v(u) = -10*u**3 - 3*u**2 - 2*u - 2. Let k(t) = -t**2 - 14*t + 94. Let y be k(-19). Calculate the remainder when v(y) is divided by 3.
1
Let r = -55 + 179. Let v = 141 - r. Calculate the remainder when 55 is divided by v.
4
Let g(i) = 12*i**2 - 2. What is the remainder when ((-32823)/5731)/(3/(-55)) is divided by g(2)?
13
Let z = -694 - -699. Suppose 2*s + 10 = 0, 3*s + 2*s + 545 = z*d. Calculate the remainder when 198 is divided by d.
94
Let l = -3823 + 3989. What is the remainder when 517 is divided by l?
19
Let a(r) = -46*r - 552. Calculate the remainder when 503 is divided by a(-13).
43
Calculate the remainder when ((-3)/42*21)/(-1*6/856) is divided by 34.
10
Let j(p) = 2*p**2 + 68*p - 1768. Let t be j(18). Suppose -3*a + 90 = 357. Let x = a + t. Calculate the remainder when x is divided by 8.
7
Suppose -812*c + 810*c = -16. Suppose 19 = n - 91. Calculate the remainder when n is divided by c.
6
Let s(m) be the first derivative of 2*m**2 + 21*m + 279. Let o be (-2)/14 + (-592)/(-28). What is the remainder when s(o) is divided by 12?
9
Let i = -3268 + 3343. Calculate the remainder when 1266 is divided by i.
66
Let y be (2 + 3/1)*(-8 - -9). Suppose -y*c + q = -751, -2*q + 4 = -6*q. Calculate the remainder when c is divided by 40.
30
Suppose -13080 + 3510 = -87*u. What is the remainder when 1857 is divided by u?
97
Let y be ((-33)/11)/(0 + 3/(-2)). Suppose g = 4*w - 8, 0 = -2*w + 4 + y. Let k(x) = x**3 + 5*x**2 + 3*x. What is the remainder when k(-3) is divided by g?
1
Let k(s) = 21*s**2 - 9*s - 8. Let m(x) = x + 27. Let j be m(-28). What is the remainder when k(j) is divided by 6?
4
What is the remainder when 140/42*(-108)/(-10) is divided by 8/3*(-14 + 71/4)?
6
Let v = -4204 + 4378. Calculate the remainder when v is divided by 120.
54
Suppose 3*i - 5*a = -976, i + a = 162 - 482. Let t = i + 559. What is the remainder when t is divided by 48?
45
Let v be (5 + -2 - 3) + 12. Suppose 0*q + 2460 = v*q. Calculate the remainder when q is divided by 105.
100
Suppose 738*r = 826*r - 593 - 111. Suppose -g + 13 + 112 = 0. What is the remainder when g is divided by r?
5
Let u(l) = -2*l - 18. Let h be u(-8). Let f = -4 - h. Calculate the remainder when (11/f)/(4 - 102/24) is divided by 13.
9
Suppose 6*d = 2*k + 2*d - 36, 0 = -k + 3*d + 13. Let v(x) = 2*x**2 - 26*x + 72. Calculate the remainder when k is divided by v(3).
4
Suppose -20*y = -19*y - 2, 3*v = -5*y + 76. Calculate the remainder when 71 is divided by v.
5
Let o = 29635 + -29589. What is the remainder when 1157 is divided by o?
7
Let m = -21587 + 36848. Calculate the remainder when m is divided by 96.
93
Let m be (-3)/(-10)*-2 + 6384/(-60). Let t = m + 111. Suppose 2*x = -5*u + 202, -t*x = -4*u + 14 + 170. What is the remainder when u is divided by 9?
6
Let g be (-4)/10 + (-3 - (-320)/50). Suppose 21 + 53 = 2*l + 3*q, -37 = -l + g*q. What is the remainder when 71 is divided by l?
34
Suppose 6*a + 5 = 89. Suppose 5*j - 25 = -4*i, 4*i - 1 = -j + 4. Suppose -a*p + 224 - 84 = i. Calculate the remainder when 78 is divided by p.
8
Let y = -85 - -102. Suppose y*j + 33 = 20*j. Suppose 5*s = s + 84. What is the remainder when s is divided by j?
10
Let g(k) = k**3 + 52*k**2 - 73*k + 105. Calculate the remainder when g(-53) is divided by 22.
21
Suppose 4*r = 426 + 506. What is the remainder when r is divided by 25?
8
Suppose -2*g - 5*z + 604 = -142, 0 = -3*g - 4*z + 1105. What is the remainder when g is divided by 122?
119
Let k = 10 + -8. Suppose q - 356 = 4*g + 35, -k*q - 4*g + 758 = 0. What is the remainder when q is divided by 35?
33
Let r be (4 + -3)/(12/48). What is the remainder when (-1)/((-5)/r) - (-461)/5 is divided by 47?
46
What is the remainder when 561 is divided by 175 - -1*(-11)/11*-6?
18
Let l = 65 - 60. Let t be (4/6)/(5/(3 - -12)). Suppose -t*s = l*s - 497. What is the remainder when s is divided by 15?
11
Let d(l) = -l**2 - 33*l + 23. Let v be d(-37). Let f = v - -128. Let r = 12 + 15. Calculate the remainder when r is divided by f.
0
Let a(p) = -111*p - 1140. Calculate the remainder when a(-11) is divided by 51.
30
Let o(s) = 5*s**2 + 205*s + 219. Calculate the remainder when 489 is divided by o(-41).
51
Suppose -2*i = -6*i + 208. Let c = i - 10. Let n = 71 - c. What is the remainder when n is divided by 12?
5
Let q(b) = -3*b**3 + b**2 - 4*b + 105. Let t be q(0). Suppose -1456 = -t*a + 97*a. Calculate the remainder when a is divided by 49.
35
Let t = -109 + 149. Suppose -t = o + 33. Let y = o + 95. Calculate the remainder when 37 is divided by y.
15
Suppose 4*i - 135 = 3*u + 8*i, 0 = 5*i. Let q = u - -50. Calculate the remainder when 31 is divided by q.
1
Let i = 36 - 13. Let k(y) = 10*y. Suppose -45 = -90*n + 85*n. What is the remainder when k(n) is divided by i?
21
Suppose 0 = 9*f - 4*f - 20. Suppose 4*h + f*k - 22 = 34, -2*k + 12 = h. Suppose h*g - 685 = -29. What is the remainder when g is divided by 15?
11
Suppose -3*s - 999 = -m + 966, s + 671 = -5*m. Let g = s + 740. Calculate the remainder when 332 is divided by g.
80
Suppose -v + 31 = -3*j, 0 = -2*j + 4*v + 3 - 17. Let a = j + 25. Calculate the remainder when a is divided by 25/3 + (-56)/168.
6
Let l be 2 + (-3384)/(-22) + 16/88. Let y = l - 146. Suppose o + 2*b = -o + 12, -2*b = -4*o + 24. What is the remainder when y is divided by o?
4
Let x(l) = -l**3 + 15*l**2 - 10*l - 25. Let q be x(15). Let g = 263 + q. Suppose 3*r - 298 = -g. What is the remainder when r is divided by 9?
7
Suppose -2 = i - 2*i. Suppose -5*b = -3*l - 303, -i*b = -5*l + 12 - 137. What is the remainder when 176 is divided by b?
56
Let p = -12 - -12. Suppose p = 4*f + 3*f - 14. Suppose f*s = s + 13. What is the remainder when 32 is divided by s?
6
Suppose 3*w - 918 = -5*q - 856, -4*w + 4*q = -104. What is the remainder when 1/4 - 299/(-4) is divided by w?
3
Let k(m) = 3*m + 24. Suppose -7 = 2*w - 3*w. Calculate the remainder when k(w) is divided by 23.
22
Let u(x) = 121*x + 5. Let k = -51 - -52. Let m be u(k). Suppose s - 61 = -5*r + 5, 2*s + 4*r = m. Calculate the remainder when s is divided by 19.
4
Let n(v) = 78*v**2 + 2*v**3 - 13*v + 9 - 87*v + 68*v**2 - 174*v**2. Calculate the remainder when n(17) is divided by 6.
1
Let y(x) be the first derivative of 2*x**2 - 27*x - 24. Let u be y(10). Let o = 18 - u. What is the remainder when 5 is divided by o?
0
Let z(k) = 2*k**2 - 24*k + 10. Suppose 5*h - 4*h - 5*c - 28 = 0, -3*h + 48 = -3*c. Let m be z(h). Let d = 39 - m. What is the remainder when d is divided by 2?
1
Suppose -40 = 4*n - 2*q, -8*n - 5*q = -12*n - 52. Calculate the remainder when 8260/n*1/(-10)*8 is divided by 69.
67
Let g = -21 + 47. Suppose i = -0*i + g. Suppose z = -2*s + 85, 3*s = 14*z - 16*z + 165. What is the remainder when z is divided by i?
23
Let r(p) = 6*p - 151. Let c = 102 - 63. Calculate the remainder when r(c) is divided by 21.
20
Let l(v) = 6*v + 60. Let t = 27 - 27. Suppose 0 = -t*m + m + 3*p - 5, -38 = -4*m - 3*p. What is the remainder when l(8) is divided by m?
9
Let x(m) = -79*m + 2. Let c be x(8). Let f = c - -689. What is the remainder when f is divided by 9?
5
Suppose -4*r + 42 = 3*b - 75, 0 = 5*r + 15. Suppose 5*u = 4*q - 1217, -2*q + 4*u + 812 = 196. Calculate the remainder when q is divided by b.
40
Let f(v) = 4*v - 19. Let y be f(25). Suppose -y = -c + 137. Suppose j + 34 = c. Calculate the remainder when j is divided by 37.
36
Suppose 0 = -2*z - 8 + 80. Suppose -8772 = -260*n + 192*n. What is the remainder when n is divided by z?
21
Suppose -5*d + 21 = -5*m + 6, 2*d - m = 6. Let t(k) = -29*k + 128. Calculate the remainder when 55 is divided by t(d).
14
Suppose 85 = 6*k - k. Let o(v) = -66*v - 3 + 3*v**2 + 3*v**2 - 66*v + v**3 + 128*v. Calculate the remainder when o(3) is divided by k.
15
Let y(k) be the first derivative of 104*k**3/3 - 5*k**2/2 + 8. What is the remainder when y(-1) is divided by (-4)/6 - 86/(-3)?
25
Let n = 86 + -86. Suppose 18*m + 6*m - 168 = n. Calculate the remainder when 30 is divided by m.
2
What is the remainder when 1475/3 + 651/279 is divided by 15?
14
Suppose -2*x - 6*r = -7*r - 684, -5*x + 1696 = r. Let a = -326 + x. Calculate the remainder when a is divided by 6.
2
Suppose 0 = 6*i - 5*i - y - 118, y + 4 = 0. Let l = i + -106. Suppose l*q + 13*q - 1344 = 0. Calculate the remainder when q i