1. Calculate the remainder when j is divided by d.
2
Let c = -99 + 157. Suppose -126*u - c = -128*u. What is the remainder when 112 is divided by u?
25
Let b = -60 + 106. Suppose 398*r + 96 = 404*r. What is the remainder when b is divided by r?
14
Suppose 295 = 3*n - 77. Let m = n - 38. Let u = 62 + -18. What is the remainder when m is divided by u?
42
Suppose 9*q - 2*j = 11*q - 102, -2*j - 57 = -q. Calculate the remainder when q is divided by ((-152)/(-16))/(1/2).
15
Let t be (-34335)/(-140)*(1 - 5). What is the remainder when t/(-11) - 10/55 is divided by 23?
20
Suppose o - 4*m = -12, 33*m = 34*m - 4. Suppose -2*b = o*r - 76, 5 = -3*r - 4. Suppose 11 = -n + 26. Calculate the remainder when b is divided by n.
14
Suppose -5*v + 852 = 23*x - 22*x, 5*x = -14*v + 2379. Calculate the remainder when v is divided by 22.
17
Let w = 1804 + -1670. What is the remainder when 770 is divided by w?
100
Let q = -2499 + 3022. What is the remainder when q is divided by 107?
95
Calculate the remainder when 65 is divided by (-480)/(-27) - (-96)/432.
11
Suppose -9906 = -121*z + 201118. What is the remainder when z is divided by 80?
64
Suppose -3*c = -i + 411 + 73, 0 = 5*i - c - 2392. What is the remainder when i is divided by 5?
3
Suppose -9098*r + 4562*r - 18000 = -4546*r. What is the remainder when r is divided by 86?
80
Let b(n) be the first derivative of n**3/3 + 7*n**2 + 52*n - 37. Calculate the remainder when b(-5) is divided by 3.
1
Let k be (507 + 7 + 7)*1. Let v = k - 461. What is the remainder when v is divided by 9?
6
Let b = -82 - 116. Let v = b - -355. Calculate the remainder when v is divided by 53.
51
What is the remainder when 1030 is divided by (756/21)/((-152)/(-114)*18/16)?
22
Let j = -475 - -737. Let v = 363 - j. What is the remainder when v is divided by 30?
11
Let w(s) = 27*s**2 + 12*s + 141. Let y be w(-11). Suppose -83*h + 31*h = -y. What is the remainder when h is divided by 16?
15
Let g(m) = m - 2. Let i be g(-25). What is the remainder when (-6)/i + 676/36 is divided by 13?
6
Let k(v) = 182*v**2 + 10*v + 10. Let x be k(-1). Suppose 3*y = -41 + x. Calculate the remainder when 66 is divided by y.
19
Let c(q) = 11*q + 1118. What is the remainder when 197 is divided by c(-98)?
37
Let f(k) = -4*k - 2. Let b be f(-1). Suppose 9*c = -b*c + 473. Calculate the remainder when -4 + 8 - (-330)/2 is divided by c.
40
Suppose -3543 + 6652 = 8*u - 10667. Calculate the remainder when u is divided by 75.
72
Let t be (-1)/(-4) - (2 + 275/(-20)). Suppose 19*w = t*w + 210. Suppose -h + 2*h - 87 = 0. Calculate the remainder when h is divided by w.
27
Suppose 0 = -22*s - 2*s + 29016. What is the remainder when s is divided by 27?
21
Suppose -3*p + b + 905 = 0, -p = -b - 273 - 30. What is the remainder when p is divided by 256?
45
Let q = -7892 + 8908. What is the remainder when q is divided by 145?
1
Suppose 218*w = 210*w + 14096. What is the remainder when w is divided by 18?
16
Let o = -78 + 109. Suppose 10 = -2*q, -3*q = -7*r + 3*r + o. What is the remainder when 30/((0 + r + -3)*1) is divided by 16?
14
Suppose 302*v - 4125 = 277*v. Calculate the remainder when 989 is divided by v.
164
Let l(p) = p**3 + 4*p**2 - 5*p - 3. Suppose 0*r - 12 = -r. Suppose -2*w - 5*b = 0, -2*w + r = -14*b + 13*b. What is the remainder when l(-4) is divided by w?
2
Suppose 0 + 8 + 32 = 5*n. What is the remainder when 2773 is divided by n?
5
Suppose -2*l + 21*v + 496 = 22*v, 4*v = 2*l - 516. Calculate the remainder when l is divided by 18.
16
Calculate the remainder when 44 is divided by ((-39)/(-2))/13*16/8.
2
Suppose 0*v + 2*l - 33 = -v, -4*v - 3*l = -127. Suppose -3*s - 455 = -2033. Calculate the remainder when s is divided by v.
30
Suppose 4*w = 5*h + 13, 5*h = -25*w + 23*w + 29. What is the remainder when 578 is divided by w?
4
Suppose -5*h + 26 = 3*i, -5*h - 8 = -4*h + 5*i. Suppose 2*s - 31 = 5*o, s = -5*o - h - 0. What is the remainder when 39 is divided by s?
7
Suppose 38*n - 3974 = 3588. Let k = -94 + 104. Calculate the remainder when n is divided by k.
9
Suppose -10*f + 30749 = 30599. What is the remainder when 1413 is divided by f?
3
Let i = -5121 - -5124. What is the remainder when 47 is divided by i?
2
Let k(o) = 25 + 91*o**3 + 31*o + 31*o**2 - 12*o**2 - 90*o**3 - o**2. What is the remainder when k(-16) is divided by 9?
5
Calculate the remainder when 130 is divided by (9 - 138/15)*-85.
11
Suppose -35914*d = -35919*d + 155. Calculate the remainder when 2197 is divided by d.
27
Let v(c) = 14*c**2 - 23*c - 106. What is the remainder when v(-4) is divided by 13?
2
Suppose -3*i = -3*t - 3, -3*t + 0 = 3*i - 33. Suppose 30*l - 25367 + 24197 = 0. Calculate the remainder when l is divided by i.
3
Suppose 2*r = -6, 5*r = -4*m + 33871 - 8698. Calculate the remainder when m is divided by 45.
42
Let t = 169 + -124. Let g = 591 + -583. What is the remainder when t is divided by g?
5
Let i be (-19)/(76/16) + 85 + (0 - 2). Suppose g + 2*g = 0. Suppose -4*z + i + 117 = g. What is the remainder when z is divided by 13?
10
Let r = 909 + -874. What is the remainder when 3145/15 - (-4)/(-6) is divided by r?
34
What is the remainder when (0 - 6)*(-282)/18 is divided by 33?
28
Suppose 0 = 17*x + 11*x - 476. Suppose 31 = 24*j - x. What is the remainder when 7 is divided by j?
1
Let l(p) = p - 3. Let u be l(-3). What is the remainder when (-471)/(-12) - (-2)/(-8) is divided by (8/2)/((-93)/(-15) + u)?
19
Let l = -61 + 148. Let p = -296 - -339. Suppose 0 = 9*o - p - 92. Calculate the remainder when l is divided by o.
12
Let d = -297 + 297. Suppose 5*m - 2*o - 771 = d, 2*m + 4*o = 3*m - 147. What is the remainder when m is divided by 78?
77
Suppose 0 = -2*w + 7*w - 2*j - 695, -w + j = -136. Let i be (-2)/17 + (-2486)/(-34). Suppose -23 - i = -4*p. Calculate the remainder when w is divided by p.
21
Suppose 21*o - 18*o - 12 = -2*i, -3*o + 48 = -2*i. Let s(r) = r**3 - 4*r**2 - 10*r + 7. Calculate the remainder when s(6) is divided by o.
9
Let r = -2001 + 2164. What is the remainder when r is divided by 14?
9
Suppose -2*z - 1450 = -2578. Calculate the remainder when z is divided by 57.
51
Let q(k) = -k**2 - 6*k + 5. Let j be q(-6). Suppose j*u = -25, -10*y + 14*y + 4*u = 180. Calculate the remainder when y is divided by 17.
16
Let v = 1604 + -785. Calculate the remainder when v is divided by 55.
49
Suppose 4*c - 401 - 265 = 2*f, 0 = c + 3*f - 156. Calculate the remainder when c is divided by 57.
51
Let b = 598 + -574. Suppose -2*o + b*o - 1782 = 0. What is the remainder when o is divided by 28?
25
Suppose -55*d + 1995 = -425. Calculate the remainder when 1273 is divided by d.
41
Suppose -22*f - 3*f + 1272 = -13*f. Calculate the remainder when 538 is divided by f.
8
Let w(x) = -51*x**3 - 3*x**2 - x + 1. Let u be w(-1). Suppose 5*v + u = 10*v. Suppose y = v + 16. Calculate the remainder when 49 is divided by y.
23
Let o(y) be the third derivative of -17*y**4/24 - 11*y**3/6 - 6*y**2. Let l be o(-7). Calculate the remainder when 9/(l/8) + (-244)/(-3) is divided by 28.
26
Let t = -257 - -414. What is the remainder when t is divided by (-338)/1690 - 402/(-10)?
37
Suppose -2*s = -2*b + 10, 0 = -0*b + 5*b + 5*s - 25. Suppose 0 = -2*h - 4*a + 70, 10*h + 102 = 13*h + b*a. Calculate the remainder when 110 is divided by h.
23
Suppose 2*c - 3*u + 2*u - 14 = 0, 4 = -u. Suppose c*z - l - 21 = -5, l - 20 = -4*z. What is the remainder when (-2)/4 - 42/(-4) is divided by z?
2
Calculate the remainder when 135 is divided by (-116)/((-1)/(4 - (-105)/(-28))).
19
Let o be (-60150)/105 + 2/(-14) - -4. Let k = -555 - o. Calculate the remainder when 57 is divided by k.
1
Suppose -c + 68 = -5*y + 447, 5*y - 377 = 3*c. Suppose 4*m + 6 = x, x + 6 = 2*x + 2*m. Calculate the remainder when y is divided by x.
4
Suppose -2*m = 3*f - 112, -56 = -2*f - 3*m + 27. Suppose -5*w - 13 = c + 10, 0 = -2*c - 2*w - 6. Let b = 8 + c. Calculate the remainder when f is divided by b.
4
Let w be 4 + -1 - 2 - (-62)/(-1). Let u = w + 58. Calculate the remainder when u/6*2 + (8 - -14) is divided by 6.
3
Suppose -2*x + x + 3 = -5*v, -2*x = -v + 3. Let c be x + 6 - (6/2)/3. Suppose 6*p = 5*p + c, 3*y - 2*p = 3. Calculate the remainder when 6 is divided by y.
0
Let u(t) = 2*t**2 - 7*t - 269. Calculate the remainder when u(-15) is divided by 75.
