- 3. Suppose 4*w = 4*i + 4, -w + 5 + 11 = 4*i. What is the remainder when 354 is divided by x(w)?
18
Suppose -4*t = -14*t + 90. Let c(x) = x + 6 - 6 + t*x + 1. Calculate the remainder when 55 is divided by c(3).
24
Suppose -5*a = -5*v + 185, 0 = -22*v + 24*v - 4*a - 82. Suppose -13*h + 57*h - 616 = 0. Calculate the remainder when v is divided by h.
5
Let w = 48 - 26. Let z = 156 + -142. Let m = z - 6. Calculate the remainder when w is divided by m.
6
Suppose -152*j + 137450 + 90337 = 65907. Calculate the remainder when j is divided by 11.
9
Let z = -38 - -78. Let h be (-3)/(((-1)/(-15))/((-32)/z)). Let u = -26 + h. Calculate the remainder when 39 is divided by u.
9
Suppose 6049 = 62*z + 841. What is the remainder when z is divided by 10?
4
Suppose 13 = 14*i - 15*i. Let q(x) = -5*x + 18. Let j be q(i). Let r = j + -79. What is the remainder when 14 is divided by r?
2
Suppose 0 = -8*v + 15*v. Suppose -5*p + 29 = -2*p - 2*k, -p - 12 = -5*k. Calculate the remainder when p is divided by 6 + v/3 + 1/1.
6
Let b = -18861 - -18911. What is the remainder when b is divided by (-4)/6 + 464/12?
12
Suppose 32*p + 108 = 43*p - 101. Calculate the remainder when 96 is divided by p.
1
Let m = -35164 + 38620. Calculate the remainder when m is divided by 45.
36
Suppose 4*t - 3*l = 9, 0*t + 3*l = -3*t + 12. Suppose t*g + 496 = 535. Calculate the remainder when 36 is divided by g.
10
Suppose -12*s - 292 = 10*s - 23*s. What is the remainder when 796 is divided by s?
212
Suppose -70*f = -46*f - 3377 + 689. Calculate the remainder when f is divided by 47.
18
Suppose 12*a + 640 = 44*a. Suppose -27*m + 175 = -a*m. What is the remainder when 145 is divided by m?
20
Let r(s) = 54*s + 712. Calculate the remainder when r(-8) is divided by 125.
30
Suppose 39388 = 364*y + 4444. What is the remainder when 1435 is divided by y?
91
Suppose -5*i - 3*s - 525 = 2*s, 2*s - 108 = i. Let w be (-227)/(-2) - (-1)/(-2). Let q = w + i. Calculate the remainder when 8 is divided by q.
1
What is the remainder when 511/(-21)*(-2 + -1) is divided by 64*9/18 + -8?
1
Let d = 29 + -14. Let h(m) = m**3 + 6*m**2 - 10*m - 18. What is the remainder when h(-5) is divided by d?
12
Let l be (-4 - -2)*1*3028/(-8). Let w = l - 752. Calculate the remainder when 54 is divided by w.
4
Let w(b) = -b**3 - 31*b**2 - 6*b - 165. Let f be w(-31). Suppose f*s - 18*s = 15, 192 = 2*a + 4*s. Calculate the remainder when 512 is divided by a.
82
Let m = 3 + 12. Suppose -m = -4*a - a. What is the remainder when 11 is divided by a?
2
Let n = 124 - 139. Let h(w) = 6*w + 110. Calculate the remainder when h(n) is divided by 15.
5
Let y(u) be the first derivative of 2*u**2 - 10*u + 10. Let l be y(3). Suppose l*x + 2 = 0, -2*q = q + x - 41. What is the remainder when 24 is divided by q?
10
Let x(z) = 514*z - 2545. What is the remainder when x(8) is divided by 19?
9
Let t = 447 + -228. Let o = t - 177. Calculate the remainder when o is divided by 22.
20
Let z = -1116 + 1313. What is the remainder when z is divided by (-2 + -65)*(-9 - -8)?
63
Suppose 5*h = 6*d - d - 25, -2*h = 3*d - 10. Let r = 14 - h. What is the remainder when 360/(-300)*(1 + 44)*(-1)/2 is divided by r?
12
Let n be (-3)/((-3)/28) - 6. What is the remainder when 60 is divided by 348/n + (600/(-88) - -7)?
12
Suppose -i - 3*i = -64. Suppose 0 = 125*t - 116*t + 117. What is the remainder when (13/(t/(-66)))/((-15)/(-10)) is divided by i?
12
What is the remainder when 185 is divided by 26/(26/(-21)) + 124?
82
Suppose 92 = -7*j - 216. What is the remainder when (-72)/(-32)*j/(-3)*1 is divided by 11?
0
Suppose 16 - 20 = 2*m, -5*m + 197 = 3*w. What is the remainder when w is divided by 10?
9
Suppose 3*c + 24 = 3*o, -35*o + 4*c + 5 = -40*o. Suppose -23*l = -26*l - o*s + 42, 0 = 4*l - s - 61. What is the remainder when 56 is divided by l?
11
Let o be 92/(-10) + (-54)/30. Let x(f) = 26*f + 294. What is the remainder when 142 is divided by x(o)?
6
Suppose 847 = 24*w + 53*w. Calculate the remainder when w is divided by 74/10 + -7 + 106/10.
0
What is the remainder when (4 + (7790/20)/19)*2 is divided by 27?
22
Suppose 43*j = 48*j + a - 1839, -2*j + a = -730. Calculate the remainder when 702 is divided by j.
335
Let w be (-62)/(-2) + -2 + 10 + -5. Suppose -5*q - 3*m - 2*m = -110, -q = -5*m - w. What is the remainder when 35 is divided by q/2*(0 - -2)/2?
11
Suppose y = 3*m - 2*y + 9, -4*y = 4*m - 20. Calculate the remainder when 39 is divided by (-19 - -27)*(-9)/(-12)*m.
3
Suppose 3*s - 9*r - 6 = 21, 5*s - 4*r = 89. Suppose 2*f - 126 = 458. What is the remainder when f is divided by s?
19
Let x(m) = m**2 - 75. Let k be x(-12). Suppose 0 = -6*j + k + 15. What is the remainder when 14 is divided by j?
0
Let n = -24 + 24. Let t(g) be the second derivative of g**3/2 + 17*g**2/2 - 41*g. Calculate the remainder when 32 is divided by t(n).
15
Suppose -9*g = -13*g + 3*y + 163, -155 = -4*g - 5*y. What is the remainder when g is divided by 2?
0
Let b be (-29)/(-9) - (-48)/(-216). Suppose -183 = -2*l + b*k, -k = -16*l + 14*l + 189. What is the remainder when 283 is divided by l?
91
Let f = -61595 + 61800. Suppose 3*h + 0*h - 9 = 0. Calculate the remainder when f is divided by h.
1
Suppose 0 = -6*l + l + 160. Calculate the remainder when (-125)/(7 - 2) + 278 is divided by l.
29
Let l be 1 + 0 + -1 + 0. Suppose 0 = 4*k - 2*j + j - 113, k - j - 32 = l. Calculate the remainder when k is divided by ((-6 - -4)*1 - -9) + (-21 - -24).
7
Let s = -19 - -75. Let h = s - -63. Suppose -4*d = -75 - 45. What is the remainder when h is divided by d?
29
Suppose 20*m + 1984 = 9*m + 27*m. Calculate the remainder when 257 is divided by m.
9
Suppose 2*d - 53 + 17 = 0. Let y be 1/(2/4) - d. Calculate the remainder when y/10*(2 + -37) is divided by 19.
18
Suppose 5*d + 3 = -g + 142, -484 = -4*g + 4*d. Let w = 2681 + -2638. What is the remainder when g is divided by w?
38
Suppose -4*b + 92 = 4*f, -402*b - 5*f = -407*b + 105. Suppose 2*g = -4*a + 8, -3*g + 5*a + 55 = g. What is the remainder when b is divided by g?
2
Let y(z) = 25*z**2 - 2*z - 1. Let n be y(-1). Suppose n = -k - 5*m, 34 + 18 = -3*k - 2*m. Calculate the remainder when (-300)/k + 4/16 is divided by 11.
8
Let y be -8 - (-140)/(2 - -5). Suppose -192 = -12*c - y*c. Suppose -4 = -2*k + 2*a, 3*a - 2*a - 10 = -2*k. What is the remainder when c is divided by k?
0
Let x = 95686 + -95678. Let v(b) = -4*b**3 - 3*b**2 - b. Suppose 16 - 6 = -5*u. Calculate the remainder when v(u) is divided by x.
6
Let x(u) = 9*u**3 - 4*u**2 - u + 11. What is the remainder when 5459 is divided by x(2)?
64
Calculate the remainder when 900 is divided by (10 + (2 - (-506)/(-11)))/((-2)/8).
84
Suppose -3*v - 168 = -183. Suppose 13*f = -v*f + 1026. What is the remainder when f is divided by 12?
9
Let t(g) = 39*g - 1554. Calculate the remainder when t(117) is divided by 6.
3
Suppose -4*g + 217 = -3*t, 3*g = -t - 4*t + 141. Suppose -4*z = -2*w + g, -7*z = 4*w - 2*z - 169. Calculate the remainder when 143 is divided by w.
35
Suppose -280 = -4*p + 152. Let c = p - 108. Suppose c = 4*z + 3*z - 665. What is the remainder when z is divided by 25?
20
Let m(p) = 2*p + 5. Let h(i) = i**3 + 6*i**2 - 6*i + 6. Let g be h(-7). Calculate the remainder when m(8) is divided by (-4)/8*(-25 - g).
9
Suppose -39*h - 31 = -40*h. Suppose 0 = 2*y + 5*c - 35, 4*y = 2*y + 4*c + 26. Let t = y + h. What is the remainder when 182 is divided by t?
44
Let c(d) = -2*d**2 + 14*d - 7. Let u be -1 + 4 + -1 + 1. Calculate the remainder when 47 is divided by c(u).
13
Suppose -8 = 5*v - 4*x - 9, x = -v + 2. Let l(d) = 49*d**2 - 6*d + 7. Calculate the remainder when l(v) is divided by 22.
6
Suppose -24*o + 450 = 71*o - 595. Calculate the remainder when 5378 is divided by o.
10
Let v = 11895 - 11824. What is the remainder when 309 is divided by v?
25
Let t = 2787 - 2014. Calculate the remainder when t is divided by 13.
6
Let n(o) = o**2 - 4*o + 8. Suppose -120*t + 92 = -116*t. Let d(c) = -c**3 + 23*c**2 + 3*c + 7. What is the remainder when d(t) is divided by n(6)?
16
Let x(f) = 5*f - 7. Let z be x(3). Let y be -365*(-1)/((-20)/z). Let j = -64 - y. What is the remainder when j is divided by 42?
40
Suppose 2*d = -d + 45. Let b(n) = n**3 + 18*n**2 - 19*n + 32. Let j be b(-19). Let p = 59 - j. Calculate the remainder