q(r) = -r**3 - 9*r**2 - 11*r - 12. What is the remainder when -1 - (-6)/(42/161) is divided by q(-8)?
10
Let s = -41 + 43. Suppose -3*k + 3*g + 6 = -0*g, 4*k = -s*g + 8. Calculate the remainder when -4 + (k - -57) + 2 is divided by 15.
12
Suppose -95 = -3*c + 145. Let s be (c/(-60))/((-1)/9). Suppose -4 = -2*f + s. Calculate the remainder when 11 is divided by f.
3
Let q = -46 - -93. Suppose 37 = 7*i - q. Calculate the remainder when i is divided by 2.
0
Let j(i) = 55*i + 2882. Calculate the remainder when 5212 is divided by j(-52).
20
Let i = 116 - 61. Let s = 426 - 397. Calculate the remainder when i is divided by s.
26
Let h = 2948 - -6685. What is the remainder when h is divided by 41?
39
Suppose 2*h = -s + 5735, 0 = -84*h + 88*h + 5*s - 11467. What is the remainder when h is divided by 1433?
2
Suppose 709 = 2*w + 5*n, 27*n = 4*w + 22*n - 1433. Calculate the remainder when 1088 is divided by w.
17
Let j(z) = -z**2 - 5*z + 2374. What is the remainder when j(-45) is divided by 23?
22
Let s(k) = -24*k - 97. Let b be s(-29). Let i = 617 - b. Let c = 24 + -14. Calculate the remainder when i is divided by c.
8
Suppose -196 = -3*d + 2*s, 6*d = 11*d + s - 318. Calculate the remainder when d is divided by ((-11)/((-110)/(-84)))/((-6)/20).
8
Let s = -233 + 285. Suppose -3*d = -82 + s. Calculate the remainder when 14 is divided by d.
4
Let x = 17554 + -17474. Let w = 25 - 4. What is the remainder when x is divided by w?
17
Suppose 0 = 3*v + 5*s - 8*s - 117, -2*s = -4*v + 150. Let l(z) = -z**3 + 33*z**2 - 59*z - 24. What is the remainder when l(31) is divided by v?
33
Let h = -267 - 6. Let u = h - -280. Calculate the remainder when 125 is divided by u.
6
Suppose -129*g - 104*g = 67*g - 4800. What is the remainder when 921 is divided by g?
9
Let y(d) = -409*d**3 + 2*d**2 + 142*d + 141. What is the remainder when y(-1) is divided by 88?
58
Let h = -10615 + 10698. What is the remainder when 1567 is divided by h?
73
Suppose -44793 = -25*v - 212*v. Let y(g) = g**3 - 10*g**2 + 21*g - 8. What is the remainder when v is divided by y(8)?
29
Suppose 4*d + d - 345 = 0. Let y be (-10 - 0)*12/(-24). Suppose y*i - 11*i = -72. What is the remainder when d is divided by i?
9
What is the remainder when 646 + 54 + 1 + 11 is divided by 14?
12
Suppose -12*a + 77 = -19*a. Calculate the remainder when (784/140)/(-2 - a/5) is divided by 16.
12
Let f be -1*((-264)/3 - (-16)/4). Let d = f + -105. Let k = d - -40. What is the remainder when 55 is divided by k?
17
Calculate the remainder when 806 is divided by (11/(-2)*3/1)/((-55)/2640).
14
Suppose -5*t + 10*t - 1200 = 0. Suppose 4*u - 262 = 2*y + 64, 3*u = -3*y + t. Calculate the remainder when u is divided by 32.
17
Let h(a) = -68*a + 1. Suppose 0 = -l - 9, -16*q + 12*q = 5*l - 55. Calculate the remainder when h(-2) is divided by q.
12
Suppose 126*k - 137*k + 316 - 30 = 0. Suppose -5*c + 619 = 2*o, 392 + 224 = 2*o + 2*c. Calculate the remainder when o is divided by k.
21
Let m = -103 + 85. Suppose 0 = r - 0*r + 33. Let n = m - r. What is the remainder when 73 is divided by n?
13
Let m(t) = 191*t - 1714. Calculate the remainder when 319 is divided by m(9).
4
Suppose -4*n + 520 = 4*q, 112*n + q - 638 = 107*n. What is the remainder when 404 is divided by n?
23
Let g(a) = -12*a + 18. Let m(x) = -12*x + 21. Let t(p) = -6*g(p) + 5*m(p). Suppose l + 6 = 2*l. Calculate the remainder when t(l) is divided by 18.
15
Let m = 4901 + -4893. What is the remainder when 37 is divided by m?
5
Let h(k) be the first derivative of -16*k - 2 + 13/2*k**2. What is the remainder when h(6) is divided by 13?
10
Suppose 6*f = 270 - 258. Suppose -2*t + 102 = -5*h - 24, -4 = -f*h. What is the remainder when t is divided by 14?
12
Let d(f) = 12*f - 369. Calculate the remainder when 1468 is divided by d(43).
145
Let t = -29 + 25. What is the remainder when ((-17)/(-5) + t)*-15 is divided by (-102)/(-12) + -9 - (-22)/4?
4
Suppose 21*a + 6120 - 752 = 65*a. What is the remainder when 5121 is divided by a?
119
Suppose -3*p = -2*p - 37. Suppose 33 + 15 = 16*f. What is the remainder when p is divided by 15/6*((-155)/(-25) - f)?
5
Suppose 3*z - 135 = -3*b, -b - 2*z + 174 - 135 = 0. Calculate the remainder when 72 is divided by b.
21
Let a(r) = 2*r**2 - 6*r + 5. Let v be a(2). Calculate the remainder when 222 is divided by v - 4 - (-280)/10.
22
Let m = 8530 + -8512. Calculate the remainder when 408 is divided by m.
12
Suppose -21*u + 216 = 33*u. Let x(k) = 14*k**2 - 1. What is the remainder when x(-1) is divided by u?
1
Let o be (5 - (-44)/(-8))*0. Suppose -33*y + 44*y - 429 = o. What is the remainder when y is divided by 14/7*(-21)/(-2)?
18
Let c(b) = -421*b - 26. Let p be c(-1). Let y = p + -366. Calculate the remainder when 10*6 + -2 - 2 is divided by y.
27
Suppose -4*m = i - 134, -3*i + 324 = -m - 117. Let a = i + -47. Calculate the remainder when a is divided by 52.
47
Let b(k) = -k**3 + 3*k**2 - 2*k - 4. What is the remainder when b(-3) is divided by ((-230)/(-80))/(9/72)?
10
Suppose 0 = 3*k + 5*d + 7, k + 4*d = -2*k - 8. Let p = 193 + -179. Calculate the remainder when 9*10 - (k + 5/5) is divided by p.
9
Let k be ((-10)/8 - 1)*(-8840)/(-255). Let y = k + 84. What is the remainder when 9 is divided by y?
3
Let d(l) = 39*l - 831. Calculate the remainder when 77 is divided by d(22).
23
Suppose n - 3*f = 59, 5*n - 88 = 3*n - 4*f. What is the remainder when 367 is divided by n?
17
Let b(y) = 3*y + 15. Let d = 388 - 362. Calculate the remainder when b(11) is divided by d.
22
Suppose -503 = -5*j + k, -j + 22 = -k - 81. Calculate the remainder when j is divided by 31.
7
Let u(p) = 2*p**2 - 66*p + 322. Calculate the remainder when 113 is divided by u(28).
29
Suppose -h = 4*f - 82, 3*h = 5*h + 5*f - 140. Calculate the remainder when 1593 is divided by h.
43
Let t = 367 + -364. Suppose -5*l + 260 = -0*l. What is the remainder when l is divided by t?
1
Let n = 1034 + -616. Suppose 0 = 4*k + 4*x + 20, 4*k + 986*x - 13 = 985*x. Calculate the remainder when n is divided by k.
4
Let u = -7 + 20. Suppose 12*l + 634 = -494. Let y = -56 - l. Calculate the remainder when y is divided by u.
12
Let v(s) = -s**3 - 14*s**2 - 20*s - 251. Calculate the remainder when 108 is divided by v(-14).
21
Let y(p) = 7*p + 843. What is the remainder when 1311 is divided by y(-120)?
0
Let g(c) = -c**3 + 3*c**2 + 4*c + 1. Let n be g(4). Suppose n = -3*d + 19. Suppose d*b - 107 = 181. Calculate the remainder when b is divided by 10.
8
What is the remainder when 2489 is divided by ((-245)/(-10))/((-63)/(-378))?
137
Let p(a) = -a**3 + 7*a**2 - 14*a + 11. Let g be p(4). What is the remainder when -8*2/g*12306/(-112) is divided by 42?
40
Let a be (-7)/5*-5 - 5. Calculate the remainder when (111 + -68)/(2/a) is divided by 32.
11
Suppose 0 = -150*q + 135*q + 765. Calculate the remainder when q is divided by 4.
3
Calculate the remainder when 1976 is divided by 2696/32 - 3/(120/50).
67
Suppose 4*j + 2031 = 3*r, r - 22*j + 20*j = 677. Suppose 692 = w + r. What is the remainder when 237 is divided by w?
12
Suppose -31*h + 1148 = -3*h. Suppose 44*m - h*m = 48. Calculate the remainder when 315 is divided by m.
11
Suppose -153*p = 148*p - 91504. Calculate the remainder when p is divided by 92.
28
What is the remainder when 1790 is divided by 10*-19*(7 + (-150)/20) + 5?
90
Let t = 19 - 1. Suppose -15*d + 12*d = 0. Suppose -h - 5*z + 7*z = -223, d = 3*h - z - 689. Calculate the remainder when h is divided by t.
15
Calculate the remainder when (-104)/(-130)*(-3615)/(-3) is divided by 51.
46
Suppose -5*z - 5*w = -105, -185 + 48 = -5*z + 3*w. What is the remainder when z is divided by (0 - 0) + -2 - -9?
4
Suppose -8*p - 19 - 29 = 0. Calculate the remainder when (-20)/p*(-168)/(-8) is divided by 15.
10
Suppose -5*c = 5*v - 60, 5*v - v + 3 = -c. Let z(n) = -3*n**2 + 52*n + 19. Calculate the remainder when (-2)/(2 - 4) + 140 is divided by z(c).
33
Suppose -19*u + 20*u + 10 = 0. What is the remainder when (1504/28 - 2) + u/(-35) is divided by 21?
10
Let f(a) be the third derivative of 3*a**5/20 - 2*a**3/3 - a**2 - 62. Calculate the remainder when f(-4) is divided by 40.
20
Suppose -8*z + 34 = -25*z. Let b(q) = -q**3 + q**2 + 4*q + 10. Calculate the remainder when 37 is divided by b(z).
9
Let h = 8883 - 8800. Calcu