 = x**2 - 3*x - 8. Let c be m(5). Let 2*i**c + 7*i - 3*i - i**2 - i = 0. Calculate i.
-3, 0
Let l(b) be the third derivative of 0*b + 0*b**3 + 0 + 5/48*b**4 + 12*b**2 - 1/32*b**6 + 1/48*b**5. Suppose l(w) = 0. Calculate w.
-2/3, 0, 1
Let g(h) be the third derivative of 0 + 1/360*h**5 + 0*h - 1/36*h**3 + 8*h**2 + 0*h**4. Factor g(w).
(w - 1)*(w + 1)/6
Let c(g) be the third derivative of g**5/300 - 11*g**4/120 - 22*g**2. Let c(z) = 0. What is z?
0, 11
Let g = -89/42 - -16/7. Let l(x) be the second derivative of x**2 - x - 2/3*x**3 + 0 + g*x**4. Suppose l(v) = 0. What is v?
1
Let g(j) be the third derivative of j**6/160 - 12*j**5/5 + 288*j**4 - 72*j**2 - 3. Let g(y) = 0. Calculate y.
0, 96
Let j(o) = -o**3 - o**2 + 7*o - 5. Let q be j(1). Suppose 0 = 4*x + 3*s - 0 - 4, 0 = 4*s + 16. Factor 0 + 6/5*g**3 + q*g + 3/5*g**2 + 3/5*g**x.
3*g**2*(g + 1)**2/5
Let m(c) be the second derivative of 1/20*c**5 - 2*c**2 + 0 + 1/8*c**4 - 3*c - c**3. Let r(p) be the first derivative of m(p). Factor r(s).
3*(s - 1)*(s + 2)
Let n(o) be the third derivative of o**8/1680 - o**7/175 + 11*o**6/600 - o**5/50 + 358*o**2. Factor n(d).
d**2*(d - 3)*(d - 2)*(d - 1)/5
Suppose 3*m = -0*m. Suppose m = -w - x + 6, 5*x - 1 = -2*w + 5. Factor w*d**2 - 7*d**2 - 3*d + 0*d**2.
d*(d - 3)
Let o(c) = -8*c**3 - 5*c**2 + 27*c. Let y(g) = 33*g**3 + 21*g**2 - 111*g. Let m(n) = 21*o(n) + 5*y(n). Suppose m(h) = 0. What is h?
-2, 0, 2
Factor -66 - 21*d**3 - 39*d**2 - 54*d**2 - 159*d + 339*d**2.
-3*(d - 11)*(d - 1)*(7*d + 2)
What is b in -602 - 32*b**3 + 22*b + 10*b + 126*b**2 + 2*b**4 + 474 = 0?
-1, 1, 8
Let y(d) be the third derivative of d**7/105 - d**6/12 + 7*d**5/30 - d**4/4 + 97*d**2. Factor y(n).
2*n*(n - 3)*(n - 1)**2
Let m(k) = 18*k**2 - 1776*k + 98563. Let w(t) = -44*t**2 + 4440*t - 246408. Let j(i) = -12*m(i) - 5*w(i). Factor j(o).
4*(o - 111)**2
Let w(c) be the third derivative of -c**9/30240 + c**8/1680 - c**7/280 + 29*c**5/60 + 18*c**2. Let x(k) be the third derivative of w(k). Factor x(u).
-2*u*(u - 3)**2
Let b = 67 - 66. Factor -8*o + 3*o**2 + b - 17 + 4 + o**2.
4*(o - 3)*(o + 1)
Let c(m) = 70*m**3 - 19010*m**2 + 37480*m - 18595. Let l(p) = 5*p**3 - 1358*p**2 + 2677*p - 1328. Let d(z) = 4*c(z) - 55*l(z). Factor d(a).
5*(a - 268)*(a - 1)**2
Suppose 2*b**2 - 960*b - 2*b**2 + 5*b**2 + 2959 + 43121 = 0. What is b?
96
Let y(v) = 41*v**4 + 153*v**3 + 57*v**2 - v. Let w(o) = -76*o**3 - 22*o**2 - 20*o**4 + 7*o**2 - 14*o**2. Let s(i) = 9*w(i) + 4*y(i). Factor s(q).
-q*(q + 4)*(4*q + 1)**2
Suppose 4*v - 20 = -8. Factor -16*f**v - 10*f + 65*f**2 + 4*f**4 + 41*f**4 - 78*f**3 - 26*f**3.
5*f*(f - 2)*(3*f - 1)**2
Suppose -15 = -2*l - 3*l, -3*i = -3*l - 6. Determine d, given that 6*d**3 + 4*d**3 + i*d**3 - 8*d**4 - 15*d**2 + 3*d**4 + 5*d = 0.
0, 1
Let n = 8288 + -41392/5. Find c such that 3/5*c**4 + 24/5*c**3 + 72/5*c**2 + n + 96/5*c = 0.
-2
Factor 4/7*z**2 + 0 - 4/7*z.
4*z*(z - 1)/7
Let v(a) = 10*a**2 - 5. Let j(h) = 5*h**2 - 2. Let x(k) = k**3 - 10*k**2 + 7*k + 23. Let r be x(9). Let y(f) = r*j(f) - 3*v(f). What is w in y(w) = 0?
-1, 1
Let h be (-24)/6 + (-904)/(-224). Let b(n) be the third derivative of 0 - 2*n**2 + h*n**4 - 2/21*n**3 + 0*n - 1/210*n**5. Determine t so that b(t) = 0.
1, 2
Let x = 23926997/273 - 87645. Let f = 1/91 - x. Factor 1/3 - 1/3*m**2 + 1/3*m - f*m**3.
-(m - 1)*(m + 1)**2/3
Let j(q) be the third derivative of -q**6/1440 + q**5/480 + q**4/16 + 5*q**3/6 - 22*q**2. Let x(t) be the first derivative of j(t). Let x(k) = 0. What is k?
-2, 3
Let y(g) = g**3 - 4*g**2 + 3*g - 6. Let f be y(4). Factor -f - 4*h**2 + 9*h**2 + 1.
5*(h - 1)*(h + 1)
Let t(n) be the third derivative of n**7/420 - n**5/60 - 2*n**3 + 13*n**2. Let v(b) be the first derivative of t(b). Factor v(f).
2*f*(f - 1)*(f + 1)
Let w = -725/6 - -121. Let b(t) be the third derivative of -1/15*t**6 + 7/40*t**5 - 2*t**2 - 11/48*t**4 + 0*t + w*t**3 + 1/105*t**7 + 0. Factor b(g).
(g - 2)*(g - 1)*(2*g - 1)**2/2
Let s(j) = -13*j**4 + 8*j**3 - 14*j**2 - 13*j - 6. Let v(d) = 2*d**4 - d**3 + d**2. Let q(w) = -5*s(w) - 35*v(w). Determine u, given that q(u) = 0.
-2, -1, 3
Let p(r) be the third derivative of -r**6/30 - 191*r**5/105 - 9*r**4/7 + 3*r**2 - 3*r. Factor p(d).
-4*d*(d + 27)*(7*d + 2)/7
Let b(j) be the second derivative of j**7/70 + 29*j**6/50 + 15*j**5/2 + 293*j**4/10 + 533*j**3/10 + 507*j**2/10 + 36*j. Factor b(o).
3*(o + 1)**3*(o + 13)**2/5
Let o(x) be the first derivative of -1/2*x**4 - 1/3*x**3 + 13 + 0*x + 1/2*x**2. Factor o(r).
-r*(r + 1)*(2*r - 1)
Let v be 780/450 + 4 + (-16)/3. Solve -v*b**2 - 6/5*b - 2/5*b**4 + 6/5*b**3 + 4/5 = 0.
-1, 1, 2
Let a(k) be the second derivative of -k**4/30 + 2*k**3/5 + 27*k**2/5 + 487*k. Factor a(y).
-2*(y - 9)*(y + 3)/5
Let z be (2 - (1 + 2)) + (-8)/(-2). Let x(o) be the first derivative of 0*o - z - 3/10*o**2 + 1/5*o**3. Suppose x(g) = 0. Calculate g.
0, 1
Let h = -11 - -9. Let j be ((-3)/h)/(11/22). Find k such that 27 - 36*k - 2*k**2 - 5*k**2 + 14*k**j - 2*k**3 + k**2 + 3*k**4 = 0.
-3, 1
Solve -3/4*c**2 - 1/4*c**3 + 1/2 + 1/4*c + 1/4*c**4 = 0 for c.
-1, 1, 2
Let n(s) be the first derivative of -2*s**6/3 - 4*s**5/15 + 23*s**4/3 + 100*s**3/9 - 16*s**2/3 - 16*s + 61. Let n(p) = 0. What is p?
-2, -1, 2/3, 3
Let r(s) be the second derivative of s**4/4 - 5*s**3/2 - 21*s**2 + 95*s. Factor r(w).
3*(w - 7)*(w + 2)
Let j(q) = 48*q + 1395. Let w be j(-29). Suppose 0*g**2 + 0 - 1/2*g**w + 2*g = 0. Calculate g.
-2, 0, 2
Suppose m + 2 = 4*l - 15, 6 = -3*l - 3*m. Factor 781*t + 2*t**3 + 3*t**l - 766*t + 20*t**2.
5*t*(t + 1)*(t + 3)
Let a = 175 + -175. Let g(y) be the third derivative of -1/30*y**6 + 6/25*y**5 - 9/10*y**4 + 0*y + a + 9/5*y**3 + 1/525*y**7 + 3*y**2. Factor g(j).
2*(j - 3)**3*(j - 1)/5
Let c(v) be the third derivative of -v**8/23520 - v**7/588 - v**6/40 - 7*v**5/60 - v**4/3 - 2*v**2. Let u(t) be the second derivative of c(t). Factor u(f).
-2*(f + 1)*(f + 7)**2/7
Let i be -2 + 4 + 1 + -1. Suppose i*c + 1 - 5 = 0. What is t in 6 - c*t - 3*t**2 + t + 4*t = 0?
-1, 2
Let u = -31 + 36. Suppose 6 = -3*a, 6 = -u*h + 3*a + 22. Factor -2/3*m**4 - 1/6*m + 0 + 1/6*m**3 + 2/3*m**h.
-m*(m - 1)*(m + 1)*(4*m - 1)/6
Suppose 191 - 66 = -5*t. Let n be 2/((-4)/5)*20/t. Find d, given that 0*d - 1/2*d**n - 4*d**4 + 0 - 11/4*d**3 - 7/4*d**5 = 0.
-1, -2/7, 0
Let s(b) be the third derivative of 0*b - 1/90*b**7 + 0 - 11/90*b**5 - 1/6*b**3 - 13/72*b**4 - b**2 - 1/20*b**6 - 1/1008*b**8. Factor s(k).
-(k + 1)**4*(k + 3)/3
Let x be ((-6)/8)/(9/(-288)*12). Let h(c) be the first derivative of x + 0*c + 0*c**2 + 4/3*c**3 - 3*c**4 + 8/5*c**5. Solve h(i) = 0 for i.
0, 1/2, 1
Suppose 0 = k - 4*h + h - 16, 0 = k + h. Factor 2*p - 9*p**3 - 4*p**5 - 31*p**2 - p**5 + 0*p**k + 13*p**4 + 30*p**2.
-p*(p - 1)**3*(5*p + 2)
Let o = 50 - 83. Let u = o + 35. Suppose 1/5*n**u + 0 + 1/5*n = 0. What is n?
-1, 0
Let y = 5395 + -5390. Factor 4*f**4 - 4*f + 8/3*f**3 - 4/3 + 4/3*f**y - 8/3*f**2.
4*(f - 1)*(f + 1)**4/3
Let k be ((-1)/(-6))/(-30*58/(-3915)). Factor -3/8 - 3/4*p - k*p**2.
-3*(p + 1)**2/8
Let d(c) be the second derivative of -c**7/42 + 2*c**6/15 + 31*c**5/20 - 35*c**4/6 - 42*c + 4. Factor d(y).
-y**2*(y - 7)*(y - 2)*(y + 5)
Let p(c) be the first derivative of 2*c**3/21 + 25*c**2/7 - 108*c/7 - 201. Factor p(v).
2*(v - 2)*(v + 27)/7
Let c(w) be the first derivative of -1/5*w**5 + 0*w**4 + 1/3*w**3 + 0*w**2 + 7 + 0*w. Factor c(l).
-l**2*(l - 1)*(l + 1)
Let c be 6/(-4)*(-36)/90. Let q(l) be the second derivative of -c*l**2 + 1/10*l**4 + 0 - 3/100*l**5 + 3*l + 1/10*l**3. Factor q(k).
-3*(k - 2)*(k - 1)*(k + 1)/5
Let d(i) = 8 - 25*i - 10 + 8 + i**2 + 14. Let o(y) = y**2. Let j(l) = d(l) + 4*o(l). Factor j(r).
5*(r - 4)*(r - 1)
Let t(a) be the second derivative of -a**6/1440 + 8*a**3/3 + 7*a. Let q(h) be the second derivative of t(h). Factor q(k).
-k**2/4
Let l = 412 + -412. Let y(x) be the third derivative of -1/30*x**5 + 0*x**3 + l - x**2 + 0*x + 0*x**4. Find v, given that y(v) = 0.
0
Determine p so that 6*p**2 + 0*p + 0 + 1/2*p**3 - 1/2*p**4 = 0.
-3, 0, 4
Let b(r) be the first derivative of -5/4*r**4 - 10*r - r**5 + 22 + 5*r**3 + 5/2*r**2. Solve b(p) = 0 for p.
-2, -1, 1
Let v = -9422 + 103658/11. Let -6/11*p**5 + v*p**3 + 2/11*p**4 + 0*p + 8/11*p**2 + 0 = 0. What is p?
-1, -2/3, 0, 2
Suppose -5*d = -0*d - 3040. Fact