 second derivative of -4*x - x**2 + 1/4*x**4 - 1/6*x**3 - 1/30*x**6 + 1/20*x**5 + h. Solve q(f) = 0 for f.
-1, 1, 2
Let p be 19 + -19 - (-10)/12. Suppose 1/6*v**2 + 0*v + p*v**3 + 0 = 0. Calculate v.
-1/5, 0
Suppose 2 = -2*d, 5*k - 4 = k - 4*d. Let w be 1*-1 - 45/(-25). Find m, given that 2/5*m**k + 2/5 + w*m = 0.
-1
Let l(n) = -n**2 + 4*n - 3. Let j be l(1). Factor 0 + j*q - 2/9*q**2 + 2/9*q**3.
2*q**2*(q - 1)/9
Let r(q) be the third derivative of q**5/30 - q**4/12 - 3*q**2. Find y, given that r(y) = 0.
0, 1
Let g(c) be the second derivative of -c**7/42 + c**6/15 + 10*c. Factor g(n).
-n**4*(n - 2)
Let p(r) = 5*r**3 - r**2 - 4. Let d(n) be the third derivative of n**6/20 - n**5/60 - 5*n**3/6 + 8*n**2. Let f(x) = -4*d(x) + 5*p(x). Factor f(v).
v**2*(v - 1)
Let n(y) be the second derivative of y**4/12 + 5*y**3/6 + 2*y**2 + 4*y + 7. Factor n(w).
(w + 1)*(w + 4)
Let x(c) be the third derivative of -1/30*c**5 + 1/12*c**4 + 0*c + 0 + 2*c**2 + 0*c**3. Let x(v) = 0. Calculate v.
0, 1
Let 3*j**2 + 22*j + 6*j**2 + 4 - j**2 + 2*j**2 = 0. What is j?
-2, -1/5
Suppose 17*l - 4*l**2 + 3*l**2 + 7*l - 3*l**2 = 0. Calculate l.
0, 6
Let d = 190 - 568/3. Determine r so that d*r - 1/3*r**2 + 0 = 0.
0, 2
Let f(t) be the first derivative of -3*t**5/10 - 3*t**4/2 - 5*t**3/2 - 3*t**2/2 + 8. Factor f(u).
-3*u*(u + 1)**2*(u + 2)/2
Suppose 4*l - 2*d = 16, -d - 3 - 11 = -5*l. Factor 0 - 1/4*m**l + 0*m.
-m**2/4
Factor -2/3*r**5 - 16/3*r**3 + 10/3*r**4 + 0 + 8/3*r**2 + 0*r.
-2*r**2*(r - 2)**2*(r - 1)/3
Let -4*d - 12*d + 0*d + 4*d**2 = 0. What is d?
0, 4
Factor 14/3*h - 8/3 - 2/3*h**3 - 4/3*h**2.
-2*(h - 1)**2*(h + 4)/3
Suppose 5*z - 2*g - 13 = 0, 5*z = -0*z - 2*g + 17. Let 6/5*m**5 + 2/5 - 12/5*m**2 + 2*m**4 - 4/5*m**z - 2/5*m = 0. Calculate m.
-1, 1/3, 1
Let b(f) be the second derivative of -2*f**7/21 - 2*f**6/15 + 9*f**5/5 - 11*f**4/3 + 8*f**3/3 + 22*f. Factor b(y).
-4*y*(y - 1)**3*(y + 4)
Let m be (-46)/(-60) + (-3)/5. Let y(n) be the second derivative of -1/10*n**5 - n**2 + 0 + m*n**4 + 1/3*n**3 + n. Factor y(w).
-2*(w - 1)**2*(w + 1)
Let s(q) be the first derivative of -q**4/10 - 2*q**3/15 + 2*q**2/5 - 21. Factor s(w).
-2*w*(w - 1)*(w + 2)/5
Let b(k) = 3*k**4 + 24*k**3 - 12*k**2. Let p(c) be the second derivative of c**6/30 + 3*c**5/10 - c**4/4 + 10*c. Let n(i) = 4*b(i) - 15*p(i). Solve n(o) = 0.
0, 1
Let r(l) = -l**5 + l**4 + l**3 - l**2 + l - 1. Let v(k) = 2*k**5 - 6*k**4 - 3*k**3 + 7*k**2 - 3*k + 3. Let i(x) = -15*r(x) - 5*v(x). Factor i(n).
5*n**2*(n - 1)*(n + 2)**2
Suppose 1/7*h**5 - 1/7*h**2 + 0 - 3/7*h**3 + 2/7*h + 1/7*h**4 = 0. What is h?
-2, -1, 0, 1
Let b be (-40)/32*(-1 - 4/(-5)). Solve -b + 1/4*u**2 + 0*u = 0.
-1, 1
Let w be 3/(-18) + 4/24. Let j(y) = -2*y - 6. Let h be j(-4). Suppose 2/5*k**h + w - 4/5*k = 0. Calculate k.
0, 2
Let i(d) = -3 - 2*d + 3*d - 4. Let a be i(9). Suppose u + 1 + u**a + 0 + u = 0. What is u?
-1
Let x(q) be the third derivative of -q**7/1575 + q**6/900 + q**5/150 - q**4/36 + 2*q**3/45 + 21*q**2. Factor x(y).
-2*(y - 1)**3*(y + 2)/15
Let y(d) be the third derivative of d**8/1176 - d**7/735 - d**6/420 + d**5/210 - 2*d**2. What is x in y(x) = 0?
-1, 0, 1
Let i = -8 - -14. Let s(b) be the first derivative of -1 - 3*b**4 - 1/3*b**i + 8/5*b**5 - b**2 + 0*b + 8/3*b**3. Factor s(v).
-2*v*(v - 1)**4
Let i(k) be the second derivative of k**4/4 + k**3/2 - 3*k**2 + 6*k. Factor i(p).
3*(p - 1)*(p + 2)
Let v(d) = 5*d**4 + 2*d**3 + 9*d**2 + 12*d + 8. Let k(b) = -b**4 + b**3 + b**2 - 1. Let w(r) = 4*k(r) + v(r). Factor w(x).
(x + 1)**2*(x + 2)**2
Let b(r) be the first derivative of -2*r**5/15 - 5*r**4/6 - 14*r**3/9 - r**2 + 23. Let b(y) = 0. Calculate y.
-3, -1, 0
Solve -95 - 504*l**2 + 31 - 55*l**4 + l**4 - 304*l - 324*l**3 = 0 for l.
-4, -2/3
Let t(p) be the third derivative of p**8/56 - p**7/70 + 7*p**2. Factor t(j).
3*j**4*(2*j - 1)
Let p be (0/2)/3 + 0. Let l(i) be the first derivative of 1/9*i**2 + p*i - 1/18*i**4 + 0*i**3 - 2. Suppose l(n) = 0. Calculate n.
-1, 0, 1
Let a(l) = 5*l**3 - 4*l**2 - 19*l - 10. Let o(c) = 30*c**3 - 25*c**2 - 115*c - 60. Let j(y) = -25*a(y) + 4*o(y). What is r in j(r) = 0?
-1, 2
Let c(l) = -l**5 + l**4 + l**3 - l + 1. Let h(k) = 0*k**5 - 3*k**5 - 2*k**2 - k**5 + 4*k**4 + 4*k**3 + 2 + 0*k - 2*k. Let d(i) = -2*c(i) + h(i). Factor d(w).
-2*w**2*(w - 1)**2*(w + 1)
Let s = -38 + 38. Let d be 3*((-4)/(-2))/18. Suppose 1/3*u + 0*u**2 + s - 2/3*u**3 + d*u**5 + 0*u**4 = 0. Calculate u.
-1, 0, 1
Let r(p) = p**3 + 9*p**2 - 10*p. Let a be r(-10). Let n(h) be the third derivative of a + 1/72*h**4 - 1/60*h**5 + 0*h**3 + h**2 + 0*h. Factor n(q).
-q*(3*q - 1)/3
Factor 5/4*p - 15/2 + 15/2*p**2 - 5/4*p**3.
-5*(p - 6)*(p - 1)*(p + 1)/4
Factor -2/17*k + 0 + 4/17*k**2 - 2/17*k**3.
-2*k*(k - 1)**2/17
Let n(y) = 30*y**5 + 82*y**4 + 28*y**3 - 40*y**2 - 26*y. Let q(r) = r. Let x(b) = n(b) + 10*q(b). Solve x(a) = 0 for a.
-2, -1, -2/5, 0, 2/3
Let l(j) = -j**3 + j - 2. Let p be l(-2). Let w(h) = -h**3 - h**2 + h + 2. Let k be w(0). Factor 2*d**2 - 2*d**5 - 6*d**3 - 7*d**2 - d**p + 3*d**k - 5*d**4.
-2*d**2*(d + 1)**3
Suppose 45*h = 44*h. Factor 0 + h*z - 2/9*z**3 - 2/9*z**2.
-2*z**2*(z + 1)/9
Let v(k) be the second derivative of -k**4/48 + k**3/4 - 5*k**2/8 + 24*k. Find x, given that v(x) = 0.
1, 5
Let k(j) = 3*j**2 + 8*j - 2. Let z(o) = 4*o**2 + 9*o - 3. Let n(f) = 5*k(f) - 4*z(f). Let s be n(4). Factor -x**s + x**2 - 2*x**2.
-2*x**2
Let z(t) be the first derivative of 1 + 2/3*t**3 + 0*t + 2*t**2. Find l such that z(l) = 0.
-2, 0
Let o = -30 - -30. Let h(m) be the third derivative of o*m - 1/36*m**4 - 1/90*m**5 + 0 + 0*m**3 - m**2. Factor h(x).
-2*x*(x + 1)/3
Let z(c) be the second derivative of -1/50*c**5 - 3*c - 8/15*c**3 + 4/5*c**2 + 0 + 1/6*c**4. Factor z(s).
-2*(s - 2)**2*(s - 1)/5
Let c(w) be the third derivative of 1/840*w**7 - 1/240*w**6 + 0*w**3 + 0*w**4 + 0*w + 1/240*w**5 + 4*w**2 + 0. Factor c(o).
o**2*(o - 1)**2/4
Let o(g) be the first derivative of -7*g**3/9 - 3*g**2/2 - 2*g/3 - 4. Factor o(b).
-(b + 1)*(7*b + 2)/3
Let x(r) be the second derivative of -9*r**5/20 - 5*r**4/4 + r**3 + 4*r. Factor x(v).
-3*v*(v + 2)*(3*v - 1)
Let w(q) = -8*q - 5. Let f be w(-1). Let u(o) be the first derivative of 0*o - 2/3*o**2 - 2/9*o**f + 1. Factor u(s).
-2*s*(s + 2)/3
Let f(d) = 2*d**2 + 6*d - 6. Let o be f(-5). Suppose -3*v + 15 = 0, 2*j + 0*v + 2*v = o. Suppose 2/11*z - 2/11*z**3 - 4/11*z**j + 4/11 = 0. Calculate z.
-2, -1, 1
Let g(o) be the third derivative of -7*o**2 + 1/21*o**3 + 8/105*o**5 + 0 - 2/21*o**4 + 0*o. Determine s so that g(s) = 0.
1/4
Let -264*s + 527*s - 20 - 257*s + 2*s**2 = 0. What is s?
-5, 2
What is w in 0 - 2/5*w**2 + 2/5*w = 0?
0, 1
Let b = 21475/14 + -2905/2. Let a = 82 - b. Factor a*h + 2/7*h**2 + 0.
2*h*(h + 2)/7
Solve 6 + 2/3*o**3 - 6*o**2 - 2/3*o = 0.
-1, 1, 9
Factor 0*w**2 + 1/6*w**3 + 0*w + 0 - 1/6*w**4.
-w**3*(w - 1)/6
Factor 0 - 6/7*r**5 - 16/7*r**4 + 0*r**2 - 8/7*r**3 + 0*r.
-2*r**3*(r + 2)*(3*r + 2)/7
Let a = -49 + 49. Let p be (a/(-1))/(-17 - -16). Let -2/7*l**3 - 4/7*l**2 + p + 0*l = 0. What is l?
-2, 0
Factor 6*d**5 + 3*d**5 - 4*d**5 - 10*d**3 - 5*d**4.
5*d**3*(d - 2)*(d + 1)
Let w be ((-33)/(-22))/((9/(-2))/(-3)). Let l = 337/134 + -1/67. Factor 2*z**3 + 1/2*z**5 - z**2 + 2*z**4 - w - l*z.
(z - 1)*(z + 1)**3*(z + 2)/2
Let l(m) be the third derivative of -1/40*m**6 + 0 - 2*m**2 + 0*m**3 + 0*m - 1/20*m**5 + 0*m**4. Determine w so that l(w) = 0.
-1, 0
Let i(t) be the first derivative of -t**4/4 - t**3 + 2*t**2 + 2*t + 6. Let k be i(-4). Let 0*v**k - 3/2*v - 1 + 1/2*v**3 = 0. What is v?
-1, 2
Factor 1/4*w**4 + w**3 + 0*w - 5/4*w**2 + 0.
w**2*(w - 1)*(w + 5)/4
Let x(q) = 2*q**2 - 17*q - 2. Let i(b) = b**2 + b - 1. Let j(g) = -2*i(g) - x(g). Factor j(l).
-(l - 4)*(4*l + 1)
Suppose 6*y = 18 - 6. Suppose 2/5*z + 0 + 1/5*z**y = 0. Calculate z.
-2, 0
What is r in 191*r + 8*r**5 - 9*r**3 - 3*r**2 - 5*r**5 + 3*r**4 - 185*r = 0?
-2, -1, 0, 1
Let y(a) be the second derivative of 7*a**6/540 + a**5/90 + a**3/6 - 4*a. Let j(p) be the second derivative of y(p). Factor j(z).
2*z*(7*z + 2)/3
Let c(v) be the second derivative of -v**4/8 + 7*v**3/12 - v**2/2 + 38*v. Factor c(q).
-(q - 2)*(3*q - 1)/2
Let h(y) be the second derivative of y**5/150 - y**4/90 + 25*y. Factor h(i).
2*i**2*(i - 1)/15
Let a(r) = -7 + 13*r - r**2 - r