210 = p*c. Suppose -v + 59 = -88. What is the remainder when v is divided by c?
12
Let m(x) = -1351*x + 4079. Suppose 3*n - 3*u - 21 - 840 = 0, 2*n - 554 = -3*u. What is the remainder when n is divided by m(3)?
23
Suppose 4*n + u + 0*u = 0, -5*n = -2*u. Suppose n = 7*r + 7 + 14. What is the remainder when (r - (-2)/1)/(-1) - -83 is divided by 29?
26
Let d = -522 + 625. Calculate the remainder when d is divided by 30*(-7)/(175/(-15)).
13
Let z = 13 + 1. Let t be (-27 + 21)*(-23)/3. Suppose -t = -6*p + 2. What is the remainder when z is divided by p?
6
Let p = -272 + 315. What is the remainder when p is divided by (-98)/980 + (-41)/(-10)?
3
Let u = -71 - -69. Let w be u*((-8)/(-4) - -17). What is the remainder when 1/(2/(-105))*76/w is divided by 36?
33
Suppose 5*i = -v + 240, -5*i + 10*i - 15 = 0. Suppose -226*h + 34 = -v*h. What is the remainder when h is divided by 30?
4
Let y(x) = -7*x**3 + 15*x**3 + 3*x + 6 - 10*x + 20*x**2 - 5*x**3. Calculate the remainder when 177 is divided by y(-7).
3
What is the remainder when 380/20 - 0/(6 - 0) is divided by 11?
8
Suppose l - 3*f = 5*l - 207, 3*f - 159 = -3*l. Let m = -22625 + 22640. Calculate the remainder when l is divided by m.
3
Let k(r) = -8*r - 56. Let y be k(-19). Let d = y + -75. Suppose -w - h = -7, -4*w = 3*h + 2*h - 27. Calculate the remainder when d is divided by w.
5
Calculate the remainder when 748 is divided by (42/12)/((-161)/42 - -4).
13
Let z = -69 + -11. Let o be (z/3)/(-4)*(-51)/(-68). Suppose 2*j - 5*h + 113 = 3*j, -o*h - 625 = -5*j. Calculate the remainder when j is divided by 14.
11
Suppose 5*v - 1891 = -26*v. Calculate the remainder when 175 is divided by v.
53
Suppose 3*i - 23 = -l, -6*i + 5*i + 59 = 4*l. Let n = 62 - 4. Suppose -57*k + n*k - l = 0. Calculate the remainder when 37 is divided by k.
9
Let b(a) = 3*a - 27. Calculate the remainder when 131 is divided by b(13).
11
Let r(a) = -a**3 + 3*a**2 - 28*a - 212. Let p be r(-7). Let j = p - 419. What is the remainder when j is divided by 2/(-4) - (-41)/2?
15
Suppose 51078*c - 780 = 51073*c. Calculate the remainder when 431 is divided by c.
119
Let g = -13190 + 13305. What is the remainder when 918 is divided by g?
113
Suppose 2*b = 4*r + 129 + 131, r = -5*b + 694. Suppose -105 = -11*t + 49. Calculate the remainder when b is divided by t.
12
Let r = 12570 + -11103. Calculate the remainder when r is divided by 64.
59
Suppose -p = 3*p + j - 8, -4*p - 5*j + 24 = 0. Suppose 0 = -k + p, u + 5*k + 3 = 3*k. What is the remainder when 69 - (3 + u + -1 - -2) is divided by 30?
10
Let h = 57 - 30. Suppose -7*d - 27*d + 1768 = 0. Calculate the remainder when d is divided by h.
25
Let n = 249 - 245. Suppose -5*v + 660 = n*j, 2*v = -4*j + 219 + 45. Calculate the remainder when v is divided by 24.
12
What is the remainder when 887 is divided by 6 + ((-117)/(-26))/((-9)/6)?
2
Suppose 4*a - 10*u = 370, 0 = -6*a + 5*a + 3*u + 92. Calculate the remainder when 390 is divided by a.
10
Let n(h) = h + 414. What is the remainder when n(-28) is divided by 39?
35
Let y(w) be the third derivative of 7*w**5/30 - w**4/12 - w**3/6 - 5*w**2 + 6. Calculate the remainder when 153 is divided by y(1).
10
Suppose 2*r + 185 = -b + 2*b, 5*r + 5 = 0. Let j(m) be the second derivative of -7*m**3/6 - 3*m**2/2 - 19*m. What is the remainder when b is divided by j(-7)?
45
Let j(a) = 7*a + 117. Let s be j(-8). What is the remainder when s/305 + (-524)/(-5) is divided by 19?
10
Let g(h) = -37*h**2 - 9*h - 43. Let j be g(-3). Let q = 352 + j. What is the remainder when 17 is divided by q?
2
Suppose 0 = 156*y - 971 - 2617. What is the remainder when 131 is divided by y?
16
Let w(t) = 3*t**3 - 13*t**2 + 61*t - 120. Calculate the remainder when w(9) is divided by 32.
27
Let u(s) = -s**2 + 4*s + 8. Let t(d) = d**2 - 3*d - 9. Let b(h) = -6*t(h) - 7*u(h). Calculate the remainder when 681 is divided by b(12).
21
Let v = -414 - -718. Let f = v - 286. Calculate the remainder when 50 is divided by f.
14
Let z = 11 + -8. Suppose 24*u = -4*k + 20*u + 48, 0 = -2*k - 5*u + 27. What is the remainder when k is divided by (-2 - -2) + 2 + z?
1
Let t = 34 + -29. Suppose -5*v - 77 = -4*g, t*g - 32 = 3*g - 4*v. Let l = 5 - -64. What is the remainder when l is divided by g?
15
Let q = 182 - 178. What is the remainder when (-2 - 2 - -24)*(q + 3) is divided by 24?
20
Let g be 16/(-60)*(-8 + -747)*3. Suppose 9*v - 242 - g = 0. Calculate the remainder when v is divided by 8.
6
Suppose 50 = -30*k + 230. Let a(n) = n**3 - 3*n**2 - 8*n + 1. Calculate the remainder when 301 is divided by a(k).
57
Let a(w) = -105*w**2 + 123*w + 2. Let b = -2 - -72. Calculate the remainder when b is divided by a(1).
10
Suppose -3*r + 7*r - 80 = 0. Let v be (12/9)/(-4*6/(-72)). Suppose 0 = -4*w + r, -n - 28 = -3*n - v*w. Calculate the remainder when 9 is divided by n.
1
Let b = -19 + 38. Calculate the remainder when 77 - ((-119)/(-28) - 4/16) is divided by b.
16
Suppose 1716 = 530*a - 515*a - 489. What is the remainder when 426 is divided by a?
132
Suppose 3*r - 3*t = -0*t + 12, -t = -2*r + 10. What is the remainder when 201 is divided by 1342/44 - r/4?
27
Let v(y) = 9*y**2 + y - 2. Let b(w) = w**2 - 40*w + 226. Let l be b(34). Suppose 9*x + 910 = l*x. What is the remainder when x is divided by v(2)?
34
Let x = -2552 + 3098. Calculate the remainder when x is divided by 108.
6
Suppose 0 = 736*m - 663*m - 11753. Calculate the remainder when m is divided by 20.
1
Suppose 0 = g + 4*x + 11, 0 = g - 2*x + 3 + 2. Let v(n) = 6*n + 3. Calculate the remainder when v(4) is divided by -4 - (g - -5)*(1 + 3).
3
Let f(a) = 2*a**2 - 17*a - 19. Suppose 3*x = 0, 16 = -5*s - x - 14. Calculate the remainder when f(s) is divided by 33.
23
Calculate the remainder when (12 + (-161)/14)/(-3 - 3045/(-1014)) is divided by 35.
29
Let z(f) = -f**3 + 8*f**2 + 10*f - 12. Suppose -24 = -4*x + x. Let a be z(x). Let v = 98 - a. Calculate the remainder when v is divided by 11.
8
Let m = -2255 + 2281. Suppose 0 = -3*u + 9, -21 = -5*t + u + 51. What is the remainder when m is divided by t?
11
Suppose 4*j = -5*h + 4500, -247*j = -243*j + 4*h - 4500. What is the remainder when j is divided by 226?
221
Let f(c) = 405*c**2 - 8*c - 7. Let k = 19 - 20. Calculate the remainder when f(k) is divided by 51.
49
Let l(a) = 2*a**2 - 34*a - 314. What is the remainder when 102 is divided by l(24)?
14
Suppose 2477*b + 1890 = 2491*b. What is the remainder when 361 is divided by b?
91
Let w(k) = -39*k + 1151. Calculate the remainder when 113 is divided by w(27).
15
Let b(f) = f**2 + 29*f - 171. What is the remainder when 4795 is divided by b(-35)?
37
Let a = 27 + -25. Suppose -140 = -3*c - 2*c. What is the remainder when c is divided by a/5 + (-143)/(-55)?
1
Suppose 4*x - 5*t + 26 = 88, -4*x - 4*t = -80. Let i(s) = s**2 - 12*s + 54. Calculate the remainder when i(x) is divided by 34.
26
Let u = 3017 + -2473. Calculate the remainder when u is divided by 110.
104
Let k = 24 - 27. Let c = 34 + k. Suppose 3*r = c - 4. What is the remainder when r is divided by 4?
1
Suppose -4 = -5*v + 16. Suppose v*c - 21 + 69 = 4*k, -2 = -k - c. Suppose 0 = k*x - 65 + 2. Calculate the remainder when 17 is divided by x.
8
What is the remainder when 1971 is divided by 5/(-1) - (-58)/29 - -984?
9
Let p be (14 + -13)*(-2)/(-1). Suppose 5*b + h - 125 = 6*h, p*b + 5*h = 43. What is the remainder when 67 is divided by b?
19
Let k = 100 - 89. Suppose k*d - 12 = 7*d. Suppose 80 = 4*y - 2*y + d*b, -y + 3*b = -22. Calculate the remainder when y is divided by 14.
6
Let c = 913 + -905. Let u = 81 - -138. Calculate the remainder when (-2)/(-5) - u/(-15) is divided by c.
7
Let n(w) = -76 - 163 + 35*w + 315. What is the remainder when n(9) is divided by 14?
13
Suppose 346 - 4386 = 20*n. Let j = n + 236. Suppose -5*l + w = -49, w + 14 = 2*l + 2*w. Calculate the remainder when j is divided by l.
7
Let q be (1 + (-31)/7)/(58/(-203)). What is the remainder when 49 is divided by (-14)/35*-15 + q?
13
Suppose 2884 = 4*t - 2*f, 2*t = 7*t - f - 3596. What is the remainder when t is divided by 38?
34
Let n = 331 - -196. Suppose -4*s + n = -h, 0*h = -h + 1. Calculate the remainder when s is divided by 1680/49 - 2/7.
30
Let q(n) = -n**3 + 2*n**2 + 3*n + 3. Suppose -44*r = -49*r + 10. What is the remainder when q(-2)