. Suppose 22*t - b = 435. Calculate the remainder when t is divided by 7.
4
Let f(o) be the first derivative of o**4/4 + 13*o**3/3 - 5*o**2/2 - 19*o - 22. Calculate the remainder when 90 is divided by f(-13).
44
Let h = -6532 + 9019. What is the remainder when h is divided by 83?
80
Suppose 70 = 6*b + 8*b. Suppose -m + b*g + 25 = 3*g, 5*g - 20 = 0. Suppose -w - w + 34 = 0. What is the remainder when m is divided by w?
16
Suppose -2*n + 5*f + 1303 = 0, 24*f = n + 19*f - 654. What is the remainder when n is divided by 63?
19
Suppose 0 = j + 4, 4*j = 4*s - 87 - 17. Let t = 400 + -85. Suppose -25*k + 20*k = -t. Calculate the remainder when k is divided by s.
19
Suppose 2*i = 3*i - 17. What is the remainder when 45 - 18*(-6)/12 is divided by i?
3
Let x = 119 + -51. Let l = -25 + 234. Calculate the remainder when l is divided by x.
5
Let z = -10970 - -10988. What is the remainder when 531 is divided by z?
9
Let x = -150 - -268. Suppose 0 = -c + 33 + 2. Let u = c + -11. What is the remainder when x is divided by u?
22
Let i(n) = n**3 - 14*n**2 - 18*n + 407. What is the remainder when 16 - (0 - (1 - 0)) is divided by i(13)?
1
Suppose -j - 1130 = -2*z, 0 = -38*j + 37*j - 8. What is the remainder when z is divided by 196?
169
Suppose -68*d = 118*d - 4464. Calculate the remainder when 3354 is divided by d.
18
Suppose 0 = -4*h - 4*c + 980, 3*h + 89 = 3*c + 830. Calculate the remainder when 458 is divided by h.
212
Let u(t) = 1259*t - 1156. Calculate the remainder when u(5) is divided by 6.
3
Suppose -5*v + 28 = 3*n, 5*n = 3*v + 27 + 31. Suppose 2*u = 8, 2*i - 4*u + 62 = 4*i. Calculate the remainder when i is divided by n.
1
Suppose -1810 = 17*r - 15461. What is the remainder when r is divided by 26?
23
Let r = -3614 + 5623. Calculate the remainder when r is divided by 67.
66
Suppose 3*o - 7 = y, y + o + 21 = 6*y. Let r = -8 + 15. Let v = r + y. Calculate the remainder when 43 is divided by v.
7
Calculate the remainder when 5126 is divided by (119/(-28) - -5)*(-120)/(-9).
6
Suppose 5*h = 3*j + 657, -7*j + 9*j + 123 = h. Calculate the remainder when 360 is divided by h.
90
Let c(a) = 50*a**2 + 31*a - 6. Calculate the remainder when c(2) is divided by 41.
10
Suppose 41*j - 79973 = -7*j + 108139. Calculate the remainder when j is divided by 327.
322
Let g(f) = f**3 - f**2 - 2*f + 12. What is the remainder when 24/9*(-210)/(-4) is divided by g(0)?
8
Suppose 0 = -5*d + 15, 0*d = 4*o + 2*d - 138. Suppose 5*s - o = x - 10, -2*s = 3*x + 18. Calculate the remainder when 55 is divided by 116/x*-3*(-2)/(-3).
26
Let j(q) = 2*q**3 + 15*q**2 + 18*q. What is the remainder when 326 is divided by j(-3)?
2
Let d be -8 + 16 + -8 + 703. Let j = d + -660. What is the remainder when 126 is divided by j?
40
Let p = 320 - 2. Let n = -655 - -671. What is the remainder when p is divided by n?
14
Let g(t) = 11*t**3 + 11*t**2 + 3*t + 20. Let k(c) = 8*c**3 + 7*c**2 + 2*c + 13. Let w(v) = 5*g(v) - 7*k(v). Calculate the remainder when 155 is divided by w(5).
38
Suppose -35 = -2*k - n, -k + 0*k = 2*n - 25. Let z = 15 + -36. Let s = k - z. What is the remainder when 143 is divided by s?
35
Let y = 1 + 87. Let s = 5 - 3. Suppose s*l - 21 = 39. Calculate the remainder when y is divided by l.
28
Suppose 4*k = -2 - 2. Let s be (0 - 0 - (-4 - k))*25. Suppose -18*p - s = -21*p. Calculate the remainder when 74 is divided by p.
24
Suppose -2*h + 672 = 5*h. Calculate the remainder when h is divided by 25.
21
Suppose -5*w - h = -2753, 0 = -4*w - 3*h + 2*h + 2203. What is the remainder when w is divided by 24?
22
Let g be (-1 - 3/(-6))*6. Let l = 6 - g. Let m(j) = 83*j + 191. What is the remainder when m(-2) is divided by l?
7
Suppose 0 = 4*b + 4, 2*b - 2280 = 3*m - 794. Let a = -457 - m. Calculate the remainder when 151 is divided by a.
34
Let c(q) = -8*q - 4. Let f = -443 + 485. Calculate the remainder when f is divided by c(-2).
6
Let b(f) = 61*f**2 - f**3 - 21*f**2 - 13*f**2 - 27*f + 50. What is the remainder when b(26) is divided by 8?
0
Let s = 190 + -177. Let a(j) be the second derivative of -j**3/2 + j**2/2 + 10*j. Calculate the remainder when s is divided by a(-1).
1
Let v = -7799 - -8096. What is the remainder when v is divided by 23?
21
Let b(o) = -10483*o**3 - 20*o**2 + 8 + 10482*o**3 + 0 - 36*o. Calculate the remainder when 156 is divided by b(-18).
4
Let w = -2121 - -2315. What is the remainder when w is divided by 13*(0 + 1 - -2)?
38
Let p(f) = -3*f + f**2 - 19 - 35 + 10*f. What is the remainder when 27 is divided by p(-12)?
3
Suppose 36*x = 50*x - 98. What is the remainder when 0/(-1) + 2 + 3 + 20 is divided by x?
4
Let c = 40 + -51. Let r = -9 - c. Suppose 5*p - 22 = -x, -r*p + 7*p + 5*x - 30 = 0. What is the remainder when 10 is divided by p?
2
Let u = -15 + 9. Let p(c) = c**3 - 9*c**2 + 32*c + 17. Calculate the remainder when p(5) is divided by (2 - u) + 4/2.
7
Suppose -5*y = -4*s - 18170, 211*y - s + 7281 = 213*y. Calculate the remainder when y is divided by 52.
50
Let h(s) = -s**3 - 6*s**2 - 6*s + 4. Let n be (-10)/(7 + (-120)/16). Suppose 0 = -n*y + 23*y - 78. Calculate the remainder when y is divided by h(-5).
8
Let n = 13 - 11. What is the remainder when 140 is divided by 20 - ((-48)/60)/(n/(-5))?
14
Let s = -44 - -276. What is the remainder when 51/(-34)*(-2 + s/(-6)) is divided by 9?
7
Suppose 190*z = 195*z - 5*s - 80, 7*s = -3*z + 88. Let i(g) = 16*g - 5. Let p = 0 + 4. Calculate the remainder when i(p) is divided by z.
19
Let s(j) = -104*j + 1373. Calculate the remainder when s(11) is divided by 43.
14
Suppose -2*n + 18 = 4*w, -4*n - 5*w = -18 - 9. Calculate the remainder when 64 is divided by n.
1
Suppose -4*d - 2379 = 9*d. Let s = -166 - d. What is the remainder when 83 is divided by s?
15
Suppose -334 = -5*o - 2*k, 0 = -108*o + 107*o - 5*k + 76. What is the remainder when 284 is divided by o?
20
Let b be 1 - (17/(-1) - -3). Let n = -5 + b. Calculate the remainder when n is divided by (24/(-16) + 1)/(-3*(-1)/(-42)).
3
Let p = -3082 + 3116. Let q be (-2)/7 - (-185)/35. Suppose 4*o - q*z = 543, 2*o - z - 258 = -3*z. Calculate the remainder when o is divided by p.
30
Let h = 3011 - 2743. What is the remainder when h is divided by 38?
2
Suppose 2*v = 29 - 5. Calculate the remainder when 3/1*9/81*213 is divided by v.
11
Suppose -2*i = -5 - 21. Let j = -668 + 743. Calculate the remainder when j is divided by i.
10
Let n(b) = -7*b**2 + 38*b - 6. What is the remainder when n(4) is divided by 7?
6
Suppose 0 = -17*l + 11*l + 60. Let c = l - -5. Let t(q) = q**2 - 11*q + 14. What is the remainder when t(c) is divided by 19?
17
Suppose -5*j + 187 = -3*p, -12*p + 155 = 4*j - 9*p. What is the remainder when 309 is divided by j?
5
Let v = 60 + -64. Let p be (-13)/v - 12/48. Suppose -p*n - 65 = -5*i, n = -0*n. What is the remainder when 50 is divided by i?
11
Let b(r) = r**3 + 19*r**2 + 11*r - 15. Let z be b(-18). Suppose q + 28 = z. What is the remainder when q is divided by 17?
15
Let g(v) = -64*v + 6136. Calculate the remainder when 1397 is divided by g(95).
53
Let y be 2*(-2 + 1 + 23). Suppose 5*z = -y + 19. Calculate the remainder when 38 is divided by -2*(z + (-5)/2).
8
Suppose 6452*m = 6471*m - 126825. What is the remainder when m is divided by 106?
103
Suppose 10*s - 344 = 216. Suppose -4*h - 2*m = -312, 0 = 5*h - 5*m - 431 + s. Calculate the remainder when h is divided by 6.
5
Let f = 430 - 143. Suppose -4*s = 5*q - 259 - 92, 4*q - f = 3*s. Calculate the remainder when q is divided by 38.
33
Calculate the remainder when (8/(-1))/(-2) - (6 + -6490) is divided by 59.
57
Suppose -178*h + 232*h - 378 = 0. Suppose 5*v - 177 = -x + 8, 0 = -2*v + x + 67. What is the remainder when v is divided by h?
1
Suppose -3*b = -4*x + 308, 23*b - 656 = -8*x + 24*b. What is the remainder when 560 is divided by x?
62
Let a(h) = -2*h - 68. Suppose -6*d = -59 - 115. What is the remainder when d is divided by a(-42)?
13
Let g = -8 - -30. Let x = -122 - -151. What is the remainder when x is divided by g?
7
What is the remainder when 3275 is divided by 83 - 5*(-5)/25?
83
Let h = 553 - 550. Suppose 5*j = 4*k + 262, 7*k - h*k = 2*j - 100. What is the remainder when 105 is divided by j?
51
Let v(a) = a**3 - 57*a**2 + 430*a + 344. Calculate the remainder when 622 is divided by v(48).
126
Calculate the 