remainder when v is divided by 4?
1
Let z(i) = 11*i + 34. Let v be z(6). Suppose -137*k = -132*k - v. Calculate the remainder when k is divided by 8.
4
Let z(w) = 218 + 21*w - 2*w - 91 - 83 + 20*w**2. Calculate the remainder when z(-2) is divided by 45.
41
Let d(n) = -n**2 - 8*n. Suppose 13 = -4*r - 15. Calculate the remainder when ((-6)/4)/(-2 + (-370)/(-200)) is divided by d(r).
3
Suppose 5*l - 1671 = -4*z, 4*l = 19*z - 20*z + 426. What is the remainder when z is divided by 48?
30
Let g = -116 - -214. Suppose -3*p + 4*m - 58 = 0, 2*m = p + p + 42. Let f = -1 - p. Calculate the remainder when g is divided by f.
23
Suppose 0 = p - 61 + 8. Suppose 3294 + 2358 = 36*q. Calculate the remainder when q is divided by p.
51
Suppose p - 250 = -0*p + 4*j, 0 = 4*p - 5*j - 956. Suppose -5*u + 4*u = -3*o - 230, -2*o = -u + p. Calculate the remainder when u is divided by 61.
59
Suppose -30*l - 3990 = -23*l. Let w = 687 + l. What is the remainder when 240 is divided by w?
6
What is the remainder when 430 is divided by 13 + -2*(0 - (-30)/12) + 364?
58
Suppose 3*p - 4*u = 4958, 2*u + 4960 = 23*p - 20*p. Calculate the remainder when p is divided by 45.
34
Let f be (459/12)/(-3)*(-400)/60. Let l = f - -314. What is the remainder when l is divided by 68?
59
Let f(g) = -13*g**2 + 1012*g + 169. Calculate the remainder when 11633 is divided by f(78).
11
Suppose -200*m + 59437 = -334763. What is the remainder when m is divided by 68?
67
Let i = 2 - 10. Let b(z) = 6*z - 10*z - 4 - 7*z**2 + 2*z - z**3. What is the remainder when b(i) is divided by 16?
12
Let p(c) = -6*c**3 - 4*c**2 + c - 1. What is the remainder when p(-3) is divided by 4 + -13 - 126/9*-1?
2
Suppose -3*l = -4*o - 670, -4 = 4*o + 12. Calculate the remainder when l is divided by 75.
68
Suppose -235*u - 120539 = -201281 - 219353. Calculate the remainder when u is divided by 16.
13
Let f be 19 + -17 + 10 + 6. Let y(x) = 3*x + 4. Calculate the remainder when -34*((-99)/f - -4) is divided by y(3).
12
Let i(d) be the second derivative of -d**4/12 + 5*d**3/6 - 5*d**2 - 7*d. Let t be i(4). Let z = t - -14. Calculate the remainder when 29 is divided by z.
5
Let f = -6215 - -6282. Calculate the remainder when f is divided by 51 - ((-12)/4)/(-3).
17
Let t = -27 - -48. Let y = -2484 - -2966. Calculate the remainder when y is divided by t.
20
Suppose 4*t - 235 = 3*i + 176, i + 5*t = -118. Let d = i + 134. Calculate the remainder when d + -2 - (-82)/1 is divided by 14.
11
Suppose -4*c - c + 200 = 0. Let y(l) = -l**2 + 176*l + 1558. What is the remainder when y(184) is divided by c?
6
Let y = -2429 + 2452. What is the remainder when 850 is divided by y?
22
What is the remainder when (21/(-30)*90/12)/((-3)/532) is divided by 240?
211
Let i(a) be the second derivative of -11*a**3/6 + 4*a**2 + 2718*a. Suppose 7*f - 2 = 5*f, -4*s + f - 5 = 0. Calculate the remainder when 75 is divided by i(s).
18
Let y(b) = 4*b + 51. Let g be y(-12). Suppose -4*p - 2*w - 3*w + 249 = 0, g*p - 3*w = 153. Calculate the remainder when p is divided by 15.
11
Suppose 4*g - b = 37, 3*g - 2*b - 3*b - 49 = 0. Suppose -g*q - 70 = -1110. Suppose -5*x = -q - 10. What is the remainder when 76 is divided by x?
20
Suppose 0 = 15*u - 38167 + 33112. Calculate the remainder when u is divided by 13.
12
Let j(c) = -c**3 + 4*c**2 - 5*c + 6. Let a be j(3). Suppose 2*h + 91 = 3*h + 3*d, a = -d - 3. Let v = h - 76. Calculate the remainder when v is divided by 11.
2
Suppose 14*n + 205 - 1227 = 0. Calculate the remainder when 1239 is divided by n.
71
Let z(x) = x**2 + 2*x + 1. Let u be z(-3). Suppose 30*o - 8 = 112. Let i = u + o. Calculate the remainder when 30 is divided by i.
6
Let v(d) = -10*d - 25. Let c = -339 + 605. What is the remainder when c is divided by v(-7)?
41
Let n = 33 + -12. Let x = 5884 - 5867. What is the remainder when n is divided by x?
4
Let j(c) = -c**2 + 4*c + 22. Let v be j(4). Suppose -v*w + 175 = -15*w. Calculate the remainder when 98 is divided by w.
23
Let v be 201/15 - 4/10. Let s = v - -1. Suppose -8*p = -9*p + s. Calculate the remainder when p is divided by 5.
4
Calculate the remainder when 23 is divided by 6 + 18 + -18 + 0/(-1).
5
Suppose 0 = -11*v + 21*v + 120. Let b be 2/(v/(-8) - 2) + 230. Let g = b + -48. Calculate the remainder when g is divided by 10.
8
Let x(t) be the second derivative of -3*t**5/20 - t**3 - 7*t**2/2 + t + 52. What is the remainder when 141 is divided by x(-1)?
1
Let z = 29974 - 29761. Calculate the remainder when 241 is divided by z.
28
Suppose 7 = -k - 2*h + 20, -3*h = -5*k. What is the remainder when (-234)/4*(-30)/135*k is divided by 11?
6
Suppose 4*c - 79 + 51 = 0. Suppose c*g + 353 = 1046. What is the remainder when g is divided by 20?
19
Calculate the remainder when 8 + -2 - 25 - -12 - 4372/(-2) is divided by 10.
9
Let w be ((-1)/(-1))/((-36)/(-16) + -2). Suppose 229 = w*d - 4*f - 47, -2*d + f = -136. Let l = d - 58. Calculate the remainder when 59 is divided by l.
5
Suppose 4348 + 9566 = -18*t. Let l = 892 + t. What is the remainder when l is divided by 26?
15
Suppose -a - 2 = -8*g + 6*g, -2*a + 17 = 3*g. Suppose -3*u + 9 + 12 = 0. What is the remainder when u is divided by a?
3
Suppose -2*y + 7 = 3*z, 2*y + 3 = -0*z - z. Suppose 0*f - 4*g - 5 = z*f, -4*g = 20. Suppose f*h - 8*h + 80 = 0. Calculate the remainder when 50 is divided by h.
2
Suppose 864 = -190*w + 199*w. Suppose 12 + w = 12*c. Calculate the remainder when 42 is divided by c.
6
Let m = 597 - 575. Calculate the remainder when 2766 is divided by m.
16
Let a = 2669 + -2144. Calculate the remainder when a is divided by 17.
15
Let b(l) = 1622*l**3 - 6*l**2 - 6*l + 14. What is the remainder when b(1) is divided by 232?
0
Let d(p) be the first derivative of p**4/4 - 6*p**3 + p**2/2 - 15*p - 1. What is the remainder when 4 is divided by d(18)?
1
Suppose -48 = 2*s - 124. Let c(r) = -r - 26. Let a be c(5). Let n = a + 39. What is the remainder when s is divided by n?
6
Suppose -7417 = -16*u + 1063. Let y = -69 + u. Calculate the remainder when y is divided by 42.
41
Suppose -35 = q - 3*q + l, -94 = -5*q - 4*l. Suppose q*r + 30 = 28*r. Calculate the remainder when 27 is divided by r.
0
Let z(y) = 267*y**2 - 269*y**2 - 4 - 9*y + 3. Let v be z(-4). Suppose -v*d + 2*s = 6*s - 82, -5*d + 94 = -4*s. Calculate the remainder when 85 is divided by d.
19
Let l = 2935 - 2841. What is the remainder when 116 is divided by l?
22
Suppose -4*c = -2*c + 22. Let r = 11 + 13. Let d = c + r. What is the remainder when d is divided by 7?
6
Suppose 0 = 2*o + 5*o + 28. Let u be o/6*(-81)/27. Calculate the remainder when 29 is divided by (-3)/u*16/(-3).
5
Let p(r) = 148*r - 979. Calculate the remainder when p(10) is divided by 111.
57
Let x(j) = -3*j**2 + 264*j - 430. What is the remainder when ((-113)/3 + 2)*-12 is divided by x(86)?
84
Let h = 263 - 189. Calculate the remainder when h*(-28)/(-32) - (-2)/8 is divided by 16.
1
Let u = -4730 - -5034. Calculate the remainder when u is divided by 66.
40
Suppose 0 = 6*b - 12. Suppose -b*u - 33 + 81 = 0. Calculate the remainder when 334 is divided by u.
22
Let h = -5 - 7. Calculate the remainder when ((-278)/(-3))/((-9)/(162/h)) is divided by 28.
27
Let s be 24/30*(0 - (-15)/2). What is the remainder when 199 is divided by 54/4 - s - 3/(-6)?
7
Suppose -842*j = 162*j - 8032. Suppose 4*o + 3*w = 23, w = 2*w - 5. Suppose o*i - 14 = 110. What is the remainder when i is divided by j?
6
Suppose -20 = -6*r + 148. Let v(u) = 74*u + 525. What is the remainder when v(-6) is divided by r?
25
Let z be 9/(-1)*(-6)/(-9). Let i = 141 + z. What is the remainder when i is divided by 14?
9
Suppose -2*g + 354 = 3*r - 110, r - g - 148 = 0. Suppose 12 = 2*s - 8. Let x(z) = 3*z - 8. Calculate the remainder when r is divided by x(s).
20
Let n be 8 - (-1897)/7 - (4 + -1). Suppose 0 = 14*m - 12*m - n. What is the remainder when m is divided by 18?
12
Let q = -536 - -1028. Let d = 517 - q. Suppose -54 = -4*c - g, -3*g + 8*g - 18 = -2*c. Calculate the remainder when d is divided by c.
11
Suppose 0 = -w + 11 - 7. Let i(q) = q + 5*q + 26 - w*q. What is the remainder when 57 is divided by i(-8)?
7
Suppose -2*y - t + 293 = 2*t, t = -y + 146. Let b(x) = x**2 + 108*x - 12659. Calculate the remainder when y is divided by b(-179).
45
Suppose k + 108 = 112