culate the remainder when 47 is divided by t(-8).
7
Let g(c) = -82*c**3 - 4*c**2 - 2*c. Let v be g(-1). Let x be v/(-30)*(-15)/4. Calculate the remainder when 63 is divided by (4/10)/((-2)/x) - -19.
12
Let z = 321 + -301. Let v(t) = -t + 158. Calculate the remainder when v(z) is divided by 35.
33
Calculate the remainder when ((-6)/1 - 0)/(1298/(-70741)) is divided by 33.
30
Suppose -2*m + 4*m + 3*f = 22, -2*f = -3*m + 46. Suppose -3*h - 3*j = -579, 6*h + 4*j = 5*h + 187. Calculate the remainder when h is divided by m.
13
Suppose -80*t + 16933 = -20340 + 8153. What is the remainder when 2906 is divided by t?
358
Suppose 0 = -3*x - 19 + 64. Suppose 3*y - 4*q - 379 = 0, 2*q - 329 - 80 = -3*y. What is the remainder when y is divided by x?
13
Let j be 2/10 - 14/70. Suppose -q + 59 = 5*o + 2*q, -3*o + 5*q + 49 = j. Calculate the remainder when 389 is divided by o.
12
Suppose -21*u = -42*u - 3129. Let r = 196 + u. What is the remainder when r is divided by 11?
3
Let a(m) = 652*m + 3978. Calculate the remainder when a(9) is divided by 21.
18
Let x(h) be the second derivative of -4*h - 1/2*h**4 + 3*h**2 - 1/3*h**3 + 0 - 2/5*h**5. What is the remainder when x(-3) is divided by 35?
34
Suppose 4 = -7*g + 11. Calculate the remainder when (1 - 2)*(-5 + -13) is divided by (12 + -7)*1/g.
3
Let h = -73 + 134. Let c(x) = -4*x - h + 6*x + 84. What is the remainder when 125 is divided by c(10)?
39
Let x be (-4)/(-2) - (8 + -9). Suppose 0 = 2*k + 5*p - 30, x*k - 2*p - 102 = -38. What is the remainder when 79 is divided by k?
19
Let j(x) = -21*x**2 + 27*x - 72. Let y(i) = 26*i**2 - 27*i + 72. Let n(o) = -5*j(o) - 4*y(o). What is the remainder when 501 is divided by n(27)?
69
Suppose 0 = -4*v + 4*j + 1736, 0 = -18*j + 14*j - 20. What is the remainder when v is divided by 43?
42
Let b(w) = 10*w - 34. Suppose -4*v + 12 = 5*n, -7*v + 3*v = n - 28. What is the remainder when b(11) is divided by v?
4
Suppose 4*v = 3*k - 33074, 76*k - 74*k - 2*v = 22054. What is the remainder when k is divided by 31?
29
Let h(m) = m**2 - 3*m - 5. Let x be h(-2). Suppose -t = -1 - x. Suppose -2*u = -2 - t. Calculate the remainder when 15 is divided by u.
3
Suppose 0 = 4*g - 5*p + 7*p - 718, -g - 3*p + 182 = 0. Let r = g - 158. What is the remainder when 144 is divided by r?
18
Let h = 132 + -133. Suppose -3*d + 0*d + 5*q + 116 = 0, 4*q = -2*d + 48. What is the remainder when d is divided by (4 + -5)/((-16)/(-17) + h)?
15
Suppose -5*n + 41 + 464 = 0. Let x = 864 - 849. What is the remainder when n is divided by x?
11
Suppose 0 = 34*u + 11*u - 15435. Calculate the remainder when u is divided by 43.
42
Let w(b) = -b**3 + 67*b**2 - 62*b + 19. Calculate the remainder when w(66) is divided by 100.
83
Suppose 2528 = 40*u - 312. What is the remainder when u is divided by 15?
11
Let q(y) = 15*y + 549. Calculate the remainder when q(-18) is divided by 157.
122
Let i = 1432 - 943. Calculate the remainder when i is divided by 83.
74
Let x(n) be the second derivative of -n**5/20 - 11*n**4/6 - 10*n**3/3 + 12*n**2 - 82*n. Calculate the remainder when 6 is divided by x(-21).
0
Let c = 1303 - 649. What is the remainder when c is divided by 40?
14
Let l(c) = -2*c**2 - 11*c + 5. Let i = -78 + 73. What is the remainder when 23 is divided by l(i)?
3
Let a(p) = 3*p**2 - 13*p - 7. Let w be a(5). Suppose -4*k + w*u + 140 = -56, u = 4*k - 188. Calculate the remainder when k is divided by 27.
19
Suppose 1000 - 475 = 25*v. Calculate the remainder when (-207 - (0 - 1))/(-2) is divided by v.
19
Let q(t) = 10*t + 65. Let j be q(14). Suppose -14*d + j = -9*d. What is the remainder when 242 is divided by d?
37
Suppose -3*q + 27 - 162 = -4*m, -2*m - 2*q + 78 = 0. What is the remainder when 77 is divided by m?
5
Let x = 2905 - 2877. Calculate the remainder when 2979 is divided by x.
11
Let c = 43 + -23. Suppose 37 + 212 = -3*k. Let h = k - -141. Calculate the remainder when h is divided by c.
18
Let k(b) = -8*b**3 - 38*b**2 - 13*b - 14. Suppose -5*f + 151 = 51. What is the remainder when k(-5) is divided by f?
1
What is the remainder when (14 + 2)*2/((-14)/(-133)) is divided by 45?
34
What is the remainder when 9044 is divided by (8 + -7 - 2)/(2*7/(-3248))?
228
Let z = 168 + -164. Suppose -100 = -z*b - 5*w, -3*b - 2*w = -w - 64. What is the remainder when 42 is divided by b?
2
Suppose 3*o = -4*k + 607 + 1522, -k - 3556 = -5*o. Calculate the remainder when o is divided by 24.
15
Let z be -3*16/60*315/(-6). What is the remainder when 105 + z/7 - 7 is divided by 18?
14
Let s = 29670 + -29606. Let j = -10 + 15. Calculate the remainder when s is divided by j.
4
Suppose -o + 1 = -58. Let x be ((-306)/(-4) - -2)/((-1)/(-6)). Suppose 2*u = -0*u + h + x, 0 = 3*h + 9. Calculate the remainder when u is divided by o.
57
Suppose r = -2*p + 315, -3*r + 2*p = -332 - 549. Calculate the remainder when 1228 is divided by r.
32
Let n(k) = -3*k**3 + 15*k**2 + 44*k - 34. What is the remainder when n(-5) is divided by 21?
13
Suppose -108 = 18*a + 108. Let n = 12 + 5. What is the remainder when (105/4 + -3)/(a/(-16)) is divided by n?
14
Let q = -114 + 68. Let n = 47 + q. What is the remainder when (-332)/2*((-4)/8)/n is divided by 21?
20
Let j(p) = 2*p**3 - 43*p**2 - 22*p + 1. Let q(s) be the second derivative of s**3/2 - 2*s. Calculate the remainder when q(1) is divided by j(22).
0
Suppose -4245*h + 4252*h - 2184 = 0. Calculate the remainder when h is divided by 73.
20
Let x = -24045 - -24170. Let w(p) = -p**3 + p**2 + p + 32. What is the remainder when x is divided by w(0)?
29
Suppose 9*o - 28028 = -37*o - 31*o. What is the remainder when o is divided by 118?
10
Suppose 41*t = -h + 43*t + 36, h = t + 32. Let r(w) = -w**2 + 10*w + 1. Let j(q) = 3*q - 3. Let x be j(4). Calculate the remainder when h is divided by r(x).
8
Let g be (-1)/((-4)/(-16)) - 5. Suppose 0*u + 6 = -3*u + 3*q, -2*u - 2*q = 0. Calculate the remainder when 118 is divided by ((-3)/u)/(g/(-33)).
8
Let i = -104494 + 104508. Suppose 4*c - 218 = 2*s, 4*s - 7*s = -3*c + 171. Calculate the remainder when c is divided by i.
10
Suppose 5*f - 2*j = 7*f - 196, -2*f - 5*j = -187. Let y = -65 + f. What is the remainder when 178 is divided by y?
34
Let o(h) = h**2 - 7*h - 65. What is the remainder when 201 is divided by o(-8)?
36
Let z be -2 + 47 + -5 + 0. Suppose -2*g + z = -4*f, 3*g + 4*f + 7 = 37. Suppose -306 = -5*h + 734. Calculate the remainder when h is divided by g.
12
Let v be 10/(-8) + (-31510)/(-184). Suppose -177*k + 1414 = -v*k. Calculate the remainder when k is divided by 12.
10
What is the remainder when (-33900)/(-21) + -1*(-8)/(-28) is divided by 125?
114
Let t = 8 - 3. Suppose -t*f = -12*f + 14. Suppose -d - f*p + 9 = -67, -5*d + 364 = 2*p. Calculate the remainder when d is divided by 38.
34
Suppose 0 = -34*q - 6*q + 10680. Calculate the remainder when q is divided by 68.
63
Let i(f) = -f**3 - 10*f - 273. What is the remainder when 3497 is divided by i(-7)?
137
Let g(x) = x**2 - 3*x + 8. Let f be g(7). Let a = -17 + f. What is the remainder when (-2)/(4/111)*-2 is divided by a?
16
Suppose 2*p = 5*g - 28, -23 = -4*g - 4*p + 5*p. Calculate the remainder when (-8)/(-22) - 353646/(-1947) is divided by g.
2
Let t be -2*53 + (-1 + -4 - -3). Let h = -46 - t. Let q(o) = o**3 + 8*o**2 - 14*o - 13. Calculate the remainder when h is divided by q(-9).
30
Suppose -3*j - 4*v + 358 = 0, 0 = -5*j + 2*v + 230 + 358. Calculate the remainder when j is divided by 69.
49
What is the remainder when 4533 is divided by 715/130*(-2268)/(-77)?
159
Calculate the remainder when 35 is divided by (-840)/336*5/(50/(-48)).
11
Suppose 2*u = -5*o - 88, 2*u + 116 = 3*o - o. What is the remainder when 53 is divided by u/(-3) - (-9)/(-3)?
8
Let i = 4066 - 3863. Calculate the remainder when i is divided by 76.
51
Suppose 16*a - 2340 = 9532. What is the remainder when a is divided by 16?
6
Suppose 686*w = -1032*w + 388*w + 19950. Let f(a) = a**3 + 11*a**2 + 7*a. Calculate the remainder when f(-5) is divided by w.
10
Suppose -616*y = -628*y + 2688. What is the remainder when 6495 is divided by y?
223
Let b(f) = -3*f - 7. Let h be b(-4). Suppose h*i - 169 - 51 = 0. Let y = i - 1. What is the remainder when y is divided by 18?
7
Let z be (-1 + 7)*(-2)/(-3). Suppose -16 = -z*j - s, -6*j = -3*j + 3*s - 12. Wha