e remainder when 67 is divided by w.
11
Let x(l) be the first derivative of 8*l + 5/2*l**2 - 3. Calculate the remainder when x(7) is divided by 9.
7
Suppose -9 = k - 8. Calculate the remainder when (15 - 29)*((-10)/4 + k) is divided by 26.
23
Let d(x) = x**3 + 54*x**2 - 361*x + 2. Let r(l) = 7 + 0 + 3*l - 3 - l**3 + 3*l**2. What is the remainder when d(-60) is divided by r(3)?
10
Let x = -45 + 80. Let v = -19 - -4. Let g = x + v. Calculate the remainder when 37 is divided by g.
17
Suppose -41196*p = -41181*p - 465. Let w(m) = 5 - 2*m + 0*m - 2. Calculate the remainder when p is divided by w(-3).
4
Let l(b) = -b**2 + 16*b - 21. Let c be l(13). Let w = 7 + -5. Suppose 2*r - w*p = c, -4*p + 34 = 6*r - 3*r. What is the remainder when 28 is divided by r?
8
Let t = -10 + 15. What is the remainder when 46 is divided by t?
1
Let u be (-4)/10 - (-774)/10. Suppose -u = -5*g + g - p, 80 = 5*g - 2*p. Let r(n) = n**3 - 17*n**2 - 18*n + 6. What is the remainder when 16 is divided by r(g)?
4
Let c = -15 - -23. Suppose -2*d = c*d - 270. Calculate the remainder when 104 is divided by d.
23
Let v(b) = -6*b - 10. Calculate the remainder when v(-7) is divided by (4 + -8)/((-6)/30).
12
Let l(b) = -b**3 + 11*b**2 - 27*b + 127. Calculate the remainder when l(9) is divided by 10.
6
Let r(p) = 38*p**2 + p - 6. Let f(m) = -m**2 + 1. Let t(n) = 6*f(n) + r(n). Let a be (-1)/(2/(0 - -2)). What is the remainder when t(a) is divided by 11?
9
Let q(i) = -3*i**3 + 9*i**2 - 19*i + 5. Let o(d) = 2*d**3 - 4*d**2 + 10*d - 2. Let f(s) = -5*o(s) - 3*q(s). Calculate the remainder when 14 is divided by f(-8).
2
Let z = 1263 + -1251. What is the remainder when 81 is divided by z?
9
Suppose -5*m + 30 = 2*f + 15, 0 = -m - 1. Calculate the remainder when 446 is divided by f.
6
Let s be (-33)/(-12) + (5/4 - 2). Calculate the remainder when 51 is divided by s + 20/(-5) - -8.
3
Suppose -4*m + 200 = 4*j - 2*j, -3*m = -12. Let k = -78 + j. Calculate the remainder when 236 is divided by k.
12
Suppose -m = 4*w - 3*w - 11, 2*w - 20 = -m. What is the remainder when 23 is divided by w?
5
Let s(c) be the second derivative of c**3/3 - 10*c**2 + 3*c. Suppose 0 = j - 0 - 2. Calculate the remainder when j is divided by s(11).
0
Suppose -5*t + 4*t - f + 110 = 0, -3*f + 104 = t. Let d = t - 2. What is the remainder when d is divided by 38?
35
Suppose 2*p = -2*p, 5*p + 12 = 3*l. Suppose 0 = -3*u - j + 83, -4*u + 150 = u + l*j. Let f = -70 - -121. What is the remainder when f is divided by u?
25
Let l = 1473 + -691. Calculate the remainder when l is divided by 112.
110
What is the remainder when 2170/49 - ((-6)/(-21))/1 is divided by 17?
10
Suppose -2*w + 20 = -4*w. Let d(b) = 9*b + 3. Let l(o) = o**2 - o - 1. Let v(k) = d(k) + l(k). Calculate the remainder when 42 is divided by v(w).
20
Let w(o) = 52*o - 137. Calculate the remainder when 55 is divided by w(3).
17
Suppose -2*j - 5*g = -32, -3*j + 66 = 4*g - g. Let x = j - 12. Calculate the remainder when x is divided by 4.
2
Suppose 2*d = 5*k - 61 + 156, 0 = 2*k + 6. Calculate the remainder when d is divided by ((-2)/12)/(-11 - 5800/(-528)).
7
Let j be (-3 - -3)/(0 + 1). Suppose -z + 4*z + a - 28 = j, 5*z - 4*a - 75 = 0. Let x = 155 + -149. What is the remainder when z is divided by x?
5
Let c be 1/(-3) + 0 + (-30)/(-9). Suppose c*q + 3*a = 21, 2*q - 2*a = -0*q + 22. What is the remainder when 62 is divided by q?
8
Suppose y + 3*y - 20 = 0. Let v(o) = o**2 - 3*o + 10. What is the remainder when 59 is divided by v(y)?
19
Let u(p) = -10 + 3 + 3 + 94*p. What is the remainder when u(2) is divided by 31?
29
Suppose 2*f + 98 = 5*j - 8, 0 = -5*f - 15. Let r = 16 + -10. Calculate the remainder when j is divided by r.
2
Suppose c - 26 - 13 = 0. What is the remainder when 1030/(-618)*(-44 + 1/(-1)) is divided by c?
36
Let a(r) = -r**3 + 13*r**2 + 6*r - 14. Calculate the remainder when a(13) is divided by 33.
31
Let f = 113 + -35. Suppose -f = -4*y - 2*y. Suppose y = 2*l + 2*t - 3, -5*t - 51 = -2*l. What is the remainder when l is divided by 5?
3
Suppose 12644*v - 12639*v - 380 = 0. What is the remainder when 147 is divided by v?
71
Suppose -o = -8 + 2. Let p(g) = -g**2 + 11*g. What is the remainder when p(o) is divided by 11?
8
Let z be (-30)/90 + 14/(-3). Calculate the remainder when 45/(-6)*(-4)/z*-2 is divided by 7.
5
Suppose 0 = -4*u + 5*b + 124, 2*b = 2*u - 0*b - 64. Let j = -66 + u. Let f = -12 - j. Calculate the remainder when f is divided by 10.
8
Suppose 35*t - 345 = 12*t. What is the remainder when 1092 is divided by t?
12
Let f = 272 - 184. What is the remainder when f is divided by 37?
14
Suppose 0 = -5*f + 15 + 10. Suppose -3*y - 180 = -f*y. What is the remainder when y is divided by 13?
12
Suppose m - 3*z - 149 = 0, -4*m + 271 = -5*z - 339. What is the remainder when m is divided by 53?
49
Let p = -247 - -331. What is the remainder when p is divided by 5?
4
Let o(r) = -r**3 + 18*r**2 + 35*r + 22. Let t be o(20). Let y = -55 - t. What is the remainder when 45 is divided by y?
22
Let d = -94 + 146. Let b = -63 + 72. Calculate the remainder when d is divided by b.
7
Suppose u = 4*x - 28, -5*u + u = -3*x + 8. Let m(s) = 3*s - 1. What is the remainder when 68 is divided by m(x)?
22
Let s = 17 + 125. Calculate the remainder when s is divided by 6/(-9)*(15 + -51).
22
Let s = 136 + -72. Let f = 256 + -252. Suppose s + 28 = f*l. Calculate the remainder when 67 is divided by l.
21
Suppose 0 = h - 2*h + 12. Suppose 9*o - 7*o + 5*v = 112, 3*o - 2*v = 130. Calculate the remainder when o is divided by h.
10
Suppose 6 = -3*x, 6*g = 5*g + 3*x + 44. Suppose 2*p + 2*n = 6*p - 590, 0 = -3*p - n + 455. What is the remainder when p is divided by g?
36
Suppose 5*t = -f + 25, 5*f + 2*t - 51 = 74. Calculate the remainder when f is divided by 2.
1
Suppose -18 = 6*q + 96. What is the remainder when 5 is divided by 7 + -1 + (q - -16)?
2
Let l(d) = 2*d**2 - d - 2. Let c be l(2). Let i = c + 0. What is the remainder when 23 is divided by (i/4)/((-1)/(-13))?
10
Let t be 0/(15/12 - 6/(-8)). Suppose 0 = -4*r - 4, -3*r + t = 2*j - 23. Calculate the remainder when 64 is divided by j.
12
Let w = -240 - -254. What is the remainder when 81 is divided by w?
11
Suppose -f + 6 = -5. Let p be 2*(-1)/(-2) - 0. What is the remainder when f is divided by (12/(-4) - -5) + p?
2
Let j = -527 + 548. Calculate the remainder when 187 is divided by j.
19
Let x be -39 + (1 - 2) - -1. Let t = 59 + x. Calculate the remainder when 77 is divided by t.
17
Let k(w) = 15*w**2 - 2*w. Let f be k(1). What is the remainder when 22 is divided by (((-26)/4)/f)/(2/(-32))?
6
Let g be 1 + 0 - 2/((-6)/(-3)). Suppose 3*j = -5*r - g*j + 245, -4*j = -r + 72. What is the remainder when r is divided by 18?
16
Let w = 201 - 119. Calculate the remainder when w is divided by 42.
40
Let c = -17 + 21. Calculate the remainder when 4 is divided by (-55)/(-20) + 1/c.
1
Let k(d) = -d**2 - 11*d - 8. Suppose -3*v - 6 = 0, -5*u + 4*u - 9 = 2*v. Calculate the remainder when 85 is divided by k(u).
19
Suppose 0 = 36*v - 28*v - 4128. What is the remainder when v is divided by 52?
48
Let r = -358 - -504. Let a = r + -59. What is the remainder when a is divided by 15?
12
Suppose -3*z - 5 = f + 1, 2*f - z - 16 = 0. Let o = 10 + -6. Suppose -4*d - 27 = o*s - 135, 3*d = s - 7. What is the remainder when s is divided by f?
4
Suppose -2*q = 3*t - 410, -2*q + 3*t = q - 630. What is the remainder when q is divided by 66?
10
Suppose 75*z = 50*z + 125. Let q(o) = 7*o - 4. What is the remainder when q(6) is divided by z?
3
Calculate the remainder when (588/56)/(2 - (-322)/(-164)) is divided by 133.
21
Let n(l) = 9*l**3 + l**2 + 6*l - 16. Let j be n(3). Suppose 3*b + 3*q - j = -b, -180 = -3*b + 3*q. What is the remainder when b is divided by 16?
14
Suppose -139*o = -132*o - 994. Calculate the remainder when o is divided by 12.
10
Let o = 20 + -118. Let q = -53 - o. Suppose -q + 13 = -4*v. Calculate the remainder when v is divided by 3.
2
Suppose 2*l = -5*a + 22, 3*l - 4*l - 4*a + 14 = 0. Suppose 4*i + l*i = 1840. Calculate the remainder when i is divided by 31.
29
Suppose -2*j = 2*z - 102, -15*z + 13*z + 249 = 5*j. What is the remainder when j is divided by 3?
1
Suppose -35*z + 68 = -39*z. Let r = 31 + z. What is the remainder when 20 is divided by