b.
42
Suppose -4*x + 0*t + 3*t + 4 = 0, 5*x + 6 = t. Let y = x - -33. Let k(d) = d**2 - 607*d + 6647. What is the remainder when k(11) is divided by y?
29
Suppose -22*p = -8*p - 266. What is the remainder when 69 is divided by p?
12
Let m = -456 - -584. What is the remainder when m is divided by 65?
63
What is the remainder when (-4 - (-93)/12)/(11/572) is divided by 33?
30
Let n(l) = 3*l**2 - 210*l + 87. Suppose -s - 105 = -6*s - 3*w, 4*s - 62 = 2*w. Calculate the remainder when n(70) is divided by s.
15
Let t = 1486 + -848. Calculate the remainder when t is divided by 71.
70
What is the remainder when 830 is divided by 1648/64 - (-2 + 21/12)?
24
Let h = 87 + -57. Let w = 59 - h. Calculate the remainder when 113 is divided by w.
26
Let o(y) be the second derivative of -y**5/20 + 2*y**4/3 - y**3 + 9*y**2/2 + 10*y. Calculate the remainder when 61 is divided by o(7).
13
Suppose 4*k - 3*a = -a + 8, -k - a = -8. Suppose 5*g + k*x = 521, x + 406 = 4*g + 6. Calculate the remainder when g is divided by 26.
23
Suppose 2358 - 54 = 9*z. Calculate the remainder when z is divided by 65.
61
Let c(t) = 4*t - 7. Let a be c(3). Let m(w) = 6*w - 4. Let d be m(a). Suppose -3*v - d = -5*v. What is the remainder when 25 is divided by v?
12
Let d(l) = -l**3 - 2*l**2 + l + 12. Suppose -2*c + 5*b = -20, 5*c + 5*b = b - 16. Calculate the remainder when d(c) is divided by 5.
2
Suppose 0 = -5*c + 1527 - 577. What is the remainder when c is divided by 32?
30
Let k(f) = 3*f**3 + 5*f**2 - 6*f + 3. Let c(z) = -z**2 + 6*z + 2. Let h be c(6). Calculate the remainder when k(h) is divided by 434/35 - 2/5.
11
Let l = -7 - -27. Let v = -6 + l. Calculate the remainder when 15 is divided by (-1)/((v/(-8))/7).
3
Suppose 3*d + 3*j - 3 - 81 = 0, 0 = 2*d + 5*j - 68. Let s = -21 + d. What is the remainder when 8 is divided by (-6 + s)*(-2 + 1)?
2
Suppose -5*u + 3*f = 3 + 6, 4*u + 5*f - 15 = 0. Suppose 4*l - 4*t = 68, -5*l + 56 = -2*t - 14. What is the remainder when (u/(-2) - -32) + 0 is divided by l?
8
Let j(x) = x + 3*x + 17 + x**2 - 4. Let c be (2/(2 - 4))/((-10)/(-70)). Calculate the remainder when j(c) is divided by 18.
16
Suppose 0*f + f - 473 = 0. Calculate the remainder when f is divided by 68.
65
Let j(b) be the second derivative of -6*b**3 - 6*b. Let k be j(2). Let o = -18 - k. What is the remainder when o is divided by 14?
12
Suppose 2*h = -2*z - 3*z + 20, 0 = 2*h - 5*z. Suppose 4 + 16 = h*v. Suppose 0 = -f - 3*f - 12, v*l - 196 = -4*f. What is the remainder when l is divided by 27?
25
Suppose 13*o + o = 490. Suppose 0*z + o = 7*z. Calculate the remainder when 8 is divided by z.
3
Let o = 1269 - 1262. What is the remainder when 130 is divided by o?
4
Let p = 724 + -421. What is the remainder when p is divided by 79?
66
Suppose 0*q - 94 = -q. Let g be (-5)/(15/(-9)) + 0. Suppose -g*m - 12 = 0, -3*w + 84 = -m - 2*m. Calculate the remainder when q is divided by w.
22
Suppose -3*o + 2*f + 10 = 0, -4*o + 3*f - 1 + 14 = 0. Suppose 0 = -2*x + 6, -o*x = 5*l - 37 - 15. What is the remainder when 46 is divided by l?
6
Let d be ((-14)/(-6))/((-14)/(-42)). Let f(r) = -109 + 0*r**2 - r**3 + 117 + d*r**2. Calculate the remainder when 12 is divided by f(7).
4
Let w(k) = 4*k + 11. Let g be w(-8). Let p = 1 - g. What is the remainder when 2/7 - (-1460)/35 is divided by p?
20
Let i(s) = -20*s + 82. Calculate the remainder when 3222 is divided by i(1).
60
Let h(i) = -5*i - 26. Let o be h(-6). Suppose -b + 78 = o*u + b, 3*u - 56 = -b. What is the remainder when 49 is divided by u?
15
Calculate the remainder when 8*1 - 160/(-32) is divided by 8.
5
Suppose 3*l + 148 = -2*l + y, -4*y - 104 = 4*l. Let w = l - -62. What is the remainder when 163 is divided by w?
31
Let y = 23 + -28. Let n = 1 + y. What is the remainder when (n - -2 - -63) + 2 is divided by 13?
11
Suppose 5*z + 2*s - 22 = 0, 0*s + 6 = z + 2*s. Calculate the remainder when 130/z + 2/4 is divided by (-1)/(-2 + 17/9).
6
Suppose -18*v + 3*v + 165 = 0. Suppose -2*i + v*i = 234. What is the remainder when i is divided by 15?
11
Let s(f) = -f**3 - 15*f**2 - 22*f - 59. What is the remainder when s(-14) is divided by 8?
5
Suppose 3*l + o = -601, -3 = -0*o + 3*o. Let q be ((-2)/5)/(4/l). Let z = 29 - q. Calculate the remainder when z is divided by 4.
1
Let y be (-4)/(-6)*12/8. Suppose -7 + y = -k. What is the remainder when 21 is divided by k?
3
Suppose -6*d - 1131 = -45*d. What is the remainder when 75 is divided by d?
17
Let s(k) = 28*k - 169. What is the remainder when 498 is divided by s(7)?
12
Let q = -304 + 300. Let j(f) = -7 - 3*f**2 - 7*f - 2*f**2 + 4*f**2. What is the remainder when 12 is divided by j(q)?
2
Let l(c) = 3*c**2 - 4*c + 7. Let i be l(4). Suppose 0 = -2*s + k + 3*k + 38, -2*s + 3*k + i = 0. What is the remainder when s is divided by 116/10 + 2/5?
9
Let a be (1 - (-1 + -2)) + 3. Let n(p) = -2 + 3*p + 11 + 8*p. Calculate the remainder when n(a) is divided by 29.
28
What is the remainder when 41 is divided by (-1173)/(-161) - (8/(-14))/(-2)?
6
Let t(a) = 26*a - 55. Calculate the remainder when t(4) is divided by 25.
24
Let y(z) = 35*z - 2. Suppose 0 = f - 11 - 28. Calculate the remainder when y(3) is divided by (f/2)/(45/60).
25
Let f = -84 + 119. Let u be 6/(-4)*(-664)/12. Let z = u + -16. What is the remainder when z is divided by f?
32
Let v(d) = 3*d - 27. Let x be v(12). Suppose -2*o = -3*o + x. Calculate the remainder when o is divided by 4.
1
Let t(r) = -2*r - 18. Let k be t(-9). Suppose -4 + k = -s. What is the remainder when 19 is divided by s?
3
Let l be 18/117 + 1571/13. Let j = 78 - l. Let o = j + 62. What is the remainder when 54 is divided by o?
16
Suppose -3*t + 4*i = -120, 0 = 3*t - 2*i - 181 + 67. Calculate the remainder when 67 is divided by t.
31
Suppose 37*l - 116 = 35*l. What is the remainder when 228 is divided by l?
54
Suppose 2*m - 4 = 284. What is the remainder when m is divided by 49/(2/4 + 1/2)?
46
Let f = 685 - 677. What is the remainder when 861 is divided by f?
5
What is the remainder when 8/(-10) + (6 - (-11390)/50) is divided by 39?
38
Let h = 73 + -109. Calculate the remainder when (-2204)/h - 4/18 is divided by 21.
19
Suppose d - 5*d = -88. Suppose 10*q - 20 = 8*q. Let r = 2 + q. What is the remainder when d is divided by r?
10
Let j(g) = -g**3 + 6*g**2 + g + 25. Calculate the remainder when j(5) is divided by 12.
7
Suppose 73*o = 2751 + 33968. Calculate the remainder when o is divided by 6.
5
Let d(m) = 50*m**2 - 2*m - 39*m**2 - 4 - 2*m. Calculate the remainder when 54 is divided by d(-1).
10
Let w = -11184 + 11225. Suppose -a + 12 = 3. What is the remainder when w is divided by a?
5
Suppose -6*w + 108 + 210 = 0. Calculate the remainder when 132 is divided by w.
26
Let c = 34 - 21. Let v be (-8)/(-6) + 12/18 - 15. Calculate the remainder when c is divided by 6 + 0 + 15 + v.
5
Suppose 11*j - 6*j - 3*b - 935 = 0, 775 = 4*j + 3*b. Calculate the remainder when j is divided by 16.
14
Let r = 620 + -609. What is the remainder when 15 is divided by r?
4
Calculate the remainder when ((-54)/4)/(1/(-2)) is divided by (0 - (-3 - (-114)/30))*(-7 - 3).
3
What is the remainder when 1*(-18)/(-27)*(0 - -789) is divided by 132?
130
Let g(l) be the second derivative of l**5/20 - 7*l**4/12 + l**3/3 - 5*l**2/2 - 22*l. What is the remainder when 34 is divided by g(7)?
7
Let b(d) = d - 2. Let n be b(4). Suppose -i + 2*u = 0, -n*i + 0*u = 3*u - 7. Suppose -12*g + 49 = -35. What is the remainder when g is divided by i?
1
Let m = -117 - -147. Calculate the remainder when 114 is divided by m.
24
Suppose 4*n + 4*m - 96 = 0, 8*n = 4*n - 3*m + 97. Calculate the remainder when n is divided by 23.
2
Suppose 0 = o - 3 + 1. Suppose 3*a - 36 = k, 3*a - 4*k - 67 = -o*a. What is the remainder when 43 is divided by a?
10
Suppose h + 2*h - 21 = 0. Suppose h*m = -b + 3*m + 50, 3*b - m = 176. What is the remainder when b is divided by 12?
10
Let a(p) = p**3 - 5*p**2 + 4*p + 2. What is the remainder when 41 is divided by a(5)?
19
Let l = -386 - -550. What is the remainder when l is divided by 20?
4
Let t = 30 + 59. Let z(h) = -h**2 - 45*h + 557. Calculate the remainder when t is divided by z(10).
5
Suppose -5*x + 917 = -a + 4*a, -2*a = -x + 186. What is the remainder when x is divided by 31?
29
Suppose -3*u + 30 = 2*b - 2, 4*b 