v + 58. Let u be a(-13). Suppose -u*m + 31*m - 372 = 0. What is the remainder when 52 is divided by m?
21
Let v(z) = z**3 + 29*z**2 + 28*z + 11. Let n = -245 + 419. What is the remainder when n is divided by v(-28)?
9
Let z = 42 + -34. Suppose -5 = 5*j, -k - 4*j = 3*k - z. Suppose k*i + 57 = 6*i. Calculate the remainder when 54 is divided by i.
16
Suppose 48 = d - 13. Let f be (-36509)/(-66) + (-2)/(15 - 3). Suppose 2*x = 615 - f. Calculate the remainder when d is divided by x.
30
Let m(v) = -3*v**3 - 37 + 5*v + 6*v**3 + 2 - 5*v**2 - v**3. Calculate the remainder when m(4) is divided by 29.
4
Suppose -53 = -0*w - w. Suppose -2*k + 466 = 3*o, -2*o = -39*k + 40*k - 310. Calculate the remainder when o is divided by w.
48
Let u be (12/(-16))/(12/(-160)). Suppose u*p + 75 = 335. What is the remainder when p is divided by 15?
11
Let c = 26 - 6. Let v(q) be the first derivative of 7*q**2/2 - 16*q - 41. Calculate the remainder when v(13) is divided by c.
15
Suppose 2*r + d = 29, 0 = -4*r + 3*r - 3*d + 7. Let c be ((-112)/(-3))/8*78. Suppose 0 = l - 14*l + c. Calculate the remainder when l is divided by r.
12
Let z(j) = j**3 - 6*j**2 - 9*j + 9. Let r be z(7). Let i(g) = -g**2 - 6*g - 4. Let p = 373 + -371. What is the remainder when p is divided by i(r)?
0
Let z be -6*(20/6 - 4). Suppose 4*g = -3*s - 87, -9*g = -z*g - 2*s + 126. What is the remainder when (-125)/(-2)*(g/(-5))/2 is divided by 38?
36
Suppose 0 = 5*g + 75 - 15. What is the remainder when (g/9)/(4/(-858)) is divided by ((-3072)/(-320))/(2 - (34/(-20))/(-1))?
30
Let q(m) = 2*m + 7. Let i(p) = -p - 7. Let s(z) = -5*i(z) - 4*q(z). What is the remainder when 37 is divided by s(-2)?
11
Let o(u) = -3*u**2 - 50*u. What is the remainder when 811 is divided by o(-15)?
61
Let s = -1298 + 1499. What is the remainder when s is divided by 61?
18
Suppose 41*p - 536 - 79 = 0. Let t(o) = 8*o + 3. What is the remainder when t(5) is divided by p?
13
Let g = 4356 - 4312. Calculate the remainder when g is divided by (-3 + -2*12)*-1.
17
Suppose -116*w = -66*w - 400. Let r = -69 - -106. Suppose u - r = -z, 0 = 5*z - 3*u + u - 192. What is the remainder when z is divided by w?
6
Let g(p) = -745*p - 2449. Calculate the remainder when g(-38) is divided by 111.
109
Suppose -16*j + 12595 = -861. Let i = -748 + j. What is the remainder when 369 is divided by i?
90
Suppose -2*h - 3*y + 62 = 0, 2*y = -4*h + y + 104. Suppose 4*r + 26 + 359 = 3*v, 631 = 5*v - 4*r. Calculate the remainder when v is divided by h.
23
Suppose 11*b - 80000 = -6*b - 8*b. Calculate the remainder when b is divided by 6.
2
Let o(z) = 46*z - 865. What is the remainder when 36 is divided by o(19)?
0
Suppose -128 = -4*a + 6*z, -3*a - 7*z = -11*z - 92. What is the remainder when 467 is divided by a?
7
Let m = -1463 - -1542. What is the remainder when 783 is divided by m?
72
Suppose 6090 = 42*d - 672. Calculate the remainder when 561 is divided by d.
78
Suppose -4*g = 2*z - 44 - 42, 2*g - 178 = -4*z. Suppose 0 = z*n - 46*n - 5*k + 13, 65 = 2*n - 3*k. What is the remainder when 76 is divided by n?
20
Let f(m) = -m**2 - 16*m - 6. Let s(u) = -u**3 - u + 82. Let d(z) = -z**3 + 2*z**2 - z. Let g be d(1). What is the remainder when s(g) is divided by f(-14)?
16
Let f(u) be the third derivative of u**5/60 + 7*u**4/12 + 2*u**3 + 14*u**2. Let v = -441 + 456. What is the remainder when f(-16) is divided by v?
14
Let b be (-1379)/(-91) + (-2)/(-39)*-3. Suppose b*c - 18*c = 1293. What is the remainder when 68 is divided by c/(-11) + 18/(-99)?
29
Suppose 22*g - 13*g - 486 = 0. Let t = 102 + -84. Suppose -4*u - 266 = -t*u. What is the remainder when g is divided by u?
16
Let j(d) = 2*d**3 + 6*d**2 - 16*d + 246. Calculate the remainder when j(0) is divided by 8.
6
Suppose -a - 3*t + 43 = 0, 4*a - 89 - 167 = 2*t. Let q(s) = s**3 - 2*s**2 + 2*s + 1. Calculate the remainder when a is divided by q(3).
13
Suppose -9 = -2*k - 4*u - 1, 5*u = -3*k + 10. Suppose 4*a = -k*a + 12. Calculate the remainder when 47 is divided by a*3/1 - (1 + 1).
5
Suppose 1617 = -2*i + 2273. What is the remainder when i is divided by 166?
162
Let i = 77 + -20. Let d(g) = -15*g + 100. Let p be d(-8). Let b = 250 - p. What is the remainder when i is divided by b?
27
Let l(z) = 7*z**2 - 116*z - 160. Calculate the remainder when l(38) is divided by 17.
15
Suppose 5*y = 2*g - 68, 0 = y + 38 - 36. Suppose -32*a + g*a + 162 = 0. What is the remainder when a is divided by 20?
14
Let b = 133 - 28. Let o = -544 - -556. Let f(c) = c**2 - 10*c + 3. Calculate the remainder when b is divided by f(o).
24
Let y = 19 - 25. Let t be -2 + (3 + y - (-40)/1). Suppose f - t = -2*j, -34 - 22 = -3*j - 5*f. What is the remainder when 31 is divided by j?
14
Calculate the remainder when ((-2)/(42/(-175)))/(6/72) is divided by 89.
11
Let o be ((-18)/(-3))/2 - 0. Suppose o*h + 4*j - 57 = 0, 95 = -h + 6*h + 2*j. What is the remainder when (4/2 - (-53 + -4 + -11)) + 3 is divided by h?
16
Let z = 25214 + -10866. What is the remainder when z is divided by 50?
48
Let b(t) = -6*t + 21. Let c be b(25). Let i = -98 - c. Calculate the remainder when 41 is divided by i.
10
Let c(b) = 108*b**2 + b. Let l be c(-1). Let w = l - 73. Let f = 225 - 92. What is the remainder when f is divided by w?
31
Let u = 106 - 100. Suppose -3*o - u = -6*o, -l = 4*o - 30. What is the remainder when 256/6 - 1/(-3) is divided by l?
21
Let n = -17 + 105. Suppose 2*w - 3*w + 4*j + 18 = 0, -3*w + 26 = 2*j. Calculate the remainder when n is divided by w.
8
What is the remainder when 225 is divided by (-58)/(-15 - (-27 - -13))?
51
Suppose 131 = 6*a - 43. Suppose 0*f = f - 3*u + 13, u + a = -3*f. Let o(q) = -11*q - 52. What is the remainder when 230 is divided by o(f)?
56
Suppose u = 2*u - 42. Suppose 152*q + 80 = 992. What is the remainder when u is divided by q?
0
Suppose -123*g + 11*g = -220752. What is the remainder when g is divided by 17?
16
Suppose 251*x + y - 305 = 249*x, 5*x - 4*y - 756 = 0. What is the remainder when 218 is divided by x?
66
Let v(z) = -2*z + 37. Let u be v(16). Suppose t = -u, 3*f + 1 = -2*t - 3*t. Let w(m) = 7*m - 1. Calculate the remainder when w(8) is divided by f.
7
Suppose 4*i - 2 = 10, -2*n = -4*i - 18. What is the remainder when n is divided by 12?
3
Suppose 0 = 322*z - 3860248 - 1452108. What is the remainder when z is divided by 66?
64
Suppose 10*j - 444 - 36 = 0. Let x = 46 - j. Calculate the remainder when (-142)/x + (-2)/(-4)*-2 is divided by 19.
13
Let k = -11368 + 11864. Calculate the remainder when k is divided by 101.
92
Let x(v) = -v**3 - 12*v**2 - 11*v + 4. Let f be x(-11). Let g(o) = 43 - 74 - o + o**2 + 43. Calculate the remainder when 71 is divided by g(f).
23
Let p(w) = -w**2 + 27. Let u be p(5). Suppose u*k + 18*k = 1740. Suppose 7*x - 221 = k. Calculate the remainder when 219 is divided by x.
43
Let s be 6*-2*3/4. Let u(a) = a**2 + 10*a + 11. Let h be u(s). Suppose -5*i - 3*g = -g - 49, h*g = -2*i + 22. What is the remainder when 25 is divided by i?
7
Let b(g) = -65*g**3 - 35*g - 5 - 18*g**2 + 66*g**3 + 55*g. Calculate the remainder when 183 is divided by b(17).
45
Suppose -187*g + 9540 = -28*g. Let f = 58 - 36. What is the remainder when g is divided by f?
16
Let s(d) = -2*d**3 + 25*d**2 + 7*d - 2. Let g(u) = 10*u**3 - 101*u**2 - 28*u + 8. Let o(c) = 2*g(c) + 9*s(c). What is the remainder when o(-11) is divided by 5?
2
Suppose 4*b - 628 = g, 3*b - 83*g + 80*g - 462 = 0. Let j(k) = 2*k**2 + 12*k + 12. What is the remainder when b is divided by j(-8)?
26
Let m(b) = b**3 - 15*b**2 - 79*b + 116. Let s = 23 - 13. Calculate the remainder when m(19) is divided by s.
9
Suppose 4*w = 2*a - 5*a + 38, a - 4*w + 14 = 0. Let f = -172 - -188. What is the remainder when f is divided by 7 - 4/(-8)*a?
6
Calculate the remainder when 591 is divided by (-2)/((-11)/2 - -5).
3
Let l be 11 + (-3 - 6) - 14*-2. Suppose l*s = 207 + 33. Let w = 0 - -6. What is the remainder when s is divided by w?
2
Suppose 0*y = y - 16. Let m = y - 5. Suppose j - 7*c - 115 = 0, 5*j + 42*c = 40*c + 538. Calculate the remainder when j is divided by m.
9
Suppose 342 = 7*w + 377. What is the remainder when 34 is divided by 2 - (w + -6 + 6)?
6
Suppose 600 = 3*c - 2*m - m, 0 = m - 2. Suppose 11*i - 549 + 116 + 114 = 0. Calculate the remainder when c is d