t) be the third derivative of -t**5/180 + t**3/18 - 13*t**2. Solve j(d) = 0 for d.
-1, 1
Let h(q) be the first derivative of q**7/3360 - q**5/480 - q**3/3 + 1. Let y(g) be the third derivative of h(g). Factor y(z).
z*(z - 1)*(z + 1)/4
Let j be (-1 + 6)/(4 + (-1 - 2)). Let f(h) be the second derivative of 0 + 2*h**3 - 1/2*h**4 + 1/20*h**j + 2*h - 4*h**2. Solve f(r) = 0 for r.
2
Let m(l) be the first derivative of 0*l**3 + 1/180*l**5 - 1/72*l**4 + 1/2*l**2 + 0*l - 4. Let a(r) be the second derivative of m(r). Factor a(y).
y*(y - 1)/3
Let u(x) be the third derivative of x**7/4200 + x**6/600 + x**5/200 + x**4/120 + x**3/3 - 9*x**2. Let f(h) be the first derivative of u(h). Factor f(m).
(m + 1)**3/5
Let u(j) be the second derivative of -7*j**4/4 + 5*j**3/2 + 3*j**2 + 4*j. What is l in u(l) = 0?
-2/7, 1
Let l(f) be the second derivative of f**7/147 + f**6/35 + 3*f**5/70 + f**4/42 + 5*f**2/2 - 4*f. Let q(t) be the first derivative of l(t). Solve q(w) = 0.
-1, -2/5, 0
Let q(n) = n**2 - 5*n + 2. Let x be q(5). Determine o so that -x - 6*o**2 - 3*o**3 + 0 + 2 = 0.
-2, 0
Let t(s) be the third derivative of -1/448*s**8 - 1/96*s**6 - 1/240*s**5 - 1/120*s**7 - 2*s**2 + 0*s**4 + 0*s + 0 + 0*s**3. Factor t(o).
-o**2*(o + 1)**2*(3*o + 1)/4
Factor -48/5*f**3 + 93/5*f + 168/5*f**2 + 12/5.
-3*(f - 4)*(4*f + 1)**2/5
What is f in 2*f - f**4 + 5*f**2 - f**3 + 3*f**4 - f**4 + 5*f**3 = 0?
-2, -1, 0
Let g(l) = -3*l + 18. Let d be g(12). Let a be (-8)/d + (-4)/(-18). Factor -2/3*o + 2/3*o**2 + a*o**3 - 2/3.
2*(o - 1)*(o + 1)**2/3
Suppose 0 = -4*m - 64 - 20. Let l be ((-12)/m)/((-40)/(-28)). Find v such that 2/5*v**4 + 0 - l*v**3 - 2/5*v**2 + 2/5*v = 0.
-1, 0, 1
Let r(s) be the third derivative of -s**7/630 - s**6/60 - s**5/15 - s**4/6 + 9*s**2. Let c(o) be the second derivative of r(o). Solve c(u) = 0.
-2, -1
Suppose 13*s + 4*s**2 + 7 + 11*s - 2 + 15 = 0. Calculate s.
-5, -1
Let z(i) be the third derivative of 7*i**6/360 + 3*i**5/40 + i**4/12 + 2*i**3/3 + 4*i**2. Let m(n) be the first derivative of z(n). Factor m(t).
(t + 1)*(7*t + 2)
Let y be 5 - (-8)/(-4) - 3. Let n(r) be the second derivative of -4*r + 0 + 1/75*r**6 - 1/50*r**5 + 1/15*r**3 - 1/30*r**4 + y*r**2. What is f in n(f) = 0?
-1, 0, 1
Let g(t) = t**3 + t + 3. Let n be g(0). Find l such that 5*l**4 + 5 - 3*l**4 - 1 + l**n - 3*l**2 + 4*l**3 - 8*l = 0.
-2, 1/2, 1
Suppose 12*y - 10*y = 0. Let n be 0/(-3) - (-2 + -1). Determine o, given that y*o**2 + 0*o + 1/2*o**n - 1/2*o**4 + 0 = 0.
0, 1
Suppose 20 = 5*r - 20. Suppose r = 2*l - 3*l + 2*y, 12 = 3*y. Factor l - 3/5*p**2 - 3/5*p.
-3*p*(p + 1)/5
Factor -8/11*v**3 + 6/11*v**2 + 2/11*v + 0.
-2*v*(v - 1)*(4*v + 1)/11
Let m(y) be the first derivative of -y**2/2 + 4. Let k be m(-4). Find t, given that -1/3*t**3 - 2*t**2 - k*t - 8/3 = 0.
-2
Let u(w) = 4*w**2 + 11*w - 27. Let x(d) = -d**2 - 4*d + 9. Let p(l) = 2*u(l) + 7*x(l). Find b, given that p(b) = 0.
3
Let l(w) be the first derivative of w**6/27 + 2*w**5/45 - 5. Factor l(u).
2*u**4*(u + 1)/9
Let l(n) be the third derivative of -n**7/105 + n**6/12 - 56*n**2. Solve l(m) = 0.
0, 5
Suppose -q - 5*q = q. Let n(h) be the first derivative of -1/9*h**6 + 0*h + 2/5*h**5 + 2/9*h**3 - 2 + q*h**2 - 1/2*h**4. What is w in n(w) = 0?
0, 1
Let j = 179/9 - 59/3. Factor -j*g**2 - 4/9 + 2/3*g.
-2*(g - 2)*(g - 1)/9
Let s = -51 + 53. Let r(h) be the first derivative of 14/3*h**3 - 5/2*h**4 - s*h**2 - 2 + 0*h. Factor r(l).
-2*l*(l - 1)*(5*l - 2)
Let w(b) be the first derivative of -b**6/72 - b**5/60 - 2*b**3/3 - 3. Let g(p) be the third derivative of w(p). Solve g(c) = 0 for c.
-2/5, 0
Suppose 4*j - 19 = -j - 3*x, -3 = -x. Factor 7*f**2 - 2*f**4 + 2*f**5 + 4*f**3 - 8*f**j + f**4 - 4*f**4.
f**2*(f - 1)**2*(2*f - 1)
Let j be (0 + 0)/(1*-2). Let i(y) be the third derivative of -1/84*y**8 + 0*y**3 + 1/35*y**7 + 3*y**2 + 0*y + 0 + j*y**6 - 1/30*y**5 + 0*y**4. Factor i(r).
-2*r**2*(r - 1)**2*(2*r + 1)
Factor 1/2*k**2 + 1/2*k**3 - 1/2*k**4 - 1/2*k + 0.
-k*(k - 1)**2*(k + 1)/2
Let u = -1978/15 - -132. Let j(v) be the first derivative of u*v**3 + 1 - 1/10*v**4 + 1/5*v**2 - 2/25*v**5 + 0*v. Factor j(w).
-2*w*(w - 1)*(w + 1)**2/5
Find d such that -9/5*d - 3/5*d**2 + 12/5 = 0.
-4, 1
Let o(b) be the second derivative of -b**6/12 + b**5/8 + 31*b. Factor o(s).
-5*s**3*(s - 1)/2
Factor -3/4*i**2 + 21/4*i - 9/2.
-3*(i - 6)*(i - 1)/4
Factor -4/3*y**2 - 2/3*y - 2/3*y**3 + 0.
-2*y*(y + 1)**2/3
Let g(l) be the third derivative of l**8/6720 - l**6/240 - l**5/15 + 4*l**2. Let t(i) be the third derivative of g(i). Let t(o) = 0. Calculate o.
-1, 1
Let p(y) be the third derivative of -y**7/1800 + y**6/720 + y**5/300 + y**4/24 + 3*y**2. Let s(g) be the second derivative of p(g). Factor s(l).
-(l - 1)*(7*l + 2)/5
Let z be ((-1 - 0)*(-7 + 7))/2. Let n(w) be the first derivative of 1 - 5/4*w**4 - 2*w**2 - 8/3*w**3 - 1/5*w**5 + z*w. Find t, given that n(t) = 0.
-2, -1, 0
Suppose -2*z + 5 = 1. Factor -2*p**4 - 7 + 2*p**3 + 4*p**z + 7.
-2*p**2*(p - 2)*(p + 1)
Let o be 2/8*(-10)/(-15). Let n(s) be the first derivative of 1/2*s**2 + 1/2*s + o*s**3 + 2. Determine t so that n(t) = 0.
-1
Let f(k) be the third derivative of -k**6/24 + k**5/6 + 5*k**4/24 - 5*k**3/3 + 2*k**2. Factor f(b).
-5*(b - 2)*(b - 1)*(b + 1)
What is x in 0*x + 119*x**2 - 2*x + 8 - 2*x - 123*x**2 = 0?
-2, 1
Let a(i) be the second derivative of i**4/8 + 15*i**3/2 + 675*i**2/4 + 31*i. Find b, given that a(b) = 0.
-15
Let i(u) be the second derivative of 0 + 2*u - 1/6*u**4 + u**3 - 2*u**2. Factor i(s).
-2*(s - 2)*(s - 1)
Let f(r) be the first derivative of 7*r**6/4 - 4*r**5/5 - 5*r**4/24 + r**3/9 + 9. Solve f(n) = 0.
-2/7, 0, 1/3
Let h(r) = 3*r**2 + 13*r - 9. Let a be -3*8/12 - 3. Let f(i) = 2*i**2 + 9*i - 6. Let l(j) = a*h(j) + 7*f(j). Factor l(x).
-(x - 1)*(x + 3)
Let r(q) be the first derivative of -2/5*q - 1/5*q**4 + 1 + 2/25*q**5 + 0*q**3 + 2/5*q**2. Find t such that r(t) = 0.
-1, 1
Let d(y) = 5*y - 8. Let b be d(2). Let l(p) be the second derivative of 0*p**b - p - 1/18*p**4 + 0*p**3 + 0. Let l(w) = 0. What is w?
0
Let v = 97/8 + -55/8. Let 0 + 9/2*u - 57/4*u**2 - v*u**3 = 0. What is u?
-3, 0, 2/7
Let z(o) be the first derivative of 1/9*o**3 + 1/6*o + 1/4*o**2 - 1/36*o**6 - 1/10*o**5 + 1 - 1/12*o**4. Factor z(g).
-(g - 1)*(g + 1)**4/6
Let d(f) be the first derivative of f**4/2 - 4*f**3/3 + f**2 + 4. Find x such that d(x) = 0.
0, 1
Let k be ((-6)/(-5))/((-4)/(-10)). Let d be (-3 + 3)/k - -2. Factor -1/2*g**3 - g**d + 0 - 1/2*g.
-g*(g + 1)**2/2
Find r such that 17 + 59*r**5 + 35*r - 299*r**5 - 295*r**3 - 22 - 15*r**2 + 520*r**4 = 0.
-1/3, 1/4, 1
Let t(f) be the first derivative of -2*f**5/15 - 2*f**4/3 - 2*f**3/3 + 4. Solve t(d) = 0.
-3, -1, 0
Let p(b) be the second derivative of 2*b**6/45 - b**4/9 + 14*b. Solve p(t) = 0.
-1, 0, 1
Suppose -5*p = 39 + 16. Let v(x) = 3*x**2 + 10*x + 3. Let b(m) = 9*m**2 + 29*m + 9. Let f(r) = p*v(r) + 4*b(r). Factor f(u).
3*(u + 1)**2
Let s(k) = 2*k. Let v be s(1). Let 2*m**4 + 2*m**3 + v*m**4 + 0*m**4 + m - 4*m**2 - 3*m**3 = 0. Calculate m.
-1, 0, 1/4, 1
Let p(d) be the third derivative of 0*d - 2*d**2 + 0 + 1/300*d**5 - 1/600*d**6 + 1/120*d**4 - 1/30*d**3. Find t, given that p(t) = 0.
-1, 1
Determine k, given that -6 - 5*k - k - 9*k + 33*k**2 - 12*k**3 = 0.
-1/4, 1, 2
Let l(s) be the first derivative of -s**6/36 + s**5/6 - 5*s**4/12 + 5*s**3/9 - 5*s**2/12 + s/6 + 4. Suppose l(h) = 0. What is h?
1
Let t(j) be the first derivative of -9/7*j**4 + 12/35*j**5 - 3 + 13/7*j**3 + 3/7*j - 9/7*j**2. Determine k, given that t(k) = 0.
1/2, 1
Let r(g) be the second derivative of g**7/210 - g**6/120 - g**5/20 + 5*g**4/24 - g**3/3 + 2*g**2 + 2*g. Let u(c) be the first derivative of r(c). Factor u(v).
(v - 1)**3*(v + 2)
Suppose -13*k = -14*k + 3. Factor -6/7*y**k - 2/7*y**2 + 6/7*y + 2/7.
-2*(y - 1)*(y + 1)*(3*y + 1)/7
Factor 8*d**2 - 8*d**2 + 4*d + 4*d**2.
4*d*(d + 1)
Suppose -2 + 20 = -3*x. Let z be (x/(-4))/(6/8). Suppose 2*h**5 + 0*h**2 - z*h**2 + 0*h**3 + 2*h**4 - 2*h**3 = 0. What is h?
-1, 0, 1
Suppose -5*z = -2*z + 16*z. Let -2/3*u**2 + 2/9*u**4 + 0*u**3 + z - 4/9*u = 0. What is u?
-1, 0, 2
Suppose 5 = 2*n - 1. Let a be n/9 + 2/(-6). Factor a*r**3 + 0*r - 1/4*r**2 + 1/4*r**4 + 0.
r**2*(r - 1)*(r + 1)/4
Let t(u) = u**3 + u**2. Let w(s) = 2*s**3 + 2*s**2 - 10*s. Let z(v) = 3*t(v