18) - 8/(-36)). Suppose 0*a + a = 5*j + 57, -5*a + 343 = d*j. What is the remainder when a is divided by r?
16
Suppose 321*f - 5964 = 250*f. What is the remainder when 254 is divided by f?
2
Suppose 2024 - 79 = 5*s + 5*x, -s - 3*x = -387. Suppose s + 1116 = 3*q. Calculate the remainder when q is divided by 36.
34
Let s(x) be the first derivative of -x**4/4 - 2*x**3 + x**2 + 31. Let w be s(-6). Let k = w + 21. What is the remainder when 61 is divided by k?
7
Let u = -2497 + 2530. Calculate the remainder when 148 is divided by u.
16
Suppose -5*r + 487 = 4*g, 2*g = 6*g + 4*r - 492. Suppose 0 = -4*c - g + 424. What is the remainder when c is divided by (3/(-21)*14/4)/(1/(-38))?
17
Let l(b) = b**3 + 11*b**2 - 12*b + 8. Let z be (-1 - (-2 - 2))*-4. Let k = 720 + -697. What is the remainder when k is divided by l(z)?
7
Suppose -5*l + t = -8483, 3*l + 6*t - 7*t - 5089 = 0. Calculate the remainder when l is divided by 13.
7
Suppose 0 = -4*c + 5*v + 765, 2*c + 25*v - 30*v - 385 = 0. What is the remainder when 369 is divided by c?
179
Let u(t) = -23*t - 91. Let f be u(-19). Let w = 369 - f. Let o = 34 + 4. Calculate the remainder when o is divided by w.
15
Suppose -10*c - 1233 + 2093 = 0. Calculate the remainder when 10661 is divided by c.
83
Suppose 2 = -w - 0*t - 5*t, -2*w - 3*t = -3. Suppose x + w*r - 357 = 0, -4*x = -0*x + 5*r - 1435. What is the remainder when x is divided by 26?
22
Suppose 5*a + 7 = -4*b, 2*b + 0*b + 7 = a. Calculate the remainder when 30 is divided by (-15)/(-20) + -49*b/12.
4
Let m(k) = 12*k**2 + 2*k - 1. Let w be m(1). Suppose -s + w - 3 = 0. Let y = 228845 - 228817. Calculate the remainder when y is divided by s.
8
Suppose 1583*a = 1536*a + 219 + 674. Suppose -2*n = 3*z + 2, 3*z + 1 = z - n. Let w(i) = -i + 56. Calculate the remainder when w(z) is divided by a.
18
Let v(h) = h**2 + h - 91. Let y be 2961/(-235) - (-4)/(-10). What is the remainder when v(y) is divided by 15?
5
Suppose 4*n = -g + 14 - 1, -3 = -3*g. What is the remainder when (-4)/((-2)/6*(-348)/(-551)) is divided by n?
1
Suppose 5*q - 4*f - 681 = 0, 9*q + 5*f + 153 = 10*q. Calculate the remainder when q is divided by 17.
14
Calculate the remainder when 3325 is divided by 33 + -22 + 24 + -6.
19
Let a = -7 + 18. Let h = 2031 - 2027. What is the remainder when a is divided by h?
3
What is the remainder when 1814 is divided by 55 - (-19 - (-21 + -11))?
8
Suppose -7*s = -3*s + 104. Let v = -22 - s. What is the remainder when (1/(-1))/(-1) + 8 is divided by v?
1
Let t(i) = 4*i - 152. Let m be t(19). Calculate the remainder when ((-354)/8)/(57/m) is divided by ((-2)/(-1))/((-2)/(-20)).
19
Suppose -25 = -0*o - 5*o. Suppose 57 + 48 = o*w. Suppose 54*z = 69*z - 525. Calculate the remainder when z is divided by w.
14
Let i = 58 - 78. Let v = 25 + i. Suppose -4*p = 5*c - 352, 95 + 51 = 2*p - v*c. Calculate the remainder when p is divided by 17.
15
What is the remainder when 48 is divided by 3 - (-4*(-2 + 3))/((-14)/(-21))?
3
Suppose 20 = 4*y - 3*y. Calculate the remainder when 153/(-6)*18/(-9) is divided by y.
11
Let s = -2182 - -2186. Calculate the remainder when 37 is divided by s.
1
Let d be 10/3 + 3*(-4)/36. Let l = -13 + d. What is the remainder when 53 is divided by 285/l*(-4)/6?
15
Let n = 3944 + -3904. What is the remainder when 223 is divided by n?
23
What is the remainder when (11/(132/40))/(10348/(-10356) - -1) is divided by 83?
82
Let f(r) = 2*r**2 + 5*r + 3. Let a be f(-1). Suppose 14*l - 12*l - 620 = a. Calculate the remainder when l is divided by 52.
50
Let c(m) = 84*m**3 + 2*m**2 + m + 1. Suppose 4*j = 1 - 5. Let n be c(j). Let f = -57 - n. Calculate the remainder when 74 is divided by f.
24
Suppose -2*o - 5 = 3*o. Let m(x) = x**3 + 9*x**2 + 9*x - 35. Calculate the remainder when (111/6)/(o/(-2)) is divided by m(-6).
18
Suppose 120*o + 40*o + 117*o - 5263 = 0. Let s(c) = -c**3 - 4*c**2 + 2. What is the remainder when o is divided by s(-4)?
1
Let c(l) = 46*l**2 - 256*l + 1305. What is the remainder when c(5) is divided by 24?
23
Suppose 28*i - 2671 = -127 - 136. What is the remainder when i is divided by 6/(-10) - 226/(-10)?
20
Let a = 63 + -35. Suppose 2*z = -2*u + a, -4*z = -3*u - 13 - 64. Let w(l) = -522*l - 4668. Calculate the remainder when w(-9) is divided by z.
13
Let k(v) = v**3 - 45*v**2 + 229*v + 227. Calculate the remainder when 1238 is divided by k(39).
22
Let p = -253 - -258. Suppose 5*b - 7*b + p*l + 29 = 0, 3*b = -4*l - 14. Calculate the remainder when 13 is divided by b.
1
Let t = 209 + -77. Let v = 65 + -53. Calculate the remainder when t is divided by 1 + v - (-26 + 24).
12
Let l = 323 - 181. Suppose -2*f - 3*a = -94, 0 = -4*f - a + 36 + l. Calculate the remainder when f is divided by 14.
2
Let r(g) = 50*g**2 + 17*g + 14. Calculate the remainder when r(-1) is divided by 40.
7
Suppose -12*l + 18 + 78 = 0. Suppose -k + 79 + l = 0. What is the remainder when k is divided by 22?
21
Let a = 11593 - 11222. What is the remainder when a is divided by 365?
6
Suppose p - 4*m = 584 - 219, -3*p - 2*m + 1109 = 0. Calculate the remainder when p is divided by 7.
5
Suppose 2*i - 6*i + 1360 = 0. Let u = 4708 + -4702. Calculate the remainder when (u/15)/(344/i - 1) is divided by 12.
10
Let u = 403 + -184. Suppose 4*w - 73 - u = 0. What is the remainder when w is divided by 25?
23
Let q(j) = -j**3 + 22*j**2 - 18*j - 91. Let s be q(21). Let l(x) = x**3 + 27*x**2 - 39*x + 11. Calculate the remainder when l(s) is divided by 7.
4
Let r(m) = -m**2 - 16*m + 5. Let l be 2/(-2) - 2 - 65/5. Let k be r(l). Let n(h) = -h**2 + 11*h + 1. Calculate the remainder when n(k) is divided by 16.
15
Let h = 6196 + -6171. What is the remainder when 469 is divided by h?
19
Suppose 5*j + 0*v - 4*v = 76, j = -3*v. Suppose 0 = -j*l + 21*l + 621. Let p = 81 + l. What is the remainder when 45 is divided by p?
9
Suppose 159 = 3*v + 3*l, 4*v + 17*l - 20*l - 254 = 0. Let w = -88 - -247. Calculate the remainder when w is divided by v.
41
Suppose 17*p - 12 = 14*p, 0 = 10*t + p - 184. Calculate the remainder when 1537 is divided by t.
7
Let l = 3 - -34. Suppose 0 = 7*t - 12 - l. What is the remainder when (-30 + 0)*(-3)/9 is divided by t?
3
Suppose 17*i + 12*i = -16*i + 387720. What is the remainder when i is divided by 51?
48
Let j be 44/154 + (-880)/(-7). Suppose -4*x = -x - j. Let v = 11 + 12. What is the remainder when x is divided by v?
19
Let c be 2/(-25) + (-94440)/750. Let i = c + 160. What is the remainder when i is divided by 4?
2
Let l be (-2)/(-2) - (-3 + -1). Let r = l - -53. What is the remainder when 231 is divided by r?
57
Let o(s) = 12*s**3 + 4*s**2 - 3. Let u(y) = -y**3 - y**2 + 1. Let i(k) = o(k) + 3*u(k). Let b = -5613 - -5649. What is the remainder when b is divided by i(1)?
6
Let s = -6559 - -6848. Calculate the remainder when s is divided by 14.
9
Suppose 37 = 5*w - 4*s, -2*s = 3*s + 15. Suppose r + 3*m - 34 = 0, 0 = -3*r + w*r + 4*m - 64. What is the remainder when (-10)/((1 - 0)/(-25)) is divided by r?
26
Let p(n) = -n**3 - 11*n**2 + 10*n + 11. Suppose 4*h + 0*h = 5*i - 28, 0 = 3*h + i + 40. Calculate the remainder when 100 is divided by p(h).
30
Suppose 3567 = 151*a - 53*a - 19953. What is the remainder when a is divided by 236?
4
Suppose 75*b + 49*b - 7290 = 34*b. Calculate the remainder when 214 is divided by b.
52
Suppose -8 = 26*c - 1698. Calculate the remainder when c is divided by 8.
1
Suppose -3*k - 25 = 4*y, k = y - 4*k - 11. What is the remainder when 9/y*(-272)/6 is divided by 20 + (-5)/(-15)*3?
18
Suppose 7*m + 471 = 1612. Calculate the remainder when 961 is divided by m.
146
Suppose -3*c - s = -149, 313 = 4*c - 5*s + 127. What is the remainder when 82 is divided by c?
33
Let j(q) = -q**3 + 6*q**2 + 78*q + 119. Calculate the remainder when 434 is divided by j(-7).
14
Let i(z) = z**2 - 47*z + 229. Let b(l) = -l**3 - 12*l**2 - 22*l + 17. Calculate the remainder when b(-10) is divided by i(42).
18
Let g(p) = 9*p**2 - 26*p + 121. What is the remainder when g(15) is divided by 10?
6
Let w be (9 - 690/78) + 1948/13. Suppose 20*x = -5*x + w. Calculate the remainder when 37 is divided by x.
1
Suppose 190 = 3*l - 5*m, -3*m - 16 = -10. Suppose -l = 115*w - 118*w. What is the remainder when 117 is divided by w?
17
Let p be 82*6/(-12) - (2 - -1). Let v = -16 - p. Ca