he remainder when z is divided by 7.
4
Let a = 10037 - 10008. What is the remainder when 1527 is divided by a?
19
Let w = 1823 - 448. Suppose -2*a = 9*a - w. Let h = a - 37. Calculate the remainder when h is divided by 13.
10
Let u(i) = -i**2 - 9*i - 14. Suppose -12 = -g - 4*x, -5*g - 9 + 0 = -3*x. Let m be 1/4 - ((-200)/(-32) - g). What is the remainder when 10 is divided by u(m)?
2
Suppose 32*j + 51 - 371 = 0. Suppose -j*f = -3*f - 273. Let v(g) = 16*g**2 + 3*g + 1. What is the remainder when v(3) is divided by f?
37
Let u(j) = j**3 - 2*j**2 - 5*j - 3. Suppose 3*f - 2*f + 4*m + 8 = 0, 23 = 2*f - 5*m. What is the remainder when 566 is divided by u(f)?
8
Let t(q) = -q - 49 + 48 + 3*q - q. Let i be t(6). Suppose 0 = -i*c - 3 + 208. What is the remainder when 80 is divided by c?
39
Let v be (2622/9)/(24/36). Let c = -400 + v. Suppose -2*q + 39 = q. What is the remainder when c is divided by q?
11
Let u(h) = h + 2. Let r(x) = -1. Let b(q) = -3*r(q) - u(q). Let f be b(-10). Suppose -f*c + 2*c = -270. Calculate the remainder when c is divided by 7.
2
Suppose -6*x - 11*x = -31*x. Suppose x = -5*i + 11*i - 90. Calculate the remainder when 72 is divided by i.
12
Suppose 0 = a - 2 - 19. Suppose -t + 4*r - 3*r = 0, 0 = -4*t - 3*r + a. Calculate the remainder when 22 is divided by t.
1
Calculate the remainder when -6*(2 + (-1288)/16) is divided by 21.
9
Let v(f) = 4*f - 2. Suppose 0 = -4*p + 83 - 67. What is the remainder when v(2) is divided by 60/(p/1)*(-1)/(-3)?
1
Let p(m) = -m**2 - 30*m - 135. Let g = -23 - -7. What is the remainder when p(-8) is divided by 0 + -2 - (g - 0)?
13
Let n(k) = -k**3 + 19*k**2 - 2*k + 283. Calculate the remainder when 1945 is divided by n(19).
230
Suppose -9569*g = -9570*g + 1136. What is the remainder when g is divided by 20?
16
Let t = -51 + -75. Calculate the remainder when 12/t + (-10825)/(-105) is divided by 23.
11
Let d(a) = 5*a + 10*a + 3*a**2 - 6 - 12*a + 3*a. Let c(z) = 2*z**2 - z - 2. Calculate the remainder when d(4) is divided by c(-4).
32
Suppose -3*o = 4*l - 298, 36*l = 37*l - 2*o - 58. Let w(g) = g**3 + 8*g**2 + g. Calculate the remainder when l is divided by w(-7).
28
Suppose -63*o = -70*o + 56. Suppose 2*j - o*j + 42 = 0. Let s = 69 + -44. What is the remainder when s is divided by j?
4
Let a be 2 + (3 - 5/3)*12. Let d(n) = -3*n - a*n - 3 - 11*n - 50*n. Calculate the remainder when d(-1) is divided by 10.
9
Let d = 11303 + -11283. What is the remainder when 917 is divided by d?
17
Suppose 0 = -4*p + 4*m + 8616, 4963*p - m = 4966*p - 6450. What is the remainder when p is divided by 154?
149
Let b = -53 - -55. Suppose 5*f + 11 = b*f - 2*a, 0 = -4*f - 2*a - 14. Calculate the remainder when (-180)/(f*1) - (-3 + 4) is divided by 16.
11
Let t(z) = 94*z + 667. Calculate the remainder when 137 is divided by t(-7).
2
Let r = 13046 + -13035. Calculate the remainder when 99 is divided by r.
0
Suppose -9*i + 3*a = -267, 2*i - 221 = 3*a - 185. Calculate the remainder when 2/6 + (-383)/(-3) is divided by i.
29
Suppose 4*p - 302*b - 5347 = -301*b, -4*p + 5343 = -5*b. Calculate the remainder when p is divided by 149.
145
Suppose 17*w - 12 = 14*w. Suppose -w + 1 = 3*r, -2*x + 110 = -2*r. What is the remainder when 214 is divided by x?
52
Suppose 3*l = -5*j - 193 - 106, 2*l = -j - 57. Let r = -29 - j. Calculate the remainder when 17 is divided by 27/5 + r/(-80).
2
Let t(h) = 12*h**2 + 2*h. Let r be t(-3). Suppose 0 = 1479*a - 1486*a + 378. Let p = r - a. What is the remainder when p is divided by 26?
22
Suppose o = -154 + 139. What is the remainder when 16 is divided by 18/o*(-3 + (-2)/6)?
0
Let s(f) = 22*f**2 + 5*f + 170. Let j(o) = -4*o**2. Let d(x) = -6*j(x) - s(x). What is the remainder when d(13) is divided by 28?
19
Let o = 8 - 5. Let a = 8626 - 8630. Calculate the remainder when (94 - -6*o/(-6)) + a is divided by 23.
18
Let y = -49246 - -49292. Suppose -2*v + 13 = -9. What is the remainder when y is divided by v?
2
Let p be -4 - (-10 + 3) - -555. Suppose 26*g - p = 20*g. What is the remainder when g is divided by (-144)/20*(-10)/3?
21
Let b(q) = 5*q**2 - 32*q - 204. Calculate the remainder when 322 is divided by b(-5).
79
Let p = -335 - -344. Suppose p*c = 1064 + 268. Calculate the remainder when c is divided by 17.
12
Suppose 37*k + 440 = 45*k. Suppose 4*z = k + 41. Calculate the remainder when 36 is divided by z.
12
Let i(w) = 11*w + 76. Let u be -2 + 5 - (12 + -3). Let h(m) = 36*m**2 + 2*m + 1. Calculate the remainder when h(-1) is divided by i(u).
5
Let s(z) = 21*z - 122. Let q(m) = 17*m - 121. Let u(c) = -6*q(c) + 5*s(c). Calculate the remainder when u(-6) is divided by 34.
30
Let v(k) = 28*k - 1471. Calculate the remainder when 160 is divided by v(54).
37
Suppose -34 = s - 38. Suppose 4*i - 116 = s. What is the remainder when (-1038)/(-9) + (-4)/(-6) is divided by i?
26
Let z be 4/(-16) - (-761)/4. What is the remainder when (z/114)/(2/36) is divided by 12?
6
Suppose 0 = 3*t - z - 1988, -82*z + 49 = -75*z. Calculate the remainder when t is divided by 109.
11
Suppose 0 = z + 6*k - 3*k - 2, -5*z - 2*k + 75 = 0. Calculate the remainder when 212 is divided by z.
8
Suppose -w - w = o - 44, -2*o - 5*w = -84. Let s = 181 + 252. Let l = s - 415. Calculate the remainder when o is divided by l.
16
Suppose -2*n = -400*a + 399*a + 729, 0 = 2*a + 2*n - 1446. Calculate the remainder when a is divided by 213.
86
Let m(i) = 2*i**3 + 6*i**2 - 9*i - 4. Let u be m(-4). Suppose u = -2*j - 3*n + 20, 2*j - 20 = -0*j - n. What is the remainder when 139 is divided by j?
9
Let d(i) = 90*i + 26. What is the remainder when 21921 is divided by d(1)?
113
Let s = 2182 + -2132. What is the remainder when 1698 is divided by s?
48
Suppose 5*l - 31*l + 345 = -3*l. Calculate the remainder when 343 is divided by l.
13
Let m(h) be the third derivative of h**4/3 - 41*h**3/6 - 275*h**2. What is the remainder when 22 is divided by m(7)?
7
What is the remainder when 241 is divided by (-1)/((-63)/1707) + (-8)/84?
25
Let p(a) = 20*a**2 + 38*a + 84. What is the remainder when p(-4) is divided by 79?
15
Suppose 2*s = -66 + 232. Let g = s - -124. Calculate the remainder when g is divided by 14.
11
Suppose -2*y = -2*t - 156, 4*y - 89 = 5*t + 218. Let o(n) = 8*n**2 + 444*n - 2399. What is the remainder when y is divided by o(5)?
20
Suppose -30*w = -659 + 269. Calculate the remainder when 3899 is divided by w.
12
Let p(m) = -51*m - 596. What is the remainder when p(-37) is divided by 17?
16
Let g = 34590 + -23053. Calculate the remainder when g is divided by 10.
7
Suppose -10*x - 98 + 1158 = 0. Let c = -82 + x. What is the remainder when 34 is divided by c?
10
Let n = -60 + 63. Suppose 0 = 3*b - 12 + n. Suppose -5*s - 2*u = -255, 0 = 2*s + 3*s + b*u - 250. What is the remainder when s is divided by 11?
9
Let n be (-8)/(112/(-77))*-2. Let l(d) = 15*d + 177. Suppose o = 5*o - 32. What is the remainder when l(n) is divided by o?
4
Suppose 8*s = 143 + 1. Let v(n) = n + 167. Let b be v(0). Suppose 5*m - 93 = 2*m - 3*w, 5*m = -w + b. Calculate the remainder when m is divided by s.
16
Let w = -680 + 695. Let d be (-2)/((-8)/(-6))*-6. Suppose -w*z = -d*z - 66. What is the remainder when 62 is divided by z?
7
Suppose c - 2 = -4*g, 0 = 4*g + 1 - 5. Let o(q) = -2*q**3 - 4*q**2 - 6*q - 8. Calculate the remainder when 82 is divided by o(c).
2
Let f(t) = 4*t + 93. Calculate the remainder when f(0) is divided by 83.
10
Suppose -4*h - 20 = -5*n, 5*n - 2*h + 0*h - 20 = 0. Suppose 3*a - 987 = -2*w - 37, n*a - 1268 = -4*w. What is the remainder when a is divided by 53?
51
Let s(m) = 19*m**3 + 1767*m**2 - 2*m + 121. Calculate the remainder when s(-93) is divided by 303.
4
Suppose -4*k - 28 = -p, 3*p = -16*k + 18*k + 44. Calculate the remainder when 200 is divided by p.
8
Suppose g = 5*c + 80, 20 = 3*g + 8*c - 82. What is the remainder when 47597 is divided by g?
47
Suppose 2*q + 4*j = -1056, q = -6*j + j - 543. Let x = q - -526. Let d = 152 - 98. Calculate the remainder when d is divided by x.
6
Suppose v = -6, 59*n + 2*v - 5383 = 54*n. Calculate the remainder when n is divided by 34.
25
Let h(d) = 9*d**3 - 9*d**2 - 9*d + 3. Let o(m) = -5*m**3 + 5*m**2 + 4*m - 2. Let p(z) = 3*h(z) + 5*o(z). Calculate the remainder when 55 is divided by p(3).
13
Let h = 225 - 146. Let r(c) =