5
Suppose m + 3*c - 68 = 0, 23*c = 2*m + 25*c - 148. Calculate the remainder when 443 is divided by m.
58
Suppose 375 = 5*b - 5*c, -2*c = -11*b + 10*b + 69. What is the remainder when b is divided by 34?
13
Calculate the remainder when (2/46 + 33180/14490)/((-1)/(-252)) is divided by 32.
12
Calculate the remainder when 4 - ((-4)/(-12) + (-9005)/15) is divided by 205.
194
Let c(x) = 18*x**2 - 2*x - 1. Let z = 119 - 235. Let s = z - -208. Calculate the remainder when s is divided by c(-1).
16
Suppose 2*p - 46*p = -10355 + 3535. Calculate the remainder when 1069 is divided by p.
139
Calculate the remainder when (-11 + (-299)/(-26))/(1/766) is divided by 128.
127
Let b be 6/((-1)/7*-7). Suppose 0 = -3*v + 2*p + 212, -4*v + b*v - 4*p - 152 = 0. Calculate the remainder when v is divided by 29.
10
Let o be (-2 - 1)/(-1) + 44 + -51. Calculate the remainder when (((-15792)/(-9))/(-14))/(o/6) is divided by 32.
28
Suppose -24*z = 126*z - 407455 + 51655. What is the remainder when z is divided by 15?
2
Let o(y) = y**3 + 2*y**2 + 11*y - 5. Let k(r) = -68*r**2. Let p be k(-1). Let f = p - -102. What is the remainder when o(4) is divided by f?
33
Let g(u) = -2*u**2 - 99*u + 743. Calculate the remainder when 31409 is divided by g(-56).
14
Let h(w) = 28*w**2 - 22*w + 44. Calculate the remainder when h(3) is divided by 48.
38
Let u(n) = -149*n + 18 + 2*n**2 + 83*n - 2*n**2 - 2*n**2. Calculate the remainder when 34 is divided by u(-33).
16
Suppose -10*t - 602 = 118. Calculate the remainder when 189 is divided by 264/14 - (t/63)/8.
18
Let w(x) = -x**3 - 22*x**2 - 92*x + 9. Suppose -r + 22 = -2*n - 15, 4*n = 5*r - 173. Calculate the remainder when w(-17) is divided by r.
29
Let i = 2721 + -2640. What is the remainder when 439 is divided by i?
34
Suppose 5*x + 2*z - 15 = 0, -x + 3 = 3*z - 0*z. Suppose 0 = -4*r + 6*r. Suppose r = 2*y - 5*y + 3. Calculate the remainder when x is divided by y.
0
Suppose -4*q = 0, -4*q - 48 = -0*h - 4*h. Calculate the remainder when 10/(-4) - (-5307)/122 is divided by h.
5
Let j(d) = 2*d**3 + 117*d**2 - 57*d + 175. What is the remainder when 187 is divided by j(-59)?
16
Let x(r) = -3*r - 105. Let c be x(-35). Suppose 3*s + 13*s - 2608 = c. What is the remainder when s is divided by 33?
31
Let u be 1 + 1340/(-6) + 14/(-21). Let f = u - -261. Calculate the remainder when 137 is divided by f.
23
Let k(j) = -6*j**2 + 79*j - 40. What is the remainder when 1093 is divided by k(4)?
13
Let i be 1070 - 4 - -2 - -1. Suppose -7*u + 611 + i = 0. Calculate the remainder when u is divided by 49.
44
Let j(d) = -d**3 - 3*d**2 + 105*d - 1. Suppose 4*n - 16 = 0, -3*q - 2*n = q - 32. What is the remainder when j(-12) is divided by q?
5
Suppose -2*g + 6*g - 2*g = 0. Suppose a + 4*w = 3*w + 121, -3*a - 4*w + 362 = g. Calculate the remainder when a is divided by 25.
22
Let f = 402 + -18. Suppose -f = -2*t + d + 27, -3*t - 2*d = -627. What is the remainder when t is divided by 11?
9
Let c be -10 - (3/5 - (-418)/95). What is the remainder when -5*((-588)/c)/(-4) is divided by 13?
10
Suppose -120 = -15*q + 12*q. Let s(y) = -7 - 14 + 4*y + 5. Calculate the remainder when q is divided by s(7).
4
Suppose -123*o = -42*o - 6399. Calculate the remainder when 123 is divided by o.
44
Let d = 26 + -12. Let h(s) = -32*s - 110. Let k be h(-19). Suppose -k*u = -504*u + 48. What is the remainder when d is divided by u?
6
Suppose -38*l + 18*l = -18*l, 5*y - l - 13285 = 0. Calculate the remainder when y is divided by 74.
67
Let x(c) = -c**3 - 14*c**2 + 47*c + 65. Calculate the remainder when 402 is divided by x(-17).
3
Let h(k) = 6*k - 53. Let d(q) = q + 3. Let r(y) = 4*d(y) + h(y). Let t be 0 + -2 + 1 + 8. Calculate the remainder when 114 is divided by r(t).
27
Suppose -66 = -3*t - 3*f, -3*t + 3*f - 24 + 120 = 0. Calculate the remainder when 3860 is divided by t.
26
Suppose 0 = -2*w + 2*h + 7780, 5*w + 106*h - 19474 = 103*h. What is the remainder when w is divided by 59?
58
Suppose 24*n - 7865 + 6617 = 0. Calculate the remainder when 628 is divided by n.
4
Suppose -9769 = -3*c + 4*k, -5*c - 611*k + 608*k = -16243. What is the remainder when c is divided by 539?
17
Let a = -2701 - -3366. Calculate the remainder when a is divided by 110.
5
Calculate the remainder when 79 + (-14)/(70/75) is divided by 17.
13
Suppose 38*d = 96*d - 464. Let i(g) = 5*g**2 - 8*g - 8. What is the remainder when i(6) is divided by d?
4
Let k = 1558 + -1528. Let o be -1 + (-3246)/(-4)*2. Calculate the remainder when o/14 + 3/21 is divided by k.
26
Suppose -2*f - 5*t = -457, 5*f - 4*f + 5*t - 231 = 0. Calculate the remainder when f is divided by 61.
43
Let d be (45/135)/(2*(-2)/(-144)). Suppose -2*n - d*b + 10*b = -198, 0 = -n + 2*b + 111. Calculate the remainder when n is divided by 21.
19
Suppose l + 8*g = 41, -l = -7*g + 5*g - 41. Let m(v) = 3*v**2 - v. Calculate the remainder when l is divided by m(-2).
13
Suppose -8 = 3*n - 5*q, -4*n + 15 = 4*q - 17. Suppose n*s - 6*s - 30 = 0. What is the remainder when -190*(12/s - 0) is divided by 22?
20
Let v(f) = 362*f**3 - f + 1. Suppose 219*r + 511*r - 21525 = 205*r. Calculate the remainder when v(1) is divided by r.
34
Let y(z) = -z**3 + 2*z**2 - 2*z + 56. Let s be y(0). Suppose u - 5*k + 42 = 4*u, -4*u = 5*k - s. Calculate the remainder when 52 is divided by u.
10
Suppose 0 = -8*t + 25*t - 85. Suppose 4*p + 4*s = 7*p - 103, 0 = t*p - 5*s - 180. What is the remainder when p is divided by (2/5)/((-1)/(-35))?
13
Let t(k) = k**2 - 11*k - 19. Calculate the remainder when t(-5) is divided by (-3 + (3 - 2))/(-2) - (-31 - -20).
1
Suppose -79534 = 209*r - 807*r. What is the remainder when r is divided by 68?
65
Suppose 2*c - 2 = 0, -w + 192 = 3*w - 4*c. Let v(i) be the second derivative of -i**3/3 + 10*i**2 + 37*i. Calculate the remainder when w is divided by v(5).
9
Let x(y) = 5*y - 189. Suppose -1290 = -9*u + 4*u. Calculate the remainder when u is divided by x(43).
24
Let a(x) = x**3 + 8*x**2 + 4*x + 1. Let t = 71 - 27. Let j = t + -48. What is the remainder when a(j) is divided by 26?
23
Let q(i) = -i + 2*i + 11 - i - i. Let c be q(7). What is the remainder when 25 is divided by (4/2 - 4/c) + 6?
4
Let g(s) = 199*s**2 - 230*s + 9. What is the remainder when g(4) is divided by 23?
19
Suppose -256*u - 147*u + 118273 + 325430 = 0. What is the remainder when u is divided by 190?
151
Suppose 0 = c - 5*t + 8, -5*c + 33 = 4*t - 43. Calculate the remainder when 16 - 2 - (-6 - 0) is divided by c.
8
Let d(j) = -25*j**2 + 2326*j + 7. Calculate the remainder when 516 is divided by d(93).
16
Let g = 752 - 708. Calculate the remainder when 879 is divided by g.
43
Let r(h) = -4*h**2 + 132*h - 472. Calculate the remainder when 412 is divided by r(25).
84
Let s = 682 - 642. Suppose 35*b - s*b + 20 = 0. Calculate the remainder when 12 is divided by b.
0
Let t(q) be the second derivative of -9*q**3 - q**2 - 27*q. Calculate the remainder when t(-1) is divided by 384/27 + 2/(-9).
10
Suppose 4*z - 150 = -21*z. Let t(p) = -33*p + 220. Calculate the remainder when 87 is divided by t(z).
21
Calculate the remainder when 7/(21/5)*(-11 - (-8840)/100) is divided by 2/(-4) + (-94)/(-4).
14
Let t be (-3)/((-6)/(-14))*6/(-7). What is the remainder when 55 is divided by (-22)/(t + 13/(-2))?
11
Let x = 591 - 385. Suppose -52 = 2*h - x. Let v(d) = d**3 - 23*d**2 - 50*d + 26. What is the remainder when h is divided by v(25)?
25
Suppose -5*c = 0, -5*x = -x + 5*c - 320. Suppose 0*z + z - 28 = -4*m, 2*z - 3*m - 12 = 0. What is the remainder when x is divided by z?
8
Suppose 1911 = 31*c - 352. Calculate the remainder when c is divided by 73.
0
Let a(j) = -23*j - 15. Let s be 8 - (2/7)/((-1)/(-7)). Let z be (-1)/(0 + 0 + 2/s). Calculate the remainder when 160 is divided by a(z).
52
Calculate the remainder when (19/(-57) - -1)*9/3*228 is divided by 78.
66
Let m = 26271 + -25491. What is the remainder when m is divided by 80?
60
Let z(w) = 8*w**2 + w - 24. Let f be z(-10). Suppose 6*x - f = -256. Calculate the remainder when 594 is divided by x.
84
Let j be 4*(-42)/(-16)*(-34)/(-51). Let v be 222/(7/2 + -2). Suppose j*u = v - 22. What is the remainder when u is divided by 7?
4
Suppose 304*n = 254*n + 8850. Calculate the remainder when n is divided by 86.
5
What is the remainder when 1691 is divided