b.
32
Let r(c) = 2386*c - 14176. Suppose -4*u + 4*d + 160 = 0, 0*d + d - 86 = -2*u. Calculate the remainder when r(6) is divided by u.
14
Let j(r) be the third derivative of r**6/120 - 7*r**5/60 + r**4/4 + 25*r**3/6 + 114*r**2. Calculate the remainder when 574 is divided by j(6).
24
Let o = -82 - -131. Suppose 3*z + h = 101, 2*z = -2*h + 25 + o. What is the remainder when 77 is divided by z?
13
Let c(l) = 243*l + 7356. Let h be 2/(-9) + (-232)/(-72). Suppose 0 = -h*y + 31 - 1. Calculate the remainder when c(-30) is divided by y.
6
Let c(r) = -14*r**2 + 58*r - 7. Let p be c(8). Let s = p - -566. What is the remainder when s is divided by 41?
4
Let u = 6499 + -6226. What is the remainder when 298 is divided by u?
25
Let k(q) = -q**2 + 29*q + 146. Let w be k(30). Suppose -w + 180 = d. Calculate the remainder when 189 is divided by d.
61
Suppose 4*u - n = 1430, -2*u + 2*n - 371 = -3*u. Calculate the remainder when u is divided by 52.
47
Suppose -3*m = 5*h - 18, 10*h = m + 9*h - 14. What is the remainder when (-4 + -4)*(-1 + -3) is divided by m?
10
Let p(w) be the first derivative of -w**4/4 - 8*w**3/3 - 4*w**2 + 5*w + 76. Calculate the remainder when p(-7) is divided by 3.
0
Let o be 0 - (-4*(-6)/8)/(-1). Suppose -2*a - 4 = -o*a. Calculate the remainder when 90 - (-2 + -1) - (-4)/a is divided by 24.
22
Let m = 38662 + -38606. Let k(l) = -13*l. What is the remainder when k(-5) is divided by m?
9
Suppose -12 = 2*l, 2*f - 346 = 5*l + 138. What is the remainder when f is divided by 207?
20
Let j be 48/26 + (-14)/(-91). Let d be (2 + -2)/(j + 0). Suppose 3*k - 48 = -d*k. Calculate the remainder when k is divided by 10.
6
Let k be 4*(0 + 40)*(-20)/16. Let t = k - -208. Let f = -34 - -64. Calculate the remainder when f is divided by t.
6
Let y = 14 - 3. Let b = -149 + 80. Let d = b + 75. Calculate the remainder when y is divided by d.
5
What is the remainder when ((-430)/8)/(129/(-516)) is divided by 49?
19
Let d(f) = 12*f + 358. Let o(s) = -s**3 + 5*s**2 + 2*s + 3. Let j be o(5). Let a = j + -1. Calculate the remainder when d(-25) is divided by a.
10
Let q = 59 + -55. Suppose q*t - 56 = 196. Let u = 34 + -21. What is the remainder when t is divided by u?
11
Suppose -4*q + 5*q - 1083 = -4*n, -2*n = -q - 549. Suppose 63*s = 67*s - n. Calculate the remainder when s is divided by 24.
20
Suppose -3*l + p + 615 = 0, 2*l + 3*p + 0*p = 399. Calculate the remainder when l is divided by 4.
0
Let a = 106 + -74. Let x = a + -12. Calculate the remainder when 139 is divided by x.
19
Let p be (-393190)/(-822) - (-1)/((-3)/(-2)). Let a = p - 425. Calculate the remainder when a is divided by 34.
20
Let q = 270 + -105. Suppose 0 = 9*f + 66 - q. Let h(s) = -6*s. Calculate the remainder when h(-7) is divided by f.
9
Suppose 4*s = 3*r - 0*s - 43, s = 2*r - 22. Suppose 8 = x + 10. Calculate the remainder when (x - (-6 + 8))*-6 is divided by r.
6
Let r = 681 - 633. Suppose 0 = -3*k + z + 14 + 1, 10 = k - 2*z. Calculate the remainder when (r + -46)*(27/6 - 0) is divided by k.
1
Let k = -96 + 164. Calculate the remainder when -21 - (-2090)/10 - -10 is divided by k.
62
Suppose -4*j + 33 = -23. Calculate the remainder when 370/j - (-21)/(-49) is divided by 4 + 4/(4 + -3).
2
Let m(c) = 3*c**2 - c - 1. Let r be m(-1). Suppose 0 = -r*u - u + 2400. Calculate the remainder when 88 is divided by ((-4)/(-5))/(20/u).
16
Let b = 3930 + -3875. Calculate the remainder when 389 is divided by b.
4
Let t(o) be the second derivative of 7*o**5/10 + o**4/12 + 3*o**3/2 - 11*o**2/2 + 4*o + 10. What is the remainder when 99 is divided by t(1)?
8
Let g(f) = -25*f**3 + 7*f**2 - 2*f + 1. Let r be g(-2). Let i = -205 + r. Calculate the remainder when 749/9 - 4/18 is divided by i.
27
Suppose -10 = -p + 5. Suppose -180*w = 100*w + 23413 - 89493. Calculate the remainder when w is divided by p.
11
Suppose 13*i = 9*i + 3*h + 27, 5*i = -2*h + 28. Suppose 3*w + 2*q - 1509 = i*q, 5*w - 4*q = 2523. Calculate the remainder when w is divided by 17.
14
Suppose -g + 4*g - 24 = 4*y, 0 = 5*g - 5*y - 35. Suppose -g*t + 596 = 2*k, 3*k - 10*t + 5*t - 927 = 0. What is the remainder when k is divided by 51?
49
Let g = 16 - 13. Suppose 0 = g*y - 12*y + 225. What is the remainder when y is divided by 6?
1
Suppose -2*j + 524 = j + 2*q, 188 = j - 2*q. Calculate the remainder when j is divided by 4.
2
Let u(w) = -2*w - 8. Let h be u(-35). Suppose 30*v - h = 28*v. What is the remainder when 88 is divided by v?
26
Calculate the remainder when (-1 + 3/6)/(11/(-8646)) is divided by 148.
97
Suppose -53*i + 7238 = 63*i - 4130. What is the remainder when i is divided by 98?
0
Let a = 626 + -610. What is the remainder when 12109 is divided by a?
13
Let d(w) = -409*w + 16. What is the remainder when 149 is divided by d(0)?
5
Suppose -7 + 142 = y. Suppose -12*z + y = -3*z. What is the remainder when 19 is divided by (1 - 3)/((-6)/z)?
4
Let c = -142 - -317. Let j = -165 + c. What is the remainder when 22 is divided by j?
2
Suppose 6*q = 4*q - q. Let f(g) = -g**2 + 7*g + 4. Calculate the remainder when 16 is divided by f(q).
0
Let r = -10333 - -10392. What is the remainder when 417 is divided by r?
4
Suppose 11*g = -2*w + 6*g - 12, 0 = -5*w + 2*g + 28. Suppose 1534 = 2*b + 5*r, -w*r + 1419 + 882 = 3*b. Calculate the remainder when b is divided by 7.
4
Let o(g) = 7*g**3 - 32*g**2 + 170*g - 23. Calculate the remainder when o(9) is divided by 12.
10
Let i(g) = g**2 - 90*g + 1413. Let f = 4 - -1. Suppose -3*o + f*o = 178. What is the remainder when o is divided by i(20)?
11
Let z(a) = a**3 - 25*a**2 - 24*a - 22. Let j(g) = 2 - 2*g - 4*g - 15 + 3*g. What is the remainder when z(26) is divided by j(-10)?
13
Let i = -5048 - -5108. What is the remainder when 2219 is divided by i?
59
Let p = 74 + -54. Let b be ((-32)/p)/2*5. Calculate the remainder when 6/b*(-34)/3 is divided by 5.
2
Suppose 30*j - 2854 = -2*p + 33*j, 0 = -p - j + 1442. What is the remainder when p is divided by 162?
140
Let f(o) = o. Let g(c) be the third derivative of c**5/60 - c**4/24 - 5*c**3 - 2*c**2 + 2. Calculate the remainder when g(8) is divided by f(7).
5
Suppose 21*o - 363 = -1245 + 4284. Calculate the remainder when o is divided by 152.
10
Suppose -3*w + 6*b = 8*b - 67, -7*b + 107 = 3*w. What is the remainder when 1939 is divided by w?
1
Suppose g - 19 = -5. Let d(k) = 19*k**2 - 9*k + 3*k**3 - 3*k + 5 + 18*k. What is the remainder when g is divided by d(-6)?
4
What is the remainder when 36 - 31 - (-1970 + -5)/5 is divided by 245?
155
Let t(u) = 9*u + 67. Let x be t(30). Let k = x + -322. What is the remainder when k is divided by 6?
3
Suppose 309 = 3*b + 4*y, 2*b - 3*y = 6*b - 405. What is the remainder when 898 is divided by b?
7
Suppose -49*i = -45*i + 2*f - 646, 495 = 3*i - 2*f. Suppose -i*q + 2096 = -147*q. What is the remainder when q is divided by (-3)/((-2)/(44/2))?
32
Let a(o) = -o**2 - 15*o + 30. Let c = 23 + -28. What is the remainder when ((-258)/c)/((-6)/(-15)) is divided by a(-14)?
41
Suppose 61*q = 70*q - 12438. Suppose 426 - q = -2*j. What is the remainder when j is divided by 60?
58
Suppose -21*m - 23 + 65 = 0. Calculate the remainder when 53 is divided by m.
1
Suppose 40 = 4*l + 2*d, 13 = l - 4*d + 3*d. Suppose l*a - 14*a + 30 = 0. Calculate the remainder when 41 is divided by a.
1
Let q(w) = 8*w - 113. Let g be q(16). Let r = 11 + -5. Suppose s + g = r*s. What is the remainder when s is divided by 2?
1
Let d be (4 + -2)*(-7)/(-14)*8. Suppose -107 = -d*c + 5. What is the remainder when 80 is divided by c?
10
Let f(b) = 12*b - 10. Suppose 120*g = 118*g + 38. Calculate the remainder when f(7) is divided by g.
17
Suppose -5*z + 5*m + 436 = m, -5*m = 20. Calculate the remainder when z is divided by -12 - (-1 - -4)*-19.
39
Suppose 3*g - 4*w - 752 = 0, 4*g = 8*g - 5*w - 1003. Suppose -6*m + g = 6. What is the remainder when m is divided by 29?
12
Let v(z) = 46*z - 10. Suppose -651 = -3*h - 4*x + 329, 0 = 4*h - 4*x - 1260. Calculate the remainder when h is divided by v(1).
32
Suppose o + 63 - 65 = 0. Suppose -3*u = -0*h - 4*h - 204, -116 = -o*u - 4*h. Calculate the remainder when 183 is divided by u.
55
Let x(m) = -m**2 + 62*m + 1038. Let a(z) = z**3 + 4*z**2 - 4*z - 3. What is the remainder when x(-13) is divided by a(-4)?
11
Let p = -2945 - -2974. Calcu