 the remainder when f is divided by j?
1
Let v(b) be the third derivative of b**6/120 + b**5/5 + 7*b**4/6 - 11*b**3/6 + b**2 + 40. What is the remainder when 797 is divided by v(-7)?
37
Let u = -9198 + 9696. Calculate the remainder when u is divided by 244.
10
Let k = 145 + -130. Suppose 0 = 2*x + 3*y + 10, x + 3*y + 13 = 2*x. Let f = 25 + x. Calculate the remainder when f is divided by k.
11
Let i(d) = 194*d - 10741. Calculate the remainder when 2836 is divided by i(57).
300
Suppose -12*w + 728 - 764 = 0. What is the remainder when -276*1/w - 10 is divided by 111/4 + 2/8?
26
Let x = -4 + 3. Let r be 2 + 0/x - 2. Let i(t) = -t**3 - 2*t**2 + t + 41. Calculate the remainder when i(r) is divided by 23.
18
Let a = -19570 + 20057. Calculate the remainder when a is divided by 64.
39
Let b(r) = 115*r**3 - 3*r**2 - 148*r + 306. What is the remainder when b(2) is divided by 57?
6
Suppose -4*f = -23 - 73. Suppose -5*g + 0 = 5. Calculate the remainder when 42 + (g - -5) + -4 is divided by f.
18
Calculate the remainder when 910 is divided by 92 - -30*34/(-255).
30
Suppose 3*g + 400 = -263. Let n = 331 + g. What is the remainder when n/(1/(-5) + (-55)/(-25)) is divided by 19?
17
Let c = 6981 + -3760. Calculate the remainder when c is divided by 1064.
29
Suppose 110*r + 3856 = 114*r. Suppose -r*m = -971*m + 546. What is the remainder when m is divided by 46?
32
Let f be 1/(-5)*2 - (-736)/(-10). Let a = -72 - f. Suppose a*t - 36 = -2*t. What is the remainder when 24 is divided by t?
6
Suppose -51*w = -47*w - 8. What is the remainder when (-3 - 0)*w/(-6)*35 is divided by 10?
5
Let y(f) = 19*f**2 + 1022*f - 191. Calculate the remainder when 5499 is divided by y(-54).
24
Suppose k + 68 = y, -y + 4*k + 3*k + 104 = 0. Calculate the remainder when y is divided by 23.
16
Suppose 3*w + 4*z - 177 = 0, 43 = 4*w - 4*z - 137. What is the remainder when w is divided by 28?
23
Calculate the remainder when 8 + 1701/((-126)/(-18)) is divided by 64.
59
Let p = -26 + 58. Calculate the remainder when 8/32*-2 - (-1012)/8 is divided by p.
30
Suppose 4*d - 251 = -5*g, 0 = -2*d - 3*g - 0*g + 127. Let w = d - 14. What is the remainder when 223 is divided by w?
43
What is the remainder when 1507 is divided by ((-771)/(-12))/((-6)/(-24)) - 7?
7
Let j(d) be the first derivative of d**3/3 + d**2 + 60*d + 1. Suppose -6*t + 9*t = 42. What is the remainder when j(-9) is divided by t?
11
Let c(j) = j + 26. Suppose -t + 22 = -2*t. Let f = t + 60. What is the remainder when f is divided by c(-12)?
10
Suppose -6*u + 369 = 345. Calculate the remainder when (-301)/(-14) - (-1)/(-2) is divided by u.
1
Suppose 4*o + 104 = 4*q, -4*o - 8 + 12 = 0. What is the remainder when 969 is divided by q?
24
Let g = 5204 + -5151. What is the remainder when g is divided by 1?
0
Suppose -1 = -4*h + 27. Suppose -9*a = -200 - h. Calculate the remainder when (-4)/8*6 - -91 is divided by a.
19
Let f = 1063 + 4648. What is the remainder when f is divided by 12?
11
Calculate the remainder when (-20380)/(-12) + 532/114 is divided by 93.
29
Let b be (1/(-3))/(1/(-102)). Let w = b + -36. Let s(n) = 9*n**2 - 3*n - 4. What is the remainder when s(w) is divided by 22?
16
Let q(w) = -w**2 + 92*w - 1086. What is the remainder when q(41) is divided by 3?
0
Suppose 1946*h - 1944*h - 3*i - 22639 = 0, 11332 = h - 4*i. Calculate the remainder when h is divided by 73.
70
Let q(b) = -23*b**3 - 2*b**2 + 5*b + 8. Suppose 0 = t + 4*u - 55, t + 87 = 2*t - 4*u. Calculate the remainder when t is divided by q(-1).
23
Suppose z + 16*z = -1870. Let j = z - -140. Calculate the remainder when 54 is divided by j.
24
Suppose 5*n - 5*s - 648 = 7*n, 326 = -n - 3*s. Let q = n + 439. Calculate the remainder when q is divided by 19.
11
Let b = -5989 + 6221. What is the remainder when b is divided by 26?
24
Let r(y) = 6*y + 3. Let s be r(0). Suppose 4*w - j + 10 = 102, s*j + 60 = 3*w. Calculate the remainder when 311 is divided by w.
23
Calculate the remainder when 21/6*(-8)/14 - -760 is divided by 55.
43
Let g be (-6)/(-10) - 8/5. Let j(k) = 21*k**2 + 15*k + 15. What is the remainder when j(g) is divided by 8?
5
Suppose -2*s = -2*u + 2418, -210*u + 213*u = 4*s + 3624. Calculate the remainder when u is divided by 64.
60
Let g = -12 + -11. Let c = g + 48. Calculate the remainder when c is divided by 16/(-30)*-15 - -1.
7
Suppose 90*w - 5*y = 88*w + 37, 3*w = 3*y + 87. Suppose 0*q + 2*q = 166. Calculate the remainder when q is divided by w.
11
Let k(w) = -2*w**3 + 13*w**2 + 4*w + 41. What is the remainder when k(-6) is divided by 24?
5
Suppose 2*p = -2*p - h + 41, -5*h = -5. Let f = -340 + 928. Suppose -5*j - f = -26*j. What is the remainder when j is divided by p?
8
Suppose q = 132 + 46. Suppose -173*c = -q*c - 25. What is the remainder when 4/c*(-3060)/24 is divided by 27?
21
Let d(k) = -288*k - 1394. Calculate the remainder when d(-7) is divided by 20.
2
Suppose 6*m - 565 = 3*m + 5*x, -4*m + x + 793 = 0. Calculate the remainder when m is divided by 98.
4
Let r be 905 - 0/((-1)/(-1)). Suppose -5*c = -0*n - n - r, -c - 5*n = -155. Calculate the remainder when c is divided by 46.
42
Let o = 224 + -224. Suppose 3*q - 255 = -10*p + 13*p, -3*q - 3*p + 285 = o. What is the remainder when q is divided by 44?
2
Suppose 28*h - 5*z = 32*h - 223, 25 = -5*z. Suppose d = -0*d. Calculate the remainder when h is divided by d - 2 - (0 + -23).
20
Let o = -3239 + 3526. Calculate the remainder when o is divided by 31.
8
Suppose -252 = 107*d - 103*d. Let a = -59 - d. Calculate the remainder when ((-2)/a*-2)/(1/36) is divided by 14.
8
Suppose -5*y + 5*w = -38095, -6*w + w = 2*y - 15189. What is the remainder when y is divided by 162?
160
Let y be 6 - (-75)/(0 + 1). Suppose 105 = -y*u + 84*u. Calculate the remainder when u is divided by 10.
5
Suppose 19*t - 18*t = -206. Let a = 229 + t. Calculate the remainder when a is divided by (-1)/(10/12)*-5.
5
Let n = 9509 - 8307. What is the remainder when n is divided by 303?
293
Suppose -33*z + 34*z - 3*i = 2051, 0 = -z - 3*i + 2027. What is the remainder when z is divided by 85?
84
What is the remainder when 362 is divided by (-17 - -19)*((-10)/12)/((-3)/261)?
72
Suppose -5*l + 39*f = 41*f - 2353, 0 = 4*l - 5*f - 1889. Calculate the remainder when l is divided by 49.
30
Suppose -h = -5*f - 61, -f - 257 = -11*h + 6*h. Calculate the remainder when 92 is divided by h.
41
Let l = -2 + 4. Suppose 3*z - 3*t - 68 = -t, 0 = -2*z + l*t + 48. What is the remainder when ((-30 - -14) + 15)*-49 is divided by z?
9
Let d(n) be the third derivative of -n**6/120 + 7*n**5/20 - 31*n**4/24 - 9*n**3 - n**2 - 49*n. What is the remainder when 315 is divided by d(19)?
78
Let q be 205/(-65) - -3 - 4/(-26). Suppose 8*i = -q*i + 472. Suppose v = c - i - 13, -4*c - 3*v + 295 = 0. Calculate the remainder when c is divided by 25.
23
Suppose 0 = 3*u + 12, -37 = -4*d + 2*u + 75. Calculate the remainder when 216 is divided by d.
8
Let h(g) = -g**3 - 17*g**2 - 12*g - 130. What is the remainder when 1034 is divided by h(-17)?
72
Calculate the remainder when 55/(-8 + (-996)/(-124)) is divided by 192.
169
Calculate the remainder when (-3)/(22/((-210298)/33)) is divided by 172.
9
Suppose -7*b + b = 42. Calculate the remainder when 61 is divided by -2 + (-2 - b) + 42/2.
13
Suppose 0 = 440*k - 438*k + 2*g - 26, 5*k - 60 = -4*g. Suppose -76 = -3*i + i. What is the remainder when i is divided by k?
6
Suppose 5*j + 25 = 0, -2*j - 4 = 3*x - x. Let l(r) = 22*r**2 + 3*r - 1. Calculate the remainder when l(x) is divided by 26.
24
Let z(m) = 6*m - 8. Let w be z(6). Let b = w - -355. Calculate the remainder when b is divided by 64.
63
Let y = -56 + 104. Let f = y + -34. Let s(l) = -l**3 + 14*l**2 + 2*l + 2. What is the remainder when 179 is divided by s(f)?
29
Let y(k) = 8*k - 43. Let b be y(5). Calculate the remainder when 184 is divided by (b*(-38)/(-9) + 5)*-6.
0
Suppose 2*q - 12 = 3*d, -d = -4*d. Calculate the remainder when 322 is divided by q.
4
What is the remainder when 1244 is divided by 0 - (-1)/4 - 4536/(-288)?
12
Suppose -3 = -2*x + 91. Let t = x + -9. Let n = 41 - t. What is the remainder when n is divided by 1?
0
Suppose -3*y - 210*o + 208*o = -21, 0 = 2*o - 6. Suppose 0*u - 65 = -5*u. Suppose -3 - u = -4*s. What is the remainder when y is divided by s?
1
Let