der when c is divided by y?
28
Let a(z) be the first derivative of z**3 - 11*z**2/2 + 6*z + 42. Let t be a(4). Calculate the remainder when -4*5/t*-19 is divided by 14.
10
Calculate the remainder when 991 is divided by (-266)/4*(-12 - -8).
193
Suppose -5*a + 357 = -3*c, 0 = c - 27 + 31. Suppose -21*w = -18*w - 9, 5*w - a = -2*g. Calculate the remainder when g is divided by 21.
6
Let l = -883 + 427. What is the remainder when (3/(-6))/((-1822)/l - 4) is divided by 46?
22
Suppose 2226 = l + 2*z, -3*l + 113*z = 117*z - 6676. What is the remainder when l is divided by 42?
40
Let w(u) = 3*u**2 - 68*u - 174. Calculate the remainder when w(35) is divided by 557.
7
Let t(m) = 3*m**2 + 29*m - 23. Let u be t(11). Let d = -622 + u. What is the remainder when 273 is divided by d?
14
Let g(y) = y + 14. Suppose -9*i + 15 = -4*i. Let z(w) = 11*w**2 - 5*w + 2. Calculate the remainder when z(i) is divided by g(8).
20
Let w(b) = -4*b - 9. Let i(k) = 3*k + 6. Let s(g) = -7*i(g) - 5*w(g). Calculate the remainder when s(-14) is divided by 6.
5
Suppose 5*q - 3 = 2*j, 3*j - 22 = 2*q + 8*j. Let k = 49 - 46. What is the remainder when (-13 + q + 3)*(2 + -3) is divided by k?
2
Let i(x) = -9*x**3 + 42*x**2 + 2*x - 25*x**2 + 53 + 10*x**3. Calculate the remainder when 9/(-12)*-2*24 is divided by i(-17).
17
Let a = -66 - -65. Calculate the remainder when ((-42)/(-63))/(((-2)/27)/a) is divided by 7.
2
Let v = -371 - -374. Let u be 7760/88 - 2/11. Suppose 2*b + u = v*x - 3*b, -x + 4*b = -20. What is the remainder when 106 is divided by x?
34
Let y(w) = 13*w + 11. Let h be y(-5). Let l = h - -56. Suppose -7*g + 50 = -l*g. Calculate the remainder when 57 is divided by g.
7
Let a(y) = 5 + 42*y - 5. Suppose -5*r - 3*z + 116 = 27, z = -4*r + 81. Calculate the remainder when a(1) is divided by r.
20
Let z = 10427 - 10340. What is the remainder when 103 is divided by z?
16
Let j = -83 - -209. What is the remainder when 60*3/((-30)/(-8)) is divided by 4 + -1 + (-1)/((-9)/j)?
14
Let h(o) = 10*o**2 - o + 1. Suppose 3*j - 412*v = -407*v + 6, -2*v - 50 = -8*j. Calculate the remainder when h(-2) is divided by j.
1
Suppose 0 = -z - 64 + 71. Suppose -12*s + 120 = -z*s. Suppose 6*t = 4*t + 26. What is the remainder when s is divided by t?
11
Suppose 2*h + 1430 = 7*h. Calculate the remainder when h is divided by (-495)/(-22)*8/10.
16
Let n = 104 + -193. Let h = 168 + n. What is the remainder when h is divided by 20?
19
Suppose 0 = -4*m + 3*p + 194, 22*m - 24*m - 4*p + 108 = 0. Calculate the remainder when 250 is divided by m.
0
Let w = 611 + -272. Let l = w + -108. Calculate the remainder when l is divided by 29.
28
Let f = -12177 - -12333. What is the remainder when 266 is divided by f?
110
Suppose 18*z - 6*z = -573 + 2121. What is the remainder when z is divided by 44?
41
Let g = 178 - 81. Suppose -g*p = -102*p + 10. Suppose p*d - 4 = 86. Calculate the remainder when 178 is divided by d.
43
Let m = -271 - -280. Suppose -m*t + 1065 = -33. What is the remainder when t is divided by 4?
2
Let w = -5606 - -5616. What is the remainder when 2509 is divided by w?
9
Calculate the remainder when 3/2 + (-2 - 3530/(-20)) is divided by 47.
35
Suppose -4*f - 2*x + 176 + 36 = 0, -2*f = -2*x - 118. Suppose 5*t + s = 147, -4*s = t + 2 - 58. Calculate the remainder when f is divided by t.
27
Calculate the remainder when -21*4/36*3 + 325 is divided by 109.
100
Suppose -3*f = -5*k + 80, 0 = -3*k - 12*f + 8*f + 106. Calculate the remainder when 2/(-3) + 640/6 is divided by k.
18
Let b = 29 - 42. Suppose -4*g - 3*j = -101, g - 5*j = 3*g - 61. What is the remainder when g is divided by ((-6)/(-12))/(3/(-6))*b?
10
Let z(p) be the first derivative of 33*p**2/2 - 202*p + 208. What is the remainder when z(15) is divided by 21?
20
Let q = 11 - 0. What is the remainder when ((-109)/(-4))/(-19*12/(-912)) is divided by q?
10
Suppose 2*v = 4*b - 174, -b - 4*v = -0*b - 57. Let i(w) = -w**2 + 9*w + 12. Let j be i(6). What is the remainder when b is divided by (-6 + j)*1/2?
9
Suppose 0 = -400*m - 101*m + 6513. Calculate the remainder when 3729 is divided by m.
11
Suppose 0 = 3*b - 5*z - 1602, -b + 521 = -0*b - 6*z. What is the remainder when b is divided by 107?
4
Suppose 5*s = -4*p + 61, 0 = -53*p + 52*p + 5*s - 16. Let t = 5 + -2. Suppose -3*v + p = -t. Calculate the remainder when v is divided by 2.
0
Let h(s) = -44*s + 2830. Calculate the remainder when h(-60) is divided by 48.
46
Let b = 3627 - 3420. What is the remainder when b is divided by 107?
100
Suppose -2*w + 42 = -192. Suppose 8*y - 1887 - 905 = 0. What is the remainder when y is divided by w?
115
Let v be (48 - 11) + 4*-1. Suppose 0*b - 11*b = -v. Suppose 2*l + 3*p + 22 = 3*l, -43 = -4*l - b*p. Calculate the remainder when 38 is divided by l.
12
Suppose -3*t = 1 + 11. Let y be (5 + 1 + -7)*-72. What is the remainder when 81 is divided by ((-2)/t)/(291/y + -4)?
9
Suppose -18962 + 6545 = -220*p + 24983. Calculate the remainder when p is divided by 65.
40
Let o = -1 - 0. Let z be (-8)/136*-70 + 4/(-34). What is the remainder when 10 is divided by 28/(-1)*o/z*1?
3
Suppose -4*n + n = -255. Suppose y - 3*h - 75 = 0, 0*h - 5*h - n = -y. Calculate the remainder when 417 is divided by y.
57
Suppose 5 + 9 = 7*l. Let m(b) = -b + 10. Let r be m(0). Suppose -3*t - l*f - 52 + 434 = 0, 2*f - r = 0. What is the remainder when t is divided by 21?
19
Suppose -3*h + 1 = -4*h - 3*o, h = 3*o - 31. Let f = 90 + h. Suppose 214*l = 192*l + 700 - 150. What is the remainder when f is divided by l?
24
Let l(y) = y**3 + 16*y**2 + 16*y - 151. What is the remainder when 976 is divided by l(-14)?
7
Let k(o) = -2*o**3 - 10*o**2 + 35*o + 25. Calculate the remainder when k(-8) is divided by 23.
14
Suppose 85239 = 5*d + 16*d. Calculate the remainder when d is divided by 5.
4
Let z = 4230 + -4160. Calculate the remainder when 156 is divided by z.
16
Suppose 369 = 29*w + 253. What is the remainder when 125 is divided by w?
1
Let c(y) = y**2 - 6*y + 7. Let l be c(5). Let i = -1389 + 1394. Suppose -i*b + 72 = h, b - l*h + h = 12. Calculate the remainder when b is divided by 4.
2
Suppose -60*b + 58*b + 3*n + 3136 = 0, -n - 7853 = -5*b. Calculate the remainder when b is divided by 520.
11
Let h = 10127 + -10093. What is the remainder when 593 is divided by h?
15
Let h(r) = -r**3 - 38*r**2 - 95*r - 583. What is the remainder when h(-36) is divided by (-78)/(-24)*4*6 - 0?
11
Let c = -628 + 900. Suppose 0 = -19*t + 1190 - 715. Calculate the remainder when c is divided by t.
22
Suppose 5*r + 4*a - 421 = 2*r, 0 = -5*r + 5*a + 690. Let m = r - 22. Let c = 76 + -56. What is the remainder when m is divided by c?
17
Let p(o) be the second derivative of -o**5/10 - 13*o**4/4 + 19*o**3/6 - 3*o**2 - 28*o - 2. What is the remainder when 82 is divided by p(-20)?
12
Let k(t) = t**3 + 42*t**2 + 3*t + 128. Let v be k(-42). Suppose 5*s + 14*o - 9*o = 60, -v*o - 8 = -2*s. Calculate the remainder when 285 is divided by s.
5
Suppose -7*h + 41*h - 14*h - 700 = 0. What is the remainder when 860 is divided by h?
20
Suppose -9 = 3*c - 6*c, -5*x + 4*c = 1997. Let a = 446 + x. Suppose l + l - 2*f - 378 = 0, -4*f = -5*l + 948. What is the remainder when l is divided by a?
45
Calculate the remainder when 4655 is divided by (-2)/(-87) - (-27808)/1392.
15
Let w be (3 + -1)*-7*(-2)/4. Suppose -2*q - f = -w*q + 16, 10 = 3*q - f. What is the remainder when (q - 3/2)*(-116)/(-6) is divided by 15?
14
Let o(i) be the second derivative of -i**5/20 - 5*i**4/6 - 4*i**3 + i**2 - 9*i - 6. Calculate the remainder when 177 is divided by o(-7).
16
Let z(l) be the second derivative of -10*l**3/3 - 245*l**2/2 - 5*l + 31. Calculate the remainder when 43 is divided by z(-13).
13
Let i be (-6)/(-15)*190/(-8)*-62. Let z = i + -882. Let h = z + 456. Calculate the remainder when h is divided by 33.
31
Suppose -3*b = -4*l - 56, -b - 4*b = -4*l - 96. Suppose 3*v - 275 = 259. What is the remainder when v is divided by b?
18
Suppose 2*y - 5020 = -b, -16*y + 16*y = -5*b. What is the remainder when y is divided by 16?
14
Let o(x) = 4*x**2 + x. Let f be o(-5). Suppose 2*y = -v + f, -2*v = 11 - 21. What is the remainder when 359 is divided by y?
44
Suppose 5*x - 3*l - 907 = -175, 0 = -4*x - 3*l + 591. What is the remainder when 1638 is divided by x?
21
Let