+ 34. Calculate the remainder when 50 is divided by k.
8
Let j(l) = l**3 + 13*l**2 - 2*l + 5. Let h be j(-9). Let t = 55 + h. What is the remainder when t is divided by 81?
78
Let h(m) = -7*m + 2 + 3*m**2 - 2*m**2 + 3*m**2 - 2*m**2. Let l(d) = -5*d**3 - 4*d**2 + 4*d + 2. Calculate the remainder when h(7) is divided by l(-2).
15
Suppose 5*q - 120 = -4*c, -23 + 33 = q - 2*c. Calculate the remainder when 430 is divided by q.
10
Suppose -101*l - 2*l + 35447 = -75587. Calculate the remainder when l is divided by 121.
110
Suppose 0 = -25*a + 30*a - 1208 - 392. Suppose -t - 108 = -3*t. Calculate the remainder when a is divided by t.
50
Let u(a) = -15*a - 188. Let q be u(-8). Let p be (-1)/(-4) + 231/(-12). Let f = p - q. What is the remainder when f is divided by 17?
15
Calculate the remainder when (-9144)/(-45) - 1/5 is divided by (4/(12/(-9)) - 4) + 18.
5
Suppose n = 5*w + 62, -2*n + 3*w - 2*w + 106 = 0. Suppose -4*a = b - 150, -5*b = 3*a - 2*a - 712. Calculate the remainder when n is divided by b/10 + (-2)/10.
10
Let p(k) = 4 - 59*k - 2*k**2 + 58*k + 3 + 3*k**2. Suppose -27 - 27 = -2*i. Calculate the remainder when i is divided by p(0).
6
Let z = 63 - 21. Suppose 5*f - y - 1661 = 0, 0*y + 991 = 3*f + 5*y. What is the remainder when f is divided by z?
38
Suppose -527*l = -518*l - 3 - 141. Let n be (-2)/(-3) - 326/(-6). Let d = n + -28. Calculate the remainder when d is divided by l.
11
Let x = -465 + 486. What is the remainder when 5 + 27/2*12 is divided by x?
20
Suppose 11 + 505 = f. Suppose -3*i - f = 2*i - 2*x, x = 3*i + 309. Calculate the remainder when (i/(-3) - 3)/((-3)/(-9)) is divided by 24.
21
Let p = -12175 - -14169. What is the remainder when p is divided by 10?
4
Suppose -3*f - k + 510 = 4*k, 4*k + 537 = 3*f. Let j = f + -130. Calculate the remainder when j is divided by 21.
3
Let h(l) = l**2 + l - 4. Suppose -189 = 3*c + 111. Let s = -71 - c. What is the remainder when s is divided by h(3)?
5
What is the remainder when ((320/6)/((-12)/(-6)))/((-145)/(-3045)) is divided by 535?
25
Let y(o) = 290*o**2 + 1. What is the remainder when y(-1) is divided by 53?
26
Let r be (189/(-54))/(2/(-4)). Let m(o) = -o**3 + 11*o**2 - 17*o + 8. What is the remainder when m(r) is divided by 33?
19
Suppose 0 = 91*j - 221687 - 140038. Calculate the remainder when j is divided by 17.
14
Suppose 0*l + 603 = 3*l. Suppose -x + 4*r = -253, 731 = 3*x - 0*x + 2*r. What is the remainder when l is divided by (-3)/(-15)*(10 + x)?
48
Calculate the remainder when 154 is divided by ((-210)/175)/(6/(-705)).
13
Suppose -17*w + 11*w = -138. Suppose 5*r + 20 = 0, 0*r = 3*f + 2*r - 1. Calculate the remainder when w is divided by f.
2
Let d(m) = m**3 - 7*m**2 - 98*m + 165. Calculate the remainder when d(16) is divided by 266.
103
Suppose -311 = -4*d - 59. Let t(j) = 25*j**2 + 726*j + 58. What is the remainder when d is divided by t(-29)?
5
Suppose 95*s = 87*s + 176. Suppose -3*b - 174 = -6*b. Suppose t - b = 5*r, -24 = 4*t - 2*r - 202. Calculate the remainder when t is divided by s.
21
Let y(n) = 9*n**2 - 207*n + 841. Calculate the remainder when y(4) is divided by 45.
22
Let q(x) = 4*x**2 + 82*x + 251. What is the remainder when q(-3) is divided by 12?
5
Suppose -6*c - 11 + 47 = 0. Suppose 728 = -c*p + 10*p. Suppose -o = 5*u - 54, 4*o = -5*u + 34 + p. Calculate the remainder when o is divided by 11.
10
Suppose v - 35 = 164*s - 169*s, -2*s + 126 = 2*v. What is the remainder when 6575 is divided by v?
65
Suppose 0 = 3*a + q - 164, 4*q + 323 = 2*a + 209. Calculate the remainder when a is divided by 21.
13
Let o(g) = 64*g + 10. Let p = 164262 + -164211. Calculate the remainder when o(7) is divided by p.
50
Let h = -532 - -543. Calculate the remainder when 373 is divided by h.
10
Let d = 4 - 0. Suppose 2*q = 5*q - 720. Suppose -4*i = -2*r + 140, -d*r - i = i - q. What is the remainder when r is divided by 21?
20
Suppose 5*q - t - 317 = 0, -11*q + 9*q = -t - 131. Let g(a) = 309*a + 0 + 0. What is the remainder when g(1) is divided by q?
61
Let x = 20 + -96. Let s = x - -331. Calculate the remainder when s is divided by 32.
31
Let n(s) = 438*s**3 - 2*s + 8 - s**2 - 4 - 451*s**3. What is the remainder when n(-2) is divided by 2/9 + 196/9?
20
Calculate the remainder when -5*(-86)/1075 + (783/5 - -1) is divided by 4/(-10) + ((-167)/(-5) - 1).
30
Suppose -6*m + 10*m - 116 = 0. Let c = m + -22. Let h = 13 - c. What is the remainder when 16 is divided by h?
4
Let q be (-1 - -2)*(-405)/15. Let z = 61 + q. What is the remainder when 65 is divided by z?
31
Let j(z) = -z**3 - 3*z**2 + 16*z + 10. Let g be j(-7). Let v = g - 69. What is the remainder when 297 is divided by v?
22
Suppose 28*r - 171 = 9*r. Calculate the remainder when (-45)/r - 43*(-1)/1 is divided by 22.
16
Suppose 266 = 619*v - 606*v - 202. Calculate the remainder when 278 is divided by v.
26
Suppose -8*t = -3*t + 4*u + 8, 0 = 5*t - 5*u + 35. Let p(g) = 8*g**2 - 11*g - 29. Calculate the remainder when p(t) is divided by 48.
47
Let k = -65495 - -65508. Calculate the remainder when 543/2 - 2/4 is divided by k.
11
What is the remainder when 408 is divided by (-324)/(-216)*(-28)/(-2)?
9
Suppose -2*q + 44 = -6. Suppose 94*m - 36*m - 44*m - 266 = 0. What is the remainder when q is divided by m?
6
Let c(i) = -i**3 + 36*i**2 - 19*i - 73. Let p be c(35). Let g = p + -477. What is the remainder when 14 is divided by g?
4
Let q(c) = -15 + c**2 + c**2 + 4*c**2. Let s = 94 - 60. What is the remainder when q(5) is divided by s?
33
Suppose -5*t + 5*j + 26 = -104, 4*j - 112 = -5*t. Suppose z + 5*i - 151 = 0, 0 = -2*z - 282*i + 284*i + 218. What is the remainder when z is divided by t?
20
Suppose 2*i - 190 = -2*x + 116, -4*x = -2*i + 312. What is the remainder when 22327 is divided by i?
151
Let c = 24 - -11. Let x be (-2)/7 - (0 + (-2110)/c). Let d = -57 + x. Calculate the remainder when 10 is divided by d.
1
Suppose -2*t + t + 364 = 0. Suppose -5*d + 6*d = t. What is the remainder when (d/(-65))/((-2)/55) is divided by 31?
30
Suppose 3266 = -12*y + 10*y + 25*y. Calculate the remainder when 1135 is divided by y.
141
Suppose 0 = 4*g + 17 - 1, -4*f + 3*g = -84. Let m(z) = -z**3 - 8*z**2 + 5*z - 11. Calculate the remainder when m(-9) is divided by f.
7
Suppose 4*f = -2*f + 24. Suppose 2 = -g, 5*d - 3*d - 258 = f*g. What is the remainder when d is divided by 42?
41
Let b(y) = -3*y**2 + 144*y + 22. What is the remainder when b(42) is divided by 39?
37
Suppose 9*j + 0*j = 27. Suppose j*c - 2*c - 9 = 3*d, -5*d = 4*c - 104. What is the remainder when c is divided by 12?
9
Let t(l) = -l**3 + 22*l**2 - 110*l + 4. What is the remainder when t(14) is divided by 14?
4
Let i = 457 - 319. Suppose -78*l = -80*l + i. Calculate the remainder when l is divided by 27.
15
Suppose 5*a - 1470 = -3*b + a, -b + 5*a + 490 = 0. Let t = b - 432. Calculate the remainder when t is divided by 17.
7
Suppose 0 = -24*r + 19*r + 180. Suppose 30*g - 33*g + r = 0. What is the remainder when g is divided by 3?
0
Suppose 19 + 69 = 4*f. Suppose 31*v - 1806 = 10*v. Calculate the remainder when v is divided by f.
20
Suppose 25*b - 8716 - 96009 = 0. Calculate the remainder when b is divided by 21.
10
Let h(s) = s**3 + 15*s**2 + s - 389. What is the remainder when 684 is divided by h(-12)?
2
Suppose c - 4*c = 0. Let l be (1 - 2)*-5*54/135. Suppose c = l*o + 16 - 62. Calculate the remainder when 67 is divided by o.
21
Let t(k) = -5*k**2 - 6*k - 5. Let w be t(-6). Let m = -45 - w. Let c = 235045 - 235024. Calculate the remainder when m is divided by c.
20
Suppose 2*a = 20*a - 900. Calculate the remainder when a is divided by 6/(-27) - (-119)/9.
11
Let w be 1/(3/(-22))*-12. Let o = w + -80. Suppose -o = -5*f + 12. What is the remainder when 5 is divided by f?
1
Suppose -111392 + 5227 = -85*p. What is the remainder when p is divided by 19?
14
Let i(d) = 9*d**3 - 7*d**2 - 14*d + 16. What is the remainder when i(4) is divided by 40?
24
Let y(c) = 3*c + 9. Let a be y(-3). Suppose 0*x + x - 54 = a. Calculate the remainder when x is divided by (-1)/(55/28 - 2).
26
Suppose h - d = -5*d + 20, 2*h - 4*d = 52. Suppose 3*b + 2*r = 27, 3*b - h = -2*r + r. Calculate the remainder when 54 is divided by 272/14 - 3/b.
16
Let x(r) be the first derivative of -25*r**2/2 - 21*r - 66. Calculate the remai