a) is divided by 70?
68
Let r(i) = -26*i - 7. Let z be r(-5). Suppose -126 = -a - 4*a + 2*x, 5*a - x = z. Let b = a - -20. Calculate the remainder when b is divided by 9.
8
Suppose 0*n = -3*n - 5*v + 12, -n - 3*v = 0. Suppose n*m = 3*m + 216. What is the remainder when m is divided by 13?
10
Let m = -7 - -12. Let f(q) = q**2 - 5*q + 3. Let o be f(m). Suppose o*j + 5*c = 50, -58 = -5*j + c - 3*c. What is the remainder when 29 is divided by j?
9
Let w(i) = i**3 - 7*i**2 - 12*i - 30. What is the remainder when w(11) is divided by 27?
25
Let f(r) = 4*r**2 + 6*r - 5. What is the remainder when f(-4) is divided by 12?
11
Let t = -25 - -21. Let s(p) = -6*p + 4. Let h be s(t). Suppose -5*a + h = -2. What is the remainder when 16 is divided by a?
4
Calculate the remainder when 76 is divided by (-3 - -10) + 2 - -3.
4
Suppose -2*r + r = 29. Let d = 45 + r. Suppose -h = 5*o - 14, 3*o + 4*h = 7*o - d. What is the remainder when 4 is divided by o?
1
Let l(b) = -b**3 + 2*b**2 + 11*b + 10. What is the remainder when 63 is divided by l(-3)?
19
Let r = -8 - -18. Suppose 2*g = -p + 190, -p + 284 = -0*g + 3*g. Let z = g + -67. What is the remainder when z is divided by r?
7
Let t = -15 + 22. Let z be (-9)/21 + (-186)/(-42) + -4. Let j = t - z. Calculate the remainder when j is divided by 4.
3
Let i = -196 + 201. Let z be (-3 - 12/(-3))*53. Suppose -3*k - 2*k = -3*f - 65, 3*k = -f + z. What is the remainder when k is divided by i?
1
Let s(h) = -12*h - 14. Let i be s(-2). Let q = -9 + i. Calculate the remainder when 4 is divided by q.
0
Let b(z) = z**3 + 11*z**2 - 2*z - 5. Let j = 11 - 22. Let s = 22 - -10. Calculate the remainder when s is divided by b(j).
15
Suppose 192*m = 205*m - 7969. What is the remainder when m is divided by 88?
85
Let c(z) = -3*z - 8. Calculate the remainder when c(-7) is divided by 4.
1
Suppose 228 = f + 2*f. Suppose -18*l + 44*l = 624. Calculate the remainder when f is divided by l.
4
Let q(f) = 33*f - 3. Suppose 80*y + 4 = 82*y. Suppose 0 = -y*k + 3*k - 33. What is the remainder when q(4) is divided by k?
30
Let h = 412 - 392. Calculate the remainder when 87 is divided by h.
7
Suppose p = -5*c + 155, -4*c + p + 33 = -91. What is the remainder when 148 is divided by c?
24
Suppose 0 = 5*s - 3*h - 10, -5*h + 3*h = -4*s + 8. Suppose 36 = 3*w + 3*q, -s*q + 9 = -1. Calculate the remainder when (8 + -12)*(170/4)/(-5) is divided by w.
6
Let b = 1107 - 828. What is the remainder when b is divided by 7?
6
Let f(z) = z**3 - z**2 + 2*z - 5. Suppose -5*i - 2 - 8 = 5*d, -3*i + 4*d + 29 = 0. Calculate the remainder when 36 is divided by f(i).
17
Let t(h) = -5*h**2 - h + 2. Let i be t(1). Let a = i - -39. What is the remainder when a is divided by 18?
17
Suppose 0 = 2*a - 2 - 4. Suppose -190 = -2*y - 5*g, -2*y + a*g = -g - 172. What is the remainder when y is divided by 31?
28
What is the remainder when (-1)/(2/(-126)) - (4 - 5) is divided by 13?
12
Let r(s) = -2*s + 89*s**3 - 2*s**2 - 182*s**3 + 2 - 4*s**2 + 91*s**3. What is the remainder when r(-4) is divided by 4?
2
Let w(g) = 17*g**3 - g + 1. Calculate the remainder when w(2) is divided by 47.
41
Suppose 220 = v + v. Let a(c) = -42*c - 37. Let b be a(-6). Let i = b - v. Calculate the remainder when i is divided by 27.
24
Let c(u) = -u**3 + 9*u**2 - 18. Let d be c(10). Let w = d - -195. Calculate the remainder when w is divided by 21.
14
Calculate the remainder when -3 + (-7 - -4 - -63) is divided by 24.
9
Suppose 0 = 2*t - 163 + 7. Let j = -384 + 400. What is the remainder when t is divided by j?
14
Let c be ((-3)/(-6))/(9/540). Let w = -7 - -5. What is the remainder when 27 is divided by c/4 + w/4?
6
Let y = 42 - 29. Suppose 9*w - y*w = -104. Calculate the remainder when w is divided by ((-7)/(-3))/((-2)/(-6)).
5
Suppose 0 = -6*h + 12*h - 4350. What is the remainder when h is divided by 56?
53
Let s be (-4 + (-56)/(-12))/(4/1308). Suppose -3*i - c = 3*c - s, -2*i = -2*c - 150. What is the remainder when i is divided by 27?
20
Let h(d) = d**2 - 7*d - 135. Calculate the remainder when 376 is divided by h(16).
7
Suppose -5*a + 2*o = 6, -3*a + 5*o + 1 = 16. Suppose -4*u + 3*c + 9 = 0, -2*c + a*c + 17 = 5*u. Let i = 0 - -9. Calculate the remainder when i is divided by u.
0
Suppose 2*q = -2*q + 176. Suppose -7*n = -4*n + 33. Let s(f) = -f + 12. Calculate the remainder when q is divided by s(n).
21
Suppose i - 2 = 2. What is the remainder when ((-78)/(-9))/(8/12) is divided by i?
1
Let z be 1/(-2) + (-21)/(-6). Suppose -54 = -2*b + 2*o, -3 = b + z*o - 22. What is the remainder when b is divided by (-413)/(-49) + 52/91?
7
Let l(g) be the third derivative of g**4/12 + g**3/2 - 8*g**2. Calculate the remainder when 35 is divided by l(3).
8
Let d be 1/5 - (-24)/5. Let i(l) = -2*l. Let r(x) = -13*x + 3. Let z(h) = -21*i(h) + 3*r(h). What is the remainder when 70 is divided by z(d)?
22
Let n(o) = -o**2 + 14*o - 1. Let t be 15/(-2)*(-1 + -1). Suppose -6 = m - t. What is the remainder when n(12) is divided by m?
5
Let r = 1650 - 1090. What is the remainder when r is divided by 17?
16
Suppose 0 = 14*w + 812 - 3290. What is the remainder when w is divided by 90?
87
Let j be ((-2)/3)/((-2)/15). Suppose 25 = 3*c + 5*b, 3*c + 2*b = 4 + 6. Suppose c = j*m - m - 48. What is the remainder when 34 is divided by m?
10
Suppose -o = 43 - 48. What is the remainder when o/1 - (-558)/9 is divided by 17?
16
Let m = 7 + -5. Suppose 4*d = m*d + 6. Suppose r = -2*k + 5*k - 25, 4*k - d*r = 25. What is the remainder when k is divided by 4?
2
Let u(z) = -z**2 + z + 3. Let v be u(0). Let y = 36 - v. What is the remainder when y is divided by 18?
15
Suppose 2*b - 1639 = -9*b. Calculate the remainder when b is divided by 19.
16
Let r(b) = -2*b**3 + 8*b**2 + 15*b + 4. What is the remainder when 160 is divided by r(-3)?
75
Let m(y) = y**2 + 4*y + 3. Let f be m(-1). Suppose 6*n - 55 - 173 = f. Calculate the remainder when 4/6*(-894)/(-4) is divided by n.
35
Let i = -52 + 102. Let w = -25 + i. What is the remainder when w is divided by 9?
7
Let g(x) = -8*x + 200. Calculate the remainder when g(15) is divided by 27.
26
Let h be (1 + -2)/((-1)/4). Suppose -h*v = -4 - 4. Suppose 5 = 4*b - 11, -v*u = -5*b - 50. Calculate the remainder when u is divided by 9.
8
Let z = -9 - -28. Suppose -5*r + 51 - 1 = 0. What is the remainder when z is divided by r?
9
Let s(c) = 5*c - 34. Let q be ((-10)/(-7))/(2/14). Calculate the remainder when 30 is divided by s(q).
14
Let r = -269 + 96. Calculate the remainder when r/(-9) - (3 + (-25)/9) is divided by 6.
1
Let y be -3 + 99 - 0 - 4. Suppose 3*d = 4*a - 57, -3*d - y = -4*a - 7*d. Suppose -9*s - a = -10*s. Calculate the remainder when 51 is divided by s.
15
Let i(a) = -5*a**3 + 6*a**2 - a - 8. Let b(o) = -o**3 + 1. Let j(x) = 4*b(x) - i(x). What is the remainder when 70 is divided by j(6)?
16
Let w(a) = -a**2 - a - 1. Let t be w(-2). Let v(u) = -6*u + 3. What is the remainder when 83 - (23 + -11 + -9) is divided by v(t)?
17
Let s be (-4)/(-2)*(-9 + 10). Suppose 4*k - 4*z = 24, -k + 0 = -s*z - 5. What is the remainder when 26 is divided by k?
5
Let u = -468 + 619. What is the remainder when u is divided by 84?
67
Let h(m) = -13*m - 322. Calculate the remainder when 151 is divided by h(-26).
7
Suppose 14*r = 63*r - 784. What is the remainder when 57 is divided by r?
9
Let d(z) = z**3 + 5*z**2 - 9*z - 5. Let g(p) = -37*p**2 + 279*p - 89. Calculate the remainder when g(7) is divided by d(-6).
12
Suppose -y + 10 = -u, -y = 4*u + 7 + 3. What is the remainder when (5/(-9))/(-5)*y*105 is divided by 18?
16
Suppose -3*p + 5*p - 83 = -5*t, 3*p + 71 = 4*t. What is the remainder when 180 is divided by t?
10
Let i = -1577 - -1617. What is the remainder when 423 is divided by i?
23
Let b = -2 - -7. Suppose -4*h = 4*d - 71 - 1, -5*d + 63 = -4*h. What is the remainder when 1*5 + 15/(d/2) is divided by b?
2
Let m be (-5104)/(-72) + 2/18. Let l = -64 + m. What is the remainder when l is divided by 4?
3
Calculate the remainder when 121 is divided by ((-218)/(-763))/((-4)/(-602)).
35
Let l = 102 - 22. What is the remainder when 718 is divided by l?
78
What is the remainder when 11 is divided by (1575/(-14))/(-15) - (-1)/(-2)?
4
Suppose -3*q - q + 343 = 5*d, 6 = 2*d. What is the remainder when q is divided by 28?
26
Let t = -25 