 - 11. Solve u(n) = 0.
-6, -2, 0
Let h = 87 - 85. Factor 3*g - 3*g**h + 8*g**2 - 2*g**2.
3*g*(g + 1)
Let f(a) be the third derivative of 0 - 3*a**2 - 1/42*a**3 - 1/84*a**4 + 0*a - 1/420*a**5. Solve f(t) = 0.
-1
Let r = 27 - 13. Let m be 168/245 - 4/r. Factor 4/5*t + m*t**2 - 6/5.
2*(t - 1)*(t + 3)/5
Let f = -5 - -7. Suppose 32*h + 1 = 59*h + 1. Factor -4/5*y**3 - 8/5*y + h + 12/5*y**f.
-4*y*(y - 2)*(y - 1)/5
Let h(f) be the second derivative of 5*f**4/24 - 70*f**3 + 835*f**2/4 - 1032*f. Factor h(q).
5*(q - 167)*(q - 1)/2
Let k(f) = f**4 + f**2 - f + 1. Let r(u) = -u**5 - 3*u**4 + 9*u**3 + 3*u**2 - 14*u - 14. Let v(m) = -4*k(m) - 2*r(m). Find c such that v(c) = 0.
-3, -1, 2
Let y(h) be the second derivative of h**4/4 - 13*h**3/5 + 63*h**2/10 + 48*h - 1. Solve y(n) = 0.
1, 21/5
Suppose -282 = 5*s + 8. Let u be -5 - -2 - s/36*2. Let 2/9*n**5 + u*n**2 + 2/3*n**4 + 2/3*n**3 + 0 + 0*n = 0. Calculate n.
-1, 0
Let r = 144 - 144. Suppose 5*z - 8 - 2 = r. Factor 10/3*w**z + 0 - 8/3*w.
2*w*(5*w - 4)/3
Suppose -4*w = 20, -3*k - 4*w = -0*k + 5. Let h be (k - 3)/(-6)*-12. Determine p so that 8*p**3 + 12*p**h - 2*p**4 + 4*p**2 - 6*p**4 = 0.
-1, 0
Let v = -3199/68 + 838/17. Determine w so that 3/4*w**3 - 3/4*w**4 + v*w**2 - 3/4*w - 3/2 = 0.
-1, 1, 2
Let j(k) be the second derivative of k**4/24 + 2*k**3/3 + 7*k**2/4 - 2*k - 30. Solve j(c) = 0 for c.
-7, -1
Let s(a) be the first derivative of -a**7/3780 - a**6/540 - a**5/270 + 10*a**3/3 + 11. Let l(t) be the third derivative of s(t). Factor l(r).
-2*r*(r + 1)*(r + 2)/9
Let k be (1 - -6) + (-2106)/648 - -3. What is i in 1/4*i**3 + k*i + 27/4 + 9/4*i**2 = 0?
-3
Let g be 26 + (-9)/3 + 4. Let -4 + 34*q - g*q**2 - 11*q - q - 3*q**2 = 0. Calculate q.
1/3, 2/5
Let x(f) be the third derivative of -f**6/40 + 37*f**5/20 - 71*f**4/8 + 35*f**3/2 - 38*f**2 + f. Factor x(p).
-3*(p - 35)*(p - 1)**2
Let u be 5 + ((-1)/(-26))/((-6)/768). Let l(y) be the first derivative of 0*y - 4/39*y**3 + 3 - u*y**2. Suppose l(q) = 0. Calculate q.
-1/2, 0
Let r = 148 + -145. Factor 5*u**r - 12*u**5 + 14*u**5 - 7*u**5.
-5*u**3*(u - 1)*(u + 1)
Let o = 58 - 34. Factor 24 - 5*k**2 - o + 2*k**2 + 15*k.
-3*k*(k - 5)
Let v = -11 + 17. Let s(k) = 5*k**3 + 5*k**2 - 15*k + 5. Let o(y) = 5*y**3 + 4*y**2 - 15*y + 6. Let x(a) = v*s(a) - 5*o(a). Determine q, given that x(q) = 0.
-3, 0, 1
Let l(c) be the first derivative of -2*c**3/21 + 10*c**2/7 - 56. Factor l(v).
-2*v*(v - 10)/7
Suppose 0 = -7*c - 609 + 609. Let z(d) be the second derivative of 77/4*d**4 - 20*d**3 + c + 6*d**2 + 4*d + 363/20*d**5. Let z(t) = 0. Calculate t.
-1, 2/11
Determine b, given that 32/7*b**5 - 16/7*b**4 + 0 - 78/7*b**3 - 34/7*b**2 - 4/7*b = 0.
-1, -1/4, 0, 2
Let y(q) be the third derivative of -q**6/120 + 3*q**5/10 - 35*q**4/8 + 98*q**3/3 - 48*q**2 - 2*q. Factor y(o).
-(o - 7)**2*(o - 4)
Let u be (4 + (-584)/140)*((-480)/18)/8. Factor 0*a + u*a**2 + 0.
4*a**2/7
Let j(k) be the first derivative of k**6/840 - k**4/168 - 29*k**2/2 + 4. Let m(l) be the second derivative of j(l). Determine c so that m(c) = 0.
-1, 0, 1
Let i be ((-245)/36)/(-7) + (-84)/112. Find x, given that 8/9*x**3 + 2/9 + i*x**4 + 4/3*x**2 + 8/9*x = 0.
-1
Let k(o) be the second derivative of 1/120*o**6 + 1/4*o**2 + 0 - 1/80*o**5 + 1/24*o**3 - 1/16*o**4 + 9*o. Solve k(v) = 0.
-1, 1, 2
Suppose -4 = 4*g, -v + 3*g - 30 = -g. Let x(j) = 2*j**2 + 27*j + 69. Let o(f) = 12*f**2 + 161*f + 415. Let a(u) = v*x(u) + 6*o(u). Let a(k) = 0. Calculate k.
-6
Let x(q) be the first derivative of 2*q**6/27 + 4*q**5/15 - 23*q**4/9 + 44*q**3/9 - 28*q**2/9 - 240. Let x(l) = 0. Calculate l.
-7, 0, 1, 2
Factor -5*k**2 + 9/2*k**3 - k**4 + 7/4*k + 0 - 1/4*k**5.
-k*(k - 1)**3*(k + 7)/4
Let x(n) be the third derivative of 0*n - 9*n**2 - 1/42*n**7 + 0*n**3 + 0 + 5/336*n**8 + 0*n**4 - 5/24*n**6 - 1/4*n**5. Factor x(m).
5*m**2*(m - 3)*(m + 1)**2
Solve 960*h + 194/5*h**2 + 4608/5 + 2/5*h**3 = 0 for h.
-48, -1
Let b(w) = 7*w**4 + 3*w**3 - 5*w**2 - 13*w - 2. Let u(l) = 51*l**4 + 21*l**3 - 33*l**2 - 90*l - 12. Let p(s) = 15*b(s) - 2*u(s). Let p(g) = 0. Calculate g.
-1, 2
Suppose -10*g + 23 = -7. Let j(t) = 7*t**5 + 10*t**3 - 9*t. Let q(a) = a**5 + a**3 - a. Let p(u) = g*j(u) - 24*q(u). Factor p(y).
-3*y*(y - 1)**2*(y + 1)**2
Let g be 66/(-54) - 6/(-27). Let r be (g - (-2 - 2)) + 1. Find o, given that -r*o**3 - o**5 - 2 + 0*o + 2*o**5 + 4*o + 2*o**2 - o = 0.
-2, -1, 1
What is g in -16/3 + 16/3*g - 4/3*g**2 = 0?
2
Solve 0 - 2/9*b**3 + 8/9*b**2 + 8/3*b = 0.
-2, 0, 6
Let c(m) be the second derivative of -m**7/420 + 7*m**6/360 - m**5/30 - 5*m**4/6 + 9*m. Let z(a) be the third derivative of c(a). Find b, given that z(b) = 0.
1/3, 2
Let b = -17 - -17. Let a(l) be the second derivative of -2/63*l**7 + 0*l**4 - 2/9*l**3 - 4*l + b + 0*l**2 + 2/15*l**5 + 0*l**6. Suppose a(j) = 0. Calculate j.
-1, 0, 1
Let h be 14/(-28) + (-7)/(-2). Factor -48*k**3 + 0*k**2 + 37*k**3 - 8*k**2 + 47*k**h.
4*k**2*(9*k - 2)
Let u = 2323 - 9291/4. What is d in 0 + 1/4*d + 3/4*d**3 + u*d**4 + 3/4*d**2 = 0?
-1, 0
Factor -648*z**2 + 14408*z**3 - 54*z**4 - z**5 - 14732*z**3 - 2*z**5.
-3*z**2*(z + 6)**3
Let b(v) be the third derivative of v**5/30 - v**4/24 + v**3/3 + 4*v**2. Let a be b(1). Solve -9*r - 3*r**3 - 4*r**2 - 2*r**a - 3*r**4 + r**4 + 8*r = 0 for r.
-1, -1/2, 0
Let c be (9/(-28))/(30/(-35)). Let n = -1388 - -1392. Determine b, given that -3/8*b**3 + c*b**n - 3/8*b**2 + 0*b + 0 + 3/8*b**5 = 0.
-1, 0, 1
Suppose 0 = 3*b - 4*v + 3*v - 7, b - 4*v = -16. Suppose -b - 191*h**4 + 14*h + 189*h**4 + 7*h**3 - 18*h**2 + 3*h**3 = 0. Calculate h.
1, 2
Let 99/2*j + 27/2*j**3 + 78*j**2 - 15 = 0. Calculate j.
-5, -1, 2/9
Suppose -1445 = -5*a + 5*g, 3*g - 855 = -2*a - a. Suppose -281 = 3*c - a. Factor -4/5*w + 6/5*w**c + 0.
2*w*(3*w - 2)/5
Let o be ((7 - 1) + 735/(-126))*0. Factor -1/2*z**2 + o + z.
-z*(z - 2)/2
Suppose 4*b - t - 7 = 1, -t = 0. Suppose -o - b*z = 0, -o = -0*o - 5*z - 14. Factor -2*w**3 + 4*w**3 + o*w**2 + 2*w**3.
4*w**2*(w + 1)
Let j(b) be the third derivative of -2*b**7/105 - 29*b**6/30 + 2*b**5 + 32*b**2 + 2*b. Factor j(n).
-4*n**2*(n - 1)*(n + 30)
Let o(h) be the second derivative of h**5/30 + 11*h**4/12 - 4*h**3 - 18*h**2 - 3*h. Let k(z) be the first derivative of o(z). Suppose k(l) = 0. Calculate l.
-12, 1
Let q(a) be the third derivative of a**5/90 - 5*a**4/18 - 11*a**3/9 - 210*a**2. Suppose q(i) = 0. Calculate i.
-1, 11
Let j = -871/8 + 2629/24. Factor -2 + 4/3*w**2 + j*w**5 + 2/3*w**4 + 10/3*w - 4*w**3.
2*(w - 1)**3*(w + 1)*(w + 3)/3
Let j(o) = -17*o**2 - 9 - 8 + 9 + 6*o**2 + 13*o. Let n(a) = -21*a**2 + 25*a - 15. Let d(b) = -11*j(b) + 6*n(b). Let d(k) = 0. Calculate k.
2/5, 1
Let p be 4060/1305 - 1/9. Find w such that -1/6*w**5 - 1/2*w**p - 1/6*w**2 + 0 + 0*w - 1/2*w**4 = 0.
-1, 0
Let l(b) = b**3 + 10*b**2 + 13*b + 6. Let n be l(-8). Factor -n*u - 6 - 75/2*u**2.
-3*(5*u + 2)**2/2
Let u(l) be the third derivative of -l**7/315 + l**6/36 - l**5/10 + 7*l**4/36 - 2*l**3/9 + 96*l**2 - 2. Factor u(p).
-2*(p - 2)*(p - 1)**3/3
Let u = -319 - -998/3. Let i = -13 + u. Factor -i*m**2 + 0 - 2/3*m**3 + 0*m.
-2*m**2*(m + 1)/3
Let g(w) be the second derivative of -w**7/504 - w**6/72 - w**5/24 + 17*w**4/6 - 15*w. Let a(d) be the third derivative of g(d). What is p in a(p) = 0?
-1
Let q(t) be the second derivative of -t**6/45 - t**5/15 + 2*t**3/9 + t**2/3 + 21*t. Let q(j) = 0. Calculate j.
-1, 1
Let h = -201/11 - -3505/187. Let g = 10/51 + h. Let -1/3*u**4 + 0 + 0*u**3 + u**2 + g*u = 0. Calculate u.
-1, 0, 2
Let u(k) be the third derivative of 0*k**3 + 0*k + 1/72*k**4 - 1/90*k**5 + 0 + 1/360*k**6 + 4*k**2. Find d such that u(d) = 0.
0, 1
Factor 21/5 - 3/5*x**2 + 18/5*x.
-3*(x - 7)*(x + 1)/5
Let c(i) be the first derivative of 0*i - 4/3*i**3 + 17 - 12/5*i**5 - 3*i**4 + 0*i**2 - 2/3*i**6. Factor c(y).
-4*y**2*(y + 1)**3
Factor 38/9*y**4 + 0 + 4*y**3 + 0*y + 0*y**2 + 2/9*y**5.
2*y**3*(y + 1)*(y + 18)/9
Let l(z) = z**2 + 4*z + 3. Let x be l(-3). Let j(w) be the second derivative of 1/3*w**4 + x - 2/3*w**3 - 5*w - 4*w**2. Factor j(y).
4*(y - 2)*(y + 1)
Let l(x) be the second derivative of -x**6/15 - 13*x**5/10 - 23*x**4/6 - 11*x**3/3 + 32*x - 6. What is k in l(k) = 0?
-11, -1, 0
Let u = 450826/67623 - 2/22541. Suppose -8/3*c + 16/3*c**3 + 0 - u*c**2 + 4*c**4 = 0. What is c?
-2, -1/3, 0, 1
