remainder when 85 is divided by r.
21
Let c = 474 + -463. Suppose -2*t - 2*h = -394, -12*t + h + 205 = -c*t. What is the remainder when t is divided by 12?
9
Let c = 7 - -27. Suppose -7*u - 176 = -4*k, 10*k + 4*u = 9*k + 113. What is the remainder when k is divided by c?
31
Let l(f) be the second derivative of 18*f + 0 + 1/2*f**2 + 7/12*f**4 + 1/3*f**3. Calculate the remainder when l(-2) is divided by 9.
7
Calculate the remainder when 367 is divided by ((-8)/((-80)/(-78)))/(12 + (-366)/30).
16
Let f = -360 - -471. Let u(v) be the third derivative of v**5/60 + 4*v**2. Calculate the remainder when f is divided by u(4).
15
Let w(z) = -18*z + 39. Let s be (-18)/(-36)*9*2. Let t be w(s). Let g = t - -131. What is the remainder when g is divided by 7?
1
Let l be 12/(-4)*(-24)/18. Let d be (l/10)/((-3)/(-1155)). Let z = -127 + d. What is the remainder when z is divided by 15?
12
Let o(h) = 28*h**2 + 6*h - 5. Let y be o(1). Let i = 107 - y. Calculate the remainder when i is divided by 20.
18
Let w(o) = -o**2 - 9*o - 6. Let l(a) = -a**3 + a**2 - 9. Let x be 1 - (0 - -4) - -1. Calculate the remainder when l(x) is divided by w(-8).
1
Suppose 3*v - 753 = -a, -2*v + 6*v - 1003 = -a. Suppose 19*y - 168 - v = 0. What is the remainder when 196 is divided by y?
20
Let r(o) = -5*o - 8. Let t be r(-7). Suppose 5*v - 5*i + 110 = 0, -v + 5*v + 95 = -3*i. Let a = v + t. What is the remainder when 14 is divided by a?
2
Suppose -280*c = -264*c - 1344. What is the remainder when 4619 is divided by c?
83
Let q be 8/(-72) + 948/27. Suppose 21*f + 518 = q*f. What is the remainder when 143 is divided by f?
32
Suppose 197*n + 120*n = 4121. What is the remainder when 990 is divided by n?
2
What is the remainder when 2624 is divided by 149 - (5 - 2)*((-91)/(-21) + -6)?
6
What is the remainder when 159 is divided by -55*3/(-99) + (-91)/(-3)?
31
Calculate the remainder when (199 - (-3 - -1))/((-17)/((-29189)/51)) is divided by 111.
107
What is the remainder when 369 is divided by (-88)/40*5 - -20?
0
Let h = -13 - -23. Suppose -b + 12 = 2*l + 11, 2*l + 9 = -3*b. Let w(r) = 10*r + 17. Calculate the remainder when w(l) is divided by h.
7
Let v = 65 - -113. What is the remainder when 201 is divided by v?
23
Suppose 3*y + 24 = -3*p, y + 3*p + 8 = 5*p. Let i = 26 + y. What is the remainder when 627/12 - 1/4 is divided by i?
16
Suppose -3*h + 5*d = 299, -320 - 74 = 4*h - 2*d. Let p = h + 123. Calculate the remainder when p is divided by 14.
11
Let o = 5 + 2. Calculate the remainder when o is divided by ((-2611)/(-112) - 23)*16.
2
Let j = 2392 + -2071. Calculate the remainder when j is divided by 67.
53
Let s = 5341 - 4690. What is the remainder when s is divided by 60?
51
Suppose -15*j = -3*f - 12*j + 168, f + 2*j = 65. What is the remainder when 222 is divided by f?
45
Let w = 92 - 90. Suppose -w*m + 10*m - 480 = 0. Suppose -61*y + 8 = -m*y. Calculate the remainder when y is divided by 7.
1
Calculate the remainder when 337 is divided by 17/(-2)*(176 - 180).
31
What is the remainder when 94 is divided by (7 + -28)/(3/(-3))?
10
Let s be 1 + 22 - (8 - 7). Suppose -u = 7 - s. What is the remainder when 68 is divided by u?
8
Suppose -99 = -3*q + 4*l + 10, 3*l - 112 = -4*q. Let n = 44 - q. Let d = n - -16. What is the remainder when d is divided by 11?
7
Suppose 0 = -4*h - 4*f + 44, -4*h + 48*f - 41*f - 33 = 0. Suppose 0 = 2*p - 4 - 4. What is the remainder when h is divided by p?
0
Suppose -7*n + 2*n = -4*i - 15, 3*n - 9 = -i. Suppose -n*j + 497 = 170. Calculate the remainder when j is divided by 24.
13
Suppose k = 3, 3*b - 2*b + 10*k = 589. Calculate the remainder when b is divided by 162.
73
Suppose -3*t - l + 82 = -3*l, -4*t + 3*l = -108. Suppose -m = 5*d - 3*d + 523, 3*d + 2107 = -4*m. Let h = 536 + m. What is the remainder when t is divided by h?
2
Suppose -17*x + 70744 = 38*x - 3121. Calculate the remainder when x is divided by 42.
41
Let n = 11135 - 11071. Calculate the remainder when 821 is divided by n.
53
Suppose -6*w + 3*w - 2*v + 77 = 0, -2*w = -4*v - 46. Let k be (-662)/18 - (-6)/(-27). Let p = k + 45. Calculate the remainder when w is divided by p.
1
What is the remainder when 806 is divided by 6 + (-494)/52 - 2*(-2974)/8?
66
Let l = -7745 + 8193. Calculate the remainder when l is divided by 7.
0
Let x = -8 - -14. Let a = -20895 + 20935. What is the remainder when a is divided by x?
4
Suppose -3*z - 48 = 3*z. Let y be -3106*1/(-8) - (-2)/z. Suppose -5*m = 18 - y. What is the remainder when m is divided by 38?
36
Suppose 12*j = 9*j + 69. Suppose -5*h + j = 3. Suppose -3*r + 5 + h = 0. What is the remainder when 18 is divided by r?
0
Let l(f) = 22*f**3 + f**2 - f + 1. Let w be l(2). Suppose -3*z + w = -148. What is the remainder when z is divided by 20?
9
Let z = 3881 - 2029. Calculate the remainder when z is divided by 16.
12
Suppose -4*o - 4*c + 64 = 0, -4*c - 7 = -o + 9. Suppose -340 = -2*y + 331*m - 335*m, 3 = -3*m. What is the remainder when y is divided by o?
12
Let n = 129 - 109. Let v = 103 + 64. Let q = -71 + v. Calculate the remainder when q is divided by n.
16
Suppose -4*s = 4*h + 859 - 2303, 4*s = -20. What is the remainder when h is divided by 72?
6
Suppose 5*d - 315 = l, -3*d - l = -286 + 97. Calculate the remainder when 2078 is divided by d.
62
Let p = -4 - -41. Let c(o) = -61*o + 2096. Calculate the remainder when c(33) is divided by p.
9
What is the remainder when ((4 - 2) + (-58)/(-1))*120/16 is divided by 91?
86
Suppose u + 22 - 24 = 0. Suppose -136 = -2*j + 4*i, -u*i + 104 = 2*j - 2. Calculate the remainder when 112 is divided by j.
54
Suppose -94*g + 14*g + 98320 = 0. Calculate the remainder when g is divided by 93.
20
Let o(z) be the third derivative of 7*z**4/6 - 35*z**3/2 - 156*z**2. What is the remainder when 39 is divided by o(5)?
4
Suppose 2*v - 3 + 15 = 0. What is the remainder when (106/v)/(1/(-6)) is divided by (-264)/(-15) - (-8 - 874/(-115))?
16
Let a(h) be the first derivative of h**3 + 3*h**2/2 + 18*h - 64. Calculate the remainder when 86 is divided by a(-3).
14
Let p = 64 + -41. Suppose -4824 = -23*a + 11*a. Calculate the remainder when a/18*3/1 is divided by p.
21
Suppose 4*t = 84 + 48. Suppose 29*c - 25*c + 5*p = 61, 0 = -c + p + 13. Suppose c*z - 17*z + t = 0. Calculate the remainder when 15 is divided by z.
4
Suppose 16*a - 19 - 13 = 0. What is the remainder when (512/20 - a) + 15/(-25) is divided by 5 - 2/(-4)*-2?
3
Let r(t) = -t**2 + 5*t + 2. Let v be r(6). Let l(w) = 4*w**3 - 17*w**2 - 18*w + 9. Let c be l(5). Calculate the remainder when 4 is divided by (v/c - 3/(-9))/1.
0
Let x = 14240 + -14234. What is the remainder when 644 is divided by x?
2
Suppose -5*b + 5*h + 2560 = 0, 14*b + 5*h - 2590 = 9*b. Calculate the remainder when b is divided by 8/6*(-105)/(-10).
11
Suppose -8*x + 2686 = -24866. Calculate the remainder when x is divided by 15.
9
Suppose 10726 + 12147 = 32*s + 6009. Calculate the remainder when s is divided by 519.
8
Suppose 3*b - 175 = -2*r, -560*r = -b - 555*r + 47. Calculate the remainder when 511 is divided by b.
55
What is the remainder when 629 is divided by 1*(-19162)/(-78) - 5/3?
141
Suppose 1665 = 11*h - 282. Let q = h + -162. What is the remainder when 29 is divided by q?
14
Let o = 860 + 422. What is the remainder when o is divided by 422?
16
Let i = -44 + 44. Let b be (-1 - (i + -1))*(-6)/12. Suppose 3*d + 41 = 4*d - x, -5*d + 3*x + 197 = b. What is the remainder when d is divided by 5?
2
Let o = 2169 - 1938. Calculate the remainder when o is divided by 13.
10
Suppose -u + 131 = 4*k, 1683*u - 3*k = 1681*u + 394. Let d(r) = r**3 + 5*r**2 + r - 3. What is the remainder when u is divided by d(-3)?
11
Suppose -299 - 45 = -2*h. Let u = -163 - -188. Calculate the remainder when h is divided by u.
22
Let t(m) = -3*m**2 + 182*m + 223. What is the remainder when t(21) is divided by 72?
58
Let s = 27353 + -22398. What is the remainder when s is divided by 84?
83
Let i be (6/9)/((-2)/(-12)). Suppose 51 = 2*h - 5*z, -i*h = h - 5*z - 105. Let l = 91430 - 91416. What is the remainder when h is divided by l?
4
Let x(q) = -471*q - 1314. Let o(p) = p**2 - 7*p - 16. What is the remainder when x(-4) is divided by o(12)?
42
Let z be (-4)/3*(20 + -26). Suppose -z*q = -918 - 362. Calculate the remainder when q is divided by