he second derivative of -v*y**5 + 0*y**2 - 2*y + 0*y**3 + 0 + 1/18*y**4. Solve a(l) = 0 for l.
0, 1
Factor 7*k + k - 5*k**3 - 110*k**2 + 156 + 0*k - 46 - 3*k.
-5*(k - 1)*(k + 1)*(k + 22)
Let z(s) be the second derivative of -s**6/40 + 3*s**5/80 + 7*s**4/16 - s**3/8 - 9*s**2/4 + 121*s. Suppose z(n) = 0. Calculate n.
-2, -1, 1, 3
Suppose 2*g - 2 - 4 = 0. Suppose 5*r + g*u = 24, u + 0 = -3*r + 12. Factor -5*w**r - 4*w**2 - 4*w**3 + w**3.
-4*w**2*(2*w + 1)
Let y(l) be the first derivative of 2*l**3/21 - 4*l**2 - 120*l/7 + 319. Find j, given that y(j) = 0.
-2, 30
Let r(k) be the third derivative of -k**5/240 - k**4/8 - 5*k**3/6 - 2*k**2 - 9. Factor r(o).
-(o + 2)*(o + 10)/4
Let u(g) be the third derivative of -g**6/720 + g**5/72 + g**4/3 - 7*g**3 - 70*g**2 + g. Factor u(w).
-(w - 6)**2*(w + 7)/6
Let o(k) be the third derivative of k**6/120 - 2*k**5/15 + 5*k**4/24 + 7*k**3/3 - 82*k**2. Factor o(s).
(s - 7)*(s - 2)*(s + 1)
Let n(l) = -7*l**5 - 3*l**4 + 2*l**3 - 2*l**2. Let q(w) = 4*w**5 + 2*w**4 - w**3 + w**2. Let m(a) = 3*n(a) + 5*q(a). Factor m(j).
-j**2*(j - 1)**2*(j + 1)
Let k(i) be the third derivative of -i**8/60480 + i**6/6480 + 3*i**4/8 - 34*i**2. Let a(m) be the second derivative of k(m). Find b, given that a(b) = 0.
-1, 0, 1
Let a be 4*(-17)/408*-8. What is p in 10/3*p**3 + a*p - 14/3*p**2 + 0 = 0?
0, 2/5, 1
Let y be (-431)/(-4) - (-16)/64. Let s be 1 + (1/4 - 111/y). Factor s*c**3 - 4/9*c - 2/9*c**2 + 0.
2*c*(c - 2)*(c + 1)/9
Let c = 741/415 + 6/415. Find f such that c - 6/5*f - 3/5*f**2 = 0.
-3, 1
Suppose -15 + 22 = 7*y. Let x be (-12 - -11)*0/(2 - y). Factor x - 1/3*d**4 - 1/3*d**5 + 1/3*d**3 + 0*d + 1/3*d**2.
-d**2*(d - 1)*(d + 1)**2/3
Suppose 5*v + 340 = 5*t, -v + 25 + 51 = t. Suppose t*g - 4*g**2 - 31 - 347 + 54 = 0. Calculate g.
9
Let i(c) be the third derivative of 1/390*c**5 - 17*c**2 + 4/39*c**3 + 0*c + 1/39*c**4 + 0. Factor i(p).
2*(p + 2)**2/13
Factor -13/2*j**2 - 6 + 25/2*j.
-(j - 1)*(13*j - 12)/2
Let u(o) = 4*o**2 + 3*o - 3. Let p be u(1). Factor 8*n**5 + 0*n**p + 3*n**3 - 4*n**4 - 7*n**3.
4*n**3*(n - 1)*(2*n + 1)
Factor 4 + 2*c**4 + c**4 - c**5 - 8*c**3 + 9*c**3 - 7*c**2.
-(c - 2)**2*(c - 1)*(c + 1)**2
Let i be 5 - 0*(-2)/4. Suppose 3*d + d - 30 = -i*z, -29 = -2*z - 5*d. What is q in -6*q**z + 3*q**2 + 6*q**2 + 6*q = 0?
-2, 0
Let y(a) be the second derivative of 1/5*a**2 + 3*a + 1/30*a**4 + 0 + 1/6*a**3. Find d, given that y(d) = 0.
-2, -1/2
Let m(g) = 147*g + 444. Let h be m(-3). Find w such that -3/4*w**h + 0 - 3/4*w + 3/2*w**2 = 0.
0, 1
Let c(o) be the first derivative of 1/21*o**4 - 7 - 6*o + 0*o**3 + 0*o**2 - 1/70*o**5. Let h(d) be the first derivative of c(d). Factor h(v).
-2*v**2*(v - 2)/7
Let y(w) be the first derivative of -2*w**5/45 + w**4/18 + 26*w**3/27 - 25*w**2/9 + 8*w/3 + 153. Let y(u) = 0. What is u?
-4, 1, 3
Let v be (10/(-72)*1)/(16/(-128)). Find s, given that 2/9*s + 0 - 2/3*s**3 + 2/9*s**2 - 4/9*s**5 - v*s**4 = 0.
-1, 0, 1/2
Let q be (112/21 - 4) + 1 + (5 - 7). Let a be 3/(-4)*(-10)/9. Suppose -3/2*b**2 + a*b**3 + 7/6*b - 1/6*b**4 - q = 0. What is b?
1, 2
What is f in 2/5*f - 1/5*f**2 + 8/5 = 0?
-2, 4
Let v = 48 + -39. Suppose -4*n + j + 9 = n, 3*j - v = -3*n. Factor 2/5*z**3 - 1/5*z**4 - 1/5 - 1/5*z**5 - 1/5*z + 2/5*z**n.
-(z - 1)**2*(z + 1)**3/5
Let f(r) be the first derivative of -2*r**3/9 - 50*r**2 - 3750*r + 87. Factor f(w).
-2*(w + 75)**2/3
Let z = -2686/3 + 886. Let h = 83/6 + z. Suppose 18*s**2 + 15*s**3 - 3 - 3*s**4 + 3/2*s - h*s**5 = 0. Calculate s.
-1, 1/3, 2
Let 33*m**3 + 3*m**4 - 3*m**4 + 2*m**4 - 29*m**3 = 0. What is m?
-2, 0
Let h = 18 - 16. Suppose 25*c**3 + 50*c**2 + 33*c**2 + 10*c - 28*c**h = 0. Calculate c.
-2, -1/5, 0
Let c(s) = -2*s - 2. Let x be c(-2). Let g be (-5 - (2 - 8))*2. What is a in a**3 + 9*a + 2*a**3 + x*a**2 - 16*a**2 + 2*a**g = 0?
0, 1, 3
Suppose -7*o + 10*o = 12. Determine d so that 34*d**2 + 0*d**4 - 6*d**3 + 2*d**o - 30*d**2 = 0.
0, 1, 2
Let f(u) = -9*u**2 - 6*u - 4. Let o be f(6). Let l = -1435/4 - o. Factor 15/4*p**4 - 27/4*p**3 - 3/2*p + l*p**2 + 0 - 3/4*p**5.
-3*p*(p - 2)*(p - 1)**3/4
Let h(a) be the third derivative of a**5/20 + 21*a**4/4 + 441*a**3/2 + 2*a**2 - 140*a. Factor h(p).
3*(p + 21)**2
Let v(b) = -2*b**4 + b**2 - 1. Let y(k) = -16*k**4 - 18*k**3 - 41*k**2 - 32*k - 7. Let x(r) = -14*v(r) + 2*y(r). Factor x(c).
-4*c*(c + 1)*(c + 4)**2
Let j(w) be the third derivative of -w**6/120 + w**5/15 - w**4/8 + 14*w**2. Let f be j(2). Solve 3/4*r**3 + 0 + 3/4*r - 3/2*r**f = 0.
0, 1
Let c = 3065 - 3063. Factor 3/10*n + 0 + 1/10*n**c.
n*(n + 3)/10
Suppose -41*l + 46 = -18*l. Solve 0 + 2/5*v + 2/5*v**l = 0.
-1, 0
Let m(b) = -b**5 + b**4 + b**3 + b - 1. Let k(l) = 40*l**5 - 50*l**4 - 45*l**3 + 60*l**2 - 75*l + 35. Let t(r) = k(r) + 35*m(r). Factor t(n).
5*n*(n - 2)**2*(n - 1)*(n + 2)
Suppose -2*v - v = -f - 20, 2*f + 5*v - 4 = 0. Let t = -6 - f. Factor -y**2 + y**2 + 3*y + 2*y**2 + y**t.
3*y*(y + 1)
Let w = 20063 + -60181/3. What is d in -8/3*d + w + 2/3*d**3 - 2/3*d**2 = 0?
-2, 1, 2
Let k(x) = -1. Let c(v) = -3*v**2 + 3*v + 12. Suppose 17 = 5*d - 13. Let m(s) = d*k(s) + c(s). Solve m(n) = 0.
-1, 2
Let p be ((-28)/126)/(((-40)/6)/5). Let k(x) be the third derivative of 0*x + 0 + p*x**4 + 6*x**2 - 1/30*x**5 + 0*x**3. Determine m so that k(m) = 0.
0, 2
Let z(l) be the first derivative of 2*l**6/15 + 2*l**5/5 + l**4/3 + 2*l - 13. Let s(q) be the first derivative of z(q). Solve s(u) = 0 for u.
-1, 0
Determine h so that -13*h**5 + 4*h**2 - 16*h**3 - 68*h**3 + 14*h**2 + 50*h**4 + 5*h**5 = 0.
0, 1/4, 3
Suppose -561*y**3 - 569*y**3 + 1132*y**3 + 12*y**2 = 0. Calculate y.
-6, 0
Suppose 0 = -3*o - 2*o + 4*c + 1016, -413 = -2*o - 5*c. Let b = o - 2650/13. Solve -2/13*g**2 + 8/13 + b*g**3 - 8/13*g = 0 for g.
-2, 1, 2
Let v(p) be the third derivative of -1/10*p**5 + 0*p**3 + 0*p**4 + 0 - 5*p**2 - 1/16*p**8 + 1/35*p**7 + 7/40*p**6 + 0*p. Find t, given that v(t) = 0.
-1, 0, 2/7, 1
Let n(d) = 2*d**2 - 47*d - 69. Let c be n(25). Let i(w) be the first derivative of -2/5*w**5 + w**2 + 3/2*w**4 + c - 2*w**3 + 0*w. Factor i(v).
-2*v*(v - 1)**3
Suppose 2*n + 10 = 0, -2*t + 4*n = 3*t - 20. Let d be 2 - t/(-6 - -5). Factor 4/3 + 4*x + 3*x**d.
(3*x + 2)**2/3
Suppose -848/3*g**2 - 8*g**4 + 1/3*g**5 - 1024/3 + 212/3*g**3 + 512*g = 0. What is g?
2, 4, 8
Let -4*c**2 + 4*c**2 + 6*c**2 + c**3 - 8*c**2 = 0. What is c?
0, 2
Let l(t) = t**2 + 16*t - 54. Let u be l(-19). Let i(o) be the first derivative of 5 + 4/11*o - 2/33*o**u - 1/11*o**2. Factor i(b).
-2*(b - 1)*(b + 2)/11
Let i(h) = -h**3 - 11*h**2 - 11*h - 8. Let l(x) = -x**3 - 2. Let c be l(2). Let w be i(c). Factor -1/3*v + 1/3*v**w + 0.
v*(v - 1)/3
Let h(p) = -6*p**4 + 388*p**3 + 394*p**2 - 8. Let m(j) = 11*j**4 - 776*j**3 - 787*j**2 + 14. Let n(l) = -7*h(l) - 4*m(l). Factor n(a).
-2*a**2*(a - 195)*(a + 1)
Let w(a) = -a + 10. Let m be w(5). Let v be (6 - 2) + -1 + m. What is l in 3*l**2 - l - l + v*l = 0?
-2, 0
Let d(t) be the first derivative of 4*t**3/3 - 52*t**2 + 100*t - 86. Solve d(o) = 0 for o.
1, 25
Let q(a) = -3*a - 13. Let w be q(-6). Suppose -f = 3 - w. Factor 8*b**4 - 3*b**4 - b**2 - b**2 - 3*b**f.
5*b**2*(b - 1)*(b + 1)
Let c(b) be the third derivative of b**8/11200 - b**7/2100 - b**6/400 + b**4/24 + 10*b**2. Let a(g) be the second derivative of c(g). Factor a(p).
3*p*(p - 3)*(p + 1)/5
Let -149/2*l + 2*l**4 - 91/2*l**3 - 219/2*l**2 - 25/2 = 0. What is l?
-1, -1/4, 25
Let w(b) be the first derivative of -3*b**5/5 - b**4/4 + 2*b**3/3 - 57. Factor w(c).
-c**2*(c + 1)*(3*c - 2)
Let r(b) be the first derivative of -b**4/4 - 5*b**3 - 19*b**2 - 24*b - 183. Suppose r(c) = 0. Calculate c.
-12, -2, -1
Let a(h) be the first derivative of 1/2*h - 1/4*h**4 - 10 - 1/10*h**5 + 0*h**3 + 1/2*h**2. Factor a(g).
-(g - 1)*(g + 1)**3/2
Let t be (-14)/6*(-318)/371. Factor -1/4*x**3 - 1/4 + 1/4*x + 1/4*x**t.
-(x - 1)**2*(x + 1)/4
Let y = 2179/6 - 363. Let u(m) be the second derivative of 0 - y*m**4 + m**2 + 3*m + 1/3*m**3 - 1/10*m**5. Factor u(x).
-2*(x - 1)*(x + 1)**2
Suppose -9*b + 116 = -5*b. Suppose -4*j - 29 + b = 0. Let 0*w**3 + 0*w + 1/3*w**4 - 1/3*w**2 + j = 0. What is w?
-1, 0, 1
Let h(m) be the third derivative of m**7/840 - m**6/480 - m**5/40 - 94*m**2. Suppose h(t) = 0. What is t?
-2, 0, 3
Let x(v) be the first derivative of v**5/20 - 5*v**4