ate the remainder when n is divided by m.
23
Suppose 5*s + 4445 = 3*x, -6*x + x = -5*s - 7425. Suppose 781 = 230*r - 219*r. Calculate the remainder when x is divided by r.
70
Let b(t) = -21*t + 186. Let q be b(22). Let r = -224 - q. What is the remainder when 154 is divided by r?
50
Let m(l) = -l**3 + 4*l**2 - 17*l + 87. Suppose 10*g + 1036 - 1076 = 0. Calculate the remainder when 138 is divided by m(g).
5
Let n(p) = 2*p + 0*p - 1 + 2*p - 5*p. Let o(b) = -b**2 - 6*b - 5. Let k(f) = 4*n(f) - o(f). Calculate the remainder when 5 is divided by k(-3).
1
Let t(l) = l - 36. Let x be t(40). Let o be (-32)/(-6) - (-2)/(-6). Suppose 0 = o*r - x*r - 22. What is the remainder when 65 is divided by r?
21
Suppose 2*x + 13487 = 5*w, -152*x + 8148 = 3*w - 147*x. Calculate the remainder when w is divided by 142.
3
Suppose 0*c = 5*c + 10. Let z = -7909 - -7980. What is the remainder when z is divided by 17 + (-4)/c + -4?
11
Let h(k) = k**3 + 24*k**2 + 33*k - 119. Let p be h(-21). Suppose -385 + p = 6*y. Calculate the remainder when y is divided by 4*(1 + 2/4).
3
Let z(n) = -n**3 - 44*n**2 - 129*n - 1621. Calculate the remainder when z(-42) is divided by 63.
17
Let k(a) = -a**2 - 3*a + 91. Let j be k(8). Suppose 0 = -j*t - 4*q + 329, t - 4*q = -5*q + 109. Calculate the remainder when t is divided by 66.
41
Let f = -3052 + 3133. What is the remainder when 186 is divided by f?
24
Let o(w) = 3*w**2 + 5*w - 10. Let t = -53 + 69. Suppose 6*s - 14 = t. Calculate the remainder when o(-4) is divided by s.
3
Calculate the remainder when 205 is divided by 2 - 0 - (108 + -122).
13
Suppose 2*f - 6 = 0, -4*c - 17*f = -16*f - 67. Suppose 5*n = -c*n + 1974. What is the remainder when n is divided by 48?
46
Suppose -b + 2217 - 2194 = 0. Let q be (1/3)/((-3)/(-72)). Suppose q = 4*i - 24. What is the remainder when b is divided by i?
7
Let v(z) = 12*z**2 - 20*z + 30. Calculate the remainder when 69 is divided by v(2).
31
Let a = -232 + 259. Suppose o = h - a, 5*h = h - 4*o + 100. Calculate the remainder when 111 is divided by h.
7
Let h(u) = -u**2 + 7. Let i be h(0). Suppose i*x = 24 + 4. What is the remainder when (-132)/((-1)/(x/6)) is divided by 18?
16
Suppose 4*p + 271 - 98 = n, -2*n + 4*p = -350. What is the remainder when n is divided by 20?
17
Let u = 1216 - 904. Calculate the remainder when u is divided by 13.
0
Let r = -236 + 240. Suppose -4*b - 168 = -2*k, r*b = b. What is the remainder when k is divided by 11?
7
Let b = -217 + 219. Suppose 2*t - 5*i = 69, -b*i + 46 = 3*t - 29. What is the remainder when 52 is divided by t?
25
Let j = -461 + 471. Let k = -2 - -4. Suppose 4*t + 64 = d, 3*d + 54 = 4*d - k*t. What is the remainder when d is divided by j?
4
Let r be (-2)/((-4)/66*-1). Let t = -20 - r. Let s = 2019 - 2011. Calculate the remainder when t is divided by s.
5
Let u = 28 + -27. Calculate the remainder when 1*((-15)/(-4))/((-6)/(-32)) is divided by u.
0
Suppose -15*r = -20 - 10. Suppose -3*v + 122 = -4*w, w = -3*v + r*w + 134. What is the remainder when 89 is divided by v?
43
Suppose 14609 = 4*c + d, -5*c - 4*d + 7497 = -10767. Calculate the remainder when c is divided by 21.
19
Let j = 1331 - 1331. Suppose 2*k - 4*b = -2*k, k = 4*b - 9. Suppose -u + 4*r + 42 = j, 8*u = k*u + 5*r + 195. What is the remainder when u is divided by 10?
8
Suppose 57*o = 61*o + 20, -5*o - 60 = -5*r. Calculate the remainder when 776 is divided by r.
6
Let p(f) = -f**2 - 10*f + 8. Let t be p(-13). Let q = 42 + t. Suppose q*i + 279 = 14*i. What is the remainder when i is divided by 26?
15
Let r(l) = 2*l**2 + l - 18. Let k = -102 + 142. Calculate the remainder when r(9) is divided by k.
33
Suppose -49*g + 47*g + 520 = 5*j, -4*j = 3*g - 423. What is the remainder when 260 is divided by j?
56
Suppose 5*z + 25 = 6*z. Suppose -f = -2*f - 16. What is the remainder when z is divided by 2 + (-7 - -1) - f?
1
Let a = 2419 - 2168. Calculate the remainder when a is divided by 29.
19
Let b(r) = 997*r - 1874. Calculate the remainder when b(8) is divided by 56.
54
Suppose -49*q = 3158 - 4383. Calculate the remainder when 18422 is divided by q.
22
Suppose -17*n = -11*n - 390. Calculate the remainder when 118 is divided by n.
53
Suppose 6*s = 1089 + 579. Suppose s = 2*n + 160. Suppose j - 6 = 2*a + 4, 0 = 5*j + 5*a - 125. What is the remainder when n is divided by j?
19
Let b be -4*(10/(-15) - (-10)/(-12)). Suppose v = b*v + 30. Calculate the remainder when 7 is divided by v/(-6)*4/((-8)/(-10)).
2
Let y(x) = x**2 - 15*x - 38. Let c be y(17). What is the remainder when 413 is divided by -1 + ((-1)/c)/(4/752)?
45
Let m(l) be the first derivative of -4*l - 2*l**2 - 1/3*l**3 + 7 + 1/4*l**4. Calculate the remainder when 5 is divided by m(3).
1
Let q(d) = d + 3. Suppose 2*l - 32 = -3*v, 5*v = v + 16. Suppose 14 = 12*f - 25 - 9. Calculate the remainder when q(l) is divided by f.
1
Let y = 3766 - 828. Calculate the remainder when y is divided by 17.
14
Suppose 5*f = -5*x + 18325, 5*x - 8896 = -3*f + 9423. Calculate the remainder when x is divided by 9.
8
Suppose 0*o + 216 = 8*o. Suppose 22*b - 19*b = o. Calculate the remainder when b is divided by 3.
0
Suppose 25*m = 24*m + 119. Suppose -p = 3*s - m, -2*p = 4*s - 7*p - 127. What is the remainder when s is divided by ((-2)/(-2))/(1/13)?
12
Suppose -4 - 11 = -5*a. Suppose 4*b + 3*z - 298 = 0, -300 = -b - a*b - 2*z. Suppose -5*r + 15 = -50. What is the remainder when b is divided by r?
11
Let j(a) = 5*a**3 - 4*a**2 + 11*a - 7. Let f be j(3). Calculate the remainder when f/1 + (-25)/5 is divided by 14.
8
Let c(l) = -13*l - 3. Suppose 5*z + 3*n + 37 = 0, 2*n - 12 + 30 = -2*z. What is the remainder when c(z) is divided by (-3 - -2)/(1 - 34/32)?
14
Suppose -32159 = -109*k + 27355. Calculate the remainder when k is divided by 116.
82
Let f be -11 + -5*(-62)/(-5). Let y(v) = 8*v + 5. Let n be y(-9). Let o = n - f. Calculate the remainder when 25 is divided by o.
1
Let g(y) = -2*y**3 + 37*y**2 + 21*y + 136. Calculate the remainder when 516 is divided by g(19).
168
Let y = -24 - -38. Suppose 470 + 10 = 16*c. Suppose -y*x = -9*x - c. Calculate the remainder when 22 is divided by x.
4
Suppose 207 + 305 = -2*d. Let w = 368 + d. Calculate the remainder when w is divided by (92/10)/((-20)/(-50)).
20
Let s(r) = -r**3 + 77*r**2 - 778*r + 2. Calculate the remainder when 55834 is divided by s(65).
130
Let p = -61 - -59. Let f(j) be the second derivative of 19*j**4/12 - j**3/6 - j**2/2 + 20*j. What is the remainder when f(p) is divided by 13?
12
Suppose 0 = p - 4*p + 132. Let o(k) = 2*k**2 - 11*k - 2. Suppose -5*r = -2*x + 33, -4*x - 5 = x. What is the remainder when o(r) is divided by p?
41
Suppose -h - 2*h + 1200 = 0. Suppose -1288 = 42*a - 2842. What is the remainder when h is divided by a?
30
Let z be 11772/(-81) + (2/(-3))/(-2). Let j(d) = -6*d**3 + 2*d + 1. Let b be j(-1). What is the remainder when b/(-20) - z/4 is divided by 13?
10
Calculate the remainder when (-26)/(988/(-513))*(-172)/(-6) is divided by 227.
160
Let z(x) = 5*x - 27. Let y be z(10). Let t(s) = s**3 - 24*s**2 + 27*s - 21. Calculate the remainder when 993 is divided by t(y).
70
Let w be (1 - 16/12) + 4/(-6). Let k = w + 167. What is the remainder when k is divided by 56?
54
Let o(t) = 83*t + 183. What is the remainder when 390 is divided by o(-2)?
16
What is the remainder when 1841 is divided by 2/(((-656)/2296)/((-20)/7 - -1))?
8
Let l = -881 - -881. Calculate the remainder when l - (-8376)/36 - (-2)/6 is divided by 77.
2
Suppose -10458 = -63*w + 47354 + 9220. Calculate the remainder when 2130 is divided by w.
2
Let n(l) = 7*l**2 - 31 - 2*l**2 + 88*l + 250*l - 74*l - 17*l**2. Calculate the remainder when n(21) is divided by 16.
13
Suppose 3*o = 5908 + 395. Let f be (o/22)/((-2 + 5)/6). Suppose 4*t - 2*h - 3*h - f = 0, 3*h - 101 = -2*t. What is the remainder when t is divided by 13?
10
Suppose y - 4 = -1, 0 = 4*p - 5*y + 3. Let m(g) = 1530*g + 5 - 3041*g + 1524*g + 3. What is the remainder when m(p) is divided by 25?
22
Let i be (35/(-2))/(116/(-56) + 2). Suppose 0 = 2*y + 3*g - 504, 2*y + i = 3*y - 2*g. What is the remainder when y is divided by 6?
3
Suppose h + 16 = -4*b, 0 = -0*h - 2*h + 4*b + 4. What is the remainder when 479 is divided by (-240)/(-36)*(-6)/h?
9
Suppose 0 = -3*z + 5*l + 29205, -74*l +