a.
1
Let g(f) = -f**2 - 6*f + 17. Let p be g(-7). What is the remainder when 37 is divided by (p/7)/(3/21)?
7
Let x(c) = c - 10. Let s be x(12). Calculate the remainder when 82 is divided by s - (-15 - -4) - -1.
12
Let n(r) = -18*r - 44. Let s(u) = -u**3 + 9*u**2 - 2*u - 2. Calculate the remainder when s(8) is divided by n(-3).
6
Calculate the remainder when 10 is divided by 1 - 9 - (-465)/31.
3
Suppose -9*v + 327 - 21 = 0. Let y = -21 + v. Let t(d) = d**2. What is the remainder when y is divided by t(2)?
1
Let g(p) = 4*p**2 - p - 36. Let k = -80 + 75. Calculate the remainder when g(k) is divided by 14.
13
Let l = 438 + -129. Suppose 5*p + 3*m + m - l = 0, 5*p - 4*m - 301 = 0. What is the remainder when p is divided by 21?
19
Let g be 21/6 - 2/(-4). Suppose -g*d = -9*d + 60. Calculate the remainder when 163/5 + (-12)/(-30) is divided by d.
9
Let s = -38 - -56. Let q(z) = z**2 - 3*z - 6. Let c(g) = g**2 - 4*g - 6. Let b(i) = 3*c(i) - 2*q(i). Calculate the remainder when b(10) is divided by s.
16
Calculate the remainder when 75 is divided by 248/310 - 21/(-5).
0
Let f(s) = -2*s**2 + 36*s - 105. What is the remainder when 94 is divided by f(11)?
45
Suppose 5*d = -2*f + 238, -30 = -2*f + 2*d + 180. Let w = f + -79. Calculate the remainder when w is divided by 17.
13
Let l = -39 + 59. Suppose 2*i + 5*s + 21 = 0, 4*i + 3*s = -s - 12. Suppose 0 = i*n - 10 - l. What is the remainder when 57 is divided by n?
12
Let b = 2 + 14. Suppose -y - 3*y + 48 = 5*w, -4*w + 36 = 2*y. Suppose b = 2*k - 2*a, 0*a - 4*a = w. What is the remainder when 27 is divided by k?
3
Let n(t) = 13*t**2 + 40*t - 144. What is the remainder when n(13) is divided by 66?
65
Suppose 2*z + j = 4*j + 34, 61 = 3*z - 2*j. Suppose -4*u = -3*a + 2*a - 4, -z = -a - 5*u. Calculate the remainder when 30 is divided by a.
6
Let n = 80 - -20. Calculate the remainder when n is divided by 27.
19
Suppose 3*x - 220 = -2*x. Suppose 0*j = -4*j + 344. Calculate the remainder when j is divided by x.
42
Let c be 150/42 - (-6)/14. Let w = c + 10. Calculate the remainder when 67 is divided by w.
11
Let p(m) = 4*m**3 - 4*m**2 + 2*m - 2. Suppose -6*o = -5*o + h - 20, -4*o + 88 = -4*h. What is the remainder when p(3) is divided by o?
13
Suppose 11*s - 63 = 8*s. Suppose s = -n + 24. Suppose -2*g = -5*i - 4*g + 23, 2*i - 5*g + 14 = 0. What is the remainder when i is divided by n?
0
Suppose 0 = 29*x + 21798 - 102099. What is the remainder when x is divided by 84?
81
Let z(t) = 2*t + 1. Suppose f + 11 = 5*q + 26, 0 = -5*q - 15. Let p be z(f). What is the remainder when 6*4/8*p is divided by 2?
1
Let s(p) = -217*p**2 + 0*p - p + 13 + 219*p**2. Let v = 34 - -15. Calculate the remainder when v is divided by s(0).
10
Let w(f) = 4*f**3 - 3*f**2 - 1. Let x be (-12)/(-4) - (-4 - -4). Let d be w(x). Let l = d + -6. Calculate the remainder when l is divided by 19.
17
Let b be ((-6)/14 - (-136)/(-42))*-3. What is the remainder when 34 is divided by 6/33 - (-108)/b?
4
Let l(h) = -h**3 + 24*h**2 - 41*h - 33. What is the remainder when (-2)/9 + 1145/9 is divided by l(22)?
28
Let m(r) = -6*r - 9. Let b(t) = 2 + 7*t + 0*t**2 - 5*t**2 + 4*t**2. What is the remainder when m(-6) is divided by b(6)?
3
Suppose -54 - 663 = -3*g. Calculate the remainder when g is divided by 20.
19
Suppose 0 = -5*t + 156 - 21. Suppose -5*y - 43 = -253. Suppose -3*x + y = -0*x. Calculate the remainder when t is divided by x.
13
Let i = 234 - 220. What is the remainder when 265 is divided by i?
13
Suppose -j + 5 = 3*y, 5*y = -j - 0*y + 5. Suppose -30 = j*w - 4*l, -w + 4*l - 26 = 2*w. Calculate the remainder when 11 is divided by (-255)/(-35) - w/(-7).
4
Let u = -42 + 84. Let g(a) = a + 1. Let j be g(0). Suppose k + j = u. Calculate the remainder when k is divided by 11.
8
Suppose 0 = -2*g - 58 + 468. Suppose 0 = g*t - 202*t - 78. Calculate the remainder when t is divided by 17.
9
What is the remainder when (-1)/(-2) - (-14540)/40 is divided by 73?
72
Let v = -67 + 28. Let l = -22 - v. Suppose 2*w + 29*w - 2604 = 0. What is the remainder when w is divided by l?
16
Let i = -21 - -40. Suppose 186 = 5*o + g, -o + 36 = -2*g + g. What is the remainder when o is divided by i?
18
What is the remainder when 32 is divided by 3/1 + -10*(-12)/15?
10
Suppose -a - 252 = -3*r, a = -3*r + 17 - 293. Let l be a/(-56) - (-2)/7. Suppose l*n - 461 = -136. What is the remainder when n is divided by 17?
14
Suppose 2*g - 51 = o - 58, -g + 46 = 5*o. Calculate the remainder when 14 is divided by o.
5
What is the remainder when -2 + 47 + 3 + 2 is divided by 89/7 + 6/21?
11
Suppose u = -51 + 52. Let g = 0 - 0. Suppose g = a - u - 6. What is the remainder when 26 is divided by a?
5
Calculate the remainder when (-12)/660*10 + 4105/11 is divided by 8.
5
Let x be (5/(-20))/(1/4) - -6. Suppose -x*r = p - 212, -3*r - p = 3*p - 134. Calculate the remainder when r is divided by 22.
20
Let c(v) = -v**2 - 15*v - 2. Suppose n + 3*n + 52 = -3*o, 3*n = -12. What is the remainder when c(o) is divided by 20?
14
Let q be (-1 - 1) + -1 + (7 - -134). What is the remainder when 54 is divided by 8/28 - q/(-7)?
14
Let s(p) = 2*p**2 + 17*p - 150. Calculate the remainder when 446 is divided by s(-15).
41
Suppose -16*o + 13*o + 12 = 0. Let k be 2 + (1 - 7)*1. What is the remainder when -6 + 7 - 1*k is divided by o?
1
Let b(m) = m**2 - 4*m - 11. Let f be b(-4). Calculate the remainder when 19 - f - 1*-9 - 0 is divided by 3.
1
Let p be (-1 + -2)*14/(-21). Suppose 0 = -2*b - p - 0. Calculate the remainder when 41 + (b + 3 - 4) is divided by 10.
9
Let i be 30 + -29 - -548*1. Suppose 9 = -18*j + i. What is the remainder when 87 is divided by j?
27
Suppose -415*u + 413*u = -10. Let n(x) = -6*x**2 + x - 1. Let z be n(-2). Let v = -19 - z. Calculate the remainder when v is divided by u.
3
What is the remainder when 68 is divided by 2/3*1035/((-90)/(-6))?
22
Let u = -70 + 91. Calculate the remainder when (-470)/4*16/(-10) is divided by u.
20
What is the remainder when (-3570)/126*(33/(-1) - 0) is divided by 52?
51
Let y(i) be the third derivative of i**5/12 + i**4/8 - 2*i**3/3 + 32*i**2. Calculate the remainder when y(-2) is divided by 3.
1
Suppose 0 = 5*t + m - 3326, 0 = -5*t - 3*m + 1181 + 2147. Suppose -5*p - t = -10*p. What is the remainder when 8/20 + p/5 is divided by 7?
6
Let t(m) = m**2 - 7*m - 25. Calculate the remainder when 135 is divided by t(12).
30
Let p = 134 - 128. What is the remainder when 37 is divided by p?
1
Suppose 9 = 3*s + 5*i, s - 3*i = -i + 3. Suppose -n = -0*n - s. What is the remainder when (-9)/((1 - n) + 1) is divided by 5?
4
Calculate the remainder when 121 is divided by -3 + 14/5 - 1313/(-65).
1
Let i(z) = -3*z**2 + 29*z + 34. Calculate the remainder when 886 is divided by i(10).
22
Let f = -1032 - -1069. Calculate the remainder when f is divided by 8.
5
Let x = 65 + -60. Suppose 36 = -x*j + 6*j. What is the remainder when 105 is divided by j?
33
Let m = -122 + 188. What is the remainder when 159 is divided by m?
27
Let t(j) = -12*j + 51. Let q be t(5). Let v(i) = -7*i - 17. Suppose 4*a = 2*a + 24. Calculate the remainder when v(q) is divided by a.
10
Suppose 2887 = 24*b - 2129. What is the remainder when b is divided by 21?
20
What is the remainder when -58 - -59 - 188*-1 is divided by 48?
45
Let g = 173 - 114. What is the remainder when g is divided by (-16 - -13)*64/(-12)?
11
Suppose -44 = -t + 3*j, -4*j + 220 = 16*t - 11*t. Calculate the remainder when 126 is divided by t.
38
Calculate the remainder when (-4)/(-20) - (-1058)/10 is divided by 18.
16
Let a(d) = -d**3 + 16*d**2 + 23*d - 28. Calculate the remainder when a(17) is divided by 26.
22
Let l(b) = b**3 + 9*b**2 - b - 27. What is the remainder when l(-5) is divided by 18?
6
Let a(s) = s**3 - 9*s**2 - 10*s + 6. Let z be a(10). Suppose -z*x + 2*x - 332 = 0. What is the remainder when (1*x)/(3 + -4) is divided by 21?
20
Suppose -1170 = 8*j - 18*j. What is the remainder when j is divided by 17?
15
Suppose 3*f + f = 1960. Suppose -208 = -2*m + 2*g, g - f = -5*m + 12. Calculate the remainder when m is divided by 26.
23
Let c(y) = -57*y + 1. Let q be c(1). Let w be 95 + -16 + 3 + 1. Let b = w + q. What is the remainder when 51 is divided by b?
24
Let s = -34 - -29. Calculate the remainder when 18/30 - 112/s is divided by 5.
3
