mainder when (969/95)/(n/5) is divided by (1 - (-1 + 2)) + 14.
9
Let r be (-1370)/(-7)*1 + (-44)/(-154). Suppose 7*w = 21*w - r. Calculate the remainder when 93 is divided by w.
9
Let x(q) be the second derivative of 0*q**3 + 2/3*q**4 - q**2 - 10*q + 0. Calculate the remainder when 55 is divided by x(-2).
25
Suppose -12*w = -94*w - 13*w + 37905. What is the remainder when w is divided by 236?
163
Suppose 465*c + 609*c = 401*c + 1979966. What is the remainder when c is divided by 1449?
44
Suppose -4*c - 3*y = -327, c - 5*y = 24 + 75. Let n = 86 - c. Let v(q) = 6*q**2 - 2*q - 2. Calculate the remainder when 70 is divided by v(n).
16
Let o be 20/(-8) + 2 + (-66)/(-12). Suppose 17*z - 22*z = -o*b + 55, 0 = 5*z - 10. Calculate the remainder when 51 is divided by b.
12
Suppose 0 = -4*p - 4*b + 2060, -2*p - 4*b + 252 = -762. What is the remainder when p is divided by 253?
17
Let v(t) = -7*t**2 - 5*t - 31. Let o be v(-4). Let r = -111 - o. What is the remainder when (140/(-8))/((-2)/4) is divided by r?
11
Let m(v) = 6*v**3 + 3*v**2 - 12*v - 9. Let p be m(-4). Let y = -279 - p. What is the remainder when 178 is divided by y?
16
Let f be (-1)/(3*1/(-6)). What is the remainder when 8 - 5 - f*-19 is divided by (-16 + -12)*(-1)/2?
13
Let z(i) = -2*i**3 - 192*i**2 - 191*i + 340. What is the remainder when z(-95) is divided by 158?
119
Let i(n) = n**2 + 3*n + 7. Let s be i(-7). Calculate the remainder when 307 is divided by 25 + ((-12)/(-10))/((-14)/s).
21
Let u = -94 - -159. Suppose 0 = -56*g + 49*g + 98. Calculate the remainder when u is divided by g.
9
Suppose -2664 + 30339 = 45*f. What is the remainder when f is divided by 80?
55
Suppose -16 + 6 = -5*x + 20. Let i(g) = -g**3 - 7*g**2 + 7*g - 5. Calculate the remainder when x is divided by i(-8).
0
Calculate the remainder when (-7 - 88/(2 + -10)) + 440 is divided by 16.
12
Suppose 0 = 191*z - 184*z - 189. Suppose 0 = -36*u + z*u + 351. What is the remainder when u is divided by 7?
4
Let t = -261 - -985. What is the remainder when 93 is divided by 2/(-15) + t/30?
21
Let d = 458 - 438. Let g(y) = 3*y - 26. Calculate the remainder when g(17) is divided by d.
5
What is the remainder when (-105 - -94) + (691 - -1) is divided by 166?
17
Let q(z) = -19 + 2*z + 60 - 11*z. Calculate the remainder when q(0) is divided by 7.
6
Let r(d) = -d**2 + 102*d - 1277. Calculate the remainder when r(22) is divided by 53.
6
Suppose -6 = -5*x + 3*x, -g + 3*x = 30. Let m be 5 + -1 - (-25 - g). What is the remainder when 122 is divided by (m/(-12))/(10/(-375))?
22
Suppose 48 + 72 = 4*v. Calculate the remainder when -140*(-14)/175*5 is divided by v.
26
Let c(t) = t**2 - 4*t + 6. Let d be c(5). Suppose -42 = -14*u + d*u. Suppose 9*n = 7*n + u. Calculate the remainder when 19 is divided by n.
5
Let g(p) = p**3 + 7*p**2 + 9*p + 5. Let b = -50 - 21. Let h = 67 + b. What is the remainder when g(h) is divided by 10?
7
Let o = -14240 - -14257. Suppose 3*h = 5*w + 7*h - 105, -5*h - 75 = -2*w. Calculate the remainder when w is divided by o.
8
Let x = 4938 - 4911. Calculate the remainder when 48 is divided by x.
21
Let n be 30 + 6 + -8*(-1)/(-2). Suppose 0 = n*z - 4*z - 840. Calculate the remainder when 57 is divided by z.
27
Let p be ((-40)/100)/(1 - 378/380). Suppose 2*x + 7 = -51. Let s = x - p. What is the remainder when 234 is divided by s?
46
Suppose 50*o - 370777 - 257723 = 0. What is the remainder when o is divided by 99?
96
Let q = 1 + 2. Let h be (9 + 19)/(-7) + 67. Suppose 0 = -4*k + 5*y + h, -q*k + 76 = -3*y + 5*y. What is the remainder when 23 is divided by k?
1
Suppose -3*x + w + 63 = -0*x, -w - 105 = -5*x. Suppose 4*y + 5*j - 392 = 6*j, -5*j = -3*y + 294. Let h = -92 + y. What is the remainder when x is divided by h?
3
Suppose -56 = 21*v - 28*v. Suppose 0 = -2*a - 16 + 68. Suppose 34 + a = 4*o. What is the remainder when o is divided by v?
7
Let w = 608 - 571. What is the remainder when w is divided by -2 + 0 - -1*12?
7
Suppose 376 = -106*z + 110*z - 3*h, z - 108 = -h. What is the remainder when 390 is divided by z?
90
Let a(x) = 2*x**2 - 14*x + 48. Let v be a(19). Let m = v + -353. Calculate the remainder when m is divided by 77.
74
Suppose -5*p = 2*m - 2193, m = -5*p - 555 + 1659. Suppose -33*j + 21*j = -144. What is the remainder when m is divided by j?
9
Let n = -393 - -447. Suppose 3*c - n = 2*s, 26 = 5*c + 5*s - 89. What is the remainder when 295 is divided by c?
15
Let t(s) = -6049*s + 54468. Calculate the remainder when 22/3*15/2 is divided by t(9).
1
Suppose 6*v = 11*v + q + 1118, 0 = 5*v - 2*q + 1124. Let a = -169 - v. What is the remainder when a is divided by 23?
9
Let p(h) = 2*h**2 + 1. Let l(y) = -y**3 - 21*y**2 - 22*y - 34. Let d be l(-20). Suppose -342 + 414 = d*a. What is the remainder when p(-4) is divided by a?
9
Let m = 24604 + -24454. Calculate the remainder when m is divided by 62.
26
Let g(q) = -5*q + 43. Let u be g(8). Suppose -5*f + 118 = 3*w, 0 = -u*f + f + 10. What is the remainder when w is divided by 30?
1
Let f be ((-20)/(-6))/(1 - 17/51). Suppose -10*q + 84 = -6*q - 2*p, 3*q = -f*p + 50. What is the remainder when 34 is divided by q?
14
Suppose 33038 + 2170 = 27*f. Suppose 17*m - 2147 - f = 0. What is the remainder when m is divided by 68?
67
Let l(v) = 697*v + 2832. Let d be l(-4). Let r = 7 - -2. Let x = d + r. Calculate the remainder when x is divided by 20.
13
Let d = -56 + 160. Let c(u) = -u**3 - 32*u**2 + 103*u - 38. Calculate the remainder when d is divided by c(-35).
8
Suppose -14556 - 111405 = -121*o. Calculate the remainder when o is divided by 78.
27
Let l(p) = 12*p**2 + p + 1. Let o be 0 + -1*(-1 + 2). Calculate the remainder when ((-30)/(-2) - -1) + (-21 - -26) + -1 is divided by l(o).
8
Let o = 5 + -22. Let v = -14 - o. Suppose y = 3*q - v*y - 59, -5*q + 2*y = -117. What is the remainder when 123 is divided by q?
23
Let b be 6 + -2 - -2 - 1. Suppose -b*l + 130 = 5*v, 5*v - 6*l - 95 = -4*l. Calculate the remainder when v is divided by 12.
9
Let m = 453 + -345. Let g = -84 + m. Calculate the remainder when 478 is divided by g.
22
Let p(a) = -a**3 + 14*a**2 - 9*a - 7. Let u be p(7). Suppose -7*r = 14 - u. Let b = -14 + r. What is the remainder when 89 is divided by b?
20
Suppose -5*u + 220 = 5*w, 50*w + 5*u = 54*w - 140. Calculate the remainder when 149 is divided by w.
29
Let x(i) = -17*i**3 - 2*i - 2. Let p be x(-1). Let q = 478 - p. What is the remainder when q is divided by 11?
10
Let o(w) be the third derivative of w**6/12 + w**5/15 + w**4/6 - 4*w**3/3 + 2*w**2 + 121*w. Let r = -10 - -39. What is the remainder when r is divided by o(1)?
9
Suppose -3*w = 3*a - 15, 9*a + 5*w = 12*a + 25. Suppose a = -32*l - 6*l + 6194. Calculate the remainder when l is divided by 24.
19
Let r be 2/(-5) - ((-16)/(-10) - 4). Suppose -t + 4 = -r*v + 3*t, -28 = -4*v - 4*t. Suppose -v*q + 152 = -256. Calculate the remainder when q is divided by 22.
14
Let s(v) be the first derivative of -v**4/4 + 7*v**3/3 - 3*v**2/2 + 12*v - 1. Suppose -22 = 15*r - 97. What is the remainder when s(r) is divided by 25?
22
Suppose -69*j - 25*j + 4980 = -2822. Calculate the remainder when 4480 is divided by j.
81
Suppose 5*t + 3*f - 249 - 4703 = 0, 5*t + 8*f = 4972. Calculate the remainder when t is divided by 28.
8
Suppose 15*f - 57*f + 588 = 0. Let t(y) = y**3 - 15*y**2 + 18*y + 42. Suppose -3*a + 5*a = 50. Calculate the remainder when t(f) is divided by a.
23
Let v(d) = d**2 + 17*d - 7. Let y be v(-13). Let c = 27 + y. What is the remainder when (-8)/c + (-155)/(-4) is divided by 20?
19
Suppose 2 = 3*h - 13. Suppose 6*g + h = 35. Calculate the remainder when g/3*(7 - 4) is divided by 3.
2
Suppose -109*a + 87*a + 990 = 0. Let f(t) be the first derivative of t**4/4 - 2*t**3/3 - t**2 + 4*t - 10. What is the remainder when a is divided by f(3)?
3
Let b = -401557 + 401605. Let y = 94 + 91. Calculate the remainder when y is divided by b.
41
Let v = 131 + -126. Let u(x) = 0*x**2 + 7 + 3*x + x**2 + 3. What is the remainder when u(v) is divided by 13?
11
Suppose 566 + 1000 = 2*k. Let m = k - 546. Suppose 0 = -7*g + 176 + m. Calculate the remainder when g is divided by 10.
9
Let f(h) = -203*h + 1663. Calculate the remainder when 3428 is divided by f(8).
35
Let c(o) = -6*o**3 - o**2 + 1. Let j be c(1). Suppose -t - 10 = -39. 