et r(u) = u**3 - 10*u**2 - 38*u + 305. What is the remainder when 60 is divided by r(11)?
4
Suppose x = -2*q - 28, x + 116 = -3*x - 4*q. Let j = -26 - x. Suppose -j*z + 84 = 24. Calculate the remainder when z is divided by 6.
3
Suppose -12*w + 17*w = -4*u + 478, 4*w - 5*u - 407 = 0. Calculate the remainder when w is divided by 48.
2
Calculate the remainder when 1512 is divided by (5 - 12) + (-32)/(1*4/(-22)).
160
Suppose 162 - 3713 - 5171 = -49*h. Suppose 0 = 2*g - 2, 3*c = 4*c + 5*g - 20. What is the remainder when h is divided by c?
13
Let h(q) = -510*q - 755. What is the remainder when h(-4) is divided by 43?
38
Let c = -24 - -46. Suppose -m - 107 = -5*a + 3*m, -m = -a + c. Suppose 45959 = -3827*s + 1609*s + 250015. What is the remainder when s is divided by a?
16
Let h = 8316 - 8305. What is the remainder when (-4)/(-3)*3*7 is divided by h?
6
Suppose 4*g - 4 = 3*g. Suppose -45 = -5*k + g*k. Suppose 558 - 753 = -15*u. Calculate the remainder when k is divided by u.
6
Let f(s) = -s**3 + 6*s**2 - 6*s + 7. Let g(c) = 10*c**2 + 50*c. Let p be g(-5). What is the remainder when p*(-1)/(-4) - (-35)/7 is divided by f(5)?
1
Suppose 4*c + 15029 = 16209. Calculate the remainder when 676 is divided by c.
86
Let i = 200 + -118. Calculate the remainder when i is divided by (759/(-828) + 2/12)*-40.
22
Let s = -707 - -733. Suppose 122 = s*z - 8. Suppose 3*x + 4 = 5*x. Calculate the remainder when z is divided by x.
1
Let i(g) = 7*g + 1. Let o be i(2). Let k = -2535 + 2564. What is the remainder when 1239/o + 15/(-25) is divided by k?
24
Let i = -2587 - -2634. Calculate the remainder when 91 is divided by i.
44
Let l be ((-65)/(-4))/5 + 20/(-16). Let m(a) = 3*a**2 - 1. Suppose -u = 3*u + 4*k - 216, -5*u - 3*k + 268 = 0. What is the remainder when u is divided by m(l)?
9
Let w = 3778 - 3687. What is the remainder when 817 is divided by w?
89
Let h = -314 + 350. Let i(p) = -76*p**3 - p**2 - p. What is the remainder when i(-1) is divided by h?
4
Let t = -1546 + 1557. Let q = -28 + 12. Let i = q - -46. Calculate the remainder when i is divided by t.
8
Suppose -2*j = -2*s - 26, -s + 3 = 4. Let y(n) = 5*n + 5. Let v be 9 - 5 - 1*-2. Calculate the remainder when y(v) is divided by j.
11
Let m = -446 + 473. Suppose -76 = -4*i + 4. What is the remainder when i is divided by (m - 25) + (0 - (-2 + -2))?
2
Suppose 5*n + 2433 = h, 38*n - 12165 = -5*h + 36*n. Calculate the remainder when h is divided by 24.
9
Let h(i) = 11*i**3 + 10*i**2 - 2*i + 5. Let j be (57/(-133) - (-2)/70)*-10. Calculate the remainder when h(j) is divided by 27.
24
Let y = -239 + 371. Let z = 64 + -58. What is the remainder when 43 is divided by ((-2)/(-4))/(z/y)?
10
Suppose -8*q + 4275 - 1595 = 0. Suppose 11*r - 798 = q. Let f(h) = 21*h**3 + h - 1. What is the remainder when r is divided by f(1)?
19
Let v be (159/4)/(36/48). Let o = -28 + v. Calculate the remainder when 373 is divided by o.
23
Let u be (-6)/4*-5*(-24)/(-30). Let y be 2/(-3)*(-80 + -1 + 0). Calculate the remainder when (118/6)/(u/y) is divided by 9.
6
Let z = 51 - 24. Let a = -153829 + 153908. What is the remainder when a is divided by z?
25
Suppose 4362*n = 4339*n + 2162. What is the remainder when 282 is divided by n?
0
Let a(m) = 286*m + 11235. What is the remainder when 1613 is divided by a(-39)?
74
Let j = 744 - 425. Suppose 466*g - 470*g = -80. Calculate the remainder when j is divided by g.
19
Let u = -7570 + 7557. Let j(o) = 9*o + 2*o**2 + 0 + 14 + 14*o. What is the remainder when 210 is divided by j(u)?
51
Suppose -2*j + 6 = -4*j, -3*w - 2*j + 1245 = 0. Calculate the remainder when w is divided by 148.
121
Let u(d) = 12*d + 92. Let k be u(-8). Calculate the remainder when (-96 - -130)/(-3*k/90) is divided by 16.
15
Suppose -4*w + 2*w + 22 = 0. Suppose -14*i = -3*b - w*i + 93, -2*b - 4*i + 44 = 0. What is the remainder when 73 is divided by b?
17
Let i = -6999 - -7059. Calculate the remainder when 77 is divided by i.
17
Let v(d) = -2*d + 97. Let y be v(43). Suppose -99 = -0*n - y*n. Calculate the remainder when 99 is divided by n.
0
Let r = -89 + 135. Let s = 450 - 449. Calculate the remainder when r is divided by 4 + (-2)/5*-30*s.
14
Let v = 7824 + -7582. Calculate the remainder when v is divided by 30.
2
Suppose -12*o + 16*o - 1020 = -d, 0 = -5*d - 2*o + 5064. What is the remainder when d is divided by 5?
2
Suppose 3*k - 38 = -5*h + 465, 3*h - 293 = -4*k. Calculate the remainder when h is divided by 442/12 - 19/(798/35).
31
Let r = -54 - -85. Let w = r + 5. Let u = w - 27. Calculate the remainder when 16 is divided by u.
7
Calculate the remainder when 911 is divided by 2 + (-16 - -17) + 12/((-4)/(-4)).
11
Let s = -328 + 338. Let q = 112 - 76. Suppose -2*o + 26 = -2*i - 2*i, 2*o + i - q = 0. Calculate the remainder when o is divided by s.
7
Suppose 0 = -4*l + 3*t + 38, -t + 0*t = -3*l + 26. Let m(d) be the first derivative of -d**2/2 + 17*d - 338. Calculate the remainder when 26 is divided by m(l).
8
Let l(m) = 3*m + 35. Let k be l(-9). Let o(j) = -1 + j**3 - 6*j**2 - 19*j - 4 + 4 + 5*j. What is the remainder when o(k) is divided by 6?
3
What is the remainder when ((-45732)/24)/((-1)/2) + 6 is divided by 19?
17
Suppose -39 = -5*q + 6*q. Let f = -27 - q. Let h(m) = m**2 - 5*m - 8. What is the remainder when h(f) is divided by 13?
11
Suppose 3*p - 1650 = -5*s - 2*p, -5*s = -p - 1650. Calculate the remainder when 81 is divided by (-11)/(s/24)*-35.
25
Let x(o) = -o**2 - 27*o + 58. Calculate the remainder when x(-27) is divided by 20.
18
Let o(j) = j**3 + 6*j**2 + 2*j + 3. Suppose -7*u - 10 = -5*u. Let h(l) = -l**3 - 77*l**2 - 223*l - 43. What is the remainder when h(-74) is divided by o(u)?
13
Let b(f) = -f**3 - 18*f**2 - 16*f + 40. Let r be b(-17). Suppose r*z - 138 = 21*z. What is the remainder when z is divided by (28/(-12) - -1)*-27?
33
Let w(d) be the second derivative of 11*d**3/3 - 49*d**2/2 + 14*d. Let s be w(7). What is the remainder when (-1)/((-213)/s - -2) is divided by 10?
5
Suppose 0 = 4*q + 5*r - 1038, -3*q + 2*r = -7*q + 1032. What is the remainder when q is divided by 102?
53
Suppose 350 = -h + 2*h. Suppose 0*n = -7*n + h. Suppose x - 2*x = 2*q - n, 5*q - 128 = -x. Calculate the remainder when 101 is divided by q.
23
Let a(z) = -z**2 - 9*z + 5. Let n be a(-10). Let u(d) = -d**3 - 4*d**2 + 4*d + 12. Let j = 210 - 178. What is the remainder when j is divided by u(n)?
15
Suppose -12097 = -30*k + 6983. What is the remainder when k is divided by 13?
12
Let v(y) = 4*y + 11. Let n be v(7). Let s = -29 + n. Suppose -s*l + 5*l = -175. Calculate the remainder when 101 is divided by l.
31
Suppose -378*y + 59*y = -100166. What is the remainder when y is divided by 99?
17
Let g be -1 + 3 + -5 - -40. Suppose 3*f - g = 11. Let o(d) = 12*d - 112. Calculate the remainder when o(14) is divided by f.
8
Let p be ((-105)/2)/(7*10/(-980)). Let y = -602 + p. Calculate the remainder when y is divided by 73.
60
Let k = -967 - -1040. Suppose 0 = 3*l - 4*l - 56. Let m = l + k. Calculate the remainder when m is divided by 6.
5
Let u = 23899 + 10146. Calculate the remainder when u is divided by 27.
25
Suppose p = -4*z - 0*p - 3168, 4*z = -5*p - 3184. Let d = 1284 + z. Suppose -17*r + 1275 = -d. What is the remainder when r is divided by 15?
14
Let w = 4208 + -4107. Suppose -42*x = -46*x + 140. Calculate the remainder when w is divided by x.
31
Let m(s) = 13*s**2 - 387*s - 62. Calculate the remainder when 189 is divided by m(30).
21
Let g be (-1119)/45 + 10/(-75). Let w = g - 50. Let q = 80 + w. Calculate the remainder when 18 is divided by q.
3
Suppose -32*h - 26*h = -20*h - 798. Let r(f) = f**3 - 4*f**2 + 4*f - 4. Let v be r(6). Let p = v - 11. Calculate the remainder when p is divided by h.
18
What is the remainder when 1007 is divided by (36 + -22 + -13)*-2*(-301)/2?
104
Suppose -c + 24 = 5*a, 0 = -15*a + 10*a - 20. What is the remainder when 59 is divided by c?
15
Suppose -8*q = -11*q. What is the remainder when -1*(2 + q) + 300 is divided by 60?
58
Let f be (-1 - 93)/(1/(56/(-16))). Suppose f = 25*j - 171. Calculate the remainder when 169 is divided by j.
9
Let q(h) = 5*h - 113. Let b be q(23). Suppose 3*m = b*w - 61, 3*w + 3*m + 67 = 166. Calculate the remainder when 82 is divided by w.
18
Suppose 134 = 2*m + 16. Let z = 88 - -