3*z - 1676. What is the remainder when v(13) is divided by 6?
5
Suppose 3*a = 6, -2*b + 97*a = 94*a - 68. What is the remainder when 936 is divided by b?
11
Suppose 5*i - 270 = -0*i. Suppose -2*v - 4*g = -i, -v - 3*v - 3*g = -113. What is the remainder when 172 is divided by v?
27
Suppose 5*a = o + 290, 4*a + o - 131 = 110. Suppose 4*h = 12*h - 16. What is the remainder when a is divided by (-20)/6*(-9)/h?
14
Let v(c) = 9*c**3 - c**2 - 17*c + 30. What is the remainder when v(6) is divided by 115?
111
Let m = 211 - 122. Suppose 66*i - 984 = 1830 - 834. Calculate the remainder when m is divided by i.
29
Suppose -5*u + 5 = s - 2*s, 2*u - 5*s = 25. Suppose u = 2*c - 8 - 10. Calculate the remainder when c is divided by -2 + 8/(1 - -1).
1
Suppose -4*z - 3*a + 11 = -8*z, 5 = -4*z + 5*a. Suppose 2*i = 3*n + 44, 0 = 3*i + 5*n + 107 - 173. Calculate the remainder when i is divided by 25/z*(-8)/5.
6
Suppose 5*t - 43*t + 378533 = 89011. Calculate the remainder when t is divided by 33.
29
Suppose -2*i = -7*i - 2*m - 653, -2*i = m + 262. Calculate the remainder when (32/(-6))/(-4) - 12341/i is divided by 33.
31
Let p be ((-36)/(-27))/((-6)/(-45)). Let v = 29 - p. Let k(a) = a**3 + a**2 - 8*a + 6. Calculate the remainder when k(4) is divided by v.
16
Let t(u) = -223*u**3 - u**2 + 37*u + 28*u**2 - 3*u**2 + 222*u**3 - 37 - 7*u. Calculate the remainder when 790 is divided by t(25).
86
Let a(k) = 18*k**2 + 2*k + 10. Suppose 3*q - 4*q = 0. Suppose q = -7*h + 3*h + 116. What is the remainder when h is divided by a(0)?
9
Let b(p) = 8*p**3 + 3*p**2 - p - 9. Let l be b(3). Suppose 99 = -11*j + l. Calculate the remainder when 129 is divided by j.
9
Let h = 469 - 465. Suppose -20 = -4*c + h*z + 56, 44 = 2*c - 4*z. What is the remainder when 89 is divided by c?
9
Suppose -28*j - 3838 + 4902 = 0. Calculate the remainder when 1 - -1 - -148*1 is divided by j.
36
Suppose 5*j = -2*i + 9533, 8*j - 1910 = 7*j + 3*i. What is the remainder when j is divided by 380?
7
Let c = 0 - -9. Let w = 20216 + -20216. Suppose o - c*o + 152 = w. What is the remainder when 35 is divided by o?
16
Suppose -871*p + 884*p - 2262 = 0. What is the remainder when p is divided by 5?
4
Let q = 1098 + -1557. Let f = -424 - q. What is the remainder when 167 is divided by f?
27
Let f = -8215 - -8599. Calculate the remainder when f is divided by 164.
56
Let u(j) = -29*j - 142. Calculate the remainder when 284 is divided by u(-6).
28
Suppose -v + 72 = d, -5*d + 5 = 25. Suppose j - 63949 = -63909. What is the remainder when v is divided by j?
36
Let v = -25986 + 26308. Calculate the remainder when v is divided by 28.
14
Suppose -44*w = -96644 + 86656. Suppose -p - 5 = -28. What is the remainder when w is divided by p?
20
Suppose 87*n - a + 149 = 92*n, 2*n = 2*a + 62. What is the remainder when n is divided by 13?
4
Suppose 3*m - 11*m + 16 = 0. Suppose -3*l + 531 = 7*g - 4*g, -326 = -m*g + 5*l. Calculate the remainder when g is divided by 22.
19
Let o = -95 + 107. Let l(v) be the second derivative of v**5/20 - 7*v**4/6 + 4*v**3 + 7*v**2 - v. What is the remainder when l(o) is divided by 4?
2
Let y(q) = -q + 15. Let k be 2/1 - (-5 + 0 + -4). Let z be y(k). Suppose -z*t + 108 = 5*t. Calculate the remainder when 94 is divided by t.
10
Suppose 5*p - 2095 = -5*c, 0 = 2*c - 5*c - 6*p + 1257. What is the remainder when 2118 is divided by c?
23
Let n = -1919 - -2001. What is the remainder when 377 is divided by n?
49
Let b(w) = -w**3 - 8*w**2 + 14*w + 6. Let m be b(-10). Suppose 32*u + 769 = -671. Let y = u + m. What is the remainder when 38 is divided by y?
17
What is the remainder when (-8 - -7)*-624 + -7 + 11 is divided by 160?
148
Suppose 9*d - 398 = -12*d + 1576. What is the remainder when 562 is divided by d?
92
Let b(x) = 159*x**3 + 10*x**2 - 10*x. Let t be b(1). Let p = t + -56. Calculate the remainder when p is divided by 41.
21
Let u(g) = 50*g - 2121. What is the remainder when u(62) is divided by 8?
3
Suppose 13 = -2*y + 79. Calculate the remainder when 14148/1296*4*3 is divided by y.
32
Suppose -4*c = i - 2289, -c + 446 = -3*i - 110. What is the remainder when c is divided by 133?
39
Let i = -800 - -1421. Suppose -4*y = -4*c - 516, 3*c - i = -12*y + 7*y. Calculate the remainder when y is divided by 43.
40
Let w(v) = -15*v - 1916. What is the remainder when 507 is divided by w(-145)?
248
Let k(n) = 2*n**3 + 2*n**2 - 8*n + 1. Suppose 1131*l - 1130*l - 2 = 0. What is the remainder when 65 is divided by k(l)?
2
Let k = 16957 + -24922. Calculate the remainder when 84 is divided by k/(-345) - 2/23.
15
Suppose 6*d = 2707 - 217. Suppose -2*s = 3*g - d, 574 + 296 = 4*s - 2*g. What is the remainder when s is divided by 31?
29
Let d(k) = -k - 2. Let j be d(-6). Suppose 10*n - 5906 = -5906. Suppose n = j*y - 0*y - 360. Calculate the remainder when y is divided by 47.
43
Suppose 3*c = 2*q - 37, 257*c + 38 = 3*q + 255*c. Calculate the remainder when 382 is divided by q.
6
Let g(z) = 4*z + 25. Let j(d) = 4*d + 27. Let l be j(-6). What is the remainder when 52 is divided by g(l)?
15
Suppose 64828*t + 103884 = 64850*t. What is the remainder when t is divided by 105?
102
Calculate the remainder when 177 is divided by (-3591)/(-126) - 3/6.
9
Suppose -4*i - y + 207 = 0, i - y - 49 = 9. Calculate the remainder when i is divided by 21.
11
Suppose 4*l + 845 = z, -18*z + 15*z = 5*l - 2501. Calculate the remainder when z is divided by 24.
21
Calculate the remainder when 8115 is divided by (-498)/(-14) - 1476/574.
30
Suppose 20 = -23*m + 13*m. Calculate the remainder when m + ((-1060)/(-8))/(2/4) is divided by 45.
38
Suppose 0 = -14*t + 10*t + 4, -5*t = -m + 60. Calculate the remainder when 132 is divided by m.
2
Let x = -183 + 209. Suppose 0 = x*r - 20*r - 144. What is the remainder when 113 is divided by r?
17
Let b be (3 + (-11)/3)*-291. Let t = -181 + b. Calculate the remainder when 100 is divided by t.
9
Let w(a) = -a + 12. Let c(j) = j - 23. Let t(f) = -2*c(f) - 5*w(f). Let h be t(11). Suppose h*i - 20*i = -15. What is the remainder when i is divided by 4?
3
Suppose 4*q + 5*r - 14 = 3*r, -3*q = -2*r - 7. Let a = -1429 - -1434. Calculate the remainder when 9 + (-15)/q + 3 is divided by a.
2
Let b = -23971 + 24140. Suppose 3*o - 12 = 60. Suppose 0 = 2*x - c - 13 - o, 3*x - 42 = -3*c. What is the remainder when b is divided by x?
16
Let j = 15 - 10. Suppose 29 - 169 = -j*a. Suppose 3*v - 1008 = -3*f - 1005, 20 = -5*v. Calculate the remainder when a is divided by f.
3
Suppose -341*h + 550182 = -59*h. Calculate the remainder when h is divided by 31.
29
Suppose 9*w - 466 = 488 + 171. What is the remainder when w is divided by 95?
30
Let k = -967 - -998. Suppose 288 = 5*u - 137. What is the remainder when u is divided by k?
23
Suppose -s + 2*u - 44 = -4*s, 5*s - 5*u = 115. Let m(i) = 2*i + 67. Suppose a = 4*a. What is the remainder when m(a) is divided by s?
13
Let w = 128 - 132. Calculate the remainder when 118 is divided by (-31)/w - (-3)/(-48)*-4.
6
Suppose 15*k - 12*k - 4*m + 741 = 0, -2*k = -m + 494. Let h = k + 290. What is the remainder when 213 is divided by h?
41
Let q(a) = -a**2 + 30*a + 218. What is the remainder when q(30) is divided by 13?
10
Let b(y) be the first derivative of -3*y**4/4 - y**3/3 + y - 1. Suppose -383 + 163 - 214 = -31*p. What is the remainder when b(-2) is divided by p?
7
Let o(g) = -5*g**3 + 5*g**2 + 8*g + 3. Let y = 539 + -541. Calculate the remainder when 422 is divided by o(y).
46
Let b(v) = 32*v**2 - v. Let f(s) = -10*s - 19. Suppose -2*x - 1 - 27 = 0. What is the remainder when f(x) is divided by b(1)?
28
Suppose 0 = -4*j - 0*i + i + 819, -5*j + i + 1025 = 0. Let l = j + -125. Suppose 9*v - 351 + l = 0. What is the remainder when 59 is divided by v?
29
Calculate the remainder when ((-366)/9)/(-24 + (-81168)/(-3384)) is divided by 87.
83
Let o(s) = -s**3 + 17*s**2 - 55*s + 42. What is the remainder when 413 is divided by o(12)?
5
Let s(c) = -28*c + 161 - c**2 - 124 - 75. Calculate the remainder when s(-19) is divided by 15.
13
Let f = 9 - 2. Suppose f*i - 1869 = -0*i. Suppose 10*q - 13*q + i = 0. What is the remainder when q is divided by 23?
20
Let s be 974/6 - 30/(-45). Suppose 80 = 167*o - s*o. What is the remainder when 39 is divided by o?
19
What is the remainder when (-197)/1182 + 1/(