9)/3.
30
Suppose n - 21 = 2*b, b - 9 = n - 2*n. Let h = n - 9. Suppose -216 = -2*i - 5*o, -h*i = -0*o - 2*o - 408. Calculate the remainder when i is divided by 35.
33
Suppose 176*t - 38463 = 35654 + 75307. What is the remainder when t is divided by 85?
84
Let x = 5664 + -5658. What is the remainder when 1859 is divided by x?
5
Let d(s) = -s**3 + 3*s**2 + 18*s - 1. Calculate the remainder when 335 is divided by d(5).
23
Let s(y) = 7*y**3 - 129*y**2 + 178*y + 36. Calculate the remainder when 393 is divided by s(17).
49
Let o be (2 - 3)/(1/1)*-156. Suppose -o = -13*i + 377. What is the remainder when i is divided by 21?
20
Let z(r) = -217*r - 968. Calculate the remainder when 395 is divided by z(-5).
44
Let c(r) = 2*r**2 - 213*r + 1984. What is the remainder when c(98) is divided by 86?
60
Let a = 40676 + -40627. Calculate the remainder when a is divided by 10.
9
Calculate the remainder when 2/17 - (61165/(-153) + 6/(-54)) is divided by 61.
34
Suppose 147*p - 1871 = 334. Calculate the remainder when 33 is divided by p.
3
Let b(z) = -2*z**3 - 15*z**2 + 32*z + 285. What is the remainder when 2674 is divided by b(-7)?
10
Suppose -139*w - 143*w = -307*w + 4225. What is the remainder when w is divided by 160?
9
Suppose -30 = 7*w - 17*w. Let u(b) = 36*b + 2. What is the remainder when u(w) is divided by 28?
26
Let w be (-2 - 1)/(90/2910). Let s = 63 + -15. What is the remainder when s is divided by -81 - w - (-3 + 1)?
12
Let t = 45 - 17. Let j(s) = s + 12. What is the remainder when 872/t - 6 - 1/7 is divided by j(-2)?
5
Suppose 5*c + 90 = 5*i, 6*i = 3*i - 5*c + 22. Calculate the remainder when 391 is divided by i.
13
Let y be ((-2)/4)/(1/(-8)). Let d(o) = o**3 - 2*o**2 - 5. Suppose -3*n - 101 - 379 = -4*n - 2*n. Calculate the remainder when n is divided by d(y).
25
Let a(s) = 3*s**3 + 8*s + 4. Let o = -17 + 9. Let z = 11 + o. What is the remainder when a(z) is divided by 22?
21
Let s = -55 - 205. What is the remainder when 431 is divided by s/(-104)*352/10?
79
Suppose 5*q + 2*j = -2*j + 1720, -4*j = -3*q + 1064. Suppose -9*z = -q - 336. Let k = 97 - z. Calculate the remainder when 103 is divided by k.
19
Let r(l) = 128*l - 1099. Suppose 100 = 6*d - d. Suppose -2*t + t + 47 = 4*u, 0 = -u - 3*t + d. Calculate the remainder when r(9) is divided by u.
9
Let o = 8442 + -8367. What is the remainder when 585 is divided by o?
60
Suppose 3*c + 183 - 92 = 4*d, -4*c = -3*d + 126. What is the remainder when 359 is divided by (44/c)/(16/(-108))?
8
Let s(l) = 67*l - 9. Let m(w) = -3*w**2 + 20*w. Let q be m(6). Let f = q + -10. What is the remainder when s(f) is divided by 32?
29
Suppose -8650 + 6610 = -12*c. Calculate the remainder when 1887 is divided by c.
17
Suppose 0 = -5*h + r + 3764, 2*h - 611 = -4*r + 899. What is the remainder when h is divided by 69?
63
Let h = 32045 + -31840. Calculate the remainder when h is divided by 115.
90
Suppose m - 14 = 4*d, 2*m + 5*d - 5 - 49 = 0. Suppose -5*k + 202 = m. Calculate the remainder when 164 is divided by k.
20
Suppose 2*t = 5*n - 39, 5*n - 12 - 13 = -5*t. Let x = n - 3. Calculate the remainder when 3 - (-17 + x)/(2/12) is divided by 12.
9
Suppose -208 = -8*c + 432. Calculate the remainder when 149 is divided by c.
69
Let x be 57362/(-8) - -2*(-1)/(-8). Calculate the remainder when (-1)/(x/1194 - -6) is divided by 34.
29
Let i = 12133 + -12061. What is the remainder when 1001 is divided by i?
65
Suppose 92*n = -77*n + 106977. What is the remainder when n is divided by 210?
3
Let a(q) = q**2 + 4*q + 2. Suppose 46*n = 44*n + 82. Suppose 0 = 2*b - b + 5*o - 44, 2*o = -b + n. What is the remainder when b is divided by a(-5)?
4
Let o(q) = -19*q + 159. Let h(u) = -9*u + 80. Let z(t) = -5*h(t) + 3*o(t). What is the remainder when z(3) is divided by 27?
14
Suppose 0 = 3*d - 11*v + 9*v - 66, 5*d = 3*v + 110. What is the remainder when d is divided by 154/(-33)*(-18)/7?
10
Suppose 0 = 197*t + 472 - 3624. Calculate the remainder when 1755 is divided by t.
11
Let g(s) = 12*s**2 + 376*s + 191. What is the remainder when 1003 is divided by g(-31)?
65
Suppose 0 = 112*m - 116*m - 24, c + m = 206. What is the remainder when c is divided by 2?
0
Let m(x) = x**3 - 21*x**2 - 17*x + 47. Let l be m(21). Let y = -121 - l. What is the remainder when y is divided by 24?
21
Let l(x) = -2*x**3 + 226*x**2 - 219*x - 458. What is the remainder when 5404 is divided by l(112)?
100
Suppose -2*m - c + 140 = c, 3*c = 0. Suppose -39663 = -310*i + 24197. What is the remainder when i is divided by m?
66
Let m(g) be the second derivative of -g**3/6 + 4*g**2 - 3*g. Calculate the remainder when (-323)/68*-12 + -15 is divided by m(-7).
12
Let c = 411 + -374. What is the remainder when 4328 is divided by c?
36
Let i = 29 - 6. Suppose 52 = -13*n + 13. What is the remainder when i is divided by (-54)/15*(11/(-2) - n)?
5
What is the remainder when (-30)/16*-220*48/30 is divided by 104?
36
Let x = 1 + 5. Suppose 5*a - 20*q - 28 = -17*q, -2*a - 5*q = -5. Suppose 7 = -l + a*i, -3*l + 3*i + 31 = i. Calculate the remainder when l is divided by x.
1
Let o = 21 - 2. Suppose -18*j - 8 = -22*j. Calculate the remainder when 95 + ((-1)/(-3))/(j/(-12)) is divided by o.
17
Calculate the remainder when -4*(-12)/120 - (-6468)/30 is divided by 7.
6
Suppose 0 = -36*s + 35*s - 44. Suppose -9*o + 10 = -4*o. What is the remainder when (s/(-6))/((-196)/105 + o) is divided by 8?
7
Suppose -4*j + 5*r = -6*j + 46, 3*r = 0. Let i(n) = -39*n - 7. What is the remainder when i(-4) is divided by j?
11
Suppose -i + 3 = -8. Let n be 2 + (0 - -2) - (-40)/2. Calculate the remainder when (2 + n/(-7))*-14 is divided by i.
9
Suppose 12*b = 13*b + 5*t - 69, -t - 267 = -5*b. Suppose -2057 = -9*f - 356. What is the remainder when f is divided by b?
27
Let w(u) = -4*u + 195. Let t(x) = -8*x + 391. Let v(f) = -2*t(f) + 5*w(f). Suppose -5 = -d + 3. Calculate the remainder when v(43) is divided by d.
5
Let i(a) = -67*a + 1292. Calculate the remainder when i(17) is divided by 52.
49
Let f(r) be the second derivative of 19*r**3/6 - 93*r**2/2 - 2*r. What is the remainder when 41 is divided by f(6)?
20
Let k be (-36)/(-8) - (-5 + 45/10). Suppose k*r = 3*w + 39, -3*r - w + 11 = -2*r. Calculate the remainder when 426/27 + (-2)/(-9) is divided by r.
7
Let j(m) = 52*m**2 - 279*m - 827. Calculate the remainder when j(-3) is divided by 37.
34
Suppose 5*x - 1146 = -4*q, -3*q + 861 = 2*x + x. Suppose -5*u = 0, -5*u + q = 5*g - 406. What is the remainder when g is divided by 281/8 - 37*23/6808?
34
Suppose 52 = -13*g + 767. Let b = 119 - g. Calculate the remainder when 124 is divided by b.
60
Suppose 197*c - 79041 - 120404 - 75370 = 0. Calculate the remainder when c is divided by 120.
75
Suppose -11*n + 8*n = -12. Suppose n*r + 145 = 645. Calculate the remainder when r is divided by 4/42 - (-880)/21.
41
Suppose 9163 = 75*n + 2113. Calculate the remainder when 559 is divided by n.
89
Let t(c) = 469*c**2 + 5*c - 9. Calculate the remainder when t(-2) is divided by 124.
121
Let u(d) = d + 8. Let z be u(-8). Suppose -307*l + 70 = -302*l. What is the remainder when l is divided by 1/2*(z + 6)?
2
Suppose w + 3843 - 3768 = r, -3*r + w + 211 = 0. Suppose -4 = -4*u + 28. What is the remainder when r is divided by u?
4
Let x(d) = -349*d + 7. Let u(w) = w + 1. Let j(z) = -4*u(z) + x(z). Let v be j(-2). Suppose v = 15*a + 94. Calculate the remainder when a is divided by 15.
11
Suppose 0 = -5*i + 2*p + 14864, -2660*i + 2662*i + 3*p = 5957. What is the remainder when i is divided by 17?
16
What is the remainder when (129 - -3)/12 + 433 is divided by 14?
10
Suppose 0 = 151*i - 148*i + 1035. Calculate the remainder when 91 is divided by ((-4)/5)/(6/i).
45
Suppose u + 10 = -4*i, 18 = 3*u - 0*i - 4*i. Suppose -3*d = u*d - 180. Suppose d*m - 34*m - 2 = 0. Calculate the remainder when 1 is divided by m.
0
Suppose -2017*x + 2012*x + 7200 = 0. What is the remainder when x is divided by 137?
70
Let b = 12 - -68. Suppose 3*a = -18*u + 15*u + 84, 0 = 3*u + 2*a - b. What is the remainder when u is divided by 10?
4
Let m = -13237 - -13319. Calculate the remainder when 2797 is divided by m.
9
Let v(x) = 3*x**2 - 61*x + 673. What is the remainder when v(9) is divided by 97?
76
Let v = 497 - 456. Let t = v + 46. What is the remainder when 259 i