*2 + 6*i + 2. Let j(s) = -3*g(s) - 2*r(s). Let o be j(-3). Factor -3 + 4*k**o + 1 - 2*k**2.
2*(k - 1)*(k + 1)
Let k(f) be the third derivative of -f**7/240 - f**6/96 + f**5/40 - 3*f**4/8 - 10*f**2. Let u(d) be the second derivative of k(d). Factor u(a).
-3*(a + 1)*(7*a - 2)/2
Let n(g) be the second derivative of 4/7*g**3 + 0 + 3/14*g**4 + 4/7*g**2 + 5*g. Factor n(o).
2*(3*o + 2)**2/7
Factor -3 + 3 + 32*x - 26*x - 2*x**2.
-2*x*(x - 3)
Let u(w) be the first derivative of 0*w + 0*w**3 + 2/5*w**5 - 1/3*w**6 + 0*w**2 - 2 + 0*w**4. Find c such that u(c) = 0.
0, 1
Let h(m) = m**3 - m**2 + m + 4. Let g be h(0). Let b(f) = 5*f**2 - 2*f - 3. Let x(d) = 6*d**2 - 2*d - 4. Let n(a) = g*x(a) - 5*b(a). Factor n(o).
-(o - 1)**2
Let a(i) = i**3 + i**2 - 3*i - 2. Let v be a(-2). Let x be (2 - -6) + (-2 - 2). Factor -2/7*z + 4/7*z**3 + 0*z**2 + v + 0*z**x - 2/7*z**5.
-2*z*(z - 1)**2*(z + 1)**2/7
Let t be (12/(-18))/(28/(-12)). Factor -2/7*v**3 + 2/7*v - 2/7 + t*v**2.
-2*(v - 1)**2*(v + 1)/7
Let a(y) be the first derivative of 3*y**4/4 + y**3 + 32. Factor a(j).
3*j**2*(j + 1)
Let u be (-5)/(-1 - 0) + -1. Let -r + 2*r - u*r - r + 2*r**2 = 0. Calculate r.
0, 2
Let z(f) be the third derivative of -f**6/30 + 4*f**5/15 - 2*f**4/3 + f**2. Determine k so that z(k) = 0.
0, 2
Let i(o) be the first derivative of 2*o**3/33 + 6*o**2/11 - 14*o/11 - 33. Suppose i(k) = 0. What is k?
-7, 1
Suppose 6 = 4*o - 2*o. Suppose 0 = -o*f - 2*k, f + 1 = -3*f - 3*k. Suppose 2 + f*v - v + 0*v**2 - v**2 = 0. Calculate v.
-1, 2
Let h(c) = -2*c - 4. Let k be h(-4). What is d in 6*d**2 - 2 + 3*d + 3*d**3 + 7*d**2 + k*d**3 - d**2 = 0?
-1, 2/7
Let x(h) = -h**2 + 11*h + 3. Let p be x(11). Factor i**2 + 0*i - i**4 - i + 5*i**p - 4*i**3 + 0*i**2.
-i*(i - 1)**2*(i + 1)
Let p = -3 - 7. Let g = p + 13. Suppose 2/7*z**2 + 0*z + 8/7*z**g - 8/7*z**5 + 0 - 2/7*z**4 = 0. What is z?
-1, -1/4, 0, 1
Solve 3/2*a**2 + 0 + 9/2*a = 0.
-3, 0
Let i(j) = -7*j**2 - 14*j - 6. Let r(y) be the third derivative of y**5/60 - y**4/24 - y**3/6 + y**2. Let k(d) = 3*i(d) - 6*r(d). Factor k(o).
-3*(3*o + 2)**2
Let b(d) be the first derivative of 1/30*d**5 - 1/105*d**7 - d**2 + 0*d**3 + 0*d**4 - 3 + 0*d**6 + 0*d. Let o(f) be the second derivative of b(f). Factor o(l).
-2*l**2*(l - 1)*(l + 1)
Determine x so that -495*x**2 - 376*x - 95*x**3 - 4*x**4 - 29*x - x**4 = 0.
-9, -1, 0
Let x(w) be the third derivative of w**9/45360 - w**7/3780 + w**5/360 - w**4/24 + 3*w**2. Let o(s) be the second derivative of x(s). Factor o(q).
(q - 1)**2*(q + 1)**2/3
Let b be (6/4)/((-15)/(-20)). Factor 1/2*d**b + 3/2*d + 1.
(d + 1)*(d + 2)/2
Let d(m) be the first derivative of 3*m**4/14 - 22*m**3/21 + 12*m**2/7 - 8*m/7 - 5. Solve d(z) = 0.
2/3, 1, 2
Let g(h) = 7*h**3 + 14*h**2 + 9*h + 6. Let n(w) = w**3 + w**2 + 1. Let j(o) = -g(o) + 4*n(o). Factor j(y).
-(y + 1)*(y + 2)*(3*y + 1)
Let j = 0 - -3. Let n**2 + 3*n + j*n**3 - 2*n - 5*n**2 = 0. What is n?
0, 1/3, 1
Factor 0*o**2 + 0*o + 1/6*o**4 + 0 - 1/6*o**3.
o**3*(o - 1)/6
Let -6*n**2 + 15/2*n - 3/2 = 0. What is n?
1/4, 1
Let u(z) be the second derivative of 5*z**7/42 - z**6/2 - 15*z**5/4 - 85*z**4/12 - 5*z**3 - 39*z. Factor u(r).
5*r*(r - 6)*(r + 1)**3
Solve 39/5*f - 6/5*f**2 - 6 - 3/5*f**3 = 0 for f.
-5, 1, 2
Find r such that -3*r**3 - 5 + r**2 - 21*r - 16*r**2 - 4 = 0.
-3, -1
Suppose 0 - 2/9*p**2 + 4/9*p = 0. What is p?
0, 2
Let l(y) be the third derivative of y**9/13440 + y**8/1920 + y**7/672 + y**6/480 - y**5/30 - y**2. Let c(m) be the third derivative of l(m). Solve c(n) = 0.
-1, -1/3
Let i(c) = -c**3 + 19*c**2 + c - 17. Let q be i(19). Factor -3/2*u**4 - 27/2*u**q + 33/4*u**3 + 3*u + 6.
-3*(u - 2)**3*(2*u + 1)/4
Let j be 4/(-6)*(-8 + 5). Let a(g) be the third derivative of 0 - 1/150*g**5 - 1/15*g**4 + 0*g + 2*g**j - 4/15*g**3. Factor a(o).
-2*(o + 2)**2/5
Let k = -7 + 12. Determine t, given that 3*t**3 + t**4 + 0*t**4 + 3*t**5 + k*t**4 = 0.
-1, 0
Let b(l) = l**3 - 14*l**2 + 13*l + 4. Let v be b(13). Determine a, given that -a**2 + 1/4*a**5 + 3/2*a**3 + 0 + 1/4*a - a**v = 0.
0, 1
Solve -31*d**3 - 5*d**2 + 13*d**3 + 13*d**3 + 0*d**2 = 0 for d.
-1, 0
Let l be 4/(-6) - 17/(-3). Factor 3*c**4 - 6*c**3 + c**l - 3*c**5 + 3*c**4 + 2*c**2.
-2*c**2*(c - 1)**3
Suppose -5*t**3 + t**2 + 20*t + 0*t**3 - 5 + 13*t**2 - 3*t**4 - 3 = 0. What is t?
-2, 1/3, 2
Suppose -4*b = -2*r - 20, 3*r + 2*r = 5*b - 30. Let f = -131/6 - -965/42. Factor f*a**b + 2/7*a**5 + 12/7*a**3 + 2/7*a + 8/7*a**2 + 0.
2*a*(a + 1)**4/7
Let l(y) = 5*y**2 + 7*y + 2. Let p(c) be the third derivative of c**5/30 + c**4/8 + c**3/6 - 9*c**2. Let r(i) = 3*l(i) - 7*p(i). Factor r(j).
(j - 1)*(j + 1)
Let v(p) = p. Let y be 3*4/(-3)*-1. Let l(j) = j**2 - 6*j. Let u(w) = y*v(w) + l(w). Factor u(x).
x*(x - 2)
Let b(r) = -5*r**2 + 5*r + 4. Let y(h) be the first derivative of h**3/3 - h**2/2 - h - 3. Let p(n) = -b(n) - 4*y(n). Solve p(f) = 0 for f.
0, 1
Let t(p) be the third derivative of p**8/10080 + p**7/630 + p**6/120 - p**4/3 - 7*p**2. Let r(k) be the second derivative of t(k). Determine c so that r(c) = 0.
-3, 0
Find k such that 26*k**2 - 48 - 2*k**2 - 3*k**4 + 712*k**3 - 712*k**3 = 0.
-2, 2
Let g(k) = 17*k**4 + 3*k**3 + 5. Let w(i) be the second derivative of -i**6/30 - i**2/2 - 10*i. Let y(r) = -g(r) - 5*w(r). Factor y(q).
-3*q**3*(4*q + 1)
Let u(x) be the first derivative of -2*x**5/15 + 4*x**3/9 - 2*x/3 - 3. Factor u(c).
-2*(c - 1)**2*(c + 1)**2/3
Let b be (-243)/(-6) - (-2)/(-4). Let l be ((-10)/b)/((-1)/3). Suppose -3/4*n + 1/2*n**2 + l*n**3 - 1/2 = 0. Calculate n.
-1, -2/3, 1
Suppose -5*i = 5*p + 5, 4*i + 3*p - 5*p = 2. Factor i*c - 1/3*c**3 + 2/3*c**2 + 1/3*c**5 + 0 - 2/3*c**4.
c**2*(c - 2)*(c - 1)*(c + 1)/3
Factor 2/11*i**4 - 12/11*i**3 - 2/11*i**2 + 0 + 12/11*i.
2*i*(i - 6)*(i - 1)*(i + 1)/11
Find c such that 12 + 5*c - c**2 - 1 - 5 = 0.
-1, 6
Let b(f) = -14*f**4 + 32*f**3 - 22*f**2 + 17*f. Let s(v) = -7*v**4 + 16*v**3 - 11*v**2 + 8*v. Let r(m) = -6*b(m) + 13*s(m). Factor r(o).
-o*(o - 1)**2*(7*o - 2)
Let k = 235 - 937/4. Factor 0 + 3/4*f**2 - k*f.
3*f*(f - 1)/4
Let q = 434131/9 - 48315. Let x = -78 - q. Factor -x*m**4 - 8/9*m**3 - 4/3*m**2 - 8/9*m - 2/9.
-2*(m + 1)**4/9
Let v(o) be the third derivative of o**8/3360 + o**7/1260 - o**4/24 + o**2. Let h(a) be the second derivative of v(a). Suppose h(y) = 0. Calculate y.
-1, 0
Let o(z) be the first derivative of -z**7/175 - z**6/60 - z**5/150 + z**4/60 + z**2/2 + 1. Let j(c) be the second derivative of o(c). Factor j(m).
-2*m*(m + 1)**2*(3*m - 1)/5
Let s(z) be the first derivative of z**5/210 - z**4/42 + 3*z**2/2 + 3. Let u(n) be the second derivative of s(n). Factor u(m).
2*m*(m - 2)/7
Let y(k) be the second derivative of -k**6/5 + 4*k**5/5 - 7*k**4/6 + 2*k**3/3 - 4*k. Factor y(b).
-2*b*(b - 1)**2*(3*b - 2)
Suppose -3*f - 4 = -13. Let q be 10 + (-135)/18 + -2. Factor q*l**f + 0 - l**2 + 1/2*l.
l*(l - 1)**2/2
Let p(c) be the second derivative of c**6/135 + c**5/45 - 2*c**3/27 - c**2/9 + 11*c. Factor p(k).
2*(k - 1)*(k + 1)**3/9
Let z(b) = 4*b**3 + 3*b**2 - 3*b - 3. Let w(g) = -g**3 - g**2 + g + 1. Let t(s) = 3*w(s) + z(s). Factor t(i).
i**3
Let f(c) be the third derivative of c**7/630 + c**6/108 - c**5/45 - c**4/3 - c**2. Let p(a) be the second derivative of f(a). Factor p(n).
4*(n + 2)*(3*n - 1)/3
Let w(u) be the second derivative of -2*u + 0 + 2/3*u**3 - 2/3*u**2 + 1/10*u**5 - 1/90*u**6 - 13/36*u**4. Suppose w(p) = 0. What is p?
1, 2
Let r(u) = -u**3 - 2*u**2 + 2. Let d be r(-2). What is a in 2*a**4 + 3*a**d + 0*a**2 - 5*a**2 = 0?
-1, 0, 1
Let h = 104 - 99. Let i(u) be the second derivative of 3*u + 5/4*u**4 + 7/2*u**3 + 0 - 3/5*u**h - 3*u**2. Determine k so that i(k) = 0.
-1, 1/4, 2
Suppose -5*g = 49 - 4. Let r = -9 - g. Factor 2/3*u**2 + 7/3*u**3 + 0*u + r.
u**2*(7*u + 2)/3
Let p(a) = -3*a**3 + a**2 + 4*a + 2. Let g(q) = 3*q**3 - 3*q - 3. Let v(k) = 2*g(k) + 3*p(k). Determine f, given that v(f) = 0.
-1, 0, 2
Let -2/3*h - 2/9*h**3 + 2/3*h**2 + 2/9 = 0. Calculate h.
1
Let g(l) be the first derivative of -4 + 2*l - 1/18*l**4 + 1/9*l**3 + 0*l**2. Let c(u) be the first derivative of g(u). Factor c(n).
-2*n*(n - 1)/3
Factor 19*u**2 - 19*u**2 - 5*u**3 + 8*u - 3*u.
-5*u*(u - 1)*(u + 1)
Let i be (22/18)/1*9/9. Let a(y) be the first derivative of 1 - 4/9*y + i*y**2 + 7/18*y**4 - 32/27*y**3. Factor