4.
0
Suppose -29*d = -1500 - 2299. What is the remainder when d is divided by 70?
61
Let n(g) = -g**3 - 10*g**2 + 23*g + 8. Suppose -4*l - 2*m + 472 = -m, -5*l + 611 = -4*m. What is the remainder when l is divided by n(-12)?
19
Let c = 5 + -3. Suppose 3*a + 4*y + 26 = 5*a, 5*a + c*y - 5 = 0. Suppose -24 = -11*w + 20. Calculate the remainder when w is divided by a.
1
Let b(y) = y**3 + 14*y**2 + 20*y - 23. Calculate the remainder when 92 is divided by b(-12).
17
Let q(f) = 35*f - 297. Calculate the remainder when 54 is divided by q(9).
0
Let r = -4 + 13. Suppose -y = 3*x + 48 - 67, 3*x - 23 = -2*y. What is the remainder when r is divided by x?
4
Suppose -5*p + 50 = 330. Let l = -52 - p. Calculate the remainder when 25 is divided by l.
1
Suppose 7*y = 131 - 12. Calculate the remainder when 372 is divided by y.
15
Suppose 34 = 5*t + 9. Let b(v) = v**2 + 9*v. Let p be b(-9). Suppose p*z - 4*z = 2*g - 48, -3*g - 3*z + 63 = 0. What is the remainder when g is divided by t?
3
Let m = -43 - -28. Let d = m - -64. What is the remainder when d is divided by 13?
10
Suppose -323 = -3*g + m, -33 - 401 = -4*g - 2*m. Calculate the remainder when g is divided by 32.
12
Suppose -2*w = -s + 12 + 1, s - 12 = 3*w. Suppose -k + 4 = 4*x, 6*x - 2*k = x + 5. Calculate the remainder when x/(-2 - (-174)/86) is divided by s.
13
Suppose -5*f + 4*s = -397 - 277, -5*f = 2*s - 668. Calculate the remainder when f is divided by ((-42)/(-35))/((16/40)/(17 + -2)).
44
Let l(j) = -j**3 - 33*j**2 - 36*j - 123. What is the remainder when 14 is divided by l(-32)?
4
Let f be (21/(-14))/((-2)/44). Suppose 5*i + 3*m = f, 30 = 4*i - 2*m - 14. Calculate the remainder when 21 is divided by i.
3
Let a be 1*343 + 6 + -9. What is the remainder when a/30 - (-2)/(-6) is divided by 2?
1
Calculate the remainder when 2 - -193 - 0*(-5 + 4) is divided by 6.
3
Let a be 1/4 - (-7)/4. Suppose a*v - 23 = -2*p - 3*p, 0 = 2*p + 4*v - 6. Let d(g) = g**2 - 3*g - 3. What is the remainder when d(5) is divided by p?
2
Suppose 8*o + 5*o = 39. Suppose -2*m + 2*z + 32 = -2*z, o*m - 48 = -z. Let s(k) = -4*k + 1. Calculate the remainder when m is divided by s(-2).
7
Suppose 2*h + 0 = -2. Let z be 98 + h/(-3)*0. Let n = -69 + z. What is the remainder when 55 is divided by n?
26
Suppose -5*j + 2 + 3 = 0. Let s be j/3 - 20/6. What is the remainder when 61 is divided by s/6 - 33/(-2)?
13
Suppose 10 = 2*f - 2*d - 0, 0 = -4*f + 3*d + 23. Suppose -t = -f*t + 63. Calculate the remainder when 42 is divided by t.
6
Let x(s) = 76*s**3 + s**2 - 2*s + 1. What is the remainder when x(1) is divided by (1/3)/(7/84) - (-34 - -27)?
10
Let m = -267 - -447. Suppose -2*y = 2*y - 4*h - 148, m = 4*y + 4*h. What is the remainder when 122 is divided by y?
40
Suppose -2*r - 120 = -7*r. Let f be (r/10)/((-4)/20). Calculate the remainder when (-12)/4 + 2 - f is divided by 3.
2
Suppose -3*b + 13 = -4*j, 3*b - 2 - 9 = 2*j. Let r = 5 + 4. What is the remainder when r is divided by b?
0
Let f = -617 - -705. Calculate the remainder when f is divided by 63.
25
Let d(t) = -7*t - 3. Calculate the remainder when (-23200)/(-203) + (8/(-7))/4 is divided by d(-6).
36
Let h = 236 + -218. Calculate the remainder when 3/((-97)/50 + 2) is divided by h.
14
Let y = 8 + 10. Suppose 3*k - 33 = -r, -5*r - k = -y - 161. Suppose -s + r = 3*s. What is the remainder when 35 is divided by s?
8
Suppose -204*h - 288 = -207*h. Calculate the remainder when 266 is divided by h.
74
Suppose 0 = -3*p + 9, -2*l = 4*p - 55 - 73. What is the remainder when l is divided by 41?
17
Let w(t) = -34*t - 5. Let y(b) = -b**3 - 9*b**2 + 2*b + 16. Let n be y(-9). What is the remainder when w(n) is divided by 13?
11
Suppose 3*b + 4 = 7*b. Let w(s) = -2*s**2 + 15*s + 6. Let o be w(7). Calculate the remainder when (0 + b)*(o - 0) is divided by 7.
6
Let h(y) = y**3 - 4*y**2 + 3*y - 32. Calculate the remainder when 405 is divided by h(6).
57
Let p(j) = -7*j - 54. Let o(m) = 13*m + 108. Let b(l) = 3*o(l) + 7*p(l). Calculate the remainder when b(-6) is divided by 2.
0
Suppose -5*f + 4*f + 17 = 0. Suppose -5*h + l + f = 0, 14 = 5*h - 4*l - 9. Suppose h*i - 30 - 81 = 0. Calculate the remainder when i is divided by 20.
17
Suppose 4*i + 2*z = -z + 145, 4*i - 3*z - 127 = 0. Calculate the remainder when 93 is divided by i.
25
Let z = 28 + -10. Calculate the remainder when (-2)/(-10) - 24864/(-480) is divided by z.
16
Let s = -5024 + 9368. Calculate the remainder when s is divided by 79.
78
Let i be (4/(-3))/((-3)/(-126)). Let v = i - -71. Calculate the remainder when (-27 + -2)*(-1 + 0) is divided by v.
14
Suppose 4*i = 2*d + 6, d + 2 = i - 0. What is the remainder when (1 - d)*-1*-23 is divided by 16?
14
Let o be (-1)/3*-9 - -3. Suppose -36 + 6 = -o*q. What is the remainder when 16 is divided by q?
1
Suppose 18*t - 22*t + 12 = 0. Suppose -w = t*w - 8, -4*f + 440 = 2*w. What is the remainder when f is divided by 11?
10
Let j be ((-1)/(-2))/(10/(-60)). Let o be -4*(-1 - (3 + j)). Suppose 0 = 3*m - 5 - o. What is the remainder when 11 is divided by m?
2
Let w = 83 + 11. Suppose 4*u - 16 = 0, 3*a - 64 = 3*u - 4. What is the remainder when w is divided by a?
22
Let d = -226 + 365. What is the remainder when d is divided by 10?
9
Let h(u) = u**3 + 5*u**2 - 3*u - 15. Let a be h(-7). Let q = a - -113. Calculate the remainder when 104 is divided by q.
20
Let u(f) = -f**2 - 8*f - 3. Let j be u(-6). What is the remainder when ((-18)/15)/(j/(-30)) is divided by (-30)/(-5) + (-4)/1?
0
What is the remainder when 85 is divided by (3 + -2)*-3*44/(-6)?
19
Suppose 3*u + 3 - 4 = i, u = 5. Calculate the remainder when 388 is divided by i.
10
Let x = -2114 + 2121. What is the remainder when 33 is divided by x?
5
Suppose o - 20 = -4*o. Suppose 3*b = -x + 10, -3*x + o*b + 42 = -27. Calculate the remainder when x is divided by 11.
8
Let u be (-12)/(-18)*(13/(-2) + -1). What is the remainder when 3 + u + 4 + 27 is divided by 16?
13
Let v be -3 + (7 + 3 - 0). Let w(h) = 2*h**2 - 5*h + 9. What is the remainder when w(v) is divided by 25?
22
Let i(s) = 3*s**2 + s - 1. Suppose -4*y + 3*y + 8 = 4*c, 8 = 4*c - 3*y. Suppose -5*u - c = -562. Calculate the remainder when u is divided by i(-3).
20
Let f = 5 - 3. Suppose f*r - 13 = r. Let v(y) = y. What is the remainder when r is divided by v(4)?
1
Let f(q) = q**3 + 8*q**2 + 7. Let h = 31 + -6. Calculate the remainder when h is divided by f(-8).
4
Let s(p) = -5*p**3 - 6*p**2 - 4*p + 1. Calculate the remainder when s(-3) is divided by 32.
30
Suppose -2*r - 3*k = -120, -3*k + 170 = 5*r - 112. What is the remainder when 750 is divided by r?
48
Suppose -50*w = -49*w - 8. What is the remainder when 158 is divided by w?
6
Let q = 603 + -291. Calculate the remainder when q is divided by 63.
60
Suppose 11*t - 4 = 12*t, n = 5*t + 66. Calculate the remainder when n is divided by 5.
1
Let t = -6 - -47. Calculate the remainder when 151 is divided by t.
28
Suppose -3*z = -3, 2*z = -4*i - 28 - 10. Let k be 556/10 + 6/i. Suppose -v = 4*p - k, -v + 65 = 4*p - 2*p. What is the remainder when v is divided by 13?
10
What is the remainder when 196 is divided by (104/(-18))/((-33)/297)?
40
Let r(b) = 43*b**2 + 1. Let w be r(-1). Let m = -27 + w. Calculate the remainder when 65 is divided by m.
14
Calculate the remainder when 109 is divided by ((-264)/(-77))/(3/28).
13
Let x be 2/(-3) - (106/(-6) + -3). Suppose 4*i - 39 = 3*y, -y - x = -2*i + y. Calculate the remainder when i is divided by 1/(4/(-6) + 1).
0
Suppose -73 = -2*c - v + 4, -v + 40 = c. Suppose 5*z = 4*r + c, 44 = 4*z - 2*r + 12. Calculate the remainder when (-103)/(-3) + (-4)/(-6) is divided by z.
8
Let q be 2/(-10) - (-123)/15. Suppose b = -2*y + 6, -4*b - b + y + q = 0. Calculate the remainder when 97 is divided by b/10 + (-1488)/(-60).
22
Suppose 517 + 379 = 14*h. Calculate the remainder when 127 is divided by h.
63
Suppose s = -13*s + 238. What is the remainder when 43 is divided by s?
9
Let m be 14/(-4)*(-18)/21. Suppose 3*l - 13 = -3*o - 1, m = -3*l. Let s = 8 + -6. What is the remainder when o is divided by s?
1
Suppose 336 = -8*j + 944. Calculate the remainder when 302 is divided by j.
74
Let x = 349 - -936. Let l = 16 - -14. What is the remainder when x/11 - (-8)/44 is divided by l?
27
Suppose -y + o - 21 + 122 = 0, 203 = 2*y - o. Ca