the second derivative of -5*j - 1/24*j**4 - 1/90*j**5 + 0 - 1/18*j**3 - 1/2*j**2. Let b(n) be the first derivative of x(n). Factor b(u).
-(u + 1)*(2*u + 1)/3
Let z(d) = d**3 + 7*d**2 - 9*d - 3. Let b be z(-8). Factor -26*v**3 - 24*v**3 + b*v**3 - 5*v**5 + 30*v**4.
-5*v**3*(v - 3)**2
Suppose 22*l - 132 = 330. Suppose 2*y + 11 = -13*n + 16*n, 0 = 5*n - 2*y - l. Factor 2/21*u**4 + 0 + 0*u + 2/21*u**n - 2/21*u**3 - 2/21*u**2.
2*u**2*(u - 1)*(u + 1)**2/21
Suppose -12 = -2*x - 4*g, -5*x + 137*g - 139*g = -6. Determine n so that x*n + 0 + 2/5*n**2 + 1/5*n**3 = 0.
-2, 0
Let w(u) be the second derivative of -u**6/20 - 9*u**5/10 - 45*u**4/8 - 25*u**3/2 + 3*u - 20. Let w(x) = 0. Calculate x.
-5, -2, 0
Suppose 63 = -3*q + 246. Suppose q*n - 62*n + 2 = 0. Suppose 8/3*a + 2/3*a**n + 8/3 = 0. Calculate a.
-2
Let m(l) be the third derivative of 1/140*l**5 + 0*l**3 + 4*l**2 + 0*l**4 + 0*l + 0 - 1/280*l**6. Factor m(r).
-3*r**2*(r - 1)/7
Let q(g) be the second derivative of 55/6*g**3 - g + 25/6*g**4 - 2*g**5 + 0 + 5*g**2. Solve q(b) = 0.
-1/2, -1/4, 2
Let h(w) be the third derivative of 0 - 3/2*w**6 + 5/21*w**7 + 61/30*w**5 + 0*w + 4/3*w**3 + 5*w**2 + 3*w**4. Factor h(j).
2*(j - 2)**2*(5*j + 1)**2
Let y(p) = 1 + 1 - 5 - 3*p. Let u(n) be the third derivative of -n**6/120 + n**5/60 + n**4/24 - n**3/6 - 28*n**2. Let s(v) = 3*u(v) - y(v). Factor s(m).
-3*m*(m - 2)*(m + 1)
Let c = 87114/7 - 12441. Factor 36/7*p**2 - 15/7*p**3 - c*p + 6/7.
-3*(p - 1)**2*(5*p - 2)/7
Let f(t) be the second derivative of 2*t**4/3 + 23*t**3/6 + 23*t**2/2 - 13*t. Let j(u) = -23*u**2 - 68*u - 68. Let o(m) = -8*f(m) - 3*j(m). Factor o(x).
5*(x + 2)**2
Solve 0*p - 3/5*p**2 + 0 = 0.
0
Suppose 5*k - 4*p - 76 = 0, -k + 0*p + 21 = 5*p. Suppose k = 5*l + 1. Solve 26/3*a + 12*a**l - 44/3*a**2 - 2 - 14/3*a**4 + 2/3*a**5 = 0 for a.
1, 3
Let u(x) be the third derivative of -14*x**2 + 0*x**3 + 0*x**5 + 1/18*x**4 + 0*x - 1/90*x**6 + 0. Factor u(z).
-4*z*(z - 1)*(z + 1)/3
Let l(u) be the third derivative of u**6/200 - 3*u**5/100 - 44*u**2. Factor l(w).
3*w**2*(w - 3)/5
Let g be ((-3230)/(-760) + (-21)/12*-1)*18. Factor -g - 3/4*a**2 + 18*a.
-3*(a - 12)**2/4
Let v(z) be the first derivative of -2*z**6/3 - 8*z**5 - 24*z**4 - 88*z**3/3 - 14*z**2 - 126. Factor v(x).
-4*x*(x + 1)**3*(x + 7)
Factor 8*q**2 - 11*q + 91*q - 20*q**2 - 219 - 56 + 7*q**2.
-5*(q - 11)*(q - 5)
Let l(r) be the second derivative of 1/8*r**2 + 1/48*r**4 + 0 + 1/12*r**3 - 11*r. Factor l(y).
(y + 1)**2/4
Let m be (43/(-15) - 160/(-96)) + 2. Factor -m*p**3 + 1/5 - 7/5*p**2 - 2/5*p.
-(p + 1)**2*(4*p - 1)/5
Let -15 + 3*z**4 - 21*z**3 + 12*z**2 + 3/2*z**5 + 39/2*z = 0. Calculate z.
-5, -1, 1, 2
Let m be (-3)/(-4) + (-6021)/8100. Let t(g) be the third derivative of 0 - 1/15*g**4 + 2*g**2 - m*g**5 - 1/5*g**3 + 0*g. Factor t(x).
-2*(x + 1)*(x + 3)/5
Let n(b) be the second derivative of -b**4/3 - 14*b**3/3 - 12*b**2 + 44*b. Factor n(d).
-4*(d + 1)*(d + 6)
Let g(w) = 9*w**3 + 3*w**2 - 2*w + 5. Let u(a) = -7*a**3 - 3*a**2 + 2*a - 4. Let h(y) = -4*g(y) - 5*u(y). Factor h(b).
-b*(b - 2)*(b - 1)
Let k(c) be the first derivative of c**4/12 + 26*c**3/9 + 49*c**2/6 + 8*c - 269. Determine d, given that k(d) = 0.
-24, -1
Let x(n) be the second derivative of 3/10*n**2 + 9*n + 1/20*n**4 + 0 + 1/3*n**3. Suppose x(f) = 0. What is f?
-3, -1/3
Let t(g) be the third derivative of -g**6/300 + g**4/60 - 12*g**2 + 2*g. Let t(n) = 0. Calculate n.
-1, 0, 1
Let f be 9/3 + 3/(-3)*21. Let x be ((-3)/f)/((-3)/(-4)). Suppose -2/9 + 0*z + x*z**2 = 0. Calculate z.
-1, 1
Let u(h) be the second derivative of -h**5/180 - 7*h**4/72 - h**3/3 - 13*h**2/2 + h. Let k(y) be the first derivative of u(y). Find x, given that k(x) = 0.
-6, -1
Let o(h) = -h**4 - 28*h**3 - 20*h**2 + 4*h + 4. Let a(k) = 10*k**4 + 250*k**3 + 180*k**2 - 35*k - 35. Let l(x) = 4*a(x) + 35*o(x). Factor l(j).
5*j**2*(j + 2)**2
Let t(i) be the second derivative of -2*i**6/45 - 4*i**5/15 + 5*i**4/9 + 4*i + 4. Determine g, given that t(g) = 0.
-5, 0, 1
Let h(j) be the second derivative of -1/3*j**4 - 12*j + 0 - 3/5*j**5 + 7/3*j**3 - 1/21*j**7 + 1/3*j**6 - 3*j**2. Factor h(s).
-2*(s - 3)*(s - 1)**3*(s + 1)
Suppose 2*x + 2 = 4*x. Let g be ((-10 + 8)*x/(-4))/1. Factor -1/2*c - c**2 + g.
-(c + 1)*(2*c - 1)/2
Suppose 13 + 36*p - 8 + 36 + 2*p**2 - 7 = 0. What is p?
-17, -1
Let 15/4 - 237/8*i + 6*i**3 + 57*i**2 = 0. Calculate i.
-10, 1/4
What is i in -2/9*i**5 + 8/9*i**4 + 0 - 8/3*i**2 + 4/9*i**3 - 2*i = 0?
-1, 0, 3
Let m(c) be the second derivative of -c**5/4 + 85*c**4/12 + 5*c**3/6 - 85*c**2/2 - 126*c - 2. Factor m(v).
-5*(v - 17)*(v - 1)*(v + 1)
Let a(h) = 136*h**2 - 118*h - 100. Let v(f) = 74*f**2 - 60*f - 50. Let u(x) = -6*a(x) + 11*v(x). Let u(b) = 0. Calculate b.
-1, 25
Let g = 2543/132 - 229/12. Find c such that 2/11*c - 4/11 - g*c**3 + 4/11*c**2 = 0.
-1, 1, 2
Let j be (-1416)/(-108) - 1/9. Factor -j + 9 - 24*r - 4*r**2 - 28.
-4*(r + 2)*(r + 4)
Suppose -5*n + 2*d = -30, 0 = -2*n - 0*d + 3*d + 23. Solve t**3 - 8*t + 3*t**3 + 5 - 2*t**3 + 11 - n*t**2 = 0.
-2, 2
Suppose 15 = 5*n + d, 0 = -n + 3*d - 5*d + 3. Determine g so that -3/2*g**2 + 0 - n*g = 0.
-2, 0
Let n(k) be the third derivative of k**7/35 + 9*k**6/80 - 109*k**5/20 - 855*k**4/16 - 50*k**3 - 21*k**2 - 6*k. Find f, given that n(f) = 0.
-5, -1/4, 8
Factor -66*l**2 - 3*l - 67*l**2 + 3*l**3 - 9*l**4 + 142*l**2.
-3*l*(l - 1)*(l + 1)*(3*l - 1)
Let z(f) be the third derivative of f**5/120 - f**4/6 + 4*f**3/3 - f**2 + 1. Determine q, given that z(q) = 0.
4
What is u in 5/3*u**4 + 10*u - 35/3*u**2 + 0*u**3 + 0 = 0?
-3, 0, 1, 2
Let g = -61 - -50. Let q be (-10)/(-55) + (-42)/g. Factor -2/3*n**2 + 0*n - 10/3*n**3 - 8/3*n**q + 0.
-2*n**2*(n + 1)*(4*n + 1)/3
Let h(i) = i + 7. Let q be (-3 + 12/5)*5. Let f be h(q). Factor -10*z**3 + 5*z - f - 7*z**2 + 3 + 13*z**3.
(z - 1)**2*(3*z - 1)
Let p be (-146 + 144)/((-45)/72). Suppose -4*k + 11 = -1. Factor -p - 16/5*j + 4/5*j**k + 0*j**2 + 1/5*j**4.
(j - 2)*(j + 2)**3/5
Let z be 2/((-178)/43 - -4). Let s = -13 - z. Find o such that 0 - s*o**4 + 0*o**3 + 0*o + 0*o**2 - 14/3*o**5 = 0.
-2/7, 0
Let j(y) be the second derivative of y**4/30 - 2*y**3/15 + 183*y. Factor j(k).
2*k*(k - 2)/5
Let s be (12/9)/((-10)/(-15)). Solve 7*h**4 - 10*h**4 + 3*h - 2*h**2 + 9*h**3 - 7*h**s = 0.
0, 1
Suppose 0 = 4*f - 2*h - 6 - 2, 3*f - 28 = -4*h. Let d(j) be the first derivative of -f*j**2 + 0*j - 4/3*j**3 - 1. Factor d(m).
-4*m*(m + 2)
Let j(v) be the third derivative of -v**7/315 + v**6/90 + 2*v**5/45 - v**4/18 - v**3/3 + 7*v**2 + v. Find c, given that j(c) = 0.
-1, 1, 3
Let x(l) be the second derivative of l**4/42 - 16*l**3/21 + 64*l**2/7 - 141*l. Let x(k) = 0. Calculate k.
8
Solve 68*y**2 + 57*y**3 - 16*y + 59/4*y**4 + 5/4*y**5 + 0 = 0.
-4, 0, 1/5
Factor 123/7*j + 120/7 + 3/7*j**2.
3*(j + 1)*(j + 40)/7
Let t(p) = -p**2 - 8*p + 11. Let k be (8 - -1)/(-1 - 0). Let o be t(k). Factor 4*d**o - 6*d - d**2 - 2 + 2.
3*d*(d - 2)
Let 4*n - 4/9*n**2 - 56/9 = 0. Calculate n.
2, 7
Let h(n) = -2*n**3 - 12*n**2 + 155*n + 932. Let a be h(-6). Factor 1/5*p**3 - 3/5*p + 2/5*p**a + 0.
p*(p - 1)*(p + 3)/5
Let q(j) be the second derivative of -j**5/35 - 4*j**4/7 - 30*j**3/7 - 100*j**2/7 - 18*j. Let q(w) = 0. Calculate w.
-5, -2
Let m be ((-3)/(-15))/(4/10). Let y(a) = -a**3 - 59*a**2 - 65*a - 406. Let w be y(-58). Find o such that w*o + 1/2*o**4 + 0 + o**3 + m*o**2 = 0.
-1, 0
Let h(y) = y**3 + 1. Let b(k) be the second derivative of 0 + 2/5*k**5 + 1/2*k**4 + 0*k**3 - k - k**2. Let x(r) = -b(r) + 6*h(r). Let x(s) = 0. Calculate s.
-2, 1
Let z(i) = i**2 + 8*i - 7. Let m be z(-9). Let y be ((-2)/18)/(51/(-102)). Factor -2/9*t**3 + y*t**m - 2/9 + 2/9*t.
-2*(t - 1)**2*(t + 1)/9
Let o(l) be the third derivative of -13*l**5/420 + 29*l**4/84 - 4*l**3/7 + 506*l**2. Factor o(m).
-(m - 4)*(13*m - 6)/7
Let x(a) = -4*a**2 + 23*a - 28. Let z(f) = -18*f**2 + 116*f - 140. Let b(i) = -28*x(i) + 6*z(i). Suppose b(r) = 0. Calculate r.
-14, 1
Let t(g) = 0 - g - 3*g - 1. Let r be t(-1). Factor -z**r - 21*z**2 + 2*z + 22*z**2 - 2*z.
-z**2*(z - 1)
Factor -71/2*d**2 - 19/2 - 2*d**3 + 47*d.
-(d - 1)*(d + 19)*(4*d - 1)/2
Let t be 8/56 - (-336)/49. Let k(l) be the third derivative of 0*l + 1/36*l**6 + 4/45*l**5 - 4*l**2 + 1/9*l**4 + 0*l**3 + 0 + 1/315*l**t. Factor k(s).
2*s*(s + 1)*(s + 2)*