 Suppose 2*x = -5 + y. Calculate the remainder when 43 is divided by x.
13
Let o = 0 - -42. Let s = o - 39. Suppose 20 = 2*q + 4*w, 4*q - s*w = -q + 37. What is the remainder when q is divided by 5?
3
Calculate the remainder when 5/((-9610)/(-2390) - 4) is divided by 121.
118
Suppose 3*q - q - 5*h = -13, -4*q + 49 = 5*h. Let y(v) = 26*v + 31. What is the remainder when y(q) is divided by ((94/4)/((-12)/(-24)))/1?
46
Let d(b) = -28*b + 81. Let w be d(0). Suppose 0 = -w*j + 85*j - 124. Calculate the remainder when 52 is divided by j.
21
Suppose 4*s + 111 = -3*z + 381, 0 = s. Let g = -60 + z. What is the remainder when 96 is divided by g?
6
Let v be (-6)/2 + 0/(-4). Let y(j) = -552*j + 6093. Calculate the remainder when y(11) is divided by 39*(4/v)/(-4).
8
Let f = 2261 + -2159. What is the remainder when 602 is divided by f?
92
Let a = -7169 - -7210. What is the remainder when 1142 is divided by a?
35
Suppose -32 = 2*i + 5*v, -v + 24 - 4 = -4*i. Suppose 0*c - 6*c = -24. What is the remainder when c is divided by (-28)/i - 10/75*5?
0
Calculate the remainder when (-34815)/(-66)*-3*20/(-6) is divided by 220.
215
Suppose 0 = -23*r + 1476 - 625. Calculate the remainder when r is divided by 3.
1
Suppose 27*b - 44 = 26*b. Suppose 0 = 2*y + 102 - 256. Calculate the remainder when y is divided by b.
33
Let k = -16313 - -18616. What is the remainder when k is divided by 33?
26
Suppose -2*p - 5*u + 12 = 24, u = -4. Suppose -p*x = -2*s - 3202, 3*x - 2415 = -0*x - 3*s. What is the remainder when x is divided by 11?
10
Suppose -68 = -3*g - k, k + 52 = 3*g + 6*k. Let n(f) = f**3 - 17*f**2 - 16*f - 32. Calculate the remainder when g is divided by n(18).
0
Suppose 326 = -50*f + 1792 + 2484. Calculate the remainder when 1256 is divided by f.
71
Let r be (-2)/(-4)*(-3 - -332 - 7). Suppose 2*d - 4 = 0, -r = -4*h - 5*d + 53. Calculate the remainder when h is divided by 19.
13
Suppose -1460*f + p - 9309 = -1463*f, -2*f + p + 6206 = 0. Calculate the remainder when f is divided by 97.
96
Suppose 4*r - 6 = 6. Suppose 0 = 2*x - 4, 2*p - r*x = -6*x + 16. Suppose p*v - v = -l + 29, -v = l - 41. Calculate the remainder when l is divided by 6.
3
Suppose 79*a + 2720 = 179*a - 83*a. What is the remainder when 2397 is divided by a?
157
Let h(s) = -2339 + 2*s**3 - 3*s**2 - 12*s + s**3 + 2338. Calculate the remainder when h(3) is divided by 10.
7
Suppose d = 6*d + 10, -3*d + 655 = g. Suppose g*r - 662*r = -61. What is the remainder when 120 is divided by r?
59
Suppose 110*r - 48 = 27342. Calculate the remainder when 29877 is divided by r.
246
Let c(k) = -2*k**3 - 4*k**2 + 3*k + 4. Let w be c(-4). Let v = -29 + w. What is the remainder when v is divided by 11 - (45 - 55) - (-30)/(-2)?
3
Let y = -1619 + 2042. Calculate the remainder when y is divided by 71.
68
Let m = 222 - 215. Suppose -3*g - 2*q = -44, 4*g - m*g = -5*q - 37. What is the remainder when 181 is divided by g?
13
Let f = 2 - 1. Let o = -16895 - -16915. What is the remainder when (0 + 36)*(2 - f) is divided by o?
16
Let v = 7069 + -6983. Calculate the remainder when 249 is divided by v.
77
Suppose 9*z - 98*z + 15486 = 0. Calculate the remainder when z is divided by 30.
24
Suppose 0 = -0*m + 3*m - 4*b - 77, -m + 3*b = -24. Let x(w) = m + 4*w**2 - 2*w**2 + 2*w**2 - 3*w**2 - 12*w. What is the remainder when x(14) is divided by 28?
27
Suppose -k - 1796 = 11*l - 14*l, 2*l = -2*k + 1192. Calculate the remainder when (-6 + (l - 2))/2 is divided by 11.
9
Suppose 132 + 1588 = 20*k. What is the remainder when 688 is divided by k?
0
Suppose u = 2*w + 17 + 63, -5*u = -3*w - 113. Let v = 37 + w. What is the remainder when v/(-24) + 3*(-303)/(-54) is divided by 6?
5
Suppose 19*i - 67139 - 87295 = -3973. What is the remainder when i is divided by 40?
39
Let a = 16815 + -15984. Calculate the remainder when a is divided by 378.
75
Let r(a) = a**3 - 7*a**2 - 231*a - 26. What is the remainder when 11 is divided by r(-12)?
1
Suppose 3*x + 7 + 11 = 0. Let a(u) = 2*u**3 + u**2 + u + 7. Calculate the remainder when a(3) is divided by (4 - 0)*(-57)/x.
35
Let p be (-24)/(-2)*(9 - 189/18). Let n(h) = -32*h**3 + h**2 - 1. What is the remainder when 183 - 2*p/(7 - 1) is divided by n(-1)?
29
What is the remainder when (792/(-81) - -12)*63 is divided by 27?
5
Let r(j) = 3*j**2 - 11*j + 122. Let t be r(-24). Suppose -12*s = -t + 590. What is the remainder when s is divided by 13?
10
Suppose l = -4 + 5. Calculate the remainder when (6/9)/(1772/1764 - l) is divided by 22.
15
Suppose -2*s = s - 3*w - 330, 0 = 5*s + 2*w - 543. Let i = s - 26. Let k(o) = -3*o + 109. Calculate the remainder when i is divided by k(29).
17
Suppose 0 = -3*a - 9, -5*w + 3515 = -8*a + 3*a. Calculate the remainder when w is divided by 182.
154
Suppose 5*v = 5, 0 = 65*y - 70*y + v + 129. What is the remainder when 7694 is divided by y?
24
Let b(t) = -5*t**3 + 2*t + 1. Suppose -4*c = -66*k + 62*k - 2216, -5*c = 2*k + 1073. Let v = k - -558. Calculate the remainder when v is divided by b(-1).
1
Let t = -579 - -583. Suppose u - 284 = 5*p, u + 282 = 2*u - t*p. What is the remainder when u is divided by 14?
8
Let f = -5871 + 6004. Calculate the remainder when f is divided by -3 - (-20 - (-2 + 2)).
14
What is the remainder when 2034 is divided by 1/((-1)/(-185))*(-1294)/(-1294)?
184
Let b = 131 + -48. Let c = 78859 + -78856. What is the remainder when b is divided by c?
2
Let j be (6 + -4)*(-2 - 3). Let o(f) = 4*f**3 - 4*f**2 - 3*f + 6. Let p be o(4). What is the remainder when (-4)/j + 0 + p/10 is divided by 5?
4
Let s = -7392 - -7812. What is the remainder when s is divided by 52?
4
Let a(f) = 24*f - 221. Calculate the remainder when 714 is divided by a(10).
11
Suppose 0*h = -2*t + h - 8, 0 = 3*t - 4*h + 22. What is the remainder when 1*(75 - t/(-2)) is divided by 29?
16
Suppose 10*g - 126 - 54 = 0. Let w = -15 + g. Calculate the remainder when 130 is divided by w.
1
Suppose -p = -11*g - 76, -p - 2*g - 303 = -327. What is the remainder when p is divided by 1 - -2 - (6 - 30)?
5
Suppose 7112 = -1813*i + 1821*i. Calculate the remainder when i is divided by 11.
9
Let l(q) = 55*q - 2609. What is the remainder when 3259 is divided by l(52)?
247
Suppose 0 = -6*w - 0*w + 450. Suppose 6*q + 56 + 280 = 0. Let v = w + q. Calculate the remainder when v is divided by 8.
3
Let s(r) = 33*r**2 + 127*r + 5. What is the remainder when s(-9) is divided by 171?
167
Let a be (-8)/(-4) - (-101 + 4/(-4)). Let v = a + -70. Suppose -20*x + 18*x + 128 = 0. What is the remainder when x is divided by v?
30
Let k(g) = 8 - 70*g + 3 - 10. Let a be k(-1). Let n = a + -32. Calculate the remainder when n is divided by 14.
11
Let t be -3*-1*(5 + -6 + 2). Suppose -2*j = -t*c - j + 52, 44 = c + 5*j. Calculate the remainder when 1538 is divided by c.
18
Let r(w) = -2*w - 10. Let q be r(-3). What is the remainder when 57 is divided by q/16 - 50/(-8)?
3
Suppose 0 = -54*n + 9759 + 447. Calculate the remainder when n is divided by 16.
13
Suppose 2*g + 10 = 0, 5*r = g + 3*g + 105. Suppose 5*v - 3*u - 119 = 0, -v + u + 20 = -5. Let a = v + 7. What is the remainder when a is divided by r?
12
Let f = 572 + -535. Suppose -45*j = -f*j - 280. Calculate the remainder when j is divided by 32.
3
Let b(n) = -2*n**2 + n + 2046. Let a be b(0). Calculate the remainder when 55 is divided by (-2)/20 + a/60.
21
Let y(u) = -u + 2. Let h(g) = -3*g + 33. Let m(z) = -2*h(z) + 10*y(z). What is the remainder when m(-13) is divided by 5?
1
Suppose 11063 = 2*w + 2291. What is the remainder when w is divided by 107?
106
Let s(k) = 4*k**2 + 15*k + 24. Let q be s(8). Calculate the remainder when 121 is divided by -5*(6/(-16) + (-3130)/q).
39
Let a = 8083 + -6620. What is the remainder when 2934 is divided by a?
8
Suppose 2*u + 6 = 0, 5*w - u = 4*u + 640. Let o(k) = 14 + k**3 + 10*k**2 - 64*k + 71*k - 16. Calculate the remainder when w is divided by o(-9).
13
Let k = -14834 - -17158. What is the remainder when k is divided by 36?
20
Let h(r) be the first derivative of 2*r**3 - 20*r**2 - 8*r + 1283. Let f be 4/6 - (-38)/6. Calculate the remainder when 33 is divided by h(f).
3
Let k(o) = -15*o + 9. Let q(z) = -z**2 + z + 1. Let l(b) = k(b) + q(b). Let n be l(-7). Let y = n + -29. What is the remainder when 56 is divided by y?
26
Let y(p) = p**3 - 17*