- 85 = 15*p. Let k = p + h. Calculate the remainder when 21 is divided by k.
3
Let a(i) = -3 + 4 + 0*i - 26*i. Suppose -3*v - 59 = -4*q, -q + 5*v - 5 + 24 = 0. What is the remainder when a(-1) is divided by q?
13
Suppose 0 = 15*z - 2030 - 595. Calculate the remainder when 365 is divided by z.
15
Let j be (15/6)/((-1)/4). What is the remainder when 38 is divided by (-202)/j + 1/(-5)?
18
Suppose 20 = -5*l + 5*s, -2*l + s = -4*s + 5. Let r(i) = -i + 3. Let n(w) = -w**3 + 3*w + 3. Calculate the remainder when n(-3) is divided by r(l).
5
Let k(g) = 2*g + 10. Let n be k(-5). Suppose -3*p + 7 = -5*w + 32, n = 4*w + 4*p + 12. Calculate the remainder when w is divided by 2.
0
Let a(w) = 485*w**2 + 12*w + 12. Calculate the remainder when a(-1) is divided by 70.
65
Let d = 448 + -388. Calculate the remainder when 237 is divided by d.
57
Let k = -85 + 167. Suppose v - k - 60 = 0. What is the remainder when v is divided by 16?
14
Let h be (-5)/(-15)*6/2. Let q be (16/32)/(h/8). Suppose 49 = 2*v - q*a - 77, 0 = 4*v - 2*a - 246. What is the remainder when v is divided by 31?
30
Let l = -8 + 17. Suppose l = -0*v + 3*v. Suppose 0 = 2*a - 2*t, 2*a + 2*a + v = 5*t. Calculate the remainder when 6 is divided by a.
0
Let h = -27 + 15. Let d = h + 26. What is the remainder when 81 is divided by d?
11
Suppose 2*z = c + 4*z - 187, 0 = 3*c - 2*z - 521. Calculate the remainder when c is divided by 20.
17
Suppose 4*m = -2*b + 154, 4*b - 80 = -m - m. What is the remainder when m is divided by 5?
3
Let u be ((-3)/6)/(1/(-26)). Let h = u - -1. Let f(c) = -36*c - 33. Calculate the remainder when f(-2) is divided by h.
11
What is the remainder when 490/(-15)*(-45)/10 is divided by (1*(-148)/8)/(2/(-4))?
36
Let p(z) = z**2 + 4*z - 4. Let m be p(-5). Let r(y) be the second derivative of 5*y**3/3 - 26*y. What is the remainder when 19 is divided by r(m)?
9
Calculate the remainder when -4*(-3)/(12/37) is divided by 5.
2
Suppose 2*m - 11 = 3*b, m + b + 5 = 2*m. Calculate the remainder when 65 is divided by (m*-1)/4 - (-22 + 3).
11
Calculate the remainder when 1337*9/(315/10) is divided by 64.
62
Let o(f) = -f**2 + 14*f + 22. Let y be o(15). Suppose -y*u + 53 = -6*u. Calculate the remainder when u is divided by 11.
9
Suppose -3*i = -4*l - l - 21, 0 = -3*i + 4*l + 21. Let m(p) = 7*p + 4. Let z = -28 - -56. Calculate the remainder when m(i) is divided by z.
25
Let o(p) = p**2 - 5*p + 9. Let m(s) = 8*s - 4. Let l = -36 + 42. Calculate the remainder when m(l) is divided by o(6).
14
Let g = -26 + 33. Suppose 2*z + g*z = 90. What is the remainder when z is divided by 7?
3
What is the remainder when 141 is divided by ((-4312)/(-84))/((-2)/(-3))?
64
Suppose 2*j - 11 + 21 = 0. What is the remainder when j/((-25)/10) - -42 is divided by 9?
8
Let b be (-2)/(-15)*5*3. Suppose 0 = n - b, 5*n - 138 = 4*p. Let i = 8 - p. Calculate the remainder when i is divided by 9.
4
Suppose z = 5*z + 2*p - 62, 5*p - 12 = z. Let c(q) = q**2 + 40*q + 99. What is the remainder when c(-40) is divided by z?
8
Suppose -502 - 56 = -9*y. Calculate the remainder when 280 is divided by y.
32
Suppose -3*i + 5*a + 35 = 7, -5*i = 5*a - 20. Let f = -3 + i. Suppose v - 19 = -f*q, 2*v - 35 = -8*q + 3*q. Calculate the remainder when 28 is divided by v.
8
Suppose 8*a + 17 + 71 = 0. Calculate the remainder when 11 is divided by (10/5)/(a/(-9) + -1).
2
Calculate the remainder when (-3 - 558/10)*840/(-126) is divided by 40.
32
Suppose 4*v + 4 = 2*n - 0*v, 5*v = -4*n - 31. What is the remainder when 340 is divided by 76/(n + 7 - 1)?
36
Let m(l) = -8*l - 51. Let n be m(-7). Suppose -5*x - 145 = -n*j, 5*j - 5*x + 4*x - 137 = 0. What is the remainder when 79 is divided by j?
25
Suppose 2 = -2*s - 4*g, g + 3 = -s - 3*g. Suppose 0 = c - 2*k - 0 - 10, -2*k + 18 = c. What is the remainder when s + (-18)/12 + 111/2 is divided by c?
13
Suppose -56*k = -40*k - 576. What is the remainder when 284 is divided by k?
32
Calculate the remainder when 92 is divided by ((-12)/(-15) - 0)*(-30)/(-6).
0
Let j = -1281 + 1297. What is the remainder when 210 is divided by j?
2
Suppose -n - 2*h = -24, 5*n + 3*h = 4*h + 65. Suppose 21*y = 24*y. Suppose 0 = -y*b - b + 8. Calculate the remainder when n is divided by b.
6
Let u be (-20)/30*(-3)/(-2). Calculate the remainder when (25/(-2))/(u/2) is divided by 9.
7
Let t = -112 + 117. Calculate the remainder when -4 - (4 - 14)/1 is divided by t.
1
Suppose -5*p = -w - 39, 4*p - 2*w - 36 = -0*p. Let s(m) = 4*m + 11. What is the remainder when s(7) is divided by p?
4
Let u(i) = 2*i**2 - 2*i + 5. Calculate the remainder when 153 is divided by u(6).
23
Suppose 2*y = -4*n + 180, n + y = 3*y + 40. What is the remainder when n is divided by 16?
12
Suppose -3*o + 0 - 10 = 5*u, 4*u = -20. Calculate the remainder when 43 is divided by (-18)/(-90) - ((-49)/o - -1).
7
Let f(w) = 6*w - 1. Let n be f(-1). Let k(c) = -14*c - 3. What is the remainder when k(n) is divided by (8 - 0)*(-5 - -9)?
31
Let j(s) = -s**2 + 3*s + 24. Let f be j(0). Suppose -2 - 17 = -2*i + 3*k, -2*i - 2*k = -f. What is the remainder when 21 is divided by i?
10
Let j = 20 - 5. Let w(m) = -3*m + 5. Let i be w(5). What is the remainder when 70/(-4)*16/i is divided by j?
13
Suppose 25*v = 17*v + 272. What is the remainder when 101 is divided by v?
33
Let p = -608 - -659. What is the remainder when 453 is divided by p?
45
Let x(s) = s + 6. Let m(j) = j**3 - 9*j**2 + j + 57. What is the remainder when m(8) is divided by x(-5)?
0
Suppose 6*c = 164 - 86. Calculate the remainder when 76 is divided by c.
11
Suppose 0 = 3*m - 129 - 108. What is the remainder when m is divided by (-13)/(0 + 2/(-4)) - 3?
10
Let u = -66 + 188. Calculate the remainder when u is divided by 44.
34
Suppose -28*r = -6*r - 1342. Let t = -3 - -5. What is the remainder when r is divided by 16 + (t + -2)/(-2)?
13
What is the remainder when (644/(-10))/(17/((-85)/2)) is divided by 35?
21
Suppose 130 = 5*d + 5*a, 2*a - 4*a = -8. Suppose 0*q - q = -d. What is the remainder when (q/(-55))/(2/(-430)) is divided by 22?
20
Let d(r) = -r**3 - r**2 + r - 2. Let f be d(-2). Suppose -2*w = -f*w - 134. Calculate the remainder when w is divided by 18.
13
Let f = -384 - -390. What is the remainder when (-2)/3 + (-286)/(-6) is divided by f?
5
Suppose 5*n - 11 - 8 = -2*q, -3*n - 59 = -2*q. Calculate the remainder when 85 is divided by q.
19
Let l be (-8)/(-6)*(-2)/((-8)/(-6)). Calculate the remainder when 170/(-15)*(-2 + (-1)/l) is divided by 10.
7
Suppose -l = -2*t - 11 - 42, 4*l = 3*t + 207. Suppose 109 = 5*u - l. Let o = -29994 + 30011. What is the remainder when u is divided by o?
15
Suppose 16 = 4*u, -3 = n - 3*u - 10. Calculate the remainder when 208 is divided by n.
18
Suppose 0 = -18*l + 6589 + 14957. Calculate the remainder when l is divided by 80.
77
Suppose 7*i - 4*i - 57 = 3*v, 3*v = -2*i + 33. Suppose 417 + 113 = 5*j. Calculate the remainder when (j/(-6))/((-21)/63) is divided by i.
17
Let l = -259 + 282. Calculate the remainder when 24 is divided by l.
1
Suppose -3*a = -80 - 22. Suppose 52 = -i + 2*i. Suppose -i - a = -2*o. What is the remainder when o is divided by 23?
20
Let h = -50 - -68. What is the remainder when 106 is divided by h?
16
Let l(w) = w**2 + 2*w - 1. Let m be l(-3). Let z = 29 - m. Calculate the remainder when z is divided by 16.
11
Let n(q) = -q**2. Let l be n(-1). Calculate the remainder when l + 0 - (-3 - 15) is divided by 9.
8
Suppose 10 = -12*c + 550. What is the remainder when c is divided by 27?
18
Calculate the remainder when 501 is divided by ((-1)/3)/((-38)/4104).
33
Suppose g = 75*j - 80*j - 9, -4*g = 3*j - 15. Suppose -5*z = -z - 112. What is the remainder when z is divided by g?
4
Let b = 1369 - 1146. What is the remainder when b is divided by 80?
63
Suppose 25*a + 249 = 3524. What is the remainder when a is divided by 5?
1
Let k(g) = 13*g + 4. Suppose 94*i - 187*i + 64*i + 609 = 0. Calculate the remainder when k(6) is divided by i.
19
Let w(t) = t**2 + 18*t + 38. Calculate the remainder when 35 is divided by w(-17).
14
What is the remainder when 121 is divided by (-8)/(1224/(-5083)) + 2/(-9)?
22
Let n = 2374 + -1654. Calculate the remainder when n is divided by 103.
102
Suppose -87 = -6*i + 93. Calculate the remainder when i is divided by 18.
12
Let r(i) = i**2