Let q(o) = 6*o**3 + 683*o**2 - 8673*o + 35145. Let g(j) = -2*j**3 - 171*j**2 + 2169*j - 8785. Let m(n) = 11*g(n) + 3*q(n). Let m(b) = 0. Calculate b.
10, 22
Factor 1266*o + 5*o**2 + 41660 - 82*o + 122145 + 263*o + 363*o.
5*(o + 181)**2
Let z(s) be the third derivative of -s**8/3360 - s**7/120 - 49*s**6/720 - 35*s**3/3 + s**2 - 10. Let l(r) be the first derivative of z(r). Factor l(w).
-w**2*(w + 7)**2/2
Let p(y) = 5 - 4 - 33 + 6*y - 34. Let x be p(11). Factor x - 4/7*c**2 + 8/7*c.
-4*c*(c - 2)/7
Solve -204*l**5 + 208*l**5 + 36*l**4 + 2437*l - 2517*l + 76*l**3 + 12*l**2 - 48 = 0 for l.
-6, -2, -1, 1
Let r = 20722453/11 + -1883807. Determine p, given that 20736/11*p**2 + r*p**3 + 6/11*p**4 + 331776/11*p + 1990656/11 = 0.
-24
Suppose -8*h + 30 = -2*h. Suppose 0*l + 20 = -h*l + 4*n, 2*l - 25 = -5*n. Factor 0*y**2 + 3/2*y**5 + 0*y**3 + l*y + 0 + 0*y**4.
3*y**5/2
Let t = 4687247/33 + -423340/3. Let m = 925 - t. Solve -8/11*d - m - 2/11*d**2 = 0.
-3, -1
Let z(t) = -t**2 + 2920*t - 11659. Let k be z(4). Factor 0 + 2/7*c**3 + 0*c**2 + 0*c + 2/7*c**k - 4/7*c**4.
2*c**3*(c - 1)**2/7
Let m(x) be the first derivative of -2*x**3/69 - 12*x**2/23 + 26*x/23 - 834. Factor m(h).
-2*(h - 1)*(h + 13)/23
Suppose -4*k = 0, 2*v - 1 = 4*v - k - 11. Let f(i) be the first derivative of 5/4*i**4 + 3*i**5 - 24 + 0*i - 5*i**2 - v*i**3 + 5/6*i**6. Factor f(g).
5*g*(g - 1)*(g + 1)**2*(g + 2)
Suppose -s + b + 7 = 0, 4*b = -6*s + s + 107. Let l(y) be the first derivative of 5*y**2 + 20 + s*y - 5/3*y**3. What is g in l(g) = 0?
-1, 3
Solve 0 - 3*c**3 - c**4 + 3/4*c + 1/4*c**2 = 0 for c.
-3, -1/2, 0, 1/2
Let h be ((-44)/(-220))/(44/80)*(3 - 2). Factor 18/11*l**2 + 10/11*l**3 + 2/11*l**4 + h + 14/11*l.
2*(l + 1)**3*(l + 2)/11
Let x(n) = -18*n**3 - 30*n**2 + 2*n - 2. Let p(y) = 366 - y**4 + 61*y**2 - 184 - 177 + 36*y**3 - 5*y. Let q(r) = 2*p(r) + 5*x(r). Factor q(l).
-2*l**2*(l + 2)*(l + 7)
Factor -84 - 542*v**2 + 172*v**2 + 80*v + 165*v**2 + 194*v**2.
-(v - 6)*(11*v - 14)
Let p(g) be the second derivative of g**4/21 - 20*g**3/7 + 162*g**2/7 - 1260*g. Solve p(s) = 0 for s.
3, 27
Factor 63 - 162/7*w + 5/7*w**2.
(w - 3)*(5*w - 147)/7
Let w(c) = 18*c + 72. Let y be w(-4). Find q, given that 0*q**3 + 6*q**3 + 36*q + y*q + 32*q**2 - 5*q**3 - 5*q**3 = 0.
-1, 0, 9
Let m(l) be the first derivative of -2*l**6/27 - 44*l**5/45 + 242*l**4/9 + 10648*l**3/27 - 29282*l**2/9 - 644204*l/9 - 37. Suppose m(s) = 0. Calculate s.
-11, 11
Suppose -550/3*l - 98/3*l**3 + 250/3 + 8/3*l**4 + 130*l**2 = 0. What is l?
1, 5/4, 5
Let v be 2/2 + -23 + 26 - (-774)/(-207). Suppose -b - 17 = -4*r - 0*b, r - 3*b + 4 = 0. Solve v*x**3 + 0 - 6/23*x**4 + 2/23*x**r - 2/23*x**2 + 0*x = 0 for x.
0, 1
Let 1587/2*n**2 - 21/2*n**3 + 342*n + 0 = 0. Calculate n.
-3/7, 0, 76
Factor -581*g + 37 + 27*g**2 + 82 - 14 + 449*g.
3*(g - 1)*(9*g - 35)
Let y(g) = -15*g**4 - 83*g**3 + 96*g**2 - 78*g + 13. Let q(p) = -7*p**4 - 40*p**3 + 48*p**2 - 36*p + 6. Let r(b) = -13*q(b) + 6*y(b). Let r(u) = 0. What is u?
-24, 0, 2
Suppose 10079 - 3356 = 2241*m. Solve -25*h**2 + 85*h - 80 + 5/4*h**m = 0.
2, 16
Let -36490*k**2 + 13292 - 50432 + 14768 + 24310*k**3 + 16287 - 5*k**5 + 24335*k - 6065*k**4 = 0. What is k?
-1217, 1
Suppose 90 = -22*s + 156. Let n(b) be the third derivative of -1/90*b**5 + 0 + 0*b - 1/360*b**6 + 1/18*b**4 + 4/9*b**s + 14*b**2. Factor n(a).
-(a - 2)*(a + 2)**2/3
Let -222/5*z - 648/5 - 206/15*z**3 - 2/15*z**4 + 358/5*z**2 = 0. What is z?
-108, -1, 3
What is n in 0*n + 1/2*n**2 - 49/2 = 0?
-7, 7
Suppose 4*w + 1948 = 1440. Let o = 127 + w. Factor 0*s + o - 2*s**2 - 2/3*s**3.
-2*s**2*(s + 3)/3
Suppose -7*n - 17*n - 825 = -825. Let q(s) be the third derivative of 1/48*s**5 + 1/48*s**4 + n - 41*s**2 - 1/3*s**3 + 1/480*s**6 + 0*s. Solve q(r) = 0.
-4, -2, 1
What is l in 0 - 2/3*l**5 - 8/3*l**4 + 0*l**2 + 0*l + 10/3*l**3 = 0?
-5, 0, 1
Let x be 12/10*10/4. Suppose -15*q**x - 94*q**2 + 180*q**2 - 88*q**2 = 0. What is q?
-2/15, 0
Suppose 2*b - 2 + 12 = 0. Let h be (-2 + 3)*2/b*-5. Find w, given that 6 + h*w - 2 + 2 - 3*w**2 - 5*w = 0.
-2, 1
Let r(y) be the first derivative of -y**7/1120 + y**6/240 + y**5/160 - y**4/16 - 28*y**3/3 + 3*y**2 - 84. Let f(j) be the third derivative of r(j). Factor f(s).
-3*(s - 2)*(s - 1)*(s + 1)/4
Let m(q) = q**2 - q. Let f(z) be the second derivative of -z**4 + 0 - 6*z - 8*z**2 - 19/3*z**3. Let a(y) = f(y) - 2*m(y). Let a(k) = 0. Calculate k.
-2, -4/7
Let v(f) be the second derivative of -f**8/504 + 2*f**7/315 - f**5/45 + f**4/36 - 27*f**2 - 23*f. Let x(l) be the first derivative of v(l). Factor x(w).
-2*w*(w - 1)**3*(w + 1)/3
Let d(t) = 4*t**4 + 14*t**3 - 10*t**2 + 2*t - 5. Let h(v) = v**4 + 2*v**3 - v**2 - 1. Let q(k) = -d(k) + 5*h(k). Solve q(c) = 0 for c.
0, 1, 2
Let a(c) be the third derivative of -186*c**2 + 1/1512*c**8 + 0*c + 0 - 1/135*c**5 - 5/108*c**4 - 2/27*c**3 + 1/135*c**6 + 4/945*c**7. Solve a(l) = 0 for l.
-2, -1, 1
Let x(j) = j**4 - j**3 + j**2 + 4*j + 1. Let p(q) = 29*q**3 - 268*q**2 + 472*q + 2269. Let c(v) = 2*p(v) - 2*x(v). Factor c(a).
-2*(a - 14)*(a - 9)**2*(a + 2)
Let p(f) be the first derivative of -f**3/12 + 7*f**2/8 + 57*f + 1822. Let p(w) = 0. What is w?
-12, 19
Let y = 370/19 - 3311/171. Let z(j) be the third derivative of -11*j**2 - 2/9*j**3 + 1/60*j**6 - y*j**5 + 0*j + 0 + 1/4*j**4. Factor z(n).
2*(n - 2)*(n - 1)*(3*n - 1)/3
Factor -25*u**3 + 225*u + 90*u**2 + 65*u**3 - 35*u**3.
5*u*(u + 3)*(u + 15)
Let s(x) = x**2 - 18*x + 9. Let h be s(7). Let c = -28 - h. Factor 25*q**4 + 81*q**2 - c - 10*q**2 + 20*q + 115*q**3 + 29*q**2 + 50*q**2.
5*(q + 1)*(q + 2)**2*(5*q - 2)
Let m(i) be the third derivative of 0*i + 0 + 1/70*i**7 - 304*i**2 + 9/4*i**4 + 0*i**3 + 3/20*i**6 - 5/4*i**5. Factor m(q).
3*q*(q - 2)*(q - 1)*(q + 9)
Suppose 3*x - 2 = -p, -26*p + 5*x = -25*p - 42. Let r be p/4*(-798)/(-2261). Suppose -3/2*u**3 + 0 + 0*u**2 + 0*u + r*u**4 = 0. What is u?
0, 1
Let j(q) be the third derivative of -49*q**6/150 - 1113*q**5/25 + 963*q**4/10 - 414*q**3/5 + 1397*q**2. Solve j(m) = 0.
-69, 3/7
Let h(z) be the first derivative of z**4/12 - 4*z**3/3 + 13*z**2/2 - 28*z/3 + 1234. Factor h(a).
(a - 7)*(a - 4)*(a - 1)/3
Let t = -106 - -151. Let -t*r**5 + 3638 - 125*r**4 - 40*r**2 + 210*r**3 - 3638 = 0. What is r?
-4, 0, 2/9, 1
Suppose 52*z + 5 = 55*z - j, -3*j + 24 = 4*z. Let g(q) be the second derivative of 0*q**z + 0 - 1/2*q**4 + 3/20*q**5 + 0*q**2 - 3*q. Factor g(x).
3*x**2*(x - 2)
Let a(r) be the second derivative of 33*r + 0*r**4 - 1/60*r**6 + 0*r**3 + 1/168*r**7 + 0*r**2 + 1/80*r**5 + 0. Determine g, given that a(g) = 0.
0, 1
Let b(i) be the second derivative of i**7/525 - i**6/75 - i**5/150 + i**4/15 - 71*i**2 + 25*i + 3. Let r(o) be the first derivative of b(o). Factor r(c).
2*c*(c - 4)*(c - 1)*(c + 1)/5
Let y(f) be the second derivative of f**5/25 + 4*f**4/5 + 64*f**3/15 - 5*f - 77. Find o, given that y(o) = 0.
-8, -4, 0
Let s(q) = 8*q**3 - 18*q**2 + 28*q - 18. Let a(x) = 0 - 1 + x**2 + 4*x + 540*x**3 - 541*x**3 - 3*x. Let n(w) = 21*a(w) + 3*s(w). Solve n(d) = 0.
1, 5
Factor 1/2 - 19/4*p + 9/4*p**2.
(p - 2)*(9*p - 1)/4
Let z(c) = 5*c**3 + 1172*c**2 - 1171*c - 3. Let s(a) = 4*a**3 + 1172*a**2 - 1172*a - 2. Let y(d) = -3*s(d) + 2*z(d). Factor y(u).
-2*u*(u - 1)*(u + 587)
Let m be (-1202)/(-8) + (-29)/116. Let z be 3/(m/(-260)) + 2*3. Suppose 0*d**2 - 2/5 + 2/5*d**4 + z*d - 4/5*d**3 = 0. What is d?
-1, 1
Let u = 37403/8 + -411321/88. What is r in -276/11*r**2 + 256/11*r + 98/11*r**4 - 64/11 - u*r**3 = 0?
-2, 4/7, 1
Let w(c) = -30*c**2 - 2177*c - 2069. Let a(n) = 5*n**2 + 363*n + 346. Let f(o) = -13*a(o) - 2*w(o). Determine u, given that f(u) = 0.
-72, -1
Suppose -3*s + 10 = 2*a, 0*a - 5*s = a - 5. Factor -5*y + 3*y - 5 - 2*y + 14*y - a*y**2.
-5*(y - 1)**2
Factor -113*f + 125*f + 28*f**4 - 31*f**4 - 9*f**3.
-3*f*(f - 1)*(f + 2)**2
Let y be ((-2)/20)/(-32 - -28). Let t(k) be the second derivative of -1/6*k**4 + k**2 + 0 + 1/12*k**3 - 8*k - y*k**5. Suppose t(i) = 0. Calculate i.
-4, -1, 1
Suppose -188 = -146*b + 258 - 8. Let s(f) be the third derivative of 0*f + 1/480*f**6 - 1/240*f**5 + 0 + 1/840*f**7 - 11*f**2 + 0*f**b - 1/96*f**4. Factor s(o).
o*(o - 1)*(o + 1)**2/4
Factor -88/5*x**2 + 18 + 189/5*x + x**3.
(x - 15)*(x - 3)*(5*x + 2)/5
Let r be 2/(-2) - (6 - 8)/2. Let z(v) be the second 