ulate the remainder when t is divided by 12.
10
Suppose -2*m + 198 = m. Suppose -3*d + m = -d. Calculate the remainder when 190394/966 + (-44)/168 + 7/42 is divided by d.
32
Let b = 38501 - 32851. Calculate the remainder when b is divided by 35.
15
Let j = 19 - 19. Suppose w - 3*w + 8 = j, -91 = -d + 2*w. Let z = -377 - -394. Calculate the remainder when d is divided by z.
14
Let b be (5 + 0)*12/30. Suppose r + b*r = x - 9, 0 = -2*x + r + 13. What is the remainder when 173 is divided by (1 + (-14)/x)*(-396)/12?
41
Let x(u) be the second derivative of -u**4/6 - 29*u**3/6 + 13*u**2/2 - 10*u - 3. What is the remainder when x(-14) is divided by 7?
6
Let l(u) = -17*u**2 + 104*u - 15. Calculate the remainder when 1537 is divided by l(4).
118
Suppose 0 = -5*s + 4*a + 1498, 4*s - 2*a - 1533 = -337. Let d = s - 191. What is the remainder when d is divided by 55?
52
Let f = 145 + -133. Suppose 0*p + f = 4*p. Calculate the remainder when 10 is divided by p.
1
Let z(o) = 2*o**2 - 39. Calculate the remainder when 568 is divided by z(6).
7
Let j(t) = -6*t**2 + 2*t + 161. Calculate the remainder when 582 is divided by j(5).
15
Let d = 1002 + -666. Let v = -237 + d. Calculate the remainder when v is divided by 35.
29
Let w(f) = -54*f + 1148. Let d be w(21). Let j be 4*278*(-15)/(-24). Suppose -3173 = -d*p - j. Calculate the remainder when p is divided by 20.
17
Let y be -3 - (3 + -29)/2. Suppose 6*s - s = y, 2*v - 3*s - 24 = 0. Let k = 16 - 6. What is the remainder when v is divided by k?
5
Let y(h) = h**2 + 41*h - 1000. Calculate the remainder when 128 is divided by y(-59).
4
Let f(b) = -8*b**3 + 23*b**2 + 102*b + 80. Calculate the remainder when f(-6) is divided by 6.
2
Suppose 39*i - 3*w + 85 = 40*i, 0 = 3*i - 2*w - 233. Calculate the remainder when 1670 is divided by i.
11
Let p = -108 + 115. Suppose -4*k + p*j = 11*j - 4, k - 21 = 4*j. Suppose 26 = 3*z + 2. Calculate the remainder when z is divided by k.
3
What is the remainder when (-3)/10 + 34/(8500/2225575) is divided by 42?
40
Let i(t) = -2*t**2 - 27*t + 69. Calculate the remainder when i(-6) is divided by (18/7)/((-3)/(-21)).
15
Suppose 5*m = 16*f - 14*f + 7886, -5*f - 6319 = -4*m. Calculate the remainder when m is divided by 392.
8
Let b = 123 - 56. Let h(f) = -1633*f - 1632. Calculate the remainder when b is divided by h(-1).
0
Let v = 56 + -56. Let z be 3*(12/(-21))/(18/(-273)). Suppose v = 4*w - 90 - z. Calculate the remainder when w is divided by 5.
4
Suppose -158 = -49*k + 38. Suppose k*l = -16, -353 = -5*b - 2*l + 4*l. Calculate the remainder when b is divided by 18.
15
Let u = -48 + 70. Suppose j + 4 = 0, -6*w + 144 = -2*w - 3*j. What is the remainder when w is divided by u?
11
Let b = -233 - -1503. What is the remainder when b is divided by 98?
94
Let b(h) = 13*h**3 - h**2 - 9*h - 9. Let n be b(-1). Let d(w) = -14*w + 2. Calculate the remainder when d(-4) is divided by (2 - 0)*(-5 - (3 + n)).
10
Let w = -108 + 11829. Calculate the remainder when w is divided by 143.
138
Suppose 29*c - 83*c - 81 = -567. What is the remainder when 95 is divided by c?
5
What is the remainder when (1461/14*12/(-9))/((-14)/49) is divided by 169?
149
Let t(f) = f**2 + 78*f + 1941. What is the remainder when t(-48) is divided by 244?
13
Let z(k) = 73*k**2 - 28*k + 48. Calculate the remainder when z(2) is divided by -1 + -1 - (2 - 52).
44
Let r(u) = 8*u + 50. Let y be r(-6). Suppose 24 - 142 = -y*c. Calculate the remainder when 227 is divided by c.
50
Let q = -4 - -9. Suppose -q*p - 73 = -s, -2*s + 3*p = -22 - 117. Suppose -4*i - s = -216. What is the remainder when 73 is divided by i?
36
Suppose f = -q + 263, 5*f = 2*q + 4*f - 544. What is the remainder when q is divided by 27?
26
Let f = -290 + 533. Suppose 119 = 6*q - 4*q + 3*m, f = 4*q + 5*m. Let x = q + -27. Calculate the remainder when x is divided by 6.
4
Let r be -2*(-21)/56 + 13/4. Let t(x) = 24*x - 24. What is the remainder when t(r) is divided by 19?
15
Suppose q - 2*r = 6, -4*r = 2*q - r - 5. Suppose -20 - 4 = q*p. What is the remainder when 27 is divided by -1 - p*5/5?
2
What is the remainder when 102 is divided by 4*9 + (80/10 - 15)?
15
Calculate the remainder when (74/(-3) - 1)*-6 is divided by 46 - (-1 + (12 - (-136)/(-8))).
50
Suppose 0 = -32*i + 39*i - 217. Let u(o) = -o**3 + 19*o**2 + 26*o + 6. What is the remainder when u(20) is divided by i?
2
Suppose -346 = -5388*z + 5387*z. Calculate the remainder when z is divided by 24.
10
Let l = -5421 - -5454. Suppose 3*m - 326 = m. Calculate the remainder when m is divided by l.
31
Suppose -5*r = -0*r - 105. Let s(i) = -11*i**3 + i**2 - 5*i - 1. Let w be s(3). Calculate the remainder when 28/42 + w/(-3) is divided by r.
18
Calculate the remainder when (-106)/(-9)*198/11 is divided by 102.
8
Suppose 0 = -24*l + 101 + 331. What is the remainder when 840 is divided by l?
12
Suppose 2270*z - 424840 = 2232*z. What is the remainder when z is divided by 211?
208
Suppose 60 = d - 3*q, 6*d - 10*d = 5*q - 257. What is the remainder when d is divided by 23?
17
Suppose 2*y + 2*y - 26 = -h, -3*h + 23 = y. Suppose 0*w - h*w - 144 = 0. Calculate the remainder when (-4)/(w/15) - 12/(-8) is divided by 2.
0
Suppose -520*a + 76 = -516*a. Suppose 2*z + 3*r - 66 = 0, 2*z - 86 = -17*r + a*r. Calculate the remainder when 142 is divided by z.
25
Let h(n) = -12*n - 21. Let g = 332 - 311. What is the remainder when h(-5) is divided by g?
18
Suppose -3*n = -6 + 24. Let s(z) = -z**3 - 14*z**2 + 33*z + 20. What is the remainder when n/(-14) + (-432)/(-21) is divided by s(-16)?
1
Calculate the remainder when 3324*((-45)/(-9) - 4/48*57) is divided by 145.
106
Let j be (1/1 + -2)*1. Let p be j*(-3 + 2)*(-55)/(-5). Let l(w) = 2*w**2 - 23*w + 27. What is the remainder when 23 is divided by l(p)?
7
Let z = 7107 - 7070. Let l = -1 - -50. Suppose -l - 52 = -s - 4*g, 2*s - 226 = 4*g. What is the remainder when s is divided by z?
35
Suppose 4*y = 4*a + 1296, 8510*y + 4*a + 658 = 8512*y. What is the remainder when y is divided by (-2)/(-4) - (-1194)/12?
19
Suppose 4*s + 7*b - 2*b - 168 = 0, -b - 70 = -2*s. Let z = -144711 - -144816. What is the remainder when z is divided by s?
31
Let v(c) = c**3 + 2*c**2 - 4*c + 3. Suppose 0 = -10*g + 18*g + 24. Let u = 11 - g. What is the remainder when v(3) is divided by u?
8
Let f(a) be the second derivative of a**3/2 + 69*a**2/2 - 5*a - 9. Let m(x) = 28*x**2 - 1. Calculate the remainder when f(3) is divided by m(-1).
24
Let v be (1 + -1)/(-1 + 4). Suppose v = 9*i - 6*i - 198. Let c(s) = 2*s**2 + 77*s + 55. What is the remainder when i is divided by c(-38)?
15
Suppose 937 = -6*n + 913. Calculate the remainder when 278 is divided by (-42 - -49)/((-2)/n).
12
Suppose -3*o - 4*y = -1982, -o - 5*o + 4055 = -5*y. Calculate the remainder when o is divided by 56.
54
Suppose 5*b + 5*n - 7725 = 0, -5*b + 1654 + 6071 = -5*n. Calculate the remainder when b is divided by 65.
50
Let l(x) = -x**3 + 37*x**2 - 316*x - 121. Calculate the remainder when l(23) is divided by 40/3 - (-2)/3.
3
Suppose -63*x + 502 = -191. Calculate the remainder when (-3)/(-15) + 278/10 is divided by x.
6
Suppose 39 = -g + v + 51, -15 = -2*g - v. What is the remainder when 373 is divided by g?
4
Suppose -2*z = 5*c + 6, -2*z = -2*c - 2*c - 12. Suppose 0 = -5*j + o + 315, 0 = z*j - 3*j + 2*o + 72. What is the remainder when j is divided by 21?
20
Suppose 0 = 3*h + 15, 5*g + 3*h + 5543 - 19318 = 0. Calculate the remainder when g is divided by 23.
21
Let d(b) = -1017*b + 636. What is the remainder when d(-9) is divided by 96?
93
Let j(s) = -9*s**2 + 9*s + 8. Let f(z) = -9*z**2 + 8*z + 8. Let a(h) = -5*f(h) + 4*j(h). Let m = 17 + -7. What is the remainder when a(-2) is divided by m?
6
Suppose -11*n - 21 = -54. Suppose -n*y - b + 1042 = 0, -y - 695 = -3*y - b. What is the remainder when y is divided by 35?
32
Suppose -5*c = -3*b - b + 741, b - 204 = 5*c. Let i = 224 - b. Calculate the remainder when 179 is divided by i.
44
Calculate the remainder when 693 is divided by (-14)/(-4)*(-870)/(-87).
28
Suppose 4*j + 2*s = 2282, 0 = -5*s + 27 - 32. What is the remainder when j is divided by 71?
3
Suppose 287*a = 313*a - 48386. Calculate the remainder when a is divided by 134.
119
Let f be 8/6*108/(-72). Calculate the remainder when 129 is divided by (-22