t) be the second derivative of -t**4/12 - 13*t**2/2 - 6*t. Let y be p(-6). Let f = y - -69. Calculate the remainder when f is divided by 12.
8
Let j be 139692/189 + 1 + 10/(-9). Let t = -726 + j. Suppose 2*z = -b + 201, -z + 4*b + 108 = 2*b. Calculate the remainder when z is divided by t.
11
Let v = 28 + -17. Let u be 16 + -13 + 1 + -4. Suppose l - 104 = -7*y + 2*y, u = 4*y - 3*l - 68. Calculate the remainder when y is divided by v.
9
Let x = -264 + 796. Suppose 16*s + 22*s = x. Calculate the remainder when 87 is divided by s.
3
What is the remainder when 2/4 + (44 + -47)*(-2741)/6 is divided by 53?
46
Let z = 25142 - 25122. What is the remainder when (-274)/(-4) + 1/(-2) is divided by z?
8
Let r(u) = u**2 + 6*u + 7. Let w be 9/(-12) + (-92)/(-16). Let l(n) = n**3 + 4*n - 8. What is the remainder when l(w) is divided by r(-8)?
22
Let t(a) = 5*a - 31. Suppose 5*c + 13 - 68 = 0. Suppose -3*r + 232 + 122 = 0. What is the remainder when r is divided by t(c)?
22
Let c(p) = -2*p**3 + 27*p**2 + 134*p - 2024. Let j(o) = o - 1. Let m be j(1). Calculate the remainder when 2 + 150/(2 - m) is divided by c(12).
13
Suppose -19 - 491 = 5062*c - 5113*c. What is the remainder when 2 - (-626 + (-2 - -1)) is divided by c?
9
Let j = 406 + -390. Suppose a = o + 10, -8 = 20*o - j*o. What is the remainder when 23 is divided by a?
7
Let d(v) = -v**3 - 2*v**2 - 12*v - 17. Suppose 0 = -3*c - 11 - 4. Calculate the remainder when d(c) is divided by 30.
28
Let x(r) = 69*r**3 - 5*r**2 - 5*r - 4. Let t be x(-2). Let l = -557 - t. What is the remainder when 14 is divided by l?
5
Suppose -3713 = -364*i - 437. Calculate the remainder when 2752 is divided by i.
7
Let m = 130 - 6. Suppose 8*f - 676 = m. What is the remainder when f is divided by 26?
22
Suppose 82 = 15*g + 82. Suppose g*h = -2*h + 5*s + 154, 189 = 3*h + 3*s. Calculate the remainder when 114 is divided by h.
47
Let l = -2943 + 2976. What is the remainder when 3430 is divided by l?
31
Let z(r) = -55*r - 14. Let q be z(7). Let g = q - -443. Let n = 11 - -12. What is the remainder when g is divided by n?
21
Let f = 254 - 93. Calculate the remainder when 311 is divided by 159/(-106) - f/(-2).
74
Suppose 5*q - 17 = 15*h - 14*h, -26 = h + 4*q. Let x = 54 + -18. Calculate the remainder when 4/h + x/(-44) + 17 is divided by 7.
2
Let f be (-10)/(-8)*(-4 - 0). Calculate the remainder when (f*(-12)/(-90))/((-4)/1422) is divided by 30.
27
Let o be 3 + (11 - 5) + -6. Let c(z) = 50*z + 2. Calculate the remainder when c(o) is divided by 51.
50
Suppose -3934 = -88*s - 409*s + 14952. What is the remainder when 85 is divided by s?
9
Let q = 10511 + -10316. Calculate the remainder when q is divided by 100.
95
Let w(g) = -2 + 27*g**2 + 1 + 7*g - 5 - 4. What is the remainder when w(2) is divided by 23?
20
Let x(k) = 4*k**3 + 111*k**2 - 24*k + 146. What is the remainder when 12782 is divided by x(-28)?
32
Let r(o) = 51*o + 4432. Calculate the remainder when r(-61) is divided by 226.
191
Let w(k) = 2*k**2 + 28*k - 290. What is the remainder when 1111 is divided by w(8)?
57
Let y(v) = 22*v**2 - 8*v - 6. Let a be y(-1). Calculate the remainder when 56 is divided by (-1*a/7)/(4/(-14)).
8
Suppose 94 + 6 = 2*i. What is the remainder when i is divided by 1504/(-282)*42/(-16)?
8
Let d(j) = 3*j**2 - 10. Let r be d(-6). Let g be ((-7)/(r/24))/(8/(-28)). Calculate the remainder when 5 is divided by (2/(-3))/((-8)/g - -1).
1
Suppose -20 = -5*s + 3*l, -5*l + 4 = -4*s + 7. Suppose 11*t - 124 = s*t. What is the remainder when 96 is divided by t?
3
Let y be (1595/15 + -3)/((-12)/(-18)). Suppose -y*i = -156*i + 4. Calculate the remainder when 144/15 - (-2)/5 is divided by i.
2
Let u be (-8)/(-2) + -2 + (-2 - -14). Suppose 13 = -q + u. Calculate the remainder when ((-43)/(q/(-1)))/1 is divided by 11.
10
Let u(k) = k**3 + 40*k**2 - 19*k + 916. What is the remainder when 1849 is divided by u(-41)?
1
Suppose -1583 = -366*n + 362*n + 5*y, 3*y - 400 = -n. Calculate the remainder when n is divided by 50/(-1 + 2/1).
47
What is the remainder when 702 is divided by (-2)/5*(-50)/(-40)*-152?
18
Let f(x) = 2*x**2 + 29*x - 24. Calculate the remainder when f(-21) is divided by (-3)/((-265)/(-70) + -4).
11
Let f = 27 - -53. Let r = -519 + 525. Calculate the remainder when f is divided by 54*((-27)/r)/(-9).
26
Let x(o) = 3*o**2 - 12*o - 8. Let y be x(5). Suppose -51 + 2 = -y*b. Calculate the remainder when 12 is divided by b.
5
Suppose -r = -7 + 4. Suppose 2*z = -r*d + 39, 41 = 4*d - z - 22. Let s = d + 8. Calculate the remainder when s is divided by 10.
3
Let v(p) = p - 37. Let l be v(8). Let a = l - -26. What is the remainder when (-34)/51 + (-107)/a is divided by 4?
3
Let l = -178 - -183. Suppose 2*s = 2*o + 13 - 35, l*o + s - 73 = 0. Calculate the remainder when o is divided by 8 - (1 - 0)*-1.
5
Let y = 10577 + -5354. What is the remainder when y is divided by 19?
17
Suppose -7*q + 451 = 52. What is the remainder when q is divided by 34?
23
Let b be (-2061)/(-15) - (-12)/(-20)*-1. Let i(x) = -92*x**3 + x**2 + x - 1. Let h be i(-1). Let u = b - h. What is the remainder when u is divided by 18?
11
Let k(l) = -l**3 - 112*l**2 + 221*l - 682. What is the remainder when 1376 is divided by k(-114)?
100
Let b = 32529 + -22368. Calculate the remainder when b is divided by 77.
74
Suppose 5*i + 4*x = 203, -10*i = -13*i + x + 132. What is the remainder when i is divided by 8?
3
Let p be (-18)/(-24)*4 + -1488. Let c = p + 2112. Suppose 3*d - 462 = -w, 5*w = d - 5*d + c. What is the remainder when d is divided by 26?
23
Suppose 3*y + t = 2*t + 444, 2*t = 4*y - 592. Let o = -118 + y. What is the remainder when 77 is divided by o?
17
Let y(u) = u + 3. Calculate the remainder when 745085/(-2090)*4/(-46) is divided by y(5).
7
Let p = 2828 - 2218. What is the remainder when p is divided by 27?
16
Suppose -78*u - 56 = -85*u. Suppose 12*x + u*x = 1560. Calculate the remainder when 78 is divided by x.
0
Let v(b) = 4*b + 94. Let s be v(-23). Suppose -w = 5*y - 170, -s*y + 4*w + 90 = -0*w. Let d = 39 + 28. Calculate the remainder when d is divided by y.
32
Let m(r) = 16*r + 159. Let a be m(-9). Suppose a*k - 220 = -7*k. What is the remainder when 366 is divided by k?
6
Let k(i) = 2*i - 72. Let l be k(37). Suppose l*g = -5*m + 81, -21*m + 19*m + 30 = 2*g. What is the remainder when 4/14 - 4696/(-28) is divided by m?
15
Suppose -p = 2*o - 28 + 8, -2*o + 16 = 2*p. Calculate the remainder when 802 is divided by o.
10
Let p = -8193 + 8320. What is the remainder when 1257 is divided by p?
114
Suppose 84*g + 34082 = -187*g + 167685. Calculate the remainder when 1068 is divided by g.
82
Let l(k) = -k + 10. Let w(p) = 4*p**2 + 12*p - 43. What is the remainder when w(3) is divided by l(4)?
5
Let i(x) = x**3 + 59*x**2 - 22*x + 73. What is the remainder when i(-59) is divided by 98?
97
Suppose 84 = -12*i + 9*i. Let k = 30 + i. Suppose 252 = 3*m + 3*l, -2*m + 17 = -k*l - 143. Calculate the remainder when m is divided by 28.
26
Let m = 1 - -9. Let c(f) = -2*f**3 + 34*f**2 + f - 1. Let a be c(17). Let z = 44 - a. Calculate the remainder when z is divided by m.
8
Suppose 2861*o - 2860*o - w - 8439 = 0, -2*o - 5*w = -16934. What is the remainder when o is divided by 176?
175
Let v be -1 - -3 - -4*(-14)/(-4). Suppose 0 = -5*c + 11*s - v*s + 500, -2*s - 430 = -4*c. What is the remainder when c is divided by 2/(-3)*1620/(-40)?
24
Let o(i) = -1073*i - 6394. What is the remainder when 2681 is divided by o(-6)?
41
Let b(j) = j**3 + 7*j**2 + 7*j - 10. Suppose -w + 17 - 6 = -4*m, 4*w = -4*m - 36. What is the remainder when 16 is divided by b(m)?
6
Let q(b) = -4*b - 1. Suppose 20*p + 17*p = 5883. Suppose -p*d + 156*d = -111. Calculate the remainder when d is divided by q(-4).
7
What is the remainder when (9*5/90)/(1/16628) is divided by 12?
10
Let d = 879 - 804. Let s be 2/8 - (-189)/28. Let r(n) = 4*n - 8. What is the remainder when d is divided by r(s)?
15
Let l(r) = 9*r + 189. Calculate the remainder when 238 is divided by l(-15).
22
Suppose -3*t = g + g + 10, -t + 3*g = -15. Suppose -v + 2 = -t*v. Calculate the remainder when 7 is divided by (0 - (-16)/(-12))*(-3)/v.
1
Let x be (3 + 7/(-3))/(6/765). Let s = x - 49. What is the remainder when 179 is divided by s?
35
Let t = -115 - -115. Suppose t = -14*y +