 s = 194 - 199. Let a(k) = -8*k - 2. Calculate the remainder when a(s) is divided by 14.
10
Suppose 3619 = 65*c - 15166. Calculate the remainder when 710 is divided by c.
132
Let l(g) = -g + 4. Suppose c + 4*c + 40 = 5*n, 3*c + 9 = 0. Suppose p - n = z, -3*z - 3*p = -8*p + 11. What is the remainder when 20 is divided by l(z)?
9
Suppose -40*y + 43*y = 165. Let g be 1/2 - y/22. What is the remainder when g/((-2)/(-78)*-3) is divided by 9?
8
Suppose -o + 253 = -331. Suppose -232 - o = -8*d. Let c = -20 + d. Calculate the remainder when c is divided by 17.
14
Let l = -32 - -36. Suppose 7*q - l*h - 60 = 2*q, -4*q + 37 = -h. Suppose q*f + 32 = 9*f. Calculate the remainder when 191 is divided by f.
31
Suppose h = -3*c + 8, -2*c - 11*h = -6*h + 12. Suppose 0 = -0*k - c*k + 640. What is the remainder when k is divided by 18?
16
Suppose -2545*i + 2996 - 96 = -2487*i. What is the remainder when -947*1/(-1 - 0) is divided by i?
47
Let d(y) = 25*y**2 - 2*y + 34. What is the remainder when d(-4) is divided by 132?
46
Let r(a) = a**3 - 8*a**2 + 11*a - 4. Suppose 0 = -24*u + 25*u - 90. Let y = u - 57. Calculate the remainder when y is divided by r(7).
9
Suppose -4*r = j - 56, -3*r - 159 = -3*j - 6*r. Suppose -4*c - 16 = -2*t, 4*t - 10 = -t. What is the remainder when j is divided by c/(-7) + 528/42 + 5?
16
Let b(o) = -o**3 + 14*o**2 - 20*o - 16. Let x = -347 - -357. Calculate the remainder when b(x) is divided by 37.
36
What is the remainder when ((-10)/120*4)/(3/(-8433)) is divided by 4?
1
Suppose -31*u - 3*w = -34*u + 9, 0 = 2*u - w - 8. Suppose -u*b + 2472 = 687. What is the remainder when b is divided by 60?
57
Let h = -111 + 115. Suppose -5*n = h*x - 54 - 46, -3*n + 60 = -4*x. Calculate the remainder when n is divided by 11.
9
Suppose 4*r + 1903 = 5*q + 5404, -q - 877 = -r. What is the remainder when r is divided by 50?
34
Calculate the remainder when 10196 is divided by (984/(-287))/(1/(-7)).
20
Let a(f) be the first derivative of 41*f**2/2 - 117*f - 71. Calculate the remainder when a(11) is divided by 21.
19
Let f(b) = -b**3 + 3*b**2 + 7*b - 10. Let z be f(4). Suppose -3*r - 15 = 0, z*x + 12 = 5*r + 67. Calculate the remainder when (-6)/4 - 621/(-6) is divided by x.
12
Let v(p) = -36*p**2 + 1585*p - 8. Calculate the remainder when 1157 is divided by v(44).
5
Let j = 39 + -69. Let l be (j/45)/((-2)/39). Suppose -8*k = -l*k + 415. Calculate the remainder when k is divided by 28.
27
Let k(x) = x**3 + 17*x**2 - 76*x + 21. Calculate the remainder when 6306 is divided by k(4).
52
Let n = -632 - -752. Calculate the remainder when n is divided by 35.
15
Suppose -y - 2*y + 72 = 0. Suppose t - 5*f - 96 = -2*t, 4*t - 128 = f. Calculate the remainder when t is divided by y.
8
Let x(p) = -144*p - 19. What is the remainder when x(-6) is divided by 18?
17
Let w(q) = q**3 + 13*q**2 + 6*q - 7. What is the remainder when 1/(3/(-8)) - (-7791)/63 is divided by w(-12)?
56
Let t = -10891 - -10939. Calculate the remainder when 864 is divided by t.
0
Let i(x) = -x**3 - 16*x**2 - 38*x - 108. What is the remainder when 1919 is divided by i(-14)?
31
Let z(w) = 12*w**2 + 4*w + 4. Suppose -n + 2*j + 2*j + 18 = 0, -5*n - 15 = j. Calculate the remainder when z(n) is divided by 15.
14
Let s(c) = 19*c - 3. Let k(u) = 57*u - 9. Let f(d) = -2*k(d) + 7*s(d). Suppose -69*n + 2907 = 120*n - 36*n. What is the remainder when f(3) is divided by n?
16
Let s = 148 + -145. Suppose -2*c - s*q + 395 - 113 = 0, 3*c - 2*q - 410 = 0. Calculate the remainder when c is divided by 35.
33
Suppose 29*x = 22*x + 98. Suppose -v = -2*p - x, 0 = -5*v - 15*p + 11*p + 112. Calculate the remainder when v is divided by 5.
0
Suppose -4*h - g + 75 = -15, -10 = 5*g. Calculate the remainder when 87 is divided by h*(-6)/(-4)*(-14)/(-21).
18
Let a(r) = -r + 13. Suppose v + 7 = -0*v. Let j be a(v). Calculate the remainder when (-350)/j*(-64)/10 is divided by 23.
20
Let w(n) be the first derivative of -n**4/4 + 6*n**3 + 11*n - 28. Calculate the remainder when 38 is divided by w(18).
5
Let q = -82 - -202. Let l = 102 - 44. Let v = l - 27. What is the remainder when q is divided by v?
27
Let v(s) = -2*s**2 - 12*s + 1. Let b be v(-9). Let a = 53 + b. Suppose a = 5*i - 10*i + 195. What is the remainder when i is divided by 14?
11
Suppose 0*a + 5*p + 76 = -4*a, -2*p - 50 = 3*a. Let l be (21/(-14))/((-3)/a). Let j = l - -18. What is the remainder when 20 is divided by j?
9
Let r = -154 + -300. Let z = r - -872. Calculate the remainder when z is divided by 70.
68
Let o(l) = -81*l**2 - 367*l - 86. What is the remainder when o(-4) is divided by ((-3)/(-9))/((-3)/(-63))?
2
Let t = -9142 - -9153. What is the remainder when 3107 is divided by t?
5
Let h(b) = -13*b - 67. Let j be h(-11). Suppose -j = 21*g - 25*g. Calculate the remainder when 108 is divided by g.
13
Suppose 5*t + 14 + 6 = 0. Let a be 2/8 + 57/t. Calculate the remainder when (-1206)/a - 4/28 is divided by 30.
26
Suppose 0 = -10*g + 1919 + 211. Let o = -3 - -5. Suppose -5*x - 4*k = -g, o*x + 5*k = -x + 133. Calculate the remainder when x is divided by 11.
8
Suppose 5*b - 1080 = -3*c, 209*b + 4*c + 458 = 211*b. What is the remainder when b is divided by 26?
11
Let f(z) = -z**3 + 26*z**2 - 8*z - 395. Calculate the remainder when 939 is divided by f(25).
9
Let z(s) = -s - 21. Let t be z(-26). Calculate the remainder when (-68)/(-3) - (-1)/3 is divided by (-6)/t + (-639)/(-45).
10
Let f(a) = -a**3 + 21*a**2 - 5*a + 103. Let q be f(21). What is the remainder when (-4)/22 - (q - (-5484)/(-33)) is divided by 34?
32
Suppose 3*q - 100 = p, q + p = 2*p + 30. Let z = 10361 - 10337. What is the remainder when q is divided by z?
11
Let p be (-2)/(3*(-4)/894). Suppose 11*r - 544 = p. Let a = r + -35. What is the remainder when a is divided by 11?
6
What is the remainder when 415 is divided by 9 - -156 - (-7 - 0)/(-7)?
87
Suppose 4*p = 3*c + 1197, 2*c = 4*p - 2*c - 1192. Calculate the remainder when p is divided by 152.
151
Let c = -131 - -122. What is the remainder when 139 is divided by (-16)/(c - -5) - -6?
9
Let p = -643 - -1023. Calculate the remainder when 1141 is divided by p.
1
Let q(m) = 6 + 10*m + 6 + 6 - 24*m - m**2. Calculate the remainder when q(-12) is divided by 11.
9
Suppose -5*t + 3*f + 284 = 0, 0 = -2*f - 180 + 164. Let j(x) = 122*x + 7. What is the remainder when j(11) is divided by t?
49
Calculate the remainder when 1*(-3099)/(-21) - (400/14 + -29) is divided by (-597)/(-12) - (-1)/4.
48
Suppose 3*n - 2*n = 27. Suppose -930*q = 101*q - 183*q - 58512. Calculate the remainder when q is divided by n.
15
What is the remainder when 1541 is divided by (-336)/(-2*45/27*(-1)/(-5))?
29
What is the remainder when 1119 is divided by 95*15/(14 - -61)?
17
Let n be (11/33)/(1/426). Suppose 5*r - n + 22 = 0. What is the remainder when r is divided by 9?
6
Suppose 4*w + 1 = 4*n + 9, -2*w = 3*n + 6. Suppose w = 26*d - 28*d + 82. Suppose 5*a + 8*t = 3*t + 80, 2*t = 10. What is the remainder when d is divided by a?
8
What is the remainder when (-42892)/(-10) + (-3)/(-39) + (-180)/650 is divided by 81?
77
Suppose -236 - 44 = -5*d. Suppose -3*r + 524 = 4*j, 7498*r - 7501*r = -4*j + 596. Calculate the remainder when j is divided by d.
28
Suppose 21*h - 2*h - 7560 = -h. What is the remainder when h is divided by 103?
69
Let i = 530 + -365. Suppose 0 = -4*m - i + 209. What is the remainder when 27 is divided by m?
5
Suppose 3*i - 392 = 2*g - 2*i, -2*g = -3*i + 388. Let x = g - -248. Calculate the remainder when 112 is divided by x.
55
Calculate the remainder when (9/(-54) - (-266)/(-84))/(1/(-21)) is divided by (-64)/(-10) + 4/(-10).
4
Let v be 10/3 - ((-90)/(-27))/10. Suppose 0 = v*q + 3*u - 138, -u - 2 = -4*q + 167. What is the remainder when q is divided by 9?
7
Suppose 5*r = 18*m - 14*m + 129, 49 = 2*r + m. What is the remainder when r is divided by 15?
10
Let l be (1 + 2)*(-8)/(-12). Suppose -2 + 7 = 5*z - 5*v, l*v + 26 = -4*z. Calculate the remainder when z/14 - 447*5/(-105) is divided by 4.
1
Suppose -3*t - 4*m + 243 = 0, 3*t - 276 = -3*m - 30. Calculate the remainder when 3399 is divided by t.
84
Let o be 2/18*6*447. Let d = -271 + o. Suppose 213 = 3*r - 3*n - n, 0 = -3*r + n + 204. Calculate the remainder when r is divided by d.
13
Suppose 0 = 3*p - 7*p + 236 + 4. What is the