ded by 53.
26
Suppose 5*s + 32 - 1237 = 0. Let j = s + -26. Calculate the remainder when j is divided by (29 + -30)*3*12*-1.
35
Let r(m) = -20. Let p(l) = -l + 20. Let f(s) = 6*p(s) + 7*r(s). Calculate the remainder when f(-12) is divided by (-13 - -16)/((-1)/(-6)).
16
Let r(s) = 7*s + 8. Let a be r(6). Suppose -4*n + 9*n = -a. What is the remainder when -15*((-14)/30 - (-2)/n) is divided by 7?
3
Let m(j) be the second derivative of -j**4/12 + j**3 + 5*j**2/2 + 2*j + 20. Let a be (1/1)/(1/6). What is the remainder when 12 is divided by m(a)?
2
Let w be 0*(0 + (3/(-2) - -1)). Suppose -n - 12*t + 9*t + 27 = w, 4*n = -5*t + 115. Suppose 0 = 2*h - 52 - 64. What is the remainder when h is divided by n?
28
Calculate the remainder when (-818)/(-8) + 1/(-4) is divided by ((-15)/10)/((-125)/4750).
45
Suppose 59 = -6*v - w + 573, -5*w = -v + 65. Calculate the remainder when 156 is divided by v.
71
Let x = -473 + 485. Calculate the remainder when 136 is divided by (-7 - 3/x)*-4.
20
Suppose 8*z - 4*z + 2*y = 16, -z + 18 = 4*y. What is the remainder when z*-30*12/(-18) is divided by 19?
2
Let j be ((-48)/(-70) + (-22)/77)*-285. Let y = j + 149. What is the remainder when 136 is divided by y?
31
Let m = 268 + -265. Suppose -9 - 1 = 2*v, -m*i + 5*v = -40. Suppose -d = -2*r - 25, 4*r = 4 + 4. Calculate the remainder when d is divided by i.
4
Let q(c) = -16*c - 185. What is the remainder when 274 is divided by q(-20)?
4
Let o be (-42)/10 - 1/(-5). Suppose -13*l + 10*l - 81 = -3*q, 4*q + 5*l = 81. Calculate the remainder when -4*33/(-2) - o is divided by q.
22
Let a = 798 - 1152. Let w be (-1)/(-5) - a/30. Suppose 0 = -11*z + 13*z - w. Calculate the remainder when 22 is divided by z.
4
Suppose -79*n + 90*n - 165 = 0. Calculate the remainder when 6447 is divided by n.
12
Let b be (20/40)/((-1)/(-4)). Let i be (8/(b/1))/1. Suppose 5*q - i*w - 65 = -7, 2*q = -3*w + 14. Calculate the remainder when 32 is divided by q.
2
Let s(p) = 22*p**2 + 3*p. What is the remainder when s(-2) is divided by -8*(-1)/48*102?
14
Suppose 0*l + 408 = 2*y + l, -y + 203 = l. Suppose 2*i + 4*f - 45 + 15 = 0, -5*f = 2*i - 31. Calculate the remainder when y is divided by i.
10
Suppose -m = -2*r + 65, 3*m - 190 = -3*r - 2*r. Suppose -85*o = -18*o - 871. What is the remainder when r is divided by o?
9
Let s(l) = l**2 - 2*l + 7. Let t be s(0). Suppose y + m = t, -2*m = 4*y - m - 34. What is the remainder when 112 is divided by y?
4
Let s(t) = t**3 + 7*t**2 - 10*t + 6. Suppose 5*k + 4 = 9. Suppose -25 + k = -4*f. Calculate the remainder when s(-8) is divided by f.
4
Let l(v) = 4*v**3 - 65*v**2 + 7*v - 48. Calculate the remainder when l(17) is divided by 86.
78
Suppose 3*a - 975 = -168. Let n = -167 + a. What is the remainder when n is divided by 29?
15
Suppose 56 = 15*j + 13*j. Suppose 640 = 8*f + j*f. Calculate the remainder when f is divided by 16.
0
Let c = 52 + -75. Let x = 27 + c. Calculate the remainder when 72 is divided by 609/42 - (-2)/x.
12
Calculate the remainder when 2986 is divided by (-954)/(-81) + -12 + ((-544)/(-18) - 4).
22
Calculate the remainder when ((-3078)/(-152))/(-4*(-3)/912) is divided by 20.
19
Suppose -3609 - 1417 = 14*s. Let v = -335 - s. What is the remainder when 81 is divided by v?
9
Suppose -401*z - 2632 = -394*z. Let c = z + 595. What is the remainder when c is divided by 13?
11
Let k(p) = -p**3 - 27*p**2 - 42*p + 209. What is the remainder when 14858 is divided by k(-25)?
8
Suppose -38 = -3*c - j, c + 2*j + 2*j = 20. Calculate the remainder when 383 is divided by c.
11
Calculate the remainder when (-4 - (-10 - -175))*-6 is divided by 17.
11
Suppose 893 = 11*z + 585. Suppose 4*d = 23 + 193. Calculate the remainder when d is divided by z.
26
Suppose -5*w - w + 489 = -759. What is the remainder when w is divided by 15?
13
Let j(w) = w**3 - 5*w**2 - w + 7. Let p be j(5). Suppose 23*x - 16*x + 168 = 31*x. Calculate the remainder when -6*(p - (-13)/(-2)) is divided by x.
6
Suppose -12*q + 140 = -10*q + 33*q. What is the remainder when 14769 is divided by q?
1
Let j = -19 + 27. Suppose j*b = 6*b - 6. Calculate the remainder when b/(-7) + 242/7 is divided by 13.
9
What is the remainder when 830 is divided by 5 - ((-12)/(-42) - (-2 + 1434/21))?
49
Let f(a) = -10*a - 81. Let d = 121 + -130. What is the remainder when 61 is divided by f(d)?
7
Calculate the remainder when ((-2898)/(-92) + -34)*(-2677)/5*2 is divided by 64.
53
Let l = 36 + -33. Let n be (l/(-2))/(2/(-8)). Suppose n*f = -f + 42. What is the remainder when 9 is divided by f?
3
Calculate the remainder when 4825 is divided by (40/6)/(1*(-1358)/126 - -11).
25
Let r = 58110 - 58096. What is the remainder when (-2)/(-5) + 473/5 is divided by r?
11
Suppose -n + 0 = 4*k - 57, -k = 0. Calculate the remainder when 86 is divided by n.
29
Let a(r) be the first derivative of -r**4/4 - 6*r**3 - 15*r**2 + 55*r - 348. Suppose -3 = c - 93. Calculate the remainder when c is divided by a(-16).
21
Suppose -157 = -5*k + 3*r, -312*k + 5*r - 37 = -313*k. What is the remainder when 160 is divided by k?
0
Let t = -188 + 190. Let g(h) = 4*h**3 - 2*h**2 + 4*h - 3. What is the remainder when g(t) is divided by 17?
12
Suppose 0 = -4*p + 6*p - 6. Suppose v - 3 = -p*u + 2*v, 2*u = -3*v + 13. What is the remainder when (1/6 + 207/(-270))*-5 is divided by u?
1
Suppose 2*c - 1451 + 1121 = -v, 5*v = -5*c + 815. Calculate the remainder when c is divided by 44.
35
Let w(y) = -y**3 + 2*y**2 - 6*y + 3. Let k be w(6). Let j = -64 - k. Let p(u) = u**2 - 13*u + 9. What is the remainder when j is divided by p(14)?
21
Suppose -3*y + y + 5*m - 207 = 0, 2*m + 6 = 0. Let b = -91 - y. Let a(l) = 6*l + 35. Calculate the remainder when a(b) is divided by 52.
51
Suppose 3*c - 4*l - 415 = 0, 3*c - 7*l - 414 = -4*l. What is the remainder when c is divided by 64/12*-36*6/(-32)?
29
Suppose -4*k + 4*m + 25 = -3*k, k - m = 13. Suppose 0 = -3*z - 532 - 197. Let d = z + 258. Calculate the remainder when d is divided by k.
6
Let x(b) be the first derivative of b**4/2 - 2*b**3/3 - b**2/2 - 3*b - 1. Suppose 0 = 2*j - 5 - 1. Calculate the remainder when 55 is divided by x(j).
25
Let s(l) = -2*l**2 + 10*l - 2. Let b be s(5). Let k(p) = 8*p**2 + 3*p + 4. Let o be k(b). Let z = 34 - o. Calculate the remainder when 5 is divided by z.
1
What is the remainder when 1560 is divided by 172/(8 + (-80)/12)?
12
Suppose 8*p - 45 = -p. Suppose -s + i + 15 = s, -p*s - 2*i = -51. Let r(g) = g**2 - 5*g - 30. Calculate the remainder when 12 is divided by r(s).
0
Let a(o) = -19*o + 509. Let g = 40 + -31. What is the remainder when a(26) is divided by g?
6
What is the remainder when 8 - (-365)/(-2)*1008/(-420) is divided by 64?
62
Let j = 27967 + -24237. Calculate the remainder when j is divided by 24.
10
Let j = 331 + -215. Let c = -106 + j. Calculate the remainder when 55 is divided by c.
5
Suppose 5*i = -j + 27, 4*j + 29 = 2*i + 5. Suppose 0 = 3*u - 7*u + 240. What is the remainder when u is divided by 5 + (i + -1 - 3)?
4
Suppose -4*v + 5*z + 5871 = 0, -5*v - 225*z + 7344 = -226*z. Calculate the remainder when v is divided by 485.
14
Let p be 2/3 - ((-16)/3 - -6). Suppose 2*y = 4*j - 314, p = 10*j - 5*j - y - 400. What is the remainder when j is divided by 22?
15
Suppose 0 = -m + 22 + 46. Suppose 1 = h, 5*h - m = -7*y + 4*y. What is the remainder when y is divided by -3 + -3 + (-4 - -13) - -9?
9
Suppose 0 = -29*b + 9*b + 400. Calculate the remainder when 131 is divided by b.
11
Let l be 2/8 + 56/(-160)*-5. Let m be (l + (-1)/(-2))*38/5. Suppose -m*b + 16*b + 351 = 0. Calculate the remainder when b is divided by 12.
9
Suppose -49 = 4*g - 141. Let u(a) = 3*a**3 - 18*a**2 - 22*a + 41. Let y be u(14). Calculate the remainder when 4/22 + y/99 is divided by g.
22
Let f = -1710 - -1771. What is the remainder when 711 is divided by f?
40
Suppose -3*t + 20*s = 18*s - 55, -3*t + 3*s = -54. What is the remainder when 485 is divided by t?
10
Suppose 3*d = 2*s + 696, 2*s + 930 = 4*d - 0*s. Let c = d + -211. What is the remainder when c is divided by 11 - -3 - (-1)/(-1)?
10
Suppose 4*n + 169 = 3*f, 0 = 5*f - n - 125 - 185. What is the remainder when 165 is divided by 508/42 + (-6)/f?
9
Suppose -4*n - 79 = -791. Let g = n - 104. What is the remainder when g is divided by 22?
8
Let m(y) = y**3 - 4