he remainder when 117 is divided by t(-7).
57
Let a(k) be the first derivative of k**3/3 - 7*k**2 + 5*k + 2. What is the remainder when ((-1)/3)/((-1)/42) is divided by a(14)?
4
Suppose 92 + 24 = 29*b. Calculate the remainder when 493 is divided by b.
1
Let c = -3151 - -3200. What is the remainder when 1075 is divided by c?
46
Let z = 33336 - 32932. Calculate the remainder when z is divided by 1 + 0 + 4*2.
8
Suppose 0 = 41*y - 64*y + 368. What is the remainder when 2733 is divided by y?
13
Calculate the remainder when 2837 is divided by (11/2 + 3)/(-5 + (-220)/(-40)).
15
Let a(z) = -4*z**3 + 3*z**2 - 2. Let w be a(-2). Let i be 2/12*-1 - 245/w. Let h = 9 + i. Calculate the remainder when 3 is divided by h.
0
Suppose 7*m - 542 - 1313 = 0. Calculate the remainder when 144 + (2/(-11) - m/55) is divided by 70.
69
Let y(o) = -2472*o + 18. Calculate the remainder when 1810 is divided by y(0).
10
Let u(g) = 16*g**3 + 2*g - 1. Let f(d) be the first derivative of d**3 - 10*d**2 + 2*d - 218. Calculate the remainder when f(9) is divided by u(1).
14
Suppose 3*z - 31 = 4*b, z + 33 = -3*b - 0*z. Let t(p) = p**2 + 11. Let j(s) = -69*s - 1283. Calculate the remainder when t(b) is divided by j(-19).
27
Suppose 4*p + 10*p = -0*p + 15008. Calculate the remainder when p is divided by 38.
8
Let y be (1 - 3)/(7 + (-115)/15). What is the remainder when (y - 6 - -400)*(2 + -1) is divided by 50?
47
Let z(u) be the second derivative of -2*u**3/3 + 20*u**2 - 18*u. Let i be z(-8). Calculate the remainder when 114 is divided by 25 - (i/42 - (-6)/21).
22
Suppose -4*f + 484 = -k, -3*f + k + 124 = -2*f. Calculate the remainder when f is divided by 22.
10
Let l = -17392 - -17464. What is the remainder when 1343 is divided by l?
47
Let r = 49 - 46. Suppose 5*n - 43 = -r*h, -3 = -2*h - h. Suppose -3*q + 50 = 2*g, -3*g + n*g = -10. What is the remainder when 42 is divided by q?
6
Let m = 2 - -9. Calculate the remainder when (942/20 - (-110)/275)/((-4)/(-8)) is divided by m.
7
Calculate the remainder when (-8263)/(-14) + 747/(-3486) is divided by 314.
276
Suppose 0 = -2*k + 4*u + 1010, 6*k + 22*u - 24*u - 3010 = 0. What is the remainder when k is divided by 25?
1
Suppose -2*q - 10 + 146 = 0. Let d = q + -64. Calculate the remainder when 41 is divided by 4*(108/16 - d).
8
What is the remainder when ((-1 - 0)*(-340)/136)/(10/2780) is divided by 152?
87
Let b be (-2 - (0 - 0)) + -48. Let y be 8*(8 - (-43)/(-2)). Let z = b - y. What is the remainder when z is divided by 20?
18
Let m(g) be the second derivative of -3*g**3/2 - 15*g**2 - 3*g - 4. Calculate the remainder when m(-23) is divided by 30.
27
Let v(i) = -i**3 - 5*i + 3. Suppose 19 = 2*y + 3*d - 27, -83 = -3*y - d. Suppose -y = -2*w + w. Calculate the remainder when w is divided by v(0).
2
Let x(t) = -12*t + 13 - 12*t - 33 - 66. What is the remainder when x(-11) is divided by 46?
40
Let c(s) = -s**2 + s + 2. Let g(d) = -d**2 + d + 3. Let p(o) = -6*c(o) + 5*g(o). What is the remainder when p(3) is divided by (-4975)/2985*((-1)/(-5) - 2)?
0
What is the remainder when 293 is divided by (-1)/5 + (14 - (-16849)/145)?
33
Let d be 1*((-10)/(-4))/(3/(-66)). Let y = d + 57. Suppose 4*s - 76 = 4*r, -5*r = -0*s - y*s + 47. What is the remainder when 25 is divided by s?
9
What is the remainder when 357 is divided by (141/846 - 1894/(-12)) + 3?
35
Suppose 44*w - 4*w = -49*w + 1068. Calculate the remainder when 49 is divided by w.
1
Let l(x) = x**2 + 12*x - 374. Let c(d) = -d**3 + 8*d**2 - 8*d + 1. Let s be c(7). What is the remainder when l(-27) is divided by (s*(0 + 2))/(-1)?
7
Let h(i) = -i**2 + 8*i - 11. Let q be h(5). Suppose -4*g - 5*f + 3*f = -474, 0 = q*g - 5*f - 495. Calculate the remainder when g is divided by 11.
10
Suppose -4*c + 1251 = -18*u + 13*u, -3*c - u + 943 = 0. Calculate the remainder when 638 is divided by c.
10
Suppose 1056 = -426*k + 432*k. Calculate the remainder when 15*(9/6)/(120/k) is divided by 18.
15
Let d(x) = 2*x**3 - 18*x**2 - 8*x + 1. Let y be d(7). Let k = y + 303. Calculate the remainder when k is divided by 35.
17
Let i(z) = -3*z**2 + 3*z - 9. Let k be i(4). Calculate the remainder when (-1720)/k - 4/18 is divided by 5.
3
Let x(n) = 16*n**2 + 2*n + 5. Let b(v) = -v**2 + 48*v - 527. What is the remainder when x(3) is divided by b(23)?
11
Suppose 15*j - 13 = 17. Suppose 23 = i + 5*l, -3*i - j*i + 5*l = -85. What is the remainder when 50 is divided by i?
14
Suppose d + 4*l - 41 = 0, -3*d - 10*l + 144 = -5*l. Calculate the remainder when 854 is divided by d.
6
Let s = -5193 - -5216. Calculate the remainder when 284 is divided by s.
8
Let l = -3045 + 3179. Calculate the remainder when 799 is divided by l.
129
Suppose 2*f + 5*y = -0*f + 5, 0 = -2*y - 6. Let v = f + -8. Suppose 4*d + 108 = 2*p, 0*d - v*d + 42 = p. What is the remainder when p is divided by 13?
9
Let k(z) = -z**2 + 15*z + 13. Let a = -6037 - -6072. What is the remainder when k(9) is divided by a?
32
Let f = 20 + -14. Suppose 2*z + f = 0, -m - 4*m + z = 62. Let p(g) = -g**2 - 12*g + 29. Calculate the remainder when 30 is divided by p(m).
14
Calculate the remainder when 495 is divided by ((-138)/5)/((7 - 4)*6/(-150)).
35
Let y(t) = t**2 - 11*t - 24. Let o(f) = 10*f + 70. Let p(s) = -s**2 - 9*s - 19. Let k be p(-7). What is the remainder when y(16) is divided by o(k)?
16
Suppose 257546 = 317*z - 10*z - 170719. What is the remainder when z is divided by 21?
9
Let k(i) = 3*i**3 - 75*i + 220. What is the remainder when 3641 is divided by k(3)?
69
Let i be 1/(30/(-4)) + 25936/120. Let h = 231 - i. Suppose -5*y - 60 = 3*u - 258, -5*u - 20 = 0. Calculate the remainder when y is divided by h.
12
Let h = 175 - 142. What is the remainder when h is divided by 7?
5
Suppose 7721*c - 455 = 7708*c. Calculate the remainder when 1462 is divided by c.
27
Let l = 25479 - 16064. Calculate the remainder when l is divided by 107.
106
Suppose 8*w + m - 4130 = 3*w, -m + 4*m = 0. Calculate the remainder when w is divided by 26.
20
Let l = 228 - 173. Suppose -l*k + 50*k = -1475. What is the remainder when k is divided by 74?
73
Let m = 124 - 121. Suppose -5*a + 688 = 4*n, -m*a - 5*n + 172 = -233. What is the remainder when a is divided by (-2)/8 + 53/4?
10
Let n = -48944 - -49037. Suppose -4*g - 345 = -1085. What is the remainder when g is divided by n?
92
Suppose 110*r = 10*r + 500. Suppose -600 = -4*x - 216. Suppose x = -3*q + r*q. What is the remainder when q is divided by 17?
14
Suppose -21*f + 6*f = -30. Let i = 66 + -38. Calculate the remainder when i is divided by -5 + f - (-36 - -25).
4
Let v = 72 + 6. What is the remainder when v is divided by (-2)/(-21) - ((-435)/63 - 11)?
6
Suppose -130*x = -118*x - 48. What is the remainder when 68 is divided by (-8 - -14 - x)*(14 + -1)?
16
Let l = 20860 - 20830. What is the remainder when 762 is divided by l?
12
Let a = 1914 - 1911. Let t = -2 + 7. Suppose 46 = a*w - t. Calculate the remainder when 33 is divided by w.
16
Let u = 25 + 5. Suppose -u = -6*f + 18. Suppose 0 = -3*t + f + 46. Calculate the remainder when 71 is divided by t.
17
Let b(a) = -7*a + 66. Suppose 0 = 3*l, 2*i - i - 147 = -4*l. Calculate the remainder when i is divided by b(4).
33
Suppose 2*o - 51 = 4*b - 435, -b - 569 = 3*o. Let a = -295 - o. Let x = 124 + a. What is the remainder when 93 is divided by x?
17
Suppose 3*j + 2 = 17. Suppose 0 = -0*l - l + j*z - 16, 0 = z - 4. Suppose 19*d + 209 = 30*d. What is the remainder when d is divided by l?
3
Let o = 9304 + -9295. What is the remainder when 29 is divided by o?
2
Suppose -7*h = -3*t + 262, t - 18 = -4*h + 25. What is the remainder when 1060 is divided by t?
66
What is the remainder when 235 is divided by 6138/36 - -1 - 2/(-4)?
63
Let f(p) = 12*p**2 + p + 259. Let z(r) = 22*r - 66. Let q be z(3). What is the remainder when f(q) is divided by 29?
27
Let n = 243 + 1. Let a = -240 + n. Suppose -w - o + 3 + 3 = 0, w - o - 12 = 0. Calculate the remainder when w is divided by a.
1
Suppose 2*v = 2*g + 3084, -6195 = -4*v - 50*g + 51*g. Calculate the remainder when v is divided by 487.
90
Calculate the remainder when (50/3)/((6/20)/(23409/578)) is divided by 133.
122
Let a(r) = r**3 - 47*r**2 - 198*r - 232. Calculate the remainder when 663 is divided by a(51).
71
Suppose 0 = 1708*s - 1704*s. Suppose 13*b - 9*