= -3*v + 3*x, 3*x + 3 = -3*v. Suppose f + 2 = v*f. Let z = 43 - f. What is the remainder when z is divided by 15?
11
Let y = -51 - -87. Suppose -109*r = -102*r - 3329 - 941. What is the remainder when r is divided by y?
34
Let b(z) = z**2 - 5*z + 14. Let w be b(6). Suppose 0 = -2*n + 2*u - 68, -n - 2*u - w = 8. Let f = -23 - n. Calculate the remainder when 34 is divided by f.
7
Suppose 0 = -5*l + 7*l + 110. Let q = -53 - l. Suppose -q*x + 22 = -4. Calculate the remainder when 101 is divided by x.
10
Let s(v) = -v**3 - 11*v**2 + 113*v + 209. Let r(k) = 67*k - 6. Calculate the remainder when r(4) is divided by s(-17).
20
Let u = 4754 - 4540. What is the remainder when u is divided by 42?
4
Suppose -86*s = 803 - 2609. Calculate the remainder when 600 is divided by s.
12
Suppose -4*n + 5371 = -2*o + 7*o, 5*o + 2*n - 5363 = 0. Suppose 1129 = 20*r - o. Calculate the remainder when r is divided by 43.
24
Let c(r) = 97*r + 8844. Calculate the remainder when 63 is divided by c(-91).
12
Let f = 3333 + -3257. Calculate the remainder when f is divided by 317/15 - (-8)/(-60).
13
Let u be (2 + -3 - 1) + 255. Let i be 40*((-168)/30 - -10). Let g = u - i. What is the remainder when g is divided by 21?
14
Let g be ((-3)/(-3))/((-2)/(-152)). Suppose 57*r - 46*r + 550 = 0. Let k = r + g. Calculate the remainder when k is divided by 16.
10
Suppose 0 = -4*t + 6*t - 4. Let g be t + 80/(-36) - 38/(-9). Suppose -g*n + 84 = -n. Calculate the remainder when 83 is divided by n.
27
Let j(r) = 3519*r**2 + 9*r - 10. Calculate the remainder when j(1) is divided by 47.
40
Let t be (-78)/(-66) - (-4)/(-22). Let r be t*(0 - -1) + (21 - 7). Calculate the remainder when 85 is divided by (33/r)/(1/10).
19
Suppose -p = -4*o - 169, 5*p + 314 - 1129 = 5*o. Suppose 0 = 391*h - 6640 + 775. Calculate the remainder when p is divided by h.
11
Let w(y) = -2*y + 19. Let n be (-12)/(-18) - (-350)/6. Suppose q = -4*o + 140, 2*o + q - n = 13. Calculate the remainder when o is divided by w(5).
7
Let m = -3747 + 3763. Suppose -4*g + 120 = 5*u - 19, -5*g = 20. What is the remainder when u is divided by m?
15
Suppose -33*m + 39*m - 162 = 0. Let h(u) = -u**2 + 6*u + 5. Let n be h(6). Suppose -3*a = -n*a + 16. Calculate the remainder when m is divided by a.
3
Suppose 13*q - l - 154 = 10*q, -43 = -q + 2*l. Calculate the remainder when q is divided by 14.
11
Suppose 0*y - 8 = -2*k + y, 0 = -4*k - y + 22. Suppose -2*n = 5*m - 1127, -3*m - 4*n = -k*m + 446. What is the remainder when m is divided by 12?
9
Let q be (-7)/(84/(-438))*(1 + 1). Suppose 0 = 2*u - q + 19. Calculate the remainder when 79 is divided by u.
25
Let b(q) = q + 1. Let s(t) = 49*t + 280. Let j(i) = -35*b(i) + s(i). What is the remainder when 235 is divided by j(-17)?
4
Suppose 2*b - 5*b - 28 = -n, 4*b + 5*n = -12. Let l(i) = 2*i**2 + 3*i - 12. What is the remainder when l(b) is divided by 33?
26
Let g = -3209 + 3454. Calculate the remainder when g is divided by 14.
7
Suppose -20*m = -66*m + 426 + 1000. Suppose 0*g = g - 175. Calculate the remainder when g is divided by m.
20
Calculate the remainder when 420 is divided by 12/1 + 158 + -161.
6
Suppose 0 = 4*s - o - 67 + 10, 0 = 3*s - 4*o - 33. Suppose 1603*w - 1110 = 1598*w. What is the remainder when w is divided by s?
12
Let j = -15 - -33. Let a = 24 - j. Suppose 2*x - 5 = 5. Calculate the remainder when a is divided by x.
1
Suppose 24*q - 22*q - 2*i = -372, 2*i + 384 = -2*q. Let j = q - -243. Calculate the remainder when j is divided by 25.
4
Calculate the remainder when 330 is divided by 56 + (-5 - (-11 + 20)).
36
Suppose 15*v - 2814 = -52*v. What is the remainder when 851 is divided by v?
11
Suppose 24 = -l + 2*l. Suppose 0 = -5*y + 10*y - 390. Suppose -12*g = -6*g - y. Calculate the remainder when l is divided by g.
11
Let s be ((-14)/(-15)*-9)/((-3)/930). Calculate the remainder when (-4)/6 - s/(-18) is divided by 37.
33
Let j be (267/9)/(1/3). Suppose -386*y + 616 = -397*y. Let g = j + y. What is the remainder when 131 is divided by g?
32
Let w(c) = -5*c - 161. Let i be w(-32). Calculate the remainder when (-538)/(-12) + i/(-6) is divided by 23.
22
Suppose 3*f - 4 - 14 = 0. Let s(x) = 3*x + 66. Let w(y) = -2. Let d(a) = -s(a) - 5*w(a). What is the remainder when d(-30) is divided by f?
4
Suppose -61*i + 6732 = -25*i. Calculate the remainder when i is divided by 48.
43
Suppose -8*y - 40 = -7*y. Let i be ((-30)/y)/(2/(-8)). Calculate the remainder when 29 is divided by (2/(-4))/(i*4/216).
2
Let h be -2 - (5 - (29 + 2)). Suppose 0 = -h*d - 159 + 591. What is the remainder when 44 is divided by d?
8
Let h(s) = -36*s - 94. Let l be h(-7). Suppose -w - 41 = -l. What is the remainder when w is divided by 15?
12
Suppose -3*o - 900 + 4409 = 4*h, -5*o = 2*h - 1779. What is the remainder when h is divided by 25?
22
Let r(z) = 2*z**3 - 2*z**2 + 11*z - 533. Let a(m) = m**3 - m**2 + 6*m - 267. Let g(q) = 7*a(q) - 4*r(q). Calculate the remainder when g(0) is divided by 53.
51
Suppose 2*x - 428 = -2*g, -278 = -x - 3*g - 66. Let a(q) = -74*q**3 - q**2 - q - 2. Calculate the remainder when x is divided by a(-1).
71
Let w(j) = -8*j**2 + 103*j + 17. What is the remainder when w(8) is divided by 8?
1
Let c(q) = -29*q + 162. What is the remainder when 19 is divided by c(5)?
2
Let r = 14070 + -14068. Let n be -1*(-6)/2 + 0. Suppose n*i - 115 = r*i. What is the remainder when i is divided by 40?
35
Suppose 59640 = -6*b + 3*b + 23*b. What is the remainder when b is divided by 9?
3
Let v(j) = -j**3 - 9*j**2 + 61*j + 230. What is the remainder when v(-14) is divided by 108?
32
Suppose -a + h + 1040 = 0, 3*a + 222 = 5*h + 3344. What is the remainder when a is divided by 9?
4
Suppose -4*y - 2*m + 4*m = 8, -2*m - 24 = 4*y. Let h(x) = 2*x**2 - x - 11. Calculate the remainder when 93 is divided by h(y).
18
Suppose -11*c = -29*c + 1206. What is the remainder when -1 - -6 - (-2 - 186) is divided by c?
59
Let m be 7 + ((-3)/(-4))/((-4)/16). Suppose 5*h = -m*t + 100, -h - 2*h = -t + 8. Calculate the remainder when t is divided by 4.
0
Let x(z) = -16*z**3 - 16*z**2 - 36*z + 12. Calculate the remainder when x(-3) is divided by 109.
81
Let x(j) = 11*j**2 + 2*j - 1. Let q be 3 + -2 - (25 + -2). Calculate the remainder when (-3*q/6)/((-1)/(-3)) is divided by x(1).
9
Let p = -1412 + 1586. Suppose 3*c - 27 = 2*a, -2*c + a + 23 = -2*a. Calculate the remainder when p is divided by c.
6
Let k be -2 - 2/(12/(-30)). Suppose 0 = -s - 4*z + 150, -z + 674 = 8*s - k*s. Calculate the remainder when s is divided by 15.
14
Suppose 4*q + 13*z - 8*z = 15, -z = 3*q - 14. What is the remainder when 1298 is divided by q?
3
Suppose 17*v = 15*v + 10. Let g = -2 + v. Suppose g*l - l - 49 = -c, 0 = -5*l + 4*c + 103. Calculate the remainder when 40 is divided by l.
17
Suppose 2*z + 172 = 6*z. Suppose -50 = -2*f - 4*k, k + z = -5*f + 186. Let g = f - 10. What is the remainder when 74 is divided by g?
17
Let q = -427 - -690. Suppose 171 = 5*o + 6. Calculate the remainder when q is divided by o.
32
Let b = -16 + 25. Let h(a) be the first derivative of -a**3/3 + 17*a**2/2 - 2*a + 168. Calculate the remainder when h(13) is divided by b.
5
Let f(r) = 9*r - 3. Let o(d) = -3262*d - 45559. Calculate the remainder when o(-14) is divided by f(3).
13
Suppose -4*z + 38681 = -2*q - 13541, 5*z = 5*q + 65285. What is the remainder when z is divided by 128?
126
Suppose 5*k - 1805 = f, -3*k = -3*f - 0*f - 1083. Suppose 5*w - 447 = 4*d, -3*w + 279 = -0*d + 3*d. Calculate the remainder when k is divided by w.
88
Let q(x) = x**3 - 14*x**2 + 21*x - 12. Let o be q(15). Let u = -371 + o. Suppose 9*g - 1543 = -u. What is the remainder when g is divided by 26?
24
Let g = 989 + -686. Suppose 123 = 5*o + 33. What is the remainder when g is divided by o?
15
Suppose 4*u = 2*q - 44, -5*q + 14 - 44 = 4*u. Let m(r) = 4*r**2 + 18*r + 108. What is the remainder when m(u) is divided by 22?
20
Let t = -10794 - -10859. Calculate the remainder when t is divided by 436/10 + (-6)/(-15).
21
Suppose 57*x - 30*x - 3672 = 0. What is the remainder when 508 is divided by x?
100
Let h(x) = -2*x**3 - 6*x**2 + 3*x + 4. Calculate the remainder when 15*(16/6)/1 is divided by h(-4).
16
Suppose 0 = 51*j - 79204 - 9248 - 54144. What is the remainder when j is divided by 23?
13
Let v = 256 +