he remainder when f is divided by i(-1).
13
Suppose 4*z = 4*p - 184, -3*p + 202 = p + 5*z. Calculate the remainder when p is divided by 25.
23
Let m(z) = z**2 - 14*z. Let u be 8 + (3 - 4)*-3. Let w = u - -2. What is the remainder when m(17) is divided by w?
12
Suppose -10*u = -12*u + 6. Suppose -u*h + 43 = -29. Calculate the remainder when 71 is divided by h.
23
Suppose a + 33 = 3*w, w + 5*a = -27 + 22. What is the remainder when 348 is divided by w?
8
Let b = -13 - -21. Suppose b*n - 65 = 3*n. What is the remainder when 28 is divided by n?
2
Suppose 0 = 5*q - p - 53 - 4, 2*q = -3*p + 33. What is the remainder when 40 is divided by q?
4
Suppose -5 = -5*k, 3*r + 261 + 538 = k. Let m = r + 433. What is the remainder when m is divided by 34?
31
Suppose -4*i - 5*b = -264, -5*i + 330 = 16*b - 19*b. What is the remainder when 151 is divided by i?
19
Calculate the remainder when (-21)/(-14)*(-4)/(-9)*159 is divided by 28.
22
Suppose 823 - 2335 = -36*j. What is the remainder when 141 is divided by j?
15
Let q = -15 - -19. Let l = -2 + q. What is the remainder when l/(-4) + 968/16 is divided by 31?
29
Let v = 571 + -509. Calculate the remainder when v is divided by 9.
8
Let y = 11 - 17. Let h be 1 - y/(-3) - -13. Let w = h - 10. Calculate the remainder when 3 is divided by w.
1
Suppose 0 = -3*v - 9, -j - 3 = -3*v - 27. Calculate the remainder when j is divided by 9.
6
What is the remainder when (-9)/(-18)*246/(0 + 3) is divided by 19?
3
Let w(f) = -f**3 - 5*f**2 - f + 3. Let u be w(-4). Let h = -4 - u. Suppose -5*y - 6 = -3*j, -j - 2*y = -0*y - 13. What is the remainder when j is divided by h?
2
Let i(n) = n**3 + 7*n**2 - 12*n + 81. Calculate the remainder when i(-7) is divided by 43.
36
Suppose 0*t - 70 = 2*t. Let v = 27 - t. Let b = 145 - v. Calculate the remainder when b is divided by 21.
20
Let q = 151 + -91. Suppose -5*b = -5 - q. What is the remainder when b is divided by 8?
5
Let y(w) = -18*w - 71. Suppose 4*d + 4*m - 16 = 0, -4*d + 29 = -3*m - 8. Calculate the remainder when y(-7) is divided by d.
6
Suppose 4*z - 9*z = -5*d, -z - 2*d + 15 = 0. Let o = -14 + 21. Calculate the remainder when o is divided by z.
2
Let f = 157 + -146. Let p(t) = -23*t - 5. Calculate the remainder when p(-2) is divided by f.
8
Let m(j) = -j**3 - 20*j**2 + 12*j + 7. Calculate the remainder when m(-21) is divided by 33.
31
Let k = -12 - -15. Suppose 0 = -k*s - 3*v + 10 + 56, -2*v = s - 25. What is the remainder when s is divided by 7?
5
Suppose 4*b - 533 = -l, 4*b - 530 = -2*l + 8. Let d(g) = 7*g - 8. What is the remainder when b is divided by d(5)?
24
Let y be ((-5)/(-10))/(1/6). Let z = y + 5. Let j(r) = -r**2 + 8*r + 7. Calculate the remainder when j(7) is divided by z.
6
Let h(r) = 7*r**2 - 2*r + 2. Suppose 5*j = -0*q + 4*q + 302, -3*j + 3*q + 180 = 0. Let t = j - 43. Calculate the remainder when t is divided by h(1).
5
Suppose 0 = -996*k + 989*k + 259. Calculate the remainder when 347 is divided by k.
14
Let q be 1/4 - (-33)/(-4). Let a(m) be the first derivative of m**3/3 + 3*m**2/2 + 8*m + 454. Calculate the remainder when a(q) is divided by 13.
9
Suppose -222*p - 560 = -230*p. Calculate the remainder when p is divided by 9.
7
Let b(u) = -13*u. Let k(s) = -3*s**2 - 6*s - 6. Let q be k(-5). Let i = 87 + q. What is the remainder when i is divided by b(-1)?
10
Let j be 4/(-20) - 42/(-10). Suppose 0 = -5*c + j*g + 141 + 1745, 2*g = -2*c + 758. Suppose 7*o = o + c. What is the remainder when o is divided by 16?
15
Suppose -54 = -3*y - 2*y + 3*w, w = 3*y - 34. Let m(b) = b**2 - 7*b - 4. Let i be m(8). Let z = y + i. What is the remainder when 28 is divided by z?
12
Let i(j) = 19*j - 7. Let a be i(-11). Let z = 303 + a. Calculate the remainder when z/15 - (-1)/5 is divided by 4.
2
Let t be 1 - (0 - (2 + 2)). Suppose 5*k = 20, l + 5*k - 14 - t = 0. Calculate the remainder when 29 is divided by l/(2*(-4)/64).
5
Suppose 0 = 52*m - 46*m - 396. What is the remainder when m is divided by 34?
32
Let i = 19 - 14. Suppose -2*u - 3*u + i = 0. Let j = -2 - -5. What is the remainder when j is divided by u?
0
Let q(x) = 5*x**3 + x - 1. Let o be q(1). Suppose a - l = l + 7, -o*a + 4*l + 5 = 0. What is the remainder when 30 is divided by ((-2)/a)/((-1)/(-12))?
6
Suppose g + 209 = 2*f + 27, 3*f - 284 = -4*g. Calculate the remainder when f is divided by 19.
16
Let o(d) = d**3 - 39*d**2 + 271*d + 11. Calculate the remainder when 1024 is divided by o(30).
40
Let t(s) = 8*s - 2. Suppose 5*d + 4*v = -20, 0*v = 2*d - 2*v - 10. Suppose 3*a - 7 + 4 = d. What is the remainder when 17 is divided by t(a)?
5
Let t(c) = -c**2 - c + 88. Let i(b) = b - 7. Let d be i(7). Suppose d = -2*w + 21 + 39. Calculate the remainder when w is divided by t(-9).
14
Suppose 0 = -5*v + 3*v + 172. What is the remainder when v is divided by 2?
0
Suppose 0 = 4*w - 425 + 101. Calculate the remainder when 727 is divided by w.
79
What is the remainder when (-21660)/(-69) - (-4)/46 is divided by 28?
6
Suppose -29*f = -5087 - 3265. What is the remainder when f is divided by 58?
56
Let k = -49 - -63. Suppose 2*s = -0*s + k. What is the remainder when s is divided by 3?
1
Let v(y) = 4*y - 5. Let c be v(2). Suppose c*r - 6*r = 3. Calculate the remainder when (2 - 1 - 12)/r is divided by 7.
4
Let g(w) = w - 3. Let h(p) = p**3 - 3*p**2 + p. Let x be h(3). Suppose 0 = -x*r - 2*r + 70. Calculate the remainder when g(r) is divided by 6.
5
What is the remainder when (-5)/((-30)/(-96))*140/(-8) is divided by 83?
31
Let j = -113 - -148. What is the remainder when 160 is divided by j?
20
Let s = 84 - 43. Let g = s + 9. Calculate the remainder when g is divided by 11.
6
Suppose -3*s - 4*l = 1 - 118, -l + 3 = 0. What is the remainder when s is divided by 50*9/(270/12)?
15
Suppose -185 = 4*w - 7*w - 4*x, 5*x = 5*w - 285. Calculate the remainder when 352 is divided by w.
57
Suppose -3*m - 2*a - 60 = -5*m, 10 = -5*a. Suppose -6*o = -8*o + m. Calculate the remainder when 22 is divided by o.
8
Suppose 0 = -48*u + 45*u + 39. What is the remainder when 348 is divided by u?
10
Suppose 63*k + 393 = 66*k. Calculate the remainder when k is divided by 25.
6
Let n = -532 + 613. Calculate the remainder when n is divided by 12.
9
Let j(n) = n**3 - 11*n**2 + 12*n. Let x be j(10). Suppose 0 = -6*q + 46 + x. Calculate the remainder when 30 is divided by q.
8
Suppose -3*b + 4*m = -2, -5*b - 2*m = -4 - 8. Suppose 0*h + 4*h - b = -5*s, 4*s + 23 = 5*h. Let g = 100 + -98. What is the remainder when h is divided by g?
1
Suppose 0 = -4*x - 4*i + 276, -3*x + 0*i + 5*i + 191 = 0. Calculate the remainder when 334 is divided by x.
66
Suppose 27*o + 240 = 31*o. What is the remainder when 211 is divided by o?
31
What is the remainder when 1043/14*(4 + -2) is divided by 19?
16
Let y(h) = -h**3 - 9*h**2 - 11*h + 7. Let p(a) = -a**2 - 6*a + 19. Let j be p(-9). What is the remainder when y(j) is divided by 17?
14
Let o be (-52)/(5 + -2 - (3 - 1)). Let t = o - -65. Calculate the remainder when 17 is divided by t.
4
Let m(f) = 12*f**3 + 96*f**2 - 6*f - 4. What is the remainder when 114 is divided by m(-8)?
26
Let m(f) = f**3 - 13*f**2 + 2*f - 7. Let k be m(13). What is the remainder when (-4)/(-22) - (-8)/11*k is divided by 2?
0
Suppose 4*v + 3*w - 93 = 0, -5*v + 2*v + 3*w + 75 = 0. Suppose 3 = -3*r - 6. Calculate the remainder when 24 is divided by (13/r)/((-8)/v).
11
Suppose 24*g + 4*t = 19*g + 332, 3*g - 2*t = 208. Calculate the remainder when g is divided by 7.
5
Let h(q) = -2*q**3 + 6*q**2 - 5*q - 3. Let t(j) = -j**3 + 3*j**2 - 2*j - 2. Let c(k) = -3*h(k) + 5*t(k). Calculate the remainder when 19 is divided by c(2).
4
Let s(o) = -o**3 - 9*o**2 - 2*o - 11. Suppose 3*r = -2*m - 0 + 8, 0 = 2*m + r. Let u = m + -7. Calculate the remainder when 26 is divided by s(u).
5
Let y = -4 - -11. Let k(i) = 2 + y*i + 0 + 0*i - 3*i. Calculate the remainder when 65 is divided by k(5).
21
Let r = 24 - -9. Suppose -5*v = d - 40, 5*v + 2*d - 7 = r. What is the remainder when 14*28/v*1 is divided by 10?
9
Let x(y) = 13*y**2 - 3*y + 2. Calculate the remainder when 220 is divided by x(1).
4
What is the remainder when 1/((-14)/4) - (-1236)/14 is divided by 47?
41
Let h(m) = 3*m + 5. Calculate the remainder when 214 is divided by h(1).
6
Suppose 78 + 86 = 4*p. Suppose -3*l + 15 - 3 = 5*u