2.
29
Let s(j) = -j**3 + 8*j**2 - 2*j - 10. Let n = -339 + 349. What is the remainder when s(5) is divided by n?
5
Suppose -4*n = -3*i + 345, 26*i - 399 = 23*i - 5*n. What is the remainder when 979 is divided by i?
118
Let f(l) = 145*l - 868. Calculate the remainder when f(8) is divided by 20.
12
Let p(r) = -r + 2. Let j be p(2). Suppose 11*b = -j*b + 187. What is the remainder when b is divided by -9*((-35)/42 + (-1)/6)?
8
Let b(p) = -9*p**3 - 11*p**2 - 23*p + 4. Let a(z) = 2*z**2 + 13*z + 14. What is the remainder when b(-2) is divided by a(-7)?
15
Suppose -22*x + 24745 = 79*x. What is the remainder when x is divided by 90?
65
Suppose -h + 21 = -0*h. Let f(z) = 22*z**2 + 225*z + 59. Calculate the remainder when h is divided by f(-10).
3
Let y(q) = -q**3 + 51*q**2 - 6*q + 408. What is the remainder when y(51) is divided by 103/5 + (-8)/(-20)?
18
Let x = 163 + -111. Suppose 2*k = 5 + 3. Suppose -2*j - 12 = -r, -j + 4*j + 63 = k*r. What is the remainder when x is divided by r?
16
Suppose -1 + 0 = l, 3*c - 2*l - 8 = 0. Suppose 2*g = -3*q + 116, c*g = -2*g + 2*q + 216. What is the remainder when 382 is divided by g?
52
Let o(u) = 5*u**2 + 41*u - 234. Calculate the remainder when o(5) is divided by 48.
0
Let v(d) = 325*d**2 - 112*d - 113. What is the remainder when v(-1) is divided by 120?
84
Let i = 2568 - 1497. What is the remainder when i is divided by 29?
27
Suppose -14*u + 47 = 5. Let b = -11 - -5. What is the remainder when 9 is divided by (0 - u) + (-66)/b?
1
Suppose 2*u + m - 215 = 0, 69*u - 500 = 64*u + 5*m. What is the remainder when u is divided by 42?
21
Suppose -125*i - 279725 + 696350 = 0. What is the remainder when i is divided by 29?
27
Let n(b) = b**3 - 4*b**2 - 6*b - 1. Let y be n(5). Calculate the remainder when (-22)/5*5*y/12 is divided by ((-7)/2)/(1/(-2)).
4
Let z(g) = 85*g**3. Suppose 6 - 2 = 4*m. Let q = -932 + 950. What is the remainder when z(m) is divided by q?
13
Let v be (-6)/((-96)/296) - (-2)/4. Suppose 96 - v = 7*r. What is the remainder when 76 is divided by r?
10
Let t = 20333 + -19451. What is the remainder when t is divided by 114?
84
Calculate the remainder when 3033 is divided by (80/(-25) - -3) + 1383*(-2)/(-30).
89
Let h(n) = -2*n - 27. Suppose 4*i = -5*p - 72, 3*p + 7*i + 51 = 2*i. Let r be h(p). What is the remainder when (-3 + 205/(-15))*r is divided by 18?
14
Suppose 5361 - 609 = 48*o. What is the remainder when 132 is divided by o?
33
Let j(l) = 73*l + 993. What is the remainder when j(-4) is divided by 42?
29
Let d(u) = -2*u**3 - 170*u**2 + 345*u + 338. What is the remainder when d(-87) is divided by 170?
89
Let b = 2189 + -782. Calculate the remainder when b is divided by 32.
31
Let j = -10267 - -10276. What is the remainder when 3209 is divided by j?
5
Let u(q) = -53*q + 4. Calculate the remainder when u(-3) is divided by (116/5)/((-81)/(-15) - 5).
47
Let b(i) = 8*i**2 + 73*i + 6. Let v be b(-9). Suppose 3*u + 2*u - 155 = 0. Calculate the remainder when 24*(70/8 - (8 + v)) is divided by u.
28
Suppose 89 = -3*q + 353. Let a = q + -47. Calculate the remainder when a is divided by 12.
5
Let a = -44 + 47. What is the remainder when 17 is divided by a?
2
Suppose 40*l = 6183 + 36737. Calculate the remainder when l is divided by 1059.
14
Suppose 136 = 2*d + 2*l, 3*d - 5*l = 2*d + 98. Let p = 8263 - 7901. What is the remainder when p is divided by d?
70
Let m(k) = 4*k**2 + 22*k + 59. Calculate the remainder when 811 is divided by m(-3).
28
Suppose -191 = 17*f - 480. Let z = 15 - 10. Let n = z - -44. Calculate the remainder when n is divided by f.
15
Let y(z) = -5*z**2 + 140*z + 294. Calculate the remainder when 211 is divided by y(29).
62
Let y(u) = 144*u + 386. Calculate the remainder when y(-1) is divided by 83.
76
Let u(f) = 12*f + 36. Let c be u(-5). Suppose -7*d = -303 - 999. Let x = c + d. What is the remainder when x is divided by 41?
39
Let q be ((-14)/(-28))/((-1)/2). Calculate the remainder when 73 is divided by 4*(q + 46/8).
16
Let y be (-20 - -2)/((-14)/2975). Let a(n) = 1 - n**3 - y*n**2 + 6*n - 8 + 3823*n**2. Calculate the remainder when 226 is divided by a(-5).
36
Let v be (2/(4 - 8) + 0)*-222. Suppose v + 9 = -3*s. Let z = 84 + s. Calculate the remainder when z is divided by 8.
4
Let k(x) = 2*x + 6. Let q be k(-6). Let j be q/(-12) - (-6)/4. Suppose 0 = j*t - 2*i - 188, -4*t - 3*i + 344 = i. What is the remainder when t is divided by 47?
43
Suppose 20*b = 22*b - 2852. Suppose 21*f = -2*f + b. What is the remainder when 308 is divided by f?
60
Let x = 127 - 94. Suppose 2628 = 7*k + 129. What is the remainder when k is divided by x?
27
Let u = 1450 + -30. Suppose -5*m - 62 + 772 = 2*h, 4*m = 4*h - u. What is the remainder when (1*(-2 + 3))/(5/h) is divided by 12?
11
Suppose 2221 - 9550 = -21*i. Calculate the remainder when 3483 is divided by i.
342
Let g = -19 + 7. Suppose 265 = -11*f + 67. Calculate the remainder when 3/f + (-2 - 926/g) is divided by 13.
10
Suppose 4*g + g = 120. Calculate the remainder when (20710/(-1199))/((-24)/132) is divided by g.
23
Let q = -5129 + 5172. What is the remainder when 943 is divided by q?
40
Let g(d) = -12*d + 389. What is the remainder when g(-6) is divided by 39?
32
Calculate the remainder when (-4)/(-30) - (7/2)/((-1980)/329736) is divided by 44.
11
Let q(v) = 15*v + 33. Suppose -4*a + 25 = -7. Calculate the remainder when q(a) is divided by 22.
21
Let g(s) = s**2 + 22*s - 36. Let f be g(-24). Suppose -3*n - 129 = -7*a + 2*a, 0 = -a - 4*n + f. Calculate the remainder when 189 is divided by a.
21
Suppose 3*g = 3*f - 63, -2*f + g + 22 = -23. Let v be (-1*(-2)/(-2))/((-16)/(-144)). What is the remainder when f is divided by ((-12)/3 - 0)/(-1) - v?
11
Let r = 2843 + -2841. Calculate the remainder when 131 is divided by r.
1
Suppose -69*f + 203153 + 337738 = 0. Calculate the remainder when f is divided by 140.
139
Calculate the remainder when 75325/225 + 9 - (14/18 + -1) is divided by 16.
8
Let p(k) = 11*k + 62. Suppose -7 = l + 3*h, -11*l = -15*l - 4*h - 20. Calculate the remainder when (2 + -3)/(2/(-102)) is divided by p(l).
15
Let w = -17 - -21. Suppose s = -9*s + 140. Calculate the remainder when s is divided by (-14 - -17)/(-2*(-2)/w).
2
What is the remainder when (-3 - (-2807)/49)/(34/119) is divided by 42?
22
Suppose 5*m - 35 = 3*r, -m + 55 = 4*m + r. Let v = -90478 + 90697. What is the remainder when v is divided by m?
9
Let x be (2/(-8))/((-9)/(-288)*-4). Suppose -x*g + 351 = g. Let d = g + -61. What is the remainder when d is divided by 5?
1
Suppose 5*q + 10659 = 24*q. Let f = q - 547. Let m(s) = -19*s + 1. What is the remainder when m(-5) is divided by f?
12
Let o be ((10 + -4)/(-6))/(2/(-46)). Let x(n) = 34*n - o - 42*n + 21*n. Calculate the remainder when x(5) is divided by 15.
12
Let b(w) = -w**3 - 7*w**2 - 11*w - 27. Suppose -18 = 3*s + 3. Let c be b(s). Let j = 191 - c. What is the remainder when j is divided by 48?
45
Suppose -7*s - 121 + 317 = 0. What is the remainder when 220 is divided by s?
24
Suppose 5*c - 206 = 484. Let v = -67 + c. Suppose 5*u - 2*m - 119 = 0, 3*u - 77*m - 69 = -75*m. What is the remainder when v is divided by u?
21
Suppose 0 = 2*s + 2, n = -2*s - 0 + 22. Let c be (-28 - -3)*54/(-6). Suppose 220*f + 595 = c*f. Calculate the remainder when f is divided by n.
23
Let u(c) = 46 - 33 - 26 - 10*c. Suppose 3*h - 4 = -22. Calculate the remainder when u(h) is divided by 25.
22
Suppose -1783 = 13*l + 5809. Calculate the remainder when 145 is divided by l/(-64) - 9 - (-1725)/24.
1
Let k = -147 + 151. Suppose -307 = -5*v - 4*q, -k*v + 248 = -8*q + 10*q. What is the remainder when v is divided by 34?
29
Let u = 260 + -46. Let n(h) = -h + 29. What is the remainder when u is divided by n(-7)?
34
Let n be (-3 + 31/(-3))/(1/(-3)). Suppose -5*j + n = -5*l, j = 6*j - 4*l - 37. Calculate the remainder when 12 is divided by j.
2
Let r(z) = 2*z**3 + 51*z**2 + 26*z + 51. Let p = -182 + 157. Suppose 85 = m + 4*m. Calculate the remainder when r(p) is divided by m.
9
Calculate the remainder when (1*131)/(845/57460) is divided by 110.
108
Suppose 19*a + 70 = 24*a. What is the remainder when (-4)/a + -1 + 1408/28 is divided by 2/(-3) - 106/(-6)?
15
Let l = -3003 + 3013. Suppose 4*v = -3*i + 118, 6*i - 3*i = 5*v + 109. What is the remainder wh