82. Calculate the remainder when 430 is divided by z.
34
Let b(a) = -a**2 + 49*a - 173. Let l be b(45). Suppose l*n - 2390 = -647. What is the remainder when n is divided by 51?
45
Suppose -4*u = -7805 + 49. Suppose -2*l = 5*l - u. Suppose 5*b - 318 = -3*a + l, 0 = 3*b - 2*a - 376. What is the remainder when b is divided by 31?
29
Let z = 193 + -184. Calculate the remainder when 16 is divided by z.
7
Suppose -470 = -w - 80. Suppose -3*g = g - 2*x + w, 3*g + x = -300. Let o = -79 - g. Calculate the remainder when o is divided by 13.
7
Let r(v) = -20*v - 95. Let f be r(-14). Let w = f + -171. Calculate the remainder when 55 is divided by w.
13
Suppose -56*r + 51*r = 2*l - 273, -3*l - 200 = -4*r. What is the remainder when 436 is divided by r?
12
Let s be (54/189)/(1/49). Suppose 2*q - 40 = g + 22, -66 = -2*q + 3*g. What is the remainder when q is divided by s*2/4 + -14 + 18?
8
Let b(c) be the first derivative of -c**3/3 + 3*c**2 + 31*c + 5. Calculate the remainder when 80 is divided by b(8).
5
Let w(i) = 2 - 3*i - 2*i - 3. Suppose -3*q - 4*z + 20 = 13, q - 13 = -4*z. Calculate the remainder when 111 is divided by w(q).
13
Let k = -212 + 3906. What is the remainder when k is divided by 88?
86
Suppose 0 = 2*t + 4*y - 152, 5*t - 14*y - 326 = -15*y. Calculate the remainder when 827 is divided by t.
59
What is the remainder when (-12116)/39*10*15/(-40) is divided by 79?
59
Let j = -78 + 83. Suppose j*t - 125 + 110 = 0. Calculate the remainder when 13 is divided by (4 - (2 - 1)) + t.
1
Suppose -164 = -2*w - 3*p + 229, -2*p = 4*w - 798. What is the remainder when w is divided by 156?
45
Let r(g) = -8*g + 110. Let c be r(20). Suppose -9 = -2*m + 3. Calculate the remainder when (2 - -13)*c/(-75) is divided by m.
4
Let n be (-12)/(-7) - (-2)/7. Suppose n*f - 36 = -f. What is the remainder when f is divided by (4 - (0 - -3))/((-1200)/(-6000))?
2
Suppose 2*b - 30 = -8*b. Suppose 746 = 5*j - 4*l, -b*j + 418 = -3*l + 8*l. Calculate the remainder when j is divided by 37.
35
Let b = 24 + 90. Let q = 156 - b. What is the remainder when q is divided by 5?
2
Suppose -42*u + 35*u + 2058 = 0. Suppose -18 = -9*x + 7*x. What is the remainder when u is divided by x?
6
Suppose 3 = 5*n - 4*p, -n + 7 = p + 1. Calculate the remainder when 693 is divided by n.
0
Suppose -4*d - 485 = -4*f - 173, f + 3*d = 58. Calculate the remainder when 640 is divided by f.
56
Suppose 4*a + 12 = 4*j, -4*j + 0*a - 4*a = -28. Suppose 0 = -12*f + 15*f - 3*h - 147, -2*f + 119 = j*h. What is the remainder when 118 is divided by f?
14
Let y(z) = 2*z**2 - 5*z + 12. Calculate the remainder when y(12) is divided by 81.
78
Suppose 6*d - 285 = -3*g, -24*d = -20*d - 4*g - 148. What is the remainder when d is divided by 39?
5
Let l(g) = -g**3 + 21*g**2 - 20*g - 27. Let x be l(19). Suppose 0*r + x = -7*r. Let i = 69 + r. What is the remainder when i is divided by 14?
10
Suppose 6*b - 69304 + 8843 = -97*b. Calculate the remainder when b is divided by 31.
29
Let m(j) = j**3 + 46*j**2 + 43*j + 120. Calculate the remainder when 4204 is divided by m(-44).
4
Suppose -r - 38 = -3*r. Suppose 0 = 34*s - 29*s. Suppose 3*k = a - 63, -3*a - 3*k + 290 - 53 = s. What is the remainder when a is divided by r?
18
Suppose -5*x = -20, -136 = -2*y - 4*x - 40. Let k(o) = o**2 + 9*o + 11. What is the remainder when y is divided by k(-9)?
7
Suppose -861 = -18*d + 561. Let j be 2/2 + (-20)/(-10). Suppose -34 + 4 = -j*n. What is the remainder when d is divided by n?
9
Calculate the remainder when 874 is divided by ((-18)/24)/((-42)/48776).
3
Let z(i) be the second derivative of i**5/20 + 13*i**4/12 + 5*i**3/6 + 81*i**2/2 + 26*i. What is the remainder when 87 is divided by z(-13)?
7
Suppose -4*g + 8*g = 2*l - 18, -4*l + g = -50. Suppose 10*p + l*p = 9476. Calculate the remainder when p is divided by 52.
48
Let n = 16 + 958. Suppose 5*h - 268 = -5*v + 972, -2*h = -4*v + n. Suppose 0 = 4*x + 3*x - v. What is the remainder when 103 is divided by x?
33
Let w = 2051 + -2013. What is the remainder when 295 is divided by w?
29
Suppose 2*h - 2*x + 170 = 0, -5*x - 508 + 195 = 4*h. Let j = h + 88. Calculate the remainder when 28 is divided by j.
4
Suppose 11*q + 5620 = -4*q + 17*q. Calculate the remainder when q is divided by 37.
35
Suppose 2172 = 4*z + 4*i, 4*i - i = -5*z + 2699. What is the remainder when 1088 is divided by z?
18
Suppose 22*u + 295 - 576 = 423. What is the remainder when u is divided by 11?
10
Suppose 10*n - 9*n = 40. Let s(v) = -4*v**2 + 167*v - 100. Calculate the remainder when n is divided by s(41).
17
Let y = 18 + -8. Let z(k) = 5 - 3 + y + 6*k + 2. Calculate the remainder when z(6) is divided by 14.
8
Suppose 86*j - 45*j = 57*j - 30656. What is the remainder when j is divided by 125?
41
Suppose -19*g + 2144 = -6900. Calculate the remainder when g is divided by 146.
38
Let j = -52572 + 52601. What is the remainder when j is divided by (-1)/(18/20 + -1)?
9
Let k(v) = -6*v**3 + 27*v**2 - 6*v + 5. What is the remainder when k(3) is divided by 21?
5
Suppose -x + 153*g = 149*g - 26, 0 = -2*x + 5*g + 46. What is the remainder when 2247 is divided by x?
15
Let r = 172 + -220. What is the remainder when (-6)/r + 2780/32 is divided by 33?
21
Let v(b) = -b**2 - 199 + 8*b - 4*b**2 + 100 + 6*b**3 + 97. Calculate the remainder when v(4) is divided by 67.
66
What is the remainder when (8 - 5648/(-56)) + 2/14 is divided by 6/(55 + -1) - 332/(-9)?
35
Suppose 0 = -318*o + 301*o + 9333. What is the remainder when o is divided by 29?
27
Suppose 28*p - 1955 = 5*p. Suppose -2*u - m + p = 0, 0*u + 4*u - 2*m = 166. What is the remainder when u is divided by 15?
12
Suppose r - 4 = -1. What is the remainder when ((-168)/16 + r)*20/(-6) is divided by 22?
3
Let t = -21565 + 21573. What is the remainder when 10*1/2*3 is divided by t?
7
Let t(w) = -w**3 - 23*w**2 - 19*w + 153. What is the remainder when t(-22) is divided by 21/(2/(0 + 2))?
3
Suppose -2*f = -85 + 13. Suppose -2*u = -4*x - 44, 24 = 25*x - 29*x. What is the remainder when f is divided by u?
6
Suppose -2*l + 54 = -90. Suppose 0 = -65*x + 68*x - 240. Suppose 0 = 2*h + j - 2*j - 39, 4*j = 4*h - x. Calculate the remainder when l is divided by h.
15
Let r(h) = -12*h + 37. Let j be r(-4). What is the remainder when j + (-2 - 8)*3/6 is divided by 29?
22
Let h(s) = -2*s**2 - 15*s + 32. Let w be h(-8). Suppose -w*k = -298 - 182. Let r = 8 - 1. What is the remainder when k is divided by r?
6
Suppose 1360 = 9*l + 8*l. Suppose -4*h = 3*m - l, 13*m + 40 = 2*h + 16*m. Calculate the remainder when 37 is divided by h.
17
Let x(m) = -25*m + 1284 - m**3 - 2458 + 9*m**2 + 1224. Calculate the remainder when 111 is divided by x(4).
21
Let i(x) be the first derivative of -8*x**2 - 64*x - 222. What is the remainder when 75 is divided by i(-8)?
11
Suppose 2*w + s - 22 = -3*s, 26 = 2*w + 5*s. Suppose 4*c + 12 = 0, -w*c - 793 = -5*y + 336. Calculate the remainder when y is divided by 25.
24
Suppose 3*k - 8 = -2*s, k + 3 = 3*s - 9. Let r = 222 + -193. Suppose 28*q - r*q + 15 = k. What is the remainder when 72 is divided by q?
12
Let b(v) = 47*v**2 - 786*v - 784. Calculate the remainder when 3820 is divided by b(-1).
47
Suppose 15*w - 1354 - 867 = 2684. What is the remainder when w is divided by 184?
143
Suppose 3*g = f + 366, 0 = -g - f + 92 + 26. Let w = 102 + -86. Let r(p) = p**2 - 15*p + 15. Calculate the remainder when g is divided by r(w).
28
Let b = 38 - 18. Suppose 125*i - 124*i = 10. Calculate the remainder when ((-10)/b)/(2/(-148)) is divided by i.
7
Suppose i - 2*d = 7 - 1, 0 = -4*i + 5*d + 18. Suppose -4*s - 3*l = -l - 116, 124 = 4*s - i*l. Calculate the remainder when 55 is divided by s.
25
Let z(j) = j**3 - 21*j**2 + 44*j - 10. Let k be z(12). Let y = k - -855. What is the remainder when y is divided by (0 - -1) + 26*1?
23
Let o = 1554 - 1531. Calculate the remainder when 37 is divided by o.
14
Suppose 0 = 5*u - 5*f + 65, -u + 0 = f + 21. What is the remainder when u/((-340)/576) - (-8)/(-10) is divided by 7?
0
Suppose 4*y - 55 = -y. Let v be ((-3)/6)/(2/4) - -6. Suppose v*g = -p + 10 + 20, g = -3*p - 8. Calculate the remainder when y is divided by g.
4
Calculate the remainder when 337/6 + 35/42 is divided by ((-105)/(-14))/(2/4).
12
Let j = 321 + -879. Let n = 582 + j. What is the remainde