et p be 82/10 + (-26)/130. Suppose 11*n - p*n - 75 = 0. What is the remainder when 110 is divided by n?
10
Let m(y) be the first derivative of -y**4/4 + y**3 + 7*y**2/2 + 13*y + 96. What is the remainder when m(4) is divided by 13?
12
Let w be ((-13)/28 - 6/(-8))*14. Suppose 3*v + 53 = 6*v - w*o, -2*o = v - 1. Let c(z) = z**2 - 8*z - 13. What is the remainder when v is divided by c(10)?
4
Let t be (-4*(-42)/(-16))/((-1)/(-2)). Let j = t + 100. Calculate the remainder when j is divided by 10.
9
Suppose -3*l - 7504 = -q, 36*q - 32*q + 4*l = 30160. What is the remainder when q is divided by 9?
7
Let t(x) = -25*x + 25. Let y be t(6). Let r = -180 - y. Let a = -26 - r. What is the remainder when a is divided by 8?
5
Let a(b) = -b**2 - 12*b - 8. Suppose 0 = 4*h + 3*o - 55 - 11, -44 = -2*h + 4*o. Calculate the remainder when a(-10) is divided by (-9)/h - 26/(-4).
0
Let i(y) = -y**3 - 10*y**2 + 140*y - 13. Calculate the remainder when 188 is divided by i(-18).
11
Suppose 9*v = 10*v - 5. Let m(w) = w**2 - 12*w + 42. What is the remainder when 53 is divided by m(v)?
4
Let x(v) = -4*v + 16. Let m be x(0). What is the remainder when ((-2)/(-4))/((-3)/(-738)) is divided by 294/m + (-6)/16?
15
Suppose 0 = -10*k - 7203 + 21263. What is the remainder when k is divided by 7?
6
Let x = 39 + -12. Suppose 5*i + 2*u = 38, 29*i + u = 26*i + 22. What is the remainder when x is divided by i?
3
Let y = 46 - -370. What is the remainder when (1 - (6 + -3)) + y/13 is divided by 9?
3
Let n = 2255 + 557. Calculate the remainder when n is divided by 32.
28
Suppose 4*m - 5 = -6*f + f, -f + m + 1 = 0. Let t = -62 + 103. What is the remainder when t is divided by (f*3)/(483/154 + -3)?
19
Suppose -168*x = -161*x - 105. What is the remainder when 879 is divided by x?
9
Let o be (-19 + 2)/(15 + -16). Let m(q) = -q**3 + 18*q**2 - 11*q + 14. Calculate the remainder when m(o) is divided by 17.
14
Suppose 191 = 15*a - 274. Suppose 0*q = -q + 244. Calculate the remainder when q is divided by a.
27
Let r = -217 + 218. What is the remainder when (-28)/4*((-12)/3)/r is divided by 6?
4
Let o = 26 + -26. Suppose 0 = -4*d - 13 + 5, 4*n - 2*d - 332 = o. Suppose 5*u + 5*a + n = 7*u, -4*u + 164 = a. What is the remainder when 244 is divided by u?
39
Suppose 74 = y + 65. Let q(r) = -2*r**2 + 35*r + 79. Calculate the remainder when q(18) is divided by y.
7
Suppose 0 = -3*x - 4*b + 38, 0 = -3*x + 67*b - 64*b + 24. Calculate the remainder when 57 is divided by (725/125)/((-2)/x)*-1.
28
Suppose -4*y = 4*t - 96, -7*t + 3*t = -4*y + 96. Let g(q) = 5*q - 4 - y + 2. What is the remainder when 53 is divided by g(9)?
15
Suppose -6 = -x + 24. Suppose 4225 = 64*y - 39*y. Suppose 181*t = y*t + 660. What is the remainder when t is divided by x?
25
Let r(f) = f**2 - f. Let i be r(-1). Suppose 2*k - 5*l - 6 = 3*k, 64 = 4*k - i*l. What is the remainder when 45/((-52)/117 - (-46)/36) is divided by k?
12
Let v(n) = 4670*n**2 + 876*n + 1760. What is the remainder when v(-2) is divided by 31?
26
Suppose 35 + 27 = 2*d. Suppose -2*o - 4*j + 206 = 0, -5*o + 2*j + 688 = 185. Calculate the remainder when o is divided by d.
8
Let u be 225/(-50)*8/(-3). Calculate the remainder when -6 - u/(24/(-550)) is divided by 55.
49
Suppose 4876*y + 4125 = 4881*y. Suppose 5*s + 5*l = 132 - 37, 1 = l. What is the remainder when y is divided by s?
15
Let p be (-1)/(((-7)/2373)/1). Suppose a - p = -268. What is the remainder when 635 is divided by a?
67
Let h = 2926 - 1770. What is the remainder when h is divided by 129?
124
Suppose 0 = -2*n, 0*b - 2*n + 12 = b. Suppose -5*l = b*l - 544. Calculate the remainder when 41 is divided by l.
9
Let l = -148 + 115. Calculate the remainder when 775 is divided by 54/(-297) - 699/l.
19
Suppose -2*a = 25*a + 14*a - 25461. What is the remainder when a is divided by 83?
40
Suppose -100 - 125 = -5*f. Suppose -f + 41 = -4*y. What is the remainder when 5 is divided by y?
0
Suppose -26 - 98 = -4*w. Suppose 2*j - 3*a + 7*a - 518 = 0, 0 = 4*j - 3*a - 1069. Suppose -261*y + j*y = 64. Calculate the remainder when w is divided by y.
15
Let p = -1673 + 2600. What is the remainder when p is divided by 117?
108
Let a(z) = -10*z + 50. Let r be a(5). Suppose -2*b + 174 = 2*u - 436, -5*b = r. Calculate the remainder when u is divided by 34.
33
Suppose -u + 5*u = -124. Let g = 5 + u. Let c = g + 70. Calculate the remainder when c is divided by 12.
8
Let m(t) be the second derivative of -t**5/20 - t**4/3 + 3*t**3 + 33*t**2 + 45*t. Calculate the remainder when 55 is divided by m(-6).
25
Let i(z) = -23*z**2 - 123*z**3 + 29*z + 122*z**3 + 0*z + 136. Calculate the remainder when 1373 is divided by i(-24).
13
Suppose -36*y - 24*y - 7320 = -17520. What is the remainder when y is divided by 57?
56
Let l be (1/(3/(-522)))/((-56)/28). Let m(j) = j + 5. Calculate the remainder when m(6) is divided by (58/l)/((-2)/(-21)).
4
What is the remainder when (-3)/(-4 - (-202)/(-50) - -8) is divided by 30?
15
Suppose -46*w + 18*w = -56. Suppose w*a + 119 = 4*d - a, d - 5*a = 34. Calculate the remainder when d is divided by 18.
11
What is the remainder when 760 is divided by 16*-5*((-4)/5)/1?
56
Suppose 0 = -12*j + 3624 + 600. Suppose 14*c + j = 36*c. What is the remainder when 287 is divided by c?
15
Suppose 9*n + 14260 = 40648. Calculate the remainder when n is divided by 584.
12
Suppose 0 = w - 3*c - 384, 2*w + 56 - 819 = 5*c. Suppose 6*v = 4*v + 148. Calculate the remainder when w is divided by v.
73
Suppose -95*f - 18*f + 385632 = 93*f. What is the remainder when f is divided by 75?
72
Suppose -21*q - 964 = -17*q. Let a = q - -271. Calculate the remainder when a is divided by 10.
0
Suppose -113 = -48672*a + 48670*a + 5*z, -298 = -5*a - 3*z. What is the remainder when (1882/6)/(2/6) is divided by a?
56
Let q = 20734 + -20539. Calculate the remainder when 383 is divided by q.
188
Let r(u) = -2*u**2 - 204*u + 93. What is the remainder when 11622 is divided by r(-102)?
90
Let y = 1655 + -1632. Calculate the remainder when 85 is divided by y.
16
Let t(k) = -k**3 - 48*k**2 - 2*k - 92. Let r be t(-48). Let y = 7 + -3. Suppose -p + r = q, p + y*q = -0*p - 2. Calculate the remainder when p is divided by 5.
1
Let m(h) = -h**3 + 4*h**2 + 9*h - 1. What is the remainder when 3 - 15/(210/(-13174)) is divided by m(4)?
34
Calculate the remainder when 74*2/(-4)*-25 is divided by 283.
76
Suppose 0 = 3*f + f - 4. Let y = f - -2. Calculate the remainder when ((-330)/(-99))/(((-2)/(-17 - -5))/1) is divided by y.
2
Let q(i) = -14*i**3 + 3*i + 2. Suppose -56*h + 138 = -10*h. Calculate the remainder when q(-1) is divided by h.
1
Calculate the remainder when 1015 is divided by (-88 - -94)*(-2 + (-105)/(-6)).
85
Let u = -5390 + 5425. Let l be -8*(-2 + 0 + 0). Suppose p - 3 - l = 0. Calculate the remainder when u is divided by p.
16
Let i(x) = 2*x**2 + 61*x + 53. What is the remainder when 79 is divided by i(0)?
26
Let b(d) be the first derivative of -d**3/3 + 8*d**2 + 5*d - 52. What is the remainder when b(15) is divided by 15?
5
Suppose -5*y - 3*c = -711, 2*c + 1228 = 3*y + 809. Calculate the remainder when 652 is divided by y.
88
Suppose 687*y = 795*y - 7884. Calculate the remainder when y is divided by 52.
21
Let b = 442 - 13. What is the remainder when b is divided by 4/(-16)*(1 + -173)?
42
Let g(i) = 13*i + 200. Calculate the remainder when 227 is divided by g(-15).
2
Suppose -q - 3 = 3*g, -q + 0*g + 3 = g. Let s(v) be the second derivative of 5*v**3/2 - 31*v**2 + 901*v. Calculate the remainder when 108 is divided by s(q).
24
Let q = 14669 - 14275. What is the remainder when q is divided by 198?
196
Let p = -358 - -396. What is the remainder when p is divided by 180/(-108)*(-24)/5?
6
Let p(l) = -4*l**2 - 14*l - 67. Let y be p(-9). Let a = y - -268. Calculate the remainder when 2*4 + (1 - 0) is divided by a.
0
Suppose -937 = -14*x + 71. Suppose -p + k + x = 3*k, p = -k + 68. What is the remainder when 250 is divided by p?
58
Let y = 2264 - 2234. What is the remainder when 323 is divided by y?
23
Suppose 212256 = 86*a + 58*a. Calculate the remainder when a is divided by 248.
234
Suppose 4*r + 5*y - 4*y = 9230, -2*y + 6930 = 3*r. What is the remainder when r is divided by 56?
10
What is the remainder when 140 is divided by ((-231)/(-44))/(15/(-8))*-50