 - 3*v. Suppose t*n = 1106 + 1386. Calculate the remainder when n is divided by 6.
5
Let d(p) = -p**2 + 24*p - 7. Let o be d(23). Let c = 7 - 5. Suppose -3*a = -c*a - o. Calculate the remainder when 28 is divided by a.
12
Suppose -2*z - z = -18. What is the remainder when 105 is divided by z*(-10)/15*1 - -58?
51
Suppose 2*r = -2*r - 5*b + 387, -5*r - 5*b + 485 = 0. What is the remainder when 206 is divided by (-14)/r - 366/(-14)?
24
Suppose -4*b + 5*s + 2 = 0, 16 = -3*b - 3*s - 2*s. What is the remainder when 250 is divided by (11 + b)/(0 - (3 - 4))?
7
Let k = 11666 + -10845. Calculate the remainder when k is divided by 158.
31
Let z = 27539 + -18702. Calculate the remainder when z is divided by 34.
31
Let x(l) = l**2 + 14*l - 103. Let y = 68 + -39. What is the remainder when y is divided by x(6)?
12
Let f = 324 + -85. Suppose -371 + f = -6*u. Calculate the remainder when 213 is divided by u.
15
Suppose 8*a + 276 = 4*a. Let j = a - -61. What is the remainder when 34 is divided by 10 + j/(-20)*5?
10
Suppose 0 = 224*r - 211*r - 1937. Calculate the remainder when 288 is divided by r.
139
Let h(k) = -14*k + 18. Let w be h(2). Suppose -60 = -3*b + 24. What is the remainder when b is divided by 1*3*(-8)/12 - w?
4
Suppose 4*w - 378 + 298 = 0. Let o(g) = g + 10. What is the remainder when 86 is divided by o(w)?
26
Let h(m) = m**2 + 3*m - 5. Let k be (-19 - 1)*(-10)/25. Let l be h(k). Let p = l - 37. What is the remainder when p is divided by 12?
10
Suppose 5*s - 196 = -4*j - 31, 20 = 4*s. What is the remainder when 5069 is divided by j?
29
Let o(w) = -10*w + 116. Let x(c) = 6*c - 77. Let a(t) = -5*o(t) - 8*x(t). What is the remainder when 188 is divided by a(6)?
44
Suppose 0 = 4*w - 20*w + 22*w - 1992. What is the remainder when w is divided by 323?
9
Let u = 30705 - 30686. What is the remainder when 455 is divided by u?
18
Let n be (-4)/5 - (-245804)/130. Suppose n = 5*k - 1000. Calculate the remainder when k is divided by 10.
8
Let h(p) be the second derivative of 0 + 2*p**2 + 19*p + 2/3*p**4 + 13/6*p**3. What is the remainder when h(-5) is divided by 35?
34
Let w be (-2722)/16 - (-2)/16. Let j = w + 177. Suppose 0 = -t + 6*t - 20. What is the remainder when j is divided by t?
3
Let y be (-66)/(-8)*(-96)/(-36). Let n be (3 - y) + 4 + -3. Let g = n + 32. Calculate the remainder when 25 is divided by g.
11
Calculate the remainder when (3/(-1) - 36/(-8))*(-86 + 94) is divided by 3.
0
What is the remainder when -19 - 458*(-7)/2 is divided by 159?
153
Let o be 6/(-30)*-5 + 50. Suppose -4*l = 2*c - 48, -c + 4*c = l + o. Suppose 3*s + s = 132. What is the remainder when s is divided by c?
15
Suppose -60 = 3*y + 2*u, u - 20 = -0*y + y. Let i = 19 - y. What is the remainder when i is divided by 6 - -14 - (1 - 2)?
18
Let a = 8 + -5. Suppose -2 = -2*f + 2*p, 4*p = -a + 15. Calculate the remainder when 4 + 22 + -26 - (-232)/(6 + 2) is divided by f.
1
Let l(a) = -612*a + 2125. Calculate the remainder when 586 is divided by l(3).
8
Suppose 4*r = 1221 + 1451. Let p = 213 - r. Let n = -267 - p. Calculate the remainder when n is divided by 48.
44
Suppose -5*o + 990 = -l + 6*l, -5*l + 1017 = -4*o. Let i = -140 + l. Calculate the remainder when i is divided by 5*(-2)/10*-16.
13
Suppose 3*y + 2*y - 535 = 0. Suppose -23 = 4*c + 2*r - 149, -4*c + 7*r + 45 = 0. What is the remainder when y is divided by c?
26
Let j = -515746 - -516491. What is the remainder when j is divided by -5*(1 - 49/5)?
41
Suppose 2*l = 5*l - 6. Suppose l*u - 364 = -h, 0 = 2*h + 4*u - u - 729. Suppose 4*v = 10*v - h. Calculate the remainder when v is divided by 17.
10
Let y(v) = 2*v**3 + 13*v**2 + 5*v - 4. Let t be y(-6). Let q be (0 + 11/t)*(0 - -2). Suppose 161 = q*m - 37. Calculate the remainder when 52 is divided by m.
16
Calculate the remainder when 1314 is divided by 33/(-21*(-5)/280).
82
Let p(z) = -2*z - 80. Let d(x) = -3*x - 120. Let q(v) = 5*d(v) - 8*p(v). What is the remainder when q(3) is divided by 16?
11
Let r = -8758 - -9468. Calculate the remainder when r is divided by 51.
47
Let m(z) = z**2 - 61*z - 24. Let d be m(11). Let i = -570 - d. Calculate the remainder when 5 is divided by i.
1
Suppose 36684*p + 4845 = 36701*p. Calculate the remainder when 1072 is divided by p.
217
Let b = 3802 - 3779. What is the remainder when 474 is divided by b?
14
What is the remainder when 2286 is divided by (-4)/(-10)*(6 + (-30128)/(-32))?
12
Let a(q) = 2*q**3 - 18*q**2 - 10. Let t be a(9). Calculate the remainder when 55 is divided by (-6)/t + (-5 - 244/(-10)).
15
Suppose 0 = -i + 3*w + 105, 0 = 4*i - 293*w + 298*w - 624. Calculate the remainder when i is divided by 1 - (-2 + 1)*71.
69
Let r be 6/((-25)/68 + (-5)/(-20)). Let i = r - -81. Let f = 45 - i. Calculate the remainder when 37 is divided by f.
7
Let h(r) = -2*r**2 + 106*r + 1487. Let g = 52 - 31. What is the remainder when h(64) is divided by g?
16
Let v be 1/(-4) - 715/(-44). Suppose q - 18 = -v. Let l(i) = 10*i + 2. What is the remainder when 77 is divided by l(q)?
11
Suppose 92*l + 1012 = 115*l. Let y(c) = -c + 7. What is the remainder when l is divided by y(2)?
4
Suppose 14*i - 158 = -46. Calculate the remainder when 277 is divided by i.
5
Let q = 12821 - 12575. What is the remainder when q is divided by 129?
117
Suppose 9150 = 21*p + 162*p. What is the remainder when p is divided by (-1)/(1/(-74)*2)?
13
Let r be (-1)/(-2)*(1 + -298)*2. Let a = r + 302. Calculate the remainder when 224 is divided by a.
4
Let v(c) = c - 11. Let a be v(11). Suppose -2*t = 2*g - 64, t - 5*g + g - 7 = a. Let s(m) = m. What is the remainder when t is divided by s(5)?
2
Suppose 8744*f - 204 = 8738*f. What is the remainder when 638 is divided by f?
26
Let m be ((-11)/2 - -1)*(-12)/18. Let z(l) = 3*l**3 - l**2 - 18*l + 6. Calculate the remainder when 46 is divided by z(m).
22
Calculate the remainder when 347 is divided by 5*45/10*(-40)/(-15).
47
Let t(w) = -91*w**3 + 4*w**2 - 4*w + 2. Let o be t(1). Let n = 131 + o. Suppose -6*p - n = -8*p. What is the remainder when p is divided by 9?
3
Let l(d) = -d**2 - 23*d - 11. Let n be l(-22). Suppose -3*o + n*o - 48 = 0. Suppose 0 = o*v - 9*v + 81. What is the remainder when 78 is divided by v?
24
Let a be (33/11 - 1)*(-530)/(-4). What is the remainder when ((-10)/(-50)*-3)/((-1)/a) is divided by 56?
47
Let o(u) = 122*u**3 - 13*u**2 + 14*u - 1. What is the remainder when 1828 is divided by o(1)?
120
Let t(k) = k**2 - k + 11. Let s = 602 - 598. Calculate the remainder when t(0) is divided by s.
3
What is the remainder when (-2)/((-24)/(-1278))*64/(-6) is divided by 76?
72
Let y = -4591 - -4860. Calculate the remainder when 417 is divided by y.
148
Suppose -4*k + 3*o = 23, k = 3*k - 4*o + 24. Suppose 20*d + 3*d = -23. Calculate the remainder when (d - k - 2)*-38 is divided by 4.
2
Suppose -5*c + 0*c + 100 = 0. Calculate the remainder when 1 + -3 - 1751/(-17) is divided by c.
1
Let w(t) = t**3 - 12*t**2 + 2*t - 21. Let n be w(12). Suppose 3*i - n*q - 60 = -0*q, -5*q - 85 = -4*i. Calculate the remainder when 29 is divided by i.
14
Let p = 142 + -122. Let g(u) = -u**3 - u + 7. Let o be (0 - -9)*3/(-9). Calculate the remainder when g(o) is divided by p.
17
Let y = -10150 + 10153. What is the remainder when 501 is divided by y?
0
Let h be (86/(-6))/(2 - 14/6). Suppose h*b - 47*b + 84 = 0. Calculate the remainder when (-56)/b*54/(-8) is divided by 3.
0
Suppose 146*q = -112*q + 78690. What is the remainder when 1529 is divided by q?
4
Suppose -301*d = -8843 - 27578. Calculate the remainder when d is divided by 21.
16
Suppose 5948 = -3*a - 4*n, 5*n = a - 458 + 2428. What is the remainder when (5/(-15))/(10/a) is divided by 16 - 2/(-1*2)?
15
Suppose -340*v = -268*v + 800*v - 34880. Calculate the remainder when 2/(-7) - (-620)/14 is divided by v.
4
Let w = -53 + 77. Let d(f) = -27*f - 12. Let g(i) = -2*i + 7. Let t be g(5). Calculate the remainder when d(t) is divided by w.
21
Let s = 18860 - 18816. Calculate the remainder when 70 is divided by s.
26
Let p = 3 + -2. Let v(l) = -3*l**2 - 597*l - 15593. What is the remainder when v(-168) is divided by 0 - (-11 + 2 + p)?
7
Suppose 4*p + n = -606 + 7671, p = -2*n + 1754. Calculate the remainder when p is divided by 59.
57
Suppose 649*k - 543*k = 15900. What is the remainder when 314