Let j be z(-3). What is the remainder when j*(-1)/(-3) - -155 is divided by 20?
18
Let t(l) = -l**2 - 22*l + 377. Calculate the remainder when 473 is divided by t(-33).
11
Suppose 3*l = 66 - 9. Suppose -t + 0*t + 4*z = -31, -5*z = 5*t - 155. Calculate the remainder when t is divided by l.
12
Suppose 651 = -38*k + 17*k. Let r = k - -46. What is the remainder when 116 is divided by r?
11
Let n(f) = f**3 - 7*f**2 + 13*f - 11. Let x be n(5). What is the remainder when 69 is divided by x - ((-126)/15)/((-4)/(-10))?
19
What is the remainder when 1999 is divided by -1*1 + ((-7574)/(-49) - (-3)/7)?
151
Let l(v) = v**2 - 11*v + 14. Let x be l(10). Suppose -4*w + 134 = -58. Calculate the remainder when -15*(-20)/w*x is divided by 13.
12
Let y(o) = o**2 + 29*o + 28. Let u be y(-28). Suppose u = 7*p - p - 126. What is the remainder when 102 is divided by p?
18
Let x = -214 + 217. Suppose -n + 26 = 3*n + 2*y, -x*n - y + 17 = 0. Calculate the remainder when 15 is divided by n.
3
Let a = 7428 - 7414. What is the remainder when 1756 is divided by a?
6
Suppose 3*q = 4*p + 347, 0 = 3*p - 20 + 8. What is the remainder when 961 is divided by q?
114
Suppose -3*y - 4*y = -196. Calculate the remainder when 1647 is divided by y.
23
Let u(f) = 5*f**3 - 19*f**2 - 5*f - 3. What is the remainder when 220 is divided by u(5)?
98
Let t = 1 - -2. Let p(a) = -a**3 + 5*a**2 + 101*a + 186. What is the remainder when p(13) is divided by t?
0
Let i = 16009 + -15980. Suppose 4*p - 15 = -5*w + 27, 0 = -5*p + 4*w + 32. Let l = 18 - p. Calculate the remainder when i is divided by l.
9
Suppose 3*m + 34*m + 24*m = 31476. Calculate the remainder when m is divided by 263.
253
Let r(p) = 81*p**3 + 6*p**2 - 10*p + 8. Let q be r(3). Suppose -5*y - 5*l = -3685, 8*y + 5*l = 11*y - q. Calculate the remainder when y is divided by 74.
72
Suppose 43*y + 8094 = 100*y. What is the remainder when y is divided by 128?
14
Calculate the remainder when 549 is divided by 49/4*(-3660)/(-427).
24
Let l = 295 + -458. Let x = -80 - l. What is the remainder when x is divided by 18?
11
Suppose 3*q + 85 = 562. Suppose -3*a = q - 168. Suppose 5*w - 147 = -2*z, z - 12 = a*w + 67. Calculate the remainder when z is divided by 13.
11
Let s(l) = 4*l**2 - 89*l - 263. Let p(w) = -4*w**3 + 3*w**2 + 3*w + 1. Calculate the remainder when p(-2) is divided by s(25).
3
Suppose 4*b - 2*b = 4*b. Suppose -29 = -5*k + 3*x, b*x + 2 = x. What is the remainder when 30 is divided by k?
2
Suppose -7*p + 1102 = -956 + 644. Calculate the remainder when p is divided by 164.
38
Let b be -2 - 8/(-12)*69. Suppose 2*u - 3*j = 102, 2*j + b = -2*u + 126. Suppose 5 = -10*a + u. What is the remainder when a is divided by 3?
1
Let t(d) = -12 - 3*d + 16 + d**3 - 7. Let z be -3 + 1 + 2 + 3. Calculate the remainder when t(z) is divided by 9.
6
Let s(i) = -i**3 + 4*i**2 + 35*i - 189. Let n be s(8). Calculate the remainder when 4/(-1) - -2 - -62 is divided by (n/25 + 8)*5.
4
Let f(v) = v**3 + v**2 - 4*v + 51. Let y be f(0). Suppose 0 = 4*c - 155 + y. Let t(b) = -8*b - 7. What is the remainder when t(-7) is divided by c?
23
Suppose 28 = 2*t + 3*l, -l + 32 = 2*t + l. Calculate the remainder when (97 - -13)*(-3 + (-28)/(-8)) is divided by t.
15
Let f = 11909 - 11893. Calculate the remainder when 37 is divided by f.
5
Suppose 4*b = b + 9. Let p(t) = 76*t - 2. Let a be p(b). Calculate the remainder when 90 is divided by 2/5 - 0 - a/(-10).
21
Let d(m) = -640*m + 6. Let v be d(-1). Suppose -18*z + 19*z + 5*k = v, -4*z - 2*k = -2512. Calculate the remainder when z is divided by 70.
66
What is the remainder when 343 + (416/(-65) - 8/(-20)) is divided by 85?
82
Let l = 3068 - 2925. What is the remainder when 428 is divided by l?
142
Let q(m) = 21*m**2 + 40*m + 18. Suppose -3 = -x - 5*s + 128, -5*x + 545 = 3*s. Calculate the remainder when x is divided by q(-2).
18
Let q(v) be the third derivative of v**5/60 + 35*v**4/24 + 37*v**3/6 + 70*v**2. What is the remainder when q(-41) is divided by 15?
13
Let f(h) = -42*h + 1944. Calculate the remainder when f(27) is divided by 12.
6
Let w = -608 - -1105. Let v = -295 + w. Calculate the remainder when v is divided by 34*((-1)/2 + 2).
49
Let m(h) = -27*h - 1465. Calculate the remainder when m(-69) is divided by 78.
8
Suppose 3*i - 5*x + 0*x - 418 = 0, -4*i + 3*x + 572 = 0. Suppose -3391*q = -3992*q + 13823. Calculate the remainder when i is divided by q.
8
Let u(j) = -12*j - 228. Let y be u(-25). Let p = 106 - 148. Let n = y + p. What is the remainder when 117 is divided by n?
27
What is the remainder when 8/24*2 - (6860/(-6) + 1) is divided by 5?
3
Suppose -26*o - 15683 = -16229. Let s = -5 + 13. Calculate the remainder when o is divided by s.
5
Let m(l) = l**2 + 7*l - 16. Let o = 4623 - 4609. What is the remainder when m(15) is divided by o?
6
Suppose -41*o = -38*o - 24. Suppose -w + 4 = -2*w, -m = -2*w - 26. What is the remainder when m is divided by o?
2
Let d(m) = 2*m**3 + 7*m**2 - 20*m - 11. Calculate the remainder when 207 is divided by d(-5).
11
Let n(q) = -q**2 + 24*q + 16. Suppose 7*w + 297 - 1305 = 0. Let j = -136 + w. Calculate the remainder when n(j) is divided by 21.
18
Suppose 4*i - 111 = -5*q, 2*q + 3*i = i + 46. Suppose f + q*f = 300. Calculate the remainder when 86 is divided by f.
11
Let h = 438 + -435. Calculate the remainder when 186 is divided by 658/35*(15/2)/h.
45
Suppose 26*f + 5*t + 62 = 30*f, -4*f + t + 54 = 0. Calculate the remainder when f is divided by 8.
5
Let x be 3 + 90/8 - 2/8. Let z = x + -12. Suppose z*f - 7 = 165. Calculate the remainder when f is divided by 22.
20
Let b(d) = -2*d**3 - 10*d**2 - 6*d - 11. Let x(y) = y**3 - 11*y**2 - 28*y + 21. Let n be x(13). Calculate the remainder when 75/(-2)*(0 - 2) is divided by b(n).
18
Let s(y) = 87*y**2 + y + 9. Let d be s(-2). Suppose l = -2*u + 199, -5*u + d = 3*l - 145. What is the remainder when u is divided by 26?
19
Let p(h) = h**2 - 218*h + 3059. Calculate the remainder when 1214/8 - (-6)/24 is divided by p(15).
12
What is the remainder when 2553 is divided by (-38)/(-209) - (-1182)/33?
33
Let t be (1 + -3 - -7) + -475 + 11. Let w = -446 - t. What is the remainder when 61 is divided by w?
9
Let l be 2966/18 - -5*12/270. Suppose -30*a = -33*a + l. Calculate the remainder when 215 is divided by a.
50
Suppose 1690 = 16*g + 122. What is the remainder when 8328 is divided by g?
96
Let d = 3258 - 3255. Let g = -11 - -22. Suppose -g*v + d*v = -888. What is the remainder when v is divided by 28?
27
Suppose 0 = -5*d + 3*m + 132, -25*m + 20*m - 20 = 0. Calculate the remainder when (2 - -28)/((-6)/(-12)) is divided by d.
12
Let n = -33604 - -33739. What is the remainder when 412 is divided by n?
7
Suppose -1124 + 194 = -10*y. Calculate the remainder when 62/y + 78/(-9)*-14 is divided by 42.
38
Let j = 291 + -168. Let t = j + -178. Let f = t + 144. What is the remainder when f is divided by 18?
17
Let u(c) = -7*c - 27. Let x be u(-5). Suppose -2*b - 60 = -x*b. What is the remainder when b is divided by 4?
2
Let l(t) = 30*t**2 - 2*t - 1. Let a(g) = 11*g - 12. Let y(f) = -2*f - 1. Let v(p) = -a(p) + 2*y(p). Calculate the remainder when l(-2) is divided by v(-1).
23
Let f be (-10)/(-45) + (-10886)/(-18). Suppose f*q - 606*q = -78. Calculate the remainder when q is divided by 13.
0
Let l = 174 + -168. Suppose -2*p + 43 = -k, l*k + 48 = 2*p + 4*k. What is the remainder when 75 is divided by p?
18
Suppose -4*w + 12*b - 7*b = -2489, 0 = -2*w - b + 1255. Calculate the remainder when w is divided by 45.
41
Suppose 3*u = l + 15, 2 = 5*u + 3*l - 9. Suppose -262 = -u*p + 74. Suppose 0 = -16*y + 19*y - p. What is the remainder when 54 is divided by y?
26
Suppose -7*w + 5*u = -11*w + 522, -2*u - 935 = -7*w. What is the remainder when 2525 is divided by w?
131
Suppose 11*s + 9*s = 3145 + 1215. What is the remainder when s is divided by 74?
70
Let l(j) be the second derivative of 5 + 4*j**2 + 3*j**3 - 6 + 5*j + 1. What is the remainder when l(2) is divided by 12?
8
Let o(s) = -s**2 - 19*s - 406. Let h be o(-16). Let g = h + 378. Calculate the remainder when 39 is divided by g.
19
Let r(m) = -6*m**2 + 56*m + 14. What is the remainder when 165 is divided by r(0)?
11
Suppose 0*t = 5*t - 415. Let a(i) = 2*i**3 - 63*i**2 + 91*i - 17. What is the remainder when t 