ed by 31.
28
Suppose 6*r + 5*c = 8353, -6*c + 4*c + 10 = 0. Calculate the remainder when r is divided by 87.
83
Let n(v) = -4*v + 66. Suppose t = 50 + 34. What is the remainder when n(12) is divided by (-1)/5 + t/20?
2
Let a be (-5)/210*-7 + (-77)/(-6). Suppose 0 = r + 5*t - 19, a*t - 14*t = -r + 19. Let l = 35 - -20. What is the remainder when l is divided by r?
17
Suppose 4*p - 2*w = -0*w + 70, 3*w = -2*p + 55. Suppose -g + 26 + p = 0. Suppose 0 = 11*o - 74 - 66 - 36. What is the remainder when g is divided by o?
14
Suppose -8*s + 3*s + 55 = q, -5*q + 2*s + 383 = 0. Let b = 2 + 3. Suppose d - 14 = b. What is the remainder when q is divided by d?
18
Let z = 40 + -21. Suppose z*x - 44 = 8*x. Suppose -x*o + 5*y + 14 + 15 = 0, y + 31 = 5*o. Calculate the remainder when 29 is divided by o.
5
Let t be ((-12)/16*-4)/(-3) - 10. What is the remainder when 1/(-2)*1/(t/1562) is divided by 25?
21
What is the remainder when 0 + (-9)/(-30) - (-10865499)/1570 is divided by 12?
9
Let f be (22/6 - (-8)/(-2))*-591. Let k = 212 - f. Calculate the remainder when 17 is divided by k.
2
Let j be 28*((-4)/8 + -1). Let p be 6 - ((-2)/7 + (-12)/j). Suppose p*s = 9*s - 63. What is the remainder when 61 is divided by s?
19
What is the remainder when (-3586)/652 + (-693)/(-2) is divided by 110?
11
Suppose 3*s = f + 155, 5*s + 4*f + 85 = 315. What is the remainder when ((-384)/(-15))/(20/s) is divided by 24?
16
Calculate the remainder when 10/8 - 46/(4416/(-96840)) is divided by 46.
44
Suppose 112*d - 5668 - 5980 = 0. Calculate the remainder when 380 is divided by d.
68
Suppose 292*v - 295*v = -6. What is the remainder when 46 is divided by v/(1 + 0) - -24?
20
Let x(h) = 6*h**3 - 23*h**2 - 4*h + 2. Let f(p) = -2*p + 1. What is the remainder when f(-5) is divided by x(4)?
1
Let t = 135 + -126. Suppose t*j - 7*j - 18 = 0. Suppose 0 = j*z + 229 - 1129. What is the remainder when z is divided by 17?
15
Suppose z - 67 = 3*h, -2*z - 37*h + 38*h + 114 = 0. Calculate the remainder when 609 is divided by z.
4
Let w(l) = 2*l**2 + 2*l - 199. What is the remainder when 188 is divided by w(-11)?
20
What is the remainder when ((-22)/10 + (-10)/200)*(-2476)/3 is divided by 12?
9
Suppose 1368*f - 48588 = 1356*f. Calculate the remainder when f is divided by 20.
9
Let r(m) = 2*m**3 - 21*m**2 + 13*m - 24. Let j be r(10). Suppose j*n - 1432 - 902 = 0. Calculate the remainder when n is divided by 14.
11
Suppose -2*w + 100 = 4*v, w + 3*v = 30 + 20. Suppose 13*n = 15*n - w. Suppose 0 = -20*p + n*p - 75. Calculate the remainder when p is divided by 9.
6
Let h = 4 - 22. Let n = h - -65. Calculate the remainder when 140 is divided by n.
46
Suppose n - 6 = -z, 11*n - 12*n + 12 = -z. What is the remainder when 44 is divided by n + (12/(-2) - -3)?
2
Let i = -1993 + 3774. What is the remainder when i is divided by 54?
53
Suppose 13*w - 402 = 1184. Suppose 2*u + 5*y = 2*y + w, -75 = -u - 5*y. What is the remainder when 56 is divided by u?
1
Let s be 2/5 - (-14)/(-35). Suppose s*g = -6*g - 108. Let h(c) = -c**2 - 19*c - 6. What is the remainder when h(g) is divided by 2?
0
Let l(o) = 2*o**2 + 3*o - 1. Let c = 108 + -84. Let m = 78 - c. Calculate the remainder when m is divided by l(-4).
16
Calculate the remainder when 32160/45 + (-2)/(-6) is divided by 41.
18
Suppose 6*r = 98 - 26. Let p(a) = 3*a**2 - 69*a + 132. Calculate the remainder when r is divided by p(2).
0
Let l(s) = s**3 + 11*s**2 - 14*s - 19. Let u be l(-12). Suppose 4*i - 2*y - 3 + u = 0, -4*i + 4*y - 8 = 0. Calculate the remainder when 9 is divided by i.
0
Calculate the remainder when (-1 + (-63)/(-84))*-1332 is divided by 29.
14
Let d(u) = u**2 - 10*u + 17. Let s(y) = y**2 + 4*y - 1. Let g be s(-4). Let x be -1 + g + (-10)/(-3)*3. What is the remainder when 2 is divided by d(x)?
0
Suppose -4346*m - 4*b = -4351*m + 2072, 3*b = 2*m - 833. Calculate the remainder when m is divided by 149.
114
Let z be (-2 + -3)/(-5*(-7)/70). Let q(u) = -u**3 + 8*u**2 - 5*u - 10. Let a be q(7). Calculate the remainder when 784/(-35)*z/a is divided by 31.
25
Let f(w) = -w + 5. Let c be f(1). Suppose 4*i = -12, -o - 15 = -c*o + 2*i. Suppose o*v = v + 6. What is the remainder when 13 is divided by v?
1
Let r = 356 - 339. Suppose -r*z = -93 - 757. What is the remainder when z is divided by 21?
8
Calculate the remainder when 1031 is divided by (0 - 1)*-1 + (486 - 467).
11
Suppose 4*y - 5276 = 4*b, 5*y - 4899 = 2*b + 1711. Calculate the remainder when y is divided by 61.
43
Let i be (5/(225/72))/((-2)/10). What is the remainder when i*(3 + -2) - -349 is divided by 57?
56
Let b(q) = q**3 + 10*q**2 - 10*q + 17. Let a be b(-11). What is the remainder when 9977/33 + 0 - (-4)/a is divided by 17?
14
Suppose 98 = -8*w + 10*w. Calculate the remainder when (-3)/((-12)/1148)*(11 + -10) is divided by w.
42
Let h = -14 + 44. Suppose 0 = -3*s - 5*a + 85, -a - h = -2*s + a. What is the remainder when 2 + -6 + 160/(-2)*-1 is divided by s?
16
Let f(b) = -700*b + 18292. Calculate the remainder when 5700 is divided by f(26).
88
Suppose 0 = 12*y - 4*y + 56. Let g(u) = u**2 + 6*u. Suppose 9*n - 41 = 256. What is the remainder when n is divided by g(y)?
5
Suppose 3*a - 21 = 0, 0 = 2*q + 2*a - 3521 - 7395. Calculate the remainder when q is divided by 133.
131
Suppose -u - 4*o + 5*o = -302, 2*o = 6. What is the remainder when u is divided by 260?
45
Let i be ((-62)/(-4))/((-3)/(-6)). Suppose 5*o - 211 = -i. Suppose -16*h = -20*h + 564. Calculate the remainder when h is divided by o.
33
What is the remainder when 466 is divided by 28952/196 + 6*(-7)/(-147)?
22
Suppose -3*p = -16*r + 12*r + 3891, 3*r - 2913 = 4*p. What is the remainder when r is divided by 35?
30
Let d = -93 + 109. Let l = -93 + 105. Suppose -120 = -l*n - 0*n. Calculate the remainder when d is divided by n.
6
Let v(n) = -n**3 - 13*n**2 + 23*n - 37. Let m = -67 + 100. Calculate the remainder when v(-15) is divided by m.
2
Let t be ((-1793)/(-66))/((-1)/(-6)) - -1. Let r = t - 158. What is the remainder when -3*(1 + -10 - 0) is divided by r?
3
Let i(a) = a**3 + 6*a**2 + 5*a + 15. Let j be i(7). Let s = j - 403. Calculate the remainder when s is divided by 57.
56
Let r = 28 - 39. Calculate the remainder when (-11 + r)*11/(-2) is divided by 15*2 - (-5)/(15 - 10).
28
Let b(u) = 134*u - 3482. What is the remainder when 144 is divided by b(27)?
8
Suppose -4*b = -2*x - 16, 2*b - x - 4*x - 8 = 0. Suppose 15 = 3*i, 6*i - 79 = -b*r + 3*i. Calculate the remainder when 24/(-9 + 21) + 59 is divided by r.
13
Let x(o) = o**2 - 7*o + 11. Let l be x(6). Let b = 196 + -100. Suppose l*w - 79 = 4*c - 7*c, 2*w - b = -4*c. Calculate the remainder when c is divided by 4.
3
Let s(m) = m**3 + 2*m**2 + 2*m + 4. Let y be s(-3). Let k = -5 - y. Suppose -2*f = 2*o - k, -f + 5 = 5*o + 2. What is the remainder when 4 is divided by f?
1
Let z = 7511 + -7259. Calculate the remainder when z is divided by 217.
35
Suppose 233765 = 195*p - 57370. Calculate the remainder when p is divided by 88.
85
Suppose -10 = j - 3*u, -58*u + 60*u = 6*j - 100. What is the remainder when j is divided by 2/(-9) - 38/(-9)?
0
Let j(p) = 5*p**2 + 2*p - 8. Suppose b - 594 = -5*f - 284, -2*b = -2*f + 124. Calculate the remainder when j(6) is divided by f.
60
Suppose -y = -2*g - 2*g + 59, -4*g = -2*y - 98. What is the remainder when 4*y/(-6)*4 is divided by 27?
23
Let y be ((-4)/10 - (-886)/(-10))*3. Let f = y + 294. What is the remainder when 47 is divided by f?
20
Let a = 177 + -162. What is the remainder when a is divided by -9 + 4 + 3 + 5?
0
Let v be 1/(-2)*(-5 - 1). Suppose 0 = 4*x - d + 215, -3*d + 166 = -v*x - 7*d. Let t = -42 - x. Calculate the remainder when 43 is divided by t.
7
Let d(p) = -18 + p + 2 - 3 - 2. Let f be d(21). Suppose -2*o + 4*y - 2 = -0*y, -2*o - 3*y + 12 = f. What is the remainder when 6 is divided by o?
0
Let s = 23 + -24. Let p(a) be the first derivative of -5*a**2/2 + a - 13. Calculate the remainder when 22 is divided by p(s).
4
Let r = 359 - 296. Suppose 4*k = -r + 91. Calculate the remainder when 90 is divided by k.
6
Suppose -150 = -3*m - 2*o, -4*o + 7*o = 4*o. Calculate the remainder when 374 is divided by m.
24
Let q be ((-3)/(-6))/(3/(-719 + 5)). Let u = q + 123. Suppose u*v = -2*a - 3*a + 773, -2*a + 388 = 2*v. What is the remainder when v 