hat is the remainder when g(1) is divided by k?
2
Let h(q) = 74*q**2. Let w be h(1). Let n(r) = r**3 + 5*r**2 + 4*r + 15. Let c be n(-6). Let l = c + w. What is the remainder when l is divided by 6?
5
Suppose 2*h + 4*o - 88 = 0, -3*o - 70 = -3*h + 17. Suppose 11*m - 8*m = 402. What is the remainder when m is divided by h?
32
Suppose -3075 = 15*j - 40*j. Calculate the remainder when j is divided by 66.
57
Suppose -138 + 30 = -6*a. Suppose 21*z - a*z = 153. Calculate the remainder when z is divided by 27.
24
Suppose 43 + 5 = 8*h. What is the remainder when 238 is divided by h?
4
Let x = 20 - 13. Suppose 0 = -4*t - x + 43. Suppose -4*f + f + 15 = 0. Calculate the remainder when t is divided by f.
4
Suppose 42*t = 50*t - 536. Calculate the remainder when t is divided by 14.
11
Let o(b) = -b. Let g be o(-5). Suppose -5*m + 4 = u, 0 = -g*u - 0*u + m + 46. Calculate the remainder when 33 is divided by u.
6
Let k(h) = 4*h**2 - h + 3. Let q be k(-2). What is the remainder when 43 is divided by (1 + q)*2/4?
10
Let f be (42/(-5))/((-18)/15 + 1). Suppose 0 = -3*b - 3*s + f, b = -4*s - 0*s + 11. What is the remainder when 87 is divided by b?
12
Let r be 29/(-3) - (55/(-15) - -4). Calculate the remainder when (-24)/r*((-17)/(-2) + 4) is divided by 18.
12
Suppose -3*m = -9 - 21. Let d be (-10)/35 - (-24690)/(-21). Calculate the remainder when 6/33 + d/(-66) is divided by m.
8
Suppose -133 - 77 = -10*w. Suppose -2*m + 46 = -160. Calculate the remainder when m is divided by w.
19
Suppose 0 = -3*d - 6*d + 234. Calculate the remainder when 15/((-18)/(-15) - 1) is divided by d.
23
Let u = 124 + -60. What is the remainder when u is divided by (-1650)/(-45)*(-12)/(-20)?
20
Let g(m) = 4*m - 4. Let z be g(2). Let a(u) = 4*u**2 - 9*u - 4. Calculate the remainder when a(z) is divided by 5.
4
Let y(a) = 239*a**2 - 2*a + 1. Let n be y(1). Suppose 0*m = 5*m + 4*i - 21, 0 = 2*m + 5*i - 5. Calculate the remainder when (-8)/36 + n/18 is divided by m.
3
Suppose 6 = -n - n, -2*n - 123 = -3*o. Let d = -17 + 27. What is the remainder when o is divided by d?
9
Let t(m) = m - 12. Let c be t(0). Calculate the remainder when 200/c*6/(-4) is divided by 7.
4
Let y be (-8)/(-3) - 6/(-18). Suppose 0 = n - 0*n - y*l - 83, 2*n - 142 = -2*l. Let m = -26 + n. Calculate the remainder when m is divided by 10.
8
Calculate the remainder when 236 is divided by 1/(-7*6/(-420)).
6
Let j = 12 + -4. Suppose 595 = -3*g + j*g. Let s = 79 + -49. Calculate the remainder when g is divided by s.
29
Suppose s + 2000 = 5*s. Suppose y + 4*q + 145 = -0, 3*y = q - s. What is the remainder when 39 is divided by 4/22 - 2280/y?
11
Let d(v) = -4*v**2 - 51*v + 35. What is the remainder when d(-12) is divided by 15?
11
Suppose 4*l + 129 = 7*l. Calculate the remainder when l is divided by 12.
7
Let y be 1*-2*(-3 - -5). Let o(h) = 5*h + 22. Let x(c) = -4*c - 21. Let p(l) = y*x(l) - 3*o(l). Calculate the remainder when 17 is divided by p(-9).
8
Suppose -23*h - 426 + 633 = 0. What is the remainder when h is divided by -2 - -6*(-1)/(-1)?
1
Let s(n) = 4*n + 0*n**2 - 8*n**2 + 1 + 10*n**2. Calculate the remainder when s(4) is divided by 14.
7
Suppose -z - z - 3*j + 88 = 0, 5*z - 211 = -3*j. Calculate the remainder when 285 is divided by z.
39
Suppose 3 = -4*h + h. Let k be (16/(h - -3))/2. Suppose v - 56 = -0*u - u, -k*v + 4*u + 224 = 0. Calculate the remainder when v is divided by 19.
18
Calculate the remainder when 119 is divided by (-2)/(-12) - (-1)/(-12)*-478.
39
Let a(g) = -g**3 - g. Let u be a(-1). Let y = -132 + 230. Suppose 3*i - x - y = -0*x, u*i + 4*x = 56. Calculate the remainder when i is divided by 11.
10
Suppose 6*m + 12 = 0, 2*m = -4*b + 4*m + 4360. What is the remainder when b is divided by 12?
9
Let s(o) = o. Let u be s(-5). Suppose 1177 = 16*i - 391. What is the remainder when i is divided by (1 + -1 + -5)*u?
23
Suppose -9 = 4*r - 5, -3*n = 4*r - 185. Calculate the remainder when n is divided by 45.
18
Let d = 1259 + -1043. What is the remainder when d is divided by 56?
48
Suppose -12*s + 236 = 32. Calculate the remainder when 45 is divided by s.
11
Let w(r) = 9 + r**2 - 34*r + 33*r - 59. Calculate the remainder when 32 is divided by w(8).
2
Let m = -759 - -775. What is the remainder when m is divided by 0 + 0 + -2 + 12?
6
Suppose k + 7 = 2*m, 0 = k - 0*k + 3. Suppose -m*x = -q + 23, -3*q = -2*x - 35 - 22. What is the remainder when 50 is divided by q?
16
Let w be 9/(4/4 + -2). Let g = 6 - w. Let m = g - -6. What is the remainder when m is divided by 8?
5
Suppose -8*i + 414 + 170 = 0. Suppose 2*l = 29 + i. What is the remainder when l is divided by 13?
12
Let l(r) = -r - 1. Let d be l(-6). Suppose d*z - 9 = 6. What is the remainder when (1 - 2)/(1/(-9)) is divided by z?
0
Let z = -2219 - -2272. Let q(p) = -13*p + 1. What is the remainder when z is divided by q(-1)?
11
Suppose -r + 42*r - 3485 = 0. What is the remainder when r is divided by 18?
13
Calculate the remainder when 712 is divided by (5 + (-95)/25)/((-7)/(-595)).
100
Suppose -5*a + 115 = -5*m, -5*a - 2*m + 94 = -0*m. What is the remainder when 57 is divided by a?
17
Calculate the remainder when (2 - 1718/(-14)) + (-2)/(-7) is divided by 9.
8
Let j = 8 - -60. What is the remainder when 205 is divided by j?
1
Suppose -u + 2*u = 0. Suppose 0 = -r + 5*s + 12, s = -2*r - u + 2. What is the remainder when r is divided by 2?
0
Let y = -179 + 181. What is the remainder when 4 is divided by y?
0
Let v = -1127 + 1299. What is the remainder when v is divided by 26?
16
Let v = 24 - 3. Let a = -19 + v. Suppose -72 = -a*x - 4*l, -x - 2*l + 4*l = -24. Calculate the remainder when 58 is divided by x.
28
Let l = 438 - 116. Calculate the remainder when l is divided by 19.
18
Suppose 0 = -3*i + 22 + 47. Suppose 0 = 2*v - 6, -4*l - 5*v + 4 + i = 0. Let h = 4 + -2. What is the remainder when l is divided by h?
1
Suppose 0 = 44*n - 46*n + 172. What is the remainder when n is divided by 11?
9
Suppose -3*b - 3*j = j - 379, -3*b + 397 = -5*j. Suppose -5*c - 73 = -3*u, -u - 3*c + 4*c + 25 = 0. What is the remainder when b is divided by u?
25
Let c be 3/2 + 1412/8. Suppose 167 + 17 = 2*a - p, -2*a = 2*p - c. What is the remainder when a is divided by 23?
22
Let r = -24 + 72. Suppose 6*u = 2*u + r. Suppose 0 = 3*x + u, 3*x = p + 8*x - 15. Calculate the remainder when p is divided by 9.
8
Let r(s) be the third derivative of s**5/60 - s**4/24 - s**3/2 - s**2. What is the remainder when (-9)/18 - 103/(-2) is divided by r(6)?
24
Calculate the remainder when ((-840)/16 + -16)/(1/(-6)) is divided by 141.
129
Suppose 4*o = -4*u + 148, -2*o + 65 + 8 = 3*u. What is the remainder when 189 is divided by o?
37
Let y = -73 - -138. What is the remainder when 124 is divided by y?
59
Let l(z) = z**3 - 6*z**2 + z + 5. Suppose -4*y - 3*t + 176 = 0, y + 3*t + 29 = 2*y. Calculate the remainder when y is divided by l(6).
8
Let m(r) = 4*r**2 + r. Suppose -4*a + 5 = q, -2*q = 6*a - 3*a - 15. Let w = 50 - q. What is the remainder when w is divided by m(-2)?
13
Suppose -18 = -3*p + 5*y, 2*p - 22*y + 24*y = 28. What is the remainder when p is divided by 8?
3
Let p(k) = -42*k - 66. Calculate the remainder when 105 is divided by p(-3).
45
Suppose -t - 4*l = 26, -11 = 2*t - 2*l + 11. Let x = t + 17. Suppose -4*k = -j - 35, -2*j - 22 = -3*k + x*j. What is the remainder when 25 is divided by k?
7
Let h be ((-169)/26)/((-2)/(-12)). Calculate the remainder when 57 is divided by (-1 + h/6)*-2.
12
Suppose 5*x - 4*d = -0*x + 4, -3*x + d + 8 = 0. Let q(t) = -t**2 + 4. Suppose -5*m + 5 = 5. What is the remainder when x is divided by q(m)?
0
Let f(h) = 6*h**2 - 10 - 5*h**2 - 1 + 6*h - 8. What is the remainder when f(-13) is divided by -5 - (-12*10)/6?
12
Let d = 4 + -2. Let o = -8 + 10. What is the remainder when d*-7*(-5)/o is divided by 12?
11
Let w(d) = d**2 - 7*d. Let b be w(7). Suppose b = -10*k + 5*k + 140. Suppose 0*m - 318 = -6*m. What is the remainder when m is divided by k?
25
Suppose 5*j = 50 + 130. What is the remainder when ((-207)/(-6))/(-1)*(-4)/2 is divided by j?
33
Let a(j) = -92*j + 20. Let s be a(-9). Suppose -s + 133 = -5*w. Calculate the remainder when w is divided by 48.
47
Suppose 5*r + 41 - 13 = -3*v, -3*v = -2*r + 14. Let y = v + -9. Let m = y + 33. Calculate the remainder when 69 is