= -66 + 16. Suppose -i + x*w + 2 = -11, w + 5 = 0. Let a(y) = -7*y - 24. What is the remainder when a(i) is divided by 9?
6
Suppose 13*k + 2214 - 8558 = 0. Suppose 69*j - 65*j = k. Calculate the remainder when j is divided by 62.
60
Suppose -15*n = -10*n + 130. Let k = -20 - n. Suppose 205 = k*s - 29. Calculate the remainder when s is divided by 10.
9
Let t(g) = -g**3 + 32*g**2 - 148*g + 152. Calculate the remainder when 1664 is divided by t(25).
10
Let q(c) = c**2 - 133*c - 8722. What is the remainder when q(-54) is divided by 71?
27
Suppose -2*m + m + 3*q = -76, -5*m - 5*q + 460 = 0. Suppose -98 = 3*r + m. Let l = 0 - r. Calculate the remainder when l is divided by 18.
8
Suppose -30 = 2*i - 7*i. Let a be (-5)/(-2) - (-35)/(-14). Let c(p) = 3*p**2 + 2*p + 6. Calculate the remainder when i is divided by c(a).
0
Let q(w) = -11 + 2*w**2 + 83*w - 36*w - 34*w. What is the remainder when 115 is divided by q(-8)?
11
Suppose -4*n + 301 = 3*f + 4, 0 = 2*n - 6. Suppose 3*y - 5*b - 89 = -10*b, 2*b = -3*y + f. Calculate the remainder when y is divided by -1 - (-28)/(0 + 2).
7
Let a = 153 + -151. Let c(t) = t**3 + 35. Calculate the remainder when a/(-6) - 2080/(-30) is divided by c(0).
34
Let d be 9/((-6 + 6)/3 + 3). Suppose u = d*t + 28, -t = -4*u - 3*t + 112. Calculate the remainder when 82 is divided by u.
26
Let v be ((-8)/14)/((-86)/301). Suppose 0 = 2*q + 10, v*s = 5*q + 2 + 211. Calculate the remainder when s is divided by 40.
14
Suppose 163 = 11*n - 35. Suppose -n*h = -17*h - 8. What is the remainder when 22 is divided by h?
6
Suppose -2*t + 479 = -35. Calculate the remainder when t is divided by (-5)/(-3 + 20/8).
7
Let l = 121298 - 80637. What is the remainder when l is divided by 104?
101
Calculate the remainder when -1446*(-11 + 380/60) is divided by 17.
16
Let p(f) = -f**3 - 16*f**2 + 34*f - 32. Let j = 179 - 197. What is the remainder when 30 is divided by p(j)?
2
Let a(f) = 71*f**2 + 75*f**2 + 24 + 14*f - 209*f**2 + 76*f**2. Let u = -34 + 59. Calculate the remainder when a(-2) is divided by u.
23
Suppose 0 = -41*s + 38*s + 93. Suppose -5*w - 6 = -31. Suppose 0*m = -w*m + 295. What is the remainder when m is divided by s?
28
Suppose -4*z + 0*z - 5*z = -8964. What is the remainder when z is divided by 126?
114
Suppose -7*b + 696 = 22*b. Let y(c) = c**2 - 29*c + 154. What is the remainder when 167 is divided by y(b)?
31
Suppose -4*m + 293 = o, 24 + 4 = -4*o. Calculate the remainder when 2248 is divided by m.
73
Let b(u) = u**3 + 12*u**2 - 21*u - 26. Let l be b(5). Suppose 0 = 3*n - 3*k - l, 4*n - 242 - 147 = k. Calculate the remainder when n is divided by 18.
7
Let y be 5*23*(20 + -19). Let m = y - 7. What is the remainder when m is divided by 37?
34
Calculate the remainder when 124 - (-3 - -14*(-1 + 2)) is divided by 66/4 - (-3)/6.
11
Suppose -51*r + 52*r + 4*i - 1192 = 0, 9 = 3*i. Calculate the remainder when 3549 is divided by r.
9
Let t(h) = h**3 + 22*h**2 - 89*h - 343. Calculate the remainder when 2127 is divided by t(-25).
6
Calculate the remainder when 276 is divided by (-34)/4*7560/(-2380).
6
Let z = -9 + 7. Let u be (-10 - z)*(-3 - 33/12). Suppose 4*j + i - 101 = -j, -2*j = -i - u. Calculate the remainder when j is divided by 2.
1
Let z = 25 - 15. Let b(f) = 136*f**2 + 26 - 8*f**2 - 3*f - 17 - z. Calculate the remainder when b(1) is divided by 44.
36
Suppose -2*f - 10 = 0, 5*d - 3*f = f + 40. What is the remainder when (2 - d*-9)/1 is divided by 23?
15
Let k(o) = 7*o**2 + 24*o - 2. Suppose 11*b + 5*t = 14*b - 204, 2*t + 68 = b. What is the remainder when b is divided by k(-5)?
15
Suppose -5*p - m + 35 = 0, p + 0*p - 7 = 2*m. Let d(v) = -v**3 - 5*v**2 + 17*v + 195. Calculate the remainder when d(-8) is divided by p.
6
Suppose 5*q + 154 = 18*q - 12*q. What is the remainder when 383 is divided by q?
75
Let w(f) = 2*f**3 + 171*f**2 + 85*f + 187. What is the remainder when w(-85) is divided by 35?
12
Let x = 9484 - 9493. Let y = 1 + 0. What is the remainder when (-1 - -12)*y + (x - -9) is divided by 8?
3
Suppose 28*z - 24*z - 12 = 0. Suppose 155 = z*a + 26. What is the remainder when a is divided by 6?
1
Suppose 2*w - 79 = -t, -2*t = 2*w + 32 - 112. Suppose 4*c = 7*c - w. Calculate the remainder when 166 is divided by c.
10
Let i = -33216 + 34466. What is the remainder when i is divided by 407?
29
Calculate the remainder when 1137 is divided by ((-1305)/(-21) + -3)/((-51)/(-238)).
33
Calculate the remainder when (-1)/7*-4765 + 582/2037 is divided by 172.
165
Let i = -168 - -188. Calculate the remainder when 59 is divided by i.
19
Let b(n) = n**3 + 5*n**2 - 195*n + 57. What is the remainder when b(12) is divided by 4?
1
Let m = 3748 - 3719. Calculate the remainder when 3479 is divided by m.
28
Suppose -93726 = 16*u - 290814. Calculate the remainder when u is divided by 70.
68
Let n(c) = c**3 - 21*c**2 - 85*c + 101. Calculate the remainder when n(25) is divided by 121.
113
Suppose 20*c - 20127 + 2847 = 0. What is the remainder when c is divided by 17?
14
Suppose 0 = 172*j - 8*j + 27*j - 2292. What is the remainder when 460 is divided by j?
4
What is the remainder when 13224/36*3*(1 - (-34)/4) is divided by 68?
65
Let a(c) = 5*c**3 + 6*c**2 - 3*c - 61. What is the remainder when a(5) is divided by 34?
19
Suppose -108*i + 519*i = 24660. Calculate the remainder when 186 is divided by i.
6
Suppose -724*w - 1649 = -821*w. What is the remainder when 690 is divided by w?
10
Let h(i) be the third derivative of i**5/60 + i**4/6 + 3*i**3/2 - 2*i**2. What is the remainder when h(-8) is divided by (-12 + (17 - 0))/(0 - -2 - 1)?
1
Let q(h) = 2*h - 130*h**3 - 4*h + 7*h**2 - 1 - 3 + 132*h**3. Calculate the remainder when q(-3) is divided by 4.
3
Let k(s) = -s. Let t(q) = -2*q + 8. Let u(c) = 3*k(c) - t(c). Let a be u(-6). Calculate the remainder when 23 is divided by ((-8)/12)/(a - 84/(-45)).
3
What is the remainder when 194 is divided by ((-6)/(-7) - (-5335)/(-5432))*-712?
16
Suppose 5*g = -2*k + 44, -5*g + 111 = 3*k + 35. Let z = 17 + -10. What is the remainder when k is divided by z?
4
Let a(h) be the second derivative of -h**4/12 - 17*h**3/6 - 9*h**2 - 61*h - 1. What is the remainder when 882 is divided by a(-7)?
50
Let z(q) = -q**3 + 44*q**2 - 23*q + 75. Calculate the remainder when z(43) is divided by 117.
116
Calculate the remainder when 1333 is divided by (-170)/(-8) - (91/(-26) + (-57)/(-12)).
13
Suppose -499 = -5*y + 4*a, -3*a = 4*y - 2*y - 218. Suppose 4*o - 4*t - 99 = 5, -3*o = 5*t - 38. Calculate the remainder when y is divided by o.
19
Suppose 5*p + 0*h + h - 25 = 0, 2*p = -4*h - 8. Suppose -p*y + 67 = 7. Let f(a) = -a**3 - 4*a**2 - 2*a + 7. What is the remainder when f(-4) is divided by y?
5
Suppose -2*s - 447 = -3*i, -26*i + 28*i = -s + 291. Calculate the remainder when i is divided by 66.
15
Calculate the remainder when 0 + 2980/3 - ((-1155)/(-63) - 18) is divided by 209.
157
Let n be ((-6)/24)/1 - (-193)/4. Suppose 31 = c - 4*m, -4*c + n = 9*m - 6*m. Calculate the remainder when 101 is divided by c.
11
Let q be (-9)/(-7)*378/162. Suppose -247 = -4*z - 2*h + 21, q*z - 2*h = 194. What is the remainder when z is divided by 23?
20
What is the remainder when (2/((-40)/36))/(84/(-107660)) is divided by 165?
162
What is the remainder when 1 - 16/(48/(-765)) is divided by 29?
24
Let m = 2078 - 2062. What is the remainder when 1037 is divided by m?
13
Let g be (4*(-3)/14)/((-21)/98). Suppose -173 = -u - g*k, 3*k + 67 + 71 = u. Calculate the remainder when u is divided by 7.
6
Let w(d) = -22*d + 10. Let b be (-5)/2 - (-55)/10. Let m be w(b). Let f = m - -235. Calculate the remainder when f is divided by 60.
59
Suppose -7*f + 62 = -57. Let k be (-115)/10*(-3 + 1). Suppose -4*s = -k - 1. What is the remainder when f is divided by s?
5
Let j(c) be the second derivative of -19*c**5/20 + c**3/6 - c**2/2 - 24*c. What is the remainder when j(-2) is divided by 19?
16
Suppose -4*v - 8 = 0, -5*v = 13*o - 16*o - 839. Let w = o + 472. Calculate the remainder when w is divided by 51.
36
Suppose 0*f - y = 2*f + 17, -y = 5. Let g(n) = -19*n - 9. Let c be g(f). What is the remainder when 22 is divided by -1 + (-10)/(-8) + c/12?
4
Suppose -236 = -2*a + 5*k - 38, k = 3*a - 271. Calculate the remainder when 694 is divided by a.
71
What is the remainder when 5364*