106, -2*u = -4*n + 76. Let r be (u/(-15))/(6/1220). Calculate the remainder when 91 is divided by r/16 - (1/(-2) - 0).
29
Suppose -8*l + 429 = 157. Suppose 43*o = l*o + 387. What is the remainder when o is divided by 12?
7
Let l = -1862 + 1888. What is the remainder when 180/(-14)*(-4 + (-4)/6) is divided by l?
8
Let t = -42 + 19. Let j(q) = q**3 + 23*q**2 + 14. What is the remainder when 87 is divided by j(t)?
3
Let x(s) = -s**3 + 30*s**2 + 58*s + 258. Calculate the remainder when 653 is divided by x(32).
59
Suppose -4*p + 5*t = -157 - 30, 3*p - 144 = 3*t. Calculate the remainder when 625 is divided by p.
42
Suppose 0 = i - 1257 + 1258, -4*w = 5*i - 2383. What is the remainder when w is divided by 165?
102
Let k(u) be the second derivative of 5*u**4/12 - 3*u**3/2 - 23*u**2/2 + 38*u. Calculate the remainder when k(-4) is divided by 24.
21
Let s(a) = a**3 - 3*a**2 + a - 32. Let z be s(5). Suppose 2*j + 6 = 0, o + 27*j - 6 = z*j. Calculate the remainder when 41 is divided by o.
5
Suppose 3*s = -5*q + 217, -5*s + 0*s = 30. What is the remainder when 172 is divided by q?
31
Let t(m) = 3*m**2 - m - 9. Calculate the remainder when t(5) is divided by (1*-2)/(52/(-468)).
7
Let z = -750 - -778. Suppose 0 = f - 3, -3*b - 2*b = -3*f - 591. Let l = -68 + b. What is the remainder when l is divided by z?
24
Let k = -2405 + 2797. Calculate the remainder when k is divided by 41.
23
Let d = 338 - 341. Let q(o) = -o**3 + 2*o - 6. Calculate the remainder when 39 is divided by q(d).
9
Suppose -683*p + 12560 = -643*p. What is the remainder when p is divided by 110?
94
Suppose -b - m = -44, -4*b - 2*m + 127 = -5*m. What is the remainder when 2170 is divided by b?
24
Suppose -13*m + 288 = 12*m - 1787. What is the remainder when 622 is divided by m?
41
Let x be -3 + (1 - 4)/(-1*3). Let a be ((-5)/x)/((-2)/(-36)*-3). Calculate the remainder when (-2 + 11)*(-50)/a is divided by 16.
14
Let v = 31 + -27. Let d = 39 - 8. Calculate the remainder when d is divided by (v - 12/4)*17.
14
Let w = -5109 - -5531. What is the remainder when w is divided by 27?
17
Let v(o) = o**3 - 13*o**2 + 14*o + 1. Let j = -2316 + 2330. What is the remainder when v(12) is divided by j?
11
Let y = -12 - -17. Let f = 1 + y. Suppose -o - 36 = -7*o. Calculate the remainder when o is divided by f.
0
Let o = -44 - -57. What is the remainder when 4387 is divided by o?
6
Let n = -15 - -22. Let a(p) = -3*p**2 + 70*p - 5. Let z(u) = -u**2 + 4*u + 1. Let q(m) = -a(m) + 4*z(m). What is the remainder when q(-53) is divided by n?
6
Suppose 7 = 5*r + 2*p - 10, -r = p - 1. Suppose -9*y + r*y - 3*a + 2019 = 0, -2515 = -5*y - 2*a. What is the remainder when y is divided by 36?
33
Suppose d - 235 + 420 = q, 8*q - 1504 = 4*d. What is the remainder when 1349 is divided by q?
12
Calculate the remainder when 945 is divided by (-135)/20*(-264)/99.
9
Suppose 11*a + 70 = -40. Let x be 10*((-135)/a)/(-9). Calculate the remainder when 63 is divided by -22*(1 + x/10).
8
Suppose -v + 4182 = 2*s, -2*v = 5*s - 3673 - 4691. Calculate the remainder when v is divided by 27.
24
Let q(r) = -4*r - 9. Let a be q(1). Let l = 19 + a. Calculate the remainder when l is divided by 4.
2
Let v(d) = -d**2 + 2*d + 3. Let a be v(19). Let k = 340 + a. Calculate the remainder when 135 is divided by k.
15
Let b(s) = -19*s + 179. Let i(f) = -f**3 + 4*f**2 + 3*f - 5. Let w be i(4). Suppose -w*r + 57 = -4*r. Calculate the remainder when r is divided by b(9).
3
Suppose 0 = 107*m - 103*m + 1132. Let j = m + 383. Calculate the remainder when j is divided by 23.
8
Let f(g) = -1047*g**3 - 14*g**2 - 4*g - 14. What is the remainder when f(-2) is divided by 126?
124
What is the remainder when (-4 - 41)/((-1404)/(-120) + -12) is divided by 97?
53
Calculate the remainder when (-147730)/(-170) - (2 + 3) is divided by 138.
36
Let a = -132 + 117. Let p(x) = -14*x**2 - 211*x + 18. Let s = 34 - 22. Calculate the remainder when p(a) is divided by s.
9
Suppose 0 = 59*v - 56*v - 5*s - 56, -4*v - 4*s = -64. Calculate the remainder when 1716 is divided by v.
16
Let w(b) = 3*b**2 - b. Suppose 0 = -8*y + 6*y + 2. Let t be w(y). Calculate the remainder when 21/(-3)*(-9)/6*t is divided by 8.
5
Let l = 48 - -164. Calculate the remainder when (65/26)/((-2)/l*-1) is divided by 67.
64
Let v = 1 + 16. Let n be 810/90*((-8)/3 + 2). What is the remainder when 1*(-2 - n) - -63 is divided by v?
16
Suppose -b = -3*c + 101, -c = -3426*b + 3424*b - 42. Let g = 161 + 62. What is the remainder when g is divided by c?
31
Suppose 4*m + 3*b = 19, -m = -0*m + 5*b - 9. Let g be 775 - (m + -7 - -3). Calculate the remainder when 58 is divided by 1/(5*5/g).
27
Suppose 0 = -4*n - 16, -7*p = -5*p + 4*n + 2702. Let v = 1881 + p. Calculate the remainder when v is divided by 45.
43
Suppose 0 = -26*c + 14*c + 13*c. Suppose -90*f + 83*f + 294 = c. What is the remainder when 205 is divided by f?
37
Calculate the remainder when 3603/13 - (4 + (-950)/247) is divided by 6.
1
Let w(h) = -11*h + 20. Suppose -3*y = -21 + 15. Suppose -y*s + 10 = 0, a - 139 = -3*a - 3*s. Calculate the remainder when w(-15) is divided by a.
30
Suppose 20*v - 2*t - 4282 = 16*v, v = -3*t + 1095. What is the remainder when v is divided by 24?
18
Suppose 78*k = 248*k - 20400. Calculate the remainder when 596 is divided by k.
116
Suppose -11*f = -500 + 148. Let h(z) be the third derivative of 2*z**5/15 - z**4/8 - 5*z**2. What is the remainder when f is divided by h(-1)?
10
Suppose -18*a = -16*a - 5*j - 40, 5*a = 4*j + 117. What is the remainder when 1047 is divided by a?
22
Let g = 2027 + -2020. Calculate the remainder when 191 is divided by g.
2
Suppose 846 = 32*w - 41*w. Let r = w - -115. Calculate the remainder when r is divided by 8.
5
Let y = 106 + -108. Let s be ((-124)/8 - -3)*y/5. Calculate the remainder when (3 + (-38)/(-4))*8/s is divided by 12.
8
Let n(q) = 4*q**2 - 59*q + 32. Suppose 0*a - 4*w - 45 = -3*a, -3*a - 4*w = -45. Calculate the remainder when n(a) is divided by 39.
8
Let w be 49/(-6) + 5/30. What is the remainder when (2 + w)/((-20)/270) is divided by (-35)/1*(-3)/5?
18
Suppose -a = 4*a - 1140. Suppose -23*d + 9628 = 8455. What is the remainder when d is divided by a/18 + 1/3?
12
Suppose -2*k = 10, -23*k + 28*k - 807 = -13*h. Suppose -2*d + 0*d + 68 = 0. Calculate the remainder when h is divided by d.
30
Let i = -68 - -67. Let f be i + -1*(-3 + 1)/2. Suppose -4*d + 16 = f, 0 = -2*b - 3*d - 0*d + 52. What is the remainder when 52 is divided by b?
12
Suppose 39 = 7*b - 66. Suppose 221 = b*u - 2*u. Suppose k = t - 101, 314 = 5*t - 4*k - 189. Calculate the remainder when t is divided by u.
14
Suppose 103*d - 90*d - 1806 + 623 = 0. Calculate the remainder when d is divided by 60.
31
Suppose 0 = 3745*a - 263749 - 2312811. Suppose 2*h - 92 = 14. Calculate the remainder when a is divided by h.
52
Let i be (-9)/2*(-1)/(-6)*-8. Let b(d) = 16*d + 2. Suppose 4*z + 0*z - 4 = 0, 130 = 4*l - 2*z. What is the remainder when b(i) is divided by l?
32
Suppose 3*w - 6*w = -117. Suppose -h = 4*z - 25, 4*z + h - 4*h - 5 = 0. Suppose z*j - 517 = -467. Calculate the remainder when w is divided by j.
9
Suppose 3*t - 484 - 8 = 0. Suppose 0 = 16*v - 76 - t. Calculate the remainder when 52 is divided by v.
7
Let n(b) = -299*b + 2221. Calculate the remainder when n(6) is divided by 74.
57
Suppose -4*a - 16 = 0, 3*m - 2*a - 21 = 8. What is the remainder when 4 + (-40)/5 + (39 - -19) is divided by m?
5
Calculate the remainder when ((-43732)/(-429) - -1) + 8/132 is divided by 13.
12
Suppose 0 = 50*z - 43*z - 38*z + 112344. What is the remainder when z is divided by 98?
96
Let w = 183 - 100. Let x = w - 52. Calculate the remainder when 75 is divided by x.
13
Suppose 0 = f - 3*f + 10. Suppose 0 = 2*m + 1 - 13. Suppose m*d - f*d = 25. What is the remainder when 73 is divided by d?
23
Let q = 166 - 163. Suppose -9 = -n - 2*w - 0*w, -q*w - 36 = -4*n. What is the remainder when 61 is divided by n?
7
Let n(f) = 141*f + 16630. What is the remainder when 2495 is divided by n(-115)?
5
Suppose -4*b + 303 = 75. Suppose 1654 = -5*m - 3*r + 2589, 5*m - 930 = -2*r. What is the remainder when m is divided by b?
13
Let l = 945 + -556. Let i = -362 + l. What is the remainder when 322 is divided by i?
25
Let j = -8371 + 8430. Calculate the remainder when 1