 Let l be n(-6). Let t(x) = 11*x + 19. Calculate the remainder when t(l) is divided by 51.
45
Let m(n) = n**2 - 5*n - 10. Calculate the remainder when ((-16)/12 - (-24)/72)*-102 is divided by m(9).
24
Let j be (-105)/42*8/(-10). Suppose -3*m + 8*h + 73 = 10*h, 19 = m - j*h. Suppose -9 = -z + o, 5*o = -6 - 9. Calculate the remainder when m is divided by z.
5
Let d(q) = -8*q + 18. Let s be d(2). Suppose s*b + 146 = 5*z - 129, -5*b = -5*z + 290. What is the remainder when 93 is divided by z?
40
Suppose 2*f + 5*z - 1356 = 0, -4*z + 2748 = -0*f + 4*f. What is the remainder when f is divided by 200?
93
Let h = -179 + 374. Let m = 3817 - 3767. Calculate the remainder when h is divided by m.
45
Suppose -4*f + y + 35 = 0, 58 = -4*y + 46. What is the remainder when 1061 is divided by f?
5
Suppose 7*i - 2*i = 320. Let o = 4222 - 4034. Calculate the remainder when o is divided by i.
60
What is the remainder when 1/((-6)/(-44)*(-4)/(-4764)) is divided by 230?
224
Suppose -6*j = -5*u - 5*j - 28, -2*u - 22 = 5*j. Let x(d) = d**3 + 6*d**2 - 10*d - 21. Calculate the remainder when x(u) is divided by 20.
19
Let n = 107 - 84. Suppose -4*j - n = -75. What is the remainder when 154 is divided by j?
11
Suppose -9 = b, 2*r - 834 = 7*b - 727. Calculate the remainder when r is divided by (21 + -1)*(-8)/(-20).
6
Let h = -130 + 271. Suppose -81*n + 85*n = 60. Calculate the remainder when h is divided by 41 - (n/(-3))/(-1).
33
Let r(l) = 8*l + 7. Let w(y) = -2*y**2 + 3*y**2 + 38 - 35*y + 26*y. What is the remainder when r(5) is divided by w(7)?
23
Suppose 5237*l - 5190*l = 49726. What is the remainder when l is divided by 55?
13
Suppose j = 3*g + 118, 116*j - g = 118*j - 222. What is the remainder when j is divided by 71?
41
Let k = -50 - -37. Let v(t) be the first derivative of -2*t**2 - t - 11. Calculate the remainder when v(k) is divided by 13.
12
Suppose -233 - 48 - 859 = -76*l. Suppose 2*c - 8 = -4*q, -2*q + 2*c + 12 = -c. Calculate the remainder when l is divided by q.
0
Suppose 0 = -3*w + k + 558, 11*k - 170 = -w + 14*k. What is the remainder when w is divided by 31?
2
Suppose -13*r + 428 = -9*r. Let u = r + -32. Let p = -22 - -42. Calculate the remainder when u is divided by p.
15
Suppose 2*n - 3*x - 12 = 0, -18 = -3*n - x + 6*x. Calculate the remainder when (-51)/34*(-244)/n is divided by 11.
6
Let l(r) = r**2 - r - 2. Let q be l(-2). Suppose 40 = 2*c - k, -5*c + 0*k = -q*k - 97. Let x(y) = 3*y + 36. Calculate the remainder when c is divided by x(-10).
3
Let t(p) = 6*p + 58. Let o be t(-9). Suppose 6 = o*d - 30. What is the remainder when 104 is divided by d?
5
Suppose -3*y + 422 = -5*m + 1692, 0 = -2*m - 5*y + 508. Suppose -m + 46 = -4*l. What is the remainder when l is divided by 28?
24
Suppose -253 = -2*o + 385. Suppose 7*p + o - 739 = 0. Calculate the remainder when 298 is divided by p.
58
Let v = 23 - 46. Let h = -19 - v. Let j = 16 - 8. Calculate the remainder when j is divided by h.
0
Calculate the remainder when 206 is divided by (-45)/((-195)/20 + 1*9).
26
Suppose -8*z - 64 - 1048 = 0. Let t = -90 - z. Calculate the remainder when 139 is divided by t.
41
Suppose -71*o = -6683 - 3683. What is the remainder when o is divided by 28?
6
What is the remainder when 138 is divided by (-214)/(-10) - (-1704)/1065?
0
Suppose 3*y - 96 = -3*j, 2*y - 160 = -3*y + j. Suppose 0 = -4*x + 4*n + 72, 2*n + 13 = -x + 31. Calculate the remainder when y is divided by x.
14
Let o = -6269 - -6273. Calculate the remainder when ((84/(-10))/3)/(8/(-140)) is divided by o.
1
Let v = 7079 - 3856. Calculate the remainder when v is divided by 124.
123
Let b be (-6 - 14646/42) + (-4)/14. Let m = b - -379. What is the remainder when 93 is divided by m?
21
Suppose 0 = -563*d + 628*d - 44005. Calculate the remainder when d is divided by 172.
161
Suppose -4*o + 20 = 0, -68*o + 65*o = 3*j - 1173. Calculate the remainder when j is divided by 13.
9
Let m(o) be the second derivative of -5/6*o**4 + 0 - 2*o**2 - 1/20*o**5 + 1/6*o**3 - 24*o. Calculate the remainder when m(-11) is divided by 22.
18
Let t(f) = 2*f - 9. Let l be t(6). Let h(k) = 2*k - 5. Let y be h(l). What is the remainder when 134 is divided by (-96)/((-3)/y) + 3 + -1?
32
Suppose c - 717 = -c + 3*r, -5*c + 1801 = r. Let z be (-54)/21*(-14)/3 + (69 - 74). Suppose z*n - 13*n + c = 0. What is the remainder when n is divided by 22?
16
Let d = -1421 - -1441. What is the remainder when 1836 is divided by d?
16
Suppose -22*k - 92 + 951 + 1033 = 0. Calculate the remainder when 248 is divided by k.
76
Suppose 2*p + 2*p - 64 = 0. Let a be (-1)/1 - 3 - (-42 - -35). Suppose 398 = 4*s - 5*c + 156, a*c + 183 = 3*s. What is the remainder when s is divided by p?
15
Let o = -200 + 202. What is the remainder when (-30 + o)*2/(-8)*4 is divided by 15?
13
Suppose -5*l + 25 = 3*o, o - 4*l = -2*l + 1. Suppose 0 = -4*x + 2*t + 88, 106 + 4 = o*x - 3*t. Calculate the remainder when 38 is divided by x.
16
Let s = -226 - -304. Calculate the remainder when s is divided by 15.
3
Suppose -2*w + t + 108 = 0, -t - 172 - 98 = -5*w. Calculate the remainder when 4370 is divided by w.
50
Suppose -21*h - 83 = 1. What is the remainder when 117 is divided by (5 - h) + -6 + 14?
15
Let o = 203 + -185. Suppose -o*p + 418 = -7*p. Calculate the remainder when 70 is divided by p.
32
Suppose 5*c - 2 = -2*r, -5*r = 5*c - 2*c + 14. Calculate the remainder when 75 is divided by ((-3)/(2 + -5))/(c/38).
18
Let m = 51 - 48. Suppose 2*q - 3*h = 33 - 3, 0 = 5*q - m*h - 66. Let s = 80 + q. Calculate the remainder when s is divided by 47.
45
Let t be 5/((-15)/(-6)) + 126. Suppose -a + 149 = -6*a - q, -t = 4*a + 3*q. Let p = a + 48. What is the remainder when p is divided by 11?
8
Let w be 8/2 + 2 + -5 + -1. Suppose -2*j + 3*q = -6*j + 20, -2*j + 2*q + 10 = w. Calculate the remainder when j is divided by 5.
0
Suppose 12*l - 5*l - 210 = 0. Calculate the remainder when 225 is divided by l.
15
Let n be -27 - (-1 + 3 + -5). Let s = n - -49. Suppose j = -s + 92. Calculate the remainder when j is divided by 34.
33
Suppose -7*i + 5*i = -10. Suppose 18 = -4*d + i*d. What is the remainder when 143 is divided by d?
17
Calculate the remainder when 1586 is divided by (6510/735 - (-12)/(-14)) + 188.
18
Let r(a) = 5*a**2 - 1. Let s = -45 + 44. Let u be r(s). Suppose 5*v + 4*k - 512 = 0, -204 = 2*v - u*v - 2*k. What is the remainder when v is divided by 27?
23
Let u be (-1)/2*14 + 11. Suppose -8*x + 120 = -u*x. What is the remainder when 67 is divided by x?
7
Let n(l) = -3*l**3 - l**2 + l + 1. Suppose w - y - 4*y = 14, 2 = -5*w + y. Let f be n(w). Calculate the remainder when f*(-4)/24 + (-260)/(-6) is divided by 23.
20
Let v be (-24)/(-180) + (-326)/(-30). Suppose 4*q - 177 = 2*o + v, 118 = 2*q + 5*o. Calculate the remainder when 685 is divided by q.
48
Let y = -189 - -89. Let p = 101 + y. Let l(h) = 21*h**3 - 2*h**2 + h - 1. What is the remainder when 55 is divided by l(p)?
17
Let n(t) = -32*t + 8. Let x = 18 - 16. Let o be n(x). Let h = o + 69. Calculate the remainder when 44 is divided by h.
5
Let o = -51 + 59. Let q(r) = 0 + o - 51*r**3 - r - 50*r**3 + 102*r**3. What is the remainder when q(0) is divided by 3?
2
Let t(w) = w**2 - 7*w + 20. Let q be t(18). Suppose q = -2*y + 280. Calculate the remainder when 46 is divided by y.
15
Let f(t) = t**3 + 2*t**2 + t - 2. Suppose 0 = 9*z - 0*z. Let l be f(z). Calculate the remainder when 22 is divided by (-52)/l*4/8.
9
Suppose -2*m = -5*m + 9. Suppose 41*d + 50 = 16*d. Calculate the remainder when 41 is divided by 32/m - d/6.
8
Let b = 391 - 423. Calculate the remainder when (-20*(-2)/b)/((-1)/84) is divided by 9.
6
Suppose -2 = -o + 12. Let r be 6 + -6 + -8 + 11. Suppose -337 = -3*y + 5*b, r*y + b - 248 = 77. Calculate the remainder when y is divided by o.
11
Let f(n) = 10*n**3 + 602*n**2 + 120*n + 14. Let z = -89 + 169. Let m = 120 - z. What is the remainder when m is divided by f(-60)?
12
Let v = 90 + -62. Let q(p) = p**3 + 27*p**2 - 41*p - 88. What is the remainder when q(-28) is divided by v?
24
Let n(b) = -b**2 - 9*b + 4. Let o be n(-9). Suppose 7764 = -333*j + 345*j. Calculate the remainder when o*j/24 - (-2)/12 is divided by 10.
8
Suppose 17*m - 19*m + 124 = 0. Suppose m + 78 = 5*l. What is the remainder when 82 is divided by l?
26
Suppose -26*