- 68 = 0, -2*p - 46 = -3*l. Suppose 5*w + 2*y = l, 5*w + 4*y - 6 = 2. What is the remainder when 14 is divided by w?
2
Suppose -4 + 0 = -4*u + 4*k, -5*u = 4*k + 13. What is the remainder when ((-72)/(-90))/((-123)/(-120) + u) is divided by (3 - 1)*22/4?
10
Let p = 246 - 239. Calculate the remainder when 42 is divided by p.
0
Let b(c) = 65*c**3 - c**2 - c + 6. Let l(g) = -64*g**3 + g**2 + g - 5. Let q(t) = 6*b(t) + 7*l(t). What is the remainder when q(-1) is divided by 12?
11
Let d(y) = 18*y - 132. Calculate the remainder when d(39) is divided by 82.
78
Let p(c) = -2*c**3 - 10*c**2 - 5*c - 17. Calculate the remainder when 111 is divided by p(-5).
7
Let k(p) = 1 - p**2 - 2 - 12*p + 23 + 5*p. Calculate the remainder when 7 is divided by k(-9).
3
Let x be 1 + -4 + 21/3. Suppose 9*c = 4*c + x*q + 226, -3*c = q - 122. What is the remainder when 83 is divided by c?
41
Suppose -2*j - 3*d + 88 = -0*d, -5*j + 2*d = -182. Suppose -11 = -4*h + 5. Suppose 0 = h*m - 33 - 7. Calculate the remainder when j is divided by m.
8
Suppose -1081*i - 1070 = -1091*i. What is the remainder when 107 is divided by i?
0
Suppose -9*i + 6*i + 9 = 0. Suppose 2*r - 4*z - 8 = 0, 3*r - 13 - 1 = 5*z. What is the remainder when r is divided by i?
2
Calculate the remainder when (-562)/(-14) - 3/21 is divided by 12 - 6 - (-5)/1.
7
Let s = 138 - 81. Let m = 78 - s. Calculate the remainder when 228 is divided by m.
18
What is the remainder when (1/2)/((-6)/4)*-411 is divided by 48?
41
Let o = 80 + -63. Suppose -10*s = -6*s - 136. Calculate the remainder when s is divided by o.
0
Let r = -21 + 102. Let o = r + -29. Calculate the remainder when 206 is divided by o.
50
Suppose -10 = 2*r - 0*r, 5*q - 205 = -4*r. Let c = 3 + q. What is the remainder when c is divided by 17?
14
Suppose 0 = -4*t - 19 + 19. What is the remainder when 28 is divided by 148/10 + t - (-3)/15?
13
Let m(y) = 8*y**2 + y - 2. Suppose 2*g = 2*s + 4, 4*g + 19 = -3*s + 48. Suppose -s*b + 57 = 12. Calculate the remainder when m(-2) is divided by b.
13
Let f(o) = -11*o - 1. Let a(c) = 11*c + 1. Let k(l) = 3*a(l) + 4*f(l). Let b be k(2). Let d = 48 + b. Calculate the remainder when d is divided by 13.
12
Let j be (-2)/(-8) - (-1670)/8. Let l be (-1)/4*-4*j. Let f = -122 + l. Calculate the remainder when f is divided by 22.
21
Let u(m) = -29 - m - 17*m - 9*m - 7*m. What is the remainder when u(-4) is divided by 22?
19
Let k = -58 + -43. Let q = -50 - k. Calculate the remainder when q is divided by 13.
12
Let i = 287 - 68. Suppose 55*k = -p + 54*k + 45, k + 87 = 2*p. Calculate the remainder when i is divided by p.
43
What is the remainder when (-4)/(24/378)*-3 is divided by 49?
42
Suppose 3*u - 8 = 13. Suppose 0*b + 5*b - 5 = 0. Suppose 3*s + 2*f = 9, 4*f + 6 = -s - b. Calculate the remainder when u is divided by s.
2
Let x(q) = 8*q**2 + 32*q + 32. What is the remainder when 277 is divided by x(-1)?
5
Suppose 0 = 4*m + 19*j - 21*j - 318, 3*j - 9 = 0. Calculate the remainder when 85 is divided by m.
4
Let b(m) = -m**2 - 11*m - 9. Let h be b(-6). Calculate the remainder when (-6)/(-4)*98/h is divided by 6.
1
Let x = 67 - -82. Let n = x + -129. Calculate the remainder when 78 is divided by n.
18
Let w(y) = 2*y**3 - 12*y**2 - 13*y + 9. Let m = 68 - 61. What is the remainder when 46 is divided by w(m)?
14
Suppose 3*b = 6*b + 2*x - 173, 244 = 4*b - 4*x. Let i = b + -41. What is the remainder when 48 is divided by i?
12
Let t = -284 + 402. What is the remainder when t is divided by 17?
16
Let b = 26 - 16. What is the remainder when 28 is divided by b?
8
Calculate the remainder when 37 is divided by (4/(-2) + 7)*(0 + 1).
2
Suppose o + o + 4 = 0, -2*p - 4*o = 34. Let k = -52 + p. Let f = k - -104. Calculate the remainder when f is divided by 21.
18
Suppose s + 3*s = 80. Let v = -93 + 92. Calculate the remainder when s is divided by v/(-2)*(-25)/((-200)/112).
6
Let c = 37 - 36. Suppose k = -c + 24. Calculate the remainder when k is divided by -1 + 2 + 13 - 2.
11
Suppose 12 = 2*l - 11*f + 9*f, 4*l - 25 = 3*f. Suppose 2*t - t + 6 = 3*v, -5*t + 2*v = 30. Let b = 11 + t. What is the remainder when l is divided by b?
2
Suppose 0 = -2*d + 7*d - 585. Suppose j = 2*f + 140, 0 = 5*f - j + 130 + 220. Let m = -40 - f. What is the remainder when d is divided by m?
27
Let n(a) = a**3 + 18*a**2 + 60*a - 32. Suppose -x = o - 1 - 7, 34 = 5*x - o. What is the remainder when n(-13) is divided by x?
5
Let p(y) = y**3 - 11*y**2 + 14*y - 26. What is the remainder when p(11) is divided by 28?
16
Let d = -217 + 119. Let c = -10 - d. What is the remainder when c is divided by 30?
28
Let i(j) = -196*j + 14. Let g(u) = -3*u**3 + u**2 + u + 1. Suppose -s - 2 = -0*s. What is the remainder when g(s) is divided by i(0)?
13
Suppose -h = p - 9, 0 = 6*p - p - 5*h - 45. Let i = -3 + 28. What is the remainder when 6/p + (-3 - 226/(-3)) is divided by i?
23
Let x = 0 - -6. Suppose 0 = -3*o + 8 + 7. Suppose 19 = l + 5*q, o*l + 5*q - q - 32 = 0. What is the remainder when x is divided by l?
2
Let m(n) = n**3 + n**2. What is the remainder when 11 is divided by m(1)?
1
What is the remainder when 38 is divided by 3 + 1 - (-5)/(40/64)?
2
Let a(h) = h - 7. Let d = -1 + 12. Let g be a(d). Suppose 9*b - g*b = 160. Calculate the remainder when b is divided by 11.
10
Suppose -7*d = -8*d. Suppose -z + 3*o = -9, -4*z + d*o + 9 = -3*o. Suppose 4 = -2*q, z = 5*y - 0*y + q - 23. Calculate the remainder when 12 is divided by y.
2
Let y(d) = d**3 + 6*d**2 - 11*d - 8. Suppose -v = 5*q - 287, 0*q + 4*v = -q + 65. Let z = q + -20. What is the remainder when z is divided by y(-7)?
17
Let i = 18182 - 18154. Let c = -15 - -25. Calculate the remainder when i is divided by c.
8
Let q(y) = 143*y - 1123. Calculate the remainder when q(8) is divided by 9.
3
Let a = -11 + 16. Suppose 0*q + 31 = q + 2*c, -116 = -5*q + 3*c. Let i = q + -6. Calculate the remainder when i is divided by a.
4
Suppose 2*c = -3*w + 130, -58 + 243 = 4*w + 5*c. Let t = 99 - w. Suppose -2*j = -61 + 21. What is the remainder when t is divided by j?
19
Suppose -33*c = -29*c - 508. Suppose -6*x + 11*x = 3*t + 745, 5*t = x - c. Calculate the remainder when x is divided by 51.
50
Let v(k) be the second derivative of k**4/2 + k**3/6 - k**2 + 10*k. Let a be v(2). Let i = 31 - a. Calculate the remainder when 12 is divided by i.
5
Calculate the remainder when 76 is divided by 4/26 + (14 - (-228)/39).
16
Calculate the remainder when (4 + 88/(-20)*1)*-160 is divided by 9.
1
Let n be 19/3*3/1. Let z = 29 - n. Suppose -494 = -8*y - 5*y. Calculate the remainder when y is divided by z.
8
Suppose 3*s - s + 4 = 0. What is the remainder when (s + -252)*(1 - 3/2) is divided by 16?
15
Suppose -33*z + 2178 = -20361. What is the remainder when z is divided by 49?
46
Let d = -47 + 48. What is the remainder when 23 is divided by d/(3 + 47/(-16)*1)?
7
Let u(r) = 3*r**2 - r - 7. Let o(k) = -4*k**2 + k + 11. Let f(d) = 5*o(d) + 7*u(d). What is the remainder when f(-7) is divided by 18?
15
Let r(p) = 2*p**3 - p**2 - 5*p + 3. What is the remainder when r(3) is divided by (19 - (3 + -4)) + -3?
16
Calculate the remainder when 404 is divided by 16*(-11)/44*-6.
20
Let a(m) = -29*m + 10. Let s = -82 - -78. Calculate the remainder when a(s) is divided by 32.
30
Suppose 3*t + 3*d + 789 = 5*t, t + 2*d = 412. What is the remainder when t is divided by 45?
42
Let t(i) be the second derivative of -i**5/20 + 11*i**4/12 - 17*i**3/6 - 3*i**2 - 29*i. What is the remainder when 10 is divided by t(9)?
1
Let v = 202 - 147. What is the remainder when 163 is divided by v?
53
Suppose 9*g = 6*g - 2*v + 835, 4*g - 3*v - 1102 = 0. What is the remainder when g is divided by 48?
37
Let q be (-4)/(-18) + (-50)/(-18). Let c = -3368 - -3384. Calculate the remainder when (-4)/6 - (-134)/q is divided by c.
12
Suppose -54*b + 69*b - 810 = 0. Calculate the remainder when b is divided by 10.
4
Let c = 4 + 1. Calculate the remainder when 78 is divided by c.
3
Let g(f) = -11*f**3 - 7*f**2. Calculate the remainder when 8 is divided by g(-1).
0
Suppose -5 = 10*f + 65. Calculate the remainder when 59 is divided by (-1)/f + 1 + (-97)/(-7).
14
Suppose 0 = 2*i + 2*g - 110, 240*i - 122 = 238*i - 5*g. Calculate the remainder when 54 is divided by i.
3
Let i be -1 + 10 - (2 - 5). Let d = -98 + 