ppose 2*r - 3*r - 4*r = q. Suppose -5*n + 6*n - 4 = r. Calculate the remainder when 6 is divided by n.
2
Let w(u) = u**3 + 7*u**2 - 14*u - 33. Suppose -20*n + 21*n - 13 = 0. Let z = 43 + n. What is the remainder when z is divided by w(-8)?
11
Let a = -338 - -775. Let b = a + -253. Calculate the remainder when b is divided by 47.
43
Calculate the remainder when (228 - -630) + (1 - (0 - -9)) is divided by 163.
35
Let c(d) = -d**2 + 4*d + 14. Let f be c(6). Suppose f*z + 45 = 3*z - v, -z + 33 = 3*v. Let i = 4 + z. Calculate the remainder when 135 is divided by i.
43
Suppose 61*t - 9856 = 24647 - 10713. What is the remainder when t is divided by 83?
58
Suppose -8*h - 240 = -12*h. Suppose 45 + 105 = 6*m. Calculate the remainder when h is divided by m.
10
Let b(c) = c**3 - 17*c**2 + 40*c + 10. Calculate the remainder when b(18) is divided by 262.
6
Suppose -112*l + 50*l = -68*l + 3120. Calculate the remainder when l is divided by 465.
55
Let q(d) = -d**3 + 10*d**2 + 3*d - 10. Let l be q(12). Let g = l + 375. Let u(h) = -h**2 - 56*h + 395. Calculate the remainder when g is divided by u(-62).
21
Let h(x) = -27*x + 1526. Calculate the remainder when 222 is divided by h(49).
19
Suppose 2*b + 66 = 9*i - 7*i, -b = -5*i + 145. Suppose 4 = -v + 4*k + i, -5*v = -k - 63. Calculate the remainder when 43 is divided by v.
7
Suppose -r + 2 = 0, 4*i - 1600 + 130 = -3*r. What is the remainder when i is divided by 65?
41
Suppose 0 = -82*r - 21*r - 1229 + 5349. What is the remainder when 602 is divided by r?
2
Let x be (-200)/(-8)*(0 - 4). Let u = -83 - x. Calculate the remainder when 118 is divided by u.
16
Let u = -6516 + 9416. Suppose -86*n + 57*n = -u. Calculate the remainder when n is divided by 12.
4
Suppose -54*c + 2*c + 44992 = 22*c. What is the remainder when c is divided by 87?
86
Suppose 38*c + 13*c - 16269 = 0. What is the remainder when c is divided by 311?
8
Suppose -2*w = -3*i - 75, w + i - 18 = 17. Calculate the remainder when ((-12)/(-7))/((8/(-138))/((-28)/6)) is divided by w.
30
Let g(b) = -b**2 - 45*b - 338. Calculate the remainder when g(-17) is divided by 87.
51
Let z(r) = -r**2 + 35*r + 8. Suppose 20*g = 19*g + 2. Suppose g*i = -4*q + 44, 3*q + 0*q + 3*i = 39. What is the remainder when q is divided by z(35)?
1
Let v be 9/36 - (-770)/(-8). What is the remainder when 2 + (0 - -8) - -6 is divided by (-4)/10 + v/(-15)?
4
Let x = 7329 - 7100. Calculate the remainder when 905 is divided by x.
218
Suppose 17374*b = 17399*b - 3875. What is the remainder when b is divided by 3?
2
Let b(k) be the first derivative of k**3/3 - 9*k + 20. Suppose -4*l - 2*c = -308, -5*c - 218 = -l - 2*l. What is the remainder when l is divided by b(-6)?
22
Let m(a) = -a**3 + 46*a**2 - 154*a - 284. Calculate the remainder when m(40) is divided by 79.
75
Calculate the remainder when (15 - 244/12)*69*2/(-4) is divided by 97.
87
Suppose 26 - 2 = 8*u. Suppose 9*l - 8*l = u. Suppose 0 = r + 3*o - 4, o = -3*o. Calculate the remainder when r is divided by l.
1
Let y(g) = -g**3 - 59*g**2 + 38*g - 416. What is the remainder when y(-60) is divided by 26?
20
Suppose -48*q = -63*q + 900. Calculate the remainder when 412 is divided by q.
52
Suppose 4*h - 1170 = 6*m - m, 0 = -12*h - 5*m + 3630. What is the remainder when h is divided by 22?
14
Let m(g) = -6*g**3 - 1. Let i be m(-1). Suppose 20 = -i*c, -3*c = -5*s + c + 26. Suppose 7 = 4*y - 3*y. Calculate the remainder when y is divided by s.
1
Let u(p) = -2*p**2 - 3*p + 7. Let g(r) = r**2 + 2. Let o(a) = 5*g(a) + u(a). What is the remainder when o(9) is divided by 34?
29
Suppose -3*v + 378 = -5*r, 574 = 5*v + 8*r - 7*r. Calculate the remainder when 795 is divided by v.
99
Let v = 1466 + -1416. Calculate the remainder when 543 is divided by v.
43
Let i = 44 - 40. Let x(p) = -4*p + 7. Let c be x(-11). Let n = c - 41. What is the remainder when n is divided by i?
2
Let c = -6060 - -6090. Calculate the remainder when 701 is divided by c.
11
Suppose 4*n - 12 = 0, -d + 5*n - 58 + 47 = 0. Suppose 2*r = 3*o + 5*r - 12, d*o - 44 = 3*r. What is the remainder when 311 is divided by o?
7
Let a be 4 + (-23 - 3)*-1. Let p be 4/a + 364/195. Suppose -2*d - b + 124 = -2*b, 0 = -p*d + 5*b + 124. Calculate the remainder when d is divided by 13.
10
Let q(t) = t**3 - 7*t**2 + 8*t. Suppose 26*l = 22*l. Suppose l = -12*z - 30 + 102. What is the remainder when q(z) is divided by 9?
3
Suppose -m = -2*i - 11, 0 = -2*m + 6*m + 3*i - 66. Suppose 152*l + 3096 = 176*l. What is the remainder when l is divided by m?
9
Let u = 8456 - 8441. Calculate the remainder when 2878 is divided by u.
13
Suppose -4*i = -5*o - 807 - 506, -2*i + 684 = -8*o. What is the remainder when 821 is divided by i?
177
Let m = 312 - 297. Suppose m*s = 11*s + 204. Calculate the remainder when s is divided by (39/12)/((-2)/(-8)).
12
Let g(o) = o**3 + o**2 + 10. Let r be g(0). Let v = r - -5. Calculate the remainder when 2/(-2) - (-41)/1 is divided by v.
10
Let r(a) = -7*a - 5*a - 8*a + 4*a - 2. Let s(d) = -2*d**2 + 9*d + 137. What is the remainder when r(-2) is divided by s(-6)?
8
Let u(w) = 232*w + 10125. Calculate the remainder when u(-41) is divided by 305.
3
Let l(t) = -23*t**3 - 2*t**2 + t - 25 + 16 + 9. What is the remainder when l(-2) is divided by 25?
24
Let y = 16 - -14. What is the remainder when (-325)/(-3) - 3/((-90)/20) is divided by y?
19
Suppose 875 - 646 = 88*r - 1619. Let t = 471 + -336. Calculate the remainder when t is divided by r.
9
Suppose -8*u - 212*u + 6710 = 85*u. Calculate the remainder when u is divided by 5/(0/1 - -1).
2
Calculate the remainder when 231 is divided by 35/7 + (-3 - -80).
67
What is the remainder when (-33)/9*-411 + 9/3 is divided by 454?
148
Let t = -12 - -25. Let i = -157 + 151. What is the remainder when 14*(47 - 41)*(-2)/i is divided by t?
2
Suppose -b - 19 = -21. Suppose b*i + 31 = 141. Let u = 68 - i. What is the remainder when u is divided by 8?
5
Suppose -2*h = 2*m + m - 14, 0 = 5*m - 4*h + 6. Calculate the remainder when 19 is divided by m/8 - 57/(-12).
4
Let a(m) = 4*m**2 + 362*m + 259. What is the remainder when 392 is divided by a(-90)?
76
Let t = -3292 - -3296. What is the remainder when 991 is divided by t?
3
Let b = 15754 - 15746. Calculate the remainder when 636 is divided by b.
4
Let o(h) = h**2 - 7*h - 6. Let u be o(8). Suppose -18 = 2*w + u*c, 6*c - 2*c = -2*w - 24. Calculate the remainder when 139 is divided by 4/w*(-5)/(30/252).
27
Let v be 100*1*(1 + 1). Suppose -j = -3*j + v. Let p(z) = 7*z**3 - 946*z**2 + 133*z + 291. Calculate the remainder when j is divided by p(135).
16
Let o(z) = -z**2 + 166*z + 6141. Let s(p) = p**3 + 4*p**2 - 5*p + 4. Calculate the remainder when o(-31) is divided by s(-5).
2
Let k(l) = l**3 - 7*l**2 - 9*l + 9. Let i be k(8). Let d be i*(-3 - (-1 + -10)). Let n = d + 40. What is the remainder when n is divided by 17?
14
Suppose -18*c - 12*c + 1134 = 12*c. Calculate the remainder when 1148 is divided by c.
14
Let m(y) be the second derivative of -2*y**3 + 3*y**2/2 - y. Suppose -94 = 3*q - 322. What is the remainder when q is divided by m(-3)?
37
Let h(x) = -153*x + 2299. What is the remainder when h(11) is divided by 155?
151
Suppose 1020*h + 480 = 1023*h. Calculate the remainder when 193 is divided by h.
33
Let l = 1192 - 1139. What is the remainder when 225 is divided by l?
13
Let i(h) be the first derivative of 4*h**3 - 3*h**2/2 - h + 24. Calculate the remainder when i(4) is divided by 15.
14
Let j = -260 - -261. What is the remainder when 137 is divided by j*-4 - (2 + 8 + -37)?
22
Let c = -26 + 70. Suppose 40*l + 104 = c*l. Suppose 31*i = l*i + 95. What is the remainder when i is divided by 7?
5
Let h(w) = w + w - 23 - 2*w - 4*w. What is the remainder when h(-6) is divided by (-2)/(-3) + (-6)/(-18)?
0
Let g = 45 + -17. Suppose 2*w - 8*w = 0. Suppose -3*u + 4 + 26 = w. What is the remainder when g is divided by u?
8
Suppose 19*f = -795 + 6965 + 1525. What is the remainder when f is divided by 11?
9
Suppose -71*n + 8960 = -n. What is the remainder when 4093 is divided by n?
125
Calculate the remainder when (21/(-5))/(-30 + (-29925)/(-1000)) is divided by 8*(-21)/6*-1.
0
Calculate the remainder when 55 - (18/21 - (-144)/28) is divided by 17.
15
Let j be (-286)/(-77) - (-4)/14. Suppose -m - 3*o + 8 = 0, -