-30*l + 205 - 115 = 0. Solve 8/5*q + 0*q**2 + 0 - 2/5*q**l = 0.
-2, 0, 2
Let m be 9 - 514/55 - 12/(-22). Factor 36/5 + 12/5*t + m*t**2.
(t + 6)**2/5
Factor 5/2 - 35/4*g**2 - 25/4*g.
-5*(g + 1)*(7*g - 2)/4
Let u(n) be the second derivative of -n**6/75 + 4*n**5/25 + 19*n**4/30 - 98*n**3/15 + 72*n**2/5 - 10*n. Find w such that u(w) = 0.
-4, 1, 2, 9
Let i(v) = v**4 + v**3 + v + 1. Let q(l) = 14*l**4 - l**3 - 36*l**2 - 13*l + 8. Let t(g) = 2*i(g) - q(g). Solve t(p) = 0.
-1, 1/4, 2
Let d = -134/3 - -682/15. Let p be (1 + 3)*(120/(-32) - -5). Find f, given that -f**3 - 1/5*f**p - 2/5*f**2 - d*f**4 + 0 + 0*f = 0.
-2, -1, 0
Let c(k) be the third derivative of k**7/1680 + 11*k**6/240 - 91*k**5/480 + 23*k**4/96 + 47*k**2 - 4. Factor c(r).
r*(r - 1)**2*(r + 46)/8
Let o(m) be the first derivative of m**4/22 + 410*m**3/11 + 126075*m**2/11 + 17230250*m/11 - 669. Factor o(d).
2*(d + 205)**3/11
Solve -90*i + 3*i**2 + 33 + i**3 + i**3 + 13 + 39*i**2 = 0.
-23, 1
Let l(i) = 2*i**2 - 3*i - 1. Let h(k) = k**2 + k - 1. Let m(j) = h(j) - l(j). Let v be m(3). Factor 4*c**v - 2*c**3 + 12*c**2 + 2*c**3 + 8*c**3 + 3*c.
3*c*(2*c + 1)**2
Let q(u) be the first derivative of 2*u**5/15 + 29*u**4/6 - 20*u**3/3 + 908. Suppose q(b) = 0. Calculate b.
-30, 0, 1
Let p(q) be the third derivative of -q**6/960 + 57*q**5/160 - 3249*q**4/64 + 61731*q**3/16 + 4*q**2 + 22*q. Factor p(t).
-(t - 57)**3/8
Let z(j) be the third derivative of -j**7/840 - j**6/240 + j**4/2 - j**2. Let n(d) be the second derivative of z(d). Factor n(l).
-3*l*(l + 1)
Let u(v) = 10*v**2 - 520*v + 492. Let m(x) = 5*x**2 - 260*x + 247. Let j(l) = 9*m(l) - 4*u(l). Find z, given that j(z) = 0.
1, 51
Let j = -1/559 - -1133/8385. Factor 2/15*s + 8/15 - 8/15*s**2 - j*s**3.
-2*(s - 1)*(s + 1)*(s + 4)/15
Let b(c) = -c**3 - 6*c**2 - 11*c - 3. Let a be b(-2). Let q(u) be the second derivative of -5/6*u**4 + 12*u + 0 + 0*u**2 - 5/6*u**a - 1/4*u**5. Factor q(z).
-5*z*(z + 1)**2
Let b(z) be the third derivative of z**5/40 - 11*z**4/8 + 21*z**3/4 - 310*z**2. Solve b(n) = 0 for n.
1, 21
Suppose 4*p + 2*v + 10 = 0, p - 5*v = 7 + 7. Let o be (21/21)/((2/p)/(-6)). Factor 0 + 2/3*c**o + 2/3*c + 4/3*c**2.
2*c*(c + 1)**2/3
Factor 844/11*v + 2/11*v**2 + 89042/11.
2*(v + 211)**2/11
Let s(z) be the second derivative of -7*z**6/4140 - z**5/690 + 11*z**3/3 - 20*z. Let c(f) be the second derivative of s(f). Determine j so that c(j) = 0.
-2/7, 0
Let u = -10 - -18. Suppose -h = -2*v - 11, -u*h = -4*h - 3*v - 24. Let 1 - l**3 + 3*l**2 - l + 0*l - h*l + l = 0. Calculate l.
1
Let g(p) be the second derivative of -p**6/120 - p**5/20 + 3*p**4/8 - p**3/3 + 6*p. Let x(v) be the second derivative of g(v). Let x(t) = 0. Calculate t.
-3, 1
Let q = 54 - 48. Factor h - 3*h + 2*h**2 + 4 - 2 + q*h.
2*(h + 1)**2
Let n(s) be the third derivative of 1/630*s**7 - 1/24*s**4 - 1/36*s**5 + 0*s**3 + 0*s + 5*s**2 + 0 - 1/360*s**6. Let n(v) = 0. Calculate v.
-1, 0, 3
Let a(l) be the first derivative of -5*l**3/9 + 145*l**2/6 - 140*l/3 - 76. Factor a(n).
-5*(n - 28)*(n - 1)/3
Let i(w) be the third derivative of 0*w**4 + 0 + 0*w**3 + 0*w + 1/540*w**6 - 39*w**2 + 4/945*w**7 + 1/1512*w**8 - 1/45*w**5. Find h such that i(h) = 0.
-3, -2, 0, 1
Factor -9/2*h**3 - 3/4*h**5 + 3*h**2 + 6*h - 15/4*h**4 + 0.
-3*h*(h - 1)*(h + 2)**3/4
Let y be (-48)/7 + (-6)/(-7) - 98/(-16). Let a = 1 - -3. Suppose -y*j**a + 1/4*j**3 - 1/8*j**5 + 1/4*j**2 - 1/8*j - 1/8 = 0. Calculate j.
-1, 1
Let a(o) be the second derivative of o**6/45 + o**5/15 - o**4/6 - 9*o - 11. Determine k so that a(k) = 0.
-3, 0, 1
Let b(n) be the second derivative of 1/2*n**2 + 1/12*n**4 - 1/3*n**3 + 5*n + 0. Suppose b(p) = 0. What is p?
1
Solve 2249 - 4*h**2 - 23565 - 145*h - 439*h = 0 for h.
-73
Let w(d) be the second derivative of -1/4*d**5 + 0*d**3 + 0 + 0*d**2 + 1/3*d**6 - 5/6*d**4 + 5/42*d**7 + 25*d. Factor w(u).
5*u**2*(u - 1)*(u + 1)*(u + 2)
Let w = -15155 - -15158. Suppose 36/7 + 6*k + 16/7*k**2 + 2/7*k**w = 0. What is k?
-3, -2
Let q = -7374 + 7374. Factor 4/3 + 2/3*l**3 - 2*l + q*l**2.
2*(l - 1)**2*(l + 2)/3
Let y(d) be the third derivative of 12*d**2 - 3/20*d**5 + 0*d**3 + 1/8*d**4 + 1/20*d**6 + 0*d + 0. Let y(b) = 0. What is b?
0, 1/2, 1
Let n(a) be the third derivative of -9/8*a**4 + 1/10*a**6 + 0*a + 3/20*a**5 + 0 + a**3 + a**2. What is x in n(x) = 0?
-2, 1/4, 1
Let l(g) = -g**3 - g**2 + g. Let d(w) = w**2 - w - 4. Let u be d(-2). Let q(c) = -c**3 + 0*c + u + 5*c**3 - 4*c + 0. Let t(f) = 2*l(f) + q(f). Factor t(y).
2*(y - 1)**2*(y + 1)
Let a(n) be the first derivative of n**5/15 - n**4 + 6*n**3 + n**2 + 4. Let v(m) be the second derivative of a(m). Factor v(l).
4*(l - 3)**2
Factor 939132 - 1134000*b + 15639*b**2 + 140868 + 9284*b**2 + b**4 + 29977*b**2 + 4*b**4 - 905*b**3.
5*(b - 60)**3*(b - 1)
Suppose -40 = 2*t + 3*t. Let n be ((-5)/(-2))/(t/(-16)). Factor 4*r**4 + 2*r**3 - 2*r**2 + 0*r**3 - 2*r**4 - 2*r**n.
-2*r**2*(r - 1)**2*(r + 1)
Factor 8/7*u**2 - 2/7*u + 0.
2*u*(4*u - 1)/7
Let z(q) = -42*q + 39*q + 2 - 3. Let f be z(-2). Factor -63*d**f - 4*d - 20*d**2 + 70*d**4 + d**3 + 2*d**3 + 14*d**5.
-d*(d - 1)**2*(7*d + 2)**2
Factor 1/11*b**4 + 0*b**3 - 4/11*b**2 + 0*b + 0.
b**2*(b - 2)*(b + 2)/11
Determine b, given that -19/3*b**2 + 1/9*b**3 + 841/9 + 87*b = 0.
-1, 29
Let a(l) be the third derivative of -l**6/60 - l**5/15 + 7*l**4/4 - 6*l**3 - 939*l**2. Factor a(g).
-2*(g - 3)*(g - 1)*(g + 6)
Let j(x) = 4*x**4 - 14*x**3 + 8*x + 8. Let h(l) = -9*l**4 + 29*l**3 - l**2 - 16*l - 16. Let b(z) = 6*h(z) + 13*j(z). Factor b(g).
-2*(g - 1)*(g + 1)*(g + 2)**2
Let f = -2903/3 + 968. Factor 0*q**2 - 2/3*q**3 + 0*q**4 + 0 + f*q**5 + 1/3*q.
q*(q - 1)**2*(q + 1)**2/3
Suppose -5*a - 5 = -30, 4*u - 2*a = 14. Let d(p) = p**2 - 5*p + 1. Let x be d(5). Determine b, given that -1 + u*b**2 + x - 15*b**4 - 9*b**3 + 0 = 0.
-1, 0, 2/5
Let k = 5551/2 - 2774. Factor -3/2*r + k*r**2 + 1/2 - 1/2*r**3.
-(r - 1)**3/2
Factor 24 + 42*a**2 + 16*a**3 + 0*a**4 + 2*a**4 + 56*a + 4*a**2.
2*(a + 1)*(a + 2)**2*(a + 3)
Let q(g) = -5*g**2 - 13*g - 8. Let x(o) = 2*o**2 + 6*o + 4. Let k = -127 + 118. Let j(t) = k*x(t) - 4*q(t). Factor j(r).
2*(r - 2)*(r + 1)
Let v be 7/((-21)/(-13822))*(-5)/(-30). Let x = v - 767. Suppose 0 - 2/9*s**5 - 8/9*s**4 - x*s**2 - 2/9*s - 4/3*s**3 = 0. What is s?
-1, 0
Let r(a) = 7*a - 44. Let m be r(7). Factor 2*p**4 - 2*p**2 - 344*p**5 - 6*p**3 - 8*p**4 + 342*p**m.
-2*p**2*(p + 1)**3
Let q(y) = y + 11. Let r be q(-9). Suppose -t = r - 4. Factor 1 + 2*g + t + g + g**2 - 1.
(g + 1)*(g + 2)
Suppose 0 = -4*o - z - 572, -3*o = -2*o + z + 140. Let l = o + 295/2. Factor -11/4*p + 7/4*p**5 - 4*p**4 + 1/2 + p**3 + l*p**2.
(p - 1)**3*(p + 1)*(7*p - 2)/4
Let u(j) = -j**2 + 1. Let k(r) = 39 - 4*r + 18*r**2 - r - 75 + 23*r. Let i(p) = -k(p) - 15*u(p). Let i(y) = 0. What is y?
-7, 1
Let g(i) be the third derivative of i**6/40 + i**5/10 - 3*i**4/8 - 58*i**2. Factor g(c).
3*c*(c - 1)*(c + 3)
Suppose -h = 4*h + 40. Let u be 1/(-8)*h + (-2)/8. Factor -3/4*l**4 - 1/2*l + u*l**2 + 1/4*l**5 + 1/4*l**3 + 0.
l*(l - 2)*(l - 1)**2*(l + 1)/4
Let q(a) be the first derivative of -5*a**3/4 + 111*a**2/8 - 21*a/2 + 289. Factor q(z).
-3*(z - 7)*(5*z - 2)/4
Let w = 70 - 60. Determine x, given that 15*x + 10*x**5 - 25*x**2 - 25*x**3 - w*x**4 + 10 + 10*x**4 + 15*x**4 = 0.
-2, -1, -1/2, 1
Let l be 10/(-3 - -23)*(-4)/(-9). Let c(i) be the first derivative of 1/15*i**5 + 0*i**4 - 2 - l*i**3 + 0*i**2 + 1/3*i. Factor c(j).
(j - 1)**2*(j + 1)**2/3
Let f(c) = -4*c**3 - 69*c**2 + 5*c - 5. Let h(t) = -t**2 + t - 1. Let k(i) = f(i) - 5*h(i). Solve k(p) = 0 for p.
-16, 0
Let b = 4/1089 - -964/1089. What is o in -b*o**3 - 4/9*o**2 + 0 - 4/9*o**4 + 0*o = 0?
-1, 0
Let p(i) = -9*i**3 + i**2 + 13*i - 13. Let w(n) = 11*n**3 - 2*n**2 - 14*n + 15. Let c(j) = -5*p(j) - 4*w(j). Solve c(a) = 0 for a.
-5, 1
Let y(s) be the first derivative of -s**3 - 81*s**2/2 + 84*s - 454. What is f in y(f) = 0?
-28, 1
Let x(u) be the first derivative of -1/3*u**3 + 0*u - 1/8*u**4 - 1/60*u**5 - 14 + 7*u**2. Let l(r) be the second derivative of x(r). Factor l(p).
-(p + 1)*(p + 2)
Let m(u) be the third derivative of -u**6/180 - u**5/45 + u**4/9 + 8*u**3/9 + 15*u**2 + 4. Determine l, given that m(l) = 0.
-2, 2
Let q(g) be the third derivative of -g**7/735 - g**6/35 - g**5/6 + g**4/7 + 12*g**3/7 - 