- 25 = -m, -m + 35*s + 19 = 37*s. What is the remainder when 7013 is divided by m?
20
Let t(y) be the second derivative of 19*y**4/12 - y**2 - y - 4. Let w(q) = -q**3 - 3*q**2 + 3*q + 5. What is the remainder when t(-1) is divided by w(-4)?
8
Suppose -1658 = 255*n - 257*n. Calculate the remainder when n is divided by 8.
5
Let i(f) = -2*f**3 + 108*f**2 + 321*f - 17. Calculate the remainder when i(56) is divided by 258.
255
Suppose -21 = -4*j - 2*k + k, 4*j + 4*k = 24. Let r(w) = w**3 - 5*w**2 + 8*w + 8. What is the remainder when r(6) is divided by j?
2
Let q = -4702 + 9694. What is the remainder when q is divided by 1247?
4
What is the remainder when 1007 is divided by ((-158)/474)/(1/(-1 - 71))?
23
Let s = 127 + -14. Let k(i) = -i**2 - 9*i - 3. Let b be k(-6). Let p = 44 - b. Calculate the remainder when s is divided by p.
26
Let o = -17 - -17. Suppose o*f = -f. Suppose 8*x - 3*x - 80 = f. Calculate the remainder when 43 is divided by x.
11
Let z(v) = 7*v**3 - 5*v + 3. What is the remainder when z(3) is divided by 543/12 - 31/(2108/(-51))?
39
Suppose 0*o = -2*o + v + 70, -o + 3*v = -35. Let t = o + -8. Suppose 0 = 528*s - 420*s - 756. What is the remainder when t is divided by s?
6
Suppose 0 = -4*q + 6*q - 106. Suppose -47*k = -49*k + 304. Suppose -9*a + a = -k. What is the remainder when q is divided by a?
15
Let q be (2/(-15))/1 - (-8)/60. Suppose q = -4*n + 20, 4*c - 2*c = -5*n + 259. Calculate the remainder when c is divided by 60.
57
Suppose 12*k - 2*q - 548 = 7*k, -3*q + 204 = 2*k. Calculate the remainder when 677 is divided by k.
29
Let r = 96 + 51. Let t = r - 9. Suppose -2*o = -o - 35. Calculate the remainder when t is divided by o.
33
Let u(l) = -3*l - 30. Let t be u(-11). Suppose -90 = t*f - 636. Calculate the remainder when f is divided by 27.
20
Let i(v) = v**3 + 13*v**2 + 11*v - 5. Let f = 59094 - 59047. What is the remainder when i(-8) is divided by f?
39
Suppose -348*p + 354*p = 750. Let q = 184 - p. Calculate the remainder when q is divided by 15.
14
Suppose 0 = -7*j - 2*p + 56 + 131, 20 = 2*j - 5*p. Let n = 31 + -22. Let r = 0 + n. Calculate the remainder when j is divided by r.
7
Let w(g) = g**3 + 3*g**2 - 10*g - 6. Let m be w(-5). Let z(q) = 20*q + 32. Let c be z(m). Let b = c - -92. Calculate the remainder when 8 is divided by b.
0
Suppose -2*h - k + 4 = -3*k, 5*h + 4*k = 46. Suppose -h*d + 2142 = 3*d. Calculate the remainder when d is divided by 81.
76
Let y(h) be the first derivative of h**3 + 21*h**2/2 - 2*h + 60. What is the remainder when 74 is divided by y(-8)?
8
Let v(g) = -g**2 - 261. Let i be v(0). Let b = 279 + i. Calculate the remainder when 105 is divided by b.
15
Suppose 2*y + 6 = -4*y. Let q be (y*2/(-6))/(2/30). Suppose 0 = -0*h + q*h - 100. Calculate the remainder when 47 is divided by h.
7
Let n = -170 - -170. Suppose -19*b + 3211 = -n*b. What is the remainder when b is divided by 58?
53
Suppose 768 - 167 + 4097 = 18*f. Calculate the remainder when f is divided by 118.
25
Let g be -2 + (-60*16)/(-6). Let d = -84 - -133. Let h = g + d. What is the remainder when h is divided by 11?
9
Let x = -3219 - -3720. Calculate the remainder when x is divided by 180.
141
Let s = 1877 - 1850. Let f = 460 + -29. Calculate the remainder when f is divided by s.
26
Suppose 0 = s + 50 + 825. Let n = 1299 + s. What is the remainder when n is divided by 71?
69
Let u = 2882 - 2456. What is the remainder when u is divided by 14?
6
Suppose 5*p = 5*b + 1505, -29*b - 891 = -3*p - 30*b. What is the remainder when p is divided by 10?
8
Suppose q + 46 = 2*q. Let k = 81 - q. Suppose c = -5*a + 511, 18*a - 119 = 17*a - 3*c. Calculate the remainder when a is divided by k.
31
Suppose 8*j - o - 4 = 141, j + 5*o - 13 = 0. What is the remainder when 639 is divided by j?
9
Let f be ((-4686)/(-77))/((3/(-7))/3). Let q = 571 + f. Calculate the remainder when q is divided by 50.
45
Suppose -3*b + 320 - 24 = -5*j, -188 = -2*b + j. What is the remainder when 153 is divided by b?
61
Calculate the remainder when (2 - 24/11) + 94297/209 + -4 is divided by 137.
36
Let v(k) be the second derivative of -23/6*k**3 + 2*k - 7/12*k**4 + 0 - 15/2*k**2 + 1/20*k**5. Calculate the remainder when v(10) is divided by 14.
13
Let a be (-220)/(-3)*((-1872)/(-65))/12. Suppose 12*w = 23*w - a. What is the remainder when w is divided by 9?
7
Let g(y) = -52*y**2 - 245*y - 26. Calculate the remainder when 878 is divided by g(-4).
24
Let c(g) = -4*g + 1. What is the remainder when (9/3 + 4)*((-48360)/91)/(-20) is divided by c(-2)?
6
Suppose -3*j + j - 24 = 4*l, -17 = 5*l - 4*j. Let p(b) = 12*b**2 - 10. Calculate the remainder when p(l) is divided by 49.
45
Calculate the remainder when 3/228*8 + (-10)/(950/(-18515)) is divided by 104.
91
Suppose 70*y + 444 = 2474. What is the remainder when 3303 is divided by y?
26
Let d(c) = -c**3 + 19*c**2 - 45*c - 3. Let i = -361 - -377. Calculate the remainder when 166 is divided by d(i).
31
Suppose -123 + 33 = -m. Let c = -1545 - -1469. Let b = m + c. What is the remainder when 25 is divided by b?
11
Suppose 5*l = -2*t + 16914, -6025 = -2*t - 3*l + 10901. Calculate the remainder when t is divided by 2822.
6
Let y = -2304 - -2713. Calculate the remainder when y is divided by 54.
31
Let q(z) be the first derivative of -z**3/3 - 9*z**2/2 + 10*z + 282. Let h = -14 - -6. Calculate the remainder when 34 is divided by q(h).
16
Let t(q) = -16*q**2 - 260*q + 16. What is the remainder when t(-14) is divided by 129?
4
Suppose -4*q - 28046*u + 28049*u + 78 = 0, 0 = q - 3*u - 51. Suppose -3*d + 45 = 2*d. Calculate the remainder when d is divided by q.
0
Let u be (-1 - 2)/(21 - 22). Suppose u*n - 47 + 29 = 0. Suppose -4*l = -5*g + 23 + 44, 5*g + 3*l - 46 = 0. What is the remainder when g is divided by n?
5
Suppose 11*j - 9*r + 6175 = 16*j, 8*r = 4*r. What is the remainder when j is divided by 208?
195
Suppose -703 = -5*y - 533. Calculate the remainder when y is divided by 8.
2
Let l = 83009 + -82963. Let q = -17 - -35. Calculate the remainder when l is divided by q.
10
Let l = -241 - -248. Suppose l*m - 152 = -m. Let u = 60 - -14. Calculate the remainder when u is divided by m.
17
Suppose 3*w + 29*w = -7*w + 9087. Calculate the remainder when w is divided by 123.
110
Let i be (-1)/10 - (-142)/20. Suppose i*h + 42 = 238. What is the remainder when 62 is divided by h?
6
Let v(s) = 2*s**3 - 28*s**2 + 230*s + 8. Calculate the remainder when v(7) is divided by 33.
8
Suppose -4*b - 159 = -191. Calculate the remainder when 399 is divided by b.
7
Suppose 43*q - 63*q = -8360. Calculate the remainder when q is divided by 7.
5
Suppose 0 = -68*k + 265*k + 3929 - 18507. What is the remainder when 1399 is divided by k?
67
Let u be 6/(-9)*108/8. What is the remainder when (u/6)/(5/(-210)) is divided by 14?
7
Let i(f) = 4*f**2 + 13*f + 42. Suppose 91*v - 30 = 97*v. Calculate the remainder when i(v) is divided by 26.
25
Suppose 4*x = -5*b + 325, -x + 5*b + 44 = -6. Let i = -1348 + 1388. Let k = x - i. What is the remainder when 173 is divided by k?
33
Let r = -5108 - -5128. Calculate the remainder when 937 is divided by r.
17
What is the remainder when 207 + 6*4/6 is divided by ((10176/(-20))/24)/((-7)/5 + 1)?
52
Let w = -2221 + 2262. What is the remainder when 4631 is divided by w?
39
Let t = 3208 - 3092. What is the remainder when 127 is divided by t?
11
Let l be 5/(-2)*216/(-270). Suppose -3*g = l*c - 23, -5*c = -0*g - 4*g - 46. Let z(y) = y**2 - 4*y + 5. What is the remainder when z(-4) is divided by c?
7
Suppose -5*q = 5*u - 7470, 5*u - 32*q - 7512 = -30*q. What is the remainder when u is divided by 3?
0
Suppose w + 2 = 3*x, -75*x + 74*x + 86 = 5*w. What is the remainder when 159 is divided by w?
15
Let p(u) be the third derivative of u**4/24 + 3*u**3 + u**2. Let q(l) = 964*l + 13. Let m be q(0). What is the remainder when p(m) is divided by 4?
3
Suppose 15*n = -43*n - 39*n + 426509. What is the remainder when n is divided by 40?
37
Let k be ((-72)/2)/(-3) + (-4)/2. Let r be k + -6 - ((0 - -1) + 1). Suppose 13*q = -r*q + 1560. What is the remainder when q is divided by 22?
16
Let a = 3 - -17. Let z = 289609 - 289607. Calculate the remainder when a is divided by z.
0
Suppose -4*p + 4*u = -140, 5*p + 107*u - 108*u = 183. What is the remainder when 182 is d