divided by c?
21
Suppose -319*w - 180 = -334*w. What is the remainder when 31 is divided by w?
7
Suppose -u = 3*l - 7842, 11 = -2*l + 17. Calculate the remainder when u is divided by 17.
13
Let g = -91 - -96. Let c(u) = -u**3 + 8*u**2 - 9*u - 11. What is the remainder when c(g) is divided by 3?
1
Let v(o) = 16*o**2 - 79*o + 119. Let f(p) = 3*p**2 - 16*p + 24. Let x(t) = 11*f(t) - 2*v(t). What is the remainder when x(21) is divided by 33?
23
Suppose 4*i = 34 + 70. Suppose 0 = 3*c - 73 - 86. Suppose 47 = 4*v - v + 5*h, c = 4*v - 3*h. What is the remainder when i is divided by v?
12
Suppose 3*k - 41 = -t, -5*k - 6 = -3*k. Suppose 5*m - 161 = -2*x, -28*m - 113 = -33*m + 4*x. Calculate the remainder when t is divided by m.
21
Let b = 5 + -12. Let r = 10 - b. What is the remainder when 2*(-9)/48 - (-387)/8 is divided by r?
14
Suppose 17*c + 55 = 22*c. Suppose 12*x - 8*x - 12 = 0. Suppose 114 = 2*v - x*i, v + 2*i - 66 = -i. Calculate the remainder when v is divided by c.
5
Let h be ((-1)/(1/(-8)))/(-2). Calculate the remainder when 194/((h - -2)*-1) is divided by (10 - (-10 - -16)) + 6.
7
Suppose 4014 = 4*k + 2*b, 160*k = 164*k + 5*b - 4029. Suppose 66*w - 55*w = k. Let o(h) = -h**3 - h**2 - 2. Calculate the remainder when w is divided by o(-4).
45
Let w(t) = t**3 - 80*t**2 + 155*t + 131. Calculate the remainder when 211 is divided by w(78).
52
Suppose b - 13 = 4*k + k, -2*k = 2*b - 14. Let u = -120 + -440. What is the remainder when b is divided by u/(-96) + 2/12?
2
What is the remainder when (-5 + 4)*(-177 + 43) is divided by ((-8)/3 + 2)*-9?
2
Suppose u = 2*i - 5, 0 = 2*u - 4*i - i + 6. Let o be u/39*0/(-2). Suppose -y + 11 = -o. Calculate the remainder when 42 is divided by y.
9
Let i(l) = l**3 + 14*l**2 - 37*l - 32. Let k be i(-16). Calculate the remainder when 65 is divided by 1692/k + (-5)/4 + 1.
30
Let q(l) = -l**3 - 15*l**2 - 2*l + 12. Let a be q(-16). Suppose -2*z + 14*z = a. What is the remainder when 123 is divided by z?
23
Suppose -98*m = 43*m - 3948. What is the remainder when 10527 is divided by m?
27
Suppose 0 = 5*f - 2*i - 35, f + 10 = -i - 2*i. Suppose p - 4*p = -4*k + 1636, 4*k + f*p - 1636 = 0. Calculate the remainder when k is divided by 82.
81
Let h(a) = -1. Let y(w) = -w**2 + 20*w + 5. Let u(x) = 6*h(x) + y(x). Calculate the remainder when u(16) is divided by 6.
3
Suppose 48*t - 2141 - 3955 = 0. Calculate the remainder when 2284 is divided by t.
125
Suppose 4*w = -0*w + 2*p + 42, -2*w + 3*p + 23 = 0. Suppose -w*s - 24 = -j - 14*s, -5*j = 3*s - 86. Calculate the remainder when 94 is divided by j.
14
Let g = 461 + -384. Suppose -17*b = -21*b + 1536. Calculate the remainder when b is divided by g.
76
Suppose -670 = -2*v - 4*t, -4*v + 147*t + 1319 = 152*t. Calculate the remainder when v is divided by 155.
11
Let m(t) = -5*t - 4. Suppose -7*q = 2*y - 3*q - 90, 140 = 3*y + 5*q. Suppose 0 = -y*o + 3395 + 15. Calculate the remainder when o is divided by m(-3).
7
Let s(k) = 13*k**2 - 12*k + k**3 - 13*k - 28 + 47*k. Calculate the remainder when 258 is divided by s(-10).
50
Let t = -110379 + 110382. Let s = -8 - -13. Suppose -2*l + 23 = -f, -2*l + s*f + 18 + 17 = 0. What is the remainder when l is divided by t?
1
Let q = -3576 - -4481. What is the remainder when q is divided by 153?
140
Let n = 83 - 36. Calculate the remainder when 95 + -5 + -1 + 2 is divided by n.
44
Suppose -2*m = -5*r + 345, 3*r - 2535*m + 2532*m - 216 = 0. What is the remainder when 587 is divided by r?
51
Let p(j) be the second derivative of -19*j**5/20 - j**4/6 - j**3/2 - 96*j. Calculate the remainder when p(-2) is divided by 39.
33
Let l(h) = 4*h - 130. Let k be l(29). Let v(i) = -12*i - 134. What is the remainder when v(k) is divided by 21?
13
Suppose 0 = 5*y - 333 - 107. Let c(o) = -o**3 - 6*o**2 - 12*o - 29. Calculate the remainder when y is divided by c(-6).
2
Let b = 381 + -353. Suppose -b = -30*r + 2. Calculate the remainder when 5 is divided by r.
0
Let y(i) = -i**2 - i + 30. Let v be y(-5). Suppose 31*p - v = 29*p. Calculate the remainder when 7 is divided by p.
2
Let z = 136 - -92. Suppose 2*d + 4*d = z. Calculate the remainder when 189 is divided by d.
37
Let y = 7 - 73. What is the remainder when (-103)/(-9 + 8) + 3 + 1 is divided by y*3/18*-2?
19
Suppose 11*h - 29675 = -18741. Calculate the remainder when h is divided by 90.
4
Let h(o) = 28*o**2 - 2*o + 1. What is the remainder when h(1) is divided by (-11)/55*-6*(5 + (7 - 7))?
3
Suppose 3*r - 53 = 43. Suppose 0 = 4*z + 3*n + 31, -z = 3*z + 5*n + 33. Let b(k) = 5*k**2 + 11*k - 9. Calculate the remainder when b(z) is divided by r.
31
Suppose -17*a = 19331 - 87620. Calculate the remainder when a is divided by 12.
9
Suppose -88*d + 276721 = -360522 - 67021. Calculate the remainder when d is divided by 276.
275
Let f(u) = u**3 - 17*u**2 - 153*u + 359. What is the remainder when 21263 is divided by f(23)?
11
What is the remainder when 98 is divided by 22/44 + ((-2)/(-5) - 1355/(-50))?
14
Suppose 4 = s, 21 = -r + 2*r - 3*s. Let b(g) = -3*g + 9 - 5 - 10. What is the remainder when r is divided by b(-6)?
9
Suppose -4*j + 31 = 7. Suppose n = -4*g + 1, 90 = 5*n + j*g - 3*g. Let v(u) = -25*u - 1. What is the remainder when v(-5) is divided by n?
19
Let i be ((-22)/44)/((-2)/188) - -1. Let c = 142 - i. Calculate the remainder when c is divided by 33.
28
Let y = 1207 - 852. What is the remainder when y is divided by 24?
19
Let t be (-88)/(-20) - 2/5. Let o(n) = -3*n + 17. Let d be o(0). Suppose -t*s - 9 = -f + 8, 0 = f - 5*s - d. What is the remainder when 32 is divided by f?
15
Suppose -g - 406 = -4*g + 2*r, -284 = -2*g + 4*r. Suppose -g = -3*j - 3. Calculate the remainder when j is divided by 22.
21
Let l(i) = 1. Let q(s) = -31*s + 52. Let x(b) = 6*l(b) - q(b). Calculate the remainder when x(5) is divided by 34.
7
Let d(o) = 4*o**2 + 61*o + 27. Calculate the remainder when d(-21) is divided by 64.
62
Let x = -5496 + 5553. Calculate the remainder when 439 is divided by x.
40
Let g(i) = 55*i - 7654. Let h = 34 + -7. Calculate the remainder when g(140) is divided by h.
19
Let y(u) = -1147*u - 3*u**2 - u**3 + u**3 - 1 - 3*u**3 + 1137*u. Let t = 3 - 6. What is the remainder when y(t) is divided by 14?
13
Let b be (240/(-600))/((-2)/170). Suppose -3*s + 155 = 4*a, -5*s - 5*a + 151 = -114. Let v = s - b. What is the remainder when 24 is divided by v?
1
Suppose 1056 + 569 = 325*c. What is the remainder when 73 is divided by c?
3
Suppose b + 2*j - 783 = 1515, 5*j = -5*b + 11505. Suppose 0 = 11*w - b + 302. Let f(g) = 2*g**2 + 6*g - 5. What is the remainder when w is divided by f(-6)?
27
Suppose -2*x - 1189 = -2*y + 9285, -4*x + 5252 = y. Calculate the remainder when y is divided by 2614.
12
Let m(j) = -j**2 - 11*j - 21. Let t be m(-7). Let v be t/(35/15) - -3. Calculate the remainder when 20/v + (-8)/(-12) is divided by 4.
0
Suppose -2*i = -3*b + 4 - 9, 3*b = -3*i - 15. Let c(h) = -54*h + 35. Calculate the remainder when c(i) is divided by 74.
69
Suppose -57063*w - 7485 = -57078*w. What is the remainder when w is divided by 486?
13
Suppose 3*p = 2*x + 13, -p - x - 4*x - 7 = 0. Suppose p*s = 3*s + 4*s. Suppose s = -3*k + 39. Calculate the remainder when k is divided by 7.
6
Let k = 17 + 19. Calculate the remainder when 6621 is divided by k.
33
Suppose -2*t - 4*v = -1076, 2*t - 4*v - 1554 = -t. What is the remainder when t is divided by 24?
22
Let d be (-13)/(65/3345)*(-4)/6. Suppose 22*p + 116 = d. Let r = 59 - -42. Calculate the remainder when r is divided by p.
11
Suppose 4*o - 20 = 0, -2*r - 10*o = -6*o - 26. Suppose -2*d + 2*k = -18, -5*d + r*k + 30 = k. Let h = 23 + -13. Calculate the remainder when h is divided by d.
2
Suppose 4*j = -3*p + p + 48, -24 = -2*p + 4*j. Let h = -5832 - -5974. What is the remainder when h is divided by p?
16
Suppose -2*o + 52 = 5*i + 14, -3*o - 2*i = -46. Suppose 4*l = 2*z - 2 + 56, 44 = 4*l - 4*z. Calculate the remainder when o is divided by l*(5 + 27/(-6)).
6
Let o(b) = -b**2 + 26*b - 14. Let t be o(14). Suppose -11*y + 671 = t. What is the remainder when y is divided by 28?
19
Suppose 11*q - 58 = 41. Suppose 3*l = 6, -5*a + q*l = 4*l - 420. Suppose 13 + 31 = 2*g. Calculate the remainder when a is divided by g.
20
Let s(p) = 4*p**2 + 13*p + 4. Let l be -2 - 8 - (-9)/3. What is the re