ate the remainder when 143 is divided by k.
43
Let f be 2*(-4 - 24/(-3)). Let i(w) = w**3 - 7*w**2 - 16. Let k be i(f). Suppose -3*h = -k - 9. Calculate the remainder when 75 is divided by h.
18
Let x(u) = -u**3 + 8*u**2 + u + 5. Suppose 4*q = 3*o + 18, o - 6 - 1 = -3*q. Let s(w) = 7*w**2 + 2*w + 1. What is the remainder when s(o) is divided by x(8)?
12
Suppose 0 = -l - 2*k + 15, -20 = -5*l - k + 37. Suppose -l = -2*g - 5*v, 7*g + v + 17 = 9*g. What is the remainder when 24 is divided by g?
0
Suppose 221*h = -100*h + 1605. Let i(d) = d + 13. Calculate the remainder when i(0) is divided by h.
3
Suppose 13*y - 12*y + 39 = 0. Let v = y - -41. Let m = 6 - v. Calculate the remainder when m is divided by 2.
0
Let s = 12481 + -12402. What is the remainder when 167 is divided by s?
9
Suppose -29*k - 256 = -4*t - 25*k, -5*t - 2*k + 320 = 0. Calculate the remainder when 1379 is divided by t.
35
Let w(u) = -u + 21. Suppose -10*m = m + 3641. Let x = m + 380. What is the remainder when x is divided by w(10)?
5
Let s = 15 + -13. Suppose 3*h + 3*l = 234, -s*l - l = 3. What is the remainder when h is divided by 18?
7
Suppose 59*q + 16275 = 66484. Calculate the remainder when q is divided by 13.
6
Suppose -2*g - h = g - 44, -3*h - 50 = -5*g. Let b = -10 + g. What is the remainder when (198/(-2))/(b - 4) is divided by 20?
19
Let q(p) = p**3 - 2*p + 1. Let s be q(1). Let v = 7 - s. What is the remainder when 41 is divided by 26/91 + 75/v?
8
Let r = 8 + -8. Calculate the remainder when (r - -5)/(16/208) is divided by 16.
1
Let t be (-752)/(-240) - (-2)/(-15). Suppose 0 = -3*a + g + 133, t*g + 5 = a - 42. Calculate the remainder when 215 is divided by a.
39
Suppose -184*y + 171*y + 182 = 0. Calculate the remainder when 1650 is divided by y.
12
Let m = 12 + 2. Let n = -892 + 1283. Calculate the remainder when n is divided by m.
13
Let m(y) be the first derivative of -y**3 + 31*y**2/2 - 10*y + 14. What is the remainder when m(8) is divided by 10?
6
Suppose -2*p + 68 = -p. Let d = -943 + 958. What is the remainder when p is divided by d?
8
Let d(w) = -w**3 - 3*w**2 - 12*w - 25. Let b(n) = -n**2 - 24*n - 132. Let o be b(-8). Calculate the remainder when 62 is divided by d(o).
23
What is the remainder when 2763/39 + (-102)/(-663) is divided by 18?
17
Suppose -33*v + 32*v = 4*u - 17587, -2*v = u - 4388. What is the remainder when u is divided by 110?
108
What is the remainder when 370 is divided by 256/44*1353/246?
18
Let j = 254 + -170. Suppose 7*v - 3*v - j = 0. Let r = 403 + -299. Calculate the remainder when r is divided by v.
20
Suppose -3*y + 11 = 11. Suppose -13*l + 56 + 139 = y. What is the remainder when 44 is divided by l?
14
Suppose -19*h + 634 + 962 = 0. Suppose -h = -3*v + 41*a - 46*a, -2*v - 2*a = -56. Calculate the remainder when 165 is divided by v.
25
Suppose -859 = -109*p + 2629. Calculate the remainder when (623/28)/((-2)/(-8)) is divided by p.
25
Suppose -242556 = -24*j - 27*j - 31*j. Calculate the remainder when j is divided by 78.
72
Let l be ((-6)/(36/30))/(-1). Suppose -l*m + 128 + 592 = 0. What is the remainder when m is divided by 29?
28
Let i(t) = -t**3 - 62*t**2 + 194*t + 73. What is the remainder when 1268 is divided by i(-65)?
26
Let u be (-308)/33 - (-1)/3. Let g be (-5)/((-30)/136)*u. Calculate the remainder when -2 + (g/8)/((-6)/8) is divided by 9.
5
Let l(n) = -8*n**2 + 6*n**2 + 12*n**2 + 25 - n**3 + 8*n + 0*n**3. Let v be l(11). Calculate the remainder when (300/(-16) - 0)/(1/v) is divided by 19.
17
Suppose 9*f = 262 + 683. Suppose -3*h - h + u + f = 0, 2 = -2*u. What is the remainder when 61 is divided by h?
9
Suppose 0 = 379*d - 456*d + 34111. Calculate the remainder when d is divided by 98.
51
Let x = 153 - 241. Let p = 100 + x. Calculate the remainder when 33 is divided by p.
9
Suppose 2*f = 330*o - 334*o + 80, 6 = o. Suppose -z - 2*z + 240 = 0. What is the remainder when z is divided by f?
24
Suppose 10*t - 752 = 6*t. Let h(i) = -5*i**3 + 2*i + 2. What is the remainder when t is divided by h(-1)?
3
Let z(i) = -5*i + 11. Let k(n) = -4*n + 12. Let a(b) = 4*k(b) - 3*z(b). What is the remainder when 0 - 1486/(-26) - 28/182 is divided by a(0)?
12
Suppose -2*u = -3*p + 57, -u = -3*p + 3*u + 51. Suppose -f + 7*w - 3*w = 9, -f - 2*w + 3 = 0. What is the remainder when ((f - 1)*59/(-2))/1 is divided by p?
17
Let d(o) = -2*o - 1. Let a(g) = -21*g - 51. Let j(p) = 3*a(p) - 6*d(p). What is the remainder when 226 is divided by j(-4)?
55
Let t be ((-4 - -3)/(-1))/(1/10). Suppose -127 = -t*k + 173. What is the remainder when 149 is divided by k?
29
Let d = 111 - 76. Let q(u) = u**2 - 11*u - 50. Calculate the remainder when q(-8) is divided by d.
32
Let f(z) = -5*z - 63. Let a be f(-13). Let t(r) = -21*r + 24*r**2 - a*r**3 + 3*r**3 - 7*r**2 - 46 + 4. What is the remainder when 44 is divided by t(-18)?
8
Let b(d) = -d**2 - 11*d + 159. Let w = -72 - -72. Calculate the remainder when b(w) is divided by 8.
7
Suppose 4*q = 8*q - 4. Let a = 33 - q. What is the remainder when a is divided by 15?
2
Let y(a) = a**3 + 5 + 15*a + 8 + 32*a**2 - 15*a**2. Calculate the remainder when y(-16) is divided by (40/(-30))/((-3)/((-162)/(-4))).
11
Let k(g) = 22*g - 17. Suppose 0 = 4*r + 3*l - 8*l - 19, 5*r = 5*l + 25. Let y be k(r). Let i = y + -82. Calculate the remainder when i is divided by 14.
5
Let l = 36 + -429. Let s = l - -615. What is the remainder when s is divided by 78?
66
Let m(i) = -16*i**3 - i**2. Let g(y) = -253*y + 768. Calculate the remainder when m(-1) is divided by g(3).
6
Suppose 942*p - 12300 = 922*p. Calculate the remainder when p is divided by 90.
75
Let r = -123 + 177. Suppose -45 = 3*p - r. Suppose -2*l - p*b + 12 = -3, 4*l - 21 = 3*b. Calculate the remainder when 28 is divided by l.
4
Suppose 4*b + 136 = 8*b. Let c(z) = -z**3 - 32*z**2 - 93*z - 76. What is the remainder when c(-29) is divided by b?
30
Let o(z) = 4*z**2 - 51*z + 239. What is the remainder when 401 is divided by o(6)?
16
Calculate the remainder when 335 is divided by (-143)/(-52) - 53/(-4).
15
Let s = 541 + -184. Calculate the remainder when s is divided by ((-153)/85)/(-12 + 7 - 1235/(-250)).
27
Let f be -87 + -3 + 1 + -4. Let w = f + 107. Suppose 0 = -15*q + w*q + 4. Calculate the remainder when q is divided by 4.
0
Suppose -18 = -3*i + 3*x, 0 = -3*i + 5*x + 4 + 6. Suppose -i*q + 66 = -8*q. Calculate the remainder when q is divided by -3 - (-4)/3*9.
6
Suppose 5*q + 200 = -22*v + 1119, -v - 2*q = -40. What is the remainder when 4335 is divided by v?
9
Let c(w) = -1192*w - 6619. Calculate the remainder when c(-6) is divided by 77.
71
Let d be (1 - 0/(-8))/((-1)/8). Let r(c) = -c**3 + 9*c**2 + 8*c + 4. Calculate the remainder when r(6) is divided by (-2)/d - (-163)/4.
37
Suppose -t - 4*v = -24, -4*t - 5*v + 57 + 61 = 0. What is the remainder when 987 is divided by t?
27
What is the remainder when 256 is divided by (-4)/(-42) + 738/189?
0
Let w be 58/87 - (-71)/(-3). Let z = 449 + w. What is the remainder when ((-2)/((-24)/z))/((-1)/(-2)) is divided by 18?
17
Let q = -22511 + 23754. What is the remainder when q is divided by 23?
1
Let a(h) = -79*h - 86. Let o be -7 + 6/(-9)*-6. Calculate the remainder when a(o) is divided by 38.
37
What is the remainder when 17*3 - 6/(-3) is divided by (1 - -59)*705/4700?
8
Suppose 137*c = 1544 + 2018. What is the remainder when 2416 is divided by c?
24
Let a(p) = 2*p**3 + 174*p**2 - 175*p + 387. What is the remainder when 1473 is divided by a(-88)?
277
Suppose 3*g + 3*y - 64 = g, -3*g + 94 = 5*y. Let z = g - 28. Calculate the remainder when 4/((-32)/(-130)) + (-95)/76 is divided by z.
5
Let y = -31824 + 36269. What is the remainder when y is divided by 28?
21
Suppose 2611 = 131*h - 1272 - 309. Calculate the remainder when h is divided by 17.
15
Let y(l) = 12*l**2 + 158*l + 7. What is the remainder when y(-31) is divided by 73?
71
Suppose 18*r - 982 = 669 - 85. Calculate the remainder when 116 is divided by r.
29
Suppose i - 34 - 10 = 0. Let x be -7 + (-7 - -11) - (3 - 27). Suppose -5*f + x = -i. What is the remainder when 36 is divided by f?
10
Let l(i) = -163*i**3 - 5*i**2 - i + 1. What is the remainder when l(-2) is divided by 14?
13
Let k(r) = 13*r**2 + 4*r**2 - 16*r**2 - 8*r - 38. Calculate the remainder when 15 is divided by k(12).
5
