der when 74/2*(0 + n) is divided by m(19).
24
Suppose -8*d + 90 = -190. Let w = d - 0. What is the remainder when 347 is divided by w?
32
Let z(x) = -x**3 + 13*x**2 - 21*x + 2. Let m be (-6)/9*(-426)/4. Suppose b = -3*y - b + m, -5*y + 3*b = -131. What is the remainder when y is divided by z(11)?
12
Suppose 0 = -24*a + 21*a + 1764. Suppose l = 5*q - 44, 0 = q - 278*l + 283*l - 40. What is the remainder when a is divided by q?
8
Let w = 7478 - 7466. What is the remainder when 1218 is divided by w?
6
Let n = 457 + -432. Calculate the remainder when (-344)/12*(-24)/(-64)*-16 is divided by n.
22
Suppose -4*b + 38 = 2*p, -b = -0*p - p - 2. Suppose 3*h - b*h + 84 = 0. Suppose -52*s + 962 = 86 - 3232. Calculate the remainder when s is divided by h.
16
Let d(m) = -10*m**2 - 159*m - 54. What is the remainder when d(-12) is divided by 35?
29
Suppose 0 = -2*t + 2*n + 264, 0 = -2*t - 2*n - n + 274. Let u = -3050 - -3126. Calculate the remainder when t is divided by u.
58
Suppose -4*n + 2*n = 40400 - 40834. Calculate the remainder when 1952 is divided by n.
216
Let i(j) = 98*j - 1394. What is the remainder when i(16) is divided by 32?
14
Suppose n + 2657 = 4*n + 5*u, 2*n + 4*u - 1774 = 0. What is the remainder when n is divided by 180?
159
Let i = 2 + 1. Let u(v) = 99*v**2 + v + 3. Let s be u(2). Let m = s - 378. Calculate the remainder when m is divided by i.
2
Suppose 4*b + 3*x = 28, -2*x + 0*x + 42 = 5*b. Let q(g) = b + 8*g + 3 + 8*g. Calculate the remainder when q(8) is divided by 36.
33
Let n(b) be the third derivative of -7*b**4/8 - 205*b**3/6 - 11*b**2 + b. Calculate the remainder when 164 is divided by n(-11).
8
Suppose 0 = i - 0*i - 18. Let c(r) = r**3 - 10*r**2 - 16*r + 29. Let p be c(11). What is the remainder when 1972/44 + p/(-22) + -1 is divided by i?
9
Let j = -10 + 120. Suppose 163 = 4*n - 5*h, 2*h = 4*h + 6. What is the remainder when j is divided by n?
36
Let n = 19389 - 19140. Let a = 18 - 4. Calculate the remainder when n is divided by a.
11
Suppose -20*f = -25*f + 1050. Suppose 19*u - f = 645. What is the remainder when 176 is divided by u?
41
Let z = -957 + 962. Suppose 4*x + 4*c - 52 = 0, 5*x + z*c + 19 = 6*x. Let m = -56 - -153. What is the remainder when m is divided by x?
13
Suppose 9*u - 139 = 329. Suppose 3*j = -12, u = 4*b + 21*j - 20*j. Calculate the remainder when 1*3/(-6)*-74 is divided by b.
9
Let i(s) = s**2 - 36*s - 29. Let k = 91 - 64. Calculate the remainder when k is divided by i(37).
3
Let y = 1074 + -1046. Calculate the remainder when 1035 is divided by y.
27
Let x = -3567 + 4069. What is the remainder when x is divided by 95?
27
Let b = 85 - 108. Calculate the remainder when 258 is divided by 12/2 - 0 - b.
26
Suppose -4*u + 136 = -9*o + 11*o, o = -u + 36. Suppose 4*c + 2*w - 3*w = u, -c = 5*w + 13. What is the remainder when 9 is divided by c?
2
Suppose 0 = i + 3*p - 32, -3 + 87 = 2*i - 4*p. Suppose i*f - 43*f + 70 = 0. Calculate the remainder when 23 is divided by f.
9
Suppose 4*l = k + 259, -k + l + l - 269 = 0. Let m = k - -332. Calculate the remainder when m is divided by 7.
4
Suppose -53 = -18*p + 109. Let t = -88 + 141. What is the remainder when 2/(-3 + 161/t) is divided by p?
8
Let b = 14776 + -14762. Calculate the remainder when 4952 is divided by b.
10
Suppose 3*d - 6*d - 12 = 0, 0 = -4*w - 5*d - 28. Calculate the remainder when 2848/48 - w/(-6) is divided by ((-1)/1)/((-4)/64).
11
Let s be 3/(-7) + 12 + (-528)/42. What is the remainder when 166 is divided by (-57 - -29)*(s + 0)?
26
Let o be 1*14/5 + (-17)/(-85). Suppose -z = -o*u - 104, -3*u - 199 = 2*z - 4*z. What is the remainder when z is divided by (-332)/(-10) + 1/(-5)?
29
Suppose 0 = i + 4*i. What is the remainder when 3 + 1 - -36 - 3 is divided by (4/6 + i)*(29 - -7)?
13
Suppose -645*s - 965900 = -745*s. What is the remainder when s is divided by 230?
229
Let w(d) = 6*d**2 + d - 1. Suppose 35*a = -13*a - 113*a + 23828. Calculate the remainder when a is divided by w(-3).
48
Let g(f) = 12*f - 287. Let v be g(-30). Let o = v + 670. What is the remainder when o is divided by 4?
3
Let b be 2 + (-13)/(52/288). Let w = 85 + b. Let i = 26 - w. What is the remainder when 24 is divided by i?
2
Let u(g) = 150*g**2 - 143*g + 435. Calculate the remainder when u(3) is divided by 124.
116
Let n(o) = -o**3 + o**2 + 2*o + 55. Suppose 0 = 3*z + 2*s + 3*s, 0 = -z - s. Calculate the remainder when n(z) is divided by 30.
25
Let u(y) = 109*y - 366. Calculate the remainder when u(8) is divided by 43.
33
Suppose -18*i + 36*i = 180. What is the remainder when 5027 is divided by i?
7
Let r be (-1459)/(-4) - (-20)/80. Let s = -262 + r. Let o(i) = -36*i - 1. What is the remainder when s is divided by o(-1)?
33
Suppose -8*q = -114 - 102. Let z = -19 + q. Suppose z*m + 265 = 13*m. Calculate the remainder when m is divided by 18.
17
Let j = 57 + -18. Let p(d) = -71 - 18*d + 39 + 2*d**2 + j. What is the remainder when 17 is divided by p(9)?
3
Let m(i) = -i + 15. Let g = 10 + -7. Let u(v) = v**2 - 10*v - 16. What is the remainder when u(13) is divided by m(g)?
11
Let x(z) = -2*z**2 + 11*z - 3. Let p be x(5). Let y(t) = 12*t + 8. What is the remainder when y(p) is divided by 26?
6
Suppose -152*z = -134*z. Suppose 18 - 195 = -2*x + 3*v, z = 2*v - 2. What is the remainder when x is divided by 44?
2
Let p = 21 + -51. Let w be p/(-50) + (-954)/(-10). Suppose 6*u + 0*u - w = 0. What is the remainder when u is divided by 11?
5
Suppose -4 = m - 75. Let n = 11 - -11. Suppose n = 2*p - 18. What is the remainder when m is divided by p?
11
Suppose -3*m + 9*m - 13 = 83. What is the remainder when 639 is divided by m?
15
Let r be 147/35 + (-3)/15. Suppose -n + 6 = -r*n. Let a(b) = -b**3 + 1. Calculate the remainder when a(n) is divided by 8.
1
Suppose 3*b = 7*b - 36. Let w(c) = -2*c**3 + 32*c**2 + 27*c + 121. What is the remainder when b is divided by w(17)?
1
Let o(f) = -116*f - 7905. Calculate the remainder when 579 is divided by o(-69).
84
Suppose 6*u + m - 610 = 0, -2068*u + 113 = -2067*u + 3*m. Let f = -6 + 12. What is the remainder when u is divided by f?
5
Suppose 3*c + 2*c - 75 = -p, -2*c = -2*p - 42. Let u = -12 + c. Let q = 5812 - 5804. Calculate the remainder when q is divided by u.
0
Suppose 6*j = j + 270. Suppose -92*n - 24 = -88*n. Calculate the remainder when j is divided by (-1 - -6)*(7 + -31)/n.
14
Let o(s) = s**3 - 31*s**2 - 30*s - 47. Let q be 24*((-2)/12)/(13/(-104)). Let u(c) = -5*c - 1. Calculate the remainder when o(q) is divided by u(-2).
8
What is the remainder when 656 is divided by 312/(-2028) - (3 + 9212/(-52))?
134
Suppose 2*w + 245 = 3*x, 180 = -15*x + 17*x + 2*w. Let g = -62 + 40. Calculate the remainder when x is divided by 4338/99 - 4/g.
41
Let q(v) = -78*v + 112. Let c(o) = -o**3 + 46*o**2 - 47*o + 83. Let z be c(45). What is the remainder when q(z) is divided by 60?
58
Let s(u) be the second derivative of -7/2*u**2 - 25*u - 4*u**3 + 0. What is the remainder when 78 is divided by s(-2)?
37
Let w be 27/(-4 + 111/27). Suppose -5*t = -5*f + 255, -4*t + w = 5*f - 3*t. Calculate the remainder when 95 is divided by f.
46
Suppose -3*z - 25 = -2*q, -5*q = 5*z - 0*q. Let p = 112 - 96. Calculate the remainder when (-12)/z - (-15)/25 - -43 is divided by p.
14
Let q = -136 + 218. What is the remainder when (-4)/(-3)*q - (-42)/(-126) is divided by 23?
17
Let q(b) = -309*b**2 + 5*b - 4. Let j be q(1). Let t = 858 + j. What is the remainder when t is divided by 24?
22
Let c = 252 - 222. Suppose 0 = -4*b + 5*b + 3. Calculate the remainder when -3 - 0 - b*39 is divided by c.
24
Suppose 4*d + 76 = 4*h, -97 = -5*h - 2*d - 23. What is the remainder when 1100 is divided by h?
12
Let o = -85 - -165. Let y = 125 - o. Calculate the remainder when 133 is divided by y.
43
What is the remainder when ((-21880)/(-66) - (-12)/(-66))/(131/393) is divided by 84?
70
What is the remainder when (-94878)/(-279) + 4 + (-6)/93 is divided by 50?
44
Suppose -80159 = -2834*g - 25267 + 38630. Suppose 2*u + 16 = 3*u. Calculate the remainder when g is divided by u.
1
Suppose 2*o - 4*o - 34 = 3*h, 2*h - o = -11. Let x(a) = -a**2 - 5 - 9 - 3*a - a - 6*a - 1. Calculate the remainder when 1 is divided by x(h).
0
Suppose 4*r - 13 - 19 = -2*g, g = 4*r - 26. Suppose 42 = -r*v + 189. Suppose -2*h + a = -h -