te the remainder when x is divided by m.
8
Let i be (1005/(-5))/(-3) - -5. Suppose 0 = 17*z - 5*z - i. Calculate the remainder when z is divided by 6.
0
Let c(p) = p**3 + 25*p**2 + 3*p - 381. What is the remainder when c(-24) is divided by 59?
5
Suppose -10*w = -5*w - 50. Let m be -5 + -1 + (-32)/(-4). Suppose -m*n + 3*n - 38 = -q, -w = -5*n. Calculate the remainder when q is divided by 13.
10
Suppose -13*a + 17*a + 92 = 2*t, 5*t = -2*a + 230. Let o = 170 - 424. Let c = o + 437. Calculate the remainder when c is divided by t.
45
Suppose 0 = -g + 29 + 38. Suppose -g*s - 220 = -62*s. What is the remainder when (-5 - -2)*s/6 is divided by 14?
8
Let h(r) = 2*r**3 - 46*r**2 + 254*r - 16. What is the remainder when h(14) is divided by 2/(-7) + 32/14?
0
Let m = 4943 - 4694. Calculate the remainder when m is divided by 25.
24
Suppose -153*q = -10*q - 47 - 239. Suppose -4 - 55 = -3*h - 4*k, -2*h + 40 = 2*k. Let f = h + -19. What is the remainder when q is divided by f?
0
Suppose 6*g + u + 1751 = 9*g, -581 = -g + u. Calculate the remainder when g is divided by 99.
90
Let w(s) = 6*s**2 - 26*s + 8. Let t be w(9). Suppose 0 = 2*n - x - 124, 4*n + 0*x + x - t = 0. Calculate the remainder when 317 is divided by n.
61
Suppose 4*d + 3*s - 2453 = 0, 49*d - 1249 = 47*d + 3*s. Calculate the remainder when d is divided by 300.
17
Let o = -161 - -131. What is the remainder when (-6874)/o - (-10)/(-75) is divided by 23?
22
Let p be -3*(-12)/9*-2. Let b be (-198)/(-12) - p - (-2)/(-4). Suppose 103*f = 99*f + b. What is the remainder when 18 is divided by f?
0
Suppose 27*p - 32*p - 2*t = -15658, 0 = -3*p - 3*t + 9402. Calculate the remainder when p is divided by 98.
92
Let j = 6500 - 6324. Calculate the remainder when j is divided by 35.
1
Let q(l) = -4*l**2 + l + 4. Let j be q(1). Suppose x = -2*x + 111. Calculate the remainder when (-1526)/2*j/(-7) is divided by x.
35
Suppose -10660 + 2185 = -87*h + 3705. Calculate the remainder when 201 is divided by h.
61
Let a(t) = t**2 - 30*t - 40. Let c be a(36). Suppose -172*r = -c*r + 504. Calculate the remainder when r is divided by 29.
10
Let z(b) = 3*b - 3. Let c(s) = -3*s - 10. Let y be c(-4). Let j be z(y). Suppose 0 = j*u - 67 + 13. What is the remainder when 71 is divided by u?
17
Let k(m) = -12*m - 26. Let x be k(-5). Suppose -4*i - 990 = -x*i. What is the remainder when i is divided by 7?
5
Let z(p) = -1 + 1 + 12*p - 6*p**2 - 11*p + 1 - 8*p - 10*p**3. Calculate the remainder when z(-3) is divided by 22.
18
Let i be 2/(-9) - (-19264)/(-387). What is the remainder when 73 is divided by -2 + (i/(2 + -4) - 0)?
4
What is the remainder when (((-4590)/20)/3)/(3/(-6)) is divided by 69?
15
Let t = -3272 + 3464. Calculate the remainder when t is divided by 49.
45
Let w(b) = 527*b**2 + 2492*b - 9983. Calculate the remainder when w(4) is divided by 21.
17
Let w = 5 + -2. Suppose p = -w*q + 32 - 11, 0 = 5*p - 3*q - 51. Suppose 52 = 3*s - 119. Calculate the remainder when s is divided by p.
9
Let g = -954766 - -954783. Let u = -366 - -517. Calculate the remainder when u is divided by g.
15
Let m(t) = 3*t**3 - 2*t**2 - 10*t + 10. Let x be m(4). Suppose a - 5 = -4*r + 21, 5*a + 2*r = x. Calculate the remainder when a is divided by 10.
6
Suppose 48 = z + 4. Calculate the remainder when (-7)/((-154)/3590) - (-2)/(-11) is divided by z.
31
Let d(z) = z**3 + 36*z**2 - 3*z - 98. Calculate the remainder when 44 is divided by d(-36).
4
Let o(m) = -5*m - 10. Let a(g) = -18*g - 30. Let c(x) = 2*a(x) - 7*o(x). Calculate the remainder when c(4) is divided by 4.
2
Let p(q) = q**2 - q - 174. Let y be p(0). Let x = -8904 + 8612. Let n = y - x. Calculate the remainder when n is divided by 30.
28
Suppose 2*m = m + 151. Suppose -v + 12*c - 16*c = -63, -4*v + 4*c = -192. What is the remainder when m is divided by v?
49
Let w(h) = -35*h + 1026. Calculate the remainder when w(20) is divided by ((-14)/21)/((-2)/45).
11
Let z(g) = -g**3 - 10*g**2 + 92*g - 56. What is the remainder when 4813 is divided by z(-16)?
5
Suppose -755 = -10*b + 2845. Calculate the remainder when 1090 is divided by b.
10
Let x(o) be the third derivative of 101*o**4/24 - o**3/3 + 3*o**2 + 5. Calculate the remainder when x(2) is divided by 68.
64
Suppose -10*k - 152604 = -6*k - 58*k. What is the remainder when k is divided by 24?
18
Suppose 3*b = -2*b + 375. Let o(i) be the third derivative of i**5/60 + 19*i**4/24 + 7*i**3/6 - i**2. What is the remainder when b is divided by o(-20)?
21
Let n(l) = 13*l - 258. Suppose 0 = q + 4*q - 2*t - 95, -4*q + 4*t = -76. Calculate the remainder when n(23) is divided by q.
3
Let i(w) = -3335*w - 9985. Let q = 458 + -219. Calculate the remainder when q is divided by i(-3).
19
Let k(x) = -x**3 - 5*x**2 + x + 1. Let a be k(-5). Calculate the remainder when 21/126 - (-70)/12 is divided by 5/((-5)/a) + -3.
0
Let g = 488 - 384. Suppose 0 = 3*h - y + 6*y - g, 103 = 3*h + 4*y. What is the remainder when 527 is divided by h?
32
Suppose -29*i = 3*f - 330, -8*f = 5*i - 6*f - 48. What is the remainder when 3935 is divided by i?
11
Suppose -21*j = -30*j - 16*j + 6650. Calculate the remainder when j is divided by 40.
26
Let b(v) = -v**2 - 21*v + 50. Calculate the remainder when b(-17) is divided by (-62*(-2)/28)/((-1)/(-7)).
25
Suppose 23 = 4*z - 21. Suppose -71*h = -79*h - 1120. Let b = h + 237. What is the remainder when b is divided by z?
9
Suppose -253*i + 50*i + 118 = -1100. Calculate the remainder when 384 is divided by i.
0
Suppose -4904*f + 4740*f + 6232 = 0. What is the remainder when 718 is divided by f?
34
Suppose 4*k + 8 = 4*x - 4, 2*k = 3*x - 8. Let m(n) = -6*n + 99. Let a be m(17). What is the remainder when (-3 - 5) + 11 - (a + -1) is divided by x?
1
Suppose -20*d + 2 = -18*d. Let l(n) be the second derivative of -n**3/6 + 4*n**2 - 17*n. Calculate the remainder when l(5) is divided by d.
0
Let r = 6037 + 926. What is the remainder when r is divided by 9?
6
Suppose 3*m - 1716 = -m. Suppose 2*k - 80 = -4*h, 3*h - 34*k + 36*k = 64. What is the remainder when m is divided by h?
13
Let j = 40 - 38. Suppose j*d - 118 = 5*s, 3*d + 23 = -s + 4*d. Calculate the remainder when s/(-42) + 118/14 is divided by 7.
2
Suppose -7*i - 304 = -11*i. Suppose -t + 15 = -5*a, 2*t = a - 0*t + 12. Calculate the remainder when i is divided by (-8)/a - 48/(-3).
16
Suppose -5705 = -112*f + 3932 + 9739. Suppose -3*s + 9 + 171 = 0. Calculate the remainder when f is divided by s.
53
Let q be (-112)/(-18) - (-7)/(252/(-8)). Suppose -9 - q = -5*g. Calculate the remainder when 596/(-4)*-1 + 3/g is divided by 38.
36
Suppose 4*v = 4, -z - 4*v + 7*v + 2 = 0. Suppose z*i - 3*i = 104. Let w = i + -41. Calculate the remainder when w is divided by 3.
2
Suppose -4*p = -31*k + 33*k - 170, 0 = 5*k + 2*p - 465. What is the remainder when k is divided by 5?
0
Let a(h) = -31*h + 872. Calculate the remainder when a(15) is divided by 18.
11
Suppose -2*k - r - 516 = 0, -4*k - 247 = -3*k - 5*r. Let t = 280 + k. Calculate the remainder when 68 is divided by t.
22
Let f = -5212 - -6672. What is the remainder when f is divided by 11?
8
Suppose 4*a = -5 + 9, 4*a = -2*d + 170. Suppose 5*u - 11 = -5*x + 2*x, -x = -u - 1. Let m(l) = 22*l**2 - l. What is the remainder when d is divided by m(u)?
20
Suppose -5*k + 3*n + 70 = 0, -k + 4*n + 27 + 4 = 0. Calculate the remainder when (-290)/(-6)*(-6 + 78/10) is divided by k.
10
Suppose 5*o - 58 = -z, -8*z - 2*o - 210 = -12*z. What is the remainder when ((-4)/6)/(6/(-1827)) is divided by z?
44
Suppose 0 = 228*b - 240*b + 324. Let c = 105 - 38. Suppose -2*q + 154 = 2*z, c + 168 = 3*q + z. What is the remainder when q is divided by b?
25
Let x(g) = 19*g**2 + 80*g + 165. What is the remainder when 732 is divided by x(-2)?
3
Suppose -f - 5*w = -130, 0*f - 145 = -f - 2*w. Suppose 8*q - 133 = f. Calculate the remainder when q is divided by 21.
15
Let o(x) = -123 + 16 + 43*x - 17. What is the remainder when o(5) is divided by 19?
15
Suppose -12 = k - 3*t, 5*k - 2*t = -2 - 6. Suppose k = 11*w - 7 - 312. Calculate the remainder when 88 is divided by w.
1
What is the remainder when -9 - (-31 - -22 - 944) is divided by 10?
4
Suppose 152*h = 141*h + 3388. Calculate the remainder when h is divided by 103.
102
Suppose 82*s - 86*s = 2*z - 668, 4*s - 3*z - 668 = 0. Calcula