) be the second derivative of 0 + 0*q**3 - 1/80*q**5 + 4*q + 1/48*q**4 + 0*q**2. Factor m(l).
-l**2*(l - 1)/4
Let h(b) be the first derivative of b**6/180 - b**4/36 + b**2/12 + 4*b - 1. Let f(r) be the first derivative of h(r). What is x in f(x) = 0?
-1, 1
Let u(i) = 33*i - 64. Let c be u(2). Factor 0*j - 4/3*j**3 - 4/3*j**c + 0 + 4/3*j**5 + 4/3*j**4.
4*j**2*(j - 1)*(j + 1)**2/3
Let q be (-60)/18*3/(-12). Let b(c) be the first derivative of 1 + 1/2*c**4 + 0*c**2 + 0*c**3 + q*c**6 - 7/5*c**5 + 0*c. Factor b(v).
v**3*(v - 1)*(5*v - 2)
Let k be -1 + 1 - 5 - (-51)/9. Factor 8/9*z**2 + 0 - k*z**3 - 2/9*z.
-2*z*(z - 1)*(3*z - 1)/9
Let n = -118 + 122. Let d(h) be the third derivative of 0*h**3 + n*h**2 + 0*h + 0*h**4 + 1/210*h**7 + 0 - 1/60*h**5 + 0*h**6. Determine q so that d(q) = 0.
-1, 0, 1
Let g(q) = 2 - 3 + 0*q**2 - 5*q - q**2. Let w be g(-3). Factor -16*n**2 + n**5 - 1 - 6*n**3 + 16*n**3 - 5*n**4 + 6*n**2 + w*n.
(n - 1)**5
Let p be 4 + -1 - 440/360. What is q in -p*q**3 - 2*q**2 + 16/9*q + 8/9 + 10/9*q**4 = 0?
-1, -2/5, 1, 2
Let v be ((-2)/(-5))/1 - -3. Let y = -3 + v. Let -2/5*w**3 + 0 + y*w + 0*w**2 = 0. Calculate w.
-1, 0, 1
Let g(x) be the first derivative of -2*x**3/15 + 2*x**2/5 + 6*x/5 + 62. Determine t so that g(t) = 0.
-1, 3
Let f(y) = -y**2 - y + 3. Let q be f(0). Factor 8*p**2 + 6*p**3 + q*p**5 + 27*p - 36*p + 3 - 9*p**4 - 2*p**2.
3*(p - 1)**4*(p + 1)
Let q(y) = -y**2 + 6*y + 6. Let j be q(7). Let k = j + 3. Let -4/5*i**k + 2/5*i**3 + 2/5*i + 0 = 0. Calculate i.
0, 1
Let g(l) be the second derivative of -l**5/10 - l**4/2 + 4*l**2 + 3*l. Determine q so that g(q) = 0.
-2, 1
Suppose 3*s = -5*u - 2 + 7, 0 = -5*u - s + 5. Let h be u + -1 - (-20)/90. Factor 8/9*r**3 + 2/9*r**4 + 4/3*r**2 + 8/9*r + h.
2*(r + 1)**4/9
Find f, given that -8/3*f**4 + 2/3*f**2 + 26/3*f - 26/3*f**3 + 2 = 0.
-3, -1, -1/4, 1
Let d(s) be the third derivative of -s**7/1260 + s**5/60 + s**4/3 - 9*s**2. Let y(v) be the second derivative of d(v). Factor y(q).
-2*(q - 1)*(q + 1)
Suppose -4*o + 1 = -11. Factor 3*q + o*q + q**2 + 1 + 0*q - 4*q.
(q + 1)**2
Factor 4*h**2 + 14*h**4 + 16*h**4 + 4*h - 4*h**3 - 34*h**4.
-4*h*(h - 1)*(h + 1)**2
Let a(y) be the second derivative of 3/8*y**4 - 4*y - 1/40*y**6 + 0*y**5 - y**3 + 0 + y**2. Let j(g) be the first derivative of a(g). Factor j(c).
-3*(c - 1)**2*(c + 2)
Let w(q) be the first derivative of -3*q**4/16 - q**3/2 - 3*q**2/8 - 8. Solve w(b) = 0.
-1, 0
Let t(q) be the first derivative of -q**6/7 - 2*q**5/7 + q**4/14 + 10*q**3/21 + 2*q**2/7 - 5. What is b in t(b) = 0?
-1, -2/3, 0, 1
Let d(y) be the third derivative of -y**8/252 + 2*y**7/105 - 4*y**5/45 - 13*y**2. Solve d(g) = 0 for g.
-1, 0, 2
Let a(z) be the second derivative of z**5/10 + 2*z**4/3 + 4*z**3/3 + 18*z. Factor a(g).
2*g*(g + 2)**2
Let d(o) be the first derivative of -4*o**3/21 + 2*o**2/7 - 5. Find x, given that d(x) = 0.
0, 1
Let t(z) be the second derivative of -z**6/180 + z**3 + 6*z. Let o(y) be the second derivative of t(y). Suppose o(d) = 0. Calculate d.
0
Let v(h) be the second derivative of -h**4/30 + 2*h**3/15 - h**2/5 - 9*h. Find t, given that v(t) = 0.
1
Let l(d) be the third derivative of -d**8/20160 + d**6/720 - d**5/20 + 2*d**2. Let a(o) be the third derivative of l(o). Find g such that a(g) = 0.
-1, 1
Let g(p) be the second derivative of -p**7/189 + 2*p**6/135 - p**4/27 + p**3/27 + p - 10. Find x such that g(x) = 0.
-1, 0, 1
Let h = -1247 + 1249. Factor 0 + 3/2*z**h + 1/2*z**3 + z.
z*(z + 1)*(z + 2)/2
Suppose 2*z - 1 = -3*m + 13, 2*m = 3*z + 31. Suppose 15 = m*c - 3*c. Find v such that 5*v**2 - 3*v - 6*v**2 + c*v = 0.
0
Solve 0*x - 2/9*x**3 - 4/9*x**4 + 0 + 2/9*x**5 + 4/9*x**2 = 0 for x.
-1, 0, 1, 2
Let o(r) be the third derivative of -r**8/112 + r**6/40 + 10*r**2. Determine d so that o(d) = 0.
-1, 0, 1
Factor -4/3*v + 0 + 26*v**2 + 70/3*v**4 - 48*v**3.
2*v*(v - 1)**2*(35*v - 2)/3
Let p = 45 + -45. Let i = -23/4 + 6. Factor 1/4*u**2 - i*u + p.
u*(u - 1)/4
Let v = 4 - -2. Let s = -2 + v. Let 2*a**3 + 4*a**3 - 2*a + a**4 + 3 - 4*a**3 - s = 0. Calculate a.
-1, 1
Let g(z) be the first derivative of z**7/42 - z**5/5 - z**4/6 + z**3/2 + z**2 - z - 2. Let a(u) be the first derivative of g(u). Factor a(m).
(m - 2)*(m - 1)*(m + 1)**3
Suppose -x + 22 = 5*u, 0 = 4*u - 6 - 10. Factor -12/5*q**3 - 2/5*q**5 + 0 - 8/5*q**x - 2/5*q - 8/5*q**4.
-2*q*(q + 1)**4/5
Let j(z) be the first derivative of 1/12*z**3 + 1/4*z - 1 - 1/4*z**2. Factor j(s).
(s - 1)**2/4
Let x be (-60)/(-14) - (-7)/(35/(-10)). Factor 8/7 + 10/7*w**2 - x*w - 2/7*w**3.
-2*(w - 2)**2*(w - 1)/7
Find f, given that 5/2*f**3 + 0 + 15/2*f**2 + 0*f = 0.
-3, 0
Let a(j) be the third derivative of 0*j**5 + 0*j**6 + 1/1008*j**8 + 0*j**3 - 1/630*j**7 + 0*j + 0 - 3*j**2 + 0*j**4. What is k in a(k) = 0?
0, 1
Factor -12/7*r**2 + 6/7*r**3 + 10/7*r - 3/7 - 1/7*r**4.
-(r - 3)*(r - 1)**3/7
Let h(t) be the first derivative of 2/5*t**3 - 1/10*t**4 - 2/5*t**2 + 0*t + 8. Find v such that h(v) = 0.
0, 1, 2
Solve 3/4*a**4 + 0 + 1/4*a**3 - 1/2*a - 3/4*a**2 + 1/4*a**5 = 0 for a.
-2, -1, 0, 1
Let g(w) = -4*w**2 - 4*w - 2. Let p(y) = 2*y**2. Let v(z) = -2*g(z) - 2*p(z). Factor v(n).
4*(n + 1)**2
Solve -2 - 17*n**3 - 134*n + 86*n - 6 - 90*n**2 - 33*n**3 = 0 for n.
-1, -2/5
Let p(l) = l**2 - 2*l - 5. Let b be p(4). Let r(t) be the first derivative of -2 - 2/9*t**2 - 2/27*t**b - 2/9*t. Factor r(v).
-2*(v + 1)**2/9
Suppose 3*t = -b + 11, -5 - 10 = -5*t. Let r be ((-4)/(-15))/((-2)/(-3)). Let 2/5*h - 4/5 + r*h**b = 0. Calculate h.
-2, 1
Let c(q) be the first derivative of -1/3*q**3 + 3 - q**2 + 0*q. Factor c(h).
-h*(h + 2)
Let z(p) = -p**5 - p**4 + p**3 + 1. Let x(o) = 6*o**5 + 7*o**4 - 4*o**3 + 2*o**2 - 7. Let m(y) = -4*x(y) - 28*z(y). What is i in m(i) = 0?
-1, 0, 2
Let -58*r + 58*r + r**3 = 0. What is r?
0
Determine s so that 2/11*s**4 - 4/11*s**3 + 6/11 + 4/11*s - 8/11*s**2 = 0.
-1, 1, 3
Let v(p) be the third derivative of p**7/315 - p**6/27 + 13*p**5/90 - p**4/6 + 8*p**2. Factor v(f).
2*f*(f - 3)**2*(3*f - 2)/9
Let l = -4 + 1. Let n = l - -6. Determine f, given that -f**3 + f**2 + f**2 + 17*f**n - 4*f + 10*f**4 = 0.
-1, 0, 2/5
Let o(x) be the third derivative of x**6/60 - x**5/30 - x**4/6 - 7*x**2. Factor o(l).
2*l*(l - 2)*(l + 1)
Suppose y**3 + 2*y**3 + 3*y - 4*y**2 - 9*y + y**2 = 0. Calculate y.
-1, 0, 2
Let z(b) be the second derivative of 0 - 1/3*b**3 + b - 1/18*b**4 - 2/3*b**2. Find x such that z(x) = 0.
-2, -1
Let z(d) = -3*d**5 - 7*d**3 + 5*d**2 - 5. Let l(m) = -4*m**5 - 8*m**3 + 6*m**2 - 6. Let v(a) = 5*l(a) - 6*z(a). Solve v(r) = 0.
-1, 0, 1
Let p = 680 + -676. What is a in 0*a + 0 - 1/2*a**4 + p*a**3 - 8*a**2 = 0?
0, 4
Let d(f) be the third derivative of -f**7/420 - f**6/270 - f**3/2 - 6*f**2. Let v(i) be the first derivative of d(i). Find b such that v(b) = 0.
-2/3, 0
Let z(a) be the first derivative of 6 + 0*a - 1/8*a**2 + 1/12*a**3. Factor z(u).
u*(u - 1)/4
Suppose -2*r**3 - 2*r**2 - 5*r**2 + 3*r + r**2 + 5*r**3 = 0. Calculate r.
0, 1
Let p(g) = -8*g - 5. Let b be p(-2). Let n = 13 - b. Factor -4/3*o - 1/3*o**n - 1.
-(o + 1)*(o + 3)/3
Let a(c) be the third derivative of c**9/5040 - c**8/1120 + c**7/840 - c**4/6 - 4*c**2. Let n(o) be the second derivative of a(o). Solve n(u) = 0.
0, 1
Factor 0 + 0*c - 1/5*c**3 + 1/5*c**2.
-c**2*(c - 1)/5
Let m = 49 + -19. Let p = m + -25. Factor 1/5*y**2 + 0 + 1/5*y**3 - 1/5*y**4 + 0*y - 1/5*y**p.
-y**2*(y - 1)*(y + 1)**2/5
Let m(f) be the second derivative of 2*f**7/21 - 8*f**6/15 + 2*f**5/5 + 4*f**4/3 - 2*f**3 - 12*f. Solve m(n) = 0.
-1, 0, 1, 3
Let d(x) be the first derivative of -1/3*x**3 - 3 + 0*x**2 - 4*x - 1/12*x**4. Let n(a) be the first derivative of d(a). Let n(t) = 0. What is t?
-2, 0
Let r(w) = 25*w**2 - 65*w - 65. Let n(z) = -4*z**2 + 11*z + 11. Let l(s) = -35*n(s) - 6*r(s). Suppose l(m) = 0. What is m?
-1/2, 1
Let o = -1355 + 5421/4. Factor -o*c**2 - 1/2*c + 0 + 1/4*c**3.
c*(c - 2)*(c + 1)/4
Let j(r) be the first derivative of -1/20*r**5 + r - 1/2*r**3 - 1/2*r**2 - 1 - 1/4*r**4. Let s(q) be the first derivative of j(q). Factor s(i).
-(i + 1)**3
Let x(z) be the first derivative of z**3/3 + 3*z**2/2 + 2*z - 11. Determine v, given that x(v) = 0.
-2, -1
Let h(y) be the third derivative of -y**8/30240 - y**7/3780 - y**6/1080 - y**5/20 - 10*y**2. Let i(x) be the third deriva