j is divided by 20?
0
Let v be (-1016)/(-28) + 4/14*-1. Suppose 4 + v = 5*d. What is the remainder when (-12)/(-78) - (-1415)/13 is divided by d?
5
Let x be 22 + -19 + 106/2. What is the remainder when (-4)/x + 23700/168 is divided by 53?
35
Suppose 3*j + 5*r = 82, -32 = -4*j + j + 5*r. Let u = -6 - -8. Suppose -5 = u*l - 25. Calculate the remainder when j is divided by l.
9
Let h(w) = -w. Let z(u) = -20*u + 50. Let o(t) = -15*h(t) + z(t). Let f be o(10). Suppose -8*c + 419 + 45 = f. Calculate the remainder when c is divided by 15.
13
Suppose 44*d = 55*d - 4477. What is the remainder when d is divided by 41?
38
Let c(d) = 3*d + 13. Let u be c(-3). Suppose 5*o = 4*s + 343, 0*s = -u*s + o - 363. What is the remainder when 122 is divided by -2 - -3*s/(-12)?
17
Let q(s) = -s**3 + 33*s**2 - 32*s + 50. Calculate the remainder when 196 is divided by q(32).
46
Suppose -294019 = 10*n - 257*n + 593452. What is the remainder when n is divided by 597?
11
Let i(w) = w**3 + 3*w**2 - 4*w + 1. Suppose 5*s = -0*s + 2850. Suppose 217*a = 212*a + s. What is the remainder when a is divided by i(-3)?
10
Suppose 10*v - 74 = 6. Let b = -104 - -105. Calculate the remainder when 299/5 + (48/40 - b) is divided by v.
4
What is the remainder when 1393 is divided by ((-210)/40 + 3)/(35/40 + -1)?
7
Let n(g) = 25*g - 10. Suppose -2*p = -s - s + 2, 3*s = -2*p + 8. What is the remainder when 56 is divided by n(p)?
11
Let n(y) = 878*y - 2624. What is the remainder when 4604 is divided by n(3)?
4
Suppose 22*c - 63565 - 18187 = 0. What is the remainder when c is divided by 24?
20
Let c = 37 - 4. Suppose -15*a = -967 + 292. Suppose 0*u - 36 = -4*i - u, 5*i - a = -4*u. What is the remainder when c is divided by i?
6
Let j(a) = 29*a**2 + 42*a - 145. What is the remainder when j(9) is divided by 18?
8
Let o = -5091 + 5219. Calculate the remainder when o is divided by 77.
51
What is the remainder when 1230 is divided by 98714/385 - (-4)/(-10) - 6?
230
Let i = 384 + -381. Suppose 0 = q - 3*v + 7*v - 11, 63 = 3*q - i*v. What is the remainder when 68 is divided by q?
11
Let w(b) be the third derivative of -1/60*b**5 + 49/120*b**6 + 0*b + 15*b**2 + 0 - 1/3*b**3 + 1/12*b**4. Calculate the remainder when w(1) is divided by 25.
23
Let y = -1210 + 1276. Suppose 0 = 4*b + b + 315. Let j = y + b. What is the remainder when 8 is divided by j?
2
Let x be -63*91/(-63)*-3. Let t = x + 361. Calculate the remainder when t is divided by 2.
0
Calculate the remainder when -53 + 51 + (-1659)/(-3) is divided by 247.
57
Let m(o) = -137*o + 3712. What is the remainder when 201 is divided by m(27)?
6
Suppose 10 = -7*k + 9*k. Suppose -3 + 23 = k*d. Let h(n) = n**2 + 4*n - 2. Calculate the remainder when h(-8) is divided by d.
2
Suppose 0*t = 5*t - 10, 5*t + 77 = -3*k. Let o = k - -193. Suppose 60 = 8*a - o. What is the remainder when 165 is divided by a?
25
Let s = -6362 + 6377. What is the remainder when s is divided by 15?
0
Suppose -2*m = -4*m - 2. Calculate the remainder when (64/5)/(m/(-5)) is divided by 3.
1
Suppose -2*o - 1104 + 814 = 0. Let i(u) = u - 3. Let f be i(-3). Calculate the remainder when (f/15)/(1/o) is divided by 31.
27
Let r(h) be the first derivative of 37*h**2 + 15*h - 12. Calculate the remainder when r(2) is divided by 83.
80
Suppose 8*r + 4453 = 12861. What is the remainder when r is divided by 39?
37
Let p(a) = 8*a + 143. Let w be p(-16). Let o(q) = 7*q - 67. What is the remainder when 149 is divided by o(w)?
35
Let x be 7/(10/(-65) + (-132)/(-520)). Let v = -60 + x. Calculate the remainder when 44 is divided by v.
4
Let f(d) = 3*d**3 - 7*d - 8. Let c be f(-3). Let y = 308 + c. What is the remainder when y is divided by 82?
76
Suppose 0 = -4*b + 4*w + 68, 4*b + 3*w + 21 = 5*b. What is the remainder when (-5)/45 + (4/90)/((-71)/(-132770)) is divided by b?
8
Calculate the remainder when (2604/(-119) + 2/(-17))/(-2) is divided by (-4)/6*(-6)/4.
0
Suppose 29*y = 6697 + 4178. Let p = 403 - y. What is the remainder when 107 is divided by p?
23
Suppose 136 + 74 = 5*z. Suppose -2*w = -z + 14. Suppose 4*y - 12 = 2*h - 76, -4*h + 152 = -2*y. What is the remainder when h is divided by w?
12
Suppose 15 = 5*d - 