alculate the remainder when v is divided by 8.
6
Suppose -16*m + 47642 = 47578. Let y(s) = -s**3 + 7*s**2 - 2*s + 5. What is the remainder when y(6) is divided by m?
1
Suppose -837*c + 815*c + 12650 = 0. What is the remainder when c is divided by 64?
63
Calculate the remainder when ((-7)/2)/((-2)/4) is divided by (-9 + 62/6)*(8 - (-65)/(-10)).
1
Let w = -348 - -481. What is the remainder when w is divided by 111?
22
Let h(v) = v**3 - 5*v**2 + 3*v - 9. Let i be h(5). Let q be ((-4)/i)/((-2)/(-18)) - 3. What is the remainder when 72 is divided by (-33 + q/(-3))*3/(-6)?
12
Let f be ((-2)/5)/(10/(-50)). Let u be ((-248)/(-32) - 5) + 2/8. Suppose f*g - u*g = -4*w + 8, -5*g = -4*w - 8. What is the remainder when 19 is divided by w?
1
Suppose 0 = -319*p + 295*p + 5664. What is the remainder when 488 is divided by p?
16
Let s(x) = -11*x - 1. Let j = 189 - 125. Let t = -53 + j. What is the remainder when s(-4) is divided by t?
10
Let h be (1 + 1)*(4 - (-9)/(-3)). Let i be 72/4 - (-6)/h. Let t = i + -13. What is the remainder when 16 is divided by t?
0
Suppose -33*i = -1934 - 13807. Suppose 0 = -2*p - 4*g + g + 323, 3*g - i = -3*p. Calculate the remainder when p is divided by 27.
19
Let p(j) = 9*j**2 + 7*j - 62. Let z(t) = -21*t**2 - 15*t + 125. Let d(x) = 5*p(x) + 2*z(x). Calculate the remainder when 119 is divided by d(-6).
11
Let k(x) = -41*x**3 - 2*x**2 - 2*x - 2. Let u be k(-1). Suppose 0 = 3*l - 348 - 129. What is the remainder when l is divided by u - (-2)/3*24/16?
39
Let a be -44 + (-2)/(-6)*-3. Let o = a - -89. Suppose -45*y = 2*y - 3901. What is the remainder when y is divided by o?
39
Let d = 148 - 136. Let f(k) = k**2 - 7*k - 51. What is the remainder when 16 is divided by f(d)?
7
Suppose -4 = 4*q - 24. Suppose -q*p = -4*p - 8. What is the remainder when ((-2)/27)/((-2)/1051) + 18/243 is divided by p?
7
Suppose 0 = 80*s - 1250 - 510. Calculate the remainder when 1360 is divided by s.
18
Suppose d - 613 = -4*h, 0 = -159*d + 154*d - 15. What is the remainder when h is divided by 42?
28
Suppose -473 = 5645*x - 5656*x. What is the remainder when 1792 is divided by x?
29
Let w(l) = -20*l + 253. Let j be w(-14). Let k = 543 - j. What is the remainder when k is divided by 6?
4
Let b = 6441 - 6411. Let g(x) = x**3 + 13*x**2 + 11*x - 4. What is the remainder when b is divided by g(-12)?
6
Let n(l) = l**2 + 17*l + 17. Let p be n(-15). Let v(y) = -y**2 - 18*y + 5. Calculate the remainder when v(p) is divided by 9.
7
Let u = 27 + -23. Suppose 0 = 6*i - u*i - 6. Suppose -2*f + i*s + 318 = 0, f - s - 157 = -0*f. Calculate the remainder when f is divided by 31.
29
Let w(g) = -129*g - 1114. Calculate the remainder when w(-11) is divided by 2.
1
Suppose 0 = 3*a + 2*q - 7210, -4*a = -5*q - 9828 + 161. What is the remainder when a is divided by 11?
10
Suppose 3*z + 18 = 0, -4*o + 17*z = 19*z - 128. Calculate the remainder when 63 is divided by o.
28
Let m = 176 + 40. Calculate the remainder when m is divided by -13 - ((-594)/10 + 72/30).
40
Let l(n) = -n**3 - 10*n**2 + 18*n + 184. What is the remainder when 1537 is divided by l(-10)?
1
Suppose -x + 22 = t, -395*x = 5*t - 393*x - 113. What is the remainder when 2942 is divided by t?
21
Let f be -1 - ((-23)/5 - 9/(-15)). Let j be (-2)/((12/(-44))/f). Suppose -20*g + j*g = 100. Calculate the remainder when g is divided by 19.
12
Calculate the remainder when -6 + 2*9/(-6)*2758/(-3) is divided by 29.
26
Let t(r) = r**3 + 13*r**2 + 10*r - 7. What is the remainder when 2383 is divided by t(-7)?
213
Suppose 2*u = 362*j - 363*j + 663, -2*u + 691 = 5*j. What is the remainder when 383 is divided by u?
55
Let o(c) = 3*c + 64. Suppose -3*a + 15 = 54. Calculate the remainder when 30 is divided by o(a).
5
Suppose -4*u = 2*z - 36, 5*u - 7 = 5*z + 23. Let n = -20 - -21. Calculate the remainder when n/(5/(-185))*-1 is divided by u.
5
Suppose 519*u - 524*u + 476 = 4*k, -4*u + 376 = 2*k. Calculate the remainder when 1190 is divided by u.
86
Suppose -35 = -50*j + 108 + 107. Calculate the remainder when 1467 is divided by j.
2
Suppose 884*g + t = 882*g + 1535, 4*g - 3085 = t. What is the remainder when g is divided by 256?
2
Calculate the remainder when 3608 is divided by 12/(-168)*-14 - -335 - 9.
11
Let k be 6 - (-5)/((-25)/10)*1. Suppose 4*h - 2*t + 53 = 403, 0 = -k*t + 20. What is the remainder when h is divided by 7?
6
Suppose 3*g - 15706 = -5*j, 4*j - 9170 = -4*g + 11790. Calculate the remainder when g is divided by 10.
7
Suppose -2*l + 2016 = 3*w, -l - 1804 = -4*w + 873. Suppose w = 31*z - 21*z. Calculate the remainder when 199 is divided by z.
65
Suppose 4*m + 0 + 8 = 3*d, d - 4 = 2*m. Calculate the remainder when m/(-1*(-1)/(-5)) is divided by -14*(-5)/100*10.
3
Let l(d) = -2*d**2 - 67*d + 406. What is the remainder when 436 is divided by l(-37)?
142
What is the remainder when 0 - (13 + -14 - 471) is divided by 83?
57
Let l = 169 - 133. Let p = l - 30. Calculate the remainder when 14 is divided by (-90)/20*(-8)/p.
2
Suppose 4*p = 4*a + 356, -2*p + a + 215 = 36. What is the remainder when p is divided by 32?
26
Let q(n) = n**2 + 19*n + 53. Let g be q(-16). Suppose 2*x = 3*m + 399, x = -0*x - g*m + 232. What is the remainder when x is divided by 16?
15
Suppose -7083*c = -7084*c + 32. What is the remainder when 891 is divided by c?
27
What is the remainder when (1354*1/5)/(21 - 3120/150) is divided by 7?
3
Suppose 1097*o - 868 = 1093*o. Suppose -x - o = -8*x. What is the remainder when 120 is divided by x?
27
Suppose -3*b + 3*j = 21, 0 = -b - 9*j + 4*j + 17. Let d be b/6 + (-10)/(-4). Let v = 19 - d. What is the remainder when 50 is divided by v?
16
Let m = -110667 - -110672. Let c = -17 + 12. Let z = 8 + c. Calculate the remainder when m is divided by z.
2
Let j(r) = -r**3 - 32*r**2 - 106*r - 4539. Let m(x) = -3*x**2 - 2*x. Let z be m(-4). Let l = -27 - z. Calculate the remainder when j(-33) is divided by l.
9
Suppose -2*s + 252 = o + 88, 0 = 5*o + 3*s - 799. What is the remainder when 1890 is divided by o?
152
Suppose -15*g - a + 3375 = -10*g, -3*a + 2013 = 3*g. What is the remainder when 4/(-26) - (-235352)/g is divided by 44?
40
Suppose 0 = -4*a + 65 - 21. Let u(z) = 12*z**2 - 13*z - 1. Let b(t) = t**3 + t. Let x(i) = b(i) - u(i). What is the remainder when x(a) is divided by 12?
10
Let q(a) = -a - 2. Let o be q(-3). Calculate the remainder when 12/(-6) - (-76)/o is divided by 8464/322 + -1 + 5/7.
22
Suppose 4*i - 599 + 115 = 2*z, -5*i - 3*z = -605. Let v = 229 - i. What is the remainder when v is divided by 37?
34
Suppose 0 = -2*s + 271 + 47. What is the remainder when s is divided by (-230)/69*(-243)/15?
51
Suppose 16*x + 456 = 907 + 4125. Calculate the remainder when x is divided by 8.
6
Suppose -a + w = -22, a - 5*w = 3*a - 79. Suppose -165 = 24*s - a*s. Calculate the remainder when s + -3 + (-1 + 4)/3 is divided by 15.
8
Suppose 4*g - 3*v = 41, -281*g + 285*g - 2*v - 38 = 0. What is the remainder when 935 is divided by g?
7
Let w(s) = -s**2 - 5*s + 38. Suppose 66 = 10*p + p. Suppose 0 = 20*c - p*c + 126. What is the remainder when 8 is divided by w(c)?
0
Suppose -95 = 3*o - 4*i, -5*o + 6*i = 2*i + 161. Let v(g) = g**2 + 34*g + 46. Calculate the remainder when 8/5*(-30)/(-2) is divided by v(o).
11
Suppose 0 = -13*p + 10*p + 39. Let i(t) = t**3 - 14*t**2 + 14*t - 8. Let c be i(p). Calculate the remainder when 58 is divided by ((-30)/c - -2) + 14.
8
Suppose -5*q + 2*o = -7*q + 466, -5*o - 452 = -2*q. Let i = q + -201. Calculate the remainder when i is divided by 8.
6
Suppose 2*b - 25 = -3*b. Suppose 0 = 3*d + 4*a - 26, a + 5 = b*d - 0*a. Suppose -d*u + m + 24 = -m, 3*m + 2 = u. What is the remainder when 67 is divided by u?
16
Let g(f) = f**3 - 14*f**2 + 26*f + 5. Let d be 6/4 - 51/2. Let w = d - -34. What is the remainder when g(12) is divided by w?
9
Let i(x) = x**2 - 30*x + 1270. What is the remainder when i(73) is divided by 10?
9
Suppose -13*c - 3929 - 2023 = -109*c. Suppose 0 = 3*w - 6, -w = 2*p - 0*p + 6. Calculate the remainder when c is divided by ((-14)/p)/((-2)/(-4)).
6
Let m(t) = -16*t - 64. Let r be m(-2). Calculate the remainder when 17/((-68)/r) + 264 is divided by 93.
86
Suppose -2*z = 5*y, -z = z - 2*y - 28. Let f = z + -8. Suppose b = 5*g + 138, 5*g - 414 = -b - f*b. What is the remainder when b is